TSTP Solution File: ITP178^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP178^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 0.54s
% 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 : ITP178^1 : TPTP v7.5.0. Released v7.5.0.
% 0.10/0.10 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % DateTime : Fri Mar 19 07:08:58 EDT 2021
% 0.10/0.32 % CPUTime :
% 0.10/0.32 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.10/0.33 Python 2.7.5
% 0.18/0.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87f80>, <kernel.Type object at 0xa87c68>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr2123625671_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xd23a28>, <kernel.Type object at 0xa87cf8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc116665063_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xd23a28>, <kernel.Type object at 0xa87d40>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr924198087_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87c68>, <kernel.Type object at 0xa87c20>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc398057191_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87cf8>, <kernel.Type object at 0xa87ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1173424071_b_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87d40>, <kernel.Type object at 0xa87878>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1839611079term_b:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87c20>, <kernel.Type object at 0xa87ea8>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc446386919_b_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa873f8>, <kernel.Type object at 0x2baa29294c68>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc1116408039term_b:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87878>, <kernel.Type object at 0x2baa29294c68>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1987088711_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87ea8>, <kernel.Type object at 0x2baa29294ef0>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr665622551at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87e18>, <kernel.Type object at 0x2baa29294c68>) of role type named ty_n_t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc1871334759_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87ea8>, <kernel.Type object at 0x2baa217c1fc8>) of role type named ty_n_t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc1391440311at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87878>, <kernel.Type object at 0x2baa217c1fc8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr551076371_b_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87ea8>, <kernel.Type object at 0x2baa217c1f80>) 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__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1647387645at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0xa87ea8>, <kernel.Type object at 0x2baa217c1f38>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1490359111at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa29294c68>, <kernel.Type object at 0x2baa217c1e60>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr1163220871term_b:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa29294200>, <kernel.Type object at 0x2baa217c1ea8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr2041158302at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa29294c68>, <kernel.Type object at 0x2baa217c1dd0>) of role type named ty_n_t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc1235635379_b_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa29294c68>, <kernel.Type object at 0x2baa217c1e18>) of role type named ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc842455143at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1ea8>, <kernel.Type object at 0x2baa217c1d40>) of role type named ty_n_t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring produc1478835367term_b:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1dd0>, <kernel.Type object at 0x2baa217c1d88>) of role type named ty_n_t__Set__Oset_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_la1083530965_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1e18>, <kernel.Type object at 0x2baa217c1cb0>) of role type named ty_n_t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring labele935650037_a_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1d40>, <kernel.Type object at 0x2baa217c1cf8>) of role type named ty_n_t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring labele1835409643at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1d88>, <kernel.Type object at 0x2baa217c1b90>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_Pr9961929at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1cb0>, <kernel.Type object at 0x2baa217c1bd8>) of role type named ty_n_t__LabeledGraphSemantics__Oallegorical____term_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring allego510293162tant_a:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1cf8>, <kernel.Type object at 0x2baa217c1b00>) of role type named ty_n_t__LabeledGraphSemantics__Oallegorical____term_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring allego1565409692at_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1b90>, <kernel.Type object at 0x2baa217c1b48>) of role type named ty_n_t__Set__Oset_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.18/0.59 Using role type
% 0.18/0.59 Declaring set_la1976028319_b_nat:Type
% 0.18/0.59 FOF formula (<kernel.Constant object at 0x2baa217c1bd8>, <kernel.Type object at 0x2baa217c1a70>) of role type named ty_n_t__Set__Oset_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_St761939237tant_a:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1b00>, <kernel.Type object at 0x2baa217c1ab8>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_Pr1986765409at_nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1b48>, <kernel.Type object at 0x2baa217c19e0>) of role type named ty_n_t__Set__Oset_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_al1193902458term_b:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1a70>, <kernel.Type object at 0x2baa217c1a28>) of role type named ty_n_t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labeled_graph_b_nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1ab8>, <kernel.Type object at 0x2baa217c1950>) of role type named ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__b_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_Product_prod_b_b:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c19e0>, <kernel.Type object at 0x2baa217c1998>) of role type named ty_n_t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring standard_Constant_a:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1a28>, <kernel.Type object at 0x2baa217c18c0>) of role type named ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring product_prod_nat_nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1950>, <kernel.Type object at 0x2baa217c1908>) of role type named ty_n_t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring allegorical_term_b:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1f80>, <kernel.Type object at 0x2baa217c18c0>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1998>, <kernel.Type object at 0x2baa217c1878>) of role type named ty_n_t__itself_It__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring itself_nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1908>, <kernel.Type object at 0x2baa217c1f80>) of role type named ty_n_t__Set__Oset_Itf__b_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_b:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c17e8>, <kernel.Type object at 0x2baa217c1680>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring set_a:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1878>, <kernel.Type object at 0x2baa217c18c0>) of role type named ty_n_t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring nat:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1f80>, <kernel.Type object at 0x2baa217c16c8>) of role type named ty_n_tf__b
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring b:Type
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c17a0>, <kernel.DependentProduct object at 0x2baa217c14d0>) of role type named sy_c_Finite__Set_Ofinite_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite_finite_nat:(set_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1560>, <kernel.DependentProduct object at 0x2baa217c1518>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite1242387294at_nat:(set_Pr1647387645at_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c15f0>, <kernel.DependentProduct object at 0x2baa217c1440>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite772653738at_nat:(set_Pr1986765409at_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c14d0>, <kernel.DependentProduct object at 0x2baa217c1488>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite48957584at_nat:(set_Pr1490359111at_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1518>, <kernel.DependentProduct object at 0x2baa217c13b0>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite1987068434at_nat:(set_Pr9961929at_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa217c13f8>) of role type named sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_Itf__b_Mtf__b_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite1015599120od_b_b:(set_Product_prod_b_b->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1e60>, <kernel.DependentProduct object at 0x2baa217c1368>) of role type named sy_c_Finite__Set_Ofinite_001tf__b
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring finite_finite_b:(set_b->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c15a8>, <kernel.DependentProduct object at 0x2baa217c1f80>) of role type named sy_c_LabeledGraphSemantics_Oallegorical__term_OA__Int_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring allego745587551tant_a:(allego510293162tant_a->(allego510293162tant_a->allego510293162tant_a))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c13f8>, <kernel.DependentProduct object at 0x2baa217c1290>) of role type named sy_c_LabeledGraphSemantics_Oallegorical__term_OA__Int_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring allego266765201at_nat:(allego1565409692at_nat->(allego1565409692at_nat->allego1565409692at_nat))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1e60>, <kernel.DependentProduct object at 0x2baa217c12d8>) of role type named sy_c_LabeledGraphSemantics_Oallegorical__term_OA__Int_001tf__b
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring allegorical_A_Int_b:(allegorical_term_b->(allegorical_term_b->allegorical_term_b))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1f80>, <kernel.DependentProduct object at 0x2baa217c1368>) of role type named sy_c_LabeledGraphSemantics_Osemantics_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring semantics_b_nat:(labeled_graph_b_nat->(allegorical_term_b->set_Pr1986765409at_nat))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1290>, <kernel.DependentProduct object at 0x2baa217c1440>) of role type named sy_c_LabeledGraphs_Ograph__homomorphism_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Nat__Onat_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring graph_2130075512at_nat:(labele935650037_a_nat->(labele935650037_a_nat->(set_Pr1986765409at_nat->Prop)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c12d8>, <kernel.DependentProduct object at 0x2baa217c13f8>) of role type named sy_c_LabeledGraphs_Ograph__homomorphism_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring graph_2111906684at_nat:(labele1835409643at_nat->(labele1835409643at_nat->(set_Pr1986765409at_nat->Prop)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c15a8>, <kernel.DependentProduct object at 0x2baa217c1128>) of role type named sy_c_LabeledGraphs_Ograph__homomorphism_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring graph_529870330at_nat:(labeled_graph_b_nat->(labeled_graph_b_nat->(set_Pr1986765409at_nat->Prop)))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1518>, <kernel.DependentProduct object at 0x2baa217c1050>) of role type named sy_c_LabeledGraphs_Ograph__union_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring graph_union_b_nat:(labeled_graph_b_nat->(labeled_graph_b_nat->labeled_graph_b_nat))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1368>, <kernel.DependentProduct object at 0x2baa217c1440>) of role type named sy_c_LabeledGraphs_Olabeled__graph_OLG_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labeled_LG_b_nat:(set_Pr9961929at_nat->(set_nat->labeled_graph_b_nat))
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1128>, <kernel.DependentProduct object at 0x2baa217c15a8>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Oedges_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labele195203296_a_nat:(labele935650037_a_nat->set_Pr1647387645at_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c10e0>, <kernel.DependentProduct object at 0x2baa2928f320>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Oedges_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labele2032268018at_nat:(labele1835409643at_nat->set_Pr1490359111at_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa2928f2d8>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Oedges_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labeled_edges_b_nat:(labeled_graph_b_nat->set_Pr9961929at_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1098>, <kernel.DependentProduct object at 0x2baa2928f1b8>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Overtices_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labele1810595089_a_nat:(labele935650037_a_nat->set_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1368>, <kernel.DependentProduct object at 0x2baa2928f878>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Overtices_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labele560327297at_nat:(labele1835409643at_nat->set_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa2928fcb0>) of role type named sy_c_LabeledGraphs_Olabeled__graph_Overtices_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring labele460410879_b_nat:(labeled_graph_b_nat->set_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1098>, <kernel.DependentProduct object at 0x2baa2928f050>) of role type named sy_c_LabeledGraphs_Orestrict_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring restri572569417_a_nat:(labele935650037_a_nat->labele935650037_a_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa2928ff38>) of role type named sy_c_LabeledGraphs_Orestrict_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring restri321299017at_nat:(labele1835409643at_nat->labele1835409643at_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1368>, <kernel.DependentProduct object at 0x2baa2928fd88>) of role type named sy_c_LabeledGraphs_Orestrict_001tf__b_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring restrict_b_nat:(labeled_graph_b_nat->labeled_graph_b_nat)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa2928f1b8>) of role type named sy_c_MissingRelation_Ounivalent_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring unival1191217828term_b:(set_Pr1163220871term_b->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa217c1440>, <kernel.DependentProduct object at 0x2baa2928fbd8>) of role type named sy_c_MissingRelation_Ounivalent_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring unival1637751524_a_nat:(set_Pr1987088711_a_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa2928fd88>, <kernel.DependentProduct object at 0x2baa2928f098>) of role type named sy_c_MissingRelation_Ounivalent_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.18/0.60 Using role type
% 0.18/0.60 Declaring unival857119480_b_nat:(set_Pr551076371_b_nat->Prop)
% 0.18/0.60 FOF formula (<kernel.Constant object at 0x2baa2928f1b8>, <kernel.DependentProduct object at 0x2baa2928fcf8>) of role type named sy_c_MissingRelation_Ounivalent_001t__Nat__Onat_001t__Nat__Onat
% 0.18/0.60 Using role type
% 0.45/0.61 Declaring univalent_nat_nat:(set_Pr1986765409at_nat->Prop)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928fbd8>, <kernel.DependentProduct object at 0x2baa2928f8c0>) of role type named sy_c_MissingRelation_Ounivalent_001t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring unival633212949at_nat:(set_Pr2041158302at_nat->Prop)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f098>, <kernel.DependentProduct object at 0x2baa2928f200>) of role type named sy_c_MissingRelation_Ounivalent_001tf__b_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring unival989235430at_nat:(set_Pr9961929at_nat->Prop)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928fcf8>, <kernel.DependentProduct object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_M_Eo_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bo1024461546_nat_o:(produc1871334759_a_nat->Prop)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f8c0>, <kernel.Constant object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bot_nat:nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f098>, <kernel.Constant object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bot_set_nat:set_nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928fcf8>, <kernel.Constant object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bo1836341171_a_nat:set_Pr1987088711_a_nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f8c0>, <kernel.Constant object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bo2130386637at_nat:set_Pr1986765409at_nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f098>, <kernel.Constant object at 0x2baa2928f9e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring bot_bo1626616373at_nat:set_Pr9961929at_nat
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928fcf8>, <kernel.DependentProduct object at 0xa8a368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_less_eq_nat:(nat->(nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f8c0>, <kernel.DependentProduct object at 0xa8a170>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_less_eq_set_nat:(set_nat->(set_nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928fcf8>, <kernel.DependentProduct object at 0xa8a488>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_le138473255term_b:(set_Pr1163220871term_b->(set_Pr1163220871term_b->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f8c0>, <kernel.DependentProduct object at 0xa8acf8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_le1718765799_a_nat:(set_Pr1987088711_a_nat->(set_Pr1987088711_a_nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f9e0>, <kernel.DependentProduct object at 0xa8a5f0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_le13035955_b_nat:(set_Pr551076371_b_nat->(set_Pr551076371_b_nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa2928f9e0>, <kernel.DependentProduct object at 0xa8a368>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_le841296385at_nat:(set_Pr1986765409at_nat->(set_Pr1986765409at_nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a710>, <kernel.DependentProduct object at 0xa8a440>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring ord_le910748009at_nat:(set_Pr9961929at_nat->(set_Pr9961929at_nat->Prop))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a1b8>, <kernel.DependentProduct object at 0xa8a170>) of role type named sy_c_Product__Type_OPair_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1990145943term_b:(allegorical_term_b->(allegorical_term_b->produc1478835367term_b))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a368>, <kernel.DependentProduct object at 0xa8a320>) of role type named sy_c_Product__Type_OPair_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1676969687_a_nat:(labele935650037_a_nat->(labele935650037_a_nat->produc1871334759_a_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a440>, <kernel.DependentProduct object at 0xa8ab90>) of role type named sy_c_Product__Type_OPair_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc590202991at_nat:(labele1835409643at_nat->(labele1835409643at_nat->produc1391440311at_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a170>, <kernel.DependentProduct object at 0xa8a6c8>) of role type named sy_c_Product__Type_OPair_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc951298923_b_nat:(labeled_graph_b_nat->(labeled_graph_b_nat->produc1235635379_b_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a320>, <kernel.DependentProduct object at 0xa8a710>) of role type named sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring product_Pair_nat_nat:(nat->(nat->product_prod_nat_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8ab90>, <kernel.DependentProduct object at 0xa8a368>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_001t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc859843415term_b:(produc1478835367term_b->(produc1478835367term_b->produc1116408039term_b))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a6c8>, <kernel.DependentProduct object at 0xa8a320>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1677124439_a_nat:(produc1871334759_a_nat->(produc1871334759_a_nat->produc398057191_a_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a488>, <kernel.DependentProduct object at 0xa8ab90>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1754969175_b_nat:(produc1235635379_b_nat->(produc1235635379_b_nat->produc446386919_b_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a170>, <kernel.DependentProduct object at 0xa8a6c8>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1168807639at_nat:(product_prod_nat_nat->(product_prod_nat_nat->produc842455143at_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8ab90>, <kernel.DependentProduct object at 0x2baa217bf128>) of role type named sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc170611543_a_nat:(produc398057191_a_nat->(produc398057191_a_nat->produc116665063_a_nat))
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a488>, <kernel.DependentProduct object at 0x2baa217bf200>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc854192515term_b:(produc1478835367term_b->allegorical_term_b)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8ab90>, <kernel.DependentProduct object at 0x2baa217bf1b8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc719117507_a_nat:(produc1871334759_a_nat->labele935650037_a_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8a6c8>, <kernel.DependentProduct object at 0x2baa217bf098>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1995789403at_nat:(produc1391440311at_nat->labele1835409643at_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8ab90>, <kernel.DependentProduct object at 0x2baa217bf2d8>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1542243159_b_nat:(produc1235635379_b_nat->labeled_graph_b_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0xa8ab90>, <kernel.DependentProduct object at 0x2baa217bf320>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring product_fst_nat_nat:(product_prod_nat_nat->nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf098>, <kernel.DependentProduct object at 0x2baa217bf368>) of role type named sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1049080131_a_nat:(produc398057191_a_nat->produc1871334759_a_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf2d8>, <kernel.DependentProduct object at 0x2baa217bf3b0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1223098053term_b:(produc1478835367term_b->allegorical_term_b)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf320>, <kernel.DependentProduct object at 0x2baa217bf3f8>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc880161797_a_nat:(produc1871334759_a_nat->labele935650037_a_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf368>, <kernel.DependentProduct object at 0x2baa217bf440>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1564126365at_nat:(produc1391440311at_nat->labele1835409643at_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf3b0>, <kernel.DependentProduct object at 0x2baa217bf488>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc194497945_b_nat:(produc1235635379_b_nat->labeled_graph_b_nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf3f8>, <kernel.DependentProduct object at 0x2baa217bf4d0>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring product_snd_nat_nat:(product_prod_nat_nat->nat)
% 0.45/0.61 FOF formula (<kernel.Constant object at 0x2baa217bf440>, <kernel.DependentProduct object at 0x2baa217bf518>) of role type named sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.45/0.61 Using role type
% 0.45/0.61 Declaring produc1022852229_a_nat:(produc398057191_a_nat->produc1871334759_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf488>, <kernel.DependentProduct object at 0x2baa217bf560>) of role type named sy_c_Relation_ODomain_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring domain859272460term_b:(set_Pr1163220871term_b->set_al1193902458term_b)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf4d0>, <kernel.DependentProduct object at 0x2baa217bf5a8>) of role type named sy_c_Relation_ODomain_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring domain1068567884_a_nat:(set_Pr1987088711_a_nat->set_la1083530965_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf518>, <kernel.DependentProduct object at 0x2baa217bf5f0>) of role type named sy_c_Relation_ODomain_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring domain767519072_b_nat:(set_Pr551076371_b_nat->set_la1976028319_b_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf560>, <kernel.DependentProduct object at 0x2baa217bf638>) of role type named sy_c_Relation_ODomain_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring domain_nat_nat:(set_Pr1986765409at_nat->set_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf5a8>, <kernel.DependentProduct object at 0x2baa217bf680>) of role type named sy_c_Relation_ODomain_001tf__b_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring domain1101989710at_nat:(set_Pr9961929at_nat->set_b)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf5f0>, <kernel.DependentProduct object at 0x2baa217bf6c8>) of role type named sy_c_Relation_OId__on_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_1536886967term_b:(set_al1193902458term_b->set_Pr1163220871term_b)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf638>, <kernel.DependentProduct object at 0x2baa217bf710>) of role type named sy_c_Relation_OId__on_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_689842066_a_nat:(set_la1083530965_a_nat->set_Pr1987088711_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf680>, <kernel.DependentProduct object at 0x2baa217bf758>) of role type named sy_c_Relation_OId__on_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_583275916_b_nat:(set_la1976028319_b_nat->set_Pr551076371_b_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf6c8>, <kernel.DependentProduct object at 0x2baa217bf7a0>) of role type named sy_c_Relation_OId__on_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_nat:(set_nat->set_Pr1986765409at_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf710>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_1664915780term_b:(set_Pr1163220871term_b->set_Pr1839611079term_b)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf758>, <kernel.DependentProduct object at 0x2baa217bf830>) of role type named sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_1651096324_a_nat:(set_Pr1987088711_a_nat->set_Pr924198087_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7a0>, <kernel.DependentProduct object at 0x2baa217bf878>) of role type named sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_138931664_b_nat:(set_Pr551076371_b_nat->set_Pr1173424071_b_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7e8>, <kernel.DependentProduct object at 0x2baa217bf8c0>) of role type named sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_2144791838at_nat:(set_Pr1986765409at_nat->set_Pr1490359111at_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf830>, <kernel.DependentProduct object at 0x2baa217bf908>) of role type named sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring id_on_1395957380_a_nat:(set_Pr924198087_a_nat->set_Pr2123625671_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf878>, <kernel.DependentProduct object at 0x2baa217bf7a0>) of role type named sy_c_Relation_OImage_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_329221075term_b:(set_Pr1163220871term_b->(set_al1193902458term_b->set_al1193902458term_b))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf8c0>, <kernel.DependentProduct object at 0x2baa217bf950>) of role type named sy_c_Relation_OImage_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_1971191571_a_nat:(set_Pr1987088711_a_nat->(set_la1083530965_a_nat->set_la1083530965_a_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf908>, <kernel.DependentProduct object at 0x2baa217bf998>) of role type named sy_c_Relation_OImage_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_1183964583_b_nat:(set_Pr551076371_b_nat->(set_la1976028319_b_nat->set_la1976028319_b_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7a0>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_Relation_OImage_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_nat_nat:(set_Pr1986765409at_nat->(set_nat->set_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf950>, <kernel.DependentProduct object at 0x2baa217bf830>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_1168831379_a_nat:(set_Pr924198087_a_nat->(set_Pr1987088711_a_nat->set_Pr1987088711_a_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf998>, <kernel.DependentProduct object at 0x2baa217bf878>) of role type named sy_c_Relation_OImage_001t__Product____Type__Oprod_Itf__b_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_1356842150at_nat:(set_Pr2041158302at_nat->(set_Pr9961929at_nat->set_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7e8>, <kernel.DependentProduct object at 0x2baa217bf8c0>) of role type named sy_c_Relation_OImage_001tf__b_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring image_2112855445at_nat:(set_Pr9961929at_nat->(set_b->set_Pr1986765409at_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bfb00>, <kernel.DependentProduct object at 0x2baa217bf908>) of role type named sy_c_Relation_Orelcomp_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcom1955155673term_b:(set_Pr1163220871term_b->(set_Pr1163220871term_b->set_Pr1163220871term_b))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bfb48>, <kernel.DependentProduct object at 0x2baa217bf7a0>) of role type named sy_c_Relation_Orelcomp_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcom1338300020_a_nat:(set_Pr1987088711_a_nat->(set_Pr1987088711_a_nat->set_Pr1987088711_a_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf8c0>, <kernel.DependentProduct object at 0x2baa217bf950>) of role type named sy_c_Relation_Orelcomp_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcom1426860350_b_nat:(set_Pr551076371_b_nat->(set_Pr551076371_b_nat->set_Pr551076371_b_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf908>, <kernel.DependentProduct object at 0x2baa217bf998>) of role type named sy_c_Relation_Orelcomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcomp_nat_nat_nat:(set_Pr1986765409at_nat->(set_Pr1986765409at_nat->set_Pr1986765409at_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7a0>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_Relation_Orelcomp_001tf__b_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcom195261566at_nat:(set_Pr9961929at_nat->(set_Pr1490359111at_nat->set_Pr9961929at_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf950>, <kernel.DependentProduct object at 0x2baa217bfb00>) of role type named sy_c_Relation_Orelcomp_001tf__b_001tf__b_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring relcom14055552at_nat:(set_Product_prod_b_b->(set_Pr9961929at_nat->set_Pr9961929at_nat))
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf998>, <kernel.DependentProduct object at 0x2baa217bfd40>) of role type named sy_c_RuleSemanticsConnection_Oinv__translation
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring inv_translation:(set_nat->Prop)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf7e8>, <kernel.DependentProduct object at 0x2baa217bf908>) of role type named sy_c_RuleSemanticsConnection_Otranslation_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring transl1275713022tant_a:(allego510293162tant_a->labele935650037_a_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bfb00>, <kernel.DependentProduct object at 0x2baa217bfd88>) of role type named sy_c_RuleSemanticsConnection_Otranslation_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring transl490985778at_nat:(allego1565409692at_nat->labele1835409643at_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0x2baa217bfdd0>) of role type named sy_c_RuleSemanticsConnection_Otranslation_001tf__b
% 0.45/0.62 Using role type
% 0.45/0.62 Declaring translation_b:(allegorical_term_b->labeled_graph_b_nat)
% 0.45/0.62 FOF formula (<kernel.Constant object at 0x2baa217bf908>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_RulesAndChains_Oagree__on_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring agree_on_b_nat_nat:(labeled_graph_b_nat->(set_Pr1986765409at_nat->(set_Pr1986765409at_nat->Prop)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd88>, <kernel.DependentProduct object at 0x2baa217bfb00>) of role type named sy_c_RulesAndChains_Ochain_001tf__b_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring chain_b_nat:((nat->labeled_graph_b_nat)->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfe18>, <kernel.DependentProduct object at 0x2baa217bfd40>) of role type named sy_c_RulesAndChains_Ochain__sup_001tf__b_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring chain_sup_b_nat:((nat->labeled_graph_b_nat)->labeled_graph_b_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bf950>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_RulesAndChains_Oconsequence__graph_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring conseq1730780375at_nat:(set_Pr551076371_b_nat->(labeled_graph_b_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfef0>, <kernel.DependentProduct object at 0x2baa217bfe60>) of role type named sy_c_RulesAndChains_Oextensible_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring extensible_b_nat_nat:(produc1235635379_b_nat->(labeled_graph_b_nat->(set_Pr1986765409at_nat->Prop)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0x2baa217bff80>) of role type named sy_c_RulesAndChains_Ofair__chain_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring fair_chain_b_nat_nat:(set_Pr551076371_b_nat->((nat->labeled_graph_b_nat)->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfea8>, <kernel.DependentProduct object at 0x2baa217bfd88>) of role type named sy_c_RulesAndChains_Ofin__maintained_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring fin_ma971967913at_nat:(produc1235635379_b_nat->(labeled_graph_b_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfe18>, <kernel.DependentProduct object at 0x2baa217bf7e8>) of role type named sy_c_RulesAndChains_Omaintained_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring maintained_b_nat_nat:(produc1235635379_b_nat->(labeled_graph_b_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bff80>, <kernel.DependentProduct object at 0xa75098>) of role type named sy_c_RulesAndChains_Oset__of__graph__rules_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_of1384085797_a_nat:(set_Pr1987088711_a_nat->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd88>, <kernel.DependentProduct object at 0xa76098>) of role type named sy_c_RulesAndChains_Oset__of__graph__rules_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_of195930477at_nat:(set_Pr665622551at_nat->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0xa760e0>) of role type named sy_c_RulesAndChains_Oset__of__graph__rules_001tf__b_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring set_of41538795_b_nat:(set_Pr551076371_b_nat->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bff80>, <kernel.DependentProduct object at 0xa76128>) of role type named sy_c_RulesAndChains_Oweak__universal_001t__Nat__Onat_001tf__b_001t__Nat__Onat_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring weak_u2026406106at_nat:(itself_nat->(produc1235635379_b_nat->(labeled_graph_b_nat->(labeled_graph_b_nat->(set_Pr1986765409at_nat->(set_Pr1986765409at_nat->Prop))))))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bf050>, <kernel.DependentProduct object at 0xa762d8>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0xa760e0>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec135640594term_b:((produc1478835367term_b->Prop)->set_Pr1163220871term_b)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bf050>, <kernel.DependentProduct object at 0xa76368>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec357096914_a_nat:((produc1871334759_a_nat->Prop)->set_Pr1987088711_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0xa76170>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec1615000990_b_nat:((produc1235635379_b_nat->Prop)->set_Pr551076371_b_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2baa217bfd40>, <kernel.DependentProduct object at 0xa76320>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec7649004at_nat:((product_prod_nat_nat->Prop)->set_Pr1986765409at_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76098>, <kernel.DependentProduct object at 0xa76200>) of role type named sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring collec1701899602_a_nat:((produc398057191_a_nat->Prop)->set_Pr924198087_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa761b8>, <kernel.DependentProduct object at 0xa76290>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Oconstant__rules_001tf__a
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa1897115818ules_a:(set_a->set_Pr1987088711_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa760e0>, <kernel.DependentProduct object at 0xa763f8>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Oidentity__rules_001tf__a
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa1568205540ules_a:(set_St761939237tant_a->set_Pr1987088711_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76200>, <kernel.Constant object at 0xa763f8>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Ononempty__rule_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa1410829644tant_a:produc1871334759_a_nat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa761b8>, <kernel.Constant object at 0xa763f8>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Ononempty__rule_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa214789732at_nat:produc1391440311at_nat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa760e0>, <kernel.Constant object at 0xa763f8>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Ononempty__rule_001tf__b
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa879863266rule_b:produc1235635379_b_nat
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76200>, <kernel.DependentProduct object at 0xa764d0>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Oreflexivity__rule_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa63370785tant_a:(standard_Constant_a->produc1871334759_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa763b0>, <kernel.DependentProduct object at 0xa76518>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Oreflexivity__rule_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa2131591247at_nat:(product_prod_nat_nat->produc1391440311at_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa763f8>, <kernel.DependentProduct object at 0xa76560>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Oreflexivity__rule_001tf__b
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa1329480013rule_b:(b->produc1235635379_b_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa764d0>, <kernel.DependentProduct object at 0xa765a8>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Otop__rule_001t__LabeledGraphSemantics__OStandard____Constant_Itf__a_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa305748545tant_a:(standard_Constant_a->produc1871334759_a_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76518>, <kernel.DependentProduct object at 0xa765f0>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Otop__rule_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa153097263at_nat:(product_prod_nat_nat->produc1391440311at_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76560>, <kernel.DependentProduct object at 0xa76638>) of role type named sy_c_StandardRules__Mirabelle__iljqcenreq_Otop__rule_001tf__b
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring standa1360217389rule_b:(b->produc1235635379_b_nat)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa765a8>, <kernel.DependentProduct object at 0xa764d0>) of role type named sy_c_member_001t__LabeledGraphSemantics__Oallegorical____term_Itf__b_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member93680451term_b:(allegorical_term_b->(set_al1193902458term_b->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa765f0>, <kernel.DependentProduct object at 0xa763b0>) of role type named sy_c_member_001t__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member964390942_a_nat:(labele935650037_a_nat->(set_la1083530965_a_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa763f8>, <kernel.DependentProduct object at 0xa76518>) of role type named sy_c_member_001t__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member1483953152_b_nat:(labeled_graph_b_nat->(set_la1976028319_b_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa766c8>, <kernel.DependentProduct object at 0xa76560>) of role type named sy_c_member_001t__Nat__Onat
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member_nat:(nat->(set_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76710>, <kernel.DependentProduct object at 0xa765a8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member516522448term_b:(produc1478835367term_b->(set_Pr1163220871term_b->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76518>, <kernel.DependentProduct object at 0xa765f0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member832397200_a_nat:(produc1871334759_a_nat->(set_Pr1987088711_a_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa767a0>, <kernel.DependentProduct object at 0xa763f8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member1129678944at_nat:(produc1391440311at_nat->(set_Pr665622551at_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa767e8>, <kernel.DependentProduct object at 0xa766c8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring member963855452_b_nat:(produc1235635379_b_nat->(set_Pr551076371_b_nat->Prop))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0xa76830>, <kernel.DependentProduct object at 0xa76710>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member701585322at_nat:(product_prod_nat_nat->(set_Pr1986765409at_nat->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76878>, <kernel.DependentProduct object at 0xa76518>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_Mt__Product____Type__Oprod_It__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_Mt__LabeledGraphSemantics__Oallegorical____term_Itf__b_J_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member1449757456term_b:(produc1116408039term_b->(set_Pr1839611079term_b->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa768c0>, <kernel.DependentProduct object at 0xa767a0>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member584645392_a_nat:(produc398057191_a_nat->(set_Pr924198087_a_nat->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76908>, <kernel.DependentProduct object at 0xa767e8>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_Itf__b_Mt__Nat__Onat_J_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member889223696_b_nat:(produc446386919_b_nat->(set_Pr1173424071_b_nat->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76950>, <kernel.DependentProduct object at 0xa76830>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member2027625872at_nat:(produc842455143at_nat->(set_Pr1490359111at_nat->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76998>, <kernel.DependentProduct object at 0xa76878>) of role type named sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_Mt__LabeledGraphs__Olabeled____graph_It__LabeledGraphSemantics__OStandard____Constant_Itf__a_J_Mt__Nat__Onat_J_J_J_J
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring member829905680_a_nat:(produc116665063_a_nat->(set_Pr2123625671_a_nat->Prop))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa769e0>, <kernel.Constant object at 0xa76878>) of role type named sy_v_C
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring c:set_a
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76950>, <kernel.Constant object at 0xa76878>) of role type named sy_v_u
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring u:allegorical_term_b
% 0.47/0.64 FOF formula (<kernel.Constant object at 0xa76998>, <kernel.Constant object at 0xa76878>) of role type named sy_v_v
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring v:allegorical_term_b
% 0.47/0.65 FOF formula (<kernel.Constant object at 0xa769e0>, <kernel.Constant object at 0xa76878>) of role type named sy_v_x
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring x:produc1871334759_a_nat
% 0.47/0.65 FOF formula ((member832397200_a_nat x) (standa1897115818ules_a c)) of role axiom named fact_0_assms
% 0.47/0.65 A new axiom: ((member832397200_a_nat x) (standa1897115818ules_a c))
% 0.47/0.65 FOF formula (forall (X:allego1565409692at_nat) (Y:allego1565409692at_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (((eq labele1835409643at_nat) (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (restri321299017at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) of role axiom named fact_1_graph__rule__translation
% 0.47/0.65 A new axiom: (forall (X:allego1565409692at_nat) (Y:allego1565409692at_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (((eq labele1835409643at_nat) (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))) (restri321299017at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y)))))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat ((produc590202991at_nat (transl490985778at_nat X)) (transl490985778at_nat ((allego266765201at_nat X) Y))))))))
% 0.47/0.65 FOF formula (forall (X:allego510293162tant_a) (Y:allego510293162tant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (((eq labele935650037_a_nat) (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (restri572569417_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) of role axiom named fact_2_graph__rule__translation
% 0.47/0.65 A new axiom: (forall (X:allego510293162tant_a) (Y:allego510293162tant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (((eq labele935650037_a_nat) (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))) (restri572569417_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y)))))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat ((produc1676969687_a_nat (transl1275713022tant_a X)) (transl1275713022tant_a ((allego745587551tant_a X) Y))))))))
% 0.47/0.65 FOF formula (forall (X:allegorical_term_b) (Y:allegorical_term_b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (restrict_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) of role axiom named fact_3_graph__rule__translation
% 0.47/0.65 A new axiom: (forall (X:allegorical_term_b) (Y:allegorical_term_b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))) (restrict_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y)))))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat ((produc951298923_b_nat (translation_b X)) (translation_b ((allegorical_A_Int_b X) Y))))))))
% 0.47/0.65 FOF formula (forall (G:labele935650037_a_nat), (((eq Prop) (((graph_2130075512at_nat G) G) (id_on_nat (labele1810595089_a_nat G)))) (((eq labele935650037_a_nat) G) (restri572569417_a_nat G)))) of role axiom named fact_4_subgraph__refl
% 0.47/0.65 A new axiom: (forall (G:labele935650037_a_nat), (((eq Prop) (((graph_2130075512at_nat G) G) (id_on_nat (labele1810595089_a_nat G)))) (((eq labele935650037_a_nat) G) (restri572569417_a_nat G))))
% 0.47/0.65 FOF formula (forall (G:labeled_graph_b_nat), (((eq Prop) (((graph_529870330at_nat G) G) (id_on_nat (labele460410879_b_nat G)))) (((eq labeled_graph_b_nat) G) (restrict_b_nat G)))) of role axiom named fact_5_subgraph__refl
% 0.47/0.66 A new axiom: (forall (G:labeled_graph_b_nat), (((eq Prop) (((graph_529870330at_nat G) G) (id_on_nat (labele460410879_b_nat G)))) (((eq labeled_graph_b_nat) G) (restrict_b_nat G))))
% 0.47/0.66 FOF formula (forall (G:labele935650037_a_nat), (((eq Prop) (((graph_2130075512at_nat G) (restri572569417_a_nat G)) (id_on_nat (labele1810595089_a_nat G)))) (((eq labele935650037_a_nat) G) (restri572569417_a_nat G)))) of role axiom named fact_6_subgraph__restrict
% 0.47/0.66 A new axiom: (forall (G:labele935650037_a_nat), (((eq Prop) (((graph_2130075512at_nat G) (restri572569417_a_nat G)) (id_on_nat (labele1810595089_a_nat G)))) (((eq labele935650037_a_nat) G) (restri572569417_a_nat G))))
% 0.47/0.66 FOF formula (forall (G:labeled_graph_b_nat), (((eq Prop) (((graph_529870330at_nat G) (restrict_b_nat G)) (id_on_nat (labele460410879_b_nat G)))) (((eq labeled_graph_b_nat) G) (restrict_b_nat G)))) of role axiom named fact_7_subgraph__restrict
% 0.47/0.66 A new axiom: (forall (G:labeled_graph_b_nat), (((eq Prop) (((graph_529870330at_nat G) (restrict_b_nat G)) (id_on_nat (labele460410879_b_nat G)))) (((eq labeled_graph_b_nat) G) (restrict_b_nat G))))
% 0.47/0.66 FOF formula (forall (A:labele935650037_a_nat), (((graph_2130075512at_nat (restri572569417_a_nat A)) (restri572569417_a_nat A)) (id_on_nat (labele1810595089_a_nat A)))) of role axiom named fact_8_graph__homomorphism__Id
% 0.47/0.66 A new axiom: (forall (A:labele935650037_a_nat), (((graph_2130075512at_nat (restri572569417_a_nat A)) (restri572569417_a_nat A)) (id_on_nat (labele1810595089_a_nat A))))
% 0.47/0.66 FOF formula (forall (A:labeled_graph_b_nat), (((graph_529870330at_nat (restrict_b_nat A)) (restrict_b_nat A)) (id_on_nat (labele460410879_b_nat A)))) of role axiom named fact_9_graph__homomorphism__Id
% 0.47/0.66 A new axiom: (forall (A:labeled_graph_b_nat), (((graph_529870330at_nat (restrict_b_nat A)) (restrict_b_nat A)) (id_on_nat (labele460410879_b_nat A))))
% 0.47/0.66 FOF formula (forall (X:allego1565409692at_nat), (finite48957584at_nat (labele2032268018at_nat (transl490985778at_nat X)))) of role axiom named fact_10_verts__in__translation__finite_I2_J
% 0.47/0.66 A new axiom: (forall (X:allego1565409692at_nat), (finite48957584at_nat (labele2032268018at_nat (transl490985778at_nat X))))
% 0.47/0.66 FOF formula (forall (X:allego510293162tant_a), (finite1242387294at_nat (labele195203296_a_nat (transl1275713022tant_a X)))) of role axiom named fact_11_verts__in__translation__finite_I2_J
% 0.47/0.66 A new axiom: (forall (X:allego510293162tant_a), (finite1242387294at_nat (labele195203296_a_nat (transl1275713022tant_a X))))
% 0.47/0.66 FOF formula (forall (X:allegorical_term_b), (finite1987068434at_nat (labeled_edges_b_nat (translation_b X)))) of role axiom named fact_12_verts__in__translation__finite_I2_J
% 0.47/0.66 A new axiom: (forall (X:allegorical_term_b), (finite1987068434at_nat (labeled_edges_b_nat (translation_b X))))
% 0.47/0.66 FOF formula ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat standa214789732at_nat)) (produc1564126365at_nat standa214789732at_nat)) (id_on_nat (labele560327297at_nat (produc1995789403at_nat standa214789732at_nat))))) (((eq labele1835409643at_nat) (produc1564126365at_nat standa214789732at_nat)) (restri321299017at_nat (produc1564126365at_nat standa214789732at_nat))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat standa214789732at_nat))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat standa214789732at_nat)))) of role axiom named fact_13_are__rules_I1_J
% 0.47/0.66 A new axiom: ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat standa214789732at_nat)) (produc1564126365at_nat standa214789732at_nat)) (id_on_nat (labele560327297at_nat (produc1995789403at_nat standa214789732at_nat))))) (((eq labele1835409643at_nat) (produc1564126365at_nat standa214789732at_nat)) (restri321299017at_nat (produc1564126365at_nat standa214789732at_nat))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat standa214789732at_nat))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat standa214789732at_nat))))
% 0.47/0.67 FOF formula ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat standa1410829644tant_a)) (produc880161797_a_nat standa1410829644tant_a)) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat standa1410829644tant_a))))) (((eq labele935650037_a_nat) (produc880161797_a_nat standa1410829644tant_a)) (restri572569417_a_nat (produc880161797_a_nat standa1410829644tant_a))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat standa1410829644tant_a))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat standa1410829644tant_a)))) of role axiom named fact_14_are__rules_I1_J
% 0.47/0.67 A new axiom: ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat standa1410829644tant_a)) (produc880161797_a_nat standa1410829644tant_a)) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat standa1410829644tant_a))))) (((eq labele935650037_a_nat) (produc880161797_a_nat standa1410829644tant_a)) (restri572569417_a_nat (produc880161797_a_nat standa1410829644tant_a))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat standa1410829644tant_a))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat standa1410829644tant_a))))
% 0.47/0.67 FOF formula ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat standa879863266rule_b)) (produc194497945_b_nat standa879863266rule_b)) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat standa879863266rule_b))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat standa879863266rule_b)) (restrict_b_nat (produc194497945_b_nat standa879863266rule_b))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat standa879863266rule_b))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat standa879863266rule_b)))) of role axiom named fact_15_are__rules_I1_J
% 0.47/0.67 A new axiom: ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat standa879863266rule_b)) (produc194497945_b_nat standa879863266rule_b)) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat standa879863266rule_b))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat standa879863266rule_b)) (restrict_b_nat (produc194497945_b_nat standa879863266rule_b))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat standa879863266rule_b))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat standa879863266rule_b))))
% 0.47/0.67 FOF formula (forall (T:product_prod_nat_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat (standa153097263at_nat T))) (produc1564126365at_nat (standa153097263at_nat T))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat (standa153097263at_nat T)))))) (((eq labele1835409643at_nat) (produc1564126365at_nat (standa153097263at_nat T))) (restri321299017at_nat (produc1564126365at_nat (standa153097263at_nat T)))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat (standa153097263at_nat T)))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat (standa153097263at_nat T)))))) of role axiom named fact_16_are__rules_I2_J
% 0.47/0.67 A new axiom: (forall (T:product_prod_nat_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat (standa153097263at_nat T))) (produc1564126365at_nat (standa153097263at_nat T))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat (standa153097263at_nat T)))))) (((eq labele1835409643at_nat) (produc1564126365at_nat (standa153097263at_nat T))) (restri321299017at_nat (produc1564126365at_nat (standa153097263at_nat T)))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat (standa153097263at_nat T)))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat (standa153097263at_nat T))))))
% 0.47/0.67 FOF formula (forall (T:standard_Constant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat (standa305748545tant_a T))) (produc880161797_a_nat (standa305748545tant_a T))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat (standa305748545tant_a T)))))) (((eq labele935650037_a_nat) (produc880161797_a_nat (standa305748545tant_a T))) (restri572569417_a_nat (produc880161797_a_nat (standa305748545tant_a T)))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat (standa305748545tant_a T)))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat (standa305748545tant_a T)))))) of role axiom named fact_17_are__rules_I2_J
% 0.47/0.67 A new axiom: (forall (T:standard_Constant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat (standa305748545tant_a T))) (produc880161797_a_nat (standa305748545tant_a T))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat (standa305748545tant_a T)))))) (((eq labele935650037_a_nat) (produc880161797_a_nat (standa305748545tant_a T))) (restri572569417_a_nat (produc880161797_a_nat (standa305748545tant_a T)))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat (standa305748545tant_a T)))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat (standa305748545tant_a T))))))
% 0.47/0.67 FOF formula (forall (T:b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat (standa1360217389rule_b T))) (produc194497945_b_nat (standa1360217389rule_b T))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat (standa1360217389rule_b T)))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat (standa1360217389rule_b T))) (restrict_b_nat (produc194497945_b_nat (standa1360217389rule_b T)))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat (standa1360217389rule_b T)))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat (standa1360217389rule_b T)))))) of role axiom named fact_18_are__rules_I2_J
% 0.47/0.67 A new axiom: (forall (T:b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat (standa1360217389rule_b T))) (produc194497945_b_nat (standa1360217389rule_b T))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat (standa1360217389rule_b T)))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat (standa1360217389rule_b T))) (restrict_b_nat (produc194497945_b_nat (standa1360217389rule_b T)))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat (standa1360217389rule_b T)))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat (standa1360217389rule_b T))))))
% 0.47/0.67 FOF formula (forall (X:allego510293162tant_a), (finite_finite_nat (labele1810595089_a_nat (transl1275713022tant_a X)))) of role axiom named fact_19_verts__in__translation__finite_I1_J
% 0.47/0.67 A new axiom: (forall (X:allego510293162tant_a), (finite_finite_nat (labele1810595089_a_nat (transl1275713022tant_a X))))
% 0.47/0.67 FOF formula (forall (X:allegorical_term_b), (finite_finite_nat (labele460410879_b_nat (translation_b X)))) of role axiom named fact_20_verts__in__translation__finite_I1_J
% 0.47/0.67 A new axiom: (forall (X:allegorical_term_b), (finite_finite_nat (labele460410879_b_nat (translation_b X))))
% 0.47/0.67 FOF formula (forall (_TPTP_I:product_prod_nat_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat (standa2131591247at_nat _TPTP_I))) (produc1564126365at_nat (standa2131591247at_nat _TPTP_I))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat (standa2131591247at_nat _TPTP_I)))))) (((eq labele1835409643at_nat) (produc1564126365at_nat (standa2131591247at_nat _TPTP_I))) (restri321299017at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I)))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I)))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I)))))) of role axiom named fact_21_are__rules_I3_J
% 0.47/0.67 A new axiom: (forall (_TPTP_I:product_prod_nat_nat), ((and ((and ((and (((graph_2111906684at_nat (produc1995789403at_nat (standa2131591247at_nat _TPTP_I))) (produc1564126365at_nat (standa2131591247at_nat _TPTP_I))) (id_on_nat (labele560327297at_nat (produc1995789403at_nat (standa2131591247at_nat _TPTP_I)))))) (((eq labele1835409643at_nat) (produc1564126365at_nat (standa2131591247at_nat _TPTP_I))) (restri321299017at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I)))))) (finite_finite_nat (labele560327297at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I)))))) (finite48957584at_nat (labele2032268018at_nat (produc1564126365at_nat (standa2131591247at_nat _TPTP_I))))))
% 0.47/0.68 FOF formula (forall (_TPTP_I:standard_Constant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat (standa63370785tant_a _TPTP_I))) (produc880161797_a_nat (standa63370785tant_a _TPTP_I))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat (standa63370785tant_a _TPTP_I)))))) (((eq labele935650037_a_nat) (produc880161797_a_nat (standa63370785tant_a _TPTP_I))) (restri572569417_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I)))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I)))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I)))))) of role axiom named fact_22_are__rules_I3_J
% 0.47/0.68 A new axiom: (forall (_TPTP_I:standard_Constant_a), ((and ((and ((and (((graph_2130075512at_nat (produc719117507_a_nat (standa63370785tant_a _TPTP_I))) (produc880161797_a_nat (standa63370785tant_a _TPTP_I))) (id_on_nat (labele1810595089_a_nat (produc719117507_a_nat (standa63370785tant_a _TPTP_I)))))) (((eq labele935650037_a_nat) (produc880161797_a_nat (standa63370785tant_a _TPTP_I))) (restri572569417_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I)))))) (finite_finite_nat (labele1810595089_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I)))))) (finite1242387294at_nat (labele195203296_a_nat (produc880161797_a_nat (standa63370785tant_a _TPTP_I))))))
% 0.47/0.68 FOF formula (forall (_TPTP_I:b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat (standa1329480013rule_b _TPTP_I))) (produc194497945_b_nat (standa1329480013rule_b _TPTP_I))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat (standa1329480013rule_b _TPTP_I)))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat (standa1329480013rule_b _TPTP_I))) (restrict_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I)))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I)))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I)))))) of role axiom named fact_23_are__rules_I3_J
% 0.47/0.68 A new axiom: (forall (_TPTP_I:b), ((and ((and ((and (((graph_529870330at_nat (produc1542243159_b_nat (standa1329480013rule_b _TPTP_I))) (produc194497945_b_nat (standa1329480013rule_b _TPTP_I))) (id_on_nat (labele460410879_b_nat (produc1542243159_b_nat (standa1329480013rule_b _TPTP_I)))))) (((eq labeled_graph_b_nat) (produc194497945_b_nat (standa1329480013rule_b _TPTP_I))) (restrict_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I)))))) (finite_finite_nat (labele460410879_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I)))))) (finite1987068434at_nat (labeled_edges_b_nat (produc194497945_b_nat (standa1329480013rule_b _TPTP_I))))))
% 0.47/0.68 FOF formula (forall (Prod:product_prod_nat_nat), (((eq product_prod_nat_nat) ((product_Pair_nat_nat (product_fst_nat_nat Prod)) (product_snd_nat_nat Prod))) Prod)) of role axiom named fact_24_prod_Ocollapse
% 0.47/0.68 A new axiom: (forall (Prod:product_prod_nat_nat), (((eq product_prod_nat_nat) ((product_Pair_nat_nat (product_fst_nat_nat Prod)) (product_snd_nat_nat Prod))) Prod))
% 0.47/0.68 FOF formula (forall (Prod:produc398057191_a_nat), (((eq produc398057191_a_nat) ((produc1677124439_a_nat (produc1049080131_a_nat Prod)) (produc1022852229_a_nat Prod))) Prod)) of role axiom named fact_25_prod_Ocollapse
% 0.47/0.68 A new axiom: (forall (Prod:produc398057191_a_nat), (((eq produc398057191_a_nat) ((produc1677124439_a_nat (produc1049080131_a_nat Prod)) (produc1022852229_a_nat Prod))) Prod))
% 0.47/0.68 FOF formula (forall (Prod:produc1871334759_a_nat), (((eq produc1871334759_a_nat) ((produc1676969687_a_nat (produc719117507_a_nat Prod)) (produc880161797_a_nat Prod))) Prod)) of role axiom named fact_26_prod_Ocollapse
% 0.47/0.68 A new axiom: (forall (Prod:produc1871334759_a_nat), (((eq produc1871334759_a_nat) ((produc1676969687_a_nat (produc719117507_a_nat Prod)) (produc880161797_a_nat Prod))) Prod))
% 0.47/0.69 FOF formula (forall (Prod:produc1478835367term_b), (((eq produc1478835367term_b) ((produc1990145943term_b (produc854192515term_b Prod)) (produc1223098053term_b Prod))) Prod)) of role axiom named fact_27_prod_Ocollapse
% 0.47/0.69 A new axiom: (forall (Prod:produc1478835367term_b), (((eq produc1478835367term_b) ((produc1990145943term_b (produc854192515term_b Prod)) (produc1223098053term_b Prod))) Prod))
% 0.47/0.69 FOF formula (forall (Prod:produc1235635379_b_nat), (((eq produc1235635379_b_nat) ((produc951298923_b_nat (produc1542243159_b_nat Prod)) (produc194497945_b_nat Prod))) Prod)) of role axiom named fact_28_prod_Ocollapse
% 0.47/0.69 A new axiom: (forall (Prod:produc1235635379_b_nat), (((eq produc1235635379_b_nat) ((produc951298923_b_nat (produc1542243159_b_nat Prod)) (produc194497945_b_nat Prod))) Prod))
% 0.47/0.69 FOF formula (((eq (allego510293162tant_a->labele935650037_a_nat)) transl1275713022tant_a) (fun (X2:allego510293162tant_a)=> (restri572569417_a_nat (transl1275713022tant_a X2)))) of role axiom named fact_29_translation__graph
% 0.47/0.69 A new axiom: (((eq (allego510293162tant_a->labele935650037_a_nat)) transl1275713022tant_a) (fun (X2:allego510293162tant_a)=> (restri572569417_a_nat (transl1275713022tant_a X2))))
% 0.47/0.69 FOF formula (((eq (allegorical_term_b->labeled_graph_b_nat)) translation_b) (fun (X2:allegorical_term_b)=> (restrict_b_nat (translation_b X2)))) of role axiom named fact_30_translation__graph
% 0.47/0.69 A new axiom: (((eq (allegorical_term_b->labeled_graph_b_nat)) translation_b) (fun (X2:allegorical_term_b)=> (restrict_b_nat (translation_b X2))))
% 0.47/0.69 FOF formula (forall (G:labele935650037_a_nat), (((eq set_nat) (labele1810595089_a_nat (restri572569417_a_nat G))) (labele1810595089_a_nat G))) of role axiom named fact_31_vertices__restrict
% 0.47/0.69 A new axiom: (forall (G:labele935650037_a_nat), (((eq set_nat) (labele1810595089_a_nat (restri572569417_a_nat G))) (labele1810595089_a_nat G)))
% 0.47/0.69 FOF formula (forall (G:labeled_graph_b_nat), (((eq set_nat) (labele460410879_b_nat (restrict_b_nat G))) (labele460410879_b_nat G))) of role axiom named fact_32_vertices__restrict
% 0.47/0.69 A new axiom: (forall (G:labeled_graph_b_nat), (((eq set_nat) (labele460410879_b_nat (restrict_b_nat G))) (labele460410879_b_nat G)))
% 0.47/0.69 FOF formula (forall (A:nat) (B:nat) (A2:nat) (B2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat A) B)) ((product_Pair_nat_nat A2) B2))) ((and (((eq nat) A) A2)) (((eq nat) B) B2)))) of role axiom named fact_33_old_Oprod_Oinject
% 0.47/0.69 A new axiom: (forall (A:nat) (B:nat) (A2:nat) (B2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat A) B)) ((product_Pair_nat_nat A2) B2))) ((and (((eq nat) A) A2)) (((eq nat) B) B2))))
% 0.47/0.69 FOF formula (forall (A:produc1871334759_a_nat) (B:produc1871334759_a_nat) (A2:produc1871334759_a_nat) (B2:produc1871334759_a_nat), (((eq Prop) (((eq produc398057191_a_nat) ((produc1677124439_a_nat A) B)) ((produc1677124439_a_nat A2) B2))) ((and (((eq produc1871334759_a_nat) A) A2)) (((eq produc1871334759_a_nat) B) B2)))) of role axiom named fact_34_old_Oprod_Oinject
% 0.47/0.69 A new axiom: (forall (A:produc1871334759_a_nat) (B:produc1871334759_a_nat) (A2:produc1871334759_a_nat) (B2:produc1871334759_a_nat), (((eq Prop) (((eq produc398057191_a_nat) ((produc1677124439_a_nat A) B)) ((produc1677124439_a_nat A2) B2))) ((and (((eq produc1871334759_a_nat) A) A2)) (((eq produc1871334759_a_nat) B) B2))))
% 0.47/0.69 FOF formula (forall (A:labele935650037_a_nat) (B:labele935650037_a_nat) (A2:labele935650037_a_nat) (B2:labele935650037_a_nat), (((eq Prop) (((eq produc1871334759_a_nat) ((produc1676969687_a_nat A) B)) ((produc1676969687_a_nat A2) B2))) ((and (((eq labele935650037_a_nat) A) A2)) (((eq labele935650037_a_nat) B) B2)))) of role axiom named fact_35_old_Oprod_Oinject
% 0.47/0.69 A new axiom: (forall (A:labele935650037_a_nat) (B:labele935650037_a_nat) (A2:labele935650037_a_nat) (B2:labele935650037_a_nat), (((eq Prop) (((eq produc1871334759_a_nat) ((produc1676969687_a_nat A) B)) ((produc1676969687_a_nat A2) B2))) ((and (((eq labele935650037_a_nat) A) A2)) (((eq labele935650037_a_nat) B) B2))))
% 0.47/0.69 FOF formula (forall (A:labeled_graph_b_nat) (B:labeled_graph_b_nat) (A2:labeled_graph_b_nat) (B2:labeled_graph_b_nat), (((eq Prop) (((eq produc1235635379_b_nat) ((produc951298923_b_nat A) B)) ((produc951298923_b_nat A2) B2))) ((and (((eq labeled_graph_b_nat) A) A2)) (((eq labeled_graph_b_nat) B) B2)))) of role axiom named fact_36_old_Oprod_Oinject
% 0.54/0.70 A new axiom: (forall (A:labeled_graph_b_nat) (B:labeled_graph_b_nat) (A2:labeled_graph_b_nat) (B2:labeled_graph_b_nat), (((eq Prop) (((eq produc1235635379_b_nat) ((produc951298923_b_nat A) B)) ((produc951298923_b_nat A2) B2))) ((and (((eq labeled_graph_b_nat) A) A2)) (((eq labeled_graph_b_nat) B) B2))))
% 0.54/0.70 FOF formula (forall (A:allegorical_term_b) (B:allegorical_term_b) (A2:allegorical_term_b) (B2:allegorical_term_b), (((eq Prop) (((eq produc1478835367term_b) ((produc1990145943term_b A) B)) ((produc1990145943term_b A2) B2))) ((and (((eq allegorical_term_b) A) A2)) (((eq allegorical_term_b) B) B2)))) of role axiom named fact_37_old_Oprod_Oinject
% 0.54/0.70 A new axiom: (forall (A:allegorical_term_b) (B:allegorical_term_b) (A2:allegorical_term_b) (B2:allegorical_term_b), (((eq Prop) (((eq produc1478835367term_b) ((produc1990145943term_b A) B)) ((produc1990145943term_b A2) B2))) ((and (((eq allegorical_term_b) A) A2)) (((eq allegorical_term_b) B) B2))))
% 0.54/0.70 FOF formula (forall (X1:nat) (X22:nat) (Y1:nat) (Y2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat X1) X22)) ((product_Pair_nat_nat Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq nat) X22) Y2)))) of role axiom named fact_38_prod_Oinject
% 0.54/0.70 A new axiom: (forall (X1:nat) (X22:nat) (Y1:nat) (Y2:nat), (((eq Prop) (((eq product_prod_nat_nat) ((product_Pair_nat_nat X1) X22)) ((product_Pair_nat_nat Y1) Y2))) ((and (((eq nat) X1) Y1)) (((eq nat) X22) Y2))))
% 0.54/0.70 FOF formula (forall (X1:produc1871334759_a_nat) (X22:produc1871334759_a_nat) (Y1:produc1871334759_a_nat) (Y2:produc1871334759_a_nat), (((eq Prop) (((eq produc398057191_a_nat) ((produc1677124439_a_nat X1) X22)) ((produc1677124439_a_nat Y1) Y2))) ((and (((eq produc1871334759_a_nat) X1) Y1)) (((eq produc1871334759_a_nat) X22) Y2)))) of role axiom named fact_39_prod_Oinject
% 0.54/0.70 A new axiom: (forall (X1:produc1871334759_a_nat) (X22:produc1871334759_a_nat) (Y1:produc1871334759_a_nat) (Y2:produc1871334759_a_nat), (((eq Prop) (((eq produc398057191_a_nat) ((produc1677124439_a_nat X1) X22)) ((produc1677124439_a_nat Y1) Y2))) ((and (((eq produc1871334759_a_nat) X1) Y1)) (((eq produc1871334759_a_nat) X22) Y2))))
% 0.54/0.70 FOF formula (forall (X1:labele935650037_a_nat) (X22:labele935650037_a_nat) (Y1:labele935650037_a_nat) (Y2:labele935650037_a_nat), (((eq Prop) (((eq produc1871334759_a_nat) ((produc1676969687_a_nat X1) X22)) ((produc1676969687_a_nat Y1) Y2))) ((and (((eq labele935650037_a_nat) X1) Y1)) (((eq labele935650037_a_nat) X22) Y2)))) of role axiom named fact_40_prod_Oinject
% 0.54/0.70 A new axiom: (forall (X1:labele935650037_a_nat) (X22:labele935650037_a_nat) (Y1:labele935650037_a_nat) (Y2:labele935650037_a_nat), (((eq Prop) (((eq produc1871334759_a_nat) ((produc1676969687_a_nat X1) X22)) ((produc1676969687_a_nat Y1) Y2))) ((and (((eq labele935650037_a_nat) X1) Y1)) (((eq labele935650037_a_nat) X22) Y2))))
% 0.54/0.70 FOF formula (forall (X1:labeled_graph_b_nat) (X22:labeled_graph_b_nat) (Y1:labeled_graph_b_nat) (Y2:labeled_graph_b_nat), (((eq Prop) (((eq produc1235635379_b_nat) ((produc951298923_b_nat X1) X22)) ((produc951298923_b_nat Y1) Y2))) ((and (((eq labeled_graph_b_nat) X1) Y1)) (((eq labeled_graph_b_nat) X22) Y2)))) of role axiom named fact_41_prod_Oinject
% 0.54/0.70 A new axiom: (forall (X1:labeled_graph_b_nat) (X22:labeled_graph_b_nat) (Y1:labeled_graph_b_nat) (Y2:labeled_graph_b_nat), (((eq Prop) (((eq produc1235635379_b_nat) ((produc951298923_b_nat X1) X22)) ((produc951298923_b_nat Y1) Y2))) ((and (((eq labeled_graph_b_nat) X1) Y1)) (((eq labeled_graph_b_nat) X22) Y2))))
% 0.54/0.70 FOF formula (forall (X1:allegorical_term_b) (X22:allegorical_term_b) (Y1:allegorical_term_b) (Y2:allegorical_term_b), (((eq Prop) (((eq produc1478835367term_b) ((produc1990145943term_b X1) X22)) ((produc1990145943term_b Y1) Y2))) ((and (((eq allegorical_term_b) X1) Y1)) (((eq allegorical_term_b) X22) Y2)))) of role axiom named fact_42_prod_Oinject
% 0.54/0.71 A new axiom: (forall (X1:allegorical_term_b) (X22:allegorical_term_b) (Y1:allegorical_term_b) (Y2:allegorical_term_b), (((eq Prop) (((eq produc1478835367term_b) ((produc1990145943term_b X1) X22)) ((produc1990145943term_b Y1) Y2))) ((and (((eq allegorical_term_b) X1) Y1)) (((eq allegorical_term_b) X22) Y2))))
% 0.54/0.71 FOF formula (forall (X3:labele935650037_a_nat), (((eq labele935650037_a_nat) (restri572569417_a_nat (restri572569417_a_nat X3))) (restri572569417_a_nat X3))) of role axiom named fact_43_restrict__idemp
% 0.54/0.71 A new axiom: (forall (X3:labele935650037_a_nat), (((eq labele935650037_a_nat) (restri572569417_a_nat (restri572569417_a_nat X3))) (restri572569417_a_nat X3)))
% 0.54/0.71 FOF formula (forall (X3:labeled_graph_b_nat), (((eq labeled_graph_b_nat) (restrict_b_nat (restrict_b_nat X3))) (restrict_b_nat X3))) of role axiom named fact_44_restrict__idemp
% 0.54/0.71 A new axiom: (forall (X3:labeled_graph_b_nat), (((eq labeled_graph_b_nat) (restrict_b_nat (restrict_b_nat X3))) (restrict_b_nat X3)))
% 0.54/0.71 FOF formula (forall (P:(product_prod_nat_nat->Prop)) (Prod:product_prod_nat_nat), ((forall (A3:nat) (B3:nat), (P ((product_Pair_nat_nat A3) B3)))->(P Prod))) of role axiom named fact_45_old_Oprod_Oinducts
% 0.54/0.71 A new axiom: (forall (P:(product_prod_nat_nat->Prop)) (Prod:product_prod_nat_nat), ((forall (A3:nat) (B3:nat), (P ((product_Pair_nat_nat A3) B3)))->(P Prod)))
% 0.54/0.71 FOF formula (forall (P:(produc398057191_a_nat->Prop)) (Prod:produc398057191_a_nat), ((forall (A3:produc1871334759_a_nat) (B3:produc1871334759_a_nat), (P ((produc1677124439_a_nat A3) B3)))->(P Prod))) of role axiom named fact_46_old_Oprod_Oinducts
% 0.54/0.71 A new axiom: (forall (P:(produc398057191_a_nat->Prop)) (Prod:produc398057191_a_nat), ((forall (A3:produc1871334759_a_nat) (B3:produc1871334759_a_nat), (P ((produc1677124439_a_nat A3) B3)))->(P Prod)))
% 0.54/0.71 FOF formula (forall (P:(produc1871334759_a_nat->Prop)) (Prod:produc1871334759_a_nat), ((forall (A3:labele935650037_a_nat) (B3:labele935650037_a_nat), (P ((produc1676969687_a_nat A3) B3)))->(P Prod))) of role axiom named fact_47_old_Oprod_Oinducts
% 0.54/0.71 A new axiom: (forall (P:(produc1871334759_a_nat->Prop)) (Prod:produc1871334759_a_nat), ((forall (A3:labele935650037_a_nat) (B3:labele935650037_a_nat), (P ((produc1676969687_a_nat A3) B3)))->(P Prod)))
% 0.54/0.71 FOF formula (forall (P:(produc1235635379_b_nat->Prop)) (Prod:produc1235635379_b_nat), ((forall (A3:labeled_graph_b_nat) (B3:labeled_graph_b_nat), (P ((produc951298923_b_nat A3) B3)))->(P Prod))) of role axiom named fact_48_old_Oprod_Oinducts
% 0.54/0.71 A new axiom: (forall (P:(produc1235635379_b_nat->Prop)) (Prod:produc1235635379_b_nat), ((forall (A3:labeled_graph_b_nat) (B3:labeled_graph_b_nat), (P ((produc951298923_b_nat A3) B3)))->(P Prod)))
% 0.54/0.71 FOF formula (forall (P:(produc1478835367term_b->Prop)) (Prod:produc1478835367term_b), ((forall (A3:allegorical_term_b) (B3:allegorical_term_b), (P ((produc1990145943term_b A3) B3)))->(P Prod))) of role axiom named fact_49_old_Oprod_Oinducts
% 0.54/0.71 A new axiom: (forall (P:(produc1478835367term_b->Prop)) (Prod:produc1478835367term_b), ((forall (A3:allegorical_term_b) (B3:allegorical_term_b), (P ((produc1990145943term_b A3) B3)))->(P Prod)))
% 0.54/0.71 <<<nducts
% 0.54/0.71 thf(fact_50_old_Oprod_Oexhaust,axiom,(
% 0.54/0.71 ! [Y3: product_prod_nat_nat] :
% 0.54/0.71 ~ !>>>!!!<<< [A3: nat,B3: nat] :
% 0.54/0.71 ( Y3
% 0.54/0.71 != ( product_Pair_nat_nat @ A3 @ B3 ) ) )).
% 0.54/0.71
% 0.54/0.71 >>>
% 0.54/0.71 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 124]
% 0.54/0.71 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, 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',1,67825), LexToken(LPAR,'(',1,67828), name, LexToken(COMMA,',',1,67855), formula_role, LexToken(COMMA,',',1,67861), LexToken(LPAR,'(',1,67862), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,67870), thf_variable_list, LexToken(RBRACKET,']',1,67895), LexToken(COLON,':',1,67897), unary_connective]
% 0.54/0.71 Unexpected exception Syntax error at '!':BANG
% 0.54/0.71 Traceback (most recent call last):
% 0.54/0.71 File "CASC.py", line 79, in <module>
% 0.54/0.71 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.54/0.71 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.54/0.71 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.54/0.71 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.54/0.71 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.54/0.71 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.54/0.71 tok = self.errorfunc(errtoken)
% 0.54/0.71 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.54/0.71 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.54/0.71 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------