TSTP Solution File: ITP041^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP041^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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
% DateTime : Sun Mar 21 13:24:00 EDT 2021
% Result : Unknown 0.49s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP041^1 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 19 05:02:02 EDT 2021
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.42/0.60 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff2d8>, <kernel.Type object at 0xffec68>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_Pr1389752855real_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff098>, <kernel.Type object at 0xffe518>) of role type named ty_n_t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring produc190496183real_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff050>, <kernel.Type object at 0xffea28>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring produc214722967um_c_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff098>, <kernel.Type object at 0xffe998>) of role type named ty_n_t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__a_Mtf__b_Mtf__c_Mt__Product____Type__Ounit_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring denota231621370t_unit:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff2d8>, <kernel.Type object at 0xffe6c8>) of role type named ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Real__Oreal_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring produc1398711912c_real:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff098>, <kernel.Type object at 0xffefc8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring produc754691304um_c_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xfff098>, <kernel.Type object at 0xffec20>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__b_Mtf__c_J_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_Su1783761653um_b_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe6c8>, <kernel.Type object at 0xffe248>) of role type named ty_n_t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_Fi1407883041real_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffefc8>, <kernel.Type object at 0xffee18>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_set_Sum_sum_c_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffec20>, <kernel.Type object at 0xffe2d8>) of role type named ty_n_t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring finite1398487019real_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe248>, <kernel.Type object at 0xffe3f8>) of role type named ty_n_t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring produc957004601l_real:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffee18>, <kernel.Type object at 0xffe908>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__d_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_Sum_sum_c_d:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe2d8>, <kernel.Type object at 0xffef38>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring set_Sum_sum_c_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe3f8>, <kernel.Type object at 0xffe368>) of role type named ty_n_t__Syntax__Oformula_Itf__a_Mtf__b_Mtf__c_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring formula_a_b_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe908>, <kernel.Type object at 0xffe7e8>) of role type named ty_n_t__Syntax__Ohp_Itf__a_Mtf__b_Mtf__c_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring hp_a_b_c:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffef38>, <kernel.Type object at 0xffeab8>) of role type named ty_n_t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.42/0.60 Using role type
% 0.42/0.60 Declaring sum_sum_c_d:Type
% 0.42/0.60 FOF formula (<kernel.Constant object at 0xffe368>, <kernel.Type object at 0xffe488>) of role type named ty_n_t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring sum_sum_c_c:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe7e8>, <kernel.Type object at 0xffed88>) of role type named ty_n_t__Filter__Ofilter_It__Real__Oreal_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring filter_real:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffeab8>, <kernel.Type object at 0xffe440>) of role type named ty_n_t__Syntax__OODE_Itf__a_Mtf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring oDE_a_c:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe518>, <kernel.Type object at 0xffed88>) of role type named ty_n_t__Set__Oset_It__Real__Oreal_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring set_real:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58e640c6c8>, <kernel.Type object at 0xffe440>) of role type named ty_n_t__Set__Oset_Itf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring set_c:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe998>, <kernel.Type object at 0x2b58edf08b90>) of role type named ty_n_t__Real__Oreal
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring real:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe488>, <kernel.Type object at 0x2b58edf08b90>) of role type named ty_n_tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring c:Type
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe128>, <kernel.DependentProduct object at 0x2b58edf08680>) of role type named sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_001t__Real__Oreal
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring bNF_Ca449034301c_real:(set_Pr1389752855real_c->((finite1398487019real_c->real)->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe488>, <kernel.DependentProduct object at 0x2b58edf08200>) of role type named sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring bNF_Ca1693016812um_c_c:(set_Pr1389752855real_c->((finite1398487019real_c->set_Sum_sum_c_c)->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe128>, <kernel.DependentProduct object at 0x2b58edf08488>) of role type named sy_c_Coincidence__Mirabelle__veeocdlawq_Oids_Ocoincide__fml_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring coinci501627771_a_b_c:(formula_a_b_c->Prop)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe998>, <kernel.DependentProduct object at 0x2b58edf08d40>) of role type named sy_c_Coincidence__Mirabelle__veeocdlawq_Oids_Ocoincide__hp_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring coinci354700372_a_b_c:(hp_a_b_c->(denota231621370t_unit->(denota231621370t_unit->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xffe998>, <kernel.DependentProduct object at 0x2b58edf08098>) of role type named sy_c_Coincidence__Mirabelle__veeocdlawq_Oids_Ocoincide__hp_H_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring coinci1852866155_a_b_c:(hp_a_b_c->Prop)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08680>, <kernel.DependentProduct object at 0x2b58edf08248>) of role type named sy_c_Coincidence__Mirabelle__veeocdlawq_Oids_Oode__sem__equiv_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring coinci772602909_a_b_c:(hp_a_b_c->(denota231621370t_unit->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08d40>, <kernel.DependentProduct object at 0x2b58edf08488>) of role type named sy_c_Denotational__Semantics_OIagree_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota69106024_a_b_c:(denota231621370t_unit->(denota231621370t_unit->(set_Su1783761653um_b_c->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08c68>, <kernel.DependentProduct object at 0x2b58edf08cb0>) of role type named sy_c_Denotational__Semantics_OODE__sem_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota1275485728_a_b_c:(denota231621370t_unit->(oDE_a_c->(finite1398487019real_c->finite1398487019real_c)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08368>, <kernel.DependentProduct object at 0x2b58edf08cf8>) of role type named sy_c_Denotational__Semantics_OVSagree_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota256060419gree_c:(finite1398487019real_c->(finite1398487019real_c->(set_c->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08488>, <kernel.DependentProduct object at 0x2b58edf085f0>) of role type named sy_c_Denotational__Semantics_OVagree_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota1997846518gree_c:(produc190496183real_c->(produc190496183real_c->(set_Sum_sum_c_c->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08cb0>, <kernel.DependentProduct object at 0x2b58edf08248>) of role type named sy_c_Denotational__Semantics_Ofml__sem_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota968303861_a_b_c:(denota231621370t_unit->(formula_a_b_c->set_Pr1389752855real_c))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08cf8>, <kernel.DependentProduct object at 0x2b58edf08050>) of role type named sy_c_Denotational__Semantics_Omk__v_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota161327353_a_b_c:(denota231621370t_unit->(oDE_a_c->(produc190496183real_c->(finite1398487019real_c->produc190496183real_c))))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf085f0>, <kernel.DependentProduct object at 0x2b58edf08368>) of role type named sy_c_Denotational__Semantics_Omk__xode_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota1896987029_a_b_c:(denota231621370t_unit->(oDE_a_c->(finite1398487019real_c->produc190496183real_c)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08248>, <kernel.DependentProduct object at 0x2b58edf08dd0>) of role type named sy_c_Denotational__Semantics_OsemBV_001tf__a_001tf__b_001tf__c
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring denota1293057250_a_b_c:(denota231621370t_unit->(oDE_a_c->set_Sum_sum_c_c))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08050>, <kernel.DependentProduct object at 0x2b58edf085f0>) of role type named sy_c_Deriv_Ohas__vector__derivative_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring has_ve1904308670real_c:((real->finite1398487019real_c)->(finite1398487019real_c->(filter_real->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08368>, <kernel.DependentProduct object at 0x2b58edf08248>) of role type named sy_c_Deriv_Ohas__vector__derivative_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring has_ve373335844real_c:((real->produc190496183real_c)->(produc190496183real_c->(filter_real->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08758>, <kernel.DependentProduct object at 0x2b58edf08dd0>) of role type named sy_c_Deriv_Ohas__vector__derivative_001t__Real__Oreal
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring has_ve217091583e_real:((real->real)->(real->(filter_real->Prop)))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf085f0>, <kernel.DependentProduct object at 0xfd85f0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_M_Eo_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus23580315al_c_o:((finite1398487019real_c->Prop)->(finite1398487019real_c->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08dd0>, <kernel.DependentProduct object at 0xfd8cf8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_M_Eo_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus32155087al_c_o:((produc190496183real_c->Prop)->(produc190496183real_c->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08758>, <kernel.DependentProduct object at 0xfd8638>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Sum____Type__Osum_Itf__c_Mtf__c_J_M_Eo_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus88729697_c_c_o:((sum_sum_c_c->Prop)->(sum_sum_c_c->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08dd0>, <kernel.DependentProduct object at 0xfd8cf8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_It__Sum____Type__Osum_Itf__c_Mtf__d_J_M_Eo_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus916499104_c_d_o:((sum_sum_c_d->Prop)->(sum_sum_c_d->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf08758>, <kernel.DependentProduct object at 0xfd8908>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001_062_Itf__c_M_Eo_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus_uminus_c_o:((c->Prop)->(c->Prop))
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf085f0>, <kernel.DependentProduct object at 0xfd89e0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus1737280820real_c:(finite1398487019real_c->finite1398487019real_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0x2b58edf085f0>, <kernel.DependentProduct object at 0xfd8b00>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus17964590real_c:(produc190496183real_c->produc190496183real_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8908>, <kernel.DependentProduct object at 0xfd8ab8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus856758960l_real:(produc957004601l_real->produc957004601l_real)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd89e0>, <kernel.DependentProduct object at 0xfd8b90>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus1629073887um_c_c:(produc754691304um_c_c->produc754691304um_c_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8b00>, <kernel.DependentProduct object at 0xfd8dd0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Real__Oreal_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus125610847c_real:(produc1398711912c_real->produc1398711912c_real)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8ab8>, <kernel.DependentProduct object at 0xfd8e18>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus1225118734um_c_c:(produc214722967um_c_c->produc214722967um_c_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8b90>, <kernel.DependentProduct object at 0xfd8950>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Real__Oreal
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus_uminus_real:(real->real)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8dd0>, <kernel.DependentProduct object at 0xfd8d88>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus102402154real_c:(set_Fi1407883041real_c->set_Fi1407883041real_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8e18>, <kernel.DependentProduct object at 0xfd8cb0>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus232257166real_c:(set_Pr1389752855real_c->set_Pr1389752855real_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8950>, <kernel.DependentProduct object at 0xfd8c68>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus1381786404um_c_c:(set_Sum_sum_c_c->set_Sum_sum_c_c)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8d88>, <kernel.DependentProduct object at 0xfd8bd8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__d_J_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus373867045um_c_d:(set_Sum_sum_c_d->set_Sum_sum_c_d)
% 0.42/0.61 FOF formula (<kernel.Constant object at 0xfd8cb0>, <kernel.DependentProduct object at 0x2b58edef3ea8>) of role type named sy_c_Groups_Ouminus__class_Ouminus_001t__Set__Oset_Itf__c_J
% 0.42/0.61 Using role type
% 0.42/0.61 Declaring uminus_uminus_set_c:(set_c->set_c)
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8c68>, <kernel.Constant object at 0xfd8cb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring zero_z109254132real_c:finite1398487019real_c
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8d88>, <kernel.Constant object at 0xfd8cb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring zero_z1506780526real_c:produc190496183real_c
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8950>, <kernel.Constant object at 0xfd8cb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring zero_z659284464l_real:produc957004601l_real
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8c68>, <kernel.Constant object at 0xfd8cb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Real__Oreal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring zero_zero_real:real
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8d88>, <kernel.DependentProduct object at 0xff5200>) of role type named sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring the_Pr1290640446real_c:((produc190496183real_c->Prop)->produc190496183real_c)
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8950>, <kernel.DependentProduct object at 0xff5cf8>) of role type named sy_c_Initial__Value__Problem_Osolves__ode_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring initia1631504802real_c:((real->finite1398487019real_c)->((real->(finite1398487019real_c->finite1398487019real_c))->(set_real->(set_Fi1407883041real_c->Prop))))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xff5e18>, <kernel.DependentProduct object at 0xfd8d88>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring sup_su1349021703um_c_c:(set_Sum_sum_c_c->(set_Sum_sum_c_c->set_Sum_sum_c_c))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xff51b8>, <kernel.DependentProduct object at 0xfd8e18>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_M_062_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_M_Eo_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le1382916304al_c_o:((finite1398487019real_c->(finite1398487019real_c->Prop))->((finite1398487019real_c->(finite1398487019real_c->Prop))->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xff5e18>, <kernel.DependentProduct object at 0xffb2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_M_Eo_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le1132241894al_c_o:((produc190496183real_c->Prop)->((produc190496183real_c->Prop)->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xff51b8>, <kernel.DependentProduct object at 0xffba28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Sum____Type__Osum_Itf__c_Mtf__c_J_M_Eo_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le1315653386_c_c_o:((sum_sum_c_c->Prop)->((sum_sum_c_c->Prop)->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xff51b8>, <kernel.DependentProduct object at 0xffb128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Sum____Type__Osum_Itf__c_Mtf__d_J_M_Eo_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le2143422793_c_d_o:((sum_sum_c_d->Prop)->((sum_sum_c_d->Prop)->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8e18>, <kernel.DependentProduct object at 0xffbea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Filter__Ofilter_It__Real__Oreal_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le132810396r_real:(filter_real->(filter_real->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8d88>, <kernel.DependentProduct object at 0xffbf38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le775706699real_c:(finite1398487019real_c->(finite1398487019real_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8e18>, <kernel.DependentProduct object at 0xffba28>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le850691415real_c:(produc190496183real_c->(produc190496183real_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8cb0>, <kernel.DependentProduct object at 0xffb4d0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Real__Oreal_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le1342644953l_real:(produc957004601l_real->(produc957004601l_real->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xfd8cb0>, <kernel.DependentProduct object at 0xffb128>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Real__Oreal_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le191210632um_c_c:(produc754691304um_c_c->(produc754691304um_c_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffbd40>, <kernel.DependentProduct object at 0xffb3f8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Real__Oreal_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le835231240c_real:(produc1398711912c_real->(produc1398711912c_real->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffb488>, <kernel.DependentProduct object at 0xffbea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_Mt__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le684454199um_c_c:(produc214722967um_c_c->(produc214722967um_c_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffbc68>, <kernel.DependentProduct object at 0xffbf38>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffbcb0>, <kernel.DependentProduct object at 0xffb2d8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le1327118209real_c:(set_Fi1407883041real_c->(set_Fi1407883041real_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffbea8>, <kernel.DependentProduct object at 0xffbd40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le977353143real_c:(set_Pr1389752855real_c->(set_Pr1389752855real_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffb6c8>, <kernel.DependentProduct object at 0xffb488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Real__Oreal_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_less_eq_set_real:(set_real->(set_real->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffb758>, <kernel.DependentProduct object at 0xffbc68>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le657554289um_c_c:(set_set_Sum_sum_c_c->(set_set_Sum_sum_c_c->Prop))
% 0.42/0.62 FOF formula (<kernel.Constant object at 0xffbd40>, <kernel.DependentProduct object at 0xffbcb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__b_Mtf__c_J_J_J
% 0.42/0.62 Using role type
% 0.42/0.62 Declaring ord_le929608341um_b_c:(set_Su1783761653um_b_c->(set_Su1783761653um_b_c->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb488>, <kernel.DependentProduct object at 0xffbea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ord_le1772180283um_c_c:(set_Sum_sum_c_c->(set_Sum_sum_c_c->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb998>, <kernel.DependentProduct object at 0xffb6c8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__d_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ord_le764260924um_c_d:(set_Sum_sum_c_d->(set_Sum_sum_c_d->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbcb0>, <kernel.DependentProduct object at 0xffb758>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ord_less_eq_set_c:(set_c->(set_c->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbea8>, <kernel.DependentProduct object at 0xffb998>) of role type named sy_c_Product__Type_OPair_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc394644079real_c:(finite1398487019real_c->(finite1398487019real_c->produc190496183real_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb6c8>, <kernel.DependentProduct object at 0xffbcb0>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc705216881l_real:(real->(real->produc957004601l_real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb488>, <kernel.DependentProduct object at 0xffbea8>) of role type named sy_c_Product__Type_OPair_001t__Real__Oreal_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc1186709024um_c_c:(real->(set_Sum_sum_c_c->produc754691304um_c_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbcb0>, <kernel.DependentProduct object at 0xffaea8>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc1528874528c_real:(set_Sum_sum_c_c->(real->produc1398711912c_real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb6c8>, <kernel.DependentProduct object at 0xffae60>) of role type named sy_c_Product__Type_OPair_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring produc1439061071um_c_c:(set_Sum_sum_c_c->(set_Sum_sum_c_c->produc214722967um_c_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbcb0>, <kernel.DependentProduct object at 0xffaea8>) of role type named sy_c_Set_OCollect_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec230941376real_c:((finite1398487019real_c->Prop)->set_Fi1407883041real_c)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa248>, <kernel.DependentProduct object at 0x2b58e6433200>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec1643251106real_c:((produc190496183real_c->Prop)->set_Pr1389752855real_c)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffb6c8>, <kernel.DependentProduct object at 0x2b58e6433170>) of role type named sy_c_Set_OCollect_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collect_real:((real->Prop)->set_real)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbea8>, <kernel.DependentProduct object at 0x2b58e6433200>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec95329456um_c_c:((set_Sum_sum_c_c->Prop)->set_set_Sum_sum_c_c)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffbea8>, <kernel.DependentProduct object at 0x2b58e64331b8>) of role type named sy_c_Set_OCollect_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collect_Sum_sum_c_c:((sum_sum_c_c->Prop)->set_Sum_sum_c_c)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa200>, <kernel.DependentProduct object at 0x2b58e64330e0>) of role type named sy_c_Set_OCollect_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collect_Sum_sum_c_d:((sum_sum_c_d->Prop)->set_Sum_sum_c_d)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa248>, <kernel.DependentProduct object at 0x2b58e6433128>) of role type named sy_c_Set_OCollect_001tf__c
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collect_c:((c->Prop)->set_c)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa200>, <kernel.DependentProduct object at 0x2b58e6433128>) of role type named sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_1467045143um_c_c:((produc190496183real_c->sum_sum_c_c)->(set_Pr1389752855real_c->set_Sum_sum_c_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffaef0>, <kernel.DependentProduct object at 0x2b58e6433200>) of role type named sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_1475306648um_c_d:((produc190496183real_c->sum_sum_c_d)->(set_Pr1389752855real_c->set_Sum_sum_c_d))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa200>, <kernel.DependentProduct object at 0x2b58e6433248>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_327677598real_c:((real->finite1398487019real_c)->(set_real->set_Fi1407883041real_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xffa200>, <kernel.DependentProduct object at 0x2b58e64330e0>) of role type named sy_c_Set_Oimage_001t__Real__Oreal_001t__Real__Oreal
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_real_real:((real->real)->(set_real->set_real))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e6433320>, <kernel.DependentProduct object at 0x2b58e6433050>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__c_J_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_1146069259real_c:((sum_sum_c_c->produc190496183real_c)->(set_Sum_sum_c_c->set_Pr1389752855real_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e64331b8>, <kernel.DependentProduct object at 0x2b58e64332d8>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__c_J_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_666880337um_c_c:((sum_sum_c_c->sum_sum_c_c)->(set_Sum_sum_c_c->set_Sum_sum_c_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e6433128>, <kernel.DependentProduct object at 0x2b58e6433320>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__c_J_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_675141842um_c_d:((sum_sum_c_c->sum_sum_c_d)->(set_Sum_sum_c_c->set_Sum_sum_c_d))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e64333f8>, <kernel.DependentProduct object at 0x2b58e64331b8>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__d_J_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_1980705354real_c:((sum_sum_c_d->produc190496183real_c)->(set_Sum_sum_c_d->set_Pr1389752855real_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e6433440>, <kernel.DependentProduct object at 0x2b58e6433128>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__d_J_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring image_1558941394um_c_c:((sum_sum_c_d->sum_sum_c_c)->(set_Sum_sum_c_d->set_Sum_sum_c_c))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b58e64330e0>, <kernel.DependentProduct object at 0x2b58e64333f8>) of role type named sy_c_Set_Oimage_001t__Sum____Type__Osum_Itf__c_Mtf__d_J_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring image_1567202899um_c_d:((sum_sum_c_d->sum_sum_c_d)->(set_Sum_sum_c_d->set_Sum_sum_c_d))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64334d0>, <kernel.DependentProduct object at 0x2b58e6433440>) of role type named sy_c_Set_Oimage_001tf__c_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring image_c_Sum_sum_c_c:((c->sum_sum_c_c)->(set_c->set_Sum_sum_c_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433518>, <kernel.DependentProduct object at 0x2b58e64330e0>) of role type named sy_c_Set_Oimage_001tf__c_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring image_c_Sum_sum_c_d:((c->sum_sum_c_d)->(set_c->set_Sum_sum_c_d))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433320>, <kernel.DependentProduct object at 0x2b58e6433098>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or385782508real_c:(produc190496183real_c->(produc190496183real_c->set_Pr1389752855real_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433170>, <kernel.DependentProduct object at 0x2b58e6433248>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or656347191t_real:(real->(real->set_real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64330e0>, <kernel.DependentProduct object at 0x2b58e64333f8>) of role type named sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or935154662um_c_c:(set_Sum_sum_c_c->(set_Sum_sum_c_c->set_set_Sum_sum_c_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433098>, <kernel.DependentProduct object at 0x2b58e6433518>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or2003963744real_c:(finite1398487019real_c->set_Fi1407883041real_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433248>, <kernel.DependentProduct object at 0x2b58e6433320>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or10334466real_c:(produc190496183real_c->set_Pr1389752855real_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64333f8>, <kernel.DependentProduct object at 0x2b58e6433710>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_ord_atLeast_real:(real->set_real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433518>, <kernel.DependentProduct object at 0x2b58e6433758>) of role type named sy_c_Set__Interval_Oord__class_OatLeast_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or2028906832um_c_c:(set_Sum_sum_c_c->set_set_Sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433320>, <kernel.DependentProduct object at 0x2b58e64337a0>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or1478397028real_c:(finite1398487019real_c->set_Fi1407883041real_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433710>, <kernel.DependentProduct object at 0x2b58e64337e8>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or248124158real_c:(produc190496183real_c->set_Pr1389752855real_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433758>, <kernel.DependentProduct object at 0x2b58e6433830>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_ord_atMost_real:(real->set_real)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64337a0>, <kernel.DependentProduct object at 0x2b58e6433878>) of role type named sy_c_Set__Interval_Oord__class_OatMost_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring set_or326480468um_c_c:(set_Sum_sum_c_c->set_set_Sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64337e8>, <kernel.DependentProduct object at 0x2b58e64338c0>) of role type named sy_c_Static__Semantics_OBVO_001tf__a_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring static_BVO_a_c:(oDE_a_c->set_Sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433830>, <kernel.DependentProduct object at 0x2b58e6433908>) of role type named sy_c_Static__Semantics_OFVF_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring static_FVF_a_b_c:(formula_a_b_c->set_Sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433878>, <kernel.DependentProduct object at 0x2b58e6433950>) of role type named sy_c_Static__Semantics_OFVO_001tf__a_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring static_FVO_a_c:(oDE_a_c->set_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64338c0>, <kernel.DependentProduct object at 0x2b58e6433998>) of role type named sy_c_Static__Semantics_OSIGF_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring static_SIGF_a_b_c:(formula_a_b_c->set_Su1783761653um_b_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433908>, <kernel.DependentProduct object at 0x2b58e64339e0>) of role type named sy_c_Sum__Type_OInl_001tf__c_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring sum_Inl_c_c:(c->sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433950>, <kernel.DependentProduct object at 0x2b58e6433a28>) of role type named sy_c_Sum__Type_OInl_001tf__c_001tf__d
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring sum_Inl_c_d:(c->sum_sum_c_d)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433998>, <kernel.DependentProduct object at 0x2b58e6433a70>) of role type named sy_c_Sum__Type_OInr_001tf__c_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring sum_Inr_c_c:(c->sum_sum_c_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64339e0>, <kernel.DependentProduct object at 0x2b58e6433908>) of role type named sy_c_Syntax_OEquiv_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring equiv_a_b_c:(formula_a_b_c->(formula_a_b_c->formula_a_b_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433a28>, <kernel.DependentProduct object at 0x2b58e6433ab8>) of role type named sy_c_Syntax_OImplies_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring implies_a_b_c:(formula_a_b_c->(formula_a_b_c->formula_a_b_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64338c0>, <kernel.DependentProduct object at 0x2b58e6433950>) of role type named sy_c_Syntax_OODE__dom_001tf__a_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring oDE_dom_a_c:(oDE_a_c->set_c)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b48>, <kernel.DependentProduct object at 0x2b58e6433b00>) of role type named sy_c_Syntax_Ofsafe_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring fsafe_a_b_c:(formula_a_b_c->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433ab8>, <kernel.DependentProduct object at 0x2b58e64339e0>) of role type named sy_c_Syntax_Ohp_OEvolveODE_001tf__a_001tf__c_001tf__b
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring evolveODE_a_c_b:(oDE_a_c->(formula_a_b_c->hp_a_b_c))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433950>, <kernel.DependentProduct object at 0x2b58e6433c68>) of role type named sy_c_Syntax_Ohpsafe_001tf__a_001tf__b_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring hpsafe_a_b_c:(hp_a_b_c->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b00>, <kernel.DependentProduct object at 0x2b58e6433c20>) of role type named sy_c_Syntax_Oosafe_001tf__a_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring osafe_a_c:(oDE_a_c->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64339e0>, <kernel.DependentProduct object at 0x2b58e6433bd8>) of role type named sy_c_Topological__Spaces_Otopological__space__class_Oat__within_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring topolo1830106092n_real:(real->(set_real->filter_real))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c68>, <kernel.DependentProduct object at 0x2b58e6433cb0>) of role type named sy_c_member_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member1261661570real_c:(finite1398487019real_c->(set_Fi1407883041real_c->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c20>, <kernel.DependentProduct object at 0x2b58e6433b90>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member1895684704real_c:(produc190496183real_c->(set_Pr1389752855real_c->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.DependentProduct object at 0x2b58e6433c20>) of role type named sy_c_member_001t__Real__Oreal
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member_real:(real->(set_real->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e64339e0>, <kernel.DependentProduct object at 0x2b58e6433b00>) of role type named sy_c_member_001t__Set__Oset_It__Sum____Type__Osum_Itf__c_Mtf__c_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member2124950898um_c_c:(set_Sum_sum_c_c->(set_set_Sum_sum_c_c->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b90>, <kernel.DependentProduct object at 0x2b58e6433c68>) of role type named sy_c_member_001t__Sum____Type__Osum_Itf__c_Mtf__c_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member_Sum_sum_c_c:(sum_sum_c_c->(set_Sum_sum_c_c->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.DependentProduct object at 0x2b58e6433c20>) of role type named sy_c_member_001t__Sum____Type__Osum_Itf__c_Mtf__d_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member_Sum_sum_c_d:(sum_sum_c_d->(set_Sum_sum_c_d->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b00>, <kernel.DependentProduct object at 0x2b58e6433d88>) of role type named sy_c_member_001tf__c
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member_c:(c->(set_c->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c68>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_I____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring i:denota231621370t_unit
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_J____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring j:denota231621370t_unit
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b00>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_ODE____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring ode:oDE_a_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c68>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_P____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring p:formula_a_b_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_V____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring v:set_Sum_sum_c_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b00>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_a____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring a:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c68>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_aa____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring aa:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.Constant object at 0x2b58e6433d88>) of role type named sy_v_ab____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring ab:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433b00>, <kernel.Constant object at 0x2b58e6433c68>) of role type named sy_v_b____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring b:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.Constant object at 0xfe9050>) of role type named sy_v_ba____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring ba:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433c68>, <kernel.Constant object at 0xfe90e0>) of role type named sy_v_bb____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring bb:finite1398487019real_c
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433200>, <kernel.Constant object at 0xfe9128>) of role type named sy_v_s____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring s:real
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b58e6433d88>, <kernel.DependentProduct object at 0xfe9290>) of role type named sy_v_sol____
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring sol:(real->finite1398487019real_c)
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b58e6433d88>, <kernel.Constant object at 0xfe9290>) of role type named sy_v_t____
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring t:real
% 0.49/0.65 FOF formula (osafe_a_c ode) of role axiom named fact_0_osafe
% 0.49/0.65 A new axiom: (osafe_a_c ode)
% 0.49/0.65 FOF formula ((and (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol s))) ((produc394644079real_c aa) ba)) (uminus1381786404um_c_c ((denota1293057250_a_b_c j) ode)))) (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol s))) (((denota1896987029_a_b_c j) ode) (sol s))) ((denota1293057250_a_b_c j) ode))) of role axiom named fact_1__092_060open_062Vagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Imk__xode_AJ_AODE_A_Isol_As_J_J_A_IsemBV_AJ_AODE_J_092_060close_062
% 0.49/0.65 A new axiom: ((and (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol s))) ((produc394644079real_c aa) ba)) (uminus1381786404um_c_c ((denota1293057250_a_b_c j) ode)))) (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol s))) (((denota1896987029_a_b_c j) ode) (sol s))) ((denota1293057250_a_b_c j) ode)))
% 0.49/0.65 FOF formula (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol S))) ((produc394644079real_c aa) ba)) (uminus1381786404um_c_c ((denota1293057250_a_b_c j) ode)))) of role axiom named fact_2__092_060open_062_092_060And_062sa_O_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_Asa_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_092_060close_062
% 0.49/0.65 A new axiom: (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c j) ode) ((produc394644079real_c aa) ba)) (sol S))) ((produc394644079real_c aa) ba)) (uminus1381786404um_c_c ((denota1293057250_a_b_c j) ode))))
% 0.49/0.65 FOF formula (forall (_TPTP_I:denota231621370t_unit) (ODE:oDE_a_c) (Nu:produc190496183real_c) (Sol:finite1398487019real_c), ((and (((denota1997846518gree_c ((((denota161327353_a_b_c _TPTP_I) ODE) Nu) Sol)) Nu) (uminus1381786404um_c_c ((denota1293057250_a_b_c _TPTP_I) ODE)))) (((denota1997846518gree_c ((((denota161327353_a_b_c _TPTP_I) ODE) Nu) Sol)) (((denota1896987029_a_b_c _TPTP_I) ODE) Sol)) ((denota1293057250_a_b_c _TPTP_I) ODE)))) of role axiom named fact_3_mk__v__agree
% 0.49/0.65 A new axiom: (forall (_TPTP_I:denota231621370t_unit) (ODE:oDE_a_c) (Nu:produc190496183real_c) (Sol:finite1398487019real_c), ((and (((denota1997846518gree_c ((((denota161327353_a_b_c _TPTP_I) ODE) Nu) Sol)) Nu) (uminus1381786404um_c_c ((denota1293057250_a_b_c _TPTP_I) ODE)))) (((denota1997846518gree_c ((((denota161327353_a_b_c _TPTP_I) ODE) Nu) Sol)) (((denota1896987029_a_b_c _TPTP_I) ODE) Sol)) ((denota1293057250_a_b_c _TPTP_I) ODE))))
% 0.49/0.65 FOF formula (forall (X1:finite1398487019real_c) (X2:finite1398487019real_c) (Y1:finite1398487019real_c) (Y2:finite1398487019real_c), (((eq Prop) (((eq produc190496183real_c) ((produc394644079real_c X1) X2)) ((produc394644079real_c Y1) Y2))) ((and (((eq finite1398487019real_c) X1) Y1)) (((eq finite1398487019real_c) X2) Y2)))) of role axiom named fact_4_prod_Oinject
% 0.49/0.65 A new axiom: (forall (X1:finite1398487019real_c) (X2:finite1398487019real_c) (Y1:finite1398487019real_c) (Y2:finite1398487019real_c), (((eq Prop) (((eq produc190496183real_c) ((produc394644079real_c X1) X2)) ((produc394644079real_c Y1) Y2))) ((and (((eq finite1398487019real_c) X1) Y1)) (((eq finite1398487019real_c) X2) Y2))))
% 0.49/0.65 FOF formula (forall (A:finite1398487019real_c) (B:finite1398487019real_c) (A2:finite1398487019real_c) (B2:finite1398487019real_c), (((eq Prop) (((eq produc190496183real_c) ((produc394644079real_c A) B)) ((produc394644079real_c A2) B2))) ((and (((eq finite1398487019real_c) A) A2)) (((eq finite1398487019real_c) B) B2)))) of role axiom named fact_5_old_Oprod_Oinject
% 0.49/0.65 A new axiom: (forall (A:finite1398487019real_c) (B:finite1398487019real_c) (A2:finite1398487019real_c) (B2:finite1398487019real_c), (((eq Prop) (((eq produc190496183real_c) ((produc394644079real_c A) B)) ((produc394644079real_c A2) B2))) ((and (((eq finite1398487019real_c) A) A2)) (((eq finite1398487019real_c) B) B2))))
% 0.49/0.66 FOF formula (forall (Nu:produc190496183real_c) (_TPTP_I:denota231621370t_unit) (ODE:oDE_a_c) (Sol:finite1398487019real_c), ((ex produc190496183real_c) (fun (Omega:produc190496183real_c)=> ((and (((denota1997846518gree_c Omega) Nu) (uminus1381786404um_c_c ((denota1293057250_a_b_c _TPTP_I) ODE)))) (((denota1997846518gree_c Omega) (((denota1896987029_a_b_c _TPTP_I) ODE) Sol)) ((denota1293057250_a_b_c _TPTP_I) ODE)))))) of role axiom named fact_6_mk__v__exists
% 0.49/0.66 A new axiom: (forall (Nu:produc190496183real_c) (_TPTP_I:denota231621370t_unit) (ODE:oDE_a_c) (Sol:finite1398487019real_c), ((ex produc190496183real_c) (fun (Omega:produc190496183real_c)=> ((and (((denota1997846518gree_c Omega) Nu) (uminus1381786404um_c_c ((denota1293057250_a_b_c _TPTP_I) ODE)))) (((denota1997846518gree_c Omega) (((denota1896987029_a_b_c _TPTP_I) ODE) Sol)) ((denota1293057250_a_b_c _TPTP_I) ODE))))))
% 0.49/0.66 FOF formula (((denota1997846518gree_c ((produc394644079real_c a) b)) ((produc394644079real_c aa) ba)) v) of role axiom named fact_7_VA
% 0.49/0.66 A new axiom: (((denota1997846518gree_c ((produc394644079real_c a) b)) ((produc394644079real_c aa) ba)) v)
% 0.49/0.66 FOF formula (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol S))) (((denota1896987029_a_b_c i) ode) (sol S))) ((denota1293057250_a_b_c i) ode))) of role axiom named fact_8__092_060open_062_092_060And_062sa_O_AVagree_A_Imk__v_AI_AODE_A_Ia_M_Ab_J_A_Isol_Asa_J_J_A_Imk__xode_AI_AODE_A_Isol_Asa_J_J_A_IsemBV_AI_AODE_J_092_060close_062
% 0.49/0.66 A new axiom: (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol S))) (((denota1896987029_a_b_c i) ode) (sol S))) ((denota1293057250_a_b_c i) ode)))
% 0.49/0.66 FOF formula (((denota1997846518gree_c ((produc394644079real_c a) b)) ((produc394644079real_c aa) ba)) (static_BVO_a_c ode)) of role axiom named fact_9_VAOV
% 0.49/0.66 A new axiom: (((denota1997846518gree_c ((produc394644079real_c a) b)) ((produc394644079real_c aa) ba)) (static_BVO_a_c ode))
% 0.49/0.66 FOF formula (forall (A3:produc190496183real_c) (B3:produc190496183real_c) (V:set_Sum_sum_c_c), ((((denota1997846518gree_c A3) B3) V)->(((denota1997846518gree_c B3) A3) V))) of role axiom named fact_10_agree__comm
% 0.49/0.66 A new axiom: (forall (A3:produc190496183real_c) (B3:produc190496183real_c) (V:set_Sum_sum_c_c), ((((denota1997846518gree_c A3) B3) V)->(((denota1997846518gree_c B3) A3) V)))
% 0.49/0.66 FOF formula (forall (Nu:produc190496183real_c) (A3:set_Sum_sum_c_c), (((denota1997846518gree_c Nu) Nu) A3)) of role axiom named fact_11_agree__refl
% 0.49/0.66 A new axiom: (forall (Nu:produc190496183real_c) (A3:set_Sum_sum_c_c), (((denota1997846518gree_c Nu) Nu) A3))
% 0.49/0.66 FOF formula (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol S))) ((produc394644079real_c a) b)) (uminus1381786404um_c_c ((denota1293057250_a_b_c i) ode)))) of role axiom named fact_12__092_060open_062_092_060And_062sa_O_AVagree_A_Imk__v_AI_AODE_A_Ia_M_Ab_J_A_Isol_Asa_J_J_A_Ia_M_Ab_J_A_I_N_AsemBV_AI_AODE_J_092_060close_062
% 0.49/0.66 A new axiom: (forall (S:real), (((denota1997846518gree_c ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol S))) ((produc394644079real_c a) b)) (uminus1381786404um_c_c ((denota1293057250_a_b_c i) ode))))
% 0.49/0.66 FOF formula (forall (P:produc190496183real_c), ((ex finite1398487019real_c) (fun (X:finite1398487019real_c)=> ((ex finite1398487019real_c) (fun (Y:finite1398487019real_c)=> (((eq produc190496183real_c) P) ((produc394644079real_c X) Y))))))) of role axiom named fact_13_surj__pair
% 0.49/0.66 A new axiom: (forall (P:produc190496183real_c), ((ex finite1398487019real_c) (fun (X:finite1398487019real_c)=> ((ex finite1398487019real_c) (fun (Y:finite1398487019real_c)=> (((eq produc190496183real_c) P) ((produc394644079real_c X) Y)))))))
% 0.49/0.66 FOF formula (forall (P2:(produc190496183real_c->Prop)) (P:produc190496183real_c), ((forall (A4:finite1398487019real_c) (B4:finite1398487019real_c), (P2 ((produc394644079real_c A4) B4)))->(P2 P))) of role axiom named fact_14_prod__cases
% 0.49/0.67 A new axiom: (forall (P2:(produc190496183real_c->Prop)) (P:produc190496183real_c), ((forall (A4:finite1398487019real_c) (B4:finite1398487019real_c), (P2 ((produc394644079real_c A4) B4)))->(P2 P)))
% 0.49/0.67 FOF formula ((ord_le1772180283um_c_c (static_BVO_a_c ode)) v) of role axiom named fact_15_OVsub
% 0.49/0.67 A new axiom: ((ord_le1772180283um_c_c (static_BVO_a_c ode)) v)
% 0.49/0.67 FOF formula (((eq produc190496183real_c) ((produc394644079real_c ab) bb)) ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol t))) of role axiom named fact_16_veq
% 0.49/0.67 A new axiom: (((eq produc190496183real_c) ((produc394644079real_c ab) bb)) ((((denota161327353_a_b_c i) ode) ((produc394644079real_c a) b)) (sol t)))
% 0.49/0.67 FOF formula (forall (P2:(produc190496183real_c->Prop)) (Prod:produc190496183real_c), ((forall (A4:finite1398487019real_c) (B4:finite1398487019real_c), (P2 ((produc394644079real_c A4) B4)))->(P2 Prod))) of role axiom named fact_17_old_Oprod_Oinducts
% 0.49/0.67 A new axiom: (forall (P2:(produc190496183real_c->Prop)) (Prod:produc190496183real_c), ((forall (A4:finite1398487019real_c) (B4:finite1398487019real_c), (P2 ((produc394644079real_c A4) B4)))->(P2 Prod)))
% 0.49/0.67 <<<ducts
% 0.49/0.67 thf(fact_18_old_Oprod_Oexhaust,axiom,(
% 0.49/0.67 ! [Y3: produc190496183real_c] :
% 0.49/0.67 ~ !>>>!!!<<< [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.49/0.67 ( Y3
% 0.49/0.67 != ( pr>>>
% 0.49/0.67 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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 124]
% 0.49/0.67 symstack=[$end, TPTP_file_pre, 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, 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, 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, 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',1,32939), LexToken(LPAR,'(',1,32942), name, LexToken(COMMA,',',1,32969), formula_role, LexToken(COMMA,',',1,32975), LexToken(LPAR,'(',1,32976), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,32984), thf_variable_list, LexToken(RBRACKET,']',1,33010), LexToken(COLON,':',1,33012), unary_connective]
% 0.49/0.67 Unexpected exception Syntax error at '!':BANG
% 0.49/0.67 Traceback (most recent call last):
% 0.49/0.67 File "CASC.py", line 79, in <module>
% 0.49/0.67 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.49/0.67 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.49/0.67 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.49/0.67 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.49/0.67 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.49/0.67 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.49/0.67 tok = self.errorfunc(errtoken)
% 0.49/0.67 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.49/0.67 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.49/0.67 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------