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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP041^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:10:28 AM UTC 2026

% Result   : Theorem 0.22s 0.31s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   77 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  501 (  16   ~;   0   |;  12   &; 473   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :   24 (  23 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  388 ( 385 usr;  19 con; 0-4 aty)
%            Number of variables   :   77 (  77   ^;   0   !;   0   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1389752855real_c: $tType ).

thf(type_def_6,type,
    produc190496183real_c: $tType ).

thf(type_def_7,type,
    produc214722967um_c_c: $tType ).

thf(type_def_8,type,
    denota231621370t_unit: $tType ).

thf(type_def_9,type,
    produc1398711912c_real: $tType ).

thf(type_def_10,type,
    produc754691304um_c_c: $tType ).

thf(type_def_11,type,
    set_Su1783761653um_b_c: $tType ).

thf(type_def_12,type,
    set_Fi1407883041real_c: $tType ).

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

thf(type_def_14,type,
    finite1398487019real_c: $tType ).

thf(type_def_15,type,
    produc957004601l_real: $tType ).

thf(type_def_16,type,
    set_Sum_sum_c_d: $tType ).

thf(type_def_17,type,
    set_Sum_sum_c_c: $tType ).

thf(type_def_18,type,
    formula_a_b_c: $tType ).

thf(type_def_19,type,
    hp_a_b_c: $tType ).

thf(type_def_20,type,
    sum_sum_c_d: $tType ).

thf(type_def_21,type,
    sum_sum_c_c: $tType ).

thf(type_def_22,type,
    filter_real: $tType ).

thf(type_def_23,type,
    oDE_a_c: $tType ).

thf(type_def_24,type,
    set_real: $tType ).

thf(type_def_25,type,
    set_c: $tType ).

thf(type_def_26,type,
    real: $tType ).

thf(type_def_27,type,
    c: $tType ).

thf(type_def_28,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    bNF_Ca449034301c_real: set_Pr1389752855real_c > ( finite1398487019real_c > real ) > $o ).

thf(func_def_1,type,
    bNF_Ca1693016812um_c_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Sum_sum_c_c ) > $o ).

thf(func_def_2,type,
    coinci501627771_a_b_c: formula_a_b_c > $o ).

thf(func_def_3,type,
    coinci354700372_a_b_c: hp_a_b_c > denota231621370t_unit > denota231621370t_unit > $o ).

thf(func_def_4,type,
    coinci1852866155_a_b_c: hp_a_b_c > $o ).

thf(func_def_5,type,
    coinci772602909_a_b_c: hp_a_b_c > denota231621370t_unit > $o ).

thf(func_def_6,type,
    denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).

thf(func_def_7,type,
    denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).

thf(func_def_8,type,
    denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).

thf(func_def_9,type,
    denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).

thf(func_def_10,type,
    denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).

thf(func_def_11,type,
    denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).

thf(func_def_12,type,
    denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).

thf(func_def_13,type,
    denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).

thf(func_def_14,type,
    has_ve1904308670real_c: ( real > finite1398487019real_c ) > finite1398487019real_c > filter_real > $o ).

thf(func_def_15,type,
    has_ve373335844real_c: ( real > produc190496183real_c ) > produc190496183real_c > filter_real > $o ).

thf(func_def_16,type,
    has_ve217091583e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_17,type,
    uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).

thf(func_def_18,type,
    uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).

thf(func_def_19,type,
    uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).

thf(func_def_20,type,
    uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).

thf(func_def_21,type,
    uminus_uminus_c_o: ( c > $o ) > c > $o ).

thf(func_def_22,type,
    uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).

thf(func_def_23,type,
    uminus17964590real_c: produc190496183real_c > produc190496183real_c ).

thf(func_def_24,type,
    uminus856758960l_real: produc957004601l_real > produc957004601l_real ).

thf(func_def_25,type,
    uminus1629073887um_c_c: produc754691304um_c_c > produc754691304um_c_c ).

thf(func_def_26,type,
    uminus125610847c_real: produc1398711912c_real > produc1398711912c_real ).

thf(func_def_27,type,
    uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).

thf(func_def_28,type,
    uminus_uminus_real: real > real ).

thf(func_def_29,type,
    uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).

thf(func_def_30,type,
    uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).

thf(func_def_31,type,
    uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(func_def_32,type,
    uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).

thf(func_def_33,type,
    uminus_uminus_set_c: set_c > set_c ).

thf(func_def_34,type,
    zero_z109254132real_c: finite1398487019real_c ).

thf(func_def_35,type,
    zero_z1506780526real_c: produc190496183real_c ).

thf(func_def_36,type,
    zero_z659284464l_real: produc957004601l_real ).

thf(func_def_37,type,
    zero_zero_real: real ).

thf(func_def_38,type,
    the_Pr1290640446real_c: ( produc190496183real_c > $o ) > produc190496183real_c ).

thf(func_def_39,type,
    initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).

thf(func_def_40,type,
    sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(func_def_41,type,
    ord_le1382916304al_c_o: ( finite1398487019real_c > finite1398487019real_c > $o ) > ( finite1398487019real_c > finite1398487019real_c > $o ) > $o ).

thf(func_def_42,type,
    ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).

thf(func_def_43,type,
    ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).

thf(func_def_44,type,
    ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).

thf(func_def_45,type,
    ord_le132810396r_real: filter_real > filter_real > $o ).

thf(func_def_46,type,
    ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).

thf(func_def_47,type,
    ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).

thf(func_def_48,type,
    ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).

thf(func_def_49,type,
    ord_le191210632um_c_c: produc754691304um_c_c > produc754691304um_c_c > $o ).

thf(func_def_50,type,
    ord_le835231240c_real: produc1398711912c_real > produc1398711912c_real > $o ).

thf(func_def_51,type,
    ord_le684454199um_c_c: produc214722967um_c_c > produc214722967um_c_c > $o ).

thf(func_def_52,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_53,type,
    ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).

thf(func_def_54,type,
    ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).

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

thf(func_def_56,type,
    ord_le657554289um_c_c: set_set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).

thf(func_def_57,type,
    ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).

thf(func_def_58,type,
    ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).

thf(func_def_59,type,
    ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).

thf(func_def_60,type,
    ord_less_eq_set_c: set_c > set_c > $o ).

thf(func_def_61,type,
    produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).

thf(func_def_62,type,
    produc705216881l_real: real > real > produc957004601l_real ).

thf(func_def_63,type,
    produc1186709024um_c_c: real > set_Sum_sum_c_c > produc754691304um_c_c ).

thf(func_def_64,type,
    produc1528874528c_real: set_Sum_sum_c_c > real > produc1398711912c_real ).

thf(func_def_65,type,
    produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).

thf(func_def_66,type,
    collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).

thf(func_def_67,type,
    collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).

thf(func_def_68,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_69,type,
    collec95329456um_c_c: ( set_Sum_sum_c_c > $o ) > set_set_Sum_sum_c_c ).

thf(func_def_70,type,
    collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).

thf(func_def_71,type,
    collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).

thf(func_def_72,type,
    collect_c: ( c > $o ) > set_c ).

thf(func_def_73,type,
    image_1467045143um_c_c: ( produc190496183real_c > sum_sum_c_c ) > set_Pr1389752855real_c > set_Sum_sum_c_c ).

thf(func_def_74,type,
    image_1475306648um_c_d: ( produc190496183real_c > sum_sum_c_d ) > set_Pr1389752855real_c > set_Sum_sum_c_d ).

thf(func_def_75,type,
    image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).

thf(func_def_76,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_77,type,
    image_1146069259real_c: ( sum_sum_c_c > produc190496183real_c ) > set_Sum_sum_c_c > set_Pr1389752855real_c ).

thf(func_def_78,type,
    image_666880337um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(func_def_79,type,
    image_675141842um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > set_Sum_sum_c_d ).

thf(func_def_80,type,
    image_1980705354real_c: ( sum_sum_c_d > produc190496183real_c ) > set_Sum_sum_c_d > set_Pr1389752855real_c ).

thf(func_def_81,type,
    image_1558941394um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > set_Sum_sum_c_c ).

thf(func_def_82,type,
    image_1567202899um_c_d: ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > set_Sum_sum_c_d ).

thf(func_def_83,type,
    image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).

thf(func_def_84,type,
    image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).

thf(func_def_85,type,
    set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).

thf(func_def_86,type,
    set_or656347191t_real: real > real > set_real ).

thf(func_def_87,type,
    set_or935154662um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_set_Sum_sum_c_c ).

thf(func_def_88,type,
    set_or2003963744real_c: finite1398487019real_c > set_Fi1407883041real_c ).

thf(func_def_89,type,
    set_or10334466real_c: produc190496183real_c > set_Pr1389752855real_c ).

thf(func_def_90,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_91,type,
    set_or2028906832um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).

thf(func_def_92,type,
    set_or1478397028real_c: finite1398487019real_c > set_Fi1407883041real_c ).

thf(func_def_93,type,
    set_or248124158real_c: produc190496183real_c > set_Pr1389752855real_c ).

thf(func_def_94,type,
    set_ord_atMost_real: real > set_real ).

thf(func_def_95,type,
    set_or326480468um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).

thf(func_def_96,type,
    static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).

thf(func_def_97,type,
    static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).

thf(func_def_98,type,
    static_FVO_a_c: oDE_a_c > set_c ).

thf(func_def_99,type,
    static_SIGF_a_b_c: formula_a_b_c > set_Su1783761653um_b_c ).

thf(func_def_100,type,
    sum_Inl_c_c: c > sum_sum_c_c ).

thf(func_def_101,type,
    sum_Inl_c_d: c > sum_sum_c_d ).

thf(func_def_102,type,
    sum_Inr_c_c: c > sum_sum_c_c ).

thf(func_def_103,type,
    equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).

thf(func_def_104,type,
    implies_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).

thf(func_def_105,type,
    oDE_dom_a_c: oDE_a_c > set_c ).

thf(func_def_106,type,
    fsafe_a_b_c: formula_a_b_c > $o ).

thf(func_def_107,type,
    evolveODE_a_c_b: oDE_a_c > formula_a_b_c > hp_a_b_c ).

thf(func_def_108,type,
    hpsafe_a_b_c: hp_a_b_c > $o ).

thf(func_def_109,type,
    osafe_a_c: oDE_a_c > $o ).

thf(func_def_110,type,
    topolo1830106092n_real: real > set_real > filter_real ).

thf(func_def_111,type,
    member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).

thf(func_def_112,type,
    member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).

thf(func_def_113,type,
    member_real: real > set_real > $o ).

thf(func_def_114,type,
    member2124950898um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).

thf(func_def_115,type,
    member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).

thf(func_def_116,type,
    member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).

thf(func_def_117,type,
    member_c: c > set_c > $o ).

thf(func_def_118,type,
    i: denota231621370t_unit ).

thf(func_def_119,type,
    j: denota231621370t_unit ).

thf(func_def_120,type,
    ode: oDE_a_c ).

thf(func_def_121,type,
    p: formula_a_b_c ).

thf(func_def_122,type,
    v: set_Sum_sum_c_c ).

thf(func_def_123,type,
    a: finite1398487019real_c ).

thf(func_def_124,type,
    aa: finite1398487019real_c ).

thf(func_def_125,type,
    ab: finite1398487019real_c ).

thf(func_def_126,type,
    b: finite1398487019real_c ).

thf(func_def_127,type,
    ba: finite1398487019real_c ).

thf(func_def_128,type,
    bb: finite1398487019real_c ).

thf(func_def_129,type,
    s: real ).

thf(func_def_130,type,
    sol: real > finite1398487019real_c ).

thf(func_def_131,type,
    t: real ).

thf(func_def_135,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_136,type,
    vAND: $o > $o > $o ).

thf(func_def_137,type,
    vNOT: $o > $o ).

thf(func_def_138,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_139,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_140,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_141,type,
    vIMP: $o > $o > $o ).

thf(func_def_142,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_143,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_144,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_145,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_146,type,
    vOR: $o > $o > $o ).

thf(func_def_147,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_148,type,
    sP0: real > real > real > $o ).

thf(func_def_149,type,
    sP1: real > real > real > $o ).

thf(func_def_150,type,
    sP2: real > real > real > $o ).

thf(func_def_151,type,
    sK3: finite1398487019real_c > oDE_a_c > denota231621370t_unit > produc190496183real_c > produc190496183real_c ).

thf(func_def_152,type,
    sK4: produc190496183real_c > finite1398487019real_c ).

thf(func_def_153,type,
    sK5: produc190496183real_c > finite1398487019real_c ).

thf(func_def_154,type,
    sK6: ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(func_def_155,type,
    sK7: ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(func_def_156,type,
    sK8: ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(func_def_157,type,
    sK9: ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(func_def_158,type,
    sK10: produc190496183real_c > finite1398487019real_c ).

thf(func_def_159,type,
    sK11: produc190496183real_c > finite1398487019real_c ).

thf(func_def_160,type,
    sK12: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_161,type,
    sK13: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_162,type,
    sK14: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_163,type,
    sK15: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(func_def_164,type,
    sK16: ( c > $o ) > ( c > $o ) > c ).

thf(func_def_165,type,
    sK17: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(func_def_166,type,
    sK18: ( c > $o ) > ( c > $o ) > c ).

thf(func_def_167,type,
    sK19: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_168,type,
    sK20: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_169,type,
    sK21: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_170,type,
    sK22: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_171,type,
    sK23: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_172,type,
    sK24: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_173,type,
    sK25: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_174,type,
    sK26: ( real > real ) > real ).

thf(func_def_175,type,
    sK27: ( real > real ) > real ).

thf(func_def_176,type,
    sK28: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_177,type,
    sK29: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_178,type,
    sK30: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_179,type,
    sK31: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_180,type,
    sK32: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_181,type,
    sK33: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_182,type,
    sK34: ( real > real ) > real ).

thf(func_def_183,type,
    sK35: ( real > real ) > real ).

thf(func_def_184,type,
    sK36: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_185,type,
    sK37: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_186,type,
    sK38: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_187,type,
    sK39: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_188,type,
    sK40: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_189,type,
    sK41: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_190,type,
    sK42: ( real > real ) > real ).

thf(func_def_191,type,
    sK43: ( real > real ) > real ).

thf(func_def_192,type,
    sK44: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_193,type,
    sK45: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).

thf(func_def_194,type,
    sK46: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_195,type,
    sK47: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).

thf(func_def_196,type,
    sK48: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_197,type,
    sK49: ( real > set_Sum_sum_c_c ) > real ).

thf(func_def_198,type,
    sK50: ( real > real ) > real ).

thf(func_def_199,type,
    sK51: ( real > real ) > real ).

thf(func_def_200,type,
    sK52: ( real > real > $o ) > real ).

thf(func_def_201,type,
    sK53: ( real > real > $o ) > real ).

thf(func_def_202,type,
    sK54: ( real > real > $o ) > real ).

thf(func_def_203,type,
    sK55: ( real > real > $o ) > real ).

thf(func_def_204,type,
    sK56: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).

thf(func_def_205,type,
    sK57: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).

thf(func_def_206,type,
    sK58: ( real > finite1398487019real_c ) > set_real > ( real > finite1398487019real_c ) > real ).

thf(func_def_207,type,
    sK59: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_208,type,
    sK60: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_209,type,
    sK61: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > set_Fi1407883041real_c > finite1398487019real_c ).

thf(func_def_210,type,
    sK62: ( c > $o ) > ( c > $o ) > set_c > c ).

thf(func_def_211,type,
    sK63: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_212,type,
    sK64: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c ).

thf(func_def_213,type,
    sK65: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c ).

thf(func_def_214,type,
    sK66: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(func_def_215,type,
    sK67: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).

thf(func_def_216,type,
    sK68: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).

thf(func_def_217,type,
    sK69: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_218,type,
    sK70: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_219,type,
    sK71: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_220,type,
    sK72: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_221,type,
    sK73: set_Sum_sum_c_d > ( produc190496183real_c > sum_sum_c_d ) > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_222,type,
    sK74: set_Pr1389752855real_c > ( sum_sum_c_c > produc190496183real_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_223,type,
    sK75: set_Pr1389752855real_c > ( sum_sum_c_d > produc190496183real_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_224,type,
    sK76: set_Sum_sum_c_c > ( produc190496183real_c > sum_sum_c_c ) > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_225,type,
    sK77: ( sum_sum_c_c > $o ) > set_c > ( c > sum_sum_c_c ) > c ).

thf(func_def_226,type,
    sK78: ( sum_sum_c_d > $o ) > set_c > ( c > sum_sum_c_d ) > c ).

thf(func_def_227,type,
    sK79: ( c > sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).

thf(func_def_228,type,
    sK80: ( c > sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).

thf(func_def_229,type,
    sK81: ( c > sum_sum_c_d ) > sum_sum_c_d > set_c > c ).

thf(func_def_230,type,
    sK82: ( c > sum_sum_c_c ) > sum_sum_c_c > set_c > c ).

thf(func_def_231,type,
    sK83: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_232,type,
    sK84: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_233,type,
    sK85: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_234,type,
    sK86: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).

thf(func_def_235,type,
    sK87: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).

thf(func_def_236,type,
    sK88: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).

thf(func_def_237,type,
    sK89: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).

thf(func_def_238,type,
    sK90: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > c ).

thf(func_def_239,type,
    sK91: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_240,type,
    sK92: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > c ).

thf(func_def_241,type,
    sK93: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_242,type,
    sK94: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(func_def_243,type,
    sK95: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_244,type,
    sK96: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_245,type,
    sK97: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > set_c ).

thf(func_def_246,type,
    sK98: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).

thf(func_def_247,type,
    sK99: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > sum_sum_c_c ).

thf(func_def_248,type,
    sK100: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > set_c ).

thf(func_def_249,type,
    sK101: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).

thf(func_def_250,type,
    sK102: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > sum_sum_c_d ).

thf(func_def_251,type,
    sK103: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_252,type,
    sK104: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_253,type,
    sK105: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_254,type,
    sK106: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_255,type,
    sK107: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_256,type,
    sK108: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_257,type,
    sK109: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_258,type,
    sK110: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_259,type,
    sK111: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_260,type,
    sK112: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_261,type,
    sK113: ( produc190496183real_c > $o ) > set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_262,type,
    sK114: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_263,type,
    sK115: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_264,type,
    sK116: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_265,type,
    sK117: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_266,type,
    sK118: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_267,type,
    sK119: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_268,type,
    sK120: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_269,type,
    sK121: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_270,type,
    sK122: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_271,type,
    sK123: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_272,type,
    sK124: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_273,type,
    sK125: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_274,type,
    sK126: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_275,type,
    sK127: set_Sum_sum_c_c > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_276,type,
    sK128: set_c > ( c > $o ) > c ).

thf(func_def_277,type,
    sK129: set_Fi1407883041real_c > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(func_def_278,type,
    sK130: set_Sum_sum_c_d > ( sum_sum_c_d > $o ) > sum_sum_c_d ).

thf(func_def_279,type,
    sK131: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_280,type,
    sK132: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_281,type,
    sK133: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_282,type,
    sK134: set_Sum_sum_c_d > set_Sum_sum_c_d > ( sum_sum_c_d > $o ) > sum_sum_c_d ).

thf(func_def_283,type,
    sK135: set_Pr1389752855real_c > ( produc190496183real_c > $o ) > produc190496183real_c ).

thf(func_def_284,type,
    sK136: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_285,type,
    sK137: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_286,type,
    sK138: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_287,type,
    sK139: set_Pr1389752855real_c > set_Pr1389752855real_c > ( produc190496183real_c > $o ) > produc190496183real_c ).

thf(func_def_288,type,
    sK140: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_289,type,
    sK141: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_290,type,
    sK142: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_291,type,
    sK143: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_292,type,
    sK144: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_293,type,
    sK145: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_294,type,
    sK146: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_295,type,
    sK147: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_296,type,
    sK148: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_297,type,
    sK149: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_298,type,
    sK150: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_299,type,
    sK151: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_300,type,
    sK152: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_301,type,
    sK153: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_302,type,
    sK154: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_303,type,
    sK155: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_304,type,
    sK156: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_305,type,
    sK157: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_306,type,
    sK158: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_307,type,
    sK159: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_308,type,
    sK160: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_309,type,
    sK161: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_310,type,
    sK162: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_311,type,
    sK163: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_312,type,
    sK164: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_313,type,
    sK165: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_314,type,
    sK166: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_315,type,
    sK167: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_316,type,
    sK168: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_317,type,
    sK169: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_318,type,
    sK170: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_319,type,
    sK171: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_320,type,
    sK172: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_321,type,
    sK173: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_322,type,
    sK174: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_323,type,
    sK175: ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_324,type,
    sK176: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_325,type,
    sK177: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_326,type,
    sK178: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_327,type,
    sK179: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_328,type,
    sK180: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_329,type,
    sK181: ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_330,type,
    sK182: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_331,type,
    sK183: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_332,type,
    sK184: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_333,type,
    sK185: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_334,type,
    sK186: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_335,type,
    sK187: set_Sum_sum_c_c > real > ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_336,type,
    sK188: ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_337,type,
    sK189: set_Sum_sum_c_c > real > ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_338,type,
    sK190: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_339,type,
    sK191: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_340,type,
    sK192: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_341,type,
    sK193: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_342,type,
    sK194: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_343,type,
    sK195: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_344,type,
    sK196: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_345,type,
    sK197: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_346,type,
    sK198: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_347,type,
    sK199: ( real > set_Sum_sum_c_c ) > set_Sum_sum_c_c > real > sum_sum_c_c ).

thf(func_def_348,type,
    sK200: ( real > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_349,type,
    sK201: ( real > set_Sum_sum_c_c ) > set_Sum_sum_c_c > real > sum_sum_c_c ).

thf(func_def_350,type,
    sK202: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_351,type,
    sK203: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_352,type,
    sK204: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > sum_sum_c_c ).

thf(func_def_353,type,
    sK205: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_354,type,
    sK206: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_355,type,
    sK207: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_356,type,
    sK208: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_357,type,
    sK209: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_358,type,
    sK210: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_359,type,
    sK211: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_360,type,
    sK212: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_361,type,
    sK213: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_362,type,
    sK214: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_363,type,
    sK215: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_364,type,
    sK216: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_365,type,
    sK217: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_366,type,
    sK218: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_367,type,
    sK219: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_368,type,
    sK220: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_369,type,
    sK221: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_370,type,
    sK222: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_371,type,
    sK223: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_372,type,
    sK224: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(func_def_373,type,
    sK225: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(func_def_374,type,
    sK226: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_375,type,
    sK227: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_376,type,
    sK228: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_377,type,
    sK229: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).

thf(func_def_378,type,
    sK230: ( c > $o ) > ( c > $o ) > c ).

thf(func_def_379,type,
    sK231: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(func_def_380,type,
    sK232: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_381,type,
    sK233: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_382,type,
    sK234: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_383,type,
    sK235: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_384,type,
    sK236: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_385,type,
    sK237: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(func_def_386,type,
    sK238: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(f2,axiom,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
    & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062Vagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Imk__xode_AJ_AODE_A_Isol_As_J_J_A_IsemBV_AJ_AODE_J_092_060close_062) ).

thf(f211,axiom,
    ( uminus1381786404um_c_c
    = ( ^ [X0: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ^ [X1: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ X1 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_Compl__eq) ).

thf(f221,axiom,
    ( denota1896987029_a_b_c
    = ( ^ [X0: denota231621370t_unit,X1: oDE_a_c,X2: finite1398487019real_c] : ( produc394644079real_c @ X2 @ ( denota1275485728_a_b_c @ X0 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_mk__xode_Osimps) ).

thf(f233,axiom,
    ( denota161327353_a_b_c
    = ( ^ [X0: denota231621370t_unit,X1: oDE_a_c,X2: produc190496183real_c,X3: finite1398487019real_c] :
          ( the_Pr1290640446real_c
          @ ^ [X4: produc190496183real_c] :
              ( ( denota1997846518gree_c @ X4 @ ( denota1896987029_a_b_c @ X0 @ X1 @ X3 ) @ ( denota1293057250_a_b_c @ X0 @ X1 ) )
              & ( denota1997846518gree_c @ X4 @ X2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ X0 @ X1 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_mk__v__def) ).

thf(f353,conjecture,
    denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f354,negated_conjecture,
    ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
    inference(negated_conjecture,[status(cth)],[f353]) ).

thf(f357,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
    & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f358,plain,
    ( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
      = $true )
    & ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
      = $true ) ),
    inference(fool_elimination,[],[f357]) ).

thf(f691,plain,
    ( uminus1381786404um_c_c
    = ( ^ [X0: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ^ [X1: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ X1 @ X0 ) ) ) ),
    inference(rectify,[],[f211]) ).

thf(f692,plain,
    ( uminus1381786404um_c_c
    = ( ^ [Y0: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ^ [Y1: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ Y1 @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f691]) ).

thf(f709,plain,
    ( denota1896987029_a_b_c
    = ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: finite1398487019real_c] : ( produc394644079real_c @ Y2 @ ( denota1275485728_a_b_c @ Y0 @ Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f221]) ).

thf(f732,plain,
    ( denota161327353_a_b_c
    = ( ^ [X0: denota231621370t_unit,X1: oDE_a_c,X2: produc190496183real_c,X3: finite1398487019real_c] :
          ( the_Pr1290640446real_c
          @ ^ [X4: produc190496183real_c] :
              ( ( denota1997846518gree_c @ X4 @ ( denota1896987029_a_b_c @ X0 @ X1 @ X3 ) @ ( denota1293057250_a_b_c @ X0 @ X1 ) )
              & ( denota1997846518gree_c @ X4 @ X2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ X0 @ X1 ) ) ) ) ) ) ),
    inference(rectify,[],[f233]) ).

thf(f733,plain,
    ( denota161327353_a_b_c
    = ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: produc190496183real_c,Y3: finite1398487019real_c] :
          ( the_Pr1290640446real_c
          @ ^ [Y4: produc190496183real_c] :
              ( ( denota1997846518gree_c @ Y4 @ Y2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) )
              & ( denota1997846518gree_c @ Y4 @ ( denota1896987029_a_b_c @ Y0 @ Y1 @ Y3 ) @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f732]) ).

thf(f943,plain,
    ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
    inference(rectify,[],[f354]) ).

thf(f944,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
   != $true ),
    inference(fool_elimination,[],[f943]) ).

thf(f957,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
   != $true ),
    inference(flattening,[],[f944]) ).

thf(f1274,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
    = $true ),
    inference(cnf_transformation,[],[f358]) ).

thf(f1525,plain,
    ( uminus1381786404um_c_c
    = ( ^ [Y0: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ^ [Y1: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ Y1 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f692]) ).

thf(f1535,plain,
    ( denota1896987029_a_b_c
    = ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: finite1398487019real_c] : ( produc394644079real_c @ Y2 @ ( denota1275485728_a_b_c @ Y0 @ Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f709]) ).

thf(f1547,plain,
    ( denota161327353_a_b_c
    = ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: produc190496183real_c,Y3: finite1398487019real_c] :
          ( the_Pr1290640446real_c
          @ ^ [Y4: produc190496183real_c] :
              ( ( denota1997846518gree_c @ Y4 @ Y2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) )
              & ( denota1997846518gree_c @ Y4 @ ( denota1896987029_a_b_c @ Y0 @ Y1 @ Y3 ) @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f733]) ).

thf(f1696,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
   != $true ),
    inference(cnf_transformation,[],[f957]) ).

thf(f1701,plain,
    ( denota161327353_a_b_c
    = ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: produc190496183real_c,Y3: finite1398487019real_c] :
          ( the_Pr1290640446real_c
          @ ^ [Y4: produc190496183real_c] :
              ( ( denota1997846518gree_c @ Y4 @ Y2
                @ ( ^ [Y5: set_Sum_sum_c_c] :
                      ( collect_Sum_sum_c_c
                      @ ^ [Y6: sum_sum_c_c] :
                          ~ ( member_Sum_sum_c_c @ Y6 @ Y5 ) )
                  @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) )
              & ( denota1997846518gree_c @ Y4
                @ ( ^ [Y5: denota231621370t_unit,Y6: oDE_a_c,Y7: finite1398487019real_c] : ( produc394644079real_c @ Y7 @ ( denota1275485728_a_b_c @ Y5 @ Y6 @ Y7 ) )
                  @ Y0
                  @ Y1
                  @ Y3 )
                @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f1547,f1525,f1535]) ).

thf(f1703,plain,
    ( $true
    = ( denota1997846518gree_c
      @ ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: produc190496183real_c,Y3: finite1398487019real_c] :
            ( the_Pr1290640446real_c
            @ ^ [Y4: produc190496183real_c] :
                ( ( denota1997846518gree_c @ Y4 @ Y2
                  @ ( ^ [Y5: set_Sum_sum_c_c] :
                        ( collect_Sum_sum_c_c
                        @ ^ [Y6: sum_sum_c_c] :
                            ~ ( member_Sum_sum_c_c @ Y6 @ Y5 ) )
                    @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) )
                & ( denota1997846518gree_c @ Y4
                  @ ( ^ [Y5: denota231621370t_unit,Y6: oDE_a_c,Y7: finite1398487019real_c] : ( produc394644079real_c @ Y7 @ ( denota1275485728_a_b_c @ Y5 @ Y6 @ Y7 ) )
                    @ Y0
                    @ Y1
                    @ Y3 )
                  @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) ) )
        @ j
        @ ode
        @ ( produc394644079real_c @ aa @ ba )
        @ ( sol @ s ) )
      @ ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: finite1398487019real_c] : ( produc394644079real_c @ Y2 @ ( denota1275485728_a_b_c @ Y0 @ Y1 @ Y2 ) )
        @ j
        @ ode
        @ ( sol @ s ) )
      @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
    inference(definition_unfolding,[],[f1274,f1701,f1535]) ).

thf(f1911,plain,
    ( $true
   != ( denota1997846518gree_c
      @ ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: produc190496183real_c,Y3: finite1398487019real_c] :
            ( the_Pr1290640446real_c
            @ ^ [Y4: produc190496183real_c] :
                ( ( denota1997846518gree_c @ Y4 @ Y2
                  @ ( ^ [Y5: set_Sum_sum_c_c] :
                        ( collect_Sum_sum_c_c
                        @ ^ [Y6: sum_sum_c_c] :
                            ~ ( member_Sum_sum_c_c @ Y6 @ Y5 ) )
                    @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) )
                & ( denota1997846518gree_c @ Y4
                  @ ( ^ [Y5: denota231621370t_unit,Y6: oDE_a_c,Y7: finite1398487019real_c] : ( produc394644079real_c @ Y7 @ ( denota1275485728_a_b_c @ Y5 @ Y6 @ Y7 ) )
                    @ Y0
                    @ Y1
                    @ Y3 )
                  @ ( denota1293057250_a_b_c @ Y0 @ Y1 ) ) ) )
        @ j
        @ ode
        @ ( produc394644079real_c @ aa @ ba )
        @ ( sol @ s ) )
      @ ( ^ [Y0: denota231621370t_unit,Y1: oDE_a_c,Y2: finite1398487019real_c] : ( produc394644079real_c @ Y2 @ ( denota1275485728_a_b_c @ Y0 @ Y1 @ Y2 ) )
        @ j
        @ ode
        @ ( sol @ s ) )
      @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
    inference(definition_unfolding,[],[f1696,f1701,f1535]) ).

thf(f1955,plain,
    ( $true
   != ( denota1997846518gree_c
      @ ( the_Pr1290640446real_c
        @ ^ [Y0: produc190496183real_c] :
            ( ( denota1997846518gree_c @ Y0 @ ( produc394644079real_c @ aa @ ba )
              @ ( collect_Sum_sum_c_c
                @ ^ [Y1: sum_sum_c_c] :
                    ~ ( member_Sum_sum_c_c @ Y1 @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
            & ( denota1997846518gree_c @ Y0 @ ( produc394644079real_c @ ( sol @ s ) @ ( denota1275485728_a_b_c @ j @ ode @ ( sol @ s ) ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
      @ ( produc394644079real_c @ ( sol @ s ) @ ( denota1275485728_a_b_c @ j @ ode @ ( sol @ s ) ) )
      @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
    inference(beta-eta_normalization,[],[f1911]) ).

thf(f3743,plain,
    ( $true
    = ( denota1997846518gree_c
      @ ( the_Pr1290640446real_c
        @ ^ [Y0: produc190496183real_c] :
            ( ( denota1997846518gree_c @ Y0 @ ( produc394644079real_c @ aa @ ba )
              @ ( collect_Sum_sum_c_c
                @ ^ [Y1: sum_sum_c_c] :
                    ~ ( member_Sum_sum_c_c @ Y1 @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
            & ( denota1997846518gree_c @ Y0 @ ( produc394644079real_c @ ( sol @ s ) @ ( denota1275485728_a_b_c @ j @ ode @ ( sol @ s ) ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
      @ ( produc394644079real_c @ ( sol @ s ) @ ( denota1275485728_a_b_c @ j @ ode @ ( sol @ s ) ) )
      @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
    inference(beta-eta_normalization,[],[f1703]) ).

thf(f3746,plain,
    $false,
    inference(global_subsumption,[],[f3743,f1955]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP041^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n013.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 19:39:52 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.31  % (2560206)Will run a generic schedule for satisfiability detection.
% 0.22/0.31  % (2560222)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3049534051:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.31  % (2560221)% WARNING: option uhcvi not known.
% 0.22/0.31  % (2560221)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2497693561:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.31  % (2560220)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2726032647_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.31  % (2560223)dis+10_1_sil=32000:sp=arity:random_seed=3066975586:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.31  % (2560225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=444297460:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.31  % (2560227)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=129500286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.31  % (2560226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1473140150:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.31  % (2560221)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.31  % (2560225)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.31  % (2560222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2560206-2560222"...
% 0.22/0.31  % (2560223)Instruction limit reached! 
% 0.22/0.31  % (2560223)------------------------------
% 0.22/0.31  % (2560223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31  % (2560223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31  % (2560223)CaDiCaL version: 2.1.3
% 0.22/0.31  % (2560223)Termination reason: Instruction limit
% 0.22/0.31  % (2560223)Termination phase: Property scanning
% 0.22/0.31  % (2560223)Time elapsed: 0.043 s
% 0.22/0.31  % (2560223)Peak memory usage: 11 MB
% 0.22/0.31  % (2560223)Instructions burned: 103 (million)
% 0.22/0.31  % (2560222)...printing done.
% 0.22/0.31  % (2560222)Refutation found. Thanks to Tanya!
% 0.22/0.31  % SZS status Theorem for theBenchmark
% 0.22/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31  % (2560222)------------------------------
% 0.22/0.31  % (2560222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31  % (2560222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31  % (2560222)CaDiCaL version: 2.1.3
% 0.22/0.31  % (2560222)Termination reason: Refutation
% 0.22/0.31  % (2560222)Time elapsed: 0.050 s
% 0.22/0.31  % (2560222)Peak memory usage: 14 MB
% 0.22/0.31  % (2560222)Instructions burned: 209 (million)
% 0.22/0.31  % (2560206)Success in time 0.086 s
% 0.22/0.31  % Vampire exiting
%------------------------------------------------------------------------------