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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP121^1 : 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 : n015.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 08:10:46 AM UTC 2026

% Result   : Theorem 9.09s 1.71s
% Output   : Refutation 9.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (  21 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  474 (   8   ~;   3   |;   0   &; 460   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  154 ( 151 usr;  14 con; 0-5 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

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

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

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

thf(func_def_0,type,
    condit1627435690bove_a: ( a > a > $o ) > set_a > $o ).

thf(func_def_1,type,
    condit1001553558elow_a: ( a > a > $o ) > set_a > $o ).

thf(func_def_2,type,
    finite40241356em_a_a: ( a > a > a ) > $o ).

thf(func_def_3,type,
    finite_finite_a: set_a > $o ).

thf(func_def_4,type,
    abel_semigroup_a: ( a > a > a ) > $o ).

thf(func_def_5,type,
    semigroup_a: ( a > a > a ) > $o ).

thf(func_def_6,type,
    inf_inf_set_a: set_a > set_a > set_a ).

thf(func_def_7,type,
    semilattice_a: ( a > a > a ) > $o ).

thf(func_def_8,type,
    lattic247676691_fin_a: ( a > a > a ) > set_a > a ).

thf(func_def_9,type,
    lattic1885654924_set_a: ( a > a > a ) > $o ).

thf(func_def_10,type,
    lattic1781219155_fin_a: ( a > a > a ) > set_a > a ).

thf(func_def_11,type,
    modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_12,type,
    modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_13,type,
    modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_14,type,
    modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_15,type,
    modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_16,type,
    modula1727524044comp_a: ( a > a > $o ) > a > a > $o ).

thf(func_def_17,type,
    bot_bot_set_a: set_a ).

thf(func_def_18,type,
    least_a: ( a > a > $o ) > ( a > $o ) > a ).

thf(func_def_19,type,
    max_a: ( a > a > $o ) > a > a > a ).

thf(func_def_20,type,
    min_a: ( a > a > $o ) > a > a > a ).

thf(func_def_21,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_22,type,
    greatest_a: ( a > a > $o ) > ( a > $o ) > a ).

thf(func_def_23,type,
    antimono_a_set_a: ( a > a > $o ) > ( a > set_a ) > $o ).

thf(func_def_24,type,
    mono_a_set_a: ( a > a > $o ) > ( a > set_a ) > $o ).

thf(func_def_25,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_26,type,
    insert_a: a > set_a > set_a ).

thf(func_def_27,type,
    set_atLeast_a: ( a > a > $o ) > a > set_a ).

thf(func_def_28,type,
    set_atMost_a: ( a > a > $o ) > a > set_a ).

thf(func_def_29,type,
    member_a: a > set_a > $o ).

thf(func_def_30,type,
    a2: a ).

thf(func_def_31,type,
    b: a ).

thf(func_def_32,type,
    c: a ).

thf(func_def_33,type,
    inf: a > a > a ).

thf(func_def_34,type,
    less_eq: a > a > $o ).

thf(func_def_35,type,
    sup: a > a > a ).

thf(func_def_37,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_41,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_42,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_43,type,
    vAND: $o > $o > $o ).

thf(func_def_44,type,
    vNOT: $o > $o ).

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

thf(func_def_46,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_47,type,
    vIMP: $o > $o > $o ).

thf(func_def_48,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    sP0: ( a > a > a ) > $o ).

thf(func_def_51,type,
    sP1: ( a > a > a ) > $o ).

thf(func_def_52,type,
    sP2: ( a > $o ) > ( a > $o ) > $o ).

thf(func_def_53,type,
    sP3: ( a > $o ) > a > $o ).

thf(func_def_54,type,
    sP4: ( a > $o ) > a > $o ).

thf(func_def_55,type,
    sP5: ( a > $o ) > ( a > $o ) > $o ).

thf(func_def_56,type,
    sP6: a > set_a > $o ).

thf(func_def_57,type,
    sP7: a > set_a > $o ).

thf(func_def_58,type,
    sK8: a ).

thf(func_def_59,type,
    sK9: a ).

thf(func_def_60,type,
    sK10: a ).

thf(func_def_61,type,
    sK11: a ).

thf(func_def_62,type,
    sK12: a ).

thf(func_def_63,type,
    sK13: a ).

thf(func_def_64,type,
    sK14: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_65,type,
    sK15: ( a > a > a ) > a ).

thf(func_def_66,type,
    sK16: ( a > a > a ) > a ).

thf(func_def_67,type,
    sK17: ( a > a > a ) > a ).

thf(func_def_68,type,
    sK18: ( a > a > a ) > a ).

thf(func_def_69,type,
    sK19: ( a > a > a ) > a ).

thf(func_def_70,type,
    sK20: ( a > a > a ) > a ).

thf(func_def_71,type,
    sK21: ( a > a > a ) > a ).

thf(func_def_72,type,
    sK22: ( a > a > a ) > a ).

thf(func_def_73,type,
    sK23: ( a > a > a ) > a ).

thf(func_def_74,type,
    sK24: ( a > a > a ) > a ).

thf(func_def_75,type,
    sK25: ( a > a > a ) > a ).

thf(func_def_76,type,
    sK26: ( a > a > a ) > a ).

thf(func_def_77,type,
    sK27: ( a > a > a ) > a ).

thf(func_def_78,type,
    sK28: ( a > a > a ) > a ).

thf(func_def_79,type,
    sK29: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_80,type,
    sK30: a > ( a > $o ) > a ).

thf(func_def_81,type,
    sK31: a > ( a > $o ) > a ).

thf(func_def_82,type,
    sK32: ( a > $o ) > a > a ).

thf(func_def_83,type,
    sK33: a > ( a > $o ) > a ).

thf(func_def_84,type,
    sK34: ( a > $o ) > a > a ).

thf(func_def_85,type,
    sK35: a > ( a > $o ) > a ).

thf(func_def_86,type,
    sK36: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_87,type,
    sK37: a > ( a > $o ) > a ).

thf(func_def_88,type,
    sK38: a > ( a > $o ) > a ).

thf(func_def_89,type,
    sK39: a > set_a > a ).

thf(func_def_90,type,
    sK40: a > set_a > a ).

thf(func_def_91,type,
    sK41: ( a > a > a ) > a ).

thf(func_def_92,type,
    sK42: ( a > a > a ) > a ).

thf(func_def_93,type,
    sK43: ( a > a > a ) > a ).

thf(func_def_94,type,
    sK44: a > set_a > a ).

thf(func_def_95,type,
    sK45: a > set_a > a ).

thf(func_def_96,type,
    sK46: ( a > set_a ) > a ).

thf(func_def_97,type,
    sK47: ( a > set_a ) > a ).

thf(func_def_98,type,
    sK48: ( a > set_a ) > a ).

thf(func_def_99,type,
    sK49: ( a > set_a ) > a ).

thf(func_def_100,type,
    sK50: set_a > a ).

thf(func_def_101,type,
    sK51: set_a > a ).

thf(func_def_102,type,
    sK52: a > set_a > a ).

thf(func_def_103,type,
    sK53: a > set_a > a ).

thf(func_def_104,type,
    sK54: set_a > set_a > a ).

thf(func_def_105,type,
    sK55: set_a > a ).

thf(func_def_106,type,
    sK56: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_107,type,
    sK57: a ).

thf(func_def_108,type,
    sK58: a ).

thf(func_def_109,type,
    sK59: set_a > set_a > set_a > a ).

thf(func_def_110,type,
    sK60: set_a > set_a > set_a > a ).

thf(func_def_111,type,
    sK61: set_a > set_a > a ).

thf(func_def_112,type,
    sK62: set_a > set_a > a ).

thf(func_def_113,type,
    sK63: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_114,type,
    sK64: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_115,type,
    sK65: set_a > set_a > a ).

thf(func_def_116,type,
    sK66: set_a > set_a > a ).

thf(func_def_117,type,
    sK67: set_a > set_a > a ).

thf(func_def_118,type,
    sK68: set_a > set_a > a ).

thf(func_def_119,type,
    sK69: set_a > a ).

thf(func_def_120,type,
    sK70: set_a > set_a > a ).

thf(func_def_121,type,
    sK71: set_a > set_a > a ).

thf(func_def_122,type,
    sK72: ( a > $o ) > a ).

thf(func_def_123,type,
    sK73: ( a > $o ) > a ).

thf(func_def_124,type,
    sK74: set_a > a ).

thf(func_def_125,type,
    sK75: set_a > a ).

thf(func_def_126,type,
    sK76: set_a > set_a > a ).

thf(func_def_127,type,
    sK77: a > set_a > a ).

thf(func_def_128,type,
    sK78: a > set_a > a ).

thf(func_def_129,type,
    sK79: set_a > set_a > a ).

thf(func_def_130,type,
    sK80: set_a > set_a > a ).

thf(func_def_131,type,
    sK81: set_a > set_a > a ).

thf(func_def_132,type,
    sK82: ( a > set_a ) > a ).

thf(func_def_133,type,
    sK83: ( a > set_a ) > a ).

thf(func_def_134,type,
    sK84: ( a > set_a ) > a ).

thf(func_def_135,type,
    sK85: ( a > set_a ) > a ).

thf(func_def_136,type,
    sK86: ( a > set_a ) > a ).

thf(func_def_137,type,
    sK87: ( a > set_a ) > a ).

thf(func_def_138,type,
    sK88: ( a > set_a ) > a ).

thf(func_def_139,type,
    sK89: ( a > set_a ) > a ).

thf(func_def_140,type,
    sK90: set_a > set_a > a ).

thf(func_def_141,type,
    sK91: set_a > set_a > a ).

thf(func_def_142,type,
    sK92: ( a > a > a ) > a ).

thf(func_def_143,type,
    sK93: ( a > a > a ) > a ).

thf(func_def_144,type,
    sK94: ( a > a > a ) > a ).

thf(func_def_145,type,
    sK95: set_a > a ).

thf(func_def_146,type,
    sK96: a > set_a > a ).

thf(func_def_147,type,
    sK97: set_a > a ).

thf(func_def_148,type,
    sK98: a > set_a > a ).

thf(func_def_150,type,
    sK100: a > a ).

thf(func_def_151,type,
    sK101: a > a ).

thf(func_def_152,type,
    sK102: a > a ).

thf(func_def_153,type,
    sK103: a > a ).

thf(f15,axiom,
    ! [X0: a,X1: a,X2: a] :
      ( ( sup @ X0 @ ( modula1936294176_aux_a @ inf @ sup @ X0 @ X1 @ X2 ) )
      = ( sup @ X0 @ ( inf @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_local_Oa__join__d) ).

thf(f93,axiom,
    ! [X0: a,X1: a] : ( less_eq @ ( inf @ X0 @ X1 ) @ X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_local_Oinf_Ocobounded2) ).

thf(f127,axiom,
    ! [X0: a,X1: a,X2: a] :
      ( ( less_eq @ X0 @ X1 )
     => ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_local_Omodular) ).

thf(f255,conjecture,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
    = ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f256,negated_conjecture,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f255]) ).

thf(f339,plain,
    ! [X0: a,X1: a] : ( less_eq @ ( inf @ X0 @ X1 ) @ X1 ),
    inference(rectify,[],[f93]) ).

thf(f340,plain,
    ! [X0: a,X1: a] :
      ( ( less_eq @ ( inf @ X0 @ X1 ) @ X1 )
      = $true ),
    inference(fool_elimination,[],[f339]) ).

thf(f401,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( less_eq @ X0 @ X1 )
     => ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ X0 @ X2 ) ) ) ),
    inference(rectify,[],[f127]) ).

thf(f402,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( less_eq @ X0 @ X1 )
        = $true )
     => ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ X0 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f401]) ).

thf(f632,plain,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    inference(flattening,[],[f256]) ).

thf(f700,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ X0 @ X2 ) ) )
      | ( ( less_eq @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f402]) ).

thf(f898,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
      = ( sup @ X0 @ ( modula1936294176_aux_a @ inf @ sup @ X0 @ X1 @ X2 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f980,plain,
    ! [X0: a,X1: a] :
      ( ( less_eq @ ( inf @ X0 @ X1 ) @ X1 )
      = $true ),
    inference(cnf_transformation,[],[f340]) ).

thf(f1020,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( ( less_eq @ X0 @ X1 )
       != $true )
      | ( ( sup @ X0 @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ X0 @ X2 ) ) ) ),
    inference(cnf_transformation,[],[f700]) ).

thf(f1185,plain,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    inference(cnf_transformation,[],[f632]) ).

thf(f2471,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( $true != $true )
      | ( ( sup @ ( inf @ X0 @ X1 ) @ ( inf @ X1 @ X2 ) )
        = ( inf @ X1 @ ( sup @ ( inf @ X0 @ X1 ) @ X2 ) ) ) ),
    inference(constrained_superposition,[],[f1020,f980]) ).

thf(f2483,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( sup @ ( inf @ X0 @ X1 ) @ ( inf @ X1 @ X2 ) )
      = ( inf @ X1 @ ( sup @ ( inf @ X0 @ X1 ) @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f2471]) ).

thf(f2947,plain,
    ( ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( inf @ b @ c ) ) ) )
   != ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( inf @ b @ c ) ) ) ) ),
    inference(constrained_superposition,[],[f1185,f898]) ).

thf(f2948,plain,
    ( ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( inf @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( inf @ b @ c ) ) ) ) ),
    inference(forward_demodulation,[],[f2947,f2483]) ).

thf(f2949,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2948]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP121^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n015.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 20:00:04 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  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
% 5.52/1.09  % (4037214)Will run a generic schedule for satisfiability detection.
% 5.52/1.09  % (4037221)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1569502647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.52/1.09  % (4037220)% WARNING: option uhcvi not known.
% 5.52/1.09  % (4037219)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2392091230_2999 on theBenchmark for (2999ds/0Mi)
% 5.52/1.09  % (4037220)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=575811127:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.52/1.09  % (4037223)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1243560871:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.52/1.09  % (4037222)dis+10_1_sil=32000:sp=arity:random_seed=1325004369:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.52/1.09  % (4037225)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1685937797:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.52/1.09  % (4037220)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.52/1.09  % (4037223)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.52/1.09  % (4037224)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3355219491:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.52/1.09  % Exception at run slice level
% 5.52/1.09  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.52/1.09  % (4037220)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.52/1.09  % (4037222)Instruction limit reached! 
% 5.52/1.09  % (4037222)------------------------------
% 5.52/1.09  % (4037222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.09  % (4037222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.09  % (4037222)CaDiCaL version: 2.1.3
% 5.52/1.09  % (4037222)Termination reason: Instruction limit
% 5.52/1.09  % (4037222)Termination phase: Saturation
% 5.52/1.09  % (4037222)Time elapsed: 0.045 s
% 5.52/1.09  % (4037222)Peak memory usage: 12 MB
% 5.52/1.09  % (4037222)Instructions burned: 103 (million)
% 5.52/1.09  % (4037233)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1178469985:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.52/1.09  % (4037223)Instruction limit reached! 
% 5.52/1.09  % (4037223)------------------------------
% 5.52/1.09  % (4037223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.09  % (4037223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.09  % (4037223)CaDiCaL version: 2.1.3
% 5.52/1.09  % (4037223)Termination reason: Instruction limit
% 5.52/1.09  % (4037223)Termination phase: Saturation
% 5.52/1.09  % (4037223)Time elapsed: 0.052 s
% 5.52/1.09  % (4037223)Peak memory usage: 13 MB
% 5.52/1.09  % (4037223)Instructions burned: 118 (million)
% 5.52/1.09  % (4037235)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2417357354:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.52/1.09  % (4037236)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3888257165:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.52/1.09  % Exception at run slice level
% 5.52/1.09  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.52/1.09  % (4037225)Instruction limit reached! 
% 5.52/1.09  % (4037225)------------------------------
% 5.52/1.09  % (4037225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.09  % (4037225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.09  % (4037225)CaDiCaL version: 2.1.3
% 5.52/1.09  % (4037225)Termination reason: Instruction limit
% 5.52/1.09  % (4037225)Termination phase: Saturation
% 5.52/1.09  % (4037225)Time elapsed: 0.073 s
% 5.52/1.09  % (4037225)Peak memory usage: 13 MB
% 5.52/1.09  % (4037225)Instructions burned: 160 (million)
% 5.52/1.09  % (4037236)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.52/1.09  % (4037239)ott-21_1_sil=16000:fs=off:random_seed=2935025815:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.52/1.09  % (4037240)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1841269405:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.09/1.71  % (4037236)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.09/1.71  % (4037224)Instruction limit reached! 
% 9.09/1.71  % (4037224)------------------------------
% 9.09/1.71  % (4037224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037224)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037224)Termination reason: Instruction limit
% 9.09/1.71  % (4037224)Termination phase: Saturation
% 9.09/1.71  % (4037224)Time elapsed: 0.098 s
% 9.09/1.71  % (4037224)Peak memory usage: 13 MB
% 9.09/1.71  % (4037224)Instructions burned: 131 (million)
% 9.09/1.71  % (4037235)Instruction limit reached! 
% 9.09/1.71  % (4037235)------------------------------
% 9.09/1.71  % (4037235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037235)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037235)Termination reason: Instruction limit
% 9.09/1.71  % (4037235)Termination phase: Saturation
% 9.09/1.71  % (4037235)Time elapsed: 0.059 s
% 9.09/1.71  % (4037235)Peak memory usage: 13 MB
% 9.09/1.71  % (4037235)Instructions burned: 131 (million)
% 9.09/1.71  % (4037243)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1618131289:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 9.09/1.71  % (4037244)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1464935388:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037239)Instruction limit reached! 
% 9.09/1.71  % (4037239)------------------------------
% 9.09/1.71  % (4037239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037239)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037239)Termination reason: Instruction limit
% 9.09/1.71  % (4037239)Termination phase: Saturation
% 9.09/1.71  % (4037239)Time elapsed: 0.079 s
% 9.09/1.71  % (4037239)Peak memory usage: 13 MB
% 9.09/1.71  % (4037239)Instructions burned: 182 (million)
% 9.09/1.71  % (4037248)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=23523808:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 9.09/1.71  % (4037247)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2069996588:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 9.09/1.71  % (4037248)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037251)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=556848940:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 9.09/1.71  % (4037251)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.09/1.71  % (4037240)Instruction limit reached! 
% 9.09/1.71  % (4037240)------------------------------
% 9.09/1.71  % (4037240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037240)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037240)Termination reason: Instruction limit
% 9.09/1.71  % (4037240)Termination phase: Saturation
% 9.09/1.71  % (4037240)Time elapsed: 0.235 s
% 9.09/1.71  % (4037240)Peak memory usage: 14 MB
% 9.09/1.71  % (4037240)Instructions burned: 479 (million)
% 9.09/1.71  % (4037253)fmb+10_1_sil=64000:random_seed=2071153203:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 9.09/1.71  % (4037253)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037255)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3406019701:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 9.09/1.71  % (4037236)Instruction limit reached! 
% 9.09/1.71  % (4037236)------------------------------
% 9.09/1.71  % (4037236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037236)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037236)Termination reason: Instruction limit
% 9.09/1.71  % (4037236)Termination phase: Saturation
% 9.09/1.71  % (4037236)Time elapsed: 0.325 s
% 9.09/1.71  % (4037236)Peak memory usage: 16 MB
% 9.09/1.71  % (4037236)Instructions burned: 684 (million)
% 9.09/1.71  % (4037257)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2302998304:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037259)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3520139886:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037259)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.09/1.71  % (4037261)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=357399703:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 9.09/1.71  % (4037261)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 9.09/1.71  % (4037261)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.09/1.71  % (4037248)Instruction limit reached! 
% 9.09/1.71  % (4037248)------------------------------
% 9.09/1.71  % (4037248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037248)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037248)Termination reason: Instruction limit
% 9.09/1.71  % (4037248)Termination phase: Saturation
% 9.09/1.71  % (4037248)Time elapsed: 0.326 s
% 9.09/1.71  % (4037248)Peak memory usage: 16 MB
% 9.09/1.71  % (4037248)Instructions burned: 694 (million)
% 9.09/1.71  % (4037263)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1755946291:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037265)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=674315247:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037267)ott-2_1_sil=16000:newcnf=on:random_seed=3258267558:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 9.09/1.71  % (4037267)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 9.09/1.71  % (4037244)Instruction limit reached! 
% 9.09/1.71  % (4037244)------------------------------
% 9.09/1.71  % (4037244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037244)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037244)Termination reason: Instruction limit
% 9.09/1.71  % (4037244)Termination phase: Saturation
% 9.09/1.71  % (4037244)Time elapsed: 0.549 s
% 9.09/1.71  % (4037244)Peak memory usage: 20 MB
% 9.09/1.71  % (4037244)Instructions burned: 1180 (million)
% 9.09/1.71  % (4037269)ott+10_1_sil=32000:tgt=ground:random_seed=3943066129:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 9.09/1.71  % (4037251)Instruction limit reached! 
% 9.09/1.71  % (4037251)------------------------------
% 9.09/1.71  % (4037251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037251)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037251)Termination reason: Instruction limit
% 9.09/1.71  % (4037251)Termination phase: Saturation
% 9.09/1.71  % (4037251)Time elapsed: 0.476 s
% 9.09/1.71  % (4037251)Peak memory usage: 16 MB
% 9.09/1.71  % (4037251)Instructions burned: 880 (million)
% 9.09/1.71  % (4037271)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=809103426:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 9.09/1.71  % Exception at run slice level
% 9.09/1.71  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 9.09/1.71  % (4037273)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2159961143:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 9.09/1.71  % (4037273)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.09/1.71  % (4037267)Instruction limit reached! 
% 9.09/1.71  % (4037267)------------------------------
% 9.09/1.71  % (4037267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037267)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037267)Termination reason: Instruction limit
% 9.09/1.71  % (4037267)Termination phase: Saturation
% 9.09/1.71  % (4037267)Time elapsed: 0.391 s
% 9.09/1.71  % (4037267)Peak memory usage: 19 MB
% 9.09/1.71  % (4037267)Instructions burned: 877 (million)
% 9.09/1.71  % (4037275)dis+21_1_sil=32000:sas=cadical:random_seed=853581602:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 9.09/1.71  % (4037261)Instruction limit reached! 
% 9.09/1.71  % (4037261)------------------------------
% 9.09/1.71  % (4037261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037261)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037261)Termination reason: Instruction limit
% 9.09/1.71  % (4037261)Termination phase: Saturation
% 9.09/1.71  % (4037261)Time elapsed: 0.757 s
% 9.09/1.71  % (4037261)Peak memory usage: 20 MB
% 9.09/1.71  % (4037261)Instructions burned: 1473 (million)
% 9.09/1.71  % (4037277)ott+11_1_sil=16000:gs=on:random_seed=1756580299:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 9.09/1.71  % (4037277)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 9.09/1.71  % (4037277) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4037214-4037277"...
% 9.09/1.71  % (4037277)...printing done.
% 9.09/1.71  % (4037277)Refutation found. Thanks to Tanya!
% 9.09/1.71  % SZS status Theorem for theBenchmark
% 9.09/1.71  % SZS output start Proof for theBenchmark
% See solution above
% 9.09/1.71  % (4037277)------------------------------
% 9.09/1.71  % (4037277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.09/1.71  % (4037277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.71  % (4037277)CaDiCaL version: 2.1.3
% 9.09/1.71  % (4037277)Termination reason: Refutation
% 9.09/1.71  % (4037277)Time elapsed: 0.176 s
% 9.09/1.71  % (4037277)Peak memory usage: 14 MB
% 9.09/1.71  % (4037277)Instructions burned: 376 (million)
% 9.09/1.71  % (4037214)Success in time 1.471 s
% 9.09/1.71  % Vampire exiting
%------------------------------------------------------------------------------