TSTP Solution File: ITP284^3 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP284^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu May 18 11:23:21 EDT 2023
% Result : Unknown 1.79s 2.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP284^3 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 Computer : n016.cluster.edu
% 0.13/0.35 Model : x86_64 x86_64
% 0.13/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 RAMPerCPU : 8042.1875MB
% 0.13/0.35 OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed May 3 10:06:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.37 Python 2.7.5
% 0.37/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xaf1e60>, <kernel.Type object at 0xaf1cf8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc5542196010084753463at_nat:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xaf1c20>, <kernel.Type object at 0xaf1ea8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc5491161045314408544at_nat:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xaf1bd8>, <kernel.Type object at 0x2b0affc648c0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc1193250871479095198on_num:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xaf1c20>, <kernel.Type object at 0x2b0affc64ea8>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc8306885398267862888on_nat:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xaf1c20>, <kernel.Type object at 0xaf1ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc6121120109295599847at_nat:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0x2b0affc407e8>, <kernel.Type object at 0xb13050>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc3368934014287244435at_num:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0x2b0affc64ea8>, <kernel.Type object at 0xb138c0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc4471711990508489141at_nat:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0x2b0affc64ea8>, <kernel.Type object at 0xb13290>) of role type named ty_n_t__itself_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Onum1_J_J_J_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring itself8794530163899892676l_num1:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0x2b0affc64b48>, <kernel.Type object at 0xb13440>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc7036089656553540234on_num:Type
% 0.37/0.63 FOF formula (<kernel.Constant object at 0xb13170>, <kernel.Type object at 0xb130e0>) of role type named ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_Mt__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J_J
% 0.37/0.63 Using role type
% 0.37/0.63 Declaring produc2233624965454879586on_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb13cb0>, <kernel.Type object at 0xb13ef0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring option936205604648967762et_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb13b90>, <kernel.Type object at 0xb13170>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring set_Pr3948176798113811640et_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb139e0>, <kernel.Type object at 0xb13a70>) of role type named ty_n_t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc3658429121746597890et_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb13b90>, <kernel.Type object at 0x2b0affc47320>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____BuildupMemImp__OVEBTi_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring list_P785718909624839377_VEBTi:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb13b90>, <kernel.Type object at 0x2b0affc474d0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____BuildupMemImp__OVEBTi_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring list_P735349106241217576_VEBTi:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0xb139e0>, <kernel.Type object at 0x2b0affc477e8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring list_P5988454224134618948T_VEBT:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47b90>, <kernel.Type object at 0x2b0affc475a8>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring list_P7413028617227757229T_VEBT:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47f80>, <kernel.Type object at 0x2b0affc47290>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc3447558737645232053on_num:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47440>, <kernel.Type object at 0x2b0affc47b90>) of role type named ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc4953844613479565601on_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc473b0>, <kernel.Type object at 0x2b0affc479e0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc2963631642982155120at_num:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47440>, <kernel.Type object at 0x2b0affc47f80>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc7248412053542808358at_nat:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47950>, <kernel.Type object at 0x2b0affc473b0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____BuildupMemImp__OVEBTi_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc3777764054643897931_VEBTi:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc472d8>, <kernel.Type object at 0x2b0affc47440>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__Real__Oreal_J_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring list_P8536626330812492744i_real:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47c68>, <kernel.Type object at 0x2b0affc47950>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____BuildupMemImp__OVEBTi_J
% 0.37/0.64 Using role type
% 0.37/0.64 Declaring produc3625547720036274456_VEBTi:Type
% 0.37/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47c20>, <kernel.Type object at 0x2b0affc472d8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc2810682830582626868T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0affc477a0>, <kernel.Type object at 0x2b0affc47c68>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P2623026923184700063T_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47b00>, <kernel.Type object at 0x2b0affc47c20>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P7037539587688870467BT_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47b48>, <kernel.Type object at 0xb0eea8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc8243902056947475879T_VEBT:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0affc47b48>, <kernel.Type object at 0x2b0affc47c20>) of role type named ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc8923325533196201883nteger:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0af8167cf8>, <kernel.Type object at 0x2b0affc47b00>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring heap_T5317711798761887292on_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0x2b0af8167cf8>, <kernel.Type object at 0xb16128>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring heap_T4980287057938770641_VEBTi:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb0ef38>, <kernel.Type object at 0xb16cb0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P8833571063612306856EBTi_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb0efc8>, <kernel.Type object at 0xb16830>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P3126845725202233233VEBT_o:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16dd0>, <kernel.Type object at 0xb16e60>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__Real__Oreal_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring produc6680258955013199682i_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16710>, <kernel.Type object at 0xb16950>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option2661157926820139483um_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16b90>, <kernel.Type object at 0xb16dd0>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option642762832853965969at_num:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16ef0>, <kernel.Type object at 0xb16050>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option4927543243414619207at_nat:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16b90>, <kernel.Type object at 0xb16710>) of role type named ty_n_t__Option__Ooption_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring option4624381673175914239nt_int:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb16170>, <kernel.Type object at 0xb16ef0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P8689742595348180415l_real:Type
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xb161b8>, <kernel.Type object at 0xb16b90>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J_J
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring list_P6834414599653733731al_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb165f0>, <kernel.Type object at 0xb16170>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P4344331454722006975al_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb167a0>, <kernel.Type object at 0xb11e18>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Real__Oreal_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P3644420460460130531t_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb167a0>, <kernel.Type object at 0xb113f8>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc5170161368751668367T_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb165f0>, <kernel.Type object at 0xb113b0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P3744719386663036955um_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb11c20>, <kernel.Type object at 0xc88290>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc9072475918466114483BT_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb11fc8>, <kernel.Type object at 0xc882d8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr8218934625190621173um_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb11fc8>, <kernel.Type object at 0xc88200>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr6200539531224447659at_num:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xb11c20>, <kernel.Type object at 0xc88170>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr1261947904930325089at_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc880e0>, <kernel.Type object at 0xc88128>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring set_Pr958786334691620121nt_int:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc88098>, <kernel.Type object at 0xc881b8>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__Option__Ooption_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring heap_T2636463487746394924on_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc88050>, <kernel.Type object at 0xc880e0>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring heap_T8145700208782473153_VEBTi:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc883b0>, <kernel.Type object at 0xc88440>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_M_Eo_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring produc5014006835512566296EBTi_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc88050>, <kernel.Type object at 0xc88098>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P3595434254542482545real_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc884d0>, <kernel.Type object at 0xc883b0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P5232166724548748803o_real:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc88560>, <kernel.Type object at 0xc88050>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring heap_T290393402774840812st_nat:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc884d0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P7333126701944960589_nat_o:Type
% 0.46/0.65 FOF formula (<kernel.Constant object at 0xc88680>, <kernel.Type object at 0xc88560>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.46/0.65 Using role type
% 0.46/0.65 Declaring list_P6285523579766656935_o_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88710>, <kernel.Type object at 0xc885f0>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_P3795440434834930179_o_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88680>, <kernel.Type object at 0xc88560>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__VEBT____Definitions__OVEBT_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_VEBT_VEBT:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88710>, <kernel.Type object at 0xc887a0>) of role type named ty_n_t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring produc334124729049499915VEBT_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88680>) of role type named ty_n_t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring heap_e7401611519738050253t_unit:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88710>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__List__Olist_I_Eo_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring heap_T844314716496656296list_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88680>) of role type named ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring product_prod_num_num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88998>, <kernel.Type object at 0xc88a70>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring product_prod_nat_num:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88b00>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring product_prod_nat_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88b48>) of role type named ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring product_prod_int_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88998>) of role type named ty_n_t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_P4002435161011370285od_o_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88b48>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Complex__Ocomplex_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xc88c20>) of role type named ty_n_t__Heap__Oarray_It__Option__Ooption_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring array_option_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88cb0>) of role type named ty_n_t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_option_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88cf8>) of role type named ty_n_t__Heap__Oarray_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring array_VEBT_VEBTi:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xc88d40>) of role type named ty_n_t__Option__Ooption_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_set_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88d88>) of role type named ty_n_t__Option__Ooption_It__Code____Numeral__Ointeger_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_Code_integer:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88dd0>) of role type named ty_n_t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_VEBT_VEBTi:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xc88e18>) of role type named ty_n_t__Set__Oset_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_VEBT_VEBTi:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88e60>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Real__Oreal_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88ea8>) of role type named ty_n_t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_VEBT_VEBT:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xc88ef0>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__Nat__Onat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring heap_Time_Heap_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc885f0>, <kernel.Type object at 0xc88f38>) of role type named ty_n_t__Heap____Time____Monad__OHeap_It__Int__Oint_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring heap_Time_Heap_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc888c0>, <kernel.Type object at 0xc88f80>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xc88f38>) of role type named ty_n_t__Set__Oset_It__List__Olist_It__Int__Oint_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_int:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88f80>, <kernel.Type object at 0xafc098>) of role type named ty_n_t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_VEBT_VEBT:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88f38>, <kernel.Type object at 0xafc098>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_set_nat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88fc8>, <kernel.Type object at 0xafc050>) of role type named ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_Code_integer:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xafc128>) of role type named ty_n_t__Set__Oset_It__Numeral____Type__Onum0_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_Numeral_num0:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88f38>, <kernel.Type object at 0xafc170>) of role type named ty_n_t__itself_It__Numeral____Type__Onum0_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring itself_Numeral_num0:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88a70>, <kernel.Type object at 0xafc1b8>) of role type named ty_n_t__List__Olist_It__Complex__Ocomplex_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring list_complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88fc8>, <kernel.Type object at 0xafc200>) of role type named ty_n_t__Heap____Time____Monad__OHeap_I_Eo_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring heap_Time_Heap_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xc88fc8>, <kernel.Type object at 0xafc248>) of role type named ty_n_t__Set__Oset_It__List__Olist_I_Eo_J_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_list_o:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc290>) of role type named ty_n_t__Set__Oset_It__Complex__Ocomplex_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_complex:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc2d8>) of role type named ty_n_t__Option__Ooption_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafc320>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring filter_real:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc368>) of role type named ty_n_t__Set__Oset_It__String__Oliteral_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring set_literal:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc3b0>) of role type named ty_n_t__itself_It__Enum__Ofinite____3_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring itself_finite_3:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafc3f8>) of role type named ty_n_t__itself_It__Enum__Ofinite____2_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring itself_finite_2:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc440>) of role type named ty_n_t__Option__Ooption_It__Rat__Orat_J
% 0.46/0.66 Using role type
% 0.46/0.66 Declaring option_rat:Type
% 0.46/0.66 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc488>) of role type named ty_n_t__Option__Ooption_It__Num__Onum_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring option_num:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafc4d0>) of role type named ty_n_t__Option__Ooption_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring option_nat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc518>) of role type named ty_n_t__Option__Ooption_It__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring option_int:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc560>) of role type named ty_n_t__Filter__Ofilter_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring filter_nat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafc5a8>) of role type named ty_n_t__VEBT____BuildupMemImp__OVEBTi
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring vEBT_VEBTi:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc5f0>) of role type named ty_n_t__Set__Oset_It__String__Ochar_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_char:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc638>) of role type named ty_n_t__List__Olist_It__Real__Oreal_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring list_real:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafc680>) of role type named ty_n_t__Heap__Oarray_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring array_nat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc6c8>) of role type named ty_n_t__Heap__Oarray_It__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring array_int:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafc680>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_real:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc758>) of role type named ty_n_t__List__Olist_It__Num__Onum_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring list_num:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc7e8>) of role type named ty_n_t__List__Olist_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring list_nat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc638>, <kernel.Type object at 0xafc830>) of role type named ty_n_t__List__Olist_It__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring list_int:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafc878>) of role type named ty_n_t__VEBT____Definitions__OVEBT
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring vEBT_VEBT:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc8c0>) of role type named ty_n_t__Set__Oset_It__Rat__Orat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_rat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafc908>) of role type named ty_n_t__Set__Oset_It__Num__Onum_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_num:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc638>, <kernel.Type object at 0xafc950>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_nat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafc998>) of role type named ty_n_t__Set__Oset_It__Int__Oint_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring set_int:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc9e0>) of role type named ty_n_t__Code____Numeral__Ointeger
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring code_integer:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc0e0>, <kernel.Type object at 0xafca28>) of role type named ty_n_t__Extended____Nat__Oenat
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring extended_enat:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafc998>) of role type named ty_n_t__Heap__Oarray_I_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring array_o:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafcab8>) of role type named ty_n_t__List__Olist_I_Eo_J
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring list_o:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafc9e0>) of role type named ty_n_t__Complex__Ocomplex
% 0.46/0.67 Using role type
% 0.46/0.67 Declaring complex:Type
% 0.46/0.67 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafcb00>) of role type named ty_n_t__Assertions__Oassn
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring assn:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafcb48>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring set_o:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafcb90>) of role type named ty_n_t__Uint32__Ouint32
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring uint32:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafcbd8>) of role type named ty_n_t__String__Ochar
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring char:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafcc20>) of role type named ty_n_t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring real:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafcc68>) of role type named ty_n_t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring rat:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc128>, <kernel.Type object at 0xafccb0>) of role type named ty_n_t__Num__Onum
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring num:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc050>, <kernel.Type object at 0xafccf8>) of role type named ty_n_t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring nat:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.Type object at 0xafcd40>) of role type named ty_n_t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring int:Type
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc098>, <kernel.DependentProduct object at 0xafcef0>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim2889992004027027881ng_rat:(rat->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcd88>, <kernel.DependentProduct object at 0xafcf80>) of role type named sy_c_Archimedean__Field_Oceiling_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim7802044766580827645g_real:(real->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcef0>, <kernel.DependentProduct object at 0xb00050>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim3151403230148437115or_rat:(rat->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcf80>, <kernel.DependentProduct object at 0xb000e0>) of role type named sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim6058952711729229775r_real:(real->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcf38>, <kernel.DependentProduct object at 0xb00170>) of role type named sy_c_Archimedean__Field_Oround_001t__Rat__Orat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim7778729529865785530nd_rat:(rat->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcf38>, <kernel.DependentProduct object at 0xb00200>) of role type named sy_c_Archimedean__Field_Oround_001t__Real__Oreal
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring archim8280529875227126926d_real:(real->int)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafc638>, <kernel.DependentProduct object at 0xb00050>) of role type named sy_c_Array__Time_Ofreeze_001t__VEBT____BuildupMemImp__OVEBTi
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring array_8141364883501958055_VEBTi:(array_VEBT_VEBTi->heap_T4980287057938770641_VEBTi)
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcf38>, <kernel.DependentProduct object at 0xb000e0>) of role type named sy_c_Array__Time_Onth_001_Eo
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring array_nth_o:(array_o->(nat->heap_Time_Heap_o))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcd88>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Array__Time_Onth_001t__Int__Oint
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring array_nth_int:(array_int->(nat->heap_Time_Heap_int))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xafcd88>, <kernel.DependentProduct object at 0xb00320>) of role type named sy_c_Array__Time_Onth_001t__Nat__Onat
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring array_nth_nat:(array_nat->(nat->heap_Time_Heap_nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xb003b0>, <kernel.DependentProduct object at 0xb003f8>) of role type named sy_c_Array__Time_Onth_001t__Option__Ooption_It__Nat__Onat_J
% 0.46/0.68 Using role type
% 0.46/0.68 Declaring array_nth_option_nat:(array_option_nat->(nat->heap_T2636463487746394924on_nat))
% 0.46/0.68 FOF formula (<kernel.Constant object at 0xb001b8>, <kernel.DependentProduct object at 0xb00200>) of role type named sy_c_Array__Time_Onth_001t__VEBT____BuildupMemImp__OVEBTi
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring array_nth_VEBT_VEBTi:(array_VEBT_VEBTi->(nat->heap_T8145700208782473153_VEBTi))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb002d8>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Assertions_Oassn_ORep__assn
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring rep_assn:(assn->(produc3658429121746597890et_nat->Prop))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb003b0>) of role type named sy_c_Assertions_Oentails
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring entails:(assn->(assn->Prop))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00200>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Assertions_Oex__assn_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring ex_ass463751140784270563_VEBTi:((list_VEBT_VEBTi->assn)->assn)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00560>) of role type named sy_c_Assertions_Opure__assn
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring pure_assn:(Prop->assn)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb000e0>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Assertions_Osnga__assn_001_Eo
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring snga_assn_o:(array_o->(list_o->assn))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00638>, <kernel.DependentProduct object at 0xb00200>) of role type named sy_c_Assertions_Osnga__assn_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring snga_assn_int:(array_int->(list_int->assn))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb006c8>, <kernel.DependentProduct object at 0xb00560>) of role type named sy_c_Assertions_Osnga__assn_001t__Nat__Onat
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring snga_assn_nat:(array_nat->(list_nat->assn))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00680>, <kernel.DependentProduct object at 0xb00638>) of role type named sy_c_Assertions_Osnga__assn_001t__Option__Ooption_It__Nat__Onat_J
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring snga_assn_option_nat:(array_option_nat->(list_option_nat->assn))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb006c8>) of role type named sy_c_Assertions_Osnga__assn_001t__VEBT____BuildupMemImp__OVEBTi
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring snga_assn_VEBT_VEBTi:(array_VEBT_VEBTi->(list_VEBT_VEBTi->assn))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00680>) of role type named sy_c_Automation_OFI__QUERY
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring fI_QUERY:(assn->(assn->(assn->Prop)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00200>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Binomial_Obinomial
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring binomial:(nat->(nat->nat))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00830>) of role type named sy_c_Bit__Comprehension_Obit__comprehension__class_Oset__bits_001t__Int__Oint
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring bit_bi6516823479961619367ts_int:((nat->Prop)->int)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb002d8>, <kernel.DependentProduct object at 0xb00200>) of role type named sy_c_Bit__Comprehension_Owf__set__bits__int
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring bit_wf_set_bits_int:((nat->Prop)->Prop)
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb003b0>, <kernel.DependentProduct object at 0xb002d8>) of role type named sy_c_Bit__Operations_Oand__int__rel
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring bit_and_int_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00200>) of role type named sy_c_Bit__Operations_Oand__not__num
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring bit_and_not_num:(num->(num->option_num))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00878>, <kernel.DependentProduct object at 0xb003b0>) of role type named sy_c_Bit__Operations_Oconcat__bit
% 0.51/0.69 Using role type
% 0.51/0.69 Declaring bit_concat_bit:(nat->(int->(int->int)))
% 0.51/0.69 FOF formula (<kernel.Constant object at 0xb00830>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Bit__Operations_Oor__not__num__neg
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_or_not_num_neg:(num->(num->num))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00998>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Onot_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_ri7919022796975470100ot_int:(int->int)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_ri6519982836138164636nteger:(nat->(code_integer->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00998>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Bit__Operations_Oring__bit__operations__class_Osigned__take__bit_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_ri631733984087533419it_int:(nat->(int->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se3949692690581998587nteger:(code_integer->(code_integer->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se725231765392027082nd_int:(int->(int->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00998>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oand_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se727722235901077358nd_nat:(nat->(nat->nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se3928097537394005634nteger:(nat->(code_integer->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se8568078237143864401it_int:(nat->(int->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00998>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Odrop__bit_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se8570568707652914677it_nat:(nat->(nat->nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb00998>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Code____Numeral__Ointeger
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se1345352211410354436nteger:(nat->(code_integer->code_integer))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb00368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se2159334234014336723it_int:(nat->(int->int))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00998>, <kernel.DependentProduct object at 0xb004d0>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oflip__bit_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se2161824704523386999it_nat:(nat->(nat->nat))
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb00368>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Int__Oint
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se2000444600071755411sk_int:(nat->int)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb07170>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Omask_001t__Nat__Onat
% 0.51/0.70 Using role type
% 0.51/0.70 Declaring bit_se2002935070580805687sk_nat:(nat->nat)
% 0.51/0.70 FOF formula (<kernel.Constant object at 0xb004d0>, <kernel.DependentProduct object at 0xb071b8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se1409905431419307370or_int:(int->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb00ef0>, <kernel.DependentProduct object at 0xb07248>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oor_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se1412395901928357646or_nat:(nat->(nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb071b8>, <kernel.DependentProduct object at 0xb072d8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Code____Numeral__Ointeger
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se7788150548672797655nteger:(nat->(code_integer->code_integer))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07170>, <kernel.DependentProduct object at 0xb07368>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se545348938243370406it_int:(nat->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07128>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Opush__bit_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se547839408752420682it_nat:(nat->(nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Code____Numeral__Ointeger
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se2793503036327961859nteger:(nat->(code_integer->code_integer))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se7879613467334960850it_int:(nat->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07128>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oset__bit_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se7882103937844011126it_nat:(nat->(nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se2923211474154528505it_int:(nat->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Otake__bit_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se2925701944663578781it_nat:(nat->(nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07128>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Code____Numeral__Ointeger
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se8260200283734997820nteger:(nat->(code_integer->code_integer))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se4203085406695923979it_int:(nat->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Ounset__bit_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se4205575877204974255it_nat:(nat->(nat->nat))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07128>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Int__Oint
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se6526347334894502574or_int:(int->(int->int))
% 0.51/0.71 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07128>) of role type named sy_c_Bit__Operations_Osemiring__bit__operations__class_Oxor_001t__Nat__Onat
% 0.51/0.71 Using role type
% 0.51/0.71 Declaring bit_se6528837805403552850or_nat:(nat->(nat->nat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Code____Numeral__Ointeger
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_se9216721137139052372nteger:(code_integer->(nat->Prop))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07128>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_se1146084159140164899it_int:(int->(nat->Prop))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07128>) of role type named sy_c_Bit__Operations_Osemiring__bits__class_Obit_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_se1148574629649215175it_nat:(nat->(nat->Prop))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Bit__Operations_Otake__bit__num
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_take_bit_num:(nat->(num->option_num))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07098>, <kernel.DependentProduct object at 0xb07b48>) of role type named sy_c_Bit__Shifts__Infix__Syntax_Osemiring__bit__operations__class_Oshiftl_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_Sh3965577149348748681tl_nat:(nat->(nat->nat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb07098>) of role type named sy_c_Bit__Shifts__Infix__Syntax_Osemiring__bit__operations__class_Oshiftr_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bit_Sh2154871086232339855tr_nat:(nat->(nat->nat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07290>, <kernel.DependentProduct object at 0xb07dd0>) of role type named sy_c_Bits__Integer_OBit__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bits_Bit_integer:(code_integer->(Prop->code_integer))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb07cf8>) of role type named sy_c_Bits__Integer_Obin__last__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bits_b8758750999018896077nteger:(code_integer->Prop)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07290>, <kernel.DependentProduct object at 0xb07e60>) of role type named sy_c_Bits__Integer_Obin__rest__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring bits_b2549910563261871055nteger:(code_integer->code_integer)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07c20>, <kernel.DependentProduct object at 0xb07290>) of role type named sy_c_Code__Numeral_Odivmod__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_divmod_integer:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07f80>, <kernel.DependentProduct object at 0xb073f8>) of role type named sy_c_Code__Numeral_Odup
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_dup:(code_integer->code_integer)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07290>, <kernel.DependentProduct object at 0xb07fc8>) of role type named sy_c_Code__Numeral_Ointeger_Oint__of__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_int_of_integer:(code_integer->int)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb07f38>) of role type named sy_c_Code__Numeral_Ointeger_Ointeger__of__int
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_integer_of_int:(int->code_integer)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07c20>, <kernel.DependentProduct object at 0xb09050>) of role type named sy_c_Code__Numeral_Ointeger__of__num
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_integer_of_num:(num->code_integer)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb073f8>, <kernel.DependentProduct object at 0xb09098>) of role type named sy_c_Code__Numeral_Onat__of__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_nat_of_integer:(code_integer->nat)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07f38>, <kernel.DependentProduct object at 0xb090e0>) of role type named sy_c_Code__Numeral_Onum__of__integer
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring code_num_of_integer:(code_integer->num)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07fc8>, <kernel.DependentProduct object at 0xb09128>) of role type named sy_c_Complex_OArg
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring arg:(complex->real)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07c20>, <kernel.DependentProduct object at 0xb09170>) of role type named sy_c_Complex_Ocis
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring cis:(real->complex)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07f38>, <kernel.DependentProduct object at 0xb091b8>) of role type named sy_c_Complex_Ocnj
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring cnj:(complex->complex)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb09098>) of role type named sy_c_Complex_Ocomplex_OComplex
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring complex2:(real->(real->complex))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07fc8>, <kernel.DependentProduct object at 0xb092d8>) of role type named sy_c_Complex_Ocomplex_OIm
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring im:(complex->real)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb09290>) of role type named sy_c_Complex_Ocomplex_ORe
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring re:(complex->real)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb07b48>, <kernel.DependentProduct object at 0xb09128>) of role type named sy_c_Complex_Ocsqrt
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring csqrt:(complex->complex)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09050>, <kernel.Constant object at 0xb092d8>) of role type named sy_c_Complex_Oimaginary__unit
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring imaginary_unit:complex
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb090e0>, <kernel.DependentProduct object at 0xb09098>) of role type named sy_c_Deriv_Odifferentiable_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring differ6690327859849518006l_real:((real->real)->(filter_real->Prop))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09050>, <kernel.DependentProduct object at 0xb09488>) of role type named sy_c_Deriv_Ohas__derivative_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring has_de1759254742604945161l_real:((real->real)->((real->real)->(filter_real->Prop)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09098>, <kernel.DependentProduct object at 0xb09440>) of role type named sy_c_Deriv_Ohas__field__derivative_001t__Real__Oreal
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring has_fi5821293074295781190e_real:((real->real)->(real->(filter_real->Prop)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb093b0>, <kernel.DependentProduct object at 0xb09560>) of role type named sy_c_Divides_Oadjust__div
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring adjust_div:(product_prod_int_int->int)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb092d8>, <kernel.DependentProduct object at 0xb09098>) of role type named sy_c_Divides_Odivmod__nat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring divmod_nat:(nat->(nat->product_prod_nat_nat))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09170>, <kernel.DependentProduct object at 0xb092d8>) of role type named sy_c_Divides_Oeucl__rel__int
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring eucl_rel_int:(int->(int->(product_prod_int_int->Prop)))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb093b0>, <kernel.DependentProduct object at 0xb09050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Code____Numeral__Ointeger
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring unique5706413561485394159nteger:(produc8923325533196201883nteger->Prop)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09170>, <kernel.DependentProduct object at 0xb095f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Int__Oint
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring unique6319869463603278526ux_int:(product_prod_int_int->Prop)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09050>, <kernel.DependentProduct object at 0xb09680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivides__aux_001t__Nat__Onat
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring unique6322359934112328802ux_nat:(product_prod_nat_nat->Prop)
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb095f0>, <kernel.DependentProduct object at 0xb09050>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Code____Numeral__Ointeger
% 0.51/0.72 Using role type
% 0.51/0.72 Declaring unique3479559517661332726nteger:(num->(num->produc8923325533196201883nteger))
% 0.51/0.72 FOF formula (<kernel.Constant object at 0xb09680>, <kernel.DependentProduct object at 0xb095f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring unique5052692396658037445od_int:(num->(num->product_prod_int_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09050>, <kernel.DependentProduct object at 0xb09680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring unique5055182867167087721od_nat:(num->(num->product_prod_nat_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb095f0>, <kernel.DependentProduct object at 0xb09950>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring unique4921790084139445826nteger:(num->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09680>, <kernel.DependentProduct object at 0xb095f0>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring unique5024387138958732305ep_int:(num->(product_prod_int_int->product_prod_int_int))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09950>, <kernel.DependentProduct object at 0xb09680>) of role type named sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring unique5026877609467782581ep_nat:(num->(product_prod_nat_nat->product_prod_nat_nat))
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb095f0>, <kernel.DependentProduct object at 0xb09050>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Code____Numeral__Ointeger
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri3624122377584611663nteger:(nat->code_integer)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09680>, <kernel.DependentProduct object at 0xb09b90>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri5044797733671781792omplex:(nat->complex)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09050>, <kernel.DependentProduct object at 0xb09c20>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Int__Oint
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri1406184849735516958ct_int:(nat->int)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09b90>, <kernel.DependentProduct object at 0xb09cb0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri1408675320244567234ct_nat:(nat->nat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09c20>, <kernel.DependentProduct object at 0xb09d40>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri773545260158071498ct_rat:(nat->rat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09cb0>, <kernel.DependentProduct object at 0xb09dd0>) of role type named sy_c_Factorial_Osemiring__char__0__class_Ofact_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring semiri2265585572941072030t_real:(nat->real)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09d40>, <kernel.DependentProduct object at 0xb09e60>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Complex__Ocomplex
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring invers8013647133539491842omplex:(complex->complex)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09998>, <kernel.DependentProduct object at 0xb09ef0>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring inverse_inverse_rat:(rat->rat)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09d88>, <kernel.DependentProduct object at 0xb09f38>) of role type named sy_c_Fields_Oinverse__class_Oinverse_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring inverse_inverse_real:(real->real)
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09e18>, <kernel.Constant object at 0xb09f38>) of role type named sy_c_Filter_Oat__bot_001t__Real__Oreal
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring at_bot_real:filter_real
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09ef0>, <kernel.Constant object at 0xb09f38>) of role type named sy_c_Filter_Oat__top_001t__Nat__Onat
% 0.51/0.73 Using role type
% 0.51/0.73 Declaring at_top_nat:filter_nat
% 0.51/0.73 FOF formula (<kernel.Constant object at 0xb09dd0>, <kernel.Constant object at 0xb09f38>) of role type named sy_c_Filter_Oat__top_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring at_top_real:filter_real
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09d40>, <kernel.DependentProduct object at 0xb09ef0>) of role type named sy_c_Filter_Oeventually_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring eventually_nat:((nat->Prop)->(filter_nat->Prop))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09f38>, <kernel.DependentProduct object at 0xc92050>) of role type named sy_c_Filter_Oeventually_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring eventually_real:((real->Prop)->(filter_real->Prop))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09ef0>, <kernel.DependentProduct object at 0xc92050>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring filterlim_nat_nat:((nat->nat)->(filter_nat->(filter_nat->Prop)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09d40>, <kernel.DependentProduct object at 0xc92098>) of role type named sy_c_Filter_Ofilterlim_001t__Nat__Onat_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring filterlim_nat_real:((nat->real)->(filter_real->(filter_nat->Prop)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09f38>, <kernel.DependentProduct object at 0xc92098>) of role type named sy_c_Filter_Ofilterlim_001t__Real__Oreal_001t__Real__Oreal
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring filterlim_real_real:((real->real)->(filter_real->(filter_real->Prop)))
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09e60>, <kernel.DependentProduct object at 0xc92290>) of role type named sy_c_Finite__Set_Ocard_001_Eo
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_o:(set_o->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09ef0>, <kernel.DependentProduct object at 0xc92050>) of role type named sy_c_Finite__Set_Ocard_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_complex:(set_complex->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09e60>, <kernel.DependentProduct object at 0xc921b8>) of role type named sy_c_Finite__Set_Ocard_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_int:(set_int->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xb09e60>, <kernel.DependentProduct object at 0xc922d8>) of role type named sy_c_Finite__Set_Ocard_001t__Nat__Onat
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_nat:(set_nat->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92128>, <kernel.DependentProduct object at 0xc92320>) of role type named sy_c_Finite__Set_Ocard_001t__Numeral____Type__Onum0
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite6454714172617411596l_num0:(set_Numeral_num0->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92248>, <kernel.DependentProduct object at 0xc923b0>) of role type named sy_c_Finite__Set_Ocard_001t__String__Ochar
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_char:(set_char->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc921b8>, <kernel.DependentProduct object at 0xc923f8>) of role type named sy_c_Finite__Set_Ocard_001t__String__Oliteral
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_card_literal:(set_literal->nat)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92200>, <kernel.DependentProduct object at 0xc92440>) of role type named sy_c_Finite__Set_Ofinite_001_Eo
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_finite_o:(set_o->Prop)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92248>, <kernel.DependentProduct object at 0xc92128>) of role type named sy_c_Finite__Set_Ofinite_001t__Code____Numeral__Ointeger
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite6017078050557962740nteger:(set_Code_integer->Prop)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92200>, <kernel.DependentProduct object at 0xc924d0>) of role type named sy_c_Finite__Set_Ofinite_001t__Complex__Ocomplex
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite3207457112153483333omplex:(set_complex->Prop)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92248>, <kernel.DependentProduct object at 0xc92560>) of role type named sy_c_Finite__Set_Ofinite_001t__Int__Oint
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_finite_int:(set_int->Prop)
% 0.51/0.74 FOF formula (<kernel.Constant object at 0xc92128>, <kernel.DependentProduct object at 0xc925a8>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_I_Eo_J
% 0.51/0.74 Using role type
% 0.51/0.74 Declaring finite_finite_list_o:(set_list_o->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92248>, <kernel.DependentProduct object at 0xc925f0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Complex__Ocomplex_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite8712137658972009173omplex:(set_list_complex->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc925a8>, <kernel.DependentProduct object at 0xc92680>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Int__Oint_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite3922522038869484883st_int:(set_list_int->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc925f0>, <kernel.DependentProduct object at 0xc92710>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite8100373058378681591st_nat:(set_list_nat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92680>, <kernel.DependentProduct object at 0xc927a0>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Real__Oreal_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite306553202115118035t_real:(set_list_real->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92710>, <kernel.DependentProduct object at 0xc92830>) of role type named sy_c_Finite__Set_Ofinite_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite3004134309566078307T_VEBT:(set_list_VEBT_VEBT->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92680>, <kernel.DependentProduct object at 0xc928c0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite_finite_nat:(set_nat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc927a0>, <kernel.DependentProduct object at 0xc92908>) of role type named sy_c_Finite__Set_Ofinite_001t__Num__Onum
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite_finite_num:(set_num->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92680>, <kernel.DependentProduct object at 0xc92950>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite2998713641127702882nt_int:(set_Pr958786334691620121nt_int->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc927a0>, <kernel.DependentProduct object at 0xc929e0>) of role type named sy_c_Finite__Set_Ofinite_001t__Rat__Orat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite_finite_rat:(set_rat->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92908>, <kernel.DependentProduct object at 0xc92a28>) of role type named sy_c_Finite__Set_Ofinite_001t__Real__Oreal
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite_finite_real:(set_real->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc927a0>, <kernel.DependentProduct object at 0xc92a70>) of role type named sy_c_Finite__Set_Ofinite_001t__VEBT____Definitions__OVEBT
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring finite5795047828879050333T_VEBT:(set_VEBT_VEBT->Prop)
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92a28>, <kernel.DependentProduct object at 0xc92908>) of role type named sy_c_Fun_Obij__betw_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bij_be1856998921033663316omplex:((complex->complex)->(set_complex->(set_complex->Prop)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92b90>, <kernel.DependentProduct object at 0xc92998>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bij_betw_nat_complex:((nat->complex)->(set_nat->(set_complex->Prop)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92bd8>, <kernel.DependentProduct object at 0xc927a0>) of role type named sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring bij_betw_nat_nat:((nat->nat)->(set_nat->(set_nat->Prop)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92cb0>, <kernel.DependentProduct object at 0xc92c68>) of role type named sy_c_Fun_Ocomp_001t__Nat__Onat_001_Eo_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring comp_nat_o_nat:((nat->Prop)->((nat->nat)->(nat->Prop)))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92cf8>, <kernel.DependentProduct object at 0xc92908>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat
% 0.56/0.75 Using role type
% 0.56/0.75 Declaring inj_on_nat_nat:((nat->nat)->(set_nat->Prop))
% 0.56/0.75 FOF formula (<kernel.Constant object at 0xc92c68>, <kernel.DependentProduct object at 0xc92a70>) of role type named sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring inj_on_nat_char:((nat->char)->(set_nat->Prop))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92908>, <kernel.DependentProduct object at 0xc92998>) of role type named sy_c_Fun_Oinj__on_001t__Real__Oreal_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring inj_on_real_real:((real->real)->(set_real->Prop))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92c68>, <kernel.DependentProduct object at 0xc92e18>) of role type named sy_c_Fun_Othe__inv__into_001t__Real__Oreal_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring the_in5290026491893676941l_real:(set_real->((real->real)->(real->real)))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92dd0>, <kernel.DependentProduct object at 0xc92ea8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring abs_abs_Code_integer:(code_integer->code_integer)
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92cb0>, <kernel.DependentProduct object at 0xc92e60>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Complex__Ocomplex
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring abs_abs_complex:(complex->complex)
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92a70>, <kernel.DependentProduct object at 0xc92cf8>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring abs_abs_int:(int->int)
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92e18>, <kernel.DependentProduct object at 0xc92ef0>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring abs_abs_rat:(rat->rat)
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92ea8>, <kernel.DependentProduct object at 0xc92f38>) of role type named sy_c_Groups_Oabs__class_Oabs_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring abs_abs_real:(real->real)
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92e18>, <kernel.DependentProduct object at 0xc92ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_8373710615458151222nteger:(code_integer->(code_integer->code_integer))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92f80>, <kernel.DependentProduct object at 0xc92f38>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Complex__Ocomplex
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_minus_complex:(complex->(complex->complex))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92e18>, <kernel.DependentProduct object at 0xc92ea8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Extended____Nat__Oenat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_3235023915231533773d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92cb0>, <kernel.DependentProduct object at 0xc92fc8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_minus_int:(int->(int->int))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92f38>, <kernel.DependentProduct object at 0xc971b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_minus_nat:(nat->(nat->nat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92cb0>, <kernel.DependentProduct object at 0xc97200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_minus_rat:(rat->(rat->rat))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc92fc8>, <kernel.DependentProduct object at 0xc97248>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Real__Oreal
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_minus_real:(real->(real->real))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc970e0>, <kernel.DependentProduct object at 0xc97290>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.57/0.76 Using role type
% 0.57/0.76 Declaring minus_2355218937544613996nteger:(set_Code_integer->(set_Code_integer->set_Code_integer))
% 0.57/0.76 FOF formula (<kernel.Constant object at 0xc971b8>, <kernel.DependentProduct object at 0xc97200>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.57/0.76 Using role type
% 0.57/0.77 Declaring minus_811609699411566653omplex:(set_complex->(set_complex->set_complex))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc92fc8>, <kernel.DependentProduct object at 0xc97050>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring minus_minus_set_int:(set_int->(set_int->set_int))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc970e0>, <kernel.DependentProduct object at 0xc97098>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring minus_minus_set_nat:(set_nat->(set_nat->set_nat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc973b0>, <kernel.DependentProduct object at 0xc971b8>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Num__Onum_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring minus_minus_set_num:(set_num->(set_num->set_num))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97128>, <kernel.DependentProduct object at 0xc970e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Real__Oreal_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring minus_minus_set_real:(set_real->(set_real->set_real))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc973b0>, <kernel.DependentProduct object at 0xc97128>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring minus_5127226145743854075T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97200>, <kernel.Constant object at 0xc97128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Assertions__Oassn
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_assn:assn
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97368>, <kernel.Constant object at 0xc97128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_Code_integer:code_integer
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97518>, <kernel.Constant object at 0xc97128>) of role type named sy_c_Groups_Oone__class_Oone_001t__Complex__Ocomplex
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_complex:complex
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97368>, <kernel.Constant object at 0xc971b8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nat__Oenat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_on7984719198319812577d_enat:extended_enat
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc972d8>, <kernel.Constant object at 0xc971b8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_int:int
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc975a8>, <kernel.Constant object at 0xc971b8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Nat__Onat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_nat:nat
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc975f0>, <kernel.Constant object at 0xc971b8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Rat__Orat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_rat:rat
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97638>, <kernel.Constant object at 0xc971b8>) of role type named sy_c_Groups_Oone__class_Oone_001t__Real__Oreal
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring one_one_real:real
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc975f0>, <kernel.DependentProduct object at 0xc97638>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring plus_p5714425477246183910nteger:(code_integer->(code_integer->code_integer))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc977a0>, <kernel.DependentProduct object at 0xc971b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Complex__Ocomplex
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring plus_plus_complex:(complex->(complex->complex))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc975f0>, <kernel.DependentProduct object at 0xc977a0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nat__Oenat
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring plus_p3455044024723400733d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.77 FOF formula (<kernel.Constant object at 0xc97878>, <kernel.DependentProduct object at 0xc971b8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint
% 0.57/0.77 Using role type
% 0.57/0.77 Declaring plus_plus_int:(int->(int->int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97680>, <kernel.DependentProduct object at 0xc975f0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring plus_plus_nat:(nat->(nat->nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97950>, <kernel.DependentProduct object at 0xc97878>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring plus_plus_num:(num->(num->num))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97638>, <kernel.DependentProduct object at 0xc97680>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring plus_plus_rat:(rat->(rat->rat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97830>, <kernel.DependentProduct object at 0xc97950>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring plus_plus_real:(real->(real->real))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc977a0>, <kernel.DependentProduct object at 0xc971b8>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring sgn_sgn_complex:(complex->complex)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97878>, <kernel.DependentProduct object at 0xc975f0>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring sgn_sgn_int:(int->int)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97680>, <kernel.DependentProduct object at 0xc97b00>) of role type named sy_c_Groups_Osgn__class_Osgn_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring sgn_sgn_real:(real->real)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97950>, <kernel.DependentProduct object at 0xc97878>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Assertions__Oassn
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_assn:(assn->(assn->assn))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97680>, <kernel.DependentProduct object at 0xc97950>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_3573771949741848930nteger:(code_integer->(code_integer->code_integer))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97b90>, <kernel.DependentProduct object at 0xc97878>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_complex:(complex->(complex->complex))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97680>, <kernel.DependentProduct object at 0xc97b90>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Extended____Nat__Oenat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_7803423173614009249d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97c68>, <kernel.DependentProduct object at 0xc97878>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_int:(int->(int->int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97b48>, <kernel.DependentProduct object at 0xc97680>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_nat:(nat->(nat->nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97d40>, <kernel.DependentProduct object at 0xc97c68>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Num__Onum
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_num:(num->(num->num))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97950>, <kernel.DependentProduct object at 0xc97b48>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_rat:(rat->(rat->rat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97c20>, <kernel.DependentProduct object at 0xc97d40>) of role type named sy_c_Groups_Otimes__class_Otimes_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring times_times_real:(real->(real->real))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97950>, <kernel.DependentProduct object at 0xc97878>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus1351360451143612070nteger:(code_integer->code_integer)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97d40>, <kernel.DependentProduct object at 0xc97ef0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus1482373934393186551omplex:(complex->complex)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97b90>, <kernel.DependentProduct object at 0xc97f80>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus_uminus_int:(int->int)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.DependentProduct object at 0xc97fc8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus_uminus_rat:(rat->rat)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97680>, <kernel.DependentProduct object at 0xc9a050>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus_uminus_real:(real->real)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.DependentProduct object at 0xc9a098>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Nat__Onat_J
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring uminus5710092332889474511et_nat:(set_nat->set_nat)
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97f80>, <kernel.Constant object at 0xc97680>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_z3403309356797280102nteger:code_integer
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.Constant object at 0xc97ef0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_zero_complex:complex
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ef0>, <kernel.Constant object at 0xc9a0e0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nat__Oenat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_z5237406670263579293d_enat:extended_enat
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.Constant object at 0xc9a128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_zero_int:int
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ef0>, <kernel.Constant object at 0xc9a128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_zero_nat:nat
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.Constant object at 0xc9a128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Rat__Orat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_zero_rat:rat
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc97ea8>, <kernel.Constant object at 0xc9a128>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring zero_zero_real:real
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Code____Numeral__Ointeger
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring groups6621422865394947399nteger:((complex->code_integer)->(set_complex->code_integer))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring groups7754918857620584856omplex:((complex->complex)->(set_complex->complex))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Int__Oint
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring groups5690904116761175830ex_int:((complex->int)->(set_complex->int))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring groups5693394587270226106ex_nat:((complex->nat)->(set_complex->nat))
% 0.57/0.78 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Rat__Orat
% 0.57/0.78 Using role type
% 0.57/0.78 Declaring groups5058264527183730370ex_rat:((complex->rat)->(set_complex->rat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups5808333547571424918x_real:((complex->real)->(set_complex->real))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Code____Numeral__Ointeger
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups7873554091576472773nteger:((int->code_integer)->(set_int->code_integer))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Complex__Ocomplex
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups3049146728041665814omplex:((int->complex)->(set_int->complex))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups4538972089207619220nt_int:((int->int)->(set_int->int))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups4541462559716669496nt_nat:((int->nat)->(set_int->nat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Rat__Orat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups3906332499630173760nt_rat:((int->rat)->(set_int->rat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Int__Oint_001t__Real__Oreal
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups8778361861064173332t_real:((int->real)->(set_int->real))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Code____Numeral__Ointeger
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups7501900531339628137nteger:((nat->code_integer)->(set_nat->code_integer))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Complex__Ocomplex
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups2073611262835488442omplex:((nat->complex)->(set_nat->complex))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Int__Oint
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups3539618377306564664at_int:((nat->int)->(set_nat->int))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Nat__Onat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups3542108847815614940at_nat:((nat->nat)->(set_nat->nat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Rat__Orat
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups2906978787729119204at_rat:((nat->rat)->(set_nat->rat))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Nat__Onat_001t__Real__Oreal
% 0.57/0.79 Using role type
% 0.57/0.79 Declaring groups6591440286371151544t_real:((nat->real)->(set_nat->real))
% 0.57/0.79 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Code____Numeral__Ointeger
% 0.57/0.79 Using role type
% 0.57/0.80 Declaring groups7713935264441627589nteger:((real->code_integer)->(set_real->code_integer))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Complex__Ocomplex
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring groups5754745047067104278omplex:((real->complex)->(set_real->complex))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0xc9a248>, <kernel.DependentProduct object at 0xc9a290>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Nat__Onat
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring groups1935376822645274424al_nat:((real->nat)->(set_real->nat))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0xc9a128>, <kernel.DependentProduct object at 0xc9a1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Rat__Orat
% 0.57/0.80 Using role type
% 0.57/0.80 Declaring groups1300246762558778688al_rat:((real->rat)->(set_real->rat))
% 0.57/0.80 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9a248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__Real__Oreal_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups8097168146408367636l_real:((real->real)->(set_real->real))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9a2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Code____Numeral__Ointeger
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups5748017345553531991nteger:((vEBT_VEBT->code_integer)->(set_VEBT_VEBT->code_integer))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9e0e0>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups1794756597179926696omplex:((vEBT_VEBT->complex)->(set_VEBT_VEBT->complex))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9a1b8>, <kernel.DependentProduct object at 0xc9e128>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups769130701875090982BT_int:((vEBT_VEBT->int)->(set_VEBT_VEBT->int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9a290>, <kernel.DependentProduct object at 0xc9e170>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups771621172384141258BT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e200>, <kernel.DependentProduct object at 0xc9e248>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Rat__Orat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups136491112297645522BT_rat:((vEBT_VEBT->rat)->(set_VEBT_VEBT->rat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e2d8>, <kernel.DependentProduct object at 0xc9e1b8>) of role type named sy_c_Groups__Big_Ocomm__monoid__add__class_Osum_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups2240296850493347238T_real:((vEBT_VEBT->real)->(set_VEBT_VEBT->real))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e290>, <kernel.DependentProduct object at 0xc9e200>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Int__Oint_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups1705073143266064639nt_int:((int->int)->(set_int->int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e368>, <kernel.DependentProduct object at 0xc9e3f8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Int__Oint
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups705719431365010083at_int:((nat->int)->(set_nat->int))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e290>, <kernel.DependentProduct object at 0xc9e2d8>) of role type named sy_c_Groups__Big_Ocomm__monoid__mult__class_Oprod_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring groups708209901874060359at_nat:((nat->nat)->(set_nat->nat))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0xc9e3f8>, <kernel.DependentProduct object at 0xc9e290>) of role type named sy_c_Groups__List_Ocomm__semiring__0__class_Ohorner__sum_001_Eo_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring groups9116527308978886569_o_int:((Prop->int)->(int->(list_o->int)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e320>, <kernel.DependentProduct object at 0xc9e6c8>) of role type named sy_c_HOL_OThe_001t__Real__Oreal
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring the_real:((real->Prop)->real)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e2d8>, <kernel.DependentProduct object at 0xc9e680>) of role type named sy_c_Heap_Oarray_Osize__array_001t__VEBT____BuildupMemImp__OVEBTi
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring size_a6397454172108246045_VEBTi:((vEBT_VEBTi->nat)->(array_VEBT_VEBTi->nat))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e290>, <kernel.DependentProduct object at 0xc9e5f0>) of role type named sy_c_Heap__Time__Monad_Oreturn_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring heap_Time_return_o:(Prop->heap_Time_Heap_o)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e320>, <kernel.DependentProduct object at 0xc9e7a0>) of role type named sy_c_Heap__Time__Monad_Oreturn_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring heap_Time_return_nat:(nat->heap_Time_Heap_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e290>, <kernel.DependentProduct object at 0xc9e320>) of role type named sy_c_Heap__Time__Monad_Oreturn_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring heap_T3487192422709364219on_nat:(option_nat->heap_T2636463487746394924on_nat)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e7a0>, <kernel.DependentProduct object at 0xc9e290>) of role type named sy_c_Heap__Time__Monad_Oreturn_001t__VEBT____BuildupMemImp__OVEBTi
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring heap_T3630416162098727440_VEBTi:(vEBT_VEBTi->heap_T8145700208782473153_VEBTi)
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e098>, <kernel.DependentProduct object at 0xc9e320>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001_Eo
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_hoare_triple_o:(assn->(heap_Time_Heap_o->((Prop->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e7a0>, <kernel.DependentProduct object at 0xc9e098>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__Int__Oint
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_3065115510600077593le_int:(assn->(heap_Time_Heap_int->((int->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e320>, <kernel.DependentProduct object at 0xc9ea70>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__List__Olist_I_Eo_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_9089481587091695345list_o:(assn->(heap_T844314716496656296list_o->((list_o->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e098>, <kernel.DependentProduct object at 0xc9eb00>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_7964568885773372237st_nat:(assn->(heap_T290393402774840812st_nat->((list_nat->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9ea70>, <kernel.DependentProduct object at 0xc9eb90>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_6480275734082232733on_nat:(assn->(heap_T5317711798761887292on_nat->((list_option_nat->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9eb00>, <kernel.DependentProduct object at 0xc9e7a0>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_3904069481286416050_VEBTi:(assn->(heap_T4980287057938770641_VEBTi->((list_VEBT_VEBTi->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9eb90>, <kernel.DependentProduct object at 0xc9eb00>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__Nat__Onat
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_3067605981109127869le_nat:(assn->(heap_Time_Heap_nat->((nat->assn)->Prop)))
% 0.62/0.81 FOF formula (<kernel.Constant object at 0xc9e7a0>, <kernel.DependentProduct object at 0xc9ed40>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.81 Using role type
% 0.62/0.81 Declaring hoare_7629718768684598413on_nat:(assn->(heap_T2636463487746394924on_nat->((option_nat->assn)->Prop)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9eb00>, <kernel.DependentProduct object at 0xc9edd0>) of role type named sy_c_Hoare__Triple_Ohoare__triple_001t__VEBT____BuildupMemImp__OVEBTi
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring hoare_1429296392585015714_VEBTi:(assn->(heap_T8145700208782473153_VEBTi->((vEBT_VEBTi->assn)->Prop)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e638>, <kernel.DependentProduct object at 0xc9e320>) of role type named sy_c_If_001t__Assertions__Oassn
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_assn:(Prop->(assn->(assn->assn)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e7e8>, <kernel.DependentProduct object at 0xc9e638>) of role type named sy_c_If_001t__Code____Numeral__Ointeger
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_Code_integer:(Prop->(code_integer->(code_integer->code_integer)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e908>, <kernel.DependentProduct object at 0xc9e320>) of role type named sy_c_If_001t__Complex__Ocomplex
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_complex:(Prop->(complex->(complex->complex)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9eea8>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__Int__Oint
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_int:(Prop->(int->(int->int)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9ee60>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__List__Olist_It__Int__Oint_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_list_int:(Prop->(list_int->(list_int->list_int)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9eef0>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__List__Olist_It__Nat__Onat_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_list_nat:(Prop->(list_nat->(list_nat->list_nat)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9efc8>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__Nat__Onat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_nat:(Prop->(nat->(nat->nat)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9ef80>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__Num__Onum
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_num:(Prop->(num->(num->num)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e638>, <kernel.DependentProduct object at 0xc9e908>) of role type named sy_c_If_001t__Option__Ooption_It__Nat__Onat_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_option_nat:(Prop->(option_nat->(option_nat->option_nat)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9ef80>, <kernel.DependentProduct object at 0xc9eef0>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_Pro6119634080678213985nteger:(Prop->(produc8923325533196201883nteger->(produc8923325533196201883nteger->produc8923325533196201883nteger)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e908>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_Pro3027730157355071871nt_int:(Prop->(product_prod_int_int->(product_prod_int_int->product_prod_int_int)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e908>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_Pro6206227464963214023at_nat:(Prop->(product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9edd0>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__Rat__Orat
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_rat:(Prop->(rat->(rat->rat)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9e908>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__Real__Oreal
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_real:(Prop->(real->(real->real)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9edd0>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__Set__Oset_It__Int__Oint_J
% 0.62/0.82 Using role type
% 0.62/0.82 Declaring if_set_int:(Prop->(set_int->(set_int->set_int)))
% 0.62/0.82 FOF formula (<kernel.Constant object at 0xc9edd0>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_If_001t__VEBT____Definitions__OVEBT
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring if_VEBT_VEBT:(Prop->(vEBT_VEBT->(vEBT_VEBT->vEBT_VEBT)))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca11b8>, <kernel.DependentProduct object at 0xca1098>) of role type named sy_c_Int_Oint__ge__less__than
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring int_ge_less_than:(int->set_Pr958786334691620121nt_int)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca13b0>, <kernel.DependentProduct object at 0xca1170>) of role type named sy_c_Int_Oint__ge__less__than2
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring int_ge_less_than2:(int->set_Pr958786334691620121nt_int)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1248>, <kernel.DependentProduct object at 0xca12d8>) of role type named sy_c_Int_Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring nat2:(int->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1170>, <kernel.Constant object at 0xca12d8>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Complex__Ocomplex
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_1_Ints_complex:set_complex
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca13b0>, <kernel.Constant object at 0xca12d8>) of role type named sy_c_Int_Oring__1__class_OInts_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_1_Ints_real:set_real
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1170>, <kernel.DependentProduct object at 0xca14d0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Code____Numeral__Ointeger
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_18347121197199848620nteger:(int->code_integer)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca12d8>, <kernel.DependentProduct object at 0xca1560>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Complex__Ocomplex
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_17405671764205052669omplex:(int->complex)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1200>, <kernel.DependentProduct object at 0xca15f0>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_1_of_int_int:(int->int)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1488>, <kernel.DependentProduct object at 0xca1638>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Rat__Orat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_1_of_int_rat:(int->rat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1518>, <kernel.DependentProduct object at 0xca1680>) of role type named sy_c_Int_Oring__1__class_Oof__int_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring ring_1_of_int_real:(int->real)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1488>, <kernel.DependentProduct object at 0xca16c8>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring lattic8263393255366662781ax_int:(set_int->int)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1680>, <kernel.DependentProduct object at 0xca1758>) of role type named sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring lattic8265883725875713057ax_nat:(set_nat->nat)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca16c8>, <kernel.DependentProduct object at 0xca17a0>) of role type named sy_c_Least__significant__bit_Olsb__class_Olsb_001t__Code____Numeral__Ointeger
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring least_7544222001954398261nteger:(code_integer->Prop)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1758>, <kernel.DependentProduct object at 0xca1830>) of role type named sy_c_Least__significant__bit_Olsb__class_Olsb_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring least_4859182151741483524sb_int:(int->Prop)
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca16c8>, <kernel.DependentProduct object at 0xca1488>) of role type named sy_c_Limits_OBfun_001t__Nat__Onat_001t__Real__Oreal
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring bfun_nat_real:((nat->real)->(filter_nat->Prop))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1320>, <kernel.DependentProduct object at 0xca16c8>) of role type named sy_c_List_Oappend_001t__Int__Oint
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring append_int:(list_int->(list_int->list_int))
% 0.62/0.83 FOF formula (<kernel.Constant object at 0xca1830>, <kernel.DependentProduct object at 0xca1488>) of role type named sy_c_List_Oappend_001t__Nat__Onat
% 0.62/0.83 Using role type
% 0.62/0.83 Declaring append_nat:(list_nat->(list_nat->list_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1998>, <kernel.DependentProduct object at 0xca1a70>) of role type named sy_c_List_Odistinct_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring distinct_int:(list_int->Prop)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca19e0>, <kernel.DependentProduct object at 0xca1908>) of role type named sy_c_List_Odistinct_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring distinct_nat:(list_nat->Prop)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1320>, <kernel.DependentProduct object at 0xca1998>) of role type named sy_c_List_Ofilter_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring filter_nat2:((nat->Prop)->(list_nat->list_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1ab8>, <kernel.DependentProduct object at 0xca1908>) of role type named sy_c_List_Ofoldr_001_Eo_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring foldr_o_nat:((Prop->(nat->nat))->(list_o->(nat->nat)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1758>, <kernel.DependentProduct object at 0xca1b48>) of role type named sy_c_List_Ofoldr_001t__Int__Oint_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring foldr_int_nat:((int->(nat->nat))->(list_int->(nat->nat)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1bd8>, <kernel.DependentProduct object at 0xca1b90>) of role type named sy_c_List_Ofoldr_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring foldr_nat_nat:((nat->(nat->nat))->(list_nat->(nat->nat)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1c20>, <kernel.DependentProduct object at 0xca1a70>) of role type named sy_c_List_Ofoldr_001t__Real__Oreal_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring foldr_real_nat:((real->(nat->nat))->(list_real->(nat->nat)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1c68>, <kernel.DependentProduct object at 0xca1908>) of role type named sy_c_List_Ofoldr_001t__Real__Oreal_001t__Real__Oreal
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring foldr_real_real:((real->(real->real))->(list_real->(real->real)))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1c20>, <kernel.DependentProduct object at 0xca1cb0>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Int__Oint_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring linord1735203802627413978nt_int:((int->int)->(list_int->list_int))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.DependentProduct object at 0xca1c68>) of role type named sy_c_List_Olinorder__class_Osort__key_001t__Nat__Onat_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring linord738340561235409698at_nat:((nat->nat)->(list_nat->list_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1cb0>, <kernel.DependentProduct object at 0xca1b90>) of role type named sy_c_List_Olinorder__class_Osorted__list__of__set_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring linord2614967742042102400et_nat:(set_nat->list_nat)
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1830>, <kernel.DependentProduct object at 0xca1bd8>) of role type named sy_c_List_Olist_OCons_001_Eo
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring cons_o:(Prop->(list_o->list_o))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1dd0>, <kernel.DependentProduct object at 0xca1c68>) of role type named sy_c_List_Olist_OCons_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring cons_int:(int->(list_int->list_int))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1e18>, <kernel.DependentProduct object at 0xca1b90>) of role type named sy_c_List_Olist_OCons_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring cons_nat:(nat->(list_nat->list_nat))
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1cb0>, <kernel.Constant object at 0xca1b90>) of role type named sy_c_List_Olist_ONil_001_Eo
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nil_o:list_o
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1c68>, <kernel.Constant object at 0xca1b90>) of role type named sy_c_List_Olist_ONil_001t__Int__Oint
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nil_int:list_int
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.Constant object at 0xca1b90>) of role type named sy_c_List_Olist_ONil_001t__Nat__Onat
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring nil_nat:list_nat
% 0.62/0.84 FOF formula (<kernel.Constant object at 0xca1c20>, <kernel.DependentProduct object at 0xca1830>) of role type named sy_c_List_Olist_Omap_001_Eo_001_Eo
% 0.62/0.84 Using role type
% 0.62/0.84 Declaring map_o_o:((Prop->Prop)->(list_o->list_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1fc8>, <kernel.DependentProduct object at 0xca1c68>) of role type named sy_c_List_Olist_Omap_001_Eo_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_o_nat:((Prop->nat)->(list_o->list_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.DependentProduct object at 0xca1b90>) of role type named sy_c_List_Olist_Omap_001_Eo_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_o_real:((Prop->real)->(list_o->list_real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1bd8>, <kernel.DependentProduct object at 0xca1fc8>) of role type named sy_c_List_Olist_Omap_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_o_VEBT_VEBT:((Prop->vEBT_VEBT)->(list_o->list_VEBT_VEBT))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1a70>, <kernel.DependentProduct object at 0xca1fc8>) of role type named sy_c_List_Olist_Omap_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_complex_complex:((complex->complex)->(list_complex->list_complex))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.DependentProduct object at 0xca1bd8>) of role type named sy_c_List_Olist_Omap_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_complex_real:((complex->real)->(list_complex->list_real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1f38>, <kernel.DependentProduct object at 0xca4128>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_int_o:((int->Prop)->(list_int->list_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.DependentProduct object at 0xca4128>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001t__Int__Oint
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_int_int:((int->int)->(list_int->list_int))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1bd8>, <kernel.DependentProduct object at 0xca4128>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_int_nat:((int->nat)->(list_int->list_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1908>, <kernel.DependentProduct object at 0xca4128>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_int_real:((int->real)->(list_int->list_real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1f38>, <kernel.DependentProduct object at 0xca4170>) of role type named sy_c_List_Olist_Omap_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_int_VEBT_VEBT:((int->vEBT_VEBT)->(list_int->list_VEBT_VEBT))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca1f38>, <kernel.DependentProduct object at 0xca4290>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_nat_o:((nat->Prop)->(list_nat->list_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca41b8>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_nat_nat:((nat->nat)->(list_nat->list_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4200>, <kernel.DependentProduct object at 0xca4320>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_nat_real:((nat->real)->(list_nat->list_real))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4248>, <kernel.DependentProduct object at 0xca4050>) of role type named sy_c_List_Olist_Omap_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_nat_VEBT_VEBT:((nat->vEBT_VEBT)->(list_nat->list_VEBT_VEBT))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca4200>) of role type named sy_c_List_Olist_Omap_001t__Real__Oreal_001_Eo
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_real_o:((real->Prop)->(list_real->list_o))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4290>, <kernel.DependentProduct object at 0xca4170>) of role type named sy_c_List_Olist_Omap_001t__Real__Oreal_001t__Nat__Onat
% 0.67/0.85 Using role type
% 0.67/0.85 Declaring map_real_nat:((real->nat)->(list_real->list_nat))
% 0.67/0.85 FOF formula (<kernel.Constant object at 0xca4248>, <kernel.DependentProduct object at 0xca4440>) of role type named sy_c_List_Olist_Omap_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_real_real:((real->real)->(list_real->list_real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca41b8>) of role type named sy_c_List_Olist_Omap_001t__Real__Oreal_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_real_VEBT_VEBT:((real->vEBT_VEBT)->(list_real->list_VEBT_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4290>, <kernel.DependentProduct object at 0xca40e0>) of role type named sy_c_List_Olist_Omap_001t__VEBT____BuildupMemImp__OVEBTi_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VEBT_VEBTi_int:((vEBT_VEBTi->int)->(list_VEBT_VEBTi->list_int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4248>, <kernel.DependentProduct object at 0xca4050>) of role type named sy_c_List_Olist_Omap_001t__VEBT____BuildupMemImp__OVEBTi_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VEBT_VEBTi_nat:((vEBT_VEBTi->nat)->(list_VEBT_VEBTi->list_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4290>, <kernel.DependentProduct object at 0xca4098>) of role type named sy_c_List_Olist_Omap_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VE483055756984248624_VEBTi:((vEBT_VEBTi->vEBT_VEBTi)->(list_VEBT_VEBTi->list_VEBT_VEBTi))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4050>, <kernel.DependentProduct object at 0xca4248>) of role type named sy_c_List_Olist_Omap_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VE7998069337340375161T_VEBT:((vEBT_VEBTi->vEBT_VEBT)->(list_VEBT_VEBTi->list_VEBT_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4290>, <kernel.DependentProduct object at 0xca4200>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VEBT_VEBT_int:((vEBT_VEBT->int)->(list_VEBT_VEBT->list_int))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca4170>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(list_VEBT_VEBT->list_nat))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4050>, <kernel.DependentProduct object at 0xca4638>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VEBT_VEBT_real:((vEBT_VEBT->real)->(list_VEBT_VEBT->list_real))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca4290>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VE7029150624388687525_VEBTi:((vEBT_VEBT->vEBT_VEBTi)->(list_VEBT_VEBT->list_VEBT_VEBTi))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4638>, <kernel.DependentProduct object at 0xca4050>) of role type named sy_c_List_Olist_Omap_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring map_VE8901447254227204932T_VEBT:((vEBT_VEBT->vEBT_VEBT)->(list_VEBT_VEBT->list_VEBT_VEBT))
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4098>, <kernel.DependentProduct object at 0xca4830>) of role type named sy_c_List_Olist_Oset_001_Eo
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring set_o2:(list_o->set_o)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4710>, <kernel.DependentProduct object at 0xca4908>) of role type named sy_c_List_Olist_Oset_001t__Complex__Ocomplex
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring set_complex2:(list_complex->set_complex)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca46c8>, <kernel.DependentProduct object at 0xca4950>) of role type named sy_c_List_Olist_Oset_001t__Int__Oint
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring set_int2:(list_int->set_int)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4050>, <kernel.DependentProduct object at 0xca4998>) of role type named sy_c_List_Olist_Oset_001t__Nat__Onat
% 0.67/0.86 Using role type
% 0.67/0.86 Declaring set_nat2:(list_nat->set_nat)
% 0.67/0.86 FOF formula (<kernel.Constant object at 0xca4830>, <kernel.DependentProduct object at 0xca49e0>) of role type named sy_c_List_Olist_Oset_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring set_real2:(list_real->set_real)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4908>, <kernel.DependentProduct object at 0xca4a28>) of role type named sy_c_List_Olist_Oset_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring set_VEBT_VEBTi2:(list_VEBT_VEBTi->set_VEBT_VEBTi)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4950>, <kernel.DependentProduct object at 0xca4a70>) of role type named sy_c_List_Olist_Oset_001t__VEBT____Definitions__OVEBT
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring set_VEBT_VEBT2:(list_VEBT_VEBT->set_VEBT_VEBT)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4998>, <kernel.DependentProduct object at 0xca49e0>) of role type named sy_c_List_Olist_Osize__list_001t__VEBT____Definitions__OVEBT
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring size_list_VEBT_VEBT:((vEBT_VEBT->nat)->(list_VEBT_VEBT->nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca42d8>, <kernel.DependentProduct object at 0xca4050>) of role type named sy_c_List_Olist_Otl_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring tl_nat:(list_nat->list_nat)
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4908>, <kernel.DependentProduct object at 0xca49e0>) of role type named sy_c_List_Olist__update_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_update_o:(list_o->(nat->(Prop->list_o)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4b90>, <kernel.DependentProduct object at 0xca4950>) of role type named sy_c_List_Olist__update_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_update_complex:(list_complex->(nat->(complex->list_complex)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4b00>, <kernel.DependentProduct object at 0xca42d8>) of role type named sy_c_List_Olist__update_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_update_int:(list_int->(nat->(int->list_int)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4cb0>, <kernel.DependentProduct object at 0xca4b90>) of role type named sy_c_List_Olist__update_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_update_nat:(list_nat->(nat->(nat->list_nat)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4cf8>, <kernel.DependentProduct object at 0xca4b00>) of role type named sy_c_List_Olist__update_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_update_real:(list_real->(nat->(real->list_real)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4cb0>, <kernel.DependentProduct object at 0xca4cf8>) of role type named sy_c_List_Olist__update_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_u6098035379799741383_VEBTi:(list_VEBT_VEBTi->(nat->(vEBT_VEBTi->list_VEBT_VEBTi)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4b00>, <kernel.DependentProduct object at 0xca4cb0>) of role type named sy_c_List_Olist__update_001t__VEBT____Definitions__OVEBT
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring list_u1324408373059187874T_VEBT:(list_VEBT_VEBT->(nat->(vEBT_VEBT->list_VEBT_VEBT)))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4050>, <kernel.DependentProduct object at 0xca4cf8>) of role type named sy_c_List_Onth_001_Eo
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_o:(list_o->(nat->Prop))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4d88>, <kernel.DependentProduct object at 0xca4b00>) of role type named sy_c_List_Onth_001t__Complex__Ocomplex
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_complex:(list_complex->(nat->complex))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4ab8>, <kernel.DependentProduct object at 0xca4d88>) of role type named sy_c_List_Onth_001t__Int__Oint
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_int:(list_int->(nat->int))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4e60>, <kernel.DependentProduct object at 0xca4b00>) of role type named sy_c_List_Onth_001t__Nat__Onat
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_nat:(list_nat->(nat->nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4c68>, <kernel.DependentProduct object at 0xca4ab8>) of role type named sy_c_List_Onth_001t__Num__Onum
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_num:(list_num->(nat->num))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4cf8>, <kernel.DependentProduct object at 0xca4050>) of role type named sy_c_List_Onth_001t__Option__Ooption_It__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_option_nat:(list_option_nat->(nat->option_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4e60>, <kernel.DependentProduct object at 0xca4cf8>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr6456567536196504476um_num:(list_P3744719386663036955um_num->(nat->product_prod_num_num))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4050>, <kernel.DependentProduct object at 0xca4e60>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_M_Eo_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr3306050735993963089EBTi_o:(list_P8833571063612306856EBTi_o->(nat->produc5014006835512566296EBTi_o))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4cf8>, <kernel.DependentProduct object at 0x10a90e0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__Real__Oreal_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr3433448822664029129i_real:(list_P8536626330812492744i_real->(nat->produc6680258955013199682i_real))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4e60>, <kernel.DependentProduct object at 0x10a9170>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____BuildupMemImp__OVEBTi_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr6329974346453275474_VEBTi:(list_P785718909624839377_VEBTi->(nat->produc3777764054643897931_VEBTi))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4e60>, <kernel.DependentProduct object at 0x10a9200>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____BuildupMemImp__OVEBTi_Mt__VEBT____Definitions__OVEBT_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr8725177398587324397T_VEBT:(list_P5988454224134618948T_VEBT->(nat->produc2810682830582626868T_VEBT))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0xca4d88>, <kernel.DependentProduct object at 0x10a9290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_M_Eo_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr4606735188037164562VEBT_o:(list_P3126845725202233233VEBT_o->(nat->produc334124729049499915VEBT_o))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a9248>, <kernel.DependentProduct object at 0x10a9320>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr1791586995822124652BT_nat:(list_P7037539587688870467BT_nat->(nat->produc9072475918466114483BT_nat))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a9368>, <kernel.DependentProduct object at 0x10a93b0>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Real__Oreal_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr6842391030413306568T_real:(list_P2623026923184700063T_real->(nat->produc5170161368751668367T_real))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a9290>, <kernel.DependentProduct object at 0x10a9440>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____BuildupMemImp__OVEBTi_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr316670251186196177_VEBTi:(list_P735349106241217576_VEBTi->(nat->produc3625547720036274456_VEBTi))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a93f8>, <kernel.DependentProduct object at 0x10a9290>) of role type named sy_c_List_Onth_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____Definitions__OVEBT_J
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_Pr4953567300277697838T_VEBT:(list_P7413028617227757229T_VEBT->(nat->produc8243902056947475879T_VEBT))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a9320>, <kernel.DependentProduct object at 0x10a93f8>) of role type named sy_c_List_Onth_001t__Real__Oreal
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_real:(list_real->(nat->real))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a95a8>, <kernel.DependentProduct object at 0x10a9440>) of role type named sy_c_List_Onth_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.87 Using role type
% 0.67/0.87 Declaring nth_VEBT_VEBTi:(list_VEBT_VEBTi->(nat->vEBT_VEBTi))
% 0.67/0.87 FOF formula (<kernel.Constant object at 0x10a9638>, <kernel.DependentProduct object at 0x10a9290>) of role type named sy_c_List_Onth_001t__VEBT____Definitions__OVEBT
% 0.67/0.87 Using role type
% 0.67/0.88 Declaring nth_VEBT_VEBT:(list_VEBT_VEBT->(nat->vEBT_VEBT))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9518>, <kernel.DependentProduct object at 0x10a9638>) of role type named sy_c_List_Oproduct_001_Eo_001_Eo
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_o_o:(list_o->(list_o->list_P4002435161011370285od_o_o))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a96c8>, <kernel.DependentProduct object at 0x10a95a8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_o_int:(list_o->(list_int->list_P3795440434834930179_o_int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9710>, <kernel.DependentProduct object at 0x10a9290>) of role type named sy_c_List_Oproduct_001_Eo_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_o_nat:(list_o->(list_nat->list_P6285523579766656935_o_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9440>, <kernel.DependentProduct object at 0x10a96c8>) of role type named sy_c_List_Oproduct_001_Eo_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_o_real:(list_o->(list_real->list_P5232166724548748803o_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9200>, <kernel.DependentProduct object at 0x10a9710>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001_Eo
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_nat_o:(list_nat->(list_o->list_P7333126701944960589_nat_o))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9758>, <kernel.DependentProduct object at 0x10a9440>) of role type named sy_c_List_Oproduct_001t__Nat__Onat_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_nat_real:(list_nat->(list_real->list_P3644420460460130531t_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a97a0>, <kernel.DependentProduct object at 0x10a9200>) of role type named sy_c_List_Oproduct_001t__Num__Onum_001t__Num__Onum
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_num_num:(list_num->(list_num->list_P3744719386663036955um_num))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a97e8>, <kernel.DependentProduct object at 0x10a9758>) of role type named sy_c_List_Oproduct_001t__Real__Oreal_001_Eo
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_real_o:(list_real->(list_o->list_P3595434254542482545real_o))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9830>, <kernel.DependentProduct object at 0x10a97a0>) of role type named sy_c_List_Oproduct_001t__Real__Oreal_001t__Int__Oint
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_real_int:(list_real->(list_int->list_P4344331454722006975al_int))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9878>, <kernel.DependentProduct object at 0x10a97e8>) of role type named sy_c_List_Oproduct_001t__Real__Oreal_001t__Nat__Onat
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_real_nat:(list_real->(list_nat->list_P6834414599653733731al_nat))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a98c0>, <kernel.DependentProduct object at 0x10a9830>) of role type named sy_c_List_Oproduct_001t__Real__Oreal_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_real_real:(list_real->(list_real->list_P8689742595348180415l_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9908>, <kernel.DependentProduct object at 0x10a9878>) of role type named sy_c_List_Oproduct_001t__VEBT____BuildupMemImp__OVEBTi_001_Eo
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring product_VEBT_VEBTi_o:(list_VEBT_VEBTi->(list_o->list_P8833571063612306856EBTi_o))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a98c0>, <kernel.DependentProduct object at 0x10a9908>) of role type named sy_c_List_Oproduct_001t__VEBT____BuildupMemImp__OVEBTi_001t__Real__Oreal
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring produc5476717833281694120i_real:(list_VEBT_VEBTi->(list_real->list_P8536626330812492744i_real))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9878>, <kernel.DependentProduct object at 0x10a98c0>) of role type named sy_c_List_Oproduct_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring produc194614972289024177_VEBTi:(list_VEBT_VEBTi->(list_VEBT_VEBTi->list_P785718909624839377_VEBTi))
% 0.67/0.88 FOF formula (<kernel.Constant object at 0x10a9908>, <kernel.DependentProduct object at 0x10a9878>) of role type named sy_c_List_Oproduct_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____Definitions__OVEBT
% 0.67/0.88 Using role type
% 0.67/0.88 Declaring produc1285381384045549624T_VEBT:(list_VEBT_VEBTi->(list_VEBT_VEBT->list_P5988454224134618948T_VEBT))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9b00>, <kernel.DependentProduct object at 0x10a98c0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring product_VEBT_VEBT_o:(list_VEBT_VEBT->(list_o->list_P3126845725202233233VEBT_o))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9908>, <kernel.DependentProduct object at 0x10a9b00>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring produc7295137177222721919BT_nat:(list_VEBT_VEBT->(list_nat->list_P7037539587688870467BT_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a98c0>, <kernel.DependentProduct object at 0x10a9908>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring produc4908677263432625371T_real:(list_VEBT_VEBT->(list_real->list_P2623026923184700063T_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9b00>, <kernel.DependentProduct object at 0x10a98c0>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring produc316462671093861988_VEBTi:(list_VEBT_VEBT->(list_VEBT_VEBTi->list_P735349106241217576_VEBTi))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9908>, <kernel.DependentProduct object at 0x10a9b00>) of role type named sy_c_List_Oproduct_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring produc4743750530478302277T_VEBT:(list_VEBT_VEBT->(list_VEBT_VEBT->list_P7413028617227757229T_VEBT))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9d88>, <kernel.DependentProduct object at 0x10a9bd8>) of role type named sy_c_List_Oreplicate_001_Eo
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_o:(nat->(Prop->list_o))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9dd0>, <kernel.DependentProduct object at 0x10a9908>) of role type named sy_c_List_Oreplicate_001t__Complex__Ocomplex
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_complex:(nat->(complex->list_complex))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a98c0>, <kernel.DependentProduct object at 0x10a9d88>) of role type named sy_c_List_Oreplicate_001t__Int__Oint
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_int:(nat->(int->list_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9e60>, <kernel.DependentProduct object at 0x10a9dd0>) of role type named sy_c_List_Oreplicate_001t__Nat__Onat
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_nat:(nat->(nat->list_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9c68>, <kernel.DependentProduct object at 0x10a98c0>) of role type named sy_c_List_Oreplicate_001t__Real__Oreal
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_real:(nat->(real->list_real))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9b00>, <kernel.DependentProduct object at 0x10a9e60>) of role type named sy_c_List_Oreplicate_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_VEBT_VEBTi:(nat->(vEBT_VEBTi->list_VEBT_VEBTi))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9bd8>, <kernel.DependentProduct object at 0x10a9c68>) of role type named sy_c_List_Oreplicate_001t__VEBT____Definitions__OVEBT
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring replicate_VEBT_VEBT:(nat->(vEBT_VEBT->list_VEBT_VEBT))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9908>, <kernel.DependentProduct object at 0x10a9b00>) of role type named sy_c_List_Oupt
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring upt:(nat->(nat->list_nat))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9dd0>, <kernel.DependentProduct object at 0x10a9bd8>) of role type named sy_c_List_Oupto
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring upto:(int->(int->list_int))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9b00>, <kernel.DependentProduct object at 0x1096050>) of role type named sy_c_List_Oupto__aux
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring upto_aux:(int->(int->(list_int->list_int)))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a9c68>, <kernel.DependentProduct object at 0x1096128>) of role type named sy_c_List_Oupto__rel
% 0.67/0.89 Using role type
% 0.67/0.89 Declaring upto_rel:(product_prod_int_int->(product_prod_int_int->Prop))
% 0.67/0.89 FOF formula (<kernel.Constant object at 0x10a99e0>, <kernel.DependentProduct object at 0x10960e0>) of role type named sy_c_Nat_OSuc
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring suc:(nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10a95f0>, <kernel.DependentProduct object at 0x1096170>) of role type named sy_c_Nat_Onat_Ocase__nat_001_Eo
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring case_nat_o:(Prop->((nat->Prop)->(nat->Prop)))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10a99e0>, <kernel.DependentProduct object at 0x1096200>) of role type named sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring case_nat_option_num:(option_num->((nat->option_num)->(nat->option_num)))
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10a9e60>, <kernel.DependentProduct object at 0x1096098>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Code____Numeral__Ointeger
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri4939895301339042750nteger:(nat->code_integer)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10961b8>, <kernel.DependentProduct object at 0x1096290>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Complex__Ocomplex
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri8010041392384452111omplex:(nat->complex)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096050>, <kernel.DependentProduct object at 0x1096320>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Extended____Nat__Oenat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri4216267220026989637d_enat:(nat->extended_enat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096200>, <kernel.DependentProduct object at 0x10963b0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri1314217659103216013at_int:(nat->int)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096248>, <kernel.DependentProduct object at 0x1096440>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Nat__Onat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri1316708129612266289at_nat:(nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096200>, <kernel.DependentProduct object at 0x10964d0>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Rat__Orat
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri681578069525770553at_rat:(nat->rat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096440>, <kernel.DependentProduct object at 0x1096560>) of role type named sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Real__Oreal
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring semiri5074537144036343181t_real:(nat->real)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10961b8>, <kernel.DependentProduct object at 0x10965f0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_I_Eo_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_list_o:(list_o->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096440>, <kernel.DependentProduct object at 0x1096638>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Complex__Ocomplex_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s3451745648224563538omplex:(list_complex->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096488>, <kernel.DependentProduct object at 0x10966c8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Int__Oint_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_list_int:(list_int->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096560>, <kernel.DependentProduct object at 0x1096710>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Nat__Onat_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_list_nat:(list_nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10964d0>, <kernel.DependentProduct object at 0x1096758>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Num__Onum_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_list_num:(list_num->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096560>, <kernel.DependentProduct object at 0x10967a0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s6086282163384603972on_nat:(list_option_nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096758>, <kernel.DependentProduct object at 0x1096830>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_M_Eo_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s1515746228057227161od_o_o:(list_P4002435161011370285od_o_o->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10967a0>, <kernel.DependentProduct object at 0x10968c0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s2953683556165314199_o_int:(list_P3795440434834930179_o_int->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096830>, <kernel.DependentProduct object at 0x1096950>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s5443766701097040955_o_nat:(list_P6285523579766656935_o_nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10968c0>, <kernel.DependentProduct object at 0x10969e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_I_Eo_Mt__Real__Oreal_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s2624279037499656343o_real:(list_P5232166724548748803o_real->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096950>, <kernel.DependentProduct object at 0x1096a70>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s6491369823275344609_nat_o:(list_P7333126701944960589_nat_o->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x10969e0>, <kernel.DependentProduct object at 0x1096b00>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Nat__Onat_Mt__Real__Oreal_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s7910714270633306959t_real:(list_P3644420460460130531t_real->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096a70>, <kernel.DependentProduct object at 0x1096b90>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_M_Eo_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s987546567493390085real_o:(list_P3595434254542482545real_o->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096b00>, <kernel.DependentProduct object at 0x1096c20>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Int__Oint_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s8610625264895183403al_int:(list_P4344331454722006975al_int->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096b90>, <kernel.DependentProduct object at 0x1096cb0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Nat__Onat_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s1877336372972134351al_nat:(list_P6834414599653733731al_nat->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096c20>, <kernel.DependentProduct object at 0x1096d40>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s3932428310213730859l_real:(list_P8689742595348180415l_real->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096c68>, <kernel.DependentProduct object at 0x1096dd0>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__Real__Oreal_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_list_real:(list_real->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096c20>, <kernel.DependentProduct object at 0x1096e18>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s7982070591426661849_VEBTi:(list_VEBT_VEBTi->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096dd0>, <kernel.DependentProduct object at 0x1096ea8>) of role type named sy_c_Nat_Osize__class_Osize_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_s6755466524823107622T_VEBT:(list_VEBT_VEBT->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096b00>, <kernel.DependentProduct object at 0x1096f38>) of role type named sy_c_Nat_Osize__class_Osize_001t__Num__Onum
% 0.67/0.90 Using role type
% 0.67/0.90 Declaring size_size_num:(num->nat)
% 0.67/0.90 FOF formula (<kernel.Constant object at 0x1096cb0>, <kernel.DependentProduct object at 0x1096f80>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Nat__Onat_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_option_nat:(option_nat->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096e60>, <kernel.DependentProduct object at 0x1096fc8>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Num__Onum_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_option_num:(option_num->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096cb0>, <kernel.DependentProduct object at 0x1095050>) of role type named sy_c_Nat_Osize__class_Osize_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_s170228958280169651at_nat:(option4927543243414619207at_nat->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096f80>, <kernel.DependentProduct object at 0x10950e0>) of role type named sy_c_Nat_Osize__class_Osize_001t__String__Ochar
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_char:(char->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096b00>, <kernel.DependentProduct object at 0x1095128>) of role type named sy_c_Nat_Osize__class_Osize_001t__Uint32__Ouint32
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_uint32:(uint32->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096fc8>, <kernel.DependentProduct object at 0x1095170>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____BuildupMemImp__OVEBTi
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_VEBT_VEBTi:(vEBT_VEBTi->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096f80>, <kernel.DependentProduct object at 0x10951b8>) of role type named sy_c_Nat_Osize__class_Osize_001t__VEBT____Definitions__OVEBT
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring size_size_VEBT_VEBT:(vEBT_VEBT->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096e60>, <kernel.DependentProduct object at 0x1095248>) of role type named sy_c_Nat__Bijection_Oset__decode
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring nat_set_decode:(nat->set_nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096fc8>, <kernel.DependentProduct object at 0x1095290>) of role type named sy_c_Nat__Bijection_Oset__encode
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring nat_set_encode:(set_nat->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096fc8>, <kernel.DependentProduct object at 0x10952d8>) of role type named sy_c_Nat__Bijection_Otriangle
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring nat_triangle:(nat->nat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1096fc8>, <kernel.DependentProduct object at 0x1095200>) of role type named sy_c_NthRoot_Oroot
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring root:(nat->(real->real))
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095098>, <kernel.DependentProduct object at 0x1095320>) of role type named sy_c_NthRoot_Osqrt
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring sqrt:(real->real)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095248>, <kernel.DependentProduct object at 0x10952d8>) of role type named sy_c_Num_OBitM
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring bitM:(num->num)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095170>, <kernel.DependentProduct object at 0x10953b0>) of role type named sy_c_Num_Oinc
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring inc:(num->num)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095248>, <kernel.DependentProduct object at 0x10953f8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Code____Numeral__Ointeger
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring neg_nu8804712462038260780nteger:(code_integer->code_integer)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x10953b0>, <kernel.DependentProduct object at 0x1095488>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Complex__Ocomplex
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring neg_nu7009210354673126013omplex:(complex->complex)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095200>, <kernel.DependentProduct object at 0x1095518>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Int__Oint
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring neg_numeral_dbl_int:(int->int)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095098>, <kernel.DependentProduct object at 0x1095560>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Rat__Orat
% 0.67/0.91 Using role type
% 0.67/0.91 Declaring neg_numeral_dbl_rat:(rat->rat)
% 0.67/0.91 FOF formula (<kernel.Constant object at 0x1095440>, <kernel.DependentProduct object at 0x10955a8>) of role type named sy_c_Num_Oneg__numeral__class_Odbl_001t__Real__Oreal
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_numeral_dbl_real:(real->real)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095098>, <kernel.DependentProduct object at 0x10955f0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Code____Numeral__Ointeger
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_nu7757733837767384882nteger:(code_integer->code_integer)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10955a8>, <kernel.DependentProduct object at 0x1095680>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Complex__Ocomplex
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_nu6511756317524482435omplex:(complex->complex)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10955f0>, <kernel.DependentProduct object at 0x1095710>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Int__Oint
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_nu3811975205180677377ec_int:(int->int)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095680>, <kernel.DependentProduct object at 0x10957a0>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Rat__Orat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_nu3179335615603231917ec_rat:(rat->rat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095710>, <kernel.DependentProduct object at 0x1095830>) of role type named sy_c_Num_Oneg__numeral__class_Odbl__dec_001t__Real__Oreal
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring neg_nu6075765906172075777c_real:(real->real)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095488>, <kernel.DependentProduct object at 0x10958c0>) of role type named sy_c_Num_Onum_OBit0
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring bit0:(num->num)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095758>, <kernel.DependentProduct object at 0x1095908>) of role type named sy_c_Num_Onum_OBit1
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring bit1:(num->num)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10957e8>, <kernel.Constant object at 0x1095908>) of role type named sy_c_Num_Onum_OOne
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring one:num
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10958c0>, <kernel.DependentProduct object at 0x1095a28>) of role type named sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring case_num_option_num:(option_num->((num->option_num)->((num->option_num)->(num->option_num))))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10959e0>, <kernel.DependentProduct object at 0x1095998>) of role type named sy_c_Num_Onum_Osize__num
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring size_num:(num->nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10958c0>, <kernel.DependentProduct object at 0x1095758>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numera6620942414471956472nteger:(num->code_integer)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095998>, <kernel.DependentProduct object at 0x1095b48>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Complex__Ocomplex
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numera6690914467698888265omplex:(num->complex)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095758>, <kernel.DependentProduct object at 0x1095830>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Extended____Nat__Oenat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numera1916890842035813515d_enat:(num->extended_enat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x10957a0>, <kernel.DependentProduct object at 0x1095bd8>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numeral_numeral_int:(num->int)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095710>, <kernel.DependentProduct object at 0x1095c20>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numeral_numeral_nat:(num->nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095b00>, <kernel.DependentProduct object at 0x1095c68>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Rat__Orat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numeral_numeral_rat:(num->rat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095830>, <kernel.DependentProduct object at 0x1095cb0>) of role type named sy_c_Num_Onumeral__class_Onumeral_001t__Real__Oreal
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring numeral_numeral_real:(num->real)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095bd8>, <kernel.DependentProduct object at 0x1095b00>) of role type named sy_c_Num_Opow
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring pow:(num->(num->num))
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095cf8>, <kernel.DependentProduct object at 0x1095d40>) of role type named sy_c_Num_Opred__numeral
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring pred_numeral:(num->nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095c68>, <kernel.Constant object at 0x1095d40>) of role type named sy_c_Option_Ooption_ONone_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_nat:option_nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095b00>, <kernel.Constant object at 0x1095d40>) of role type named sy_c_Option_Ooption_ONone_001t__Num__Onum
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_num:option_num
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095c68>, <kernel.Constant object at 0x1095d88>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_P533106815845188193et_nat:option936205604648967762et_nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095d40>, <kernel.Constant object at 0x1095c20>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_P2377608414092835994nt_int:option4624381673175914239nt_int
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095d88>, <kernel.Constant object at 0x1095e18>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_P5556105721700978146at_nat:option4927543243414619207at_nat
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095c20>, <kernel.Constant object at 0x1095ea8>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_P6264349658649815852at_num:option642762832853965969at_num
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095e18>, <kernel.Constant object at 0x1095f38>) of role type named sy_c_Option_Ooption_ONone_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring none_P4394680061957285238um_num:option2661157926820139483um_num
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095fc8>, <kernel.DependentProduct object at 0x1099128>) of role type named sy_c_Option_Ooption_OSome_001t__Code____Numeral__Ointeger
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_Code_integer:(code_integer->option_Code_integer)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095f80>, <kernel.DependentProduct object at 0x1099170>) of role type named sy_c_Option_Ooption_OSome_001t__Int__Oint
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_int:(int->option_int)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095e18>, <kernel.DependentProduct object at 0x10991b8>) of role type named sy_c_Option_Ooption_OSome_001t__Nat__Onat
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_nat:(nat->option_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1095fc8>, <kernel.DependentProduct object at 0x1099200>) of role type named sy_c_Option_Ooption_OSome_001t__Num__Onum
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_num:(num->option_num)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x1099128>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_P624177172695371229et_nat:(produc3658429121746597890et_nat->option936205604648967762et_nat)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1099098>, <kernel.DependentProduct object at 0x1099050>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_P4184893108420464158nt_int:(product_prod_int_int->option4624381673175914239nt_int)
% 0.67/0.92 FOF formula (<kernel.Constant object at 0x1099128>, <kernel.DependentProduct object at 0x1099098>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.92 Using role type
% 0.67/0.92 Declaring some_P7363390416028606310at_nat:(product_prod_nat_nat->option4927543243414619207at_nat)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x1099128>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring some_P8071634352977444016at_num:(product_prod_nat_num->option642762832853965969at_num)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099098>, <kernel.DependentProduct object at 0x1099050>) of role type named sy_c_Option_Ooption_OSome_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring some_P6201964756284913402um_num:(product_prod_num_num->option2661157926820139483um_num)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1095e18>, <kernel.DependentProduct object at 0x1099518>) of role type named sy_c_Option_Ooption_OSome_001t__Rat__Orat
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring some_rat:(rat->option_rat)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x10993f8>, <kernel.DependentProduct object at 0x1099560>) of role type named sy_c_Option_Ooption_OSome_001t__Real__Oreal
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring some_real:(real->option_real)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099488>, <kernel.DependentProduct object at 0x10995a8>) of role type named sy_c_Option_Ooption_OSome_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring some_set_nat:(set_nat->option_set_nat)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x1099680>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Int__Oint_001t__Num__Onum
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring case_option_int_num:(int->((num->int)->(option_num->int)))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099638>, <kernel.DependentProduct object at 0x10996c8>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring case_option_num_num:(num->((num->num)->(option_num->num)))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x10995f0>) of role type named sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring case_o6005452278849405969um_num:(option_num->((num->option_num)->(option_num->option_num)))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099758>, <kernel.DependentProduct object at 0x10991b8>) of role type named sy_c_Option_Ooption_Osize__option_001t__Nat__Onat
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring size_option_nat:((nat->nat)->(option_nat->nat))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x10996c8>, <kernel.DependentProduct object at 0x1099710>) of role type named sy_c_Option_Ooption_Osize__option_001t__Num__Onum
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring size_option_num:((num->nat)->(option_num->nat))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099758>, <kernel.DependentProduct object at 0x10997a0>) of role type named sy_c_Option_Ooption_Osize__option_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring size_o8335143837870341156at_nat:((product_prod_nat_nat->nat)->(option4927543243414619207at_nat->nat))
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x10991b8>) of role type named sy_c_Option_Ooption_Othe_001t__Nat__Onat
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring the_nat:(option_nat->nat)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x10993f8>, <kernel.DependentProduct object at 0x1099878>) of role type named sy_c_Option_Ooption_Othe_001t__Num__Onum
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring the_num:(option_num->num)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.DependentProduct object at 0x10998c0>) of role type named sy_c_Option_Ooption_Othe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring the_Pr8591224930841456533at_nat:(option4927543243414619207at_nat->product_prod_nat_nat)
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x10991b8>, <kernel.Constant object at 0x10998c0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Assertions__Oassn
% 0.67/0.93 Using role type
% 0.67/0.93 Declaring bot_bot_assn:assn
% 0.67/0.93 FOF formula (<kernel.Constant object at 0x1099050>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bo3990330152332043303nteger:set_Code_integer
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x10993f8>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_complex:set_complex
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099950>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_int:set_int
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099998>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_nat:set_nat
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x10999e0>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_num:set_num
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099a28>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_rat:set_rat
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099a70>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_real:set_real
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099ab8>, <kernel.Constant object at 0x1099710>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bot_set_set_nat:set_set_nat
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099a70>, <kernel.Constant object at 0x1099758>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring bot_bo8194388402131092736T_VEBT:set_VEBT_VEBT
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099710>, <kernel.DependentProduct object at 0x1099a70>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_le6747313008572928689nteger:(code_integer->(code_integer->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099758>, <kernel.DependentProduct object at 0x1099710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nat__Oenat
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_le72135733267957522d_enat:(extended_enat->(extended_enat->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099cf8>, <kernel.DependentProduct object at 0x1099a70>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_less_int:(int->(int->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099d88>, <kernel.DependentProduct object at 0x1099758>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_less_nat:(nat->(nat->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099b48>, <kernel.DependentProduct object at 0x1099cf8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Num__Onum
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_less_num:(num->(num->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099d88>, <kernel.DependentProduct object at 0x1099b48>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Code____Numeral__Ointeger_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_le7113747843092208513nteger:(option_Code_integer->(option_Code_integer->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099710>, <kernel.DependentProduct object at 0x1099cf8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Int__Oint_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_less_option_int:(option_int->(option_int->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099ef0>, <kernel.DependentProduct object at 0x1099d88>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Nat__Onat_J
% 0.67/0.94 Using role type
% 0.67/0.94 Declaring ord_less_option_nat:(option_nat->(option_nat->Prop))
% 0.67/0.94 FOF formula (<kernel.Constant object at 0x1099758>, <kernel.DependentProduct object at 0x1099710>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Num__Onum_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_option_num:(option_num->(option_num->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099c20>, <kernel.DependentProduct object at 0x1099ef0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Rat__Orat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_option_rat:(option_rat->(option_rat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099b48>, <kernel.DependentProduct object at 0x109c098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Option__Ooption_It__Real__Oreal_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_option_real:(option_real->(option_real->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099cf8>, <kernel.DependentProduct object at 0x109c0e0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_rat:(rat->(rat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099710>, <kernel.DependentProduct object at 0x109c128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_real:(real->(real->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099cf8>, <kernel.DependentProduct object at 0x109c170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_le1307284697595431911nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099710>, <kernel.DependentProduct object at 0x109c050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_complex:(set_complex->(set_complex->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099d88>, <kernel.DependentProduct object at 0x109c248>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Int__Oint_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_int:(set_int->(set_int->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099710>, <kernel.DependentProduct object at 0x109c128>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_nat:(set_nat->(set_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099d88>, <kernel.DependentProduct object at 0x109c050>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Num__Onum_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_num:(set_num->(set_num->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x1099d88>, <kernel.DependentProduct object at 0x109c290>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Rat__Orat_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_rat:(set_rat->(set_rat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x109c1b8>, <kernel.DependentProduct object at 0x109c098>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Real__Oreal_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_real:(set_real->(set_real->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x109c248>, <kernel.DependentProduct object at 0x109c170>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_set_set_nat:(set_set_nat->(set_set_nat->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x109c128>, <kernel.DependentProduct object at 0x109c1b8>) of role type named sy_c_Orderings_Oord__class_Oless_001t__String__Ochar
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_less_char:(char->(char->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x109c248>, <kernel.DependentProduct object at 0x109c128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_le3102999989581377725nteger:(code_integer->(code_integer->Prop))
% 0.76/0.94 FOF formula (<kernel.Constant object at 0x109c1b8>, <kernel.DependentProduct object at 0x109c248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Extended____Nat__Oenat
% 0.76/0.94 Using role type
% 0.76/0.94 Declaring ord_le2932123472753598470d_enat:(extended_enat->(extended_enat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c488>, <kernel.DependentProduct object at 0x109c128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_int:(int->(int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c518>, <kernel.DependentProduct object at 0x109c1b8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c050>, <kernel.DependentProduct object at 0x109c488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Num__Onum
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_num:(num->(num->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c518>, <kernel.DependentProduct object at 0x109c050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Option__Ooption_It__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le1736525451366464988on_int:(option_int->(option_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c488>, <kernel.DependentProduct object at 0x109c518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Option__Ooption_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le5914376470875661696on_nat:(option_nat->(option_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c050>, <kernel.DependentProduct object at 0x109c488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Option__Ooption_It__Num__Onum_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le6622620407824499402on_num:(option_num->(option_num->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c518>, <kernel.DependentProduct object at 0x109c050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Option__Ooption_It__Real__Oreal_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le8614940839814719452n_real:(option_real->(option_real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c488>, <kernel.DependentProduct object at 0x109c518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Option__Ooption_It__Set__Oset_It__Nat__Onat_J_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le2843612097646854710et_nat:(option_set_nat->(option_set_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.DependentProduct object at 0x109c050>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_rat:(rat->(rat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c8c0>, <kernel.DependentProduct object at 0x109c488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c710>, <kernel.DependentProduct object at 0x109c830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_set_o:(set_o->(set_o->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c8c0>, <kernel.DependentProduct object at 0x109c710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Code____Numeral__Ointeger_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le7084787975880047091nteger:(set_Code_integer->(set_Code_integer->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.DependentProduct object at 0x109c8c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Complex__Ocomplex_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_le211207098394363844omplex:(set_complex->(set_complex->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109ca28>, <kernel.DependentProduct object at 0x109c710>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_set_int:(set_int->(set_int->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109cab8>, <kernel.DependentProduct object at 0x109c830>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.95 Using role type
% 0.76/0.95 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.76/0.95 FOF formula (<kernel.Constant object at 0x109c7a0>, <kernel.DependentProduct object at 0x109ca28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_less_eq_set_num:(set_num->(set_num->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c518>, <kernel.DependentProduct object at 0x109cab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_less_eq_set_rat:(set_rat->(set_rat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c8c0>, <kernel.DependentProduct object at 0x109c7a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c518>, <kernel.DependentProduct object at 0x109c8c0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_le6893508408891458716et_nat:(set_set_nat->(set_set_nat->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c7a0>, <kernel.DependentProduct object at 0x109c518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_le6592769550269828683_VEBTi:(set_VEBT_VEBTi->(set_VEBT_VEBTi->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c8c0>, <kernel.DependentProduct object at 0x109c7a0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__VEBT____Definitions__OVEBT_J
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_le4337996190870823476T_VEBT:(set_VEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cd40>, <kernel.DependentProduct object at 0x109c518>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__String__Ochar
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_less_eq_char:(char->(char->Prop))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cdd0>, <kernel.DependentProduct object at 0x109c8c0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Code____Numeral__Ointeger
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_Code_integer:(code_integer->(code_integer->code_integer))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cd40>, <kernel.DependentProduct object at 0x109cdd0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Extended____Nat__Oenat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_ma741700101516333627d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cea8>, <kernel.DependentProduct object at 0x109c8c0>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Int__Oint
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_int:(int->(int->int))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109ce18>, <kernel.DependentProduct object at 0x109cd40>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Nat__Onat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_nat:(nat->(nat->nat))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cf80>, <kernel.DependentProduct object at 0x109cea8>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Num__Onum
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_num:(num->(num->num))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.DependentProduct object at 0x109ce18>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Rat__Orat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_rat:(rat->(rat->rat))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cea8>, <kernel.DependentProduct object at 0x109cd40>) of role type named sy_c_Orderings_Oord__class_Omax_001t__Real__Oreal
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_max_real:(real->(real->real))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.DependentProduct object at 0x109ce18>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Extended____Nat__Oenat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_mi8085742599997312461d_enat:(extended_enat->(extended_enat->extended_enat))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109cf38>, <kernel.DependentProduct object at 0x109f128>) of role type named sy_c_Orderings_Oord__class_Omin_001t__Nat__Onat
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring ord_min_nat:(nat->(nat->nat))
% 0.76/0.96 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.Constant object at 0x109f0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Assertions__Oassn
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_assn:assn
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109ce18>, <kernel.Constant object at 0x109f098>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_o:set_o
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109c830>, <kernel.Constant object at 0x109f098>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_int:set_int
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109ce18>, <kernel.Constant object at 0x109f098>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_nat:set_nat
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f128>, <kernel.Constant object at 0x109f0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Numeral____Type__Onum0_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_to3689904424835650196l_num0:set_Numeral_num0
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f050>, <kernel.Constant object at 0x109f0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_real:set_real
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f290>, <kernel.Constant object at 0x109f0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_char:set_char
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f2d8>, <kernel.Constant object at 0x109f0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Oliteral_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring top_top_set_literal:set_literal
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f320>, <kernel.DependentProduct object at 0x109f290>) of role type named sy_c_Power_Opower__class_Opower_001t__Assertions__Oassn
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_assn:(assn->(nat->assn))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f2d8>, <kernel.DependentProduct object at 0x109f320>) of role type named sy_c_Power_Opower__class_Opower_001t__Code____Numeral__Ointeger
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_8256067586552552935nteger:(code_integer->(nat->code_integer))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f488>, <kernel.DependentProduct object at 0x109f290>) of role type named sy_c_Power_Opower__class_Opower_001t__Complex__Ocomplex
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_complex:(complex->(nat->complex))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f440>, <kernel.DependentProduct object at 0x109f2d8>) of role type named sy_c_Power_Opower__class_Opower_001t__Int__Oint
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_int:(int->(nat->int))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f560>, <kernel.DependentProduct object at 0x109f488>) of role type named sy_c_Power_Opower__class_Opower_001t__Nat__Onat
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_nat:(nat->(nat->nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f0e0>, <kernel.DependentProduct object at 0x109f440>) of role type named sy_c_Power_Opower__class_Opower_001t__Rat__Orat
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_rat:(rat->(nat->rat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f3b0>, <kernel.DependentProduct object at 0x109f560>) of role type named sy_c_Power_Opower__class_Opower_001t__Real__Oreal
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring power_power_real:(real->(nat->real))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f0e0>, <kernel.DependentProduct object at 0x109f488>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc4035269172776083154on_nat:((nat->(nat->Prop))->(produc4953844613479565601on_nat->produc2233624965454879586on_nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f560>, <kernel.DependentProduct object at 0x109f440>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc3209952032786966637at_nat:((nat->(nat->nat))->(produc7248412053542808358at_nat->produc4471711990508489141at_nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f488>, <kernel.DependentProduct object at 0x109f2d8>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Nat__Onat_J_Mt__Option__Ooption_It__Nat__Onat_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc8929957630744042906on_nat:((nat->(nat->nat))->(produc4953844613479565601on_nat->produc8306885398267862888on_nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f440>, <kernel.DependentProduct object at 0x109f7a0>) of role type named sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc851828971589881931at_num:((nat->(num->num))->(produc2963631642982155120at_num->produc3368934014287244435at_num))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f2d8>, <kernel.DependentProduct object at 0x109f830>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc3576312749637752826on_num:((num->(num->Prop))->(produc3447558737645232053on_num->produc7036089656553540234on_num))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f7a0>, <kernel.DependentProduct object at 0x109f8c0>) of role type named sy_c_Product__Type_OPair_001_062_It__Num__Onum_M_062_It__Num__Onum_Mt__Num__Onum_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Num__Onum_J_Mt__Option__Ooption_It__Num__Onum_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc5778274026573060048on_num:((num->(num->num))->(produc3447558737645232053on_num->produc1193250871479095198on_num))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f830>, <kernel.DependentProduct object at 0x109f908>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc3994169339658061776at_nat:((product_prod_nat_nat->(product_prod_nat_nat->Prop))->(produc6121120109295599847at_nat->produc5491161045314408544at_nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f8c0>, <kernel.DependentProduct object at 0x109f9e0>) of role type named sy_c_Product__Type_OPair_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc2899441246263362727at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(produc6121120109295599847at_nat->produc5542196010084753463at_nat))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f908>, <kernel.DependentProduct object at 0x109f8c0>) of role type named sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc1086072967326762835nteger:(code_integer->(code_integer->produc8923325533196201883nteger))
% 0.76/0.97 FOF formula (<kernel.Constant object at 0x109f9e0>, <kernel.DependentProduct object at 0x109f908>) of role type named sy_c_Product__Type_OPair_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Set__Oset_It__Nat__Onat_J
% 0.76/0.97 Using role type
% 0.76/0.97 Declaring produc7507926704131184380et_nat:(heap_e7401611519738050253t_unit->(set_nat->produc3658429121746597890et_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fbd8>, <kernel.DependentProduct object at 0x109f8c0>) of role type named sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring product_Pair_int_int:(int->(int->product_prod_int_int))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109f878>, <kernel.DependentProduct object at 0x109f9e0>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fc68>, <kernel.DependentProduct object at 0x109fbd8>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring product_Pair_nat_num:(nat->(num->product_prod_nat_num))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109f878>, <kernel.DependentProduct object at 0x109fc68>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc487386426758144856at_nat:(nat->(product_prod_nat_nat->produc7248412053542808358at_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fbd8>, <kernel.DependentProduct object at 0x109f878>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc1195630363706982562at_num:(nat->(product_prod_nat_num->produc2963631642982155120at_num))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fdd0>, <kernel.DependentProduct object at 0x109fc68>) of role type named sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring product_Pair_num_num:(num->(num->product_prod_num_num))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fbd8>, <kernel.DependentProduct object at 0x109fdd0>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Nat__Onat_J_001t__Option__Ooption_It__Nat__Onat_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc5098337634421038937on_nat:(option_nat->(option_nat->produc4953844613479565601on_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fc68>, <kernel.DependentProduct object at 0x109fbd8>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Num__Onum_J_001t__Option__Ooption_It__Num__Onum_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8585076106096196333on_num:(option_num->(option_num->produc3447558737645232053on_num))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fdd0>, <kernel.DependentProduct object at 0x109f908>) of role type named sy_c_Product__Type_OPair_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Option__Ooption_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc488173922507101015at_nat:(option4927543243414619207at_nat->(option4927543243414619207at_nat->produc6121120109295599847at_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fbd8>, <kernel.DependentProduct object at 0x109fe60>) of role type named sy_c_Product__Type_OPair_001t__VEBT____BuildupMemImp__OVEBTi_001_Eo
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8194178580519725514EBTi_o:(vEBT_VEBTi->(Prop->produc5014006835512566296EBTi_o))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109f908>, <kernel.DependentProduct object at 0x10a1098>) of role type named sy_c_Product__Type_OPair_001t__VEBT____BuildupMemImp__OVEBTi_001t__Real__Oreal
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8457151488442208762i_real:(vEBT_VEBTi->(real->produc6680258955013199682i_real))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fe60>, <kernel.DependentProduct object at 0x10a1170>) of role type named sy_c_Product__Type_OPair_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____BuildupMemImp__OVEBTi
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc436343169921013763_VEBTi:(vEBT_VEBTi->(vEBT_VEBTi->produc3777764054643897931_VEBTi))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fe60>, <kernel.DependentProduct object at 0x10a1200>) of role type named sy_c_Product__Type_OPair_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____Definitions__OVEBT
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc7053807326796202854T_VEBT:(vEBT_VEBTi->(vEBT_VEBT->produc2810682830582626868T_VEBT))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x109fc68>, <kernel.DependentProduct object at 0x10a12d8>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8721562602347293563VEBT_o:(vEBT_VEBT->(Prop->produc334124729049499915VEBT_o))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a11b8>, <kernel.DependentProduct object at 0x10a1290>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc738532404422230701BT_nat:(vEBT_VEBT->(nat->produc9072475918466114483BT_nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1368>, <kernel.DependentProduct object at 0x10a13b0>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8117437818029410057T_real:(vEBT_VEBT->(real->produc5170161368751668367T_real))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1248>, <kernel.DependentProduct object at 0x10a1440>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____BuildupMemImp__OVEBTi
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc6084888613844515218_VEBTi:(vEBT_VEBT->(vEBT_VEBTi->produc3625547720036274456_VEBTi))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a13f8>, <kernel.DependentProduct object at 0x10a1248>) of role type named sy_c_Product__Type_OPair_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc537772716801021591T_VEBT:(vEBT_VEBT->(vEBT_VEBT->produc8243902056947475879T_VEBT))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1440>, <kernel.DependentProduct object at 0x10a11b8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc1553301316500091796er_int:((code_integer->(code_integer->int))->(produc8923325533196201883nteger->int))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1248>, <kernel.DependentProduct object at 0x10a1368>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc1555791787009142072er_nat:((code_integer->(code_integer->nat))->(produc8923325533196201883nteger->nat))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a11b8>, <kernel.DependentProduct object at 0x10a1488>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc7336495610019696514er_num:((code_integer->(code_integer->num))->(produc8923325533196201883nteger->num))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1368>, <kernel.DependentProduct object at 0x10a1518>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc6916734918728496179nteger:((code_integer->(code_integer->produc8923325533196201883nteger))->(produc8923325533196201883nteger->produc8923325533196201883nteger))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1488>, <kernel.DependentProduct object at 0x10a1560>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc4947309494688390418_int_o:((int->(int->Prop))->(product_prod_int_int->Prop))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1518>, <kernel.DependentProduct object at 0x10a1830>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc8211389475949308722nt_int:((int->(int->int))->(product_prod_int_int->int))
% 0.76/0.98 FOF formula (<kernel.Constant object at 0x10a1560>, <kernel.DependentProduct object at 0x10a17e8>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.76/0.98 Using role type
% 0.76/0.98 Declaring produc4245557441103728435nt_int:((int->(int->product_prod_int_int))->(product_prod_int_int->product_prod_int_int))
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1830>, <kernel.DependentProduct object at 0x10a1878>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring produc2626176000494625587at_nat:((nat->(nat->product_prod_nat_nat))->(product_prod_nat_nat->product_prod_nat_nat))
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a17e8>, <kernel.DependentProduct object at 0x10a1908>) of role type named sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring produc478579273971653890on_num:((nat->(num->option_num))->(product_prod_nat_num->option_num))
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1878>, <kernel.Constant object at 0x10a1a70>) of role type named sy_c_Pure_Otype_001t__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Onum1_J_J_J_J_J
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring type_N8448461349408098053l_num1:itself8794530163899892676l_num1
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a19e0>, <kernel.DependentProduct object at 0x10a1b00>) of role type named sy_c_Rat_OFrct
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring frct:(product_prod_int_int->rat)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1638>, <kernel.DependentProduct object at 0x10a1b48>) of role type named sy_c_Rat_Onormalize
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring normalize:(product_prod_int_int->product_prod_int_int)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1a28>, <kernel.DependentProduct object at 0x10a1b90>) of role type named sy_c_Rat_Oquotient__of
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring quotient_of:(rat->product_prod_int_int)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1638>, <kernel.Constant object at 0x10a1b00>) of role type named sy_c_Real__Vector__Spaces_OReals_001t__Complex__Ocomplex
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V2521375963428798218omplex:set_complex
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1b90>, <kernel.DependentProduct object at 0x10a1c20>) of role type named sy_c_Real__Vector__Spaces_Obounded__linear_001t__Real__Oreal_001t__Real__Oreal
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V5970128139526366754l_real:((real->real)->Prop)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1b00>, <kernel.DependentProduct object at 0x10a1cf8>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Complex__Ocomplex
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V1022390504157884413omplex:(complex->real)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1c20>, <kernel.DependentProduct object at 0x10a1d88>) of role type named sy_c_Real__Vector__Spaces_Onorm__class_Onorm_001t__Real__Oreal
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V7735802525324610683m_real:(real->real)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1cf8>, <kernel.DependentProduct object at 0x10a1e18>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Complex__Ocomplex
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V4546457046886955230omplex:(real->complex)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1d88>, <kernel.DependentProduct object at 0x10a1ea8>) of role type named sy_c_Real__Vector__Spaces_Oof__real_001t__Real__Oreal
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V1803761363581548252l_real:(real->real)
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1e18>, <kernel.DependentProduct object at 0x10a1d88>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Complex__Ocomplex
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V2046097035970521341omplex:(real->(complex->complex))
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1ea8>, <kernel.DependentProduct object at 0x10a1e18>) of role type named sy_c_Real__Vector__Spaces_OscaleR__class_OscaleR_001t__Real__Oreal
% 0.81/0.99 Using role type
% 0.81/0.99 Declaring real_V1485227260804924795R_real:(real->(real->real))
% 0.81/0.99 FOF formula (<kernel.Constant object at 0x10a1d88>, <kernel.DependentProduct object at 0x10b2050>) of role type named sy_c_Refine__Imp__Hol_Orefines_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring refine3700189196150522554_VEBTi:(heap_T4980287057938770641_VEBTi->(heap_T4980287057938770641_VEBTi->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1e18>, <kernel.DependentProduct object at 0x10b2050>) of role type named sy_c_Refine__Imp__Hol_Orefines_001t__VEBT____BuildupMemImp__OVEBTi
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring refine5565527176597971370_VEBTi:(heap_T8145700208782473153_VEBTi->(heap_T8145700208782473153_VEBTi->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1e18>, <kernel.DependentProduct object at 0x10b2098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Code____Numeral__Ointeger
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide6298287555418463151nteger:(code_integer->(code_integer->code_integer))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1ea8>, <kernel.DependentProduct object at 0x10b2200>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Complex__Ocomplex
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide1717551699836669952omplex:(complex->(complex->complex))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1e18>, <kernel.DependentProduct object at 0x10b2098>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide_divide_int:(int->(int->int))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1ea8>, <kernel.DependentProduct object at 0x10b20e0>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Nat__Onat
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide_divide_nat:(nat->(nat->nat))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10a1ea8>, <kernel.DependentProduct object at 0x10b2290>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide_divide_rat:(rat->(rat->rat))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2170>, <kernel.DependentProduct object at 0x10b2320>) of role type named sy_c_Rings_Odivide__class_Odivide_001t__Real__Oreal
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring divide_divide_real:(real->(real->real))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2248>, <kernel.DependentProduct object at 0x10b2128>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Assertions__Oassn
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_assn:(assn->(assn->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b22d8>, <kernel.DependentProduct object at 0x10b2170>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Code____Numeral__Ointeger
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_Code_integer:(code_integer->(code_integer->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b20e0>, <kernel.DependentProduct object at 0x10b2248>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Complex__Ocomplex
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_complex:(complex->(complex->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2290>, <kernel.DependentProduct object at 0x10b22d8>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Int__Oint
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_int:(int->(int->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2320>, <kernel.DependentProduct object at 0x10b20e0>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_nat:(nat->(nat->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2128>, <kernel.DependentProduct object at 0x10b2290>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Rat__Orat
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_rat:(rat->(rat->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2170>, <kernel.DependentProduct object at 0x10b2320>) of role type named sy_c_Rings_Odvd__class_Odvd_001t__Real__Oreal
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring dvd_dvd_real:(real->(real->Prop))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2128>, <kernel.DependentProduct object at 0x10b2170>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Code____Numeral__Ointeger
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring modulo364778990260209775nteger:(code_integer->(code_integer->code_integer))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2200>, <kernel.DependentProduct object at 0x10b2320>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Int__Oint
% 0.81/1.00 Using role type
% 0.81/1.00 Declaring modulo_modulo_int:(int->(int->int))
% 0.81/1.00 FOF formula (<kernel.Constant object at 0x10b2248>, <kernel.DependentProduct object at 0x10b2128>) of role type named sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring modulo_modulo_nat:(nat->(nat->nat))
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2200>, <kernel.DependentProduct object at 0x10b2758>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Code____Numeral__Ointeger
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n356916108424825756nteger:(Prop->code_integer)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2128>, <kernel.DependentProduct object at 0x10b22d8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Complex__Ocomplex
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n1201886186963655149omplex:(Prop->complex)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2758>, <kernel.DependentProduct object at 0x10b27e8>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n2684676970156552555ol_int:(Prop->int)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b22d8>, <kernel.DependentProduct object at 0x10b2878>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Nat__Onat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n2687167440665602831ol_nat:(Prop->nat)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b27e8>, <kernel.DependentProduct object at 0x10b2908>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Rat__Orat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n2052037380579107095ol_rat:(Prop->rat)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2878>, <kernel.DependentProduct object at 0x10b2998>) of role type named sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Real__Oreal
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring zero_n3304061248610475627l_real:(Prop->real)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b27e8>, <kernel.DependentProduct object at 0x10b2908>) of role type named sy_c_Series_Osuminf_001t__Complex__Ocomplex
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring suminf_complex:((nat->complex)->complex)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2368>, <kernel.DependentProduct object at 0x10b27e8>) of role type named sy_c_Series_Osuminf_001t__Int__Oint
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring suminf_int:((nat->int)->int)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b29e0>, <kernel.DependentProduct object at 0x10b2908>) of role type named sy_c_Series_Osuminf_001t__Nat__Onat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring suminf_nat:((nat->nat)->nat)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2ab8>, <kernel.DependentProduct object at 0x10b2878>) of role type named sy_c_Series_Osuminf_001t__Real__Oreal
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring suminf_real:((nat->real)->real)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2b48>, <kernel.DependentProduct object at 0x10b2908>) of role type named sy_c_Series_Osummable_001t__Complex__Ocomplex
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring summable_complex:((nat->complex)->Prop)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2b00>, <kernel.DependentProduct object at 0x10b2368>) of role type named sy_c_Series_Osummable_001t__Int__Oint
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring summable_int:((nat->int)->Prop)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2a28>, <kernel.DependentProduct object at 0x10b2ab8>) of role type named sy_c_Series_Osummable_001t__Nat__Onat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring summable_nat:((nat->nat)->Prop)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2b90>, <kernel.DependentProduct object at 0x10b2b48>) of role type named sy_c_Series_Osummable_001t__Real__Oreal
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring summable_real:((nat->real)->Prop)
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2bd8>, <kernel.DependentProduct object at 0x10b2c20>) of role type named sy_c_Series_Osums_001t__Complex__Ocomplex
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring sums_complex:((nat->complex)->(complex->Prop))
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b22d8>, <kernel.DependentProduct object at 0x10b2cb0>) of role type named sy_c_Series_Osums_001t__Int__Oint
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring sums_int:((nat->int)->(int->Prop))
% 0.81/1.01 FOF formula (<kernel.Constant object at 0x10b2b48>, <kernel.DependentProduct object at 0x10b2ab8>) of role type named sy_c_Series_Osums_001t__Nat__Onat
% 0.81/1.01 Using role type
% 0.81/1.01 Declaring sums_nat:((nat->nat)->(nat->Prop))
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2c68>, <kernel.DependentProduct object at 0x10b2d40>) of role type named sy_c_Series_Osums_001t__Real__Oreal
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring sums_real:((nat->real)->(real->Prop))
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2ab8>, <kernel.DependentProduct object at 0x10b2e18>) of role type named sy_c_Set_OCollect_001t__Code____Numeral__Ointeger
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_Code_integer:((code_integer->Prop)->set_Code_integer)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2d40>, <kernel.DependentProduct object at 0x10b22d8>) of role type named sy_c_Set_OCollect_001t__Complex__Ocomplex
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_complex:((complex->Prop)->set_complex)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2cb0>, <kernel.DependentProduct object at 0x10b2ea8>) of role type named sy_c_Set_OCollect_001t__Int__Oint
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_int:((int->Prop)->set_int)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2b90>, <kernel.DependentProduct object at 0x10b2d40>) of role type named sy_c_Set_OCollect_001t__List__Olist_I_Eo_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_list_o:((list_o->Prop)->set_list_o)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2ea8>, <kernel.DependentProduct object at 0x10b2ef0>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Complex__Ocomplex_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_list_complex:((list_complex->Prop)->set_list_complex)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2c20>, <kernel.DependentProduct object at 0x10b2f38>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Int__Oint_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_list_int:((list_int->Prop)->set_list_int)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2b48>, <kernel.DependentProduct object at 0x10b2f80>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Nat__Onat_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_list_nat:((list_nat->Prop)->set_list_nat)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2ab8>, <kernel.DependentProduct object at 0x10b2fc8>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__Real__Oreal_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_list_real:((list_real->Prop)->set_list_real)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2b48>, <kernel.DependentProduct object at 0x10b5050>) of role type named sy_c_Set_OCollect_001t__List__Olist_It__VEBT____Definitions__OVEBT_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collec5608196760682091941T_VEBT:((list_VEBT_VEBT->Prop)->set_list_VEBT_VEBT)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2bd8>, <kernel.DependentProduct object at 0x10b5128>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b22d8>, <kernel.DependentProduct object at 0x10b5170>) of role type named sy_c_Set_OCollect_001t__Num__Onum
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_num:((num->Prop)->set_num)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2bd8>, <kernel.DependentProduct object at 0x10b5050>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collec213857154873943460nt_int:((product_prod_int_int->Prop)->set_Pr958786334691620121nt_int)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2fc8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set_OCollect_001t__Rat__Orat
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_rat:((rat->Prop)->set_rat)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b2bd8>, <kernel.DependentProduct object at 0x10b5290>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_real:((real->Prop)->set_real)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b22d8>, <kernel.DependentProduct object at 0x10b5050>) of role type named sy_c_Set_OCollect_001t__VEBT____Definitions__OVEBT
% 0.81/1.02 Using role type
% 0.81/1.02 Declaring collect_VEBT_VEBT:((vEBT_VEBT->Prop)->set_VEBT_VEBT)
% 0.81/1.02 FOF formula (<kernel.Constant object at 0x10b5290>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set_Oimage_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_4470545334726330049nteger:((code_integer->code_integer)->(set_Code_integer->set_Code_integer))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b2bd8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_int_int:((int->int)->(set_int->set_int))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5128>, <kernel.DependentProduct object at 0x10b5200>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_nat_int:((nat->int)->(set_nat->set_int))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5098>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5050>, <kernel.DependentProduct object at 0x10b53b0>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_nat_char:((nat->char)->(set_nat->set_char))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5128>, <kernel.DependentProduct object at 0x10b5368>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5098>, <kernel.DependentProduct object at 0x10b5290>) of role type named sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_char_nat:((char->nat)->(set_char->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5050>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set_Oimage_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring image_VEBT_VEBT_nat:((vEBT_VEBT->nat)->(set_VEBT_VEBT->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5128>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set_Oinsert_001_Eo
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_o:(Prop->(set_o->set_o))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b55a8>, <kernel.DependentProduct object at 0x10b5050>) of role type named sy_c_Set_Oinsert_001t__Code____Numeral__Ointeger
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_Code_integer:(code_integer->(set_Code_integer->set_Code_integer))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5098>, <kernel.DependentProduct object at 0x10b5128>) of role type named sy_c_Set_Oinsert_001t__Complex__Ocomplex
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_complex:(complex->(set_complex->set_complex))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b52d8>, <kernel.DependentProduct object at 0x10b5098>) of role type named sy_c_Set_Oinsert_001t__Int__Oint
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_int:(int->(set_int->set_int))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b55f0>, <kernel.DependentProduct object at 0x10b5128>) of role type named sy_c_Set_Oinsert_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_nat:(nat->(set_nat->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b52d8>) of role type named sy_c_Set_Oinsert_001t__Num__Onum
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_num:(num->(set_num->set_num))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b55f0>) of role type named sy_c_Set_Oinsert_001t__Rat__Orat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_rat:(rat->(set_rat->set_rat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5050>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set_Oinsert_001t__Real__Oreal
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_real:(real->(set_real->set_real))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b55a8>) of role type named sy_c_Set_Oinsert_001t__VEBT____BuildupMemImp__OVEBTi
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_VEBT_VEBTi:(vEBT_VEBTi->(set_VEBT_VEBTi->set_VEBT_VEBTi))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5830>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set_Oinsert_001t__VEBT____Definitions__OVEBT
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring insert_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->set_VEBT_VEBT))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set__Interval_Ofold__atLeastAtMost__nat_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_fo2584398358068434914at_nat:((nat->(nat->nat))->(nat->(nat->(nat->nat))))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Code____Numeral__Ointeger
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or189985376899183464nteger:(code_integer->(code_integer->set_Code_integer))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or1266510415728281911st_int:(int->(int->set_int))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or1269000886237332187st_nat:(nat->(nat->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Num__Onum
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or7049704709247886629st_num:(num->(num->set_num))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Rat__Orat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or633870826150836451st_rat:(rat->(rat->set_rat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or1222579329274155063t_real:(real->(real->set_real))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Nat__Onat_J
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or4548717258645045905et_nat:(set_nat->(set_nat->set_set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Code____Numeral__Ointeger
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or8404916559141939852nteger:(code_integer->(code_integer->set_Code_integer))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or4662586982721622107an_int:(int->(int->set_int))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or4665077453230672383an_nat:(nat->(nat->set_nat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Num__Onum
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or1222409239386451017an_num:(num->(num->set_num))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b51b8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Rat__Orat
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or4029947393144176647an_rat:(rat->(rat->set_rat))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b56c8>, <kernel.DependentProduct object at 0x10b5248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Real__Oreal
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or66887138388493659n_real:(real->(real->set_real))
% 0.81/1.03 FOF formula (<kernel.Constant object at 0x10b51b8>, <kernel.DependentProduct object at 0x10b56c8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Set__Oset_It__Nat__Onat_J
% 0.81/1.03 Using role type
% 0.81/1.03 Declaring set_or3540276404033026485et_nat:(set_nat->(set_nat->set_set_nat))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b5ef0>, <kernel.DependentProduct object at 0x10b8098>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_ord_atLeast_nat:(nat->set_nat)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b5f80>, <kernel.DependentProduct object at 0x10b8128>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_ord_atMost_nat:(nat->set_nat)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b5ef0>, <kernel.DependentProduct object at 0x10b80e0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Code____Numeral__Ointeger
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or2715278749043346189nteger:(code_integer->(code_integer->set_Code_integer))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b5ef0>, <kernel.DependentProduct object at 0x10b81b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Int__Oint
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or6656581121297822940st_int:(int->(int->set_int))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b5248>, <kernel.DependentProduct object at 0x10b8248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or6659071591806873216st_nat:(nat->(nat->set_nat))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b81b8>, <kernel.DependentProduct object at 0x10b82d8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Code____Numeral__Ointeger
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or4266950643985792945nteger:(code_integer->(code_integer->set_Code_integer))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b80e0>, <kernel.DependentProduct object at 0x10b8368>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Int__Oint
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or5832277885323065728an_int:(int->(int->set_int))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b8248>, <kernel.DependentProduct object at 0x10b83f8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or5834768355832116004an_nat:(nat->(nat->set_nat))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b8170>, <kernel.DependentProduct object at 0x10b8248>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or1633881224788618240n_real:(real->(real->set_real))
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b83f8>, <kernel.DependentProduct object at 0x10b81b8>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or1210151606488870762an_nat:(nat->set_nat)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b8248>, <kernel.DependentProduct object at 0x10b85f0>) of role type named sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or5849166863359141190n_real:(real->set_real)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b81b8>, <kernel.DependentProduct object at 0x10b8680>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Code____Numeral__Ointeger
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_or5754767410780653050nteger:(code_integer->set_Code_integer)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b80e0>, <kernel.DependentProduct object at 0x10b8710>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Int__Oint
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_ord_lessThan_int:(int->set_int)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b85a8>, <kernel.DependentProduct object at 0x10b8758>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_ord_lessThan_nat:(nat->set_nat)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b8638>, <kernel.DependentProduct object at 0x10b87a0>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Num__Onum
% 0.81/1.04 Using role type
% 0.81/1.04 Declaring set_ord_lessThan_num:(num->set_num)
% 0.81/1.04 FOF formula (<kernel.Constant object at 0x10b8680>, <kernel.DependentProduct object at 0x10b87e8>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Rat__Orat
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring set_ord_lessThan_rat:(rat->set_rat)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8638>, <kernel.DependentProduct object at 0x10b8830>) of role type named sy_c_Set__Interval_Oord__class_OlessThan_001t__Real__Oreal
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring set_or5984915006950818249n_real:(real->set_real)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b87e8>, <kernel.DependentProduct object at 0x10b8638>) of role type named sy_c_Signed__Division_Osigned__division__class_Osigned__divide_001t__Int__Oint
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring signed6714573509424544716de_int:(int->(int->int))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8830>, <kernel.DependentProduct object at 0x10b87e8>) of role type named sy_c_Signed__Division_Osigned__division__class_Osigned__modulo_001t__Int__Oint
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring signed6292675348222524329lo_int:(int->(int->int))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8710>, <kernel.DependentProduct object at 0x10b88c0>) of role type named sy_c_String_Oascii__of
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring ascii_of:(char->char)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8680>, <kernel.DependentProduct object at 0x10b8a28>) of role type named sy_c_String_Ochar_OChar
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring char2:(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->(Prop->char))))))))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8290>, <kernel.DependentProduct object at 0x10b8b48>) of role type named sy_c_String_Ochar_Osize__char
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring size_char:(char->nat)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8710>, <kernel.DependentProduct object at 0x10b8680>) of role type named sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring comm_s629917340098488124ar_nat:(char->nat)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8998>, <kernel.DependentProduct object at 0x10b8bd8>) of role type named sy_c_String_Ointeger__of__char
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring integer_of_char:(char->code_integer)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8290>, <kernel.DependentProduct object at 0x10b8710>) of role type named sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring unique3096191561947761185of_nat:(nat->char)
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8b00>, <kernel.DependentProduct object at 0x10b8998>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__List__Olist_It__Nat__Onat_J
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_TBOUND_list_nat:(heap_T290393402774840812st_nat->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8290>, <kernel.DependentProduct object at 0x10b8b00>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__List__Olist_It__Option__Ooption_It__Nat__Onat_J_J
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_T3808005469503390304on_nat:(heap_T5317711798761887292on_nat->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8998>, <kernel.DependentProduct object at 0x10b8290>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_T8149879359713347829_VEBTi:(heap_T4980287057938770641_VEBTi->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8b90>, <kernel.DependentProduct object at 0x10b8b00>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__Nat__Onat
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_TBOUND_nat:(heap_Time_Heap_nat->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8998>, <kernel.DependentProduct object at 0x10b8b90>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__Option__Ooption_It__Nat__Onat_J
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_T8353473612707095248on_nat:(heap_T2636463487746394924on_nat->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8b00>, <kernel.DependentProduct object at 0x10b8998>) of role type named sy_c_Time__Reasoning_OTBOUND_001t__VEBT____BuildupMemImp__OVEBTi
% 0.86/1.05 Using role type
% 0.86/1.05 Declaring time_T5737551269749752165_VEBTi:(heap_T8145700208782473153_VEBTi->(nat->Prop))
% 0.86/1.05 FOF formula (<kernel.Constant object at 0x10b8cb0>, <kernel.DependentProduct object at 0x10b8b90>) of role type named sy_c_Time__Reasoning_Ohtt_001t__Nat__Onat
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring time_htt_nat:(assn->(heap_Time_Heap_nat->((nat->assn)->(nat->Prop))))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8f38>, <kernel.DependentProduct object at 0x10b8fc8>) of role type named sy_c_Time__Reasoning_Ohtt_001t__Option__Ooption_It__Nat__Onat_J
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring time_htt_option_nat:(assn->(heap_T2636463487746394924on_nat->((option_nat->assn)->(nat->Prop))))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8ef0>, <kernel.DependentProduct object at 0x10b8e18>) of role type named sy_c_Time__Reasoning_Ohtt_001t__VEBT____BuildupMemImp__OVEBTi
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring time_htt_VEBT_VEBTi:(assn->(heap_T8145700208782473153_VEBTi->((vEBT_VEBTi->assn)->(nat->Prop))))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8f38>, <kernel.DependentProduct object at 0x10b8ea8>) of role type named sy_c_Time__Reasoning_Otime_001t__List__Olist_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring time_t3534373299052942712_VEBTi:(heap_T4980287057938770641_VEBTi->(heap_e7401611519738050253t_unit->nat))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8ef0>, <kernel.DependentProduct object at 0x10b8cb0>) of role type named sy_c_Time__Reasoning_Otime_001t__VEBT____BuildupMemImp__OVEBTi
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring time_time_VEBT_VEBTi:(heap_T8145700208782473153_VEBTi->(heap_e7401611519738050253t_unit->nat))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8f38>, <kernel.DependentProduct object at 0x10bc170>) of role type named sy_c_Topological__Spaces_Ocontinuous_001t__Real__Oreal_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo4422821103128117721l_real:(filter_real->((real->real)->Prop))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8cb0>, <kernel.DependentProduct object at 0x10bc200>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Real__Oreal_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo5044208981011980120l_real:(set_real->((real->real)->Prop))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8cb0>, <kernel.DependentProduct object at 0x10bc200>) of role type named sy_c_Topological__Spaces_Omonoseq_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo6980174941875973593q_real:((nat->real)->Prop)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8998>, <kernel.DependentProduct object at 0x10bc248>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo2177554685111907308n_real:(real->(set_real->filter_real))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc200>, <kernel.DependentProduct object at 0x10bc170>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Onhds_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo2815343760600316023s_real:(real->filter_real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc290>, <kernel.DependentProduct object at 0x10bc170>) of role type named sy_c_Topological__Spaces_Ouniform__space__class_OCauchy_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring topolo4055970368930404560y_real:((nat->real)->Prop)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10b8998>, <kernel.DependentProduct object at 0x10bc440>) of role type named sy_c_Transcendental_Oarccos
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring arccos:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc170>, <kernel.DependentProduct object at 0x10bc488>) of role type named sy_c_Transcendental_Oarcosh_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring arcosh_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc098>, <kernel.DependentProduct object at 0x10bc4d0>) of role type named sy_c_Transcendental_Oarcsin
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring arcsin:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc290>, <kernel.DependentProduct object at 0x10bc518>) of role type named sy_c_Transcendental_Oarctan
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring arctan:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc440>, <kernel.DependentProduct object at 0x10bc560>) of role type named sy_c_Transcendental_Oarsinh_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring arsinh_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc488>, <kernel.DependentProduct object at 0x10bc5a8>) of role type named sy_c_Transcendental_Oartanh_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring artanh_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc4d0>, <kernel.DependentProduct object at 0x10bc5f0>) of role type named sy_c_Transcendental_Ocos_001t__Complex__Ocomplex
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring cos_complex:(complex->complex)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc518>, <kernel.DependentProduct object at 0x10bc638>) of role type named sy_c_Transcendental_Ocos_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring cos_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc3b0>, <kernel.DependentProduct object at 0x10bc6c8>) of role type named sy_c_Transcendental_Ocos__coeff
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring cos_coeff:(nat->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc5f0>, <kernel.DependentProduct object at 0x10bc518>) of role type named sy_c_Transcendental_Ocosh_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring cosh_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc6c8>, <kernel.DependentProduct object at 0x10bc710>) of role type named sy_c_Transcendental_Ocot_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring cot_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc440>, <kernel.DependentProduct object at 0x10bc758>) of role type named sy_c_Transcendental_Oexp_001t__Complex__Ocomplex
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring exp_complex:(complex->complex)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc3b0>, <kernel.DependentProduct object at 0x10bc7a0>) of role type named sy_c_Transcendental_Oexp_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring exp_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc518>, <kernel.DependentProduct object at 0x10bc7e8>) of role type named sy_c_Transcendental_Oln__class_Oln_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring ln_ln_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc710>, <kernel.DependentProduct object at 0x10bc3b0>) of role type named sy_c_Transcendental_Olog
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring log:(real->(real->real))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc830>, <kernel.Constant object at 0x10bc3b0>) of role type named sy_c_Transcendental_Opi
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring pi:real
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc7e8>, <kernel.DependentProduct object at 0x10bc710>) of role type named sy_c_Transcendental_Opowr_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring powr_real:(real->(real->real))
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc758>, <kernel.DependentProduct object at 0x10bc908>) of role type named sy_c_Transcendental_Osin_001t__Complex__Ocomplex
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring sin_complex:(complex->complex)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc6c8>, <kernel.DependentProduct object at 0x10bc7a0>) of role type named sy_c_Transcendental_Osin_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring sin_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc560>, <kernel.DependentProduct object at 0x10bc9e0>) of role type named sy_c_Transcendental_Osin__coeff
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring sin_coeff:(nat->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc908>, <kernel.DependentProduct object at 0x10bc6c8>) of role type named sy_c_Transcendental_Osinh_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring sinh_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc9e0>, <kernel.DependentProduct object at 0x10bca28>) of role type named sy_c_Transcendental_Otan_001t__Complex__Ocomplex
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring tan_complex:(complex->complex)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc830>, <kernel.DependentProduct object at 0x10bca70>) of role type named sy_c_Transcendental_Otan_001t__Real__Oreal
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring tan_real:(real->real)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc560>, <kernel.DependentProduct object at 0x10bcab8>) of role type named sy_c_Transcendental_Otanh_001t__Complex__Ocomplex
% 0.86/1.06 Using role type
% 0.86/1.06 Declaring tanh_complex:(complex->complex)
% 0.86/1.06 FOF formula (<kernel.Constant object at 0x10bc6c8>, <kernel.DependentProduct object at 0x10bcb00>) of role type named sy_c_Transcendental_Otanh_001t__Real__Oreal
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring tanh_real:(real->real)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bc560>, <kernel.DependentProduct object at 0x10bcb48>) of role type named sy_c_Type__Length_Olen0__class_Olen__of_001t__Enum__Ofinite____2
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring type_l31302759751748492nite_2:(itself_finite_2->nat)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb00>, <kernel.DependentProduct object at 0x10bcbd8>) of role type named sy_c_Type__Length_Olen0__class_Olen__of_001t__Enum__Ofinite____3
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring type_l31302759751748493nite_3:(itself_finite_3->nat)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb48>, <kernel.DependentProduct object at 0x10bcc68>) of role type named sy_c_Type__Length_Olen0__class_Olen__of_001t__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Obit0_It__Numeral____Type__Onum1_J_J_J_J_J
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring type_l796852477590012082l_num1:(itself8794530163899892676l_num1->nat)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcbd8>, <kernel.DependentProduct object at 0x10bccf8>) of role type named sy_c_Type__Length_Olen0__class_Olen__of_001t__Numeral____Type__Onum0
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring type_l4264026598287037464l_num0:(itself_Numeral_num0->nat)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10bcc68>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_i_n_s_e_r_t:(vEBT_VEBT->(nat->nat))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcd88>, <kernel.DependentProduct object at 0x10bcbd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_i_n_s_e_r_t2:(vEBT_VEBT->(nat->nat))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10bccf8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H__rel
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T5076183648494686801_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcbd8>, <kernel.DependentProduct object at 0x10bcb48>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t__rel
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T9217963907923527482_t_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcd88>, <kernel.DependentProduct object at 0x10bcf38>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_m_a_x_t:(vEBT_VEBT->nat)
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bccb0>, <kernel.DependentProduct object at 0x10bcbd8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t__rel
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_m_a_x_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10bcd88>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_m_e_m_b_e_r:(vEBT_VEBT->(nat->nat))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcf80>, <kernel.DependentProduct object at 0x10bccb0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H
% 0.88/1.07 Using role type
% 0.88/1.07 Declaring vEBT_T_m_e_m_b_e_r2:(vEBT_VEBT->(nat->nat))
% 0.88/1.07 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10bf098>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T8099345112685741742_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bccb0>, <kernel.DependentProduct object at 0x10bf098>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T5837161174952499735_r_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10ba1b8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_m_i_n_N_u_l_l:(vEBT_VEBT->nat)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bccb0>, <kernel.DependentProduct object at 0x10ba170>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T5462971552011256508_l_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bcb90>, <kernel.DependentProduct object at 0x10ba290>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_m_i_n_t:(vEBT_VEBT->nat)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bccb0>, <kernel.DependentProduct object at 0x10ba0e0>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_m_i_n_t_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10bccb0>, <kernel.DependentProduct object at 0x10ba248>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_p_r_e_d:(vEBT_VEBT->(nat->nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba200>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_p_r_e_d2:(vEBT_VEBT->(nat->nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba368>, <kernel.DependentProduct object at 0x10ba200>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_p_r_e_d_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba3f8>, <kernel.DependentProduct object at 0x10ba200>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_p_r_e_d_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba290>, <kernel.DependentProduct object at 0x10ba368>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_s_u_c_c:(vEBT_VEBT->(nat->nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba3f8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_s_u_c_c2:(vEBT_VEBT->(nat->nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba488>, <kernel.DependentProduct object at 0x10ba3f8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_s_u_c_c_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba518>, <kernel.DependentProduct object at 0x10ba3f8>) of role type named sy_c_VEBT__Bounds_OT_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_T_s_u_c_c_rel2:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba488>, <kernel.DependentProduct object at 0x10ba2d8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OT__vebt__buildupi
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V441764108873111860ildupi:(nat->nat)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba3f8>, <kernel.DependentProduct object at 0x10ba5f0>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OT__vebt__buildupi_H
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V9176841429113362141ildupi:(nat->int)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba3f8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OT__vebt__buildupi_H__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V3352910403632780892pi_rel:(nat->(nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba5f0>, <kernel.DependentProduct object at 0x10ba2d8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OT__vebt__buildupi__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V2957053500504383685pi_rel:(nat->(nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba6c8>, <kernel.DependentProduct object at 0x10ba7a0>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OTb
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_Tb:(nat->int)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba050>, <kernel.DependentProduct object at 0x10ba7e8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OTb_H
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_Tb2:(nat->nat)
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba488>, <kernel.DependentProduct object at 0x10ba6c8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OTb_H__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_Tb_rel:(nat->(nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba3f8>, <kernel.DependentProduct object at 0x10ba050>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_OTb__rel
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_Tb_rel2:(nat->(nat->Prop))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba488>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Ohighi
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_highi:(nat->(nat->heap_Time_Heap_nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba830>, <kernel.DependentProduct object at 0x10ba3f8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Olowi
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_VEBT_lowi:(nat->(nat->heap_Time_Heap_nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba830>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Oreplicatei_001_Eo
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V2326993469660664182atei_o:(nat->(heap_Time_Heap_o->heap_T844314716496656296list_o))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba3f8>, <kernel.DependentProduct object at 0x10ba2d8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Oreplicatei_001t__Nat__Onat
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V7726092123322077554ei_nat:(nat->(heap_Time_Heap_nat->heap_T290393402774840812st_nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba830>, <kernel.DependentProduct object at 0x10ba6c8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Oreplicatei_001t__Option__Ooption_It__Nat__Onat_J
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V792416675989592002on_nat:(nat->(heap_T2636463487746394924on_nat->heap_T5317711798761887292on_nat))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10baa70>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Oreplicatei_001t__VEBT____BuildupMemImp__OVEBTi
% 0.88/1.08 Using role type
% 0.88/1.08 Declaring vEBT_V1859673955506687831_VEBTi:(nat->(heap_T8145700208782473153_VEBTi->heap_T4980287057938770641_VEBTi))
% 0.88/1.08 FOF formula (<kernel.Constant object at 0x10ba6c8>, <kernel.DependentProduct object at 0x10ba2d8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Ovebt__buildupi_H
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_V739175172307565963ildupi:(nat->heap_T8145700208782473153_VEBTi)
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10baa70>, <kernel.DependentProduct object at 0x10ba6c8>) of role type named sy_c_VEBT__BuildupMemImp_OVEBT__internal_Ovebt__memberi_H
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_V854960066525838166emberi:(vEBT_VEBT->(vEBT_VEBTi->(nat->heap_Time_Heap_o)))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bac68>, <kernel.DependentProduct object at 0x10bac20>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_OLeafi
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_Leafi:(Prop->(Prop->vEBT_VEBTi))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bab48>, <kernel.DependentProduct object at 0x10baa70>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_ONodei
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_Nodei:(option4927543243414619207at_nat->(nat->(array_VEBT_VEBTi->(vEBT_VEBTi->vEBT_VEBTi))))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bac68>, <kernel.DependentProduct object at 0x10bae60>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_Ocase__VEBTi_001t__Heap____Time____Monad__OHeap_It__Nat__Onat_J
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_c1335663792808957512ap_nat:((option4927543243414619207at_nat->(nat->(array_VEBT_VEBTi->(vEBT_VEBTi->heap_Time_Heap_nat))))->((Prop->(Prop->heap_Time_Heap_nat))->(vEBT_VEBTi->heap_Time_Heap_nat)))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10baa70>, <kernel.DependentProduct object at 0x10badd0>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_Ocase__VEBTi_001t__Heap____Time____Monad__OHeap_It__Option__Ooption_It__Nat__Onat_J_J
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_c6250501799366334488on_nat:((option4927543243414619207at_nat->(nat->(array_VEBT_VEBTi->(vEBT_VEBTi->heap_T2636463487746394924on_nat))))->((Prop->(Prop->heap_T2636463487746394924on_nat))->(vEBT_VEBTi->heap_T2636463487746394924on_nat)))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bae60>, <kernel.DependentProduct object at 0x10ba830>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_Ocase__VEBTi_001t__Heap____Time____Monad__OHeap_It__VEBT____BuildupMemImp__OVEBTi_J
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_c6028912655521741485_VEBTi:((option4927543243414619207at_nat->(nat->(array_VEBT_VEBTi->(vEBT_VEBTi->heap_T8145700208782473153_VEBTi))))->((Prop->(Prop->heap_T8145700208782473153_VEBTi))->(vEBT_VEBTi->heap_T8145700208782473153_VEBTi)))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10ba2d8>, <kernel.DependentProduct object at 0x10ba830>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_Ocase__VEBTi_001t__Nat__Onat
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_case_VEBTi_nat:((option4927543243414619207at_nat->(nat->(array_VEBT_VEBTi->(vEBT_VEBTi->nat))))->((Prop->(Prop->nat))->(vEBT_VEBTi->nat)))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10baef0>, <kernel.DependentProduct object at 0x10baf80>) of role type named sy_c_VEBT__BuildupMemImp_OVEBTi_Osize__VEBTi
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_size_VEBTi:(vEBT_VEBTi->nat)
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bab48>, <kernel.DependentProduct object at 0x10ba2d8>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__assn__raw
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_vebt_assn_raw:(vEBT_VEBT->(vEBT_VEBTi->assn))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10baef0>, <kernel.DependentProduct object at 0x10ba830>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__assn__raw__rel
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_v8524038756793281170aw_rel:(produc3625547720036274456_VEBTi->(produc3625547720036274456_VEBTi->Prop))
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bae18>, <kernel.DependentProduct object at 0x10c1050>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__buildupi
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_vebt_buildupi:(nat->heap_T8145700208782473153_VEBTi)
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10bacf8>, <kernel.DependentProduct object at 0x10c10e0>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__maxti
% 0.88/1.09 Using role type
% 0.88/1.09 Declaring vEBT_vebt_maxti:(vEBT_VEBTi->heap_T2636463487746394924on_nat)
% 0.88/1.09 FOF formula (<kernel.Constant object at 0x10ba830>, <kernel.DependentProduct object at 0x10c1050>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__maxti__rel
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_vebt_maxti_rel:(vEBT_VEBTi->(vEBT_VEBTi->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10baf80>, <kernel.DependentProduct object at 0x10c1050>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__minti
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_vebt_minti:(vEBT_VEBTi->heap_T2636463487746394924on_nat)
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10bacf8>, <kernel.DependentProduct object at 0x10c10e0>) of role type named sy_c_VEBT__BuildupMemImp_Ovebt__minti__rel
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_vebt_minti_rel:(vEBT_VEBTi->(vEBT_VEBTi->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10bab48>, <kernel.DependentProduct object at 0x10c11b8>) of role type named sy_c_VEBT__Definitions_OVEBT_OLeaf
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_Leaf:(Prop->(Prop->vEBT_VEBT))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10baf80>, <kernel.DependentProduct object at 0x10c1200>) of role type named sy_c_VEBT__Definitions_OVEBT_ONode
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_Node:(option4927543243414619207at_nat->(nat->(list_VEBT_VEBT->(vEBT_VEBT->vEBT_VEBT))))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10ba830>, <kernel.DependentProduct object at 0x10c1098>) of role type named sy_c_VEBT__Definitions_OVEBT_Osize__VEBT
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_size_VEBT:(vEBT_VEBT->nat)
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c10e0>, <kernel.DependentProduct object at 0x10c12d8>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oboth__member__options
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_V8194947554948674370ptions:(vEBT_VEBT->(nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1368>, <kernel.DependentProduct object at 0x10c1200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ohigh
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_VEBT_high:(nat->(nat->nat))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c10e0>, <kernel.DependentProduct object at 0x10c1368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Oin__children
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_V5917875025757280293ildren:(nat->(list_VEBT_VEBT->(nat->Prop)))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1128>, <kernel.DependentProduct object at 0x10c1200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Olow
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_VEBT_low:(nat->(nat->nat))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1488>, <kernel.DependentProduct object at 0x10c10e0>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_VEBT_membermima:(vEBT_VEBT->(nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1128>, <kernel.DependentProduct object at 0x10c1368>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Omembermima__rel
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_V4351362008482014158ma_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c10e0>, <kernel.DependentProduct object at 0x10c1128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_V5719532721284313246member:(vEBT_VEBT->(nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1368>, <kernel.DependentProduct object at 0x10c1200>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Onaive__member__rel
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_V5765760719290551771er_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1560>, <kernel.DependentProduct object at 0x10c1128>) of role type named sy_c_VEBT__Definitions_OVEBT__internal_Ovalid_H
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_VEBT_valid:(vEBT_VEBT->(nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1170>, <kernel.DependentProduct object at 0x10c1560>) of role type named sy_c_VEBT__Definitions_Oinvar__vebt
% 0.88/1.10 Using role type
% 0.88/1.10 Declaring vEBT_invar_vebt:(vEBT_VEBT->(nat->Prop))
% 0.88/1.10 FOF formula (<kernel.Constant object at 0x10c1638>, <kernel.DependentProduct object at 0x10c1710>) of role type named sy_c_VEBT__Definitions_Oset__vebt
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c15a8>, <kernel.DependentProduct object at 0x10c1128>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_vebt_buildup:(nat->vEBT_VEBT)
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1170>, <kernel.DependentProduct object at 0x10c15a8>) of role type named sy_c_VEBT__Definitions_Ovebt__buildup__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_v4011308405150292612up_rel:(nat->(nat->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1758>, <kernel.DependentProduct object at 0x10c1128>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_T_d_e_l_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1170>, <kernel.DependentProduct object at 0x10c1710>) of role type named sy_c_VEBT__DeleteBounds_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_T8441311223069195367_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1128>, <kernel.DependentProduct object at 0x10c1170>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_H
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_V1232361888498592333_e_t_e:(vEBT_VEBT->(nat->nat))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1710>, <kernel.DependentProduct object at 0x10c15a8>) of role type named sy_c_VEBT__DeleteBounds_OVEBT__internal_OT_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_H__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_V6368547301243506412_e_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c16c8>, <kernel.DependentProduct object at 0x10c1710>) of role type named sy_c_VEBT__Delete_Ovebt__delete
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_vebt_delete:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1a70>, <kernel.DependentProduct object at 0x10c16c8>) of role type named sy_c_VEBT__Delete_Ovebt__delete__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_vebt_delete_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1128>, <kernel.DependentProduct object at 0x10c1170>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_VEBT_height:(vEBT_VEBT->nat)
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1998>, <kernel.DependentProduct object at 0x10c1a70>) of role type named sy_c_VEBT__Height_OVEBT__internal_Oheight__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_VEBT_height_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1950>, <kernel.DependentProduct object at 0x10c1998>) of role type named sy_c_VEBT__Insert_Ovebt__insert
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_vebt_insert:(vEBT_VEBT->(nat->vEBT_VEBT))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1b90>, <kernel.DependentProduct object at 0x10c1950>) of role type named sy_c_VEBT__Insert_Ovebt__insert__rel
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_vebt_insert_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1a70>, <kernel.DependentProduct object at 0x10c1b90>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001_Eo_001t__VEBT____BuildupMemImp__OVEBTi
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_L6286945158656146733_VEBTi:(set_nat->((Prop->(vEBT_VEBTi->assn))->(list_o->(list_VEBT_VEBTi->assn))))
% 0.88/1.11 FOF formula (<kernel.Constant object at 0x10c1950>, <kernel.DependentProduct object at 0x10c1a70>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001_Eo_001t__VEBT____Definitions__OVEBT
% 0.88/1.11 Using role type
% 0.88/1.11 Declaring vEBT_L1319876754960170684T_VEBT:(set_nat->((Prop->(vEBT_VEBT->assn))->(list_o->(list_VEBT_VEBT->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1b90>, <kernel.DependentProduct object at 0x10c1d40>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Int__Oint_001t__VEBT____Definitions__OVEBT
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L2018189785592951398T_VEBT:(set_nat->((int->(vEBT_VEBT->assn))->(list_int->(list_VEBT_VEBT->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1a70>, <kernel.DependentProduct object at 0x10c1128>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Nat__Onat_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L7489483478785760935_VEBTi:(set_nat->((nat->(vEBT_VEBTi->assn))->(list_nat->(list_VEBT_VEBTi->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1d40>, <kernel.DependentProduct object at 0x10c1d88>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Nat__Onat_001t__VEBT____Definitions__OVEBT
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L8511957252848910786T_VEBT:(set_nat->((nat->(vEBT_VEBT->assn))->(list_nat->(list_VEBT_VEBT->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1128>, <kernel.DependentProduct object at 0x10c1cf8>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Real__Oreal_001t__Nat__Onat
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L234762979517870878al_nat:(set_nat->((real->(nat->assn))->(list_real->(list_nat->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1d88>, <kernel.DependentProduct object at 0x10c1950>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Real__Oreal_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L7851252805511451907_VEBTi:(set_nat->((real->(vEBT_VEBTi->assn))->(list_real->(list_VEBT_VEBTi->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1cf8>, <kernel.DependentProduct object at 0x10c1d40>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__Real__Oreal_001t__VEBT____Definitions__OVEBT
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L3095048238742455910T_VEBT:(set_nat->((real->(vEBT_VEBT->assn))->(list_real->(list_VEBT_VEBT->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1950>, <kernel.DependentProduct object at 0x10c4050>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001_Eo
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L3328983362619735041EBTi_o:(set_nat->((vEBT_VEBTi->(Prop->assn))->(list_VEBT_VEBTi->(list_o->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1d40>, <kernel.DependentProduct object at 0x10c4098>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__Int__Oint
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L2806540629473551875Ti_int:(set_nat->((vEBT_VEBTi->(int->assn))->(list_VEBT_VEBTi->(list_int->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1d40>, <kernel.DependentProduct object at 0x10c4248>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__Nat__Onat
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L2809031099982602151Ti_nat:(set_nat->((vEBT_VEBTi->(nat->assn))->(list_VEBT_VEBTi->(list_nat->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c1d88>, <kernel.DependentProduct object at 0x10c42d8>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__Real__Oreal
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L7728200936804140803i_real:(set_nat->((vEBT_VEBTi->(real->assn))->(list_VEBT_VEBTi->(list_real->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c4248>, <kernel.DependentProduct object at 0x10c40e0>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L886525131989349516_VEBTi:(set_nat->((vEBT_VEBTi->(vEBT_VEBTi->assn))->(list_VEBT_VEBTi->(list_VEBT_VEBTi->assn))))
% 0.94/1.12 FOF formula (<kernel.Constant object at 0x10c4170>, <kernel.DependentProduct object at 0x10c4248>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____Definitions__OVEBT
% 0.94/1.12 Using role type
% 0.94/1.12 Declaring vEBT_L2497118539674116125T_VEBT:(set_nat->((vEBT_VEBTi->(vEBT_VEBT->assn))->(list_VEBT_VEBTi->(list_VEBT_VEBT->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4098>, <kernel.DependentProduct object at 0x10c4518>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L7058566406413635588VEBT_o:(set_nat->((vEBT_VEBT->(Prop->assn))->(list_VEBT_VEBT->(list_o->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4128>, <kernel.DependentProduct object at 0x10c4488>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L8648204552663881920BT_int:(set_nat->((vEBT_VEBT->(int->assn))->(list_VEBT_VEBT->(list_int->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4518>, <kernel.DependentProduct object at 0x10c4050>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L8650695023172932196BT_nat:(set_nat->((vEBT_VEBT->(nat->assn))->(list_VEBT_VEBT->(list_nat->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4488>, <kernel.DependentProduct object at 0x10c44d0>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L4281036506115550016T_real:(set_nat->((vEBT_VEBT->(real->assn))->(list_VEBT_VEBT->(list_real->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4050>, <kernel.DependentProduct object at 0x10c43f8>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L1528199826722428489_VEBTi:(set_nat->((vEBT_VEBT->(vEBT_VEBTi->assn))->(list_VEBT_VEBT->(list_VEBT_VEBTi->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c44d0>, <kernel.DependentProduct object at 0x10c4098>) of role type named sy_c_VEBT__List__Assn_OlistI__assn_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L3204528365124325536T_VEBT:(set_nat->((vEBT_VEBT->(vEBT_VEBT->assn))->(list_VEBT_VEBT->(list_VEBT_VEBT->assn))))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c43f8>, <kernel.DependentProduct object at 0x10c47e8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001_Eo_001_Eo
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L7363604446928714179sn_o_o:((Prop->(Prop->assn))->(list_o->(list_o->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4098>, <kernel.DependentProduct object at 0x10c4710>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001_Eo_001t__Nat__Onat
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L4785011123346445925_o_nat:((Prop->(nat->assn))->(list_o->(list_nat->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c47e8>, <kernel.DependentProduct object at 0x10c4050>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001_Eo_001t__Real__Oreal
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L4725278957065240257o_real:((Prop->(real->assn))->(list_o->(list_real->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4710>, <kernel.DependentProduct object at 0x10c4998>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Complex__Ocomplex_001t__Complex__Ocomplex
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L4260503343685368993omplex:((complex->(complex->assn))->(list_complex->(list_complex->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4050>, <kernel.DependentProduct object at 0x10c4a28>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Complex__Ocomplex_001t__Int__Oint
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L134985006839036959ex_int:((complex->(int->assn))->(list_complex->(list_int->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4998>, <kernel.DependentProduct object at 0x10c4ab8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Complex__Ocomplex_001t__Nat__Onat
% 0.94/1.13 Using role type
% 0.94/1.13 Declaring vEBT_L137475477348087235ex_nat:((complex->(nat->assn))->(list_complex->(list_nat->assn)))
% 0.94/1.13 FOF formula (<kernel.Constant object at 0x10c4a28>, <kernel.DependentProduct object at 0x10c4b48>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Complex__Ocomplex_001t__Real__Oreal
% 0.94/1.13 Using role type
% 0.94/1.14 Declaring vEBT_L2479436891206192927x_real:((complex->(real->assn))->(list_complex->(list_real->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4ab8>, <kernel.DependentProduct object at 0x10c4bd8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Complex__Ocomplex_001t__VEBT____Definitions__OVEBT
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L8524933119956041985T_VEBT:((complex->(vEBT_VEBT->assn))->(list_complex->(list_VEBT_VEBT->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4b48>, <kernel.DependentProduct object at 0x10c4950>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Int__Oint_001_Eo
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L6066640139021943271_int_o:((int->(Prop->assn))->(list_int->(list_o->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4bd8>, <kernel.DependentProduct object at 0x10c4cf8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Int__Oint_001t__Real__Oreal
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L8288995350762215837t_real:((int->(real->assn))->(list_int->(list_real->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4950>, <kernel.DependentProduct object at 0x10c4a70>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Nat__Onat_001_Eo
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L7887682484454631235_nat_o:((nat->(Prop->assn))->(list_nat->(list_o->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4cf8>, <kernel.DependentProduct object at 0x10c4e18>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Nat__Onat_001t__Real__Oreal
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L6102073776069194049t_real:((nat->(real->assn))->(list_nat->(list_real->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4a70>, <kernel.DependentProduct object at 0x10c49e0>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Real__Oreal_001_Eo
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L6234343332106409831real_o:((real->(Prop->assn))->(list_real->(list_o->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4e18>, <kernel.DependentProduct object at 0x10c4f38>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Real__Oreal_001t__Nat__Onat
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L1446010312343316929al_nat:((real->(nat->assn))->(list_real->(list_nat->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c49e0>, <kernel.DependentProduct object at 0x10c4fc8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Real__Oreal_001t__Real__Oreal
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L1930518968523514909l_real:((real->(real->assn))->(list_real->(list_real->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4f38>, <kernel.DependentProduct object at 0x10c4ab8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Real__Oreal_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L9060850011106065574_VEBTi:((real->(vEBT_VEBTi->assn))->(list_real->(list_VEBT_VEBTi->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4fc8>, <kernel.DependentProduct object at 0x10c6128>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__Real__Oreal_001t__VEBT____Definitions__OVEBT
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L4595930785310033027T_VEBT:((real->(vEBT_VEBT->assn))->(list_real->(list_VEBT_VEBT->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4ab8>, <kernel.DependentProduct object at 0x10c61b8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__Int__Oint
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L8927591528087875366Ti_int:((vEBT_VEBTi->(int->assn))->(list_VEBT_VEBTi->(list_int->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4ab8>, <kernel.DependentProduct object at 0x10c6248>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__Nat__Onat
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L8930081998596925642Ti_nat:((vEBT_VEBTi->(nat->assn))->(list_VEBT_VEBTi->(list_nat->assn)))
% 0.94/1.14 FOF formula (<kernel.Constant object at 0x10c4ab8>, <kernel.DependentProduct object at 0x10c62d8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.14 Using role type
% 0.94/1.14 Declaring vEBT_L1891944875198410415_VEBTi:((vEBT_VEBTi->(vEBT_VEBTi->assn))->(list_VEBT_VEBTi->(list_VEBT_VEBTi->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6128>, <kernel.DependentProduct object at 0x10c6368>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____BuildupMemImp__OVEBTi_001t__VEBT____Definitions__OVEBT
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L7265847600308530106T_VEBT:((vEBT_VEBTi->(vEBT_VEBT->assn))->(list_VEBT_VEBTi->(list_VEBT_VEBT->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c62d8>, <kernel.DependentProduct object at 0x10c6050>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001_Eo
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L7489408758114837031VEBT_o:((vEBT_VEBT->(Prop->assn))->(list_VEBT_VEBT->(list_o->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6368>, <kernel.DependentProduct object at 0x10c6488>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__Complex__Ocomplex
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L2162147798726695391omplex:((vEBT_VEBT->(complex->assn))->(list_VEBT_VEBT->(list_complex->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6050>, <kernel.DependentProduct object at 0x10c6518>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__Int__Oint
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L8294436054247626077BT_int:((vEBT_VEBT->(int->assn))->(list_VEBT_VEBT->(list_int->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6488>, <kernel.DependentProduct object at 0x10c65a8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__Nat__Onat
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L8296926524756676353BT_nat:((vEBT_VEBT->(nat->assn))->(list_VEBT_VEBT->(list_nat->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6518>, <kernel.DependentProduct object at 0x10c6638>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__Option__Ooption_It__Nat__Onat_J
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L8010285020845282001on_nat:((vEBT_VEBT->(option_nat->assn))->(list_VEBT_VEBT->(list_option_nat->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c65a8>, <kernel.DependentProduct object at 0x10c66c8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__Real__Oreal
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L5781919052683127133T_real:((vEBT_VEBT->(real->assn))->(list_VEBT_VEBT->(list_real->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6638>, <kernel.DependentProduct object at 0x10c6758>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__VEBT____BuildupMemImp__OVEBTi
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L6296928887356842470_VEBTi:((vEBT_VEBT->(vEBT_VEBTi->assn))->(list_VEBT_VEBT->(list_VEBT_VEBTi->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c66c8>, <kernel.DependentProduct object at 0x10c67e8>) of role type named sy_c_VEBT__List__Assn_Olist__assn_001t__VEBT____Definitions__OVEBT_001t__VEBT____Definitions__OVEBT
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_L1279224858307276611T_VEBT:((vEBT_VEBT->(vEBT_VEBT->assn))->(list_VEBT_VEBT->(list_VEBT_VEBT->assn)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c4bd8>, <kernel.DependentProduct object at 0x10c6758>) of role type named sy_c_VEBT__Member_OVEBT__internal_Obit__concat
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_VEBT_bit_concat:(nat->(nat->(nat->nat)))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6830>, <kernel.DependentProduct object at 0x10c65a8>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_VEBT_minNull:(vEBT_VEBT->Prop)
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c66c8>, <kernel.DependentProduct object at 0x10c6830>) of role type named sy_c_VEBT__Member_OVEBT__internal_OminNull__rel
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_V6963167321098673237ll_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c62d8>, <kernel.DependentProduct object at 0x10c67a0>) of role type named sy_c_VEBT__Member_OVEBT__internal_Oset__vebt_H
% 0.94/1.15 Using role type
% 0.94/1.15 Declaring vEBT_VEBT_set_vebt:(vEBT_VEBT->set_nat)
% 0.94/1.15 FOF formula (<kernel.Constant object at 0x10c6050>, <kernel.DependentProduct object at 0x10c62d8>) of role type named sy_c_VEBT__Member_Ovebt__member
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_vebt_member:(vEBT_VEBT->(nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c65a8>, <kernel.DependentProduct object at 0x10c6050>) of role type named sy_c_VEBT__Member_Ovebt__member__rel
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_vebt_member_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6830>, <kernel.DependentProduct object at 0x10c67a0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oadd
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_add:(option_nat->(option_nat->option_nat))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c66c8>, <kernel.DependentProduct object at 0x10c65a8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ogreater
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_greater:(option_nat->(option_nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6908>, <kernel.DependentProduct object at 0x10c6830>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Oless
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_less:(option_nat->(option_nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c69e0>, <kernel.DependentProduct object at 0x10c66c8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Olesseq
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_lesseq:(option_nat->(option_nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6050>, <kernel.DependentProduct object at 0x10c6908>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omax__in__set
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_max_in_set:(set_nat->(nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c67a0>, <kernel.DependentProduct object at 0x10c69e0>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omin__in__set
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_min_in_set:(set_nat->(nat->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c65a8>, <kernel.DependentProduct object at 0x10c6050>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Omul
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_mul:(option_nat->(option_nat->option_nat))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c67a0>, <kernel.DependentProduct object at 0x10c6bd8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Nat__Onat
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_V4262088993061758097ft_nat:((nat->(nat->nat))->(option_nat->(option_nat->option_nat)))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6050>, <kernel.DependentProduct object at 0x10c6cf8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Num__Onum
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_V819420779217536731ft_num:((num->(num->num))->(option_num->(option_num->option_num)))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6bd8>, <kernel.DependentProduct object at 0x10c6a28>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Ooption__shift_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_V1502963449132264192at_nat:((product_prod_nat_nat->(product_prod_nat_nat->product_prod_nat_nat))->(option4927543243414619207at_nat->(option4927543243414619207at_nat->option4927543243414619207at_nat)))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6cb0>, <kernel.DependentProduct object at 0x10c6cf8>) of role type named sy_c_VEBT__MinMax_OVEBT__internal_Opower
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_VEBT_power:(option_nat->(option_nat->option_nat))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6758>, <kernel.DependentProduct object at 0x10c66c8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_vebt_maxt:(vEBT_VEBT->option_nat)
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6d88>, <kernel.DependentProduct object at 0x10c6cf8>) of role type named sy_c_VEBT__MinMax_Ovebt__maxt__rel
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_vebt_maxt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6a28>, <kernel.DependentProduct object at 0x10c6e60>) of role type named sy_c_VEBT__MinMax_Ovebt__mint
% 0.94/1.16 Using role type
% 0.94/1.16 Declaring vEBT_vebt_mint:(vEBT_VEBT->option_nat)
% 0.94/1.16 FOF formula (<kernel.Constant object at 0x10c6e18>, <kernel.DependentProduct object at 0x10c6d88>) of role type named sy_c_VEBT__MinMax_Ovebt__mint__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_vebt_mint_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c69e0>, <kernel.DependentProduct object at 0x10c6a28>) of role type named sy_c_VEBT__Pred_Ois__pred__in__set
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_is_pred_in_set:(set_nat->(nat->(nat->Prop)))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6f80>, <kernel.DependentProduct object at 0x10c6bd8>) of role type named sy_c_VEBT__Pred_Ovebt__pred
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_vebt_pred:(vEBT_VEBT->(nat->option_nat))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6ea8>, <kernel.DependentProduct object at 0x10c6e60>) of role type named sy_c_VEBT__Pred_Ovebt__pred__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_vebt_pred_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6e18>, <kernel.DependentProduct object at 0x10c6f80>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_V8646137997579335489_i_l_d:(nat->nat)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6ea8>, <kernel.DependentProduct object at 0x10c9098>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d_092_060_094sub_062u_092_060_094sub_062p
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_V8346862874174094_d_u_p:(nat->nat)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6f80>, <kernel.DependentProduct object at 0x10c90e0>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d_092_060_094sub_062u_092_060_094sub_062p__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_V1247956027447740395_p_rel:(nat->(nat->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6f80>, <kernel.DependentProduct object at 0x10c9128>) of role type named sy_c_VEBT__Space_OVEBT__internal_OT_092_060_094sub_062b_092_060_094sub_062u_092_060_094sub_062i_092_060_094sub_062l_092_060_094sub_062d__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_V5144397997797733112_d_rel:(nat->(nat->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6d88>, <kernel.DependentProduct object at 0x10c9248>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_cnt:(vEBT_VEBT->real)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6f80>, <kernel.DependentProduct object at 0x10c9290>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt_H
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_cnt2:(vEBT_VEBT->nat)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6e18>, <kernel.DependentProduct object at 0x10c9248>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt_H__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_cnt_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c6e18>, <kernel.DependentProduct object at 0x10c9170>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ocnt__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_cnt_rel2:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c9050>, <kernel.DependentProduct object at 0x10c92d8>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_space:(vEBT_VEBT->nat)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c9290>, <kernel.DependentProduct object at 0x10c93b0>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace_H
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_space2:(vEBT_VEBT->nat)
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c9248>, <kernel.DependentProduct object at 0x10c9050>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace_H__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_space_rel:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.98/1.17 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c9290>) of role type named sy_c_VEBT__Space_OVEBT__internal_Ospace__rel
% 0.98/1.17 Using role type
% 0.98/1.17 Declaring vEBT_VEBT_space_rel2:(vEBT_VEBT->(vEBT_VEBT->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9200>, <kernel.DependentProduct object at 0x10c91b8>) of role type named sy_c_VEBT__Succ_Ois__succ__in__set
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring vEBT_is_succ_in_set:(set_nat->(nat->(nat->Prop)))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9518>, <kernel.DependentProduct object at 0x10c9248>) of role type named sy_c_VEBT__Succ_Ovebt__succ
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring vEBT_vebt_succ:(vEBT_VEBT->(nat->option_nat))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9170>, <kernel.DependentProduct object at 0x10c92d8>) of role type named sy_c_VEBT__Succ_Ovebt__succ__rel
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring vEBT_vebt_succ_rel:(produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9488>, <kernel.DependentProduct object at 0x10c91b8>) of role type named sy_c_Wellfounded_Oaccp_001t__Nat__Onat
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_nat:((nat->(nat->Prop))->(nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9248>, <kernel.DependentProduct object at 0x10c93b0>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_P1096762738010456898nt_int:((product_prod_int_int->(product_prod_int_int->Prop))->(product_prod_int_int->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c95a8>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__Nat__Onat_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_P2887432264394892906BT_nat:((produc9072475918466114483BT_nat->(produc9072475918466114483BT_nat->Prop))->(produc9072475918466114483BT_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c93b0>, <kernel.DependentProduct object at 0x10c9488>) of role type named sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__VEBT____Definitions__OVEBT_Mt__VEBT____BuildupMemImp__OVEBTi_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_P7675410724331315407_VEBTi:((produc3625547720036274456_VEBTi->(produc3625547720036274456_VEBTi->Prop))->(produc3625547720036274456_VEBTi->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9680>, <kernel.DependentProduct object at 0x10c91b8>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____BuildupMemImp__OVEBTi
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_VEBT_VEBTi:((vEBT_VEBTi->(vEBT_VEBTi->Prop))->(vEBT_VEBTi->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9488>, <kernel.DependentProduct object at 0x10c95f0>) of role type named sy_c_Wellfounded_Oaccp_001t__VEBT____Definitions__OVEBT
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring accp_VEBT_VEBT:((vEBT_VEBT->(vEBT_VEBT->Prop))->(vEBT_VEBT->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9050>, <kernel.DependentProduct object at 0x10c9830>) of role type named sy_c_fChoice_001t__Real__Oreal
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring fChoice_real:((real->Prop)->real)
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c93b0>, <kernel.DependentProduct object at 0x10c9050>) of role type named sy_c_member_001_Eo
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_o:(Prop->(set_o->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9758>, <kernel.DependentProduct object at 0x10c95f0>) of role type named sy_c_member_001t__Code____Numeral__Ointeger
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_Code_integer:(code_integer->(set_Code_integer->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c9758>) of role type named sy_c_member_001t__Complex__Ocomplex
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_complex:(complex->(set_complex->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c98c0>, <kernel.DependentProduct object at 0x10c93b0>) of role type named sy_c_member_001t__Int__Oint
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_int:(int->(set_int->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9680>, <kernel.DependentProduct object at 0x10c95f0>) of role type named sy_c_member_001t__List__Olist_I_Eo_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_list_o:(list_o->(set_list_o->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9758>, <kernel.DependentProduct object at 0x10c98c0>) of role type named sy_c_member_001t__List__Olist_It__Int__Oint_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_list_int:(list_int->(set_list_int->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9830>, <kernel.DependentProduct object at 0x10c9680>) of role type named sy_c_member_001t__List__Olist_It__Nat__Onat_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_list_nat:(list_nat->(set_list_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c9758>) of role type named sy_c_member_001t__List__Olist_It__Real__Oreal_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_list_real:(list_real->(set_list_real->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c93b0>, <kernel.DependentProduct object at 0x10c9830>) of role type named sy_c_member_001t__Nat__Onat
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_nat:(nat->(set_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c95f0>, <kernel.DependentProduct object at 0x10c91b8>) of role type named sy_c_member_001t__Num__Onum
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_num:(num->(set_num->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c93b0>, <kernel.DependentProduct object at 0x10c9758>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Set__Oset_It__Nat__Onat_J_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member6260224972018164377et_nat:(produc3658429121746597890et_nat->(set_Pr3948176798113811640et_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c9b48>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member5262025264175285858nt_int:(product_prod_int_int->(set_Pr958786334691620121nt_int->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9758>, <kernel.DependentProduct object at 0x10c9bd8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member8440522571783428010at_nat:(product_prod_nat_nat->(set_Pr1261947904930325089at_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9b48>, <kernel.DependentProduct object at 0x10c9c68>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member9148766508732265716at_num:(product_prod_nat_num->(set_Pr6200539531224447659at_num->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9bd8>, <kernel.DependentProduct object at 0x10c9cf8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member7279096912039735102um_num:(product_prod_num_num->(set_Pr8218934625190621173um_num->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9758>, <kernel.DependentProduct object at 0x10c9c68>) of role type named sy_c_member_001t__Rat__Orat
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_rat:(rat->(set_rat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9488>, <kernel.DependentProduct object at 0x10c9758>) of role type named sy_c_member_001t__Real__Oreal
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_real:(real->(set_real->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9e18>, <kernel.DependentProduct object at 0x10c9bd8>) of role type named sy_c_member_001t__Set__Oset_It__Nat__Onat_J
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_set_nat:(set_nat->(set_set_nat->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c91b8>, <kernel.DependentProduct object at 0x10c9c68>) of role type named sy_c_member_001t__VEBT____BuildupMemImp__OVEBTi
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_VEBT_VEBTi:(vEBT_VEBTi->(set_VEBT_VEBTi->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9758>, <kernel.DependentProduct object at 0x10c9e18>) of role type named sy_c_member_001t__VEBT____Definitions__OVEBT
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring member_VEBT_VEBT:(vEBT_VEBT->(set_VEBT_VEBT->Prop))
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c93b0>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_ma____
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring ma:nat
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9c68>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_mi____
% 0.98/1.18 Using role type
% 0.98/1.18 Declaring mi:nat
% 0.98/1.18 FOF formula (<kernel.Constant object at 0x10c9488>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_summary____
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring summary:vEBT_VEBT
% 0.98/1.19 FOF formula (<kernel.Constant object at 0x10c9f38>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_tia____
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring tia:vEBT_VEBTi
% 0.98/1.19 FOF formula (<kernel.Constant object at 0x10c9ea8>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_treeList____
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring treeList:list_VEBT_VEBT
% 0.98/1.19 FOF formula (<kernel.Constant object at 0x10c9f80>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_tree__is__103_058ATP
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring tree_is_103_ATP:list_VEBT_VEBTi
% 0.98/1.19 FOF formula (<kernel.Constant object at 0x10c9fc8>, <kernel.Constant object at 0x10c9e18>) of role type named sy_v_tree__is______
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring tree_is:list_VEBT_VEBTi
% 0.98/1.19 FOF formula (<kernel.Constant object at 0x10c9ea8>, <kernel.Constant object at 0x10c9bd8>) of role type named sy_v_va____
% 0.98/1.19 Using role type
% 0.98/1.19 Declaring va:nat
% 0.98/1.20 FOF formula (<kernel.Constant object at 0x10c9f80>, <kernel.Constant object at 0x10cd050>) of role type named sy_v_x13______
% 0.98/1.20 Using role type
% 0.98/1.20 Declaring x13:array_VEBT_VEBTi
% 0.98/1.20 FOF formula (<kernel.Constant object at 0x10c9ea8>, <kernel.Constant object at 0x10cd0e0>) of role type named sy_v_x14______
% 0.98/1.20 Using role type
% 0.98/1.20 Declaring x14:vEBT_VEBTi
% 0.98/1.20 FOF formula (<kernel.Constant object at 0x10c9f80>, <kernel.Constant object at 0x10cd0e0>) of role type named sy_v_xa____
% 0.98/1.20 Using role type
% 0.98/1.20 Declaring xa:nat
% 0.98/1.20 FOF formula (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:array_VEBT_VEBTi) (X14:vEBT_VEBTi) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:array_VEBT_VEBTi) (Y14:vEBT_VEBTi), (((eq Prop) (((eq vEBT_VEBTi) ((((vEBT_Nodei X11) X12) X13) X14)) ((((vEBT_Nodei Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq array_VEBT_VEBTi) X13) Y13))) (((eq vEBT_VEBTi) X14) Y14)))) of role axiom named fact_0_VEBTi_Oinject_I1_J
% 0.98/1.20 A new axiom: (forall (X11:option4927543243414619207at_nat) (X12:nat) (X13:array_VEBT_VEBTi) (X14:vEBT_VEBTi) (Y11:option4927543243414619207at_nat) (Y12:nat) (Y13:array_VEBT_VEBTi) (Y14:vEBT_VEBTi), (((eq Prop) (((eq vEBT_VEBTi) ((((vEBT_Nodei X11) X12) X13) X14)) ((((vEBT_Nodei Y11) Y12) Y13) Y14))) ((and ((and ((and (((eq option4927543243414619207at_nat) X11) Y11)) (((eq nat) X12) Y12))) (((eq array_VEBT_VEBTi) X13) Y13))) (((eq vEBT_VEBTi) X14) Y14))))
% 0.98/1.20 FOF formula (forall (TreeList:list_VEBT_VEBT) (Tree_is:list_VEBT_VEBTi) (X13:array_VEBT_VEBTi) (Summary:vEBT_VEBT) (X14:vEBT_VEBTi), ((entails ((times_times_assn (((vEBT_L6296928887356842470_VEBTi vEBT_vebt_assn_raw) TreeList) Tree_is)) ((times_times_assn ((snga_assn_VEBT_VEBTi X13) Tree_is)) ((vEBT_vebt_assn_raw Summary) X14)))) ((times_times_assn ((times_times_assn ((vEBT_vebt_assn_raw Summary) X14)) ((snga_assn_VEBT_VEBTi X13) Tree_is))) (((vEBT_L6296928887356842470_VEBTi vEBT_vebt_assn_raw) TreeList) Tree_is)))) of role axiom named fact_1_assnle
% 0.98/1.20 A new axiom: (forall (TreeList:list_VEBT_VEBT) (Tree_is:list_VEBT_VEBTi) (X13:array_VEBT_VEBTi) (Summary:vEBT_VEBT) (X14:vEBT_VEBTi), ((entails ((times_times_assn (((vEBT_L6296928887356842470_VEBTi vEBT_vebt_assn_raw) TreeList) Tree_is)) ((times_times_assn ((snga_assn_VEBT_VEBTi X13) Tree_is)) ((vEBT_vebt_assn_raw Summary) X14)))) ((times_times_assn ((times_times_assn ((vEBT_vebt_assn_raw Summary) X14)) ((snga_assn_VEBT_VEBTi X13) Tree_is))) (((vEBT_L6296928887356842470_VEBTi vEBT_vebt_assn_raw) TreeList) Tree_is))))
% 0.98/1.20 FOF formula (forall (A:code_integer), (((eq Prop) ((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one))))) (not (((eq code_integer) A) zero_z3403309356797280102nteger)))) of role axiom named fact_2_zero__less__power2
% 0.98/1.20 A new axiom: (forall (A:code_integer), (((eq Prop) ((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one))))) (not (((eq code_integer) A) zero_z3403309356797280102nteger))))
% 0.98/1.21 FOF formula (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one))))) (not (((eq real) A) zero_zero_real)))) of role axiom named fact_3_zero__less__power2
% 0.98/1.21 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((power_power_real A) (numeral_numeral_nat (bit0 one))))) (not (((eq real) A) zero_zero_real))))
% 0.98/1.21 FOF formula (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one))))) (not (((eq rat) A) zero_zero_rat)))) of role axiom named fact_4_zero__less__power2
% 0.98/1.21 A new axiom: (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one))))) (not (((eq rat) A) zero_zero_rat))))
% 0.98/1.21 FOF formula (forall (A:int), (((eq Prop) ((ord_less_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one))))) (not (((eq int) A) zero_zero_int)))) of role axiom named fact_5_zero__less__power2
% 0.98/1.21 A new axiom: (forall (A:int), (((eq Prop) ((ord_less_int zero_zero_int) ((power_power_int A) (numeral_numeral_nat (bit0 one))))) (not (((eq int) A) zero_zero_int))))
% 0.98/1.21 FOF formula (forall (M:nat), (((eq nat) ((divide_divide_nat (suc (suc M))) (numeral_numeral_nat (bit0 one)))) (suc ((divide_divide_nat M) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_6_div2__Suc__Suc
% 0.98/1.21 A new axiom: (forall (M:nat), (((eq nat) ((divide_divide_nat (suc (suc M))) (numeral_numeral_nat (bit0 one)))) (suc ((divide_divide_nat M) (numeral_numeral_nat (bit0 one))))))
% 0.98/1.21 FOF formula (forall (A:rat), (((eq Prop) (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat))) of role axiom named fact_7_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:rat), (((eq Prop) (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)) (((eq rat) A) zero_zero_rat)))
% 0.98/1.21 FOF formula (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat))) of role axiom named fact_8_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:nat), (((eq Prop) (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)) (((eq nat) A) zero_zero_nat)))
% 0.98/1.21 FOF formula (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real))) of role axiom named fact_9_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:real), (((eq Prop) (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)) (((eq real) A) zero_zero_real)))
% 0.98/1.21 FOF formula (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int))) of role axiom named fact_10_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:int), (((eq Prop) (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)) (((eq int) A) zero_zero_int)))
% 0.98/1.21 FOF formula (forall (A:complex), (((eq Prop) (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)) (((eq complex) A) zero_zero_complex))) of role axiom named fact_11_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:complex), (((eq Prop) (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)) (((eq complex) A) zero_zero_complex)))
% 0.98/1.21 FOF formula (forall (A:code_integer), (((eq Prop) (((eq code_integer) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger)) (((eq code_integer) A) zero_z3403309356797280102nteger))) of role axiom named fact_12_zero__eq__power2
% 0.98/1.21 A new axiom: (forall (A:code_integer), (((eq Prop) (((eq code_integer) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger)) (((eq code_integer) A) zero_z3403309356797280102nteger)))
% 0.98/1.21 FOF formula (forall (N:nat) (M:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((divide_divide_nat ((times_times_nat M) N)) N)) M))) of role axiom named fact_13_div__mult__self__is__m
% 0.98/1.23 A new axiom: (forall (N:nat) (M:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((divide_divide_nat ((times_times_nat M) N)) N)) M)))
% 0.98/1.23 FOF formula (forall (N:nat) (M:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((divide_divide_nat ((times_times_nat N) M)) N)) M))) of role axiom named fact_14_div__mult__self1__is__m
% 0.98/1.23 A new axiom: (forall (N:nat) (M:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((divide_divide_nat ((times_times_nat N) M)) N)) M)))
% 0.98/1.23 FOF formula (forall (A:rat) (N:nat), (((eq Prop) (((eq rat) ((power_power_rat A) N)) zero_zero_rat)) ((and (((eq rat) A) zero_zero_rat)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_15_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:rat) (N:nat), (((eq Prop) (((eq rat) ((power_power_rat A) N)) zero_zero_rat)) ((and (((eq rat) A) zero_zero_rat)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (A:nat) (N:nat), (((eq Prop) (((eq nat) ((power_power_nat A) N)) zero_zero_nat)) ((and (((eq nat) A) zero_zero_nat)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_16_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:nat) (N:nat), (((eq Prop) (((eq nat) ((power_power_nat A) N)) zero_zero_nat)) ((and (((eq nat) A) zero_zero_nat)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (A:real) (N:nat), (((eq Prop) (((eq real) ((power_power_real A) N)) zero_zero_real)) ((and (((eq real) A) zero_zero_real)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_17_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:real) (N:nat), (((eq Prop) (((eq real) ((power_power_real A) N)) zero_zero_real)) ((and (((eq real) A) zero_zero_real)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (A:int) (N:nat), (((eq Prop) (((eq int) ((power_power_int A) N)) zero_zero_int)) ((and (((eq int) A) zero_zero_int)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_18_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:int) (N:nat), (((eq Prop) (((eq int) ((power_power_int A) N)) zero_zero_int)) ((and (((eq int) A) zero_zero_int)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (A:complex) (N:nat), (((eq Prop) (((eq complex) ((power_power_complex A) N)) zero_zero_complex)) ((and (((eq complex) A) zero_zero_complex)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_19_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:complex) (N:nat), (((eq Prop) (((eq complex) ((power_power_complex A) N)) zero_zero_complex)) ((and (((eq complex) A) zero_zero_complex)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (A:code_integer) (N:nat), (((eq Prop) (((eq code_integer) ((power_8256067586552552935nteger A) N)) zero_z3403309356797280102nteger)) ((and (((eq code_integer) A) zero_z3403309356797280102nteger)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_20_power__eq__0__iff
% 0.98/1.23 A new axiom: (forall (A:code_integer) (N:nat), (((eq Prop) (((eq code_integer) ((power_8256067586552552935nteger A) N)) zero_z3403309356797280102nteger)) ((and (((eq code_integer) A) zero_z3403309356797280102nteger)) ((ord_less_nat zero_zero_nat) N))))
% 0.98/1.23 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_real B) ((times_times_real A) (numeral_numeral_real W))))) of role axiom named fact_21_divide__less__eq__numeral1_I1_J
% 0.98/1.23 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) ((ord_less_real ((divide_divide_real B) (numeral_numeral_real W))) A)) ((ord_less_real B) ((times_times_real A) (numeral_numeral_real W)))))
% 0.98/1.23 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_rat B) ((times_times_rat A) (numeral_numeral_rat W))))) of role axiom named fact_22_divide__less__eq__numeral1_I1_J
% 0.98/1.23 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((ord_less_rat B) ((times_times_rat A) (numeral_numeral_rat W)))))
% 0.98/1.23 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_real ((times_times_real A) (numeral_numeral_real W))) B))) of role axiom named fact_23_less__divide__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) ((ord_less_real A) ((divide_divide_real B) (numeral_numeral_real W)))) ((ord_less_real ((times_times_real A) (numeral_numeral_real W))) B)))
% 1.06/1.25 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_rat ((times_times_rat A) (numeral_numeral_rat W))) B))) of role axiom named fact_24_less__divide__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) ((ord_less_rat A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((ord_less_rat ((times_times_rat A) (numeral_numeral_rat W))) B)))
% 1.06/1.25 FOF formula (forall (B:complex) (W:num) (A:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex B) (numera6690914467698888265omplex W))) A)) ((and ((not (((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))->(((eq complex) B) ((times_times_complex A) (numera6690914467698888265omplex W))))) ((((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)->(((eq complex) A) zero_zero_complex))))) of role axiom named fact_25_divide__eq__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (B:complex) (W:num) (A:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex B) (numera6690914467698888265omplex W))) A)) ((and ((not (((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))->(((eq complex) B) ((times_times_complex A) (numera6690914467698888265omplex W))))) ((((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)->(((eq complex) A) zero_zero_complex)))))
% 1.06/1.25 FOF formula (forall (B:real) (W:num) (A:real), (((eq Prop) (((eq real) ((divide_divide_real B) (numeral_numeral_real W))) A)) ((and ((not (((eq real) (numeral_numeral_real W)) zero_zero_real))->(((eq real) B) ((times_times_real A) (numeral_numeral_real W))))) ((((eq real) (numeral_numeral_real W)) zero_zero_real)->(((eq real) A) zero_zero_real))))) of role axiom named fact_26_divide__eq__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (B:real) (W:num) (A:real), (((eq Prop) (((eq real) ((divide_divide_real B) (numeral_numeral_real W))) A)) ((and ((not (((eq real) (numeral_numeral_real W)) zero_zero_real))->(((eq real) B) ((times_times_real A) (numeral_numeral_real W))))) ((((eq real) (numeral_numeral_real W)) zero_zero_real)->(((eq real) A) zero_zero_real)))))
% 1.06/1.25 FOF formula (forall (B:rat) (W:num) (A:rat), (((eq Prop) (((eq rat) ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((and ((not (((eq rat) (numeral_numeral_rat W)) zero_zero_rat))->(((eq rat) B) ((times_times_rat A) (numeral_numeral_rat W))))) ((((eq rat) (numeral_numeral_rat W)) zero_zero_rat)->(((eq rat) A) zero_zero_rat))))) of role axiom named fact_27_divide__eq__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (B:rat) (W:num) (A:rat), (((eq Prop) (((eq rat) ((divide_divide_rat B) (numeral_numeral_rat W))) A)) ((and ((not (((eq rat) (numeral_numeral_rat W)) zero_zero_rat))->(((eq rat) B) ((times_times_rat A) (numeral_numeral_rat W))))) ((((eq rat) (numeral_numeral_rat W)) zero_zero_rat)->(((eq rat) A) zero_zero_rat)))))
% 1.06/1.25 FOF formula (forall (A:complex) (B:complex) (W:num), (((eq Prop) (((eq complex) A) ((divide1717551699836669952omplex B) (numera6690914467698888265omplex W)))) ((and ((not (((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))->(((eq complex) ((times_times_complex A) (numera6690914467698888265omplex W))) B))) ((((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)->(((eq complex) A) zero_zero_complex))))) of role axiom named fact_28_eq__divide__eq__numeral1_I1_J
% 1.06/1.25 A new axiom: (forall (A:complex) (B:complex) (W:num), (((eq Prop) (((eq complex) A) ((divide1717551699836669952omplex B) (numera6690914467698888265omplex W)))) ((and ((not (((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))->(((eq complex) ((times_times_complex A) (numera6690914467698888265omplex W))) B))) ((((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)->(((eq complex) A) zero_zero_complex)))))
% 1.06/1.27 FOF formula (forall (A:real) (B:real) (W:num), (((eq Prop) (((eq real) A) ((divide_divide_real B) (numeral_numeral_real W)))) ((and ((not (((eq real) (numeral_numeral_real W)) zero_zero_real))->(((eq real) ((times_times_real A) (numeral_numeral_real W))) B))) ((((eq real) (numeral_numeral_real W)) zero_zero_real)->(((eq real) A) zero_zero_real))))) of role axiom named fact_29_eq__divide__eq__numeral1_I1_J
% 1.06/1.27 A new axiom: (forall (A:real) (B:real) (W:num), (((eq Prop) (((eq real) A) ((divide_divide_real B) (numeral_numeral_real W)))) ((and ((not (((eq real) (numeral_numeral_real W)) zero_zero_real))->(((eq real) ((times_times_real A) (numeral_numeral_real W))) B))) ((((eq real) (numeral_numeral_real W)) zero_zero_real)->(((eq real) A) zero_zero_real)))))
% 1.06/1.27 FOF formula (forall (A:rat) (B:rat) (W:num), (((eq Prop) (((eq rat) A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((and ((not (((eq rat) (numeral_numeral_rat W)) zero_zero_rat))->(((eq rat) ((times_times_rat A) (numeral_numeral_rat W))) B))) ((((eq rat) (numeral_numeral_rat W)) zero_zero_rat)->(((eq rat) A) zero_zero_rat))))) of role axiom named fact_30_eq__divide__eq__numeral1_I1_J
% 1.06/1.27 A new axiom: (forall (A:rat) (B:rat) (W:num), (((eq Prop) (((eq rat) A) ((divide_divide_rat B) (numeral_numeral_rat W)))) ((and ((not (((eq rat) (numeral_numeral_rat W)) zero_zero_rat))->(((eq rat) ((times_times_rat A) (numeral_numeral_rat W))) B))) ((((eq rat) (numeral_numeral_rat W)) zero_zero_rat)->(((eq rat) A) zero_zero_rat)))))
% 1.06/1.27 FOF formula (forall (A:real) (N:nat), (((ord_less_real A) zero_zero_real)->((ord_less_real ((power_power_real A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_real))) of role axiom named fact_31_odd__power__less__zero
% 1.06/1.27 A new axiom: (forall (A:real) (N:nat), (((ord_less_real A) zero_zero_real)->((ord_less_real ((power_power_real A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_real)))
% 1.06/1.27 FOF formula (forall (A:rat) (N:nat), (((ord_less_rat A) zero_zero_rat)->((ord_less_rat ((power_power_rat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_rat))) of role axiom named fact_32_odd__power__less__zero
% 1.06/1.27 A new axiom: (forall (A:rat) (N:nat), (((ord_less_rat A) zero_zero_rat)->((ord_less_rat ((power_power_rat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_rat)))
% 1.06/1.27 FOF formula (forall (A:int) (N:nat), (((ord_less_int A) zero_zero_int)->((ord_less_int ((power_power_int A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_int))) of role axiom named fact_33_odd__power__less__zero
% 1.06/1.27 A new axiom: (forall (A:int) (N:nat), (((ord_less_int A) zero_zero_int)->((ord_less_int ((power_power_int A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_zero_int)))
% 1.06/1.27 FOF formula (forall (A:code_integer) (N:nat), (((ord_le6747313008572928689nteger A) zero_z3403309356797280102nteger)->((ord_le6747313008572928689nteger ((power_8256067586552552935nteger A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_z3403309356797280102nteger))) of role axiom named fact_34_odd__power__less__zero
% 1.06/1.27 A new axiom: (forall (A:code_integer) (N:nat), (((ord_le6747313008572928689nteger A) zero_z3403309356797280102nteger)->((ord_le6747313008572928689nteger ((power_8256067586552552935nteger A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) zero_z3403309356797280102nteger)))
% 1.06/1.27 FOF formula (forall (K:nat) (M:nat) (N:nat), ((and ((((eq nat) K) zero_zero_nat)->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) zero_zero_nat))) ((not (((eq nat) K) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((divide_divide_nat M) N))))) of role axiom named fact_35_nat__mult__div__cancel__disj
% 1.06/1.27 A new axiom: (forall (K:nat) (M:nat) (N:nat), ((and ((((eq nat) K) zero_zero_nat)->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) zero_zero_nat))) ((not (((eq nat) K) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((divide_divide_nat M) N)))))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N))) of role axiom named fact_36_numeral__eq__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq complex) (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N))) of role axiom named fact_37_numeral__eq__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq real) (numeral_numeral_real M)) (numeral_numeral_real N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N))) of role axiom named fact_38_numeral__eq__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq rat) (numeral_numeral_rat M)) (numeral_numeral_rat N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N))) of role axiom named fact_39_numeral__eq__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq nat) (numeral_numeral_nat M)) (numeral_numeral_nat N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N))) of role axiom named fact_40_numeral__eq__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq int) (numeral_numeral_int M)) (numeral_numeral_int N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N))) of role axiom named fact_41_semiring__norm_I78_J
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_num (bit0 M)) (bit0 N))) ((ord_less_num M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq num) ((times_times_num (bit0 M)) (bit0 N))) (bit0 (bit0 ((times_times_num M) N))))) of role axiom named fact_42_semiring__norm_I13_J
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq num) ((times_times_num (bit0 M)) (bit0 N))) (bit0 (bit0 ((times_times_num M) N)))))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N))) of role axiom named fact_43_semiring__norm_I87_J
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) (((eq num) (bit0 M)) (bit0 N))) (((eq num) M) N)))
% 1.09/1.29 FOF formula (forall (M:num), (((ord_less_num M) one)->False)) of role axiom named fact_44_semiring__norm_I75_J
% 1.09/1.29 A new axiom: (forall (M:num), (((ord_less_num M) one)->False))
% 1.09/1.29 FOF formula (forall (M:num), (((eq num) ((times_times_num M) one)) M)) of role axiom named fact_45_semiring__norm_I11_J
% 1.09/1.29 A new axiom: (forall (M:num), (((eq num) ((times_times_num M) one)) M))
% 1.09/1.29 FOF formula (forall (N:num), (((eq num) ((times_times_num one) N)) N)) of role axiom named fact_46_semiring__norm_I12_J
% 1.09/1.29 A new axiom: (forall (N:num), (((eq num) ((times_times_num one) N)) N))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_le6747313008572928689nteger (numera6620942414471956472nteger M)) (numera6620942414471956472nteger N))) ((ord_less_num M) N))) of role axiom named fact_47_numeral__less__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_le6747313008572928689nteger (numera6620942414471956472nteger M)) (numera6620942414471956472nteger N))) ((ord_less_num M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N))) of role axiom named fact_48_numeral__less__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_real (numeral_numeral_real M)) (numeral_numeral_real N))) ((ord_less_num M) N)))
% 1.09/1.29 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N))) of role axiom named fact_49_numeral__less__iff
% 1.09/1.29 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) ((ord_less_num M) N)))
% 1.09/1.31 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N))) of role axiom named fact_50_numeral__less__iff
% 1.09/1.31 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) ((ord_less_num M) N)))
% 1.09/1.31 FOF formula (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N))) of role axiom named fact_51_numeral__less__iff
% 1.09/1.31 A new axiom: (forall (M:num) (N:num), (((eq Prop) ((ord_less_int (numeral_numeral_int M)) (numeral_numeral_int N))) ((ord_less_num M) N)))
% 1.09/1.31 FOF formula (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z))) of role axiom named fact_52_mult__numeral__left__semiring__numeral
% 1.09/1.31 A new axiom: (forall (V:num) (W:num) (Z:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex V)) ((times_times_complex (numera6690914467698888265omplex W)) Z))) ((times_times_complex (numera6690914467698888265omplex ((times_times_num V) W))) Z)))
% 1.09/1.31 FOF formula (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z))) of role axiom named fact_53_mult__numeral__left__semiring__numeral
% 1.09/1.31 A new axiom: (forall (V:num) (W:num) (Z:real), (((eq real) ((times_times_real (numeral_numeral_real V)) ((times_times_real (numeral_numeral_real W)) Z))) ((times_times_real (numeral_numeral_real ((times_times_num V) W))) Z)))
% 1.09/1.31 FOF formula (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z))) of role axiom named fact_54_mult__numeral__left__semiring__numeral
% 1.09/1.31 A new axiom: (forall (V:num) (W:num) (Z:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat V)) ((times_times_rat (numeral_numeral_rat W)) Z))) ((times_times_rat (numeral_numeral_rat ((times_times_num V) W))) Z)))
% 1.09/1.31 FOF formula (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z))) of role axiom named fact_55_mult__numeral__left__semiring__numeral
% 1.09/1.31 A new axiom: (forall (V:num) (W:num) (Z:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat V)) ((times_times_nat (numeral_numeral_nat W)) Z))) ((times_times_nat (numeral_numeral_nat ((times_times_num V) W))) Z)))
% 1.09/1.31 FOF formula (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z))) of role axiom named fact_56_mult__numeral__left__semiring__numeral
% 1.09/1.31 A new axiom: (forall (V:num) (W:num) (Z:int), (((eq int) ((times_times_int (numeral_numeral_int V)) ((times_times_int (numeral_numeral_int W)) Z))) ((times_times_int (numeral_numeral_int ((times_times_num V) W))) Z)))
% 1.09/1.31 FOF formula (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N)))) of role axiom named fact_57_numeral__times__numeral
% 1.09/1.31 A new axiom: (forall (M:num) (N:num), (((eq complex) ((times_times_complex (numera6690914467698888265omplex M)) (numera6690914467698888265omplex N))) (numera6690914467698888265omplex ((times_times_num M) N))))
% 1.09/1.31 FOF formula (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N)))) of role axiom named fact_58_numeral__times__numeral
% 1.09/1.31 A new axiom: (forall (M:num) (N:num), (((eq real) ((times_times_real (numeral_numeral_real M)) (numeral_numeral_real N))) (numeral_numeral_real ((times_times_num M) N))))
% 1.09/1.33 FOF formula (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N)))) of role axiom named fact_59_numeral__times__numeral
% 1.09/1.33 A new axiom: (forall (M:num) (N:num), (((eq rat) ((times_times_rat (numeral_numeral_rat M)) (numeral_numeral_rat N))) (numeral_numeral_rat ((times_times_num M) N))))
% 1.09/1.33 FOF formula (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N)))) of role axiom named fact_60_numeral__times__numeral
% 1.09/1.33 A new axiom: (forall (M:num) (N:num), (((eq nat) ((times_times_nat (numeral_numeral_nat M)) (numeral_numeral_nat N))) (numeral_numeral_nat ((times_times_num M) N))))
% 1.09/1.33 FOF formula (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N)))) of role axiom named fact_61_numeral__times__numeral
% 1.09/1.33 A new axiom: (forall (M:num) (N:num), (((eq int) ((times_times_int (numeral_numeral_int M)) (numeral_numeral_int N))) (numeral_numeral_int ((times_times_num M) N))))
% 1.09/1.33 FOF formula (forall (N:num), ((ord_less_num one) (bit0 N))) of role axiom named fact_62_semiring__norm_I76_J
% 1.09/1.33 A new axiom: (forall (N:num), ((ord_less_num one) (bit0 N)))
% 1.09/1.33 FOF formula (forall (N:num), (((eq num) ((times_times_num (bit0 one)) N)) (bit0 N))) of role axiom named fact_63_num__double
% 1.09/1.33 A new axiom: (forall (N:num), (((eq num) ((times_times_num (bit0 one)) N)) (bit0 N)))
% 1.09/1.33 FOF formula (forall (N:num), (not (((eq num) one) (bit0 N)))) of role axiom named fact_64_semiring__norm_I83_J
% 1.09/1.33 A new axiom: (forall (N:num), (not (((eq num) one) (bit0 N))))
% 1.09/1.33 FOF formula (forall (M:num), (not (((eq num) (bit0 M)) one))) of role axiom named fact_65_semiring__norm_I85_J
% 1.09/1.33 A new axiom: (forall (M:num), (not (((eq num) (bit0 M)) one)))
% 1.09/1.33 FOF formula (forall (A:nat) (M:num) (N:num), (((eq nat) ((power_power_nat ((power_power_nat A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_nat A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_66_power__mult__numeral
% 1.09/1.33 A new axiom: (forall (A:nat) (M:num) (N:num), (((eq nat) ((power_power_nat ((power_power_nat A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_nat A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.09/1.33 FOF formula (forall (A:real) (M:num) (N:num), (((eq real) ((power_power_real ((power_power_real A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_real A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_67_power__mult__numeral
% 1.09/1.33 A new axiom: (forall (A:real) (M:num) (N:num), (((eq real) ((power_power_real ((power_power_real A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_real A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.09/1.33 FOF formula (forall (A:int) (M:num) (N:num), (((eq int) ((power_power_int ((power_power_int A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_int A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_68_power__mult__numeral
% 1.09/1.33 A new axiom: (forall (A:int) (M:num) (N:num), (((eq int) ((power_power_int ((power_power_int A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_int A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.09/1.33 FOF formula (forall (A:complex) (M:num) (N:num), (((eq complex) ((power_power_complex ((power_power_complex A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_complex A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_69_power__mult__numeral
% 1.09/1.33 A new axiom: (forall (A:complex) (M:num) (N:num), (((eq complex) ((power_power_complex ((power_power_complex A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_complex A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.09/1.33 FOF formula (forall (A:code_integer) (M:num) (N:num), (((eq code_integer) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_8256067586552552935nteger A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_70_power__mult__numeral
% 1.15/1.34 A new axiom: (forall (A:code_integer) (M:num) (N:num), (((eq code_integer) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_8256067586552552935nteger A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.15/1.34 FOF formula (forall (A:rat) (M:num) (N:num), (((eq rat) ((power_power_rat ((power_power_rat A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_rat A) (numeral_numeral_nat ((times_times_num M) N))))) of role axiom named fact_71_power__mult__numeral
% 1.15/1.34 A new axiom: (forall (A:rat) (M:num) (N:num), (((eq rat) ((power_power_rat ((power_power_rat A) (numeral_numeral_nat M))) (numeral_numeral_nat N))) ((power_power_rat A) (numeral_numeral_nat ((times_times_num M) N)))))
% 1.15/1.34 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), ((and ((((eq code_integer) C) zero_z3403309356797280102nteger)->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) zero_z3403309356797280102nteger))) ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((divide6298287555418463151nteger A) B))))) of role axiom named fact_72_div__mult__mult1__if
% 1.15/1.34 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), ((and ((((eq code_integer) C) zero_z3403309356797280102nteger)->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) zero_z3403309356797280102nteger))) ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((divide6298287555418463151nteger A) B)))))
% 1.15/1.34 FOF formula (forall (C:nat) (A:nat) (B:nat), ((and ((((eq nat) C) zero_zero_nat)->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) zero_zero_nat))) ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) ((divide_divide_nat A) B))))) of role axiom named fact_73_div__mult__mult1__if
% 1.15/1.34 A new axiom: (forall (C:nat) (A:nat) (B:nat), ((and ((((eq nat) C) zero_zero_nat)->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) zero_zero_nat))) ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) ((divide_divide_nat A) B)))))
% 1.15/1.34 FOF formula (forall (C:int) (A:int) (B:int), ((and ((((eq int) C) zero_zero_int)->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) zero_zero_int))) ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) ((divide_divide_int A) B))))) of role axiom named fact_74_div__mult__mult1__if
% 1.15/1.34 A new axiom: (forall (C:int) (A:int) (B:int), ((and ((((eq int) C) zero_zero_int)->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) zero_zero_int))) ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) ((divide_divide_int A) B)))))
% 1.15/1.34 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) ((divide6298287555418463151nteger A) B)))) of role axiom named fact_75_div__mult__mult2
% 1.15/1.34 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) ((divide6298287555418463151nteger A) B))))
% 1.17/1.36 FOF formula (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) C)) ((times_times_nat B) C))) ((divide_divide_nat A) B)))) of role axiom named fact_76_div__mult__mult2
% 1.17/1.36 A new axiom: (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) C)) ((times_times_nat B) C))) ((divide_divide_nat A) B))))
% 1.17/1.36 FOF formula (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) C)) ((times_times_int B) C))) ((divide_divide_int A) B)))) of role axiom named fact_77_div__mult__mult2
% 1.17/1.36 A new axiom: (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) C)) ((times_times_int B) C))) ((divide_divide_int A) B))))
% 1.17/1.36 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((divide6298287555418463151nteger A) B)))) of role axiom named fact_78_div__mult__mult1
% 1.17/1.36 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((divide6298287555418463151nteger A) B))))
% 1.17/1.36 FOF formula (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) ((divide_divide_nat A) B)))) of role axiom named fact_79_div__mult__mult1
% 1.17/1.36 A new axiom: (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat C) A)) ((times_times_nat C) B))) ((divide_divide_nat A) B))))
% 1.17/1.36 FOF formula (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) ((divide_divide_int A) B)))) of role axiom named fact_80_div__mult__mult1
% 1.17/1.36 A new axiom: (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int C) A)) ((times_times_int C) B))) ((divide_divide_int A) B))))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq nat) ((power_power_nat zero_zero_nat) (suc N))) zero_zero_nat)) of role axiom named fact_81_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq nat) ((power_power_nat zero_zero_nat) (suc N))) zero_zero_nat))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq real) ((power_power_real zero_zero_real) (suc N))) zero_zero_real)) of role axiom named fact_82_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq real) ((power_power_real zero_zero_real) (suc N))) zero_zero_real))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq int) ((power_power_int zero_zero_int) (suc N))) zero_zero_int)) of role axiom named fact_83_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq int) ((power_power_int zero_zero_int) (suc N))) zero_zero_int))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq complex) ((power_power_complex zero_zero_complex) (suc N))) zero_zero_complex)) of role axiom named fact_84_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq complex) ((power_power_complex zero_zero_complex) (suc N))) zero_zero_complex))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (suc N))) zero_z3403309356797280102nteger)) of role axiom named fact_85_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (suc N))) zero_z3403309356797280102nteger))
% 1.17/1.36 FOF formula (forall (N:nat), (((eq rat) ((power_power_rat zero_zero_rat) (suc N))) zero_zero_rat)) of role axiom named fact_86_power__0__Suc
% 1.17/1.36 A new axiom: (forall (N:nat), (((eq rat) ((power_power_rat zero_zero_rat) (suc N))) zero_zero_rat))
% 1.17/1.38 FOF formula (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat)) of role axiom named fact_87_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat K))) zero_zero_nat))
% 1.17/1.38 FOF formula (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real)) of role axiom named fact_88_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat K))) zero_zero_real))
% 1.17/1.38 FOF formula (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int)) of role axiom named fact_89_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat K))) zero_zero_int))
% 1.17/1.38 FOF formula (forall (K:num), (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat K))) zero_zero_complex)) of role axiom named fact_90_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat K))) zero_zero_complex))
% 1.17/1.38 FOF formula (forall (K:num), (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (numeral_numeral_nat K))) zero_z3403309356797280102nteger)) of role axiom named fact_91_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (numeral_numeral_nat K))) zero_z3403309356797280102nteger))
% 1.17/1.38 FOF formula (forall (K:num), (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat K))) zero_zero_rat)) of role axiom named fact_92_power__zero__numeral
% 1.17/1.38 A new axiom: (forall (K:num), (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat K))) zero_zero_rat))
% 1.17/1.38 FOF formula (forall (A:nat), (((eq nat) ((power_power_nat A) (suc zero_zero_nat))) A)) of role axiom named fact_93_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:nat), (((eq nat) ((power_power_nat A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (A:real), (((eq real) ((power_power_real A) (suc zero_zero_nat))) A)) of role axiom named fact_94_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:real), (((eq real) ((power_power_real A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (A:int), (((eq int) ((power_power_int A) (suc zero_zero_nat))) A)) of role axiom named fact_95_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:int), (((eq int) ((power_power_int A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (A:complex), (((eq complex) ((power_power_complex A) (suc zero_zero_nat))) A)) of role axiom named fact_96_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:complex), (((eq complex) ((power_power_complex A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (A:code_integer), (((eq code_integer) ((power_8256067586552552935nteger A) (suc zero_zero_nat))) A)) of role axiom named fact_97_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:code_integer), (((eq code_integer) ((power_8256067586552552935nteger A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (A:rat), (((eq rat) ((power_power_rat A) (suc zero_zero_nat))) A)) of role axiom named fact_98_power__Suc0__right
% 1.17/1.38 A new axiom: (forall (A:rat), (((eq rat) ((power_power_rat A) (suc zero_zero_nat))) A))
% 1.17/1.38 FOF formula (forall (M:nat), (((eq nat) ((divide_divide_nat M) (suc zero_zero_nat))) M)) of role axiom named fact_99_div__by__Suc__0
% 1.17/1.38 A new axiom: (forall (M:nat), (((eq nat) ((divide_divide_nat M) (suc zero_zero_nat))) M))
% 1.17/1.38 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(((eq nat) ((divide_divide_nat M) N)) zero_zero_nat))) of role axiom named fact_100_div__less
% 1.17/1.38 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->(((eq nat) ((divide_divide_nat M) N)) zero_zero_nat)))
% 1.17/1.38 FOF formula (forall (X:nat) (M:nat), (((eq Prop) (((eq nat) ((power_power_nat X) M)) (suc zero_zero_nat))) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) X) (suc zero_zero_nat))))) of role axiom named fact_101_nat__power__eq__Suc__0__iff
% 1.17/1.38 A new axiom: (forall (X:nat) (M:nat), (((eq Prop) (((eq nat) ((power_power_nat X) M)) (suc zero_zero_nat))) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) X) (suc zero_zero_nat)))))
% 1.17/1.40 FOF formula (forall (N:nat), (((eq nat) ((power_power_nat (suc zero_zero_nat)) N)) (suc zero_zero_nat))) of role axiom named fact_102_power__Suc__0
% 1.17/1.40 A new axiom: (forall (N:nat), (((eq nat) ((power_power_nat (suc zero_zero_nat)) N)) (suc zero_zero_nat)))
% 1.17/1.40 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((and ((ord_less_nat zero_zero_nat) K)) ((ord_less_nat M) N)))) of role axiom named fact_103_nat__mult__less__cancel__disj
% 1.17/1.40 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) ((ord_less_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((and ((ord_less_nat zero_zero_nat) K)) ((ord_less_nat M) N))))
% 1.17/1.40 FOF formula (forall (X:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((power_power_nat X) N))) ((or ((ord_less_nat zero_zero_nat) X)) (((eq nat) N) zero_zero_nat)))) of role axiom named fact_104_nat__zero__less__power__iff
% 1.17/1.40 A new axiom: (forall (X:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((power_power_nat X) N))) ((or ((ord_less_nat zero_zero_nat) X)) (((eq nat) N) zero_zero_nat))))
% 1.17/1.40 FOF formula (forall (A:nat) (K:num) (L:num), (((eq nat) ((divide_divide_nat ((divide_divide_nat A) (numeral_numeral_nat K))) (numeral_numeral_nat L))) ((divide_divide_nat A) (numeral_numeral_nat ((times_times_num K) L))))) of role axiom named fact_105_div__mult2__numeral__eq
% 1.17/1.40 A new axiom: (forall (A:nat) (K:num) (L:num), (((eq nat) ((divide_divide_nat ((divide_divide_nat A) (numeral_numeral_nat K))) (numeral_numeral_nat L))) ((divide_divide_nat A) (numeral_numeral_nat ((times_times_num K) L)))))
% 1.17/1.40 FOF formula (forall (A:int) (K:num) (L:num), (((eq int) ((divide_divide_int ((divide_divide_int A) (numeral_numeral_int K))) (numeral_numeral_int L))) ((divide_divide_int A) (numeral_numeral_int ((times_times_num K) L))))) of role axiom named fact_106_div__mult2__numeral__eq
% 1.17/1.40 A new axiom: (forall (A:int) (K:num) (L:num), (((eq int) ((divide_divide_int ((divide_divide_int A) (numeral_numeral_int K))) (numeral_numeral_int L))) ((divide_divide_int A) (numeral_numeral_int ((times_times_num K) L)))))
% 1.17/1.40 FOF formula (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A))) of role axiom named fact_107_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:real) (P:(real->Prop)), (((eq Prop) ((member_real A) (collect_real P))) (P A)))
% 1.17/1.40 FOF formula (forall (A:vEBT_VEBT) (P:(vEBT_VEBT->Prop)), (((eq Prop) ((member_VEBT_VEBT A) (collect_VEBT_VEBT P))) (P A))) of role axiom named fact_108_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:vEBT_VEBT) (P:(vEBT_VEBT->Prop)), (((eq Prop) ((member_VEBT_VEBT A) (collect_VEBT_VEBT P))) (P A)))
% 1.17/1.40 FOF formula (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A))) of role axiom named fact_109_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:nat) (P:(nat->Prop)), (((eq Prop) ((member_nat A) (collect_nat P))) (P A)))
% 1.17/1.40 FOF formula (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A))) of role axiom named fact_110_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:int) (P:(int->Prop)), (((eq Prop) ((member_int A) (collect_int P))) (P A)))
% 1.17/1.40 FOF formula (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A))) of role axiom named fact_111_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:complex) (P:(complex->Prop)), (((eq Prop) ((member_complex A) (collect_complex P))) (P A)))
% 1.17/1.40 FOF formula (forall (A:product_prod_int_int) (P:(product_prod_int_int->Prop)), (((eq Prop) ((member5262025264175285858nt_int A) (collec213857154873943460nt_int P))) (P A))) of role axiom named fact_112_mem__Collect__eq
% 1.17/1.40 A new axiom: (forall (A:product_prod_int_int) (P:(product_prod_int_int->Prop)), (((eq Prop) ((member5262025264175285858nt_int A) (collec213857154873943460nt_int P))) (P A)))
% 1.17/1.40 FOF formula (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2)) of role axiom named fact_113_Collect__mem__eq
% 1.17/1.40 A new axiom: (forall (A2:set_real), (((eq set_real) (collect_real (fun (X2:real)=> ((member_real X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) (collect_VEBT_VEBT (fun (X2:vEBT_VEBT)=> ((member_VEBT_VEBT X2) A2)))) A2)) of role axiom named fact_114_Collect__mem__eq
% 1.17/1.42 A new axiom: (forall (A2:set_VEBT_VEBT), (((eq set_VEBT_VEBT) (collect_VEBT_VEBT (fun (X2:vEBT_VEBT)=> ((member_VEBT_VEBT X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2)) of role axiom named fact_115_Collect__mem__eq
% 1.17/1.42 A new axiom: (forall (A2:set_nat), (((eq set_nat) (collect_nat (fun (X2:nat)=> ((member_nat X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2)) of role axiom named fact_116_Collect__mem__eq
% 1.17/1.42 A new axiom: (forall (A2:set_int), (((eq set_int) (collect_int (fun (X2:int)=> ((member_int X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2)) of role axiom named fact_117_Collect__mem__eq
% 1.17/1.42 A new axiom: (forall (A2:set_complex), (((eq set_complex) (collect_complex (fun (X2:complex)=> ((member_complex X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (A2:set_Pr958786334691620121nt_int), (((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int (fun (X2:product_prod_int_int)=> ((member5262025264175285858nt_int X2) A2)))) A2)) of role axiom named fact_118_Collect__mem__eq
% 1.17/1.42 A new axiom: (forall (A2:set_Pr958786334691620121nt_int), (((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int (fun (X2:product_prod_int_int)=> ((member5262025264175285858nt_int X2) A2)))) A2))
% 1.17/1.42 FOF formula (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q)))) of role axiom named fact_119_Collect__cong
% 1.17/1.42 A new axiom: (forall (P:(nat->Prop)) (Q:(nat->Prop)), ((forall (X3:nat), (((eq Prop) (P X3)) (Q X3)))->(((eq set_nat) (collect_nat P)) (collect_nat Q))))
% 1.17/1.42 FOF formula (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q)))) of role axiom named fact_120_Collect__cong
% 1.17/1.42 A new axiom: (forall (P:(int->Prop)) (Q:(int->Prop)), ((forall (X3:int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_int) (collect_int P)) (collect_int Q))))
% 1.17/1.42 FOF formula (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q)))) of role axiom named fact_121_Collect__cong
% 1.17/1.42 A new axiom: (forall (P:(complex->Prop)) (Q:(complex->Prop)), ((forall (X3:complex), (((eq Prop) (P X3)) (Q X3)))->(((eq set_complex) (collect_complex P)) (collect_complex Q))))
% 1.17/1.42 FOF formula (forall (P:(product_prod_int_int->Prop)) (Q:(product_prod_int_int->Prop)), ((forall (X3:product_prod_int_int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int P)) (collec213857154873943460nt_int Q)))) of role axiom named fact_122_Collect__cong
% 1.17/1.42 A new axiom: (forall (P:(product_prod_int_int->Prop)) (Q:(product_prod_int_int->Prop)), ((forall (X3:product_prod_int_int), (((eq Prop) (P X3)) (Q X3)))->(((eq set_Pr958786334691620121nt_int) (collec213857154873943460nt_int P)) (collec213857154873943460nt_int Q))))
% 1.17/1.42 FOF formula (((ord_less_real zero_zero_real) zero_zero_real)->False) of role axiom named fact_123_less__numeral__extra_I3_J
% 1.17/1.42 A new axiom: (((ord_less_real zero_zero_real) zero_zero_real)->False)
% 1.17/1.42 FOF formula (((ord_less_rat zero_zero_rat) zero_zero_rat)->False) of role axiom named fact_124_less__numeral__extra_I3_J
% 1.17/1.42 A new axiom: (((ord_less_rat zero_zero_rat) zero_zero_rat)->False)
% 1.17/1.42 FOF formula (((ord_less_nat zero_zero_nat) zero_zero_nat)->False) of role axiom named fact_125_less__numeral__extra_I3_J
% 1.17/1.42 A new axiom: (((ord_less_nat zero_zero_nat) zero_zero_nat)->False)
% 1.17/1.42 FOF formula (((ord_less_int zero_zero_int) zero_zero_int)->False) of role axiom named fact_126_less__numeral__extra_I3_J
% 1.17/1.42 A new axiom: (((ord_less_int zero_zero_int) zero_zero_int)->False)
% 1.24/1.43 FOF formula (((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) zero_z3403309356797280102nteger)->False) of role axiom named fact_127_less__numeral__extra_I3_J
% 1.24/1.43 A new axiom: (((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) zero_z3403309356797280102nteger)->False)
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq code_integer) zero_z3403309356797280102nteger) (numera6620942414471956472nteger N)))) of role axiom named fact_128_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq code_integer) zero_z3403309356797280102nteger) (numera6620942414471956472nteger N))))
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq complex) zero_zero_complex) (numera6690914467698888265omplex N)))) of role axiom named fact_129_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq complex) zero_zero_complex) (numera6690914467698888265omplex N))))
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq real) zero_zero_real) (numeral_numeral_real N)))) of role axiom named fact_130_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq real) zero_zero_real) (numeral_numeral_real N))))
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq rat) zero_zero_rat) (numeral_numeral_rat N)))) of role axiom named fact_131_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq rat) zero_zero_rat) (numeral_numeral_rat N))))
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq nat) zero_zero_nat) (numeral_numeral_nat N)))) of role axiom named fact_132_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq nat) zero_zero_nat) (numeral_numeral_nat N))))
% 1.24/1.43 FOF formula (forall (N:num), (not (((eq int) zero_zero_int) (numeral_numeral_int N)))) of role axiom named fact_133_zero__neq__numeral
% 1.24/1.43 A new axiom: (forall (N:num), (not (((eq int) zero_zero_int) (numeral_numeral_int N))))
% 1.24/1.43 FOF formula (forall (A:nat) (N:nat), ((not (((eq nat) A) zero_zero_nat))->(not (((eq nat) ((power_power_nat A) N)) zero_zero_nat)))) of role axiom named fact_134_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:nat) (N:nat), ((not (((eq nat) A) zero_zero_nat))->(not (((eq nat) ((power_power_nat A) N)) zero_zero_nat))))
% 1.24/1.43 FOF formula (forall (A:real) (N:nat), ((not (((eq real) A) zero_zero_real))->(not (((eq real) ((power_power_real A) N)) zero_zero_real)))) of role axiom named fact_135_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:real) (N:nat), ((not (((eq real) A) zero_zero_real))->(not (((eq real) ((power_power_real A) N)) zero_zero_real))))
% 1.24/1.43 FOF formula (forall (A:int) (N:nat), ((not (((eq int) A) zero_zero_int))->(not (((eq int) ((power_power_int A) N)) zero_zero_int)))) of role axiom named fact_136_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:int) (N:nat), ((not (((eq int) A) zero_zero_int))->(not (((eq int) ((power_power_int A) N)) zero_zero_int))))
% 1.24/1.43 FOF formula (forall (A:complex) (N:nat), ((not (((eq complex) A) zero_zero_complex))->(not (((eq complex) ((power_power_complex A) N)) zero_zero_complex)))) of role axiom named fact_137_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:complex) (N:nat), ((not (((eq complex) A) zero_zero_complex))->(not (((eq complex) ((power_power_complex A) N)) zero_zero_complex))))
% 1.24/1.43 FOF formula (forall (A:code_integer) (N:nat), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->(not (((eq code_integer) ((power_8256067586552552935nteger A) N)) zero_z3403309356797280102nteger)))) of role axiom named fact_138_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:code_integer) (N:nat), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->(not (((eq code_integer) ((power_8256067586552552935nteger A) N)) zero_z3403309356797280102nteger))))
% 1.24/1.43 FOF formula (forall (A:rat) (N:nat), ((not (((eq rat) A) zero_zero_rat))->(not (((eq rat) ((power_power_rat A) N)) zero_zero_rat)))) of role axiom named fact_139_semiring__1__no__zero__divisors__class_Opower__not__zero
% 1.24/1.43 A new axiom: (forall (A:rat) (N:nat), ((not (((eq rat) A) zero_zero_rat))->(not (((eq rat) ((power_power_rat A) N)) zero_zero_rat))))
% 1.24/1.45 FOF formula (forall (X:complex) (Y:complex) (N:nat), ((((eq complex) ((times_times_complex X) Y)) ((times_times_complex Y) X))->(((eq complex) ((times_times_complex ((power_power_complex X) N)) Y)) ((times_times_complex Y) ((power_power_complex X) N))))) of role axiom named fact_140_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:complex) (Y:complex) (N:nat), ((((eq complex) ((times_times_complex X) Y)) ((times_times_complex Y) X))->(((eq complex) ((times_times_complex ((power_power_complex X) N)) Y)) ((times_times_complex Y) ((power_power_complex X) N)))))
% 1.24/1.45 FOF formula (forall (X:code_integer) (Y:code_integer) (N:nat), ((((eq code_integer) ((times_3573771949741848930nteger X) Y)) ((times_3573771949741848930nteger Y) X))->(((eq code_integer) ((times_3573771949741848930nteger ((power_8256067586552552935nteger X) N)) Y)) ((times_3573771949741848930nteger Y) ((power_8256067586552552935nteger X) N))))) of role axiom named fact_141_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:code_integer) (Y:code_integer) (N:nat), ((((eq code_integer) ((times_3573771949741848930nteger X) Y)) ((times_3573771949741848930nteger Y) X))->(((eq code_integer) ((times_3573771949741848930nteger ((power_8256067586552552935nteger X) N)) Y)) ((times_3573771949741848930nteger Y) ((power_8256067586552552935nteger X) N)))))
% 1.24/1.45 FOF formula (forall (X:real) (Y:real) (N:nat), ((((eq real) ((times_times_real X) Y)) ((times_times_real Y) X))->(((eq real) ((times_times_real ((power_power_real X) N)) Y)) ((times_times_real Y) ((power_power_real X) N))))) of role axiom named fact_142_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:real) (Y:real) (N:nat), ((((eq real) ((times_times_real X) Y)) ((times_times_real Y) X))->(((eq real) ((times_times_real ((power_power_real X) N)) Y)) ((times_times_real Y) ((power_power_real X) N)))))
% 1.24/1.45 FOF formula (forall (X:rat) (Y:rat) (N:nat), ((((eq rat) ((times_times_rat X) Y)) ((times_times_rat Y) X))->(((eq rat) ((times_times_rat ((power_power_rat X) N)) Y)) ((times_times_rat Y) ((power_power_rat X) N))))) of role axiom named fact_143_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:rat) (Y:rat) (N:nat), ((((eq rat) ((times_times_rat X) Y)) ((times_times_rat Y) X))->(((eq rat) ((times_times_rat ((power_power_rat X) N)) Y)) ((times_times_rat Y) ((power_power_rat X) N)))))
% 1.24/1.45 FOF formula (forall (X:nat) (Y:nat) (N:nat), ((((eq nat) ((times_times_nat X) Y)) ((times_times_nat Y) X))->(((eq nat) ((times_times_nat ((power_power_nat X) N)) Y)) ((times_times_nat Y) ((power_power_nat X) N))))) of role axiom named fact_144_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:nat) (Y:nat) (N:nat), ((((eq nat) ((times_times_nat X) Y)) ((times_times_nat Y) X))->(((eq nat) ((times_times_nat ((power_power_nat X) N)) Y)) ((times_times_nat Y) ((power_power_nat X) N)))))
% 1.24/1.45 FOF formula (forall (X:int) (Y:int) (N:nat), ((((eq int) ((times_times_int X) Y)) ((times_times_int Y) X))->(((eq int) ((times_times_int ((power_power_int X) N)) Y)) ((times_times_int Y) ((power_power_int X) N))))) of role axiom named fact_145_power__commuting__commutes
% 1.24/1.45 A new axiom: (forall (X:int) (Y:int) (N:nat), ((((eq int) ((times_times_int X) Y)) ((times_times_int Y) X))->(((eq int) ((times_times_int ((power_power_int X) N)) Y)) ((times_times_int Y) ((power_power_int X) N)))))
% 1.24/1.45 FOF formula (forall (A:complex) (B:complex) (N:nat), (((eq complex) ((power_power_complex ((times_times_complex A) B)) N)) ((times_times_complex ((power_power_complex A) N)) ((power_power_complex B) N)))) of role axiom named fact_146_power__mult__distrib
% 1.24/1.45 A new axiom: (forall (A:complex) (B:complex) (N:nat), (((eq complex) ((power_power_complex ((times_times_complex A) B)) N)) ((times_times_complex ((power_power_complex A) N)) ((power_power_complex B) N))))
% 1.24/1.45 FOF formula (forall (A:code_integer) (B:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger ((times_3573771949741848930nteger A) B)) N)) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) ((power_8256067586552552935nteger B) N)))) of role axiom named fact_147_power__mult__distrib
% 1.28/1.47 A new axiom: (forall (A:code_integer) (B:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger ((times_3573771949741848930nteger A) B)) N)) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) ((power_8256067586552552935nteger B) N))))
% 1.28/1.47 FOF formula (forall (A:real) (B:real) (N:nat), (((eq real) ((power_power_real ((times_times_real A) B)) N)) ((times_times_real ((power_power_real A) N)) ((power_power_real B) N)))) of role axiom named fact_148_power__mult__distrib
% 1.28/1.47 A new axiom: (forall (A:real) (B:real) (N:nat), (((eq real) ((power_power_real ((times_times_real A) B)) N)) ((times_times_real ((power_power_real A) N)) ((power_power_real B) N))))
% 1.28/1.47 FOF formula (forall (A:rat) (B:rat) (N:nat), (((eq rat) ((power_power_rat ((times_times_rat A) B)) N)) ((times_times_rat ((power_power_rat A) N)) ((power_power_rat B) N)))) of role axiom named fact_149_power__mult__distrib
% 1.28/1.47 A new axiom: (forall (A:rat) (B:rat) (N:nat), (((eq rat) ((power_power_rat ((times_times_rat A) B)) N)) ((times_times_rat ((power_power_rat A) N)) ((power_power_rat B) N))))
% 1.28/1.47 FOF formula (forall (A:nat) (B:nat) (N:nat), (((eq nat) ((power_power_nat ((times_times_nat A) B)) N)) ((times_times_nat ((power_power_nat A) N)) ((power_power_nat B) N)))) of role axiom named fact_150_power__mult__distrib
% 1.28/1.47 A new axiom: (forall (A:nat) (B:nat) (N:nat), (((eq nat) ((power_power_nat ((times_times_nat A) B)) N)) ((times_times_nat ((power_power_nat A) N)) ((power_power_nat B) N))))
% 1.28/1.47 FOF formula (forall (A:int) (B:int) (N:nat), (((eq int) ((power_power_int ((times_times_int A) B)) N)) ((times_times_int ((power_power_int A) N)) ((power_power_int B) N)))) of role axiom named fact_151_power__mult__distrib
% 1.28/1.47 A new axiom: (forall (A:int) (B:int) (N:nat), (((eq int) ((power_power_int ((times_times_int A) B)) N)) ((times_times_int ((power_power_int A) N)) ((power_power_int B) N))))
% 1.28/1.47 FOF formula (forall (A:complex) (N:nat), (((eq complex) ((times_times_complex ((power_power_complex A) N)) A)) ((times_times_complex A) ((power_power_complex A) N)))) of role axiom named fact_152_power__commutes
% 1.28/1.47 A new axiom: (forall (A:complex) (N:nat), (((eq complex) ((times_times_complex ((power_power_complex A) N)) A)) ((times_times_complex A) ((power_power_complex A) N))))
% 1.28/1.47 FOF formula (forall (A:code_integer) (N:nat), (((eq code_integer) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) A)) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger A) N)))) of role axiom named fact_153_power__commutes
% 1.28/1.47 A new axiom: (forall (A:code_integer) (N:nat), (((eq code_integer) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) A)) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger A) N))))
% 1.28/1.47 FOF formula (forall (A:real) (N:nat), (((eq real) ((times_times_real ((power_power_real A) N)) A)) ((times_times_real A) ((power_power_real A) N)))) of role axiom named fact_154_power__commutes
% 1.28/1.47 A new axiom: (forall (A:real) (N:nat), (((eq real) ((times_times_real ((power_power_real A) N)) A)) ((times_times_real A) ((power_power_real A) N))))
% 1.28/1.47 FOF formula (forall (A:rat) (N:nat), (((eq rat) ((times_times_rat ((power_power_rat A) N)) A)) ((times_times_rat A) ((power_power_rat A) N)))) of role axiom named fact_155_power__commutes
% 1.28/1.47 A new axiom: (forall (A:rat) (N:nat), (((eq rat) ((times_times_rat ((power_power_rat A) N)) A)) ((times_times_rat A) ((power_power_rat A) N))))
% 1.28/1.47 FOF formula (forall (A:nat) (N:nat), (((eq nat) ((times_times_nat ((power_power_nat A) N)) A)) ((times_times_nat A) ((power_power_nat A) N)))) of role axiom named fact_156_power__commutes
% 1.28/1.47 A new axiom: (forall (A:nat) (N:nat), (((eq nat) ((times_times_nat ((power_power_nat A) N)) A)) ((times_times_nat A) ((power_power_nat A) N))))
% 1.28/1.47 FOF formula (forall (A:int) (N:nat), (((eq int) ((times_times_int ((power_power_int A) N)) A)) ((times_times_int A) ((power_power_int A) N)))) of role axiom named fact_157_power__commutes
% 1.28/1.47 A new axiom: (forall (A:int) (N:nat), (((eq int) ((times_times_int ((power_power_int A) N)) A)) ((times_times_int A) ((power_power_int A) N))))
% 1.28/1.49 FOF formula (forall (A:complex) (B:complex) (N:nat), (((eq complex) ((power_power_complex ((divide1717551699836669952omplex A) B)) N)) ((divide1717551699836669952omplex ((power_power_complex A) N)) ((power_power_complex B) N)))) of role axiom named fact_158_power__divide
% 1.28/1.49 A new axiom: (forall (A:complex) (B:complex) (N:nat), (((eq complex) ((power_power_complex ((divide1717551699836669952omplex A) B)) N)) ((divide1717551699836669952omplex ((power_power_complex A) N)) ((power_power_complex B) N))))
% 1.28/1.49 FOF formula (forall (A:real) (B:real) (N:nat), (((eq real) ((power_power_real ((divide_divide_real A) B)) N)) ((divide_divide_real ((power_power_real A) N)) ((power_power_real B) N)))) of role axiom named fact_159_power__divide
% 1.28/1.49 A new axiom: (forall (A:real) (B:real) (N:nat), (((eq real) ((power_power_real ((divide_divide_real A) B)) N)) ((divide_divide_real ((power_power_real A) N)) ((power_power_real B) N))))
% 1.28/1.49 FOF formula (forall (A:rat) (B:rat) (N:nat), (((eq rat) ((power_power_rat ((divide_divide_rat A) B)) N)) ((divide_divide_rat ((power_power_rat A) N)) ((power_power_rat B) N)))) of role axiom named fact_160_power__divide
% 1.28/1.49 A new axiom: (forall (A:rat) (B:rat) (N:nat), (((eq rat) ((power_power_rat ((divide_divide_rat A) B)) N)) ((divide_divide_rat ((power_power_rat A) N)) ((power_power_rat B) N))))
% 1.28/1.49 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) ((or (((eq nat) K) zero_zero_nat)) (((eq nat) M) N)))) of role axiom named fact_161_nat__mult__eq__cancel__disj
% 1.28/1.49 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) ((or (((eq nat) K) zero_zero_nat)) (((eq nat) M) N))))
% 1.28/1.49 FOF formula (forall (A:nat) (M:nat) (N:nat), (((eq nat) ((power_power_nat A) ((times_times_nat M) N))) ((power_power_nat ((power_power_nat A) M)) N))) of role axiom named fact_162_power__mult
% 1.28/1.49 A new axiom: (forall (A:nat) (M:nat) (N:nat), (((eq nat) ((power_power_nat A) ((times_times_nat M) N))) ((power_power_nat ((power_power_nat A) M)) N)))
% 1.28/1.49 FOF formula (forall (A:real) (M:nat) (N:nat), (((eq real) ((power_power_real A) ((times_times_nat M) N))) ((power_power_real ((power_power_real A) M)) N))) of role axiom named fact_163_power__mult
% 1.28/1.49 A new axiom: (forall (A:real) (M:nat) (N:nat), (((eq real) ((power_power_real A) ((times_times_nat M) N))) ((power_power_real ((power_power_real A) M)) N)))
% 1.28/1.49 FOF formula (forall (A:int) (M:nat) (N:nat), (((eq int) ((power_power_int A) ((times_times_nat M) N))) ((power_power_int ((power_power_int A) M)) N))) of role axiom named fact_164_power__mult
% 1.28/1.49 A new axiom: (forall (A:int) (M:nat) (N:nat), (((eq int) ((power_power_int A) ((times_times_nat M) N))) ((power_power_int ((power_power_int A) M)) N)))
% 1.28/1.49 FOF formula (forall (A:complex) (M:nat) (N:nat), (((eq complex) ((power_power_complex A) ((times_times_nat M) N))) ((power_power_complex ((power_power_complex A) M)) N))) of role axiom named fact_165_power__mult
% 1.28/1.49 A new axiom: (forall (A:complex) (M:nat) (N:nat), (((eq complex) ((power_power_complex A) ((times_times_nat M) N))) ((power_power_complex ((power_power_complex A) M)) N)))
% 1.28/1.49 FOF formula (forall (A:code_integer) (M:nat) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) ((times_times_nat M) N))) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) M)) N))) of role axiom named fact_166_power__mult
% 1.28/1.49 A new axiom: (forall (A:code_integer) (M:nat) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) ((times_times_nat M) N))) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) M)) N)))
% 1.28/1.49 FOF formula (forall (A:rat) (M:nat) (N:nat), (((eq rat) ((power_power_rat A) ((times_times_nat M) N))) ((power_power_rat ((power_power_rat A) M)) N))) of role axiom named fact_167_power__mult
% 1.28/1.49 A new axiom: (forall (A:rat) (M:nat) (N:nat), (((eq rat) ((power_power_rat A) ((times_times_nat M) N))) ((power_power_rat ((power_power_rat A) M)) N)))
% 1.28/1.49 FOF formula (forall (M:nat) (N:nat) (Q2:nat), (((eq nat) ((divide_divide_nat M) ((times_times_nat N) Q2))) ((divide_divide_nat ((divide_divide_nat M) N)) Q2))) of role axiom named fact_168_div__mult2__eq
% 1.28/1.51 A new axiom: (forall (M:nat) (N:nat) (Q2:nat), (((eq nat) ((divide_divide_nat M) ((times_times_nat N) Q2))) ((divide_divide_nat ((divide_divide_nat M) N)) Q2)))
% 1.28/1.51 FOF formula (forall (N:num), (((ord_le6747313008572928689nteger (numera6620942414471956472nteger N)) zero_z3403309356797280102nteger)->False)) of role axiom named fact_169_not__numeral__less__zero
% 1.28/1.51 A new axiom: (forall (N:num), (((ord_le6747313008572928689nteger (numera6620942414471956472nteger N)) zero_z3403309356797280102nteger)->False))
% 1.28/1.51 FOF formula (forall (N:num), (((ord_less_real (numeral_numeral_real N)) zero_zero_real)->False)) of role axiom named fact_170_not__numeral__less__zero
% 1.28/1.51 A new axiom: (forall (N:num), (((ord_less_real (numeral_numeral_real N)) zero_zero_real)->False))
% 1.28/1.51 FOF formula (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) zero_zero_rat)->False)) of role axiom named fact_171_not__numeral__less__zero
% 1.28/1.51 A new axiom: (forall (N:num), (((ord_less_rat (numeral_numeral_rat N)) zero_zero_rat)->False))
% 1.28/1.51 FOF formula (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) zero_zero_nat)->False)) of role axiom named fact_172_not__numeral__less__zero
% 1.28/1.51 A new axiom: (forall (N:num), (((ord_less_nat (numeral_numeral_nat N)) zero_zero_nat)->False))
% 1.28/1.51 FOF formula (forall (N:num), (((ord_less_int (numeral_numeral_int N)) zero_zero_int)->False)) of role axiom named fact_173_not__numeral__less__zero
% 1.28/1.51 A new axiom: (forall (N:num), (((ord_less_int (numeral_numeral_int N)) zero_zero_int)->False))
% 1.28/1.51 FOF formula (forall (N:num), ((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) (numera6620942414471956472nteger N))) of role axiom named fact_174_zero__less__numeral
% 1.28/1.51 A new axiom: (forall (N:num), ((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) (numera6620942414471956472nteger N)))
% 1.28/1.51 FOF formula (forall (N:num), ((ord_less_real zero_zero_real) (numeral_numeral_real N))) of role axiom named fact_175_zero__less__numeral
% 1.28/1.51 A new axiom: (forall (N:num), ((ord_less_real zero_zero_real) (numeral_numeral_real N)))
% 1.28/1.51 FOF formula (forall (N:num), ((ord_less_rat zero_zero_rat) (numeral_numeral_rat N))) of role axiom named fact_176_zero__less__numeral
% 1.28/1.51 A new axiom: (forall (N:num), ((ord_less_rat zero_zero_rat) (numeral_numeral_rat N)))
% 1.28/1.51 FOF formula (forall (N:num), ((ord_less_nat zero_zero_nat) (numeral_numeral_nat N))) of role axiom named fact_177_zero__less__numeral
% 1.28/1.51 A new axiom: (forall (N:num), ((ord_less_nat zero_zero_nat) (numeral_numeral_nat N)))
% 1.28/1.51 FOF formula (forall (N:num), ((ord_less_int zero_zero_int) (numeral_numeral_int N))) of role axiom named fact_178_zero__less__numeral
% 1.28/1.51 A new axiom: (forall (N:num), ((ord_less_int zero_zero_int) (numeral_numeral_int N)))
% 1.28/1.51 FOF formula (forall (A:real) (N:nat), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((power_power_real A) N)))) of role axiom named fact_179_zero__less__power
% 1.28/1.51 A new axiom: (forall (A:real) (N:nat), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((power_power_real A) N))))
% 1.28/1.51 FOF formula (forall (A:rat) (N:nat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((power_power_rat A) N)))) of role axiom named fact_180_zero__less__power
% 1.28/1.51 A new axiom: (forall (A:rat) (N:nat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((power_power_rat A) N))))
% 1.28/1.51 FOF formula (forall (A:nat) (N:nat), (((ord_less_nat zero_zero_nat) A)->((ord_less_nat zero_zero_nat) ((power_power_nat A) N)))) of role axiom named fact_181_zero__less__power
% 1.28/1.51 A new axiom: (forall (A:nat) (N:nat), (((ord_less_nat zero_zero_nat) A)->((ord_less_nat zero_zero_nat) ((power_power_nat A) N))))
% 1.28/1.51 FOF formula (forall (A:int) (N:nat), (((ord_less_int zero_zero_int) A)->((ord_less_int zero_zero_int) ((power_power_int A) N)))) of role axiom named fact_182_zero__less__power
% 1.28/1.51 A new axiom: (forall (A:int) (N:nat), (((ord_less_int zero_zero_int) A)->((ord_less_int zero_zero_int) ((power_power_int A) N))))
% 1.28/1.51 FOF formula (forall (A:code_integer) (N:nat), (((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) A)->((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) ((power_8256067586552552935nteger A) N)))) of role axiom named fact_183_zero__less__power
% 1.28/1.53 A new axiom: (forall (A:code_integer) (N:nat), (((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) A)->((ord_le6747313008572928689nteger zero_z3403309356797280102nteger) ((power_8256067586552552935nteger A) N))))
% 1.28/1.53 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_184_mult__numeral__1__right
% 1.28/1.53 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex A) (numera6690914467698888265omplex one))) A))
% 1.28/1.53 FOF formula (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A)) of role axiom named fact_185_mult__numeral__1__right
% 1.28/1.53 A new axiom: (forall (A:real), (((eq real) ((times_times_real A) (numeral_numeral_real one))) A))
% 1.28/1.53 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_186_mult__numeral__1__right
% 1.28/1.53 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat A) (numeral_numeral_rat one))) A))
% 1.28/1.53 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A)) of role axiom named fact_187_mult__numeral__1__right
% 1.28/1.53 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat A) (numeral_numeral_nat one))) A))
% 1.28/1.53 FOF formula (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A)) of role axiom named fact_188_mult__numeral__1__right
% 1.28/1.53 A new axiom: (forall (A:int), (((eq int) ((times_times_int A) (numeral_numeral_int one))) A))
% 1.28/1.53 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A)) of role axiom named fact_189_mult__numeral__1
% 1.28/1.53 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex (numera6690914467698888265omplex one)) A)) A))
% 1.28/1.53 FOF formula (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A)) of role axiom named fact_190_mult__numeral__1
% 1.28/1.53 A new axiom: (forall (A:real), (((eq real) ((times_times_real (numeral_numeral_real one)) A)) A))
% 1.28/1.53 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A)) of role axiom named fact_191_mult__numeral__1
% 1.28/1.53 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat (numeral_numeral_rat one)) A)) A))
% 1.28/1.53 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A)) of role axiom named fact_192_mult__numeral__1
% 1.28/1.53 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat (numeral_numeral_nat one)) A)) A))
% 1.28/1.53 FOF formula (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A)) of role axiom named fact_193_mult__numeral__1
% 1.28/1.53 A new axiom: (forall (A:int), (((eq int) ((times_times_int (numeral_numeral_int one)) A)) A))
% 1.28/1.53 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A)) of role axiom named fact_194_divide__numeral__1
% 1.28/1.53 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) (numera6690914467698888265omplex one))) A))
% 1.28/1.53 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A)) of role axiom named fact_195_divide__numeral__1
% 1.28/1.53 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) (numeral_numeral_real one))) A))
% 1.28/1.53 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A)) of role axiom named fact_196_divide__numeral__1
% 1.28/1.53 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) (numeral_numeral_rat one))) A))
% 1.28/1.53 FOF formula (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc N))) ((times_times_complex ((power_power_complex A) N)) A))) of role axiom named fact_197_power__Suc2
% 1.28/1.53 A new axiom: (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc N))) ((times_times_complex ((power_power_complex A) N)) A)))
% 1.28/1.53 FOF formula (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc N))) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) A))) of role axiom named fact_198_power__Suc2
% 1.36/1.55 A new axiom: (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc N))) ((times_3573771949741848930nteger ((power_8256067586552552935nteger A) N)) A)))
% 1.36/1.55 FOF formula (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc N))) ((times_times_real ((power_power_real A) N)) A))) of role axiom named fact_199_power__Suc2
% 1.36/1.55 A new axiom: (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc N))) ((times_times_real ((power_power_real A) N)) A)))
% 1.36/1.55 FOF formula (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc N))) ((times_times_rat ((power_power_rat A) N)) A))) of role axiom named fact_200_power__Suc2
% 1.36/1.55 A new axiom: (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc N))) ((times_times_rat ((power_power_rat A) N)) A)))
% 1.36/1.55 FOF formula (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc N))) ((times_times_nat ((power_power_nat A) N)) A))) of role axiom named fact_201_power__Suc2
% 1.36/1.55 A new axiom: (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc N))) ((times_times_nat ((power_power_nat A) N)) A)))
% 1.36/1.55 FOF formula (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc N))) ((times_times_int ((power_power_int A) N)) A))) of role axiom named fact_202_power__Suc2
% 1.36/1.55 A new axiom: (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc N))) ((times_times_int ((power_power_int A) N)) A)))
% 1.36/1.55 FOF formula (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc N))) ((times_times_complex A) ((power_power_complex A) N)))) of role axiom named fact_203_power__Suc
% 1.36/1.55 A new axiom: (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc N))) ((times_times_complex A) ((power_power_complex A) N))))
% 1.36/1.55 FOF formula (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc N))) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger A) N)))) of role axiom named fact_204_power__Suc
% 1.36/1.55 A new axiom: (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc N))) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger A) N))))
% 1.36/1.55 FOF formula (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc N))) ((times_times_real A) ((power_power_real A) N)))) of role axiom named fact_205_power__Suc
% 1.36/1.55 A new axiom: (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc N))) ((times_times_real A) ((power_power_real A) N))))
% 1.36/1.55 FOF formula (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc N))) ((times_times_rat A) ((power_power_rat A) N)))) of role axiom named fact_206_power__Suc
% 1.36/1.55 A new axiom: (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc N))) ((times_times_rat A) ((power_power_rat A) N))))
% 1.36/1.55 FOF formula (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc N))) ((times_times_nat A) ((power_power_nat A) N)))) of role axiom named fact_207_power__Suc
% 1.36/1.55 A new axiom: (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc N))) ((times_times_nat A) ((power_power_nat A) N))))
% 1.36/1.55 FOF formula (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc N))) ((times_times_int A) ((power_power_int A) N)))) of role axiom named fact_208_power__Suc
% 1.36/1.55 A new axiom: (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc N))) ((times_times_int A) ((power_power_int A) N))))
% 1.36/1.55 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((divide_divide_nat M) N)) zero_zero_nat)) ((or ((ord_less_nat M) N)) (((eq nat) N) zero_zero_nat)))) of role axiom named fact_209_Euclidean__Division_Odiv__eq__0__iff
% 1.36/1.55 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((divide_divide_nat M) N)) zero_zero_nat)) ((or ((ord_less_nat M) N)) (((eq nat) N) zero_zero_nat))))
% 1.36/1.55 FOF formula (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq Prop) ((ord_less_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((ord_less_nat M) N)))) of role axiom named fact_210_nat__mult__less__cancel1
% 1.36/1.57 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq Prop) ((ord_less_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((ord_less_nat M) N))))
% 1.36/1.57 FOF formula (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) (((eq nat) M) N)))) of role axiom named fact_211_nat__mult__eq__cancel1
% 1.36/1.57 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) (((eq nat) M) N))))
% 1.36/1.57 FOF formula (forall (_TPTP_I:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) _TPTP_I)->(((ord_less_nat ((power_power_nat _TPTP_I) M)) ((power_power_nat _TPTP_I) N))->((ord_less_nat M) N)))) of role axiom named fact_212_nat__power__less__imp__less
% 1.36/1.57 A new axiom: (forall (_TPTP_I:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) _TPTP_I)->(((ord_less_nat ((power_power_nat _TPTP_I) M)) ((power_power_nat _TPTP_I) N))->((ord_less_nat M) N))))
% 1.36/1.57 FOF formula (forall (M:nat) (_TPTP_I:nat) (N:nat), (((ord_less_nat M) ((times_times_nat _TPTP_I) N))->((ord_less_nat ((divide_divide_nat M) N)) _TPTP_I))) of role axiom named fact_213_less__mult__imp__div__less
% 1.36/1.57 A new axiom: (forall (M:nat) (_TPTP_I:nat) (N:nat), (((ord_less_nat M) ((times_times_nat _TPTP_I) N))->((ord_less_nat ((divide_divide_nat M) N)) _TPTP_I)))
% 1.36/1.57 FOF formula (forall (W:num) (B:complex) (C:complex), (((eq Prop) (((eq complex) (numera6690914467698888265omplex W)) ((divide1717551699836669952omplex B) C))) ((and ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((times_times_complex (numera6690914467698888265omplex W)) C)) B))) ((((eq complex) C) zero_zero_complex)->(((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))))) of role axiom named fact_214_eq__divide__eq__numeral_I1_J
% 1.36/1.57 A new axiom: (forall (W:num) (B:complex) (C:complex), (((eq Prop) (((eq complex) (numera6690914467698888265omplex W)) ((divide1717551699836669952omplex B) C))) ((and ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((times_times_complex (numera6690914467698888265omplex W)) C)) B))) ((((eq complex) C) zero_zero_complex)->(((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)))))
% 1.36/1.57 FOF formula (forall (W:num) (B:real) (C:real), (((eq Prop) (((eq real) (numeral_numeral_real W)) ((divide_divide_real B) C))) ((and ((not (((eq real) C) zero_zero_real))->(((eq real) ((times_times_real (numeral_numeral_real W)) C)) B))) ((((eq real) C) zero_zero_real)->(((eq real) (numeral_numeral_real W)) zero_zero_real))))) of role axiom named fact_215_eq__divide__eq__numeral_I1_J
% 1.36/1.57 A new axiom: (forall (W:num) (B:real) (C:real), (((eq Prop) (((eq real) (numeral_numeral_real W)) ((divide_divide_real B) C))) ((and ((not (((eq real) C) zero_zero_real))->(((eq real) ((times_times_real (numeral_numeral_real W)) C)) B))) ((((eq real) C) zero_zero_real)->(((eq real) (numeral_numeral_real W)) zero_zero_real)))))
% 1.36/1.57 FOF formula (forall (W:num) (B:rat) (C:rat), (((eq Prop) (((eq rat) (numeral_numeral_rat W)) ((divide_divide_rat B) C))) ((and ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((eq rat) C) zero_zero_rat)->(((eq rat) (numeral_numeral_rat W)) zero_zero_rat))))) of role axiom named fact_216_eq__divide__eq__numeral_I1_J
% 1.36/1.57 A new axiom: (forall (W:num) (B:rat) (C:rat), (((eq Prop) (((eq rat) (numeral_numeral_rat W)) ((divide_divide_rat B) C))) ((and ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((eq rat) C) zero_zero_rat)->(((eq rat) (numeral_numeral_rat W)) zero_zero_rat)))))
% 1.36/1.57 FOF formula (forall (B:complex) (C:complex) (W:num), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex B) C)) (numera6690914467698888265omplex W))) ((and ((not (((eq complex) C) zero_zero_complex))->(((eq complex) B) ((times_times_complex (numera6690914467698888265omplex W)) C)))) ((((eq complex) C) zero_zero_complex)->(((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex))))) of role axiom named fact_217_divide__eq__eq__numeral_I1_J
% 1.39/1.58 A new axiom: (forall (B:complex) (C:complex) (W:num), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex B) C)) (numera6690914467698888265omplex W))) ((and ((not (((eq complex) C) zero_zero_complex))->(((eq complex) B) ((times_times_complex (numera6690914467698888265omplex W)) C)))) ((((eq complex) C) zero_zero_complex)->(((eq complex) (numera6690914467698888265omplex W)) zero_zero_complex)))))
% 1.39/1.58 FOF formula (forall (B:real) (C:real) (W:num), (((eq Prop) (((eq real) ((divide_divide_real B) C)) (numeral_numeral_real W))) ((and ((not (((eq real) C) zero_zero_real))->(((eq real) B) ((times_times_real (numeral_numeral_real W)) C)))) ((((eq real) C) zero_zero_real)->(((eq real) (numeral_numeral_real W)) zero_zero_real))))) of role axiom named fact_218_divide__eq__eq__numeral_I1_J
% 1.39/1.58 A new axiom: (forall (B:real) (C:real) (W:num), (((eq Prop) (((eq real) ((divide_divide_real B) C)) (numeral_numeral_real W))) ((and ((not (((eq real) C) zero_zero_real))->(((eq real) B) ((times_times_real (numeral_numeral_real W)) C)))) ((((eq real) C) zero_zero_real)->(((eq real) (numeral_numeral_real W)) zero_zero_real)))))
% 1.39/1.58 FOF formula (forall (B:rat) (C:rat) (W:num), (((eq Prop) (((eq rat) ((divide_divide_rat B) C)) (numeral_numeral_rat W))) ((and ((not (((eq rat) C) zero_zero_rat))->(((eq rat) B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((eq rat) C) zero_zero_rat)->(((eq rat) (numeral_numeral_rat W)) zero_zero_rat))))) of role axiom named fact_219_divide__eq__eq__numeral_I1_J
% 1.39/1.58 A new axiom: (forall (B:rat) (C:rat) (W:num), (((eq Prop) (((eq rat) ((divide_divide_rat B) C)) (numeral_numeral_rat W))) ((and ((not (((eq rat) C) zero_zero_rat))->(((eq rat) B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((eq rat) C) zero_zero_rat)->(((eq rat) (numeral_numeral_rat W)) zero_zero_rat)))))
% 1.39/1.58 FOF formula (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N))) of role axiom named fact_220_numeral__Bit0__div__2
% 1.39/1.58 A new axiom: (forall (N:num), (((eq nat) ((divide_divide_nat (numeral_numeral_nat (bit0 N))) (numeral_numeral_nat (bit0 one)))) (numeral_numeral_nat N)))
% 1.39/1.58 FOF formula (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N))) of role axiom named fact_221_numeral__Bit0__div__2
% 1.39/1.58 A new axiom: (forall (N:num), (((eq int) ((divide_divide_int (numeral_numeral_int (bit0 N))) (numeral_numeral_int (bit0 one)))) (numeral_numeral_int N)))
% 1.39/1.58 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((power_power_nat zero_zero_nat) N)) zero_zero_nat))) of role axiom named fact_222_zero__power
% 1.39/1.58 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq nat) ((power_power_nat zero_zero_nat) N)) zero_zero_nat)))
% 1.39/1.58 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq real) ((power_power_real zero_zero_real) N)) zero_zero_real))) of role axiom named fact_223_zero__power
% 1.39/1.58 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq real) ((power_power_real zero_zero_real) N)) zero_zero_real)))
% 1.39/1.58 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq int) ((power_power_int zero_zero_int) N)) zero_zero_int))) of role axiom named fact_224_zero__power
% 1.39/1.58 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq int) ((power_power_int zero_zero_int) N)) zero_zero_int)))
% 1.39/1.58 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq complex) ((power_power_complex zero_zero_complex) N)) zero_zero_complex))) of role axiom named fact_225_zero__power
% 1.39/1.58 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq complex) ((power_power_complex zero_zero_complex) N)) zero_zero_complex)))
% 1.39/1.58 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) N)) zero_z3403309356797280102nteger))) of role axiom named fact_226_zero__power
% 1.39/1.58 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) N)) zero_z3403309356797280102nteger)))
% 1.39/1.61 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq rat) ((power_power_rat zero_zero_rat) N)) zero_zero_rat))) of role axiom named fact_227_zero__power
% 1.39/1.61 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->(((eq rat) ((power_power_rat zero_zero_rat) N)) zero_zero_rat)))
% 1.39/1.61 FOF formula (((eq nat) (numeral_numeral_nat one)) (suc zero_zero_nat)) of role axiom named fact_228_numeral__1__eq__Suc__0
% 1.39/1.61 A new axiom: (((eq nat) (numeral_numeral_nat one)) (suc zero_zero_nat))
% 1.39/1.61 FOF formula (forall (N:nat) (K:nat), (((ord_less_nat (suc zero_zero_nat)) N)->((ord_less_nat K) ((power_power_nat N) K)))) of role axiom named fact_229_power__gt__expt
% 1.39/1.61 A new axiom: (forall (N:nat) (K:nat), (((ord_less_nat (suc zero_zero_nat)) N)->((ord_less_nat K) ((power_power_nat N) K))))
% 1.39/1.61 FOF formula (forall (Q2:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) Q2)->(((eq Prop) ((ord_less_nat ((divide_divide_nat M) Q2)) N)) ((ord_less_nat M) ((times_times_nat N) Q2))))) of role axiom named fact_230_div__less__iff__less__mult
% 1.39/1.61 A new axiom: (forall (Q2:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) Q2)->(((eq Prop) ((ord_less_nat ((divide_divide_nat M) Q2)) N)) ((ord_less_nat M) ((times_times_nat N) Q2)))))
% 1.39/1.61 FOF formula (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((divide_divide_nat M) N)))) of role axiom named fact_231_nat__mult__div__cancel1
% 1.39/1.61 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((ord_less_nat zero_zero_nat) K)->(((eq nat) ((divide_divide_nat ((times_times_nat K) M)) ((times_times_nat K) N))) ((divide_divide_nat M) N))))
% 1.39/1.61 FOF formula (forall (W:num) (B:real) (C:real), (((eq Prop) ((ord_less_real (numeral_numeral_real W)) ((divide_divide_real B) C))) ((and (((ord_less_real zero_zero_real) C)->((ord_less_real ((times_times_real (numeral_numeral_real W)) C)) B))) ((((ord_less_real zero_zero_real) C)->False)->((and (((ord_less_real C) zero_zero_real)->((ord_less_real B) ((times_times_real (numeral_numeral_real W)) C)))) ((((ord_less_real C) zero_zero_real)->False)->((ord_less_real (numeral_numeral_real W)) zero_zero_real))))))) of role axiom named fact_232_less__divide__eq__numeral_I1_J
% 1.39/1.61 A new axiom: (forall (W:num) (B:real) (C:real), (((eq Prop) ((ord_less_real (numeral_numeral_real W)) ((divide_divide_real B) C))) ((and (((ord_less_real zero_zero_real) C)->((ord_less_real ((times_times_real (numeral_numeral_real W)) C)) B))) ((((ord_less_real zero_zero_real) C)->False)->((and (((ord_less_real C) zero_zero_real)->((ord_less_real B) ((times_times_real (numeral_numeral_real W)) C)))) ((((ord_less_real C) zero_zero_real)->False)->((ord_less_real (numeral_numeral_real W)) zero_zero_real)))))))
% 1.39/1.61 FOF formula (forall (W:num) (B:rat) (C:rat), (((eq Prop) ((ord_less_rat (numeral_numeral_rat W)) ((divide_divide_rat B) C))) ((and (((ord_less_rat zero_zero_rat) C)->((ord_less_rat ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((ord_less_rat zero_zero_rat) C)->False)->((and (((ord_less_rat C) zero_zero_rat)->((ord_less_rat B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((ord_less_rat C) zero_zero_rat)->False)->((ord_less_rat (numeral_numeral_rat W)) zero_zero_rat))))))) of role axiom named fact_233_less__divide__eq__numeral_I1_J
% 1.39/1.61 A new axiom: (forall (W:num) (B:rat) (C:rat), (((eq Prop) ((ord_less_rat (numeral_numeral_rat W)) ((divide_divide_rat B) C))) ((and (((ord_less_rat zero_zero_rat) C)->((ord_less_rat ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((ord_less_rat zero_zero_rat) C)->False)->((and (((ord_less_rat C) zero_zero_rat)->((ord_less_rat B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((ord_less_rat C) zero_zero_rat)->False)->((ord_less_rat (numeral_numeral_rat W)) zero_zero_rat)))))))
% 1.39/1.61 FOF formula (forall (B:real) (C:real) (W:num), (((eq Prop) ((ord_less_real ((divide_divide_real B) C)) (numeral_numeral_real W))) ((and (((ord_less_real zero_zero_real) C)->((ord_less_real B) ((times_times_real (numeral_numeral_real W)) C)))) ((((ord_less_real zero_zero_real) C)->False)->((and (((ord_less_real C) zero_zero_real)->((ord_less_real ((times_times_real (numeral_numeral_real W)) C)) B))) ((((ord_less_real C) zero_zero_real)->False)->((ord_less_real zero_zero_real) (numeral_numeral_real W)))))))) of role axiom named fact_234_divide__less__eq__numeral_I1_J
% 1.39/1.62 A new axiom: (forall (B:real) (C:real) (W:num), (((eq Prop) ((ord_less_real ((divide_divide_real B) C)) (numeral_numeral_real W))) ((and (((ord_less_real zero_zero_real) C)->((ord_less_real B) ((times_times_real (numeral_numeral_real W)) C)))) ((((ord_less_real zero_zero_real) C)->False)->((and (((ord_less_real C) zero_zero_real)->((ord_less_real ((times_times_real (numeral_numeral_real W)) C)) B))) ((((ord_less_real C) zero_zero_real)->False)->((ord_less_real zero_zero_real) (numeral_numeral_real W))))))))
% 1.39/1.62 FOF formula (forall (B:rat) (C:rat) (W:num), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) C)) (numeral_numeral_rat W))) ((and (((ord_less_rat zero_zero_rat) C)->((ord_less_rat B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((ord_less_rat zero_zero_rat) C)->False)->((and (((ord_less_rat C) zero_zero_rat)->((ord_less_rat ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((ord_less_rat C) zero_zero_rat)->False)->((ord_less_rat zero_zero_rat) (numeral_numeral_rat W)))))))) of role axiom named fact_235_divide__less__eq__numeral_I1_J
% 1.39/1.62 A new axiom: (forall (B:rat) (C:rat) (W:num), (((eq Prop) ((ord_less_rat ((divide_divide_rat B) C)) (numeral_numeral_rat W))) ((and (((ord_less_rat zero_zero_rat) C)->((ord_less_rat B) ((times_times_rat (numeral_numeral_rat W)) C)))) ((((ord_less_rat zero_zero_rat) C)->False)->((and (((ord_less_rat C) zero_zero_rat)->((ord_less_rat ((times_times_rat (numeral_numeral_rat W)) C)) B))) ((((ord_less_rat C) zero_zero_rat)->False)->((ord_less_rat zero_zero_rat) (numeral_numeral_rat W))))))))
% 1.39/1.62 FOF formula (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat (bit0 one)))) zero_zero_nat) of role axiom named fact_236_zero__power2
% 1.39/1.62 A new axiom: (((eq nat) ((power_power_nat zero_zero_nat) (numeral_numeral_nat (bit0 one)))) zero_zero_nat)
% 1.39/1.62 FOF formula (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat (bit0 one)))) zero_zero_real) of role axiom named fact_237_zero__power2
% 1.39/1.62 A new axiom: (((eq real) ((power_power_real zero_zero_real) (numeral_numeral_nat (bit0 one)))) zero_zero_real)
% 1.39/1.62 FOF formula (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat (bit0 one)))) zero_zero_int) of role axiom named fact_238_zero__power2
% 1.39/1.62 A new axiom: (((eq int) ((power_power_int zero_zero_int) (numeral_numeral_nat (bit0 one)))) zero_zero_int)
% 1.39/1.62 FOF formula (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat (bit0 one)))) zero_zero_complex) of role axiom named fact_239_zero__power2
% 1.39/1.62 A new axiom: (((eq complex) ((power_power_complex zero_zero_complex) (numeral_numeral_nat (bit0 one)))) zero_zero_complex)
% 1.39/1.62 FOF formula (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger) of role axiom named fact_240_zero__power2
% 1.39/1.62 A new axiom: (((eq code_integer) ((power_8256067586552552935nteger zero_z3403309356797280102nteger) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger)
% 1.39/1.62 FOF formula (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat (bit0 one)))) zero_zero_rat) of role axiom named fact_241_zero__power2
% 1.39/1.62 A new axiom: (((eq rat) ((power_power_rat zero_zero_rat) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)
% 1.39/1.62 FOF formula (forall (A:complex), (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) ((times_times_complex A) A))) of role axiom named fact_242_power2__eq__square
% 1.39/1.62 A new axiom: (forall (A:complex), (((eq complex) ((power_power_complex A) (numeral_numeral_nat (bit0 one)))) ((times_times_complex A) A)))
% 1.39/1.62 FOF formula (forall (A:code_integer), (((eq code_integer) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) ((times_3573771949741848930nteger A) A))) of role axiom named fact_243_power2__eq__square
% 1.39/1.64 A new axiom: (forall (A:code_integer), (((eq code_integer) ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) ((times_3573771949741848930nteger A) A)))
% 1.39/1.64 FOF formula (forall (A:real), (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) ((times_times_real A) A))) of role axiom named fact_244_power2__eq__square
% 1.39/1.64 A new axiom: (forall (A:real), (((eq real) ((power_power_real A) (numeral_numeral_nat (bit0 one)))) ((times_times_real A) A)))
% 1.39/1.64 FOF formula (forall (A:rat), (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) ((times_times_rat A) A))) of role axiom named fact_245_power2__eq__square
% 1.39/1.64 A new axiom: (forall (A:rat), (((eq rat) ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) ((times_times_rat A) A)))
% 1.39/1.64 FOF formula (forall (A:nat), (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) ((times_times_nat A) A))) of role axiom named fact_246_power2__eq__square
% 1.39/1.64 A new axiom: (forall (A:nat), (((eq nat) ((power_power_nat A) (numeral_numeral_nat (bit0 one)))) ((times_times_nat A) A)))
% 1.39/1.64 FOF formula (forall (A:int), (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) ((times_times_int A) A))) of role axiom named fact_247_power2__eq__square
% 1.39/1.64 A new axiom: (forall (A:int), (((eq int) ((power_power_int A) (numeral_numeral_nat (bit0 one)))) ((times_times_int A) A)))
% 1.39/1.64 FOF formula (forall (X:complex), (((eq complex) ((power_power_complex X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_complex ((times_times_complex ((times_times_complex X) X)) X)) X))) of role axiom named fact_248_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:complex), (((eq complex) ((power_power_complex X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_complex ((times_times_complex ((times_times_complex X) X)) X)) X)))
% 1.39/1.64 FOF formula (forall (X:code_integer), (((eq code_integer) ((power_8256067586552552935nteger X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_3573771949741848930nteger ((times_3573771949741848930nteger ((times_3573771949741848930nteger X) X)) X)) X))) of role axiom named fact_249_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:code_integer), (((eq code_integer) ((power_8256067586552552935nteger X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_3573771949741848930nteger ((times_3573771949741848930nteger ((times_3573771949741848930nteger X) X)) X)) X)))
% 1.39/1.64 FOF formula (forall (X:real), (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_real ((times_times_real ((times_times_real X) X)) X)) X))) of role axiom named fact_250_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:real), (((eq real) ((power_power_real X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_real ((times_times_real ((times_times_real X) X)) X)) X)))
% 1.39/1.64 FOF formula (forall (X:rat), (((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_rat ((times_times_rat ((times_times_rat X) X)) X)) X))) of role axiom named fact_251_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:rat), (((eq rat) ((power_power_rat X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_rat ((times_times_rat ((times_times_rat X) X)) X)) X)))
% 1.39/1.64 FOF formula (forall (X:nat), (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_nat ((times_times_nat ((times_times_nat X) X)) X)) X))) of role axiom named fact_252_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:nat), (((eq nat) ((power_power_nat X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_nat ((times_times_nat ((times_times_nat X) X)) X)) X)))
% 1.39/1.64 FOF formula (forall (X:int), (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_int ((times_times_int ((times_times_int X) X)) X)) X))) of role axiom named fact_253_power4__eq__xxxx
% 1.39/1.64 A new axiom: (forall (X:int), (((eq int) ((power_power_int X) (numeral_numeral_nat (bit0 (bit0 one))))) ((times_times_int ((times_times_int ((times_times_int X) X)) X)) X)))
% 1.39/1.64 FOF formula (((eq nat) (numeral_numeral_nat (bit0 one))) (suc (suc zero_zero_nat))) of role axiom named fact_254_numeral__2__eq__2
% 1.46/1.66 A new axiom: (((eq nat) (numeral_numeral_nat (bit0 one))) (suc (suc zero_zero_nat)))
% 1.46/1.66 FOF formula (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_nat ((power_power_nat A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_255_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_nat ((power_power_nat A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:real) (N:nat), (((eq real) ((power_power_real A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_real ((power_power_real A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_256_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:real) (N:nat), (((eq real) ((power_power_real A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_real ((power_power_real A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:int) (N:nat), (((eq int) ((power_power_int A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_int ((power_power_int A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_257_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:int) (N:nat), (((eq int) ((power_power_int A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_int ((power_power_int A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_complex ((power_power_complex A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_258_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_complex ((power_power_complex A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_259_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_rat ((power_power_rat A) N)) (numeral_numeral_nat (bit0 one))))) of role axiom named fact_260_power__even__eq
% 1.46/1.66 A new axiom: (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) ((times_times_nat (numeral_numeral_nat (bit0 one))) N))) ((power_power_rat ((power_power_rat A) N)) (numeral_numeral_nat (bit0 one)))))
% 1.46/1.66 FOF formula (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((divide_divide_real A) (numeral_numeral_real (bit0 one))))) ((ord_less_real zero_zero_real) A))) of role axiom named fact_261_half__gt__zero__iff
% 1.46/1.66 A new axiom: (forall (A:real), (((eq Prop) ((ord_less_real zero_zero_real) ((divide_divide_real A) (numeral_numeral_real (bit0 one))))) ((ord_less_real zero_zero_real) A)))
% 1.46/1.66 FOF formula (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((divide_divide_rat A) (numeral_numeral_rat (bit0 one))))) ((ord_less_rat zero_zero_rat) A))) of role axiom named fact_262_half__gt__zero__iff
% 1.46/1.66 A new axiom: (forall (A:rat), (((eq Prop) ((ord_less_rat zero_zero_rat) ((divide_divide_rat A) (numeral_numeral_rat (bit0 one))))) ((ord_less_rat zero_zero_rat) A)))
% 1.46/1.66 FOF formula (forall (A:real), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((divide_divide_real A) (numeral_numeral_real (bit0 one)))))) of role axiom named fact_263_half__gt__zero
% 1.46/1.66 A new axiom: (forall (A:real), (((ord_less_real zero_zero_real) A)->((ord_less_real zero_zero_real) ((divide_divide_real A) (numeral_numeral_real (bit0 one))))))
% 1.49/1.67 FOF formula (forall (A:rat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((divide_divide_rat A) (numeral_numeral_rat (bit0 one)))))) of role axiom named fact_264_half__gt__zero
% 1.49/1.67 A new axiom: (forall (A:rat), (((ord_less_rat zero_zero_rat) A)->((ord_less_rat zero_zero_rat) ((divide_divide_rat A) (numeral_numeral_rat (bit0 one))))))
% 1.49/1.67 FOF formula (forall (A:real), (((ord_less_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)->False)) of role axiom named fact_265_power2__less__0
% 1.49/1.67 A new axiom: (forall (A:real), (((ord_less_real ((power_power_real A) (numeral_numeral_nat (bit0 one)))) zero_zero_real)->False))
% 1.49/1.67 FOF formula (forall (A:rat), (((ord_less_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)->False)) of role axiom named fact_266_power2__less__0
% 1.49/1.67 A new axiom: (forall (A:rat), (((ord_less_rat ((power_power_rat A) (numeral_numeral_nat (bit0 one)))) zero_zero_rat)->False))
% 1.49/1.67 FOF formula (forall (A:int), (((ord_less_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)->False)) of role axiom named fact_267_power2__less__0
% 1.49/1.67 A new axiom: (forall (A:int), (((ord_less_int ((power_power_int A) (numeral_numeral_nat (bit0 one)))) zero_zero_int)->False))
% 1.49/1.67 FOF formula (forall (A:code_integer), (((ord_le6747313008572928689nteger ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger)->False)) of role axiom named fact_268_power2__less__0
% 1.49/1.67 A new axiom: (forall (A:code_integer), (((ord_le6747313008572928689nteger ((power_8256067586552552935nteger A) (numeral_numeral_nat (bit0 one)))) zero_z3403309356797280102nteger)->False))
% 1.49/1.67 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_nat N) (numeral_numeral_nat (bit0 one)))) ((or (((eq nat) N) zero_zero_nat)) (((eq nat) N) (suc zero_zero_nat))))) of role axiom named fact_269_less__2__cases__iff
% 1.49/1.67 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_nat N) (numeral_numeral_nat (bit0 one)))) ((or (((eq nat) N) zero_zero_nat)) (((eq nat) N) (suc zero_zero_nat)))))
% 1.49/1.67 FOF formula (forall (N:nat), (((ord_less_nat N) (numeral_numeral_nat (bit0 one)))->((or (((eq nat) N) zero_zero_nat)) (((eq nat) N) (suc zero_zero_nat))))) of role axiom named fact_270_less__2__cases
% 1.49/1.67 A new axiom: (forall (N:nat), (((ord_less_nat N) (numeral_numeral_nat (bit0 one)))->((or (((eq nat) N) zero_zero_nat)) (((eq nat) N) (suc zero_zero_nat)))))
% 1.49/1.67 FOF formula (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_complex A) ((power_power_complex ((power_power_complex A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_271_power__odd__eq
% 1.49/1.67 A new axiom: (forall (A:complex) (N:nat), (((eq complex) ((power_power_complex A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_complex A) ((power_power_complex ((power_power_complex A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.67 FOF formula (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_272_power__odd__eq
% 1.49/1.67 A new axiom: (forall (A:code_integer) (N:nat), (((eq code_integer) ((power_8256067586552552935nteger A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_3573771949741848930nteger A) ((power_8256067586552552935nteger ((power_8256067586552552935nteger A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.67 FOF formula (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_real A) ((power_power_real ((power_power_real A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_273_power__odd__eq
% 1.49/1.67 A new axiom: (forall (A:real) (N:nat), (((eq real) ((power_power_real A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_real A) ((power_power_real ((power_power_real A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_rat A) ((power_power_rat ((power_power_rat A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_274_power__odd__eq
% 1.49/1.69 A new axiom: (forall (A:rat) (N:nat), (((eq rat) ((power_power_rat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_rat A) ((power_power_rat ((power_power_rat A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_nat A) ((power_power_nat ((power_power_nat A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_275_power__odd__eq
% 1.49/1.69 A new axiom: (forall (A:nat) (N:nat), (((eq nat) ((power_power_nat A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_nat A) ((power_power_nat ((power_power_nat A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_int A) ((power_power_int ((power_power_int A) N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_276_power__odd__eq
% 1.49/1.69 A new axiom: (forall (A:int) (N:nat), (((eq int) ((power_power_int A) (suc ((times_times_nat (numeral_numeral_nat (bit0 one))) N)))) ((times_times_int A) ((power_power_int ((power_power_int A) N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->((ord_less_nat zero_zero_nat) ((divide_divide_nat (suc N)) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_277_Suc__n__div__2__gt__zero
% 1.49/1.69 A new axiom: (forall (N:nat), (((ord_less_nat zero_zero_nat) N)->((ord_less_nat zero_zero_nat) ((divide_divide_nat (suc N)) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (N:nat), (((ord_less_nat (suc zero_zero_nat)) N)->((ord_less_nat zero_zero_nat) ((divide_divide_nat N) (numeral_numeral_nat (bit0 one)))))) of role axiom named fact_278_div__2__gt__zero
% 1.49/1.69 A new axiom: (forall (N:nat), (((ord_less_nat (suc zero_zero_nat)) N)->((ord_less_nat zero_zero_nat) ((divide_divide_nat N) (numeral_numeral_nat (bit0 one))))))
% 1.49/1.69 FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((times_times_nat M) N))) ((and ((ord_less_nat zero_zero_nat) M)) ((ord_less_nat zero_zero_nat) N)))) of role axiom named fact_279_nat__0__less__mult__iff
% 1.49/1.69 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat zero_zero_nat) ((times_times_nat M) N))) ((and ((ord_less_nat zero_zero_nat) M)) ((ord_less_nat zero_zero_nat) N))))
% 1.49/1.69 FOF formula (forall (M:nat) (K:nat) (N:nat), (((eq Prop) ((ord_less_nat ((times_times_nat M) K)) ((times_times_nat N) K))) ((and ((ord_less_nat zero_zero_nat) K)) ((ord_less_nat M) N)))) of role axiom named fact_280_mult__less__cancel2
% 1.49/1.69 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((eq Prop) ((ord_less_nat ((times_times_nat M) K)) ((times_times_nat N) K))) ((and ((ord_less_nat zero_zero_nat) K)) ((ord_less_nat M) N))))
% 1.49/1.69 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) (suc zero_zero_nat)) ((times_times_nat M) N))) ((and (((eq nat) M) (suc zero_zero_nat))) (((eq nat) N) (suc zero_zero_nat))))) of role axiom named fact_281_one__eq__mult__iff
% 1.49/1.69 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) (suc zero_zero_nat)) ((times_times_nat M) N))) ((and (((eq nat) M) (suc zero_zero_nat))) (((eq nat) N) (suc zero_zero_nat)))))
% 1.49/1.69 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) (suc zero_zero_nat))) ((and (((eq nat) M) (suc zero_zero_nat))) (((eq nat) N) (suc zero_zero_nat))))) of role axiom named fact_282_mult__eq__1__iff
% 1.49/1.69 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) (suc zero_zero_nat))) ((and (((eq nat) M) (suc zero_zero_nat))) (((eq nat) N) (suc zero_zero_nat)))))
% 1.49/1.71 FOF formula (forall (N:nat), ((ord_less_nat zero_zero_nat) (suc N))) of role axiom named fact_283_zero__less__Suc
% 1.49/1.71 A new axiom: (forall (N:nat), ((ord_less_nat zero_zero_nat) (suc N)))
% 1.49/1.71 FOF formula (forall (N:nat), (((eq Prop) ((ord_less_nat N) (suc zero_zero_nat))) (((eq nat) N) zero_zero_nat))) of role axiom named fact_284_less__Suc0
% 1.49/1.71 A new axiom: (forall (N:nat), (((eq Prop) ((ord_less_nat N) (suc zero_zero_nat))) (((eq nat) N) zero_zero_nat)))
% 1.49/1.71 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) C)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B)))) of role axiom named fact_285_nonzero__mult__divide__mult__cancel__right2
% 1.49/1.71 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) C)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B))))
% 1.49/1.71 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) C)) ((times_times_real C) B))) ((divide_divide_real A) B)))) of role axiom named fact_286_nonzero__mult__divide__mult__cancel__right2
% 1.49/1.71 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) C)) ((times_times_real C) B))) ((divide_divide_real A) B))))
% 1.49/1.71 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) C)) ((times_times_rat C) B))) ((divide_divide_rat A) B)))) of role axiom named fact_287_nonzero__mult__divide__mult__cancel__right2
% 1.49/1.71 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) C)) ((times_times_rat C) B))) ((divide_divide_rat A) B))))
% 1.49/1.71 FOF formula (forall (B:code_integer) (A:code_integer), ((not (((eq code_integer) B) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) B)) B)) A))) of role axiom named fact_288_nonzero__mult__div__cancel__right
% 1.49/1.71 A new axiom: (forall (B:code_integer) (A:code_integer), ((not (((eq code_integer) B) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) B)) B)) A)))
% 1.49/1.71 FOF formula (forall (B:complex) (A:complex), ((not (((eq complex) B) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) B)) B)) A))) of role axiom named fact_289_nonzero__mult__div__cancel__right
% 1.49/1.71 A new axiom: (forall (B:complex) (A:complex), ((not (((eq complex) B) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) B)) B)) A)))
% 1.49/1.71 FOF formula (forall (B:real) (A:real), ((not (((eq real) B) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) B)) B)) A))) of role axiom named fact_290_nonzero__mult__div__cancel__right
% 1.49/1.71 A new axiom: (forall (B:real) (A:real), ((not (((eq real) B) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) B)) B)) A)))
% 1.49/1.71 FOF formula (forall (B:rat) (A:rat), ((not (((eq rat) B) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) B)) B)) A))) of role axiom named fact_291_nonzero__mult__div__cancel__right
% 1.49/1.71 A new axiom: (forall (B:rat) (A:rat), ((not (((eq rat) B) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) B)) B)) A)))
% 1.49/1.71 FOF formula (forall (B:nat) (A:nat), ((not (((eq nat) B) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) B)) B)) A))) of role axiom named fact_292_nonzero__mult__div__cancel__right
% 1.49/1.71 A new axiom: (forall (B:nat) (A:nat), ((not (((eq nat) B) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) B)) B)) A)))
% 1.49/1.71 FOF formula (forall (B:int) (A:int), ((not (((eq int) B) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) B)) B)) A))) of role axiom named fact_293_nonzero__mult__div__cancel__right
% 1.49/1.73 A new axiom: (forall (B:int) (A:int), ((not (((eq int) B) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) B)) B)) A)))
% 1.49/1.73 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) C)) ((times_times_complex B) C))) ((divide1717551699836669952omplex A) B)))) of role axiom named fact_294_nonzero__mult__divide__mult__cancel__right
% 1.49/1.73 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) C)) ((times_times_complex B) C))) ((divide1717551699836669952omplex A) B))))
% 1.49/1.73 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) C)) ((times_times_real B) C))) ((divide_divide_real A) B)))) of role axiom named fact_295_nonzero__mult__divide__mult__cancel__right
% 1.49/1.73 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) C)) ((times_times_real B) C))) ((divide_divide_real A) B))))
% 1.49/1.73 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) C)) ((times_times_rat B) C))) ((divide_divide_rat A) B)))) of role axiom named fact_296_nonzero__mult__divide__mult__cancel__right
% 1.49/1.73 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) C)) ((times_times_rat B) C))) ((divide_divide_rat A) B))))
% 1.49/1.73 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex B) C))) ((divide1717551699836669952omplex A) B)))) of role axiom named fact_297_nonzero__mult__divide__mult__cancel__left2
% 1.49/1.73 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex B) C))) ((divide1717551699836669952omplex A) B))))
% 1.49/1.73 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real B) C))) ((divide_divide_real A) B)))) of role axiom named fact_298_nonzero__mult__divide__mult__cancel__left2
% 1.49/1.73 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real B) C))) ((divide_divide_real A) B))))
% 1.49/1.73 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat B) C))) ((divide_divide_rat A) B)))) of role axiom named fact_299_nonzero__mult__divide__mult__cancel__left2
% 1.49/1.73 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat B) C))) ((divide_divide_rat A) B))))
% 1.49/1.73 FOF formula (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) B)) A)) B))) of role axiom named fact_300_nonzero__mult__div__cancel__left
% 1.49/1.73 A new axiom: (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->(((eq code_integer) ((divide6298287555418463151nteger ((times_3573771949741848930nteger A) B)) A)) B)))
% 1.49/1.73 FOF formula (forall (A:complex) (B:complex), ((not (((eq complex) A) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) B)) A)) B))) of role axiom named fact_301_nonzero__mult__div__cancel__left
% 1.49/1.73 A new axiom: (forall (A:complex) (B:complex), ((not (((eq complex) A) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex A) B)) A)) B)))
% 1.55/1.75 FOF formula (forall (A:real) (B:real), ((not (((eq real) A) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) B)) A)) B))) of role axiom named fact_302_nonzero__mult__div__cancel__left
% 1.55/1.75 A new axiom: (forall (A:real) (B:real), ((not (((eq real) A) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real A) B)) A)) B)))
% 1.55/1.75 FOF formula (forall (A:rat) (B:rat), ((not (((eq rat) A) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) B)) A)) B))) of role axiom named fact_303_nonzero__mult__div__cancel__left
% 1.55/1.75 A new axiom: (forall (A:rat) (B:rat), ((not (((eq rat) A) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat A) B)) A)) B)))
% 1.55/1.75 FOF formula (forall (A:nat) (B:nat), ((not (((eq nat) A) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) B)) A)) B))) of role axiom named fact_304_nonzero__mult__div__cancel__left
% 1.55/1.75 A new axiom: (forall (A:nat) (B:nat), ((not (((eq nat) A) zero_zero_nat))->(((eq nat) ((divide_divide_nat ((times_times_nat A) B)) A)) B)))
% 1.55/1.75 FOF formula (forall (A:int) (B:int), ((not (((eq int) A) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) B)) A)) B))) of role axiom named fact_305_nonzero__mult__div__cancel__left
% 1.55/1.75 A new axiom: (forall (A:int) (B:int), ((not (((eq int) A) zero_zero_int))->(((eq int) ((divide_divide_int ((times_times_int A) B)) A)) B)))
% 1.55/1.75 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B)))) of role axiom named fact_306_nonzero__mult__divide__mult__cancel__left
% 1.55/1.75 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B))))
% 1.55/1.75 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) ((divide_divide_real A) B)))) of role axiom named fact_307_nonzero__mult__divide__mult__cancel__left
% 1.55/1.75 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) ((divide_divide_real A) B))))
% 1.55/1.75 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) ((divide_divide_rat A) B)))) of role axiom named fact_308_nonzero__mult__divide__mult__cancel__left
% 1.55/1.75 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) ((divide_divide_rat A) B))))
% 1.55/1.75 FOF formula (forall (X22:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X22)) (suc Y2))) (((eq nat) X22) Y2))) of role axiom named fact_309_nat_Oinject
% 1.55/1.75 A new axiom: (forall (X22:nat) (Y2:nat), (((eq Prop) (((eq nat) (suc X22)) (suc Y2))) (((eq nat) X22) Y2)))
% 1.55/1.75 FOF formula (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2))) of role axiom named fact_310_old_Onat_Oinject
% 1.55/1.75 A new axiom: (forall (Nat:nat) (Nat2:nat), (((eq Prop) (((eq nat) (suc Nat)) (suc Nat2))) (((eq nat) Nat) Nat2)))
% 1.55/1.75 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex zero_zero_complex) A)) zero_zero_complex)) of role axiom named fact_311_mult__zero__left
% 1.55/1.75 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex zero_zero_complex) A)) zero_zero_complex))
% 1.55/1.75 FOF formula (forall (A:code_integer), (((eq code_integer) ((times_3573771949741848930nteger zero_z3403309356797280102nteger) A)) zero_z3403309356797280102nteger)) of role axiom named fact_312_mult__zero__left
% 1.55/1.75 A new axiom: (forall (A:code_integer), (((eq code_integer) ((times_3573771949741848930nteger zero_z3403309356797280102nteger) A)) zero_z3403309356797280102nteger))
% 1.58/1.77 FOF formula (forall (A:real), (((eq real) ((times_times_real zero_zero_real) A)) zero_zero_real)) of role axiom named fact_313_mult__zero__left
% 1.58/1.77 A new axiom: (forall (A:real), (((eq real) ((times_times_real zero_zero_real) A)) zero_zero_real))
% 1.58/1.77 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat zero_zero_rat) A)) zero_zero_rat)) of role axiom named fact_314_mult__zero__left
% 1.58/1.77 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat zero_zero_rat) A)) zero_zero_rat))
% 1.58/1.77 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat zero_zero_nat) A)) zero_zero_nat)) of role axiom named fact_315_mult__zero__left
% 1.58/1.77 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat zero_zero_nat) A)) zero_zero_nat))
% 1.58/1.77 FOF formula (forall (A:int), (((eq int) ((times_times_int zero_zero_int) A)) zero_zero_int)) of role axiom named fact_316_mult__zero__left
% 1.58/1.77 A new axiom: (forall (A:int), (((eq int) ((times_times_int zero_zero_int) A)) zero_zero_int))
% 1.58/1.77 FOF formula (forall (A:complex), (((eq complex) ((times_times_complex A) zero_zero_complex)) zero_zero_complex)) of role axiom named fact_317_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:complex), (((eq complex) ((times_times_complex A) zero_zero_complex)) zero_zero_complex))
% 1.58/1.77 FOF formula (forall (A:code_integer), (((eq code_integer) ((times_3573771949741848930nteger A) zero_z3403309356797280102nteger)) zero_z3403309356797280102nteger)) of role axiom named fact_318_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:code_integer), (((eq code_integer) ((times_3573771949741848930nteger A) zero_z3403309356797280102nteger)) zero_z3403309356797280102nteger))
% 1.58/1.77 FOF formula (forall (A:real), (((eq real) ((times_times_real A) zero_zero_real)) zero_zero_real)) of role axiom named fact_319_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:real), (((eq real) ((times_times_real A) zero_zero_real)) zero_zero_real))
% 1.58/1.77 FOF formula (forall (A:rat), (((eq rat) ((times_times_rat A) zero_zero_rat)) zero_zero_rat)) of role axiom named fact_320_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:rat), (((eq rat) ((times_times_rat A) zero_zero_rat)) zero_zero_rat))
% 1.58/1.77 FOF formula (forall (A:nat), (((eq nat) ((times_times_nat A) zero_zero_nat)) zero_zero_nat)) of role axiom named fact_321_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:nat), (((eq nat) ((times_times_nat A) zero_zero_nat)) zero_zero_nat))
% 1.58/1.77 FOF formula (forall (A:int), (((eq int) ((times_times_int A) zero_zero_int)) zero_zero_int)) of role axiom named fact_322_mult__zero__right
% 1.58/1.77 A new axiom: (forall (A:int), (((eq int) ((times_times_int A) zero_zero_int)) zero_zero_int))
% 1.58/1.77 FOF formula (forall (A:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex A) B)) zero_zero_complex)) ((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex)))) of role axiom named fact_323_mult__eq__0__iff
% 1.58/1.77 A new axiom: (forall (A:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex A) B)) zero_zero_complex)) ((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex))))
% 1.58/1.77 FOF formula (forall (A:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger)) ((or (((eq code_integer) A) zero_z3403309356797280102nteger)) (((eq code_integer) B) zero_z3403309356797280102nteger)))) of role axiom named fact_324_mult__eq__0__iff
% 1.58/1.77 A new axiom: (forall (A:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger)) ((or (((eq code_integer) A) zero_z3403309356797280102nteger)) (((eq code_integer) B) zero_z3403309356797280102nteger))))
% 1.58/1.77 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) ((times_times_real A) B)) zero_zero_real)) ((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real)))) of role axiom named fact_325_mult__eq__0__iff
% 1.58/1.77 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) ((times_times_real A) B)) zero_zero_real)) ((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real))))
% 1.58/1.77 FOF formula (forall (A:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat A) B)) zero_zero_rat)) ((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat)))) of role axiom named fact_326_mult__eq__0__iff
% 1.58/1.78 A new axiom: (forall (A:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat A) B)) zero_zero_rat)) ((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat))))
% 1.58/1.78 FOF formula (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat A) B)) zero_zero_nat)) ((or (((eq nat) A) zero_zero_nat)) (((eq nat) B) zero_zero_nat)))) of role axiom named fact_327_mult__eq__0__iff
% 1.58/1.78 A new axiom: (forall (A:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat A) B)) zero_zero_nat)) ((or (((eq nat) A) zero_zero_nat)) (((eq nat) B) zero_zero_nat))))
% 1.58/1.78 FOF formula (forall (A:int) (B:int), (((eq Prop) (((eq int) ((times_times_int A) B)) zero_zero_int)) ((or (((eq int) A) zero_zero_int)) (((eq int) B) zero_zero_int)))) of role axiom named fact_328_mult__eq__0__iff
% 1.58/1.78 A new axiom: (forall (A:int) (B:int), (((eq Prop) (((eq int) ((times_times_int A) B)) zero_zero_int)) ((or (((eq int) A) zero_zero_int)) (((eq int) B) zero_zero_int))))
% 1.58/1.78 FOF formula (forall (C:complex) (A:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex C) A)) ((times_times_complex C) B))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B)))) of role axiom named fact_329_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:complex) (A:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex C) A)) ((times_times_complex C) B))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B))))
% 1.58/1.78 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((or (((eq code_integer) C) zero_z3403309356797280102nteger)) (((eq code_integer) A) B)))) of role axiom named fact_330_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) ((or (((eq code_integer) C) zero_z3403309356797280102nteger)) (((eq code_integer) A) B))))
% 1.58/1.78 FOF formula (forall (C:real) (A:real) (B:real), (((eq Prop) (((eq real) ((times_times_real C) A)) ((times_times_real C) B))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B)))) of role axiom named fact_331_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:real) (A:real) (B:real), (((eq Prop) (((eq real) ((times_times_real C) A)) ((times_times_real C) B))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B))))
% 1.58/1.78 FOF formula (forall (C:rat) (A:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat C) A)) ((times_times_rat C) B))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B)))) of role axiom named fact_332_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:rat) (A:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat C) A)) ((times_times_rat C) B))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B))))
% 1.58/1.78 FOF formula (forall (C:nat) (A:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat C) A)) ((times_times_nat C) B))) ((or (((eq nat) C) zero_zero_nat)) (((eq nat) A) B)))) of role axiom named fact_333_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:nat) (A:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat C) A)) ((times_times_nat C) B))) ((or (((eq nat) C) zero_zero_nat)) (((eq nat) A) B))))
% 1.58/1.78 FOF formula (forall (C:int) (A:int) (B:int), (((eq Prop) (((eq int) ((times_times_int C) A)) ((times_times_int C) B))) ((or (((eq int) C) zero_zero_int)) (((eq int) A) B)))) of role axiom named fact_334_mult__cancel__left
% 1.58/1.78 A new axiom: (forall (C:int) (A:int) (B:int), (((eq Prop) (((eq int) ((times_times_int C) A)) ((times_times_int C) B))) ((or (((eq int) C) zero_zero_int)) (((eq int) A) B))))
% 1.58/1.78 FOF formula (forall (A:complex) (C:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex A) C)) ((times_times_complex B) C))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B)))) of role axiom named fact_335_mult__cancel__right
% 1.58/1.78 A new axiom: (forall (A:complex) (C:complex) (B:complex), (((eq Prop) (((eq complex) ((times_times_complex A) C)) ((times_times_complex B) C))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B))))
% 1.58/1.80 FOF formula (forall (A:code_integer) (C:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) ((or (((eq code_integer) C) zero_z3403309356797280102nteger)) (((eq code_integer) A) B)))) of role axiom named fact_336_mult__cancel__right
% 1.58/1.80 A new axiom: (forall (A:code_integer) (C:code_integer) (B:code_integer), (((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) ((or (((eq code_integer) C) zero_z3403309356797280102nteger)) (((eq code_integer) A) B))))
% 1.58/1.80 FOF formula (forall (A:real) (C:real) (B:real), (((eq Prop) (((eq real) ((times_times_real A) C)) ((times_times_real B) C))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B)))) of role axiom named fact_337_mult__cancel__right
% 1.58/1.80 A new axiom: (forall (A:real) (C:real) (B:real), (((eq Prop) (((eq real) ((times_times_real A) C)) ((times_times_real B) C))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B))))
% 1.58/1.80 FOF formula (forall (A:rat) (C:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat A) C)) ((times_times_rat B) C))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B)))) of role axiom named fact_338_mult__cancel__right
% 1.58/1.80 A new axiom: (forall (A:rat) (C:rat) (B:rat), (((eq Prop) (((eq rat) ((times_times_rat A) C)) ((times_times_rat B) C))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B))))
% 1.58/1.80 FOF formula (forall (A:nat) (C:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat A) C)) ((times_times_nat B) C))) ((or (((eq nat) C) zero_zero_nat)) (((eq nat) A) B)))) of role axiom named fact_339_mult__cancel__right
% 1.58/1.80 A new axiom: (forall (A:nat) (C:nat) (B:nat), (((eq Prop) (((eq nat) ((times_times_nat A) C)) ((times_times_nat B) C))) ((or (((eq nat) C) zero_zero_nat)) (((eq nat) A) B))))
% 1.58/1.80 FOF formula (forall (A:int) (C:int) (B:int), (((eq Prop) (((eq int) ((times_times_int A) C)) ((times_times_int B) C))) ((or (((eq int) C) zero_zero_int)) (((eq int) A) B)))) of role axiom named fact_340_mult__cancel__right
% 1.58/1.80 A new axiom: (forall (A:int) (C:int) (B:int), (((eq Prop) (((eq int) ((times_times_int A) C)) ((times_times_int B) C))) ((or (((eq int) C) zero_zero_int)) (((eq int) A) B))))
% 1.58/1.80 FOF formula (forall (A:code_integer), (((eq code_integer) ((divide6298287555418463151nteger zero_z3403309356797280102nteger) A)) zero_z3403309356797280102nteger)) of role axiom named fact_341_div__0
% 1.58/1.80 A new axiom: (forall (A:code_integer), (((eq code_integer) ((divide6298287555418463151nteger zero_z3403309356797280102nteger) A)) zero_z3403309356797280102nteger))
% 1.58/1.80 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex zero_zero_complex) A)) zero_zero_complex)) of role axiom named fact_342_div__0
% 1.58/1.80 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex zero_zero_complex) A)) zero_zero_complex))
% 1.58/1.80 FOF formula (forall (A:real), (((eq real) ((divide_divide_real zero_zero_real) A)) zero_zero_real)) of role axiom named fact_343_div__0
% 1.58/1.80 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real zero_zero_real) A)) zero_zero_real))
% 1.58/1.80 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat zero_zero_rat) A)) zero_zero_rat)) of role axiom named fact_344_div__0
% 1.58/1.80 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat zero_zero_rat) A)) zero_zero_rat))
% 1.58/1.80 FOF formula (forall (A:nat), (((eq nat) ((divide_divide_nat zero_zero_nat) A)) zero_zero_nat)) of role axiom named fact_345_div__0
% 1.58/1.80 A new axiom: (forall (A:nat), (((eq nat) ((divide_divide_nat zero_zero_nat) A)) zero_zero_nat))
% 1.58/1.80 FOF formula (forall (A:int), (((eq int) ((divide_divide_int zero_zero_int) A)) zero_zero_int)) of role axiom named fact_346_div__0
% 1.58/1.80 A new axiom: (forall (A:int), (((eq int) ((divide_divide_int zero_zero_int) A)) zero_zero_int))
% 1.58/1.80 FOF formula (forall (A:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex A) B)) zero_zero_complex)) ((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex)))) of role axiom named fact_347_divide__eq__0__iff
% 1.58/1.82 A new axiom: (forall (A:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex A) B)) zero_zero_complex)) ((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex))))
% 1.58/1.82 FOF formula (forall (A:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real A) B)) zero_zero_real)) ((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real)))) of role axiom named fact_348_divide__eq__0__iff
% 1.58/1.82 A new axiom: (forall (A:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real A) B)) zero_zero_real)) ((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real))))
% 1.58/1.82 FOF formula (forall (A:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat A) B)) zero_zero_rat)) ((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat)))) of role axiom named fact_349_divide__eq__0__iff
% 1.58/1.82 A new axiom: (forall (A:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat A) B)) zero_zero_rat)) ((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat))))
% 1.58/1.82 FOF formula (forall (A:code_integer), (((eq code_integer) ((divide6298287555418463151nteger A) zero_z3403309356797280102nteger)) zero_z3403309356797280102nteger)) of role axiom named fact_350_div__by__0
% 1.58/1.82 A new axiom: (forall (A:code_integer), (((eq code_integer) ((divide6298287555418463151nteger A) zero_z3403309356797280102nteger)) zero_z3403309356797280102nteger))
% 1.58/1.82 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) zero_zero_complex)) zero_zero_complex)) of role axiom named fact_351_div__by__0
% 1.58/1.82 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) zero_zero_complex)) zero_zero_complex))
% 1.58/1.82 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) zero_zero_real)) zero_zero_real)) of role axiom named fact_352_div__by__0
% 1.58/1.82 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) zero_zero_real)) zero_zero_real))
% 1.58/1.82 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) zero_zero_rat)) zero_zero_rat)) of role axiom named fact_353_div__by__0
% 1.58/1.82 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) zero_zero_rat)) zero_zero_rat))
% 1.58/1.82 FOF formula (forall (A:nat), (((eq nat) ((divide_divide_nat A) zero_zero_nat)) zero_zero_nat)) of role axiom named fact_354_div__by__0
% 1.58/1.82 A new axiom: (forall (A:nat), (((eq nat) ((divide_divide_nat A) zero_zero_nat)) zero_zero_nat))
% 1.58/1.82 FOF formula (forall (A:int), (((eq int) ((divide_divide_int A) zero_zero_int)) zero_zero_int)) of role axiom named fact_355_div__by__0
% 1.58/1.82 A new axiom: (forall (A:int), (((eq int) ((divide_divide_int A) zero_zero_int)) zero_zero_int))
% 1.58/1.82 FOF formula (forall (C:complex) (A:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex C) A)) ((divide1717551699836669952omplex C) B))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B)))) of role axiom named fact_356_divide__cancel__left
% 1.58/1.82 A new axiom: (forall (C:complex) (A:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex C) A)) ((divide1717551699836669952omplex C) B))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B))))
% 1.58/1.82 FOF formula (forall (C:real) (A:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real C) A)) ((divide_divide_real C) B))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B)))) of role axiom named fact_357_divide__cancel__left
% 1.58/1.82 A new axiom: (forall (C:real) (A:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real C) A)) ((divide_divide_real C) B))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B))))
% 1.58/1.82 FOF formula (forall (C:rat) (A:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat C) A)) ((divide_divide_rat C) B))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B)))) of role axiom named fact_358_divide__cancel__left
% 1.58/1.82 A new axiom: (forall (C:rat) (A:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat C) A)) ((divide_divide_rat C) B))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B))))
% 1.65/1.84 FOF formula (forall (A:complex) (C:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex A) C)) ((divide1717551699836669952omplex B) C))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B)))) of role axiom named fact_359_divide__cancel__right
% 1.65/1.84 A new axiom: (forall (A:complex) (C:complex) (B:complex), (((eq Prop) (((eq complex) ((divide1717551699836669952omplex A) C)) ((divide1717551699836669952omplex B) C))) ((or (((eq complex) C) zero_zero_complex)) (((eq complex) A) B))))
% 1.65/1.84 FOF formula (forall (A:real) (C:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real A) C)) ((divide_divide_real B) C))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B)))) of role axiom named fact_360_divide__cancel__right
% 1.65/1.84 A new axiom: (forall (A:real) (C:real) (B:real), (((eq Prop) (((eq real) ((divide_divide_real A) C)) ((divide_divide_real B) C))) ((or (((eq real) C) zero_zero_real)) (((eq real) A) B))))
% 1.65/1.84 FOF formula (forall (A:rat) (C:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat A) C)) ((divide_divide_rat B) C))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B)))) of role axiom named fact_361_divide__cancel__right
% 1.65/1.84 A new axiom: (forall (A:rat) (C:rat) (B:rat), (((eq Prop) (((eq rat) ((divide_divide_rat A) C)) ((divide_divide_rat B) C))) ((or (((eq rat) C) zero_zero_rat)) (((eq rat) A) B))))
% 1.65/1.84 FOF formula (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) zero_zero_complex)) zero_zero_complex)) of role axiom named fact_362_division__ring__divide__zero
% 1.65/1.84 A new axiom: (forall (A:complex), (((eq complex) ((divide1717551699836669952omplex A) zero_zero_complex)) zero_zero_complex))
% 1.65/1.84 FOF formula (forall (A:real), (((eq real) ((divide_divide_real A) zero_zero_real)) zero_zero_real)) of role axiom named fact_363_division__ring__divide__zero
% 1.65/1.84 A new axiom: (forall (A:real), (((eq real) ((divide_divide_real A) zero_zero_real)) zero_zero_real))
% 1.65/1.84 FOF formula (forall (A:rat), (((eq rat) ((divide_divide_rat A) zero_zero_rat)) zero_zero_rat)) of role axiom named fact_364_division__ring__divide__zero
% 1.65/1.84 A new axiom: (forall (A:rat), (((eq rat) ((divide_divide_rat A) zero_zero_rat)) zero_zero_rat))
% 1.65/1.84 FOF formula (forall (B:complex) (C:complex) (A:complex), (((eq complex) ((times_times_complex ((divide1717551699836669952omplex B) C)) A)) ((divide1717551699836669952omplex ((times_times_complex B) A)) C))) of role axiom named fact_365_times__divide__eq__left
% 1.65/1.84 A new axiom: (forall (B:complex) (C:complex) (A:complex), (((eq complex) ((times_times_complex ((divide1717551699836669952omplex B) C)) A)) ((divide1717551699836669952omplex ((times_times_complex B) A)) C)))
% 1.65/1.84 FOF formula (forall (B:real) (C:real) (A:real), (((eq real) ((times_times_real ((divide_divide_real B) C)) A)) ((divide_divide_real ((times_times_real B) A)) C))) of role axiom named fact_366_times__divide__eq__left
% 1.65/1.84 A new axiom: (forall (B:real) (C:real) (A:real), (((eq real) ((times_times_real ((divide_divide_real B) C)) A)) ((divide_divide_real ((times_times_real B) A)) C)))
% 1.65/1.84 FOF formula (forall (B:rat) (C:rat) (A:rat), (((eq rat) ((times_times_rat ((divide_divide_rat B) C)) A)) ((divide_divide_rat ((times_times_rat B) A)) C))) of role axiom named fact_367_times__divide__eq__left
% 1.65/1.84 A new axiom: (forall (B:rat) (C:rat) (A:rat), (((eq rat) ((times_times_rat ((divide_divide_rat B) C)) A)) ((divide_divide_rat ((times_times_rat B) A)) C)))
% 1.65/1.84 FOF formula (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex A) B)) C)) ((divide1717551699836669952omplex A) ((times_times_complex B) C)))) of role axiom named fact_368_divide__divide__eq__left
% 1.65/1.84 A new axiom: (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex A) B)) C)) ((divide1717551699836669952omplex A) ((times_times_complex B) C))))
% 1.65/1.84 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real ((divide_divide_real A) B)) C)) ((divide_divide_real A) ((times_times_real B) C)))) of role axiom named fact_369_divide__divide__eq__left
% 1.68/1.86 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real ((divide_divide_real A) B)) C)) ((divide_divide_real A) ((times_times_real B) C))))
% 1.68/1.86 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat A) B)) C)) ((divide_divide_rat A) ((times_times_rat B) C)))) of role axiom named fact_370_divide__divide__eq__left
% 1.68/1.86 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat A) B)) C)) ((divide_divide_rat A) ((times_times_rat B) C))))
% 1.68/1.86 FOF formula (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex A) ((divide1717551699836669952omplex B) C))) ((divide1717551699836669952omplex ((times_times_complex A) C)) B))) of role axiom named fact_371_divide__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex A) ((divide1717551699836669952omplex B) C))) ((divide1717551699836669952omplex ((times_times_complex A) C)) B)))
% 1.68/1.86 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real A) ((divide_divide_real B) C))) ((divide_divide_real ((times_times_real A) C)) B))) of role axiom named fact_372_divide__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real A) ((divide_divide_real B) C))) ((divide_divide_real ((times_times_real A) C)) B)))
% 1.68/1.86 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat A) ((divide_divide_rat B) C))) ((divide_divide_rat ((times_times_rat A) C)) B))) of role axiom named fact_373_divide__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat A) ((divide_divide_rat B) C))) ((divide_divide_rat ((times_times_rat A) C)) B)))
% 1.68/1.86 FOF formula (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((times_times_complex A) ((divide1717551699836669952omplex B) C))) ((divide1717551699836669952omplex ((times_times_complex A) B)) C))) of role axiom named fact_374_times__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((times_times_complex A) ((divide1717551699836669952omplex B) C))) ((divide1717551699836669952omplex ((times_times_complex A) B)) C)))
% 1.68/1.86 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((times_times_real A) ((divide_divide_real B) C))) ((divide_divide_real ((times_times_real A) B)) C))) of role axiom named fact_375_times__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((times_times_real A) ((divide_divide_real B) C))) ((divide_divide_real ((times_times_real A) B)) C)))
% 1.68/1.86 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((times_times_rat A) ((divide_divide_rat B) C))) ((divide_divide_rat ((times_times_rat A) B)) C))) of role axiom named fact_376_times__divide__eq__right
% 1.68/1.86 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((times_times_rat A) ((divide_divide_rat B) C))) ((divide_divide_rat ((times_times_rat A) B)) C)))
% 1.68/1.86 FOF formula (forall (N:nat), ((ord_less_nat N) (suc N))) of role axiom named fact_377_lessI
% 1.68/1.86 A new axiom: (forall (N:nat), ((ord_less_nat N) (suc N)))
% 1.68/1.86 FOF formula (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_nat (suc M)) (suc N)))) of role axiom named fact_378_Suc__mono
% 1.68/1.86 A new axiom: (forall (M:nat) (N:nat), (((ord_less_nat M) N)->((ord_less_nat (suc M)) (suc N))))
% 1.68/1.86 FOF formula (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat (suc M)) (suc N))) ((ord_less_nat M) N))) of role axiom named fact_379_Suc__less__eq
% 1.68/1.86 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) ((ord_less_nat (suc M)) (suc N))) ((ord_less_nat M) N)))
% 1.68/1.86 FOF formula (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A))) of role axiom named fact_380_bot__nat__0_Onot__eq__extremum
% 1.68/1.86 A new axiom: (forall (A:nat), (((eq Prop) (not (((eq nat) A) zero_zero_nat))) ((ord_less_nat zero_zero_nat) A)))
% 1.68/1.86 FOF formula (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N))) of role axiom named fact_381_neq0__conv
% 1.68/1.86 A new axiom: (forall (N:nat), (((eq Prop) (not (((eq nat) N) zero_zero_nat))) ((ord_less_nat zero_zero_nat) N)))
% 1.68/1.88 FOF formula (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False)) of role axiom named fact_382_less__nat__zero__code
% 1.68/1.88 A new axiom: (forall (N:nat), (((ord_less_nat N) zero_zero_nat)->False))
% 1.68/1.88 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) zero_zero_nat)) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) N) zero_zero_nat)))) of role axiom named fact_383_mult__is__0
% 1.68/1.88 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) N)) zero_zero_nat)) ((or (((eq nat) M) zero_zero_nat)) (((eq nat) N) zero_zero_nat))))
% 1.68/1.88 FOF formula (forall (M:nat), (((eq nat) ((times_times_nat M) zero_zero_nat)) zero_zero_nat)) of role axiom named fact_384_mult__0__right
% 1.68/1.88 A new axiom: (forall (M:nat), (((eq nat) ((times_times_nat M) zero_zero_nat)) zero_zero_nat))
% 1.68/1.88 FOF formula (forall (K:nat) (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) ((or (((eq nat) M) N)) (((eq nat) K) zero_zero_nat)))) of role axiom named fact_385_mult__cancel1
% 1.68/1.88 A new axiom: (forall (K:nat) (M:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat K) M)) ((times_times_nat K) N))) ((or (((eq nat) M) N)) (((eq nat) K) zero_zero_nat))))
% 1.68/1.88 FOF formula (forall (M:nat) (K:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) K)) ((times_times_nat N) K))) ((or (((eq nat) M) N)) (((eq nat) K) zero_zero_nat)))) of role axiom named fact_386_mult__cancel2
% 1.68/1.88 A new axiom: (forall (M:nat) (K:nat) (N:nat), (((eq Prop) (((eq nat) ((times_times_nat M) K)) ((times_times_nat N) K))) ((or (((eq nat) M) N)) (((eq nat) K) zero_zero_nat))))
% 1.68/1.88 FOF formula (forall (C:complex) (A:complex) (B:complex), ((and ((((eq complex) C) zero_zero_complex)->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) zero_zero_complex))) ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B))))) of role axiom named fact_387_mult__divide__mult__cancel__left__if
% 1.68/1.88 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((and ((((eq complex) C) zero_zero_complex)->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) zero_zero_complex))) ((not (((eq complex) C) zero_zero_complex))->(((eq complex) ((divide1717551699836669952omplex ((times_times_complex C) A)) ((times_times_complex C) B))) ((divide1717551699836669952omplex A) B)))))
% 1.68/1.88 FOF formula (forall (C:real) (A:real) (B:real), ((and ((((eq real) C) zero_zero_real)->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) zero_zero_real))) ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) ((divide_divide_real A) B))))) of role axiom named fact_388_mult__divide__mult__cancel__left__if
% 1.68/1.88 A new axiom: (forall (C:real) (A:real) (B:real), ((and ((((eq real) C) zero_zero_real)->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) zero_zero_real))) ((not (((eq real) C) zero_zero_real))->(((eq real) ((divide_divide_real ((times_times_real C) A)) ((times_times_real C) B))) ((divide_divide_real A) B)))))
% 1.68/1.88 FOF formula (forall (C:rat) (A:rat) (B:rat), ((and ((((eq rat) C) zero_zero_rat)->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) zero_zero_rat))) ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) ((divide_divide_rat A) B))))) of role axiom named fact_389_mult__divide__mult__cancel__left__if
% 1.68/1.88 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((and ((((eq rat) C) zero_zero_rat)->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) zero_zero_rat))) ((not (((eq rat) C) zero_zero_rat))->(((eq rat) ((divide_divide_rat ((times_times_rat C) A)) ((times_times_rat C) B))) ((divide_divide_rat A) B)))))
% 1.68/1.88 FOF formula (forall (X4:real), ((ex real) (fun (Y3:real)=> ((ord_less_real Y3) X4)))) of role axiom named fact_390_linordered__field__no__lb
% 1.68/1.90 A new axiom: (forall (X4:real), ((ex real) (fun (Y3:real)=> ((ord_less_real Y3) X4))))
% 1.68/1.90 FOF formula (forall (X4:rat), ((ex rat) (fun (Y3:rat)=> ((ord_less_rat Y3) X4)))) of role axiom named fact_391_linordered__field__no__lb
% 1.68/1.90 A new axiom: (forall (X4:rat), ((ex rat) (fun (Y3:rat)=> ((ord_less_rat Y3) X4))))
% 1.68/1.90 FOF formula (forall (X4:real), ((ex real) (fun (X_1:real)=> ((ord_less_real X4) X_1)))) of role axiom named fact_392_linordered__field__no__ub
% 1.68/1.90 A new axiom: (forall (X4:real), ((ex real) (fun (X_1:real)=> ((ord_less_real X4) X_1))))
% 1.68/1.90 FOF formula (forall (X4:rat), ((ex rat) (fun (X_1:rat)=> ((ord_less_rat X4) X_1)))) of role axiom named fact_393_linordered__field__no__ub
% 1.68/1.90 A new axiom: (forall (X4:rat), ((ex rat) (fun (X_1:rat)=> ((ord_less_rat X4) X_1))))
% 1.68/1.90 FOF formula (forall (X:real) (Y:real), ((not (((eq real) X) Y))->((((ord_less_real X) Y)->False)->((ord_less_real Y) X)))) of role axiom named fact_394_linorder__neqE__linordered__idom
% 1.68/1.90 A new axiom: (forall (X:real) (Y:real), ((not (((eq real) X) Y))->((((ord_less_real X) Y)->False)->((ord_less_real Y) X))))
% 1.68/1.90 FOF formula (forall (X:rat) (Y:rat), ((not (((eq rat) X) Y))->((((ord_less_rat X) Y)->False)->((ord_less_rat Y) X)))) of role axiom named fact_395_linorder__neqE__linordered__idom
% 1.68/1.90 A new axiom: (forall (X:rat) (Y:rat), ((not (((eq rat) X) Y))->((((ord_less_rat X) Y)->False)->((ord_less_rat Y) X))))
% 1.68/1.90 FOF formula (forall (X:int) (Y:int), ((not (((eq int) X) Y))->((((ord_less_int X) Y)->False)->((ord_less_int Y) X)))) of role axiom named fact_396_linorder__neqE__linordered__idom
% 1.68/1.90 A new axiom: (forall (X:int) (Y:int), ((not (((eq int) X) Y))->((((ord_less_int X) Y)->False)->((ord_less_int Y) X))))
% 1.68/1.90 FOF formula (forall (X:code_integer) (Y:code_integer), ((not (((eq code_integer) X) Y))->((((ord_le6747313008572928689nteger X) Y)->False)->((ord_le6747313008572928689nteger Y) X)))) of role axiom named fact_397_linorder__neqE__linordered__idom
% 1.68/1.90 A new axiom: (forall (X:code_integer) (Y:code_integer), ((not (((eq code_integer) X) Y))->((((ord_le6747313008572928689nteger X) Y)->False)->((ord_le6747313008572928689nteger Y) X))))
% 1.68/1.90 FOF formula (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y))) of role axiom named fact_398_Suc__inject
% 1.68/1.90 A new axiom: (forall (X:nat) (Y:nat), ((((eq nat) (suc X)) (suc Y))->(((eq nat) X) Y)))
% 1.68/1.90 FOF formula (forall (N:nat), (not (((eq nat) N) (suc N)))) of role axiom named fact_399_n__not__Suc__n
% 1.68/1.90 A new axiom: (forall (N:nat), (not (((eq nat) N) (suc N))))
% 1.68/1.90 FOF formula (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M)))) of role axiom named fact_400_nat__neq__iff
% 1.68/1.90 A new axiom: (forall (M:nat) (N:nat), (((eq Prop) (not (((eq nat) M) N))) ((or ((ord_less_nat M) N)) ((ord_less_nat N) M))))
% 1.68/1.90 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_401_less__not__refl
% 1.68/1.90 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 1.68/1.90 FOF formula (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N)))) of role axiom named fact_402_less__not__refl2
% 1.68/1.90 A new axiom: (forall (N:nat) (M:nat), (((ord_less_nat N) M)->(not (((eq nat) M) N))))
% 1.68/1.90 FOF formula (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T)))) of role axiom named fact_403_less__not__refl3
% 1.68/1.90 A new axiom: (forall (S:nat) (T:nat), (((ord_less_nat S) T)->(not (((eq nat) S) T))))
% 1.68/1.90 FOF formula (forall (N:nat), (((ord_less_nat N) N)->False)) of role axiom named fact_404_less__irrefl__nat
% 1.68/1.90 A new axiom: (forall (N:nat), (((ord_less_nat N) N)->False))
% 1.68/1.90 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M2:nat), (((ord_less_nat M2) N2)->(P M2)))->(P N2)))->(P N))) of role axiom named fact_405_nat__less__induct
% 1.68/1.90 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), ((forall (M2:nat), (((ord_less_nat M2) N2)->(P M2)))->(P N2)))->(P N)))
% 1.68/1.90 FOF formula (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False))))))->(P N))) of role axiom named fact_406_infinite__descent
% 1.68/1.92 A new axiom: (forall (P:(nat->Prop)) (N:nat), ((forall (N2:nat), (((P N2)->False)->((ex nat) (fun (M2:nat)=> ((and ((ord_less_nat M2) N2)) ((P M2)->False))))))->(P N)))
% 1.68/1.92 FOF formula (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X)))) of role axiom named fact_407_linorder__neqE__nat
% 1.68/1.92 A new axiom: (forall (X:nat) (Y:nat), ((not (((eq nat) X) Y))->((((ord_less_nat X) Y)->False)->((ord_less_nat Y) X))))
% 1.68/1.92 FOF formula (forall (X:list_real) (Y:list_real), ((not (((eq nat) (size_size_list_real X)) (size_size_list_real Y)))->(not (((eq list_real) X) Y)))) of role axiom named fact_408_size__neq__size__imp__neq
% 1.68/1.92 A new axiom: (forall (X:list_real) (Y:list_real), ((not (((eq nat) (size_size_list_real X)) (size_size_list_real Y)))->(not (((eq list_real) X) Y))))
% 1.68/1.92 FOF formula (forall (X:list_o) (Y:list_o), ((not (((eq nat) (size_size_list_o X)) (size_size_list_o Y)))->(not (((eq list_o) X) Y)))) of role axiom named fact_409_size__neq__size__imp__neq
% 1.68/1.92 A new axiom: (forall (X:list_o) (Y:list_o), ((not (((eq nat) (size_size_list_o X)) (size_size_list_o Y)))->(not (((eq list_o) X) Y))))
% 1.68/1.92 FOF formula (forall (X:list_nat) (Y:list_nat), ((not (((eq nat) (size_size_list_nat X)) (size_size_list_nat Y)))->(not (((eq list_nat) X) Y)))) of role axiom named fact_410_size__neq__size__imp__neq
% 1.68/1.92 A new axiom: (forall (X:list_nat) (Y:list_nat), ((not (((eq nat) (size_size_list_nat X)) (size_size_list_nat Y)))->(not (((eq list_nat) X) Y))))
% 1.68/1.92 FOF formula (forall (X:list_int) (Y:list_int), ((not (((eq nat) (size_size_list_int X)) (size_size_list_int Y)))->(not (((eq list_int) X) Y)))) of role axiom named fact_411_size__neq__size__imp__neq
% 1.68/1.92 A new axiom: (forall (X:list_int) (Y:list_int), ((not (((eq nat) (size_size_list_int X)) (size_size_list_int Y)))->(not (((eq list_int) X) Y))))
% 1.68/1.92 FOF formula (forall (X:num) (Y:num), ((not (((eq nat) (size_size_num X)) (size_size_num Y)))->(not (((eq num) X) Y)))) of role axiom named fact_412_size__neq__size__imp__neq
% 1.68/1.92 A new axiom: (forall (X:num) (Y:num), ((not (((eq nat) (size_size_num X)) (size_size_num Y)))->(not (((eq num) X) Y))))
% 1.68/1.92 FOF formula (forall (A:complex) (B:complex), ((not (((eq complex) ((times_times_complex A) B)) zero_zero_complex))->((and (not (((eq complex) A) zero_zero_complex))) (not (((eq complex) B) zero_zero_complex))))) of role axiom named fact_413_mult__not__zero
% 1.68/1.92 A new axiom: (forall (A:complex) (B:complex), ((not (((eq complex) ((times_times_complex A) B)) zero_zero_complex))->((and (not (((eq complex) A) zero_zero_complex))) (not (((eq complex) B) zero_zero_complex)))))
% 1.68/1.92 FOF formula (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger))->((and (not (((eq code_integer) A) zero_z3403309356797280102nteger))) (not (((eq code_integer) B) zero_z3403309356797280102nteger))))) of role axiom named fact_414_mult__not__zero
% 1.68/1.92 A new axiom: (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger))->((and (not (((eq code_integer) A) zero_z3403309356797280102nteger))) (not (((eq code_integer) B) zero_z3403309356797280102nteger)))))
% 1.68/1.92 FOF formula (forall (A:real) (B:real), ((not (((eq real) ((times_times_real A) B)) zero_zero_real))->((and (not (((eq real) A) zero_zero_real))) (not (((eq real) B) zero_zero_real))))) of role axiom named fact_415_mult__not__zero
% 1.68/1.92 A new axiom: (forall (A:real) (B:real), ((not (((eq real) ((times_times_real A) B)) zero_zero_real))->((and (not (((eq real) A) zero_zero_real))) (not (((eq real) B) zero_zero_real)))))
% 1.68/1.92 FOF formula (forall (A:rat) (B:rat), ((not (((eq rat) ((times_times_rat A) B)) zero_zero_rat))->((and (not (((eq rat) A) zero_zero_rat))) (not (((eq rat) B) zero_zero_rat))))) of role axiom named fact_416_mult__not__zero
% 1.68/1.92 A new axiom: (forall (A:rat) (B:rat), ((not (((eq rat) ((times_times_rat A) B)) zero_zero_rat))->((and (not (((eq rat) A) zero_zero_rat))) (not (((eq rat) B) zero_zero_rat)))))
% 1.75/1.93 FOF formula (forall (A:nat) (B:nat), ((not (((eq nat) ((times_times_nat A) B)) zero_zero_nat))->((and (not (((eq nat) A) zero_zero_nat))) (not (((eq nat) B) zero_zero_nat))))) of role axiom named fact_417_mult__not__zero
% 1.75/1.93 A new axiom: (forall (A:nat) (B:nat), ((not (((eq nat) ((times_times_nat A) B)) zero_zero_nat))->((and (not (((eq nat) A) zero_zero_nat))) (not (((eq nat) B) zero_zero_nat)))))
% 1.75/1.93 FOF formula (forall (A:int) (B:int), ((not (((eq int) ((times_times_int A) B)) zero_zero_int))->((and (not (((eq int) A) zero_zero_int))) (not (((eq int) B) zero_zero_int))))) of role axiom named fact_418_mult__not__zero
% 1.75/1.93 A new axiom: (forall (A:int) (B:int), ((not (((eq int) ((times_times_int A) B)) zero_zero_int))->((and (not (((eq int) A) zero_zero_int))) (not (((eq int) B) zero_zero_int)))))
% 1.75/1.93 FOF formula (forall (A:complex) (B:complex), ((((eq complex) ((times_times_complex A) B)) zero_zero_complex)->((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex)))) of role axiom named fact_419_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:complex) (B:complex), ((((eq complex) ((times_times_complex A) B)) zero_zero_complex)->((or (((eq complex) A) zero_zero_complex)) (((eq complex) B) zero_zero_complex))))
% 1.75/1.93 FOF formula (forall (A:code_integer) (B:code_integer), ((((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger)->((or (((eq code_integer) A) zero_z3403309356797280102nteger)) (((eq code_integer) B) zero_z3403309356797280102nteger)))) of role axiom named fact_420_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:code_integer) (B:code_integer), ((((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger)->((or (((eq code_integer) A) zero_z3403309356797280102nteger)) (((eq code_integer) B) zero_z3403309356797280102nteger))))
% 1.75/1.93 FOF formula (forall (A:real) (B:real), ((((eq real) ((times_times_real A) B)) zero_zero_real)->((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real)))) of role axiom named fact_421_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:real) (B:real), ((((eq real) ((times_times_real A) B)) zero_zero_real)->((or (((eq real) A) zero_zero_real)) (((eq real) B) zero_zero_real))))
% 1.75/1.93 FOF formula (forall (A:rat) (B:rat), ((((eq rat) ((times_times_rat A) B)) zero_zero_rat)->((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat)))) of role axiom named fact_422_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:rat) (B:rat), ((((eq rat) ((times_times_rat A) B)) zero_zero_rat)->((or (((eq rat) A) zero_zero_rat)) (((eq rat) B) zero_zero_rat))))
% 1.75/1.93 FOF formula (forall (A:nat) (B:nat), ((((eq nat) ((times_times_nat A) B)) zero_zero_nat)->((or (((eq nat) A) zero_zero_nat)) (((eq nat) B) zero_zero_nat)))) of role axiom named fact_423_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:nat) (B:nat), ((((eq nat) ((times_times_nat A) B)) zero_zero_nat)->((or (((eq nat) A) zero_zero_nat)) (((eq nat) B) zero_zero_nat))))
% 1.75/1.93 FOF formula (forall (A:int) (B:int), ((((eq int) ((times_times_int A) B)) zero_zero_int)->((or (((eq int) A) zero_zero_int)) (((eq int) B) zero_zero_int)))) of role axiom named fact_424_divisors__zero
% 1.75/1.93 A new axiom: (forall (A:int) (B:int), ((((eq int) ((times_times_int A) B)) zero_zero_int)->((or (((eq int) A) zero_zero_int)) (((eq int) B) zero_zero_int))))
% 1.75/1.93 FOF formula (forall (A:complex) (B:complex), ((not (((eq complex) A) zero_zero_complex))->((not (((eq complex) B) zero_zero_complex))->(not (((eq complex) ((times_times_complex A) B)) zero_zero_complex))))) of role axiom named fact_425_no__zero__divisors
% 1.75/1.93 A new axiom: (forall (A:complex) (B:complex), ((not (((eq complex) A) zero_zero_complex))->((not (((eq complex) B) zero_zero_complex))->(not (((eq complex) ((times_times_complex A) B)) zero_zero_complex)))))
% 1.75/1.93 FOF formula (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->((not (((eq code_integer) B) zero_z3403309356797280102nteger))->(not (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger))))) of role axiom named fact_426_no__zero__divisors
% 1.75/1.95 A new axiom: (forall (A:code_integer) (B:code_integer), ((not (((eq code_integer) A) zero_z3403309356797280102nteger))->((not (((eq code_integer) B) zero_z3403309356797280102nteger))->(not (((eq code_integer) ((times_3573771949741848930nteger A) B)) zero_z3403309356797280102nteger)))))
% 1.75/1.95 FOF formula (forall (A:real) (B:real), ((not (((eq real) A) zero_zero_real))->((not (((eq real) B) zero_zero_real))->(not (((eq real) ((times_times_real A) B)) zero_zero_real))))) of role axiom named fact_427_no__zero__divisors
% 1.75/1.95 A new axiom: (forall (A:real) (B:real), ((not (((eq real) A) zero_zero_real))->((not (((eq real) B) zero_zero_real))->(not (((eq real) ((times_times_real A) B)) zero_zero_real)))))
% 1.75/1.95 FOF formula (forall (A:rat) (B:rat), ((not (((eq rat) A) zero_zero_rat))->((not (((eq rat) B) zero_zero_rat))->(not (((eq rat) ((times_times_rat A) B)) zero_zero_rat))))) of role axiom named fact_428_no__zero__divisors
% 1.75/1.95 A new axiom: (forall (A:rat) (B:rat), ((not (((eq rat) A) zero_zero_rat))->((not (((eq rat) B) zero_zero_rat))->(not (((eq rat) ((times_times_rat A) B)) zero_zero_rat)))))
% 1.75/1.95 FOF formula (forall (A:nat) (B:nat), ((not (((eq nat) A) zero_zero_nat))->((not (((eq nat) B) zero_zero_nat))->(not (((eq nat) ((times_times_nat A) B)) zero_zero_nat))))) of role axiom named fact_429_no__zero__divisors
% 1.75/1.95 A new axiom: (forall (A:nat) (B:nat), ((not (((eq nat) A) zero_zero_nat))->((not (((eq nat) B) zero_zero_nat))->(not (((eq nat) ((times_times_nat A) B)) zero_zero_nat)))))
% 1.75/1.95 FOF formula (forall (A:int) (B:int), ((not (((eq int) A) zero_zero_int))->((not (((eq int) B) zero_zero_int))->(not (((eq int) ((times_times_int A) B)) zero_zero_int))))) of role axiom named fact_430_no__zero__divisors
% 1.75/1.95 A new axiom: (forall (A:int) (B:int), ((not (((eq int) A) zero_zero_int))->((not (((eq int) B) zero_zero_int))->(not (((eq int) ((times_times_int A) B)) zero_zero_int)))))
% 1.75/1.95 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq Prop) (((eq complex) ((times_times_complex C) A)) ((times_times_complex C) B))) (((eq complex) A) B)))) of role axiom named fact_431_mult__left__cancel
% 1.75/1.95 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq Prop) (((eq complex) ((times_times_complex C) A)) ((times_times_complex C) B))) (((eq complex) A) B))))
% 1.75/1.95 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) (((eq code_integer) A) B)))) of role axiom named fact_432_mult__left__cancel
% 1.75/1.95 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger C) A)) ((times_3573771949741848930nteger C) B))) (((eq code_integer) A) B))))
% 1.75/1.95 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq Prop) (((eq real) ((times_times_real C) A)) ((times_times_real C) B))) (((eq real) A) B)))) of role axiom named fact_433_mult__left__cancel
% 1.75/1.95 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq Prop) (((eq real) ((times_times_real C) A)) ((times_times_real C) B))) (((eq real) A) B))))
% 1.75/1.95 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq Prop) (((eq rat) ((times_times_rat C) A)) ((times_times_rat C) B))) (((eq rat) A) B)))) of role axiom named fact_434_mult__left__cancel
% 1.75/1.95 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq Prop) (((eq rat) ((times_times_rat C) A)) ((times_times_rat C) B))) (((eq rat) A) B))))
% 1.75/1.95 FOF formula (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq Prop) (((eq nat) ((times_times_nat C) A)) ((times_times_nat C) B))) (((eq nat) A) B)))) of role axiom named fact_435_mult__left__cancel
% 1.75/1.95 A new axiom: (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq Prop) (((eq nat) ((times_times_nat C) A)) ((times_times_nat C) B))) (((eq nat) A) B))))
% 1.79/1.97 FOF formula (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq Prop) (((eq int) ((times_times_int C) A)) ((times_times_int C) B))) (((eq int) A) B)))) of role axiom named fact_436_mult__left__cancel
% 1.79/1.97 A new axiom: (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq Prop) (((eq int) ((times_times_int C) A)) ((times_times_int C) B))) (((eq int) A) B))))
% 1.79/1.97 FOF formula (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq Prop) (((eq complex) ((times_times_complex A) C)) ((times_times_complex B) C))) (((eq complex) A) B)))) of role axiom named fact_437_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:complex) (A:complex) (B:complex), ((not (((eq complex) C) zero_zero_complex))->(((eq Prop) (((eq complex) ((times_times_complex A) C)) ((times_times_complex B) C))) (((eq complex) A) B))))
% 1.79/1.97 FOF formula (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) (((eq code_integer) A) B)))) of role axiom named fact_438_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:code_integer) (A:code_integer) (B:code_integer), ((not (((eq code_integer) C) zero_z3403309356797280102nteger))->(((eq Prop) (((eq code_integer) ((times_3573771949741848930nteger A) C)) ((times_3573771949741848930nteger B) C))) (((eq code_integer) A) B))))
% 1.79/1.97 FOF formula (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq Prop) (((eq real) ((times_times_real A) C)) ((times_times_real B) C))) (((eq real) A) B)))) of role axiom named fact_439_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:real) (A:real) (B:real), ((not (((eq real) C) zero_zero_real))->(((eq Prop) (((eq real) ((times_times_real A) C)) ((times_times_real B) C))) (((eq real) A) B))))
% 1.79/1.97 FOF formula (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq Prop) (((eq rat) ((times_times_rat A) C)) ((times_times_rat B) C))) (((eq rat) A) B)))) of role axiom named fact_440_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:rat) (A:rat) (B:rat), ((not (((eq rat) C) zero_zero_rat))->(((eq Prop) (((eq rat) ((times_times_rat A) C)) ((times_times_rat B) C))) (((eq rat) A) B))))
% 1.79/1.97 FOF formula (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq Prop) (((eq nat) ((times_times_nat A) C)) ((times_times_nat B) C))) (((eq nat) A) B)))) of role axiom named fact_441_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:nat) (A:nat) (B:nat), ((not (((eq nat) C) zero_zero_nat))->(((eq Prop) (((eq nat) ((times_times_nat A) C)) ((times_times_nat B) C))) (((eq nat) A) B))))
% 1.79/1.97 FOF formula (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq Prop) (((eq int) ((times_times_int A) C)) ((times_times_int B) C))) (((eq int) A) B)))) of role axiom named fact_442_mult__right__cancel
% 1.79/1.97 A new axiom: (forall (C:int) (A:int) (B:int), ((not (((eq int) C) zero_zero_int))->(((eq Prop) (((eq int) ((times_times_int A) C)) ((times_times_int B) C))) (((eq int) A) B))))
% 1.79/1.97 FOF formula (forall (X:complex) (Y:complex) (Z:complex) (W:complex), (((eq complex) ((times_times_complex ((divide1717551699836669952omplex X) Y)) ((divide1717551699836669952omplex Z) W))) ((divide1717551699836669952omplex ((times_times_complex X) Z)) ((times_times_complex Y) W)))) of role axiom named fact_443_times__divide__times__eq
% 1.79/1.97 A new axiom: (forall (X:complex) (Y:complex) (Z:complex) (W:complex), (((eq complex) ((times_times_complex ((divide1717551699836669952omplex X) Y)) ((divide1717551699836669952omplex Z) W))) ((divide1717551699836669952omplex ((times_times_complex X) Z)) ((times_times_complex Y) W))))
% 1.79/1.97 FOF formula (forall (X:real) (Y:real) (Z:real) (W:real), (((eq real) ((times_times_real ((divide_divide_real X) Y)) ((divide_divide_real Z) W))) ((divide_divide_real ((times_times_real X) Z)) ((times_times_real Y) W)))) of role axiom named fact_444_times__divide__times__eq
% 1.79/1.99 A new axiom: (forall (X:real) (Y:real) (Z:real) (W:real), (((eq real) ((times_times_real ((divide_divide_real X) Y)) ((divide_divide_real Z) W))) ((divide_divide_real ((times_times_real X) Z)) ((times_times_real Y) W))))
% 1.79/1.99 FOF formula (forall (X:rat) (Y:rat) (Z:rat) (W:rat), (((eq rat) ((times_times_rat ((divide_divide_rat X) Y)) ((divide_divide_rat Z) W))) ((divide_divide_rat ((times_times_rat X) Z)) ((times_times_rat Y) W)))) of role axiom named fact_445_times__divide__times__eq
% 1.79/1.99 A new axiom: (forall (X:rat) (Y:rat) (Z:rat) (W:rat), (((eq rat) ((times_times_rat ((divide_divide_rat X) Y)) ((divide_divide_rat Z) W))) ((divide_divide_rat ((times_times_rat X) Z)) ((times_times_rat Y) W))))
% 1.79/1.99 FOF formula (forall (X:complex) (Y:complex) (Z:complex) (W:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex X) Y)) ((divide1717551699836669952omplex Z) W))) ((divide1717551699836669952omplex ((times_times_complex X) W)) ((times_times_complex Y) Z)))) of role axiom named fact_446_divide__divide__times__eq
% 1.79/1.99 A new axiom: (forall (X:complex) (Y:complex) (Z:complex) (W:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex X) Y)) ((divide1717551699836669952omplex Z) W))) ((divide1717551699836669952omplex ((times_times_complex X) W)) ((times_times_complex Y) Z))))
% 1.79/1.99 FOF formula (forall (X:real) (Y:real) (Z:real) (W:real), (((eq real) ((divide_divide_real ((divide_divide_real X) Y)) ((divide_divide_real Z) W))) ((divide_divide_real ((times_times_real X) W)) ((times_times_real Y) Z)))) of role axiom named fact_447_divide__divide__times__eq
% 1.79/1.99 A new axiom: (forall (X:real) (Y:real) (Z:real) (W:real), (((eq real) ((divide_divide_real ((divide_divide_real X) Y)) ((divide_divide_real Z) W))) ((divide_divide_real ((times_times_real X) W)) ((times_times_real Y) Z))))
% 1.79/1.99 FOF formula (forall (X:rat) (Y:rat) (Z:rat) (W:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat X) Y)) ((divide_divide_rat Z) W))) ((divide_divide_rat ((times_times_rat X) W)) ((times_times_rat Y) Z)))) of role axiom named fact_448_divide__divide__times__eq
% 1.79/1.99 A new axiom: (forall (X:rat) (Y:rat) (Z:rat) (W:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat X) Y)) ((divide_divide_rat Z) W))) ((divide_divide_rat ((times_times_rat X) W)) ((times_times_rat Y) Z))))
% 1.79/1.99 FOF formula (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex A) B)) C)) ((divide1717551699836669952omplex A) ((times_times_complex C) B)))) of role axiom named fact_449_divide__divide__eq__left_H
% 1.79/1.99 A new axiom: (forall (A:complex) (B:complex) (C:complex), (((eq complex) ((divide1717551699836669952omplex ((divide1717551699836669952omplex A) B)) C)) ((divide1717551699836669952omplex A) ((times_times_complex C) B))))
% 1.79/1.99 FOF formula (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real ((divide_divide_real A) B)) C)) ((divide_divide_real A) ((times_times_real C) B)))) of role axiom named fact_450_divide__divide__eq__left_H
% 1.79/1.99 A new axiom: (forall (A:real) (B:real) (C:real), (((eq real) ((divide_divide_real ((divide_divide_real A) B)) C)) ((divide_divide_real A) ((times_times_real C) B))))
% 1.79/1.99 FOF formula (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat A) B)) C)) ((divide_divide_rat A) ((times_times_rat C) B)))) of role axiom named fact_451_divide__divide__eq__left_H
% 1.79/1.99 A new axiom: (forall (A:rat) (B:rat) (C:rat), (((eq rat) ((divide_divide_rat ((divide_divide_rat A) B)) C)) ((divide_divide_rat A) ((times_times_rat C) B))))
% 1.79/1.99 FOF formula (forall (X22:nat), (not (((eq nat) zero_zero_nat) (suc X22)))) of role axiom named fact_452_nat_Odistinct_I1_J
% 1.79/1.99 A new axiom: (forall (X22:nat), (not (((eq nat) zero_zero_nat) (suc X22))))
% 1.79/1.99 FOF formula (forall (Nat2:nat), (not (((eq nat) (suc Nat2)) zero_zero_nat))) of role axiom named fact_453_old_Onat_Odistinct_I2_J
% 1.79/1.99 A new axiom: (forall (Nat2:nat), (not (((eq nat) (suc Nat2)) zero_zero_nat)))
% 1.79/1.99 FOF formula (forall (Nat2:nat), (not (((eq nat) zero_zero_nat) (suc Nat2)))) of role axiom named fact_454_old_Onat_Odistinct_I1_J
% 1.79/2.00 A new axiom: (forall (Nat2:nat), (not (((eq nat) zero_zero_nat) (suc Nat2))))
% 1.79/2.00 FOF formula (forall (Nat:nat) (X22:nat), ((((eq nat) Nat) (suc X22))->(not (((eq nat) Nat) zero_zero_nat)))) of role axiom named fact_455_nat_OdiscI
% 1.79/2.00 A new axiom: (forall (Nat:nat) (X22:nat), ((((eq nat) Nat) (suc X22))->(not (((eq nat) Nat) zero_zero_nat))))
% 1.79/2.00 <<<t_456_old_Onat_Oexhaust,axiom,
% 1.79/2.00 ! [Y: nat] :
% 1.79/2.00 ( ( Y != zero_zero_nat )
% 1.79/2.00 => ~ !>>>!!!<<< [Nat3: nat] :
% 1.79/2.00 ( Y
% 1.79/2.00 != ( suc @ Nat3 ) ) ) ).
% 1.79/2.00
% 1.79/2.00 % old.nat.exhaust
% 1.79/2.00 thf(>>>
% 1.79/2.00 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,261258), LexToken(LPAR,'(',1,261261), name, LexToken(COMMA,',',1,261288), formula_role, LexToken(COMMA,',',1,261294), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,261302), thf_variable_list, LexToken(RBRACKET,']',1,261309), LexToken(COLON,':',1,261311), LexToken(LPAR,'(',1,261319), thf_unitary_formula, thf_pair_connective, unary_connective]
% 1.79/2.00 Unexpected exception Syntax error at '!':BANG
% 1.79/2.00 Traceback (most recent call last):
% 1.79/2.00 File "CASC.py", line 79, in <module>
% 1.79/2.00 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 1.79/2.00 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 1.79/2.00 parser.parse(file.read(),debug=0,lexer=lexer)
% 1.79/2.00 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 1.79/2.00 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 1.79/2.00 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 1.79/2.00 tok = self.errorfunc(errtoken)
% 1.79/2.00 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 1.79/2.00 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 1.79/2.00 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------