TSTP Solution File: ITP097^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP097^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:51:36 EDT 2024

% Result   : Theorem 1.34s 0.62s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  178 (  63 unt;  96 typ;   0 def)
%            Number of atoms       :  808 (  96 equ;   0 cnn)
%            Maximal formula atoms :    3 (   9 avg)
%            Number of connectives :   42 (  22   ~;  14   |;   0   &;   0   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :  151 ( 150   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   91 (  88 usr;  11 con; 0-6 aty)
%            Number of variables   :   75 (   0   ^  59   !;   2   ?;  75   :)
%                                         (  14  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

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

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

thf(func_def_5,type,
    archim1371465213g_real: real > int ).

thf(func_def_6,type,
    one_one_int: int ).

thf(func_def_7,type,
    one_one_nat: nat ).

thf(func_def_8,type,
    one_one_real: real ).

thf(func_def_9,type,
    zero_zero_int: int ).

thf(func_def_10,type,
    zero_zero_nat: nat ).

thf(func_def_11,type,
    zero_zero_real: real ).

thf(func_def_12,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_13,type,
    nat2: int > nat ).

thf(func_def_14,type,
    ring_1_of_int_int: int > int ).

thf(func_def_15,type,
    ring_1_of_int_real: int > real ).

thf(func_def_16,type,
    suc: nat > nat ).

thf(func_def_17,type,
    semiri2019852685at_int: nat > int ).

thf(func_def_18,type,
    semiri1382578993at_nat: nat > nat ).

thf(func_def_19,type,
    semiri2110766477t_real: nat > real ).

thf(func_def_20,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_21,type,
    neg_numeral_dbl_real: real > real ).

thf(func_def_22,type,
    bit0: num > num ).

thf(func_def_23,type,
    one: num ).

thf(func_def_24,type,
    numeral_numeral_int: num > int ).

thf(func_def_25,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_26,type,
    numeral_numeral_real: num > real ).

thf(func_def_27,type,
    pow: num > num > num ).

thf(func_def_28,type,
    ord_less_int: int > int > $o ).

thf(func_def_29,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_30,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_31,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_32,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_33,type,
    power_power_int: int > nat > int ).

thf(func_def_34,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_35,type,
    power_power_real: real > nat > real ).

thf(func_def_36,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_37,type,
    log: real > real > real ).

thf(func_def_38,type,
    powr_real: real > real > real ).

thf(func_def_39,type,
    member_real: real > set_real > $o ).

thf(func_def_40,type,
    d: int ).

thf(func_def_41,type,
    n: nat ).

thf(func_def_45,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_46,type,
    vIMP: $o > $o > $o ).

thf(func_def_47,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_48,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_49,type,
    cCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).

thf(func_def_50,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_51,type,
    vAND: $o > $o > $o ).

thf(func_def_52,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

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

thf(func_def_54,type,
    vOR: $o > $o > $o ).

thf(func_def_55,type,
    sP0: set_real > $o ).

thf(func_def_56,type,
    sK1: nat > nat ).

thf(func_def_57,type,
    sK2: nat > nat ).

thf(func_def_58,type,
    sK3: ( nat > $o ) > nat ).

thf(func_def_59,type,
    sK4: set_real > real ).

thf(func_def_60,type,
    sK5: real > set_real > real ).

thf(func_def_61,type,
    sK6: real > set_real > real ).

thf(func_def_62,type,
    sK7: int > nat ).

thf(func_def_63,type,
    sK8: int > nat ).

thf(func_def_64,type,
    sK9: real > int ).

thf(func_def_65,type,
    sK10: real > nat ).

thf(func_def_66,type,
    sK11: ( nat > $o ) > nat ).

thf(func_def_67,type,
    sK12: ( nat > $o ) > nat ).

thf(func_def_68,type,
    sK13: ( nat > $o ) > nat ).

thf(func_def_69,type,
    sK14: ( nat > $o ) > nat ).

thf(func_def_70,type,
    sK15: nat > nat ).

thf(func_def_71,type,
    sK16: ( nat > nat > $o ) > nat ).

thf(func_def_72,type,
    sK17: ( nat > nat > $o ) > nat ).

thf(func_def_73,type,
    sK18: ( nat > nat > $o ) > nat ).

thf(func_def_74,type,
    sK19: ( nat > nat > $o ) > nat ).

thf(func_def_75,type,
    sK20: ( nat > num ) > nat ).

thf(func_def_76,type,
    sK21: ( nat > num ) > nat ).

thf(func_def_77,type,
    sK22: ( nat > real ) > nat ).

thf(func_def_78,type,
    sK23: ( nat > real ) > nat ).

thf(func_def_79,type,
    sK24: ( nat > int ) > nat ).

thf(func_def_80,type,
    sK25: ( nat > int ) > nat ).

thf(func_def_81,type,
    sK26: ( nat > nat ) > nat ).

thf(func_def_82,type,
    sK27: ( nat > nat ) > nat ).

thf(func_def_83,type,
    sK28: ( nat > $o ) > nat ).

thf(func_def_84,type,
    sK29: nat > ( nat > $o ) > nat ).

thf(func_def_85,type,
    sK30: ( nat > nat > $o ) > nat ).

thf(func_def_86,type,
    sK31: ( nat > nat > $o ) > nat ).

thf(func_def_87,type,
    sK32: ( nat > nat > $o ) > nat ).

thf(func_def_88,type,
    sK33: ( nat > nat > $o ) > nat ).

thf(func_def_89,type,
    sK34: ( nat > nat > $o ) > nat ).

thf(func_def_90,type,
    sK35: ( nat > $o ) > nat > nat ).

thf(func_def_92,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_93,type,
    sK37: real > int ).

thf(f6048,plain,
    $false,
    inference(trivial_inequality_removal,[],[f6047]) ).

thf(f6047,plain,
    $true = $false,
    inference(forward_demodulation,[],[f6046,f5305]) ).

thf(f5305,plain,
    $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(nat,nat,sK1,n))),
    inference(backward_demodulation,[],[f2187,f5289]) ).

thf(f5289,plain,
    vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))) = vAPP(nat,nat,sK1,n),
    inference(superposition,[],[f2608,f2085]) ).

thf(f2085,plain,
    n = vAPP(nat,nat,suc,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d))))),
    inference(forward_demodulation,[],[f1066,f1060]) ).

thf(f1060,plain,
    vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one)) = vAPP(real,real,neg_numeral_dbl_real,one_one_real),
    inference(cnf_transformation,[],[f217]) ).

thf(f217,axiom,
    vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one)) = vAPP(real,real,neg_numeral_dbl_real,one_one_real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_dbl__simps_I3_J) ).

thf(f1066,plain,
    n = vAPP(nat,nat,suc,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))),
    inference(cnf_transformation,[],[f55]) ).

thf(f55,axiom,
    n = vAPP(nat,nat,suc,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_n__def) ).

thf(f2608,plain,
    ! [X0: nat] : ( vAPP(nat,nat,sK1,vAPP(nat,nat,suc,X0)) = X0 ),
    inference(subsumption_resolution,[],[f2607,f1081]) ).

thf(f1081,plain,
    ! [X0: nat] : ( vAPP(nat,nat,suc,X0) != zero_zero_nat ),
    inference(cnf_transformation,[],[f747]) ).

thf(f747,plain,
    ! [X0: nat] : ( vAPP(nat,nat,suc,X0) != zero_zero_nat ),
    inference(rectify,[],[f329]) ).

thf(f329,axiom,
    ! [X11: nat] : ( vAPP(nat,nat,suc,X11) != zero_zero_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_Suc__neq__Zero) ).

thf(f2607,plain,
    ! [X0: nat] :
      ( ( vAPP(nat,nat,sK1,vAPP(nat,nat,suc,X0)) = X0 )
      | ( vAPP(nat,nat,suc,X0) = zero_zero_nat ) ),
    inference(equality_resolution,[],[f2244]) ).

thf(f2244,plain,
    ! [X0: nat,X1: nat] :
      ( ( vAPP(nat,nat,suc,X1) != X0 )
      | ( vAPP(nat,nat,sK1,X0) = X1 )
      | ( zero_zero_nat = X0 ) ),
    inference(superposition,[],[f1665,f1189]) ).

thf(f1189,plain,
    ! [X0: nat] :
      ( ( vAPP(nat,nat,suc,vAPP(nat,nat,sK1,X0)) = X0 )
      | ( zero_zero_nat = X0 ) ),
    inference(cnf_transformation,[],[f971]) ).

thf(f971,plain,
    ! [X0: nat] :
      ( ( vAPP(nat,nat,suc,vAPP(nat,nat,sK1,X0)) = X0 )
      | ( zero_zero_nat = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f874,f970]) ).

thf(f970,plain,
    ! [X0: nat] :
      ( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
     => ( vAPP(nat,nat,suc,vAPP(nat,nat,sK1,X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

thf(f874,plain,
    ! [X0: nat] :
      ( ? [X1: nat] : ( vAPP(nat,nat,suc,X1) = X0 )
      | ( zero_zero_nat = X0 ) ),
    inference(ennf_transformation,[],[f802]) ).

thf(f802,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat != X0 )
     => ~ ! [X1: nat] : ( vAPP(nat,nat,suc,X1) != X0 ) ),
    inference(rectify,[],[f332]) ).

thf(f332,axiom,
    ! [X3: nat] :
      ( ( zero_zero_nat != X3 )
     => ~ ! [X43: nat] : ( vAPP(nat,nat,suc,X43) != X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_old_Onat_Oexhaust) ).

thf(f1665,plain,
    ! [X0: nat,X1: nat] :
      ( ( vAPP(nat,nat,suc,X1) != vAPP(nat,nat,suc,X0) )
      | ( X0 = X1 ) ),
    inference(equality_proxy_clausification,[],[f1664]) ).

thf(f1664,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),vAPP(nat,nat,suc,X1)),vAPP(nat,nat,suc,X0)) ) ),
    inference(equality_proxy_clausification,[],[f1660]) ).

thf(f1660,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),vAPP(nat,nat,suc,X1)),vAPP(nat,nat,suc,X0)) ) ),
    inference(binary_proxy_clausification,[],[f1275]) ).

thf(f1275,plain,
    ! [X0: nat,X1: nat] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),vAPP(nat,nat,suc,X1)),vAPP(nat,nat,suc,X0)) ),
    inference(cnf_transformation,[],[f550]) ).

thf(f550,plain,
    ! [X0: nat,X1: nat] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),vAPP(nat,nat,suc,X1)),vAPP(nat,nat,suc,X0)) ),
    inference(fool_elimination,[],[f549]) ).

thf(f549,plain,
    ! [X0: nat,X1: nat] :
      ( ( vAPP(nat,nat,suc,X1) = vAPP(nat,nat,suc,X0) )
      = ( X0 = X1 ) ),
    inference(rectify,[],[f115]) ).

thf(f115,axiom,
    ! [X23: nat,X24: nat] :
      ( ( vAPP(nat,nat,suc,X23) = vAPP(nat,nat,suc,X24) )
      = ( X23 = X24 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_old_Onat_Oinject) ).

thf(f2187,plain,
    $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(trivial_inequality_removal,[],[f2186]) ).

thf(f2186,plain,
    ( ( $true != $true )
    | ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))) ) ),
    inference(superposition,[],[f2081,f357]) ).

thf(f357,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f2081,plain,
    $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(backward_demodulation,[],[f2080,f1061]) ).

thf(f1061,plain,
    vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one)) = vAPP(int,int,neg_numeral_dbl_int,one_one_int),
    inference(cnf_transformation,[],[f216]) ).

thf(f216,axiom,
    vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one)) = vAPP(int,int,neg_numeral_dbl_int,one_one_int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_dbl__simps_I3_J) ).

thf(f2080,plain,
    $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(backward_demodulation,[],[f1035,f1060]) ).

thf(f1035,plain,
    vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))) != $true,
    inference(cnf_transformation,[],[f739]) ).

thf(f739,plain,
    vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))) != $true,
    inference(flattening,[],[f359]) ).

thf(f359,plain,
    vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))) != $true,
    inference(fool_elimination,[],[f358]) ).

thf(f358,plain,
    ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(rectify,[],[f355]) ).

thf(f355,negated_conjecture,
    ~ vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(negated_conjecture,[],[f354]) ).

thf(f354,conjecture,
    vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f6046,plain,
    $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,d),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(nat,nat,sK1,n))),
    inference(forward_demodulation,[],[f6045,f1087]) ).

thf(f1087,plain,
    ! [X0: int] : ( vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,X0)) = X0 ),
    inference(cnf_transformation,[],[f753]) ).

thf(f753,plain,
    ! [X0: int] : ( vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,X0)) = X0 ),
    inference(rectify,[],[f26]) ).

thf(f26,axiom,
    ! [X7: int] : ( vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,X7)) = X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_ceiling__of__int) ).

thf(f6045,plain,
    $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,d))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(nat,nat,sK1,n))),
    inference(forward_demodulation,[],[f6044,f5749]) ).

thf(f5749,plain,
    ! [X0: nat] : ( vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),X0) = vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),X0)) ),
    inference(forward_demodulation,[],[f5741,f1061]) ).

thf(f5741,plain,
    ! [X0: nat] : ( vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),X0)) = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),X0) ),
    inference(superposition,[],[f1248,f1060]) ).

thf(f1248,plain,
    ! [X0: num,X1: nat] : ( vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,X0)),X1) = vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(num,real,numeral_numeral_real,X0)),X1)) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,axiom,
    ! [X0: num,X1: nat] : ( vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,X0)),X1) = vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(num,real,numeral_numeral_real,X0)),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_ceiling__numeral__power) ).

thf(f6044,plain,
    $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,d))),vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,nat,sK1,n)))),
    inference(trivial_inequality_removal,[],[f6041]) ).

thf(f6041,plain,
    ( ( $true != $true )
    | ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,vAPP(int,real,ring_1_of_int_real,d))),vAPP(real,int,archim1371465213g_real,vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,nat,sK1,n)))) ) ),
    inference(superposition,[],[f1314,f5309]) ).

thf(f5309,plain,
    $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(int,real,ring_1_of_int_real,d)),vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,nat,sK1,n))),
    inference(backward_demodulation,[],[f4775,f5289]) ).

thf(f4775,plain,
    $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(int,real,ring_1_of_int_real,d)),vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(backward_demodulation,[],[f2151,f4774]) ).

thf(f4774,plain,
    vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))) = vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d))))),
    inference(backward_demodulation,[],[f2088,f4766]) ).

thf(f4766,plain,
    ! [X0: nat] : ( vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),X0) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),X0)) ),
    inference(superposition,[],[f1237,f2368]) ).

thf(f2368,plain,
    vAPP(real,real,neg_numeral_dbl_real,one_one_real) = vAPP(int,real,ring_1_of_int_real,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),
    inference(forward_demodulation,[],[f2361,f1060]) ).

thf(f2361,plain,
    vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one)) = vAPP(int,real,ring_1_of_int_real,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),
    inference(superposition,[],[f1108,f1061]) ).

thf(f1108,plain,
    ! [X0: num] : ( vAPP(num,real,numeral_numeral_real,X0) = vAPP(int,real,ring_1_of_int_real,vAPP(num,int,numeral_numeral_int,X0)) ),
    inference(cnf_transformation,[],[f773]) ).

thf(f773,plain,
    ! [X0: num] : ( vAPP(num,real,numeral_numeral_real,X0) = vAPP(int,real,ring_1_of_int_real,vAPP(num,int,numeral_numeral_int,X0)) ),
    inference(rectify,[],[f31]) ).

thf(f31,axiom,
    ! [X8: num] : ( vAPP(int,real,ring_1_of_int_real,vAPP(num,int,numeral_numeral_int,X8)) = vAPP(num,real,numeral_numeral_real,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_of__int__numeral) ).

thf(f1237,plain,
    ! [X0: int,X1: nat] : ( vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(int,real,ring_1_of_int_real,X0)),X1) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),X1)) ),
    inference(cnf_transformation,[],[f817]) ).

thf(f817,plain,
    ! [X0: int,X1: nat] : ( vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(int,real,ring_1_of_int_real,X0)),X1) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),X1)) ),
    inference(rectify,[],[f20]) ).

thf(f20,axiom,
    ! [X7: int,X1: nat] : ( vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X7),X1)) = vAPP(nat,real,vAPP(real,sTfun(nat,real),power_power_real,vAPP(int,real,ring_1_of_int_real,X7)),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_of__int__power) ).

thf(f2088,plain,
    vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,neg_numeral_dbl_int,one_one_int)),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(forward_demodulation,[],[f2087,f1061]) ).

thf(f2087,plain,
    vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(forward_demodulation,[],[f1068,f1060]) ).

thf(f1068,plain,
    vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))),
    inference(cnf_transformation,[],[f103]) ).

thf(f103,axiom,
    vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))) = vAPP(int,real,ring_1_of_int_real,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(num,int,numeral_numeral_int,vAPP(num,num,bit0,one))),vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062) ).

thf(f2151,plain,
    $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(int,real,ring_1_of_int_real,d)),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d))))))),
    inference(forward_demodulation,[],[f2150,f2086]) ).

thf(f2086,plain,
    vAPP(int,real,ring_1_of_int_real,d) = vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d))),
    inference(forward_demodulation,[],[f1067,f1060]) ).

thf(f1067,plain,
    vAPP(int,real,ring_1_of_int_real,d) = vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))),
    inference(cnf_transformation,[],[f54]) ).

thf(f54,axiom,
    vAPP(int,real,ring_1_of_int_real,d) = vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062) ).

thf(f2150,plain,
    $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d)))),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(real,real,neg_numeral_dbl_real,one_one_real)),vAPP(int,real,ring_1_of_int_real,d))))))),
    inference(forward_demodulation,[],[f1411,f1060]) ).

thf(f1411,plain,
    vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))))) = $true,
    inference(cnf_transformation,[],[f738]) ).

thf(f738,plain,
    vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))))) = $true,
    inference(fool_elimination,[],[f737]) ).

thf(f737,plain,
    vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))))),
    inference(rectify,[],[f104]) ).

thf(f104,axiom,
    vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d)))),vAPP(real,real,vAPP(real,sTfun(real,real),powr_real,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(nat,real,semiri2110766477t_real,vAPP(int,nat,nat2,vAPP(real,int,archim1371465213g_real,vAPP(real,real,vAPP(real,sTfun(real,real),log,vAPP(num,real,numeral_numeral_real,vAPP(num,num,bit0,one))),vAPP(int,real,ring_1_of_int_real,d))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062) ).

thf(f1314,plain,
    ! [X0: real,X1: real] :
      ( ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,X0),X1) )
      | ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,X0)),vAPP(real,int,archim1371465213g_real,X1)) ) ),
    inference(cnf_transformation,[],[f915]) ).

thf(f915,plain,
    ! [X0: real,X1: real] :
      ( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,X0)),vAPP(real,int,archim1371465213g_real,X1)) )
      | ( $true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,X0),X1) ) ),
    inference(ennf_transformation,[],[f608]) ).

thf(f608,plain,
    ! [X0: real,X1: real] :
      ( ( $true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,X0),X1) )
     => ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,X0)),vAPP(real,int,archim1371465213g_real,X1)) ) ),
    inference(fool_elimination,[],[f607]) ).

thf(f607,plain,
    ! [X0: real,X1: real] :
      ( vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,X0),X1)
     => vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,X0)),vAPP(real,int,archim1371465213g_real,X1)) ),
    inference(rectify,[],[f44]) ).

thf(f44,axiom,
    ! [X3: real,X0: real] :
      ( vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,X3),X0)
     => vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,vAPP(real,int,archim1371465213g_real,X3)),vAPP(real,int,archim1371465213g_real,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_ceiling__mono) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : ITP097^1 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.38  % Computer : n025.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sat May 18 15:56:08 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  % (15276)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42  % (15277)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.42  % (15280)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.43  % (15281)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.43  % (15283)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.43  % (15279)WARNING: value z3 for option sas not known
% 0.22/0.43  % (15279)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.43  % (15282)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.43  % (15278)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.44  % Exception at run slice level
% 0.22/0.44  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44  % (15283)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.45  % Exception at run slice level
% 0.22/0.45  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.46  % Exception at run slice level
% 0.22/0.46  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.46  % (15284)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.46  % (15285)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.47  % (15286)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.48  % (15284)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.48  % Exception at run slice level
% 0.22/0.48  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.48  % (15285)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.49  % (15287)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 1.34/0.62  % (15286)First to succeed.
% 1.34/0.62  % (15286)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15276"
% 1.34/0.62  % (15286)Refutation found. Thanks to Tanya!
% 1.34/0.62  % SZS status Theorem for theBenchmark
% 1.34/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.62  % (15286)------------------------------
% 1.34/0.62  % (15286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.34/0.62  % (15286)Termination reason: Refutation
% 1.34/0.62  
% 1.34/0.62  % (15286)Memory used [KB]: 2932
% 1.34/0.62  % (15286)Time elapsed: 0.153 s
% 1.34/0.62  % (15286)Instructions burned: 518 (million)
% 1.34/0.62  % (15276)Success in time 0.234 s
%------------------------------------------------------------------------------