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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW473^1 : TPTP v9.3.1. Released v5.3.0.
% 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 08:40:22 AM UTC 2026

% Result   : Theorem 19.66s 3.91s
% Output   : Refutation 19.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :  205 (  40 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :  243 (  24   ~;  14   |;   7   &; 192   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  161 ( 158 usr;   6 con; 0-4 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

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

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

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

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

thf(func_def_0,type,
    finite_card_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > nat ).

thf(func_def_1,type,
    finite221134632me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > nat ).

thf(func_def_2,type,
    finite_card_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > nat ).

thf(func_def_3,type,
    finite_card_a_o: ( ( x_a > $o ) > $o ) > nat ).

thf(func_def_4,type,
    finite_card_pname_o: ( ( pname > $o ) > $o ) > nat ).

thf(func_def_5,type,
    finite_card_nat_o: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_6,type,
    finite_card_a: ( x_a > $o ) > nat ).

thf(func_def_7,type,
    finite_card_pname: ( pname > $o ) > nat ).

thf(func_def_8,type,
    finite_card_nat: ( nat > $o ) > nat ).

thf(func_def_9,type,
    finite1302365357_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > $o ).

thf(func_def_10,type,
    finite1648353812_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > $o ).

thf(func_def_11,type,
    finite1237261006_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > $o ).

thf(func_def_12,type,
    finite_finite_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > $o ).

thf(func_def_13,type,
    finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).

thf(func_def_14,type,
    finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).

thf(func_def_15,type,
    finite_finite_a_o: ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_16,type,
    finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).

thf(func_def_17,type,
    finite_finite_nat_o: ( ( nat > $o ) > $o ) > $o ).

thf(func_def_18,type,
    finite_finite_a: ( x_a > $o ) > $o ).

thf(func_def_19,type,
    finite_finite_pname: ( pname > $o ) > $o ).

thf(func_def_20,type,
    finite_finite_nat: ( nat > $o ) > $o ).

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

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

thf(func_def_23,type,
    ord_less_eq_a_o_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > $o ).

thf(func_def_24,type,
    ord_le1828183645_o_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).

thf(func_def_25,type,
    ord_le124054423_o_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > $o ).

thf(func_def_26,type,
    ord_less_eq_a_o_o: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_27,type,
    ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_28,type,
    ord_less_eq_nat_o_o: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_29,type,
    ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_30,type,
    ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).

thf(func_def_31,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_32,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_33,type,
    collect_a_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > $o ).

thf(func_def_34,type,
    collect_pname_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).

thf(func_def_35,type,
    collect_nat_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > $o ).

thf(func_def_36,type,
    collect_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_37,type,
    collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_38,type,
    collect_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_39,type,
    collect_a_o: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_40,type,
    collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_41,type,
    collect_nat_o: ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_42,type,
    collect_a: ( x_a > $o ) > x_a > $o ).

thf(func_def_43,type,
    collect_pname: ( pname > $o ) > pname > $o ).

thf(func_def_44,type,
    collect_nat: ( nat > $o ) > nat > $o ).

thf(func_def_45,type,
    image_a_o_o_a: ( ( ( x_a > $o ) > $o ) > x_a ) > ( ( ( x_a > $o ) > $o ) > $o ) > x_a > $o ).

thf(func_def_46,type,
    image_a_o_o_pname: ( ( ( x_a > $o ) > $o ) > pname ) > ( ( ( x_a > $o ) > $o ) > $o ) > pname > $o ).

thf(func_def_47,type,
    image_a_o_o_nat: ( ( ( x_a > $o ) > $o ) > nat ) > ( ( ( x_a > $o ) > $o ) > $o ) > nat > $o ).

thf(func_def_48,type,
    image_pname_o_o_a: ( ( ( pname > $o ) > $o ) > x_a ) > ( ( ( pname > $o ) > $o ) > $o ) > x_a > $o ).

thf(func_def_49,type,
    image_471733107_pname: ( ( ( pname > $o ) > $o ) > pname ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).

thf(func_def_50,type,
    image_pname_o_o_nat: ( ( ( pname > $o ) > $o ) > nat ) > ( ( ( pname > $o ) > $o ) > $o ) > nat > $o ).

thf(func_def_51,type,
    image_nat_o_o_a: ( ( ( nat > $o ) > $o ) > x_a ) > ( ( ( nat > $o ) > $o ) > $o ) > x_a > $o ).

thf(func_def_52,type,
    image_nat_o_o_pname: ( ( ( nat > $o ) > $o ) > pname ) > ( ( ( nat > $o ) > $o ) > $o ) > pname > $o ).

thf(func_def_53,type,
    image_nat_o_o_nat: ( ( ( nat > $o ) > $o ) > nat ) > ( ( ( nat > $o ) > $o ) > $o ) > nat > $o ).

thf(func_def_54,type,
    image_a_o_a: ( ( x_a > $o ) > x_a ) > ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_55,type,
    image_a_o_pname: ( ( x_a > $o ) > pname ) > ( ( x_a > $o ) > $o ) > pname > $o ).

thf(func_def_56,type,
    image_a_o_nat: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > nat > $o ).

thf(func_def_57,type,
    image_pname_o_a: ( ( pname > $o ) > x_a ) > ( ( pname > $o ) > $o ) > x_a > $o ).

thf(func_def_58,type,
    image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_59,type,
    image_pname_o_nat: ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > nat > $o ).

thf(func_def_60,type,
    image_nat_o_a: ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > x_a > $o ).

thf(func_def_61,type,
    image_nat_o_pname: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > pname > $o ).

thf(func_def_62,type,
    image_nat_o_nat: ( ( nat > $o ) > nat ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_63,type,
    image_a_a: ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_64,type,
    image_a_pname: ( x_a > pname ) > ( x_a > $o ) > pname > $o ).

thf(func_def_65,type,
    image_a_nat: ( x_a > nat ) > ( x_a > $o ) > nat > $o ).

thf(func_def_66,type,
    image_pname_a_o_o: ( pname > ( x_a > $o ) > $o ) > ( pname > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_67,type,
    image_504089495me_o_o: ( pname > ( pname > $o ) > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_68,type,
    image_pname_nat_o_o: ( pname > ( nat > $o ) > $o ) > ( pname > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_69,type,
    image_pname_a_o: ( pname > x_a > $o ) > ( pname > $o ) > ( x_a > $o ) > $o ).

thf(func_def_70,type,
    image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).

thf(func_def_71,type,
    image_pname_nat_o: ( pname > nat > $o ) > ( pname > $o ) > ( nat > $o ) > $o ).

thf(func_def_72,type,
    image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).

thf(func_def_73,type,
    image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).

thf(func_def_74,type,
    image_pname_nat: ( pname > nat ) > ( pname > $o ) > nat > $o ).

thf(func_def_75,type,
    image_nat_a_o_o: ( nat > ( x_a > $o ) > $o ) > ( nat > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_76,type,
    image_nat_pname_o_o: ( nat > ( pname > $o ) > $o ) > ( nat > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_77,type,
    image_nat_nat_o_o: ( nat > ( nat > $o ) > $o ) > ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_78,type,
    image_nat_a_o: ( nat > x_a > $o ) > ( nat > $o ) > ( x_a > $o ) > $o ).

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

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

thf(func_def_81,type,
    image_nat_a: ( nat > x_a ) > ( nat > $o ) > x_a > $o ).

thf(func_def_82,type,
    image_nat_pname: ( nat > pname ) > ( nat > $o ) > pname > $o ).

thf(func_def_83,type,
    insert_a_o_o: ( ( x_a > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_84,type,
    insert_pname_o_o: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_85,type,
    insert_nat_o_o: ( ( nat > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_86,type,
    insert_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_87,type,
    insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_88,type,
    insert_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_89,type,
    insert_a: x_a > ( x_a > $o ) > x_a > $o ).

thf(func_def_90,type,
    insert_pname: pname > ( pname > $o ) > pname > $o ).

thf(func_def_91,type,
    insert_nat: nat > ( nat > $o ) > nat > $o ).

thf(func_def_92,type,
    member_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_93,type,
    member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_94,type,
    member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_95,type,
    member_a: x_a > ( x_a > $o ) > $o ).

thf(func_def_96,type,
    member_pname: pname > ( pname > $o ) > $o ).

thf(func_def_97,type,
    member_nat: nat > ( nat > $o ) > $o ).

thf(func_def_98,type,
    g: x_a > $o ).

thf(func_def_99,type,
    p: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_100,type,
    u: pname > $o ).

thf(func_def_101,type,
    mgt_call: pname > x_a ).

thf(func_def_102,type,
    na: nat ).

thf(func_def_103,type,
    pn: pname ).

thf(func_def_105,type,
    vAND: $o > $o > $o ).

thf(func_def_106,type,
    vOR: $o > $o > $o ).

thf(func_def_107,type,
    vIMP: $o > $o > $o ).

thf(func_def_108,type,
    vNOT: $o > $o ).

thf(func_def_111,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_112,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_113,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_114,type,
    sK0: ( x_a > $o ) > ( pname > $o ) > ( pname > x_a ) > pname > $o ).

thf(func_def_115,type,
    sK1: ( nat > nat > $o ) > nat ).

thf(func_def_116,type,
    sK2: ( nat > pname > $o ) > nat ).

thf(func_def_117,type,
    sK3: ( nat > nat ) > nat ).

thf(func_def_118,type,
    sK4: ( nat > x_a > $o ) > nat ).

thf(func_def_119,type,
    sK5: ( pname > $o ) > ( pname > x_a ) > pname ).

thf(func_def_120,type,
    sK6: ( pname > $o ) > ( pname > x_a ) > x_a > pname ).

thf(func_def_121,type,
    sK7: ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > pname > $o ).

thf(func_def_122,type,
    sK8: ( pname > $o ) > ( pname > x_a ) > x_a > pname ).

thf(func_def_123,type,
    sK9: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_124,type,
    sK10: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_125,type,
    sK11: ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_126,type,
    sK12: ( nat > $o ) > nat ).

thf(func_def_127,type,
    sK13: nat > nat ).

thf(func_def_128,type,
    sK14: ( pname > $o ) > ( x_a > $o ) > ( pname > x_a ) > pname ).

thf(func_def_129,type,
    sK15: nat > ( nat > $o ) > nat ).

thf(func_def_130,type,
    sK16: ( nat > $o ) > nat ).

thf(func_def_131,type,
    sK17: nat > nat ).

thf(func_def_132,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_133,type,
    sK18: nat > nat > nat ).

thf(func_def_135,type,
    sK20: nat ).

thf(func_def_136,type,
    sK21: nat > nat ).

thf(func_def_137,type,
    sK22: nat > nat > nat ).

thf(func_def_138,type,
    sK23: nat > nat ).

thf(func_def_139,type,
    sK24: nat ).

thf(func_def_140,type,
    sK25: nat > nat > nat ).

thf(func_def_141,type,
    sK26: nat > nat > nat ).

thf(func_def_142,type,
    sK27: nat > nat > nat ).

thf(func_def_143,type,
    sK28: nat > nat > nat ).

thf(func_def_144,type,
    sK29: nat > nat ).

thf(func_def_145,type,
    sK30: nat > nat ).

thf(func_def_146,type,
    sK31: ( nat > nat ) > nat ).

thf(func_def_147,type,
    sK32: ( pname > pname ) > pname ).

thf(func_def_148,type,
    sK33: ( x_a > x_a ) > x_a ).

thf(func_def_149,type,
    sK34: nat > nat > nat ).

thf(func_def_150,type,
    sK35: nat > nat > nat ).

thf(func_def_151,type,
    sK36: ( pname > $o ) > pname ).

thf(func_def_152,type,
    sK37: ( nat > $o ) > nat > nat ).

thf(func_def_153,type,
    sK38: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_154,type,
    sK39: pname > ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_155,type,
    sK40: x_a > ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_156,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_157,type,
    sK41: ( ( nat > $o ) > nat > $o ) > nat > $o ).

thf(func_def_158,type,
    sK42: ( ( pname > $o ) > pname > $o ) > pname > $o ).

thf(func_def_159,type,
    sK43: ( ( x_a > $o ) > x_a > $o ) > x_a > $o ).

thf(func_def_160,type,
    sK44: ( pname > $o ) > pname ).

thf(f262,axiom,
    ! [X0: pname > x_a,X1: pname,X2: pname > $o] :
      ( ( member_pname @ X1 @ X2 )
     => ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_imageI) ).

thf(f275,axiom,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
    <=> ( ( ord_less_eq_a_o @ X1 @ X2 )
        & ( member_a @ X0 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).

thf(f302,axiom,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(f305,axiom,
    member_pname @ pn @ u,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

thf(f307,conjecture,
    ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

thf(f308,negated_conjecture,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(negated_conjecture,[status(cth)],[f307]) ).

thf(f795,plain,
    ! [X0: pname > x_a,X1: pname,X2: pname > $o] :
      ( ( member_pname @ X1 @ X2 )
     => ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) ) ),
    inference(rectify,[],[f262]) ).

thf(f796,plain,
    ! [X0: pname > x_a,X1: pname,X2: pname > $o] :
      ( ( ( member_pname @ X1 @ X2 )
        = $true )
     => ( ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) )
        = $true ) ),
    inference(fool_elimination,[],[f795]) ).

thf(f821,plain,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
    <=> ( ( ord_less_eq_a_o @ X1 @ X2 )
        & ( member_a @ X0 @ X2 ) ) ),
    inference(rectify,[],[f275]) ).

thf(f822,plain,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
        = $true )
    <=> ( ( ( ord_less_eq_a_o @ X1 @ X2 )
          = $true )
        & ( ( member_a @ X0 @ X2 )
          = $true ) ) ),
    inference(fool_elimination,[],[f821]) ).

thf(f873,plain,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    inference(rectify,[],[f302]) ).

thf(f874,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(fool_elimination,[],[f873]) ).

thf(f877,plain,
    member_pname @ pn @ u,
    inference(rectify,[],[f305]) ).

thf(f878,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(fool_elimination,[],[f877]) ).

thf(f881,plain,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(rectify,[],[f308]) ).

thf(f882,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(fool_elimination,[],[f881]) ).

thf(f913,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(flattening,[],[f882]) ).

thf(f1174,plain,
    ! [X0: pname > x_a,X1: pname,X2: pname > $o] :
      ( ( ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) )
        = $true )
      | ( ( member_pname @ X1 @ X2 )
       != $true ) ),
    inference(ennf_transformation,[],[f796]) ).

thf(f1248,plain,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
          = $true )
        | ( ( ord_less_eq_a_o @ X1 @ X2 )
         != $true )
        | ( ( member_a @ X0 @ X2 )
         != $true ) )
      & ( ( ( ( ord_less_eq_a_o @ X1 @ X2 )
            = $true )
          & ( ( member_a @ X0 @ X2 )
            = $true ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
         != $true ) ) ),
    inference(nnf_transformation,[],[f822]) ).

thf(f1249,plain,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
          = $true )
        | ( ( ord_less_eq_a_o @ X1 @ X2 )
         != $true )
        | ( ( member_a @ X0 @ X2 )
         != $true ) )
      & ( ( ( ( ord_less_eq_a_o @ X1 @ X2 )
            = $true )
          & ( ( member_a @ X0 @ X2 )
            = $true ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
         != $true ) ) ),
    inference(flattening,[],[f1248]) ).

thf(f1585,plain,
    ! [X2: pname > $o,X0: pname > x_a,X1: pname] :
      ( ( ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) )
        = $true )
      | ( ( member_pname @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f1174]) ).

thf(f1604,plain,
    ! [X2: x_a > $o,X0: x_a,X1: x_a > $o] :
      ( ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
        = $true )
      | ( ( ord_less_eq_a_o @ X1 @ X2 )
       != $true )
      | ( ( member_a @ X0 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f1249]) ).

thf(f1641,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(cnf_transformation,[],[f874]) ).

thf(f1644,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(cnf_transformation,[],[f878]) ).

thf(f1646,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(cnf_transformation,[],[f913]) ).

thf(f7882,plain,
    ( ( $true != $true )
    | ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( $true
     != ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) ) ),
    inference(constrained_superposition,[],[f1646,f1604]) ).

thf(f7885,plain,
    ( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( $true
     != ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) ) ),
    inference(trivial_inequality_removal,[],[f7882]) ).

thf(f7899,plain,
    ( $true
   != ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ) ),
    inference(forward_subsumption_resolution,[],[f7885,f1641]) ).

thf(f12145,plain,
    ( ( $true != $true )
    | ( ( member_pname @ pn @ u )
     != $true ) ),
    inference(constrained_superposition,[],[f7899,f1585]) ).

thf(f12146,plain,
    ( ( member_pname @ pn @ u )
   != $true ),
    inference(trivial_inequality_removal,[],[f12145]) ).

thf(f12149,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f12146,f1644]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW473^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28  % Computer : n015.cluster.edu
% 0.11/0.28  % Model    : x86_64 x86_64
% 0.11/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28  % Memory   : 8046.5625MB
% 0.11/0.28  % OS       : Linux 6.8.0-71-generic
% 0.11/0.28  % CPULimit : 300
% 0.11/0.28  % WCLimit  : 300
% 0.11/0.28  % DateTime : Tue Sep 29 16:09:18 UTC 2026
% 0.11/0.29  % CPUTime  : 
% 0.11/0.29  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.34  Running first-order model finding
% 0.28/0.34  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
% 7.56/1.64  % (3711273)Will run a generic schedule for satisfiability detection.
% 7.56/1.64  % (3711279)% WARNING: option uhcvi not known.
% 7.56/1.64  % (3711278)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2228356984_2999 on theBenchmark for (2999ds/0Mi)
% 7.56/1.64  % (3711280)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1690228496:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.56/1.64  % (3711279)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1971902639:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.56/1.64  % (3711281)dis+10_1_sil=32000:sp=arity:random_seed=3562326264:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.56/1.64  % (3711282)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=767918420:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.56/1.64  % (3711283)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3533389013:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.56/1.64  % (3711284)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3601691946:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.56/1.64  % (3711279)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.56/1.64  % (3711282)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.56/1.64  % (3711279)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.56/1.64  % Exception at run slice level
% 7.56/1.64  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.56/1.64  % (3711281)Instruction limit reached! 
% 7.56/1.64  % (3711281)------------------------------
% 7.56/1.64  % (3711281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.64  % (3711281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.64  % (3711281)CaDiCaL version: 2.1.3
% 7.56/1.64  % (3711281)Termination reason: Instruction limit
% 7.56/1.64  % (3711281)Termination phase: Saturation
% 7.56/1.64  % (3711281)Time elapsed: 0.083 s
% 7.56/1.64  % (3711281)Peak memory usage: 12 MB
% 7.56/1.64  % (3711281)Instructions burned: 104 (million)
% 7.56/1.64  % (3711282)Instruction limit reached! 
% 7.56/1.64  % (3711282)------------------------------
% 7.56/1.64  % (3711282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.64  % (3711282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.64  % (3711282)CaDiCaL version: 2.1.3
% 7.56/1.64  % (3711282)Termination reason: Instruction limit
% 7.56/1.64  % (3711282)Termination phase: Saturation
% 7.56/1.64  % (3711282)Time elapsed: 0.094 s
% 7.56/1.64  % (3711282)Peak memory usage: 13 MB
% 7.56/1.64  % (3711282)Instructions burned: 117 (million)
% 7.56/1.64  % (3711292)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=124016393:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.56/1.64  % (3711283)Instruction limit reached! 
% 7.56/1.64  % (3711283)------------------------------
% 7.56/1.64  % (3711283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.64  % (3711283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.64  % (3711283)CaDiCaL version: 2.1.3
% 7.56/1.64  % (3711283)Termination reason: Instruction limit
% 7.56/1.64  % (3711283)Termination phase: Saturation
% 7.56/1.64  % (3711283)Time elapsed: 0.105 s
% 7.56/1.64  % (3711283)Peak memory usage: 13 MB
% 7.56/1.64  % (3711283)Instructions burned: 131 (million)
% 7.56/1.64  % (3711293)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3565087131:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.56/1.64  % (3711294)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=2818375895:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.56/1.64  % (3711284)Instruction limit reached! 
% 7.56/1.64  % (3711284)------------------------------
% 7.56/1.64  % (3711284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.64  % (3711284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.64  % (3711284)CaDiCaL version: 2.1.3
% 7.56/1.64  % (3711284)Termination reason: Instruction limit
% 7.56/1.64  % (3711284)Termination phase: Saturation
% 7.56/1.64  % (3711284)Time elapsed: 0.134 s
% 7.56/1.64  % (3711284)Peak memory usage: 13 MB
% 7.56/1.64  % (3711284)Instructions burned: 159 (million)
% 19.66/3.91  % (3711296)ott-21_1_sil=16000:fs=off:random_seed=3094181765:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711294)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.66/3.91  % (3711299)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2093121541:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.66/3.91  % (3711301)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=576021021:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.66/3.91  % (3711294)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711304)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1492903115:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 19.66/3.91  % (3711293)Instruction limit reached! 
% 19.66/3.91  % (3711293)------------------------------
% 19.66/3.91  % (3711293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711293)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711293)Termination reason: Instruction limit
% 19.66/3.91  % (3711293)Termination phase: Saturation
% 19.66/3.91  % (3711293)Time elapsed: 0.120 s
% 19.66/3.91  % (3711293)Peak memory usage: 13 MB
% 19.66/3.91  % (3711293)Instructions burned: 131 (million)
% 19.66/3.91  % (3711306)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2715063110:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 19.66/3.91  % (3711296)Instruction limit reached! 
% 19.66/3.91  % (3711296)------------------------------
% 19.66/3.91  % (3711296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711296)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711296)Termination reason: Instruction limit
% 19.66/3.91  % (3711296)Termination phase: Saturation
% 19.66/3.91  % (3711296)Time elapsed: 0.146 s
% 19.66/3.91  % (3711296)Peak memory usage: 13 MB
% 19.66/3.91  % (3711296)Instructions burned: 182 (million)
% 19.66/3.91  % (3711308)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=3863923355:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711308)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.66/3.91  % (3711310)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4117366273:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 19.66/3.91  % (3711310)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.66/3.91  % (3711299)Instruction limit reached! 
% 19.66/3.91  % (3711299)------------------------------
% 19.66/3.91  % (3711299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711299)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711299)Termination reason: Instruction limit
% 19.66/3.91  % (3711299)Termination phase: Saturation
% 19.66/3.91  % (3711299)Time elapsed: 0.444 s
% 19.66/3.91  % (3711299)Peak memory usage: 14 MB
% 19.66/3.91  % (3711299)Instructions burned: 478 (million)
% 19.66/3.91  % (3711312)fmb+10_1_sil=64000:random_seed=4103502125:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 19.66/3.91  % (3711312)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711294)Instruction limit reached! 
% 19.66/3.91  % (3711294)------------------------------
% 19.66/3.91  % (3711294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711294)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711294)Termination reason: Instruction limit
% 19.66/3.91  % (3711294)Termination phase: Saturation
% 19.66/3.91  % (3711294)Time elapsed: 0.594 s
% 19.66/3.91  % (3711294)Peak memory usage: 15 MB
% 19.66/3.91  % (3711294)Instructions burned: 685 (million)
% 19.66/3.91  % (3711314)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4105621750:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 19.66/3.91  % (3711315)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2021943608:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 19.66/3.91  % (3711304)Instruction limit reached! 
% 19.66/3.91  % (3711304)------------------------------
% 19.66/3.91  % (3711304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711304)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711304)Termination reason: Instruction limit
% 19.66/3.91  % (3711304)Termination phase: Saturation
% 19.66/3.91  % (3711304)Time elapsed: 0.554 s
% 19.66/3.91  % (3711304)Peak memory usage: 18 MB
% 19.66/3.91  % (3711304)Instructions burned: 1179 (million)
% 19.66/3.91  % (3711318)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4418278:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711318)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711320)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=254827671:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 19.66/3.91  % (3711321)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2676385858:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 19.66/3.91  % (3711320)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.66/3.91  % (3711320)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711308)Instruction limit reached! 
% 19.66/3.91  % (3711308)------------------------------
% 19.66/3.91  % (3711308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711308)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711308)Termination reason: Instruction limit
% 19.66/3.91  % (3711308)Termination phase: Saturation
% 19.66/3.91  % (3711308)Time elapsed: 0.588 s
% 19.66/3.91  % (3711308)Peak memory usage: 15 MB
% 19.66/3.91  % (3711308)Instructions burned: 693 (million)
% 19.66/3.91  % (3711324)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2022891042:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 19.66/3.91  % (3711325)ott-2_1_sil=16000:newcnf=on:random_seed=1818906133:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 19.66/3.91  % (3711325)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711328)ott+10_1_sil=32000:tgt=ground:random_seed=4098103648:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 19.66/3.91  % (3711310)Instruction limit reached! 
% 19.66/3.91  % (3711310)------------------------------
% 19.66/3.91  % (3711310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711310)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711310)Termination reason: Instruction limit
% 19.66/3.91  % (3711310)Termination phase: Saturation
% 19.66/3.91  % (3711310)Time elapsed: 0.734 s
% 19.66/3.91  % (3711310)Peak memory usage: 18 MB
% 19.66/3.91  % (3711310)Instructions burned: 880 (million)
% 19.66/3.91  % (3711330)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3959000315:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711332)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2086641500:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 19.66/3.91  % (3711332)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.66/3.91  % (3711325)Instruction limit reached! 
% 19.66/3.91  % (3711325)------------------------------
% 19.66/3.91  % (3711325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711325)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711325)Termination reason: Instruction limit
% 19.66/3.91  % (3711325)Termination phase: Saturation
% 19.66/3.91  % (3711325)Time elapsed: 0.695 s
% 19.66/3.91  % (3711325)Peak memory usage: 19 MB
% 19.66/3.91  % (3711325)Instructions burned: 869 (million)
% 19.66/3.91  % (3711334)dis+21_1_sil=32000:sas=cadical:random_seed=2477850985:i=3773:amm=off_2982 on theBenchmark for (2982ds/3773Mi)
% 19.66/3.91  % (3711320)Instruction limit reached! 
% 19.66/3.91  % (3711320)------------------------------
% 19.66/3.91  % (3711320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711320)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711320)Termination reason: Instruction limit
% 19.66/3.91  % (3711320)Termination phase: Saturation
% 19.66/3.91  % (3711320)Time elapsed: 1.258 s
% 19.66/3.91  % (3711320)Peak memory usage: 16 MB
% 19.66/3.91  % (3711320)Instructions burned: 1472 (million)
% 19.66/3.91  % (3711336)ott+11_1_sil=16000:gs=on:random_seed=3339056057:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2978 on theBenchmark for (2978ds/2251Mi)
% 19.66/3.91  % (3711336)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.66/3.91  % (3711318)Instruction limit reached! 
% 19.66/3.91  % (3711318)------------------------------
% 19.66/3.91  % (3711318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711318)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711318)Termination reason: Instruction limit
% 19.66/3.91  % (3711318)Termination phase: Saturation
% 19.66/3.91  % (3711318)Time elapsed: 2.006 s
% 19.66/3.91  % (3711318)Peak memory usage: 21 MB
% 19.66/3.91  % (3711318)Instructions burned: 5131 (million)
% 19.66/3.91  % (3711338)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3699675276:fmbsr=1.6:i=67534_2971 on theBenchmark for (2971ds/67534Mi)
% 19.66/3.91  % Exception at run slice level
% 19.66/3.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.91  % (3711340)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2409016433:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2970 on theBenchmark for (2970ds/4591Mi)
% 19.66/3.91  % (3711334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3711273-3711334"...
% 19.66/3.91  % (3711334)...printing done.
% 19.66/3.91  % (3711334)Refutation found. Thanks to Tanya!
% 19.66/3.91  % SZS status Theorem for theBenchmark
% 19.66/3.91  % SZS output start Proof for theBenchmark
% See solution above
% 19.66/3.91  % (3711334)------------------------------
% 19.66/3.91  % (3711334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.91  % (3711334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.91  % (3711334)CaDiCaL version: 2.1.3
% 19.66/3.91  % (3711334)Termination reason: Refutation
% 19.66/3.91  % (3711334)Time elapsed: 1.783 s
% 19.66/3.91  % (3711334)Peak memory usage: 20 MB
% 19.66/3.91  % (3711334)Instructions burned: 2059 (million)
% 19.66/3.91  % (3711273)Success in time 3.557 s
% 19.66/3.91  % Vampire exiting
%------------------------------------------------------------------------------