TSTP Solution File: SCT171_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT171_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 18:17:09 EDT 2022

% Result   : Theorem 1.56s 0.60s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  332
% Syntax   : Number of formulae    :  339 (   7 unt; 329 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   11 (   6   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :  110 ( 109 usr)
%            Number of type conns  :  309 ( 161   >; 148   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :  216 ( 216 usr;  59 con; 0-6 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    arrow_1621810872le_alt: $tType ).

tff(type_def_6,type,
    arrow_501706939e_indi: $tType ).

tff(type_def_7,type,
    bool: $tType ).

tff(type_def_8,type,
    nat: $tType ).

tff(type_def_9,type,
    fun_Ar154839667t_bool: $tType ).

tff(type_def_10,type,
    fun_Ar1822233582t_bool: $tType ).

tff(type_def_11,type,
    fun_Ar1871347069i_bool: $tType ).

tff(type_def_12,type,
    fun_Ar2035712896di_nat: $tType ).

tff(type_def_13,type,
    fun_Ar2079322857t_bool: $tType ).

tff(type_def_14,type,
    fun_Ar1757019876t_bool: $tType ).

tff(type_def_15,type,
    fun_Ar1200683263t_bool: $tType ).

tff(type_def_16,type,
    fun_Ar156616864t_bool: $tType ).

tff(type_def_17,type,
    fun_Ar1784032663l_bool: $tType ).

tff(type_def_18,type,
    fun_Ar1570071899t_bool: $tType ).

tff(type_def_19,type,
    fun_Ar884201459l_bool: $tType ).

tff(type_def_20,type,
    fun_Ar1821573119l_bool: $tType ).

tff(type_def_21,type,
    fun_Ar2100459655t_bool: $tType ).

tff(type_def_22,type,
    fun_Ar2040671475t_bool: $tType ).

tff(type_def_23,type,
    fun_Ar2047178847t_bool: $tType ).

tff(type_def_24,type,
    fun_Ar795681735le_alt: $tType ).

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

tff(type_def_26,type,
    fun_bo676255953i_bool: $tType ).

tff(type_def_27,type,
    fun_bo478202017t_bool: $tType ).

tff(type_def_28,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_29,type,
    fun_bo1613497205l_bool: $tType ).

tff(type_def_30,type,
    fun_bo2136393469t_bool: $tType ).

tff(type_def_31,type,
    fun_bo2138151889l_bool: $tType ).

tff(type_def_32,type,
    fun_bo1803678369l_bool: $tType ).

tff(type_def_33,type,
    fun_bo292969573t_bool: $tType ).

tff(type_def_34,type,
    fun_bo230129725t_bool: $tType ).

tff(type_def_35,type,
    fun_bo1156530537le_alt: $tType ).

tff(type_def_36,type,
    fun_na1602142942e_indi: $tType ).

tff(type_def_37,type,
    fun_nat_bool: $tType ).

tff(type_def_38,type,
    fun_nat_fun_nat_bool: $tType ).

tff(type_def_39,type,
    fun_fu350122099l_bool: $tType ).

tff(type_def_40,type,
    fun_fu892925833l_bool: $tType ).

tff(type_def_41,type,
    fun_fu341524965i_bool: $tType ).

tff(type_def_42,type,
    fun_fu932525193i_bool: $tType ).

tff(type_def_43,type,
    fun_fu1845530641i_bool: $tType ).

tff(type_def_44,type,
    fun_fu1605010205i_bool: $tType ).

tff(type_def_45,type,
    fun_fu1103697397l_bool: $tType ).

tff(type_def_46,type,
    fun_fu682929745l_bool: $tType ).

tff(type_def_47,type,
    fun_fu2069019647e_indi: $tType ).

tff(type_def_48,type,
    fun_fu103733537l_bool: $tType ).

tff(type_def_49,type,
    fun_fu23838287i_bool: $tType ).

tff(type_def_50,type,
    fun_fu658952305l_bool: $tType ).

tff(type_def_51,type,
    fun_fu746839971l_bool: $tType ).

tff(type_def_52,type,
    fun_fu50365883t_bool: $tType ).

tff(type_def_53,type,
    fun_fu2085524157t_bool: $tType ).

tff(type_def_54,type,
    fun_fu1255657237l_bool: $tType ).

tff(type_def_55,type,
    fun_fu1159982633l_bool: $tType ).

tff(type_def_56,type,
    fun_fu797886669l_bool: $tType ).

tff(type_def_57,type,
    fun_fu1940222097l_bool: $tType ).

tff(type_def_58,type,
    fun_fu1791463777l_bool: $tType ).

tff(type_def_59,type,
    fun_fu132047767l_bool: $tType ).

tff(type_def_60,type,
    fun_fu1655311859l_bool: $tType ).

tff(type_def_61,type,
    fun_fu897278719l_bool: $tType ).

tff(type_def_62,type,
    fun_fu2114498143t_bool: $tType ).

tff(type_def_63,type,
    fun_fu243829175l_bool: $tType ).

tff(type_def_64,type,
    fun_fu1019918867l_bool: $tType ).

tff(type_def_65,type,
    fun_fu1884117237i_bool: $tType ).

tff(type_def_66,type,
    fun_fu386577431l_bool: $tType ).

tff(type_def_67,type,
    fun_fu337461969l_bool: $tType ).

tff(type_def_68,type,
    fun_fu123258927l_bool: $tType ).

tff(type_def_69,type,
    fun_fu698697681l_bool: $tType ).

tff(type_def_70,type,
    fun_fu1743730523e_indi: $tType ).

tff(type_def_71,type,
    fun_fu1251737213l_bool: $tType ).

tff(type_def_72,type,
    fun_fu1950461939i_bool: $tType ).

tff(type_def_73,type,
    fun_fu1734842389l_bool: $tType ).

tff(type_def_74,type,
    fun_fu1904749695l_bool: $tType ).

tff(type_def_75,type,
    fun_fu376055641l_bool: $tType ).

tff(type_def_76,type,
    fun_fu1037822389l_bool: $tType ).

tff(type_def_77,type,
    fun_fu664235509l_bool: $tType ).

tff(type_def_78,type,
    fun_fu582883361l_bool: $tType ).

tff(type_def_79,type,
    fun_fu881806519l_bool: $tType ).

tff(type_def_80,type,
    fun_fu288602073l_bool: $tType ).

tff(type_def_81,type,
    fun_fu1123909713i_bool: $tType ).

tff(type_def_82,type,
    fun_fu304973171l_bool: $tType ).

tff(type_def_83,type,
    fun_fu1740763529l_bool: $tType ).

tff(type_def_84,type,
    fun_fu1786351335l_bool: $tType ).

tff(type_def_85,type,
    fun_fu1536608137l_bool: $tType ).

tff(type_def_86,type,
    fun_fu595758099l_bool: $tType ).

tff(type_def_87,type,
    fun_fu2105385269l_bool: $tType ).

tff(type_def_88,type,
    fun_fu1655733109l_bool: $tType ).

tff(type_def_89,type,
    fun_fu1371820951l_bool: $tType ).

tff(type_def_90,type,
    fun_fu278604415l_bool: $tType ).

tff(type_def_91,type,
    fun_fu1083074431i_bool: $tType ).

tff(type_def_92,type,
    fun_fu2011759009l_bool: $tType ).

tff(type_def_93,type,
    fun_fu491357777l_bool: $tType ).

tff(type_def_94,type,
    fun_fu1479273075l_bool: $tType ).

tff(type_def_95,type,
    fun_fu890127093l_bool: $tType ).

tff(type_def_96,type,
    fun_fu66812275l_bool: $tType ).

tff(type_def_97,type,
    fun_fu662212797i_bool: $tType ).

tff(type_def_98,type,
    fun_fu334384573e_indi: $tType ).

tff(type_def_99,type,
    fun_fu383145951l_bool: $tType ).

tff(type_def_100,type,
    fun_fu193278215t_bool: $tType ).

tff(type_def_101,type,
    fun_fu1760369922t_bool: $tType ).

tff(type_def_102,type,
    fun_fu1867632401i_bool: $tType ).

tff(type_def_103,type,
    fun_fu1917018721t_bool: $tType ).

tff(type_def_104,type,
    fun_fu1903211571l_bool: $tType ).

tff(type_def_105,type,
    fun_fu1008469439t_bool: $tType ).

tff(type_def_106,type,
    fun_fu1157966945l_bool: $tType ).

tff(type_def_107,type,
    fun_fu1965119761t_bool: $tType ).

tff(type_def_108,type,
    fun_fu148272765t_bool: $tType ).

tff(type_def_109,type,
    fun_Pr506339783e_indi: $tType ).

tff(type_def_110,type,
    fun_Pr1639951081t_bool: $tType ).

tff(type_def_111,type,
    fun_Pr123985543i_bool: $tType ).

tff(type_def_112,type,
    fun_Pr534938793l_bool: $tType ).

tff(type_def_113,type,
    produc624534567le_alt: $tType ).

tff(func_def_0,type,
    arrow_981905126le_IIA: fun_fu1251737213l_bool ).

tff(func_def_1,type,
    arrow_1008788854le_Lin: fun_fu383145951l_bool ).

tff(func_def_2,type,
    arrow_1880704820e_Prof: fun_fu103733537l_bool ).

tff(func_def_3,type,
    arrow_2009189698_above: fun_fu193278215t_bool ).

tff(func_def_4,type,
    arrow_1322316103ctator: fun_fu1950461939i_bool ).

tff(func_def_5,type,
    arrow_1126550734_mkbot: fun_fu1760369922t_bool ).

tff(func_def_6,type,
    arrow_1275257820_mktop: fun_fu1760369922t_bool ).

tff(func_def_7,type,
    arrow_807483785nimity: fun_fu1251737213l_bool ).

tff(func_def_8,type,
    cOMBB_124649523e_indi: ( fun_bo292969573t_bool * fun_Ar1871347069i_bool ) > fun_Ar2100459655t_bool ).

tff(func_def_9,type,
    cOMBB_1514803447e_indi: ( fun_nat_fun_nat_bool * fun_Ar2035712896di_nat ) > fun_Ar156616864t_bool ).

tff(func_def_10,type,
    cOMBB_715840641e_indi: ( fun_fu193278215t_bool * fun_Ar2047178847t_bool ) > fun_Ar2079322857t_bool ).

tff(func_def_11,type,
    cOMBB_1932856316e_indi: ( fun_fu1760369922t_bool * fun_Ar2047178847t_bool ) > fun_Ar1757019876t_bool ).

tff(func_def_12,type,
    cOMBC_1994570734t_bool: ( fun_Ar2079322857t_bool * arrow_1621810872le_alt ) > fun_Ar1757019876t_bool ).

tff(func_def_13,type,
    cOMBC_377836265t_bool: ( fun_Ar1757019876t_bool * arrow_1621810872le_alt ) > fun_Ar2047178847t_bool ).

tff(func_def_14,type,
    cOMBC_998415407t_bool: ( fun_Ar156616864t_bool * nat ) > fun_Ar1871347069i_bool ).

tff(func_def_15,type,
    cOMBC_64563468t_bool: ( fun_Ar2100459655t_bool * fun_Pr1639951081t_bool ) > fun_Ar2040671475t_bool ).

tff(func_def_16,type,
    cOMBC_1257424504t_bool: ( fun_Ar2040671475t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).

tff(func_def_17,type,
    cOMBK_206372180e_indi: fun_bo676255953i_bool ).

tff(func_def_18,type,
    cOMBK_70145528t_bool: fun_bo1613497205l_bool ).

tff(func_def_19,type,
    cOMBK_1362474068t_bool: fun_bo2138151889l_bool ).

tff(func_def_20,type,
    cOMBK_1801013008t_bool: fun_bo1803678369l_bool ).

tff(func_def_21,type,
    cOMBK_350462144le_alt: fun_bo230129725t_bool ).

tff(func_def_22,type,
    cOMBK_269839822t_bool: fun_fu341524965i_bool ).

tff(func_def_23,type,
    cOMBK_519762474t_bool: fun_fu932525193i_bool ).

tff(func_def_24,type,
    cOMBK_1207925178t_bool: fun_fu1845530641i_bool ).

tff(func_def_25,type,
    cOMBK_328807062le_alt: fun_fu1605010205i_bool ).

tff(func_def_26,type,
    cOMBK_167511280t_bool: fun_fu1159982633l_bool ).

tff(func_def_27,type,
    cOMBK_1853791052t_bool: fun_fu797886669l_bool ).

tff(func_def_28,type,
    cOMBK_1838733848t_bool: fun_fu1940222097l_bool ).

tff(func_def_29,type,
    cOMBK_290363320le_alt: fun_fu1791463777l_bool ).

tff(func_def_30,type,
    cOMBK_30438862e_indi: fun_fu337461969l_bool ).

tff(func_def_31,type,
    cOMBK_1481288432l_bool: fun_fu123258927l_bool ).

tff(func_def_32,type,
    cOMBK_869185066e_indi: fun_fu1740763529l_bool ).

tff(func_def_33,type,
    cOMBK_343479628l_bool: fun_fu1786351335l_bool ).

tff(func_def_34,type,
    cOMBK_2098615510e_indi: fun_fu491357777l_bool ).

tff(func_def_35,type,
    cOMBK_648664568l_bool: fun_fu1479273075l_bool ).

tff(func_def_36,type,
    cOMBK_639770490t_bool: fun_fu890127093l_bool ).

tff(func_def_37,type,
    cOMBK_164791446e_indi: fun_fu1917018721t_bool ).

tff(func_def_38,type,
    cOMBK_1897375160l_bool: fun_fu1008469439t_bool ).

tff(func_def_39,type,
    cOMBS_1833320732t_bool: ( fun_Ar2100459655t_bool * fun_Ar2047178847t_bool ) > fun_Ar2040671475t_bool ).

tff(func_def_40,type,
    cOMBS_1688227464t_bool: ( fun_Ar2040671475t_bool * fun_Ar2047178847t_bool ) > fun_Ar2047178847t_bool ).

tff(func_def_41,type,
    finite1317065577e_indi: fun_Ar1871347069i_bool > nat ).

tff(func_def_42,type,
    inj_on1177549232di_nat: ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > bool ).

tff(func_def_43,type,
    pi_Arr1077238675t_bool: ( fun_Ar1871347069i_bool * fun_Ar1784032663l_bool ) > fun_fu1103697397l_bool ).

tff(func_def_44,type,
    pi_Arr478149871t_bool: ( fun_Ar1871347069i_bool * fun_Ar884201459l_bool ) > fun_fu682929745l_bool ).

tff(func_def_45,type,
    pi_Arr1358199477t_bool: ( fun_Ar1871347069i_bool * fun_Ar1821573119l_bool ) > fun_fu103733537l_bool ).

tff(func_def_46,type,
    pi_Arr447918939le_alt: ( fun_Ar1871347069i_bool * fun_Ar2047178847t_bool ) > fun_fu2085524157t_bool ).

tff(func_def_47,type,
    pi_boo2120406325t_bool: ( fun_bool_bool * fun_bo1613497205l_bool ) > fun_fu132047767l_bool ).

tff(func_def_48,type,
    pi_boo853084305t_bool: ( fun_bool_bool * fun_bo2138151889l_bool ) > fun_fu1655311859l_bool ).

tff(func_def_49,type,
    pi_boo683563155t_bool: ( fun_bool_bool * fun_bo1803678369l_bool ) > fun_fu897278719l_bool ).

tff(func_def_50,type,
    pi_boo158890749le_alt: ( fun_bool_bool * fun_bo230129725t_bool ) > fun_fu2114498143t_bool ).

tff(func_def_51,type,
    pi_fun1549517203e_indi: ( fun_fu103733537l_bool * fun_fu23838287i_bool ) > fun_fu1884117237i_bool ).

tff(func_def_52,type,
    pi_fun953636405l_bool: ( fun_fu103733537l_bool * fun_fu658952305l_bool ) > fun_fu386577431l_bool ).

tff(func_def_53,type,
    pi_fun456133649t_bool: ( fun_fu103733537l_bool * fun_fu746839971l_bool ) > fun_fu1251737213l_bool ).

tff(func_def_54,type,
    pi_fun1545124079e_indi: ( fun_fu1251737213l_bool * fun_fu1950461939i_bool ) > fun_fu1123909713i_bool ).

tff(func_def_55,type,
    pi_fun465500049l_bool: ( fun_fu1251737213l_bool * fun_fu1734842389l_bool ) > fun_fu304973171l_bool ).

tff(func_def_56,type,
    pi_fun2132478361e_indi: ( fun_fu383145951l_bool * fun_fu1867632401i_bool ) > fun_fu1083074431i_bool ).

tff(func_def_57,type,
    pi_fun779925307l_bool: ( fun_fu383145951l_bool * fun_fu1903211571l_bool ) > fun_fu2011759009l_bool ).

tff(func_def_58,type,
    pi_Pro723839835e_indi: ( fun_Pr1639951081t_bool * fun_Pr123985543i_bool ) > fun_fu662212797i_bool ).

tff(func_def_59,type,
    pi_Pro811330557t_bool: ( fun_Pr1639951081t_bool * fun_Pr534938793l_bool ) > fun_fu383145951l_bool ).

tff(func_def_60,type,
    hilber797233813di_nat: ( fun_Ar1871347069i_bool * fun_Ar2035712896di_nat ) > fun_na1602142942e_indi ).

tff(func_def_61,type,
    if_fun95824985t_bool: fun_bo292969573t_bool ).

tff(func_def_62,type,
    ord_less_bool: fun_bo1549164019l_bool ).

tff(func_def_63,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_64,type,
    ord_le287438291i_bool: fun_fu892925833l_bool ).

tff(func_def_65,type,
    ord_le2059466615l_bool: fun_fu698697681l_bool ).

tff(func_def_66,type,
    ord_le1419690707l_bool: fun_fu1536608137l_bool ).

tff(func_def_67,type,
    ord_le1472193545l_bool: fun_fu66812275l_bool ).

tff(func_def_68,type,
    ord_le1051050815t_bool: fun_fu1157966945l_bool ).

tff(func_def_69,type,
    top_top_bool: bool ).

tff(func_def_70,type,
    top_to850136695i_bool: fun_Ar1871347069i_bool ).

tff(func_def_71,type,
    top_to1647826457l_bool: fun_bool_bool ).

tff(func_def_72,type,
    top_to653038619l_bool: fun_fu103733537l_bool ).

tff(func_def_73,type,
    top_to2127553399l_bool: fun_fu1251737213l_bool ).

tff(func_def_74,type,
    top_to1057791589l_bool: fun_fu383145951l_bool ).

tff(func_def_75,type,
    top_to710777827t_bool: fun_Pr1639951081t_bool ).

tff(func_def_76,type,
    produc170576535le_alt: ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > produc624534567le_alt ).

tff(func_def_77,type,
    collec1241994086e_indi: fun_Ar1871347069i_bool > fun_Ar1871347069i_bool ).

tff(func_def_78,type,
    collec861220362t_bool: fun_fu103733537l_bool > fun_fu103733537l_bool ).

tff(func_def_79,type,
    collec154865254t_bool: fun_fu1251737213l_bool > fun_fu1251737213l_bool ).

tff(func_def_80,type,
    collec1697917566t_bool: fun_fu383145951l_bool > fun_fu383145951l_bool ).

tff(func_def_81,type,
    collec2140722898le_alt: fun_Pr1639951081t_bool > fun_Pr1639951081t_bool ).

tff(func_def_82,type,
    fFalse: bool ).

tff(func_def_83,type,
    fTrue: bool ).

tff(func_def_84,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_85,type,
    hAPP_A272835723t_bool: ( fun_Ar154839667t_bool * arrow_1621810872le_alt ) > fun_Ar1822233582t_bool ).

tff(func_def_86,type,
    hAPP_A476679046t_bool: ( fun_Ar1822233582t_bool * arrow_1621810872le_alt ) > fun_Pr1639951081t_bool ).

tff(func_def_87,type,
    hAPP_A1059798043i_bool: ( fun_Ar1871347069i_bool * arrow_501706939e_indi ) > bool ).

tff(func_def_88,type,
    hAPP_A1741215436di_nat: ( fun_Ar2035712896di_nat * arrow_501706939e_indi ) > nat ).

tff(func_def_89,type,
    hAPP_A784015157t_bool: ( fun_Ar2079322857t_bool * arrow_501706939e_indi ) > fun_Ar154839667t_bool ).

tff(func_def_90,type,
    hAPP_A711829680t_bool: ( fun_Ar1757019876t_bool * arrow_501706939e_indi ) > fun_Ar1822233582t_bool ).

tff(func_def_91,type,
    hAPP_A1159468061t_bool: ( fun_Ar1200683263t_bool * arrow_501706939e_indi ) > fun_Ar2047178847t_bool ).

tff(func_def_92,type,
    hAPP_A1239621182t_bool: ( fun_Ar156616864t_bool * arrow_501706939e_indi ) > fun_nat_bool ).

tff(func_def_93,type,
    hAPP_A1790795747l_bool: ( fun_Ar1784032663l_bool * arrow_501706939e_indi ) > fun_fu103733537l_bool ).

tff(func_def_94,type,
    hAPP_A1168502649t_bool: ( fun_Ar1570071899t_bool * arrow_501706939e_indi ) > fun_fu50365883t_bool ).

tff(func_def_95,type,
    hAPP_A107624255l_bool: ( fun_Ar884201459l_bool * arrow_501706939e_indi ) > fun_fu1251737213l_bool ).

tff(func_def_96,type,
    hAPP_A1710743709l_bool: ( fun_Ar1821573119l_bool * arrow_501706939e_indi ) > fun_fu383145951l_bool ).

tff(func_def_97,type,
    hAPP_A1985966547t_bool: ( fun_Ar2100459655t_bool * arrow_501706939e_indi ) > fun_fu1965119761t_bool ).

tff(func_def_98,type,
    hAPP_A301260095t_bool: ( fun_Ar2040671475t_bool * arrow_501706939e_indi ) > fun_fu148272765t_bool ).

tff(func_def_99,type,
    hAPP_A2044747691t_bool: ( fun_Ar2047178847t_bool * arrow_501706939e_indi ) > fun_Pr1639951081t_bool ).

tff(func_def_100,type,
    hAPP_A2034733541le_alt: ( fun_Ar795681735le_alt * arrow_501706939e_indi ) > produc624534567le_alt ).

tff(func_def_101,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_102,type,
    hAPP_b611520797i_bool: ( fun_bo676255953i_bool * bool ) > fun_Ar1871347069i_bool ).

tff(func_def_103,type,
    hAPP_b114674879t_bool: ( fun_bo478202017t_bool * bool ) > fun_Ar2047178847t_bool ).

tff(func_def_104,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_105,type,
    hAPP_b1178471617l_bool: ( fun_bo1613497205l_bool * bool ) > fun_fu103733537l_bool ).

tff(func_def_106,type,
    hAPP_b1112685083t_bool: ( fun_bo2136393469t_bool * bool ) > fun_fu50365883t_bool ).

tff(func_def_107,type,
    hAPP_b930206237l_bool: ( fun_bo2138151889l_bool * bool ) > fun_fu1251737213l_bool ).

tff(func_def_108,type,
    hAPP_b1017527359l_bool: ( fun_bo1803678369l_bool * bool ) > fun_fu383145951l_bool ).

tff(func_def_109,type,
    hAPP_b1702702257t_bool: ( fun_bo292969573t_bool * bool ) > fun_fu1965119761t_bool ).

tff(func_def_110,type,
    hAPP_b1848524425t_bool: ( fun_bo230129725t_bool * bool ) > fun_Pr1639951081t_bool ).

tff(func_def_111,type,
    hAPP_b98736263le_alt: ( fun_bo1156530537le_alt * bool ) > produc624534567le_alt ).

tff(func_def_112,type,
    hAPP_n1582158000e_indi: ( fun_na1602142942e_indi * nat ) > arrow_501706939e_indi ).

tff(func_def_113,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_114,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_115,type,
    hAPP_f90330565l_bool: ( fun_fu350122099l_bool * fun_Ar1871347069i_bool ) > bool ).

tff(func_def_116,type,
    hAPP_f1993665755l_bool: ( fun_fu892925833l_bool * fun_Ar1871347069i_bool ) > fun_fu350122099l_bool ).

tff(func_def_117,type,
    hAPP_f823592631i_bool: ( fun_fu341524965i_bool * fun_Ar1871347069i_bool ) > fun_fu23838287i_bool ).

tff(func_def_118,type,
    hAPP_f1224613979i_bool: ( fun_fu932525193i_bool * fun_Ar1871347069i_bool ) > fun_fu1950461939i_bool ).

tff(func_def_119,type,
    hAPP_f1364159657i_bool: ( fun_fu1845530641i_bool * fun_Ar1871347069i_bool ) > fun_fu1867632401i_bool ).

tff(func_def_120,type,
    hAPP_f1561296623i_bool: ( fun_fu1605010205i_bool * fun_Ar1871347069i_bool ) > fun_Pr123985543i_bool ).

tff(func_def_121,type,
    hAPP_f1631746589e_indi: ( fun_fu2069019647e_indi * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).

tff(func_def_122,type,
    hAPP_f1095388607l_bool: ( fun_fu103733537l_bool * fun_Ar2047178847t_bool ) > bool ).

tff(func_def_123,type,
    hAPP_f1511451035i_bool: ( fun_fu23838287i_bool * fun_Ar2047178847t_bool ) > fun_Ar1871347069i_bool ).

tff(func_def_124,type,
    hAPP_f1418708797l_bool: ( fun_fu658952305l_bool * fun_Ar2047178847t_bool ) > fun_bool_bool ).

tff(func_def_125,type,
    hAPP_f1265202753l_bool: ( fun_fu746839971l_bool * fun_Ar2047178847t_bool ) > fun_fu383145951l_bool ).

tff(func_def_126,type,
    hAPP_f718157575t_bool: ( fun_fu50365883t_bool * fun_Ar2047178847t_bool ) > fun_Pr1639951081t_bool ).

tff(func_def_127,type,
    hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).

tff(func_def_128,type,
    hAPP_f1325493883l_bool: ( fun_fu1159982633l_bool * fun_bool_bool ) > fun_fu658952305l_bool ).

tff(func_def_129,type,
    hAPP_f1364914207l_bool: ( fun_fu797886669l_bool * fun_bool_bool ) > fun_fu1734842389l_bool ).

tff(func_def_130,type,
    hAPP_f1230984105l_bool: ( fun_fu1940222097l_bool * fun_bool_bool ) > fun_fu1903211571l_bool ).

tff(func_def_131,type,
    hAPP_f1601816755l_bool: ( fun_fu1791463777l_bool * fun_bool_bool ) > fun_Pr534938793l_bool ).

tff(func_def_132,type,
    hAPP_f1753158741l_bool: ( fun_fu243829175l_bool * fun_fu1103697397l_bool ) > bool ).

tff(func_def_133,type,
    hAPP_f598211249l_bool: ( fun_fu1019918867l_bool * fun_fu682929745l_bool ) > bool ).

tff(func_def_134,type,
    hAPP_f1237345129l_bool: ( fun_fu386577431l_bool * fun_fu103733537l_bool ) > bool ).

tff(func_def_135,type,
    hAPP_f466810275l_bool: ( fun_fu337461969l_bool * fun_fu103733537l_bool ) > fun_Ar1784032663l_bool ).

tff(func_def_136,type,
    hAPP_f2013855105l_bool: ( fun_fu123258927l_bool * fun_fu103733537l_bool ) > fun_bo1613497205l_bool ).

tff(func_def_137,type,
    hAPP_f786935331l_bool: ( fun_fu698697681l_bool * fun_fu103733537l_bool ) > fun_fu386577431l_bool ).

tff(func_def_138,type,
    hAPP_f87993209e_indi: ( fun_fu1743730523e_indi * fun_fu50365883t_bool ) > arrow_501706939e_indi ).

tff(func_def_139,type,
    hAPP_f725100827l_bool: ( fun_fu1251737213l_bool * fun_fu50365883t_bool ) > bool ).

tff(func_def_140,type,
    hAPP_f1559864639i_bool: ( fun_fu1950461939i_bool * fun_fu50365883t_bool ) > fun_Ar1871347069i_bool ).

tff(func_def_141,type,
    hAPP_f626809057l_bool: ( fun_fu1734842389l_bool * fun_fu50365883t_bool ) > fun_bool_bool ).

tff(func_def_142,type,
    hAPP_f748921117l_bool: ( fun_fu1904749695l_bool * fun_fu2085524157t_bool ) > bool ).

tff(func_def_143,type,
    hAPP_f1481710327l_bool: ( fun_fu376055641l_bool * fun_fu132047767l_bool ) > bool ).

tff(func_def_144,type,
    hAPP_f759862099l_bool: ( fun_fu1037822389l_bool * fun_fu1655311859l_bool ) > bool ).

tff(func_def_145,type,
    hAPP_f639792199l_bool: ( fun_fu664235509l_bool * fun_fu897278719l_bool ) > bool ).

tff(func_def_146,type,
    hAPP_f899216831l_bool: ( fun_fu582883361l_bool * fun_fu2114498143t_bool ) > bool ).

tff(func_def_147,type,
    hAPP_f243652437l_bool: ( fun_fu881806519l_bool * fun_fu1884117237i_bool ) > bool ).

tff(func_def_148,type,
    hAPP_f1394256759l_bool: ( fun_fu288602073l_bool * fun_fu386577431l_bool ) > bool ).

tff(func_def_149,type,
    hAPP_f1435434693l_bool: ( fun_fu304973171l_bool * fun_fu1251737213l_bool ) > bool ).

tff(func_def_150,type,
    hAPP_f544895323l_bool: ( fun_fu1740763529l_bool * fun_fu1251737213l_bool ) > fun_Ar884201459l_bool ).

tff(func_def_151,type,
    hAPP_f989466937l_bool: ( fun_fu1786351335l_bool * fun_fu1251737213l_bool ) > fun_bo2138151889l_bool ).

tff(func_def_152,type,
    hAPP_f1303771867l_bool: ( fun_fu1536608137l_bool * fun_fu1251737213l_bool ) > fun_fu304973171l_bool ).

tff(func_def_153,type,
    hAPP_f174050481l_bool: ( fun_fu595758099l_bool * fun_fu1123909713i_bool ) > bool ).

tff(func_def_154,type,
    hAPP_f1827424979l_bool: ( fun_fu2105385269l_bool * fun_fu304973171l_bool ) > bool ).

tff(func_def_155,type,
    hAPP_f359017159l_bool: ( fun_fu1655733109l_bool * fun_fu1083074431i_bool ) > bool ).

tff(func_def_156,type,
    hAPP_f1347377641l_bool: ( fun_fu1371820951l_bool * fun_fu2011759009l_bool ) > bool ).

tff(func_def_157,type,
    hAPP_f1270259485l_bool: ( fun_fu278604415l_bool * fun_fu662212797i_bool ) > bool ).

tff(func_def_158,type,
    hAPP_f180608831l_bool: ( fun_fu2011759009l_bool * fun_fu383145951l_bool ) > bool ).

tff(func_def_159,type,
    hAPP_f1651042461l_bool: ( fun_fu491357777l_bool * fun_fu383145951l_bool ) > fun_Ar1821573119l_bool ).

tff(func_def_160,type,
    hAPP_f71505983l_bool: ( fun_fu1479273075l_bool * fun_fu383145951l_bool ) > fun_bo1803678369l_bool ).

tff(func_def_161,type,
    hAPP_f459175489l_bool: ( fun_fu890127093l_bool * fun_fu383145951l_bool ) > fun_fu746839971l_bool ).

tff(func_def_162,type,
    hAPP_f279586623l_bool: ( fun_fu66812275l_bool * fun_fu383145951l_bool ) > fun_fu2011759009l_bool ).

tff(func_def_163,type,
    hAPP_f671542927e_indi: ( fun_fu334384573e_indi * fun_Pr1639951081t_bool ) > arrow_501706939e_indi ).

tff(func_def_164,type,
    hAPP_f1944886577l_bool: ( fun_fu383145951l_bool * fun_Pr1639951081t_bool ) > bool ).

tff(func_def_165,type,
    hAPP_f1560118175t_bool: ( fun_fu193278215t_bool * fun_Pr1639951081t_bool ) > fun_Ar154839667t_bool ).

tff(func_def_166,type,
    hAPP_f1699392794t_bool: ( fun_fu1760369922t_bool * fun_Pr1639951081t_bool ) > fun_Ar1822233582t_bool ).

tff(func_def_167,type,
    hAPP_f906860201i_bool: ( fun_fu1867632401i_bool * fun_Pr1639951081t_bool ) > fun_Ar1871347069i_bool ).

tff(func_def_168,type,
    hAPP_f1172974131t_bool: ( fun_fu1917018721t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).

tff(func_def_169,type,
    hAPP_f2128533835l_bool: ( fun_fu1903211571l_bool * fun_Pr1639951081t_bool ) > fun_bool_bool ).

tff(func_def_170,type,
    hAPP_f1758973969t_bool: ( fun_fu1008469439t_bool * fun_Pr1639951081t_bool ) > fun_bo230129725t_bool ).

tff(func_def_171,type,
    hAPP_f1911990195l_bool: ( fun_fu1157966945l_bool * fun_Pr1639951081t_bool ) > fun_fu383145951l_bool ).

tff(func_def_172,type,
    hAPP_f910728105t_bool: ( fun_fu1965119761t_bool * fun_Pr1639951081t_bool ) > fun_fu148272765t_bool ).

tff(func_def_173,type,
    hAPP_f727188501t_bool: ( fun_fu148272765t_bool * fun_Pr1639951081t_bool ) > fun_Pr1639951081t_bool ).

tff(func_def_174,type,
    hAPP_P163170789e_indi: ( fun_Pr506339783e_indi * produc624534567le_alt ) > arrow_501706939e_indi ).

tff(func_def_175,type,
    hAPP_P751176071t_bool: ( fun_Pr1639951081t_bool * produc624534567le_alt ) > bool ).

tff(func_def_176,type,
    hAPP_P259956691i_bool: ( fun_Pr123985543i_bool * produc624534567le_alt ) > fun_Ar1871347069i_bool ).

tff(func_def_177,type,
    hAPP_P2005668213l_bool: ( fun_Pr534938793l_bool * produc624534567le_alt ) > fun_bool_bool ).

tff(func_def_178,type,
    member1124131880e_indi: arrow_501706939e_indi > fun_fu350122099l_bool ).

tff(func_def_179,type,
    member_bool: bool > fun_fu1255657237l_bool ).

tff(func_def_180,type,
    member1701178322t_bool: fun_Ar1200683263t_bool > fun_fu243829175l_bool ).

tff(func_def_181,type,
    member2069173038t_bool: fun_Ar1570071899t_bool > fun_fu1019918867l_bool ).

tff(func_def_182,type,
    member558395596t_bool: fun_Ar2047178847t_bool > fun_fu386577431l_bool ).

tff(func_def_183,type,
    member844573594le_alt: fun_Ar795681735le_alt > fun_fu1904749695l_bool ).

tff(func_def_184,type,
    member1494646772t_bool: fun_bo478202017t_bool > fun_fu376055641l_bool ).

tff(func_def_185,type,
    member1211611472t_bool: fun_bo2136393469t_bool > fun_fu1037822389l_bool ).

tff(func_def_186,type,
    member2079888426t_bool: fun_bo230129725t_bool > fun_fu664235509l_bool ).

tff(func_def_187,type,
    member158436796le_alt: fun_bo1156530537le_alt > fun_fu582883361l_bool ).

tff(func_def_188,type,
    member422031058e_indi: fun_fu2069019647e_indi > fun_fu881806519l_bool ).

tff(func_def_189,type,
    member1120178292l_bool: fun_fu103733537l_bool > fun_fu288602073l_bool ).

tff(func_def_190,type,
    member256508712t_bool: fun_fu50365883t_bool > fun_fu304973171l_bool ).

tff(func_def_191,type,
    member95348014e_indi: fun_fu1743730523e_indi > fun_fu595758099l_bool ).

tff(func_def_192,type,
    member326955216l_bool: fun_fu1251737213l_bool > fun_fu2105385269l_bool ).

tff(func_def_193,type,
    member993084970e_indi: fun_fu334384573e_indi > fun_fu1655733109l_bool ).

tff(func_def_194,type,
    member85421004l_bool: fun_fu383145951l_bool > fun_fu1371820951l_bool ).

tff(func_def_195,type,
    member555231642e_indi: fun_Pr506339783e_indi > fun_fu278604415l_bool ).

tff(func_def_196,type,
    member641857340t_bool: fun_Pr1639951081t_bool > fun_fu2011759009l_bool ).

tff(func_def_197,type,
    member1484933012le_alt: produc624534567le_alt > fun_fu383145951l_bool ).

tff(func_def_198,type,
    f: fun_fu50365883t_bool ).

tff(func_def_199,type,
    lab: fun_Pr1639951081t_bool ).

tff(func_def_200,type,
    lba: fun_Pr1639951081t_bool ).

tff(func_def_201,type,
    p: fun_Ar2047178847t_bool ).

tff(func_def_202,type,
    a: arrow_1621810872le_alt ).

tff(func_def_203,type,
    b: arrow_1621810872le_alt ).

tff(func_def_204,type,
    c: arrow_1621810872le_alt ).

tff(func_def_205,type,
    d: arrow_1621810872le_alt ).

tff(func_def_206,type,
    e: arrow_1621810872le_alt ).

tff(func_def_207,type,
    h: fun_Ar2035712896di_nat ).

tff(func_def_208,type,
    n: nat ).

tff(func_def_209,type,
    sK3: ( arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).

tff(func_def_210,type,
    sK4: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).

tff(func_def_211,type,
    sK5: ( arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).

tff(func_def_212,type,
    sK6: ( arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt ) > arrow_501706939e_indi ).

tff(func_def_213,type,
    sK7: ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).

tff(func_def_214,type,
    sK8: ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).

tff(func_def_215,type,
    sK9: ( arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).

tff(pred_def_1,type,
    hBOOL: bool > $o ).

tff(pred_def_2,type,
    sP0: arrow_501706939e_indi > $o ).

tff(pred_def_3,type,
    sP1: arrow_501706939e_indi > $o ).

tff(pred_def_4,type,
    sP2: arrow_501706939e_indi > $o ).

tff(f380,plain,
    $false,
    inference(unit_resulting_resolution,[],[f324,f371,f331]) ).

tff(f331,plain,
    ( ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e))))))
    | hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))) ),
    inference(cnf_transformation,[],[f286]) ).

tff(f286,plain,
    ( ( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
      | ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) )
    & ( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e))))))
      | ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))) ) ),
    inference(nnf_transformation,[],[f15]) ).

tff(f15,axiom,
    ( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
  <=> hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).

tff(f371,plain,
    ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
    inference(cnf_transformation,[],[f241]) ).

tff(f241,plain,
    ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
    inference(flattening,[],[f240]) ).

tff(f240,negated_conjecture,
    ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
    inference(negated_conjecture,[],[f239]) ).

tff(f239,conjecture,
    hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f324,plain,
    hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SCT171_1 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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
% 0.13/0.34  % DateTime   : Tue Aug 30 12:52:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (7005)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (7022)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54  % (7005)Instruction limit reached!
% 0.19/0.54  % (7005)------------------------------
% 0.19/0.54  % (7005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7022)Instruction limit reached!
% 0.19/0.54  % (7022)------------------------------
% 0.19/0.54  % (7022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7005)Termination reason: Unknown
% 0.19/0.54  % (7005)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (7005)Memory used [KB]: 2430
% 0.19/0.54  % (7005)Time elapsed: 0.009 s
% 0.19/0.54  % (7005)Instructions burned: 19 (million)
% 0.19/0.54  % (7005)------------------------------
% 0.19/0.54  % (7005)------------------------------
% 0.19/0.55  % (7007)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (7022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7022)Termination reason: Unknown
% 0.19/0.55  % (7022)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (7022)Memory used [KB]: 2174
% 0.19/0.55  % (7022)Time elapsed: 0.010 s
% 0.19/0.55  % (7022)Instructions burned: 25 (million)
% 0.19/0.55  % (7022)------------------------------
% 0.19/0.55  % (7022)------------------------------
% 0.19/0.55  % (7008)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (6996)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (6999)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55  % (7008)Instruction limit reached!
% 0.19/0.55  % (7008)------------------------------
% 0.19/0.55  % (7008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (7008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7008)Termination reason: Unknown
% 0.19/0.55  % (7008)Termination phase: Preprocessing 3
% 0.19/0.55  
% 0.19/0.55  % (7008)Memory used [KB]: 2174
% 0.19/0.55  % (7008)Time elapsed: 0.004 s
% 0.19/0.55  % (7008)Instructions burned: 7 (million)
% 0.19/0.55  % (7008)------------------------------
% 0.19/0.55  % (7008)------------------------------
% 1.41/0.55  % (7016)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.41/0.55  % (6994)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.56  % (7011)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.56  % (6993)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.41/0.56  % (7000)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.41/0.56  % (6994)Instruction limit reached!
% 1.41/0.56  % (6994)------------------------------
% 1.41/0.56  % (6994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56  % (6994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56  % (6994)Termination reason: Unknown
% 1.41/0.56  % (6994)Termination phase: Property scanning
% 1.41/0.56  
% 1.41/0.56  % (6994)Memory used [KB]: 2046
% 1.41/0.56  % (6994)Time elapsed: 0.006 s
% 1.41/0.56  % (6994)Instructions burned: 13 (million)
% 1.41/0.56  % (6994)------------------------------
% 1.41/0.56  % (6994)------------------------------
% 1.41/0.56  % (7015)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.41/0.56  % (7003)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.41/0.56  % (7007)Instruction limit reached!
% 1.41/0.56  % (7007)------------------------------
% 1.41/0.56  % (7007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56  % (7007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56  % (7007)Termination reason: Unknown
% 1.41/0.56  % (7007)Termination phase: Preprocessing 1
% 1.41/0.56  
% 1.41/0.56  % (7007)Memory used [KB]: 2046
% 1.41/0.56  % (7010)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.56  % (7007)Time elapsed: 0.003 s
% 1.41/0.56  % (7007)Instructions burned: 4 (million)
% 1.41/0.56  % (7007)------------------------------
% 1.41/0.56  % (7007)------------------------------
% 1.41/0.57  % (7013)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.41/0.57  % (7012)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.56/0.57  % (6999)Refutation not found, incomplete strategy% (6999)------------------------------
% 1.56/0.57  % (6999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (6999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (6999)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57  
% 1.56/0.57  % (6999)Memory used [KB]: 6524
% 1.56/0.57  % (6999)Time elapsed: 0.126 s
% 1.56/0.57  % (6999)Instructions burned: 15 (million)
% 1.56/0.57  % (6999)------------------------------
% 1.56/0.57  % (6999)------------------------------
% 1.56/0.57  % (6998)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.56/0.57  % (7004)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.57  % (7021)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.56/0.57  % (6996)First to succeed.
% 1.56/0.57  % (7004)Instruction limit reached!
% 1.56/0.57  % (7004)------------------------------
% 1.56/0.57  % (7004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (7004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (7004)Termination reason: Unknown
% 1.56/0.57  % (7004)Termination phase: Naming
% 1.56/0.57  
% 1.56/0.57  % (7004)Memory used [KB]: 2174
% 1.56/0.57  % (7004)Time elapsed: 0.005 s
% 1.56/0.57  % (7004)Instructions burned: 7 (million)
% 1.56/0.57  % (7004)------------------------------
% 1.56/0.57  % (7004)------------------------------
% 1.56/0.57  % (7011)Instruction limit reached!
% 1.56/0.57  % (7011)------------------------------
% 1.56/0.57  % (7011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (7011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (7011)Termination reason: Unknown
% 1.56/0.57  % (7011)Termination phase: SInE selection
% 1.56/0.57  
% 1.56/0.57  % (7011)Memory used [KB]: 1791
% 1.56/0.57  % (7011)Time elapsed: 0.004 s
% 1.56/0.57  % (7011)Instructions burned: 2 (million)
% 1.56/0.57  % (7011)------------------------------
% 1.56/0.57  % (7011)------------------------------
% 1.56/0.57  % (7002)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.56/0.57  % (7021)Instruction limit reached!
% 1.56/0.57  % (7021)------------------------------
% 1.56/0.57  % (7021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (7021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (7021)Termination reason: Unknown
% 1.56/0.57  % (7021)Termination phase: Preprocessing 3
% 1.56/0.57  
% 1.56/0.57  % (7021)Memory used [KB]: 2430
% 1.56/0.57  % (7021)Time elapsed: 0.007 s
% 1.56/0.57  % (7021)Instructions burned: 10 (million)
% 1.56/0.57  % (7021)------------------------------
% 1.56/0.57  % (7021)------------------------------
% 1.56/0.58  % (7020)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.56/0.58  % (7019)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.58  % (7014)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.58  % (6997)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.56/0.58  % (7006)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.58  % (6998)Instruction limit reached!
% 1.56/0.58  % (6998)------------------------------
% 1.56/0.58  % (6998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (7003)Instruction limit reached!
% 1.56/0.59  % (7003)------------------------------
% 1.56/0.59  % (7003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (7003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (7003)Termination reason: Unknown
% 1.56/0.59  % (7003)Termination phase: Property scanning
% 1.56/0.59  
% 1.56/0.59  % (7003)Memory used [KB]: 2430
% 1.56/0.59  % (7003)Time elapsed: 0.008 s
% 1.56/0.59  % (7003)Instructions burned: 13 (million)
% 1.56/0.59  % (7003)------------------------------
% 1.56/0.59  % (7003)------------------------------
% 1.56/0.59  % (6998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (6995)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.56/0.59  % (6998)Termination reason: Unknown
% 1.56/0.59  % (6998)Termination phase: Property scanning
% 1.56/0.59  
% 1.56/0.59  % (6998)Memory used [KB]: 2430
% 1.56/0.59  % (6998)Time elapsed: 0.013 s
% 1.56/0.59  % (6998)Instructions burned: 16 (million)
% 1.56/0.59  % (6998)------------------------------
% 1.56/0.59  % (6998)------------------------------
% 1.56/0.59  % (7010)Instruction limit reached!
% 1.56/0.59  % (7010)------------------------------
% 1.56/0.59  % (7010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (7010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (7010)Termination reason: Unknown
% 1.56/0.59  % (7010)Termination phase: Preprocessing 1
% 1.56/0.59  
% 1.56/0.59  % (7010)Memory used [KB]: 1918
% 1.56/0.59  % (7010)Time elapsed: 0.003 s
% 1.56/0.59  % (7010)Instructions burned: 4 (million)
% 1.56/0.59  % (7010)------------------------------
% 1.56/0.59  % (7010)------------------------------
% 1.56/0.59  % (6995)Instruction limit reached!
% 1.56/0.59  % (6995)------------------------------
% 1.56/0.59  % (6995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (6995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (6995)Termination reason: Unknown
% 1.56/0.59  % (6995)Termination phase: Preprocessing 1
% 1.56/0.59  
% 1.56/0.59  % (6995)Memory used [KB]: 1918
% 1.56/0.59  % (6995)Time elapsed: 0.002 s
% 1.56/0.59  % (6995)Instructions burned: 3 (million)
% 1.56/0.59  % (6995)------------------------------
% 1.56/0.59  % (6995)------------------------------
% 1.56/0.59  % (7018)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.56/0.59  % (7001)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.56/0.59  % (7001)Refutation not found, incomplete strategy% (7001)------------------------------
% 1.56/0.59  % (7001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (7001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (7001)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.59  
% 1.56/0.59  % (7001)Memory used [KB]: 6524
% 1.56/0.59  % (7001)Time elapsed: 0.161 s
% 1.56/0.59  % (7001)Instructions burned: 11 (million)
% 1.56/0.59  % (7001)------------------------------
% 1.56/0.59  % (7001)------------------------------
% 1.56/0.59  % (7000)Instruction limit reached!
% 1.56/0.59  % (7000)------------------------------
% 1.56/0.59  % (7000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (7000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (7000)Termination reason: Unknown
% 1.56/0.59  % (7000)Termination phase: Saturation
% 1.56/0.59  
% 1.56/0.59  % (7000)Memory used [KB]: 3070
% 1.56/0.59  % (7000)Time elapsed: 0.019 s
% 1.56/0.59  % (7000)Instructions burned: 40 (million)
% 1.56/0.59  % (7000)------------------------------
% 1.56/0.59  % (7000)------------------------------
% 1.56/0.60  % (6996)Refutation found. Thanks to Tanya!
% 1.56/0.60  % SZS status Theorem for theBenchmark
% 1.56/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.60  % (6996)------------------------------
% 1.56/0.60  % (6996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60  % (6996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.60  % (6996)Termination reason: Refutation
% 1.56/0.60  
% 1.56/0.60  % (6996)Memory used [KB]: 6652
% 1.56/0.60  % (6996)Time elapsed: 0.147 s
% 1.56/0.60  % (6996)Instructions burned: 15 (million)
% 1.56/0.60  % (6996)------------------------------
% 1.56/0.60  % (6996)------------------------------
% 1.56/0.60  % (6984)Success in time 0.258 s
%------------------------------------------------------------------------------