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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 08:10:36 AM UTC 2026

% Result   : Theorem 0.20s 0.32s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   70 (   6   ~;   0   |;   0   &;  64   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  127 ( 125 usr;  17 con; 0-4 aty)
%            Number of variables   :   12 (   8   ^;   4   !;   0   ?;  12   :)

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

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

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

thf(type_def_8,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_1,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_2,type,
    zero_z189798548lle_hf: hF_Mirabelle_hf ).

thf(func_def_3,type,
    zero_zero_nat: nat ).

thf(func_def_4,type,
    hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_5,type,
    hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_6,type,
    hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_7,type,
    hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_8,type,
    hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_9,type,
    hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_10,type,
    hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_11,type,
    hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).

thf(func_def_12,type,
    hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_13,type,
    hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_14,type,
    hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_15,type,
    hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_16,type,
    hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_17,type,
    hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_18,type,
    inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_19,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_20,type,
    sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_21,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_22,type,
    semiri1382578993at_nat: nat > nat ).

thf(func_def_23,type,
    ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_24,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_25,type,
    collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).

thf(func_def_26,type,
    member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_27,type,
    x: hF_Mirabelle_hf ).

thf(func_def_28,type,
    y: hF_Mirabelle_hf ).

thf(func_def_30,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_31,type,
    vAND: $o > $o > $o ).

thf(func_def_32,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_33,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_35,type,
    vOR: $o > $o > $o ).

thf(func_def_38,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_39,type,
    vIMP: $o > $o > $o ).

thf(func_def_40,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_41,type,
    vNOT: $o > $o ).

thf(func_def_42,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_43,type,
    sK0: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_44,type,
    sK1: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_45,type,
    sK2: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_46,type,
    sK3: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_47,type,
    sK4: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_48,type,
    sK5: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_49,type,
    sK6: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_50,type,
    sK7: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_51,type,
    sK8: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_52,type,
    sK9: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_53,type,
    sK10: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_54,type,
    sK11: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_55,type,
    sK12: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_56,type,
    sK13: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_57,type,
    sK14: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_58,type,
    sK15: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_59,type,
    sK16: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_60,type,
    sK17: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_61,type,
    sK18: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_62,type,
    sK19: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_63,type,
    sK20: nat ).

thf(func_def_64,type,
    sK21: nat ).

thf(func_def_65,type,
    sK22: nat ).

thf(func_def_66,type,
    sK23: hF_Mirabelle_hf ).

thf(func_def_67,type,
    sK24: hF_Mirabelle_hf ).

thf(func_def_68,type,
    sK25: hF_Mirabelle_hf ).

thf(func_def_69,type,
    sK26: nat ).

thf(func_def_70,type,
    sK27: nat ).

thf(func_def_71,type,
    sK28: nat ).

thf(func_def_72,type,
    sK29: hF_Mirabelle_hf ).

thf(func_def_73,type,
    sK30: hF_Mirabelle_hf ).

thf(func_def_74,type,
    sK31: hF_Mirabelle_hf ).

thf(func_def_75,type,
    sK32: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_76,type,
    sK33: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_77,type,
    sK34: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_78,type,
    sK35: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_79,type,
    sK36: ( nat > $o ) > nat ).

thf(func_def_80,type,
    sK37: nat > ( nat > $o ) > nat ).

thf(func_def_81,type,
    sK38: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_82,type,
    sK39: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_83,type,
    sK40: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_84,type,
    sK41: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_85,type,
    sK42: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_86,type,
    sK43: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_87,type,
    sK44: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_88,type,
    sK45: ( nat > nat > nat ) > nat ).

thf(func_def_89,type,
    sK46: ( nat > nat > nat ) > nat ).

thf(func_def_90,type,
    sK47: ( nat > nat > nat ) > nat ).

thf(func_def_91,type,
    sK48: ( nat > nat > nat ) > nat ).

thf(func_def_92,type,
    sK49: ( nat > nat > nat ) > nat ).

thf(func_def_93,type,
    sK50: ( nat > nat > nat ) > nat ).

thf(func_def_94,type,
    sK51: ( nat > nat > nat ) > nat ).

thf(func_def_95,type,
    sK52: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_96,type,
    sK53: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_97,type,
    sK54: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_98,type,
    sK55: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_99,type,
    sK56: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_100,type,
    sK57: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_101,type,
    sK58: ( hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_102,type,
    sK59: ( nat > nat > nat ) > nat ).

thf(func_def_103,type,
    sK60: ( nat > nat > nat ) > nat ).

thf(func_def_104,type,
    sK61: ( nat > nat > nat ) > nat ).

thf(func_def_105,type,
    sK62: ( nat > nat > nat ) > nat ).

thf(func_def_106,type,
    sK63: ( nat > nat > nat ) > nat ).

thf(func_def_107,type,
    sK64: ( nat > nat > nat ) > nat ).

thf(func_def_108,type,
    sK65: ( nat > nat > nat ) > nat ).

thf(func_def_109,type,
    sK66: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_110,type,
    sK67: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_111,type,
    sK68: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_112,type,
    sK69: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_113,type,
    sK70: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_114,type,
    sK71: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_115,type,
    sK72: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_116,type,
    sK73: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_117,type,
    sK74: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_118,type,
    sK75: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_119,type,
    sK76: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_120,type,
    sK77: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_121,type,
    sK78: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_122,type,
    sK79: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_123,type,
    sK80: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_124,type,
    sK81: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_125,type,
    sK82: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_126,type,
    sK83: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(f14,axiom,
    ( hF_Mirabelle_hpair
    = ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_hpair__def) ).

thf(f19,axiom,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hinsert @ X0 @ X1 )
     != zero_z189798548lle_hf ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_hinsert__nonempty) ).

thf(f344,conjecture,
    ( ( hF_Mirabelle_hpair @ x @ y )
   != zero_z189798548lle_hf ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f345,negated_conjecture,
    ~ ( ( ( hF_Mirabelle_hpair @ x @ y )
       != zero_z189798548lle_hf ) ),
    inference(negated_conjecture,[status(cth)],[f344]) ).

thf(f349,plain,
    ( hF_Mirabelle_hpair
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f765,plain,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_hpair @ x @ y ) ),
    inference(flattening,[],[f345]) ).

thf(f975,plain,
    ( hF_Mirabelle_hpair
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
    inference(cnf_transformation,[],[f349]) ).

thf(f980,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( zero_z189798548lle_hf
     != ( hF_Mirabelle_hinsert @ X0 @ X1 ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f1344,plain,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_hpair @ x @ y ) ),
    inference(cnf_transformation,[],[f765]) ).

thf(f1583,plain,
    ( zero_z189798548lle_hf
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) )
      @ x
      @ y ) ),
    inference(definition_unfolding,[],[f1344,f975]) ).

thf(f1584,plain,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ x @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ x @ ( hF_Mirabelle_hinsert @ y @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
    inference(beta-eta_normalization,[],[f1583]) ).

thf(f2606,plain,
    zero_z189798548lle_hf != zero_z189798548lle_hf,
    inference(constrained_superposition,[],[f980,f1584]) ).

thf(f2607,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2606]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n007.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 19:45:26 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.32  % (3831509)Will run a generic schedule for satisfiability detection.
% 0.20/0.32  % (3831519)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2695194688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32  % (3831515)% WARNING: option uhcvi not known.
% 0.20/0.32  % (3831514)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2617556353_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32  % (3831515)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3884121195:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32  % (3831520)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2331466702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32  % (3831516)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3621229054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32  % (3831517)dis+10_1_sil=32000:sp=arity:random_seed=2280035397:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32  % (3831518)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3027338764:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32  % (3831515)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32  % (3831518)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32  % (3831519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3831509-3831519"...
% 0.20/0.32  % (3831519)...printing done.
% 0.20/0.32  % (3831519)Refutation found. Thanks to Tanya!
% 0.20/0.32  % SZS status Theorem for theBenchmark
% 0.20/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33  % (3831519)------------------------------
% 0.20/0.33  % (3831519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (3831519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (3831519)CaDiCaL version: 2.1.3
% 0.20/0.33  % (3831519)Termination reason: Refutation
% 0.20/0.33  % (3831519)Time elapsed: 0.032 s
% 0.20/0.33  % (3831519)Peak memory usage: 13 MB
% 0.20/0.33  % (3831519)Instructions burned: 135 (million)
% 0.20/0.33  % (3831509)Success in time 0.09 s
% 0.20/0.33  % Vampire exiting
%------------------------------------------------------------------------------