%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP200^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:11:05 AM UTC 2026
% Result : Theorem 7.12s 1.34s
% Output : Refutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 12 ~; 3 |; 2 &; 62 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 52 ( 51 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 463 ( 461 usr; 9 con; 0-4 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1699626005le_trm: $tType ).
thf(type_def_6,type,
produc1418842292n_game: $tType ).
thf(type_def_7,type,
set_Pr1918373977on_fml: $tType ).
thf(type_def_8,type,
set_Pr1062384839on_trm: $tType ).
thf(type_def_9,type,
set_Pr519625031on_fml: $tType ).
thf(type_def_10,type,
set_Pr1588097095on_trm: $tType ).
thf(type_def_11,type,
set_Pr1045337287on_fml: $tType ).
thf(type_def_12,type,
produc1928189433on_fml: $tType ).
thf(type_def_13,type,
produc2024965863on_trm: $tType ).
thf(type_def_14,type,
produc591588199on_fml: $tType ).
thf(type_def_15,type,
produc1158546023on_trm: $tType ).
thf(type_def_16,type,
produc1872652007on_fml: $tType ).
thf(type_def_17,type,
set_Pr1481565921on_trm: $tType ).
thf(type_def_18,type,
set_Pr1969262145le_trm: $tType ).
thf(type_def_19,type,
produc2018724225on_trm: $tType ).
thf(type_def_20,type,
produc1279577057le_trm: $tType ).
thf(type_def_21,type,
set_Pr1625152599n_game: $tType ).
thf(type_def_22,type,
set_Pr622314946on_fml: $tType ).
thf(type_def_23,type,
set_Pr1471344007on_trm: $tType ).
thf(type_def_24,type,
set_Pr927595527on_fml: $tType ).
thf(type_def_25,type,
set_Pr181266295riable: $tType ).
thf(type_def_26,type,
produc1016592119n_game: $tType ).
thf(type_def_27,type,
produc1739631244on_fml: $tType ).
thf(type_def_28,type,
produc1072747943on_trm: $tType ).
thf(type_def_29,type,
produc1456309597on_fml: $tType ).
thf(type_def_30,type,
produc1810527345on_trm: $tType ).
thf(type_def_31,type,
produc46605351on_fml: $tType ).
thf(type_def_32,type,
produc432717079riable: $tType ).
thf(type_def_33,type,
set_Pr943832262on_trm: $tType ).
thf(type_def_34,type,
set_Pr1235432374le_trm: $tType ).
thf(type_def_35,type,
produc1024976764on_trm: $tType ).
thf(type_def_36,type,
produc1408538418on_fml: $tType ).
thf(type_def_37,type,
produc464795408on_trm: $tType ).
thf(type_def_38,type,
produc833882726rp_trm: $tType ).
thf(type_def_39,type,
produc1367888000le_trm: $tType ).
thf(type_def_40,type,
set_Pr604539619r_char: $tType ).
thf(type_def_41,type,
set_Pr491793543rm_trm: $tType ).
thf(type_def_42,type,
produc1593312387r_char: $tType ).
thf(type_def_43,type,
product_prod_trm_trm: $tType ).
thf(type_def_44,type,
option_game: $tType ).
thf(type_def_45,type,
option_trm: $tType ).
thf(type_def_46,type,
option_fml: $tType ).
thf(type_def_47,type,
denotational_interp: $tType ).
thf(type_def_48,type,
set_variable: $tType ).
thf(type_def_49,type,
set_char: $tType ).
thf(type_def_50,type,
variable: $tType ).
thf(type_def_51,type,
game: $tType ).
thf(type_def_52,type,
char: $tType ).
thf(type_def_53,type,
trm: $tType ).
thf(type_def_54,type,
fml: $tType ).
thf(type_def_55,type,
real: $tType ).
thf(type_def_56,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr1866170027on_fml: set_char > ( char > option_fml ) > ( char > option_fml ) > set_Pr927595527on_fml ).
thf(func_def_1,type,
bNF_Gr756940202on_fml: set_char > ( char > option_game ) > ( char > option_fml ) > set_Pr622314946on_fml ).
thf(func_def_2,type,
bNF_Gr1666135339on_trm: set_char > ( char > option_trm ) > ( char > option_trm ) > set_Pr1471344007on_trm ).
thf(func_def_3,type,
bNF_Gr852774302le_trm: set_char > ( char > set_variable ) > ( char > trm ) > set_Pr1235432374le_trm ).
thf(func_def_4,type,
bNF_Gr951178926on_trm: set_char > ( char > char ) > ( char > option_trm ) > set_Pr943832262on_trm ).
thf(func_def_5,type,
bNF_Gr600956991on_fml: set_variable > ( variable > option_fml ) > ( variable > option_fml ) > set_Pr927595527on_fml ).
thf(func_def_6,type,
bNF_Gr2142503190on_fml: set_variable > ( variable > option_game ) > ( variable > option_fml ) > set_Pr622314946on_fml ).
thf(func_def_7,type,
bNF_Gr400922303on_trm: set_variable > ( variable > option_trm ) > ( variable > option_trm ) > set_Pr1471344007on_trm ).
thf(func_def_8,type,
bNF_Gr1330108682le_trm: set_variable > ( variable > set_variable ) > ( variable > trm ) > set_Pr1235432374le_trm ).
thf(func_def_9,type,
bNF_Gr1933470746on_trm: set_variable > ( variable > char ) > ( variable > option_trm ) > set_Pr943832262on_trm ).
thf(func_def_10,type,
bNF_Gr806120164on_fml: set_Pr927595527on_fml > ( option_fml > option_fml ) > set_Pr927595527on_fml ).
thf(func_def_11,type,
denota1419872369iation: ( variable > real ) > ( variable > real ) > set_variable > $o ).
thf(func_def_12,type,
none_fml: option_fml ).
thf(func_def_13,type,
none_game: option_game ).
thf(func_def_14,type,
none_trm: option_trm ).
thf(func_def_15,type,
some_fml: fml > option_fml ).
thf(func_def_16,type,
some_game: game > option_game ).
thf(func_def_17,type,
some_trm: trm > option_trm ).
thf(func_def_18,type,
case_option_o_fml: $o > ( fml > $o ) > option_fml > $o ).
thf(func_def_19,type,
case_option_o_game: $o > ( game > $o ) > option_game > $o ).
thf(func_def_20,type,
case_option_o_trm: $o > ( trm > $o ) > option_trm > $o ).
thf(func_def_21,type,
the_fml: option_fml > fml ).
thf(func_def_22,type,
the_game: option_game > game ).
thf(func_def_23,type,
the_trm: option_trm > trm ).
thf(func_def_24,type,
ord_le802833166_fml_o: ( option_fml > option_fml > $o ) > ( option_fml > option_fml > $o ) > $o ).
thf(func_def_25,type,
ord_le181580155_fml_o: ( option_fml > $o ) > ( option_fml > $o ) > $o ).
thf(func_def_26,type,
ord_le1588489637_fml_o: ( option_game > option_fml > $o ) > ( option_game > option_fml > $o ) > $o ).
thf(func_def_27,type,
ord_le847028878_trm_o: ( option_trm > option_trm > $o ) > ( option_trm > option_trm > $o ) > $o ).
thf(func_def_28,type,
ord_le1957133745_trm_o: ( option_trm > $o ) > ( option_trm > $o ) > $o ).
thf(func_def_29,type,
ord_le90123726_trm_o: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > $o ).
thf(func_def_30,type,
ord_le1721128566_trm_o: ( produc1072747943on_trm > $o ) > ( produc1072747943on_trm > $o ) > $o ).
thf(func_def_31,type,
ord_le157637894_trm_o: ( produc464795408on_trm > produc464795408on_trm > $o ) > ( produc464795408on_trm > produc464795408on_trm > $o ) > $o ).
thf(func_def_32,type,
ord_le1222882015_trm_o: ( produc464795408on_trm > $o ) > ( produc464795408on_trm > $o ) > $o ).
thf(func_def_33,type,
ord_le370603054_trm_o: ( produc1024976764on_trm > produc1024976764on_trm > $o ) > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > $o ).
thf(func_def_34,type,
ord_le373274227_trm_o: ( produc1024976764on_trm > $o ) > ( produc1024976764on_trm > $o ) > $o ).
thf(func_def_35,type,
ord_le691957041_trm_o: ( set_variable > trm > $o ) > ( set_variable > trm > $o ) > $o ).
thf(func_def_36,type,
ord_le1890124833_trm_o: ( char > option_trm > $o ) > ( char > option_trm > $o ) > $o ).
thf(func_def_37,type,
ord_less_eq_char_o: ( char > $o ) > ( char > $o ) > $o ).
thf(func_def_38,type,
ord_le1407353162able_o: ( variable > $o ) > ( variable > $o ) > $o ).
thf(func_def_39,type,
ord_le778974119on_fml: set_Pr927595527on_fml > set_Pr927595527on_fml > $o ).
thf(func_def_40,type,
ord_le782333474on_fml: set_Pr622314946on_fml > set_Pr622314946on_fml > $o ).
thf(func_def_41,type,
ord_le1322722599on_trm: set_Pr1471344007on_trm > set_Pr1471344007on_trm > $o ).
thf(func_def_42,type,
ord_le2102862870le_trm: set_Pr1235432374le_trm > set_Pr1235432374le_trm > $o ).
thf(func_def_43,type,
ord_le541293862on_trm: set_Pr943832262on_trm > set_Pr943832262on_trm > $o ).
thf(func_def_44,type,
ord_less_eq_set_char: set_char > set_char > $o ).
thf(func_def_45,type,
ord_le282106107riable: set_variable > set_variable > $o ).
thf(func_def_46,type,
order_272405634riable: ( set_variable > $o ) > set_variable ).
thf(func_def_47,type,
produc1132922070rp_trm: denotational_interp > trm > produc833882726rp_trm ).
thf(func_def_48,type,
produc909629463on_fml: option_fml > option_fml > produc46605351on_fml ).
thf(func_def_49,type,
produc1447374177on_trm: option_fml > option_trm > produc1810527345on_trm ).
thf(func_def_50,type,
produc2124676926on_fml: option_game > option_fml > produc1739631244on_fml ).
thf(func_def_51,type,
produc1111617711n_game: option_game > option_game > produc1016592119n_game ).
thf(func_def_52,type,
produc171850061on_fml: option_trm > option_fml > produc1456309597on_fml ).
thf(func_def_53,type,
produc709594775on_trm: option_trm > option_trm > produc1072747943on_trm ).
thf(func_def_54,type,
produc2015636557le_trm: produc1418842292n_game > produc1367888000le_trm > produc1699626005le_trm ).
thf(func_def_55,type,
produc1367044951on_fml: produc46605351on_fml > produc46605351on_fml > produc1872652007on_fml ).
thf(func_def_56,type,
produc2132972503on_trm: produc1810527345on_trm > produc1810527345on_trm > produc1158546023on_trm ).
thf(func_def_57,type,
produc556056113on_fml: produc1739631244on_fml > produc1739631244on_fml > produc1928189433on_fml ).
thf(func_def_58,type,
produc1235825367on_fml: produc1456309597on_fml > produc1456309597on_fml > produc591588199on_fml ).
thf(func_def_59,type,
produc2001752919on_trm: produc1072747943on_trm > produc1072747943on_trm > produc2024965863on_trm ).
thf(func_def_60,type,
produc1056455193le_trm: produc1367888000le_trm > produc1367888000le_trm > produc1279577057le_trm ).
thf(func_def_61,type,
produc444919481on_trm: produc464795408on_trm > produc464795408on_trm > produc2018724225on_trm ).
thf(func_def_62,type,
produc1766592463riable: set_variable > set_variable > produc432717079riable ).
thf(func_def_63,type,
produc1482344242le_trm: set_variable > trm > produc1367888000le_trm ).
thf(func_def_64,type,
produc1500300866on_trm: char > option_trm > produc464795408on_trm ).
thf(func_def_65,type,
produc19545147r_char: char > char > produc1593312387r_char ).
thf(func_def_66,type,
product_Pair_trm_trm: trm > trm > product_prod_trm_trm ).
thf(func_def_67,type,
produc1205977188on_fml: variable > option_fml > produc1408538418on_fml ).
thf(func_def_68,type,
produc1743721902on_trm: variable > option_trm > produc1024976764on_trm ).
thf(func_def_69,type,
collec670974098on_fml: ( produc46605351on_fml > $o ) > set_Pr927595527on_fml ).
thf(func_def_70,type,
collec749447393on_fml: ( produc1739631244on_fml > $o ) > set_Pr622314946on_fml ).
thf(func_def_71,type,
collec1697116690on_trm: ( produc1072747943on_trm > $o ) > set_Pr1471344007on_trm ).
thf(func_def_72,type,
collec575343829le_trm: ( produc1367888000le_trm > $o ) > set_Pr1235432374le_trm ).
thf(func_def_73,type,
collec1756633317on_trm: ( produc464795408on_trm > $o ) > set_Pr943832262on_trm ).
thf(func_def_74,type,
collect_char: ( char > $o ) > set_char ).
thf(func_def_75,type,
collect_variable: ( variable > $o ) > set_variable ).
thf(func_def_76,type,
geq: trm > trm > fml ).
thf(func_def_77,type,
assign: variable > trm > game ).
thf(func_def_78,type,
ode: char > trm > game ).
thf(func_def_79,type,
test: fml > game ).
thf(func_def_80,type,
const: char > trm ).
thf(func_def_81,type,
differential: trm > trm ).
thf(func_def_82,type,
func: char > trm > trm ).
thf(func_def_83,type,
number: real > trm ).
thf(func_def_84,type,
plus: trm > trm > trm ).
thf(func_def_85,type,
times: trm > trm > trm ).
thf(func_def_86,type,
var: variable > trm ).
thf(func_def_87,type,
uSubst834381837ssigno: variable > option_trm > option_game ).
thf(func_def_88,type,
uSubst157155628no_rel: produc1024976764on_trm > produc1024976764on_trm > $o ).
thf(func_def_89,type,
uSubst716837505ntialo: option_trm > option_trm ).
thf(func_def_90,type,
uSubst2051024824lo_rel: option_trm > option_trm > $o ).
thf(func_def_91,type,
uSubst152838031e_Geqo: option_trm > option_trm > option_fml ).
thf(func_def_92,type,
uSubst1304144938qo_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_93,type,
uSubst1827052306e_ODEo: char > option_trm > option_game ).
thf(func_def_94,type,
uSubst299938919Eo_rel: produc464795408on_trm > produc464795408on_trm > $o ).
thf(func_def_95,type,
uSubst141955042_Pluso: option_trm > option_trm > option_trm ).
thf(func_def_96,type,
uSubst691094423so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_97,type,
uSubst1367128042_Testo: option_fml > option_game ).
thf(func_def_98,type,
uSubst954181007to_rel: option_fml > option_fml > $o ).
thf(func_def_99,type,
uSubst918876924Timeso: option_trm > option_trm > option_trm ).
thf(func_def_100,type,
uSubst924844285so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_101,type,
uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
thf(func_def_102,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf(func_def_103,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(func_def_104,type,
uSubst1917534215pt_rel: produc1699626005le_trm > produc1699626005le_trm > $o ).
thf(func_def_105,type,
accp_option_fml: ( option_fml > option_fml > $o ) > option_fml > $o ).
thf(func_def_106,type,
accp_option_trm: ( option_trm > option_trm > $o ) > option_trm > $o ).
thf(func_def_107,type,
accp_P758790320on_trm: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm > $o ).
thf(func_def_108,type,
accp_P1877119646le_trm: ( produc1699626005le_trm > produc1699626005le_trm > $o ) > produc1699626005le_trm > $o ).
thf(func_def_109,type,
accp_P419951815on_trm: ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm > $o ).
thf(func_def_110,type,
accp_P394694195on_trm: ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm > $o ).
thf(func_def_111,type,
lex_pr314879023on_fml: set_Pr927595527on_fml > set_Pr927595527on_fml > set_Pr1045337287on_fml ).
thf(func_def_112,type,
lex_pr852623737on_trm: set_Pr927595527on_fml > set_Pr1471344007on_trm > set_Pr1588097095on_trm ).
thf(func_def_113,type,
lex_pr425996582on_fml: set_Pr1625152599n_game > set_Pr927595527on_fml > set_Pr1918373977on_fml ).
thf(func_def_114,type,
lex_pr1724583269on_fml: set_Pr1471344007on_trm > set_Pr927595527on_fml > set_Pr519625031on_fml ).
thf(func_def_115,type,
lex_pr114844335on_trm: set_Pr1471344007on_trm > set_Pr1471344007on_trm > set_Pr1062384839on_trm ).
thf(func_def_116,type,
lex_pr1522821402le_trm: set_Pr181266295riable > set_Pr491793543rm_trm > set_Pr1969262145le_trm ).
thf(func_def_117,type,
lex_pr1901327402on_trm: set_Pr604539619r_char > set_Pr1471344007on_trm > set_Pr1481565921on_trm ).
thf(func_def_118,type,
member1287158352on_fml: produc46605351on_fml > set_Pr927595527on_fml > $o ).
thf(func_def_119,type,
member1883102883on_fml: produc1739631244on_fml > set_Pr622314946on_fml > $o ).
thf(func_def_120,type,
member191809696n_game: produc1016592119n_game > set_Pr1625152599n_game > $o ).
thf(func_def_121,type,
member165817296on_trm: produc1072747943on_trm > set_Pr1471344007on_trm > $o ).
thf(func_def_122,type,
member450497296on_fml: produc1872652007on_fml > set_Pr1045337287on_fml > $o ).
thf(func_def_123,type,
member1883874960on_trm: produc1158546023on_trm > set_Pr1588097095on_trm > $o ).
thf(func_def_124,type,
member113767842on_fml: produc1928189433on_fml > set_Pr1918373977on_fml > $o ).
thf(func_def_125,type,
member1316917136on_fml: produc591588199on_fml > set_Pr519625031on_fml > $o ).
thf(func_def_126,type,
member602811152on_trm: produc2024965863on_trm > set_Pr1062384839on_trm > $o ).
thf(func_def_127,type,
member1150310282le_trm: produc1279577057le_trm > set_Pr1969262145le_trm > $o ).
thf(func_def_128,type,
member1950256170on_trm: produc2018724225on_trm > set_Pr1481565921on_trm > $o ).
thf(func_def_129,type,
member1978718144riable: produc432717079riable > set_Pr181266295riable > $o ).
thf(func_def_130,type,
member2122665623le_trm: produc1367888000le_trm > set_Pr1235432374le_trm > $o ).
thf(func_def_131,type,
member694524327on_trm: produc464795408on_trm > set_Pr943832262on_trm > $o ).
thf(func_def_132,type,
member1866856748r_char: produc1593312387r_char > set_Pr604539619r_char > $o ).
thf(func_def_133,type,
member1735386832rm_trm: product_prod_trm_trm > set_Pr491793543rm_trm > $o ).
thf(func_def_134,type,
member_char: char > set_char > $o ).
thf(func_def_135,type,
member_variable: variable > set_variable > $o ).
thf(func_def_136,type,
u: set_variable ).
thf(func_def_137,type,
ua: set_variable ).
thf(func_def_138,type,
eta: trm ).
thf(func_def_139,type,
nu: variable > real ).
thf(func_def_140,type,
nu2: variable > real ).
thf(func_def_141,type,
omega: variable > real ).
thf(func_def_142,type,
omega2: variable > real ).
thf(func_def_143,type,
sigma: produc1418842292n_game ).
thf(func_def_144,type,
theta: trm ).
thf(func_def_148,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_149,type,
vOR: $o > $o > $o ).
thf(func_def_150,type,
vAND: $o > $o > $o ).
thf(func_def_151,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_152,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_153,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_156,type,
vIMP: $o > $o > $o ).
thf(func_def_157,type,
vNOT: $o > $o ).
thf(func_def_158,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_159,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_160,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_161,type,
sP0: option_trm > option_trm > option_trm > $o ).
thf(func_def_162,type,
sP1: option_trm > option_trm > option_trm > $o ).
thf(func_def_163,type,
sP2: ( option_trm > option_trm > $o ) > option_trm > option_trm > $o ).
thf(func_def_164,type,
sP3: ( option_trm > option_fml > $o ) > option_trm > option_fml > $o ).
thf(func_def_165,type,
sP4: ( option_trm > option_game > $o ) > option_trm > option_game > $o ).
thf(func_def_166,type,
sP5: ( option_fml > option_trm > $o ) > option_fml > option_trm > $o ).
thf(func_def_167,type,
sP6: ( option_fml > option_fml > $o ) > option_fml > option_fml > $o ).
thf(func_def_168,type,
sP7: ( option_fml > option_game > $o ) > option_fml > option_game > $o ).
thf(func_def_169,type,
sP8: ( option_game > option_trm > $o ) > option_game > option_trm > $o ).
thf(func_def_170,type,
sP9: ( option_game > option_fml > $o ) > option_game > option_fml > $o ).
thf(func_def_171,type,
sP10: ( option_game > option_game > $o ) > option_game > option_game > $o ).
thf(func_def_172,type,
sP11: option_trm > option_trm > option_fml > $o ).
thf(func_def_173,type,
sP12: option_trm > option_trm > $o ).
thf(func_def_174,type,
sP13: ( produc1024976764on_trm > produc1024976764on_trm > $o ) > ( produc1024976764on_trm > $o ) > $o ).
thf(func_def_175,type,
sP14: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > ( produc1072747943on_trm > $o ) > $o ).
thf(func_def_176,type,
sP15: ( produc464795408on_trm > produc464795408on_trm > $o ) > ( produc464795408on_trm > $o ) > $o ).
thf(func_def_177,type,
sP16: ( option_trm > option_trm > $o ) > ( option_trm > $o ) > $o ).
thf(func_def_178,type,
sP17: ( option_fml > option_fml > $o ) > ( option_fml > $o ) > $o ).
thf(func_def_179,type,
sP18: option_trm > option_trm > option_fml > $o ).
thf(func_def_180,type,
sP19: option_trm > option_trm > option_fml > $o ).
thf(func_def_181,type,
sP20: option_trm > option_trm > option_trm > $o ).
thf(func_def_182,type,
sP21: option_trm > option_trm > option_trm > $o ).
thf(func_def_183,type,
sP22: option_trm > option_trm > option_trm > $o ).
thf(func_def_184,type,
sP23: option_trm > option_trm > option_trm > $o ).
thf(func_def_185,type,
sP24: ( trm > $o ) > $o ).
thf(func_def_186,type,
sP25: ( trm > $o ) > $o ).
thf(func_def_187,type,
sP26: ( denotational_interp > trm > $o ) > $o ).
thf(func_def_188,type,
sP27: ( denotational_interp > trm > $o ) > $o ).
thf(func_def_189,type,
sP28: option_fml > option_game > $o ).
thf(func_def_190,type,
sP29: option_trm > option_game > variable > $o ).
thf(func_def_191,type,
sP30: option_trm > option_game > char > $o ).
thf(func_def_192,type,
sK31: set_char > set_char > char ).
thf(func_def_193,type,
sK32: set_variable > set_variable > variable ).
thf(func_def_194,type,
sK33: ( variable > $o ) > ( variable > $o ) > variable ).
thf(func_def_195,type,
sK34: ( char > $o ) > ( char > $o ) > char ).
thf(func_def_196,type,
sK35: ( set_variable > set_variable ) > set_variable ).
thf(func_def_197,type,
sK36: ( set_variable > set_variable ) > set_variable ).
thf(func_def_198,type,
sK37: ( set_variable > set_variable ) > set_variable ).
thf(func_def_199,type,
sK38: ( set_variable > set_variable ) > set_variable ).
thf(func_def_200,type,
sK39: ( set_variable > set_variable ) > set_variable ).
thf(func_def_201,type,
sK40: ( set_variable > set_variable ) > set_variable ).
thf(func_def_202,type,
sK41: ( set_variable > set_variable ) > set_variable ).
thf(func_def_203,type,
sK42: ( set_variable > set_variable ) > set_variable ).
thf(func_def_204,type,
sK43: ( char > $o ) > ( char > $o ) > char ).
thf(func_def_205,type,
sK44: ( variable > $o ) > ( variable > $o ) > variable ).
thf(func_def_206,type,
sK45: ( char > $o ) > ( char > $o ) > set_char > char ).
thf(func_def_207,type,
sK46: ( variable > $o ) > ( variable > $o ) > set_variable > variable ).
thf(func_def_208,type,
sK47: option_trm > option_trm > option_trm > trm ).
thf(func_def_209,type,
sK48: option_trm > option_trm > option_trm > trm ).
thf(func_def_210,type,
sK49: option_trm > trm ).
thf(func_def_211,type,
sK50: option_trm > option_trm > option_trm > trm ).
thf(func_def_212,type,
sK51: option_trm > option_trm > option_trm > trm ).
thf(func_def_213,type,
sK52: option_trm > trm ).
thf(func_def_214,type,
sK53: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_215,type,
sK54: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_216,type,
sK55: ( option_trm > option_fml > $o ) > option_trm > option_fml > trm ).
thf(func_def_217,type,
sK56: ( option_trm > option_fml > $o ) > option_trm > option_fml > fml ).
thf(func_def_218,type,
sK57: ( option_trm > option_game > $o ) > option_trm > option_game > trm ).
thf(func_def_219,type,
sK58: ( option_trm > option_game > $o ) > option_trm > option_game > game ).
thf(func_def_220,type,
sK59: ( option_fml > option_trm > $o ) > option_fml > option_trm > fml ).
thf(func_def_221,type,
sK60: ( option_fml > option_trm > $o ) > option_fml > option_trm > trm ).
thf(func_def_222,type,
sK61: ( option_fml > option_fml > $o ) > option_fml > option_fml > fml ).
thf(func_def_223,type,
sK62: ( option_fml > option_fml > $o ) > option_fml > option_fml > fml ).
thf(func_def_224,type,
sK63: ( option_fml > option_game > $o ) > option_fml > option_game > fml ).
thf(func_def_225,type,
sK64: ( option_fml > option_game > $o ) > option_fml > option_game > game ).
thf(func_def_226,type,
sK65: ( option_game > option_trm > $o ) > option_game > option_trm > game ).
thf(func_def_227,type,
sK66: ( option_game > option_trm > $o ) > option_game > option_trm > trm ).
thf(func_def_228,type,
sK67: ( option_game > option_fml > $o ) > option_game > option_fml > game ).
thf(func_def_229,type,
sK68: ( option_game > option_fml > $o ) > option_game > option_fml > fml ).
thf(func_def_230,type,
sK69: ( option_game > option_game > $o ) > option_game > option_game > game ).
thf(func_def_231,type,
sK70: ( option_game > option_game > $o ) > option_game > option_game > game ).
thf(func_def_232,type,
sK71: ( option_trm > $o ) > trm ).
thf(func_def_233,type,
sK72: ( option_fml > $o ) > fml ).
thf(func_def_234,type,
sK73: ( option_game > $o ) > game ).
thf(func_def_235,type,
sK74: option_trm > trm ).
thf(func_def_236,type,
sK75: option_fml > fml ).
thf(func_def_237,type,
sK76: option_game > game ).
thf(func_def_238,type,
sK77: ( option_trm > $o ) > trm ).
thf(func_def_239,type,
sK78: option_trm > trm ).
thf(func_def_240,type,
sK79: ( variable > option_trm > $o ) > variable ).
thf(func_def_241,type,
sK80: ( variable > option_trm > $o ) > variable ).
thf(func_def_242,type,
sK81: ( variable > option_trm > $o ) > trm ).
thf(func_def_243,type,
sK82: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_244,type,
sK83: ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_245,type,
sK84: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_246,type,
sK85: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_247,type,
sK86: ( char > option_trm > $o ) > char ).
thf(func_def_248,type,
sK87: ( char > option_trm > $o ) > char ).
thf(func_def_249,type,
sK88: ( char > option_trm > $o ) > trm ).
thf(func_def_250,type,
sK89: option_trm > option_trm > trm ).
thf(func_def_251,type,
sK90: option_trm > option_trm > option_fml > trm ).
thf(func_def_252,type,
sK91: option_trm > option_trm > option_fml > trm ).
thf(func_def_253,type,
sK92: option_trm > trm ).
thf(func_def_254,type,
sK93: option_trm > option_trm > trm ).
thf(func_def_255,type,
sK94: ( set_variable > $o ) > ( set_variable > $o ) > set_variable ).
thf(func_def_256,type,
sK95: set_variable > ( set_variable > $o ) > set_variable ).
thf(func_def_257,type,
sK96: set_variable > ( set_variable > $o ) > set_variable ).
thf(func_def_258,type,
sK97: ( option_game > option_fml > $o ) > game ).
thf(func_def_259,type,
sK98: ( option_game > option_fml > $o ) > option_fml ).
thf(func_def_260,type,
sK99: ( option_game > option_fml > $o ) > game ).
thf(func_def_261,type,
sK100: ( option_game > option_fml > $o ) > fml ).
thf(func_def_262,type,
sK101: ( variable > option_fml > $o ) > variable ).
thf(func_def_263,type,
sK102: ( variable > option_fml > $o ) > variable ).
thf(func_def_264,type,
sK103: ( variable > option_fml > $o ) > fml ).
thf(func_def_265,type,
sK104: ( option_fml > $o ) > fml ).
thf(func_def_266,type,
sK105: option_fml > fml ).
thf(func_def_267,type,
sK106: ( option_fml > option_fml > $o ) > fml ).
thf(func_def_268,type,
sK107: ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_269,type,
sK108: ( option_fml > option_fml > $o ) > fml ).
thf(func_def_270,type,
sK109: ( option_fml > option_fml > $o ) > fml ).
thf(func_def_271,type,
sK110: ( produc1024976764on_trm > produc1024976764on_trm > $o ) > ( produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_272,type,
sK111: ( produc1024976764on_trm > produc1024976764on_trm > $o ) > ( produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_273,type,
sK112: ( produc1024976764on_trm > $o ) > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > ( produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_274,type,
sK113: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > ( produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_275,type,
sK114: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > ( produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_276,type,
sK115: ( produc1072747943on_trm > $o ) > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > ( produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_277,type,
sK116: ( produc464795408on_trm > produc464795408on_trm > $o ) > ( produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_278,type,
sK117: ( produc464795408on_trm > produc464795408on_trm > $o ) > ( produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_279,type,
sK118: ( produc464795408on_trm > $o ) > ( produc464795408on_trm > produc464795408on_trm > $o ) > ( produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_280,type,
sK119: ( option_trm > option_trm > $o ) > ( option_trm > $o ) > option_trm ).
thf(func_def_281,type,
sK120: ( option_trm > option_trm > $o ) > ( option_trm > $o ) > option_trm ).
thf(func_def_282,type,
sK121: ( option_trm > $o ) > ( option_trm > option_trm > $o ) > ( option_trm > $o ) > option_trm ).
thf(func_def_283,type,
sK122: ( option_fml > option_fml > $o ) > ( option_fml > $o ) > option_fml ).
thf(func_def_284,type,
sK123: ( option_fml > option_fml > $o ) > ( option_fml > $o ) > option_fml ).
thf(func_def_285,type,
sK124: ( option_fml > $o ) > ( option_fml > option_fml > $o ) > ( option_fml > $o ) > option_fml ).
thf(func_def_286,type,
sK125: ( option_game > option_game > $o ) > game ).
thf(func_def_287,type,
sK126: ( option_game > option_game > $o ) > option_game ).
thf(func_def_288,type,
sK127: ( option_game > option_game > $o ) > game ).
thf(func_def_289,type,
sK128: ( option_game > option_game > $o ) > game ).
thf(func_def_290,type,
sK129: ( option_game > $o ) > game ).
thf(func_def_291,type,
sK130: option_game > game ).
thf(func_def_292,type,
sK131: produc1024976764on_trm > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_293,type,
sK132: produc1072747943on_trm > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_294,type,
sK133: produc464795408on_trm > ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_295,type,
sK134: option_trm > ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_296,type,
sK135: option_fml > ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_297,type,
sK136: ( produc1024976764on_trm > $o ) > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_298,type,
sK137: ( produc1072747943on_trm > $o ) > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_299,type,
sK138: ( produc464795408on_trm > $o ) > ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_300,type,
sK139: ( option_trm > $o ) > ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_301,type,
sK140: ( option_fml > $o ) > ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_302,type,
sK141: ( produc1024976764on_trm > $o ) > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_303,type,
sK142: ( produc1072747943on_trm > $o ) > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_304,type,
sK143: ( produc464795408on_trm > $o ) > ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_305,type,
sK144: ( option_trm > $o ) > ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_306,type,
sK145: ( option_fml > $o ) > ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_307,type,
sK146: produc1024976764on_trm > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_308,type,
sK147: produc1072747943on_trm > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_309,type,
sK148: produc464795408on_trm > ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_310,type,
sK149: option_trm > ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_311,type,
sK150: option_fml > ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_312,type,
sK151: ( produc1024976764on_trm > $o ) > ( produc1024976764on_trm > produc1024976764on_trm > $o ) > produc1024976764on_trm ).
thf(func_def_313,type,
sK152: ( produc1072747943on_trm > $o ) > ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm ).
thf(func_def_314,type,
sK153: ( produc464795408on_trm > $o ) > ( produc464795408on_trm > produc464795408on_trm > $o ) > produc464795408on_trm ).
thf(func_def_315,type,
sK154: ( option_trm > $o ) > ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_316,type,
sK155: ( option_fml > $o ) > ( option_fml > option_fml > $o ) > option_fml ).
thf(func_def_317,type,
sK156: option_trm > option_trm > option_fml > trm ).
thf(func_def_318,type,
sK157: option_trm > option_trm > option_fml > trm ).
thf(func_def_319,type,
sK158: option_trm > option_trm > option_fml > trm ).
thf(func_def_320,type,
sK159: produc1739631244on_fml > game ).
thf(func_def_321,type,
sK160: produc1739631244on_fml > option_fml ).
thf(func_def_322,type,
sK161: produc1739631244on_fml > game ).
thf(func_def_323,type,
sK162: produc1739631244on_fml > fml ).
thf(func_def_324,type,
sK163: set_Pr622314946on_fml > set_Pr622314946on_fml > option_game ).
thf(func_def_325,type,
sK164: set_Pr622314946on_fml > set_Pr622314946on_fml > option_fml ).
thf(func_def_326,type,
sK165: set_Pr1471344007on_trm > set_Pr1471344007on_trm > option_trm ).
thf(func_def_327,type,
sK166: set_Pr1471344007on_trm > set_Pr1471344007on_trm > option_trm ).
thf(func_def_328,type,
sK167: set_Pr927595527on_fml > set_Pr927595527on_fml > option_fml ).
thf(func_def_329,type,
sK168: set_Pr927595527on_fml > set_Pr927595527on_fml > option_fml ).
thf(func_def_330,type,
sK169: set_Pr943832262on_trm > set_Pr943832262on_trm > char ).
thf(func_def_331,type,
sK170: set_Pr943832262on_trm > set_Pr943832262on_trm > option_trm ).
thf(func_def_332,type,
sK171: set_Pr1235432374le_trm > set_Pr1235432374le_trm > set_variable ).
thf(func_def_333,type,
sK172: set_Pr1235432374le_trm > set_Pr1235432374le_trm > trm ).
thf(func_def_334,type,
sK173: produc1072747943on_trm > trm ).
thf(func_def_335,type,
sK174: produc1072747943on_trm > option_trm ).
thf(func_def_336,type,
sK175: produc1072747943on_trm > trm ).
thf(func_def_337,type,
sK176: produc1072747943on_trm > trm ).
thf(func_def_338,type,
sK177: option_trm > ( trm > $o ) > trm ).
thf(func_def_339,type,
sK178: option_fml > ( fml > $o ) > fml ).
thf(func_def_340,type,
sK179: option_game > ( game > $o ) > game ).
thf(func_def_341,type,
sK180: option_trm > option_trm > option_trm > trm ).
thf(func_def_342,type,
sK181: option_trm > option_trm > option_trm > trm ).
thf(func_def_343,type,
sK182: option_trm > option_trm > option_trm > trm ).
thf(func_def_344,type,
sK183: option_trm > option_trm > option_trm > trm ).
thf(func_def_345,type,
sK184: option_trm > option_trm > option_trm > trm ).
thf(func_def_346,type,
sK185: option_trm > option_trm > option_trm > trm ).
thf(func_def_347,type,
sK186: produc464795408on_trm > char ).
thf(func_def_348,type,
sK187: produc464795408on_trm > char ).
thf(func_def_349,type,
sK188: produc464795408on_trm > trm ).
thf(func_def_350,type,
sK189: produc1024976764on_trm > variable ).
thf(func_def_351,type,
sK190: produc1024976764on_trm > variable ).
thf(func_def_352,type,
sK191: produc1024976764on_trm > trm ).
thf(func_def_353,type,
sK192: produc1016592119n_game > game ).
thf(func_def_354,type,
sK193: produc1016592119n_game > option_game ).
thf(func_def_355,type,
sK194: produc1016592119n_game > game ).
thf(func_def_356,type,
sK195: produc1016592119n_game > game ).
thf(func_def_357,type,
sK196: produc1408538418on_fml > variable ).
thf(func_def_358,type,
sK197: produc1408538418on_fml > variable ).
thf(func_def_359,type,
sK198: produc1408538418on_fml > fml ).
thf(func_def_360,type,
sK199: produc46605351on_fml > fml ).
thf(func_def_361,type,
sK200: produc46605351on_fml > option_fml ).
thf(func_def_362,type,
sK201: produc46605351on_fml > fml ).
thf(func_def_363,type,
sK202: produc46605351on_fml > fml ).
thf(func_def_364,type,
sK203: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_365,type,
sK204: produc1699626005le_trm > set_variable ).
thf(func_def_366,type,
sK205: produc1699626005le_trm > trm ).
thf(func_def_367,type,
sK206: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_368,type,
sK207: produc1699626005le_trm > set_variable ).
thf(func_def_369,type,
sK208: produc1699626005le_trm > trm ).
thf(func_def_370,type,
sK209: produc1699626005le_trm > trm ).
thf(func_def_371,type,
sK210: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_372,type,
sK211: produc1699626005le_trm > set_variable ).
thf(func_def_373,type,
sK212: produc1699626005le_trm > trm ).
thf(func_def_374,type,
sK213: produc1699626005le_trm > trm ).
thf(func_def_375,type,
sK214: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_376,type,
sK215: produc1699626005le_trm > set_variable ).
thf(func_def_377,type,
sK216: produc1699626005le_trm > char ).
thf(func_def_378,type,
sK217: produc1699626005le_trm > trm ).
thf(func_def_379,type,
sK218: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_380,type,
sK219: produc1699626005le_trm > set_variable ).
thf(func_def_381,type,
sK220: produc1699626005le_trm > char ).
thf(func_def_382,type,
sK221: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_383,type,
sK222: produc1699626005le_trm > set_variable ).
thf(func_def_384,type,
sK223: produc1699626005le_trm > real ).
thf(func_def_385,type,
sK224: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_386,type,
sK225: produc1699626005le_trm > set_variable ).
thf(func_def_387,type,
sK226: produc1699626005le_trm > variable ).
thf(func_def_388,type,
sK227: ( trm > $o ) > trm ).
thf(func_def_389,type,
sK228: ( trm > $o ) > trm ).
thf(func_def_390,type,
sK229: ( trm > $o ) > trm ).
thf(func_def_391,type,
sK230: ( trm > $o ) > trm ).
thf(func_def_392,type,
sK231: ( trm > $o ) > trm ).
thf(func_def_393,type,
sK232: ( trm > $o ) > char ).
thf(func_def_394,type,
sK233: ( trm > $o ) > trm ).
thf(func_def_395,type,
sK234: ( trm > $o ) > char ).
thf(func_def_396,type,
sK235: ( trm > $o ) > real ).
thf(func_def_397,type,
sK236: ( trm > $o ) > variable ).
thf(func_def_398,type,
sK237: trm > trm ).
thf(func_def_399,type,
sK238: trm > trm ).
thf(func_def_400,type,
sK239: trm > trm ).
thf(func_def_401,type,
sK240: trm > trm ).
thf(func_def_402,type,
sK241: trm > trm ).
thf(func_def_403,type,
sK242: trm > char ).
thf(func_def_404,type,
sK243: trm > trm ).
thf(func_def_405,type,
sK244: trm > char ).
thf(func_def_406,type,
sK245: trm > real ).
thf(func_def_407,type,
sK246: trm > variable ).
thf(func_def_408,type,
sK247: produc833882726rp_trm > denotational_interp ).
thf(func_def_409,type,
sK248: produc833882726rp_trm > trm ).
thf(func_def_410,type,
sK249: produc833882726rp_trm > denotational_interp ).
thf(func_def_411,type,
sK250: produc833882726rp_trm > trm ).
thf(func_def_412,type,
sK251: produc833882726rp_trm > trm ).
thf(func_def_413,type,
sK252: produc833882726rp_trm > denotational_interp ).
thf(func_def_414,type,
sK253: produc833882726rp_trm > trm ).
thf(func_def_415,type,
sK254: produc833882726rp_trm > trm ).
thf(func_def_416,type,
sK255: produc833882726rp_trm > denotational_interp ).
thf(func_def_417,type,
sK256: produc833882726rp_trm > char ).
thf(func_def_418,type,
sK257: produc833882726rp_trm > trm ).
thf(func_def_419,type,
sK258: produc833882726rp_trm > denotational_interp ).
thf(func_def_420,type,
sK259: produc833882726rp_trm > char ).
thf(func_def_421,type,
sK260: produc833882726rp_trm > denotational_interp ).
thf(func_def_422,type,
sK261: produc833882726rp_trm > real ).
thf(func_def_423,type,
sK262: produc833882726rp_trm > denotational_interp ).
thf(func_def_424,type,
sK263: produc833882726rp_trm > variable ).
thf(func_def_425,type,
sK264: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_426,type,
sK265: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_427,type,
sK266: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_428,type,
sK267: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_429,type,
sK268: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_430,type,
sK269: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_431,type,
sK270: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_432,type,
sK271: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_433,type,
sK272: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_434,type,
sK273: ( denotational_interp > trm > $o ) > char ).
thf(func_def_435,type,
sK274: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_436,type,
sK275: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_437,type,
sK276: ( denotational_interp > trm > $o ) > char ).
thf(func_def_438,type,
sK277: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_439,type,
sK278: ( denotational_interp > trm > $o ) > real ).
thf(func_def_440,type,
sK279: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_441,type,
sK280: ( denotational_interp > trm > $o ) > variable ).
thf(func_def_442,type,
sK281: option_game > option_fml > fml ).
thf(func_def_443,type,
sK282: option_fml > option_game > fml ).
thf(func_def_444,type,
sK283: option_game > option_trm > variable > trm ).
thf(func_def_445,type,
sK284: option_trm > option_game > variable > trm ).
thf(func_def_446,type,
sK285: option_game > option_trm > char > trm ).
thf(func_def_447,type,
sK286: option_trm > option_game > char > trm ).
thf(func_def_448,type,
sK287: option_game > game ).
thf(func_def_449,type,
sK288: option_fml > fml ).
thf(func_def_450,type,
sK289: option_trm > trm ).
thf(func_def_451,type,
sK290: option_game > game ).
thf(func_def_452,type,
sK291: option_fml > fml ).
thf(func_def_453,type,
sK292: option_trm > trm ).
thf(func_def_454,type,
sK293: option_game > game ).
thf(func_def_455,type,
sK294: option_fml > fml ).
thf(func_def_456,type,
sK295: option_trm > trm ).
thf(func_def_457,type,
sK296: set_variable > ( variable > $o ) > variable ).
thf(func_def_458,type,
sK297: set_char > ( char > $o ) > char ).
thf(func_def_459,type,
sK298: ( variable > real ) > ( variable > real ) > set_variable > variable ).
thf(func_def_460,type,
sK299: ( variable > $o ) > ( variable > $o ) > variable ).
thf(func_def_461,type,
sK300: ( char > $o ) > ( char > $o ) > char ).
thf(func_def_462,type,
sK301: ( variable > real ) > set_variable > ( variable > real ) > variable ).
thf(f2,axiom,
! [X0: produc1418842292n_game,X1: set_variable,X2: trm,X3: trm] :
( ( ( uSubst516392804stappf @ X0 @ X1 @ ( geq @ X2 @ X3 ) )
!= none_fml )
=> ( ( ( uSubst516392818stappt @ X0 @ X1 @ X3 )
!= none_trm )
& ( ( uSubst516392818stappt @ X0 @ X1 @ X2 )
!= none_trm ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_usubstappf__geq__conv) ).
thf(f3,axiom,
( ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) )
!= none_fml ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Geq_Oprems_I1_J) ).
thf(f353,conjecture,
( ( uSubst516392818stappt @ sigma @ ua @ theta )
!= none_trm ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( ( ( uSubst516392818stappt @ sigma @ ua @ theta )
!= none_trm ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f856,plain,
( none_trm
= ( uSubst516392818stappt @ sigma @ ua @ theta ) ),
inference(flattening,[],[f354]) ).
thf(f857,plain,
! [X0: produc1418842292n_game,X1: set_variable,X2: trm,X3: trm] :
( ( ( ( uSubst516392818stappt @ X0 @ X1 @ X3 )
!= none_trm )
& ( ( uSubst516392818stappt @ X0 @ X1 @ X2 )
!= none_trm ) )
| ( ( uSubst516392804stappf @ X0 @ X1 @ ( geq @ X2 @ X3 ) )
= none_fml ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f1441,plain,
! [X2: trm,X3: trm,X0: produc1418842292n_game,X1: set_variable] :
( ( ( uSubst516392818stappt @ X0 @ X1 @ X2 )
!= none_trm )
| ( ( uSubst516392804stappf @ X0 @ X1 @ ( geq @ X2 @ X3 ) )
= none_fml ) ),
inference(cnf_transformation,[],[f857]) ).
thf(f1443,plain,
( none_fml
!= ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ eta ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f2057,plain,
( none_trm
= ( uSubst516392818stappt @ sigma @ ua @ theta ) ),
inference(cnf_transformation,[],[f856]) ).
thf(f16966,plain,
! [X0: trm] :
( ( none_trm != none_trm )
| ( none_fml
= ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ X0 ) ) ) ),
inference(constrained_superposition,[],[f1441,f2057]) ).
thf(f16970,plain,
! [X0: trm] :
( none_fml
= ( uSubst516392804stappf @ sigma @ ua @ ( geq @ theta @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f16966]) ).
thf(f16976,plain,
$false,
inference(backward_subsumption_resolution,[],[f1443,f16970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP200^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.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 20:10:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.44/1.12 % (1782907)Will run a generic schedule for satisfiability detection.
% 5.44/1.12 % (1782916)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2689639644:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.44/1.12 % (1782913)% WARNING: option uhcvi not known.
% 5.44/1.12 % (1782913)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1855922348:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.44/1.12 % (1782914)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3953722287:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.44/1.12 % (1782915)dis+10_1_sil=32000:sp=arity:random_seed=1538848976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.44/1.12 % (1782916)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.44/1.12 % (1782917)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1431213257:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.44/1.12 % (1782918)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3678559336:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.44/1.12 % (1782912)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3042593196_2999 on theBenchmark for (2999ds/0Mi)
% 5.44/1.12 % (1782916)Instruction limit reached!
% 5.44/1.12 % (1782916)------------------------------
% 5.44/1.12 % (1782916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1782916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1782916)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1782916)Termination reason: Instruction limit
% 5.44/1.12 % (1782916)Termination phase: Property scanning
% 5.44/1.12 % (1782916)Time elapsed: 0.027 s
% 5.44/1.12 % (1782916)Peak memory usage: 12 MB
% 5.44/1.12 % (1782916)Instructions burned: 117 (million)
% 5.44/1.12 % (1782913)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.44/1.12 % (1782925)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1257888229:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.44/1.12 % (1782915)Instruction limit reached!
% 5.44/1.12 % (1782915)------------------------------
% 5.44/1.12 % (1782915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1782915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1782915)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1782915)Termination reason: Instruction limit
% 5.44/1.12 % (1782915)Termination phase: Property scanning
% 5.44/1.12 % (1782915)Time elapsed: 0.045 s
% 5.44/1.12 % (1782915)Peak memory usage: 12 MB
% 5.44/1.12 % (1782915)Instructions burned: 105 (million)
% 5.44/1.12 % (1782913)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.44/1.12 % Exception at run slice level
% 5.44/1.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.44/1.12 % (1782928)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=104817364:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.44/1.12 % (1782929)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1872974611:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.44/1.12 % (1782929)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.44/1.12 % (1782929)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.44/1.12 % (1782917)Instruction limit reached!
% 5.44/1.12 % (1782917)------------------------------
% 5.44/1.12 % (1782917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1782917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (1782917)CaDiCaL version: 2.1.3
% 5.44/1.12 % (1782917)Termination reason: Instruction limit
% 5.44/1.12 % (1782917)Termination phase: Property scanning
% 5.44/1.12 % (1782917)Time elapsed: 0.106 s
% 5.44/1.12 % (1782917)Peak memory usage: 12 MB
% 5.44/1.12 % (1782917)Instructions burned: 132 (million)
% 5.44/1.12 % (1782928)Instruction limit reached!
% 5.44/1.12 % (1782928)------------------------------
% 5.44/1.12 % (1782928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (1782928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782928)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782928)Termination reason: Instruction limit
% 7.12/1.34 % (1782928)Termination phase: Property scanning
% 7.12/1.34 % (1782928)Time elapsed: 0.055 s
% 7.12/1.34 % (1782928)Peak memory usage: 12 MB
% 7.12/1.34 % (1782928)Instructions burned: 131 (million)
% 7.12/1.34 % (1782918)Instruction limit reached!
% 7.12/1.34 % (1782918)------------------------------
% 7.12/1.34 % (1782918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782918)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782918)Termination reason: Instruction limit
% 7.12/1.34 % (1782918)Termination phase: Saturation
% 7.12/1.34 % (1782918)Time elapsed: 0.105 s
% 7.12/1.34 % (1782918)Peak memory usage: 13 MB
% 7.12/1.34 % (1782918)Instructions burned: 159 (million)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782933)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3407486387:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.12/1.34 % (1782932)ott-21_1_sil=16000:fs=off:random_seed=2908033291:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.12/1.34 % (1782934)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=339143353:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.12/1.34 % (1782935)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4140334861:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.12/1.34 % (1782932)Instruction limit reached!
% 7.12/1.34 % (1782932)------------------------------
% 7.12/1.34 % (1782932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782932)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782932)Termination reason: Instruction limit
% 7.12/1.34 % (1782932)Termination phase: Saturation
% 7.12/1.34 % (1782932)Time elapsed: 0.077 s
% 7.12/1.34 % (1782932)Peak memory usage: 13 MB
% 7.12/1.34 % (1782932)Instructions burned: 180 (million)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782929)Instruction limit reached!
% 7.12/1.34 % (1782929)------------------------------
% 7.12/1.34 % (1782929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782929)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782929)Termination reason: Instruction limit
% 7.12/1.34 % (1782929)Termination phase: Saturation
% 7.12/1.34 % (1782929)Time elapsed: 0.157 s
% 7.12/1.34 % (1782929)Peak memory usage: 15 MB
% 7.12/1.34 % (1782929)Instructions burned: 684 (million)
% 7.12/1.34 % (1782940)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2408072713:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.12/1.34 % (1782941)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4292350330:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.12/1.34 % (1782942)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1715893919:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.12/1.34 % (1782942)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.34 % (1782941)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782946)fmb+10_1_sil=64000:random_seed=1793689464:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 7.12/1.34 % (1782946)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782948)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4109346310:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782951)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2348982772:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 7.12/1.34 % (1782942)Instruction limit reached!
% 7.12/1.34 % (1782942)------------------------------
% 7.12/1.34 % (1782942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782942)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782942)Termination reason: Instruction limit
% 7.12/1.34 % (1782942)Termination phase: Saturation
% 7.12/1.34 % (1782942)Time elapsed: 0.274 s
% 7.12/1.34 % (1782942)Peak memory usage: 21 MB
% 7.12/1.34 % (1782942)Instructions burned: 879 (million)
% 7.12/1.34 % (1782941)Instruction limit reached!
% 7.12/1.34 % (1782941)------------------------------
% 7.12/1.34 % (1782941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782941)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782941)Termination reason: Instruction limit
% 7.12/1.34 % (1782941)Termination phase: Saturation
% 7.12/1.34 % (1782941)Time elapsed: 0.283 s
% 7.12/1.34 % (1782941)Peak memory usage: 18 MB
% 7.12/1.34 % (1782941)Instructions burned: 693 (million)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782953)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=852198956:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 7.12/1.34 % (1782954)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=91035540:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 7.12/1.34 % (1782955)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1351156477:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.12/1.34 % (1782953)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.34 % (1782933)Instruction limit reached!
% 7.12/1.34 % (1782933)------------------------------
% 7.12/1.34 % (1782933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782933)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782933)Termination reason: Instruction limit
% 7.12/1.34 % (1782933)Termination phase: Saturation
% 7.12/1.34 % (1782933)Time elapsed: 0.425 s
% 7.12/1.34 % (1782933)Peak memory usage: 14 MB
% 7.12/1.34 % (1782933)Instructions burned: 477 (million)
% 7.12/1.34 % (1782954)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.12/1.34 % (1782954)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.12/1.34 % (1782959)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2637747736:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782961)ott-2_1_sil=16000:newcnf=on:random_seed=715219319:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 7.12/1.34 % (1782961)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.12/1.34 % (1782962)ott+10_1_sil=32000:tgt=ground:random_seed=119063342:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 7.12/1.34 % (1782935)Instruction limit reached!
% 7.12/1.34 % (1782935)------------------------------
% 7.12/1.34 % (1782935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782935)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782935)Termination reason: Instruction limit
% 7.12/1.34 % (1782935)Termination phase: Saturation
% 7.12/1.34 % (1782935)Time elapsed: 0.602 s
% 7.12/1.34 % (1782935)Peak memory usage: 22 MB
% 7.12/1.34 % (1782935)Instructions burned: 1181 (million)
% 7.12/1.34 % (1782965)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4201852415:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 7.12/1.34 % Exception at run slice level
% 7.12/1.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.12/1.34 % (1782967)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2807043538:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.12/1.34 % (1782967)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.12/1.34 % (1782913) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1782907-1782913"...
% 7.12/1.34 % (1782913)...printing done.
% 7.12/1.34 % (1782913)Refutation found. Thanks to Tanya!
% 7.12/1.34 % SZS status Theorem for theBenchmark
% 7.12/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 7.12/1.34 % (1782913)------------------------------
% 7.12/1.34 % (1782913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.34 % (1782913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.34 % (1782913)CaDiCaL version: 2.1.3
% 7.12/1.34 % (1782913)Termination reason: Refutation
% 7.12/1.34 % (1782913)Time elapsed: 1.061 s
% 7.12/1.34 % (1782913)Peak memory usage: 25 MB
% 7.12/1.34 % (1782913)Instructions burned: 2246 (million)
% 7.12/1.34 % (1782907)Success in time 1.109 s
% 7.12/1.34 % Vampire exiting
%------------------------------------------------------------------------------