%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP202^1 : 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 : n026.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 08:11:06 AM UTC 2026
% Result : Theorem 21.52s 3.33s
% Output : Refutation 21.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 75 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 228 ( 173 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1791 ( 38 ~; 32 |; 36 &;1661 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 31 ( 30 usr)
% Number of type conns : 765 ( 765 >; 0 *; 0 +; 0 <<)
% Number of symbols : 491 ( 489 usr; 13 con; 0-8 aty)
% Number of variables : 934 ( 922 ^; 12 !; 0 ?; 934 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1699626005le_trm: $tType ).
thf(type_def_6,type,
set_Pr720454634n_game: $tType ).
thf(type_def_7,type,
produc1418842292n_game: $tType ).
thf(type_def_8,type,
set_Pr739694057n_game: $tType ).
thf(type_def_9,type,
produc62062515n_game: $tType ).
thf(type_def_10,type,
set_Pr79606376n_game: $tType ).
thf(type_def_11,type,
produc799602994n_game: $tType ).
thf(type_def_12,type,
produc1016592119n_game: $tType ).
thf(type_def_13,type,
produc1739631244on_fml: $tType ).
thf(type_def_14,type,
produc1072747943on_trm: $tType ).
thf(type_def_15,type,
produc46605351on_fml: $tType ).
thf(type_def_16,type,
set_Pr943832262on_trm: $tType ).
thf(type_def_17,type,
set_Pr1235432374le_trm: $tType ).
thf(type_def_18,type,
produc1024976764on_trm: $tType ).
thf(type_def_19,type,
produc1408538418on_fml: $tType ).
thf(type_def_20,type,
produc464795408on_trm: $tType ).
thf(type_def_21,type,
produc833882726rp_trm: $tType ).
thf(type_def_22,type,
produc1367888000le_trm: $tType ).
thf(type_def_23,type,
option_game: $tType ).
thf(type_def_24,type,
option_trm: $tType ).
thf(type_def_25,type,
option_fml: $tType ).
thf(type_def_26,type,
denotational_interp: $tType ).
thf(type_def_27,type,
set_variable: $tType ).
thf(type_def_28,type,
set_char: $tType ).
thf(type_def_29,type,
variable: $tType ).
thf(type_def_30,type,
game: $tType ).
thf(type_def_31,type,
char: $tType ).
thf(type_def_32,type,
trm: $tType ).
thf(type_def_33,type,
fml: $tType ).
thf(type_def_34,type,
real: $tType ).
thf(type_def_35,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_option_trm: $o > option_trm > option_trm > option_trm ).
thf(func_def_1,type,
inf_in243546115game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( char > option_fml ) > ( char > option_game ) > $o ).
thf(func_def_2,type,
inf_in1072207554game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > ( ( char > option_trm ) > produc799602994n_game > $o ) > ( char > option_trm ) > produc799602994n_game > $o ).
thf(func_def_3,type,
inf_in1920662529game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > ( ( char > option_trm ) > produc62062515n_game > $o ) > ( char > option_trm ) > produc62062515n_game > $o ).
thf(func_def_4,type,
inf_in185389155_trm_o: ( set_variable > trm > $o ) > ( set_variable > trm > $o ) > set_variable > trm > $o ).
thf(func_def_5,type,
inf_in605351507_trm_o: ( char > option_trm > $o ) > ( char > option_trm > $o ) > char > option_trm > $o ).
thf(func_def_6,type,
inf_inf_char_o: ( char > $o ) > ( char > $o ) > char > $o ).
thf(func_def_7,type,
inf_inf_variable_o: ( variable > $o ) > ( variable > $o ) > variable > $o ).
thf(func_def_8,type,
inf_in1391117306n_game: set_Pr79606376n_game > set_Pr79606376n_game > set_Pr79606376n_game ).
thf(func_def_9,type,
inf_in69689467n_game: set_Pr739694057n_game > set_Pr739694057n_game > set_Pr739694057n_game ).
thf(func_def_10,type,
inf_in360367996n_game: set_Pr720454634n_game > set_Pr720454634n_game > set_Pr720454634n_game ).
thf(func_def_11,type,
inf_in906025800le_trm: set_Pr1235432374le_trm > set_Pr1235432374le_trm > set_Pr1235432374le_trm ).
thf(func_def_12,type,
inf_in1243659096on_trm: set_Pr943832262on_trm > set_Pr943832262on_trm > set_Pr943832262on_trm ).
thf(func_def_13,type,
inf_inf_set_char: set_char > set_char > set_char ).
thf(func_def_14,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(func_def_15,type,
combine_options_fml: ( fml > fml > fml ) > option_fml > option_fml > option_fml ).
thf(func_def_16,type,
combine_options_game: ( game > game > game ) > option_game > option_game > option_game ).
thf(func_def_17,type,
combine_options_trm: ( trm > trm > trm ) > option_trm > option_trm > option_trm ).
thf(func_def_18,type,
none_fml: option_fml ).
thf(func_def_19,type,
none_game: option_game ).
thf(func_def_20,type,
none_trm: option_trm ).
thf(func_def_21,type,
some_fml: fml > option_fml ).
thf(func_def_22,type,
some_game: game > option_game ).
thf(func_def_23,type,
some_trm: trm > option_trm ).
thf(func_def_24,type,
case_option_o_fml: $o > ( fml > $o ) > option_fml > $o ).
thf(func_def_25,type,
case_option_o_game: $o > ( game > $o ) > option_game > $o ).
thf(func_def_26,type,
case_option_o_trm: $o > ( trm > $o ) > option_trm > $o ).
thf(func_def_27,type,
case_o209804997ml_fml: option_fml > ( fml > option_fml ) > option_fml > option_fml ).
thf(func_def_28,type,
case_o696458451e_game: option_game > ( game > option_game ) > option_game > option_game ).
thf(func_def_29,type,
case_o487727941rm_trm: option_trm > ( trm > option_trm ) > option_trm > option_trm ).
thf(func_def_30,type,
the_fml: option_fml > fml ).
thf(func_def_31,type,
the_game: option_game > game ).
thf(func_def_32,type,
the_trm: option_trm > trm ).
thf(func_def_33,type,
bot_bo1895715589game_o: ( char > option_fml ) > ( char > option_game ) > $o ).
thf(func_def_34,type,
bot_bo1417568964game_o: ( char > option_trm ) > produc799602994n_game > $o ).
thf(func_def_35,type,
bot_bot_char_o: char > $o ).
thf(func_def_36,type,
bot_bot_variable_o: variable > $o ).
thf(func_def_37,type,
bot_bo456479484n_game: set_Pr79606376n_game ).
thf(func_def_38,type,
bot_bo1302831229n_game: set_Pr739694057n_game ).
thf(func_def_39,type,
bot_bot_set_char: set_char ).
thf(func_def_40,type,
bot_bot_set_variable: set_variable ).
thf(func_def_41,type,
produc123610156n_game: ( char > option_fml ) > ( char > option_game ) > produc799602994n_game ).
thf(func_def_42,type,
produc1048060077n_game: ( char > option_trm ) > produc799602994n_game > produc62062515n_game ).
thf(func_def_43,type,
produc1618635950n_game: ( char > option_trm ) > produc62062515n_game > produc1418842292n_game ).
thf(func_def_44,type,
produc1132922070rp_trm: denotational_interp > trm > produc833882726rp_trm ).
thf(func_def_45,type,
produc909629463on_fml: option_fml > option_fml > produc46605351on_fml ).
thf(func_def_46,type,
produc2124676926on_fml: option_game > option_fml > produc1739631244on_fml ).
thf(func_def_47,type,
produc1111617711n_game: option_game > option_game > produc1016592119n_game ).
thf(func_def_48,type,
produc709594775on_trm: option_trm > option_trm > produc1072747943on_trm ).
thf(func_def_49,type,
produc2015636557le_trm: produc1418842292n_game > produc1367888000le_trm > produc1699626005le_trm ).
thf(func_def_50,type,
produc1482344242le_trm: set_variable > trm > produc1367888000le_trm ).
thf(func_def_51,type,
produc1500300866on_trm: char > option_trm > produc464795408on_trm ).
thf(func_def_52,type,
produc1205977188on_fml: variable > option_fml > produc1408538418on_fml ).
thf(func_def_53,type,
produc1743721902on_trm: variable > option_trm > produc1024976764on_trm ).
thf(func_def_54,type,
produc1598111045on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(func_def_55,type,
produc1214549391on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(func_def_56,type,
produc377919108on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(func_def_57,type,
produc2141841102on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(func_def_58,type,
produc1278328899on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(func_def_59,type,
produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(func_def_60,type,
produc1036610745on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(func_def_61,type,
produc159680767game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > produc799602994n_game > $o ).
thf(func_def_62,type,
produc347802313on_fml: ( ( char > option_fml ) > ( char > option_game ) > option_fml ) > produc799602994n_game > option_fml ).
thf(func_def_63,type,
produc885547027on_trm: ( ( char > option_fml ) > ( char > option_game ) > option_trm ) > produc799602994n_game > option_trm ).
thf(func_def_64,type,
produc629249376t_char: ( ( char > option_fml ) > ( char > option_game ) > set_char ) > produc799602994n_game > set_char ).
thf(func_def_65,type,
produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(func_def_66,type,
produc1231571704on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(func_def_67,type,
produc1868740670game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > produc62062515n_game > $o ).
thf(func_def_68,type,
produc154833544on_fml: ( ( char > option_trm ) > produc799602994n_game > option_fml ) > produc62062515n_game > option_fml ).
thf(func_def_69,type,
produc692578258on_trm: ( ( char > option_trm ) > produc799602994n_game > option_trm ) > produc62062515n_game > option_trm ).
thf(func_def_70,type,
produc1554403041t_char: ( ( char > option_trm ) > produc799602994n_game > set_char ) > produc62062515n_game > set_char ).
thf(func_def_71,type,
produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(func_def_72,type,
produc866613687on_trm: ( ( char > option_trm ) > produc62062515n_game > char > option_trm ) > produc1418842292n_game > char > option_trm ).
thf(func_def_73,type,
produc1707653117game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > produc1418842292n_game > $o ).
thf(func_def_74,type,
produc1499310791on_fml: ( ( char > option_trm ) > produc62062515n_game > option_fml ) > produc1418842292n_game > option_fml ).
thf(func_def_75,type,
produc1002100706t_char: ( ( char > option_trm ) > produc62062515n_game > set_char ) > produc1418842292n_game > set_char ).
thf(func_def_76,type,
produc82209913_trm_o: ( set_variable > trm > $o ) > produc1367888000le_trm > $o ).
thf(func_def_77,type,
produc836445798t_char: ( set_variable > trm > set_char ) > produc1367888000le_trm > set_char ).
thf(func_def_78,type,
produc584666985_trm_o: ( char > option_trm > $o ) > produc464795408on_trm > $o ).
thf(func_def_79,type,
produc33263478t_char: ( char > option_trm > set_char ) > produc464795408on_trm > set_char ).
thf(func_def_80,type,
collect_char: ( char > $o ) > set_char ).
thf(func_def_81,type,
collect_variable: ( variable > $o ) > set_variable ).
thf(func_def_82,type,
is_empty_variable: set_variable > $o ).
thf(func_def_83,type,
static_FVF: fml > set_variable ).
thf(func_def_84,type,
static_FVT: trm > set_variable ).
thf(func_def_85,type,
char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
thf(func_def_86,type,
geq: trm > trm > fml ).
thf(func_def_87,type,
pred: char > trm > fml ).
thf(func_def_88,type,
const: char > trm ).
thf(func_def_89,type,
differential: trm > trm ).
thf(func_def_90,type,
func: char > trm > trm ).
thf(func_def_91,type,
number: real > trm ).
thf(func_def_92,type,
plus: trm > trm > trm ).
thf(func_def_93,type,
times: trm > trm > trm ).
thf(func_def_94,type,
var: variable > trm ).
thf(func_def_95,type,
uSubst716837505ntialo: option_trm > option_trm ).
thf(func_def_96,type,
uSubst152838031e_Geqo: option_trm > option_trm > option_fml ).
thf(func_def_97,type,
uSubst1304144938qo_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_98,type,
uSubst141955042_Pluso: option_trm > option_trm > option_trm ).
thf(func_def_99,type,
uSubst691094423so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_100,type,
uSubst918876924Timeso: option_trm > option_trm > option_trm ).
thf(func_def_101,type,
uSubst924844285so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_102,type,
uSubst_Mirabelle_dot: trm ).
thf(func_def_103,type,
uSubst1408967625substt: trm > produc1418842292n_game ).
thf(func_def_104,type,
uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
thf(func_def_105,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf(func_def_106,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(func_def_107,type,
uSubst1917534215pt_rel: produc1699626005le_trm > produc1699626005le_trm > $o ).
thf(func_def_108,type,
accp_P758790320on_trm: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm > $o ).
thf(func_def_109,type,
accp_P1877119646le_trm: ( produc1699626005le_trm > produc1699626005le_trm > $o ) > produc1699626005le_trm > $o ).
thf(func_def_110,type,
member849814089n_game: produc799602994n_game > set_Pr79606376n_game > $o ).
thf(func_def_111,type,
member774167626n_game: produc62062515n_game > set_Pr739694057n_game > $o ).
thf(func_def_112,type,
member1940201675n_game: produc1418842292n_game > set_Pr720454634n_game > $o ).
thf(func_def_113,type,
member2122665623le_trm: produc1367888000le_trm > set_Pr1235432374le_trm > $o ).
thf(func_def_114,type,
member694524327on_trm: produc464795408on_trm > set_Pr943832262on_trm > $o ).
thf(func_def_115,type,
member_char: char > set_char > $o ).
thf(func_def_116,type,
member_variable: variable > set_variable > $o ).
thf(func_def_117,type,
u: set_variable ).
thf(func_def_118,type,
v: set_variable ).
thf(func_def_119,type,
sigma: produc1418842292n_game ).
thf(func_def_120,type,
f: char ).
thf(func_def_122,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_124,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_125,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_127,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
vNOT: $o > $o ).
thf(func_def_132,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_133,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_134,type,
vOR: $o > $o > $o ).
thf(func_def_135,type,
vAND: $o > $o > $o ).
thf(func_def_136,type,
vIMP: $o > $o > $o ).
thf(func_def_137,type,
sP0: ( option_trm > option_trm > $o ) > option_trm > option_trm > $o ).
thf(func_def_138,type,
sP1: ( option_trm > option_fml > $o ) > option_trm > option_fml > $o ).
thf(func_def_139,type,
sP2: ( option_trm > option_game > $o ) > option_trm > option_game > $o ).
thf(func_def_140,type,
sP3: ( option_fml > option_trm > $o ) > option_fml > option_trm > $o ).
thf(func_def_141,type,
sP4: ( option_fml > option_fml > $o ) > option_fml > option_fml > $o ).
thf(func_def_142,type,
sP5: ( option_fml > option_game > $o ) > option_fml > option_game > $o ).
thf(func_def_143,type,
sP6: ( option_game > option_trm > $o ) > option_game > option_trm > $o ).
thf(func_def_144,type,
sP7: ( option_game > option_fml > $o ) > option_game > option_fml > $o ).
thf(func_def_145,type,
sP8: ( option_game > option_game > $o ) > option_game > option_game > $o ).
thf(func_def_146,type,
sP9: option_trm > option_trm > option_trm > $o ).
thf(func_def_147,type,
sP10: option_trm > option_trm > option_trm > $o ).
thf(func_def_148,type,
sP11: trm > option_trm > $o ).
thf(func_def_149,type,
sP12: trm > option_trm > $o ).
thf(func_def_150,type,
sP13: trm > produc1418842292n_game > set_variable > option_trm > $o ).
thf(func_def_151,type,
sP14: trm > produc1418842292n_game > set_variable > option_trm > $o ).
thf(func_def_152,type,
sP15: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_153,type,
sP16: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_154,type,
sP17: ( trm > $o ) > $o ).
thf(func_def_155,type,
sP18: ( trm > $o ) > $o ).
thf(func_def_156,type,
sP19: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_157,type,
sP20: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_158,type,
sP21: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_159,type,
sP22: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_160,type,
sP23: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_161,type,
sP24: trm > option_trm > produc1418842292n_game > set_variable > $o ).
thf(func_def_162,type,
sP25: ( denotational_interp > trm > $o ) > $o ).
thf(func_def_163,type,
sP26: ( denotational_interp > trm > $o ) > $o ).
thf(func_def_164,type,
sP27: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_165,type,
sP28: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_166,type,
sP29: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_167,type,
sP30: ( produc1418842292n_game > set_variable > trm > $o ) > $o ).
thf(func_def_168,type,
sP31: option_trm > option_trm > option_fml > $o ).
thf(func_def_169,type,
sP32: option_trm > option_trm > option_fml > $o ).
thf(func_def_170,type,
sP33: option_trm > option_trm > option_fml > $o ).
thf(func_def_171,type,
sP34: option_trm > option_trm > option_trm > $o ).
thf(func_def_172,type,
sP35: option_trm > option_trm > option_trm > $o ).
thf(func_def_173,type,
sP36: option_trm > option_trm > option_trm > $o ).
thf(func_def_174,type,
sP37: option_trm > option_trm > option_trm > $o ).
thf(func_def_175,type,
sK38: char > set_variable > produc1418842292n_game > trm ).
thf(func_def_176,type,
sK39: char > set_variable > produc1418842292n_game > trm ).
thf(func_def_177,type,
sK40: ( char > option_trm > $o ) > char ).
thf(func_def_178,type,
sK41: ( char > option_trm > $o ) > char ).
thf(func_def_179,type,
sK42: ( char > option_trm > $o ) > trm ).
thf(func_def_180,type,
sK43: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_181,type,
sK44: ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_182,type,
sK45: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_183,type,
sK46: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_184,type,
sK47: ( variable > option_trm > $o ) > variable ).
thf(func_def_185,type,
sK48: ( variable > option_trm > $o ) > variable ).
thf(func_def_186,type,
sK49: ( variable > option_trm > $o ) > trm ).
thf(func_def_187,type,
sK50: ( option_trm > $o ) > trm ).
thf(func_def_188,type,
sK51: option_trm > trm ).
thf(func_def_189,type,
sK52: char > set_variable > produc1418842292n_game > trm ).
thf(func_def_190,type,
sK53: ( variable > $o ) > ( variable > $o ) > variable ).
thf(func_def_191,type,
sK54: ( char > $o ) > ( char > $o ) > char ).
thf(func_def_192,type,
sK55: option_trm > ( trm > $o ) > trm ).
thf(func_def_193,type,
sK56: option_fml > ( fml > $o ) > fml ).
thf(func_def_194,type,
sK57: option_game > ( game > $o ) > game ).
thf(func_def_195,type,
sK58: option_trm > trm ).
thf(func_def_196,type,
sK59: option_fml > fml ).
thf(func_def_197,type,
sK60: option_game > game ).
thf(func_def_198,type,
sK61: ( option_trm > $o ) > trm ).
thf(func_def_199,type,
sK62: ( option_fml > $o ) > fml ).
thf(func_def_200,type,
sK63: ( option_game > $o ) > game ).
thf(func_def_201,type,
sK64: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_202,type,
sK65: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_203,type,
sK66: ( option_trm > option_fml > $o ) > option_trm > option_fml > trm ).
thf(func_def_204,type,
sK67: ( option_trm > option_fml > $o ) > option_trm > option_fml > fml ).
thf(func_def_205,type,
sK68: ( option_trm > option_game > $o ) > option_trm > option_game > trm ).
thf(func_def_206,type,
sK69: ( option_trm > option_game > $o ) > option_trm > option_game > game ).
thf(func_def_207,type,
sK70: ( option_fml > option_trm > $o ) > option_fml > option_trm > fml ).
thf(func_def_208,type,
sK71: ( option_fml > option_trm > $o ) > option_fml > option_trm > trm ).
thf(func_def_209,type,
sK72: ( option_fml > option_fml > $o ) > option_fml > option_fml > fml ).
thf(func_def_210,type,
sK73: ( option_fml > option_fml > $o ) > option_fml > option_fml > fml ).
thf(func_def_211,type,
sK74: ( option_fml > option_game > $o ) > option_fml > option_game > fml ).
thf(func_def_212,type,
sK75: ( option_fml > option_game > $o ) > option_fml > option_game > game ).
thf(func_def_213,type,
sK76: ( option_game > option_trm > $o ) > option_game > option_trm > game ).
thf(func_def_214,type,
sK77: ( option_game > option_trm > $o ) > option_game > option_trm > trm ).
thf(func_def_215,type,
sK78: ( option_game > option_fml > $o ) > option_game > option_fml > game ).
thf(func_def_216,type,
sK79: ( option_game > option_fml > $o ) > option_game > option_fml > fml ).
thf(func_def_217,type,
sK80: ( option_game > option_game > $o ) > option_game > option_game > game ).
thf(func_def_218,type,
sK81: ( option_game > option_game > $o ) > option_game > option_game > game ).
thf(func_def_219,type,
sK82: set_char > char ).
thf(func_def_220,type,
sK83: set_variable > variable ).
thf(func_def_221,type,
sK84: set_char > set_char > char ).
thf(func_def_222,type,
sK85: set_variable > set_variable > variable ).
thf(func_def_223,type,
sK86: ( trm > option_trm ) > ( option_trm > $o ) > ( trm > $o ) > trm ).
thf(func_def_224,type,
sK87: option_trm > option_trm > option_trm > trm ).
thf(func_def_225,type,
sK88: option_trm > option_trm > option_trm > trm ).
thf(func_def_226,type,
sK89: option_trm > trm ).
thf(func_def_227,type,
sK90: option_trm > option_trm > option_trm > trm ).
thf(func_def_228,type,
sK91: option_trm > option_trm > option_trm > trm ).
thf(func_def_229,type,
sK92: option_trm > trm ).
thf(func_def_230,type,
sK93: trm > produc1418842292n_game > set_variable > option_trm > char ).
thf(func_def_231,type,
sK94: trm > produc1418842292n_game > set_variable > option_trm > trm ).
thf(func_def_232,type,
sK95: trm > produc1418842292n_game > set_variable > option_trm > char ).
thf(func_def_233,type,
sK96: trm > option_trm > real ).
thf(func_def_234,type,
sK97: trm > option_trm > variable ).
thf(func_def_235,type,
sK98: option_trm > trm > produc1418842292n_game > trm ).
thf(func_def_236,type,
sK99: option_trm > trm > set_variable > produc1418842292n_game > trm ).
thf(func_def_237,type,
sK100: option_trm > trm > set_variable > produc1418842292n_game > trm ).
thf(func_def_238,type,
sK101: option_trm > trm > set_variable > produc1418842292n_game > trm ).
thf(func_def_239,type,
sK102: option_trm > trm > set_variable > produc1418842292n_game > trm ).
thf(func_def_240,type,
sK103: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_241,type,
sK104: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_242,type,
sK105: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_243,type,
sK106: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_244,type,
sK107: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_245,type,
sK108: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_246,type,
sK109: ( produc1418842292n_game > set_variable > trm > $o ) > char ).
thf(func_def_247,type,
sK110: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_248,type,
sK111: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_249,type,
sK112: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_250,type,
sK113: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_251,type,
sK114: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_252,type,
sK115: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_253,type,
sK116: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_254,type,
sK117: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_255,type,
sK118: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_256,type,
sK119: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_257,type,
sK120: ( produc1418842292n_game > set_variable > trm > $o ) > char ).
thf(func_def_258,type,
sK121: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_259,type,
sK122: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_260,type,
sK123: ( produc1418842292n_game > set_variable > trm > $o ) > real ).
thf(func_def_261,type,
sK124: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_262,type,
sK125: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_263,type,
sK126: ( produc1418842292n_game > set_variable > trm > $o ) > variable ).
thf(func_def_264,type,
sK127: option_trm > option_trm > trm ).
thf(func_def_265,type,
sK128: trm > trm ).
thf(func_def_266,type,
sK129: trm > trm ).
thf(func_def_267,type,
sK130: trm > trm ).
thf(func_def_268,type,
sK131: trm > trm ).
thf(func_def_269,type,
sK132: trm > trm ).
thf(func_def_270,type,
sK133: trm > char ).
thf(func_def_271,type,
sK134: trm > trm ).
thf(func_def_272,type,
sK135: trm > char ).
thf(func_def_273,type,
sK136: trm > real ).
thf(func_def_274,type,
sK137: trm > variable ).
thf(func_def_275,type,
sK138: ( trm > $o ) > trm ).
thf(func_def_276,type,
sK139: ( trm > $o ) > trm ).
thf(func_def_277,type,
sK140: ( trm > $o ) > trm ).
thf(func_def_278,type,
sK141: ( trm > $o ) > trm ).
thf(func_def_279,type,
sK142: ( trm > $o ) > trm ).
thf(func_def_280,type,
sK143: ( trm > $o ) > char ).
thf(func_def_281,type,
sK144: ( trm > $o ) > trm ).
thf(func_def_282,type,
sK145: ( trm > $o ) > char ).
thf(func_def_283,type,
sK146: ( trm > $o ) > real ).
thf(func_def_284,type,
sK147: ( trm > $o ) > variable ).
thf(func_def_285,type,
sK148: trm > option_trm > produc1418842292n_game > set_variable > trm ).
thf(func_def_286,type,
sK149: trm > option_trm > produc1418842292n_game > set_variable > trm ).
thf(func_def_287,type,
sK150: trm > option_trm > produc1418842292n_game > set_variable > trm ).
thf(func_def_288,type,
sK151: trm > option_trm > produc1418842292n_game > set_variable > trm ).
thf(func_def_289,type,
sK152: trm > option_trm > produc1418842292n_game > set_variable > char ).
thf(func_def_290,type,
sK153: trm > option_trm > produc1418842292n_game > set_variable > trm ).
thf(func_def_291,type,
sK154: trm > option_trm > produc1418842292n_game > set_variable > char ).
thf(func_def_292,type,
sK155: trm > option_trm > produc1418842292n_game > set_variable > real ).
thf(func_def_293,type,
sK156: trm > option_trm > produc1418842292n_game > set_variable > variable ).
thf(func_def_294,type,
sK157: option_trm > trm > set_variable > produc1418842292n_game > trm ).
thf(func_def_295,type,
sK158: produc833882726rp_trm > denotational_interp ).
thf(func_def_296,type,
sK159: produc833882726rp_trm > trm ).
thf(func_def_297,type,
sK160: produc833882726rp_trm > denotational_interp ).
thf(func_def_298,type,
sK161: produc833882726rp_trm > trm ).
thf(func_def_299,type,
sK162: produc833882726rp_trm > trm ).
thf(func_def_300,type,
sK163: produc833882726rp_trm > denotational_interp ).
thf(func_def_301,type,
sK164: produc833882726rp_trm > trm ).
thf(func_def_302,type,
sK165: produc833882726rp_trm > trm ).
thf(func_def_303,type,
sK166: produc833882726rp_trm > denotational_interp ).
thf(func_def_304,type,
sK167: produc833882726rp_trm > char ).
thf(func_def_305,type,
sK168: produc833882726rp_trm > trm ).
thf(func_def_306,type,
sK169: produc833882726rp_trm > denotational_interp ).
thf(func_def_307,type,
sK170: produc833882726rp_trm > char ).
thf(func_def_308,type,
sK171: produc833882726rp_trm > denotational_interp ).
thf(func_def_309,type,
sK172: produc833882726rp_trm > real ).
thf(func_def_310,type,
sK173: produc833882726rp_trm > denotational_interp ).
thf(func_def_311,type,
sK174: produc833882726rp_trm > variable ).
thf(func_def_312,type,
sK175: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_313,type,
sK176: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_314,type,
sK177: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_315,type,
sK178: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_316,type,
sK179: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_317,type,
sK180: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_318,type,
sK181: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_319,type,
sK182: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_320,type,
sK183: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_321,type,
sK184: ( denotational_interp > trm > $o ) > char ).
thf(func_def_322,type,
sK185: ( denotational_interp > trm > $o ) > trm ).
thf(func_def_323,type,
sK186: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_324,type,
sK187: ( denotational_interp > trm > $o ) > char ).
thf(func_def_325,type,
sK188: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_326,type,
sK189: ( denotational_interp > trm > $o ) > real ).
thf(func_def_327,type,
sK190: ( denotational_interp > trm > $o ) > denotational_interp ).
thf(func_def_328,type,
sK191: ( denotational_interp > trm > $o ) > variable ).
thf(func_def_329,type,
sK192: ( char > option_trm > $o ) > produc464795408on_trm > char ).
thf(func_def_330,type,
sK193: ( char > option_trm > $o ) > produc464795408on_trm > option_trm ).
thf(func_def_331,type,
sK194: ( set_variable > trm > $o ) > produc1367888000le_trm > set_variable ).
thf(func_def_332,type,
sK195: ( set_variable > trm > $o ) > produc1367888000le_trm > trm ).
thf(func_def_333,type,
sK196: ( ( char > option_trm ) > produc62062515n_game > $o ) > produc1418842292n_game > char > option_trm ).
thf(func_def_334,type,
sK197: ( ( char > option_trm ) > produc62062515n_game > $o ) > produc1418842292n_game > produc62062515n_game ).
thf(func_def_335,type,
sK198: ( ( char > option_trm ) > produc799602994n_game > $o ) > produc62062515n_game > char > option_trm ).
thf(func_def_336,type,
sK199: ( ( char > option_trm ) > produc799602994n_game > $o ) > produc62062515n_game > produc799602994n_game ).
thf(func_def_337,type,
sK200: ( ( char > option_fml ) > ( char > option_game ) > $o ) > produc799602994n_game > char > option_fml ).
thf(func_def_338,type,
sK201: ( ( char > option_fml ) > ( char > option_game ) > $o ) > produc799602994n_game > char > option_game ).
thf(func_def_339,type,
sK202: ( char > option_trm > set_char ) > char > produc464795408on_trm > char ).
thf(func_def_340,type,
sK203: ( char > option_trm > set_char ) > char > produc464795408on_trm > option_trm ).
thf(func_def_341,type,
sK204: ( set_variable > trm > set_char ) > char > produc1367888000le_trm > set_variable ).
thf(func_def_342,type,
sK205: ( set_variable > trm > set_char ) > char > produc1367888000le_trm > trm ).
thf(func_def_343,type,
sK206: ( ( char > option_trm ) > produc62062515n_game > set_char ) > char > produc1418842292n_game > char > option_trm ).
thf(func_def_344,type,
sK207: ( ( char > option_trm ) > produc62062515n_game > set_char ) > char > produc1418842292n_game > produc62062515n_game ).
thf(func_def_345,type,
sK208: ( ( char > option_trm ) > produc799602994n_game > set_char ) > char > produc62062515n_game > char > option_trm ).
thf(func_def_346,type,
sK209: ( ( char > option_trm ) > produc799602994n_game > set_char ) > char > produc62062515n_game > produc799602994n_game ).
thf(func_def_347,type,
sK210: ( ( char > option_fml ) > ( char > option_game ) > set_char ) > char > produc799602994n_game > char > option_fml ).
thf(func_def_348,type,
sK211: ( ( char > option_fml ) > ( char > option_game ) > set_char ) > char > produc799602994n_game > char > option_game ).
thf(func_def_349,type,
sK212: ( produc1418842292n_game > char > option_fml ) > ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > char > option_trm ).
thf(func_def_350,type,
sK213: ( produc1418842292n_game > char > option_fml ) > ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc62062515n_game ).
thf(func_def_351,type,
sK214: ( produc62062515n_game > char > option_trm ) > ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > char > option_trm ).
thf(func_def_352,type,
sK215: ( produc62062515n_game > char > option_trm ) > ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc799602994n_game ).
thf(func_def_353,type,
sK216: ( produc62062515n_game > char > option_fml ) > ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > char > option_trm ).
thf(func_def_354,type,
sK217: ( produc62062515n_game > char > option_fml ) > ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc799602994n_game ).
thf(func_def_355,type,
sK218: ( produc799602994n_game > char > option_trm ) > ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > char > option_fml ).
thf(func_def_356,type,
sK219: ( produc799602994n_game > char > option_trm ) > ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > char > option_game ).
thf(func_def_357,type,
sK220: ( produc799602994n_game > char > option_fml ) > ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > char > option_fml ).
thf(func_def_358,type,
sK221: ( produc799602994n_game > char > option_fml ) > ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > char > option_game ).
thf(func_def_359,type,
sK222: produc1418842292n_game > ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > ( ( char > option_fml ) > $o ) > char > option_trm ).
thf(func_def_360,type,
sK223: produc1418842292n_game > ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > ( ( char > option_fml ) > $o ) > produc62062515n_game ).
thf(func_def_361,type,
sK224: produc62062515n_game > ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > ( ( char > option_trm ) > $o ) > char > option_trm ).
thf(func_def_362,type,
sK225: produc62062515n_game > ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > ( ( char > option_trm ) > $o ) > produc799602994n_game ).
thf(func_def_363,type,
sK226: produc62062515n_game > ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > ( ( char > option_fml ) > $o ) > char > option_trm ).
thf(func_def_364,type,
sK227: produc62062515n_game > ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > ( ( char > option_fml ) > $o ) > produc799602994n_game ).
thf(func_def_365,type,
sK228: produc799602994n_game > ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > ( ( char > option_trm ) > $o ) > char > option_fml ).
thf(func_def_366,type,
sK229: produc799602994n_game > ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > ( ( char > option_trm ) > $o ) > char > option_game ).
thf(func_def_367,type,
sK230: produc799602994n_game > ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > ( ( char > option_fml ) > $o ) > char > option_fml ).
thf(func_def_368,type,
sK231: produc799602994n_game > ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > ( ( char > option_fml ) > $o ) > char > option_game ).
thf(func_def_369,type,
sK232: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_370,type,
sK233: produc1699626005le_trm > set_variable ).
thf(func_def_371,type,
sK234: produc1699626005le_trm > trm ).
thf(func_def_372,type,
sK235: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_373,type,
sK236: produc1699626005le_trm > set_variable ).
thf(func_def_374,type,
sK237: produc1699626005le_trm > trm ).
thf(func_def_375,type,
sK238: produc1699626005le_trm > trm ).
thf(func_def_376,type,
sK239: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_377,type,
sK240: produc1699626005le_trm > set_variable ).
thf(func_def_378,type,
sK241: produc1699626005le_trm > trm ).
thf(func_def_379,type,
sK242: produc1699626005le_trm > trm ).
thf(func_def_380,type,
sK243: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_381,type,
sK244: produc1699626005le_trm > set_variable ).
thf(func_def_382,type,
sK245: produc1699626005le_trm > char ).
thf(func_def_383,type,
sK246: produc1699626005le_trm > trm ).
thf(func_def_384,type,
sK247: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_385,type,
sK248: produc1699626005le_trm > set_variable ).
thf(func_def_386,type,
sK249: produc1699626005le_trm > char ).
thf(func_def_387,type,
sK250: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_388,type,
sK251: produc1699626005le_trm > set_variable ).
thf(func_def_389,type,
sK252: produc1699626005le_trm > real ).
thf(func_def_390,type,
sK253: produc1699626005le_trm > produc1418842292n_game ).
thf(func_def_391,type,
sK254: produc1699626005le_trm > set_variable ).
thf(func_def_392,type,
sK255: produc1699626005le_trm > variable ).
thf(func_def_393,type,
sK256: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_394,type,
sK257: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_395,type,
sK258: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_396,type,
sK259: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_397,type,
sK260: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_398,type,
sK261: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_399,type,
sK262: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_400,type,
sK263: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_401,type,
sK264: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_402,type,
sK265: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_403,type,
sK266: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_404,type,
sK267: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_405,type,
sK268: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_406,type,
sK269: ( produc1418842292n_game > set_variable > trm > $o ) > char ).
thf(func_def_407,type,
sK270: ( produc1418842292n_game > set_variable > trm > $o ) > trm ).
thf(func_def_408,type,
sK271: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_409,type,
sK272: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_410,type,
sK273: ( produc1418842292n_game > set_variable > trm > $o ) > char ).
thf(func_def_411,type,
sK274: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_412,type,
sK275: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_413,type,
sK276: ( produc1418842292n_game > set_variable > trm > $o ) > real ).
thf(func_def_414,type,
sK277: ( produc1418842292n_game > set_variable > trm > $o ) > produc1418842292n_game ).
thf(func_def_415,type,
sK278: ( produc1418842292n_game > set_variable > trm > $o ) > set_variable ).
thf(func_def_416,type,
sK279: ( produc1418842292n_game > set_variable > trm > $o ) > variable ).
thf(func_def_417,type,
sK280: option_trm > option_trm > option_fml > trm ).
thf(func_def_418,type,
sK281: option_trm > option_trm > option_fml > trm ).
thf(func_def_419,type,
sK282: option_trm > trm ).
thf(func_def_420,type,
sK283: produc1739631244on_fml > game ).
thf(func_def_421,type,
sK284: produc1739631244on_fml > option_fml ).
thf(func_def_422,type,
sK285: produc1739631244on_fml > game ).
thf(func_def_423,type,
sK286: produc1739631244on_fml > fml ).
thf(func_def_424,type,
sK287: produc1408538418on_fml > variable ).
thf(func_def_425,type,
sK288: produc1408538418on_fml > variable ).
thf(func_def_426,type,
sK289: produc1408538418on_fml > fml ).
thf(func_def_427,type,
sK290: produc46605351on_fml > fml ).
thf(func_def_428,type,
sK291: produc46605351on_fml > option_fml ).
thf(func_def_429,type,
sK292: produc46605351on_fml > fml ).
thf(func_def_430,type,
sK293: produc46605351on_fml > fml ).
thf(func_def_431,type,
sK294: produc464795408on_trm > char ).
thf(func_def_432,type,
sK295: produc464795408on_trm > char ).
thf(func_def_433,type,
sK296: produc464795408on_trm > trm ).
thf(func_def_434,type,
sK297: produc1024976764on_trm > variable ).
thf(func_def_435,type,
sK298: produc1024976764on_trm > variable ).
thf(func_def_436,type,
sK299: produc1024976764on_trm > trm ).
thf(func_def_437,type,
sK300: produc1072747943on_trm > trm ).
thf(func_def_438,type,
sK301: produc1072747943on_trm > option_trm ).
thf(func_def_439,type,
sK302: produc1072747943on_trm > trm ).
thf(func_def_440,type,
sK303: produc1072747943on_trm > trm ).
thf(func_def_441,type,
sK304: produc1016592119n_game > game ).
thf(func_def_442,type,
sK305: produc1016592119n_game > option_game ).
thf(func_def_443,type,
sK306: produc1016592119n_game > game ).
thf(func_def_444,type,
sK307: produc1016592119n_game > game ).
thf(func_def_445,type,
sK308: option_trm > option_trm > option_fml > trm ).
thf(func_def_446,type,
sK309: option_trm > option_trm > option_fml > trm ).
thf(func_def_447,type,
sK310: option_trm > option_trm > option_fml > trm ).
thf(func_def_448,type,
sK311: option_trm > option_trm > option_trm > trm ).
thf(func_def_449,type,
sK312: option_trm > option_trm > option_trm > trm ).
thf(func_def_450,type,
sK313: option_trm > option_trm > option_trm > trm ).
thf(func_def_451,type,
sK314: option_trm > option_trm > option_trm > trm ).
thf(func_def_452,type,
sK315: option_trm > option_trm > option_trm > trm ).
thf(func_def_453,type,
sK316: option_trm > option_trm > option_trm > trm ).
thf(func_def_454,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_455,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_456,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_457,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_458,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_459,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_460,type,
sK317: set_variable > set_variable > variable ).
thf(func_def_461,type,
sK318: set_variable > set_variable > variable ).
thf(func_def_462,type,
sK319: set_variable > set_variable > variable ).
thf(func_def_463,type,
sK320: set_char > set_char > char ).
thf(func_def_464,type,
sK321: set_variable > variable ).
thf(func_def_465,type,
sK322: set_char > char ).
thf(func_def_466,type,
sK323: set_variable > variable ).
thf(func_def_467,type,
sK324: set_char > char ).
thf(func_def_468,type,
sK325: ( variable > $o ) > variable ).
thf(func_def_469,type,
sK326: ( char > $o ) > char ).
thf(func_def_470,type,
sK327: ( variable > $o ) > variable ).
thf(func_def_471,type,
sK328: ( char > $o ) > char ).
thf(func_def_472,type,
sK329: option_game > game ).
thf(func_def_473,type,
sK330: option_fml > fml ).
thf(func_def_474,type,
sK331: option_trm > trm ).
thf(func_def_475,type,
sK332: option_game > game ).
thf(func_def_476,type,
sK333: option_fml > fml ).
thf(func_def_477,type,
sK334: option_trm > trm ).
thf(func_def_478,type,
sK335: option_trm > trm ).
thf(func_def_479,type,
sK336: ( option_game > $o ) > option_game ).
thf(func_def_480,type,
sK337: ( option_game > $o ) > game ).
thf(func_def_481,type,
sK338: ( option_fml > $o ) > option_fml ).
thf(func_def_482,type,
sK339: ( option_fml > $o ) > fml ).
thf(func_def_483,type,
sK340: ( option_trm > $o ) > option_trm ).
thf(func_def_484,type,
sK341: ( option_trm > $o ) > trm ).
thf(func_def_485,type,
sK342: ( option_game > $o ) > game ).
thf(func_def_486,type,
sK343: ( option_game > $o ) > option_game ).
thf(func_def_487,type,
sK344: ( option_fml > $o ) > fml ).
thf(func_def_488,type,
sK345: ( option_fml > $o ) > option_fml ).
thf(func_def_489,type,
sK346: ( option_trm > $o ) > trm ).
thf(func_def_490,type,
sK347: ( option_trm > $o ) > option_trm ).
thf(f4,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_f3) ).
thf(f5,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062) ).
thf(f6,axiom,
( uSubst1559070963pconst
= ( ^ [X0: produc1418842292n_game,X1: set_variable,X2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ X2 ) )
@ ^ [X3: trm] :
( if_option_trm
@ ( ( inf_inf_set_variable @ ( static_FVT @ X3 ) @ X1 )
= bot_bot_set_variable )
@ ( some_trm @ X3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ X0
@ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_usappconst__def) ).
thf(f8,axiom,
! [X0: produc1418842292n_game,X1: set_variable,X2: char] :
( ( uSubst516392818stappt @ X0 @ X1 @ ( const @ X2 ) )
= ( uSubst1559070963pconst @ X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_usubstappt_Osimps_I3_J) ).
thf(f10,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062) ).
thf(f11,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062) ).
thf(f14,axiom,
( produc1231571704on_trm
= ( ^ [X0: ( char > option_trm ) > produc799602994n_game > char > option_trm,X1: produc62062515n_game,X2: char] :
( produc692578258on_trm
@ ^ [X3: char > option_trm,X4: produc799602994n_game] : ( X0 @ X3 @ X4 @ X2 )
@ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_case__prod__app) ).
thf(f16,axiom,
( produc1036610745on_trm
= ( ^ [X0: ( char > option_fml ) > ( char > option_game ) > char > option_trm,X1: produc799602994n_game,X2: char] :
( produc885547027on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : ( X0 @ X3 @ X4 @ X2 )
@ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_case__prod__app) ).
thf(f44,axiom,
( case_o487727941rm_trm
= ( ^ [X0: option_trm,X1: trm > option_trm,X2: option_trm] : ( if_option_trm @ ( X2 = none_trm ) @ X0 @ ( X1 @ ( the_trm @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_option_Ocase__eq__if) ).
thf(f164,axiom,
( inf_inf_set_variable
= ( ^ [X0: set_variable,X1: set_variable] :
( collect_variable
@ ^ [X2: variable] :
( ( member_variable @ X2 @ X1 )
& ( member_variable @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_Int__def) ).
thf(f356,conjecture,
( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
= none_trm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
= none_trm ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f358,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
inference(rectify,[],[f4]) ).
thf(f359,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) ),
inference(fool_elimination,[],[f358]) ).
thf(f360,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ),
inference(rectify,[],[f5]) ).
thf(f361,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(fool_elimination,[],[f360]) ).
thf(f362,plain,
( uSubst1559070963pconst
= ( ^ [X0: produc1418842292n_game,X1: set_variable,X2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ X2 ) )
@ ^ [X3: trm] :
( if_option_trm
@ ( ( inf_inf_set_variable @ ( static_FVT @ X3 ) @ X1 )
= bot_bot_set_variable )
@ ( some_trm @ X3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ X0
@ X2 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f363,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(fool_elimination,[],[f362]) ).
thf(f366,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ v )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X8: char > option_trm] :
( produc1231571704on_trm
@ ^ [X9: char > option_trm] :
( produc1036610745on_trm
@ ^ [X10: char > option_fml,X11: char > option_game] : X8 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X12: char > option_trm] :
( produc1231571704on_trm
@ ^ [X13: char > option_trm] :
( produc1036610745on_trm
@ ^ [X14: char > option_fml,X15: char > option_game] : X12 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f367,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ) ) ),
inference(fool_elimination,[],[f366]) ).
thf(f368,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X8: char > option_trm] :
( produc1231571704on_trm
@ ^ [X9: char > option_trm] :
( produc1036610745on_trm
@ ^ [X10: char > option_fml,X11: char > option_game] : X8 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X12: char > option_trm] :
( produc1231571704on_trm
@ ^ [X13: char > option_trm] :
( produc1036610745on_trm
@ ^ [X14: char > option_fml,X15: char > option_game] : X12 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f369,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
=> ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ) ) ),
inference(fool_elimination,[],[f368]) ).
thf(f373,plain,
( produc1231571704on_trm
= ( ^ [X0: ( char > option_trm ) > produc799602994n_game > char > option_trm,X1: produc62062515n_game,X2: char] :
( produc692578258on_trm
@ ^ [X3: char > option_trm,X4: produc799602994n_game] : ( X0 @ X3 @ X4 @ X2 )
@ X1 ) ) ),
inference(rectify,[],[f14]) ).
thf(f374,plain,
( produc1231571704on_trm
= ( ^ [Y0: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm,Y4: produc799602994n_game] : ( Y0 @ Y3 @ Y4 @ Y2 )
@ Y1 ) ) ),
inference(fool_elimination,[],[f373]) ).
thf(f377,plain,
( produc1036610745on_trm
= ( ^ [X0: ( char > option_fml ) > ( char > option_game ) > char > option_trm,X1: produc799602994n_game,X2: char] :
( produc885547027on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : ( X0 @ X3 @ X4 @ X2 )
@ X1 ) ) ),
inference(rectify,[],[f16]) ).
thf(f378,plain,
( produc1036610745on_trm
= ( ^ [Y0: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y1: produc799602994n_game,Y2: char] :
( produc885547027on_trm
@ ^ [Y3: char > option_fml,Y4: char > option_game] : ( Y0 @ Y3 @ Y4 @ Y2 )
@ Y1 ) ) ),
inference(fool_elimination,[],[f377]) ).
thf(f412,plain,
( case_o487727941rm_trm
= ( ^ [X0: option_trm,X1: trm > option_trm,X2: option_trm] : ( if_option_trm @ ( X2 = none_trm ) @ X0 @ ( X1 @ ( the_trm @ X2 ) ) ) ) ),
inference(rectify,[],[f44]) ).
thf(f413,plain,
( case_o487727941rm_trm
= ( ^ [Y0: option_trm,Y1: trm > option_trm,Y2: option_trm] : ( if_option_trm @ ( none_trm = Y2 ) @ Y0 @ ( Y1 @ ( the_trm @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f412]) ).
thf(f555,plain,
( inf_inf_set_variable
= ( ^ [X0: set_variable,X1: set_variable] :
( collect_variable
@ ^ [X2: variable] :
( ( member_variable @ X2 @ X1 )
& ( member_variable @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f164]) ).
thf(f556,plain,
( inf_inf_set_variable
= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f555]) ).
thf(f748,plain,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
= none_trm ) ),
inference(rectify,[],[f357]) ).
thf(f749,plain,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(fool_elimination,[],[f748]) ).
thf(f788,plain,
( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f359]) ).
thf(f789,plain,
( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f361]) ).
thf(f790,plain,
( ( ( ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) )
& ( ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f367]) ).
thf(f791,plain,
( ( ( ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) )
| ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) )
& ( ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f369]) ).
thf(f975,plain,
( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) )
& ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f749]) ).
thf(f1239,plain,
( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f788]) ).
thf(f1240,plain,
( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f789]) ).
thf(f1241,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(cnf_transformation,[],[f363]) ).
thf(f1243,plain,
! [X2: char,X0: produc1418842292n_game,X1: set_variable] :
( ( uSubst516392818stappt @ X0 @ X1 @ ( const @ X2 ) )
= ( uSubst1559070963pconst @ X0 @ X1 @ X2 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f1245,plain,
( ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f790]) ).
thf(f1247,plain,
( ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f791]) ).
thf(f1251,plain,
( produc1231571704on_trm
= ( ^ [Y0: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm,Y4: produc799602994n_game] : ( Y0 @ Y3 @ Y4 @ Y2 )
@ Y1 ) ) ),
inference(cnf_transformation,[],[f374]) ).
thf(f1253,plain,
( produc1036610745on_trm
= ( ^ [Y0: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y1: produc799602994n_game,Y2: char] :
( produc885547027on_trm
@ ^ [Y3: char > option_fml,Y4: char > option_game] : ( Y0 @ Y3 @ Y4 @ Y2 )
@ Y1 ) ) ),
inference(cnf_transformation,[],[f378]) ).
thf(f1285,plain,
( case_o487727941rm_trm
= ( ^ [Y0: option_trm,Y1: trm > option_trm,Y2: option_trm] : ( if_option_trm @ ( none_trm = Y2 ) @ Y0 @ ( Y1 @ ( the_trm @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f413]) ).
thf(f1476,plain,
( inf_inf_set_variable
= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f556]) ).
thf(f1834,plain,
( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ),
inference(cnf_transformation,[],[f975]) ).
thf(f1835,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference(cnf_transformation,[],[f975]) ).
thf(f1839,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( ^ [Y4: set_variable,Y5: set_variable] :
( collect_variable
@ ^ [Y6: variable] :
( ( member_variable @ Y6 @ Y4 )
& ( member_variable @ Y6 @ Y5 ) ) )
@ ( static_FVT @ Y3 )
@ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( ^ [Y4: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y5: produc62062515n_game,Y6: char] :
( produc692578258on_trm
@ ^ [Y7: char > option_trm,Y8: produc799602994n_game] : ( Y4 @ Y7 @ Y8 @ Y6 )
@ Y5 )
@ ^ [Y4: char > option_trm] :
( ^ [Y5: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y6: produc799602994n_game,Y7: char] :
( produc885547027on_trm
@ ^ [Y8: char > option_fml,Y9: char > option_game] : ( Y5 @ Y8 @ Y9 @ Y7 )
@ Y6 )
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(definition_unfolding,[],[f1241,f1285,f1476,f1251,f1253]) ).
thf(f1847,plain,
( ( bot_bot_set_variable
= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) )
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(definition_unfolding,[],[f1239,f1476,f1251,f1253,f1251,f1253]) ).
thf(f1848,plain,
( ( bot_bot_set_variable
= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) )
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(definition_unfolding,[],[f1240,f1476,f1251,f1253,f1251,f1253]) ).
thf(f1850,plain,
! [X2: char,X0: produc1418842292n_game,X1: set_variable] :
( ( uSubst516392818stappt @ X0 @ X1 @ ( const @ X2 ) )
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( ^ [Y4: set_variable,Y5: set_variable] :
( collect_variable
@ ^ [Y6: variable] :
( ( member_variable @ Y6 @ Y4 )
& ( member_variable @ Y6 @ Y5 ) ) )
@ ( static_FVT @ Y3 )
@ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( ^ [Y4: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y5: produc62062515n_game,Y6: char] :
( produc692578258on_trm
@ ^ [Y7: char > option_trm,Y8: produc799602994n_game] : ( Y4 @ Y7 @ Y8 @ Y6 )
@ Y5 )
@ ^ [Y4: char > option_trm] :
( ^ [Y5: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y6: produc799602994n_game,Y7: char] :
( produc885547027on_trm
@ ^ [Y8: char > option_fml,Y9: char > option_game] : ( Y5 @ Y8 @ Y9 @ Y7 )
@ Y6 )
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ X0
@ X1
@ X2 ) ),
inference(definition_unfolding,[],[f1243,f1839]) ).
thf(f1852,plain,
( ( ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( ^ [Y4: set_variable,Y5: set_variable] :
( collect_variable
@ ^ [Y6: variable] :
( ( member_variable @ Y6 @ Y4 )
& ( member_variable @ Y6 @ Y5 ) ) )
@ ( static_FVT @ Y3 )
@ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( ^ [Y4: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y5: produc62062515n_game,Y6: char] :
( produc692578258on_trm
@ ^ [Y7: char > option_trm,Y8: produc799602994n_game] : ( Y4 @ Y7 @ Y8 @ Y6 )
@ Y5 )
@ ^ [Y4: char > option_trm] :
( ^ [Y5: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y6: produc799602994n_game,Y7: char] :
( produc885547027on_trm
@ ^ [Y8: char > option_fml,Y9: char > option_game] : ( Y5 @ Y8 @ Y9 @ Y7 )
@ Y6 )
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ v
@ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) )
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(definition_unfolding,[],[f1245,f1839,f1251,f1253,f1476,f1251,f1253,f1251,f1253]) ).
thf(f1854,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( ^ [Y4: set_variable,Y5: set_variable] :
( collect_variable
@ ^ [Y6: variable] :
( ( member_variable @ Y6 @ Y4 )
& ( member_variable @ Y6 @ Y5 ) ) )
@ ( static_FVT @ Y3 )
@ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( ^ [Y4: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y5: produc62062515n_game,Y6: char] :
( produc692578258on_trm
@ ^ [Y7: char > option_trm,Y8: produc799602994n_game] : ( Y4 @ Y7 @ Y8 @ Y6 )
@ Y5 )
@ ^ [Y4: char > option_trm] :
( ^ [Y5: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y6: produc799602994n_game,Y7: char] :
( produc885547027on_trm
@ ^ [Y8: char > option_fml,Y9: char > option_game] : ( Y5 @ Y8 @ Y9 @ Y7 )
@ Y6 )
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ u
@ f ) )
| ( bot_bot_set_variable
!= ( ^ [Y0: set_variable,Y1: set_variable] :
( collect_variable
@ ^ [Y2: variable] :
( ( member_variable @ Y2 @ Y0 )
& ( member_variable @ Y2 @ Y1 ) ) )
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(definition_unfolding,[],[f1247,f1839,f1251,f1253,f1476,f1251,f1253,f1251,f1253]) ).
thf(f1986,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( ^ [Y4: set_variable,Y5: set_variable] :
( collect_variable
@ ^ [Y6: variable] :
( ( member_variable @ Y6 @ Y4 )
& ( member_variable @ Y6 @ Y5 ) ) )
@ ( static_FVT @ Y3 )
@ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( ^ [Y4: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y5: produc62062515n_game,Y6: char] :
( produc692578258on_trm
@ ^ [Y7: char > option_trm,Y8: produc799602994n_game] : ( Y4 @ Y7 @ Y8 @ Y6 )
@ Y5 )
@ ^ [Y4: char > option_trm] :
( ^ [Y5: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y6: produc799602994n_game,Y7: char] :
( produc885547027on_trm
@ ^ [Y8: char > option_fml,Y9: char > option_game] : ( Y5 @ Y8 @ Y9 @ Y7 )
@ Y6 )
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ v
@ f ) ),
inference(definition_unfolding,[],[f1835,f1839]) ).
thf(f1987,plain,
( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( ^ [Y1: ( char > option_trm ) > produc799602994n_game > char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm,Y5: produc799602994n_game] : ( Y1 @ Y4 @ Y5 @ Y3 )
@ Y2 )
@ ^ [Y1: char > option_trm] :
( ^ [Y2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Y3: produc799602994n_game,Y4: char] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y2 @ Y5 @ Y6 @ Y4 )
@ Y3 )
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ),
inference(definition_unfolding,[],[f1834,f1251,f1253]) ).
thf(f2044,plain,
( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ),
inference(beta-eta_normalization,[],[f1987]) ).
thf(f2045,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) ),
inference(beta-eta_normalization,[],[f1986]) ).
thf(f2846,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( bot_bot_set_variable
!= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(beta-eta_normalization,[],[f1854]) ).
thf(f2848,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( bot_bot_set_variable
!= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(beta-eta_normalization,[],[f1852]) ).
thf(f2850,plain,
! [X2: char,X0: produc1418842292n_game,X1: set_variable] :
( ( uSubst516392818stappt @ X0 @ X1 @ ( const @ X2 ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ X0
@ X2 ) )
@ ( some_trm @ ( const @ X2 ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ X0
@ X2 ) ) ) )
& ( member_variable @ Y0 @ X1 ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ X0
@ X2 ) ) )
@ none_trm ) ) ),
inference(beta-eta_normalization,[],[f1850]) ).
thf(f2852,plain,
( ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(beta-eta_normalization,[],[f1848]) ).
thf(f2853,plain,
( ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(beta-eta_normalization,[],[f1847]) ).
thf(f15899,plain,
( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) ),
inference(forward_subsumption_resolution,[],[f2852,f2044]) ).
thf(f16015,plain,
( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) ),
inference(forward_subsumption_resolution,[],[f2853,f2044]) ).
thf(f17447,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ),
inference(constrained_superposition,[],[f2045,f2850]) ).
thf(f18804,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(forward_subsumption_resolution,[],[f2846,f16015]) ).
thf(f18805,plain,
( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ u ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) ),
inference(forward_subsumption_resolution,[],[f18804,f2044]) ).
thf(f18806,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ) ),
inference(forward_demodulation,[],[f18805,f2850]) ).
thf(f18917,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ),
inference(forward_subsumption_resolution,[],[f2848,f15899]) ).
thf(f18918,plain,
( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( collect_variable
@ ^ [Y0: variable] :
( ( member_variable @ Y0
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y1: char > option_trm,Y2: produc62062515n_game,Y3: char] :
( produc692578258on_trm
@ ^ [Y4: char > option_trm] :
( produc885547027on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : ( Y1 @ Y3 ) )
@ Y2 )
@ sigma
@ f ) ) ) )
& ( member_variable @ Y0 @ v ) ) ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) )
@ none_trm ) ) ),
inference(forward_subsumption_resolution,[],[f18917,f2044]) ).
thf(f18919,plain,
( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm,Y1: produc62062515n_game,Y2: char] :
( produc692578258on_trm
@ ^ [Y3: char > option_trm] :
( produc885547027on_trm
@ ^ [Y4: char > option_fml,Y5: char > option_game] : ( Y0 @ Y2 ) )
@ Y1 )
@ sigma
@ f ) ) ) ),
inference(forward_demodulation,[],[f18918,f2850]) ).
thf(f18920,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ),
inference(forward_demodulation,[],[f18919,f18806]) ).
thf(f18921,plain,
$false,
inference(forward_subsumption_resolution,[],[f18920,f17447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP202^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:13:58 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 7.14/1.38 % (1118566)Will run a generic schedule for satisfiability detection.
% 7.14/1.38 % (1118577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2784631300:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.14/1.38 % (1118572)% WARNING: option uhcvi not known.
% 7.14/1.38 % (1118575)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4000190411:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.14/1.38 % (1118571)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=615014931_2999 on theBenchmark for (2999ds/0Mi)
% 7.14/1.38 % (1118572)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=595294994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.14/1.38 % (1118574)dis+10_1_sil=32000:sp=arity:random_seed=590639444:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.14/1.38 % (1118573)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3429192494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.14/1.38 % (1118576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1075687812:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.14/1.38 % (1118572)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.14/1.38 % (1118575)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.14/1.38 % (1118577)Instruction limit reached!
% 7.14/1.38 % (1118577)------------------------------
% 7.14/1.38 % (1118577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.38 % (1118577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.38 % (1118577)CaDiCaL version: 2.1.3
% 7.14/1.38 % (1118577)Termination reason: Instruction limit
% 7.14/1.38 % (1118577)Termination phase: Property scanning
% 7.14/1.38 % (1118577)Time elapsed: 0.037 s
% 7.14/1.38 % (1118577)Peak memory usage: 12 MB
% 7.14/1.38 % (1118577)Instructions burned: 164 (million)
% 7.14/1.38 % (1118585)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1028445742:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.14/1.38 % (1118574)Instruction limit reached!
% 7.14/1.38 % (1118574)------------------------------
% 7.14/1.38 % (1118574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.38 % (1118574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.38 % (1118574)CaDiCaL version: 2.1.3
% 7.14/1.38 % (1118574)Termination reason: Instruction limit
% 7.14/1.38 % (1118574)Termination phase: Property scanning
% 7.14/1.38 % (1118574)Time elapsed: 0.049 s
% 7.14/1.38 % (1118574)Peak memory usage: 12 MB
% 7.14/1.38 % (1118574)Instructions burned: 104 (million)
% 7.14/1.38 % (1118587)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3847416133:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.14/1.38 % (1118572)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.14/1.38 % Exception at run slice level
% 7.14/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.14/1.38 % (1118575)Instruction limit reached!
% 7.14/1.38 % (1118575)------------------------------
% 7.14/1.38 % (1118575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.38 % (1118575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.38 % (1118575)CaDiCaL version: 2.1.3
% 7.14/1.38 % (1118575)Termination reason: Instruction limit
% 7.14/1.38 % (1118575)Termination phase: Property scanning
% 7.14/1.38 % (1118575)Time elapsed: 0.082 s
% 7.14/1.38 % (1118575)Peak memory usage: 12 MB
% 7.14/1.38 % (1118575)Instructions burned: 116 (million)
% 7.14/1.38 % (1118576)Instruction limit reached!
% 7.14/1.38 % (1118576)------------------------------
% 7.14/1.38 % (1118576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.38 % (1118576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.38 % (1118576)CaDiCaL version: 2.1.3
% 7.14/1.38 % (1118576)Termination reason: Instruction limit
% 7.14/1.38 % (1118576)Termination phase: Property scanning
% 7.14/1.38 % (1118576)Time elapsed: 0.079 s
% 7.14/1.38 % (1118576)Peak memory usage: 12 MB
% 7.14/1.38 % (1118576)Instructions burned: 131 (million)
% 7.14/1.38 % Exception at run slice level
% 7.14/1.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.14/1.38 % (1118592)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=6824909:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.52/3.32 % (1118591)ott-21_1_sil=16000:fs=off:random_seed=2030498651:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.52/3.32 % (1118590)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=529844945:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.52/3.32 % (1118593)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1740736651:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 21.52/3.32 % (1118587)Instruction limit reached!
% 21.52/3.32 % (1118587)------------------------------
% 21.52/3.32 % (1118587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118587)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118587)Termination reason: Instruction limit
% 21.52/3.32 % (1118587)Termination phase: Property scanning
% 21.52/3.32 % (1118587)Time elapsed: 0.082 s
% 21.52/3.32 % (1118587)Peak memory usage: 12 MB
% 21.52/3.32 % (1118587)Instructions burned: 131 (million)
% 21.52/3.32 % (1118590)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.52/3.32 % (1118599)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1156409089:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118601)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3280126787:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 21.52/3.32 % (1118590)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.52/3.32 % (1118591)Instruction limit reached!
% 21.52/3.32 % (1118591)------------------------------
% 21.52/3.32 % (1118591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118591)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118591)Termination reason: Instruction limit
% 21.52/3.32 % (1118591)Termination phase: Saturation
% 21.52/3.32 % (1118591)Time elapsed: 0.141 s
% 21.52/3.32 % (1118591)Peak memory usage: 13 MB
% 21.52/3.32 % (1118591)Instructions burned: 181 (million)
% 21.52/3.32 % (1118603)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=421334277:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 21.52/3.32 % (1118592)Instruction limit reached!
% 21.52/3.32 % (1118592)------------------------------
% 21.52/3.32 % (1118592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118592)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118592)Termination reason: Instruction limit
% 21.52/3.32 % (1118592)Termination phase: Saturation
% 21.52/3.32 % (1118592)Time elapsed: 0.214 s
% 21.52/3.32 % (1118592)Peak memory usage: 15 MB
% 21.52/3.32 % (1118592)Instructions burned: 477 (million)
% 21.52/3.32 % (1118603)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118605)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=193491238:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 21.52/3.32 % (1118605)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.52/3.32 % (1118607)fmb+10_1_sil=64000:random_seed=1113889976:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 21.52/3.32 % (1118590)Instruction limit reached!
% 21.52/3.32 % (1118590)------------------------------
% 21.52/3.32 % (1118590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118590)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118590)Termination reason: Instruction limit
% 21.52/3.32 % (1118590)Termination phase: Saturation
% 21.52/3.32 % (1118590)Time elapsed: 0.339 s
% 21.52/3.32 % (1118590)Peak memory usage: 15 MB
% 21.52/3.32 % (1118590)Instructions burned: 684 (million)
% 21.52/3.32 % (1118607)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.52/3.32 % (1118609)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=355236892:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118611)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1957257903:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118613)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1794185822:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 21.52/3.32 % (1118613)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118615)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1653781264:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 21.52/3.32 % (1118615)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.52/3.32 % (1118615)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.52/3.32 % (1118603)Instruction limit reached!
% 21.52/3.32 % (1118603)------------------------------
% 21.52/3.32 % (1118603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118603)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118603)Termination reason: Instruction limit
% 21.52/3.32 % (1118603)Termination phase: Saturation
% 21.52/3.32 % (1118603)Time elapsed: 0.516 s
% 21.52/3.32 % (1118603)Peak memory usage: 17 MB
% 21.52/3.32 % (1118603)Instructions burned: 693 (million)
% 21.52/3.32 % (1118617)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=506761669:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 21.52/3.32 % (1118599)Instruction limit reached!
% 21.52/3.32 % (1118599)------------------------------
% 21.52/3.32 % (1118599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118599)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118599)Termination reason: Instruction limit
% 21.52/3.32 % (1118599)Termination phase: Saturation
% 21.52/3.32 % (1118599)Time elapsed: 0.705 s
% 21.52/3.32 % (1118599)Peak memory usage: 21 MB
% 21.52/3.32 % (1118599)Instructions burned: 1180 (million)
% 21.52/3.32 % (1118619)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=284212692:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118605)Instruction limit reached!
% 21.52/3.32 % (1118605)------------------------------
% 21.52/3.32 % (1118605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118605)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118605)Termination reason: Instruction limit
% 21.52/3.32 % (1118605)Termination phase: Saturation
% 21.52/3.32 % (1118605)Time elapsed: 0.562 s
% 21.52/3.32 % (1118605)Peak memory usage: 20 MB
% 21.52/3.32 % (1118605)Instructions burned: 880 (million)
% 21.52/3.32 % (1118622)ott+10_1_sil=32000:tgt=ground:random_seed=3640085733:i=5114:av=off_2990 on theBenchmark for (2990ds/5114Mi)
% 21.52/3.32 % (1118621)ott-2_1_sil=16000:newcnf=on:random_seed=3396883992:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 21.52/3.32 % (1118621)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118625)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3745066814:i=54282_2989 on theBenchmark for (2989ds/54282Mi)
% 21.52/3.32 % Exception at run slice level
% 21.52/3.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.32 % (1118627)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4193195350:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 21.52/3.32 % (1118627)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.52/3.32 % (1118621)Instruction limit reached!
% 21.52/3.32 % (1118621)------------------------------
% 21.52/3.32 % (1118621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118621)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118621)Termination reason: Instruction limit
% 21.52/3.32 % (1118621)Termination phase: Saturation
% 21.52/3.32 % (1118621)Time elapsed: 0.404 s
% 21.52/3.32 % (1118621)Peak memory usage: 16 MB
% 21.52/3.32 % (1118621)Instructions burned: 872 (million)
% 21.52/3.32 % (1118615)Instruction limit reached!
% 21.52/3.32 % (1118615)------------------------------
% 21.52/3.32 % (1118615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.32 % (1118615)CaDiCaL version: 2.1.3
% 21.52/3.32 % (1118615)Termination reason: Instruction limit
% 21.52/3.32 % (1118615)Termination phase: Saturation
% 21.52/3.32 % (1118615)Time elapsed: 0.725 s
% 21.52/3.32 % (1118615)Peak memory usage: 21 MB
% 21.52/3.32 % (1118615)Instructions burned: 1473 (million)
% 21.52/3.32 % (1118629)dis+21_1_sil=32000:sas=cadical:random_seed=1892081093:i=3773:amm=off_2986 on theBenchmark for (2986ds/3773Mi)
% 21.52/3.32 % (1118630)ott+11_1_sil=16000:gs=on:random_seed=3473940462:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 21.52/3.32 % (1118630)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.52/3.32 % (1118622)Instruction limit reached!
% 21.52/3.32 % (1118622)------------------------------
% 21.52/3.32 % (1118622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.32 % (1118622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.33 % (1118622)CaDiCaL version: 2.1.3
% 21.52/3.33 % (1118622)Termination reason: Instruction limit
% 21.52/3.33 % (1118622)Termination phase: Saturation
% 21.52/3.33 % (1118622)Time elapsed: 1.345 s
% 21.52/3.33 % (1118622)Peak memory usage: 50 MB
% 21.52/3.33 % (1118622)Instructions burned: 5118 (million)
% 21.52/3.33 % (1118642)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3546118536:fmbsr=1.6:i=67534_2976 on theBenchmark for (2976ds/67534Mi)
% 21.52/3.33 % Exception at run slice level
% 21.52/3.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.52/3.33 % (1118644)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=474288199:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2976 on theBenchmark for (2976ds/4591Mi)
% 21.52/3.33 % (1118630)Instruction limit reached!
% 21.52/3.33 % (1118630)------------------------------
% 21.52/3.33 % (1118630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.33 % (1118630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.33 % (1118630)CaDiCaL version: 2.1.3
% 21.52/3.33 % (1118630)Termination reason: Instruction limit
% 21.52/3.33 % (1118630)Termination phase: Saturation
% 21.52/3.33 % (1118630)Time elapsed: 1.041 s
% 21.52/3.33 % (1118630)Peak memory usage: 27 MB
% 21.52/3.33 % (1118630)Instructions burned: 2252 (million)
% 21.52/3.33 % (1118646)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3756492928:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 21.52/3.33 % (1118613) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1118566-1118613"...
% 21.52/3.33 % (1118613)...printing done.
% 21.52/3.33 % (1118613)Refutation found. Thanks to Tanya!
% 21.52/3.33 % SZS status Theorem for theBenchmark
% 21.52/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 21.52/3.33 % (1118613)------------------------------
% 21.52/3.33 % (1118613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.33 % (1118613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.33 % (1118613)CaDiCaL version: 2.1.3
% 21.52/3.33 % (1118613)Termination reason: Refutation
% 21.52/3.33 % (1118613)Time elapsed: 2.452 s
% 21.52/3.33 % (1118613)Peak memory usage: 28 MB
% 21.52/3.33 % (1118613)Instructions burned: 4480 (million)
% 21.52/3.33 % (1118566)Success in time 3.091 s
% 21.52/3.33 % Vampire exiting
%------------------------------------------------------------------------------