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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP001_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 : Tue Sep 29 11:33:52 AM UTC 2026

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   21 (  10   ~;   7   |;   3   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :  123 ( 123 usr;  41 con; 0-4 aty)
%            Number of variables   :    6 (   4   !;   2   ?;   6   :)

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

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

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

tff(type_def_8,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

tff(type_def_9,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(type_def_10,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(type_def_11,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(type_def_12,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: $tType ).

tff(func_def_0,type,
    tyop_2Emin_2Ebool: d ).

tff(func_def_1,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(func_def_2,type,
    s: ( d * u ) > du ).

tff(func_def_3,type,
    app_2E2: ( du * du ) > u ).

tff(func_def_4,type,
    combin_i_2E0: u ).

tff(func_def_5,type,
    combin_k_2E0: u ).

tff(func_def_6,type,
    combin_s_2E0: u ).

tff(func_def_7,type,
    c_2Ebool_2E_21_2E0: u ).

tff(func_def_8,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(func_def_9,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(func_def_10,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(func_def_11,type,
    c_2Emin_2E_3D_2E0: u ).

tff(func_def_12,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(func_def_13,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(func_def_14,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(func_def_15,type,
    c_2Ebool_2E_3F_2E0: u ).

tff(func_def_16,type,
    c_2Ebool_2E_3F_2E1: du > u ).

tff(func_def_17,type,
    c_2Ebool_2EF_2E0: u ).

tff(func_def_18,type,
    c_2Ebool_2ET_2E0: u ).

tff(func_def_19,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(func_def_20,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(func_def_21,type,
    c_2Ebool_2E_7E_2E0: u ).

tff(func_def_22,type,
    c_2Ebool_2E_7E_2E1: du > u ).

tff(func_def_23,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_24,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_25,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_26,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_27,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_28,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_29,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_30,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_31,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_32,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_33,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_34,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_35,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(func_def_36,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).

tff(func_def_37,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(func_def_38,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_39,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_40,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_41,type,
    tyop_2Emin_2Eind: d ).

tff(func_def_42,type,
    c_2Ebool_2E_3F_21_2E0: u ).

tff(func_def_43,type,
    c_2Ebool_2E_3F_21_2E1: du > u ).

tff(func_def_44,type,
    c_2Emin_2E_40_2E0: u ).

tff(func_def_45,type,
    c_2Emin_2E_40_2E1: du > u ).

tff(func_def_46,type,
    c_2Ebool_2EBOUNDED_2E0: u ).

tff(func_def_47,type,
    c_2Ebool_2EBOUNDED_2E1: du > u ).

tff(func_def_48,type,
    c_2Ebool_2ECOND_2E0: u ).

tff(func_def_49,type,
    c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).

tff(func_def_50,type,
    c_2Ebool_2EDATATYPE_2E0: u ).

tff(func_def_51,type,
    c_2Ebool_2EDATATYPE_2E1: du > u ).

tff(func_def_52,type,
    c_2Ebool_2EIN_2E0: u ).

tff(func_def_53,type,
    c_2Ebool_2EIN_2E2: ( du * du ) > u ).

tff(func_def_54,type,
    c_2Ebool_2ELET_2E0: u ).

tff(func_def_55,type,
    c_2Ebool_2ELET_2E2: ( du * du ) > u ).

tff(func_def_56,type,
    c_2Ebool_2EONE__ONE_2E0: u ).

tff(func_def_57,type,
    c_2Ebool_2EONE__ONE_2E1: du > u ).

tff(func_def_58,type,
    c_2Ebool_2EONTO_2E0: u ).

tff(func_def_59,type,
    c_2Ebool_2EONTO_2E1: du > u ).

tff(func_def_60,type,
    c_2Ebool_2ERES__EXISTS_2E0: u ).

tff(func_def_61,type,
    c_2Ebool_2ERES__EXISTS_2E2: ( du * du ) > u ).

tff(func_def_62,type,
    c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: u ).

tff(func_def_63,type,
    c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: ( du * du ) > u ).

tff(func_def_64,type,
    c_2Ebool_2ERES__FORALL_2E0: u ).

tff(func_def_65,type,
    c_2Ebool_2ERES__FORALL_2E2: ( du * du ) > u ).

tff(func_def_66,type,
    c_2Ebool_2ERES__SELECT_2E0: u ).

tff(func_def_67,type,
    c_2Ebool_2ERES__SELECT_2E2: ( du * du ) > u ).

tff(func_def_68,type,
    c_2Ebool_2ETYPE__DEFINITION_2E0: u ).

tff(func_def_69,type,
    c_2Ebool_2ETYPE__DEFINITION_2E2: ( du * du ) > u ).

tff(func_def_70,type,
    c_2Ebool_2Eliteral__case_2E0: u ).

tff(func_def_71,type,
    c_2Ebool_2Eliteral__case_2E2: ( du * du ) > u ).

tff(func_def_72,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_73,type,
    mono_2Ec_2Ebool_2EBOUNDED_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_74,type,
    mono_2Ec_2Ebool_2EBOUNDED_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_75,type,
    mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_76,type,
    mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_77,type,
    mono_2Ec_2Ebool_2EONTO_2E0_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_78,type,
    mono_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_79,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(func_def_80,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 > u ).

tff(func_def_81,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_82,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).

tff(func_def_83,type,
    sK2: ( d * d * u * u ) > u ).

tff(func_def_84,type,
    sK3: ( d * u ) > u ).

tff(func_def_85,type,
    sK4: ( d * u ) > u ).

tff(func_def_86,type,
    sK5: ( d * d * u * u ) > u ).

tff(func_def_87,type,
    sK6: ( d * u ) > u ).

tff(func_def_88,type,
    sK7: ( d * u ) > u ).

tff(func_def_89,type,
    sK8: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 ).

tff(func_def_90,type,
    sK9: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_91,type,
    sK10: ( d * u ) > u ).

tff(func_def_92,type,
    sK11: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_93,type,
    sK12: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_94,type,
    sK13: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_95,type,
    sK14: ( d * u ) > u ).

tff(func_def_96,type,
    sK15: ( d * u ) > u ).

tff(func_def_97,type,
    sK16: ( d * u ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_98,type,
    sK17: ( d * u ) > u ).

tff(func_def_99,type,
    sK18: ( d * u ) > u ).

tff(func_def_100,type,
    sK19: ( d * u ) > u ).

tff(func_def_101,type,
    sK20: ( d * d * u ) > u ).

tff(func_def_102,type,
    sK21: ( d * d * u ) > u ).

tff(func_def_103,type,
    sK22: ( d * d * u ) > u ).

tff(func_def_104,type,
    sK23: ( d * d * u * u ) > u ).

tff(func_def_105,type,
    sK24: ( d * d * u ) > u ).

tff(func_def_106,type,
    sK25: ( d * d * u ) > u ).

tff(func_def_107,type,
    sK26: ( d * d * u * u ) > u ).

tff(func_def_108,type,
    sK27: ( d * d * u * u ) > u ).

tff(func_def_109,type,
    sK28: ( d * d * u * u ) > u ).

tff(func_def_110,type,
    sK29: ( d * u * u ) > u ).

tff(func_def_111,type,
    sK30: ( d * u * u ) > u ).

tff(func_def_112,type,
    sK31: ( d * u ) > u ).

tff(func_def_113,type,
    sK32: ( d * u ) > u ).

tff(func_def_114,type,
    sK33: ( d * u ) > u ).

tff(func_def_115,type,
    sK34: ( d * u ) > u ).

tff(func_def_116,type,
    sK35: ( d * u ) > u ).

tff(func_def_117,type,
    sK36: ( d * u * u ) > u ).

tff(func_def_118,type,
    sK37: ( d * u * u ) > u ).

tff(func_def_119,type,
    sK38: ( d * u * u ) > u ).

tff(func_def_120,type,
    sK39: ( d * u ) > u ).

tff(func_def_121,type,
    sK40: ( d * u ) > u ).

tff(func_def_122,type,
    sK41: ( d * u ) > u ).

tff(pred_def_1,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

tff(pred_def_2,type,
    sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_3,type,
    sP1: ( d * u ) > $o ).

tff(f91,axiom,
    ( p(mono_2Ec_2Ebool_2ET_2E0)
  <=> ! [X0: mono_2Etyop_2Emin_2Ebool] : ( X0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).

tff(f112,conjecture,
    p(mono_2Ec_2Ebool_2ET_2E0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

tff(f113,negated_conjecture,
    ~ p(mono_2Ec_2Ebool_2ET_2E0),
    inference(negated_conjecture,[status(cth)],[f112]) ).

tff(f117,plain,
    ~ p(mono_2Ec_2Ebool_2ET_2E0),
    inference(flattening,[],[f113]) ).

tff(f194,plain,
    ( ( p(mono_2Ec_2Ebool_2ET_2E0)
      | ? [X0: mono_2Etyop_2Emin_2Ebool] : ( X0 != X0 ) )
    & ( ! [X0: mono_2Etyop_2Emin_2Ebool] : ( X0 = X0 )
      | ~ p(mono_2Ec_2Ebool_2ET_2E0) ) ),
    inference(nnf_transformation,[],[f91]) ).

tff(f195,plain,
    ( ( p(mono_2Ec_2Ebool_2ET_2E0)
      | ? [X0: mono_2Etyop_2Emin_2Ebool] : ( X0 != X0 ) )
    & ( ! [X1: mono_2Etyop_2Emin_2Ebool] : ( X1 = X1 )
      | ~ p(mono_2Ec_2Ebool_2ET_2E0) ) ),
    inference(rectify,[],[f194]) ).

tff(f196,plain,
    ( ( p(mono_2Ec_2Ebool_2ET_2E0)
      | ( sK9 != sK9 ) )
    & ( ! [X1: mono_2Etyop_2Emin_2Ebool] : ( X1 = X1 )
      | ~ p(mono_2Ec_2Ebool_2ET_2E0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f195]) ).

tff(f380,plain,
    ( p(mono_2Ec_2Ebool_2ET_2E0)
    | ( sK9 != sK9 ) ),
    inference(cnf_transformation,[],[f196]) ).

tff(f450,plain,
    ~ p(mono_2Ec_2Ebool_2ET_2E0),
    inference(cnf_transformation,[],[f117]) ).

tff(f457,plain,
    p(mono_2Ec_2Ebool_2ET_2E0),
    inference(trivial_inequality_removal,[],[f380]) ).

tff(f462,plain,
    $false,
    inference(global_subsumption,[],[f457,f450]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP001_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40  % Computer : n010.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 11:47:46 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44  Running first-order model finding
% 0.13/0.44  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
% 0.18/0.50  % (825143)Will run a generic schedule for satisfiability detection.
% 0.18/0.50  % (825150)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=675945977:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50  % (825149)% WARNING: option uhcvi not known.
% 0.18/0.50  % (825150) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-825143-825150"...
% 0.18/0.50  % (825149)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1695174528:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50  % (825150)...printing done.
% 0.18/0.50  % (825148)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1163512396_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50  % (825151)dis+10_1_sil=32000:sp=arity:random_seed=1888442049:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50  % (825152)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1901581115:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50  % (825150)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (825150)------------------------------
% 0.18/0.51  % (825150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51  % (825150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51  % (825150)CaDiCaL version: 2.1.3
% 0.18/0.51  % (825150)Termination reason: Refutation
% 0.18/0.51  % (825150)Time elapsed: 0.006 s
% 0.18/0.51  % (825150)Peak memory usage: 11 MB
% 0.18/0.51  % (825150)Instructions burned: 21 (million)
% 0.18/0.51  % (825143)Success in time 0.057 s
% 0.18/0.51  % Vampire exiting
%------------------------------------------------------------------------------