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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP066^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:08:11 AM UTC 2026

% Result   : Theorem 1.07s 0.53s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   54 (  30 unt;   0 typ;   6 def)
%            Number of atoms       :   84 (  33 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  483 (  31   ~;  24   |;   0   &; 422   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   33 (  32 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  393 ( 391 usr;  25 con; 0-6 aty)
%            Number of variables   :   43 (   0 sgn  43   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1066112583iset_a: $tType ).

thf(type_def_6,type,
    produc741964647iset_a: $tType ).

thf(type_def_7,type,
    set_Pr146455751iset_a: $tType ).

thf(type_def_8,type,
    set_Pr295926343Tree_a: $tType ).

thf(type_def_9,type,
    produc558600423iset_a: $tType ).

thf(type_def_10,type,
    produc1136638567Tree_a: $tType ).

thf(type_def_11,type,
    set_Pr1821581383od_a_a: $tType ).

thf(type_def_12,type,
    set_Pr220561863Tree_a: $tType ).

thf(type_def_13,type,
    produc2061001575od_a_a: $tType ).

thf(type_def_14,type,
    set_Pr720484615iset_a: $tType ).

thf(type_def_15,type,
    produc1254371559Tree_a: $tType ).

thf(type_def_16,type,
    produc1293660967iset_a: $tType ).

thf(type_def_17,type,
    set_Pr1948701895od_a_a: $tType ).

thf(type_def_18,type,
    multis782275565iset_a: $tType ).

thf(type_def_19,type,
    produc1572603623od_a_a: $tType ).

thf(type_def_20,type,
    set_Pr158363655iset_a: $tType ).

thf(type_def_21,type,
    produc1127127335iset_a: $tType ).

thf(type_def_22,type,
    multis2082063201Tree_a: $tType ).

thf(type_def_23,type,
    set_Pr1070816379Tree_a: $tType ).

thf(type_def_24,type,
    set_Pr921883667ee_a_a: $tType ).

thf(type_def_25,type,
    multis599418605od_a_a: $tType ).

thf(type_def_26,type,
    produc143150363Tree_a: $tType ).

thf(type_def_27,type,
    produc981471411ee_a_a: $tType ).

thf(type_def_28,type,
    set_Product_prod_a_a: $tType ).

thf(type_def_29,type,
    multiset_multiset_a: $tType ).

thf(type_def_30,type,
    set_multiset_a: $tType ).

thf(type_def_31,type,
    product_prod_a_a: $tType ).

thf(type_def_32,type,
    multiset_a: $tType ).

thf(type_def_33,type,
    list_a: $tType ).

thf(type_def_34,type,
    tree_a: $tType ).

thf(type_def_35,type,
    set_a: $tType ).

thf(type_def_36,type,
    a: $tType ).

thf(type_def_37,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    plus_p1957546689iset_a: multiset_multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_1,type,
    plus_p1919096612iset_a: multis782275565iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_2,type,
    plus_p1065544216Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_3,type,
    plus_p404985124od_a_a: multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_4,type,
    plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).

thf(func_def_5,type,
    zero_z1580389697iset_a: multiset_multiset_a ).

thf(func_def_6,type,
    zero_z1941791140iset_a: multis782275565iset_a ).

thf(func_def_7,type,
    zero_z2144236696Tree_a: multis2082063201Tree_a ).

thf(func_def_8,type,
    zero_z160849828od_a_a: multis599418605od_a_a ).

thf(func_def_9,type,
    zero_zero_multiset_a: multiset_a ).

thf(func_def_10,type,
    nO_MAT1617603563iset_a: multiset_a > multiset_a > $o ).

thf(func_def_11,type,
    heapIm970322378pify_a: tree_a > tree_a ).

thf(func_def_12,type,
    heapIm229596386mpty_a: tree_a > $o ).

thf(func_def_13,type,
    heapIm1057938560list_a: list_a > tree_a ).

thf(func_def_14,type,
    heapIm915766629_max_a: tree_a > produc143150363Tree_a ).

thf(func_def_15,type,
    heapIm1140443833left_a: tree_a > tree_a ).

thf(func_def_16,type,
    heapIm1637418125tree_a: list_a > tree_a ).

thf(func_def_17,type,
    heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).

thf(func_def_18,type,
    heapIm1257206334ight_a: tree_a > tree_a ).

thf(func_def_19,type,
    heapIm1091024090Down_a: tree_a > tree_a ).

thf(func_def_20,type,
    heap_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).

thf(func_def_21,type,
    heap_a_a: a > ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).

thf(func_def_22,type,
    heap_axioms_Tree_a_a: ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).

thf(func_def_23,type,
    heap_axioms_a_a: ( a > $o ) > ( list_a > a ) > ( a > multiset_a ) > ( a > tree_a ) > ( a > product_prod_a_a ) > $o ).

thf(func_def_24,type,
    e_a: tree_a ).

thf(func_def_25,type,
    t_a: a > tree_a > tree_a > tree_a ).

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

thf(func_def_27,type,
    is_heap_a: tree_a > $o ).

thf(func_def_28,type,
    multiset_a2: tree_a > multiset_a ).

thf(func_def_29,type,
    val_a: tree_a > a ).

thf(func_def_30,type,
    if_Pro1144176865Tree_a: $o > produc143150363Tree_a > produc143150363Tree_a > produc143150363Tree_a ).

thf(func_def_31,type,
    lattic146396397_Max_a: set_a > a ).

thf(func_def_32,type,
    add_mset_multiset_a: multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_33,type,
    add_ms1353365509iset_a: produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_34,type,
    add_ms205941497Tree_a: produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_35,type,
    add_ms1725977093od_a_a: product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_36,type,
    add_mset_a: a > multiset_a > multiset_a ).

thf(func_def_37,type,
    comm_m315775925iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_38,type,
    is_empty_a: multiset_a > $o ).

thf(func_def_39,type,
    mult1_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).

thf(func_def_40,type,
    mult1_599785114iset_a: set_Pr146455751iset_a > set_Pr1066112583iset_a ).

thf(func_def_41,type,
    mult1_470979598Tree_a: set_Pr220561863Tree_a > set_Pr295926343Tree_a ).

thf(func_def_42,type,
    mult1_1719650714od_a_a: set_Pr1948701895od_a_a > set_Pr1821581383od_a_a ).

thf(func_def_43,type,
    mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_44,type,
    mult_multiset_a: set_Pr158363655iset_a > set_Pr720484615iset_a ).

thf(func_def_45,type,
    mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).

thf(func_def_46,type,
    set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).

thf(func_def_47,type,
    set_ms1768116836iset_a: multis782275565iset_a > set_Pr158363655iset_a ).

thf(func_def_48,type,
    set_ms1129970904Tree_a: multis2082063201Tree_a > set_Pr1070816379Tree_a ).

thf(func_def_49,type,
    set_ms1818337124od_a_a: multis599418605od_a_a > set_Product_prod_a_a ).

thf(func_def_50,type,
    set_mset_a: multiset_a > set_a ).

thf(func_def_51,type,
    ord_le1748873858_a_a_o: ( tree_a > a > $o ) > ( tree_a > a > $o ) > $o ).

thf(func_def_52,type,
    ord_le51495822et_a_o: ( multiset_a > multiset_a > $o ) > ( multiset_a > multiset_a > $o ) > $o ).

thf(func_def_53,type,
    ord_le1327026842ee_a_o: ( a > tree_a > $o ) > ( a > tree_a > $o ) > $o ).

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

thf(func_def_55,type,
    ord_le1199012836iset_a: multiset_a > multiset_a > $o ).

thf(func_def_56,type,
    ord_le864074675ee_a_a: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > $o ).

thf(func_def_57,type,
    ord_le1978107815iset_a: set_Pr158363655iset_a > set_Pr158363655iset_a > $o ).

thf(func_def_58,type,
    ord_le1013007387Tree_a: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > $o ).

thf(func_def_59,type,
    ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_60,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_61,type,
    ord_less_eq_a: a > a > $o ).

thf(func_def_62,type,
    produc649172771ee_a_a: tree_a > a > produc981471411ee_a_a ).

thf(func_def_63,type,
    produc1444952343iset_a: multiset_multiset_a > multiset_multiset_a > produc1293660967iset_a ).

thf(func_def_64,type,
    produc1226985431iset_a: multis782275565iset_a > multis782275565iset_a > produc741964647iset_a ).

thf(func_def_65,type,
    produc1608222167Tree_a: multis2082063201Tree_a > multis2082063201Tree_a > produc1136638567Tree_a ).

thf(func_def_66,type,
    produc1859144151od_a_a: multis599418605od_a_a > multis599418605od_a_a > produc2061001575od_a_a ).

thf(func_def_67,type,
    produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).

thf(func_def_68,type,
    produc1898392407iset_a: produc1127127335iset_a > produc1127127335iset_a > produc558600423iset_a ).

thf(func_def_69,type,
    produc1002111575Tree_a: produc143150363Tree_a > produc143150363Tree_a > produc1254371559Tree_a ).

thf(func_def_70,type,
    produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).

thf(func_def_71,type,
    produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).

thf(func_def_72,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(func_def_73,type,
    product_fst_Tree_a_a: produc981471411ee_a_a > tree_a ).

thf(func_def_74,type,
    produc653373187iset_a: produc1127127335iset_a > multiset_a ).

thf(func_def_75,type,
    product_fst_a_Tree_a: produc143150363Tree_a > a ).

thf(func_def_76,type,
    product_fst_a_a: product_prod_a_a > a ).

thf(func_def_77,type,
    product_snd_Tree_a_a: produc981471411ee_a_a > a ).

thf(func_def_78,type,
    produc148952133iset_a: produc1127127335iset_a > multiset_a ).

thf(func_def_79,type,
    product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).

thf(func_def_80,type,
    product_snd_a_a: product_prod_a_a > a ).

thf(func_def_81,type,
    produc1478296771ee_a_a: produc981471411ee_a_a > produc143150363Tree_a ).

thf(func_def_82,type,
    produc506430135iset_a: produc1127127335iset_a > produc1127127335iset_a ).

thf(func_def_83,type,
    produc1515207979Tree_a: produc143150363Tree_a > produc981471411ee_a_a ).

thf(func_def_84,type,
    product_swap_a_a: product_prod_a_a > product_prod_a_a ).

thf(func_def_85,type,
    irrefl_a: set_Product_prod_a_a > $o ).

thf(func_def_86,type,
    trans_multiset_a: set_Pr158363655iset_a > $o ).

thf(func_def_87,type,
    trans_a: set_Product_prod_a_a > $o ).

thf(func_def_88,type,
    collection_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > $o ).

thf(func_def_89,type,
    collec1104713362iset_a: ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a ).

thf(func_def_90,type,
    collec486369286Tree_a: ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a ).

thf(func_def_91,type,
    collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).

thf(func_def_92,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_93,type,
    member_multiset_a: multiset_a > set_multiset_a > $o ).

thf(func_def_94,type,
    member1092636252ee_a_a: produc981471411ee_a_a > set_Pr921883667ee_a_a > $o ).

thf(func_def_95,type,
    member104214352iset_a: produc1293660967iset_a > set_Pr720484615iset_a > $o ).

thf(func_def_96,type,
    member219455632iset_a: produc741964647iset_a > set_Pr1066112583iset_a > $o ).

thf(func_def_97,type,
    member1298282640Tree_a: produc1136638567Tree_a > set_Pr295926343Tree_a > $o ).

thf(func_def_98,type,
    member1349055120od_a_a: produc2061001575od_a_a > set_Pr1821581383od_a_a > $o ).

thf(func_def_99,type,
    member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).

thf(func_def_100,type,
    member567864080iset_a: produc558600423iset_a > set_Pr146455751iset_a > $o ).

thf(func_def_101,type,
    member146662416Tree_a: produc1254371559Tree_a > set_Pr220561863Tree_a > $o ).

thf(func_def_102,type,
    member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_103,type,
    member254315204Tree_a: produc143150363Tree_a > set_Pr1070816379Tree_a > $o ).

thf(func_def_104,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

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

thf(func_def_106,type,
    l1: tree_a ).

thf(func_def_107,type,
    l2: tree_a ).

thf(func_def_108,type,
    r1: tree_a ).

thf(func_def_109,type,
    r2: tree_a ).

thf(func_def_110,type,
    t: tree_a ).

thf(func_def_111,type,
    t2: tree_a ).

thf(func_def_112,type,
    t_a2: tree_a ).

thf(func_def_113,type,
    v1: a ).

thf(func_def_114,type,
    v2: a ).

thf(func_def_115,type,
    v: a ).

thf(func_def_116,type,
    v_a: a ).

thf(func_def_117,type,
    v3: a ).

thf(func_def_121,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_122,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_123,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_124,type,
    vAND: $o > $o > $o ).

thf(func_def_125,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_126,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_127,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_128,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_129,type,
    vIMP: $o > $o > $o ).

thf(func_def_130,type,
    vNOT: $o > $o ).

thf(func_def_131,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_132,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_133,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_134,type,
    sP0: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > $o ).

thf(func_def_135,type,
    sP1: ( a > tree_a ) > ( a > product_prod_a_a ) > ( a > $o ) > $o ).

thf(func_def_136,type,
    sP2: ( tree_a > $o ) > $o ).

thf(func_def_137,type,
    sP3: ( tree_a > $o ) > $o ).

thf(func_def_138,type,
    sP4: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > $o ).

thf(func_def_139,type,
    sP5: ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > ( tree_a > $o ) > $o ).

thf(func_def_140,type,
    sK6: ( a > tree_a ) > ( a > product_prod_a_a ) > ( a > $o ) > a ).

thf(func_def_141,type,
    sK7: ( a > tree_a ) > ( a > product_prod_a_a ) > ( a > $o ) > a ).

thf(func_def_142,type,
    sK8: ( a > tree_a ) > ( a > product_prod_a_a ) > ( a > $o ) > a ).

thf(func_def_143,type,
    sK9: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_144,type,
    sK10: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_145,type,
    sK11: ( a > $o ) > ( a > product_prod_a_a ) > ( a > tree_a ) > a ).

thf(func_def_146,type,
    sK12: ( a > multiset_a ) > ( a > tree_a ) > a ).

thf(func_def_147,type,
    sK13: ( a > $o ) > ( a > tree_a ) > a ).

thf(func_def_148,type,
    sK14: ( a > product_prod_a_a ) > ( a > $o ) > ( a > multiset_a ) > a ).

thf(func_def_149,type,
    sK15: ( a > product_prod_a_a ) > ( a > $o ) > ( a > multiset_a ) > a ).

thf(func_def_150,type,
    sK16: ( a > product_prod_a_a ) > ( a > $o ) > ( a > multiset_a ) > a ).

thf(func_def_151,type,
    sK17: ( list_a > a ) > ( a > tree_a ) > list_a ).

thf(func_def_152,type,
    sK18: multiset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_153,type,
    sK19: set_Pr158363655iset_a > ( produc1127127335iset_a > $o ) > produc1127127335iset_a ).

thf(func_def_154,type,
    sK20: ( produc1127127335iset_a > $o ) > ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a > produc1127127335iset_a ).

thf(func_def_155,type,
    sK21: set_a > ( a > $o ) > a ).

thf(func_def_156,type,
    sK22: produc143150363Tree_a > tree_a ).

thf(func_def_157,type,
    sK23: produc143150363Tree_a > a ).

thf(func_def_158,type,
    sK24: product_prod_a_a > a ).

thf(func_def_159,type,
    sK25: product_prod_a_a > a ).

thf(func_def_160,type,
    sK26: produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_161,type,
    sK27: multiset_a > a > set_Product_prod_a_a > a ).

thf(func_def_162,type,
    sK28: set_Pr1070816379Tree_a > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).

thf(func_def_163,type,
    sK29: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_164,type,
    sK30: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_165,type,
    sK31: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_166,type,
    sK32: a > set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_167,type,
    sK33: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > tree_a ).

thf(func_def_168,type,
    sK34: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > a ).

thf(func_def_169,type,
    sK35: produc981471411ee_a_a > tree_a ).

thf(func_def_170,type,
    sK36: produc981471411ee_a_a > a ).

thf(func_def_171,type,
    sK37: multis782275565iset_a > set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a ).

thf(func_def_172,type,
    sK38: multis782275565iset_a > set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_173,type,
    sK39: multis782275565iset_a > set_Pr146455751iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_174,type,
    sK40: multis599418605od_a_a > set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a ).

thf(func_def_175,type,
    sK41: ( produc143150363Tree_a > $o ) > tree_a ).

thf(func_def_176,type,
    sK42: ( produc143150363Tree_a > $o ) > a ).

thf(func_def_177,type,
    sK43: a > multiset_a > set_Product_prod_a_a > multiset_a > multiset_a ).

thf(func_def_178,type,
    sK44: a > multiset_a > set_Product_prod_a_a > multiset_a > multiset_a ).

thf(func_def_179,type,
    sK45: produc1127127335iset_a > multiset_a ).

thf(func_def_180,type,
    sK46: produc1127127335iset_a > multiset_a ).

thf(func_def_181,type,
    sK47: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > a ).

thf(func_def_182,type,
    sK48: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > tree_a ).

thf(func_def_183,type,
    sK49: multis2082063201Tree_a > produc143150363Tree_a ).

thf(func_def_184,type,
    sK50: produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_185,type,
    sK51: tree_a > tree_a ).

thf(func_def_186,type,
    sK52: tree_a > tree_a ).

thf(func_def_187,type,
    sK53: tree_a > a ).

thf(func_def_188,type,
    sK54: multiset_a > set_Product_prod_a_a > multiset_a > a ).

thf(func_def_189,type,
    sK55: ( multiset_a > $o ) > a ).

thf(func_def_190,type,
    sK56: ( multiset_a > $o ) > multiset_a ).

thf(func_def_191,type,
    sK57: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_192,type,
    sK58: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_193,type,
    sK59: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_194,type,
    sK60: ( multiset_a > multiset_a > $o ) > a ).

thf(func_def_195,type,
    sK61: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_196,type,
    sK62: ( multiset_a > multiset_a > $o ) > multiset_a ).

thf(func_def_197,type,
    sK63: tree_a > a ).

thf(func_def_198,type,
    sK64: tree_a > tree_a ).

thf(func_def_199,type,
    sK65: tree_a > a ).

thf(func_def_200,type,
    sK66: tree_a > tree_a ).

thf(func_def_201,type,
    sK67: tree_a > tree_a ).

thf(func_def_202,type,
    sK68: tree_a > a ).

thf(func_def_203,type,
    sK69: tree_a > tree_a ).

thf(func_def_204,type,
    sK70: tree_a > a ).

thf(func_def_205,type,
    sK71: tree_a > a ).

thf(func_def_206,type,
    sK72: tree_a > tree_a ).

thf(func_def_207,type,
    sK73: tree_a > a ).

thf(func_def_208,type,
    sK74: tree_a > tree_a ).

thf(func_def_209,type,
    sK75: tree_a > tree_a ).

thf(func_def_210,type,
    sK76: tree_a > tree_a ).

thf(func_def_211,type,
    sK77: tree_a > a ).

thf(func_def_212,type,
    sK78: tree_a > a ).

thf(func_def_213,type,
    sK79: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_214,type,
    sK80: set_Product_prod_a_a > multiset_a > multiset_a > a ).

thf(func_def_215,type,
    sK81: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).

thf(func_def_216,type,
    sK82: produc1127127335iset_a > multiset_a ).

thf(func_def_217,type,
    sK83: produc1127127335iset_a > multiset_a ).

thf(func_def_218,type,
    sK84: ( produc981471411ee_a_a > $o ) > tree_a ).

thf(func_def_219,type,
    sK85: ( produc981471411ee_a_a > $o ) > a ).

thf(func_def_220,type,
    sK86: a > product_prod_a_a > a ).

thf(func_def_221,type,
    sK87: multis2082063201Tree_a > set_Pr220561863Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_222,type,
    sK88: multis2082063201Tree_a > set_Pr220561863Tree_a > produc143150363Tree_a > multis2082063201Tree_a > multis2082063201Tree_a ).

thf(func_def_223,type,
    sK89: ( a > $o ) > set_a > ( a > $o ) > a ).

thf(func_def_224,type,
    sK90: multiset_multiset_a > set_Pr158363655iset_a > multiset_a > multiset_a ).

thf(func_def_225,type,
    sK91: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).

thf(func_def_226,type,
    sK92: set_Pr158363655iset_a > set_Pr158363655iset_a > multiset_a ).

thf(func_def_227,type,
    sK93: set_Product_prod_a_a > a ).

thf(func_def_228,type,
    sK94: set_Product_prod_a_a > a ).

thf(func_def_229,type,
    sK95: set_Product_prod_a_a > a ).

thf(func_def_230,type,
    sK96: tree_a > a ).

thf(func_def_231,type,
    sK97: tree_a > tree_a ).

thf(func_def_232,type,
    sK98: tree_a > tree_a ).

thf(func_def_233,type,
    sK99: tree_a > a ).

thf(func_def_234,type,
    sK100: tree_a > a ).

thf(func_def_235,type,
    sK101: tree_a > tree_a ).

thf(func_def_236,type,
    sK102: tree_a > tree_a ).

thf(func_def_237,type,
    sK103: tree_a > a ).

thf(func_def_238,type,
    sK104: tree_a > tree_a ).

thf(func_def_239,type,
    sK105: tree_a > a ).

thf(func_def_240,type,
    sK106: tree_a > a ).

thf(func_def_241,type,
    sK107: tree_a > tree_a ).

thf(func_def_242,type,
    sK108: tree_a > a ).

thf(func_def_243,type,
    sK109: tree_a > a ).

thf(func_def_244,type,
    sK110: tree_a > tree_a ).

thf(func_def_245,type,
    sK111: tree_a > tree_a ).

thf(func_def_246,type,
    sK112: multiset_multiset_a > multiset_a > multiset_multiset_a ).

thf(func_def_247,type,
    sK113: product_prod_a_a > a > a ).

thf(func_def_248,type,
    sK114: ( product_prod_a_a > $o ) > a ).

thf(func_def_249,type,
    sK115: ( product_prod_a_a > $o ) > a ).

thf(func_def_250,type,
    sK116: multis2082063201Tree_a > multis2082063201Tree_a > set_Pr220561863Tree_a > multis2082063201Tree_a ).

thf(func_def_251,type,
    sK117: multis2082063201Tree_a > multis2082063201Tree_a > set_Pr220561863Tree_a > produc143150363Tree_a ).

thf(func_def_252,type,
    sK118: multis2082063201Tree_a > multis2082063201Tree_a > set_Pr220561863Tree_a > multis2082063201Tree_a ).

thf(func_def_253,type,
    sK119: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_a ).

thf(func_def_254,type,
    sK120: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_255,type,
    sK121: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_256,type,
    sK122: set_Pr146455751iset_a > multis782275565iset_a > produc1127127335iset_a > produc1127127335iset_a ).

thf(func_def_257,type,
    sK123: ( produc143150363Tree_a > $o ) > a ).

thf(func_def_258,type,
    sK124: ( produc143150363Tree_a > $o ) > tree_a ).

thf(func_def_259,type,
    sK125: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a ).

thf(func_def_260,type,
    sK126: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_261,type,
    sK127: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a ).

thf(func_def_262,type,
    sK128: ( tree_a > $o ) > tree_a ).

thf(func_def_263,type,
    sK129: ( tree_a > $o ) > a ).

thf(func_def_264,type,
    sK130: ( tree_a > $o ) > tree_a ).

thf(func_def_265,type,
    sK131: ( tree_a > $o ) > a ).

thf(func_def_266,type,
    sK132: ( tree_a > $o ) > tree_a ).

thf(func_def_267,type,
    sK133: ( tree_a > $o ) > a ).

thf(func_def_268,type,
    sK134: ( tree_a > $o ) > a ).

thf(func_def_269,type,
    sK135: ( tree_a > $o ) > tree_a ).

thf(func_def_270,type,
    sK136: ( tree_a > $o ) > tree_a ).

thf(func_def_271,type,
    sK137: ( tree_a > $o ) > tree_a ).

thf(func_def_272,type,
    sK138: ( tree_a > $o ) > a ).

thf(func_def_273,type,
    sK139: ( tree_a > $o ) > a ).

thf(func_def_274,type,
    sK140: ( tree_a > $o ) > tree_a ).

thf(func_def_275,type,
    sK141: ( tree_a > $o ) > a ).

thf(func_def_276,type,
    sK142: ( tree_a > $o ) > tree_a ).

thf(func_def_277,type,
    sK143: ( tree_a > $o ) > a ).

thf(func_def_278,type,
    sK144: ( tree_a > $o ) > tree_a ).

thf(func_def_279,type,
    sK145: ( tree_a > $o ) > tree_a ).

thf(func_def_280,type,
    sK146: ( tree_a > $o ) > a ).

thf(func_def_281,type,
    sK147: ( tree_a > $o ) > tree_a ).

thf(func_def_282,type,
    sK148: ( tree_a > $o ) > tree_a ).

thf(func_def_283,type,
    sK149: ( tree_a > $o ) > a ).

thf(func_def_284,type,
    sK150: ( tree_a > $o ) > a ).

thf(func_def_285,type,
    sK151: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_286,type,
    sK152: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_287,type,
    sK153: a > tree_a > tree_a ).

thf(func_def_288,type,
    sK154: a > tree_a > a ).

thf(func_def_289,type,
    sK155: a > tree_a > tree_a ).

thf(func_def_290,type,
    sK156: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).

thf(func_def_291,type,
    sK157: multiset_multiset_a > multiset_a ).

thf(func_def_292,type,
    sK158: multiset_a > a > a > multiset_a > multiset_a ).

thf(func_def_293,type,
    sK159: product_prod_a_a > a ).

thf(func_def_294,type,
    sK160: product_prod_a_a > a ).

thf(func_def_295,type,
    sK161: produc143150363Tree_a > tree_a > a ).

thf(func_def_296,type,
    sK162: a > produc981471411ee_a_a > tree_a ).

thf(func_def_297,type,
    sK163: ( multiset_a > $o ) > multiset_a ).

thf(func_def_298,type,
    sK164: ( multiset_a > $o ) > a ).

thf(func_def_299,type,
    sK165: multiset_a > a ).

thf(func_def_300,type,
    sK166: multiset_a > multiset_a ).

thf(func_def_301,type,
    sK167: multiset_multiset_a > multiset_a ).

thf(func_def_302,type,
    sK168: ( product_prod_a_a > $o ) > set_Product_prod_a_a > product_prod_a_a ).

thf(func_def_303,type,
    sK169: produc1127127335iset_a > multis782275565iset_a > multis782275565iset_a ).

thf(func_def_304,type,
    sK170: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > set_Pr146455751iset_a > multis782275565iset_a ).

thf(func_def_305,type,
    sK171: multis782275565iset_a > produc1127127335iset_a > multis782275565iset_a > set_Pr146455751iset_a > multis782275565iset_a ).

thf(func_def_306,type,
    sK172: produc143150363Tree_a > a > tree_a ).

thf(func_def_307,type,
    sK173: multiset_multiset_a > multiset_multiset_a > multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).

thf(func_def_308,type,
    sK174: multiset_multiset_a > multiset_multiset_a > multiset_a > set_Pr158363655iset_a > multiset_multiset_a ).

thf(func_def_309,type,
    sK175: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).

thf(func_def_310,type,
    sK176: tree_a > produc981471411ee_a_a > a ).

thf(func_def_311,type,
    sK177: multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a ).

thf(func_def_312,type,
    sK178: multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a ).

thf(func_def_313,type,
    sK179: multiset_a > a > multiset_a ).

thf(func_def_314,type,
    sK180: produc981471411ee_a_a > a ).

thf(func_def_315,type,
    sK181: produc981471411ee_a_a > tree_a ).

thf(func_def_316,type,
    sK182: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a > produc143150363Tree_a ).

thf(func_def_317,type,
    sK183: multiset_a > produc1127127335iset_a > multiset_a ).

thf(func_def_318,type,
    sK184: set_Pr220561863Tree_a > produc143150363Tree_a > multis2082063201Tree_a > produc143150363Tree_a ).

thf(func_def_319,type,
    sK185: set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a > multiset_a ).

thf(func_def_320,type,
    sK186: ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > ( tree_a > $o ) > a ).

thf(func_def_321,type,
    sK187: ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > ( tree_a > $o ) > tree_a ).

thf(func_def_322,type,
    sK188: ( tree_a > produc143150363Tree_a ) > ( tree_a > multiset_a ) > ( tree_a > $o ) > tree_a ).

thf(func_def_323,type,
    sK189: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_324,type,
    sK190: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_325,type,
    sK191: ( tree_a > $o ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > tree_a ) > a ).

thf(func_def_326,type,
    sK192: ( tree_a > tree_a ) > ( list_a > tree_a ) > list_a ).

thf(func_def_327,type,
    sK193: ( tree_a > tree_a ) > ( tree_a > multiset_a ) > tree_a ).

thf(func_def_328,type,
    sK194: ( tree_a > $o ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > a ).

thf(func_def_329,type,
    sK195: ( tree_a > $o ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_330,type,
    sK196: ( tree_a > $o ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > tree_a ).

thf(func_def_331,type,
    sK197: ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).

thf(func_def_332,type,
    sK198: multiset_a > a ).

thf(func_def_333,type,
    sK199: multiset_a > multiset_a ).

thf(func_def_334,type,
    sK200: multis599418605od_a_a > product_prod_a_a ).

thf(func_def_335,type,
    sK201: ( a > tree_a > $o ) > a ).

thf(func_def_336,type,
    sK202: ( a > tree_a > $o ) > tree_a ).

thf(func_def_337,type,
    sK203: set_Product_prod_a_a > set_Product_prod_a_a > a ).

thf(func_def_338,type,
    sK204: set_Product_prod_a_a > set_Product_prod_a_a > a ).

thf(func_def_339,type,
    sK205: multis2082063201Tree_a > produc143150363Tree_a > multis2082063201Tree_a ).

thf(func_def_340,type,
    sK206: multiset_a > a ).

thf(func_def_341,type,
    sK207: ( product_prod_a_a > $o ) > a ).

thf(func_def_342,type,
    sK208: ( product_prod_a_a > $o ) > a ).

thf(func_def_343,type,
    sK209: multis782275565iset_a > produc1127127335iset_a ).

thf(func_def_344,type,
    sK210: ( tree_a > $o ) > a ).

thf(func_def_345,type,
    sK211: ( tree_a > $o ) > tree_a ).

thf(func_def_346,type,
    sK212: ( tree_a > $o ) > tree_a ).

thf(func_def_347,type,
    sK213: ( multiset_a > $o ) > a ).

thf(func_def_348,type,
    sK214: ( multiset_a > $o ) > multiset_a ).

thf(func_def_349,type,
    sK215: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > set_Product_prod_a_a > product_prod_a_a ).

thf(func_def_350,type,
    sK216: produc143150363Tree_a > a ).

thf(func_def_351,type,
    sK217: produc143150363Tree_a > tree_a ).

thf(func_def_352,type,
    sK218: a > multiset_a > multiset_a ).

thf(func_def_353,type,
    sK219: ( produc981471411ee_a_a > $o ) > tree_a ).

thf(func_def_354,type,
    sK220: ( produc981471411ee_a_a > $o ) > a ).

thf(func_def_355,type,
    sK221: multiset_a > produc1127127335iset_a > multiset_a ).

thf(func_def_356,type,
    sK222: tree_a > tree_a ).

thf(func_def_357,type,
    sK223: tree_a > a ).

thf(func_def_358,type,
    sK224: tree_a > a ).

thf(func_def_359,type,
    sK225: tree_a > tree_a ).

thf(func_def_360,type,
    sK226: tree_a > tree_a ).

thf(func_def_361,type,
    sK227: tree_a > tree_a ).

thf(func_def_362,type,
    sK228: tree_a > a ).

thf(func_def_363,type,
    sK229: tree_a > a ).

thf(func_def_364,type,
    sK230: tree_a > tree_a ).

thf(func_def_365,type,
    sK231: tree_a > tree_a ).

thf(func_def_366,type,
    sK232: tree_a > a ).

thf(func_def_367,type,
    sK233: tree_a > a ).

thf(func_def_368,type,
    sK234: tree_a > tree_a ).

thf(func_def_369,type,
    sK235: tree_a > a ).

thf(func_def_370,type,
    sK236: tree_a > a ).

thf(func_def_371,type,
    sK237: tree_a > a ).

thf(func_def_372,type,
    sK238: tree_a > tree_a ).

thf(func_def_373,type,
    sK239: tree_a > tree_a ).

thf(func_def_374,type,
    sK240: tree_a > tree_a ).

thf(func_def_375,type,
    sK241: tree_a > tree_a ).

thf(func_def_376,type,
    sK242: tree_a > tree_a ).

thf(func_def_377,type,
    sK243: tree_a > a ).

thf(func_def_378,type,
    sK244: tree_a > a ).

thf(func_def_379,type,
    sK245: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_380,type,
    sK246: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_381,type,
    sK247: multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_multiset_a ).

thf(func_def_382,type,
    sK248: multiset_a > multiset_multiset_a > set_Pr158363655iset_a > multiset_multiset_a > multiset_a ).

thf(func_def_383,type,
    sK249: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_384,type,
    sK250: ( produc1127127335iset_a > $o ) > multiset_a ).

thf(func_def_385,type,
    sK251: ( tree_a > a > $o ) > tree_a ).

thf(func_def_386,type,
    sK252: ( tree_a > a > $o ) > a ).

thf(f1,axiom,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C4__2_Oprems_C_I1_J) ).

thf(f4,axiom,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062) ).

thf(f7,axiom,
    ! [X3: tree_a,X2: tree_a,X0: a,X5: tree_a,X4: a,X1: a,X6: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X0 @ ( t_a @ X1 @ X2 @ X3 ) @ ( t_a @ X4 @ X5 @ X6 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X0 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) ) @ ( t_a @ X4 @ X5 @ X6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_removeLeaf_Osimps_I4_J) ).

thf(f23,axiom,
    ! [X1: tree_a,X0: a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
      = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_fst__conv) ).

thf(f357,conjecture,
    ( v_a
    = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f358,negated_conjecture,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f357]) ).

thf(f839,plain,
    ! [X4: a,X1: tree_a,X3: tree_a,X2: a,X6: tree_a,X0: tree_a,X5: a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X5 @ X1 @ X0 ) @ ( t_a @ X4 @ X3 @ X6 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X5 @ X1 @ X0 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X5 @ X1 @ X0 ) ) ) @ ( t_a @ X4 @ X3 @ X6 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f847,plain,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(flattening,[],[f358]) ).

thf(f864,plain,
    ! [X1: a,X0: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X1 @ X0 ) )
      = X1 ),
    inference(rectify,[],[f23]) ).

thf(f1264,plain,
    ! [X0: a,X1: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
      = X0 ),
    inference(rectify,[],[f864]) ).

thf(f1398,plain,
    ! [X0: a,X1: tree_a,X2: tree_a,X3: a,X4: tree_a,X5: tree_a,X6: a] :
      ( ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X6 @ X1 @ X5 ) ) ) @ ( t_a @ X3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X6 @ X1 @ X5 ) ) ) @ ( t_a @ X0 @ X2 @ X4 ) ) )
      = ( heapIm837449470Leaf_a @ ( t_a @ X3 @ ( t_a @ X6 @ X1 @ X5 ) @ ( t_a @ X0 @ X2 @ X4 ) ) ) ),
    inference(rectify,[],[f839]) ).

thf(f1725,plain,
    ! [X0: a,X1: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
      = X0 ),
    inference(cnf_transformation,[],[f1264]) ).

thf(f1848,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1905,plain,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f1917,plain,
    ! [X2: tree_a,X3: a,X0: a,X1: tree_a,X6: a,X4: tree_a,X5: tree_a] :
      ( ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X6 @ X1 @ X5 ) ) ) @ ( t_a @ X3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X6 @ X1 @ X5 ) ) ) @ ( t_a @ X0 @ X2 @ X4 ) ) )
      = ( heapIm837449470Leaf_a @ ( t_a @ X3 @ ( t_a @ X6 @ X1 @ X5 ) @ ( t_a @ X0 @ X2 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f1398]) ).

thf(f2006,plain,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(cnf_transformation,[],[f847]) ).

thf(f2319,definition,
    ( spl253_3
  <=> ( t_a2
      = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_3])],[avatar_definition]) ).

thf(f2321,plain,
    ( ( t_a2
      = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
    | ~ spl253_3 ),
    inference(avatar_component_clause,[],[f2319]) ).

thf(f2322,plain,
    spl253_3,
    inference(avatar_split_clause,[],[f1905,f2319]) ).

thf(f2349,definition,
    ( spl253_9
  <=> ( ( produc686083979Tree_a @ v_a @ t_a2 )
      = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_9])],[avatar_definition]) ).

thf(f2351,plain,
    ( ( ( produc686083979Tree_a @ v_a @ t_a2 )
      = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
    | ~ spl253_9 ),
    inference(avatar_component_clause,[],[f2349]) ).

thf(f2352,plain,
    spl253_9,
    inference(avatar_split_clause,[],[f1848,f2349]) ).

thf(f2379,definition,
    ( spl253_15
  <=> ( v_a
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_15])],[avatar_definition]) ).

thf(f2381,plain,
    ( ( v_a
     != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) )
    | spl253_15 ),
    inference(avatar_component_clause,[],[f2379]) ).

thf(f2382,plain,
    ~ spl253_15,
    inference(avatar_split_clause,[],[f2006,f2379]) ).

thf(f2514,plain,
    ( ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
      = ( produc686083979Tree_a @ v_a @ ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
    | ~ spl253_3
    | ~ spl253_9 ),
    inference(forward_demodulation,[],[f2351,f2321]) ).

thf(f2516,definition,
    ( spl253_35
  <=> ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
      = ( produc686083979Tree_a @ v_a @ ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_35])],[avatar_definition]) ).

thf(f2518,plain,
    ( ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
      = ( produc686083979Tree_a @ v_a @ ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
    | ~ spl253_35 ),
    inference(avatar_component_clause,[],[f2516]) ).

thf(f2519,plain,
    ( spl253_35
    | ~ spl253_3
    | ~ spl253_9 ),
    inference(avatar_split_clause,[],[f2514,f2349,f2319,f2516]) ).

thf(f2531,plain,
    ( ( v_a
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) )
    | ~ spl253_35 ),
    inference(superposition,[],[f1725,f2518]) ).

thf(f2533,definition,
    ( spl253_36
  <=> ( v_a
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_36])],[avatar_definition]) ).

thf(f2535,plain,
    ( ( v_a
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) )
    | ~ spl253_36 ),
    inference(avatar_component_clause,[],[f2533]) ).

thf(f2536,plain,
    ( spl253_36
    | ~ spl253_35 ),
    inference(avatar_split_clause,[],[f2531,f2516,f2533]) ).

thf(f2551,plain,
    ! [X2: tree_a,X3: tree_a,X0: a,X1: a,X6: tree_a,X4: a,X5: tree_a] :
      ( ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X1 @ X2 @ X3 ) ) )
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X0 @ ( t_a @ X1 @ X2 @ X3 ) @ ( t_a @ X4 @ X5 @ X6 ) ) ) ) ),
    inference(superposition,[],[f1725,f1917]) ).

thf(f2835,plain,
    ( ( ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) )
     != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) )
    | spl253_15
    | ~ spl253_36 ),
    inference(superposition,[],[f2381,f2535]) ).

thf(f2842,definition,
    ( spl253_46
  <=> ( ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) )
      = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl253_46])],[avatar_definition]) ).

thf(f2844,plain,
    ( ( ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) )
     != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) )
    | spl253_46 ),
    inference(avatar_component_clause,[],[f2842]) ).

thf(f2845,plain,
    ( ~ spl253_46
    | spl253_15
    | ~ spl253_36 ),
    inference(avatar_split_clause,[],[f2835,f2533,f2379,f2842]) ).

thf(f3159,plain,
    ( ( ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) )
     != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) )
    | spl253_46 ),
    inference(superposition,[],[f2844,f2551]) ).

thf(f3166,plain,
    ( $false
    | spl253_46 ),
    inference(trivial_inequality_removal,[],[f3159]) ).

thf(f3167,plain,
    spl253_46,
    inference(avatar_contradiction_clause,[],[f3166]) ).

cnf(s3,plain,
    spl253_3,
    inference(sat_conversion,[],[f2322]) ).

cnf(s9,plain,
    spl253_9,
    inference(sat_conversion,[],[f2352]) ).

cnf(s16,plain,
    ~ spl253_15,
    inference(sat_conversion,[],[f2382]) ).

cnf(s39,plain,
    ( ~ spl253_3
    | ~ spl253_9
    | spl253_35 ),
    inference(sat_conversion,[],[f2519]) ).

cnf(s40,plain,
    ( ~ spl253_35
    | spl253_36 ),
    inference(sat_conversion,[],[f2536]) ).

cnf(s51,plain,
    ( spl253_15
    | ~ spl253_36
    | ~ spl253_46 ),
    inference(sat_conversion,[],[f2845]) ).

cnf(s61,plain,
    spl253_46,
    inference(sat_conversion,[],[f3167]) ).

cnf(s62,plain,
    ( spl253_15
    | ~ spl253_36 ),
    inference(rat,[],[s51,s61]) ).

cnf(s66,plain,
    ~ spl253_36,
    inference(rat,[],[s62,s16]) ).

cnf(s67,plain,
    ~ spl253_35,
    inference(rat,[],[s40,s66]) ).

cnf(s68,plain,
    ~ spl253_3,
    inference(rat,[],[s39,s67,s9]) ).

cnf(s69,plain,
    $false,
    inference(rat,[],[s3,s68]) ).

thf(f3170,plain,
    $false,
    inference(avatar_sat_refutation,[],[s69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP066^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n006.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 19:45:40 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 0.22/0.30  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.46  % (1219174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.46  % (1219191)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3591657385:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.46  % (1219191)Instruction limit reached! 
% 0.31/0.46  % (1219191)------------------------------
% 0.31/0.46  % (1219191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46  % (1219191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46  % (1219191)CaDiCaL version: 2.1.3
% 0.31/0.46  % (1219191)Termination reason: Instruction limit
% 0.31/0.46  % (1219191)Termination phase: shuffling
% 0.31/0.46  % (1219191)Time elapsed: 0.006 s
% 0.31/0.46  % (1219191)Peak memory usage: 10 MB
% 0.31/0.46  % (1219191)Instructions burned: 27 (million)
% 0.31/0.46  % (1219193)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.46  % (1219190)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1774700057:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.46  % (1219193)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.46  % (1219188)lrs+10_16_si=on:nwc=1.5:random_seed=2794193129:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.46  % (1219187)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=385455618:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.46  % (1219189)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1877187718:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.46  % (1219192)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2844217957:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.46  % (1219189)Instruction limit reached! 
% 0.31/0.46  % (1219189)------------------------------
% 0.31/0.46  % (1219189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46  % (1219189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46  % (1219189)CaDiCaL version: 2.1.3
% 0.31/0.46  % (1219189)Termination reason: Instruction limit
% 0.31/0.46  % (1219189)Termination phase: shuffling
% 0.31/0.46  % (1219189)Time elapsed: 0.002 s
% 0.31/0.46  % (1219189)Peak memory usage: 10 MB
% 0.31/0.46  % (1219189)Instructions burned: 3 (million)
% 0.31/0.46  % (1219193)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=738780138:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.46  % (1219188)Instruction limit reached! 
% 0.31/0.46  % (1219188)------------------------------
% 0.31/0.46  % (1219188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46  % (1219188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46  % (1219188)CaDiCaL version: 2.1.3
% 0.31/0.46  % (1219188)Termination reason: Instruction limit
% 0.31/0.46  % (1219188)Termination phase: shuffling
% 0.31/0.46  % (1219188)Time elapsed: 0.009 s
% 0.31/0.46  % (1219188)Peak memory usage: 10 MB
% 0.31/0.46  % (1219188)Instructions burned: 18 (million)
% 0.31/0.46  % (1219206)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=666618844:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.46  % (1219206)Instruction limit reached! 
% 0.31/0.46  % (1219206)------------------------------
% 0.31/0.46  % (1219206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46  % (1219206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46  % (1219206)CaDiCaL version: 2.1.3
% 0.31/0.46  % (1219206)Termination reason: Instruction limit
% 0.31/0.46  % (1219206)Termination phase: shuffling
% 0.31/0.46  % (1219206)Time elapsed: 0.003 s
% 0.31/0.46  % (1219206)Peak memory usage: 10 MB
% 0.31/0.46  % (1219206)Instructions burned: 14 (million)
% 0.31/0.46  % (1219217)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.49  % (1219212)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3426187992:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.49  % (1219217)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2310919808:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.49  % (1219212)Instruction limit reached! 
% 1.07/0.49  % (1219212)------------------------------
% 1.07/0.49  % (1219212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (1219212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (1219212)CaDiCaL version: 2.1.3
% 1.07/0.49  % (1219212)Termination reason: Instruction limit
% 1.07/0.49  % (1219212)Termination phase: shuffling
% 1.07/0.49  % (1219212)Time elapsed: 0.003 s
% 1.07/0.49  % (1219212)Peak memory usage: 10 MB
% 1.07/0.49  % (1219212)Instructions burned: 6 (million)
% 1.07/0.49  % (1219217)Instruction limit reached! 
% 1.07/0.49  % (1219217)------------------------------
% 1.07/0.49  % (1219217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (1219217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (1219217)CaDiCaL version: 2.1.3
% 1.07/0.49  % (1219217)Termination reason: Instruction limit
% 1.07/0.49  % (1219217)Termination phase: shuffling
% 1.07/0.49  % (1219217)Time elapsed: 0.005 s
% 1.07/0.49  % (1219217)Peak memory usage: 10 MB
% 1.07/0.49  % (1219217)Instructions burned: 9 (million)
% 1.07/0.49  % (1219218)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3801020964:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.49  % (1219218)Instruction limit reached! 
% 1.07/0.49  % (1219218)------------------------------
% 1.07/0.49  % (1219218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (1219218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (1219218)CaDiCaL version: 2.1.3
% 1.07/0.49  % (1219218)Termination reason: Instruction limit
% 1.07/0.49  % (1219218)Termination phase: shuffling
% 1.07/0.49  % (1219218)Time elapsed: 0.006 s
% 1.07/0.49  % (1219218)Peak memory usage: 10 MB
% 1.07/0.49  % (1219218)Instructions burned: 13 (million)
% 1.07/0.49  % (1219192)Instruction limit reached! 
% 1.07/0.49  % (1219192)------------------------------
% 1.07/0.49  % (1219192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (1219192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (1219192)CaDiCaL version: 2.1.3
% 1.07/0.49  % (1219192)Termination reason: Instruction limit
% 1.07/0.49  % (1219192)Termination phase: Preprocessing 3
% 1.07/0.49  % (1219192)Time elapsed: 0.038 s
% 1.07/0.49  % (1219192)Peak memory usage: 12 MB
% 1.07/0.49  % (1219192)Instructions burned: 77 (million)
% 1.07/0.49  % (1219228)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.07/0.49  % (1219228)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.49  % (1219187)Instruction limit reached! 
% 1.07/0.49  % (1219187)------------------------------
% 1.07/0.49  % (1219187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (1219187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (1219187)CaDiCaL version: 2.1.3
% 1.07/0.49  % (1219187)Termination reason: Instruction limit
% 1.07/0.49  % (1219187)Termination phase: Property scanning
% 1.07/0.49  % (1219187)Time elapsed: 0.045 s
% 1.07/0.49  % (1219187)Peak memory usage: 12 MB
% 1.07/0.49  % (1219187)Instructions burned: 97 (million)
% 1.07/0.49  % (1219228)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2837437356:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.07/0.49  % (1219232)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.49  % (1219230)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1840236813:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.07/0.51  % (1219232)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=475907516:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.51  % (1219232)Instruction limit reached! 
% 1.07/0.51  % (1219232)------------------------------
% 1.07/0.51  % (1219232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219232)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219232)Termination reason: Instruction limit
% 1.07/0.51  % (1219232)Termination phase: shuffling
% 1.07/0.51  % (1219232)Time elapsed: 0.003 s
% 1.07/0.51  % (1219232)Peak memory usage: 10 MB
% 1.07/0.51  % (1219232)Instructions burned: 13 (million)
% 1.07/0.51  % (1219231)lrs+10_1_si=on:cs=on:random_seed=374934303:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.07/0.51  % (1219228)Instruction limit reached! 
% 1.07/0.51  % (1219228)------------------------------
% 1.07/0.51  % (1219228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219228)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219228)Termination reason: Instruction limit
% 1.07/0.51  % (1219228)Termination phase: shuffling
% 1.07/0.51  % (1219228)Time elapsed: 0.014 s
% 1.07/0.51  % (1219228)Peak memory usage: 11 MB
% 1.07/0.51  % (1219228)Instructions burned: 29 (million)
% 1.07/0.51  % (1219231)Instruction limit reached! 
% 1.07/0.51  % (1219231)------------------------------
% 1.07/0.51  % (1219231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219231)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219231)Termination reason: Instruction limit
% 1.07/0.51  % (1219231)Termination phase: shuffling
% 1.07/0.51  % (1219231)Time elapsed: 0.005 s
% 1.07/0.51  % (1219231)Peak memory usage: 10 MB
% 1.07/0.51  % (1219231)Instructions burned: 9 (million)
% 1.07/0.51  % (1219233)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1384751833:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.07/0.51  % (1219239)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=287259786:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.51  % (1219243)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4046121611:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.51  % (1219245)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3234596514:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.51  % (1219233)Instruction limit reached! 
% 1.07/0.51  % (1219233)------------------------------
% 1.07/0.51  % (1219233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219233)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219233)Termination reason: Instruction limit
% 1.07/0.51  % (1219233)Termination phase: Property scanning
% 1.07/0.51  % (1219233)Time elapsed: 0.020 s
% 1.07/0.51  % (1219233)Peak memory usage: 11 MB
% 1.07/0.51  % (1219233)Instructions burned: 38 (million)
% 1.07/0.51  % (1219239)Refutation not found, incomplete strategy
% 1.07/0.51  % (1219239)------------------------------
% 1.07/0.51  % (1219239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219239)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219239)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.51  % (1219239)Time elapsed: 0.019 s
% 1.07/0.51  % (1219239)Peak memory usage: 13 MB
% 1.07/0.51  % (1219239)Instructions burned: 77 (million)
% 1.07/0.51  % (1219239)------------------------------
% 1.07/0.51  % (1219239)------------------------------
% 1.07/0.51  % (1219245)Instruction limit reached! 
% 1.07/0.51  % (1219245)------------------------------
% 1.07/0.51  % (1219245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.51  % (1219245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.51  % (1219245)CaDiCaL version: 2.1.3
% 1.07/0.51  % (1219245)Termination reason: Instruction limit
% 1.07/0.53  % (1219245)Termination phase: shuffling
% 1.07/0.53  % (1219245)Time elapsed: 0.007 s
% 1.07/0.53  % (1219245)Peak memory usage: 10 MB
% 1.07/0.53  % (1219245)Instructions burned: 15 (million)
% 1.07/0.53  % (1219230)Instruction limit reached! 
% 1.07/0.53  % (1219230)------------------------------
% 1.07/0.53  % (1219230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219230)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219230)Termination reason: Instruction limit
% 1.07/0.53  % (1219230)Termination phase: Property scanning
% 1.07/0.53  % (1219230)Time elapsed: 0.040 s
% 1.07/0.53  % (1219230)Peak memory usage: 11 MB
% 1.07/0.53  % (1219230)Instructions burned: 88 (million)
% 1.07/0.53  % (1219243)Instruction limit reached! 
% 1.07/0.53  % (1219243)------------------------------
% 1.07/0.53  % (1219243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219243)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219243)Termination reason: Instruction limit
% 1.07/0.53  % (1219243)Termination phase: shuffling
% 1.07/0.53  % (1219243)Time elapsed: 0.013 s
% 1.07/0.53  % (1219243)Peak memory usage: 10 MB
% 1.07/0.53  % (1219243)Instructions burned: 28 (million)
% 1.07/0.53  % (1219193)Instruction limit reached! 
% 1.07/0.53  % (1219193)------------------------------
% 1.07/0.53  % (1219193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219193)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219193)Termination reason: Instruction limit
% 1.07/0.53  % (1219193)Termination phase: Saturation
% 1.07/0.53  % (1219193)Time elapsed: 0.092 s
% 1.07/0.53  % (1219193)Peak memory usage: 13 MB
% 1.07/0.53  % (1219193)Instructions burned: 157 (million)
% 1.07/0.53  % (1219253)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=357665528:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.53  % (1219256)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=33315510:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.53  % (1219257)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=336102445:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.07/0.53  % (1219264)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1317700409:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.07/0.53  % (1219256)Instruction limit reached! 
% 1.07/0.53  % (1219256)------------------------------
% 1.07/0.53  % (1219256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219256)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219256)Termination reason: Instruction limit
% 1.07/0.53  % (1219256)Termination phase: shuffling
% 1.07/0.53  % (1219256)Time elapsed: 0.002 s
% 1.07/0.53  % (1219256)Peak memory usage: 10 MB
% 1.07/0.53  % (1219256)Instructions burned: 3 (million)
% 1.07/0.53  % (1219259)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1663482392:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.53  % (1219255)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1777557286:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.53  % (1219255)Instruction limit reached! 
% 1.07/0.53  % (1219255)------------------------------
% 1.07/0.53  % (1219255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219255)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219255)Termination reason: Instruction limit
% 1.07/0.53  % (1219255)Termination phase: shuffling
% 1.07/0.53  % (1219255)Time elapsed: 0.008 s
% 1.07/0.53  % (1219255)Peak memory usage: 10 MB
% 1.07/0.53  % (1219255)Instructions burned: 16 (million)
% 1.07/0.53  % (1219259)Instruction limit reached! 
% 1.07/0.53  % (1219259)------------------------------
% 1.07/0.53  % (1219259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219259)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219259)Termination reason: Instruction limit
% 1.07/0.53  % (1219259)Termination phase: shuffling
% 1.07/0.53  % (1219259)Time elapsed: 0.011 s
% 1.07/0.53  % (1219259)Peak memory usage: 10 MB
% 1.07/0.53  % (1219259)Instructions burned: 24 (million)
% 1.07/0.53  % (1219257)Instruction limit reached! 
% 1.07/0.53  % (1219257)------------------------------
% 1.07/0.53  % (1219257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219257)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219257)Termination reason: Instruction limit
% 1.07/0.53  % (1219257)Termination phase: shuffling
% 1.07/0.53  % (1219257)Time elapsed: 0.012 s
% 1.07/0.53  % (1219257)Peak memory usage: 11 MB
% 1.07/0.53  % (1219257)Instructions burned: 27 (million)
% 1.07/0.53  % (1219264)Instruction limit reached! 
% 1.07/0.53  % (1219264)------------------------------
% 1.07/0.53  % (1219264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219264)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219264)Termination reason: Instruction limit
% 1.07/0.53  % (1219264)Termination phase: Preprocessing 3
% 1.07/0.53  % (1219264)Time elapsed: 0.015 s
% 1.07/0.53  % (1219264)Peak memory usage: 12 MB
% 1.07/0.53  % (1219264)Instructions burned: 61 (million)
% 1.07/0.53  % (1219272)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.07/0.53  % (1219272)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.07/0.53  % (1219272)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2945096008:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.53  % (1219276)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.07/0.53  % (1219279)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3273213449:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.53  % (1219272)Instruction limit reached! 
% 1.07/0.53  % (1219272)------------------------------
% 1.07/0.53  % (1219272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219272)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219272)Termination reason: Instruction limit
% 1.07/0.53  % (1219272)Termination phase: shuffling
% 1.07/0.53  % (1219272)Time elapsed: 0.007 s
% 1.07/0.53  % (1219272)Peak memory usage: 10 MB
% 1.07/0.53  % (1219272)Instructions burned: 15 (million)
% 1.07/0.53  % (1219276)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1555298166:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.53  % (1219277)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=173800715:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.07/0.53  % (1219278)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1804272469:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.07/0.53  % (1219279)Instruction limit reached! 
% 1.07/0.53  % (1219279)------------------------------
% 1.07/0.53  % (1219279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219279)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219279)Termination reason: Instruction limit
% 1.07/0.53  % (1219279)Termination phase: shuffling
% 1.07/0.53  % (1219279)Time elapsed: 0.006 s
% 1.07/0.53  % (1219279)Peak memory usage: 11 MB
% 1.07/0.53  % (1219279)Instructions burned: 27 (million)
% 1.07/0.53  % (1219276)Instruction limit reached! 
% 1.07/0.53  % (1219276)------------------------------
% 1.07/0.53  % (1219276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219276)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219276)Termination reason: Instruction limit
% 1.07/0.53  % (1219276)Termination phase: shuffling
% 1.07/0.53  % (1219276)Time elapsed: 0.004 s
% 1.07/0.53  % (1219276)Peak memory usage: 10 MB
% 1.07/0.53  % (1219276)Instructions burned: 8 (million)
% 1.07/0.53  % (1219278)Instruction limit reached! 
% 1.07/0.53  % (1219278)------------------------------
% 1.07/0.53  % (1219278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219278)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219278)Termination reason: Instruction limit
% 1.07/0.53  % (1219278)Termination phase: shuffling
% 1.07/0.53  % (1219278)Time elapsed: 0.004 s
% 1.07/0.53  % (1219278)Peak memory usage: 10 MB
% 1.07/0.53  % (1219278)Instructions burned: 8 (million)
% 1.07/0.53  % (1219190) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1219174-1219190"...
% 1.07/0.53  % (1219190)...printing done.
% 1.07/0.53  % (1219190)Refutation found. Thanks to Tanya!
% 1.07/0.53  % SZS status Theorem for theBenchmark
% 1.07/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.07/0.53  % (1219190)------------------------------
% 1.07/0.53  % (1219190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53  % (1219190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53  % (1219190)CaDiCaL version: 2.1.3
% 1.07/0.53  % (1219190)Termination reason: Refutation
% 1.07/0.53  % (1219190)Time elapsed: 0.154 s
% 1.07/0.53  % (1219190)Peak memory usage: 16 MB
% 1.07/0.53  % (1219190)Instructions burned: 306 (million)
% 1.07/0.53  % (1219174)Success in time 0.213 s
% 1.07/0.53  % Vampire exiting
%------------------------------------------------------------------------------