TSTP Solution File: ITP198^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP198^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 22:56:06 EDT 2024
% Result : Theorem 2.06s 0.75s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 427
% Syntax : Number of formulae : 445 ( 12 unt; 424 typ; 0 def)
% Number of atoms : 403 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 19 avg)
% Number of connectives : 22 ( 9 ~; 7 |; 6 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 38 ( 37 usr)
% Number of type conns : 1654 (1653 >; 1 *; 0 +; 0 <<)
% Number of symbols : 355 ( 352 usr; 8 con; 0-6 aty)
% Number of variables : 48 ( 3 ^ 30 !; 0 ?; 48 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_char_real_o: $tType ).
thf(type_def_6,type,
char: $tType ).
thf(type_def_7,type,
real: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_9,type,
set_variable_real: $tType ).
thf(type_def_10,type,
set_Pr268868489e_real: $tType ).
thf(type_def_11,type,
set_char_real_real: $tType ).
thf(type_def_12,type,
produc104944723e_real: $tType ).
thf(type_def_13,type,
set_Pr307567739e_real: $tType ).
thf(type_def_14,type,
set_char_real: $tType ).
thf(type_def_15,type,
produc1020032539e_real: $tType ).
thf(type_def_16,type,
set_Pr397354154e_real: $tType ).
thf(type_def_17,type,
denotational_interp: $tType ).
thf(type_def_18,type,
produc1993135732e_real: $tType ).
thf(type_def_19,type,
produc2070499431real_o: $tType ).
thf(type_def_20,type,
produc96687023l_real: $tType ).
thf(type_def_21,type,
produc1606031907real_o: $tType ).
thf(type_def_22,type,
produc1120170903e_real: $tType ).
thf(type_def_23,type,
produc928489369r_real: $tType ).
thf(type_def_24,type,
produc729247771l_real: $tType ).
thf(type_def_25,type,
produc1416364679e_real: $tType ).
thf(type_def_26,type,
produc2139219430r_real: $tType ).
thf(type_def_27,type,
produc199503591e_real: $tType ).
thf(type_def_28,type,
produc1014656201e_real: $tType ).
thf(type_def_29,type,
set_ch845833233e_real: $tType ).
thf(type_def_30,type,
set_Pr366573913real_o: $tType ).
thf(type_def_31,type,
variable: $tType ).
thf(type_def_32,type,
set_Pr1530225953e_real: $tType ).
thf(type_def_33,type,
set_Pr1730352763l_real: $tType ).
thf(type_def_34,type,
set_Pr821009180r_real: $tType ).
thf(type_def_35,type,
produc1863992257e_real: $tType ).
thf(type_def_36,type,
set_Pr1053253703real_o: $tType ).
thf(type_def_37,type,
set_Pr1919093775l_real: $tType ).
thf(type_def_38,type,
set_Pr42335993r_real: $tType ).
thf(type_def_39,type,
set_Pr1588228599e_real: $tType ).
thf(type_def_40,type,
set_Pr521705191e_real: $tType ).
thf(type_def_41,type,
set_Pr1517071815e_real: $tType ).
thf(type_def_42,type,
set_Pr605909289e_real: $tType ).
thf(func_def_0,type,
set_Pr605909289e_real: $tType ).
thf(func_def_1,type,
produc1014656201e_real: $tType ).
thf(func_def_2,type,
set_Pr1517071815e_real: $tType ).
thf(func_def_3,type,
produc199503591e_real: $tType ).
thf(func_def_4,type,
set_Pr521705191e_real: $tType ).
thf(func_def_5,type,
produc1416364679e_real: $tType ).
thf(func_def_6,type,
set_Pr821009180r_real: $tType ).
thf(func_def_7,type,
set_Pr397354154e_real: $tType ).
thf(func_def_8,type,
produc2139219430r_real: $tType ).
thf(func_def_9,type,
produc1993135732e_real: $tType ).
thf(func_def_10,type,
set_Pr1588228599e_real: $tType ).
thf(func_def_11,type,
set_Pr1730352763l_real: $tType ).
thf(func_def_12,type,
set_Pr307567739e_real: $tType ).
thf(func_def_13,type,
produc1120170903e_real: $tType ).
thf(func_def_14,type,
produc729247771l_real: $tType ).
thf(func_def_15,type,
produc1020032539e_real: $tType ).
thf(func_def_16,type,
set_Pr366573913real_o: $tType ).
thf(func_def_17,type,
set_Pr268868489e_real: $tType ).
thf(func_def_18,type,
produc1606031907real_o: $tType ).
thf(func_def_19,type,
produc104944723e_real: $tType ).
thf(func_def_20,type,
set_Pr1919093775l_real: $tType ).
thf(func_def_21,type,
set_ch845833233e_real: $tType ).
thf(func_def_22,type,
produc96687023l_real: $tType ).
thf(func_def_23,type,
set_Pr1053253703real_o: $tType ).
thf(func_def_24,type,
produc2070499431real_o: $tType ).
thf(func_def_25,type,
set_Pr1530225953e_real: $tType ).
thf(func_def_26,type,
set_Pr42335993r_real: $tType ).
thf(func_def_27,type,
produc1863992257e_real: $tType ).
thf(func_def_28,type,
produc928489369r_real: $tType ).
thf(func_def_29,type,
set_char_real_real: $tType ).
thf(func_def_30,type,
set_char_real_o: $tType ).
thf(func_def_31,type,
set_variable_real: $tType ).
thf(func_def_32,type,
set_char_real: $tType ).
thf(func_def_33,type,
denotational_interp: $tType ).
thf(func_def_34,type,
variable: $tType ).
thf(func_def_35,type,
char: $tType ).
thf(func_def_36,type,
real: $tType ).
thf(func_def_37,type,
bNF_Gr1652860930e_real: set_char_real_o > ( ( char > real > $o ) > char > set_variable_real > set_variable_real ) > set_Pr268868489e_real ).
thf(func_def_38,type,
bNF_Gr574714974e_real: set_char_real_real > ( ( char > real > real ) > produc104944723e_real ) > set_Pr307567739e_real ).
thf(func_def_39,type,
bNF_Gr2096011355e_real: set_char_real > ( ( char > real ) > produc1020032539e_real ) > set_Pr397354154e_real ).
thf(func_def_40,type,
denotational_Consts: denotational_interp > char > real ).
thf(func_def_41,type,
denotational_Funcs: denotational_interp > char > real > real ).
thf(func_def_42,type,
denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).
thf(func_def_43,type,
denotational_Preds: denotational_interp > char > real > $o ).
thf(func_def_44,type,
denota1150374853interp: produc1993135732e_real > denotational_interp ).
thf(func_def_45,type,
denotational_worlds: set_variable_real ).
thf(func_def_46,type,
the_Pr1811203438real_o: ( produc2070499431real_o > $o ) > produc2070499431real_o ).
thf(func_def_47,type,
the_Pr429269900e_real: ( produc104944723e_real > $o ) > produc104944723e_real ).
thf(func_def_48,type,
the_Pr1196831286l_real: ( produc96687023l_real > $o ) > produc96687023l_real ).
thf(func_def_49,type,
the_Pr1679925410e_real: ( produc1020032539e_real > $o ) > produc1020032539e_real ).
thf(func_def_50,type,
the_Pr1930357084real_o: ( produc1606031907real_o > $o ) > produc1606031907real_o ).
thf(func_def_51,type,
the_Pr198758430e_real: ( produc1120170903e_real > $o ) > produc1120170903e_real ).
thf(func_def_52,type,
the_Pr1076580896r_real: ( produc928489369r_real > $o ) > produc928489369r_real ).
thf(func_def_53,type,
the_Pr543709229e_real: ( produc1993135732e_real > $o ) > produc1993135732e_real ).
thf(func_def_54,type,
if_real: $o > real > real > real ).
thf(func_def_55,type,
bot_bo721182586e_real: set_variable_real ).
thf(func_def_56,type,
ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).
thf(func_def_57,type,
ord_le2056633321e_real: set_Pr268868489e_real > set_Pr268868489e_real > $o ).
thf(func_def_58,type,
ord_le780198939e_real: set_Pr307567739e_real > set_Pr307567739e_real > $o ).
thf(func_def_59,type,
ord_le1631106314e_real: set_Pr397354154e_real > set_Pr397354154e_real > $o ).
thf(func_def_60,type,
order_1507925822e_real: ( set_variable_real > set_variable_real ) > $o ).
thf(func_def_61,type,
top_to239690646e_real: set_variable_real ).
thf(func_def_62,type,
produc1566957527real_o: ( char > real > $o ) > ( char > real > $o ) > produc2070499431real_o ).
thf(func_def_63,type,
produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).
thf(func_def_64,type,
produc686464615l_real: ( char > real > real ) > ( char > real > real ) > produc96687023l_real ).
thf(func_def_65,type,
produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).
thf(func_def_66,type,
produc1285468373real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc1606031907real_o ).
thf(func_def_67,type,
produc525232719e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > produc1120170903e_real ).
thf(func_def_68,type,
produc700235985r_real: ( char > real ) > ( char > real ) > produc928489369r_real ).
thf(func_def_69,type,
produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).
thf(func_def_70,type,
produc1053845203l_real: produc104944723e_real > ( char > real > real ) > produc729247771l_real ).
thf(func_def_71,type,
produc1957227327e_real: produc104944723e_real > produc104944723e_real > produc1416364679e_real ).
thf(func_def_72,type,
produc1317530464r_real: produc1020032539e_real > ( char > real ) > produc2139219430r_real ).
thf(func_def_73,type,
produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real ).
thf(func_def_74,type,
produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real ).
thf(func_def_75,type,
produc214490950real_o: ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
thf(func_def_76,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_77,type,
produc1051282262l_real: ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > $o ).
thf(func_def_78,type,
produc619891650e_real: ( char > real > real ) > produc104944723e_real > ( char > real > real ) > produc104944723e_real > $o ).
thf(func_def_79,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_80,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_81,type,
produc885334464r_real: ( char > real ) > ( char > real ) > ( char > real ) > ( char > real ) > $o ).
thf(func_def_82,type,
produc345845751e_real: ( char > real ) > produc1020032539e_real > ( char > real ) > produc1020032539e_real > $o ).
thf(func_def_83,type,
produc1853244124e_real: set_char_real_o > ( ( char > real > $o ) > set_ch845833233e_real ) > set_Pr268868489e_real ).
thf(func_def_84,type,
produc522711812e_real: set_char_real_real > ( ( char > real > real ) > set_Pr268868489e_real ) > set_Pr307567739e_real ).
thf(func_def_85,type,
produc1131275492real_o: set_ch845833233e_real > ( ( char > set_variable_real > set_variable_real ) > set_char_real_o ) > set_Pr366573913real_o ).
thf(func_def_86,type,
produc34356277e_real: set_char_real > ( ( char > real ) > set_Pr307567739e_real ) > set_Pr397354154e_real ).
thf(func_def_87,type,
produc979346218e_real: set_variable_real > ( ( variable > real ) > set_variable_real ) > set_Pr1530225953e_real ).
thf(func_def_88,type,
produc1435543300l_real: set_Pr268868489e_real > ( produc104944723e_real > set_char_real_real ) > set_Pr1730352763l_real ).
thf(func_def_89,type,
produc1373880559r_real: set_Pr307567739e_real > ( produc1020032539e_real > set_char_real ) > set_Pr821009180r_real ).
thf(func_def_90,type,
produc169502925al_o_o: ( produc2070499431real_o > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
thf(func_def_91,type,
produc809977789real_o: ( produc104944723e_real > $o ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_92,type,
produc311008957real_o: ( produc96687023l_real > $o ) > ( char > real > real ) > ( char > real > real ) > $o ).
thf(func_def_93,type,
produc753879889real_o: ( produc1020032539e_real > $o ) > ( char > real > real ) > produc104944723e_real > $o ).
thf(func_def_94,type,
produc647541685al_o_o: ( produc1606031907real_o > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
thf(func_def_95,type,
produc1935758037real_o: ( produc1120170903e_real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
thf(func_def_96,type,
produc1735668179real_o: ( produc928489369r_real > $o ) > ( char > real ) > ( char > real ) > $o ).
thf(func_def_97,type,
produc998184740real_o: ( produc1993135732e_real > $o ) > ( char > real ) > produc1020032539e_real > $o ).
thf(func_def_98,type,
produc1070892532real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
thf(func_def_99,type,
produc584529143e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_100,type,
produc677394266real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
thf(func_def_101,type,
produc1138486237e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_102,type,
produc1941565183e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
thf(func_def_103,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_104,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_105,type,
produc1251731407e_real: ( ( char > real > $o ) > char > real ) > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > produc104944723e_real > produc1993135732e_real ).
thf(func_def_106,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_107,type,
produc2131385966e_real: ( ( char > real > real ) > char > real > real ) > ( produc104944723e_real > produc104944723e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_108,type,
produc348783435e_real: ( ( char > real > real ) > char > real ) > ( produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1993135732e_real ).
thf(func_def_109,type,
produc1797673857e_real: ( ( char > real ) > char > real > $o ) > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > produc1993135732e_real > produc104944723e_real ).
thf(func_def_110,type,
produc202772275e_real: ( ( char > real ) > char > real > real ) > ( produc1020032539e_real > produc104944723e_real ) > produc1993135732e_real > produc1020032539e_real ).
thf(func_def_111,type,
produc552964208e_real: ( ( char > real ) > char > real ) > ( produc1020032539e_real > produc1020032539e_real ) > produc1993135732e_real > produc1993135732e_real ).
thf(func_def_112,type,
produc2033648741real_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o ).
thf(func_def_113,type,
produc540070591e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real ).
thf(func_def_114,type,
produc606131701l_real: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real ).
thf(func_def_115,type,
produc877953633e_real: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real ).
thf(func_def_116,type,
produc1965585607real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o ).
thf(func_def_117,type,
produc1545903581e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real ).
thf(func_def_118,type,
produc1022533727r_real: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real ).
thf(func_def_119,type,
produc1448824728e_real: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real ).
thf(func_def_120,type,
produc131289260al_o_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > $o ).
thf(func_def_121,type,
produc1629511198real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
thf(func_def_122,type,
produc1906464077e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_123,type,
produc1095814172real_o: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > $o ).
thf(func_def_124,type,
produc679978160real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
thf(func_def_125,type,
produc1202665267e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_126,type,
produc1467075094al_o_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > $o ).
thf(func_def_127,type,
produc1116016469e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
thf(func_def_128,type,
produc143994420real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > $o ).
thf(func_def_129,type,
produc1655853874real_o: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > $o ).
thf(func_def_130,type,
produc569598981real_o: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > $o ).
thf(func_def_131,type,
produc315720647e_real: ( ( char > real ) > produc1020032539e_real > produc1993135732e_real ) > produc1993135732e_real > produc1993135732e_real ).
thf(func_def_132,type,
produc1299805450real_o: ( ( variable > real ) > ( variable > real ) > $o ) > produc1863992257e_real > $o ).
thf(func_def_133,type,
produc421130416real_o: ( produc104944723e_real > ( char > real > real ) > $o ) > produc729247771l_real > $o ).
thf(func_def_134,type,
produc991789875e_real: ( produc104944723e_real > ( char > real > real ) > produc1020032539e_real ) > produc729247771l_real > produc1020032539e_real ).
thf(func_def_135,type,
produc864726913e_real: ( produc1020032539e_real > ( char > real ) > produc1993135732e_real ) > produc2139219430r_real > produc1993135732e_real ).
thf(func_def_136,type,
produc1486464481e_real: produc104944723e_real > char > real > $o ).
thf(func_def_137,type,
produc634910399e_real: produc1020032539e_real > char > real > real ).
thf(func_def_138,type,
produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real ).
thf(func_def_139,type,
produc1146879930e_real: produc1993135732e_real > char > real ).
thf(func_def_140,type,
produc1547741887l_real: produc729247771l_real > produc104944723e_real ).
thf(func_def_141,type,
produc338920564r_real: produc2139219430r_real > produc1020032539e_real ).
thf(func_def_142,type,
produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_143,type,
produc1179001601e_real: produc1020032539e_real > produc104944723e_real ).
thf(func_def_144,type,
produc1930427431real_o: produc1606031907real_o > char > real > $o ).
thf(func_def_145,type,
produc1176159992e_real: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_146,type,
produc2091833089l_real: produc729247771l_real > char > real > real ).
thf(func_def_147,type,
produc368200626r_real: produc2139219430r_real > char > real ).
thf(func_def_148,type,
produc443915639real_o: produc2070499431real_o > produc2070499431real_o ).
thf(func_def_149,type,
produc914893101e_real: produc104944723e_real > produc1606031907real_o ).
thf(func_def_150,type,
produc995978247l_real: produc96687023l_real > produc96687023l_real ).
thf(func_def_151,type,
produc865271923e_real: produc1020032539e_real > produc729247771l_real ).
thf(func_def_152,type,
produc192924469real_o: produc1606031907real_o > produc104944723e_real ).
thf(func_def_153,type,
produc1656125423e_real: produc1120170903e_real > produc1120170903e_real ).
thf(func_def_154,type,
produc1564675697r_real: produc928489369r_real > produc928489369r_real ).
thf(func_def_155,type,
produc1726279942e_real: produc1993135732e_real > produc2139219430r_real ).
thf(func_def_156,type,
produc1778103411l_real: produc729247771l_real > produc1020032539e_real ).
thf(func_def_157,type,
produc918320576r_real: produc2139219430r_real > produc1993135732e_real ).
thf(func_def_158,type,
inv_im1954866834real_o: set_Pr1053253703real_o > ( ( char > real > $o ) > char > real > $o ) > set_Pr1053253703real_o ).
thf(func_def_159,type,
inv_im576609886l_real: set_Pr1053253703real_o > ( ( char > real > real ) > char > real > $o ) > set_Pr1919093775l_real ).
thf(func_def_160,type,
inv_im255337747r_real: set_Pr1053253703real_o > ( ( char > real ) > char > real > $o ) > set_Pr42335993r_real ).
thf(func_def_161,type,
inv_im1748900174real_o: set_Pr1919093775l_real > ( ( char > real > $o ) > char > real > real ) > set_Pr1053253703real_o ).
thf(func_def_162,type,
inv_im2119069858l_real: set_Pr1919093775l_real > ( ( char > real > real ) > char > real > real ) > set_Pr1919093775l_real ).
thf(func_def_163,type,
inv_im854642519r_real: set_Pr1919093775l_real > ( ( char > real ) > char > real > real ) > set_Pr42335993r_real ).
thf(func_def_164,type,
inv_im710342731r_real: set_Pr1588228599e_real > ( ( char > real ) > char > set_variable_real > set_variable_real ) > set_Pr42335993r_real ).
thf(func_def_165,type,
inv_im331529689real_o: set_Pr42335993r_real > ( ( char > real > $o ) > char > real ) > set_Pr1053253703real_o ).
thf(func_def_166,type,
inv_im96827991l_real: set_Pr42335993r_real > ( ( char > real > real ) > char > real ) > set_Pr1919093775l_real ).
thf(func_def_167,type,
inv_im817616652r_real: set_Pr42335993r_real > ( ( char > real ) > char > real ) > set_Pr42335993r_real ).
thf(func_def_168,type,
collect_char_real_o: ( ( char > real > $o ) > $o ) > set_char_real_o ).
thf(func_def_169,type,
collec1429138108l_real: ( ( char > real > real ) > $o ) > set_char_real_real ).
thf(func_def_170,type,
collec425771440e_real: ( ( char > set_variable_real > set_variable_real ) > $o ) > set_ch845833233e_real ).
thf(func_def_171,type,
collect_char_real: ( ( char > real ) > $o ) > set_char_real ).
thf(func_def_172,type,
collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).
thf(func_def_173,type,
collec1042577836e_real: ( produc1863992257e_real > $o ) > set_Pr1530225953e_real ).
thf(func_def_174,type,
image_1599134823e_real: ( ( variable > real ) > variable > real ) > set_variable_real > set_variable_real ).
thf(func_def_175,type,
image_448624581real_o: ( produc2070499431real_o > produc2070499431real_o ) > set_Pr1053253703real_o > set_Pr1053253703real_o ).
thf(func_def_176,type,
image_670686893e_real: ( produc104944723e_real > produc104944723e_real ) > set_Pr268868489e_real > set_Pr268868489e_real ).
thf(func_def_177,type,
image_1739334977e_real: ( produc104944723e_real > produc1020032539e_real ) > set_Pr268868489e_real > set_Pr307567739e_real ).
thf(func_def_178,type,
image_24290429real_o: ( produc104944723e_real > produc1606031907real_o ) > set_Pr268868489e_real > set_Pr366573913real_o ).
thf(func_def_179,type,
image_300296654e_real: ( produc104944723e_real > produc1993135732e_real ) > set_Pr268868489e_real > set_Pr397354154e_real ).
thf(func_def_180,type,
image_1347499973l_real: ( produc96687023l_real > produc96687023l_real ) > set_Pr1919093775l_real > set_Pr1919093775l_real ).
thf(func_def_181,type,
image_450993193e_real: ( produc1020032539e_real > produc104944723e_real ) > set_Pr307567739e_real > set_Pr268868489e_real ).
thf(func_def_182,type,
image_1823533253e_real: ( produc1020032539e_real > produc1020032539e_real ) > set_Pr307567739e_real > set_Pr307567739e_real ).
thf(func_def_183,type,
image_1698073930e_real: ( produc1020032539e_real > produc1993135732e_real ) > set_Pr307567739e_real > set_Pr397354154e_real ).
thf(func_def_184,type,
image_1532748485l_real: ( produc1020032539e_real > produc729247771l_real ) > set_Pr307567739e_real > set_Pr1730352763l_real ).
thf(func_def_185,type,
image_2028344445e_real: ( produc1606031907real_o > produc104944723e_real ) > set_Pr366573913real_o > set_Pr268868489e_real ).
thf(func_def_186,type,
image_1495813573e_real: ( produc1120170903e_real > produc1120170903e_real ) > set_Pr1588228599e_real > set_Pr1588228599e_real ).
thf(func_def_187,type,
image_1523756869r_real: ( produc928489369r_real > produc928489369r_real ) > set_Pr42335993r_real > set_Pr42335993r_real ).
thf(func_def_188,type,
image_426244814e_real: ( produc1993135732e_real > produc104944723e_real ) > set_Pr397354154e_real > set_Pr268868489e_real ).
thf(func_def_189,type,
image_479987936e_real: ( produc1993135732e_real > produc1020032539e_real ) > set_Pr397354154e_real > set_Pr307567739e_real ).
thf(func_def_190,type,
image_866442351e_real: ( produc1993135732e_real > produc1993135732e_real ) > set_Pr397354154e_real > set_Pr397354154e_real ).
thf(func_def_191,type,
image_1012526049r_real: ( produc1993135732e_real > produc2139219430r_real ) > set_Pr397354154e_real > set_Pr821009180r_real ).
thf(func_def_192,type,
image_711552709e_real: ( produc729247771l_real > produc1020032539e_real ) > set_Pr1730352763l_real > set_Pr307567739e_real ).
thf(func_def_193,type,
image_152725217e_real: ( produc2139219430r_real > produc1993135732e_real ) > set_Pr821009180r_real > set_Pr397354154e_real ).
thf(func_def_194,type,
uSubst1505767257e_repc: denotational_interp > char > real > denotational_interp ).
thf(func_def_195,type,
lex_pr2056840373e_real: set_Pr1053253703real_o > set_Pr1588228599e_real > set_Pr521705191e_real ).
thf(func_def_196,type,
lex_pr592421611e_real: set_Pr1919093775l_real > set_Pr521705191e_real > set_Pr1517071815e_real ).
thf(func_def_197,type,
lex_pr1793499278e_real: set_Pr42335993r_real > set_Pr1517071815e_real > set_Pr605909289e_real ).
thf(func_def_198,type,
same_f1185518776e_real: ( ( char > real > $o ) > $o ) > ( ( char > real > $o ) > set_Pr1588228599e_real ) > set_Pr521705191e_real ).
thf(func_def_199,type,
same_f1243548200e_real: ( ( char > real > real ) > $o ) > ( ( char > real > real ) > set_Pr521705191e_real ) > set_Pr1517071815e_real ).
thf(func_def_200,type,
same_f764716049e_real: ( ( char > real ) > $o ) > ( ( char > real ) > set_Pr1517071815e_real ) > set_Pr605909289e_real ).
thf(func_def_201,type,
member_char_real_o: ( char > real > $o ) > set_char_real_o > $o ).
thf(func_def_202,type,
member312374654l_real: ( char > real > real ) > set_char_real_real > $o ).
thf(func_def_203,type,
member2042895986e_real: ( char > set_variable_real > set_variable_real ) > set_ch845833233e_real > $o ).
thf(func_def_204,type,
member_char_real: ( char > real ) > set_char_real > $o ).
thf(func_def_205,type,
member_variable_real: ( variable > real ) > set_variable_real > $o ).
thf(func_def_206,type,
member1795186320real_o: produc2070499431real_o > set_Pr1053253703real_o > $o ).
thf(func_def_207,type,
member1871517162e_real: produc104944723e_real > set_Pr268868489e_real > $o ).
thf(func_def_208,type,
member1801875544l_real: produc96687023l_real > set_Pr1919093775l_real > $o ).
thf(func_def_209,type,
member544802500e_real: produc1020032539e_real > set_Pr307567739e_real > $o ).
thf(func_def_210,type,
member1225120698real_o: produc1606031907real_o > set_Pr366573913real_o > $o ).
thf(func_def_211,type,
member625963584e_real: produc1120170903e_real > set_Pr1588228599e_real > $o ).
thf(func_def_212,type,
member1086859330r_real: produc928489369r_real > set_Pr42335993r_real > $o ).
thf(func_def_213,type,
member1491807627e_real: produc1993135732e_real > set_Pr397354154e_real > $o ).
thf(func_def_214,type,
member561592938e_real: produc1863992257e_real > set_Pr1530225953e_real > $o ).
thf(func_def_215,type,
member254017732l_real: produc729247771l_real > set_Pr1730352763l_real > $o ).
thf(func_def_216,type,
member2016544560e_real: produc1416364679e_real > set_Pr521705191e_real > $o ).
thf(func_def_217,type,
member1637891325r_real: produc2139219430r_real > set_Pr821009180r_real > $o ).
thf(func_def_218,type,
member1778419728e_real: produc199503591e_real > set_Pr1517071815e_real > $o ).
thf(func_def_219,type,
member1966130802e_real: produc1014656201e_real > set_Pr605909289e_real > $o ).
thf(func_def_220,type,
i: denotational_interp ).
thf(func_def_221,type,
d: real ).
thf(func_def_222,type,
f: char ).
thf(func_def_226,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_227,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_228,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_229,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_230,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_231,type,
vIMP: $o > $o > $o ).
thf(func_def_232,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_233,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_234,type,
vAND: $o > $o > $o ).
thf(func_def_235,type,
vNOT: $o > $o ).
thf(func_def_236,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_237,type,
vOR: $o > $o > $o ).
thf(func_def_238,type,
sK0: produc1993135732e_real > char > real ).
thf(func_def_239,type,
sK1: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_240,type,
sK2: produc1020032539e_real > char > real > real ).
thf(func_def_241,type,
sK3: produc1020032539e_real > produc104944723e_real ).
thf(func_def_242,type,
sK4: produc928489369r_real > char > real ).
thf(func_def_243,type,
sK5: produc928489369r_real > char > real ).
thf(func_def_244,type,
sK6: produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_245,type,
sK7: produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_246,type,
sK8: produc104944723e_real > char > real > $o ).
thf(func_def_247,type,
sK9: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_248,type,
sK10: produc1606031907real_o > char > set_variable_real > set_variable_real ).
thf(func_def_249,type,
sK11: produc1606031907real_o > char > real > $o ).
thf(func_def_250,type,
sK12: produc2070499431real_o > char > real > $o ).
thf(func_def_251,type,
sK13: produc2070499431real_o > char > real > $o ).
thf(func_def_252,type,
sK14: produc96687023l_real > char > real > real ).
thf(func_def_253,type,
sK15: produc96687023l_real > char > real > real ).
thf(func_def_254,type,
sK16: produc1993135732e_real > char > real ).
thf(func_def_255,type,
sK17: produc1993135732e_real > char > real > real ).
thf(func_def_256,type,
sK18: produc1993135732e_real > produc104944723e_real ).
thf(func_def_257,type,
sK19: produc1020032539e_real > char > real > real ).
thf(func_def_258,type,
sK20: produc1020032539e_real > char > real > $o ).
thf(func_def_259,type,
sK21: produc1020032539e_real > char > set_variable_real > set_variable_real ).
thf(func_def_260,type,
sK22: produc1993135732e_real > char > real ).
thf(func_def_261,type,
sK23: produc1993135732e_real > char > real > real ).
thf(func_def_262,type,
sK24: produc1993135732e_real > char > real > $o ).
thf(func_def_263,type,
sK25: produc1993135732e_real > char > set_variable_real > set_variable_real ).
thf(func_def_264,type,
sK26: produc1993135732e_real > char > real ).
thf(func_def_265,type,
sK27: produc1993135732e_real > produc1020032539e_real ).
thf(func_def_266,type,
sK28: produc1020032539e_real > char > real > real ).
thf(func_def_267,type,
sK29: produc1020032539e_real > produc104944723e_real ).
thf(func_def_268,type,
sK30: produc928489369r_real > char > real ).
thf(func_def_269,type,
sK31: produc928489369r_real > char > real ).
thf(func_def_270,type,
sK32: produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_271,type,
sK33: produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_272,type,
sK34: produc104944723e_real > char > real > $o ).
thf(func_def_273,type,
sK35: produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_274,type,
sK36: produc1606031907real_o > char > set_variable_real > set_variable_real ).
thf(func_def_275,type,
sK37: produc1606031907real_o > char > real > $o ).
thf(func_def_276,type,
sK38: produc2070499431real_o > char > real > $o ).
thf(func_def_277,type,
sK39: produc2070499431real_o > char > real > $o ).
thf(func_def_278,type,
sK40: produc96687023l_real > char > real > real ).
thf(func_def_279,type,
sK41: produc96687023l_real > char > real > real ).
thf(func_def_280,type,
sK42: ( produc1863992257e_real > $o ) > ( produc1863992257e_real > $o ) > produc1863992257e_real ).
thf(func_def_281,type,
sK43: ( ( variable > real ) > $o ) > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_282,type,
sK44: ( ( variable > real ) > $o ) > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_283,type,
sK45: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > char > real ).
thf(func_def_284,type,
sK46: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > produc1020032539e_real ).
thf(func_def_285,type,
sK47: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > char > real > real ).
thf(func_def_286,type,
sK48: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > produc104944723e_real ).
thf(func_def_287,type,
sK49: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > char > real ).
thf(func_def_288,type,
sK50: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > char > real ).
thf(func_def_289,type,
sK51: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_290,type,
sK52: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > char > set_variable_real > set_variable_real ).
thf(func_def_291,type,
sK53: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > char > real > $o ).
thf(func_def_292,type,
sK54: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_293,type,
sK55: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > char > set_variable_real > set_variable_real ).
thf(func_def_294,type,
sK56: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > char > real > $o ).
thf(func_def_295,type,
sK57: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > char > real > $o ).
thf(func_def_296,type,
sK58: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > char > real > $o ).
thf(func_def_297,type,
sK59: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > char > real > real ).
thf(func_def_298,type,
sK60: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > char > real > real ).
thf(func_def_299,type,
sK61: set_Pr397354154e_real > set_Pr397354154e_real > char > real ).
thf(func_def_300,type,
sK62: set_Pr397354154e_real > set_Pr397354154e_real > produc1020032539e_real ).
thf(func_def_301,type,
sK63: set_Pr307567739e_real > set_Pr307567739e_real > char > real > real ).
thf(func_def_302,type,
sK64: set_Pr307567739e_real > set_Pr307567739e_real > produc104944723e_real ).
thf(func_def_303,type,
sK65: set_Pr268868489e_real > set_Pr268868489e_real > char > real > $o ).
thf(func_def_304,type,
sK66: set_Pr268868489e_real > set_Pr268868489e_real > char > set_variable_real > set_variable_real ).
thf(func_def_305,type,
sK67: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_306,type,
sK68: ( produc1993135732e_real > $o ) > produc1020032539e_real ).
thf(func_def_307,type,
sK69: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_308,type,
sK70: ( produc1993135732e_real > $o ) > produc1020032539e_real ).
thf(func_def_309,type,
sK71: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_310,type,
sK72: ( produc1020032539e_real > $o ) > produc104944723e_real ).
thf(func_def_311,type,
sK73: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_312,type,
sK74: ( produc1020032539e_real > $o ) > produc104944723e_real ).
thf(func_def_313,type,
sK75: ( produc928489369r_real > $o ) > char > real ).
thf(func_def_314,type,
sK76: ( produc928489369r_real > $o ) > char > real ).
thf(func_def_315,type,
sK77: ( produc928489369r_real > $o ) > char > real ).
thf(func_def_316,type,
sK78: ( produc928489369r_real > $o ) > char > real ).
thf(func_def_317,type,
sK79: ( produc1120170903e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_318,type,
sK80: ( produc1120170903e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_319,type,
sK81: ( produc1120170903e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_320,type,
sK82: ( produc1120170903e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_321,type,
sK83: ( produc1606031907real_o > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_322,type,
sK84: ( produc1606031907real_o > $o ) > char > real > $o ).
thf(func_def_323,type,
sK85: ( produc1606031907real_o > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_324,type,
sK86: ( produc1606031907real_o > $o ) > char > real > $o ).
thf(func_def_325,type,
sK87: ( produc2070499431real_o > $o ) > char > real > $o ).
thf(func_def_326,type,
sK88: ( produc2070499431real_o > $o ) > char > real > $o ).
thf(func_def_327,type,
sK89: ( produc2070499431real_o > $o ) > char > real > $o ).
thf(func_def_328,type,
sK90: ( produc2070499431real_o > $o ) > char > real > $o ).
thf(func_def_329,type,
sK91: ( produc96687023l_real > $o ) > char > real > real ).
thf(func_def_330,type,
sK92: ( produc96687023l_real > $o ) > char > real > real ).
thf(func_def_331,type,
sK93: ( produc96687023l_real > $o ) > char > real > real ).
thf(func_def_332,type,
sK94: ( produc96687023l_real > $o ) > char > real > real ).
thf(func_def_333,type,
sK95: ( produc104944723e_real > $o ) > char > real > $o ).
thf(func_def_334,type,
sK96: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_335,type,
sK97: ( produc104944723e_real > $o ) > char > real > $o ).
thf(func_def_336,type,
sK98: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_337,type,
sK99: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_338,type,
sK100: ( produc1993135732e_real > $o ) > char > real > real ).
thf(func_def_339,type,
sK101: ( produc1993135732e_real > $o ) > produc104944723e_real ).
thf(func_def_340,type,
sK102: ( produc1020032539e_real > $o ) > char > real > real ).
thf(func_def_341,type,
sK103: ( produc1020032539e_real > $o ) > char > real > $o ).
thf(func_def_342,type,
sK104: ( produc1020032539e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_343,type,
sK105: ( produc1993135732e_real > $o ) > char > real ).
thf(func_def_344,type,
sK106: ( produc1993135732e_real > $o ) > char > real > real ).
thf(func_def_345,type,
sK107: ( produc1993135732e_real > $o ) > char > real > $o ).
thf(func_def_346,type,
sK108: ( produc1993135732e_real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_347,type,
sK109: produc1993135732e_real > ( ( char > real ) > produc1020032539e_real > $o ) > char > real ).
thf(func_def_348,type,
sK110: produc1993135732e_real > ( ( char > real ) > produc1020032539e_real > $o ) > produc1020032539e_real ).
thf(func_def_349,type,
sK111: produc1020032539e_real > ( ( char > real > real ) > produc104944723e_real > $o ) > char > real > real ).
thf(func_def_350,type,
sK112: produc1020032539e_real > ( ( char > real > real ) > produc104944723e_real > $o ) > produc104944723e_real ).
thf(func_def_351,type,
sK113: produc104944723e_real > ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > char > real > $o ).
thf(func_def_352,type,
sK114: produc104944723e_real > ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_353,type,
sK115: ( ( char > real ) > set_Pr307567739e_real ) > set_char_real > produc1993135732e_real > char > real ).
thf(func_def_354,type,
sK116: ( ( char > real ) > set_Pr307567739e_real ) > set_char_real > produc1993135732e_real > produc1020032539e_real ).
thf(func_def_355,type,
sK117: ( ( char > real > real ) > set_Pr268868489e_real ) > set_char_real_real > produc1020032539e_real > char > real > real ).
thf(func_def_356,type,
sK118: ( ( char > real > real ) > set_Pr268868489e_real ) > set_char_real_real > produc1020032539e_real > produc104944723e_real ).
thf(func_def_357,type,
sK119: ( ( char > real > $o ) > set_ch845833233e_real ) > set_char_real_o > produc104944723e_real > char > real > $o ).
thf(func_def_358,type,
sK120: ( ( char > real > $o ) > set_ch845833233e_real ) > set_char_real_o > produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_359,type,
sK121: ( char > set_variable_real > set_variable_real ) > char ).
thf(func_def_360,type,
sK122: ( ( variable > real ) > $o ) > ( ( variable > real ) > $o ) > set_variable_real > variable > real ).
thf(func_def_361,type,
sK123: set_Pr397354154e_real > ( produc1020032539e_real > produc1020032539e_real ) > ( ( char > real ) > char > real ) > produc1993135732e_real > char > real ).
thf(func_def_362,type,
sK124: set_Pr397354154e_real > ( produc1020032539e_real > produc1020032539e_real ) > ( ( char > real ) > char > real ) > produc1993135732e_real > produc1020032539e_real ).
thf(func_def_363,type,
sK125: set_Pr307567739e_real > ( produc104944723e_real > produc1020032539e_real ) > ( ( char > real > real ) > char > real ) > produc1993135732e_real > char > real > real ).
thf(func_def_364,type,
sK126: set_Pr307567739e_real > ( produc104944723e_real > produc1020032539e_real ) > ( ( char > real > real ) > char > real ) > produc1993135732e_real > produc104944723e_real ).
thf(func_def_365,type,
sK127: set_Pr397354154e_real > ( produc1020032539e_real > produc104944723e_real ) > ( ( char > real ) > char > real > real ) > produc1020032539e_real > char > real ).
thf(func_def_366,type,
sK128: set_Pr397354154e_real > ( produc1020032539e_real > produc104944723e_real ) > ( ( char > real ) > char > real > real ) > produc1020032539e_real > produc1020032539e_real ).
thf(func_def_367,type,
sK129: set_Pr307567739e_real > ( produc104944723e_real > produc104944723e_real ) > ( ( char > real > real ) > char > real > real ) > produc1020032539e_real > char > real > real ).
thf(func_def_368,type,
sK130: set_Pr307567739e_real > ( produc104944723e_real > produc104944723e_real ) > ( ( char > real > real ) > char > real > real ) > produc1020032539e_real > produc104944723e_real ).
thf(func_def_369,type,
sK131: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > ( ( char > real > $o ) > char > real ) > produc1993135732e_real > char > real > $o ).
thf(func_def_370,type,
sK132: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > ( ( char > real > $o ) > char > real ) > produc1993135732e_real > char > set_variable_real > set_variable_real ).
thf(func_def_371,type,
sK133: set_Pr397354154e_real > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > ( ( char > real ) > char > real > $o ) > produc104944723e_real > char > real ).
thf(func_def_372,type,
sK134: set_Pr397354154e_real > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > ( ( char > real ) > char > real > $o ) > produc104944723e_real > produc1020032539e_real ).
thf(func_def_373,type,
sK135: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > ( ( char > real > $o ) > char > real > real ) > produc1020032539e_real > char > real > $o ).
thf(func_def_374,type,
sK136: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > ( ( char > real > $o ) > char > real > real ) > produc1020032539e_real > char > set_variable_real > set_variable_real ).
thf(func_def_375,type,
sK137: set_Pr307567739e_real > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > ( ( char > real > real ) > char > real > $o ) > produc104944723e_real > char > real > real ).
thf(func_def_376,type,
sK138: set_Pr307567739e_real > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > ( ( char > real > real ) > char > real > $o ) > produc104944723e_real > produc104944723e_real ).
thf(func_def_377,type,
sK139: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > ( ( char > real > $o ) > char > real > $o ) > produc104944723e_real > char > real > $o ).
thf(func_def_378,type,
sK140: set_Pr268868489e_real > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > ( ( char > real > $o ) > char > real > $o ) > produc104944723e_real > char > set_variable_real > set_variable_real ).
thf(func_def_380,type,
sK142: set_variable_real > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_381,type,
sK143: ( ( variable > real ) > $o ) > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_382,type,
sK144: produc104944723e_real > ( char > real > $o ) > char > set_variable_real > set_variable_real ).
thf(func_def_383,type,
sK145: produc104944723e_real > ( char > set_variable_real > set_variable_real ) > char > real > $o ).
thf(func_def_384,type,
sK146: produc1020032539e_real > ( char > real > real ) > produc104944723e_real ).
thf(func_def_385,type,
sK147: produc1993135732e_real > ( char > real ) > produc1020032539e_real ).
thf(func_def_386,type,
sK148: produc1020032539e_real > produc104944723e_real > char > real > real ).
thf(func_def_387,type,
sK149: produc1993135732e_real > produc1020032539e_real > char > real ).
thf(func_def_388,type,
sK150: ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_389,type,
sK151: ( ( variable > real ) > $o ) > variable > real ).
thf(f2496,plain,
$false,
inference(equality_resolution,[],[f2495]) ).
thf(f2495,plain,
! [X0: denotational_interp] : ( i != X0 ),
inference(subsumption_resolution,[],[f2485,f1564]) ).
thf(f1564,plain,
! [X2: char > real > $o,X3: char > set_variable_real > set_variable_real,X0: char > real,X1: char > real > real] : ( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,X0),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,X1),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,X2),X3))))) = X2 ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: char > real,X1: char > real > real,X2: char > real > $o,X3: char > set_variable_real > set_variable_real] : ( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,X0),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,X1),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,X2),X3))))) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Preds__mkinterp) ).
thf(f2485,plain,
! [X0: denotational_interp] :
( ( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,vAPP(sTfun(char,real),sTfun(char,real),vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,real),sTfun(char,real)),sCOMB,vAPP(real,sTfun(char,sTfun(real,real)),vAPP(sTfun(char,sTfun(real,sTfun(real,real))),sTfun(real,sTfun(char,sTfun(real,real))),cCOMB,vAPP(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real))),vAPP(sTfun($o,sTfun(real,sTfun(real,real))),sTfun(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real)))),bCOMB,if_real),vAPP(char,sTfun(char,$o),vEQ(char),f))),d)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0))),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))) )
| ( i != X0 ) ),
inference(superposition,[],[f1288,f2033]) ).
thf(f2033,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0) = vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1) )
| ( X0 != X1 ) ),
inference(equality_proxy_clausification,[],[f2032]) ).
thf(f2032,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0) = vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1) )
| ( $false = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ) ),
inference(equality_proxy_clausification,[],[f2031]) ).
thf(f2031,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( $true = vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1)) )
| ( $false = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f2029]) ).
thf(f2029,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1))),vAPP(sTfun(char,sTfun(real,real)),$o,vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,sTfun(real,real)),$o),vEQ(sTfun(char,sTfun(real,real))),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1))) )
| ( $false = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f2027]) ).
thf(f2027,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1))),vAPP(sTfun(char,sTfun(real,real)),$o,vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,sTfun(real,real)),$o),vEQ(sTfun(char,sTfun(real,real))),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1)))),vAPP(sTfun(char,sTfun(real,$o)),$o,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(real,$o)),$o),vEQ(sTfun(char,sTfun(real,$o))),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X1))) )
| ( $false = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f2016]) ).
thf(f2016,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1))),vAPP(sTfun(char,sTfun(real,real)),$o,vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,sTfun(real,real)),$o),vEQ(sTfun(char,sTfun(real,real))),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1)))),vAPP(sTfun(char,sTfun(real,$o)),$o,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(real,$o)),$o),vEQ(sTfun(char,sTfun(real,$o))),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X1)))),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o,vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o),vEQ(sTfun(char,sTfun(set_variable_real,set_variable_real))),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X0)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X1))) )
| ( $false = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f1412]) ).
thf(f1412,plain,
! [X0: denotational_interp,X1: denotational_interp] : ( vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1))),vAPP(sTfun(char,sTfun(real,real)),$o,vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,sTfun(real,real)),$o),vEQ(sTfun(char,sTfun(real,real))),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1)))),vAPP(sTfun(char,sTfun(real,$o)),$o,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(real,$o)),$o),vEQ(sTfun(char,sTfun(real,$o))),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X1)))),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o,vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o),vEQ(sTfun(char,sTfun(set_variable_real,set_variable_real))),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X0)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X1))) = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ),
inference(cnf_transformation,[],[f469]) ).
thf(f469,plain,
! [X0: denotational_interp,X1: denotational_interp] : ( vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(sTfun(char,real),$o,vAPP(sTfun(char,real),sTfun(sTfun(char,real),$o),vEQ(sTfun(char,real)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1))),vAPP(sTfun(char,sTfun(real,real)),$o,vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,sTfun(real,real)),$o),vEQ(sTfun(char,sTfun(real,real))),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1)))),vAPP(sTfun(char,sTfun(real,$o)),$o,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(real,$o)),$o),vEQ(sTfun(char,sTfun(real,$o))),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X0)),vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X1)))),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o,vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),$o),vEQ(sTfun(char,sTfun(set_variable_real,set_variable_real))),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X0)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X1))) = vAPP(denotational_interp,$o,vAPP(denotational_interp,sTfun(denotational_interp,$o),vEQ(denotational_interp),X0),X1) ),
inference(fool_elimination,[],[f468]) ).
thf(f468,plain,
! [X0: denotational_interp,X1: denotational_interp] :
( ( vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X0) = vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X1) )
& ( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X0) = vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X1) )
& ( vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X0) = vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X1) )
& ( ( vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X0) = vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X1) )
= ( X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X4: denotational_interp,X5: denotational_interp] :
( ( vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X4) = vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,X5) )
& ( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X4) = vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,X5) )
& ( vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X4) = vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,X5) )
& ( ( vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X4) = vAPP(denotational_interp,sTfun(char,real),denotational_Consts,X5) )
= ( X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_mkinterp__eq) ).
thf(f1288,plain,
vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,vAPP(sTfun(char,real),sTfun(char,real),vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,real),sTfun(char,real)),sCOMB,vAPP(real,sTfun(char,sTfun(real,real)),vAPP(sTfun(char,sTfun(real,sTfun(real,real))),sTfun(real,sTfun(char,sTfun(real,real))),cCOMB,vAPP(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real))),vAPP(sTfun($o,sTfun(real,sTfun(real,real))),sTfun(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real)))),bCOMB,if_real),vAPP(char,sTfun(char,$o),vEQ(char),f))),d)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i))),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))),
inference(cnf_transformation,[],[f826]) ).
thf(f826,plain,
vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,vAPP(sTfun(char,real),sTfun(char,real),vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,real),sTfun(char,real)),sCOMB,vAPP(real,sTfun(char,sTfun(real,real)),vAPP(sTfun(char,sTfun(real,sTfun(real,real))),sTfun(real,sTfun(char,sTfun(real,real))),cCOMB,vAPP(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real))),vAPP(sTfun($o,sTfun(real,sTfun(real,real))),sTfun(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real)))),bCOMB,if_real),vAPP(char,sTfun(char,$o),vEQ(char),f))),d)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i))),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))),
inference(flattening,[],[f363]) ).
thf(f363,plain,
vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,vAPP(produc1020032539e_real,produc1993135732e_real,vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,vAPP(sTfun(char,real),sTfun(char,real),vAPP(sTfun(char,sTfun(real,real)),sTfun(sTfun(char,real),sTfun(char,real)),sCOMB,vAPP(real,sTfun(char,sTfun(real,real)),vAPP(sTfun(char,sTfun(real,sTfun(real,real))),sTfun(real,sTfun(char,sTfun(real,real))),cCOMB,vAPP(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real))),vAPP(sTfun($o,sTfun(real,sTfun(real,real))),sTfun(sTfun(char,$o),sTfun(char,sTfun(real,sTfun(real,real)))),bCOMB,if_real),vAPP(char,sTfun(char,$o),vEQ(char),f))),d)),vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i))),vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))),
inference(fool_elimination,[],[f362]) ).
thf(f362,plain,
( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,
vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,
vAPP(produc1020032539e_real,produc1993135732e_real,
vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,
^ [X0: char] : vAPP(real,real,vAPP(real,sTfun(real,real),vAPP($o,sTfun(real,sTfun(real,real)),if_real,f = X0),d),vAPP(char,real,vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i),X0))),
vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) ),
inference(rectify,[],[f359]) ).
thf(f359,negated_conjecture,
( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,
vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,
vAPP(produc1020032539e_real,produc1993135732e_real,
vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,
^ [X9: char] : vAPP(real,real,vAPP(real,sTfun(real,real),vAPP($o,sTfun(real,sTfun(real,real)),if_real,f = X9),d),vAPP(char,real,vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i),X9))),
vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))) != vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) ),
inference(negated_conjecture,[],[f358]) ).
thf(f358,conjecture,
( vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,
vAPP(produc1993135732e_real,denotational_interp,denota1150374853interp,
vAPP(produc1020032539e_real,produc1993135732e_real,
vAPP(sTfun(char,real),sTfun(produc1020032539e_real,produc1993135732e_real),produc2125489830e_real,
^ [X9: char] : vAPP(real,real,vAPP(real,sTfun(real,real),vAPP($o,sTfun(real,sTfun(real,real)),if_real,f = X9),d),vAPP(char,real,vAPP(denotational_interp,sTfun(char,real),denotational_Consts,i),X9))),
vAPP(produc104944723e_real,produc1020032539e_real,vAPP(sTfun(char,sTfun(real,real)),sTfun(produc104944723e_real,produc1020032539e_real),produc141013715e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,real)),denotational_Funcs,i)),vAPP(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real,vAPP(sTfun(char,sTfun(real,$o)),sTfun(sTfun(char,sTfun(set_variable_real,set_variable_real)),produc104944723e_real),produc2007437005e_real,vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i)),vAPP(denotational_interp,sTfun(char,sTfun(set_variable_real,set_variable_real)),denotational_Games,i)))))) = vAPP(denotational_interp,sTfun(char,sTfun(real,$o)),denotational_Preds,i) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP198^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.17/0.37 % Computer : n027.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sat May 18 16:29:38 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.17/0.38 % (17187)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (17190)WARNING: value z3 for option sas not known
% 0.23/0.44 % (17190)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.44 % (17192)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.23/0.44 % (17194)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.23/0.44 % (17193)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.44 % (17188)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.44 % (17191)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.44 % (17189)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.49 % (17194)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.50 % Exception at run slice level
% 0.23/0.50 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.50 % Exception at run slice level
% 0.23/0.50 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.52 % (17196)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.23/0.52 % (17195)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.23/0.54 % Exception at run slice level
% 0.23/0.54 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.56 % (17197)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.23/0.58 % (17195)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.58 % (17196)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.52/0.62 % Exception at run slice level
% 1.52/0.62 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.73/0.64 % (17198)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.06/0.75 % (17197)First to succeed.
% 2.06/0.75 % (17197)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17187"
% 2.06/0.75 % (17197)Refutation found. Thanks to Tanya!
% 2.06/0.75 % SZS status Theorem for theBenchmark
% 2.06/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.76 % (17197)------------------------------
% 2.06/0.76 % (17197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.06/0.76 % (17197)Termination reason: Refutation
% 2.06/0.76
% 2.06/0.76 % (17197)Memory used [KB]: 3305
% 2.06/0.76 % (17197)Time elapsed: 0.190 s
% 2.06/0.76 % (17197)Instructions burned: 323 (million)
% 2.06/0.76 % (17187)Success in time 0.379 s
%------------------------------------------------------------------------------