TSTP Solution File: ITP334_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:27:14 EDT 2022

% Result   : Theorem 2.77s 0.77s
% Output   : Refutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  368
% Syntax   : Number of formulae    :  379 (   8 unt; 363 typ;   0 def)
%            Number of atoms       :   32 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (  16   ~;   5   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :  105 (  30 atm;  29 fun;  41 num;   5 var)
%            Number of types       :   48 (  46 usr;   1 ari)
%            Number of type conns  :  404 ( 288   >; 116   *;   0   +;   0  <<)
%            Number of predicates  :   48 (  45 usr;   1 prp; 0-3 aty)
%            Number of functors    :  278 ( 272 usr;  32 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Num1$': $tType ).

tff(type_def_6,type,
    'Unit_set$': $tType ).

tff(type_def_7,type,
    'Int_bool_fun$': $tType ).

tff(type_def_8,type,
    'Nat_set_int_fun$': $tType ).

tff(type_def_9,type,
    'Num1_option_option_set$': $tType ).

tff(type_def_10,type,
    'Rows_set_int_fun$': $tType ).

tff(type_def_11,type,
    'Nat_nat_bool_fun_fun$': $tType ).

tff(type_def_12,type,
    'Rows_option_option_set$': $tType ).

tff(type_def_13,type,
    'Rows$': $tType ).

tff(type_def_14,type,
    'Literal$': $tType ).

tff(type_def_15,type,
    'Rows_set$': $tType ).

tff(type_def_16,type,
    'Int_int_fun$': $tType ).

tff(type_def_17,type,
    'Num0$': $tType ).

tff(type_def_18,type,
    'Rows_option_set$': $tType ).

tff(type_def_19,type,
    'Nat_rows_set_fun$': $tType ).

tff(type_def_20,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_21,type,
    'Nat$': $tType ).

tff(type_def_22,type,
    'Nat_num1_set_fun$': $tType ).

tff(type_def_23,type,
    'Literal_set$': $tType ).

tff(type_def_24,type,
    'Int_num0_set_fun$': $tType ).

tff(type_def_25,type,
    tlbool: $tType ).

tff(type_def_26,type,
    'Num1_option_set$': $tType ).

tff(type_def_27,type,
    'Int_rows_set_fun$': $tType ).

tff(type_def_28,type,
    'Rows_bool_fun$': $tType ).

tff(type_def_29,type,
    'Rows_rows_fun$': $tType ).

tff(type_def_30,type,
    'Literal_bool_fun$': $tType ).

tff(type_def_31,type,
    'Num0_bool_fun$': $tType ).

tff(type_def_32,type,
    'Nat_nat_set_fun$': $tType ).

tff(type_def_33,type,
    'Nat_literal_set_fun$': $tType ).

tff(type_def_34,type,
    'Nat_num0_set_fun$': $tType ).

tff(type_def_35,type,
    'Int_literal_set_fun$': $tType ).

tff(type_def_36,type,
    'Literal_set_int_fun$': $tType ).

tff(type_def_37,type,
    'Num1_set$': $tType ).

tff(type_def_38,type,
    'Literal_option_set$': $tType ).

tff(type_def_39,type,
    'Nat_option_set$': $tType ).

tff(type_def_40,type,
    'Num0_option_set$': $tType ).

tff(type_def_41,type,
    'Num0_set_int_fun$': $tType ).

tff(type_def_42,type,
    'Int_int_bool_fun_fun$': $tType ).

tff(type_def_43,type,
    'Num1_bool_fun$': $tType ).

tff(type_def_44,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_45,type,
    'Num1_set_int_fun$': $tType ).

tff(type_def_46,type,
    'Num0_set$': $tType ).

tff(type_def_47,type,
    'Nat_set$': $tType ).

tff(type_def_48,type,
    'Int_num1_set_fun$': $tType ).

tff(type_def_49,type,
    'Nat_int_fun$': $tType ).

tff(type_def_50,type,
    'Int_nat_set_fun$': $tType ).

tff(func_def_0,type,
    'top$o': 'Unit_set$' ).

tff(func_def_1,type,
    'uua$': 'Rows_set$' > 'Rows_bool_fun$' ).

tff(func_def_2,type,
    'minus$': 'Rows$' > 'Rows_rows_fun$' ).

tff(func_def_3,type,
    'fun_app$p': ( 'Int_rows_set_fun$' * $int ) > 'Rows_set$' ).

tff(func_def_4,type,
    'uue$': 'Num1_set$' > 'Num1_bool_fun$' ).

tff(func_def_5,type,
    'top$h': 'Num0_set$' ).

tff(func_def_6,type,
    'top$q': 'Literal_option_set$' ).

tff(func_def_7,type,
    'fun_app$j': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).

tff(func_def_8,type,
    'card$': 'Rows_set$' > 'Nat$' ).

tff(func_def_9,type,
    'card$e': 'Num1_set$' > 'Nat$' ).

tff(func_def_10,type,
    'fun_app$l': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).

tff(func_def_11,type,
    'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).

tff(func_def_12,type,
    'fun_app$t': ( 'Int_num1_set_fun$' * $int ) > 'Num1_set$' ).

tff(func_def_13,type,
    'one$': 'Rows$' ).

tff(func_def_14,type,
    'fun_app$n': ( 'Nat_num0_set_fun$' * 'Nat$' ) > 'Num0_set$' ).

tff(func_def_15,type,
    'collect$c': 'Num0_bool_fun$' > 'Num0_set$' ).

tff(func_def_16,type,
    'top$c': 'Num1_option_option_set$' ).

tff(func_def_17,type,
    'top$': 'Rows_set$' ).

tff(func_def_18,type,
    'fun_app$b': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_19,type,
    'uu$': $int > 'Int_int_fun$' ).

tff(func_def_20,type,
    'fun_app$s': ( 'Int_num0_set_fun$' * $int ) > 'Num0_set$' ).

tff(func_def_21,type,
    'card$l': 'Nat_option_set$' > 'Nat$' ).

tff(func_def_22,type,
    'fun_app$y': ( 'Num1_set_int_fun$' * 'Num1_set$' ) > $int ).

tff(func_def_23,type,
    'top$e': 'Num1_set$' ).

tff(func_def_24,type,
    'zero$': 'Rows$' ).

tff(func_def_25,type,
    'collect$b': 'Literal_bool_fun$' > 'Literal_set$' ).

tff(func_def_26,type,
    'of_nat$': 'Nat_int_fun$' ).

tff(func_def_27,type,
    'fun_app$a': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).

tff(func_def_28,type,
    'uuf$': 'Int_int_bool_fun_fun$' ).

tff(func_def_29,type,
    'fun_app$v': ( 'Nat_set_int_fun$' * 'Nat_set$' ) > $int ).

tff(func_def_30,type,
    'top$r': 'Nat_option_set$' ).

tff(func_def_31,type,
    'top$f': 'Nat_set$' ).

tff(func_def_32,type,
    'fun_app$z': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_33,type,
    'fun_app$k': ( 'Nat_rows_set_fun$' * 'Nat$' ) > 'Rows_set$' ).

tff(func_def_34,type,
    'card$h': 'Num0_set$' > 'Nat$' ).

tff(func_def_35,type,
    tltrue: tlbool ).

tff(func_def_36,type,
    'uub$': 'Nat_set$' > 'Nat_bool_fun$' ).

tff(func_def_37,type,
    'fun_app$w': ( 'Literal_set_int_fun$' * 'Literal_set$' ) > $int ).

tff(func_def_38,type,
    'card$g': 'Literal_set$' > 'Nat$' ).

tff(func_def_39,type,
    'card$i': 'Unit_set$' > 'Nat$' ).

tff(func_def_40,type,
    'card$f': 'Nat_set$' > 'Nat$' ).

tff(func_def_41,type,
    'top$k': 'Num0_bool_fun$' ).

tff(func_def_42,type,
    'top$g': 'Literal_set$' ).

tff(func_def_43,type,
    'card$j': 'Num0_option_set$' > 'Nat$' ).

tff(func_def_44,type,
    'top$a': 'Rows_option_option_set$' ).

tff(func_def_45,type,
    'fun_app$q': ( 'Int_nat_set_fun$' * $int ) > 'Nat_set$' ).

tff(func_def_46,type,
    'fun_app$m': ( 'Nat_literal_set_fun$' * 'Nat$' ) > 'Literal_set$' ).

tff(func_def_47,type,
    'card$a': 'Rows_option_option_set$' > 'Nat$' ).

tff(func_def_48,type,
    'top$p': 'Num0_option_set$' ).

tff(func_def_49,type,
    'card$k': 'Literal_option_set$' > 'Nat$' ).

tff(func_def_50,type,
    'uuc$': 'Literal_set$' > 'Literal_bool_fun$' ).

tff(func_def_51,type,
    'uud$': 'Num0_set$' > 'Num0_bool_fun$' ).

tff(func_def_52,type,
    'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_53,type,
    'top$b': 'Rows_option_set$' ).

tff(func_def_54,type,
    'collect$d': 'Num1_bool_fun$' > 'Num1_set$' ).

tff(func_def_55,type,
    'fun_app$r': ( 'Int_literal_set_fun$' * $int ) > 'Literal_set$' ).

tff(func_def_56,type,
    'top$i': 'Num1_bool_fun$' ).

tff(func_def_57,type,
    'fun_app$u': ( 'Rows_set_int_fun$' * 'Rows_set$' ) > $int ).

tff(func_def_58,type,
    'top$n': 'Rows_bool_fun$' ).

tff(func_def_59,type,
    'collect$': 'Rows_bool_fun$' > 'Rows_set$' ).

tff(func_def_60,type,
    'top$l': 'Literal_bool_fun$' ).

tff(func_def_61,type,
    tlfalse: tlbool ).

tff(func_def_62,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_63,type,
    'top$d': 'Num1_option_set$' ).

tff(func_def_64,type,
    'abs$': $int > 'Rows$' ).

tff(func_def_65,type,
    'fun_app$x': ( 'Num0_set_int_fun$' * 'Num0_set$' ) > $int ).

tff(func_def_66,type,
    'card$c': 'Num1_option_option_set$' > 'Nat$' ).

tff(func_def_67,type,
    'card$d': 'Num1_option_set$' > 'Nat$' ).

tff(func_def_68,type,
    'fun_app$o': ( 'Nat_num1_set_fun$' * 'Nat$' ) > 'Num1_set$' ).

tff(func_def_69,type,
    'top$m': 'Nat_bool_fun$' ).

tff(func_def_70,type,
    'card$b': 'Rows_option_set$' > 'Nat$' ).

tff(func_def_71,type,
    'fun_app$i': ( 'Rows_rows_fun$' * 'Rows$' ) > 'Rows$' ).

tff(func_def_77,type,
    sK19: 'Nat_nat_set_fun$' > 'Nat$' ).

tff(func_def_78,type,
    sK20: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_79,type,
    sK21: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_80,type,
    sK22: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_81,type,
    sK23: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_82,type,
    sK24: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_83,type,
    sK25: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_84,type,
    sK26: ( 'Nat$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_85,type,
    sK27: 'Int_int_fun$' > $int ).

tff(func_def_86,type,
    sK28: 'Int_int_fun$' > $int ).

tff(func_def_87,type,
    sK29: ( 'Int_bool_fun$' * $int ) > $int ).

tff(func_def_88,type,
    sK30: 'Int_num1_set_fun$' > $int ).

tff(func_def_89,type,
    sK31: 'Int_num1_set_fun$' > $int ).

tff(func_def_90,type,
    sK32: 'Int_int_fun$' > $int ).

tff(func_def_91,type,
    sK33: 'Int_int_fun$' > $int ).

tff(func_def_92,type,
    sK34: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_93,type,
    sK35: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_94,type,
    sK36: 'Int_int_fun$' > $int ).

tff(func_def_95,type,
    sK37: 'Int_int_fun$' > $int ).

tff(func_def_96,type,
    sK38: 'Int_rows_set_fun$' > $int ).

tff(func_def_97,type,
    sK39: 'Int_rows_set_fun$' > $int ).

tff(func_def_98,type,
    sK40: ( 'Nat_bool_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_99,type,
    sK41: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_100,type,
    sK42: 'Int_num0_set_fun$' > $int ).

tff(func_def_101,type,
    sK43: 'Int_num0_set_fun$' > $int ).

tff(func_def_102,type,
    sK44: ( 'Rows_bool_fun$' * 'Rows_bool_fun$' ) > 'Rows$' ).

tff(func_def_103,type,
    sK45: $int > 'Nat$' ).

tff(func_def_104,type,
    sK46: $int > 'Nat$' ).

tff(func_def_105,type,
    sK47: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_106,type,
    sK48: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_107,type,
    sK49: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_108,type,
    sK50: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_109,type,
    sK51: 'Int_int_fun$' > $int ).

tff(func_def_110,type,
    sK52: 'Int_int_fun$' > $int ).

tff(func_def_111,type,
    sK53: 'Rows_set$' > 'Rows$' ).

tff(func_def_112,type,
    sK54: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_113,type,
    sK55: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_114,type,
    sK56: $int > 'Nat$' ).

tff(func_def_115,type,
    sK57: 'Nat_literal_set_fun$' > 'Nat$' ).

tff(func_def_116,type,
    sK58: 'Int_nat_set_fun$' > $int ).

tff(func_def_117,type,
    sK59: 'Int_nat_set_fun$' > $int ).

tff(func_def_118,type,
    sK60: ( 'Literal_bool_fun$' * 'Literal_bool_fun$' ) > 'Literal$' ).

tff(func_def_119,type,
    sK61: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_120,type,
    sK62: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_121,type,
    sK63: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_122,type,
    sK64: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_123,type,
    sK65: 'Rows$' ).

tff(func_def_124,type,
    sK66: 'Num1_set_int_fun$' > 'Num1_set$' ).

tff(func_def_125,type,
    sK67: 'Num1_set_int_fun$' > 'Num1_set$' ).

tff(func_def_126,type,
    sK68: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_127,type,
    sK69: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_128,type,
    sK70: $int > 'Nat$' ).

tff(func_def_129,type,
    sK71: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_130,type,
    sK72: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_131,type,
    sK73: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_132,type,
    sK74: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_133,type,
    sK75: 'Nat$' ).

tff(func_def_134,type,
    sK76: 'Int_int_fun$' > $int ).

tff(func_def_135,type,
    sK77: 'Int_int_fun$' > $int ).

tff(func_def_136,type,
    sK78: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_137,type,
    sK79: ( 'Nat$' * 'Num1_set$' ) > 'Num1_set$' ).

tff(func_def_138,type,
    sK80: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_139,type,
    sK81: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_140,type,
    sK82: 'Int_int_fun$' > $int ).

tff(func_def_141,type,
    sK83: 'Int_int_fun$' > $int ).

tff(func_def_142,type,
    sK84: 'Num0_set$' > 'Num0$' ).

tff(func_def_143,type,
    sK85: ( 'Num0_bool_fun$' * 'Num0_bool_fun$' ) > 'Num0$' ).

tff(func_def_144,type,
    sK86: ( 'Nat$' * 'Rows_set$' ) > 'Rows_set$' ).

tff(func_def_145,type,
    sK87: 'Int_int_fun$' > $int ).

tff(func_def_146,type,
    sK88: 'Int_int_fun$' > $int ).

tff(func_def_147,type,
    sK89: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_148,type,
    sK90: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_149,type,
    sK91: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_150,type,
    sK92: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_151,type,
    sK93: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_152,type,
    sK94: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_153,type,
    sK95: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_154,type,
    sK96: 'Int_literal_set_fun$' > $int ).

tff(func_def_155,type,
    sK97: 'Int_literal_set_fun$' > $int ).

tff(func_def_156,type,
    sK98: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_157,type,
    sK99: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_158,type,
    sK100: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_159,type,
    sK101: 'Int_num0_set_fun$' > $int ).

tff(func_def_160,type,
    sK102: 'Int_num0_set_fun$' > $int ).

tff(func_def_161,type,
    sK103: 'Int_nat_set_fun$' > $int ).

tff(func_def_162,type,
    sK104: 'Int_nat_set_fun$' > $int ).

tff(func_def_163,type,
    sK105: 'Nat_num0_set_fun$' > 'Nat$' ).

tff(func_def_164,type,
    sK106: 'Int_int_fun$' > $int ).

tff(func_def_165,type,
    sK107: 'Int_int_fun$' > $int ).

tff(func_def_166,type,
    sK108: 'Nat_nat_set_fun$' > 'Nat$' ).

tff(func_def_167,type,
    sK109: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_168,type,
    sK110: $int > 'Nat$' ).

tff(func_def_169,type,
    sK111: 'Nat_rows_set_fun$' > 'Nat$' ).

tff(func_def_170,type,
    sK112: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_171,type,
    sK113: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_172,type,
    sK114: 'Int_nat_set_fun$' > $int ).

tff(func_def_173,type,
    sK115: 'Int_nat_set_fun$' > $int ).

tff(func_def_174,type,
    sK116: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_175,type,
    sK117: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_176,type,
    sK118: 'Int_rows_set_fun$' > $int ).

tff(func_def_177,type,
    sK119: 'Int_rows_set_fun$' > $int ).

tff(func_def_178,type,
    sK120: ( 'Int_bool_fun$' * $int ) > $int ).

tff(func_def_179,type,
    sK121: ( 'Nat$' * 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_180,type,
    sK122: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_181,type,
    sK123: $int > $int ).

tff(func_def_182,type,
    sK124: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_183,type,
    sK125: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_184,type,
    sK126: 'Int_num0_set_fun$' > $int ).

tff(func_def_185,type,
    sK127: 'Int_num0_set_fun$' > $int ).

tff(func_def_186,type,
    sK128: 'Nat$' > 'Nat$' ).

tff(func_def_187,type,
    sK129: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_188,type,
    sK130: 'Nat_num0_set_fun$' > 'Nat$' ).

tff(func_def_189,type,
    sK131: 'Nat$' > 'Nat$' ).

tff(func_def_190,type,
    sK132: 'Int_num0_set_fun$' > $int ).

tff(func_def_191,type,
    sK133: 'Int_num0_set_fun$' > $int ).

tff(func_def_192,type,
    sK134: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_193,type,
    sK135: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_194,type,
    sK136: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_195,type,
    sK137: 'Nat$' > 'Nat$' ).

tff(func_def_196,type,
    sK138: 'Int_int_fun$' > $int ).

tff(func_def_197,type,
    sK139: 'Int_int_fun$' > $int ).

tff(func_def_198,type,
    sK140: ( 'Nat$' * 'Num0_set$' ) > 'Num0_set$' ).

tff(func_def_199,type,
    sK141: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_200,type,
    sK142: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_201,type,
    sK143: 'Int_nat_set_fun$' > $int ).

tff(func_def_202,type,
    sK144: 'Int_nat_set_fun$' > $int ).

tff(func_def_203,type,
    sK145: 'Nat$' > 'Nat$' ).

tff(func_def_204,type,
    sK146: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_205,type,
    sK147: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_206,type,
    sK148: 'Nat_num1_set_fun$' > 'Nat$' ).

tff(func_def_207,type,
    sK149: 'Int_int_fun$' > $int ).

tff(func_def_208,type,
    sK150: 'Int_int_fun$' > $int ).

tff(func_def_209,type,
    sK151: 'Literal_set$' > 'Literal$' ).

tff(func_def_210,type,
    sK152: 'Nat$' > 'Nat$' ).

tff(func_def_211,type,
    sK153: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_212,type,
    sK154: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_213,type,
    sK155: 'Nat_num1_set_fun$' > 'Nat$' ).

tff(func_def_214,type,
    sK156: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_215,type,
    sK157: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_216,type,
    sK158: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_217,type,
    sK159: 'Literal$' ).

tff(func_def_218,type,
    sK160: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_219,type,
    sK161: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_220,type,
    sK162: 'Int_rows_set_fun$' > $int ).

tff(func_def_221,type,
    sK163: 'Int_rows_set_fun$' > $int ).

tff(func_def_222,type,
    sK164: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_223,type,
    sK165: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_224,type,
    sK166: 'Int_literal_set_fun$' > $int ).

tff(func_def_225,type,
    sK167: 'Int_literal_set_fun$' > $int ).

tff(func_def_226,type,
    sK168: 'Int_literal_set_fun$' > $int ).

tff(func_def_227,type,
    sK169: 'Int_literal_set_fun$' > $int ).

tff(func_def_228,type,
    sK170: 'Int_literal_set_fun$' > $int ).

tff(func_def_229,type,
    sK171: 'Int_literal_set_fun$' > $int ).

tff(func_def_230,type,
    sK172: ( 'Literal_set$' * 'Nat$' ) > 'Literal_set$' ).

tff(func_def_231,type,
    sK173: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_232,type,
    sK174: 'Nat_literal_set_fun$' > 'Nat$' ).

tff(func_def_233,type,
    sK175: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_234,type,
    sK176: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_235,type,
    sK177: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_236,type,
    sK178: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_237,type,
    sK179: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_238,type,
    sK180: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_239,type,
    sK181: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_240,type,
    sK182: 'Nat$' > 'Nat$' ).

tff(func_def_241,type,
    sK183: 'Nat_rows_set_fun$' > 'Nat$' ).

tff(func_def_242,type,
    sK184: 'Int_num1_set_fun$' > $int ).

tff(func_def_243,type,
    sK185: 'Int_num1_set_fun$' > $int ).

tff(func_def_244,type,
    sK186: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_245,type,
    sK187: 'Rows_set_int_fun$' > 'Rows_set$' ).

tff(func_def_246,type,
    sK188: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_247,type,
    sK189: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_248,type,
    sK190: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_249,type,
    sK191: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_250,type,
    sK192: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_251,type,
    sK193: 'Int_int_fun$' > $int ).

tff(func_def_252,type,
    sK194: 'Int_int_fun$' > $int ).

tff(func_def_253,type,
    sK195: 'Num0$' ).

tff(func_def_254,type,
    sK196: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_255,type,
    sK197: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_256,type,
    sK198: ( 'Num1_bool_fun$' * 'Num1_bool_fun$' ) > 'Num1$' ).

tff(func_def_257,type,
    sK199: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_258,type,
    sK200: 'Literal_set_int_fun$' > 'Literal_set$' ).

tff(func_def_259,type,
    sK201: 'Num1_set$' > 'Num1$' ).

tff(func_def_260,type,
    sK202: 'Int_int_fun$' > $int ).

tff(func_def_261,type,
    sK203: 'Int_int_fun$' > $int ).

tff(func_def_262,type,
    sK204: 'Num1$' ).

tff(func_def_263,type,
    sK205: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_264,type,
    sK206: 'Nat_set$' > 'Nat$' ).

tff(func_def_265,type,
    sK207: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_266,type,
    sK208: 'Nat_set_int_fun$' > 'Nat_set$' ).

tff(func_def_267,type,
    sK209: 'Int_rows_set_fun$' > $int ).

tff(func_def_268,type,
    sK210: 'Int_rows_set_fun$' > $int ).

tff(func_def_269,type,
    sK211: $int > $int ).

tff(func_def_270,type,
    sK212: 'Int_num1_set_fun$' > $int ).

tff(func_def_271,type,
    sK213: 'Int_num1_set_fun$' > $int ).

tff(func_def_272,type,
    sK214: $int > 'Nat$' ).

tff(func_def_273,type,
    sK215: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_274,type,
    sK216: 'Num0_set_int_fun$' > 'Num0_set$' ).

tff(func_def_275,type,
    sK217: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_276,type,
    sK218: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(pred_def_1,type,
    'less$e': ( 'Num1_bool_fun$' * 'Num1_bool_fun$' ) > $o ).

tff(pred_def_2,type,
    'less$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).

tff(pred_def_3,type,
    'less$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).

tff(pred_def_4,type,
    'member$d': ( 'Rows$' * 'Rows_set$' ) > $o ).

tff(pred_def_5,type,
    'less_eq$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).

tff(pred_def_6,type,
    'fun_app$d': ( 'Num0_bool_fun$' * 'Num0$' ) > $o ).

tff(pred_def_7,type,
    'less$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).

tff(pred_def_8,type,
    'less$f': ( 'Num0_bool_fun$' * 'Num0_bool_fun$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$c': ( 'Num1_bool_fun$' * 'Num1$' ) > $o ).

tff(pred_def_10,type,
    'less_eq$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).

tff(pred_def_11,type,
    'less_eq$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).

tff(pred_def_12,type,
    'member$b': ( 'Literal$' * 'Literal_set$' ) > $o ).

tff(pred_def_13,type,
    'less$g': ( 'Literal_bool_fun$' * 'Literal_bool_fun$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_15,type,
    'member$c': ( 'Nat$' * 'Nat_set$' ) > $o ).

tff(pred_def_16,type,
    'less$h': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).

tff(pred_def_17,type,
    'less_eq$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).

tff(pred_def_18,type,
    'less$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).

tff(pred_def_19,type,
    'member$': ( 'Num1$' * 'Num1_set$' ) > $o ).

tff(pred_def_21,type,
    'less$i': ( 'Rows_bool_fun$' * 'Rows_bool_fun$' ) > $o ).

tff(pred_def_22,type,
    'less$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).

tff(pred_def_23,type,
    'fun_app$g': ( 'Rows_bool_fun$' * 'Rows$' ) > $o ).

tff(pred_def_24,type,
    'less_eq$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).

tff(pred_def_25,type,
    'member$a': ( 'Num0$' * 'Num0_set$' ) > $o ).

tff(pred_def_26,type,
    'fun_app$e': ( 'Literal_bool_fun$' * 'Literal$' ) > $o ).

tff(pred_def_27,type,
    'fun_app$f': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_30,type,
    sP0: ( $int * $int * $int ) > $o ).

tff(pred_def_31,type,
    sP1: ( $int * $int * $int ) > $o ).

tff(pred_def_32,type,
    sP2: ( $int * $int * $int ) > $o ).

tff(pred_def_33,type,
    sP3: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_34,type,
    sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_35,type,
    sP5: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_36,type,
    sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_37,type,
    sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_38,type,
    sP8: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_39,type,
    sP9: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_40,type,
    sP10: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_41,type,
    sP11: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_42,type,
    sP12: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_43,type,
    sP13: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_44,type,
    sP14: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_45,type,
    sP15: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_46,type,
    sP16: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_47,type,
    sP17: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_48,type,
    sP18: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(f4135,plain,
    $false,
    inference(subsumption_resolution,[],[f4130,f825]) ).

tff(f825,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f4130,plain,
    $less('fun_app$h'('of_nat$','card$'('top$')),'fun_app$h'('of_nat$','card$'('top$'))),
    inference(evaluation,[],[f4114]) ).

tff(f4114,plain,
    $less('fun_app$h'('of_nat$','card$'('top$')),$sum($sum(-1,'fun_app$h'('of_nat$','card$'('top$'))),1)),
    inference(resolution,[],[f829,f4023]) ).

tff(f4023,plain,
    ~ $less($sum(-1,'fun_app$h'('of_nat$','card$'('top$'))),'fun_app$h'('of_nat$','card$'('top$'))),
    inference(subsumption_resolution,[],[f4010,f2824]) ).

tff(f2824,plain,
    $less(0,'fun_app$h'('of_nat$','card$'('top$'))),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,axiom,
    $less(0,'fun_app$h'('of_nat$','card$'('top$'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom139) ).

tff(f4010,plain,
    ( ~ $less($sum(-1,'fun_app$h'('of_nat$','card$'('top$'))),'fun_app$h'('of_nat$','card$'('top$')))
    | ~ $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ),
    inference(backward_demodulation,[],[f3851,f820]) ).

tff(f820,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f3851,plain,
    ( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),-1),'fun_app$h'('of_nat$','card$'('top$')))
    | ~ $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ),
    inference(evaluation,[],[f3208]) ).

tff(f3208,plain,
    ( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))
    | ~ $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ),
    inference(cnf_transformation,[],[f1514]) ).

tff(f1514,plain,
    ( ( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))
      & ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) )
    | ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
      & ~ $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
    inference(ennf_transformation,[],[f676]) ).

tff(f676,plain,
    ~ ( ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
       => $less(0,'fun_app$h'('of_nat$','card$'('top$'))) )
      & ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
       => $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) ) ),
    inference(theory_normalization,[],[f9]) ).

tff(f9,negated_conjecture,
    ~ ( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
       => $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) )
      & ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
       => $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
    inference(negated_conjecture,[],[f8]) ).

tff(f8,conjecture,
    ( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
     => $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) )
    & ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
     => $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture7) ).

tff(f829,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Tue Aug 30 00:39:15 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 1.43/0.59  % (23157)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.43/0.59  % (23149)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.43/0.60  % (23141)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.61  % (23142)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.65/0.63  % (23158)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.65/0.63  % (23138)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.63  % (23142)Instruction limit reached!
% 1.65/0.63  % (23142)------------------------------
% 1.65/0.63  % (23142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63  % (23150)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.65/0.63  % (23147)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.65/0.64  % (23142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64  % (23142)Termination reason: Unknown
% 1.65/0.64  % (23142)Termination phase: Property scanning
% 1.65/0.64  
% 1.65/0.64  % (23142)Memory used [KB]: 1663
% 1.65/0.64  % (23142)Time elapsed: 0.008 s
% 1.65/0.64  % (23142)Instructions burned: 8 (million)
% 1.65/0.64  % (23142)------------------------------
% 1.65/0.64  % (23142)------------------------------
% 1.65/0.64  % (23136)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.07/0.65  % (23139)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.07/0.65  % (23137)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.07/0.66  % (23140)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 2.07/0.66  % (23148)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.07/0.66  % (23135)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.07/0.66  % (23163)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.07/0.66  % (23161)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.07/0.67  % (23144)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.07/0.67  % (23160)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.07/0.67  % (23153)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.67  % (23162)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.07/0.67  % (23164)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.07/0.67  % (23145)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.07/0.67  % (23154)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.67  % (23146)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.68  % (23152)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.07/0.68  % (23156)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.07/0.68  % (23155)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.07/0.69  % (23141)Instruction limit reached!
% 2.07/0.69  % (23141)------------------------------
% 2.07/0.69  % (23141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.69  % (23141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.69  % (23141)Termination reason: Unknown
% 2.07/0.69  % (23141)Termination phase: Preprocessing 3
% 2.07/0.69  
% 2.07/0.69  % (23141)Memory used [KB]: 2686
% 2.07/0.69  % (23141)Time elapsed: 0.049 s
% 2.07/0.69  % (23141)Instructions burned: 52 (million)
% 2.07/0.69  % (23141)------------------------------
% 2.07/0.69  % (23141)------------------------------
% 2.07/0.70  % (23143)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.07/0.70  % (23149)Instruction limit reached!
% 2.07/0.70  % (23149)------------------------------
% 2.07/0.70  % (23149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.70  % (23159)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.07/0.70  % (23149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.70  % (23149)Termination reason: Unknown
% 2.07/0.70  % (23149)Termination phase: Property scanning
% 2.07/0.70  
% 2.07/0.70  % (23149)Memory used [KB]: 2942
% 2.07/0.70  % (23149)Time elapsed: 0.063 s
% 2.07/0.70  % (23149)Instructions burned: 68 (million)
% 2.07/0.70  % (23149)------------------------------
% 2.07/0.70  % (23149)------------------------------
% 2.07/0.70  % (23151)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.07/0.71  % (23137)Instruction limit reached!
% 2.07/0.71  % (23137)------------------------------
% 2.07/0.71  % (23137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.71  % (23137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.71  % (23137)Termination reason: Unknown
% 2.07/0.71  % (23137)Termination phase: SInE selection
% 2.07/0.71  
% 2.07/0.71  % (23137)Memory used [KB]: 1663
% 2.07/0.71  % (23137)Time elapsed: 0.023 s
% 2.07/0.71  % (23137)Instructions burned: 37 (million)
% 2.07/0.71  % (23137)------------------------------
% 2.07/0.71  % (23137)------------------------------
% 2.07/0.72  % (23143)Instruction limit reached!
% 2.07/0.72  % (23143)------------------------------
% 2.07/0.72  % (23143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.72  % (23143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.72  % (23143)Termination reason: Unknown
% 2.07/0.72  % (23143)Termination phase: shuffling
% 2.07/0.72  
% 2.07/0.72  % (23143)Memory used [KB]: 1535
% 2.07/0.72  % (23143)Time elapsed: 0.003 s
% 2.07/0.72  % (23143)Instructions burned: 2 (million)
% 2.07/0.72  % (23143)------------------------------
% 2.07/0.72  % (23143)------------------------------
% 2.07/0.74  % (23136)Instruction limit reached!
% 2.07/0.74  % (23136)------------------------------
% 2.07/0.74  % (23136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.74  % (23136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.74  % (23136)Termination reason: Unknown
% 2.07/0.74  % (23136)Termination phase: Preprocessing 3
% 2.07/0.74  
% 2.07/0.74  % (23136)Memory used [KB]: 2686
% 2.07/0.74  % (23136)Time elapsed: 0.031 s
% 2.07/0.74  % (23136)Instructions burned: 50 (million)
% 2.07/0.74  % (23136)------------------------------
% 2.07/0.74  % (23136)------------------------------
% 2.77/0.75  % (23144)Instruction limit reached!
% 2.77/0.75  % (23144)------------------------------
% 2.77/0.75  % (23144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.75  % (23144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.75  % (23144)Termination reason: Unknown
% 2.77/0.75  % (23144)Termination phase: Preprocessing 3
% 2.77/0.75  
% 2.77/0.75  % (23144)Memory used [KB]: 2686
% 2.77/0.75  % (23144)Time elapsed: 0.027 s
% 2.77/0.75  % (23144)Instructions burned: 52 (million)
% 2.77/0.75  % (23144)------------------------------
% 2.77/0.75  % (23144)------------------------------
% 2.77/0.76  % (23140)Instruction limit reached!
% 2.77/0.76  % (23140)------------------------------
% 2.77/0.76  % (23140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23140)Termination reason: Unknown
% 2.77/0.76  % (23140)Termination phase: Preprocessing 3
% 2.77/0.76  
% 2.77/0.76  % (23140)Memory used [KB]: 2558
% 2.77/0.76  % (23140)Time elapsed: 0.028 s
% 2.77/0.76  % (23140)Instructions burned: 48 (million)
% 2.77/0.76  % (23140)------------------------------
% 2.77/0.76  % (23140)------------------------------
% 2.77/0.76  % (23152)Instruction limit reached!
% 2.77/0.76  % (23152)------------------------------
% 2.77/0.76  % (23152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23152)Termination reason: Unknown
% 2.77/0.76  % (23152)Termination phase: Property scanning
% 2.77/0.76  
% 2.77/0.76  % (23152)Memory used [KB]: 3070
% 2.77/0.76  % (23152)Time elapsed: 0.032 s
% 2.77/0.76  % (23152)Instructions burned: 61 (million)
% 2.77/0.76  % (23152)------------------------------
% 2.77/0.76  % (23152)------------------------------
% 2.77/0.76  % (23145)Instruction limit reached!
% 2.77/0.76  % (23145)------------------------------
% 2.77/0.76  % (23145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23145)Termination reason: Unknown
% 2.77/0.76  % (23145)Termination phase: Preprocessing 3
% 2.77/0.76  
% 2.77/0.76  % (23145)Memory used [KB]: 2686
% 2.77/0.76  % (23145)Time elapsed: 0.026 s
% 2.77/0.76  % (23145)Instructions burned: 50 (million)
% 2.77/0.76  % (23145)------------------------------
% 2.77/0.76  % (23145)------------------------------
% 2.77/0.76  % (23138)Instruction limit reached!
% 2.77/0.76  % (23138)------------------------------
% 2.77/0.76  % (23138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23150)Instruction limit reached!
% 2.77/0.76  % (23150)------------------------------
% 2.77/0.76  % (23150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23138)Termination reason: Unknown
% 2.77/0.76  % (23150)Termination reason: Unknown
% 2.77/0.76  % (23138)Termination phase: NewCNF
% 2.77/0.76  % (23150)Termination phase: shuffling
% 2.77/0.76  
% 2.77/0.76  
% 2.77/0.76  % (23150)Memory used [KB]: 3070
% 2.77/0.76  % (23150)Time elapsed: 0.060 s
% 2.77/0.76  % (23150)Instructions burned: 76 (million)
% 2.77/0.76  % (23138)Memory used [KB]: 2942
% 2.77/0.76  % (23150)------------------------------
% 2.77/0.76  % (23150)------------------------------
% 2.77/0.76  % (23138)Time elapsed: 0.035 s
% 2.77/0.76  % (23138)Instructions burned: 52 (million)
% 2.77/0.76  % (23138)------------------------------
% 2.77/0.76  % (23138)------------------------------
% 2.77/0.76  % (23139)Instruction limit reached!
% 2.77/0.76  % (23139)------------------------------
% 2.77/0.76  % (23139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76  % (23139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.76  % (23139)Termination reason: Unknown
% 2.77/0.76  % (23139)Termination phase: Preprocessing 3
% 2.77/0.76  
% 2.77/0.76  % (23139)Memory used [KB]: 2686
% 2.77/0.76  % (23139)Time elapsed: 0.032 s
% 2.77/0.76  % (23139)Instructions burned: 52 (million)
% 2.77/0.76  % (23139)------------------------------
% 2.77/0.76  % (23139)------------------------------
% 2.77/0.77  % (23157)First to succeed.
% 2.77/0.77  % (23161)Instruction limit reached!
% 2.77/0.77  % (23161)------------------------------
% 2.77/0.77  % (23161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77  % (23161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77  % (23161)Termination reason: Unknown
% 2.77/0.77  % (23161)Termination phase: Property scanning
% 2.77/0.77  
% 2.77/0.77  % (23161)Memory used [KB]: 3070
% 2.77/0.77  % (23161)Time elapsed: 0.033 s
% 2.77/0.77  % (23161)Instructions burned: 68 (million)
% 2.77/0.77  % (23161)------------------------------
% 2.77/0.77  % (23161)------------------------------
% 2.77/0.77  % (23157)Refutation found. Thanks to Tanya!
% 2.77/0.77  % SZS status Theorem for theBenchmark
% 2.77/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.77/0.77  % (23157)------------------------------
% 2.77/0.77  % (23157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77  % (23157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77  % (23157)Termination reason: Refutation
% 2.77/0.77  
% 2.77/0.77  % (23157)Memory used [KB]: 3454
% 2.77/0.77  % (23157)Time elapsed: 0.246 s
% 2.77/0.77  % (23157)Instructions burned: 128 (million)
% 2.77/0.77  % (23157)------------------------------
% 2.77/0.77  % (23157)------------------------------
% 2.77/0.77  % (23132)Success in time 0.409 s
%------------------------------------------------------------------------------