%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP198^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:47 AM UTC 2026
% Result : Theorem 0.78s 0.46s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 139 ( 5 ~; 0 |; 0 &; 134 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 38 ( 37 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 246 ( 244 usr; 7 con; 0-4 aty)
% Number of variables : 22 ( 6 ^; 16 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr605909289e_real: $tType ).
thf(type_def_6,type,
produc1014656201e_real: $tType ).
thf(type_def_7,type,
set_Pr1517071815e_real: $tType ).
thf(type_def_8,type,
produc199503591e_real: $tType ).
thf(type_def_9,type,
set_Pr521705191e_real: $tType ).
thf(type_def_10,type,
produc1416364679e_real: $tType ).
thf(type_def_11,type,
set_Pr821009180r_real: $tType ).
thf(type_def_12,type,
set_Pr397354154e_real: $tType ).
thf(type_def_13,type,
produc2139219430r_real: $tType ).
thf(type_def_14,type,
produc1993135732e_real: $tType ).
thf(type_def_15,type,
set_Pr1588228599e_real: $tType ).
thf(type_def_16,type,
set_Pr1730352763l_real: $tType ).
thf(type_def_17,type,
set_Pr307567739e_real: $tType ).
thf(type_def_18,type,
produc1120170903e_real: $tType ).
thf(type_def_19,type,
produc729247771l_real: $tType ).
thf(type_def_20,type,
produc1020032539e_real: $tType ).
thf(type_def_21,type,
set_Pr366573913real_o: $tType ).
thf(type_def_22,type,
set_Pr268868489e_real: $tType ).
thf(type_def_23,type,
produc1606031907real_o: $tType ).
thf(type_def_24,type,
produc104944723e_real: $tType ).
thf(type_def_25,type,
set_Pr1919093775l_real: $tType ).
thf(type_def_26,type,
set_ch845833233e_real: $tType ).
thf(type_def_27,type,
produc96687023l_real: $tType ).
thf(type_def_28,type,
set_Pr1053253703real_o: $tType ).
thf(type_def_29,type,
produc2070499431real_o: $tType ).
thf(type_def_30,type,
set_Pr1530225953e_real: $tType ).
thf(type_def_31,type,
set_Pr42335993r_real: $tType ).
thf(type_def_32,type,
produc1863992257e_real: $tType ).
thf(type_def_33,type,
produc928489369r_real: $tType ).
thf(type_def_34,type,
set_char_real_real: $tType ).
thf(type_def_35,type,
set_char_real_o: $tType ).
thf(type_def_36,type,
set_variable_real: $tType ).
thf(type_def_37,type,
set_char_real: $tType ).
thf(type_def_38,type,
denotational_interp: $tType ).
thf(type_def_39,type,
variable: $tType ).
thf(type_def_40,type,
char: $tType ).
thf(type_def_41,type,
real: $tType ).
thf(type_def_42,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr1652860930e_real: set_char_real_o > ( ( char > real > $o ) > char > set_variable_real > set_variable_real ) > set_Pr268868489e_real ).
thf(func_def_1,type,
bNF_Gr574714974e_real: set_char_real_real > ( ( char > real > real ) > produc104944723e_real ) > set_Pr307567739e_real ).
thf(func_def_2,type,
bNF_Gr2096011355e_real: set_char_real > ( ( char > real ) > produc1020032539e_real ) > set_Pr397354154e_real ).
thf(func_def_3,type,
denotational_Consts: denotational_interp > char > real ).
thf(func_def_4,type,
denotational_Funcs: denotational_interp > char > real > real ).
thf(func_def_5,type,
denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).
thf(func_def_6,type,
denotational_Preds: denotational_interp > char > real > $o ).
thf(func_def_7,type,
denota1150374853interp: produc1993135732e_real > denotational_interp ).
thf(func_def_8,type,
denotational_worlds: set_variable_real ).
thf(func_def_9,type,
the_Pr1811203438real_o: ( produc2070499431real_o > $o ) > produc2070499431real_o ).
thf(func_def_10,type,
the_Pr429269900e_real: ( produc104944723e_real > $o ) > produc104944723e_real ).
thf(func_def_11,type,
the_Pr1196831286l_real: ( produc96687023l_real > $o ) > produc96687023l_real ).
thf(func_def_12,type,
the_Pr1679925410e_real: ( produc1020032539e_real > $o ) > produc1020032539e_real ).
thf(func_def_13,type,
the_Pr1930357084real_o: ( produc1606031907real_o > $o ) > produc1606031907real_o ).
thf(func_def_14,type,
the_Pr198758430e_real: ( produc1120170903e_real > $o ) > produc1120170903e_real ).
thf(func_def_15,type,
the_Pr1076580896r_real: ( produc928489369r_real > $o ) > produc928489369r_real ).
thf(func_def_16,type,
the_Pr543709229e_real: ( produc1993135732e_real > $o ) > produc1993135732e_real ).
thf(func_def_17,type,
if_real: $o > real > real > real ).
thf(func_def_18,type,
bot_bo721182586e_real: set_variable_real ).
thf(func_def_19,type,
ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).
thf(func_def_20,type,
ord_le2056633321e_real: set_Pr268868489e_real > set_Pr268868489e_real > $o ).
thf(func_def_21,type,
ord_le780198939e_real: set_Pr307567739e_real > set_Pr307567739e_real > $o ).
thf(func_def_22,type,
ord_le1631106314e_real: set_Pr397354154e_real > set_Pr397354154e_real > $o ).
thf(func_def_23,type,
order_1507925822e_real: ( set_variable_real > set_variable_real ) > $o ).
thf(func_def_24,type,
top_to239690646e_real: set_variable_real ).
thf(func_def_25,type,
produc1566957527real_o: ( char > real > $o ) > ( char > real > $o ) > produc2070499431real_o ).
thf(func_def_26,type,
produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).
thf(func_def_27,type,
produc686464615l_real: ( char > real > real ) > ( char > real > real ) > produc96687023l_real ).
thf(func_def_28,type,
produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).
thf(func_def_29,type,
produc1285468373real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc1606031907real_o ).
thf(func_def_30,type,
produc525232719e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > produc1120170903e_real ).
thf(func_def_31,type,
produc700235985r_real: ( char > real ) > ( char > real ) > produc928489369r_real ).
thf(func_def_32,type,
produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).
thf(func_def_33,type,
produc1053845203l_real: produc104944723e_real > ( char > real > real ) > produc729247771l_real ).
thf(func_def_34,type,
produc1957227327e_real: produc104944723e_real > produc104944723e_real > produc1416364679e_real ).
thf(func_def_35,type,
produc1317530464r_real: produc1020032539e_real > ( char > real ) > produc2139219430r_real ).
thf(func_def_36,type,
produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real ).
thf(func_def_37,type,
produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real ).
thf(func_def_38,type,
produc214490950real_o: ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
thf(func_def_39,type,
produc210225566e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_40,type,
produc1051282262l_real: ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > $o ).
thf(func_def_41,type,
produc619891650e_real: ( char > real > real ) > produc104944723e_real > ( char > real > real ) > produc104944723e_real > $o ).
thf(func_def_42,type,
produc1635740582real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
thf(func_def_43,type,
produc1689380158e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_44,type,
produc885334464r_real: ( char > real ) > ( char > real ) > ( char > real ) > ( char > real ) > $o ).
thf(func_def_45,type,
produc345845751e_real: ( char > real ) > produc1020032539e_real > ( char > real ) > produc1020032539e_real > $o ).
thf(func_def_46,type,
produc1853244124e_real: set_char_real_o > ( ( char > real > $o ) > set_ch845833233e_real ) > set_Pr268868489e_real ).
thf(func_def_47,type,
produc522711812e_real: set_char_real_real > ( ( char > real > real ) > set_Pr268868489e_real ) > set_Pr307567739e_real ).
thf(func_def_48,type,
produc1131275492real_o: set_ch845833233e_real > ( ( char > set_variable_real > set_variable_real ) > set_char_real_o ) > set_Pr366573913real_o ).
thf(func_def_49,type,
produc34356277e_real: set_char_real > ( ( char > real ) > set_Pr307567739e_real ) > set_Pr397354154e_real ).
thf(func_def_50,type,
produc979346218e_real: set_variable_real > ( ( variable > real ) > set_variable_real ) > set_Pr1530225953e_real ).
thf(func_def_51,type,
produc1435543300l_real: set_Pr268868489e_real > ( produc104944723e_real > set_char_real_real ) > set_Pr1730352763l_real ).
thf(func_def_52,type,
produc1373880559r_real: set_Pr307567739e_real > ( produc1020032539e_real > set_char_real ) > set_Pr821009180r_real ).
thf(func_def_53,type,
produc169502925al_o_o: ( produc2070499431real_o > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
thf(func_def_54,type,
produc809977789real_o: ( produc104944723e_real > $o ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_55,type,
produc311008957real_o: ( produc96687023l_real > $o ) > ( char > real > real ) > ( char > real > real ) > $o ).
thf(func_def_56,type,
produc753879889real_o: ( produc1020032539e_real > $o ) > ( char > real > real ) > produc104944723e_real > $o ).
thf(func_def_57,type,
produc647541685al_o_o: ( produc1606031907real_o > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
thf(func_def_58,type,
produc1935758037real_o: ( produc1120170903e_real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_59,type,
produc1735668179real_o: ( produc928489369r_real > $o ) > ( char > real ) > ( char > real ) > $o ).
thf(func_def_60,type,
produc998184740real_o: ( produc1993135732e_real > $o ) > ( char > real ) > produc1020032539e_real > $o ).
thf(func_def_61,type,
produc1070892532real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
thf(func_def_62,type,
produc584529143e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_63,type,
produc677394266real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
thf(func_def_64,type,
produc1138486237e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_65,type,
produc1941565183e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
thf(func_def_66,type,
produc355430254e_real: ( ( char > real > $o ) > char > real > $o ) > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_67,type,
produc753666538e_real: ( ( char > real > $o ) > char > real > real ) > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc1020032539e_real ).
thf(func_def_68,type,
produc1251731407e_real: ( ( char > real > $o ) > char > real ) > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > produc104944723e_real > produc1993135732e_real ).
thf(func_def_69,type,
produc683016410e_real: ( ( char > real > real ) > char > real > $o ) > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > produc1020032539e_real > produc104944723e_real ).
thf(func_def_70,type,
produc2131385966e_real: ( ( char > real > real ) > char > real > real ) > ( produc104944723e_real > produc104944723e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_71,type,
produc348783435e_real: ( ( char > real > real ) > char > real ) > ( produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1993135732e_real ).
thf(func_def_72,type,
produc1797673857e_real: ( ( char > real ) > char > real > $o ) > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > produc1993135732e_real > produc104944723e_real ).
thf(func_def_73,type,
produc202772275e_real: ( ( char > real ) > char > real > real ) > ( produc1020032539e_real > produc104944723e_real ) > produc1993135732e_real > produc1020032539e_real ).
thf(func_def_74,type,
produc552964208e_real: ( ( char > real ) > char > real ) > ( produc1020032539e_real > produc1020032539e_real ) > produc1993135732e_real > produc1993135732e_real ).
thf(func_def_75,type,
produc2033648741real_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o ).
thf(func_def_76,type,
produc540070591e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real ).
thf(func_def_77,type,
produc606131701l_real: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real ).
thf(func_def_78,type,
produc877953633e_real: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real ).
thf(func_def_79,type,
produc1965585607real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o ).
thf(func_def_80,type,
produc1545903581e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real ).
thf(func_def_81,type,
produc1022533727r_real: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real ).
thf(func_def_82,type,
produc1448824728e_real: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real ).
thf(func_def_83,type,
produc131289260al_o_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > $o ).
thf(func_def_84,type,
produc1629511198real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
thf(func_def_85,type,
produc1906464077e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_86,type,
produc1095814172real_o: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > $o ).
thf(func_def_87,type,
produc679978160real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
thf(func_def_88,type,
produc1202665267e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_89,type,
produc1467075094al_o_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > $o ).
thf(func_def_90,type,
produc1116016469e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
thf(func_def_91,type,
produc143994420real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > $o ).
thf(func_def_92,type,
produc1655853874real_o: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > $o ).
thf(func_def_93,type,
produc569598981real_o: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > $o ).
thf(func_def_94,type,
produc315720647e_real: ( ( char > real ) > produc1020032539e_real > produc1993135732e_real ) > produc1993135732e_real > produc1993135732e_real ).
thf(func_def_95,type,
produc1299805450real_o: ( ( variable > real ) > ( variable > real ) > $o ) > produc1863992257e_real > $o ).
thf(func_def_96,type,
produc421130416real_o: ( produc104944723e_real > ( char > real > real ) > $o ) > produc729247771l_real > $o ).
thf(func_def_97,type,
produc991789875e_real: ( produc104944723e_real > ( char > real > real ) > produc1020032539e_real ) > produc729247771l_real > produc1020032539e_real ).
thf(func_def_98,type,
produc864726913e_real: ( produc1020032539e_real > ( char > real ) > produc1993135732e_real ) > produc2139219430r_real > produc1993135732e_real ).
thf(func_def_99,type,
produc1486464481e_real: produc104944723e_real > char > real > $o ).
thf(func_def_100,type,
produc634910399e_real: produc1020032539e_real > char > real > real ).
thf(func_def_101,type,
produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real ).
thf(func_def_102,type,
produc1146879930e_real: produc1993135732e_real > char > real ).
thf(func_def_103,type,
produc1547741887l_real: produc729247771l_real > produc104944723e_real ).
thf(func_def_104,type,
produc338920564r_real: produc2139219430r_real > produc1020032539e_real ).
thf(func_def_105,type,
produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_106,type,
produc1179001601e_real: produc1020032539e_real > produc104944723e_real ).
thf(func_def_107,type,
produc1930427431real_o: produc1606031907real_o > char > real > $o ).
thf(func_def_108,type,
produc1176159992e_real: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_109,type,
produc2091833089l_real: produc729247771l_real > char > real > real ).
thf(func_def_110,type,
produc368200626r_real: produc2139219430r_real > char > real ).
thf(func_def_111,type,
produc443915639real_o: produc2070499431real_o > produc2070499431real_o ).
thf(func_def_112,type,
produc914893101e_real: produc104944723e_real > produc1606031907real_o ).
thf(func_def_113,type,
produc995978247l_real: produc96687023l_real > produc96687023l_real ).
thf(func_def_114,type,
produc865271923e_real: produc1020032539e_real > produc729247771l_real ).
thf(func_def_115,type,
produc192924469real_o: produc1606031907real_o > produc104944723e_real ).
thf(func_def_116,type,
produc1656125423e_real: produc1120170903e_real > produc1120170903e_real ).
thf(func_def_117,type,
produc1564675697r_real: produc928489369r_real > produc928489369r_real ).
thf(func_def_118,type,
produc1726279942e_real: produc1993135732e_real > produc2139219430r_real ).
thf(func_def_119,type,
produc1778103411l_real: produc729247771l_real > produc1020032539e_real ).
thf(func_def_120,type,
produc918320576r_real: produc2139219430r_real > produc1993135732e_real ).
thf(func_def_121,type,
inv_im1954866834real_o: set_Pr1053253703real_o > ( ( char > real > $o ) > char > real > $o ) > set_Pr1053253703real_o ).
thf(func_def_122,type,
inv_im576609886l_real: set_Pr1053253703real_o > ( ( char > real > real ) > char > real > $o ) > set_Pr1919093775l_real ).
thf(func_def_123,type,
inv_im255337747r_real: set_Pr1053253703real_o > ( ( char > real ) > char > real > $o ) > set_Pr42335993r_real ).
thf(func_def_124,type,
inv_im1748900174real_o: set_Pr1919093775l_real > ( ( char > real > $o ) > char > real > real ) > set_Pr1053253703real_o ).
thf(func_def_125,type,
inv_im2119069858l_real: set_Pr1919093775l_real > ( ( char > real > real ) > char > real > real ) > set_Pr1919093775l_real ).
thf(func_def_126,type,
inv_im854642519r_real: set_Pr1919093775l_real > ( ( char > real ) > char > real > real ) > set_Pr42335993r_real ).
thf(func_def_127,type,
inv_im710342731r_real: set_Pr1588228599e_real > ( ( char > real ) > char > set_variable_real > set_variable_real ) > set_Pr42335993r_real ).
thf(func_def_128,type,
inv_im331529689real_o: set_Pr42335993r_real > ( ( char > real > $o ) > char > real ) > set_Pr1053253703real_o ).
thf(func_def_129,type,
inv_im96827991l_real: set_Pr42335993r_real > ( ( char > real > real ) > char > real ) > set_Pr1919093775l_real ).
thf(func_def_130,type,
inv_im817616652r_real: set_Pr42335993r_real > ( ( char > real ) > char > real ) > set_Pr42335993r_real ).
thf(func_def_131,type,
collect_char_real_o: ( ( char > real > $o ) > $o ) > set_char_real_o ).
thf(func_def_132,type,
collec1429138108l_real: ( ( char > real > real ) > $o ) > set_char_real_real ).
thf(func_def_133,type,
collec425771440e_real: ( ( char > set_variable_real > set_variable_real ) > $o ) > set_ch845833233e_real ).
thf(func_def_134,type,
collect_char_real: ( ( char > real ) > $o ) > set_char_real ).
thf(func_def_135,type,
collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).
thf(func_def_136,type,
collec1042577836e_real: ( produc1863992257e_real > $o ) > set_Pr1530225953e_real ).
thf(func_def_137,type,
image_1599134823e_real: ( ( variable > real ) > variable > real ) > set_variable_real > set_variable_real ).
thf(func_def_138,type,
image_448624581real_o: ( produc2070499431real_o > produc2070499431real_o ) > set_Pr1053253703real_o > set_Pr1053253703real_o ).
thf(func_def_139,type,
image_670686893e_real: ( produc104944723e_real > produc104944723e_real ) > set_Pr268868489e_real > set_Pr268868489e_real ).
thf(func_def_140,type,
image_1739334977e_real: ( produc104944723e_real > produc1020032539e_real ) > set_Pr268868489e_real > set_Pr307567739e_real ).
thf(func_def_141,type,
image_24290429real_o: ( produc104944723e_real > produc1606031907real_o ) > set_Pr268868489e_real > set_Pr366573913real_o ).
thf(func_def_142,type,
image_300296654e_real: ( produc104944723e_real > produc1993135732e_real ) > set_Pr268868489e_real > set_Pr397354154e_real ).
thf(func_def_143,type,
image_1347499973l_real: ( produc96687023l_real > produc96687023l_real ) > set_Pr1919093775l_real > set_Pr1919093775l_real ).
thf(func_def_144,type,
image_450993193e_real: ( produc1020032539e_real > produc104944723e_real ) > set_Pr307567739e_real > set_Pr268868489e_real ).
thf(func_def_145,type,
image_1823533253e_real: ( produc1020032539e_real > produc1020032539e_real ) > set_Pr307567739e_real > set_Pr307567739e_real ).
thf(func_def_146,type,
image_1698073930e_real: ( produc1020032539e_real > produc1993135732e_real ) > set_Pr307567739e_real > set_Pr397354154e_real ).
thf(func_def_147,type,
image_1532748485l_real: ( produc1020032539e_real > produc729247771l_real ) > set_Pr307567739e_real > set_Pr1730352763l_real ).
thf(func_def_148,type,
image_2028344445e_real: ( produc1606031907real_o > produc104944723e_real ) > set_Pr366573913real_o > set_Pr268868489e_real ).
thf(func_def_149,type,
image_1495813573e_real: ( produc1120170903e_real > produc1120170903e_real ) > set_Pr1588228599e_real > set_Pr1588228599e_real ).
thf(func_def_150,type,
image_1523756869r_real: ( produc928489369r_real > produc928489369r_real ) > set_Pr42335993r_real > set_Pr42335993r_real ).
thf(func_def_151,type,
image_426244814e_real: ( produc1993135732e_real > produc104944723e_real ) > set_Pr397354154e_real > set_Pr268868489e_real ).
thf(func_def_152,type,
image_479987936e_real: ( produc1993135732e_real > produc1020032539e_real ) > set_Pr397354154e_real > set_Pr307567739e_real ).
thf(func_def_153,type,
image_866442351e_real: ( produc1993135732e_real > produc1993135732e_real ) > set_Pr397354154e_real > set_Pr397354154e_real ).
thf(func_def_154,type,
image_1012526049r_real: ( produc1993135732e_real > produc2139219430r_real ) > set_Pr397354154e_real > set_Pr821009180r_real ).
thf(func_def_155,type,
image_711552709e_real: ( produc729247771l_real > produc1020032539e_real ) > set_Pr1730352763l_real > set_Pr307567739e_real ).
thf(func_def_156,type,
image_152725217e_real: ( produc2139219430r_real > produc1993135732e_real ) > set_Pr821009180r_real > set_Pr397354154e_real ).
thf(func_def_157,type,
uSubst1505767257e_repc: denotational_interp > char > real > denotational_interp ).
thf(func_def_158,type,
lex_pr2056840373e_real: set_Pr1053253703real_o > set_Pr1588228599e_real > set_Pr521705191e_real ).
thf(func_def_159,type,
lex_pr592421611e_real: set_Pr1919093775l_real > set_Pr521705191e_real > set_Pr1517071815e_real ).
thf(func_def_160,type,
lex_pr1793499278e_real: set_Pr42335993r_real > set_Pr1517071815e_real > set_Pr605909289e_real ).
thf(func_def_161,type,
same_f1185518776e_real: ( ( char > real > $o ) > $o ) > ( ( char > real > $o ) > set_Pr1588228599e_real ) > set_Pr521705191e_real ).
thf(func_def_162,type,
same_f1243548200e_real: ( ( char > real > real ) > $o ) > ( ( char > real > real ) > set_Pr521705191e_real ) > set_Pr1517071815e_real ).
thf(func_def_163,type,
same_f764716049e_real: ( ( char > real ) > $o ) > ( ( char > real ) > set_Pr1517071815e_real ) > set_Pr605909289e_real ).
thf(func_def_164,type,
member_char_real_o: ( char > real > $o ) > set_char_real_o > $o ).
thf(func_def_165,type,
member312374654l_real: ( char > real > real ) > set_char_real_real > $o ).
thf(func_def_166,type,
member2042895986e_real: ( char > set_variable_real > set_variable_real ) > set_ch845833233e_real > $o ).
thf(func_def_167,type,
member_char_real: ( char > real ) > set_char_real > $o ).
thf(func_def_168,type,
member_variable_real: ( variable > real ) > set_variable_real > $o ).
thf(func_def_169,type,
member1795186320real_o: produc2070499431real_o > set_Pr1053253703real_o > $o ).
thf(func_def_170,type,
member1871517162e_real: produc104944723e_real > set_Pr268868489e_real > $o ).
thf(func_def_171,type,
member1801875544l_real: produc96687023l_real > set_Pr1919093775l_real > $o ).
thf(func_def_172,type,
member544802500e_real: produc1020032539e_real > set_Pr307567739e_real > $o ).
thf(func_def_173,type,
member1225120698real_o: produc1606031907real_o > set_Pr366573913real_o > $o ).
thf(func_def_174,type,
member625963584e_real: produc1120170903e_real > set_Pr1588228599e_real > $o ).
thf(func_def_175,type,
member1086859330r_real: produc928489369r_real > set_Pr42335993r_real > $o ).
thf(func_def_176,type,
member1491807627e_real: produc1993135732e_real > set_Pr397354154e_real > $o ).
thf(func_def_177,type,
member561592938e_real: produc1863992257e_real > set_Pr1530225953e_real > $o ).
thf(func_def_178,type,
member254017732l_real: produc729247771l_real > set_Pr1730352763l_real > $o ).
thf(func_def_179,type,
member2016544560e_real: produc1416364679e_real > set_Pr521705191e_real > $o ).
thf(func_def_180,type,
member1637891325r_real: produc2139219430r_real > set_Pr821009180r_real > $o ).
thf(func_def_181,type,
member1778419728e_real: produc199503591e_real > set_Pr1517071815e_real > $o ).
thf(func_def_182,type,
member1966130802e_real: produc1014656201e_real > set_Pr605909289e_real > $o ).
thf(func_def_183,type,
i: denotational_interp ).
thf(func_def_184,type,
d: real ).
thf(func_def_185,type,
f: char ).
thf(func_def_189,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_190,type,
vAND: $o > $o > $o ).
thf(func_def_191,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_192,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_193,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_194,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_195,type,
vIMP: $o > $o > $o ).
thf(func_def_196,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_197,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_198,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_199,type,
vOR: $o > $o > $o ).
thf(func_def_200,type,
vNOT: $o > $o ).
thf(func_def_201,type,
sK0: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_202,type,
sK1: ( produc1993135732e_real > $o ) > produc1020032539e_real ).
thf(func_def_203,type,
sK2: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_204,type,
sK3: produc104944723e_real > char > real > $o ).
thf(func_def_205,type,
sK4: produc1993135732e_real > char > real ).
thf(func_def_206,type,
sK5: produc1993135732e_real > char > real > real ).
thf(func_def_207,type,
sK6: produc1993135732e_real > char > real > $o ).
thf(func_def_208,type,
sK7: produc1993135732e_real > char > set_variable_real > set_variable_real ).
thf(func_def_209,type,
sK8: ( produc104944723e_real > $o ) > char > real > $o ).
thf(func_def_210,type,
sK9: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_211,type,
sK10: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_212,type,
sK11: ( produc1020032539e_real > $o ) > char > real > $o ).
thf(func_def_213,type,
sK12: ( produc1020032539e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_214,type,
sK13: ( produc1020032539e_real > $o ) > produc104944723e_real ).
thf(func_def_215,type,
sK14: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_216,type,
sK15: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_217,type,
sK16: ( produc1020032539e_real > $o ) > produc104944723e_real ).
thf(func_def_218,type,
sK17: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_219,type,
sK18: produc104944723e_real > char > real > $o ).
thf(func_def_220,type,
sK19: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_221,type,
sK20: ( produc104944723e_real > $o ) > char > real > $o ).
thf(func_def_222,type,
sK21: produc1993135732e_real > char > real ).
thf(func_def_223,type,
sK22: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_224,type,
sK23: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_225,type,
sK24: ( produc1993135732e_real > $o ) > char > real > real ).
thf(func_def_226,type,
sK25: ( produc1993135732e_real > $o ) > produc104944723e_real ).
thf(func_def_227,type,
sK26: produc1993135732e_real > char > real ).
thf(func_def_228,type,
sK27: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_229,type,
sK28: ( produc1993135732e_real > $o ) > char > real > real ).
thf(func_def_230,type,
sK29: ( produc1993135732e_real > $o ) > char > real > $o ).
thf(func_def_231,type,
sK30: ( produc1993135732e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_232,type,
sK31: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_233,type,
sK32: ( char > set_variable_real > set_variable_real ) > char ).
thf(func_def_234,type,
sK33: produc1020032539e_real > char > real > $o ).
thf(func_def_235,type,
sK34: produc1020032539e_real > char > set_variable_real > set_variable_real ).
thf(func_def_236,type,
sK35: produc1020032539e_real > char > real > real ).
thf(func_def_237,type,
sK36: produc1993135732e_real > char > real ).
thf(func_def_238,type,
sK37: produc1993135732e_real > produc104944723e_real ).
thf(func_def_239,type,
sK38: produc1993135732e_real > char > real > real ).
thf(func_def_240,type,
sK39: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_241,type,
sK40: ( produc1993135732e_real > $o ) > produc1020032539e_real ).
thf(func_def_242,type,
sK41: produc1020032539e_real > char > real > real ).
thf(func_def_243,type,
sK42: produc1020032539e_real > produc104944723e_real ).
thf(func_def_244,type,
sK43: produc1020032539e_real > char > real > real ).
thf(func_def_245,type,
sK44: produc1020032539e_real > produc104944723e_real ).
thf(f1,axiom,
! [X0: char > real,X2: char > real > $o,X3: char > set_variable_real > set_variable_real,X1: char > real > real] :
( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X0 @ ( produc141013715e_real @ X1 @ ( produc2007437005e_real @ X2 @ X3 ) ) ) ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Preds__mkinterp) ).
thf(f358,conjecture,
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X0: char] : ( if_real @ ( X0 = f ) @ d @ ( denotational_Consts @ i @ X0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
= ( denotational_Preds @ i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f359,negated_conjecture,
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X0: char] : ( if_real @ ( X0 = f ) @ d @ ( denotational_Consts @ i @ X0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
!= ( denotational_Preds @ i ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f681,plain,
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X0: char] : ( if_real @ ( X0 = f ) @ d @ ( denotational_Consts @ i @ X0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
!= ( denotational_Preds @ i ) ),
inference(rectify,[],[f359]) ).
thf(f682,plain,
( ( denotational_Preds @ i )
!= ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
inference(fool_elimination,[],[f681]) ).
thf(f796,plain,
( ( denotational_Preds @ i )
!= ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
inference(flattening,[],[f682]) ).
thf(f801,plain,
! [X2: char > set_variable_real > set_variable_real,X3: char > real > real,X0: char > real,X1: char > real > $o] :
( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X0 @ ( produc141013715e_real @ X3 @ ( produc2007437005e_real @ X1 @ X2 ) ) ) ) )
= X1 ),
inference(rectify,[],[f1]) ).
thf(f863,plain,
! [X0: char > set_variable_real > set_variable_real,X1: char > real > real,X2: char > real,X3: char > real > $o] :
( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X1 @ ( produc2007437005e_real @ X3 @ X0 ) ) ) ) )
= X3 ),
inference(rectify,[],[f801]) ).
thf(f894,plain,
( ( denotational_Preds @ i )
!= ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f796]) ).
thf(f909,plain,
! [X2: char > real,X3: char > real > $o,X0: char > set_variable_real > set_variable_real,X1: char > real > real] :
( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X1 @ ( produc2007437005e_real @ X3 @ X0 ) ) ) ) )
= X3 ),
inference(cnf_transformation,[],[f863]) ).
thf(f934,plain,
$false,
inference(forward_subsumption_resolution,[],[f894,f909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP198^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:06:08 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.46 % (830814)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.46 % (830820)lrs+10_16_si=on:nwc=1.5:random_seed=1666392363:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.46 % (830825)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.46 % (830825)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.46 % (830820)Instruction limit reached!
% 0.78/0.46 % (830820)------------------------------
% 0.78/0.46 % (830820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830820)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830820)Termination reason: Instruction limit
% 0.78/0.46 % (830820)Termination phase: shuffling
% 0.78/0.46 % (830820)Time elapsed: 0.005 s
% 0.78/0.46 % (830820)Peak memory usage: 10 MB
% 0.78/0.46 % (830820)Instructions burned: 20 (million)
% 0.78/0.46 % (830819)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2237245450:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.46 % (830822)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3222401902:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.78/0.46 % (830821)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=967701132:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.46 % (830823)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2616388635:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.46 % (830824)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2720391540:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.46 % (830825)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3760537557:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.46 % (830821)Instruction limit reached!
% 0.78/0.46 % (830821)------------------------------
% 0.78/0.46 % (830821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830821)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830821)Termination reason: Instruction limit
% 0.78/0.46 % (830821)Termination phase: shuffling
% 0.78/0.46 % (830821)Time elapsed: 0.002 s
% 0.78/0.46 % (830821)Peak memory usage: 10 MB
% 0.78/0.46 % (830821)Instructions burned: 3 (million)
% 0.78/0.46 % (830827)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3260262183:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.46 % (830827)Instruction limit reached!
% 0.78/0.46 % (830827)------------------------------
% 0.78/0.46 % (830827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830827)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830827)Termination reason: Instruction limit
% 0.78/0.46 % (830827)Termination phase: shuffling
% 0.78/0.46 % (830827)Time elapsed: 0.001 s
% 0.78/0.46 % (830827)Peak memory usage: 10 MB
% 0.78/0.46 % (830827)Instructions burned: 3 (million)
% 0.78/0.46 % (830823)Instruction limit reached!
% 0.78/0.46 % (830823)------------------------------
% 0.78/0.46 % (830823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830823)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830823)Termination reason: Instruction limit
% 0.78/0.46 % (830823)Termination phase: shuffling
% 0.78/0.46 % (830823)Time elapsed: 0.011 s
% 0.78/0.46 % (830823)Peak memory usage: 10 MB
% 0.78/0.46 % (830823)Instructions burned: 25 (million)
% 0.78/0.46 % (830836)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.46 % (830836)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1383404702:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.46 % (830834)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1981813250:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.46 % (830836)Instruction limit reached!
% 0.78/0.46 % (830836)------------------------------
% 0.78/0.46 % (830836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830836)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830836)Termination reason: Instruction limit
% 0.78/0.46 % (830836)Termination phase: shuffling
% 0.78/0.46 % (830836)Time elapsed: 0.002 s
% 0.78/0.46 % (830836)Peak memory usage: 10 MB
% 0.78/0.46 % (830836)Instructions burned: 8 (million)
% 0.78/0.46 % (830834)Instruction limit reached!
% 0.78/0.46 % (830834)------------------------------
% 0.78/0.46 % (830834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830834)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830834)Termination reason: Instruction limit
% 0.78/0.46 % (830834)Termination phase: shuffling
% 0.78/0.46 % (830834)Time elapsed: 0.003 s
% 0.78/0.46 % (830834)Peak memory usage: 10 MB
% 0.78/0.46 % (830834)Instructions burned: 5 (million)
% 0.78/0.46 % (830840)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.46 % (830840)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.46 % (830837)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2805834988:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.46 % (830840)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1200963604:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.46 % (830824)Instruction limit reached!
% 0.78/0.46 % (830824)------------------------------
% 0.78/0.46 % (830824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830824)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830824)Termination reason: Instruction limit
% 0.78/0.46 % (830824)Termination phase: Property scanning
% 0.78/0.46 % (830824)Time elapsed: 0.036 s
% 0.78/0.46 % (830824)Peak memory usage: 12 MB
% 0.78/0.46 % (830824)Instructions burned: 75 (million)
% 0.78/0.46 % (830837)Instruction limit reached!
% 0.78/0.46 % (830837)------------------------------
% 0.78/0.46 % (830837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830837)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830837)Termination reason: Instruction limit
% 0.78/0.46 % (830837)Termination phase: shuffling
% 0.78/0.46 % (830837)Time elapsed: 0.006 s
% 0.78/0.46 % (830837)Peak memory usage: 10 MB
% 0.78/0.46 % (830837)Instructions burned: 13 (million)
% 0.78/0.46 % (830819)Instruction limit reached!
% 0.78/0.46 % (830819)------------------------------
% 0.78/0.46 % (830819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830819)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830819)Termination reason: Instruction limit
% 0.78/0.46 % (830819)Termination phase: Function definition elimination
% 0.78/0.46 % (830819)Time elapsed: 0.041 s
% 0.78/0.46 % (830819)Peak memory usage: 12 MB
% 0.78/0.46 % (830819)Instructions burned: 88 (million)
% 0.78/0.46 % (830840)Instruction limit reached!
% 0.78/0.46 % (830840)------------------------------
% 0.78/0.46 % (830840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830840)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830840)Termination reason: Instruction limit
% 0.78/0.46 % (830840)Termination phase: shuffling
% 0.78/0.46 % (830840)Time elapsed: 0.007 s
% 0.78/0.46 % (830840)Peak memory usage: 11 MB
% 0.78/0.46 % (830840)Instructions burned: 30 (million)
% 0.78/0.46 % (830841)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=239261294:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.46 % (830847)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3762551495:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.78/0.46 % (830845)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.46 % (830844)lrs+10_1_si=on:cs=on:random_seed=243086755:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.46 % (830845)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2611629725:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.46 % (830846)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1546000455:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.78/0.46 % (830845)Instruction limit reached!
% 0.78/0.46 % (830845)------------------------------
% 0.78/0.46 % (830845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830845)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830845)Termination reason: Instruction limit
% 0.78/0.46 % (830845)Termination phase: shuffling
% 0.78/0.46 % (830845)Time elapsed: 0.003 s
% 0.78/0.46 % (830845)Peak memory usage: 10 MB
% 0.78/0.46 % (830845)Instructions burned: 5 (million)
% 0.78/0.46 % (830844)Instruction limit reached!
% 0.78/0.46 % (830844)------------------------------
% 0.78/0.46 % (830844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830844)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830844)Termination reason: Instruction limit
% 0.78/0.46 % (830844)Termination phase: shuffling
% 0.78/0.46 % (830844)Time elapsed: 0.004 s
% 0.78/0.46 % (830844)Peak memory usage: 10 MB
% 0.78/0.46 % (830844)Instructions burned: 9 (million)
% 0.78/0.46 % (830847) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-830814-830847"...
% 0.78/0.46 % (830825)Instruction limit reached!
% 0.78/0.46 % (830825)------------------------------
% 0.78/0.46 % (830825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830825)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830825)Termination reason: Instruction limit
% 0.78/0.46 % (830825)Termination phase: Saturation
% 0.78/0.46 % (830825)Time elapsed: 0.069 s
% 0.78/0.46 % (830825)Peak memory usage: 13 MB
% 0.78/0.46 % (830825)Instructions burned: 157 (million)
% 0.78/0.46 % (830847)...printing done.
% 0.78/0.46 % (830847)Refutation found. Thanks to Tanya!
% 0.78/0.46 % SZS status Theorem for theBenchmark
% 0.78/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.46 % (830847)------------------------------
% 0.78/0.46 % (830847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (830847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (830847)CaDiCaL version: 2.1.3
% 0.78/0.46 % (830847)Termination reason: Refutation
% 0.78/0.46 % (830847)Time elapsed: 0.018 s
% 0.78/0.46 % (830847)Peak memory usage: 13 MB
% 0.78/0.46 % (830847)Instructions burned: 68 (million)
% 0.78/0.46 % (830814)Success in time 0.135 s
% 0.78/0.46 % Vampire exiting
%------------------------------------------------------------------------------