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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : TIM013_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.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 : Fri Sep 25 03:54:33 PM UTC 2026

% Result   : Theorem 7.67s 2.75s
% Output   : CNFRefutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  283 ( 226 unt;   0 typ;   0 def)
%            Number of atoms       :  461 (  68 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  155 (  61   ~;  66   |;  14   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :   84 (  84 fml;   0 var)
%            Number arithmetic     : 1024 ( 124 atm; 127 fun; 619 num; 154 var)
%            Number of types       :    2 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  23 usr;  11 prp; 0-9 aty)
%            Number of functors    :   57 (   1 usr;  49 con; 0-3 aty)
%            Number of variables   :  174 (   0 sgn 174   !;   0   ?; 174   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    ymd: ( $int * ( $int * $int ) ) > date ).

tff(pred_def_1,type,
    is_leap_year: $int > $o ).

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

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

tff(pred_def_4,type,
    calc_date: ( date * ( $int * ( $int * $int ) ) ) > $o ).

tff(pred_def_5,type,
    calc_datetime: ( time * ( $int * ( $int * ( $int * ( $int * ( $int * ( $int * ( $int * $int ) ) ) ) ) ) ) ) > $o ).

tff(pred_def_6,type,
    normalize_time: ( $int * ( $int * ( $int * ( $int * ( $int * ( $int * $int ) ) ) ) ) ) > $o ).

tff(pred_def_7,type,
    weekday: ( day_name * date ) > $o ).

tff(pred_def_8,type,
    zeller_prep: ( $int * ( $int * ( $int * ( $int * ( $int * $int ) ) ) ) ) > $o ).

tff(pred_def_9,type,
    map_iso: ( day_name * $int ) > $o ).

tff(pred_def_10,type,
    map_name_to_int: ( $int * day_name ) > $o ).

tff(pred_def_11,type,
    nth_weekday_date: ( date * ( $int * ( $int * ( day_name * $int ) ) ) ) > $o ).

tff(pred_def_12,type,
    calc_nth_offset: ( $int * ( $int * $int ) ) > $o ).

tff(pred_def_13,type,
    valid_day: $int > $o ).

tff(f1,axiom,
    ! [X0: $int] :
      ( valid_day(X0)
    <=> ( $lesseq(X0,31)
        & $greater(X0,0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',trap_ax) ).

tff(f2,axiom,
    weekday(ymd(2024,1,1),monday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2024_jan1) ).

tff(f3,axiom,
    weekday(ymd(2024,2,1),thursday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2024_feb1) ).

tff(f4,axiom,
    weekday(ymd(2024,3,1),friday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2024_mar1) ).

tff(f5,axiom,
    weekday(ymd(2024,4,1),monday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2024_apr1) ).

tff(f6,axiom,
    weekday(ymd(2024,5,1),wednesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2024_may1) ).

tff(f7,axiom,
    weekday(ymd(2025,1,1),wednesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2025_jan1) ).

tff(f8,axiom,
    weekday(ymd(2025,2,1),saturday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2025_feb1) ).

tff(f9,axiom,
    weekday(ymd(2025,3,1),saturday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2025_mar1) ).

tff(f10,axiom,
    weekday(ymd(2025,11,1),saturday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_2025_nov1) ).

tff(f11,axiom,
    weekday(ymd(1776,1,1),monday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_1776_jan1) ).

tff(f12,axiom,
    weekday(ymd(1969,1,1),wednesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_1969_jan1) ).

tff(f13,axiom,
    weekday(ymd(1985,1,1),tuesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_1985_jan1) ).

tff(f14,axiom,
    weekday(ymd(1600,1,1),saturday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',anchor_1600_jan1) ).

tff(f15,axiom,
    calc_date(0,3,2024,ymd(2024,2,29)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_leap_mar0) ).

tff(f16,axiom,
    calc_date(0,3,2025,ymd(2025,2,28)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_norm_mar0) ).

tff(f17,axiom,
    calc_date(0,1,2025,ymd(2024,12,31)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_jan0_2025) ).

tff(f18,axiom,
    calc_date(0,1,2024,ymd(2023,12,31)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_jan0_2024) ).

tff(f19,axiom,
    calc_date(32,12,2024,ymd(2025,1,1)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_dec32) ).

tff(f30,axiom,
    ! [X0: $int] :
      ( $greater(X0,100000)
     => $greater(X0,36524) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_century_threshold_100k) ).

tff(f31,axiom,
    ! [X0: $int] :
      ( $greater(X0,400000)
     => $greater($difference(X0,365240),3652) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_century_multi_bridge) ).

tff(f32,axiom,
    ! [X0: $int] :
      ( $greater(X0,40000)
     => $greater($difference(X0,36524),1461) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_century_to_decade_bridge) ).

tff(f33,axiom,
    ! [X0: $int] :
      ( $less(X0,-41000)
     => $less($sum(X0,36524),-3652) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_century_back_bridge) ).

tff(f37,axiom,
    ! [X0: $int] : is_days_in_month(1,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m1) ).

tff(f38,axiom,
    ! [X0: $int] :
      ( ( ( ( ( $remainder_e(X0,400) != 0 )
            & ( $remainder_e(X0,100) = 0 ) )
          | ( $remainder_e(X0,4) != 0 ) )
       => is_days_in_month(2,X0,28) )
      & ( ( ( ( $remainder_e(X0,400) = 0 )
            | ( $remainder_e(X0,100) != 0 ) )
          & ( $remainder_e(X0,4) = 0 ) )
       => is_days_in_month(2,X0,29) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m2) ).

tff(f39,axiom,
    ! [X0: $int] : is_days_in_month(3,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m3) ).

tff(f40,axiom,
    ! [X0: $int] : is_days_in_month(4,X0,30),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m4) ).

tff(f41,axiom,
    ! [X0: $int] : is_days_in_month(5,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m5) ).

tff(f42,axiom,
    ! [X0: $int] : is_days_in_month(6,X0,30),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m6) ).

tff(f43,axiom,
    ! [X0: $int] : is_days_in_month(7,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m7) ).

tff(f44,axiom,
    ! [X0: $int] : is_days_in_month(8,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m8) ).

tff(f45,axiom,
    ! [X0: $int] : is_days_in_month(9,X0,30),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m9) ).

tff(f46,axiom,
    ! [X0: $int] : is_days_in_month(10,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m10) ).

tff(f47,axiom,
    ! [X0: $int] : is_days_in_month(11,X0,30),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m11) ).

tff(f48,axiom,
    ! [X0: $int] : is_days_in_month(12,X0,31),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m12) ).

tff(f54,axiom,
    map_name_to_int(saturday,0),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_0) ).

tff(f55,axiom,
    map_name_to_int(sunday,1),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_1) ).

tff(f56,axiom,
    map_name_to_int(monday,2),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_2) ).

tff(f57,axiom,
    map_name_to_int(tuesday,3),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_3) ).

tff(f58,axiom,
    map_name_to_int(wednesday,4),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_4) ).

tff(f59,axiom,
    map_name_to_int(thursday,5),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_5) ).

tff(f60,axiom,
    map_name_to_int(friday,6),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_n_6) ).

tff(f63,axiom,
    ! [X0: date,X1: day_name,X2: day_name] :
      ( ( weekday(X0,X2)
        & weekday(X0,X1) )
     => ( X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',weekday_functional) ).

tff(f64,axiom,
    ! [X0: day_name,X1: $int,X2: $int] :
      ( ( map_name_to_int(X0,X2)
        & map_name_to_int(X0,X1) )
     => ( X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_name_to_int_functional) ).

tff(f68,axiom,
    map_iso(0,saturday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_0) ).

tff(f69,axiom,
    map_iso(1,sunday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_1) ).

tff(f70,axiom,
    map_iso(2,monday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_2) ).

tff(f71,axiom,
    map_iso(3,tuesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_3) ).

tff(f72,axiom,
    map_iso(4,wednesday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_4) ).

tff(f73,axiom,
    map_iso(5,thursday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_5) ).

tff(f74,axiom,
    map_iso(6,friday),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',map_6) ).

tff(f75,axiom,
    is_days_in_year(2024,366),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',d_24) ).

tff(f76,axiom,
    is_days_in_year(2025,365),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',d_25) ).

tff(f77,axiom,
    is_days_in_year(2026,365),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',d_26) ).

tff(f78,axiom,
    is_days_in_year(2027,365),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',d_27) ).

tff(f79,axiom,
    is_days_in_year(2028,366),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',d_28) ).

tff(f80,axiom,
    calc_date(1461,1,2025,ymd(2028,12,31)),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',cache_4yr_2025_to_2028) ).

tff(f81,axiom,
    is_days_in_month(2,1776,29),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_leap_1776_feb) ).

tff(f82,axiom,
    is_days_in_month(2,2024,29),
    file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_leap_2024_feb) ).

tff(f90,plain,
    ! [X0: $int] :
      ( valid_day(X0)
    <=> ( ~ $less(31,X0)
        & $less(0,X0) ) ),
    inference(theory_normalization,[],[f1]) ).

tff(f98,plain,
    ! [X0: $int] :
      ( $less(100000,X0)
     => $less(36524,X0) ),
    inference(theory_normalization,[],[f30]) ).

tff(f99,plain,
    ! [X0: $int] :
      ( $less(400000,X0)
     => $less(3652,$sum(X0,$uminus(365240))) ),
    inference(theory_normalization,[],[f31]) ).

tff(f100,plain,
    ! [X0: $int] :
      ( $less(40000,X0)
     => $less(1461,$sum(X0,$uminus(36524))) ),
    inference(theory_normalization,[],[f32]) ).

tff(f116,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f117,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(definition,[],[tha_associativity]) ).

tff(f118,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(definition,[],[tha_right_identity]) ).

tff(f119,plain,
    ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(definition,[],[tha_inverse_op_op_inverses]) ).

tff(f120,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(definition,[],[tha_inverse_op_unit]) ).

tff(f121,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(definition,[],[tha_non-reflexivity]) ).

tff(f122,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(definition,[],[tha_transitivity]) ).

tff(f123,plain,
    ! [X0: $int,X1: $int] :
      ( ( X0 = X1 )
      | $less(X1,X0)
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f124,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(definition,[],[tha_order_monotonicity]) ).

tff(f125,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_plus_one_dichotomy]) ).

tff(f126,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(definition,[],[tha_minus_minus_x]) ).

tff(f127,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f128,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
    introduced(definition,[],[tha_associativity]) ).

tff(f129,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(definition,[],[tha_right_identity]) ).

tff(f130,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(definition,[],[tha_times_zero]) ).

tff(f131,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(definition,[],[tha_distributivity]) ).

tff(f132,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( X2 = X3 )
      | ( $product(X0,X3) != X1 )
      | ( $product(X0,X2) != X1 )
      | ( 0 = X0 ) ),
    introduced(definition,[],[tha_divisibility]) ).

tff(f133,plain,
    ! [X1: $int] :
      ( ( $abs(X1) = X1 )
      | ~ $less(0,X1) ),
    introduced(definition,[],[tha_abs_equals]) ).

tff(f134,plain,
    ! [X1: $int] :
      ( ( $uminus(X1) = $abs(X1) )
      | ~ $less(X1,0) ),
    introduced(definition,[],[tha_abs_minus_equals]) ).

tff(f135,plain,
    ! [X2: $int,X1: $int] :
      ( ( $sum($remainder_e(X1,X2),$product(X2,$quotient_e(X1,X2))) = X1 )
      | ( 0 = X2 ) ),
    introduced(definition,[],[tha_modulo_multiply]) ).

tff(f136,plain,
    ! [X2: $int,X1: $int] :
      ( ~ $less($remainder_e(X1,X2),0)
      | ( 0 = X2 ) ),
    introduced(definition,[],[tha_modulo_positive]) ).

tff(f137,plain,
    ! [X2: $int,X1: $int] :
      ( ~ $less($sum($abs(X2),$uminus(1)),$remainder_e(X1,X2))
      | ( 0 = X2 ) ),
    introduced(definition,[],[tha_modulo_small]) ).

tff(f138,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(definition,[],[tha_extra_integer_ordering]) ).

tff(f139,plain,
    ! [X0: $int] :
      ( ( ~ $less(31,X0)
        & $less(0,X0) )
     => valid_day(X0) ),
    inference(unused_predicate_definition_removal,[],[f90]) ).

tff(f161,plain,
    ! [X0: $int] :
      ( ~ $less(100000,X0)
      | $less(36524,X0) ),
    inference(ennf_transformation,[],[f98]) ).

tff(f162,plain,
    ! [X0: $int] :
      ( ~ $less(400000,X0)
      | $less(3652,$sum(X0,$uminus(365240))) ),
    inference(ennf_transformation,[],[f99]) ).

tff(f163,plain,
    ! [X0: $int] :
      ( ~ $less(40000,X0)
      | $less(1461,$sum(X0,$uminus(36524))) ),
    inference(ennf_transformation,[],[f100]) ).

tff(f164,plain,
    ! [X0: $int] :
      ( ~ $less(X0,-41000)
      | $less($sum(X0,36524),-3652) ),
    inference(ennf_transformation,[],[f33]) ).

tff(f171,plain,
    ! [X0: $int] :
      ( ( ( ( ( 0 = $remainder_e(X0,400) )
            | ( 0 != $remainder_e(X0,100) ) )
          & ( 0 = $remainder_e(X0,4) ) )
        | is_days_in_month(2,X0,28) )
      & ( ( ( 0 != $remainder_e(X0,400) )
          & ( 0 = $remainder_e(X0,100) ) )
        | ( 0 != $remainder_e(X0,4) )
        | is_days_in_month(2,X0,29) ) ),
    inference(ennf_transformation,[],[f38]) ).

tff(f172,plain,
    ! [X0: $int] :
      ( ( ( ( ( 0 = $remainder_e(X0,400) )
            | ( 0 != $remainder_e(X0,100) ) )
          & ( 0 = $remainder_e(X0,4) ) )
        | is_days_in_month(2,X0,28) )
      & ( ( ( 0 != $remainder_e(X0,400) )
          & ( 0 = $remainder_e(X0,100) ) )
        | ( 0 != $remainder_e(X0,4) )
        | is_days_in_month(2,X0,29) ) ),
    inference(flattening,[],[f171]) ).

tff(f187,plain,
    ! [X0: date,X1: day_name,X2: day_name] :
      ( ~ weekday(X0,X2)
      | ~ weekday(X0,X1)
      | ( X1 = X2 ) ),
    inference(ennf_transformation,[],[f63]) ).

tff(f188,plain,
    ! [X0: date,X1: day_name,X2: day_name] :
      ( ~ weekday(X0,X2)
      | ~ weekday(X0,X1)
      | ( X1 = X2 ) ),
    inference(flattening,[],[f187]) ).

tff(f189,plain,
    ! [X0: day_name,X1: $int,X2: $int] :
      ( ~ map_name_to_int(X0,X2)
      | ~ map_name_to_int(X0,X1)
      | ( X1 = X2 ) ),
    inference(ennf_transformation,[],[f64]) ).

tff(f190,plain,
    ! [X0: day_name,X1: $int,X2: $int] :
      ( ~ map_name_to_int(X0,X2)
      | ~ map_name_to_int(X0,X1)
      | ( X1 = X2 ) ),
    inference(flattening,[],[f189]) ).

tff(f209,plain,
    weekday(ymd(2024,1,1),monday),
    inference(cnf_transformation,[],[f2]) ).

tff(f210,plain,
    weekday(ymd(2024,2,1),thursday),
    inference(cnf_transformation,[],[f3]) ).

tff(f211,plain,
    weekday(ymd(2024,3,1),friday),
    inference(cnf_transformation,[],[f4]) ).

tff(f212,plain,
    weekday(ymd(2024,4,1),monday),
    inference(cnf_transformation,[],[f5]) ).

tff(f213,plain,
    weekday(ymd(2024,5,1),wednesday),
    inference(cnf_transformation,[],[f6]) ).

tff(f214,plain,
    weekday(ymd(2025,1,1),wednesday),
    inference(cnf_transformation,[],[f7]) ).

tff(f215,plain,
    weekday(ymd(2025,2,1),saturday),
    inference(cnf_transformation,[],[f8]) ).

tff(f216,plain,
    weekday(ymd(2025,3,1),saturday),
    inference(cnf_transformation,[],[f9]) ).

tff(f217,plain,
    weekday(ymd(2025,11,1),saturday),
    inference(cnf_transformation,[],[f10]) ).

tff(f218,plain,
    weekday(ymd(1776,1,1),monday),
    inference(cnf_transformation,[],[f11]) ).

tff(f219,plain,
    weekday(ymd(1969,1,1),wednesday),
    inference(cnf_transformation,[],[f12]) ).

tff(f220,plain,
    weekday(ymd(1985,1,1),tuesday),
    inference(cnf_transformation,[],[f13]) ).

tff(f221,plain,
    weekday(ymd(1600,1,1),saturday),
    inference(cnf_transformation,[],[f14]) ).

tff(f222,plain,
    calc_date(0,3,2024,ymd(2024,2,29)),
    inference(cnf_transformation,[],[f15]) ).

tff(f223,plain,
    calc_date(0,3,2025,ymd(2025,2,28)),
    inference(cnf_transformation,[],[f16]) ).

tff(f224,plain,
    calc_date(0,1,2025,ymd(2024,12,31)),
    inference(cnf_transformation,[],[f17]) ).

tff(f225,plain,
    calc_date(0,1,2024,ymd(2023,12,31)),
    inference(cnf_transformation,[],[f18]) ).

tff(f226,plain,
    calc_date(32,12,2024,ymd(2025,1,1)),
    inference(cnf_transformation,[],[f19]) ).

tff(f237,plain,
    ! [X0: $int] :
      ( ~ $less(100000,X0)
      | $less(36524,X0) ),
    inference(cnf_transformation,[],[f161]) ).

tff(f238,plain,
    ! [X0: $int] :
      ( ~ $less(400000,X0)
      | $less(3652,$sum(X0,$uminus(365240))) ),
    inference(cnf_transformation,[],[f162]) ).

tff(f239,plain,
    ! [X0: $int] :
      ( ~ $less(40000,X0)
      | $less(1461,$sum(X0,$uminus(36524))) ),
    inference(cnf_transformation,[],[f163]) ).

tff(f240,plain,
    ! [X0: $int] :
      ( ~ $less(X0,-41000)
      | $less($sum(X0,36524),-3652) ),
    inference(cnf_transformation,[],[f164]) ).

tff(f245,plain,
    ! [X0: $int] : is_days_in_month(1,X0,31),
    inference(cnf_transformation,[],[f37]) ).

tff(f247,plain,
    ! [X0: $int] :
      ( ( 0 = $remainder_e(X0,4) )
      | is_days_in_month(2,X0,28) ),
    inference(cnf_transformation,[],[f172]) ).

tff(f250,plain,
    ! [X0: $int] : is_days_in_month(3,X0,31),
    inference(cnf_transformation,[],[f39]) ).

tff(f251,plain,
    ! [X0: $int] : is_days_in_month(4,X0,30),
    inference(cnf_transformation,[],[f40]) ).

tff(f252,plain,
    ! [X0: $int] : is_days_in_month(5,X0,31),
    inference(cnf_transformation,[],[f41]) ).

tff(f253,plain,
    ! [X0: $int] : is_days_in_month(6,X0,30),
    inference(cnf_transformation,[],[f42]) ).

tff(f254,plain,
    ! [X0: $int] : is_days_in_month(7,X0,31),
    inference(cnf_transformation,[],[f43]) ).

tff(f255,plain,
    ! [X0: $int] : is_days_in_month(8,X0,31),
    inference(cnf_transformation,[],[f44]) ).

tff(f256,plain,
    ! [X0: $int] : is_days_in_month(9,X0,30),
    inference(cnf_transformation,[],[f45]) ).

tff(f257,plain,
    ! [X0: $int] : is_days_in_month(10,X0,31),
    inference(cnf_transformation,[],[f46]) ).

tff(f258,plain,
    ! [X0: $int] : is_days_in_month(11,X0,30),
    inference(cnf_transformation,[],[f47]) ).

tff(f259,plain,
    ! [X0: $int] : is_days_in_month(12,X0,31),
    inference(cnf_transformation,[],[f48]) ).

tff(f265,plain,
    map_name_to_int(saturday,0),
    inference(cnf_transformation,[],[f54]) ).

tff(f266,plain,
    map_name_to_int(sunday,1),
    inference(cnf_transformation,[],[f55]) ).

tff(f267,plain,
    map_name_to_int(monday,2),
    inference(cnf_transformation,[],[f56]) ).

tff(f268,plain,
    map_name_to_int(tuesday,3),
    inference(cnf_transformation,[],[f57]) ).

tff(f269,plain,
    map_name_to_int(wednesday,4),
    inference(cnf_transformation,[],[f58]) ).

tff(f270,plain,
    map_name_to_int(thursday,5),
    inference(cnf_transformation,[],[f59]) ).

tff(f271,plain,
    map_name_to_int(friday,6),
    inference(cnf_transformation,[],[f60]) ).

tff(f274,plain,
    ! [X2: day_name,X0: date,X1: day_name] :
      ( ~ weekday(X0,X2)
      | ~ weekday(X0,X1)
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f188]) ).

tff(f275,plain,
    ! [X2: $int,X0: day_name,X1: $int] :
      ( ~ map_name_to_int(X0,X2)
      | ~ map_name_to_int(X0,X1)
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f190]) ).

tff(f280,plain,
    map_iso(0,saturday),
    inference(cnf_transformation,[],[f68]) ).

tff(f281,plain,
    map_iso(1,sunday),
    inference(cnf_transformation,[],[f69]) ).

tff(f282,plain,
    map_iso(2,monday),
    inference(cnf_transformation,[],[f70]) ).

tff(f283,plain,
    map_iso(3,tuesday),
    inference(cnf_transformation,[],[f71]) ).

tff(f284,plain,
    map_iso(4,wednesday),
    inference(cnf_transformation,[],[f72]) ).

tff(f285,plain,
    map_iso(5,thursday),
    inference(cnf_transformation,[],[f73]) ).

tff(f286,plain,
    map_iso(6,friday),
    inference(cnf_transformation,[],[f74]) ).

tff(f287,plain,
    is_days_in_year(2024,366),
    inference(cnf_transformation,[],[f75]) ).

tff(f288,plain,
    is_days_in_year(2025,365),
    inference(cnf_transformation,[],[f76]) ).

tff(f289,plain,
    is_days_in_year(2026,365),
    inference(cnf_transformation,[],[f77]) ).

tff(f290,plain,
    is_days_in_year(2027,365),
    inference(cnf_transformation,[],[f78]) ).

tff(f291,plain,
    is_days_in_year(2028,366),
    inference(cnf_transformation,[],[f79]) ).

tff(f292,plain,
    calc_date(1461,1,2025,ymd(2028,12,31)),
    inference(cnf_transformation,[],[f80]) ).

tff(f293,plain,
    is_days_in_month(2,1776,29),
    inference(cnf_transformation,[],[f81]) ).

tff(f294,plain,
    is_days_in_month(2,2024,29),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_49,negated_conjecture,
    ! [X0_int: $int,X1_int: $int] :
      ( ~ $less(X1_int,X0_int)
      | ~ $less(X0_int,$sum(X1_int,1)) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_50,plain,
    ! [X0_int: $int,X1_int: $int] :
      ( ( X0_int = 0 )
      | ~ $less($sum($abs(X0_int),$uminus(1)),$remainder(X1_int,X0_int)) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_51,plain,
    ! [X0_int: $int,X1_int: $int] :
      ( ( X1_int = 0 )
      | ~ $less($remainder(X0_int,X1_int),0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_53,plain,
    ! [X0_int: $int] :
      ( ( $uminus(X0_int) = $abs(X0_int) )
      | ~ $less(X0_int,0) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_54,plain,
    ! [X0_int: $int] :
      ( ( $abs(X0_int) = X0_int )
      | ~ $less(0,X0_int) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_56,plain,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] : $sum($product(X0_int,X1_int),$product(X0_int,X2_int)) = $product(X0_int,$sum(X1_int,X2_int)),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_57,plain,
    ! [X0_int: $int] : $product(X0_int,0) = 0,
    inference(cnf_transformation,[],[f130]) ).

tcf(c_58,plain,
    ! [X0_int: $int] : $product(X0_int,1) = X0_int,
    inference(cnf_transformation,[],[f129]) ).

tcf(c_59,plain,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] : $product($product(X0_int,X1_int),X2_int) = $product(X0_int,$product(X1_int,X2_int)),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_60,plain,
    ! [X0_int: $int,X1_int: $int] : $product(X0_int,X1_int) = $product(X1_int,X0_int),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_61,plain,
    ! [X0_int: $int] : $uminus($uminus(X0_int)) = X0_int,
    inference(cnf_transformation,[],[f126]) ).

tcf(c_62,plain,
    ! [X0_int: $int,X1_int: $int] :
      ( $less(X1_int,X0_int)
      | $less(X0_int,$sum(X1_int,1)) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_63,plain,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] :
      ( $less($sum(X0_int,X2_int),$sum(X1_int,X2_int))
      | ~ $less(X0_int,X1_int) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_64,plain,
    ! [X0_int: $int,X1_int: $int] :
      ( $less(X1_int,X0_int)
      | $less(X0_int,X1_int)
      | ( X0_int = X1_int ) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_65,plain,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] :
      ( $less(X0_int,X2_int)
      | ~ $less(X1_int,X2_int)
      | ~ $less(X0_int,X1_int) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_66,negated_conjecture,
    ! [X0_int: $int] : ~ $less(X0_int,X0_int),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_67,plain,
    ! [X0_int: $int] : $sum(X0_int,$uminus(X0_int)) = 0,
    inference(cnf_transformation,[],[f120]) ).

tcf(c_68,plain,
    ! [X0_int: $int,X1_int: $int] : $sum($uminus(X0_int),$uminus(X1_int)) = $uminus($sum(X1_int,X0_int)),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_69,plain,
    ! [X0_int: $int] : $sum(X0_int,0) = X0_int,
    inference(cnf_transformation,[],[f118]) ).

tcf(c_70,plain,
    ! [X0_int: $int,X1_int: $int,X2_int: $int] : $sum($sum(X0_int,X1_int),X2_int) = $sum(X0_int,$sum(X1_int,X2_int)),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_71,plain,
    ! [X0_int: $int,X1_int: $int] : $sum(X0_int,X1_int) = $sum(X1_int,X0_int),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_73,plain,
    weekday(ymd(2024,1,1),monday),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_74,plain,
    weekday(ymd(2024,2,1),thursday),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_75,plain,
    weekday(ymd(2024,3,1),friday),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_76,plain,
    weekday(ymd(2024,4,1),monday),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_77,plain,
    weekday(ymd(2024,5,1),wednesday),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_78,plain,
    weekday(ymd(2025,1,1),wednesday),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_79,plain,
    weekday(ymd(2025,2,1),saturday),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_80,plain,
    weekday(ymd(2025,3,1),saturday),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_81,plain,
    weekday(ymd(2025,11,1),saturday),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_82,plain,
    weekday(ymd(1776,1,1),monday),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_83,plain,
    weekday(ymd(1969,1,1),wednesday),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_84,plain,
    weekday(ymd(1985,1,1),tuesday),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_85,plain,
    weekday(ymd(1600,1,1),saturday),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_86,plain,
    calc_date(0,3,2024,ymd(2024,2,29)),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_87,plain,
    calc_date(0,3,2025,ymd(2025,2,28)),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_88,plain,
    calc_date(0,1,2025,ymd(2024,12,31)),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_89,plain,
    calc_date(0,1,2024,ymd(2023,12,31)),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_90,plain,
    calc_date(32,12,2024,ymd(2025,1,1)),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_101,plain,
    ! [X0_int: $int] :
      ( $less(36524,X0_int)
      | ~ $less(100000,X0_int) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_102,plain,
    ! [X0_int: $int] :
      ( $less(3652,$sum(X0_int,$uminus(365240)))
      | ~ $less(400000,X0_int) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_103,plain,
    ! [X0_int: $int] :
      ( $less(1461,$sum(X0_int,$uminus(36524)))
      | ~ $less(40000,X0_int) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_104,plain,
    ! [X0_int: $int] :
      ( $less($sum(X0_int,36524),-3652)
      | ~ $less(X0_int,-41000) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_109,plain,
    ! [X0_int: $int] : is_days_in_month(1,X0_int,31),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_112,plain,
    ! [X0_int: $int] :
      ( is_days_in_month(2,X0_int,28)
      | ( $remainder(X0_int,4) = 0 ) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_114,plain,
    ! [X0_int: $int] : is_days_in_month(3,X0_int,31),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_115,plain,
    ! [X0_int: $int] : is_days_in_month(4,X0_int,30),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_116,plain,
    ! [X0_int: $int] : is_days_in_month(5,X0_int,31),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_117,plain,
    ! [X0_int: $int] : is_days_in_month(6,X0_int,30),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_118,plain,
    ! [X0_int: $int] : is_days_in_month(7,X0_int,31),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_119,plain,
    ! [X0_int: $int] : is_days_in_month(8,X0_int,31),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_120,plain,
    ! [X0_int: $int] : is_days_in_month(9,X0_int,30),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_121,plain,
    ! [X0_int: $int] : is_days_in_month(10,X0_int,31),
    inference(cnf_transformation,[],[f257]) ).

tcf(c_122,plain,
    ! [X0_int: $int] : is_days_in_month(11,X0_int,30),
    inference(cnf_transformation,[],[f258]) ).

tcf(c_123,plain,
    ! [X0_int: $int] : is_days_in_month(12,X0_int,31),
    inference(cnf_transformation,[],[f259]) ).

tcf(c_129,plain,
    map_name_to_int(saturday,0),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_130,plain,
    map_name_to_int(sunday,1),
    inference(cnf_transformation,[],[f266]) ).

tcf(c_131,plain,
    map_name_to_int(monday,2),
    inference(cnf_transformation,[],[f267]) ).

tcf(c_132,plain,
    map_name_to_int(tuesday,3),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_133,plain,
    map_name_to_int(wednesday,4),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_134,plain,
    map_name_to_int(thursday,5),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_135,plain,
    map_name_to_int(friday,6),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_138,plain,
    ! [X0_date: date,X0_day_name: day_name,X1_day_name: day_name] :
      ( ( X0_day_name = X1_day_name )
      | ~ weekday(X0_date,X1_day_name)
      | ~ weekday(X0_date,X0_day_name) ),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_139,plain,
    ! [X0_int: $int,X0_day_name: day_name,X1_int: $int] :
      ( ( X0_int = X1_int )
      | ~ map_name_to_int(X0_day_name,X1_int)
      | ~ map_name_to_int(X0_day_name,X0_int) ),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_144,plain,
    map_iso(0,saturday),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_145,plain,
    map_iso(1,sunday),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_146,plain,
    map_iso(2,monday),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_147,plain,
    map_iso(3,tuesday),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_148,plain,
    map_iso(4,wednesday),
    inference(cnf_transformation,[],[f284]) ).

tcf(c_149,plain,
    map_iso(5,thursday),
    inference(cnf_transformation,[],[f285]) ).

tcf(c_150,plain,
    map_iso(6,friday),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_151,plain,
    is_days_in_year(2024,366),
    inference(cnf_transformation,[],[f287]) ).

tcf(c_152,plain,
    is_days_in_year(2025,365),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_153,plain,
    is_days_in_year(2026,365),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_154,plain,
    is_days_in_year(2027,365),
    inference(cnf_transformation,[],[f290]) ).

tcf(c_155,plain,
    is_days_in_year(2028,366),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_156,plain,
    calc_date(1461,1,2025,ymd(2028,12,31)),
    inference(cnf_transformation,[],[f292]) ).

tcf(c_157,plain,
    is_days_in_month(2,1776,29),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_158,plain,
    is_days_in_month(2,2024,29),
    inference(cnf_transformation,[],[f294]) ).

tcf(c_166,plain,
    $less(-41000,-3652),
    theory(arith) ).

tcf(c_167,plain,
    $less(-3652,-1),
    theory(arith) ).

tcf(c_168,plain,
    $less(-1,0),
    theory(arith) ).

tcf(c_169,plain,
    $less(0,1),
    theory(arith) ).

tcf(c_170,plain,
    $less(1,2),
    theory(arith) ).

tcf(c_171,plain,
    $less(2,3),
    theory(arith) ).

tcf(c_172,plain,
    $less(3,4),
    theory(arith) ).

tcf(c_173,plain,
    $less(4,5),
    theory(arith) ).

tcf(c_174,plain,
    $less(5,6),
    theory(arith) ).

tcf(c_175,plain,
    $less(6,7),
    theory(arith) ).

tcf(c_176,plain,
    $less(7,8),
    theory(arith) ).

tcf(c_177,plain,
    $less(8,9),
    theory(arith) ).

tcf(c_178,plain,
    $less(9,10),
    theory(arith) ).

tcf(c_179,plain,
    $less(10,11),
    theory(arith) ).

tcf(c_180,plain,
    $less(11,12),
    theory(arith) ).

tcf(c_181,plain,
    $less(12,13),
    theory(arith) ).

tcf(c_182,plain,
    $less(13,28),
    theory(arith) ).

tcf(c_183,plain,
    $less(28,29),
    theory(arith) ).

tcf(c_184,plain,
    $less(29,30),
    theory(arith) ).

tcf(c_185,plain,
    $less(30,31),
    theory(arith) ).

tcf(c_186,plain,
    $less(31,32),
    theory(arith) ).

tcf(c_187,plain,
    $less(32,100),
    theory(arith) ).

tcf(c_188,plain,
    $less(100,200),
    theory(arith) ).

tcf(c_189,plain,
    $less(200,365),
    theory(arith) ).

tcf(c_190,plain,
    $less(365,366),
    theory(arith) ).

tcf(c_191,plain,
    $less(366,400),
    theory(arith) ).

tcf(c_192,plain,
    $less(400,1461),
    theory(arith) ).

tcf(c_193,plain,
    $less(1461,1582),
    theory(arith) ).

tcf(c_194,plain,
    $less(1582,1600),
    theory(arith) ).

tcf(c_195,plain,
    $less(1600,1776),
    theory(arith) ).

tcf(c_196,plain,
    $less(1776,1969),
    theory(arith) ).

tcf(c_197,plain,
    $less(1969,1985),
    theory(arith) ).

tcf(c_198,plain,
    $less(1985,2000),
    theory(arith) ).

tcf(c_199,plain,
    $less(2000,2023),
    theory(arith) ).

tcf(c_200,plain,
    $less(2023,2024),
    theory(arith) ).

tcf(c_201,plain,
    $less(2024,2025),
    theory(arith) ).

tcf(c_202,plain,
    $less(2025,2026),
    theory(arith) ).

tcf(c_203,plain,
    $less(2026,2027),
    theory(arith) ).

tcf(c_204,plain,
    $less(2027,2028),
    theory(arith) ).

tcf(c_205,plain,
    $less(2028,2095),
    theory(arith) ).

tcf(c_206,plain,
    $less(2095,3652),
    theory(arith) ).

tcf(c_207,plain,
    $less(3652,3653),
    theory(arith) ).

tcf(c_208,plain,
    $less(3653,36524),
    theory(arith) ).

tcf(c_209,plain,
    $less(36524,40000),
    theory(arith) ).

tcf(c_210,plain,
    $less(40000,100000),
    theory(arith) ).

tcf(c_211,plain,
    $less(100000,146097),
    theory(arith) ).

tcf(c_212,plain,
    $less(146097,365240),
    theory(arith) ).

tcf(c_213,plain,
    $less(365240,400000),
    theory(arith) ).

tcf(c_9218,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_139,c_138,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_112,c_109,c_104,c_103,c_102,c_101,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_54,c_53,c_51,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TIM013_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 04:05:19 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.39  Running TFA theorem proving
% 0.10/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.40  
% 0.10/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40  
% 0.10/0.40  % Detected problem language: tptp
% 0.10/0.42  % Proving...
% 7.67/2.75  % SZS status Started for theBenchmark.p
% 7.67/2.75  ERROR - "ProverProcess:heur/schedule_none:304.9999797344208" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/y9ryqwja 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/y9ryqwja_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 0 --comb_sup_mult 6 --conj_cone_tolerance 1.8969679945890683 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 3.67 --show_fool true" --time_out_real 11.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/c04m6g3i 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/c04m6g3i_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 0 --conj_cone_tolerance 4.0357851670394345 --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1.0 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 16384 --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 1.00 --show_fool true" --time_out_real 3.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/ivjxw2ti 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/ivjxw2ti_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 6 --conj_cone_tolerance 1.895766803319499 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_pos_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 128 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 13.33 --show_fool true" --time_out_real 40.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/9tfby7m3 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/9tfby7m3_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_66020:200.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_res_mult 3 --comb_sup_deep_mult 1 --comb_sup_mult 0 --conj_cone_tolerance 2.250068292082666 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 32 --inst_lit_activity_flag false --inst_lit_sel "[+ground;+num_var]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-num_lits;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.13028534399813618 --inst_solver_per_active 4096 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+non_prol_conj_symb;-depth;-non_prol_conj_symb;+non_prol_conj_symb;+eq]" --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 128 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 10000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;Demod;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-min_def_symb;+reachable_state;-age];[-epr];[+horn;-reachable_state;-num_var]]" --sup_passive_queues_freq "[2;5;15]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim --sup_share_max_num_cl 80 --sup_share_score_frac 0.1 --sup_smt_interval 16384 --sup_symb_ordering random --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 66.67 --show_fool true" --time_out_real 200.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/nuefh_xt 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/nuefh_xt_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 2 --comb_mode clause_based --comb_sup_deep_mult 3 --comb_sup_mult 0 --conj_cone_tolerance 3.378762210374529 --demod_completeness_check full --demod_use_ground false --extra_neg_conj all_pos --inst_activity_threshold 4 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 8192 --inst_lit_activity_flag true --inst_lit_sel "[-conj_symb;-conj_symb;+conj_symb;+num_var;-non_prol_conj_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-has_eq;-conj_dist];[+ground;-min_def_symb]]" --inst_passive_queues_freq "[5;3]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.60162165485836 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-conj_symb;-num_symb;+num_var;-eq;+num_var]" --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 128 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 4 --sup_bw_gjoin_interval 1000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm;FwACDemod;BwACDemod;SMTIncr;SMTSet;BwGjoin]" --sup_input_fixpoint true --sup_iter_deepening 8 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[+next_state;-horn;-epr];[+max_atom_input_occur];[-num_lits;-num_lits]]" --sup_passive_queues_freq "[2;1;5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 16 --sup_smt_interval 8192 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 14.67 --show_fool true" --time_out_real 44.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/spb2bqbi 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/spb2bqbi_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65522:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_sup_deep_mult 64 --comb_sup_mult 0 --conj_cone_tolerance 4.858427083539148 --demod_completeness_check fastold --demod_use_ground false --extra_neg_conj all_pos --instantiation_flag false --out_options none --prep_sup_sim_all false --prep_sup_sim_sup true --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 512 --proof_out true --prop_solver_per_cl 32 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;Demod;LightNorm;ACJoinability;ACNormalisation;ACDemod]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACDemod]" --sup_input_fixpoint false --sup_input_fw "[]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[-num_var];[-max_atom_input_occur;-conj_non_prolific_symb];[+conj_symb;+has_bound_constant]]" --sup_passive_queues_freq "[6;6;6]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 0 --sup_smt_interval 512 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 500 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 5.33 --show_fool true" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/hdutcey7 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/hdutcey7_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_64741:92.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 2 --comb_sup_mult 8 --conj_cone_tolerance 3 --demod_completeness_check fast --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 0 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACNormalisation;GroundJoinability]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[UnitSubsAndRes;ACNormalisation]" --sup_immed_fw_main "[UnitSubsAndRes;LightNorm;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[FwDemod;LightNorm]" --sup_input_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACDemod]" --sup_input_fixpoint true --sup_input_fw "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;ACDemod;GroundJoinability]" --sup_input_triv "[Unflattening;SMTSimplify]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 512 --sup_symb_ordering invfreq --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 0 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 30.67 --show_fool true" --time_out_real 92.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/kllotfmm 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/kllotfmm_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_66004:17.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_sup_deep_mult 64 --comb_sup_mult 1 --conj_cone_tolerance 4.9771355199772405 --demod_completeness_check off --demod_use_ground true --extra_neg_conj all_pos --instantiation_flag false --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 1024 --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult -1 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[SubsumptionRes;Demod]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[Subsumption;UnitSubsAndRes;Demod]" --sup_immed_bw_main "[]" --sup_immed_fixpoint true --sup_immed_fw_immed "[]" --sup_immed_fw_main "[SubsumptionRes;UnitSubsAndRes;Demod;LightNorm;ACJoinability;ACNormalisation;Connectedness]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[]" --sup_input_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;ACDemod]" --sup_input_fixpoint true --sup_input_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;LightNorm;ACJoinability;ACDemod;Connectedness]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[-conj_symb;-horn];[-score;+conj_non_prolific_symb;+conj_symb];[+next_state;+score]]" --sup_passive_queues_freq "[15;2;15]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 8 --sup_score sim --sup_share_max_num_cl 10000 --sup_share_score_frac 0.1 --sup_smt_interval 65536 --sup_symb_ordering invfreq_invarity --sup_term_weight default --sup_to_prop_solver active --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 5.67 --show_fool true" --time_out_real 17.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/2bkqngiq 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/2bkqngiq_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65089:37.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 1 --conj_cone_tolerance 2.250068292082666 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 32 --inst_lit_activity_flag false --inst_lit_sel "[+ground;+num_var]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-num_lits;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.13028534399813618 --inst_solver_per_active 4096 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+non_prol_conj_symb;-depth;-non_prol_conj_symb;+non_prol_conj_symb;+eq]" --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 128 --proof_out true --prop_solver_per_cl 32768 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 10000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;Demod;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-min_def_symb;+reachable_state;-age];[-epr];[+horn;-reachable_state;-num_var]]" --sup_passive_queues_freq "[2;5;15]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_score sim --sup_share_max_num_cl 80 --sup_share_score_frac 0.1 --sup_smt_interval 16384 --sup_symb_ordering random --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 12.33 --show_fool true" --time_out_real 37.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/qpryzvjg 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/qpryzvjg_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65521:304.4290006160736" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 2 --comb_mode time_based --comb_res_mult 64 --comb_sup_deep_mult 6 --comb_sup_mult 3 --conj_cone_tolerance 1.9360817307523468 --demod_completeness_check fastold --demod_use_ground false --extra_neg_conj all_pos_neg --inst_activity_threshold 512 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 64 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-num_var;-eq;-split]" --inst_lit_sel_side none --inst_orphan_elimination false --inst_passive_queue_type list --inst_passive_queues "[[-conj_symb;-conj_symb;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.9997085569109354 --inst_solver_per_active 8 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[-num_symb;-depth]" --inst_start_prop_sim_after_learn 2 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 32 --proof_out true --prop_solver_per_cl 16384 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 128 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;ACNormalisation;ACDemod;GroundJoinability;Connectedness]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[UnitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm;SMTSet]" --sup_input_bw "[]" --sup_input_fixpoint false --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 1 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[-bc_imp_inh];[-num_var;-next_state];[+conj_non_prolific_symb;+ar_concr;+horn]]" --sup_passive_queues_freq "[6;3;6]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 0 --sup_smt_interval 128 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.48 --show_fool true" --time_out_real 304.43 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/n2krlq4t 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/n2krlq4t_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65082:303.9194300174713" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_sup_deep_mult 4 --comb_sup_mult 2 --conj_cone_tolerance 3.353232616222183 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_loop_flag false --inst_lit_activity_flag false --inst_lit_sel "[+split;-eq;+conj_symb]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type list --inst_passive_queues "[[-num_lits;+has_eq]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.7872231457117155 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;-depth;+sign]" --inst_start_prop_sim_after_learn 7 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver true --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 2048 --proof_out true --prop_solver_per_cl 32768 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 0 --sup_cache_sim once --sup_full_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Connectedness]" --sup_fun_splitting true --sup_immed_bw_immed "[Subsumption;UnitSubsAndRes;FullSubsAndRes;ACDemod]" --sup_immed_bw_main "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_iter_deepening 1 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_bound_constant;-has_eq];[+bc_imp_inh];[-min_def_symb;+bc_imp_inh]]" --sup_passive_queues_freq "[10;3;5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 0 --sup_smt_interval 32768 --sup_symb_ordering invfreq --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 500 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.31 --show_fool true" --time_out_real 303.92 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/lqplhgb0 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/lqplhgb0_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_65512:303.9136908054352" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_res_mult 16 --comb_sup_deep_mult 32 --comb_sup_mult 0 --conj_cone_tolerance 1.5624031508375285 --demod_completeness_check full --demod_use_ground false --extra_neg_conj none --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 64 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;ACDemod]" --sup_immed_bw_main "[Subsumption;SubsumptionRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;LightNorm;ACJoinability;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[UnitSubsAndRes;Demod;ACJoinability;ACNormalisation;GroundJoinability]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;Subsumption;BwDemod;FwACDemod;SMTSet]" --sup_input_fixpoint true --sup_iter_deepening 8 --sup_main_fixpoint false --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-conj_symb;+ar_concr]]" --sup_passive_queues_freq "[2]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 1024 --sup_symb_ordering arity_random --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.30 --show_fool true" --time_out_real 303.91 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/rjguohjf 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/rjguohjf_error
% 7.67/2.75  ERROR - "ProverProcess:heur/vip_66019:303.9086203575134" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 7.67/2.75  Fatal error: exception Failure("undefined enum value")
% 7.67/2.75  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 0 --conj_cone_tolerance 1.9530837400095074 --demod_completeness_check fast --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --prep_sup_sim_all true --prep_sup_sim_sup true --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 32768 --proof_out true --prop_solver_per_cl 1024 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 2 --sup_bw_gjoin_interval 1000 --sup_cache_sim all --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint true --sup_immed_fw_immed "[SubsumptionRes;FullSubsAndRes;Demod;ACNormalisation;ACDemod]" --sup_immed_fw_main "[Subsumption;Demod;ACJoinability;GroundJoinability]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fixpoint false --sup_input_fw "[UnitSubsAndRes;Demod;ACJoinability;ACNormalisation;ACDemod;GroundJoinability;Connectedness]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[+ground;-reachable_state];[-num_var;-conj_symb]]" --sup_passive_queues_freq "[8;8]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_gen --sup_share_max_num_cl 160 --sup_share_score_frac 0.8 --sup_smt_interval 65536 --sup_symb_ordering invfreq_invarity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.30 --show_fool true" --time_out_real 303.91 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/9ime3ocz 2>> /export/starexec/sandbox/tmp/iprover_out_ss9mucen/9ime3ocz_error
% 7.67/2.75  % SZS status Theorem for theBenchmark.p
% 7.67/2.75  
% 7.67/2.75  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.67/2.75  
% 7.67/2.75  % ------  iProver source info
% 7.67/2.75  
% 7.67/2.75  % git: date: 2026-07-19 20:42:38 +0200
% 7.67/2.75  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.67/2.75  % git: non_committed_changes: false
% 7.67/2.75  
% 7.67/2.75  % ------ Parsing...
% 7.67/2.75  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.67/2.75  
% 7.67/2.75  % ------ Preprocessing... sf_s  rm: 6 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 7.67/2.75  
% 7.67/2.75  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.67/2.75  
% 7.67/2.75  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.67/2.75  % ------ Proving...
% 7.67/2.75  % ------ Problem Properties 
% 7.67/2.75  
% 7.67/2.75  % 
% 7.67/2.75  % clauses                               159
% 7.67/2.75  % conjectures                           2
% 7.67/2.75  % EPR                                   86
% 7.67/2.75  % Horn                                  139
% 7.67/2.75  % unary                                 113
% 7.67/2.75  % binary                                14
% 7.67/2.75  % lits                                  271
% 7.67/2.75  % lits eq                               44
% 7.67/2.75  % fd_pure                               0
% 7.67/2.75  % fd_pseudo                             0
% 7.67/2.75  % fd_cond                               6
% 7.67/2.75  % fd_pseudo_cond                        4
% 7.67/2.75  % AC symbols                            2
% 7.67/2.75  
% 7.67/2.75  % ------ Input Options Time Limit: Unbounded
% 7.67/2.75  
% 7.67/2.75  
% 7.67/2.75  % ------ 
% 7.67/2.75  % Current options:
% 7.67/2.75  % ------ 
% 7.67/2.75  
% 7.67/2.75  
% 7.67/2.75  % 
% 7.67/2.75  
% 7.67/2.75  % ------ Proving...
% 7.67/2.75  % 
% 7.67/2.75  
% 7.67/2.75  % SZS status Theorem for theBenchmark.p
% 7.67/2.75  
% 7.67/2.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 7.67/2.75  
%------------------------------------------------------------------------------