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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP069^1 : 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 : n012.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 08:10:34 AM UTC 2026

% Result   : Theorem 0.09s 0.19s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  106 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  262 (  21   ~;  14   |;   0   &; 218   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :   11 (  10 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  145 ( 142 usr;   7 con; 0-4 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr158363655iset_a: $tType ).

thf(type_def_6,type,
    produc1127127335iset_a: $tType ).

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

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

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

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

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

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

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

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

thf(type_def_15,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    minus_1649712171iset_a: multiset_a > multiset_a > multiset_a ).

thf(func_def_1,type,
    plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).

thf(func_def_2,type,
    zero_zero_multiset_a: multiset_a ).

thf(func_def_3,type,
    nO_MAT1617603563iset_a: multiset_a > multiset_a > $o ).

thf(func_def_4,type,
    heapIm970322378pify_a: tree_a > tree_a ).

thf(func_def_5,type,
    heapIm1140443833left_a: tree_a > tree_a ).

thf(func_def_6,type,
    heapIm1257206334ight_a: tree_a > tree_a ).

thf(func_def_7,type,
    heapIm1091024090Down_a: tree_a > tree_a ).

thf(func_def_8,type,
    e_a: tree_a ).

thf(func_def_9,type,
    t_a: a > tree_a > tree_a > tree_a ).

thf(func_def_10,type,
    in_tree_a: a > tree_a > $o ).

thf(func_def_11,type,
    is_heap_a: tree_a > $o ).

thf(func_def_12,type,
    multiset_a2: tree_a > multiset_a ).

thf(func_def_13,type,
    val_a: tree_a > a ).

thf(func_def_14,type,
    lattic146396397_Max_a: set_a > a ).

thf(func_def_15,type,
    add_mset_a: a > multiset_a > multiset_a ).

thf(func_def_16,type,
    comm_m315775925iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_17,type,
    fold_m382157835iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_18,type,
    fold_m364285649iset_a: ( a > multiset_a > multiset_a ) > multiset_a > multiset_a > multiset_a ).

thf(func_def_19,type,
    is_empty_a: multiset_a > $o ).

thf(func_def_20,type,
    mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_21,type,
    mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_22,type,
    set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).

thf(func_def_23,type,
    set_mset_a: multiset_a > set_a ).

thf(func_def_24,type,
    ord_le1199012836iset_a: multiset_a > multiset_a > $o ).

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

thf(func_def_26,type,
    order_Greatest_a: ( a > $o ) > a ).

thf(func_def_27,type,
    produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).

thf(func_def_28,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(func_def_29,type,
    irrefl_a: set_Product_prod_a_a > $o ).

thf(func_def_30,type,
    trans_a: set_Product_prod_a_a > $o ).

thf(func_def_31,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_32,type,
    member_multiset_a: multiset_a > set_multiset_a > $o ).

thf(func_def_33,type,
    member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).

thf(func_def_34,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_35,type,
    member_a: a > set_a > $o ).

thf(func_def_36,type,
    l: tree_a ).

thf(func_def_37,type,
    r: tree_a ).

thf(func_def_38,type,
    v: a ).

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

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

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

thf(func_def_45,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_46,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_47,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

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

thf(func_def_50,type,
    vIMP: $o > $o > $o ).

thf(func_def_51,type,
    sP0: a > a > a > $o ).

thf(func_def_52,type,
    sP1: a > a > a > $o ).

thf(func_def_53,type,
    sP2: a > a > a > $o ).

thf(func_def_54,type,
    sK3: tree_a > a ).

thf(func_def_55,type,
    sK4: tree_a > a ).

thf(func_def_56,type,
    sK5: tree_a > tree_a ).

thf(func_def_57,type,
    sK6: tree_a > tree_a ).

thf(func_def_58,type,
    sK7: tree_a > a ).

thf(func_def_59,type,
    sK8: tree_a > tree_a ).

thf(func_def_60,type,
    sK9: tree_a > tree_a ).

thf(func_def_61,type,
    sK10: tree_a > a ).

thf(func_def_62,type,
    sK11: tree_a > a ).

thf(func_def_63,type,
    sK12: tree_a > tree_a ).

thf(func_def_64,type,
    sK13: tree_a > tree_a ).

thf(func_def_65,type,
    sK14: tree_a > a ).

thf(func_def_66,type,
    sK15: tree_a > a ).

thf(func_def_67,type,
    sK16: tree_a > tree_a ).

thf(func_def_68,type,
    sK17: tree_a > tree_a ).

thf(func_def_69,type,
    sK18: tree_a > a ).

thf(func_def_70,type,
    sK19: tree_a > a ).

thf(func_def_71,type,
    sK20: tree_a > a ).

thf(func_def_72,type,
    sK21: tree_a > tree_a ).

thf(func_def_73,type,
    sK22: tree_a > tree_a ).

thf(func_def_74,type,
    sK23: tree_a > a ).

thf(func_def_75,type,
    sK24: tree_a > tree_a ).

thf(func_def_76,type,
    sK25: tree_a > tree_a ).

thf(func_def_77,type,
    sK26: tree_a > a ).

thf(func_def_78,type,
    sK27: tree_a > a ).

thf(func_def_79,type,
    sK28: tree_a > tree_a ).

thf(func_def_80,type,
    sK29: tree_a > tree_a ).

thf(func_def_81,type,
    sK30: tree_a > a ).

thf(func_def_82,type,
    sK31: tree_a > a ).

thf(func_def_83,type,
    sK32: tree_a > tree_a ).

thf(func_def_84,type,
    sK33: tree_a > tree_a ).

thf(func_def_85,type,
    sK34: tree_a > a ).

thf(func_def_86,type,
    sK35: tree_a > a ).

thf(func_def_87,type,
    sK36: tree_a > tree_a ).

thf(func_def_88,type,
    sK37: tree_a > tree_a ).

thf(func_def_89,type,
    sK38: ( tree_a > $o ) > a ).

thf(func_def_90,type,
    sK39: ( tree_a > $o ) > tree_a ).

thf(func_def_91,type,
    sK40: ( tree_a > $o ) > tree_a ).

thf(func_def_92,type,
    sK41: a > tree_a > tree_a ).

thf(func_def_93,type,
    sK42: a > tree_a > a ).

thf(func_def_94,type,
    sK43: a > tree_a > tree_a ).

thf(func_def_95,type,
    sK44: ( a > a ) > a ).

thf(func_def_96,type,
    sK45: ( a > a ) > a ).

thf(func_def_97,type,
    sK46: ( a > a ) > a ).

thf(func_def_98,type,
    sK47: ( a > a ) > a ).

thf(func_def_99,type,
    sK48: ( a > a ) > a ).

thf(func_def_100,type,
    sK49: ( a > a ) > a ).

thf(func_def_101,type,
    sK50: ( a > a ) > a ).

thf(func_def_102,type,
    sK51: ( a > a ) > a ).

thf(func_def_103,type,
    sK52: ( a > a > $o ) > a ).

thf(func_def_104,type,
    sK53: ( a > a > $o ) > a ).

thf(func_def_105,type,
    sK54: ( a > a > $o ) > a ).

thf(func_def_106,type,
    sK55: ( a > a > $o ) > a ).

thf(func_def_107,type,
    sK56: multiset_a > a > multiset_a ).

thf(func_def_108,type,
    sK57: multiset_a > a > multiset_a ).

thf(func_def_109,type,
    sK58: a > ( a > $o ) > a ).

thf(func_def_110,type,
    sK59: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_111,type,
    sK60: a > ( a > $o ) > a ).

thf(func_def_112,type,
    sK61: ( multiset_a > $o ) > a ).

thf(func_def_113,type,
    sK62: ( multiset_a > $o ) > multiset_a ).

thf(func_def_114,type,
    sK63: ( multiset_a > $o ) > a ).

thf(func_def_115,type,
    sK64: ( multiset_a > $o ) > multiset_a ).

thf(func_def_116,type,
    sK65: multiset_a > a ).

thf(func_def_117,type,
    sK66: multiset_a > multiset_a ).

thf(func_def_118,type,
    sK67: ( multiset_a > $o ) > a ).

thf(func_def_119,type,
    sK68: ( multiset_a > $o ) > multiset_a ).

thf(func_def_120,type,
    sK69: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_121,type,
    sK70: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_122,type,
    sK71: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_123,type,
    sK72: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_124,type,
    sK73: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_125,type,
    sK74: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_126,type,
    sK75: multiset_a > multiset_a ).

thf(func_def_127,type,
    sK76: multiset_a > a ).

thf(func_def_128,type,
    sK77: multiset_a > a ).

thf(func_def_129,type,
    sK78: set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_130,type,
    sK79: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_131,type,
    sK80: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_132,type,
    sK81: set_Product_prod_a_a > multiset_a > a > a ).

thf(func_def_133,type,
    sK82: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).

thf(func_def_134,type,
    sK83: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).

thf(func_def_135,type,
    sK84: set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_136,type,
    sK85: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_137,type,
    sK86: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_138,type,
    sK87: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).

thf(func_def_139,type,
    sK88: a > multiset_a > multiset_a > set_Product_prod_a_a > a ).

thf(func_def_140,type,
    vNOT: $o > $o ).

thf(func_def_141,type,
    sK89: a > multiset_multiset_a > multiset_a ).

thf(func_def_142,type,
    sK90: multiset_multiset_a > multiset_a ).

thf(func_def_143,type,
    sK91: multiset_a > multiset_a > a > a > multiset_a ).

thf(f1,axiom,
    is_heap_a @ ( heapIm970322378pify_a @ r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_T_Ohyps_I2_J) ).

thf(f2,axiom,
    is_heap_a @ ( heapIm970322378pify_a @ l ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_T_Ohyps_I1_J) ).

thf(f3,axiom,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
   => ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     => ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
          = ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
       => ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060lbrakk_062is__heap_A_Iheapify_Al_J_059_Ais__heap_A_Iheapify_Ar_J_059_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_A_061_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ais__heap_A_IsiftDown_A_IT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_J_J_092_060close_062) ).

thf(f4,axiom,
    ! [X0: a,X1: tree_a,X2: tree_a] :
      ( ( heapIm970322378pify_a @ ( t_a @ X0 @ X1 @ X2 ) )
      = ( heapIm1091024090Down_a @ ( t_a @ X0 @ ( heapIm970322378pify_a @ X1 ) @ ( heapIm970322378pify_a @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_heapify_Osimps_I2_J) ).

thf(f143,conjecture,
    is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f144,negated_conjecture,
    ~ ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) ),
    inference(negated_conjecture,[status(cth)],[f143]) ).

thf(f145,plain,
    is_heap_a @ ( heapIm970322378pify_a @ r ),
    inference(rectify,[],[f1]) ).

thf(f146,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
    = $true ),
    inference(fool_elimination,[],[f145]) ).

thf(f147,plain,
    is_heap_a @ ( heapIm970322378pify_a @ l ),
    inference(rectify,[],[f2]) ).

thf(f148,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
    = $true ),
    inference(fool_elimination,[],[f147]) ).

thf(f149,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
   => ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     => ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
          = ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
       => ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f150,plain,
    ( ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
      = $true )
   => ( ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
        = $true )
     => ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
          = ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
       => ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
          = $true ) ) ) ),
    inference(fool_elimination,[],[f149]) ).

thf(f335,plain,
    ~ ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) ),
    inference(rectify,[],[f144]) ).

thf(f336,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
   != $true ),
    inference(fool_elimination,[],[f335]) ).

thf(f350,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
   != $true ),
    inference(flattening,[],[f336]) ).

thf(f351,plain,
    ( ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
      = $true )
    | ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
     != ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(ennf_transformation,[],[f150]) ).

thf(f352,plain,
    ( ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
      = $true )
    | ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
     != ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(flattening,[],[f351]) ).

thf(f501,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
    = $true ),
    inference(cnf_transformation,[],[f146]) ).

thf(f502,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
    = $true ),
    inference(cnf_transformation,[],[f148]) ).

thf(f503,plain,
    ( ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
      = $true )
    | ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
     != ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(cnf_transformation,[],[f352]) ).

thf(f504,plain,
    ! [X2: tree_a,X0: a,X1: tree_a] :
      ( ( heapIm970322378pify_a @ ( t_a @ X0 @ X1 @ X2 ) )
      = ( heapIm1091024090Down_a @ ( t_a @ X0 @ ( heapIm970322378pify_a @ X1 ) @ ( heapIm970322378pify_a @ X2 ) ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f700,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
   != $true ),
    inference(cnf_transformation,[],[f350]) ).

thf(f1066,plain,
    ( ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
      = $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f503]) ).

thf(f1087,plain,
    ( ( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
      = $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1066,f504]) ).

thf(f1101,plain,
    ( ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
     != $true )
    | ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
     != $true ) ),
    inference(forward_subsumption_resolution,[],[f1087,f700]) ).

thf(f1113,plain,
    ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
   != $true ),
    inference(forward_subsumption_resolution,[],[f1101,f501]) ).

thf(f1120,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1113,f502]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : ITP069^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 19:46:03 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13  Running first-order model finding
% 0.09/0.13  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
% 0.09/0.19  % (595308)Will run a generic schedule for satisfiability detection.
% 0.09/0.19  % (595318)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4089044248:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.19  % (595317)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3650266703:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.19  % (595313)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1938927035_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.19  % (595316)dis+10_1_sil=32000:sp=arity:random_seed=679438075:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.19  % (595315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3464249246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.19  % (595319)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2611090952:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.19  % (595314)% WARNING: option uhcvi not known.
% 0.09/0.19  % (595317)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.19  % (595314)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3036701275:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.19  % Exception at run slice level
% 0.09/0.19  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.19  % (595314)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.19  % (595318) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-595308-595318"...
% 0.09/0.19  % (595318)...printing done.
% 0.09/0.19  % (595318)Refutation found. Thanks to Tanya!
% 0.09/0.19  % SZS status Theorem for theBenchmark
% 0.09/0.19  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.19  % (595318)------------------------------
% 0.09/0.19  % (595318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.19  % (595318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.19  % (595318)CaDiCaL version: 2.1.3
% 0.09/0.19  % (595318)Termination reason: Refutation
% 0.09/0.19  % (595318)Time elapsed: 0.022 s
% 0.09/0.19  % (595318)Peak memory usage: 13 MB
% 0.09/0.19  % (595318)Instructions burned: 91 (million)
% 0.09/0.19  % (595308)Success in time 0.053 s
% 0.09/0.19  % Vampire exiting
%------------------------------------------------------------------------------