TSTP Solution File: ITP176^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP176^1 : 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 13:24:25 EDT 2021
% Result : Unknown 0.56s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP176^1 : TPTP v7.5.0. Released v7.5.0.
% 0.00/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Mar 19 07:19:02 EDT 2021
% 0.12/0.34 % CPUTime :
% 0.20/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.20/0.35 Python 2.7.5
% 0.48/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6098>, <kernel.Type object at 0xec6f38>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr2109276827od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85c61c7170>, <kernel.Type object at 0xec6d40>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc970027067od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6ef0>, <kernel.Type object at 0xec6e60>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr1071216121od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6f38>, <kernel.Type object at 0xec6cf8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr2134561957od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6d40>, <kernel.Type object at 0xec6e60>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr1021918435od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6fc8>, <kernel.Type object at 0x1162758>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1052326083od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6cf8>, <kernel.Type object at 0x1162758>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1990339951od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6e60>, <kernel.Type object at 0x1162830>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr2060523537od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec63f8>, <kernel.Type object at 0x1162f38>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr1906739389_b_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6e60>, <kernel.Type object at 0x1162dd0>) of role type named ty_n_t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1605346267od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6cf8>, <kernel.Type object at 0x1162ef0>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mtf__b_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc276146823_b_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcbd878>, <kernel.Type object at 0x1162dd0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr306736955tant_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xec6cf8>, <kernel.Type object at 0x2b85cdcadea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr1324126435od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcadcf8>, <kernel.Type object at 0x1162dd0>) of role type named ty_n_t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring labele1835558936od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162758>, <kernel.Type object at 0x2b85cdcade18>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr2007082183od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcadea8>, <kernel.Type object at 0x1162830>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1367125253tant_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162dd0>, <kernel.Type object at 0x2b85cdcade18>) of role type named ty_n_t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1213276845od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162f38>, <kernel.Type object at 0xebc200>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc1168037607od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162dd0>, <kernel.Type object at 0xebc200>) of role type named ty_n_t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mtf__b_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring labele1159362096nt_a_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85c61c4680>, <kernel.Type object at 0xebcef0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr621705391od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162dd0>, <kernel.Type object at 0xebcd40>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Pr357419743_b_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x1162dd0>, <kernel.Type object at 0xebcef0>) of role type named ty_n_t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc255402447od_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcadea8>, <kernel.Type object at 0xec5b00>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mtf__b_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring produc2112523263_b_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcade18>, <kernel.Type object at 0xec5b00>) of role type named ty_n_t__Set__Oset_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_St761939237tant_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2b85cdcade18>, <kernel.Type object at 0xec5b48>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_Product_prod_b_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0xebcdd0>, <kernel.Type object at 0xec5d40>) of role type named ty_n_t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring standard_Constant_a:Type
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xebcef0>, <kernel.Type object at 0xec55a8>) of role type named ty_n_t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring product_prod_b_b:Type
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xebcc20>, <kernel.Type object at 0xec5560>) of role type named ty_n_t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring set_b:Type
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xebcef0>, <kernel.Type object at 0xec5878>) of role type named ty_n_tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring b:Type
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec55a8>, <kernel.DependentProduct object at 0xec5d40>) of role type named sy_c_Equiv__Relations_Ocongruent2_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001tf__b_001t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_1629197578_set_b:(set_Pr2109276827od_b_b->(set_Product_prod_b_b->((produc1213276845od_b_b->(b->set_b))->Prop)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5170>, <kernel.DependentProduct object at 0xec55f0>) of role type named sy_c_Equiv__Relations_Ocongruent2_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001tf__b_001t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_1036235914_set_b:(set_Pr2007082183od_b_b->(set_Product_prod_b_b->((product_prod_b_b->(b->set_b))->Prop)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5830>, <kernel.DependentProduct object at 0xec5950>) of role type named sy_c_Equiv__Relations_Ocongruent2_001tf__b_001tf__b_001t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_167626658_set_b:(set_Product_prod_b_b->(set_Product_prod_b_b->((b->(b->set_b))->Prop)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5d40>, <kernel.DependentProduct object at 0xec55a8>) of role type named sy_c_Equiv__Relations_Ocongruent_001tf__b_001t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_1821124534_set_b:(set_Product_prod_b_b->((b->set_b)->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec55f0>, <kernel.DependentProduct object at 0xec5638>) of role type named sy_c_Equiv__Relations_Oequiv_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_2048442231od_b_b:(set_Pr1324126435od_b_b->(set_Pr2109276827od_b_b->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5950>, <kernel.DependentProduct object at 0xec5440>) of role type named sy_c_Equiv__Relations_Oequiv_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_1125628061od_b_b:(set_Product_prod_b_b->(set_Pr2007082183od_b_b->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5b00>, <kernel.DependentProduct object at 0xec5830>) of role type named sy_c_Equiv__Relations_Oequiv_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_equiv_b:(set_b->(set_Product_prod_b_b->Prop))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5170>, <kernel.DependentProduct object at 0xec5d40>) of role type named sy_c_Equiv__Relations_Oproj_001tf__b_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring equiv_proj_b_b:(set_Product_prod_b_b->(b->set_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5680>, <kernel.DependentProduct object at 0xec5e60>) of role type named sy_c_Hilbert__Choice_OEps_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring hilber46179633od_b_b:((produc1213276845od_b_b->Prop)->produc1213276845od_b_b)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5830>, <kernel.DependentProduct object at 0xec5950>) of role type named sy_c_Hilbert__Choice_OEps_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring hilber620807523od_b_b:((product_prod_b_b->Prop)->product_prod_b_b)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5d88>, <kernel.DependentProduct object at 0xec5290>) of role type named sy_c_Hilbert__Choice_OEps_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring hilbert_Eps_b:((b->Prop)->b)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec55f0>, <kernel.DependentProduct object at 0xec5d88>) of role type named sy_c_If_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring if_b:(Prop->(b->(b->b)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5290>, <kernel.Constant object at 0xec5d88>) of role type named sy_c_LabeledGraphSemantics_OStandard__Constant_OS__Idt_001tf__a
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring standard_S_Idt_a:standard_Constant_a
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5560>, <kernel.DependentProduct object at 0xec5ef0>) of role type named sy_c_LabeledGraphSemantics_OgetRel_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring getRel904497637nt_a_b:(standard_Constant_a->(labele1159362096nt_a_b->set_Product_prod_b_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5170>, <kernel.DependentProduct object at 0xec55f0>) of role type named sy_c_LabeledGraphs_Ograph__homomorphism_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring graph_792023598_b_b_b:(labele1835558936od_b_b->(labele1159362096nt_a_b->(set_Pr357419743_b_b_b->Prop)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5b00>, <kernel.DependentProduct object at 0xec1c68>) of role type named sy_c_LabeledGraphs_Ograph__homomorphism_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring graph_222606102_a_b_b:(labele1159362096nt_a_b->(labele1159362096nt_a_b->(set_Product_prod_b_b->Prop)))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5ef0>, <kernel.DependentProduct object at 0xec55f0>) of role type named sy_c_LabeledGraphs_Olabeled__graph_OLG_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele170595300od_b_b:(set_Pr1021918435od_b_b->(set_Product_prod_b_b->labele1835558936od_b_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5170>, <kernel.DependentProduct object at 0xec1638>) of role type named sy_c_LabeledGraphs_Olabeled__graph_OLG_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele1230159100nt_a_b:(set_Pr1324126435od_b_b->(set_b->labele1159362096nt_a_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5b00>, <kernel.DependentProduct object at 0xec1998>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Ocase__labeled__graph_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele377702064od_b_b:((set_Pr1324126435od_b_b->(set_b->set_Pr1324126435od_b_b))->(labele1159362096nt_a_b->set_Pr1324126435od_b_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5170>, <kernel.DependentProduct object at 0xec1440>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Ocase__labeled__graph_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b_001t__Set__Oset_Itf__b_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele1287464530_set_b:((set_Pr1324126435od_b_b->(set_b->set_b))->(labele1159362096nt_a_b->set_b))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec5b00>, <kernel.DependentProduct object at 0xec1488>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Oedges_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele1741081071nt_a_b:(labele1159362096nt_a_b->set_Pr1324126435od_b_b)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec55f0>, <kernel.DependentProduct object at 0xec1950>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Overtices_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring labele1424214014nt_a_b:(labele1159362096nt_a_b->set_b)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0xec55f0>, <kernel.DependentProduct object at 0xec1098>) of role type named sy_c_LabeledGraphs_Orestrict_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001tf__b
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring restri446606278nt_a_b:(labele1159362096nt_a_b->labele1159362096nt_a_b)
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1488>, <kernel.DependentProduct object at 0xec14d0>) of role type named sy_c_Order__Relation_Olinear__order__on_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring order_609163036od_b_b:(set_Product_prod_b_b->(set_Pr2007082183od_b_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1950>, <kernel.DependentProduct object at 0xec15f0>) of role type named sy_c_Order__Relation_Olinear__order__on_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring order_653178932r_on_b:(set_b->(set_Product_prod_b_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1518>, <kernel.DependentProduct object at 0xec1c68>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_M_062_It__Product____Type__Oprod_Itf__b_Mtf__b_J_M_Eo_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1734638456_b_b_o:(standard_Constant_a->(product_prod_b_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1ea8>, <kernel.DependentProduct object at 0xec1fc8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_M_Eo_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1167600078_b_b_o:(produc1213276845od_b_b->Prop)
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec15f0>, <kernel.DependentProduct object at 0xec1050>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_Itf__b_Mtf__b_J_M_Eo_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1302443370_b_b_o:(product_prod_b_b->Prop)
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1c68>, <kernel.DependentProduct object at 0xec1440>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bot_b_b_o:(b->(b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_Itf__b_M_Eo_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bot_b_o:(b->Prop)
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1050>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1160111033tant_a:set_St761939237tant_a
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1c68>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1964903287od_b_b:set_Pr1021918435od_b_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1664927607od_b_b:set_Pr1324126435od_b_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1050>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1174586163od_b_b:set_Pr2007082183od_b_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1c68>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1124087115_b_b_b:set_Pr357419743_b_b_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bo1343651123od_b_b:set_Product_prod_b_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1050>, <kernel.Constant object at 0xec1b90>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_Itf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring bot_bot_set_b:set_b
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1c68>, <kernel.DependentProduct object at 0xec1a70>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring ord_le123089219od_b_b:(set_Pr1324126435od_b_b->(set_Pr1324126435od_b_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b48>, <kernel.DependentProduct object at 0xec1b00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring ord_le1036320359od_b_b:(set_Product_prod_b_b->(set_Product_prod_b_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1a28>, <kernel.DependentProduct object at 0xec1fc8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring ord_less_eq_set_b:(set_b->(set_b->Prop))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1248>, <kernel.DependentProduct object at 0xec1050>) of role type named sy_c_Product__Type_OPair_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1432590431od_b_b:(standard_Constant_a->(product_prod_b_b->produc1213276845od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b00>, <kernel.DependentProduct object at 0xec19e0>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc449289715od_b_b:(produc1213276845od_b_b->(produc1213276845od_b_b->produc970027067od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0xec1ef0>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1597690145od_b_b:(produc1213276845od_b_b->(product_prod_b_b->produc1990339951od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1050>, <kernel.DependentProduct object at 0xec1b48>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1580777273_b_b_b:(produc1213276845od_b_b->(b->produc276146823_b_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec19e0>, <kernel.DependentProduct object at 0xec1a28>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1977323903tant_a:(product_prod_b_b->(standard_Constant_a->produc1367125253tant_a))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1ef0>, <kernel.DependentProduct object at 0xec1248>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc732676669od_b_b:(product_prod_b_b->(produc1213276845od_b_b->produc1052326083od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b48>, <kernel.DependentProduct object at 0xec1b00>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc546497367od_b_b:(product_prod_b_b->(product_prod_b_b->produc1168037607od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1a28>, <kernel.DependentProduct object at 0xec1fc8>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1001682799_b_b_b:(product_prod_b_b->(b->produc2112523263_b_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1248>, <kernel.DependentProduct object at 0xec1050>) of role type named sy_c_Product__Type_OPair_001tf__b_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc800495189od_b_b:(b->(produc1213276845od_b_b->produc1605346267od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b00>, <kernel.DependentProduct object at 0xec19e0>) of role type named sy_c_Product__Type_OPair_001tf__b_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring produc1257047359od_b_b:(b->(product_prod_b_b->produc255402447od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0xec1ef0>) of role type named sy_c_Product__Type_OPair_001tf__b_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring product_Pair_b_b:(b->(b->product_prod_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1050>, <kernel.DependentProduct object at 0xec1b48>) of role type named sy_c_Relation_OImage_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_1916422435od_b_b:(set_Pr1324126435od_b_b->(set_St761939237tant_a->set_Product_prod_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec19e0>, <kernel.DependentProduct object at 0xec1a28>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_763305007od_b_b:(set_Pr2109276827od_b_b->(set_Pr1324126435od_b_b->set_Pr1324126435od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1ef0>, <kernel.DependentProduct object at 0xec1248>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_1397930469od_b_b:(set_Pr2134561957od_b_b->(set_Pr1324126435od_b_b->set_Product_prod_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b48>, <kernel.DependentProduct object at 0xec1b00>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_1764625405_b_b_b:(set_Pr1906739389_b_b_b->(set_Pr1324126435od_b_b->set_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1a28>, <kernel.DependentProduct object at 0xec1fc8>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_532916993od_b_b:(set_Pr1071216121od_b_b->(set_Product_prod_b_b->set_Pr1324126435od_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec13f8>, <kernel.DependentProduct object at 0xec1050>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_1928024979od_b_b:(set_Pr2007082183od_b_b->(set_Product_prod_b_b->set_Product_prod_b_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1b00>, <kernel.DependentProduct object at 0xec19e0>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001tf__b
% 0.50/0.65 Using role type
% 0.50/0.65 Declaring image_921732011_b_b_b:(set_Pr357419743_b_b_b->(set_Product_prod_b_b->set_b))
% 0.50/0.65 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0xec1ef0>) of role type named sy_c_Relation_OImage_001tf__b_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring image_984343321od_b_b:(set_Pr2060523537od_b_b->(set_b->set_Pr1324126435od_b_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1d88>, <kernel.DependentProduct object at 0xec1b48>) of role type named sy_c_Relation_OImage_001tf__b_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring image_1177096571od_b_b:(set_Pr621705391od_b_b->(set_b->set_Product_prod_b_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1d40>, <kernel.DependentProduct object at 0xec1a28>) of role type named sy_c_Relation_OImage_001tf__b_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring image_b_b:(set_Product_prod_b_b->(set_b->set_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1170>, <kernel.DependentProduct object at 0x2b85c61ed248>) of role type named sy_c_Relation_Oconverse_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring conver1398856763od_b_b:(set_Pr1324126435od_b_b->set_Pr306736955tant_a)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1b48>, <kernel.DependentProduct object at 0x2b85c61ed200>) of role type named sy_c_Relation_Oconverse_001t__Product____Type__Oprod_Itf__b_Mtf__b_J_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring conver1943590235tant_a:(set_Pr306736955tant_a->set_Pr1324126435od_b_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0x2b85c61ed170>) of role type named sy_c_Relation_Oconverse_001tf__b_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring converse_b_b:(set_Product_prod_b_b->set_Product_prod_b_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1d88>, <kernel.DependentProduct object at 0x2b85c61ed248>) of role type named sy_c_Relation_Orefl__on_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring refl_o1921098222od_b_b:(set_Pr1324126435od_b_b->(set_Pr2109276827od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1b48>, <kernel.DependentProduct object at 0x2b85c61ed0e0>) of role type named sy_c_Relation_Orefl__on_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring refl_o2134473190od_b_b:(set_Product_prod_b_b->(set_Pr2007082183od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1998>, <kernel.DependentProduct object at 0x2b85c61ed1b8>) of role type named sy_c_Relation_Orefl__on_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring refl_on_b:(set_b->(set_Product_prod_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1fc8>, <kernel.DependentProduct object at 0x2b85c61ed170>) of role type named sy_c_Relation_Ototal__on_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring total_771970601od_b_b:(set_Pr1324126435od_b_b->(set_Pr2109276827od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1998>, <kernel.DependentProduct object at 0x2b85c61ed248>) of role type named sy_c_Relation_Ototal__on_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring total_178717291od_b_b:(set_Product_prod_b_b->(set_Pr2007082183od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1998>, <kernel.DependentProduct object at 0x2b85c61ed128>) of role type named sy_c_Relation_Ototal__on_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring total_on_b:(set_b->(set_Product_prod_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0xec1998>, <kernel.DependentProduct object at 0x2b85c61ed368>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring collec279084418od_b_b:((produc1213276845od_b_b->Prop)->set_Pr1324126435od_b_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed248>, <kernel.DependentProduct object at 0x2b85c61ed320>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring collec1481886546od_b_b:((product_prod_b_b->Prop)->set_Product_prod_b_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed050>, <kernel.DependentProduct object at 0x2b85c61ed3b0>) of role type named sy_c_Set_OCollect_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring collect_b:((b->Prop)->set_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed200>, <kernel.DependentProduct object at 0x2b85c61ed128>) of role type named sy_c_Set_Oinsert_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring insert1909710879tant_a:(standard_Constant_a->(set_St761939237tant_a->set_St761939237tant_a))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed170>, <kernel.DependentProduct object at 0x2b85c61ed3f8>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring insert2037698781od_b_b:(produc1213276845od_b_b->(set_Pr1324126435od_b_b->set_Pr1324126435od_b_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed3b0>, <kernel.DependentProduct object at 0x2b85c61ed440>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring insert1098249399od_b_b:(produc1168037607od_b_b->(set_Pr2007082183od_b_b->set_Pr2007082183od_b_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed128>, <kernel.DependentProduct object at 0x2b85c61ed248>) of role type named sy_c_Set_Oinsert_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring insert1952693431od_b_b:(product_prod_b_b->(set_Product_prod_b_b->set_Product_prod_b_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed3f8>, <kernel.DependentProduct object at 0x2b85c61ed050>) of role type named sy_c_Set_Oinsert_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring insert_b:(b->(set_b->set_b))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed440>, <kernel.DependentProduct object at 0x2b85c61ed5a8>) of role type named sy_c_Set_Ois__singleton_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring is_sin1465183929od_b_b:(set_Pr1324126435od_b_b->Prop)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed248>, <kernel.DependentProduct object at 0x2b85c61ed170>) of role type named sy_c_Set_Ois__singleton_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring is_sin1713057243od_b_b:(set_Product_prod_b_b->Prop)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed1b8>, <kernel.DependentProduct object at 0x2b85c61ed5f0>) of role type named sy_c_Set_Ois__singleton_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring is_singleton_b:(set_b->Prop)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed098>, <kernel.DependentProduct object at 0x2b85c61ed638>) of role type named sy_c_Set_Othe__elem_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring the_el329196508od_b_b:(set_Product_prod_b_b->product_prod_b_b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed050>, <kernel.DependentProduct object at 0x2b85c61ed6c8>) of role type named sy_c_Set_Othe__elem_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring the_elem_b:(set_b->b)
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed3b0>, <kernel.DependentProduct object at 0x2b85c61ed5f0>) of role type named sy_c_member_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1632892294tant_a:(standard_Constant_a->(set_St761939237tant_a->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed638>, <kernel.DependentProduct object at 0x2b85c61ed248>) of role type named sy_c_member_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1516365892od_b_b:(produc1213276845od_b_b->(set_Pr1324126435od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed680>, <kernel.DependentProduct object at 0x2b85c61ed6c8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1086024932od_b_b:(produc970027067od_b_b->(set_Pr2109276827od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed710>, <kernel.DependentProduct object at 0x2b85c61ed1b8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member942707974od_b_b:(produc1990339951od_b_b->(set_Pr2134561957od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed758>, <kernel.DependentProduct object at 0x2b85c61ed3b0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1417789726_b_b_b:(produc276146823_b_b_b->(set_Pr1906739389_b_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed7a0>, <kernel.DependentProduct object at 0x2b85c61ed638>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1670214300tant_a:(produc1367125253tant_a->(set_Pr306736955tant_a->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed7e8>, <kernel.DependentProduct object at 0x2b85c61ed680>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member4694106od_b_b:(produc1052326083od_b_b->(set_Pr1071216121od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed830>, <kernel.DependentProduct object at 0x2b85c61ed710>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1652792080od_b_b:(produc1168037607od_b_b->(set_Pr2007082183od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed878>, <kernel.DependentProduct object at 0x2b85c61ed758>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mtf__b_J_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member351494440_b_b_b:(produc2112523263_b_b_b->(set_Pr357419743_b_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed8c0>, <kernel.DependentProduct object at 0x2b85c61ed7a0>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member599505522od_b_b:(produc1605346267od_b_b->(set_Pr2060523537od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed908>, <kernel.DependentProduct object at 0x2b85c61ed7e8>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member641857272od_b_b:(produc255402447od_b_b->(set_Pr621705391od_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed950>, <kernel.DependentProduct object at 0x2b85c61ed830>) of role type named sy_c_member_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member1285940496od_b_b:(product_prod_b_b->(set_Product_prod_b_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed998>, <kernel.DependentProduct object at 0x2b85c61ed878>) of role type named sy_c_member_001tf__b
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring member_b:(b->(set_b->Prop))
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed9e0>, <kernel.Constant object at 0x2b85c61ed878>) of role type named sy_v_G
% 0.50/0.66 Using role type
% 0.50/0.66 Declaring g:labele1159362096nt_a_b
% 0.50/0.66 FOF formula (<kernel.Constant object at 0x2b85c61ed950>, <kernel.DependentProduct object at 0x2b85c61ed830>) of role type named sy_v_P____
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring p:(b->(b->Prop))
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b85c61ed908>, <kernel.DependentProduct object at 0x2b85c61edab8>) of role type named sy_v_f____
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring f:(b->b)
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b85c61ed878>, <kernel.Constant object at 0x2b85c61edab8>) of role type named sy_v_x____
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring x:b
% 0.50/0.67 FOF formula (<kernel.Constant object at 0x2b85c61ed950>, <kernel.Constant object at 0x2b85c61edab8>) of role type named sy_v_y____
% 0.50/0.67 Using role type
% 0.50/0.67 Declaring y:b
% 0.50/0.67 FOF formula (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b x) bot_bot_set_b))) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b y) bot_bot_set_b))) of role axiom named fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062
% 0.50/0.67 A new axiom: (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b x) bot_bot_set_b))) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b y) bot_bot_set_b)))
% 0.50/0.67 FOF formula (((eq labele1159362096nt_a_b) g) (restri446606278nt_a_b g)) of role axiom named fact_1_assms_I1_J
% 0.50/0.67 A new axiom: (((eq labele1159362096nt_a_b) g) (restri446606278nt_a_b g))
% 0.50/0.67 FOF formula (forall (X:b), ((not (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X) bot_bot_set_b))) bot_bot_set_b))->(((eq b) (hilbert_Eps_b (p (hilbert_Eps_b (p X))))) (hilbert_Eps_b (p X))))) of role axiom named fact_2_P__eq
% 0.50/0.67 A new axiom: (forall (X:b), ((not (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X) bot_bot_set_b))) bot_bot_set_b))->(((eq b) (hilbert_Eps_b (p (hilbert_Eps_b (p X))))) (hilbert_Eps_b (p X)))))
% 0.50/0.67 FOF formula (((eq (b->(b->Prop))) p) (fun (X2:b) (Y:b)=> ((member_b Y) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b))))) of role axiom named fact_3_P
% 0.50/0.67 A new axiom: (((eq (b->(b->Prop))) p) (fun (X2:b) (Y:b)=> ((member_b Y) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b)))))
% 0.50/0.67 FOF formula ((member1285940496od_b_b ((product_Pair_b_b x) y)) ((getRel904497637nt_a_b standard_S_Idt_a) g)) of role axiom named fact_4__092_060open_062_Ix_M_Ay_J_A_092_060in_062_AgetRel_AS__Idt_AG_092_060close_062
% 0.50/0.67 A new axiom: ((member1285940496od_b_b ((product_Pair_b_b x) y)) ((getRel904497637nt_a_b standard_S_Idt_a) g))
% 0.50/0.67 FOF formula (((eq (b->b)) f) (fun (X2:b)=> (((if_b (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b))) bot_bot_set_b)) X2) (hilbert_Eps_b (p X2))))) of role axiom named fact_5__092_060open_062f_A_092_060equiv_062_A_092_060lambda_062x_O_Aif_AgetRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_A_123_125_Athen_Ax_Aelse_AEps_A_IP_Ax_J_092_060close_062
% 0.50/0.67 A new axiom: (((eq (b->b)) f) (fun (X2:b)=> (((if_b (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b))) bot_bot_set_b)) X2) (hilbert_Eps_b (p X2)))))
% 0.50/0.67 FOF formula (forall (A:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b (fun (X2:product_prod_b_b)=> (((eq product_prod_b_b) X2) A)))) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b))) of role axiom named fact_6_singleton__conv
% 0.50/0.67 A new axiom: (forall (A:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b (fun (X2:product_prod_b_b)=> (((eq product_prod_b_b) X2) A)))) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))
% 0.50/0.67 FOF formula (forall (A:b), (((eq set_b) (collect_b (fun (X2:b)=> (((eq b) X2) A)))) ((insert_b A) bot_bot_set_b))) of role axiom named fact_7_singleton__conv
% 0.50/0.67 A new axiom: (forall (A:b), (((eq set_b) (collect_b (fun (X2:b)=> (((eq b) X2) A)))) ((insert_b A) bot_bot_set_b)))
% 0.50/0.67 FOF formula (forall (A:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b ((fun (Y2:product_prod_b_b) (Z:product_prod_b_b)=> (((eq product_prod_b_b) Y2) Z)) A))) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b))) of role axiom named fact_8_singleton__conv2
% 0.50/0.68 A new axiom: (forall (A:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b ((fun (Y2:product_prod_b_b) (Z:product_prod_b_b)=> (((eq product_prod_b_b) Y2) Z)) A))) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))
% 0.50/0.68 FOF formula (forall (A:b), (((eq set_b) (collect_b ((fun (Y2:b) (Z:b)=> (((eq b) Y2) Z)) A))) ((insert_b A) bot_bot_set_b))) of role axiom named fact_9_singleton__conv2
% 0.50/0.68 A new axiom: (forall (A:b), (((eq set_b) (collect_b ((fun (Y2:b) (Z:b)=> (((eq b) Y2) Z)) A))) ((insert_b A) bot_bot_set_b)))
% 0.50/0.68 FOF formula (forall (X:product_prod_b_b) (Z2:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b (fun (Y:product_prod_b_b)=> ((or (((eq product_prod_b_b) Y) X)) (((eq product_prod_b_b) Y) Z2))))) ((insert1952693431od_b_b X) ((insert1952693431od_b_b Z2) bot_bo1343651123od_b_b)))) of role axiom named fact_10_tuple__disj
% 0.50/0.68 A new axiom: (forall (X:product_prod_b_b) (Z2:product_prod_b_b), (((eq set_Product_prod_b_b) (collec1481886546od_b_b (fun (Y:product_prod_b_b)=> ((or (((eq product_prod_b_b) Y) X)) (((eq product_prod_b_b) Y) Z2))))) ((insert1952693431od_b_b X) ((insert1952693431od_b_b Z2) bot_bo1343651123od_b_b))))
% 0.50/0.68 FOF formula (forall (X:b) (Z2:b), (((eq set_b) (collect_b (fun (Y:b)=> ((or (((eq b) Y) X)) (((eq b) Y) Z2))))) ((insert_b X) ((insert_b Z2) bot_bot_set_b)))) of role axiom named fact_11_tuple__disj
% 0.50/0.68 A new axiom: (forall (X:b) (Z2:b), (((eq set_b) (collect_b (fun (Y:b)=> ((or (((eq b) Y) X)) (((eq b) Y) Z2))))) ((insert_b X) ((insert_b Z2) bot_bot_set_b))))
% 0.50/0.68 FOF formula (forall (X3:set_b), (((eq set_b) ((image_b_b bot_bo1343651123od_b_b) X3)) bot_bot_set_b)) of role axiom named fact_12_Image__empty1
% 0.50/0.68 A new axiom: (forall (X3:set_b), (((eq set_b) ((image_b_b bot_bo1343651123od_b_b) X3)) bot_bot_set_b))
% 0.50/0.68 FOF formula (forall (R:set_Product_prod_b_b), (((eq set_b) ((image_b_b R) bot_bot_set_b)) bot_bot_set_b)) of role axiom named fact_13_Image__empty2
% 0.50/0.68 A new axiom: (forall (R:set_Product_prod_b_b), (((eq set_b) ((image_b_b R) bot_bot_set_b)) bot_bot_set_b))
% 0.50/0.68 FOF formula (forall (R:set_Pr621705391od_b_b), (((eq set_Product_prod_b_b) ((image_1177096571od_b_b R) bot_bot_set_b)) bot_bo1343651123od_b_b)) of role axiom named fact_14_Image__empty2
% 0.50/0.68 A new axiom: (forall (R:set_Pr621705391od_b_b), (((eq set_Product_prod_b_b) ((image_1177096571od_b_b R) bot_bot_set_b)) bot_bo1343651123od_b_b))
% 0.50/0.68 FOF formula (forall (R:set_Pr357419743_b_b_b), (((eq set_b) ((image_921732011_b_b_b R) bot_bo1343651123od_b_b)) bot_bot_set_b)) of role axiom named fact_15_Image__empty2
% 0.50/0.68 A new axiom: (forall (R:set_Pr357419743_b_b_b), (((eq set_b) ((image_921732011_b_b_b R) bot_bo1343651123od_b_b)) bot_bot_set_b))
% 0.50/0.68 FOF formula (forall (R:set_Pr2007082183od_b_b), (((eq set_Product_prod_b_b) ((image_1928024979od_b_b R) bot_bo1343651123od_b_b)) bot_bo1343651123od_b_b)) of role axiom named fact_16_Image__empty2
% 0.50/0.68 A new axiom: (forall (R:set_Pr2007082183od_b_b), (((eq set_Product_prod_b_b) ((image_1928024979od_b_b R) bot_bo1343651123od_b_b)) bot_bo1343651123od_b_b))
% 0.50/0.68 FOF formula (forall (A:produc1213276845od_b_b), ((member1516365892od_b_b A) ((insert2037698781od_b_b A) bot_bo1664927607od_b_b))) of role axiom named fact_17_singletonI
% 0.50/0.68 A new axiom: (forall (A:produc1213276845od_b_b), ((member1516365892od_b_b A) ((insert2037698781od_b_b A) bot_bo1664927607od_b_b)))
% 0.50/0.68 FOF formula (forall (A:b), ((member_b A) ((insert_b A) bot_bot_set_b))) of role axiom named fact_18_singletonI
% 0.50/0.68 A new axiom: (forall (A:b), ((member_b A) ((insert_b A) bot_bot_set_b)))
% 0.50/0.68 FOF formula (forall (A:product_prod_b_b), ((member1285940496od_b_b A) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b))) of role axiom named fact_19_singletonI
% 0.50/0.68 A new axiom: (forall (A:product_prod_b_b), ((member1285940496od_b_b A) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))
% 0.50/0.68 FOF formula (forall (P:(b->Prop)) (A:b), ((P A)->((forall (X4:b), ((P X4)->(((eq b) X4) A)))->(((eq b) (hilbert_Eps_b P)) A)))) of role axiom named fact_20_some__equality
% 0.50/0.68 A new axiom: (forall (P:(b->Prop)) (A:b), ((P A)->((forall (X4:b), ((P X4)->(((eq b) X4) A)))->(((eq b) (hilbert_Eps_b P)) A))))
% 0.50/0.69 FOF formula (forall (X:b), (((eq b) (hilbert_Eps_b (fun (Y:b)=> (((eq b) Y) X)))) X)) of role axiom named fact_21_some__eq__trivial
% 0.50/0.69 A new axiom: (forall (X:b), (((eq b) (hilbert_Eps_b (fun (Y:b)=> (((eq b) Y) X)))) X))
% 0.50/0.69 FOF formula (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) bot_bot_set_b) (collect_b P))) (forall (X2:b), ((P X2)->False)))) of role axiom named fact_22_empty__Collect__eq
% 0.50/0.69 A new axiom: (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) bot_bot_set_b) (collect_b P))) (forall (X2:b), ((P X2)->False))))
% 0.50/0.69 FOF formula (forall (P:(product_prod_b_b->Prop)), (((eq Prop) (((eq set_Product_prod_b_b) bot_bo1343651123od_b_b) (collec1481886546od_b_b P))) (forall (X2:product_prod_b_b), ((P X2)->False)))) of role axiom named fact_23_empty__Collect__eq
% 0.50/0.69 A new axiom: (forall (P:(product_prod_b_b->Prop)), (((eq Prop) (((eq set_Product_prod_b_b) bot_bo1343651123od_b_b) (collec1481886546od_b_b P))) (forall (X2:product_prod_b_b), ((P X2)->False))))
% 0.50/0.69 FOF formula (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) (collect_b P)) bot_bot_set_b)) (forall (X2:b), ((P X2)->False)))) of role axiom named fact_24_Collect__empty__eq
% 0.50/0.69 A new axiom: (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) (collect_b P)) bot_bot_set_b)) (forall (X2:b), ((P X2)->False))))
% 0.50/0.69 FOF formula (forall (P:(product_prod_b_b->Prop)), (((eq Prop) (((eq set_Product_prod_b_b) (collec1481886546od_b_b P)) bot_bo1343651123od_b_b)) (forall (X2:product_prod_b_b), ((P X2)->False)))) of role axiom named fact_25_Collect__empty__eq
% 0.50/0.69 A new axiom: (forall (P:(product_prod_b_b->Prop)), (((eq Prop) (((eq set_Product_prod_b_b) (collec1481886546od_b_b P)) bot_bo1343651123od_b_b)) (forall (X2:product_prod_b_b), ((P X2)->False))))
% 0.50/0.69 FOF formula (forall (A2:set_Pr1324126435od_b_b), (((eq Prop) (forall (X2:produc1213276845od_b_b), (((member1516365892od_b_b X2) A2)->False))) (((eq set_Pr1324126435od_b_b) A2) bot_bo1664927607od_b_b))) of role axiom named fact_26_all__not__in__conv
% 0.50/0.69 A new axiom: (forall (A2:set_Pr1324126435od_b_b), (((eq Prop) (forall (X2:produc1213276845od_b_b), (((member1516365892od_b_b X2) A2)->False))) (((eq set_Pr1324126435od_b_b) A2) bot_bo1664927607od_b_b)))
% 0.50/0.69 FOF formula (forall (A2:set_b), (((eq Prop) (forall (X2:b), (((member_b X2) A2)->False))) (((eq set_b) A2) bot_bot_set_b))) of role axiom named fact_27_all__not__in__conv
% 0.50/0.69 A new axiom: (forall (A2:set_b), (((eq Prop) (forall (X2:b), (((member_b X2) A2)->False))) (((eq set_b) A2) bot_bot_set_b)))
% 0.50/0.69 FOF formula (forall (A2:set_Product_prod_b_b), (((eq Prop) (forall (X2:product_prod_b_b), (((member1285940496od_b_b X2) A2)->False))) (((eq set_Product_prod_b_b) A2) bot_bo1343651123od_b_b))) of role axiom named fact_28_all__not__in__conv
% 0.50/0.69 A new axiom: (forall (A2:set_Product_prod_b_b), (((eq Prop) (forall (X2:product_prod_b_b), (((member1285940496od_b_b X2) A2)->False))) (((eq set_Product_prod_b_b) A2) bot_bo1343651123od_b_b)))
% 0.50/0.69 FOF formula (forall (C:produc1213276845od_b_b), (((member1516365892od_b_b C) bot_bo1664927607od_b_b)->False)) of role axiom named fact_29_empty__iff
% 0.50/0.69 A new axiom: (forall (C:produc1213276845od_b_b), (((member1516365892od_b_b C) bot_bo1664927607od_b_b)->False))
% 0.50/0.69 FOF formula (forall (C:b), (((member_b C) bot_bot_set_b)->False)) of role axiom named fact_30_empty__iff
% 0.50/0.69 A new axiom: (forall (C:b), (((member_b C) bot_bot_set_b)->False))
% 0.50/0.69 FOF formula (forall (C:product_prod_b_b), (((member1285940496od_b_b C) bot_bo1343651123od_b_b)->False)) of role axiom named fact_31_empty__iff
% 0.50/0.69 A new axiom: (forall (C:product_prod_b_b), (((member1285940496od_b_b C) bot_bo1343651123od_b_b)->False))
% 0.50/0.69 FOF formula (forall (X:b) (A2:set_b), (((eq set_b) ((insert_b X) ((insert_b X) A2))) ((insert_b X) A2))) of role axiom named fact_32_insert__absorb2
% 0.50/0.69 A new axiom: (forall (X:b) (A2:set_b), (((eq set_b) ((insert_b X) ((insert_b X) A2))) ((insert_b X) A2)))
% 0.50/0.69 FOF formula (forall (A:b) (B:b) (A2:set_b), (((eq Prop) ((member_b A) ((insert_b B) A2))) ((or (((eq b) A) B)) ((member_b A) A2)))) of role axiom named fact_33_insert__iff
% 0.50/0.69 A new axiom: (forall (A:b) (B:b) (A2:set_b), (((eq Prop) ((member_b A) ((insert_b B) A2))) ((or (((eq b) A) B)) ((member_b A) A2))))
% 0.50/0.71 FOF formula (forall (A:product_prod_b_b) (B:product_prod_b_b) (A2:set_Product_prod_b_b), (((eq Prop) ((member1285940496od_b_b A) ((insert1952693431od_b_b B) A2))) ((or (((eq product_prod_b_b) A) B)) ((member1285940496od_b_b A) A2)))) of role axiom named fact_34_insert__iff
% 0.50/0.71 A new axiom: (forall (A:product_prod_b_b) (B:product_prod_b_b) (A2:set_Product_prod_b_b), (((eq Prop) ((member1285940496od_b_b A) ((insert1952693431od_b_b B) A2))) ((or (((eq product_prod_b_b) A) B)) ((member1285940496od_b_b A) A2))))
% 0.50/0.71 FOF formula (forall (A:produc1213276845od_b_b) (B:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b), (((eq Prop) ((member1516365892od_b_b A) ((insert2037698781od_b_b B) A2))) ((or (((eq produc1213276845od_b_b) A) B)) ((member1516365892od_b_b A) A2)))) of role axiom named fact_35_insert__iff
% 0.50/0.71 A new axiom: (forall (A:produc1213276845od_b_b) (B:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b), (((eq Prop) ((member1516365892od_b_b A) ((insert2037698781od_b_b B) A2))) ((or (((eq produc1213276845od_b_b) A) B)) ((member1516365892od_b_b A) A2))))
% 0.50/0.71 FOF formula (forall (A:b) (B2:set_b) (B:b), (((((member_b A) B2)->False)->(((eq b) A) B))->((member_b A) ((insert_b B) B2)))) of role axiom named fact_36_insertCI
% 0.50/0.71 A new axiom: (forall (A:b) (B2:set_b) (B:b), (((((member_b A) B2)->False)->(((eq b) A) B))->((member_b A) ((insert_b B) B2))))
% 0.50/0.71 FOF formula (forall (A:product_prod_b_b) (B2:set_Product_prod_b_b) (B:product_prod_b_b), (((((member1285940496od_b_b A) B2)->False)->(((eq product_prod_b_b) A) B))->((member1285940496od_b_b A) ((insert1952693431od_b_b B) B2)))) of role axiom named fact_37_insertCI
% 0.50/0.71 A new axiom: (forall (A:product_prod_b_b) (B2:set_Product_prod_b_b) (B:product_prod_b_b), (((((member1285940496od_b_b A) B2)->False)->(((eq product_prod_b_b) A) B))->((member1285940496od_b_b A) ((insert1952693431od_b_b B) B2))))
% 0.50/0.71 FOF formula (forall (A:produc1213276845od_b_b) (B2:set_Pr1324126435od_b_b) (B:produc1213276845od_b_b), (((((member1516365892od_b_b A) B2)->False)->(((eq produc1213276845od_b_b) A) B))->((member1516365892od_b_b A) ((insert2037698781od_b_b B) B2)))) of role axiom named fact_38_insertCI
% 0.50/0.71 A new axiom: (forall (A:produc1213276845od_b_b) (B2:set_Pr1324126435od_b_b) (B:produc1213276845od_b_b), (((((member1516365892od_b_b A) B2)->False)->(((eq produc1213276845od_b_b) A) B))->((member1516365892od_b_b A) ((insert2037698781od_b_b B) B2))))
% 0.50/0.71 FOF formula (forall (X:b), (((eq b) (hilbert_Eps_b ((fun (Y2:b) (Z:b)=> (((eq b) Y2) Z)) X))) X)) of role axiom named fact_39_some__sym__eq__trivial
% 0.50/0.71 A new axiom: (forall (X:b), (((eq b) (hilbert_Eps_b ((fun (Y2:b) (Z:b)=> (((eq b) Y2) Z)) X))) X))
% 0.50/0.71 FOF formula (forall (A:b) (B:product_prod_b_b) (R2:set_Pr621705391od_b_b) (A2:set_b), (((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2)->(((member_b A) A2)->((member1285940496od_b_b B) ((image_1177096571od_b_b R2) A2))))) of role axiom named fact_40_ImageI
% 0.50/0.71 A new axiom: (forall (A:b) (B:product_prod_b_b) (R2:set_Pr621705391od_b_b) (A2:set_b), (((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2)->(((member_b A) A2)->((member1285940496od_b_b B) ((image_1177096571od_b_b R2) A2)))))
% 0.50/0.71 FOF formula (forall (A:b) (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b) (A2:set_b), (((member599505522od_b_b ((produc800495189od_b_b A) B)) R2)->(((member_b A) A2)->((member1516365892od_b_b B) ((image_984343321od_b_b R2) A2))))) of role axiom named fact_41_ImageI
% 0.50/0.71 A new axiom: (forall (A:b) (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b) (A2:set_b), (((member599505522od_b_b ((produc800495189od_b_b A) B)) R2)->(((member_b A) A2)->((member1516365892od_b_b B) ((image_984343321od_b_b R2) A2)))))
% 0.50/0.71 FOF formula (forall (A:product_prod_b_b) (B:b) (R2:set_Pr357419743_b_b_b) (A2:set_Product_prod_b_b), (((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member_b B) ((image_921732011_b_b_b R2) A2))))) of role axiom named fact_42_ImageI
% 0.50/0.71 A new axiom: (forall (A:product_prod_b_b) (B:b) (R2:set_Pr357419743_b_b_b) (A2:set_Product_prod_b_b), (((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member_b B) ((image_921732011_b_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:product_prod_b_b) (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b) (A2:set_Product_prod_b_b), (((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member1285940496od_b_b B) ((image_1928024979od_b_b R2) A2))))) of role axiom named fact_43_ImageI
% 0.56/0.72 A new axiom: (forall (A:product_prod_b_b) (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b) (A2:set_Product_prod_b_b), (((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member1285940496od_b_b B) ((image_1928024979od_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:product_prod_b_b) (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b) (A2:set_Product_prod_b_b), (((member4694106od_b_b ((produc732676669od_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member1516365892od_b_b B) ((image_532916993od_b_b R2) A2))))) of role axiom named fact_44_ImageI
% 0.56/0.72 A new axiom: (forall (A:product_prod_b_b) (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b) (A2:set_Product_prod_b_b), (((member4694106od_b_b ((produc732676669od_b_b A) B)) R2)->(((member1285940496od_b_b A) A2)->((member1516365892od_b_b B) ((image_532916993od_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:produc1213276845od_b_b) (B:b) (R2:set_Pr1906739389_b_b_b) (A2:set_Pr1324126435od_b_b), (((member1417789726_b_b_b ((produc1580777273_b_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member_b B) ((image_1764625405_b_b_b R2) A2))))) of role axiom named fact_45_ImageI
% 0.56/0.72 A new axiom: (forall (A:produc1213276845od_b_b) (B:b) (R2:set_Pr1906739389_b_b_b) (A2:set_Pr1324126435od_b_b), (((member1417789726_b_b_b ((produc1580777273_b_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member_b B) ((image_1764625405_b_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:produc1213276845od_b_b) (B:product_prod_b_b) (R2:set_Pr2134561957od_b_b) (A2:set_Pr1324126435od_b_b), (((member942707974od_b_b ((produc1597690145od_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member1285940496od_b_b B) ((image_1397930469od_b_b R2) A2))))) of role axiom named fact_46_ImageI
% 0.56/0.72 A new axiom: (forall (A:produc1213276845od_b_b) (B:product_prod_b_b) (R2:set_Pr2134561957od_b_b) (A2:set_Pr1324126435od_b_b), (((member942707974od_b_b ((produc1597690145od_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member1285940496od_b_b B) ((image_1397930469od_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:produc1213276845od_b_b) (B:produc1213276845od_b_b) (R2:set_Pr2109276827od_b_b) (A2:set_Pr1324126435od_b_b), (((member1086024932od_b_b ((produc449289715od_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member1516365892od_b_b B) ((image_763305007od_b_b R2) A2))))) of role axiom named fact_47_ImageI
% 0.56/0.72 A new axiom: (forall (A:produc1213276845od_b_b) (B:produc1213276845od_b_b) (R2:set_Pr2109276827od_b_b) (A2:set_Pr1324126435od_b_b), (((member1086024932od_b_b ((produc449289715od_b_b A) B)) R2)->(((member1516365892od_b_b A) A2)->((member1516365892od_b_b B) ((image_763305007od_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:b) (B:b) (R2:set_Product_prod_b_b) (A2:set_b), (((member1285940496od_b_b ((product_Pair_b_b A) B)) R2)->(((member_b A) A2)->((member_b B) ((image_b_b R2) A2))))) of role axiom named fact_48_ImageI
% 0.56/0.72 A new axiom: (forall (A:b) (B:b) (R2:set_Product_prod_b_b) (A2:set_b), (((member1285940496od_b_b ((product_Pair_b_b A) B)) R2)->(((member_b A) A2)->((member_b B) ((image_b_b R2) A2)))))
% 0.56/0.72 FOF formula (forall (A:standard_Constant_a) (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A2:set_St761939237tant_a), (((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2)->(((member1632892294tant_a A) A2)->((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2))))) of role axiom named fact_49_ImageI
% 0.56/0.72 A new axiom: (forall (A:standard_Constant_a) (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A2:set_St761939237tant_a), (((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2)->(((member1632892294tant_a A) A2)->((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2)))))
% 0.56/0.73 FOF formula (((eq (b->b)) f) (fun (X2:b)=> (((if_b (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b))) bot_bot_set_b)) X2) (hilbert_Eps_b (p X2))))) of role axiom named fact_50_f
% 0.56/0.73 A new axiom: (((eq (b->b)) f) (fun (X2:b)=> (((if_b (((eq set_b) ((image_b_b ((getRel904497637nt_a_b standard_S_Idt_a) g)) ((insert_b X2) bot_bot_set_b))) bot_bot_set_b)) X2) (hilbert_Eps_b (p X2)))))
% 0.56/0.73 FOF formula (forall (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A:standard_Constant_a), (((eq Prop) ((member1285940496od_b_b B) ((image_1916422435od_b_b R2) ((insert1909710879tant_a A) bot_bo1160111033tant_a)))) ((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2))) of role axiom named fact_51_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A:standard_Constant_a), (((eq Prop) ((member1285940496od_b_b B) ((image_1916422435od_b_b R2) ((insert1909710879tant_a A) bot_bo1160111033tant_a)))) ((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:product_prod_b_b) (R2:set_Pr621705391od_b_b) (A:b), (((eq Prop) ((member1285940496od_b_b B) ((image_1177096571od_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2))) of role axiom named fact_52_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:product_prod_b_b) (R2:set_Pr621705391od_b_b) (A:b), (((eq Prop) ((member1285940496od_b_b B) ((image_1177096571od_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b) (A:b), (((eq Prop) ((member1516365892od_b_b B) ((image_984343321od_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member599505522od_b_b ((produc800495189od_b_b A) B)) R2))) of role axiom named fact_53_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b) (A:b), (((eq Prop) ((member1516365892od_b_b B) ((image_984343321od_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member599505522od_b_b ((produc800495189od_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:b) (R2:set_Product_prod_b_b) (A:b), (((eq Prop) ((member_b B) ((image_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member1285940496od_b_b ((product_Pair_b_b A) B)) R2))) of role axiom named fact_54_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:b) (R2:set_Product_prod_b_b) (A:b), (((eq Prop) ((member_b B) ((image_b_b R2) ((insert_b A) bot_bot_set_b)))) ((member1285940496od_b_b ((product_Pair_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:b) (R2:set_Pr357419743_b_b_b) (A:product_prod_b_b), (((eq Prop) ((member_b B) ((image_921732011_b_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2))) of role axiom named fact_55_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:b) (R2:set_Pr357419743_b_b_b) (A:product_prod_b_b), (((eq Prop) ((member_b B) ((image_921732011_b_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b) (A:product_prod_b_b), (((eq Prop) ((member1285940496od_b_b B) ((image_1928024979od_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2))) of role axiom named fact_56_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b) (A:product_prod_b_b), (((eq Prop) ((member1285940496od_b_b B) ((image_1928024979od_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2)))
% 0.56/0.73 FOF formula (forall (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b) (A:product_prod_b_b), (((eq Prop) ((member1516365892od_b_b B) ((image_532916993od_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member4694106od_b_b ((produc732676669od_b_b A) B)) R2))) of role axiom named fact_57_Image__singleton__iff
% 0.56/0.73 A new axiom: (forall (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b) (A:product_prod_b_b), (((eq Prop) ((member1516365892od_b_b B) ((image_532916993od_b_b R2) ((insert1952693431od_b_b A) bot_bo1343651123od_b_b)))) ((member4694106od_b_b ((produc732676669od_b_b A) B)) R2)))
% 0.56/0.74 FOF formula (forall (R:set_Product_prod_b_b) (S:set_Product_prod_b_b), (((eq Prop) (((eq (b->(b->Prop))) (fun (X2:b) (Y:b)=> ((member1285940496od_b_b ((product_Pair_b_b X2) Y)) R))) (fun (X2:b) (Y:b)=> ((member1285940496od_b_b ((product_Pair_b_b X2) Y)) S)))) (((eq set_Product_prod_b_b) R) S))) of role axiom named fact_58_pred__equals__eq2
% 0.56/0.74 A new axiom: (forall (R:set_Product_prod_b_b) (S:set_Product_prod_b_b), (((eq Prop) (((eq (b->(b->Prop))) (fun (X2:b) (Y:b)=> ((member1285940496od_b_b ((product_Pair_b_b X2) Y)) R))) (fun (X2:b) (Y:b)=> ((member1285940496od_b_b ((product_Pair_b_b X2) Y)) S)))) (((eq set_Product_prod_b_b) R) S)))
% 0.56/0.74 FOF formula (forall (R:set_Pr1324126435od_b_b) (S:set_Pr1324126435od_b_b), (((eq Prop) (((eq (standard_Constant_a->(product_prod_b_b->Prop))) (fun (X2:standard_Constant_a) (Y:product_prod_b_b)=> ((member1516365892od_b_b ((produc1432590431od_b_b X2) Y)) R))) (fun (X2:standard_Constant_a) (Y:product_prod_b_b)=> ((member1516365892od_b_b ((produc1432590431od_b_b X2) Y)) S)))) (((eq set_Pr1324126435od_b_b) R) S))) of role axiom named fact_59_pred__equals__eq2
% 0.56/0.74 A new axiom: (forall (R:set_Pr1324126435od_b_b) (S:set_Pr1324126435od_b_b), (((eq Prop) (((eq (standard_Constant_a->(product_prod_b_b->Prop))) (fun (X2:standard_Constant_a) (Y:product_prod_b_b)=> ((member1516365892od_b_b ((produc1432590431od_b_b X2) Y)) R))) (fun (X2:standard_Constant_a) (Y:product_prod_b_b)=> ((member1516365892od_b_b ((produc1432590431od_b_b X2) Y)) S)))) (((eq set_Pr1324126435od_b_b) R) S)))
% 0.56/0.74 FOF formula (forall (A:b) (A2:set_b) (B:product_prod_b_b) (R2:set_Pr621705391od_b_b), (((member_b A) A2)->(((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1177096571od_b_b R2) A2))))) of role axiom named fact_60_rev__ImageI
% 0.56/0.74 A new axiom: (forall (A:b) (A2:set_b) (B:product_prod_b_b) (R2:set_Pr621705391od_b_b), (((member_b A) A2)->(((member641857272od_b_b ((produc1257047359od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1177096571od_b_b R2) A2)))))
% 0.56/0.74 FOF formula (forall (A:b) (A2:set_b) (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b), (((member_b A) A2)->(((member599505522od_b_b ((produc800495189od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_984343321od_b_b R2) A2))))) of role axiom named fact_61_rev__ImageI
% 0.56/0.74 A new axiom: (forall (A:b) (A2:set_b) (B:produc1213276845od_b_b) (R2:set_Pr2060523537od_b_b), (((member_b A) A2)->(((member599505522od_b_b ((produc800495189od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_984343321od_b_b R2) A2)))))
% 0.56/0.74 FOF formula (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:b) (R2:set_Pr357419743_b_b_b), (((member1285940496od_b_b A) A2)->(((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2)->((member_b B) ((image_921732011_b_b_b R2) A2))))) of role axiom named fact_62_rev__ImageI
% 0.56/0.74 A new axiom: (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:b) (R2:set_Pr357419743_b_b_b), (((member1285940496od_b_b A) A2)->(((member351494440_b_b_b ((produc1001682799_b_b_b A) B)) R2)->((member_b B) ((image_921732011_b_b_b R2) A2)))))
% 0.56/0.74 FOF formula (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b), (((member1285940496od_b_b A) A2)->(((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1928024979od_b_b R2) A2))))) of role axiom named fact_63_rev__ImageI
% 0.56/0.74 A new axiom: (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:product_prod_b_b) (R2:set_Pr2007082183od_b_b), (((member1285940496od_b_b A) A2)->(((member1652792080od_b_b ((produc546497367od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1928024979od_b_b R2) A2)))))
% 0.56/0.74 FOF formula (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b), (((member1285940496od_b_b A) A2)->(((member4694106od_b_b ((produc732676669od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_532916993od_b_b R2) A2))))) of role axiom named fact_64_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:product_prod_b_b) (A2:set_Product_prod_b_b) (B:produc1213276845od_b_b) (R2:set_Pr1071216121od_b_b), (((member1285940496od_b_b A) A2)->(((member4694106od_b_b ((produc732676669od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_532916993od_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:b) (R2:set_Pr1906739389_b_b_b), (((member1516365892od_b_b A) A2)->(((member1417789726_b_b_b ((produc1580777273_b_b_b A) B)) R2)->((member_b B) ((image_1764625405_b_b_b R2) A2))))) of role axiom named fact_65_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:b) (R2:set_Pr1906739389_b_b_b), (((member1516365892od_b_b A) A2)->(((member1417789726_b_b_b ((produc1580777273_b_b_b A) B)) R2)->((member_b B) ((image_1764625405_b_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:product_prod_b_b) (R2:set_Pr2134561957od_b_b), (((member1516365892od_b_b A) A2)->(((member942707974od_b_b ((produc1597690145od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1397930469od_b_b R2) A2))))) of role axiom named fact_66_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:product_prod_b_b) (R2:set_Pr2134561957od_b_b), (((member1516365892od_b_b A) A2)->(((member942707974od_b_b ((produc1597690145od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1397930469od_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:produc1213276845od_b_b) (R2:set_Pr2109276827od_b_b), (((member1516365892od_b_b A) A2)->(((member1086024932od_b_b ((produc449289715od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_763305007od_b_b R2) A2))))) of role axiom named fact_67_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:produc1213276845od_b_b) (A2:set_Pr1324126435od_b_b) (B:produc1213276845od_b_b) (R2:set_Pr2109276827od_b_b), (((member1516365892od_b_b A) A2)->(((member1086024932od_b_b ((produc449289715od_b_b A) B)) R2)->((member1516365892od_b_b B) ((image_763305007od_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (A:b) (A2:set_b) (B:b) (R2:set_Product_prod_b_b), (((member_b A) A2)->(((member1285940496od_b_b ((product_Pair_b_b A) B)) R2)->((member_b B) ((image_b_b R2) A2))))) of role axiom named fact_68_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:b) (A2:set_b) (B:b) (R2:set_Product_prod_b_b), (((member_b A) A2)->(((member1285940496od_b_b ((product_Pair_b_b A) B)) R2)->((member_b B) ((image_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (A:standard_Constant_a) (A2:set_St761939237tant_a) (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b), (((member1632892294tant_a A) A2)->(((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2))))) of role axiom named fact_69_rev__ImageI
% 0.56/0.75 A new axiom: (forall (A:standard_Constant_a) (A2:set_St761939237tant_a) (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b), (((member1632892294tant_a A) A2)->(((member1516365892od_b_b ((produc1432590431od_b_b A) B)) R2)->((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2)))))
% 0.56/0.75 FOF formula (forall (B:b) (R2:set_Product_prod_b_b) (A2:set_b), (((eq Prop) ((member_b B) ((image_b_b R2) A2))) ((ex b) (fun (X2:b)=> ((and ((member_b X2) A2)) ((member1285940496od_b_b ((product_Pair_b_b X2) B)) R2)))))) of role axiom named fact_70_Image__iff
% 0.56/0.75 A new axiom: (forall (B:b) (R2:set_Product_prod_b_b) (A2:set_b), (((eq Prop) ((member_b B) ((image_b_b R2) A2))) ((ex b) (fun (X2:b)=> ((and ((member_b X2) A2)) ((member1285940496od_b_b ((product_Pair_b_b X2) B)) R2))))))
% 0.56/0.75 FOF formula (forall (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A2:set_St761939237tant_a), (((eq Prop) ((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2))) ((ex standard_Constant_a) (fun (X2:standard_Constant_a)=> ((and ((member1632892294tant_a X2) A2)) ((member1516365892od_b_b ((produc1432590431od_b_b X2) B)) R2)))))) of role axiom named fact_71_Image__iff
% 0.56/0.75 A new axiom: (forall (B:product_prod_b_b) (R2:set_Pr1324126435od_b_b) (A2:set_St761939237tant_a), (((eq Prop) ((member1285940496od_b_b B) ((image_1916422435od_b_b R2) A2))) ((ex standard_Constant_a) (fun (X2:standard_Constant_a)=> ((and ((member1632892294tant_a X2) A2)) ((member1516365892od_b_b ((produc1432590431od_b_b X2) B)) R2))))))
% 0.56/0.75 <<<uct_prod_b_b] :
% 0.56/0.75 ( ( member_b @ B @ ( image_921732011_b_b_b @ R2 @ A2 ) )
% 0.56/0.75 => ~ !>>>!!!<<< [X4: product_prod_b_b] :
% 0.56/0.75 ( ( member351494440_b_b_b @ ( produc1001682799_b_b_b>>>
% 0.56/0.75 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.56/0.75 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, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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',1,46464), LexToken(LPAR,'(',1,46467), name, LexToken(COMMA,',',1,46482), formula_role, LexToken(COMMA,',',1,46488), LexToken(LPAR,'(',1,46489), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,46497), thf_variable_list, LexToken(RBRACKET,']',1,46553), LexToken(COLON,':',1,46555), LexToken(LPAR,'(',1,46563), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.56/0.75 Unexpected exception Syntax error at '!':BANG
% 0.56/0.75 Traceback (most recent call last):
% 0.56/0.75 File "CASC.py", line 79, in <module>
% 0.56/0.75 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.56/0.75 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.56/0.75 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.56/0.75 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.56/0.75 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.56/0.75 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.56/0.75 tok = self.errorfunc(errtoken)
% 0.56/0.75 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.56/0.76 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.56/0.76 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------