TSTP Solution File: NUM925_3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM925_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 Aug 31 18:07:18 EDT 2022

% Result   : Theorem 2.73s 0.85s
% Output   : Refutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  191 (  59 unt; 124 typ;   0 def)
%            Number of atoms       :   89 (  81 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   44 (  22   ~;  12   |;   8   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :  119 (  67   >;  52   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :  108 ( 108 usr;  44 con; 0-3 aty)
%            Number of variables   :   69 (  69   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    bool: $tType ).

tff(type_def_6,type,
    int: $tType ).

tff(type_def_7,type,
    nat: $tType ).

tff(type_def_8,type,
    real: $tType ).

tff(type_def_9,type,
    fun_int_bool: $tType ).

tff(type_def_10,type,
    fun_int_fun_int_bool: $tType ).

tff(type_def_11,type,
    fun_nat_bool: $tType ).

tff(type_def_12,type,
    fun_nat_int: $tType ).

tff(type_def_13,type,
    fun_nat_nat: $tType ).

tff(type_def_14,type,
    fun_nat_real: $tType ).

tff(type_def_15,type,
    fun_nat_fun_nat_bool: $tType ).

tff(type_def_16,type,
    fun_real_bool: $tType ).

tff(type_def_17,type,
    fun_re413263731l_bool: $tType ).

tff(func_def_0,type,
    abs_abs_int: int > int ).

tff(func_def_1,type,
    abs_abs_real: real > real ).

tff(func_def_2,type,
    minus_minus_int: ( int * int ) > int ).

tff(func_def_3,type,
    minus_minus_nat: ( nat * nat ) > nat ).

tff(func_def_4,type,
    minus_minus_real: ( real * real ) > real ).

tff(func_def_5,type,
    one_one_int: int ).

tff(func_def_6,type,
    one_one_nat: nat ).

tff(func_def_7,type,
    one_one_real: real ).

tff(func_def_8,type,
    plus_plus_int: ( int * int ) > int ).

tff(func_def_9,type,
    plus_plus_nat: ( nat * nat ) > nat ).

tff(func_def_10,type,
    plus_plus_real: ( real * real ) > real ).

tff(func_def_11,type,
    times_times_int: ( int * int ) > int ).

tff(func_def_12,type,
    times_times_nat: ( nat * nat ) > nat ).

tff(func_def_13,type,
    times_times_real: ( real * real ) > real ).

tff(func_def_14,type,
    zero_zero_int: int ).

tff(func_def_15,type,
    zero_zero_nat: nat ).

tff(func_def_16,type,
    zero_zero_real: real ).

tff(func_def_17,type,
    if_int: ( bool * int * int ) > int ).

tff(func_def_18,type,
    if_nat: ( bool * nat * nat ) > nat ).

tff(func_def_19,type,
    zcong: ( int * int ) > fun_int_bool ).

tff(func_def_20,type,
    zprime: fun_int_bool ).

tff(func_def_21,type,
    bit0: int > int ).

tff(func_def_22,type,
    bit1: int > int ).

tff(func_def_23,type,
    min: int ).

tff(func_def_24,type,
    pls: int ).

tff(func_def_25,type,
    nat_1: int > nat ).

tff(func_def_26,type,
    number_number_of_int: int > int ).

tff(func_def_27,type,
    number_number_of_nat: int > nat ).

tff(func_def_28,type,
    number267125858f_real: int > real ).

tff(func_def_29,type,
    succ: int > int ).

tff(func_def_30,type,
    semiri1621563631at_int: fun_nat_int ).

tff(func_def_31,type,
    semiri984289939at_nat: fun_nat_nat ).

tff(func_def_32,type,
    semiri132038758t_real: fun_nat_real ).

tff(func_def_33,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_34,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_35,type,
    ord_less_real: fun_re413263731l_bool ).

tff(func_def_36,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_37,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_38,type,
    ord_less_eq_real: fun_re413263731l_bool ).

tff(func_def_39,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_40,type,
    power_power_nat: nat > fun_nat_nat ).

tff(func_def_41,type,
    power_power_real: real > fun_nat_real ).

tff(func_def_42,type,
    legendre: ( int * int ) > int ).

tff(func_def_43,type,
    quadRes: int > fun_int_bool ).

tff(func_def_44,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_45,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_46,type,
    twoSqu820444569sum2sq: fun_int_bool ).

tff(func_def_47,type,
    fFalse: bool ).

tff(func_def_48,type,
    fTrue: bool ).

tff(func_def_49,type,
    hAPP_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_50,type,
    hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_51,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_52,type,
    hAPP_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_53,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_54,type,
    hAPP_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_55,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_56,type,
    hAPP_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_57,type,
    hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).

tff(func_def_58,type,
    m: int ).

tff(func_def_59,type,
    m1: int ).

tff(func_def_60,type,
    n: nat ).

tff(func_def_61,type,
    s1: int ).

tff(func_def_62,type,
    s: int ).

tff(func_def_63,type,
    t: int ).

tff(func_def_64,type,
    tn: nat ).

tff(func_def_65,type,
    x: int ).

tff(func_def_66,type,
    y: int ).

tff(func_def_67,type,
    sK2: int > int ).

tff(func_def_68,type,
    sK3: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_69,type,
    sK4: int ).

tff(func_def_70,type,
    sK5: int ).

tff(func_def_71,type,
    sK6: int ).

tff(func_def_72,type,
    sK7: ( int * int ) > nat ).

tff(func_def_73,type,
    sK8: int ).

tff(func_def_74,type,
    sK9: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_75,type,
    sK10: int ).

tff(func_def_76,type,
    sK11: int ).

tff(func_def_77,type,
    sK12: ( int * fun_int_bool ) > int ).

tff(func_def_78,type,
    sK13: ( fun_int_bool * int ) > int ).

tff(func_def_79,type,
    sK14: ( nat * nat ) > nat ).

tff(func_def_80,type,
    sK15: int ).

tff(func_def_81,type,
    sK16: ( real * nat ) > real ).

tff(func_def_82,type,
    sK17: ( int * int ) > int ).

tff(func_def_83,type,
    sK18: ( fun_nat_int * nat * int ) > nat ).

tff(func_def_84,type,
    sK19: ( fun_nat_int * nat ) > nat ).

tff(func_def_85,type,
    sK20: ( fun_nat_bool * int ) > nat ).

tff(func_def_86,type,
    sK21: fun_nat_bool > nat ).

tff(func_def_87,type,
    sK22: fun_nat_bool > int ).

tff(func_def_88,type,
    sK23: fun_int_bool > int ).

tff(func_def_89,type,
    sK24: fun_int_bool > nat ).

tff(func_def_90,type,
    sK25: fun_nat_bool > int ).

tff(func_def_91,type,
    sK26: fun_nat_bool > nat ).

tff(func_def_92,type,
    sK27: int > nat ).

tff(func_def_93,type,
    sK28: int ).

tff(func_def_94,type,
    sK29: int ).

tff(func_def_95,type,
    sK30: ( nat * fun_nat_int ) > nat ).

tff(func_def_96,type,
    sK31: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_97,type,
    sK32: int ).

tff(func_def_98,type,
    sK33: fun_int_bool > int ).

tff(func_def_99,type,
    sK34: fun_int_bool > nat ).

tff(func_def_100,type,
    sK35: ( int * int ) > int ).

tff(func_def_101,type,
    sK36: ( real * nat ) > real ).

tff(func_def_102,type,
    sK37: ( fun_nat_bool * nat ) > nat ).

tff(func_def_103,type,
    sK38: ( fun_int_bool * int ) > int ).

tff(func_def_104,type,
    sK39: ( int * int * int ) > int ).

tff(func_def_105,type,
    sK40: ( nat * nat ) > nat ).

tff(func_def_106,type,
    sK41: int ).

tff(func_def_107,type,
    sK42: int ).

tff(pred_def_1,type,
    hBOOL: bool > $o ).

tff(pred_def_2,type,
    sP0: ( int * bool * bool ) > $o ).

tff(pred_def_3,type,
    sP1: ( int * bool * bool ) > $o ).

tff(f7300,plain,
    $false,
    inference(subsumption_resolution,[],[f7294,f4318]) ).

tff(f4318,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
    inference(cnf_transformation,[],[f1003]) ).

tff(f1003,axiom,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1002_rel__simps_I6_J) ).

tff(f7294,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
    inference(superposition,[],[f6087,f7291]) ).

tff(f7291,plain,
    hAPP_nat_int(semiri1621563631at_int,n) = min,
    inference(forward_demodulation,[],[f7289,f6953]) ).

tff(f6953,plain,
    ! [X6: int,X7: int] : ( minus_minus_int(X6,minus_minus_int(X6,X7)) = X7 ),
    inference(superposition,[],[f6749,f5008]) ).

tff(f5008,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(minus_minus_int(X1,X0),X0) = X1 ),
    inference(cnf_transformation,[],[f3600]) ).

tff(f3600,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(minus_minus_int(X1,X0),X0) = X1 ),
    inference(rectify,[],[f2240]) ).

tff(f2240,plain,
    ! [X1: int,X0: int] : ( plus_plus_int(minus_minus_int(X0,X1),X1) = X0 ),
    inference(rectify,[],[f607]) ).

tff(f607,axiom,
    ! [X299: int,X300: int] : ( plus_plus_int(minus_minus_int(X299,X300),X300) = X299 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_606_diff__add__cancel) ).

tff(f6749,plain,
    ! [X2: int,X3: int] : ( minus_minus_int(plus_plus_int(X3,X2),X3) = X2 ),
    inference(superposition,[],[f4706,f4392]) ).

tff(f4392,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
    inference(cnf_transformation,[],[f3218]) ).

tff(f3218,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
    inference(rectify,[],[f2015]) ).

tff(f2015,plain,
    ! [X1: int,X0: int] : ( plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
    inference(rectify,[],[f350]) ).

tff(f350,axiom,
    ! [X123: int,X124: int] : ( plus_plus_int(X123,X124) = plus_plus_int(X124,X123) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

tff(f4706,plain,
    ! [X0: int,X1: int] : ( minus_minus_int(plus_plus_int(X0,X1),X1) = X0 ),
    inference(cnf_transformation,[],[f3409]) ).

tff(f3409,plain,
    ! [X0: int,X1: int] : ( minus_minus_int(plus_plus_int(X0,X1),X1) = X0 ),
    inference(rectify,[],[f1404]) ).

tff(f1404,plain,
    ! [X1: int,X0: int] : ( minus_minus_int(plus_plus_int(X1,X0),X0) = X1 ),
    inference(rectify,[],[f605]) ).

tff(f605,axiom,
    ! [X298: int,X297: int] : ( minus_minus_int(plus_plus_int(X297,X298),X298) = X297 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_604_add__diff__cancel) ).

tff(f7289,plain,
    hAPP_nat_int(semiri1621563631at_int,n) = minus_minus_int(pls,minus_minus_int(pls,min)),
    inference(superposition,[],[f6749,f7284]) ).

tff(f7284,plain,
    pls = plus_plus_int(minus_minus_int(pls,min),hAPP_nat_int(semiri1621563631at_int,n)),
    inference(trivial_inequality_removal,[],[f7282]) ).

tff(f7282,plain,
    ( ( pls = plus_plus_int(minus_minus_int(pls,min),hAPP_nat_int(semiri1621563631at_int,n)) )
    | ( pls != pls ) ),
    inference(superposition,[],[f5880,f6859]) ).

tff(f6859,plain,
    pls = hAPP_nat_int(power_power_int(plus_plus_int(minus_minus_int(pls,min),hAPP_nat_int(semiri1621563631at_int,n))),nat_1(plus_plus_int(minus_minus_int(pls,min),minus_minus_int(pls,min)))),
    inference(backward_demodulation,[],[f6629,f6833]) ).

tff(f6833,plain,
    one_one_int = minus_minus_int(pls,min),
    inference(superposition,[],[f6268,f4140]) ).

tff(f4140,plain,
    ! [X0: int] : ( plus_plus_int(pls,X0) = X0 ),
    inference(cnf_transformation,[],[f1910]) ).

tff(f1910,plain,
    ! [X0: int] : ( plus_plus_int(pls,X0) = X0 ),
    inference(rectify,[],[f102]) ).

tff(f102,axiom,
    ! [X18: int] : ( plus_plus_int(pls,X18) = X18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_add__Pls) ).

tff(f6268,plain,
    ! [X0: int] : ( minus_minus_int(X0,min) = plus_plus_int(X0,one_one_int) ),
    inference(definition_unfolding,[],[f5425,f5231]) ).

tff(f5231,plain,
    ! [X0: int] : ( minus_minus_int(X0,min) = succ(X0) ),
    inference(cnf_transformation,[],[f1728]) ).

tff(f1728,plain,
    ! [X0: int] : ( minus_minus_int(X0,min) = succ(X0) ),
    inference(rectify,[],[f1022]) ).

tff(f1022,axiom,
    ! [X18: int] : ( succ(X18) = minus_minus_int(X18,min) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1021_diff__bin__simps_I2_J) ).

tff(f5425,plain,
    ! [X0: int] : ( plus_plus_int(X0,one_one_int) = succ(X0) ),
    inference(cnf_transformation,[],[f1772]) ).

tff(f1772,plain,
    ! [X0: int] : ( plus_plus_int(X0,one_one_int) = succ(X0) ),
    inference(rectify,[],[f815]) ).

tff(f815,axiom,
    ! [X18: int] : ( succ(X18) = plus_plus_int(X18,one_one_int) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_814_succ__def) ).

tff(f6629,plain,
    pls = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(plus_plus_int(minus_minus_int(pls,min),minus_minus_int(pls,min)))),
    inference(backward_demodulation,[],[f6628,f4140]) ).

tff(f6628,plain,
    pls = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(plus_plus_int(minus_minus_int(plus_plus_int(pls,pls),min),minus_minus_int(plus_plus_int(pls,pls),min)))),
    inference(backward_demodulation,[],[f5895,f5547]) ).

tff(f5547,plain,
    ! [X0: int] : ( number_number_of_int(X0) = X0 ),
    inference(cnf_transformation,[],[f1677]) ).

tff(f1677,plain,
    ! [X0: int] : ( number_number_of_int(X0) = X0 ),
    inference(rectify,[],[f178]) ).

tff(f178,axiom,
    ! [X18: int] : ( number_number_of_int(X18) = X18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_number__of__is__id) ).

tff(f5895,plain,
    pls = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(number_number_of_int(plus_plus_int(minus_minus_int(plus_plus_int(pls,pls),min),minus_minus_int(plus_plus_int(pls,pls),min))))),
    inference(definition_unfolding,[],[f4359,f4549,f4283,f4197,f5779]) ).

tff(f5779,plain,
    ! [X0: int] : ( minus_minus_int(plus_plus_int(X0,X0),min) = bit1(X0) ),
    inference(definition_unfolding,[],[f4408,f5231,f4197]) ).

tff(f4408,plain,
    ! [X0: int] : ( succ(bit0(X0)) = bit1(X0) ),
    inference(cnf_transformation,[],[f1363]) ).

tff(f1363,plain,
    ! [X0: int] : ( succ(bit0(X0)) = bit1(X0) ),
    inference(rectify,[],[f810]) ).

tff(f810,axiom,
    ! [X18: int] : ( bit1(X18) = succ(bit0(X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_809_succ__Bit0) ).

tff(f4197,plain,
    ! [X0: int] : ( plus_plus_int(X0,X0) = bit0(X0) ),
    inference(cnf_transformation,[],[f1657]) ).

tff(f1657,plain,
    ! [X0: int] : ( plus_plus_int(X0,X0) = bit0(X0) ),
    inference(rectify,[],[f104]) ).

tff(f104,axiom,
    ! [X18: int] : ( bit0(X18) = plus_plus_int(X18,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Bit0__def) ).

tff(f4283,plain,
    ! [X0: int] : ( nat_1(number_number_of_int(X0)) = number_number_of_nat(X0) ),
    inference(cnf_transformation,[],[f1507]) ).

tff(f1507,plain,
    ! [X0: int] : ( nat_1(number_number_of_int(X0)) = number_number_of_nat(X0) ),
    inference(rectify,[],[f767]) ).

tff(f767,axiom,
    ! [X11: int] : ( nat_1(number_number_of_int(X11)) = number_number_of_nat(X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_766_nat__number__of) ).

tff(f4549,plain,
    zero_zero_int = pls,
    inference(cnf_transformation,[],[f99]) ).

tff(f99,axiom,
    zero_zero_int = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pls__def) ).

tff(f4359,plain,
    zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
    inference(cnf_transformation,[],[f1407]) ).

tff(f1407,plain,
    zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
    inference(flattening,[],[f1206]) ).

tff(f1206,negated_conjecture,
    ( ~ zero_zero_int )
 != hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
    inference(negated_conjecture,[],[f1205]) ).

tff(f1205,conjecture,
    zero_zero_int != hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f5880,plain,
    ! [X0: nat,X1: int] :
      ( ( pls != hAPP_nat_int(power_power_int(X1),X0) )
      | ( pls = X1 ) ),
    inference(definition_unfolding,[],[f4321,f4549,f4549]) ).

tff(f4321,plain,
    ! [X0: nat,X1: int] :
      ( ( zero_zero_int = X1 )
      | ( zero_zero_int != hAPP_nat_int(power_power_int(X1),X0) ) ),
    inference(cnf_transformation,[],[f3180]) ).

tff(f3180,plain,
    ! [X0: nat,X1: int] :
      ( ( ( ( zero_zero_int = X1 )
          & ( zero_zero_nat != X0 ) )
        | ( zero_zero_int != hAPP_nat_int(power_power_int(X1),X0) ) )
      & ( ( zero_zero_int = hAPP_nat_int(power_power_int(X1),X0) )
        | ( zero_zero_int != X1 )
        | ( zero_zero_nat = X0 ) ) ),
    inference(rectify,[],[f3179]) ).

tff(f3179,plain,
    ! [X1: nat,X0: int] :
      ( ( ( ( zero_zero_int = X0 )
          & ( zero_zero_nat != X1 ) )
        | ( zero_zero_int != hAPP_nat_int(power_power_int(X0),X1) ) )
      & ( ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) )
        | ( zero_zero_int != X0 )
        | ( zero_zero_nat = X1 ) ) ),
    inference(flattening,[],[f3178]) ).

tff(f3178,plain,
    ! [X1: nat,X0: int] :
      ( ( ( ( zero_zero_int = X0 )
          & ( zero_zero_nat != X1 ) )
        | ( zero_zero_int != hAPP_nat_int(power_power_int(X0),X1) ) )
      & ( ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) )
        | ( zero_zero_int != X0 )
        | ( zero_zero_nat = X1 ) ) ),
    inference(nnf_transformation,[],[f1410]) ).

tff(f1410,plain,
    ! [X1: nat,X0: int] :
      ( ( ( zero_zero_int = X0 )
        & ( zero_zero_nat != X1 ) )
    <=> ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) ) ),
    inference(rectify,[],[f285]) ).

tff(f285,axiom,
    ! [X2: int,X15: nat] :
      ( ( zero_zero_int = hAPP_nat_int(power_power_int(X2),X15) )
    <=> ( ( zero_zero_nat != X15 )
        & ( zero_zero_int = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_power__eq__0__iff) ).

tff(f6087,plain,
    ! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),pls)),
    inference(definition_unfolding,[],[f4949,f4549]) ).

tff(f4949,plain,
    ! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),zero_zero_int)),
    inference(cnf_transformation,[],[f1725]) ).

tff(f1725,plain,
    ! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),zero_zero_int)),
    inference(rectify,[],[f84]) ).

tff(f84,axiom,
    ! [X18: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X18)),zero_zero_int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_int__less__0__conv) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM925_3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 09:37:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.08/0.57  % (16513)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.08/0.58  % (16526)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.08/0.58  % (16515)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.08/0.58  % (16505)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.08/0.58  % (16518)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.08/0.58  % (16527)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.08/0.58  % (16508)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.08/0.59  % (16510)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.08/0.59  % (16521)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.34/0.59  % (16528)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.60  % (16507)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.60  % (16504)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.34/0.60  % (16529)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.34/0.60  % (16506)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.34/0.60  % (16509)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.34/0.60  % (16519)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.34/0.61  % (16530)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.34/0.61  % (16532)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.34/0.61  % (16533)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.34/0.61  % (16520)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.61  % (16531)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.34/0.61  % (16522)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.61  % (16524)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.34/0.61  % (16525)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.34/0.62  % (16523)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.62  % (16511)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.62  % (16514)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.62  % (16516)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.34/0.62  % (16517)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.62  % (16511)Instruction limit reached!
% 1.34/0.62  % (16511)------------------------------
% 1.34/0.62  % (16511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.62  % (16511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.62  % (16511)Termination reason: Unknown
% 1.34/0.62  % (16511)Termination phase: Preprocessing 1
% 1.34/0.62  
% 1.34/0.62  % (16511)Memory used [KB]: 2942
% 1.34/0.62  % (16511)Time elapsed: 0.005 s
% 1.34/0.62  % (16511)Instructions burned: 7 (million)
% 1.34/0.62  % (16511)------------------------------
% 1.34/0.62  % (16511)------------------------------
% 1.34/0.63  % (16512)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.63  % (16512)Instruction limit reached!
% 1.34/0.63  % (16512)------------------------------
% 1.34/0.63  % (16512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.63  % (16512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.63  % (16512)Termination reason: Unknown
% 1.34/0.63  % (16512)Termination phase: shuffling
% 1.34/0.63  
% 1.34/0.63  % (16512)Memory used [KB]: 2430
% 1.34/0.63  % (16512)Time elapsed: 0.003 s
% 1.34/0.63  % (16512)Instructions burned: 2 (million)
% 1.34/0.63  % (16512)------------------------------
% 1.34/0.63  % (16512)------------------------------
% 1.34/0.63  % (16513)Instruction limit reached!
% 1.34/0.63  % (16513)------------------------------
% 1.34/0.63  % (16513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.63  % (16513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.63  % (16513)Termination reason: Unknown
% 1.34/0.63  % (16513)Termination phase: Property scanning
% 1.34/0.63  
% 1.34/0.63  % (16513)Memory used [KB]: 5245
% 1.34/0.63  % (16513)Time elapsed: 0.026 s
% 1.34/0.63  % (16513)Instructions burned: 53 (million)
% 1.34/0.63  % (16513)------------------------------
% 1.34/0.63  % (16513)------------------------------
% 1.73/0.65  % (16505)Instruction limit reached!
% 1.73/0.65  % (16505)------------------------------
% 1.73/0.65  % (16505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65  % (16505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65  % (16505)Termination reason: Unknown
% 1.83/0.65  % (16505)Termination phase: Property scanning
% 1.83/0.65  
% 1.83/0.65  % (16505)Memory used [KB]: 5245
% 1.83/0.66  % (16506)Instruction limit reached!
% 1.83/0.66  % (16506)------------------------------
% 1.83/0.66  % (16506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66  % (16506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66  % (16506)Termination reason: Unknown
% 1.83/0.66  % (16506)Termination phase: Preprocessing 3
% 1.83/0.66  
% 1.83/0.66  % (16506)Memory used [KB]: 4477
% 1.83/0.66  % (16506)Time elapsed: 0.023 s
% 1.83/0.66  % (16506)Instructions burned: 37 (million)
% 1.83/0.66  % (16506)------------------------------
% 1.83/0.66  % (16506)------------------------------
% 1.83/0.66  % (16505)Time elapsed: 0.040 s
% 1.83/0.66  % (16505)Instructions burned: 51 (million)
% 1.83/0.66  % (16505)------------------------------
% 1.83/0.66  % (16505)------------------------------
% 1.83/0.66  % (16509)Instruction limit reached!
% 1.83/0.66  % (16509)------------------------------
% 1.83/0.66  % (16509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66  % (16509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66  % (16509)Termination reason: Unknown
% 1.83/0.66  % (16509)Termination phase: Property scanning
% 1.83/0.66  
% 1.83/0.66  % (16509)Memory used [KB]: 5117
% 1.83/0.66  % (16509)Time elapsed: 0.025 s
% 1.83/0.66  % (16509)Instructions burned: 48 (million)
% 1.83/0.66  % (16509)------------------------------
% 1.83/0.66  % (16509)------------------------------
% 1.83/0.66  % (16521)Instruction limit reached!
% 1.83/0.66  % (16521)------------------------------
% 1.83/0.66  % (16521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66  % (16521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66  % (16521)Termination reason: Unknown
% 1.83/0.66  % (16521)Termination phase: Property scanning
% 1.83/0.66  
% 1.83/0.66  % (16521)Memory used [KB]: 5245
% 1.83/0.66  % (16521)Time elapsed: 0.028 s
% 1.83/0.66  % (16521)Instructions burned: 61 (million)
% 1.83/0.66  % (16521)------------------------------
% 1.83/0.66  % (16521)------------------------------
% 1.83/0.68  % (16508)Instruction limit reached!
% 1.83/0.68  % (16508)------------------------------
% 1.83/0.68  % (16508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.68  % (16508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.68  % (16508)Termination reason: Unknown
% 1.83/0.68  % (16508)Termination phase: Property scanning
% 1.83/0.68  
% 1.83/0.68  % (16508)Memory used [KB]: 5373
% 1.83/0.68  % (16508)Time elapsed: 0.029 s
% 1.83/0.68  % (16508)Instructions burned: 52 (million)
% 1.83/0.68  % (16508)------------------------------
% 1.83/0.68  % (16508)------------------------------
% 1.83/0.69  % (16518)Instruction limit reached!
% 1.83/0.69  % (16518)------------------------------
% 1.83/0.69  % (16518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69  % (16518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69  % (16518)Termination reason: Unknown
% 1.83/0.69  % (16518)Termination phase: Property scanning
% 1.83/0.69  
% 1.83/0.69  % (16518)Memory used [KB]: 5245
% 1.83/0.69  % (16518)Time elapsed: 0.043 s
% 1.83/0.69  % (16518)Instructions burned: 69 (million)
% 1.83/0.69  % (16518)------------------------------
% 1.83/0.69  % (16518)------------------------------
% 1.83/0.69  % (16510)Instruction limit reached!
% 1.83/0.69  % (16510)------------------------------
% 1.83/0.69  % (16510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69  % (16510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69  % (16510)Termination reason: Unknown
% 1.83/0.69  % (16510)Termination phase: Property scanning
% 1.83/0.69  
% 1.83/0.69  % (16510)Memory used [KB]: 5373
% 1.83/0.69  % (16510)Time elapsed: 0.035 s
% 1.83/0.69  % (16510)Instructions burned: 52 (million)
% 1.83/0.69  % (16510)------------------------------
% 1.83/0.69  % (16510)------------------------------
% 1.83/0.70  % (16514)Instruction limit reached!
% 1.83/0.70  % (16514)------------------------------
% 1.83/0.70  % (16514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70  % (16514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70  % (16514)Termination reason: Unknown
% 1.83/0.70  % (16514)Termination phase: Property scanning
% 1.83/0.70  
% 1.83/0.70  % (16514)Memory used [KB]: 5245
% 1.83/0.70  % (16514)Time elapsed: 0.027 s
% 1.83/0.70  % (16514)Instructions burned: 53 (million)
% 1.83/0.70  % (16514)------------------------------
% 1.83/0.70  % (16514)------------------------------
% 1.83/0.70  % (16507)Instruction limit reached!
% 1.83/0.70  % (16507)------------------------------
% 1.83/0.70  % (16507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70  % (16507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70  % (16507)Termination reason: Unknown
% 1.83/0.70  % (16507)Termination phase: Property scanning
% 1.83/0.70  
% 1.83/0.70  % (16507)Memory used [KB]: 4861
% 1.83/0.70  % (16507)Time elapsed: 0.025 s
% 1.83/0.70  % (16507)Instructions burned: 51 (million)
% 1.83/0.70  % (16507)------------------------------
% 1.83/0.70  % (16507)------------------------------
% 2.20/0.71  % (16530)Instruction limit reached!
% 2.20/0.71  % (16530)------------------------------
% 2.20/0.71  % (16530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.71  % (16530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.71  % (16530)Termination reason: Unknown
% 2.20/0.71  % (16530)Termination phase: Property scanning
% 2.20/0.71  
% 2.20/0.71  % (16530)Memory used [KB]: 5245
% 2.20/0.71  % (16530)Time elapsed: 0.033 s
% 2.20/0.71  % (16530)Instructions burned: 69 (million)
% 2.20/0.71  % (16530)------------------------------
% 2.20/0.71  % (16530)------------------------------
% 2.20/0.72  % (16519)Instruction limit reached!
% 2.20/0.72  % (16519)------------------------------
% 2.20/0.72  % (16519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.72  % (16519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.72  % (16519)Termination reason: Unknown
% 2.20/0.72  % (16519)Termination phase: Property scanning
% 2.20/0.72  
% 2.20/0.72  % (16519)Memory used [KB]: 5373
% 2.20/0.72  % (16519)Time elapsed: 0.046 s
% 2.20/0.72  % (16519)Instructions burned: 75 (million)
% 2.20/0.72  % (16519)------------------------------
% 2.20/0.72  % (16519)------------------------------
% 2.20/0.73  % (16522)Instruction limit reached!
% 2.20/0.73  % (16522)------------------------------
% 2.20/0.73  % (16522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.73  % (16522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.73  % (16522)Termination reason: Unknown
% 2.20/0.73  % (16522)Termination phase: Property scanning
% 2.20/0.73  
% 2.20/0.73  % (16522)Memory used [KB]: 5500
% 2.20/0.73  % (16522)Time elapsed: 0.042 s
% 2.20/0.73  % (16522)Instructions burned: 100 (million)
% 2.20/0.73  % (16522)------------------------------
% 2.20/0.73  % (16522)------------------------------
% 2.20/0.73  % (16515)Instruction limit reached!
% 2.20/0.73  % (16515)------------------------------
% 2.20/0.73  % (16515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.73  % (16515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.73  % (16515)Termination reason: Unknown
% 2.20/0.73  % (16515)Termination phase: Property scanning
% 2.20/0.73  
% 2.20/0.73  % (16515)Memory used [KB]: 5117
% 2.20/0.73  % (16515)Time elapsed: 0.044 s
% 2.20/0.73  % (16515)Instructions burned: 100 (million)
% 2.20/0.73  % (16515)------------------------------
% 2.20/0.73  % (16515)------------------------------
% 2.20/0.74  % (16520)Instruction limit reached!
% 2.20/0.74  % (16520)------------------------------
% 2.20/0.74  % (16520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.74  % (16539)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.42/0.75  % (16520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.75  % (16520)Termination reason: Unknown
% 2.42/0.75  % (16520)Termination phase: Property scanning
% 2.42/0.75  
% 2.42/0.75  % (16520)Memory used [KB]: 5500
% 2.42/0.75  % (16520)Time elapsed: 0.054 s
% 2.42/0.75  % (16520)Instructions burned: 99 (million)
% 2.42/0.75  % (16520)------------------------------
% 2.42/0.75  % (16520)------------------------------
% 2.42/0.76  % (16516)Instruction limit reached!
% 2.42/0.76  % (16516)------------------------------
% 2.42/0.76  % (16516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76  % (16516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (16516)Termination reason: Unknown
% 2.42/0.76  % (16516)Termination phase: Property scanning
% 2.42/0.76  
% 2.42/0.76  % (16516)Memory used [KB]: 5500
% 2.42/0.76  % (16516)Time elapsed: 0.044 s
% 2.42/0.76  % (16516)Instructions burned: 102 (million)
% 2.42/0.76  % (16516)------------------------------
% 2.42/0.76  % (16516)------------------------------
% 2.42/0.76  % (16523)Instruction limit reached!
% 2.42/0.76  % (16523)------------------------------
% 2.42/0.76  % (16523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76  % (16523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (16523)Termination reason: Unknown
% 2.42/0.76  % (16523)Termination phase: Property scanning
% 2.42/0.76  
% 2.42/0.76  % (16523)Memory used [KB]: 5628
% 2.42/0.76  % (16523)Time elapsed: 0.054 s
% 2.42/0.76  % (16523)Instructions burned: 100 (million)
% 2.42/0.76  % (16523)------------------------------
% 2.42/0.76  % (16523)------------------------------
% 2.42/0.76  % (16517)Instruction limit reached!
% 2.42/0.76  % (16517)------------------------------
% 2.42/0.76  % (16517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76  % (16517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (16517)Termination reason: Unknown
% 2.42/0.76  % (16517)Termination phase: Property scanning
% 2.42/0.76  
% 2.42/0.76  % (16517)Memory used [KB]: 5500
% 2.42/0.76  % (16517)Time elapsed: 0.044 s
% 2.42/0.76  % (16517)Instructions burned: 101 (million)
% 2.42/0.76  % (16517)------------------------------
% 2.42/0.76  % (16517)------------------------------
% 2.42/0.77  % (16541)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.42/0.78  % (16545)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.42/0.78  % (16540)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.42/0.79  % (16547)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.42/0.79  % (16546)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.42/0.80  % (16548)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.42/0.81  % (16549)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.42/0.81  % (16525)Instruction limit reached!
% 2.42/0.81  % (16525)------------------------------
% 2.42/0.81  % (16525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.81  % (16550)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.42/0.81  % (16525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.81  % (16525)Termination reason: Unknown
% 2.42/0.81  % (16525)Termination phase: Saturation
% 2.42/0.81  
% 2.42/0.81  % (16525)Memory used [KB]: 10362
% 2.42/0.81  % (16525)Time elapsed: 0.063 s
% 2.42/0.81  % (16525)Instructions burned: 139 (million)
% 2.42/0.81  % (16525)------------------------------
% 2.42/0.81  % (16525)------------------------------
% 2.42/0.83  % (16553)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.42/0.83  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.42/0.83  % (16551)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.73/0.84  % (16554)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.73/0.84  % (16552)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.73/0.85  % (16574)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.73/0.85  % (16526)First to succeed.
% 2.73/0.85  % (16526)Refutation found. Thanks to Tanya!
% 2.73/0.85  % SZS status Theorem for theBenchmark
% 2.73/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 2.73/0.85  % (16526)------------------------------
% 2.73/0.85  % (16526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.85  % (16526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.85  % (16526)Termination reason: Refutation
% 2.73/0.85  
% 2.73/0.85  % (16526)Memory used [KB]: 6012
% 2.73/0.85  % (16526)Time elapsed: 0.333 s
% 2.73/0.85  % (16526)Instructions burned: 177 (million)
% 2.73/0.85  % (16526)------------------------------
% 2.73/0.85  % (16526)------------------------------
% 2.73/0.85  % (16497)Success in time 0.509 s
%------------------------------------------------------------------------------