TSTP Solution File: ITP042^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP042^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 13:24:01 EDT 2021
% Result : Unknown 0.48s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP042^1 : TPTP v7.5.0. Released v7.5.0.
% 0.10/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30 % Computer : n013.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Fri Mar 19 04:50:17 EDT 2021
% 0.11/0.30 % CPUTime :
% 0.11/0.31 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.17/0.31 Python 2.7.5
% 0.17/0.57 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x265bcf8>, <kernel.Type object at 0x2baa4e0f8a70>) of role type named ty_n_t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring produc1149990247eal_sz:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x265bfc8>, <kernel.Type object at 0x2baa4e0f8dd0>) of role type named ty_n_t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring produc133005365real_b:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x265bcf8>, <kernel.Type object at 0x2baa4e0f8f80>) of role type named ty_n_t__Bounded____Linear____Function__Oblinfun_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Real__Oreal_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring bounde472938360z_real:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2665d88>, <kernel.Type object at 0x2baa4e0f8d40>) of role type named ty_n_t__Set__Oset_It__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring set_De208295462t_unit:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x265bcf8>, <kernel.Type object at 0x2baa4e0f8e60>) of role type named ty_n_t__Set__Oset_It__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__a_Mtf__c_Mtf__b_Mt__Product____Type__Ounit_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring set_De153000604t_unit:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x265bcf8>, <kernel.Type object at 0x2baa4e0f89e0>) of role type named ty_n_t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring denota610675952t_unit:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f8d40>, <kernel.Type object at 0x2baa4e0f8998>) of role type named ty_n_t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__a_Mtf__c_Mtf__b_Mt__Product____Type__Ounit_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring denota723907260t_unit:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f8e60>, <kernel.Type object at 0x2baa4e0f89e0>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring set_Su111624115um_c_b:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2903998>, <kernel.Type object at 0x2baa4e0f8998>) of role type named ty_n_t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring set_Fi291318197eal_sz:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2903b00>, <kernel.Type object at 0x2baa4e0f89e0>) of role type named ty_n_t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring set_Fi268318752real_b:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f8a70>, <kernel.Type object at 0x263ecb0>) of role type named ty_n_t__Frechet____Correctness__Oids__Ogood____interp_Itf__sf_Mtf__sc_Mtf__sz_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring freche2095075217_sc_sz:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f83f8>, <kernel.Type object at 0x263ecb0>) of role type named ty_n_t__Frechet____Correctness__Oids__Ogood____interp_Itf__a_Mtf__c_Mtf__b_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring freche1734198479_a_c_b:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f89e0>, <kernel.Type object at 0x263ee18>) of role type named ty_n_t__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring sum_su1965225555um_c_b:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f8f80>, <kernel.Type object at 0x263ea70>) of role type named ty_n_t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J
% 0.17/0.57 Using role type
% 0.17/0.57 Declaring finite824932053eal_sz:Type
% 0.17/0.57 FOF formula (<kernel.Constant object at 0x2baa4e0f89e0>, <kernel.Type object at 0x263eb00>) of role type named ty_n_t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring finite1390225514real_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2baa4e0f83f8>, <kernel.Type object at 0x263edd0>) of role type named ty_n_t__Frechet____Correctness__Oids__Ostrm_Itf__sf_Mtf__sz_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring frechet_strm_sf_sz:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2baa4e0f89e0>, <kernel.Type object at 0x263eb00>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__sz_Mtf__sz_J_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_Sum_sum_sz_sz:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2baa4e0f89e0>, <kernel.Type object at 0x2660710>) of role type named ty_n_t__Frechet____Correctness__Oids__Ostrm_Itf__a_Mtf__b_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring frechet_strm_a_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ed40>, <kernel.Type object at 0x2660710>) of role type named ty_n_t__Set__Oset_It__Sum____Type__Osum_Itf__b_Mtf__b_J_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_Sum_sum_b_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ea70>, <kernel.Type object at 0x2660830>) of role type named ty_n_t__Set__Oset_It__Syntax__Otrm_Itf__sf_Mtf__sz_J_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_trm_sf_sz:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263e5a8>, <kernel.Type object at 0x2660680>) of role type named ty_n_t__Set__Oset_It__Syntax__Otrm_Itf__a_Mtf__b_J_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_trm_a_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ea70>, <kernel.Type object at 0x2660758>) of role type named ty_n_t__Sum____Type__Osum_Itf__b_Mtf__b_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring sum_sum_b_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ed40>, <kernel.Type object at 0x26605f0>) of role type named ty_n_t__Syntax__Otrm_Itf__sf_Mtf__sz_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring trm_sf_sz:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ea70>, <kernel.Type object at 0x26606c8>) of role type named ty_n_t__Syntax__Otrm_Itf__a_Mtf__b_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring trm_a_b:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x263ea70>, <kernel.Type object at 0x2660320>) of role type named ty_n_t__Set__Oset_Itf__sf_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_sf:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x26605f0>, <kernel.Type object at 0x26605a8>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring set_a:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x26606c8>, <kernel.Type object at 0x2660050>) of role type named ty_n_t__Real__Oreal
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring real:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660320>, <kernel.Type object at 0x2660368>) of role type named ty_n_tf__a
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring a:Type
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660830>, <kernel.DependentProduct object at 0x2660320>) of role type named sy_c_Denotational__Semantics_OIagree_001tf__a_001tf__c_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota896875430_a_c_b:(denota723907260t_unit->(denota723907260t_unit->(set_Su111624115um_c_b->Prop)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660e60>, <kernel.DependentProduct object at 0x26608c0>) of role type named sy_c_Denotational__Semantics_OVagree_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota1997846517gree_b:(produc133005365real_b->(produc133005365real_b->(set_Sum_sum_b_b->Prop)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660ea8>, <kernel.DependentProduct object at 0x2660950>) of role type named sy_c_Denotational__Semantics_OVagree_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota102713844ree_sz:(produc1149990247eal_sz->(produc1149990247eal_sz->(set_Sum_sum_sz_sz->Prop)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660320>, <kernel.DependentProduct object at 0x2660908>) of role type named sy_c_Denotational__Semantics_Ointerp_OFunctions_001tf__a_001tf__c_001tf__b_001t__Product____Type__Ounit
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota102976244t_unit:(denota723907260t_unit->(a->(finite1390225514real_b->real)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x26608c0>, <kernel.DependentProduct object at 0x2660e60>) of role type named sy_c_Denotational__Semantics_Ois__interp_001tf__a_001tf__c_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota1086158987_a_c_b:(denota723907260t_unit->Prop)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660830>, <kernel.DependentProduct object at 0x26601b8>) of role type named sy_c_Denotational__Semantics_Ois__interp_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota1579475975_sc_sz:(denota610675952t_unit->Prop)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660908>, <kernel.DependentProduct object at 0x2660f80>) of role type named sy_c_Denotational__Semantics_Osterm__sem_001tf__a_001tf__c_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota722380397_a_c_b:(denota723907260t_unit->(trm_a_b->(finite1390225514real_b->real)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660e60>, <kernel.DependentProduct object at 0x2660170>) of role type named sy_c_Denotational__Semantics_Osterm__sem_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring denota1179238309_sc_sz:(denota610675952t_unit->(trm_sf_sz->(finite824932053eal_sz->real)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660fc8>, <kernel.DependentProduct object at 0x2660b48>) of role type named sy_c_Frechet__Correctness_Oids_Oblin__frechet_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche585307148_sc_sz:(freche2095075217_sc_sz->(frechet_strm_sf_sz->(finite824932053eal_sz->bounde472938360z_real)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660200>, <kernel.DependentProduct object at 0x2660b90>) of role type named sy_c_Frechet__Correctness_Oids_Ocr__good__interp_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche58918398_sc_sz:(denota610675952t_unit->(freche2095075217_sc_sz->Prop))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660170>, <kernel.DependentProduct object at 0x2660cf8>) of role type named sy_c_Frechet__Correctness_Oids_Ocr__strm_001tf__a_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring frechet_cr_strm_a_b:(trm_a_b->(frechet_strm_a_b->Prop))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660908>, <kernel.DependentProduct object at 0x2660e60>) of role type named sy_c_Frechet__Correctness_Oids_Ocr__strm_001tf__sf_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche1244000341_sf_sz:(trm_sf_sz->(frechet_strm_sf_sz->Prop))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660b90>, <kernel.DependentProduct object at 0x2660998>) of role type named sy_c_Frechet__Correctness_Oids_Ogood__interp_Ogood__interp_001tf__a_001tf__c_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche153761090_a_c_b:(denota723907260t_unit->freche1734198479_a_c_b)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660cf8>, <kernel.DependentProduct object at 0x2660440>) of role type named sy_c_Frechet__Correctness_Oids_Ogood__interp_Ogood__interp_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche1784963216_sc_sz:(denota610675952t_unit->freche2095075217_sc_sz)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660e60>, <kernel.DependentProduct object at 0x2660c68>) of role type named sy_c_Frechet__Correctness_Oids_Ogood__interp_Oraw__interp_001tf__a_001tf__c_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche288321865_a_c_b:(freche1734198479_a_c_b->denota723907260t_unit)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660998>, <kernel.DependentProduct object at 0x2660290>) of role type named sy_c_Frechet__Correctness_Oids_Ogood__interp_Oraw__interp_001tf__sf_001tf__sc_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche1421597129_sc_sz:(freche2095075217_sc_sz->denota610675952t_unit)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660440>, <kernel.DependentProduct object at 0x2660488>) of role type named sy_c_Frechet__Correctness_Oids_Ostrm_Oraw__term_001tf__a_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring frechet_raw_term_a_b:(frechet_strm_a_b->trm_a_b)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660c68>, <kernel.DependentProduct object at 0x26607a0>) of role type named sy_c_Frechet__Correctness_Oids_Ostrm_Oraw__term_001tf__sf_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche782854530_sf_sz:(frechet_strm_sf_sz->trm_sf_sz)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660290>, <kernel.DependentProduct object at 0x26602d8>) of role type named sy_c_Frechet__Correctness_Oids_Ostrm_Osimple__term_001tf__a_001tf__b
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche665377491rm_a_b:(trm_a_b->frechet_strm_a_b)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660488>, <kernel.DependentProduct object at 0x26603b0>) of role type named sy_c_Frechet__Correctness_Oids_Ostrm_Osimple__term_001tf__sf_001tf__sz
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring freche1046279700_sf_sz:(trm_sf_sz->frechet_strm_sf_sz)
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x26607a0>, <kernel.DependentProduct object at 0x26603b0>) of role type named sy_c_If_001t__Bounded____Linear____Function__Oblinfun_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Real__Oreal_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring if_Bou1785791806z_real:(Prop->(bounde472938360z_real->(bounde472938360z_real->bounde472938360z_real)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660290>, <kernel.DependentProduct object at 0x26603f8>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_M_Eo_J
% 0.17/0.58 Using role type
% 0.17/0.58 Declaring sup_su1211201046_c_b_o:((sum_su1965225555um_c_b->Prop)->((sum_su1965225555um_c_b->Prop)->(sum_su1965225555um_c_b->Prop)))
% 0.17/0.58 FOF formula (<kernel.Constant object at 0x2660d40>, <kernel.DependentProduct object at 0x2660d88>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_It__Sum____Type__Osum_Itf__b_Mtf__b_J_M_Eo_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su2024788734_b_b_o:((sum_sum_b_b->Prop)->((sum_sum_b_b->Prop)->(sum_sum_b_b->Prop)))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x2660440>, <kernel.DependentProduct object at 0x26600e0>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_Itf__a_M_Eo_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_sup_a_o:((a->Prop)->((a->Prop)->(a->Prop)))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x26607e8>, <kernel.DependentProduct object at 0x2660488>) of role type named sy_c_Lattices_Osup__class_Osup_001_Eo
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_sup_o:(Prop->(Prop->Prop))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x2660d40>, <kernel.DependentProduct object at 0x26603f8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su2133361046real_b:(finite1390225514real_b->(finite1390225514real_b->finite1390225514real_b))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x26600e0>, <kernel.DependentProduct object at 0x2660518>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su1581595657real_b:(produc133005365real_b->(produc133005365real_b->produc133005365real_b))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x2660488>, <kernel.DependentProduct object at 0x26602d8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su1321388937eal_sz:(set_Fi291318197eal_sz->(set_Fi291318197eal_sz->set_Fi291318197eal_sz))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x26603f8>, <kernel.DependentProduct object at 0x2660440>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su296826759um_c_b:(set_Su111624115um_c_b->(set_Su111624115um_c_b->set_Su111624115um_c_b))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x2660518>, <kernel.DependentProduct object at 0x26607e8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Sum____Type__Osum_Itf__b_Mtf__b_J_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su2137030215um_b_b:(set_Sum_sum_b_b->(set_Sum_sum_b_b->set_Sum_sum_b_b))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x26602d8>, <kernel.DependentProduct object at 0x2660d40>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Sum____Type__Osum_Itf__sz_Mtf__sz_J_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_su1670953621_sz_sz:(set_Sum_sum_sz_sz->(set_Sum_sum_sz_sz->set_Sum_sum_sz_sz))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x2660bd8>, <kernel.DependentProduct object at 0x2660488>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__a_J
% 0.17/0.59 Using role type
% 0.17/0.59 Declaring sup_sup_set_a:(set_a->(set_a->set_a))
% 0.17/0.59 FOF formula (<kernel.Constant object at 0x26607e8>, <kernel.DependentProduct object at 0x26602d8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__sf_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring sup_sup_set_sf:(set_sf->(set_sf->set_sf))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660290>, <kernel.DependentProduct object at 0x2664ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le1534094666_c_b_o:((sum_su1965225555um_c_b->Prop)->((sum_su1965225555um_c_b->Prop)->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660518>, <kernel.DependentProduct object at 0x2664c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Sum____Type__Osum_Itf__b_Mtf__b_J_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le1306331338_b_b_o:((sum_sum_b_b->Prop)->((sum_sum_b_b->Prop)->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26607e8>, <kernel.DependentProduct object at 0x2664320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__a_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_less_eq_a_o:((a->Prop)->((a->Prop)->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660290>, <kernel.DependentProduct object at 0x2664d88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le767445194real_b:(finite1390225514real_b->(finite1390225514real_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26607e8>, <kernel.DependentProduct object at 0x2664d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Oprod_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le793200597real_b:(produc133005365real_b->(produc133005365real_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660290>, <kernel.DependentProduct object at 0x2664c20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Real__Oreal
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_less_eq_real:(real->(real->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660518>, <kernel.DependentProduct object at 0x2664ab8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le41263445eal_sz:(set_Fi291318197eal_sz->(set_Fi291318197eal_sz->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2660518>, <kernel.DependentProduct object at 0x2664758>) 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__c_Mtf__b_J_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le1404954451um_c_b:(set_Su111624115um_c_b->(set_Su111624115um_c_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664680>, <kernel.DependentProduct object at 0x2664320>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Sum____Type__Osum_Itf__b_Mtf__b_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le412705147um_b_b:(set_Sum_sum_b_b->(set_Sum_sum_b_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26646c8>, <kernel.DependentProduct object at 0x2664d88>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Syntax__Otrm_Itf__a_Mtf__b_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le230080206rm_a_b:(set_trm_a_b->(set_trm_a_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664758>, <kernel.DependentProduct object at 0x2664d40>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Syntax__Otrm_Itf__sf_Mtf__sz_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_le1697056455_sf_sz:(set_trm_sf_sz->(set_trm_sf_sz->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664320>, <kernel.DependentProduct object at 0x2664248>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__a_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring ord_less_eq_set_a:(set_a->(set_a->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664d88>, <kernel.DependentProduct object at 0x26647a0>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to646513176l_sz_o:(finite824932053eal_sz->Prop)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664d40>, <kernel.DependentProduct object at 0x26640e0>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to1849113498_c_b_o:(sum_su1965225555um_c_b->Prop)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664248>, <kernel.DependentProduct object at 0x2baa4e0fbd88>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_Itf__a_M_Eo_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_top_a_o:(a->Prop)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26647a0>, <kernel.Constant object at 0x2664d40>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to502572752real_b:set_Fi268318752real_b
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26640e0>, <kernel.Constant object at 0x2664d40>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to1873962757eal_sz:set_Fi291318197eal_sz
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664248>, <kernel.Constant object at 0x26647a0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to999478531um_c_b:set_Su111624115um_c_b
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26640e0>, <kernel.Constant object at 0x2baa4e0fbd88>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Sum____Type__Osum_Itf__b_Mtf__b_J_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_to301096907um_b_b:set_Sum_sum_b_b
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26647a0>, <kernel.Constant object at 0x2baa4e0fb248>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__a_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring top_top_set_a:set_a
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x26640e0>, <kernel.DependentProduct object at 0x2baa4e0fb3f8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring produc936751193real_b:(produc133005365real_b->finite1390225514real_b)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664d40>, <kernel.DependentProduct object at 0x2baa4e0fbc68>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring produc1111759555eal_sz:(produc1149990247eal_sz->finite824932053eal_sz)
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2664d40>, <kernel.DependentProduct object at 0x2baa4e0fbbd8>) of role type named sy_c_Relation_ODomainp_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J_001t__Frechet____Correctness__Oids__Ogood____interp_Itf__sf_Mtf__sc_Mtf__sz_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring domain413207655_sc_sz:((denota610675952t_unit->(freche2095075217_sc_sz->Prop))->(denota610675952t_unit->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2baa4e0fb3f8>, <kernel.DependentProduct object at 0x2baa4e0fbab8>) of role type named sy_c_Relation_ODomainp_001t__Syntax__Otrm_Itf__a_Mtf__b_J_001t__Frechet____Correctness__Oids__Ostrm_Itf__a_Mtf__b_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring domain134596861rm_a_b:((trm_a_b->(frechet_strm_a_b->Prop))->(trm_a_b->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa4e0fb170>) of role type named sy_c_Relation_ODomainp_001t__Syntax__Otrm_Itf__sf_Mtf__sz_J_001t__Frechet____Correctness__Oids__Ostrm_Itf__sf_Mtf__sz_J
% 0.43/0.59 Using role type
% 0.43/0.59 Declaring domain512309999_sf_sz:((trm_sf_sz->(frechet_strm_sf_sz->Prop))->(trm_sf_sz->Prop))
% 0.43/0.59 FOF formula (<kernel.Constant object at 0x2baa4e0fbd88>, <kernel.DependentProduct object at 0x2baa4e0fb998>) of role type named sy_c_Set_OCollect_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__a_Mtf__c_Mtf__b_Mt__Product____Type__Ounit_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collec944067751t_unit:((denota723907260t_unit->Prop)->set_De153000604t_unit)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbbd8>, <kernel.DependentProduct object at 0x2baa4e0fbb00>) of role type named sy_c_Set_OCollect_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collec1767975749t_unit:((denota610675952t_unit->Prop)->set_De208295462t_unit)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbcb0>, <kernel.DependentProduct object at 0x2baa4e0fb5f0>) of role type named sy_c_Set_OCollect_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collec1002602816eal_sz:((finite824932053eal_sz->Prop)->set_Fi291318197eal_sz)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbab8>, <kernel.DependentProduct object at 0x2661c20>) of role type named sy_c_Set_OCollect_001t__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collec1166375742um_c_b:((sum_su1965225555um_c_b->Prop)->set_Su111624115um_c_b)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb3f8>, <kernel.DependentProduct object at 0x2baa46628200>) of role type named sy_c_Set_OCollect_001t__Sum____Type__Osum_Itf__b_Mtf__b_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collect_Sum_sum_b_b:((sum_sum_b_b->Prop)->set_Sum_sum_b_b)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa46628248>) of role type named sy_c_Set_OCollect_001t__Syntax__Otrm_Itf__a_Mtf__b_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collect_trm_a_b:((trm_a_b->Prop)->set_trm_a_b)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbdd0>, <kernel.DependentProduct object at 0x2baa46628170>) of role type named sy_c_Set_OCollect_001t__Syntax__Otrm_Itf__sf_Mtf__sz_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collect_trm_sf_sz:((trm_sf_sz->Prop)->set_trm_sf_sz)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbcb0>, <kernel.DependentProduct object at 0x2baa466281b8>) of role type named sy_c_Set_OCollect_001tf__a
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring collect_a:((a->Prop)->set_a)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa466280e0>) of role type named sy_c_Static__Semantics_OFVT_001tf__a_001tf__b
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring static_FVT_a_b:(trm_a_b->set_Sum_sum_b_b)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbdd0>, <kernel.DependentProduct object at 0x2baa46628128>) of role type named sy_c_Static__Semantics_OFVT_001tf__sf_001tf__sz
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring static_FVT_sf_sz:(trm_sf_sz->set_Sum_sum_sz_sz)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa46628050>) of role type named sy_c_Static__Semantics_OSIGT_001tf__a_001tf__b
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring static_SIGT_a_b:(trm_a_b->set_a)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fbcb0>, <kernel.DependentProduct object at 0x2baa46628098>) of role type named sy_c_Static__Semantics_OSIGT_001tf__sf_001tf__sz
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring static_SIGT_sf_sz:(trm_sf_sz->set_sf)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa466282d8>) of role type named sy_c_Sum__Type_OInl_001tf__a_001t__Sum____Type__Osum_Itf__c_Mtf__b_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring sum_In811702836um_c_b:(a->sum_su1965225555um_c_b)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa4e0fb248>, <kernel.DependentProduct object at 0x2baa466281b8>) of role type named sy_c_Syntax_Odfree_001tf__a_001tf__b
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring dfree_a_b:(trm_a_b->Prop)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628098>, <kernel.DependentProduct object at 0x2baa46628320>) of role type named sy_c_Syntax_Odfree_001tf__sf_001tf__sz
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring dfree_sf_sz:(trm_sf_sz->Prop)
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa466282d8>, <kernel.DependentProduct object at 0x2baa46628050>) of role type named sy_c_Syntax_Otrm_OTimes_001tf__a_001tf__b
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring times_a_b:(trm_a_b->(trm_a_b->trm_a_b))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa466281b8>, <kernel.DependentProduct object at 0x2baa466283b0>) of role type named sy_c_Syntax_Otrm_OTimes_001tf__sf_001tf__sz
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring times_sf_sz:(trm_sf_sz->(trm_sf_sz->trm_sf_sz))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628320>, <kernel.DependentProduct object at 0x2baa466284d0>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__b_J_001t__Real__Oreal
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring topolo238266006b_real:(set_Fi268318752real_b->((finite1390225514real_b->real)->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628050>, <kernel.DependentProduct object at 0x2baa46628518>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_001t__Bounded____Linear____Function__Oblinfun_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Real__Oreal_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring topolo885751137z_real:(set_Fi291318197eal_sz->((finite824932053eal_sz->bounde472938360z_real)->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa466283b0>, <kernel.DependentProduct object at 0x2baa46628560>) of role type named sy_c_Topological__Spaces_Ocontinuous__on_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_001t__Real__Oreal
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring topolo1348430467z_real:(set_Fi291318197eal_sz->((finite824932053eal_sz->real)->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa466284d0>, <kernel.DependentProduct object at 0x2baa466285a8>) of role type named sy_c_Typedef_Otype__definition_001t__Frechet____Correctness__Oids__Ogood____interp_Itf__sf_Mtf__sc_Mtf__sz_J_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring type_d1092523951t_unit:((freche2095075217_sc_sz->denota610675952t_unit)->((denota610675952t_unit->freche2095075217_sc_sz)->(set_De208295462t_unit->Prop)))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628518>, <kernel.DependentProduct object at 0x2baa46628248>) of role type named sy_c_Typedef_Otype__definition_001t__Frechet____Correctness__Oids__Ostrm_Itf__a_Mtf__b_J_001t__Syntax__Otrm_Itf__a_Mtf__b_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring type_d2045870413rm_a_b:((frechet_strm_a_b->trm_a_b)->((trm_a_b->frechet_strm_a_b)->(set_trm_a_b->Prop)))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628050>, <kernel.DependentProduct object at 0x2baa466283f8>) of role type named sy_c_Typedef_Otype__definition_001t__Frechet____Correctness__Oids__Ostrm_Itf__sf_Mtf__sz_J_001t__Syntax__Otrm_Itf__sf_Mtf__sz_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring type_d46389773_sf_sz:((frechet_strm_sf_sz->trm_sf_sz)->((trm_sf_sz->frechet_strm_sf_sz)->(set_trm_sf_sz->Prop)))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa466280e0>, <kernel.DependentProduct object at 0x2baa46628638>) of role type named sy_c_member_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__a_Mtf__c_Mtf__b_Mt__Product____Type__Ounit_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring member122424677t_unit:(denota723907260t_unit->(set_De153000604t_unit->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628320>, <kernel.DependentProduct object at 0x2baa466284d0>) of role type named sy_c_member_001t__Denotational____Semantics__Ointerp__Ointerp____ext_Itf__sf_Mtf__sc_Mtf__sz_Mt__Product____Type__Ounit_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring member754147591t_unit:(denota610675952t_unit->(set_De208295462t_unit->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628248>, <kernel.DependentProduct object at 0x2baa46628518>) of role type named sy_c_member_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J
% 0.43/0.60 Using role type
% 0.43/0.60 Declaring member1693951742eal_sz:(finite824932053eal_sz->(set_Fi291318197eal_sz->Prop))
% 0.43/0.60 FOF formula (<kernel.Constant object at 0x2baa46628680>, <kernel.DependentProduct object at 0x2baa46628050>) of role type named sy_c_member_001t__Sum____Type__Osum_Itf__a_Mt__Sum____Type__Osum_Itf__c_Mtf__b_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring member973578748um_c_b:(sum_su1965225555um_c_b->(set_Su111624115um_c_b->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa466283b0>, <kernel.DependentProduct object at 0x2baa466280e0>) of role type named sy_c_member_001t__Sum____Type__Osum_Itf__b_Mtf__b_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring member_Sum_sum_b_b:(sum_sum_b_b->(set_Sum_sum_b_b->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa466286c8>, <kernel.DependentProduct object at 0x2baa46628320>) of role type named sy_c_member_001t__Syntax__Otrm_Itf__a_Mtf__b_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring member_trm_a_b:(trm_a_b->(set_trm_a_b->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa46628050>, <kernel.DependentProduct object at 0x2baa46628248>) of role type named sy_c_member_001t__Syntax__Otrm_Itf__sf_Mtf__sz_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring member_trm_sf_sz:(trm_sf_sz->(set_trm_sf_sz->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa466280e0>, <kernel.DependentProduct object at 0x2baa46628680>) of role type named sy_c_member_001tf__a
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring member_a:(a->(set_a->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa46628320>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v_I
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring i:denota723907260t_unit
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa46628050>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring j:denota723907260t_unit
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa466280e0>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v__092_060nu_062
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring nu:produc133005365real_b
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa46628320>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v__092_060nu_062_H
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring nu2:produc133005365real_b
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa46628050>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v__092_060theta_062_092_060_094sub_0621____
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring theta_1:trm_a_b
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa466280e0>, <kernel.Constant object at 0x2baa46628680>) of role type named sy_v__092_060theta_062_092_060_094sub_0622____
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring theta_2:trm_a_b
% 0.45/0.61 FOF formula (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit), ((((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))->(((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1)))))))))) of role axiom named fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062
% 0.45/0.61 A new axiom: (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit), ((((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))->(((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1))))))))))
% 0.45/0.61 FOF formula (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit), ((((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))->(((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2)))))))))) of role axiom named fact_1__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0622_125_092_060close_062
% 0.45/0.62 A new axiom: (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit), ((((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))->(((denota896875430_a_c_b _TPTP_I) J) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2))))))))))
% 0.45/0.62 FOF formula (((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((or ((member_a X) (static_SIGT_a_b theta_1))) ((member_a X) (static_SIGT_a_b theta_2))))))))) of role axiom named fact_2_IA
% 0.45/0.62 A new axiom: (((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((or ((member_a X) (static_SIGT_a_b theta_1))) ((member_a X) (static_SIGT_a_b theta_2)))))))))
% 0.45/0.62 FOF formula (((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2))))))))) of role axiom named fact_3_dfree__Times_Oprems_I2_J
% 0.45/0.62 A new axiom: (((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))
% 0.45/0.62 FOF formula (dfree_a_b theta_1) of role axiom named fact_4_dfree__Times_Ohyps_I1_J
% 0.45/0.62 A new axiom: (dfree_a_b theta_1)
% 0.45/0.62 FOF formula (forall (X1:a) (Y1:a), (((eq Prop) (((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b X1)) (sum_In811702836um_c_b Y1))) (((eq a) X1) Y1))) of role axiom named fact_5_sum_Oinject_I1_J
% 0.45/0.62 A new axiom: (forall (X1:a) (Y1:a), (((eq Prop) (((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b X1)) (sum_In811702836um_c_b Y1))) (((eq a) X1) Y1)))
% 0.45/0.62 FOF formula (forall (A:a) (A2:a), (((eq Prop) (((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b A)) (sum_In811702836um_c_b A2))) (((eq a) A) A2))) of role axiom named fact_6_old_Osum_Oinject_I1_J
% 0.45/0.62 A new axiom: (forall (A:a) (A2:a), (((eq Prop) (((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b A)) (sum_In811702836um_c_b A2))) (((eq a) A) A2)))
% 0.45/0.62 FOF formula ((ord_le1404954451um_c_b (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2)))))))) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2))))))))) of role axiom named fact_7_Isubs_I2_J
% 0.45/0.62 A new axiom: ((ord_le1404954451um_c_b (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2)))))))) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))
% 0.45/0.62 FOF formula ((ord_le1404954451um_c_b (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1)))))))) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2))))))))) of role axiom named fact_8_Isubs_I1_J
% 0.45/0.63 A new axiom: ((ord_le1404954451um_c_b (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1)))))))) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b ((times_a_b theta_1) theta_2)))))))))
% 0.45/0.63 FOF formula (forall (A3:denota723907260t_unit) (B:denota723907260t_unit) (V:set_Su111624115um_c_b), ((((denota896875430_a_c_b A3) B) V)->(((denota896875430_a_c_b B) A3) V))) of role axiom named fact_9_Iagree__comm
% 0.45/0.63 A new axiom: (forall (A3:denota723907260t_unit) (B:denota723907260t_unit) (V:set_Su111624115um_c_b), ((((denota896875430_a_c_b A3) B) V)->(((denota896875430_a_c_b B) A3) V)))
% 0.45/0.63 FOF formula (forall (_TPTP_I:denota723907260t_unit) (A3:set_Su111624115um_c_b), (((denota896875430_a_c_b _TPTP_I) _TPTP_I) A3)) of role axiom named fact_10_Iagree__refl
% 0.45/0.63 A new axiom: (forall (_TPTP_I:denota723907260t_unit) (A3:set_Su111624115um_c_b), (((denota896875430_a_c_b _TPTP_I) _TPTP_I) A3))
% 0.45/0.63 FOF formula (forall (X2:a) (Y:a), ((((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b X2)) (sum_In811702836um_c_b Y))->(((eq a) X2) Y))) of role axiom named fact_11_Inl__inject
% 0.45/0.63 A new axiom: (forall (X2:a) (Y:a), ((((eq sum_su1965225555um_c_b) (sum_In811702836um_c_b X2)) (sum_In811702836um_c_b Y))->(((eq a) X2) Y)))
% 0.45/0.63 FOF formula ((((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_1))->((((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1))))))))->(((eq real) (((denota722380397_a_c_b i) theta_1) (produc936751193real_b nu))) (((denota722380397_a_c_b j) theta_1) (produc936751193real_b nu2))))) of role axiom named fact_12_IH1
% 0.45/0.63 A new axiom: ((((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_1))->((((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_1))))))))->(((eq real) (((denota722380397_a_c_b i) theta_1) (produc936751193real_b nu))) (((denota722380397_a_c_b j) theta_1) (produc936751193real_b nu2)))))
% 0.45/0.63 FOF formula ((((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_2))->((((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2))))))))->(((eq real) (((denota722380397_a_c_b i) theta_2) (produc936751193real_b nu))) (((denota722380397_a_c_b j) theta_2) (produc936751193real_b nu2))))) of role axiom named fact_13_IH2
% 0.45/0.63 A new axiom: ((((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_2))->((((denota896875430_a_c_b i) j) (collec1166375742um_c_b (fun (Uu:sum_su1965225555um_c_b)=> ((ex a) (fun (X:a)=> ((and (((eq sum_su1965225555um_c_b) Uu) (sum_In811702836um_c_b X))) ((member_a X) (static_SIGT_a_b theta_2))))))))->(((eq real) (((denota722380397_a_c_b i) theta_2) (produc936751193real_b nu))) (((denota722380397_a_c_b j) theta_2) (produc936751193real_b nu2)))))
% 0.45/0.63 FOF formula (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit) (V:set_Su111624115um_c_b) (F:a), ((((denota896875430_a_c_b _TPTP_I) J) V)->(((member973578748um_c_b (sum_In811702836um_c_b F)) V)->(((eq (finite1390225514real_b->real)) ((denota102976244t_unit _TPTP_I) F)) ((denota102976244t_unit J) F))))) of role axiom named fact_14_Iagree__Func
% 0.48/0.64 A new axiom: (forall (_TPTP_I:denota723907260t_unit) (J:denota723907260t_unit) (V:set_Su111624115um_c_b) (F:a), ((((denota896875430_a_c_b _TPTP_I) J) V)->(((member973578748um_c_b (sum_In811702836um_c_b F)) V)->(((eq (finite1390225514real_b->real)) ((denota102976244t_unit _TPTP_I) F)) ((denota102976244t_unit J) F)))))
% 0.48/0.64 FOF formula (forall (X2:freche2095075217_sc_sz) (Y:freche2095075217_sc_sz), (((eq Prop) (((eq denota610675952t_unit) (freche1421597129_sc_sz X2)) (freche1421597129_sc_sz Y))) (((eq freche2095075217_sc_sz) X2) Y))) of role axiom named fact_15_raw__interp__inject
% 0.48/0.64 A new axiom: (forall (X2:freche2095075217_sc_sz) (Y:freche2095075217_sc_sz), (((eq Prop) (((eq denota610675952t_unit) (freche1421597129_sc_sz X2)) (freche1421597129_sc_sz Y))) (((eq freche2095075217_sc_sz) X2) Y)))
% 0.48/0.64 FOF formula (dfree_a_b theta_2) of role axiom named fact_16_dfree__Times_Ohyps_I2_J
% 0.48/0.64 A new axiom: (dfree_a_b theta_2)
% 0.48/0.64 FOF formula (forall (Nu:produc1149990247eal_sz) (Nu2:produc1149990247eal_sz) (Theta:trm_sf_sz) (_TPTP_I:denota610675952t_unit), ((((denota102713844ree_sz Nu) Nu2) (static_FVT_sf_sz Theta))->(((eq real) (((denota1179238309_sc_sz _TPTP_I) Theta) (produc1111759555eal_sz Nu))) (((denota1179238309_sc_sz _TPTP_I) Theta) (produc1111759555eal_sz Nu2))))) of role axiom named fact_17_coincidence__sterm
% 0.48/0.64 A new axiom: (forall (Nu:produc1149990247eal_sz) (Nu2:produc1149990247eal_sz) (Theta:trm_sf_sz) (_TPTP_I:denota610675952t_unit), ((((denota102713844ree_sz Nu) Nu2) (static_FVT_sf_sz Theta))->(((eq real) (((denota1179238309_sc_sz _TPTP_I) Theta) (produc1111759555eal_sz Nu))) (((denota1179238309_sc_sz _TPTP_I) Theta) (produc1111759555eal_sz Nu2)))))
% 0.48/0.64 FOF formula (forall (Nu:produc133005365real_b) (Nu2:produc133005365real_b) (Theta:trm_a_b) (_TPTP_I:denota723907260t_unit), ((((denota1997846517gree_b Nu) Nu2) (static_FVT_a_b Theta))->(((eq real) (((denota722380397_a_c_b _TPTP_I) Theta) (produc936751193real_b Nu))) (((denota722380397_a_c_b _TPTP_I) Theta) (produc936751193real_b Nu2))))) of role axiom named fact_18_coincidence__sterm
% 0.48/0.64 A new axiom: (forall (Nu:produc133005365real_b) (Nu2:produc133005365real_b) (Theta:trm_a_b) (_TPTP_I:denota723907260t_unit), ((((denota1997846517gree_b Nu) Nu2) (static_FVT_a_b Theta))->(((eq real) (((denota722380397_a_c_b _TPTP_I) Theta) (produc936751193real_b Nu))) (((denota722380397_a_c_b _TPTP_I) Theta) (produc936751193real_b Nu2)))))
% 0.48/0.64 FOF formula (((denota1997846517gree_b nu) nu2) (static_FVT_a_b ((times_a_b theta_1) theta_2))) of role axiom named fact_19_dfree__Times_Oprems_I1_J
% 0.48/0.64 A new axiom: (((denota1997846517gree_b nu) nu2) (static_FVT_a_b ((times_a_b theta_1) theta_2)))
% 0.48/0.64 FOF formula (((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_2)) of role axiom named fact_20_VAs_I2_J
% 0.48/0.64 A new axiom: (((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_2))
% 0.48/0.64 FOF formula (((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_1)) of role axiom named fact_21_VAs_I1_J
% 0.48/0.64 A new axiom: (((denota1997846517gree_b nu) nu2) (static_FVT_a_b theta_1))
% 0.48/0.64 FOF formula (((denota1997846517gree_b nu) nu2) ((sup_su2137030215um_b_b (static_FVT_a_b theta_1)) (static_FVT_a_b theta_2))) of role axiom named fact_22_VA
% 0.48/0.64 A new axiom: (((denota1997846517gree_b nu) nu2) ((sup_su2137030215um_b_b (static_FVT_a_b theta_1)) (static_FVT_a_b theta_2)))
% 0.48/0.64 FOF formula (forall (A3:set_Sum_sum_b_b) (B:set_Sum_sum_b_b) (Nu:produc133005365real_b) (Omega:produc133005365real_b), (((ord_le412705147um_b_b A3) B)->((((denota1997846517gree_b Nu) Omega) B)->(((denota1997846517gree_b Nu) Omega) A3)))) of role axiom named fact_23_agree__sub
% 0.48/0.64 A new axiom: (forall (A3:set_Sum_sum_b_b) (B:set_Sum_sum_b_b) (Nu:produc133005365real_b) (Omega:produc133005365real_b), (((ord_le412705147um_b_b A3) B)->((((denota1997846517gree_b Nu) Omega) B)->(((denota1997846517gree_b Nu) Omega) A3))))
% 0.48/0.64 FOF formula (forall (A3:produc133005365real_b) (B:produc133005365real_b) (V:set_Sum_sum_b_b), ((((denota1997846517gree_b A3) B) V)->(((denota1997846517gree_b B) A3) V))) of role axiom named fact_24_agree__comm
% 0.48/0.64 A new axiom: (forall (A3:produc133005365real_b) (B:produc133005365real_b) (V:set_Sum_sum_b_b), ((((denota1997846517gree_b A3) B) V)->(((denota1997846517gree_b B) A3) V)))
% 0.48/0.65 FOF formula (forall (Nu:produc133005365real_b) (A3:set_Sum_sum_b_b), (((denota1997846517gree_b Nu) Nu) A3)) of role axiom named fact_25_agree__refl
% 0.48/0.65 A new axiom: (forall (Nu:produc133005365real_b) (A3:set_Sum_sum_b_b), (((denota1997846517gree_b Nu) Nu) A3))
% 0.48/0.65 FOF formula (forall (B:set_Sum_sum_b_b) (A3:set_Sum_sum_b_b) (Nu:produc133005365real_b) (Nu2:produc133005365real_b), (((ord_le412705147um_b_b B) A3)->((((denota1997846517gree_b Nu) Nu2) A3)->(((denota1997846517gree_b Nu) Nu2) B)))) of role axiom named fact_26_agree__supset
% 0.48/0.65 A new axiom: (forall (B:set_Sum_sum_b_b) (A3:set_Sum_sum_b_b) (Nu:produc133005365real_b) (Nu2:produc133005365real_b), (((ord_le412705147um_b_b B) A3)->((((denota1997846517gree_b Nu) Nu2) A3)->(((denota1997846517gree_b Nu) Nu2) B))))
% 0.48/0.65 FOF formula (((eq (denota610675952t_unit->(freche2095075217_sc_sz->Prop))) freche58918398_sc_sz) (fun (X:denota610675952t_unit) (Y2:freche2095075217_sc_sz)=> (((eq denota610675952t_unit) X) (freche1421597129_sc_sz Y2)))) of role axiom named fact_27_cr__good__interp__def
% 0.48/0.65 A new axiom: (((eq (denota610675952t_unit->(freche2095075217_sc_sz->Prop))) freche58918398_sc_sz) (fun (X:denota610675952t_unit) (Y2:freche2095075217_sc_sz)=> (((eq denota610675952t_unit) X) (freche1421597129_sc_sz Y2))))
% 0.48/0.65 FOF formula (forall (A:trm_sf_sz) (B2:trm_sf_sz), (((eq Prop) (dfree_sf_sz ((times_sf_sz A) B2))) ((and (dfree_sf_sz A)) (dfree_sf_sz B2)))) of role axiom named fact_28_dfree__Times__simps
% 0.48/0.65 A new axiom: (forall (A:trm_sf_sz) (B2:trm_sf_sz), (((eq Prop) (dfree_sf_sz ((times_sf_sz A) B2))) ((and (dfree_sf_sz A)) (dfree_sf_sz B2))))
% 0.48/0.65 FOF formula (forall (A:trm_a_b) (B2:trm_a_b), (((eq Prop) (dfree_a_b ((times_a_b A) B2))) ((and (dfree_a_b A)) (dfree_a_b B2)))) of role axiom named fact_29_dfree__Times__simps
% 0.48/0.65 A new axiom: (forall (A:trm_a_b) (B2:trm_a_b), (((eq Prop) (dfree_a_b ((times_a_b A) B2))) ((and (dfree_a_b A)) (dfree_a_b B2))))
% 0.48/0.65 FOF formula (forall (X2:trm_a_b) (Y:trm_a_b), (((member_trm_a_b X2) (collect_trm_a_b dfree_a_b))->(((member_trm_a_b Y) (collect_trm_a_b dfree_a_b))->(((eq Prop) (((eq frechet_strm_a_b) (freche665377491rm_a_b X2)) (freche665377491rm_a_b Y))) (((eq trm_a_b) X2) Y))))) of role axiom named fact_30_simple__term__inject
% 0.48/0.65 A new axiom: (forall (X2:trm_a_b) (Y:trm_a_b), (((member_trm_a_b X2) (collect_trm_a_b dfree_a_b))->(((member_trm_a_b Y) (collect_trm_a_b dfree_a_b))->(((eq Prop) (((eq frechet_strm_a_b) (freche665377491rm_a_b X2)) (freche665377491rm_a_b Y))) (((eq trm_a_b) X2) Y)))))
% 0.48/0.65 FOF formula (forall (X2:trm_sf_sz) (Y:trm_sf_sz), (((member_trm_sf_sz X2) (collect_trm_sf_sz dfree_sf_sz))->(((member_trm_sf_sz Y) (collect_trm_sf_sz dfree_sf_sz))->(((eq Prop) (((eq frechet_strm_sf_sz) (freche1046279700_sf_sz X2)) (freche1046279700_sf_sz Y))) (((eq trm_sf_sz) X2) Y))))) of role axiom named fact_31_simple__term__inject
% 0.48/0.65 A new axiom: (forall (X2:trm_sf_sz) (Y:trm_sf_sz), (((member_trm_sf_sz X2) (collect_trm_sf_sz dfree_sf_sz))->(((member_trm_sf_sz Y) (collect_trm_sf_sz dfree_sf_sz))->(((eq Prop) (((eq frechet_strm_sf_sz) (freche1046279700_sf_sz X2)) (freche1046279700_sf_sz Y))) (((eq trm_sf_sz) X2) Y)))))
% 0.48/0.65 FOF formula (forall (P:(frechet_strm_a_b->Prop)) (X2:frechet_strm_a_b), ((forall (Y3:trm_a_b), (((member_trm_a_b Y3) (collect_trm_a_b dfree_a_b))->(P (freche665377491rm_a_b Y3))))->(P X2))) of role axiom named fact_32_simple__term__induct
% 0.48/0.65 A new axiom: (forall (P:(frechet_strm_a_b->Prop)) (X2:frechet_strm_a_b), ((forall (Y3:trm_a_b), (((member_trm_a_b Y3) (collect_trm_a_b dfree_a_b))->(P (freche665377491rm_a_b Y3))))->(P X2)))
% 0.48/0.65 FOF formula (forall (P:(frechet_strm_sf_sz->Prop)) (X2:frechet_strm_sf_sz), ((forall (Y3:trm_sf_sz), (((member_trm_sf_sz Y3) (collect_trm_sf_sz dfree_sf_sz))->(P (freche1046279700_sf_sz Y3))))->(P X2))) of role axiom named fact_33_simple__term__induct
% 0.48/0.65 A new axiom: (forall (P:(frechet_strm_sf_sz->Prop)) (X2:frechet_strm_sf_sz), ((forall (Y3:trm_sf_sz), (((member_trm_sf_sz Y3) (collect_trm_sf_sz dfree_sf_sz))->(P (freche1046279700_sf_sz Y3))))->(P X2)))
% 0.48/0.65 <<<rm_induct
% 0.48/0.65 thf(fact_34_simple__term__cases,axiom,(
% 0.48/0.65 ! [X2: frechet_strm_a_b] :
% 0.48/0.65 ~ !>>>!!!<<< [Y3: trm_a_b] :
% 0.48/0.65 ( ( X2
% 0.48/0.65 = ( freche665377491rm_a_b @ Y3 ) )
% 0.48/0.65 >>>
% 0.48/0.65 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]
% 0.48/0.65 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',1,32461), LexToken(LPAR,'(',1,32464), name, LexToken(COMMA,',',1,32492), formula_role, LexToken(COMMA,',',1,32498), LexToken(LPAR,'(',1,32499), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,32507), thf_variable_list, LexToken(RBRACKET,']',1,32528), LexToken(COLON,':',1,32530), unary_connective]
% 0.48/0.65 Unexpected exception Syntax error at '!':BANG
% 0.48/0.65 Traceback (most recent call last):
% 0.48/0.65 File "CASC.py", line 79, in <module>
% 0.48/0.65 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.48/0.65 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.48/0.65 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.48/0.65 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.48/0.65 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.48/0.65 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.48/0.65 tok = self.errorfunc(errtoken)
% 0.48/0.65 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.48/0.65 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.48/0.65 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------