TSTP Solution File: ITP128^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP128^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 13:24:16 EDT 2021
% Result : Theorem 1.61s
% Output : Proof 1.61s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP128^1 : TPTP v7.5.0. Released v7.5.0.
% 0.07/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Mar 19 06:26:04 EDT 2021
% 0.14/0.34 % CPUTime :
% 0.14/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.14/0.35 Python 2.7.5
% 0.49/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393fc8>, <kernel.Type object at 0x2393cb0>) of role type named ty_n_t__Multiset__Omultiset_Itf__b_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring multiset_b:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2376d88>, <kernel.Type object at 0x2393d40>) of role type named ty_n_t__Multiset__Omultiset_Itf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring multiset_a:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2376d88>, <kernel.Type object at 0x2393cb0>) of role type named ty_n_t__FSet__Ofset_Itf__b_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring fset_b:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393e60>, <kernel.Type object at 0x2393cf8>) of role type named ty_n_t__FSet__Ofset_Itf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring fset_a:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393d40>, <kernel.Type object at 0x2393ea8>) of role type named ty_n_t__Set__Oset_Itf__d_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring set_d:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393cb0>, <kernel.Type object at 0x2393f80>) of role type named ty_n_t__Set__Oset_Itf__c_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring set_c:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393ef0>, <kernel.Type object at 0x2b155ca76128>) of role type named ty_n_t__Set__Oset_Itf__b_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring set_b:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393ea8>, <kernel.Type object at 0x2b155ca76128>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring set_a:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393f80>, <kernel.Type object at 0x2b155ca764d0>) of role type named ty_n_tf__d
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring d:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393cf8>, <kernel.Type object at 0x2b155ca76f80>) of role type named ty_n_tf__c
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring c:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393f80>, <kernel.Type object at 0x2b155ca76518>) of role type named ty_n_tf__b
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring b:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2393ea8>, <kernel.Type object at 0x2b155ca76560>) of role type named ty_n_tf__a
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring a:Type
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b155ca76440>, <kernel.DependentProduct object at 0x2b155ca76098>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring bNF_re19414301_d_d_o:((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->((((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop)))->Prop))))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b155ca5a1b8>, <kernel.DependentProduct object at 0x2b155ca594d0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring bNF_re674980784_d_d_o:((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->((((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->Prop))->((((d->d)->((d->d)->Prop))->((b->(d->d))->Prop))->Prop))))
% 0.49/0.63 FOF formula (<kernel.Constant object at 0x2b155ca77d40>, <kernel.DependentProduct object at 0x2b155ca76518>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J
% 0.49/0.63 Using role type
% 0.49/0.63 Declaring bNF_re1867846365_a_a_o:((((c->c)->((c->c)->Prop))->((a->(a->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->a)->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca77d40>, <kernel.DependentProduct object at 0x2b155ca5a098>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re708047067_a_b_o:((((c->c)->((c->c)->Prop))->((a->(b->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->b)->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca594d0>, <kernel.DependentProduct object at 0x2b155ca76518>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re145798749_a_a_o:((((c->c)->((d->d)->Prop))->((a->(a->Prop))->Prop))->((((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->a)->Prop))->Prop))->((((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca5a1b8>, <kernel.DependentProduct object at 0x2b155ca76128>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re1133483099_a_b_o:((((c->c)->((d->d)->Prop))->((a->(b->Prop))->Prop))->((((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->b)->Prop))->Prop))->((((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca5a440>, <kernel.DependentProduct object at 0x2b155ca59ab8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re141854397_b_d_d:((((c->c)->(c->c))->(((d->d)->(d->d))->Prop))->((((a->(c->c))->(a->(c->c)))->(((b->(d->d))->(b->(d->d)))->Prop))->((((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))->((((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca5a440>, <kernel.DependentProduct object at 0x2b155ca59ab8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re35019871_b_d_d:((((c->c)->a)->(((d->d)->b)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->((((c->c)->a)->(a->(c->c)))->((((d->d)->b)->(b->(d->d)))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca76f80>, <kernel.DependentProduct object at 0x2396518>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring bNF_re1177671453_a_a_a:((((c->c)->a)->((a->a)->Prop))->((((c->c)->a)->((a->a)->Prop))->((((c->c)->a)->((c->c)->a))->(((a->a)->(a->a))->Prop))))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b155ca76128>, <kernel.DependentProduct object at 0x23967a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re1238578079_d_d_d:((((c->c)->c)->(((d->d)->d)->Prop))->((((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop))->((((c->c)->c)->((a->(c->c))->(c->c)))->((((d->d)->d)->((b->(d->d))->(d->d)))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca76f80>, <kernel.DependentProduct object at 0x23967e8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re1209333166_c_b_d:((((c->c)->c)->(((d->d)->d)->Prop))->(((a->c)->((b->d)->Prop))->((((c->c)->c)->(a->c))->((((d->d)->d)->(b->d))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca594d0>, <kernel.DependentProduct object at 0x2396680>) of role type named sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re323253981_b_b_b:((((d->d)->b)->((b->b)->Prop))->((((d->d)->b)->((b->b)->Prop))->((((d->d)->b)->((d->d)->b))->(((b->b)->(b->b))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca59ab8>, <kernel.DependentProduct object at 0x2396758>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re1403739741_a_a_o:(((a->(a->Prop))->((a->(a->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca59ab8>, <kernel.DependentProduct object at 0x2396128>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re1165460699_a_b_o:(((a->(a->Prop))->((a->(b->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca76f80>, <kernel.DependentProduct object at 0x2396710>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re1310167325_a_a_o:(((a->(a->Prop))->((b->(a->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->b)->((a->a)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((b->(a->Prop))->((a->b)->((a->a)->Prop)))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca76440>, <kernel.DependentProduct object at 0x2396710>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring bNF_re2129955100_d_d_o:(((a->(a->Prop))->((b->(b->Prop))->Prop))->(((((c->c)->((c->c)->Prop))->((a->(c->c))->Prop))->((((d->d)->((d->d)->Prop))->((b->(d->d))->Prop))->Prop))->(((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->Prop)))->(((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->Prop)))->Prop))))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2b155ca76518>, <kernel.DependentProduct object at 0x2396128>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re1071888283_a_b_o:(((a->(a->Prop))->((b->(b->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->b)->((a->b)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((b->(b->Prop))->((a->b)->((a->b)->Prop)))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2b155ca76518>, <kernel.DependentProduct object at 0x2396680>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re231976415_a_a_o:(((a->(b->Prop))->((a->(a->Prop))->Prop))->((((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->Prop))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2396098>, <kernel.DependentProduct object at 0x2396290>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re2141181021_a_b_o:(((a->(b->Prop))->((a->(b->Prop))->Prop))->((((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->Prop))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2396710>, <kernel.DependentProduct object at 0x23963b0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re880840541_a_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((a->a)->(a->(c->c)))->(((a->a)->(a->(c->c)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2396128>, <kernel.DependentProduct object at 0x23967e8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re1311853791_b_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((a->a)->(a->(c->c)))->(((b->a)->(b->(c->c)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((a->(c->c))->((b->a)->(b->(c->c))))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2396680>, <kernel.DependentProduct object at 0x2396290>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re978949211_a_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((b->a)->(b->(c->c)))->(((a->a)->(a->(c->c)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop))))
% 0.54/0.68 FOF formula (<kernel.Constant object at 0x2396758>, <kernel.DependentProduct object at 0x23963b0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J
% 0.54/0.68 Using role type
% 0.54/0.68 Declaring bNF_re1409962461_b_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((b->a)->(b->(c->c)))->(((b->a)->(b->(c->c)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((a->(c->c))->((b->a)->(b->(c->c))))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396440>, <kernel.DependentProduct object at 0x23963b0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re27458217_c_c_c:(((a->(c->c))->((a->(c->c))->Prop))->(((c->c)->((c->c)->Prop))->(((a->(c->c))->(c->c))->(((a->(c->c))->(c->c))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396f38>, <kernel.DependentProduct object at 0x23963b0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re1955249705_c_d_d:(((a->(c->c))->((a->(d->d))->Prop))->(((c->c)->((d->d)->Prop))->(((a->(c->c))->(c->c))->(((a->(d->d))->(d->d))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396c20>, <kernel.DependentProduct object at 0x23965f0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re1684125987_a_a_o:(((a->(c->c))->((a->a)->Prop))->((((a->(c->c))->Prop)->(((a->a)->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->a)->Prop))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396ef0>, <kernel.DependentProduct object at 0x23967e8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re364411746_a_b_o:(((a->(c->c))->((a->a)->Prop))->((((a->(c->c))->Prop)->(((a->b)->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->b)->Prop))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396440>, <kernel.DependentProduct object at 0x23960e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re1652452067_a_a_o:(((a->(c->c))->((a->a)->Prop))->((((a->(d->d))->Prop)->(((a->a)->Prop)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->a)->Prop))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396f38>, <kernel.DependentProduct object at 0x2396c68>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re332737826_a_b_o:(((a->(c->c))->((a->a)->Prop))->((((a->(d->d))->Prop)->(((a->b)->Prop)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->b)->Prop))->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396c20>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re2074539676_a_o_o:(((a->(c->c))->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((a->a)->Prop)->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396ef0>, <kernel.DependentProduct object at 0x23967a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re1256092317_b_o_o:(((a->(c->c))->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((a->b)->Prop)->Prop))))
% 0.54/0.70 FOF formula (<kernel.Constant object at 0x2396440>, <kernel.DependentProduct object at 0x2396878>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.54/0.70 Using role type
% 0.54/0.70 Declaring bNF_re387831090_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((((c->c)->a)->(a->(c->c)))->((((d->d)->b)->(b->(d->d)))->Prop))->(((a->(c->c))->(((c->c)->a)->(a->(c->c))))->(((b->(d->d))->(((d->d)->b)->(b->(d->d))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396f38>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re364486559_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->(c->c))->(((c->c)->a)->(a->(c->c))))->(((b->(d->d))->(((d->d)->b)->(b->(d->d))))->Prop))->(((a->(c->c))->((a->(c->c))->(((c->c)->a)->(a->(c->c)))))->(((b->(d->d))->((b->(d->d))->(((d->d)->b)->(b->(d->d)))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396290>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re1855937521_d_d_o:(((a->(c->c))->((b->(d->d))->Prop))->((((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396998>, <kernel.DependentProduct object at 0x2396488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re631104669_a_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->a)->(a->(c->c)))->(((a->b)->(a->(d->d)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((b->(d->d))->((a->b)->(a->(d->d))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396050>, <kernel.DependentProduct object at 0x23967a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re1062117919_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->a)->(a->(c->c)))->(((b->b)->(b->(d->d)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x23965a8>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re1160226589_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((b->a)->(b->(c->c)))->(((b->b)->(b->(d->d)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396ea8>, <kernel.DependentProduct object at 0x2396488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J
% 0.54/0.72 Using role type
% 0.54/0.72 Declaring bNF_re2120361759_d_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((c->a)->(c->(c->c)))->(((d->b)->(d->(d->d)))->Prop))->(((a->(c->c))->((c->a)->(c->(c->c))))->(((b->(d->d))->((d->b)->(d->(d->d))))->Prop))))
% 0.54/0.72 FOF formula (<kernel.Constant object at 0x2396ab8>, <kernel.DependentProduct object at 0x2396560>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re727696351_d_b_d:(((a->(c->c))->((b->(d->d))->Prop))->((((c->c)->(((c->c)->c)->(a->c)))->(((d->d)->(((d->d)->d)->(b->d)))->Prop))->(((a->(c->c))->((c->c)->(((c->c)->c)->(a->c))))->(((b->(d->d))->((d->d)->(((d->d)->d)->(b->d))))->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2396248>, <kernel.DependentProduct object at 0x2396488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_Itf__b_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re1424479610_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((a->((c->c)->(a->(c->c))))->((b->((d->d)->(b->(d->d))))->Prop))->(((a->(c->c))->(a->((c->c)->(a->(c->c)))))->(((b->(d->d))->(b->((d->d)->(b->(d->d)))))->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2396dd0>, <kernel.DependentProduct object at 0x23967a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re692482399_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->(a->(c->c)))->(((b->(d->d))->(b->(d->d)))->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2396950>, <kernel.DependentProduct object at 0x23967a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re84044842_c_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((c->c)->((d->d)->Prop))->(((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_Eo_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re1501709470_d_o_o:(((a->(c->c))->((b->(d->d))->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x23969e0>, <kernel.DependentProduct object at 0x23961b8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re1620723804_a_o_o:(((a->(d->d))->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->(d->d))->Prop)->(((a->a)->Prop)->Prop))))
% 0.54/0.73 FOF formula (<kernel.Constant object at 0x2396a28>, <kernel.DependentProduct object at 0x2396830>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo
% 0.54/0.73 Using role type
% 0.54/0.73 Declaring bNF_re802276445_b_o_o:(((a->(d->d))->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->(d->d))->Prop)->(((a->b)->Prop)->Prop))))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2396950>, <kernel.DependentProduct object at 0x2396560>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring bNF_re1503602041_a_a_a:(((a->a)->((a->a)->Prop))->(((((c->c)->a)->((c->c)->a))->(((a->a)->(a->a))->Prop))->(((a->a)->(((c->c)->a)->((c->c)->a)))->(((a->a)->((a->a)->(a->a)))->Prop))))
% 0.54/0.74 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x2396170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J
% 0.54/0.74 Using role type
% 0.54/0.74 Declaring bNF_re1258259453_a_a_a:(((a->a)->((a->a)->Prop))->((((a->a)->(a->a))->(((a->a)->(a->a))->Prop))->(((a->a)->((a->a)->(a->a)))->(((a->a)->((a->a)->(a->a)))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x23961b8>, <kernel.DependentProduct object at 0x23969e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1900831913_a_a_o:(((a->a)->((a->a)->Prop))->((((a->a)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x23967a0>, <kernel.DependentProduct object at 0x2396a28>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re581117672_a_b_o:(((a->a)->((a->a)->Prop))->((((a->a)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396950>, <kernel.DependentProduct object at 0x2396e60>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re984549674_a_a_o:(((a->a)->((a->a)->Prop))->((((a->b)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x263acf8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1812319081_a_b_o:(((a->a)->((a->a)->Prop))->((((a->b)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x23961b8>, <kernel.DependentProduct object at 0x263ab48>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1691224489_a_c_c:(((a->a)->((a->a)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->(a->(c->c)))->(((a->a)->(a->(c->c)))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396e60>, <kernel.DependentProduct object at 0x263ab90>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1690311157_a_a_a:(((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->(a->a))->(((a->a)->(a->a))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x263a8c0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1698572662_a_a_b:(((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->(a->a))->(((a->a)->(a->b))->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x23961b8>, <kernel.DependentProduct object at 0x263ab48>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re134330537_a_o_o:(((a->a)->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->a)->Prop)->(((a->a)->Prop)->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x263a8c0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001tf__a_001tf__a
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re571457705_a_a_a:(((a->a)->((a->a)->Prop))->((a->(a->Prop))->(((a->a)->a)->(((a->a)->a)->Prop))))
% 0.61/0.75 FOF formula (<kernel.Constant object at 0x2396e60>, <kernel.DependentProduct object at 0x263a9e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__b_J_J
% 0.61/0.75 Using role type
% 0.61/0.75 Declaring bNF_re1514436479_a_a_b:(((a->a)->((a->b)->Prop))->((((a->a)->(a->a))->(((a->a)->(a->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((a->b)->((a->a)->(a->b)))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x263aab8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re390230442_a_a_o:(((a->a)->((a->b)->Prop))->((((a->a)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->b)->((a->a)->Prop))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x2396e18>, <kernel.DependentProduct object at 0x263ac68>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re1217999849_a_b_o:(((a->a)->((a->b)->Prop))->((((a->a)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->b)->((a->b)->Prop))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263acb0>, <kernel.DependentProduct object at 0x263ac68>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re1787520874_a_d_d:(((a->a)->((a->b)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->(a->(c->c)))->(((a->b)->(a->(d->d)))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263ab48>, <kernel.DependentProduct object at 0x2398098>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re857382262_a_a_a:(((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->(a->a))->(((a->b)->(a->a))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263af38>, <kernel.DependentProduct object at 0x2398050>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re865643767_a_a_b:(((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->(a->a))->(((a->b)->(a->b))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263ac68>, <kernel.DependentProduct object at 0x2398050>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re1463366826_b_o_o:(((a->a)->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->a)->Prop)->(((a->b)->Prop)->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263ab48>, <kernel.DependentProduct object at 0x2398b48>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001tf__a_001tf__b
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re473406379_b_a_b:(((a->a)->((a->b)->Prop))->((a->(b->Prop))->(((a->a)->a)->(((a->b)->b)->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263af38>, <kernel.DependentProduct object at 0x2398d40>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__a_J_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re539937469_b_a_a:(((a->a)->((b->a)->Prop))->((((a->a)->(a->a))->(((a->b)->(a->a))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->a)->((a->b)->(a->a)))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263ab48>, <kernel.DependentProduct object at 0x2398d40>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J
% 0.62/0.77 Using role type
% 0.62/0.77 Declaring bNF_re1665173865_b_c_c:(((a->a)->((b->a)->Prop))->(((a->(c->c))->((b->(c->c))->Prop))->(((a->a)->(a->(c->c)))->(((b->a)->(b->(c->c)))->Prop))))
% 0.62/0.77 FOF formula (<kernel.Constant object at 0x263ac68>, <kernel.DependentProduct object at 0x2398b48>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re932551557_b_d_d:(((a->a)->((b->b)->Prop))->(((((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))->((((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))->Prop))->(((a->a)->(((c->c)->(c->c))->((a->(c->c))->(a->(c->c)))))->(((b->b)->(((d->d)->(d->d))->((b->(d->d))->(b->(d->d)))))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x263ab48>, <kernel.DependentProduct object at 0x2398050>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__b_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re796114495_b_a_b:(((a->a)->((b->b)->Prop))->((((a->a)->(a->a))->(((a->b)->(a->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->b)->((a->b)->(a->b)))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x263ab48>, <kernel.DependentProduct object at 0x23984d0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re835672381_b_b_b:(((a->a)->((b->b)->Prop))->((((a->a)->(a->a))->(((b->b)->(b->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->b)->((b->b)->(b->b)))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x2398d40>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re774352699_b_b_b:(((a->a)->((b->b)->Prop))->((((b->a)->(b->a))->(((b->b)->(b->b))->Prop))->(((a->a)->((b->a)->(b->a)))->(((b->b)->((b->b)->(b->b)))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398ab8>, <kernel.DependentProduct object at 0x23981b8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re1761470250_b_d_d:(((a->a)->((b->b)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((a->a)->(a->(c->c)))->(((b->b)->(b->(d->d)))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398cb0>, <kernel.DependentProduct object at 0x2398c20>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re1307884917_a_b_b:(((a->a)->((b->b)->Prop))->(((a->a)->((b->b)->Prop))->(((a->a)->(a->a))->(((b->b)->(b->b))->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398098>, <kernel.DependentProduct object at 0x2398ef0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001tf__a_001tf__b
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re2087760490_b_a_b:(((a->a)->((b->b)->Prop))->((a->(b->Prop))->(((a->a)->a)->(((b->b)->b)->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398518>, <kernel.DependentProduct object at 0x2398ab8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re1906994858_a_o_o:(((a->b)->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->b)->Prop)->(((a->a)->Prop)->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x250f290>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo
% 0.62/0.79 Using role type
% 0.62/0.79 Declaring bNF_re1088547499_b_o_o:(((a->b)->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->b)->Prop)->(((a->b)->Prop)->Prop))))
% 0.62/0.79 FOF formula (<kernel.Constant object at 0x2398cb0>, <kernel.DependentProduct object at 0x250f200>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J_001_062_I_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1606289753_b_d_d:(((a->c)->((b->d)->Prop))->((((c->(c->c))->((c->c)->(a->(c->c))))->(((d->(d->d))->((d->d)->(b->(d->d))))->Prop))->(((a->c)->((c->(c->c))->((c->c)->(a->(c->c)))))->(((b->d)->((d->(d->d))->((d->d)->(b->(d->d)))))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x23989e0>, <kernel.DependentProduct object at 0x2398950>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re561231771_a_c_c:(((b->(d->d))->((a->(c->c))->Prop))->((((b->b)->(b->(d->d)))->(((a->a)->(a->(c->c)))->Prop))->(((b->(d->d))->((b->b)->(b->(d->d))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398518>, <kernel.DependentProduct object at 0x2398cb0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re742509149_b_d_d:(((b->(d->d))->((b->(d->d))->Prop))->((((b->b)->(b->(d->d)))->(((b->b)->(b->(d->d)))->Prop))->(((b->(d->d))->((b->b)->(b->(d->d))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x250f488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1591514407_a_c_c:(((b->a)->((a->a)->Prop))->(((b->(c->c))->((a->(c->c))->Prop))->(((b->a)->(b->(c->c)))->(((a->a)->(a->(c->c)))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x23989e0>, <kernel.DependentProduct object at 0x250f488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1565463783_b_c_c:(((b->a)->((b->a)->Prop))->(((b->(c->c))->((b->(c->c))->Prop))->(((b->a)->(b->(c->c)))->(((b->a)->(b->(c->c)))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x250f488>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1661760168_b_d_d:(((b->a)->((b->b)->Prop))->(((b->(c->c))->((b->(d->d))->Prop))->(((b->a)->(b->(c->c)))->(((b->b)->(b->(d->d)))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398cb0>, <kernel.DependentProduct object at 0x250f098>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re668686835_a_b_b:(((b->a)->((b->b)->Prop))->(((b->a)->((b->b)->Prop))->(((b->a)->(b->a))->(((b->b)->(b->b))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x250f1b8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1794062813_d_d_b:(((b->b)->(((d->d)->b)->Prop))->(((b->b)->(((d->d)->b)->Prop))->(((b->b)->(b->b))->((((d->d)->b)->((d->d)->b))->Prop))))
% 0.62/0.80 FOF formula (<kernel.Constant object at 0x2398950>, <kernel.DependentProduct object at 0x250f3b0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J
% 0.62/0.80 Using role type
% 0.62/0.80 Declaring bNF_re1645058365_a_a_a:(((b->b)->((a->a)->Prop))->((((b->b)->(b->b))->(((a->a)->(a->a))->Prop))->(((b->b)->((b->b)->(b->b)))->(((a->a)->((a->a)->(a->a)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f248>, <kernel.DependentProduct object at 0x250f368>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re1342462312_a_c_c:(((b->b)->((a->a)->Prop))->(((b->(d->d))->((a->(c->c))->Prop))->(((b->b)->(b->(d->d)))->(((a->a)->(a->(c->c)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f518>, <kernel.DependentProduct object at 0x250f5a8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re310361461_b_a_a:(((b->b)->((a->a)->Prop))->(((b->b)->((a->a)->Prop))->(((b->b)->(b->b))->(((a->a)->(a->a))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f200>, <kernel.DependentProduct object at 0x250f098>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re1138812345_b_b_b:(((b->b)->((b->b)->Prop))->(((((d->d)->b)->((d->d)->b))->(((b->b)->(b->b))->Prop))->(((b->b)->(((d->d)->b)->((d->d)->b)))->(((b->b)->((b->b)->(b->b)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f5f0>, <kernel.DependentProduct object at 0x250f638>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re961930425_d_d_b:(((b->b)->((b->b)->Prop))->((((b->b)->(b->b))->((((d->d)->b)->((d->d)->b))->Prop))->(((b->b)->((b->b)->(b->b)))->(((b->b)->(((d->d)->b)->((d->d)->b)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f488>, <kernel.DependentProduct object at 0x250f170>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re1222471293_b_b_b:(((b->b)->((b->b)->Prop))->((((b->b)->(b->b))->(((b->b)->(b->b))->Prop))->(((b->b)->((b->b)->(b->b)))->(((b->b)->((b->b)->(b->b)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f128>, <kernel.DependentProduct object at 0x250f5f0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re1412708073_b_d_d:(((b->b)->((b->b)->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->(((b->b)->(b->(d->d)))->(((b->b)->(b->(d->d)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f6c8>, <kernel.DependentProduct object at 0x250f248>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re2075418869_b_b_b:(((b->b)->((b->b)->Prop))->(((b->b)->((b->b)->Prop))->(((b->b)->(b->b))->(((b->b)->(b->b))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f560>, <kernel.DependentProduct object at 0x250f7a0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_M_062_Itf__c_M_Eo_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_M_062_Itf__d_M_Eo_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J
% 0.66/0.82 Using role type
% 0.66/0.82 Declaring bNF_re921674337_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->(c->Prop))->((c->c)->Prop))->(((d->(d->Prop))->((d->d)->Prop))->Prop))->(((c->(c->Prop))->((c->(c->Prop))->((c->c)->Prop)))->(((d->(d->Prop))->((d->(d->Prop))->((d->d)->Prop)))->Prop))))
% 0.66/0.82 FOF formula (<kernel.Constant object at 0x250f758>, <kernel.DependentProduct object at 0x250f710>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re764708765_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->(((c->(c->Prop))->((c->c)->((c->c)->Prop)))->(((d->(d->Prop))->((d->d)->((d->d)->Prop)))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f290>, <kernel.DependentProduct object at 0x250f200>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re27482973_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->c)->Prop)->(((d->d)->Prop)->Prop))->(((c->(c->Prop))->((c->c)->Prop))->(((d->(d->Prop))->((d->d)->Prop))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f440>, <kernel.DependentProduct object at 0x250f128>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re1507718559_b_d_d:(((c->(c->c))->((d->(d->d))->Prop))->((((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop))->(((c->(c->c))->((c->c)->(a->(c->c))))->(((d->(d->d))->((d->d)->(b->(d->d))))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f7a0>, <kernel.DependentProduct object at 0x250f560>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re1164948833_d_d_d:(((c->a)->((d->b)->Prop))->(((((c->c)->c)->((a->(c->c))->(c->c)))->((((d->d)->d)->((b->(d->d))->(d->d)))->Prop))->(((c->a)->(((c->c)->c)->((a->(c->c))->(c->c))))->(((d->b)->(((d->d)->d)->((b->(d->d))->(d->d))))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f488>, <kernel.DependentProduct object at 0x250f440>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re1509948838_d_d_d:(((c->a)->((d->b)->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->(((c->a)->(c->(c->c)))->(((d->b)->(d->(d->d)))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f710>, <kernel.DependentProduct object at 0x250f290>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re335372010_d_b_d:(((c->c)->((d->d)->Prop))->(((((c->c)->c)->(a->c))->((((d->d)->d)->(b->d))->Prop))->(((c->c)->(((c->c)->c)->(a->c)))->(((d->d)->(((d->d)->d)->(b->d)))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f248>, <kernel.DependentProduct object at 0x250f830>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J_J
% 0.66/0.83 Using role type
% 0.66/0.83 Declaring bNF_re1709888353_d_d_d:(((c->c)->((d->d)->Prop))->((((a->(c->c))->((c->a)->(c->(c->c))))->(((b->(d->d))->((d->b)->(d->(d->d))))->Prop))->(((c->c)->((a->(c->c))->((c->a)->(c->(c->c)))))->(((d->d)->((b->(d->d))->((d->b)->(d->(d->d)))))->Prop))))
% 0.66/0.83 FOF formula (<kernel.Constant object at 0x250f908>, <kernel.DependentProduct object at 0x250f998>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re888371717_d_d_d:(((c->c)->((d->d)->Prop))->((((c->c)->((c->c)->(c->c)))->(((d->d)->((d->d)->(d->d)))->Prop))->(((c->c)->((c->c)->((c->c)->(c->c))))->(((d->d)->((d->d)->((d->d)->(d->d))))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f3f8>, <kernel.DependentProduct object at 0x250f4d0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re764096061_d_d_d:(((c->c)->((d->d)->Prop))->((((c->c)->(c->c))->(((d->d)->(d->d))->Prop))->(((c->c)->((c->c)->(c->c)))->(((d->d)->((d->d)->(d->d)))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f878>, <kernel.DependentProduct object at 0x250fab8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re781155241_d_d_o:(((c->c)->((d->d)->Prop))->((((c->c)->Prop)->(((d->d)->Prop)->Prop))->(((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f200>, <kernel.DependentProduct object at 0x250f3f8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re1145286186_b_d_d:(((c->c)->((d->d)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f950>, <kernel.DependentProduct object at 0x250f878>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_Itf__d_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re1941803873_d_d_d:(((c->c)->((d->d)->Prop))->(((c->(c->(c->c)))->((d->(d->(d->d)))->Prop))->(((c->c)->(c->(c->(c->c))))->(((d->d)->(d->(d->(d->d))))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f9e0>, <kernel.DependentProduct object at 0x250f2d8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re2078100341_c_d_d:(((c->c)->((d->d)->Prop))->(((c->c)->((d->d)->Prop))->(((c->c)->(c->c))->(((d->d)->(d->d))->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f488>, <kernel.DependentProduct object at 0x250f908>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_Eo_001_Eo
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re857878889_d_o_o:(((c->c)->((d->d)->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->(((d->d)->Prop)->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f710>, <kernel.DependentProduct object at 0x250f200>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__b
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re1795127658_d_a_b:(((c->c)->((d->d)->Prop))->((a->(b->Prop))->(((c->c)->a)->(((d->d)->b)->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250f8c0>, <kernel.DependentProduct object at 0x250f9e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__c_001tf__d
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re1303182826_d_c_d:(((c->c)->((d->d)->Prop))->((c->(d->Prop))->(((c->c)->c)->(((d->d)->d)->Prop))))
% 0.70/0.84 FOF formula (<kernel.Constant object at 0x250fb00>, <kernel.DependentProduct object at 0x250fa70>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__a_M_Eo_J
% 0.70/0.84 Using role type
% 0.70/0.84 Declaring bNF_re1450278895_o_a_o:(((c->c)->(a->Prop))->((((c->c)->Prop)->((a->Prop)->Prop))->(((c->c)->((c->c)->Prop))->((a->(a->Prop))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fb48>, <kernel.DependentProduct object at 0x250fc20>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__b_M_Eo_J
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re2038641070_o_b_o:(((c->c)->(a->Prop))->((((c->c)->Prop)->((b->Prop)->Prop))->(((c->c)->((c->c)->Prop))->((a->(b->Prop))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250f2d8>, <kernel.DependentProduct object at 0x250f9e0>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__a_M_Eo_J
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re1306877487_o_a_o:(((c->c)->(a->Prop))->((((d->d)->Prop)->((a->Prop)->Prop))->(((c->c)->((d->d)->Prop))->((a->(a->Prop))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250f6c8>, <kernel.DependentProduct object at 0x250fa70>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__b_M_Eo_J
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re1895239662_o_b_o:(((c->c)->(a->Prop))->((((d->d)->Prop)->((b->Prop)->Prop))->(((c->c)->((d->d)->Prop))->((a->(b->Prop))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250f248>, <kernel.DependentProduct object at 0x250fa28>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_Eo_001_Eo
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re883196986_a_o_o:(((c->c)->(a->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->((a->Prop)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fc68>, <kernel.DependentProduct object at 0x250fc20>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a_001tf__a
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re1424579386_a_a_a:(((c->c)->(a->Prop))->((a->(a->Prop))->(((c->c)->a)->((a->a)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250f488>, <kernel.DependentProduct object at 0x250fd40>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__b_001_Eo_001_Eo
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re90976443_b_o_o:(((c->c)->(b->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->((b->Prop)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fcb0>, <kernel.DependentProduct object at 0x250fcf8>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__a_001_Eo_001_Eo
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re991543930_a_o_o:(((d->d)->(a->Prop))->((Prop->(Prop->Prop))->(((d->d)->Prop)->((a->Prop)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fb90>, <kernel.DependentProduct object at 0x250fd88>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001_Eo_001_Eo
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re199323387_b_o_o:(((d->d)->(b->Prop))->((Prop->(Prop->Prop))->(((d->d)->Prop)->((b->Prop)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fbd8>, <kernel.DependentProduct object at 0x250f248>) of role type named sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b_001tf__b
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re1703323451_b_b_b:(((d->d)->(b->Prop))->((b->(b->Prop))->(((d->d)->b)->((b->b)->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250f6c8>, <kernel.DependentProduct object at 0x250fe60>) of role type named sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re1705765981_a_a_a:((Prop->(Prop->Prop))->(((a->(a->a))->((a->(a->a))->Prop))->((Prop->(a->(a->a)))->((Prop->(a->(a->a)))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fb90>, <kernel.DependentProduct object at 0x250fea8>) of role type named sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__b_M_062_Itf__b_Mtf__b_J_J
% 0.70/0.85 Using role type
% 0.70/0.85 Declaring bNF_re588060702_b_b_b:((Prop->(Prop->Prop))->(((a->(a->a))->((b->(b->b))->Prop))->((Prop->(a->(a->a)))->((Prop->(b->(b->b)))->Prop))))
% 0.70/0.85 FOF formula (<kernel.Constant object at 0x250fbd8>, <kernel.DependentProduct object at 0x250ff80>) of role type named sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re647211934_d_d_d:((Prop->(Prop->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->((Prop->(c->(c->c)))->((Prop->(d->(d->d)))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250f6c8>, <kernel.DependentProduct object at 0x250fa70>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1482032989_c_c_c:((a->(a->Prop))->((((a->(c->c))->(c->c))->(((a->(c->c))->(c->c))->Prop))->((a->((a->(c->c))->(c->c)))->((a->((a->(c->c))->(c->c)))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fef0>, <kernel.DependentProduct object at 0x250fd40>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1391160029_d_d_d:((a->(a->Prop))->((((a->(c->c))->(c->c))->(((a->(d->d))->(d->d))->Prop))->((a->((a->(c->c))->(c->c)))->((a->((a->(d->d))->(d->d)))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fdd0>, <kernel.DependentProduct object at 0x250ff38>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re865741149_a_a_a:((a->(a->Prop))->((((a->a)->a)->(((a->a)->a)->Prop))->((a->((a->a)->a))->((a->((a->a)->a))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fcf8>, <kernel.DependentProduct object at 0x250ff80>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_Mtf__b_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1093913501_a_b_b:((a->(a->Prop))->((((a->a)->a)->(((a->b)->b)->Prop))->((a->((a->a)->a))->((a->((a->b)->b))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fd88>, <kernel.DependentProduct object at 0x250fe60>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1690123229_o_a_o:((a->(a->Prop))->(((a->Prop)->((a->Prop)->Prop))->((a->(a->Prop))->((a->(a->Prop))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fd40>, <kernel.DependentProduct object at 0x250fcb0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re131001756_o_b_o:((a->(a->Prop))->(((a->Prop)->((b->Prop)->Prop))->((a->(a->Prop))->((a->(b->Prop))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250ff38>, <kernel.DependentProduct object at 0x250fcb0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re911029929_a_a_a:((a->(a->Prop))->(((a->a)->((a->a)->Prop))->((a->(a->a))->((a->(a->a))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250ff80>, <kernel.DependentProduct object at 0x250fea8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__a_M_Eo_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1809376028_o_a_o:((a->(a->Prop))->(((b->Prop)->((a->Prop)->Prop))->((a->(b->Prop))->((a->(a->Prop))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fa70>, <kernel.DependentProduct object at 0x250ffc8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__b_M_Eo_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re250254555_o_b_o:((a->(a->Prop))->(((b->Prop)->((b->Prop)->Prop))->((a->(b->Prop))->((a->(b->Prop))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250f248>, <kernel.DependentProduct object at 0x250ffc8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.70/0.86 Using role type
% 0.70/0.86 Declaring bNF_re1143700905_c_c_c:((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop))))
% 0.70/0.86 FOF formula (<kernel.Constant object at 0x250fe60>, <kernel.DependentProduct object at 0x250fa70>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re1979731817_c_d_d:((a->(a->Prop))->(((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fcb0>, <kernel.DependentProduct object at 0x2387128>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re950444090_c_c_a:((a->(a->Prop))->(((c->c)->(a->Prop))->((a->(c->c))->((a->a)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fa70>, <kernel.DependentProduct object at 0x2387170>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re950444091_c_c_b:((a->(a->Prop))->(((c->c)->(b->Prop))->((a->(c->c))->((a->b)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fe60>, <kernel.DependentProduct object at 0x2387050>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__a
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re2038021754_d_d_a:((a->(a->Prop))->(((d->d)->(a->Prop))->((a->(d->d))->((a->a)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fa70>, <kernel.DependentProduct object at 0x2387098>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__b
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re2038021755_d_d_b:((a->(a->Prop))->(((d->d)->(b->Prop))->((a->(d->d))->((a->b)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fe60>, <kernel.DependentProduct object at 0x2387170>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_Eo_001_Eo
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_rel_fun_a_a_o_o:((a->(a->Prop))->((Prop->(Prop->Prop))->((a->Prop)->((a->Prop)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fcb0>, <kernel.DependentProduct object at 0x2387248>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__a
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_rel_fun_a_a_a_a:((a->(a->Prop))->((a->(a->Prop))->((a->a)->((a->a)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x250fcb0>, <kernel.DependentProduct object at 0x2387098>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__b
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_rel_fun_a_a_a_b:((a->(a->Prop))->((a->(b->Prop))->((a->a)->((a->b)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x23870e0>, <kernel.DependentProduct object at 0x23871b8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__a
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_rel_fun_a_a_b_a:((a->(a->Prop))->((b->(a->Prop))->((a->b)->((a->a)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2387128>, <kernel.DependentProduct object at 0x2387200>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__b
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_rel_fun_a_a_b_b:((a->(a->Prop))->((b->(b->Prop))->((a->b)->((a->b)->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2387050>, <kernel.DependentProduct object at 0x23872d8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re1327926367_d_d_d:((a->(b->Prop))->((((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop))->((a->((a->(c->c))->(c->c)))->((b->((b->(d->d))->(d->d)))->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x2387098>, <kernel.DependentProduct object at 0x2387488>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_Mtf__b_J
% 0.70/0.87 Using role type
% 0.70/0.87 Declaring bNF_re1730737055_b_b_b:((a->(b->Prop))->((((a->a)->a)->(((b->b)->b)->Prop))->((a->((a->a)->a))->((b->((b->b)->b))->Prop))))
% 0.70/0.87 FOF formula (<kernel.Constant object at 0x23871b8>, <kernel.DependentProduct object at 0x2387368>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re1573878111_b_d_d:((a->(b->Prop))->((((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop))->((a->((c->c)->(a->(c->c))))->((b->((d->d)->(b->(d->d))))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387560>, <kernel.DependentProduct object at 0x23876c8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re1977372894_o_a_o:((a->(b->Prop))->(((a->Prop)->((a->Prop)->Prop))->((a->(a->Prop))->((b->(a->Prop))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x23872d8>, <kernel.DependentProduct object at 0x2387680>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re418251421_o_b_o:((a->(b->Prop))->(((a->Prop)->((b->Prop)->Prop))->((a->(a->Prop))->((b->(b->Prop))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387200>, <kernel.DependentProduct object at 0x2387440>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re569932906_a_b_b:((a->(b->Prop))->(((a->a)->((b->b)->Prop))->((a->(a->a))->((b->(b->b))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387368>, <kernel.DependentProduct object at 0x2387710>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re2114056618_c_c_c:((a->(b->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->((b->(c->c))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x23874d0>, <kernel.DependentProduct object at 0x2387680>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re802603882_c_d_d:((a->(b->Prop))->(((c->c)->((d->d)->Prop))->((a->(c->c))->((b->(d->d))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x23875f0>, <kernel.DependentProduct object at 0x2387710>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_Eo_001_Eo
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_rel_fun_a_b_o_o:((a->(b->Prop))->((Prop->(Prop->Prop))->((a->Prop)->((b->Prop)->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x23877a0>, <kernel.DependentProduct object at 0x23875a8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__a
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_rel_fun_a_b_a_a:((a->(b->Prop))->((a->(a->Prop))->((a->a)->((b->a)->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387638>, <kernel.DependentProduct object at 0x2387368>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__b
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_rel_fun_a_b_a_b:((a->(b->Prop))->((a->(b->Prop))->((a->a)->((b->b)->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387290>, <kernel.DependentProduct object at 0x23873f8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__c_001tf__d
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_rel_fun_a_b_c_d:((a->(b->Prop))->((c->(d->Prop))->((a->c)->((b->d)->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387710>, <kernel.DependentProduct object at 0x23876c8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re1573506119_d_b_b:((b->((d->d)->Prop))->((b->(b->Prop))->((b->b)->(((d->d)->b)->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x23875a8>, <kernel.DependentProduct object at 0x23878c0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re758172648_c_c_c:((b->(a->Prop))->(((c->c)->((c->c)->Prop))->((b->(c->c))->((a->(c->c))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387638>, <kernel.DependentProduct object at 0x2387488>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J
% 0.70/0.88 Using role type
% 0.70/0.88 Declaring bNF_re38477224_d_c_c:((b->(a->Prop))->(((d->d)->((c->c)->Prop))->((b->(d->d))->((a->(c->c))->Prop))))
% 0.70/0.88 FOF formula (<kernel.Constant object at 0x2387440>, <kernel.DependentProduct object at 0x23878c0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_Eo_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_a_o_o:((b->(a->Prop))->((Prop->(Prop->Prop))->((b->Prop)->((a->Prop)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387908>, <kernel.DependentProduct object at 0x2387950>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__a_001tf__a
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_a_a_a:((b->(a->Prop))->((a->(a->Prop))->((b->a)->((a->a)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387368>, <kernel.DependentProduct object at 0x23875a8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__b_001tf__a
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_a_b_a:((b->(a->Prop))->((b->(a->Prop))->((b->b)->((a->a)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387998>, <kernel.DependentProduct object at 0x2387830>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_re1728528361_c_c_c:((b->(b->Prop))->(((c->c)->((c->c)->Prop))->((b->(c->c))->((b->(c->c))->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x23878c0>, <kernel.DependentProduct object at 0x2387a28>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_re417075625_c_d_d:((b->(b->Prop))->(((c->c)->((d->d)->Prop))->((b->(c->c))->((b->(d->d))->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x23876c8>, <kernel.DependentProduct object at 0x23875a8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_re1844863849_d_d_d:((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387a70>, <kernel.DependentProduct object at 0x2387a28>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_Eo_001_Eo
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_b_o_o:((b->(b->Prop))->((Prop->(Prop->Prop))->((b->Prop)->((b->Prop)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387ab8>, <kernel.DependentProduct object at 0x23873f8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__a
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_b_a_a:((b->(b->Prop))->((a->(a->Prop))->((b->a)->((b->a)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387758>, <kernel.DependentProduct object at 0x23878c0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__b
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_b_a_b:((b->(b->Prop))->((a->(b->Prop))->((b->a)->((b->b)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387b48>, <kernel.DependentProduct object at 0x23879e0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__b_001tf__b
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_b_b_b_b:((b->(b->Prop))->((b->(b->Prop))->((b->b)->((b->b)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x2387a28>, <kernel.DependentProduct object at 0x2387950>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__c_001tf__c_001tf__c
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_rel_fun_c_c_c_c:((c->(c->Prop))->((c->(c->Prop))->((c->c)->((c->c)->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x23873f8>, <kernel.DependentProduct object at 0x2387bd8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_re1313098655_d_d_d:((c->(d->Prop))->((((c->c)->c)->(((d->d)->d)->Prop))->((c->((c->c)->c))->((d->((d->d)->d))->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x23878c0>, <kernel.DependentProduct object at 0x2387878>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J
% 0.70/0.89 Using role type
% 0.70/0.89 Declaring bNF_re822780063_d_d_d:((c->(d->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->((c->(c->(c->c)))->((d->(d->(d->d)))->Prop))))
% 0.70/0.89 FOF formula (<kernel.Constant object at 0x23879e0>, <kernel.DependentProduct object at 0x2387b00>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_Eo_J_001_062_Itf__d_M_Eo_J
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_re391428377_o_d_o:((c->(d->Prop))->(((c->Prop)->((d->Prop)->Prop))->((c->(c->Prop))->((d->(d->Prop))->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387950>, <kernel.DependentProduct object at 0x2387b90>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_re1972258794_c_d_d:((c->(d->Prop))->(((c->c)->((d->d)->Prop))->((c->(c->c))->((d->(d->d))->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387bd8>, <kernel.DependentProduct object at 0x2387b00>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_Eo_001_Eo
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_rel_fun_c_d_o_o:((c->(d->Prop))->((Prop->(Prop->Prop))->((c->Prop)->((d->Prop)->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387c20>, <kernel.DependentProduct object at 0x2387d88>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__a_001tf__b
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_rel_fun_c_d_a_b:((c->(d->Prop))->((a->(b->Prop))->((c->a)->((d->b)->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387830>, <kernel.DependentProduct object at 0x23879e0>) of role type named sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__c_001tf__d
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_rel_fun_c_d_c_d:((c->(d->Prop))->((c->(d->Prop))->((c->c)->((d->d)->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387e18>, <kernel.DependentProduct object at 0x2387cf8>) of role type named sy_c_BNF__Def_Orel__fun_001tf__d_001tf__d_001tf__d_001tf__d
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring bNF_rel_fun_d_d_d_d:((d->(d->Prop))->((d->(d->Prop))->((d->d)->((d->d)->Prop))))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387b00>, <kernel.DependentProduct object at 0x2387cb0>) of role type named sy_c_Complete__Partial__Order_Omonotone_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring comple1702356924_a_c_c:((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->Prop)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387d88>, <kernel.DependentProduct object at 0x2387d40>) of role type named sy_c_Complete__Partial__Order_Omonotone_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring comple61207421_b_d_d:((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->Prop)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x23879e0>, <kernel.DependentProduct object at 0x2387ea8>) of role type named sy_c_Complete__Partial__Order_Omonotone_001tf__c_001tf__c
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring comple787379047ne_c_c:((c->(c->Prop))->((c->(c->Prop))->((c->c)->Prop)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x23877e8>, <kernel.DependentProduct object at 0x2387e60>) of role type named sy_c_Complete__Partial__Order_Omonotone_001tf__d_001tf__d
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring comple1615148455ne_d_d:((d->(d->Prop))->((d->(d->Prop))->((d->d)->Prop)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387320>, <kernel.DependentProduct object at 0x2387ef0>) of role type named sy_c_FSet_Offold_001tf__a_001tf__c
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring ffold_a_c:((a->(c->c))->(c->(fset_a->c)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387b00>, <kernel.DependentProduct object at 0x2387cb0>) of role type named sy_c_FSet_Offold_001tf__b_001tf__d
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring ffold_b_d:((b->(d->d))->(d->(fset_b->d)))
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x23877e8>, <kernel.DependentProduct object at 0x2387c68>) of role type named sy_c_Finite__Set_Ocomp__fun__commute_001tf__a_001tf__c
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring finite746615251te_a_c:((a->(c->c))->Prop)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387320>, <kernel.DependentProduct object at 0x2387b00>) of role type named sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__c
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring finite1574384658te_b_c:((b->(c->c))->Prop)
% 0.70/0.90 FOF formula (<kernel.Constant object at 0x2387ea8>, <kernel.DependentProduct object at 0x2387c68>) of role type named sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__d
% 0.70/0.90 Using role type
% 0.70/0.90 Declaring finite1574384659te_b_d:((b->(d->d))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387f38>, <kernel.DependentProduct object at 0x2387b00>) of role type named sy_c_Finite__Set_Ocomp__fun__idem_001tf__a_001tf__c
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite40241358em_a_c:((a->(c->c))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387f80>, <kernel.DependentProduct object at 0x2387ea8>) of role type named sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__c
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite868010765em_b_c:((b->(c->c))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387cb0>, <kernel.DependentProduct object at 0x25170e0>) of role type named sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__d
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite868010766em_b_d:((b->(d->d))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x23877e8>, <kernel.DependentProduct object at 0x25170e0>) of role type named sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__a_001tf__c
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite19304177ms_a_c:((a->(c->c))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387c68>, <kernel.DependentProduct object at 0x2517098>) of role type named sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__b_001tf__d
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite847073585ms_b_d:((b->(d->d))->Prop)
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387cb0>, <kernel.DependentProduct object at 0x2517170>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1511629766ph_a_a:((a->(a->a))->(a->(set_a->(a->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x23877e8>, <kernel.DependentProduct object at 0x2517098>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1511629767ph_a_b:((a->(b->b))->(b->(set_a->(b->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387f38>, <kernel.DependentProduct object at 0x2517170>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__c
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1511629768ph_a_c:((a->(c->c))->(c->(set_a->(c->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x23877e8>, <kernel.DependentProduct object at 0x2517098>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__d
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1511629769ph_a_d:((a->(d->d))->(d->(set_a->(d->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387f38>, <kernel.DependentProduct object at 0x2517248>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite191915525ph_b_a:((b->(a->a))->(a->(set_b->(a->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2387f38>, <kernel.DependentProduct object at 0x2517050>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__d
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite191915528ph_b_d:((b->(d->d))->(d->(set_b->(d->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517128>, <kernel.DependentProduct object at 0x25171b8>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1019684932ph_c_a:((c->(a->a))->(a->(set_c->(a->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517320>, <kernel.DependentProduct object at 0x2517170>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1019684933ph_c_b:((c->(b->b))->(b->(set_c->(b->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25172d8>, <kernel.DependentProduct object at 0x2517098>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__c
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1019684934ph_c_c:((c->(c->c))->(c->(set_c->(c->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517248>, <kernel.DependentProduct object at 0x2517128>) of role type named sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__d
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring finite1019684935ph_c_d:((c->(d->d))->(d->(set_c->(d->Prop))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517050>, <kernel.DependentProduct object at 0x2517518>) of role type named sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_a_a_c_c_c_c_a:(((a->a)->(a->(c->c)))->((((c->c)->a)->(a->a))->(((c->c)->a)->(a->(c->c)))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25171b8>, <kernel.DependentProduct object at 0x2517560>) of role type named sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__b_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_b_a_d_d_c_c_b:(((a->b)->(a->(d->d)))->((((c->c)->b)->(a->b))->(((c->c)->b)->(a->(d->d)))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25172d8>, <kernel.DependentProduct object at 0x2517320>) of role type named sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__a_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_b_a_b_c_c_d_d_a:(((b->a)->(b->(c->c)))->((((d->d)->a)->(b->a))->(((d->d)->a)->(b->(c->c)))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517248>, <kernel.DependentProduct object at 0x25175a8>) of role type named sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_b_b_b_d_d_d_d_b:(((b->b)->(b->(d->d)))->((((d->d)->b)->(b->b))->(((d->d)->b)->(b->(d->d)))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517050>, <kernel.DependentProduct object at 0x2517170>) of role type named sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_c_c_c_c_a:(((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25171b8>, <kernel.DependentProduct object at 0x2517710>) of role type named sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_c_c_a_c_c:(((c->c)->a)->(((c->c)->(c->c))->((c->c)->a)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25172d8>, <kernel.DependentProduct object at 0x2517710>) of role type named sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_c_c_a_a:(((c->c)->a)->((a->(c->c))->(a->a)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517680>, <kernel.DependentProduct object at 0x2517710>) of role type named sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_c_c_b_a:(((c->c)->b)->((a->(c->c))->(a->b)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25176c8>, <kernel.DependentProduct object at 0x2517710>) of role type named sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_c_c_b_b:(((c->c)->b)->((b->(c->c))->(b->b)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517050>, <kernel.DependentProduct object at 0x2517320>) of role type named sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_d_d_d_d_b:(((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25171b8>, <kernel.DependentProduct object at 0x2517320>) of role type named sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_d_d_b_b:(((d->d)->b)->((b->(d->d))->(b->b)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517680>, <kernel.DependentProduct object at 0x2517050>) of role type named sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_c_c_a:((a->(c->c))->((a->a)->(a->(c->c))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517758>, <kernel.DependentProduct object at 0x25171b8>) of role type named sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_c_c_b:((a->(c->c))->((b->a)->(b->(c->c))))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25176c8>, <kernel.DependentProduct object at 0x2517908>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_a_c_c:((a->a)->(((c->c)->a)->((c->c)->a)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x2517560>, <kernel.DependentProduct object at 0x2517950>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__a
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_a_a:((a->a)->((a->a)->(a->a)))
% 0.70/0.91 FOF formula (<kernel.Constant object at 0x25178c0>, <kernel.DependentProduct object at 0x2517320>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__b
% 0.70/0.91 Using role type
% 0.70/0.91 Declaring comp_a_a_b:((a->a)->((b->a)->(b->a)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25171b8>, <kernel.DependentProduct object at 0x25177e8>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__a
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_a_b_a:((a->b)->((a->a)->(a->b)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517758>, <kernel.DependentProduct object at 0x2517680>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__b
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_a_b_b:((a->b)->((b->a)->(b->b)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25176c8>, <kernel.DependentProduct object at 0x25171b8>) of role type named sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_c_c_a:((b->(c->c))->((a->b)->(a->(c->c))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517560>, <kernel.DependentProduct object at 0x2517758>) of role type named sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__b
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_c_c_b:((b->(c->c))->((b->b)->(b->(c->c))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25179e0>, <kernel.DependentProduct object at 0x25176c8>) of role type named sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_d_d_a:((b->(d->d))->((a->b)->(a->(d->d))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517a28>, <kernel.DependentProduct object at 0x2517560>) of role type named sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_d_d_b:((b->(d->d))->((b->b)->(b->(d->d))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25172d8>, <kernel.DependentProduct object at 0x2517758>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__a
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_a_a:((b->a)->((a->b)->(a->a)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25177e8>, <kernel.DependentProduct object at 0x2517bd8>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__b
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_a_b:((b->a)->((b->b)->(b->a)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517a70>, <kernel.DependentProduct object at 0x2517b90>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_b_d_d:((b->b)->(((d->d)->b)->((d->d)->b)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25179e0>, <kernel.DependentProduct object at 0x25171b8>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__a
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_b_a:((b->b)->((a->b)->(a->b)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517a28>, <kernel.DependentProduct object at 0x2517680>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__b
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_b_b_b:((b->b)->((b->b)->(b->b)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517bd8>, <kernel.DependentProduct object at 0x25178c0>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__c_001tf__c
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_c_c_c:((c->c)->((c->c)->(c->c)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25177e8>, <kernel.DependentProduct object at 0x25172d8>) of role type named sy_c_Fun_Ocomp_001tf__d_001tf__d_001tf__d
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring comp_d_d_d:((d->d)->((d->d)->(d->d)))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517a70>, <kernel.DependentProduct object at 0x2517a28>) of role type named sy_c_Fun_Ofun__upd_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring fun_upd_a_c_c:((a->(c->c))->(a->((c->c)->(a->(c->c)))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x25179e0>, <kernel.DependentProduct object at 0x2517dd0>) of role type named sy_c_Fun_Ofun__upd_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring fun_upd_b_d_d:((b->(d->d))->(b->((d->d)->(b->(d->d)))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517cf8>, <kernel.DependentProduct object at 0x2517a70>) of role type named sy_c_Fun_Ofun__upd_001tf__c_001tf__c
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring fun_upd_c_c:((c->c)->(c->(c->(c->c))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517d40>, <kernel.DependentProduct object at 0x25179e0>) of role type named sy_c_Fun_Ofun__upd_001tf__d_001tf__d
% 0.70/0.92 Using role type
% 0.70/0.92 Declaring fun_upd_d_d:((d->d)->(d->(d->(d->d))))
% 0.70/0.92 FOF formula (<kernel.Constant object at 0x2517ea8>, <kernel.DependentProduct object at 0x2517f38>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu676564502_a_c_c:(((a->(c->c))->(a->(c->c)))->((((a->a)->(a->(c->c)))->((a->a)->(a->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->((a->(c->c))->((a->a)->(a->(c->c)))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517a28>, <kernel.DependentProduct object at 0x2517fc8>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu232832790_a_c_c:(((a->(c->c))->(b->(d->d)))->((((b->b)->(b->(d->d)))->((a->a)->(a->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->((a->(c->c))->((a->a)->(a->(c->c)))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517ef0>, <kernel.DependentProduct object at 0x25179e0>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu961723106_a_c_c:(((a->a)->(a->a))->(((a->(c->c))->(a->(c->c)))->(((a->a)->(a->(c->c)))->((a->a)->(a->(c->c))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x25178c0>, <kernel.DependentProduct object at 0x2517e60>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu75729569_a_c_c:(((a->a)->(b->b))->(((b->(d->d))->(a->(c->c)))->(((b->b)->(b->(d->d)))->((a->a)->(a->(c->c))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517ea8>, <kernel.DependentProduct object at 0x2517f80>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu981964822_b_d_d:(((b->(d->d))->(a->(c->c)))->((((a->a)->(a->(c->c)))->((b->b)->(b->(d->d))))->(((a->(c->c))->((a->a)->(a->(c->c))))->((b->(d->d))->((b->b)->(b->(d->d)))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517a28>, <kernel.DependentProduct object at 0x2517f80>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu538233110_b_d_d:(((b->(d->d))->(b->(d->d)))->((((b->b)->(b->(d->d)))->((b->b)->(b->(d->d))))->(((b->(d->d))->((b->b)->(b->(d->d))))->((b->(d->d))->((b->b)->(b->(d->d)))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517d88>, <kernel.DependentProduct object at 0x2517e60>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu1569200227_b_d_d:(((b->b)->(a->a))->(((a->(c->c))->(b->(d->d)))->(((a->a)->(a->(c->c)))->((b->b)->(b->(d->d))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517dd0>, <kernel.DependentProduct object at 0x2517f38>) of role type named sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fu683206690_b_d_d:(((b->b)->(b->b))->(((b->(d->d))->(b->(d->d)))->(((b->b)->(b->(d->d)))->((b->b)->(b->(d->d))))))
% 0.79/0.93 FOF formula (<kernel.Constant object at 0x2517ea8>, <kernel.DependentProduct object at 0x2517f38>) of role type named sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.93 Using role type
% 0.79/0.93 Declaring map_fun_a_c_c_a_c_c:((a->(c->c))->((a->(c->c))->(((c->c)->a)->(a->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517a28>, <kernel.DependentProduct object at 0x2517d88>) of role type named sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_c_c_a_a:((a->(c->c))->((a->a)->(((c->c)->a)->(a->a))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517e18>, <kernel.DependentProduct object at 0x2517f38>) of role type named sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_c_c_b_d_d:((a->(c->c))->((b->(d->d))->(((c->c)->b)->(a->(d->d)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517dd0>, <kernel.DependentProduct object at 0x251b290>) of role type named sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_c_c_b_b:((a->(c->c))->((b->b)->(((c->c)->b)->(a->b))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517ea8>, <kernel.DependentProduct object at 0x251b200>) of role type named sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c_001tf__c
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_c_c_c_c:((a->(c->c))->((c->c)->(((c->c)->c)->(a->c))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517e18>, <kernel.DependentProduct object at 0x251b200>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_a_c_c_c_c:((a->a)->(((c->c)->(c->c))->((a->(c->c))->(a->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517dd0>, <kernel.DependentProduct object at 0x251b248>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_a_a_c_c:((a->a)->((a->(c->c))->((a->a)->(a->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517e18>, <kernel.DependentProduct object at 0x251b368>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001tf__a
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_a_a_a:((a->a)->((a->a)->((a->a)->(a->a))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517ea8>, <kernel.DependentProduct object at 0x251b320>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_a_b_d_d:((a->a)->((b->(d->d))->((a->b)->(a->(d->d)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517e18>, <kernel.DependentProduct object at 0x251b320>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_b_d_d_c_c:((a->b)->(((d->d)->(c->c))->((b->(d->d))->(a->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x2517e18>, <kernel.DependentProduct object at 0x251b2d8>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__b_001tf__b_001tf__a
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_b_b_a:((a->b)->((b->a)->((b->b)->(a->a))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x251b128>, <kernel.DependentProduct object at 0x251b3f8>) of role type named sy_c_Fun_Omap__fun_001tf__a_001tf__c_001tf__c_001_062_Itf__c_Mtf__c_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_a_c_c_c_c2:((a->c)->((c->(c->c))->((c->c)->(a->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x251b488>, <kernel.DependentProduct object at 0x251b2d8>) of role type named sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_b_d_d_a_c_c:((b->(d->d))->((a->(c->c))->(((d->d)->a)->(b->(c->c)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x251b050>, <kernel.DependentProduct object at 0x251b128>) of role type named sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__a
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_b_d_d_a_a:((b->(d->d))->((a->a)->(((d->d)->a)->(b->a))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x251b170>, <kernel.DependentProduct object at 0x251b518>) of role type named sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.94 Using role type
% 0.79/0.94 Declaring map_fun_b_d_d_b_d_d:((b->(d->d))->((b->(d->d))->(((d->d)->b)->(b->(d->d)))))
% 0.79/0.94 FOF formula (<kernel.Constant object at 0x251b4d0>, <kernel.DependentProduct object at 0x251b050>) of role type named sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_d_d_b_b:((b->(d->d))->((b->b)->(((d->d)->b)->(b->b))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b1b8>, <kernel.DependentProduct object at 0x251b170>) of role type named sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_d_d_d_d:((b->(d->d))->((d->d)->(((d->d)->d)->(b->d))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b320>, <kernel.DependentProduct object at 0x251b170>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_a_c_c_d_d:((b->a)->(((c->c)->(d->d))->((a->(c->c))->(b->(d->d)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b488>, <kernel.DependentProduct object at 0x251b638>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__a_001tf__a_001tf__b
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_a_a_b:((b->a)->((a->b)->((a->a)->(b->b))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b2d8>, <kernel.DependentProduct object at 0x251b638>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_b_d_d_d_d:((b->b)->(((d->d)->(d->d))->((b->(d->d))->(b->(d->d)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b050>, <kernel.DependentProduct object at 0x251b710>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_b_a_c_c:((b->b)->((a->(c->c))->((b->a)->(b->(c->c)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b4d0>, <kernel.DependentProduct object at 0x251b6c8>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_b_b_d_d:((b->b)->((b->(d->d))->((b->b)->(b->(d->d)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b518>, <kernel.DependentProduct object at 0x251b128>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001tf__b
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_b_b_b:((b->b)->((b->b)->((b->b)->(b->b))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b7a0>, <kernel.DependentProduct object at 0x251b200>) of role type named sy_c_Fun_Omap__fun_001tf__b_001tf__d_001tf__d_001_062_Itf__d_Mtf__d_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_b_d_d_d_d2:((b->d)->((d->(d->d))->((d->d)->(b->(d->d)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b7e8>, <kernel.DependentProduct object at 0x251b170>) of role type named sy_c_Fun_Omap__fun_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_c_a_c_c_c:((c->a)->(((c->c)->c)->((a->(c->c))->(c->c))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b320>, <kernel.DependentProduct object at 0x251b200>) of role type named sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_c_c_a_c_c:((c->c)->((a->(c->c))->((c->a)->(c->(c->c)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b5f0>, <kernel.DependentProduct object at 0x251b6c8>) of role type named sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__c_001tf__c
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_c_c_c_c:((c->c)->((c->c)->((c->c)->(c->c))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b878>, <kernel.DependentProduct object at 0x251b8c0>) of role type named sy_c_Fun_Omap__fun_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_d_b_d_d_d:((d->b)->(((d->d)->d)->((b->(d->d))->(d->d))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b830>, <kernel.DependentProduct object at 0x251b6c8>) of role type named sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_d_d_b_d_d:((d->d)->((b->(d->d))->((d->b)->(d->(d->d)))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b4d0>, <kernel.DependentProduct object at 0x251b998>) of role type named sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__d_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring map_fun_d_d_d_d:((d->d)->((d->d)->((d->d)->(d->d))))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b2d8>, <kernel.DependentProduct object at 0x251b5f0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__a_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring plus_plus_multiset_a:(multiset_a->(multiset_a->multiset_a))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b908>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__b_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring plus_plus_multiset_b:(multiset_b->(multiset_b->multiset_b))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b998>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_If_001tf__a
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring if_a:(Prop->(a->(a->a)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b2d8>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_If_001tf__b
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring if_b:(Prop->(b->(b->b)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b908>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_If_001tf__c
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring if_c:(Prop->(c->(c->c)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b998>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_If_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring if_d:(Prop->(d->(d->d)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b2d8>, <kernel.DependentProduct object at 0x251bab8>) of role type named sy_c_Multiset_Ofold__mset_001tf__a_001tf__c
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring fold_mset_a_c:((a->(c->c))->(c->(multiset_a->c)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b4d0>, <kernel.DependentProduct object at 0x251b5f0>) of role type named sy_c_Multiset_Ofold__mset_001tf__b_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring fold_mset_b_d:((b->(d->d))->(d->(multiset_b->d)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251ba70>, <kernel.DependentProduct object at 0x251bb00>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring ord_le469275661_d_d_o:(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->Prop))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251ba28>, <kernel.DependentProduct object at 0x251bc20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring ord_le1338099484_d_d_o:(((c->c)->((d->d)->Prop))->(((c->c)->((d->d)->Prop))->Prop))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b9e0>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring ord_less_eq_a_b_o:((a->(b->Prop))->((a->(b->Prop))->Prop))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251bb00>, <kernel.DependentProduct object at 0x251bc20>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__c_M_062_Itf__d_M_Eo_J_J
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring ord_less_eq_c_d_o:((c->(d->Prop))->((c->(d->Prop))->Prop))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b4d0>, <kernel.DependentProduct object at 0x251b7e8>) of role type named sy_c_Partial__Function_Ofun__ord_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring partia186872226_c_c_a:(((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251bab8>, <kernel.DependentProduct object at 0x251b9e0>) of role type named sy_c_Partial__Function_Ofun__ord_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring partia1709452835_d_d_b:(((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251bc20>, <kernel.DependentProduct object at 0x251bcb0>) of role type named sy_c_Partial__Function_Ofun__ord_001tf__c_001tf__c_001tf__c
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring partia1494029680_c_c_c:((c->(c->Prop))->((c->c)->((c->c)->Prop)))
% 0.79/0.95 FOF formula (<kernel.Constant object at 0x251b7e8>, <kernel.DependentProduct object at 0x251b9e0>) of role type named sy_c_Partial__Function_Ofun__ord_001tf__d_001tf__d_001tf__d
% 0.79/0.95 Using role type
% 0.79/0.95 Declaring partia1041982257_d_d_d:((d->(d->Prop))->((d->d)->((d->d)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bcf8>, <kernel.DependentProduct object at 0x251bb00>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_c_c_c_c:(((c->c)->((c->c)->Prop))->(((c->c)->(c->c))->(((c->c)->(c->c))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251bc20>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_c_c_d_d:(((c->c)->((c->c)->Prop))->(((c->c)->(d->d))->(((d->d)->(c->c))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bcb0>, <kernel.DependentProduct object at 0x251bdd0>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001tf__a
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_c_c_a:(((c->c)->((c->c)->Prop))->(((c->c)->a)->((a->(c->c))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bd40>, <kernel.DependentProduct object at 0x251be18>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_d_d_c_c:(((d->d)->((d->d)->Prop))->(((d->d)->(c->c))->(((c->c)->(d->d))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bc20>, <kernel.DependentProduct object at 0x251bc68>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_d_d_d_d:(((d->d)->((d->d)->Prop))->(((d->d)->(d->d))->(((d->d)->(d->d))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bb48>, <kernel.DependentProduct object at 0x251bf38>) of role type named sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001tf__b
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_d_d_b:(((d->d)->((d->d)->Prop))->(((d->d)->b)->((b->(d->d))->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251b7e8>, <kernel.DependentProduct object at 0x251bcf8>) of role type named sy_c_Quotient_OQuotient3_001tf__a_001_062_Itf__c_Mtf__c_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_a_c_c:((a->(a->Prop))->((a->(c->c))->(((c->c)->a)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251bf38>) of role type named sy_c_Quotient_OQuotient3_001tf__a_001tf__a
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_a_a:((a->(a->Prop))->((a->a)->((a->a)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bc20>, <kernel.DependentProduct object at 0x251bea8>) of role type named sy_c_Quotient_OQuotient3_001tf__a_001tf__b
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_a_b:((a->(a->Prop))->((a->b)->((b->a)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bcb0>, <kernel.DependentProduct object at 0x251bf38>) of role type named sy_c_Quotient_OQuotient3_001tf__b_001_062_Itf__d_Mtf__d_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_b_d_d:((b->(b->Prop))->((b->(d->d))->(((d->d)->b)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bf80>, <kernel.DependentProduct object at 0x251be60>) of role type named sy_c_Quotient_OQuotient3_001tf__b_001tf__a
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_b_a:((b->(b->Prop))->((b->a)->((a->b)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251bcf8>) of role type named sy_c_Quotient_OQuotient3_001tf__b_001tf__b
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring quotient3_b_b:((b->(b->Prop))->((b->b)->((b->b)->Prop)))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bea8>, <kernel.DependentProduct object at 0x251bf80>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring relcom1813708708_b_d_d:(((a->(c->c))->((a->(c->c))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->((a->(c->c))->((b->(d->d))->Prop))))
% 0.79/0.96 FOF formula (<kernel.Constant object at 0x251bfc8>, <kernel.DependentProduct object at 0x251bc68>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.96 Using role type
% 0.79/0.96 Declaring relcom1887247779_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->((a->(c->c))->((b->(d->d))->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bf38>, <kernel.DependentProduct object at 0x251f290>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_c_c_c_c_c_c:(((c->c)->((c->c)->Prop))->(((c->c)->((c->c)->Prop))->((c->c)->((c->c)->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251f2d8>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_c_c_c_c_d_d:(((c->c)->((c->c)->Prop))->(((c->c)->((d->d)->Prop))->((c->c)->((d->d)->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bfc8>, <kernel.DependentProduct object at 0x251f1b8>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_c_c_d_d_d_d:(((c->c)->((d->d)->Prop))->(((d->d)->((d->d)->Prop))->((c->c)->((d->d)->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251f098>) of role type named sy_c_Relation_Orelcompp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_d_d_d_d_d_d:(((d->d)->((d->d)->Prop))->(((d->d)->((d->d)->Prop))->((d->d)->((d->d)->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bf38>, <kernel.DependentProduct object at 0x251f368>) of role type named sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__a
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_a_a_a:((a->(a->Prop))->((a->(a->Prop))->(a->(a->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251f3b0>) of role type named sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__b
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_a_a_b:((a->(a->Prop))->((a->(b->Prop))->(a->(b->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251bc68>, <kernel.DependentProduct object at 0x251f1b8>) of role type named sy_c_Relation_Orelcompp_001tf__a_001tf__b_001tf__b
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_a_b_b:((a->(b->Prop))->((b->(b->Prop))->(a->(b->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f050>, <kernel.DependentProduct object at 0x251f200>) of role type named sy_c_Relation_Orelcompp_001tf__b_001tf__b_001tf__b
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_b_b_b:((b->(b->Prop))->((b->(b->Prop))->(b->(b->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f098>, <kernel.DependentProduct object at 0x251f320>) of role type named sy_c_Relation_Orelcompp_001tf__c_001tf__c_001tf__d
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_c_c_d:((c->(c->Prop))->((c->(d->Prop))->(c->(d->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f368>, <kernel.DependentProduct object at 0x251f3f8>) of role type named sy_c_Relation_Orelcompp_001tf__c_001tf__d_001tf__d
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring relcompp_c_d_d:((c->(d->Prop))->((d->(d->Prop))->(c->(d->Prop))))
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f3b0>, <kernel.DependentProduct object at 0x251f4d0>) of role type named sy_c_Set_OCollect_001tf__a
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring collect_a:((a->Prop)->set_a)
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f050>, <kernel.DependentProduct object at 0x251f488>) of role type named sy_c_Set_OCollect_001tf__b
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring collect_b:((b->Prop)->set_b)
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f440>, <kernel.DependentProduct object at 0x251f170>) of role type named sy_c_Set_OCollect_001tf__c
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring collect_c:((c->Prop)->set_c)
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f320>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_Set_OCollect_001tf__d
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring collect_d:((d->Prop)->set_d)
% 0.79/0.97 FOF formula (<kernel.Constant object at 0x251f098>, <kernel.DependentProduct object at 0x251f440>) of role type named sy_c_Transfer_Obi__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.97 Using role type
% 0.79/0.97 Declaring bi_total_a_c_c_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f368>, <kernel.DependentProduct object at 0x251f440>) of role type named sy_c_Transfer_Obi__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f3b0>, <kernel.DependentProduct object at 0x251f098>) of role type named sy_c_Transfer_Obi__total_001tf__a_001tf__b
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_total_a_b:((a->(b->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f5f0>, <kernel.DependentProduct object at 0x251f368>) of role type named sy_c_Transfer_Obi__total_001tf__c_001tf__d
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_total_c_d:((c->(d->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f560>, <kernel.DependentProduct object at 0x251f3b0>) of role type named sy_c_Transfer_Obi__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_uni844770768_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f128>, <kernel.DependentProduct object at 0x251f3b0>) of role type named sy_c_Transfer_Obi__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x251f560>) of role type named sy_c_Transfer_Obi__unique_001tf__a_001tf__b
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_unique_a_b:((a->(b->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f710>, <kernel.DependentProduct object at 0x251f128>) of role type named sy_c_Transfer_Obi__unique_001tf__c_001tf__d
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring bi_unique_c_d:((c->(d->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f680>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_Transfer_Oleft__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_t1993719015_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f320>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_Transfer_Oleft__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f368>, <kernel.DependentProduct object at 0x251f680>) of role type named sy_c_Transfer_Oleft__total_001tf__a_001tf__b
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_total_a_b:((a->(b->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f830>, <kernel.DependentProduct object at 0x251f320>) of role type named sy_c_Transfer_Oleft__total_001tf__b_001tf__b
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_total_b_b:((b->(b->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f7a0>, <kernel.DependentProduct object at 0x251f368>) of role type named sy_c_Transfer_Oleft__total_001tf__c_001tf__d
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_total_c_d:((c->(d->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f5f0>, <kernel.DependentProduct object at 0x251f830>) of role type named sy_c_Transfer_Oleft__total_001tf__d_001tf__d
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_total_d_d:((d->(d->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oleft__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_u1654071760_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f680>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oleft__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.79/0.98 FOF formula (<kernel.Constant object at 0x251f908>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oleft__unique_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.79/0.98 Using role type
% 0.79/0.98 Declaring left_unique_d_d_d_d:(((d->d)->((d->d)->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f9e0>, <kernel.DependentProduct object at 0x251f680>) of role type named sy_c_Transfer_Oleft__unique_001tf__a_001tf__a
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring left_unique_a_a:((a->(a->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f830>, <kernel.DependentProduct object at 0x251f908>) of role type named sy_c_Transfer_Oleft__unique_001tf__a_001tf__b
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring left_unique_a_b:((a->(b->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f950>, <kernel.DependentProduct object at 0x251f9e0>) of role type named sy_c_Transfer_Oleft__unique_001tf__c_001tf__c
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring left_unique_c_c:((c->(c->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f5f0>, <kernel.DependentProduct object at 0x251f830>) of role type named sy_c_Transfer_Oleft__unique_001tf__c_001tf__d
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring left_unique_c_d:((c->(d->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f7a0>, <kernel.DependentProduct object at 0x251f950>) of role type named sy_c_Transfer_Oleft__unique_001tf__d_001tf__d
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring left_unique_d_d:((d->(d->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f680>, <kernel.DependentProduct object at 0x251f830>) of role type named sy_c_Transfer_Orev__implies
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring rev_implies:(Prop->(Prop->Prop))
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f5f0>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oright__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_386984928_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f950>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oright__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x251f7a0>) of role type named sy_c_Transfer_Oright__total_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_d_d_d_d:(((d->d)->((d->d)->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251fc68>, <kernel.DependentProduct object at 0x251f950>) of role type named sy_c_Transfer_Oright__total_001tf__a_001tf__a
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_a_a:((a->(a->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f830>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_Transfer_Oright__total_001tf__a_001tf__b
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_a_b:((a->(b->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251fbd8>, <kernel.DependentProduct object at 0x251fc68>) of role type named sy_c_Transfer_Oright__total_001tf__c_001tf__c
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_c_c:((c->(c->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f680>, <kernel.DependentProduct object at 0x251f830>) of role type named sy_c_Transfer_Oright__total_001tf__c_001tf__d
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_c_d:((c->(d->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f7a0>, <kernel.DependentProduct object at 0x251fbd8>) of role type named sy_c_Transfer_Oright__total_001tf__d_001tf__d
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_total_d_d:((d->(d->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f950>, <kernel.DependentProduct object at 0x251f680>) of role type named sy_c_Transfer_Oright__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_2142487_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x251f680>) of role type named sy_c_Transfer_Oright__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J
% 0.84/0.98 Using role type
% 0.84/0.98 Declaring right_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop)
% 0.84/0.98 FOF formula (<kernel.Constant object at 0x251fdd0>, <kernel.DependentProduct object at 0x251f950>) of role type named sy_c_Transfer_Oright__unique_001tf__a_001tf__b
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring right_unique_a_b:((a->(b->Prop))->Prop)
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251fea8>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_Transfer_Oright__unique_001tf__b_001tf__b
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring right_unique_b_b:((b->(b->Prop))->Prop)
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251fe18>, <kernel.DependentProduct object at 0x251fdd0>) of role type named sy_c_Transfer_Oright__unique_001tf__c_001tf__d
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring right_unique_c_d:((c->(d->Prop))->Prop)
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f5f0>, <kernel.DependentProduct object at 0x251fea8>) of role type named sy_c_Transfer_Oright__unique_001tf__d_001tf__d
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring right_unique_d_d:((d->(d->Prop))->Prop)
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f680>, <kernel.DependentProduct object at 0x251f518>) of role type named sy_c_member_001tf__a
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring member_a:(a->(set_a->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f950>, <kernel.DependentProduct object at 0x251fdd0>) of role type named sy_c_member_001tf__b
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring member_b:(b->(set_b->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251fea8>, <kernel.DependentProduct object at 0x251fe18>) of role type named sy_c_member_001tf__c
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring member_c:(c->(set_c->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x2526098>) of role type named sy_c_member_001tf__d
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring member_d:(d->(set_d->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251fdd0>, <kernel.DependentProduct object at 0x25260e0>) of role type named sy_v_A
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring a2:(a->(b->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f950>, <kernel.DependentProduct object at 0x2526128>) of role type named sy_v_B
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring b2:(c->(d->Prop))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251f518>, <kernel.DependentProduct object at 0x2526170>) of role type named sy_v_f1
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring f1:(a->(c->c))
% 0.84/0.99 FOF formula (<kernel.Constant object at 0x251fdd0>, <kernel.DependentProduct object at 0x2526200>) of role type named sy_v_f2
% 0.84/0.99 Using role type
% 0.84/0.99 Declaring f2:(b->(d->d))
% 0.84/0.99 FOF formula (finite746615251te_a_c f1) of role axiom named fact_0_assms_I2_J
% 0.84/0.99 A new axiom: (finite746615251te_a_c f1)
% 0.84/0.99 FOF formula (forall (F:(a->(c->c))) (Y:a) (X:a) (Z:c), ((finite746615251te_a_c F)->(((eq c) ((F Y) ((F X) Z))) ((F X) ((F Y) Z))))) of role axiom named fact_1_comp__fun__commute_Ofun__left__comm
% 0.84/0.99 A new axiom: (forall (F:(a->(c->c))) (Y:a) (X:a) (Z:c), ((finite746615251te_a_c F)->(((eq c) ((F Y) ((F X) Z))) ((F X) ((F Y) Z)))))
% 0.84/0.99 FOF formula (forall (F:(b->(d->d))) (Y:b) (X:b) (Z:d), ((finite1574384659te_b_d F)->(((eq d) ((F Y) ((F X) Z))) ((F X) ((F Y) Z))))) of role axiom named fact_2_comp__fun__commute_Ofun__left__comm
% 0.84/0.99 A new axiom: (forall (F:(b->(d->d))) (Y:b) (X:b) (Z:d), ((finite1574384659te_b_d F)->(((eq d) ((F Y) ((F X) Z))) ((F X) ((F Y) Z)))))
% 0.84/0.99 FOF formula (finite1574384659te_b_d f2) of role axiom named fact_3_assms_I3_J
% 0.84/0.99 A new axiom: (finite1574384659te_b_d f2)
% 0.84/0.99 FOF formula ((((bNF_re802603882_c_d_d a2) ((bNF_rel_fun_c_d_c_d b2) b2)) f1) f2) of role axiom named fact_4__C12_C
% 0.84/0.99 A new axiom: ((((bNF_re802603882_c_d_d a2) ((bNF_rel_fun_c_d_c_d b2) b2)) f1) f2)
% 0.84/0.99 FOF formula (forall (F:(a->(c->c))) (G:(a->(c->c))) (H:(c->c)) (W:c) (A:multiset_a), ((finite746615251te_a_c F)->((finite746615251te_a_c G)->((forall (X2:a) (Y2:c), (((eq c) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq c) (H (((fold_mset_a_c G) W) A))) (((fold_mset_a_c F) (H W)) A)))))) of role axiom named fact_5_comp__fun__commute_Ofold__mset__fusion
% 0.84/0.99 A new axiom: (forall (F:(a->(c->c))) (G:(a->(c->c))) (H:(c->c)) (W:c) (A:multiset_a), ((finite746615251te_a_c F)->((finite746615251te_a_c G)->((forall (X2:a) (Y2:c), (((eq c) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq c) (H (((fold_mset_a_c G) W) A))) (((fold_mset_a_c F) (H W)) A))))))
% 0.84/0.99 FOF formula (forall (F:(b->(d->d))) (G:(b->(d->d))) (H:(d->d)) (W:d) (A:multiset_b), ((finite1574384659te_b_d F)->((finite1574384659te_b_d G)->((forall (X2:b) (Y2:d), (((eq d) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq d) (H (((fold_mset_b_d G) W) A))) (((fold_mset_b_d F) (H W)) A)))))) of role axiom named fact_6_comp__fun__commute_Ofold__mset__fusion
% 0.84/1.01 A new axiom: (forall (F:(b->(d->d))) (G:(b->(d->d))) (H:(d->d)) (W:d) (A:multiset_b), ((finite1574384659te_b_d F)->((finite1574384659te_b_d G)->((forall (X2:b) (Y2:d), (((eq d) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq d) (H (((fold_mset_b_d G) W) A))) (((fold_mset_b_d F) (H W)) A))))))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))) (X:a) (S:c) (M:multiset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((fold_mset_a_c F) S) M))) (((fold_mset_a_c F) ((F X) S)) M)))) of role axiom named fact_7_comp__fun__commute_Ofold__mset__fun__left__comm
% 0.84/1.01 A new axiom: (forall (F:(a->(c->c))) (X:a) (S:c) (M:multiset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((fold_mset_a_c F) S) M))) (((fold_mset_a_c F) ((F X) S)) M))))
% 0.84/1.01 FOF formula (forall (F:(b->(d->d))) (X:b) (S:d) (M:multiset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((fold_mset_b_d F) S) M))) (((fold_mset_b_d F) ((F X) S)) M)))) of role axiom named fact_8_comp__fun__commute_Ofold__mset__fun__left__comm
% 0.84/1.01 A new axiom: (forall (F:(b->(d->d))) (X:b) (S:d) (M:multiset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((fold_mset_b_d F) S) M))) (((fold_mset_b_d F) ((F X) S)) M))))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite746615251te_a_c F))) of role axiom named fact_9_comp__fun__idem_Oaxioms_I1_J
% 0.84/1.01 A new axiom: (forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite746615251te_a_c F)))
% 0.84/1.01 FOF formula (forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite1574384659te_b_d F))) of role axiom named fact_10_comp__fun__idem_Oaxioms_I1_J
% 0.84/1.01 A new axiom: (forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite1574384659te_b_d F)))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))) (Z:c) (A:set_a) (X:c) (Y:c), ((finite746615251te_a_c F)->(((((finite1511629768ph_a_c F) Z) A) X)->(((((finite1511629768ph_a_c F) Z) A) Y)->(((eq c) Y) X))))) of role axiom named fact_11_comp__fun__commute_Ofold__graph__determ
% 0.84/1.01 A new axiom: (forall (F:(a->(c->c))) (Z:c) (A:set_a) (X:c) (Y:c), ((finite746615251te_a_c F)->(((((finite1511629768ph_a_c F) Z) A) X)->(((((finite1511629768ph_a_c F) Z) A) Y)->(((eq c) Y) X)))))
% 0.84/1.01 FOF formula (forall (F:(b->(d->d))) (Z:d) (A:set_b) (X:d) (Y:d), ((finite1574384659te_b_d F)->(((((finite191915528ph_b_d F) Z) A) X)->(((((finite191915528ph_b_d F) Z) A) Y)->(((eq d) Y) X))))) of role axiom named fact_12_comp__fun__commute_Ofold__graph__determ
% 0.84/1.01 A new axiom: (forall (F:(b->(d->d))) (Z:d) (A:set_b) (X:d) (Y:d), ((finite1574384659te_b_d F)->(((((finite191915528ph_b_d F) Z) A) X)->(((((finite191915528ph_b_d F) Z) A) Y)->(((eq d) Y) X)))))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))) (X:a) (Z:c) (A:fset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((ffold_a_c F) Z) A))) (((ffold_a_c F) ((F X) Z)) A)))) of role axiom named fact_13_comp__fun__commute_Offold__fun__left__comm
% 0.84/1.01 A new axiom: (forall (F:(a->(c->c))) (X:a) (Z:c) (A:fset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((ffold_a_c F) Z) A))) (((ffold_a_c F) ((F X) Z)) A))))
% 0.84/1.01 FOF formula (forall (F:(b->(d->d))) (X:b) (Z:d) (A:fset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((ffold_b_d F) Z) A))) (((ffold_b_d F) ((F X) Z)) A)))) of role axiom named fact_14_comp__fun__commute_Offold__fun__left__comm
% 0.84/1.01 A new axiom: (forall (F:(b->(d->d))) (X:b) (Z:d) (A:fset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((ffold_b_d F) Z) A))) (((ffold_b_d F) ((F X) Z)) A))))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))) (G:(b->a)), ((finite746615251te_a_c F)->(finite1574384658te_b_c ((comp_a_c_c_b F) G)))) of role axiom named fact_15_comp__fun__commute_Ocomp__comp__fun__commute
% 0.84/1.01 A new axiom: (forall (F:(a->(c->c))) (G:(b->a)), ((finite746615251te_a_c F)->(finite1574384658te_b_c ((comp_a_c_c_b F) G))))
% 0.84/1.01 FOF formula (forall (F:(a->(c->c))) (G:(a->a)), ((finite746615251te_a_c F)->(finite746615251te_a_c ((comp_a_c_c_a F) G)))) of role axiom named fact_16_comp__fun__commute_Ocomp__comp__fun__commute
% 0.84/1.02 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)), ((finite746615251te_a_c F)->(finite746615251te_a_c ((comp_a_c_c_a F) G))))
% 0.84/1.02 FOF formula (forall (F:(b->(d->d))) (G:(b->b)), ((finite1574384659te_b_d F)->(finite1574384659te_b_d ((comp_b_d_d_b F) G)))) of role axiom named fact_17_comp__fun__commute_Ocomp__comp__fun__commute
% 0.84/1.02 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)), ((finite1574384659te_b_d F)->(finite1574384659te_b_d ((comp_b_d_d_b F) G))))
% 0.84/1.02 FOF formula (((eq ((a->(c->c))->Prop)) finite746615251te_a_c) (fun (F2:(a->(c->c)))=> (forall (Y3:a) (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 Y3)) (F2 X3))) ((comp_c_c_c (F2 X3)) (F2 Y3)))))) of role axiom named fact_18_comp__fun__commute__def
% 0.84/1.02 A new axiom: (((eq ((a->(c->c))->Prop)) finite746615251te_a_c) (fun (F2:(a->(c->c)))=> (forall (Y3:a) (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 Y3)) (F2 X3))) ((comp_c_c_c (F2 X3)) (F2 Y3))))))
% 0.84/1.02 FOF formula (((eq ((b->(d->d))->Prop)) finite1574384659te_b_d) (fun (F2:(b->(d->d)))=> (forall (Y3:b) (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 Y3)) (F2 X3))) ((comp_d_d_d (F2 X3)) (F2 Y3)))))) of role axiom named fact_19_comp__fun__commute__def
% 0.84/1.02 A new axiom: (((eq ((b->(d->d))->Prop)) finite1574384659te_b_d) (fun (F2:(b->(d->d)))=> (forall (Y3:b) (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 Y3)) (F2 X3))) ((comp_d_d_d (F2 X3)) (F2 Y3))))))
% 0.84/1.02 FOF formula (forall (F:(a->(c->c))), ((forall (Y2:a) (X2:a), (((eq (c->c)) ((comp_c_c_c (F Y2)) (F X2))) ((comp_c_c_c (F X2)) (F Y2))))->(finite746615251te_a_c F))) of role axiom named fact_20_comp__fun__commute_Ointro
% 0.84/1.02 A new axiom: (forall (F:(a->(c->c))), ((forall (Y2:a) (X2:a), (((eq (c->c)) ((comp_c_c_c (F Y2)) (F X2))) ((comp_c_c_c (F X2)) (F Y2))))->(finite746615251te_a_c F)))
% 0.84/1.02 FOF formula (forall (F:(b->(d->d))), ((forall (Y2:b) (X2:b), (((eq (d->d)) ((comp_d_d_d (F Y2)) (F X2))) ((comp_d_d_d (F X2)) (F Y2))))->(finite1574384659te_b_d F))) of role axiom named fact_21_comp__fun__commute_Ointro
% 0.84/1.02 A new axiom: (forall (F:(b->(d->d))), ((forall (Y2:b) (X2:b), (((eq (d->d)) ((comp_d_d_d (F Y2)) (F X2))) ((comp_d_d_d (F X2)) (F Y2))))->(finite1574384659te_b_d F)))
% 0.84/1.02 FOF formula (forall (F:(a->(c->c))) (Y:a) (X:a), ((finite746615251te_a_c F)->(((eq (c->c)) ((comp_c_c_c (F Y)) (F X))) ((comp_c_c_c (F X)) (F Y))))) of role axiom named fact_22_comp__fun__commute_Ocomp__fun__commute
% 0.84/1.02 A new axiom: (forall (F:(a->(c->c))) (Y:a) (X:a), ((finite746615251te_a_c F)->(((eq (c->c)) ((comp_c_c_c (F Y)) (F X))) ((comp_c_c_c (F X)) (F Y)))))
% 0.84/1.02 FOF formula (forall (F:(b->(d->d))) (Y:b) (X:b), ((finite1574384659te_b_d F)->(((eq (d->d)) ((comp_d_d_d (F Y)) (F X))) ((comp_d_d_d (F X)) (F Y))))) of role axiom named fact_23_comp__fun__commute_Ocomp__fun__commute
% 0.84/1.02 A new axiom: (forall (F:(b->(d->d))) (Y:b) (X:b), ((finite1574384659te_b_d F)->(((eq (d->d)) ((comp_d_d_d (F Y)) (F X))) ((comp_d_d_d (F X)) (F Y)))))
% 0.84/1.02 FOF formula (forall (A:set_b) (B:set_d) (F:(b->(d->d))) (G:(b->(d->d))) (Z:d), ((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite191915528ph_b_d F) Z) A)) (((finite191915528ph_b_d G) Z) A)))))) of role axiom named fact_24_fold__graph__closed__eq
% 0.84/1.02 A new axiom: (forall (A:set_b) (B:set_d) (F:(b->(d->d))) (G:(b->(d->d))) (Z:d), ((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite191915528ph_b_d F) Z) A)) (((finite191915528ph_b_d G) Z) A))))))
% 0.84/1.02 FOF formula (forall (A:set_a) (B:set_c) (F:(a->(c->c))) (G:(a->(c->c))) (Z:c), ((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1511629768ph_a_c F) Z) A)) (((finite1511629768ph_a_c G) Z) A)))))) of role axiom named fact_25_fold__graph__closed__eq
% 0.84/1.02 A new axiom: (forall (A:set_a) (B:set_c) (F:(a->(c->c))) (G:(a->(c->c))) (Z:c), ((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1511629768ph_a_c F) Z) A)) (((finite1511629768ph_a_c G) Z) A))))))
% 0.84/1.04 FOF formula (forall (A:set_a) (B:set_a) (F:(a->(a->a))) (G:(a->(a->a))) (Z:a), ((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1511629766ph_a_a F) Z) A)) (((finite1511629766ph_a_a G) Z) A)))))) of role axiom named fact_26_fold__graph__closed__eq
% 0.84/1.04 A new axiom: (forall (A:set_a) (B:set_a) (F:(a->(a->a))) (G:(a->(a->a))) (Z:a), ((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1511629766ph_a_a F) Z) A)) (((finite1511629766ph_a_a G) Z) A))))))
% 0.84/1.04 FOF formula (forall (A:set_a) (B:set_b) (F:(a->(b->b))) (G:(a->(b->b))) (Z:b), ((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1511629767ph_a_b F) Z) A)) (((finite1511629767ph_a_b G) Z) A)))))) of role axiom named fact_27_fold__graph__closed__eq
% 0.84/1.04 A new axiom: (forall (A:set_a) (B:set_b) (F:(a->(b->b))) (G:(a->(b->b))) (Z:b), ((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1511629767ph_a_b F) Z) A)) (((finite1511629767ph_a_b G) Z) A))))))
% 0.84/1.04 FOF formula (forall (A:set_a) (B:set_d) (F:(a->(d->d))) (G:(a->(d->d))) (Z:d), ((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1511629769ph_a_d F) Z) A)) (((finite1511629769ph_a_d G) Z) A)))))) of role axiom named fact_28_fold__graph__closed__eq
% 0.84/1.04 A new axiom: (forall (A:set_a) (B:set_d) (F:(a->(d->d))) (G:(a->(d->d))) (Z:d), ((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1511629769ph_a_d F) Z) A)) (((finite1511629769ph_a_d G) Z) A))))))
% 0.84/1.04 FOF formula (forall (A:set_c) (B:set_a) (F:(c->(a->a))) (G:(c->(a->a))) (Z:a), ((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1019684932ph_c_a F) Z) A)) (((finite1019684932ph_c_a G) Z) A)))))) of role axiom named fact_29_fold__graph__closed__eq
% 0.84/1.04 A new axiom: (forall (A:set_c) (B:set_a) (F:(c->(a->a))) (G:(c->(a->a))) (Z:a), ((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1019684932ph_c_a F) Z) A)) (((finite1019684932ph_c_a G) Z) A))))))
% 0.84/1.04 FOF formula (forall (A:set_c) (B:set_c) (F:(c->(c->c))) (G:(c->(c->c))) (Z:c), ((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1019684934ph_c_c F) Z) A)) (((finite1019684934ph_c_c G) Z) A)))))) of role axiom named fact_30_fold__graph__closed__eq
% 0.91/1.05 A new axiom: (forall (A:set_c) (B:set_c) (F:(c->(c->c))) (G:(c->(c->c))) (Z:c), ((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1019684934ph_c_c F) Z) A)) (((finite1019684934ph_c_c G) Z) A))))))
% 0.91/1.05 FOF formula (forall (A:set_c) (B:set_b) (F:(c->(b->b))) (G:(c->(b->b))) (Z:b), ((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1019684933ph_c_b F) Z) A)) (((finite1019684933ph_c_b G) Z) A)))))) of role axiom named fact_31_fold__graph__closed__eq
% 0.91/1.05 A new axiom: (forall (A:set_c) (B:set_b) (F:(c->(b->b))) (G:(c->(b->b))) (Z:b), ((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1019684933ph_c_b F) Z) A)) (((finite1019684933ph_c_b G) Z) A))))))
% 0.91/1.05 FOF formula (forall (A:set_c) (B:set_d) (F:(c->(d->d))) (G:(c->(d->d))) (Z:d), ((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1019684935ph_c_d F) Z) A)) (((finite1019684935ph_c_d G) Z) A)))))) of role axiom named fact_32_fold__graph__closed__eq
% 0.91/1.05 A new axiom: (forall (A:set_c) (B:set_d) (F:(c->(d->d))) (G:(c->(d->d))) (Z:d), ((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1019684935ph_c_d F) Z) A)) (((finite1019684935ph_c_d G) Z) A))))))
% 0.91/1.05 FOF formula (forall (A:set_b) (B:set_a) (F:(b->(a->a))) (G:(b->(a->a))) (Z:a), ((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite191915525ph_b_a F) Z) A)) (((finite191915525ph_b_a G) Z) A)))))) of role axiom named fact_33_fold__graph__closed__eq
% 0.91/1.05 A new axiom: (forall (A:set_b) (B:set_a) (F:(b->(a->a))) (G:(b->(a->a))) (Z:a), ((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite191915525ph_b_a F) Z) A)) (((finite191915525ph_b_a G) Z) A))))))
% 0.91/1.05 FOF formula (forall (G:(b->(d->d))) (Z:d) (A:set_b) (X:d) (B:set_d) (F:(b->(d->d))), (((((finite191915528ph_b_d G) Z) A) X)->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite191915528ph_b_d F) Z) A) X)) ((member_d X) B))))))) of role axiom named fact_34_fold__graph__closed__lemma
% 0.91/1.05 A new axiom: (forall (G:(b->(d->d))) (Z:d) (A:set_b) (X:d) (B:set_d) (F:(b->(d->d))), (((((finite191915528ph_b_d G) Z) A) X)->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite191915528ph_b_d F) Z) A) X)) ((member_d X) B)))))))
% 0.91/1.05 FOF formula (forall (G:(a->(c->c))) (Z:c) (A:set_a) (X:c) (B:set_c) (F:(a->(c->c))), (((((finite1511629768ph_a_c G) Z) A) X)->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1511629768ph_a_c F) Z) A) X)) ((member_c X) B))))))) of role axiom named fact_35_fold__graph__closed__lemma
% 0.91/1.07 A new axiom: (forall (G:(a->(c->c))) (Z:c) (A:set_a) (X:c) (B:set_c) (F:(a->(c->c))), (((((finite1511629768ph_a_c G) Z) A) X)->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1511629768ph_a_c F) Z) A) X)) ((member_c X) B)))))))
% 0.91/1.07 FOF formula (forall (G:(a->(a->a))) (Z:a) (A:set_a) (X:a) (B:set_a) (F:(a->(a->a))), (((((finite1511629766ph_a_a G) Z) A) X)->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1511629766ph_a_a F) Z) A) X)) ((member_a X) B))))))) of role axiom named fact_36_fold__graph__closed__lemma
% 0.91/1.07 A new axiom: (forall (G:(a->(a->a))) (Z:a) (A:set_a) (X:a) (B:set_a) (F:(a->(a->a))), (((((finite1511629766ph_a_a G) Z) A) X)->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1511629766ph_a_a F) Z) A) X)) ((member_a X) B)))))))
% 0.91/1.07 FOF formula (forall (G:(a->(b->b))) (Z:b) (A:set_a) (X:b) (B:set_b) (F:(a->(b->b))), (((((finite1511629767ph_a_b G) Z) A) X)->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1511629767ph_a_b F) Z) A) X)) ((member_b X) B))))))) of role axiom named fact_37_fold__graph__closed__lemma
% 0.91/1.07 A new axiom: (forall (G:(a->(b->b))) (Z:b) (A:set_a) (X:b) (B:set_b) (F:(a->(b->b))), (((((finite1511629767ph_a_b G) Z) A) X)->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1511629767ph_a_b F) Z) A) X)) ((member_b X) B)))))))
% 0.91/1.07 FOF formula (forall (G:(a->(d->d))) (Z:d) (A:set_a) (X:d) (B:set_d) (F:(a->(d->d))), (((((finite1511629769ph_a_d G) Z) A) X)->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1511629769ph_a_d F) Z) A) X)) ((member_d X) B))))))) of role axiom named fact_38_fold__graph__closed__lemma
% 0.91/1.07 A new axiom: (forall (G:(a->(d->d))) (Z:d) (A:set_a) (X:d) (B:set_d) (F:(a->(d->d))), (((((finite1511629769ph_a_d G) Z) A) X)->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1511629769ph_a_d F) Z) A) X)) ((member_d X) B)))))))
% 0.91/1.07 FOF formula (forall (G:(c->(a->a))) (Z:a) (A:set_c) (X:a) (B:set_a) (F:(c->(a->a))), (((((finite1019684932ph_c_a G) Z) A) X)->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1019684932ph_c_a F) Z) A) X)) ((member_a X) B))))))) of role axiom named fact_39_fold__graph__closed__lemma
% 0.91/1.07 A new axiom: (forall (G:(c->(a->a))) (Z:a) (A:set_c) (X:a) (B:set_a) (F:(c->(a->a))), (((((finite1019684932ph_c_a G) Z) A) X)->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1019684932ph_c_a F) Z) A) X)) ((member_a X) B)))))))
% 0.93/1.08 FOF formula (forall (G:(c->(c->c))) (Z:c) (A:set_c) (X:c) (B:set_c) (F:(c->(c->c))), (((((finite1019684934ph_c_c G) Z) A) X)->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1019684934ph_c_c F) Z) A) X)) ((member_c X) B))))))) of role axiom named fact_40_fold__graph__closed__lemma
% 0.93/1.08 A new axiom: (forall (G:(c->(c->c))) (Z:c) (A:set_c) (X:c) (B:set_c) (F:(c->(c->c))), (((((finite1019684934ph_c_c G) Z) A) X)->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1019684934ph_c_c F) Z) A) X)) ((member_c X) B)))))))
% 0.93/1.08 FOF formula (forall (G:(c->(b->b))) (Z:b) (A:set_c) (X:b) (B:set_b) (F:(c->(b->b))), (((((finite1019684933ph_c_b G) Z) A) X)->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1019684933ph_c_b F) Z) A) X)) ((member_b X) B))))))) of role axiom named fact_41_fold__graph__closed__lemma
% 0.93/1.08 A new axiom: (forall (G:(c->(b->b))) (Z:b) (A:set_c) (X:b) (B:set_b) (F:(c->(b->b))), (((((finite1019684933ph_c_b G) Z) A) X)->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1019684933ph_c_b F) Z) A) X)) ((member_b X) B)))))))
% 0.93/1.08 FOF formula (forall (G:(c->(d->d))) (Z:d) (A:set_c) (X:d) (B:set_d) (F:(c->(d->d))), (((((finite1019684935ph_c_d G) Z) A) X)->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1019684935ph_c_d F) Z) A) X)) ((member_d X) B))))))) of role axiom named fact_42_fold__graph__closed__lemma
% 0.93/1.08 A new axiom: (forall (G:(c->(d->d))) (Z:d) (A:set_c) (X:d) (B:set_d) (F:(c->(d->d))), (((((finite1019684935ph_c_d G) Z) A) X)->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1019684935ph_c_d F) Z) A) X)) ((member_d X) B)))))))
% 0.93/1.08 FOF formula (forall (G:(b->(a->a))) (Z:a) (A:set_b) (X:a) (B:set_a) (F:(b->(a->a))), (((((finite191915525ph_b_a G) Z) A) X)->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite191915525ph_b_a F) Z) A) X)) ((member_a X) B))))))) of role axiom named fact_43_fold__graph__closed__lemma
% 0.93/1.08 A new axiom: (forall (G:(b->(a->a))) (Z:a) (A:set_b) (X:a) (B:set_a) (F:(b->(a->a))), (((((finite191915525ph_b_a G) Z) A) X)->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite191915525ph_b_a F) Z) A) X)) ((member_a X) B)))))))
% 0.93/1.08 FOF formula (forall (F:(b->(d->d))) (X:b), ((finite868010766em_b_d F)->(((eq (d->d)) ((comp_d_d_d (F X)) (F X))) (F X)))) of role axiom named fact_44_comp__fun__idem_Ocomp__fun__idem
% 0.93/1.08 A new axiom: (forall (F:(b->(d->d))) (X:b), ((finite868010766em_b_d F)->(((eq (d->d)) ((comp_d_d_d (F X)) (F X))) (F X))))
% 0.93/1.08 FOF formula (forall (F:(a->(c->c))) (X:a), ((finite40241358em_a_c F)->(((eq (c->c)) ((comp_c_c_c (F X)) (F X))) (F X)))) of role axiom named fact_45_comp__fun__idem_Ocomp__fun__idem
% 0.93/1.08 A new axiom: (forall (F:(a->(c->c))) (X:a), ((finite40241358em_a_c F)->(((eq (c->c)) ((comp_c_c_c (F X)) (F X))) (F X))))
% 0.93/1.10 FOF formula (forall (F:(b->(d->d))) (X:b) (Z:d), ((finite868010766em_b_d F)->(((eq d) ((F X) ((F X) Z))) ((F X) Z)))) of role axiom named fact_46_comp__fun__idem_Ofun__left__idem
% 0.93/1.10 A new axiom: (forall (F:(b->(d->d))) (X:b) (Z:d), ((finite868010766em_b_d F)->(((eq d) ((F X) ((F X) Z))) ((F X) Z))))
% 0.93/1.10 FOF formula (forall (F:(a->(c->c))) (X:a) (Z:c), ((finite40241358em_a_c F)->(((eq c) ((F X) ((F X) Z))) ((F X) Z)))) of role axiom named fact_47_comp__fun__idem_Ofun__left__idem
% 0.93/1.10 A new axiom: (forall (F:(a->(c->c))) (X:a) (Z:c), ((finite40241358em_a_c F)->(((eq c) ((F X) ((F X) Z))) ((F X) Z))))
% 0.93/1.10 FOF formula (forall (F:(a->(c->c))) (G:(b->a)), ((finite40241358em_a_c F)->(finite868010765em_b_c ((comp_a_c_c_b F) G)))) of role axiom named fact_48_comp__fun__idem_Ocomp__comp__fun__idem
% 0.93/1.10 A new axiom: (forall (F:(a->(c->c))) (G:(b->a)), ((finite40241358em_a_c F)->(finite868010765em_b_c ((comp_a_c_c_b F) G))))
% 0.93/1.10 FOF formula (forall (F:(b->(d->d))) (G:(b->b)), ((finite868010766em_b_d F)->(finite868010766em_b_d ((comp_b_d_d_b F) G)))) of role axiom named fact_49_comp__fun__idem_Ocomp__comp__fun__idem
% 0.93/1.10 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)), ((finite868010766em_b_d F)->(finite868010766em_b_d ((comp_b_d_d_b F) G))))
% 0.93/1.10 FOF formula (forall (F:(a->(c->c))) (G:(a->a)), ((finite40241358em_a_c F)->(finite40241358em_a_c ((comp_a_c_c_a F) G)))) of role axiom named fact_50_comp__fun__idem_Ocomp__comp__fun__idem
% 0.93/1.10 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)), ((finite40241358em_a_c F)->(finite40241358em_a_c ((comp_a_c_c_a F) G))))
% 0.93/1.10 FOF formula (((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3)))) of role axiom named fact_51_comp__apply
% 0.93/1.10 A new axiom: (((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_52_comp__apply
% 0.93/1.10 A new axiom: (((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_53_comp__apply
% 0.93/1.10 A new axiom: (((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3)))) of role axiom named fact_54_comp__apply
% 0.93/1.10 A new axiom: (((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))) of role axiom named fact_55_comp__apply
% 0.93/1.10 A new axiom: (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_56_comp__apply
% 0.93/1.10 A new axiom: (((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))) of role axiom named fact_57_comp__apply
% 0.93/1.10 A new axiom: (((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3))))
% 0.93/1.10 FOF formula (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_b_a_b A) B) F) G))) of role axiom named fact_58_rel__funI
% 0.93/1.10 A new axiom: (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_b_a_b A) B) F) G)))
% 0.93/1.10 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1979731817_c_d_d A) B) F) G))) of role axiom named fact_59_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1979731817_c_d_d A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1143700905_c_c_c A) B) F) G))) of role axiom named fact_60_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1143700905_c_c_c A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_b A) B) F) G))) of role axiom named fact_61_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_b A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_a A) B) F) G))) of role axiom named fact_62_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_a A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re802603882_c_d_d A) B) F) G))) of role axiom named fact_63_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re802603882_c_d_d A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_c_d_c_d A) B) F) G))) of role axiom named fact_64_rel__funI
% 0.93/1.11 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_c_d_c_d A) B) F) G)))
% 0.93/1.11 FOF formula (forall (A:(a->(b->Prop))), ((((bNF_re588060702_b_b_b (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re569932906_a_b_b A) ((bNF_rel_fun_a_b_a_b A) A))) if_a) if_b)) of role axiom named fact_65_If__transfer
% 0.93/1.11 A new axiom: (forall (A:(a->(b->Prop))), ((((bNF_re588060702_b_b_b (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re569932906_a_b_b A) ((bNF_rel_fun_a_b_a_b A) A))) if_a) if_b))
% 0.93/1.11 FOF formula (forall (A:(a->(a->Prop))), ((((bNF_re1705765981_a_a_a (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re911029929_a_a_a A) ((bNF_rel_fun_a_a_a_a A) A))) if_a) if_a)) of role axiom named fact_66_If__transfer
% 0.93/1.11 A new axiom: (forall (A:(a->(a->Prop))), ((((bNF_re1705765981_a_a_a (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re911029929_a_a_a A) ((bNF_rel_fun_a_a_a_a A) A))) if_a) if_a))
% 0.93/1.11 FOF formula (forall (A:(c->(d->Prop))), ((((bNF_re647211934_d_d_d (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re1972258794_c_d_d A) ((bNF_rel_fun_c_d_c_d A) A))) if_c) if_d)) of role axiom named fact_67_If__transfer
% 0.93/1.11 A new axiom: (forall (A:(c->(d->Prop))), ((((bNF_re647211934_d_d_d (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re1972258794_c_d_d A) ((bNF_rel_fun_c_d_c_d A) A))) if_c) if_d))
% 0.93/1.11 FOF formula (forall (R:(a->(a->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), (((eq Prop) ((((bNF_re1979731817_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3)))))) of role axiom named fact_68_rel__fun__def__butlast
% 0.93/1.11 A new axiom: (forall (R:(a->(a->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), (((eq Prop) ((((bNF_re1979731817_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3))))))
% 0.93/1.12 FOF formula (forall (R:(a->(a->Prop))) (S2:(c->(c->Prop))) (T:(c->(c->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), (((eq Prop) ((((bNF_re1143700905_c_c_c R) ((bNF_rel_fun_c_c_c_c S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_c_c_c S2) T) (F X3)) (G Y3)))))) of role axiom named fact_69_rel__fun__def__butlast
% 0.93/1.12 A new axiom: (forall (R:(a->(a->Prop))) (S2:(c->(c->Prop))) (T:(c->(c->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), (((eq Prop) ((((bNF_re1143700905_c_c_c R) ((bNF_rel_fun_c_c_c_c S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_c_c_c S2) T) (F X3)) (G Y3))))))
% 0.93/1.12 FOF formula (forall (R:(a->(b->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), (((eq Prop) ((((bNF_re802603882_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:b), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3)))))) of role axiom named fact_70_rel__fun__def__butlast
% 0.93/1.12 A new axiom: (forall (R:(a->(b->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), (((eq Prop) ((((bNF_re802603882_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:b), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3))))))
% 0.93/1.12 FOF formula (forall (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d (fun (Y4:(b->(d->d))) (Z2:(b->(d->d)))=> (((eq (b->(d->d))) Y4) Z2))) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1844863849_d_d_d R1) (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))))) comp_b_d_d_b) comp_b_d_d_b)) of role axiom named fact_71_o__rsp_I2_J
% 0.93/1.12 A new axiom: (forall (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d (fun (Y4:(b->(d->d))) (Z2:(b->(d->d)))=> (((eq (b->(d->d))) Y4) Z2))) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1844863849_d_d_d R1) (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))))) comp_b_d_d_b) comp_b_d_d_b))
% 0.93/1.12 FOF formula (forall (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1143700905_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_a)) of role axiom named fact_72_o__rsp_I2_J
% 0.93/1.12 A new axiom: (forall (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1143700905_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_a))
% 0.93/1.12 FOF formula (forall (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_b)) of role axiom named fact_73_o__rsp_I2_J
% 0.93/1.12 A new axiom: (forall (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_b))
% 0.93/1.12 FOF formula (forall (R1:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_a) comp_a_a_a)) of role axiom named fact_74_o__rsp_I2_J
% 0.93/1.12 A new axiom: (forall (R1:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_a) comp_a_a_a))
% 0.98/1.13 FOF formula (forall (R1:(a->(b->Prop))), ((((bNF_re1311853791_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1665173865_b_c_c ((bNF_rel_fun_a_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re2114056618_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_b)) of role axiom named fact_75_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:(a->(b->Prop))), ((((bNF_re1311853791_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1665173865_b_c_c ((bNF_rel_fun_a_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re2114056618_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_b))
% 0.98/1.13 FOF formula (forall (R1:((d->d)->(b->Prop))), ((((bNF_re1138812345_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re323253981_b_b_b ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_d_d) comp_b_b_b)) of role axiom named fact_76_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:((d->d)->(b->Prop))), ((((bNF_re1138812345_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re323253981_b_b_b ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_d_d) comp_b_b_b))
% 0.98/1.13 FOF formula (forall (R1:(b->((d->d)->Prop))), ((((bNF_re961930425_d_d_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re1794062813_d_d_b ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_d_d)) of role axiom named fact_77_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:(b->((d->d)->Prop))), ((((bNF_re961930425_d_d_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re1794062813_d_d_b ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_d_d))
% 0.98/1.13 FOF formula (forall (R1:(b->(a->Prop))), ((((bNF_re978949211_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1591514407_a_c_c ((bNF_rel_fun_b_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re758172648_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_a)) of role axiom named fact_78_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:(b->(a->Prop))), ((((bNF_re978949211_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1591514407_a_c_c ((bNF_rel_fun_b_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re758172648_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_a))
% 0.98/1.13 FOF formula (forall (R1:(b->(b->Prop))), ((((bNF_re1409962461_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1565463783_b_c_c ((bNF_rel_fun_b_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1728528361_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_b)) of role axiom named fact_79_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:(b->(b->Prop))), ((((bNF_re1409962461_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1565463783_b_c_c ((bNF_rel_fun_b_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1728528361_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_b))
% 0.98/1.13 FOF formula (forall (R1:((c->c)->(a->Prop))), ((((bNF_re1503602041_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1177671453_a_a_a ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_c_c) comp_a_a_a)) of role axiom named fact_80_o__rsp_I2_J
% 0.98/1.13 A new axiom: (forall (R1:((c->c)->(a->Prop))), ((((bNF_re1503602041_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1177671453_a_a_a ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_c_c) comp_a_a_a))
% 0.98/1.14 FOF formula (forall (R2:(c->(d->Prop))) (R3:(c->(d->Prop))) (R1:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d R2) R3)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d R1) R2)) ((bNF_rel_fun_c_d_c_d R1) R3))) comp_c_c_c) comp_d_d_d)) of role axiom named fact_81_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(c->(d->Prop))) (R3:(c->(d->Prop))) (R1:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d R2) R3)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d R1) R2)) ((bNF_rel_fun_c_d_c_d R1) R3))) comp_c_c_c) comp_d_d_d))
% 0.98/1.14 FOF formula (forall (R2:(b->(b->Prop))) (R3:((d->d)->((d->d)->Prop))) (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d R2) R3)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_re1844863849_d_d_d R1) R3))) comp_b_d_d_b) comp_b_d_d_b)) of role axiom named fact_82_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(b->(b->Prop))) (R3:((d->d)->((d->d)->Prop))) (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d R2) R3)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_re1844863849_d_d_d R1) R3))) comp_b_d_d_b) comp_b_d_d_b))
% 0.98/1.14 FOF formula (forall (R2:(b->(a->Prop))) (R3:((d->d)->((c->c)->Prop))) (R1:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c R2) R3)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_re38477224_d_c_c R1) R3))) comp_b_d_d_b) comp_a_c_c_a)) of role axiom named fact_83_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(b->(a->Prop))) (R3:((d->d)->((c->c)->Prop))) (R1:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c R2) R3)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_re38477224_d_c_c R1) R3))) comp_b_d_d_b) comp_a_c_c_a))
% 0.98/1.14 FOF formula (forall (R2:(a->(a->Prop))) (R3:((c->c)->((c->c)->Prop))) (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c R2) R3)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) R2)) ((bNF_re1143700905_c_c_c R1) R3))) comp_a_c_c_a) comp_a_c_c_a)) of role axiom named fact_84_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(a->(a->Prop))) (R3:((c->c)->((c->c)->Prop))) (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c R2) R3)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) R2)) ((bNF_re1143700905_c_c_c R1) R3))) comp_a_c_c_a) comp_a_c_c_a))
% 0.98/1.14 FOF formula (forall (R2:(a->(b->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d R2) R3)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_a_c_c_a) comp_b_d_d_b)) of role axiom named fact_85_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(a->(b->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d R2) R3)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_a_c_c_a) comp_b_d_d_b))
% 0.98/1.14 FOF formula (forall (R2:((c->c)->((d->d)->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d R2) R3)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_c_c_c_c_a) comp_d_d_d_d_b)) of role axiom named fact_86_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:((c->c)->((d->d)->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d R2) R3)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_c_c_c_c_a) comp_d_d_d_d_b))
% 0.98/1.14 FOF formula (forall (R2:(b->(b->Prop))) (R3:(b->(b->Prop))) (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b R2) R3)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_rel_fun_b_b_b_b R1) R3))) comp_b_b_b) comp_b_b_b)) of role axiom named fact_87_o__rsp_I1_J
% 0.98/1.14 A new axiom: (forall (R2:(b->(b->Prop))) (R3:(b->(b->Prop))) (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b R2) R3)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_rel_fun_b_b_b_b R1) R3))) comp_b_b_b) comp_b_b_b))
% 0.98/1.15 FOF formula (forall (R2:(b->(a->Prop))) (R3:(b->(a->Prop))) (R1:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a R2) R3)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_rel_fun_b_a_b_a R1) R3))) comp_b_b_b) comp_a_a_a)) of role axiom named fact_88_o__rsp_I1_J
% 0.98/1.15 A new axiom: (forall (R2:(b->(a->Prop))) (R3:(b->(a->Prop))) (R1:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a R2) R3)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_rel_fun_b_a_b_a R1) R3))) comp_b_b_b) comp_a_a_a))
% 0.98/1.15 FOF formula (forall (R2:(a->(b->Prop))) (R3:(a->(a->Prop))) (R1:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a R2) R3)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b R1) R2)) ((bNF_rel_fun_a_a_a_a R1) R3))) comp_a_a_a) comp_b_a_a)) of role axiom named fact_89_o__rsp_I1_J
% 0.98/1.15 A new axiom: (forall (R2:(a->(b->Prop))) (R3:(a->(a->Prop))) (R1:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a R2) R3)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b R1) R2)) ((bNF_rel_fun_a_a_a_a R1) R3))) comp_a_a_a) comp_b_a_a))
% 0.98/1.15 FOF formula (forall (R2:(a->(b->Prop))) (R3:(a->(b->Prop))) (R1:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b R2) R3)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_rel_fun_a_b_a_b R1) R3))) comp_a_a_a) comp_b_b_b)) of role axiom named fact_90_o__rsp_I1_J
% 0.98/1.15 A new axiom: (forall (R2:(a->(b->Prop))) (R3:(a->(b->Prop))) (R1:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b R2) R3)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_rel_fun_a_b_a_b R1) R3))) comp_a_a_a) comp_b_b_b))
% 0.98/1.15 FOF formula (forall (Rb:(b->(b->Prop))) (Sd:((d->d)->((d->d)->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d Rb) Sd)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re1844863849_d_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_d_d_b) comp_b_d_d_b)) of role axiom named fact_91_fun_Omap__transfer
% 0.98/1.15 A new axiom: (forall (Rb:(b->(b->Prop))) (Sd:((d->d)->((d->d)->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d Rb) Sd)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re1844863849_d_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_d_d_b) comp_b_d_d_b))
% 0.98/1.15 FOF formula (forall (Rb:(a->(a->Prop))) (Sd:((c->c)->((c->c)->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c Rb) Sd)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_a_c_c_a)) of role axiom named fact_92_fun_Omap__transfer
% 0.98/1.15 A new axiom: (forall (Rb:(a->(a->Prop))) (Sd:((c->c)->((c->c)->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c Rb) Sd)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_a_c_c_a))
% 0.98/1.15 FOF formula (forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re1160226589_b_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1661760168_b_d_d ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re417075625_c_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_c_c_b) comp_b_d_d_b)) of role axiom named fact_93_fun_Omap__transfer
% 0.98/1.15 A new axiom: (forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re1160226589_b_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1661760168_b_d_d ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re417075625_c_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_c_c_b) comp_b_d_d_b))
% 0.98/1.15 FOF formula (forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re631104669_a_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1787520874_a_d_d ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_b_d_d_a)) of role axiom named fact_94_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re631104669_a_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1787520874_a_d_d ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_b_d_d_a))
% 1.01/1.16 FOF formula (forall (Rb:(b->(b->Prop))) (Sd:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b Rb) Sd)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_b_b) comp_b_b_b)) of role axiom named fact_95_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(b->(b->Prop))) (Sd:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b Rb) Sd)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_b_b) comp_b_b_b))
% 1.01/1.16 FOF formula (forall (Rb:(a->(b->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a Rb) Sd)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_a_a)) of role axiom named fact_96_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(b->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a Rb) Sd)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_a_a))
% 1.01/1.16 FOF formula (forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re774352699_b_b_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re668686835_a_b_b ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_a_b) comp_b_b_b)) of role axiom named fact_97_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re774352699_b_b_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re668686835_a_b_b ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_a_b) comp_b_b_b))
% 1.01/1.16 FOF formula (forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re796114495_b_a_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re865643767_a_a_b ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_b_a)) of role axiom named fact_98_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re796114495_b_a_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re865643767_a_a_b ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_b_a))
% 1.01/1.16 FOF formula (forall (Rb:(a->(a->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re1514436479_a_a_b ((bNF_rel_fun_a_a_a_b Rb) Sd)) ((bNF_re1698572662_a_a_b ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_b_a)) of role axiom named fact_99_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(a->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re1514436479_a_a_b ((bNF_rel_fun_a_a_a_b Rb) Sd)) ((bNF_re1698572662_a_a_b ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_b_a))
% 1.01/1.16 FOF formula (forall (Rb:(a->(a->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a ((bNF_rel_fun_a_a_a_a Rb) Sd)) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_a_a)) of role axiom named fact_100_fun_Omap__transfer
% 1.01/1.16 A new axiom: (forall (Rb:(a->(a->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a ((bNF_rel_fun_a_a_a_a Rb) Sd)) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_a_a))
% 1.01/1.17 FOF formula (forall (B:(c->(d->Prop))) (C:(c->(d->Prop))) (A:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d A) C))) comp_c_c_c) comp_d_d_d)) of role axiom named fact_101_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(c->(d->Prop))) (C:(c->(d->Prop))) (A:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d A) C))) comp_c_c_c) comp_d_d_d))
% 1.01/1.17 FOF formula (forall (B:(b->(b->Prop))) (C:((d->d)->((d->d)->Prop))) (A:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d B) C)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_re1844863849_d_d_d A) C))) comp_b_d_d_b) comp_b_d_d_b)) of role axiom named fact_102_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(b->(b->Prop))) (C:((d->d)->((d->d)->Prop))) (A:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d B) C)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_re1844863849_d_d_d A) C))) comp_b_d_d_b) comp_b_d_d_b))
% 1.01/1.17 FOF formula (forall (B:(b->(a->Prop))) (C:((d->d)->((c->c)->Prop))) (A:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c B) C)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_re38477224_d_c_c A) C))) comp_b_d_d_b) comp_a_c_c_a)) of role axiom named fact_103_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(b->(a->Prop))) (C:((d->d)->((c->c)->Prop))) (A:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c B) C)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_re38477224_d_c_c A) C))) comp_b_d_d_b) comp_a_c_c_a))
% 1.01/1.17 FOF formula (forall (B:(a->(a->Prop))) (C:((c->c)->((c->c)->Prop))) (A:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c B) C)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a A) B)) ((bNF_re1143700905_c_c_c A) C))) comp_a_c_c_a) comp_a_c_c_a)) of role axiom named fact_104_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(a->(a->Prop))) (C:((c->c)->((c->c)->Prop))) (A:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c B) C)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a A) B)) ((bNF_re1143700905_c_c_c A) C))) comp_a_c_c_a) comp_a_c_c_a))
% 1.01/1.17 FOF formula (forall (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re802603882_c_d_d A) C))) comp_a_c_c_a) comp_b_d_d_b)) of role axiom named fact_105_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re802603882_c_d_d A) C))) comp_a_c_c_a) comp_b_d_d_b))
% 1.01/1.17 FOF formula (forall (B:((c->c)->((d->d)->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d B) C)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d A) C))) comp_c_c_c_c_a) comp_d_d_d_d_b)) of role axiom named fact_106_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:((c->c)->((d->d)->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d B) C)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d A) C))) comp_c_c_c_c_a) comp_d_d_d_d_b))
% 1.01/1.17 FOF formula (forall (B:(b->(b->Prop))) (C:(b->(b->Prop))) (A:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b B) C)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_rel_fun_b_b_b_b A) C))) comp_b_b_b) comp_b_b_b)) of role axiom named fact_107_comp__transfer
% 1.01/1.17 A new axiom: (forall (B:(b->(b->Prop))) (C:(b->(b->Prop))) (A:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b B) C)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_rel_fun_b_b_b_b A) C))) comp_b_b_b) comp_b_b_b))
% 1.01/1.18 FOF formula (forall (B:(b->(a->Prop))) (C:(b->(a->Prop))) (A:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a B) C)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_rel_fun_b_a_b_a A) C))) comp_b_b_b) comp_a_a_a)) of role axiom named fact_108_comp__transfer
% 1.01/1.18 A new axiom: (forall (B:(b->(a->Prop))) (C:(b->(a->Prop))) (A:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a B) C)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_rel_fun_b_a_b_a A) C))) comp_b_b_b) comp_a_a_a))
% 1.01/1.18 FOF formula (forall (B:(a->(b->Prop))) (C:(a->(a->Prop))) (A:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a B) C)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b A) B)) ((bNF_rel_fun_a_a_a_a A) C))) comp_a_a_a) comp_b_a_a)) of role axiom named fact_109_comp__transfer
% 1.01/1.18 A new axiom: (forall (B:(a->(b->Prop))) (C:(a->(a->Prop))) (A:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a B) C)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b A) B)) ((bNF_rel_fun_a_a_a_a A) C))) comp_a_a_a) comp_b_a_a))
% 1.01/1.18 FOF formula (forall (B:(a->(b->Prop))) (C:(a->(b->Prop))) (A:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b B) C)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_rel_fun_a_b_a_b A) C))) comp_a_a_a) comp_b_b_b)) of role axiom named fact_110_comp__transfer
% 1.01/1.18 A new axiom: (forall (B:(a->(b->Prop))) (C:(a->(b->Prop))) (A:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b B) C)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_rel_fun_a_b_a_b A) C))) comp_a_a_a) comp_b_b_b))
% 1.01/1.18 FOF formula (forall (F:(a->(c->c))), ((finite746615251te_a_c F)->((finite19304177ms_a_c F)->(finite40241358em_a_c F)))) of role axiom named fact_111_comp__fun__idem_Ointro
% 1.01/1.18 A new axiom: (forall (F:(a->(c->c))), ((finite746615251te_a_c F)->((finite19304177ms_a_c F)->(finite40241358em_a_c F))))
% 1.01/1.18 FOF formula (forall (F:(b->(d->d))), ((finite1574384659te_b_d F)->((finite847073585ms_b_d F)->(finite868010766em_b_d F)))) of role axiom named fact_112_comp__fun__idem_Ointro
% 1.01/1.18 A new axiom: (forall (F:(b->(d->d))), ((finite1574384659te_b_d F)->((finite847073585ms_b_d F)->(finite868010766em_b_d F))))
% 1.01/1.18 FOF formula (((eq ((a->(c->c))->Prop)) finite40241358em_a_c) (fun (F2:(a->(c->c)))=> ((and (finite746615251te_a_c F2)) (finite19304177ms_a_c F2)))) of role axiom named fact_113_comp__fun__idem__def
% 1.01/1.18 A new axiom: (((eq ((a->(c->c))->Prop)) finite40241358em_a_c) (fun (F2:(a->(c->c)))=> ((and (finite746615251te_a_c F2)) (finite19304177ms_a_c F2))))
% 1.01/1.18 FOF formula (((eq ((b->(d->d))->Prop)) finite868010766em_b_d) (fun (F2:(b->(d->d)))=> ((and (finite1574384659te_b_d F2)) (finite847073585ms_b_d F2)))) of role axiom named fact_114_comp__fun__idem__def
% 1.01/1.18 A new axiom: (((eq ((b->(d->d))->Prop)) finite868010766em_b_d) (fun (F2:(b->(d->d)))=> ((and (finite1574384659te_b_d F2)) (finite847073585ms_b_d F2))))
% 1.01/1.18 FOF formula (forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite847073585ms_b_d F))) of role axiom named fact_115_comp__fun__idem_Oaxioms_I2_J
% 1.01/1.18 A new axiom: (forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite847073585ms_b_d F)))
% 1.01/1.18 FOF formula (forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite19304177ms_a_c F))) of role axiom named fact_116_comp__fun__idem_Oaxioms_I2_J
% 1.01/1.18 A new axiom: (forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite19304177ms_a_c F)))
% 1.01/1.18 FOF formula (forall (F:(b->(d->d))), ((forall (X2:b), (((eq (d->d)) ((comp_d_d_d (F X2)) (F X2))) (F X2)))->(finite847073585ms_b_d F))) of role axiom named fact_117_comp__fun__idem__axioms_Ointro
% 1.01/1.18 A new axiom: (forall (F:(b->(d->d))), ((forall (X2:b), (((eq (d->d)) ((comp_d_d_d (F X2)) (F X2))) (F X2)))->(finite847073585ms_b_d F)))
% 1.01/1.18 FOF formula (forall (F:(a->(c->c))), ((forall (X2:a), (((eq (c->c)) ((comp_c_c_c (F X2)) (F X2))) (F X2)))->(finite19304177ms_a_c F))) of role axiom named fact_118_comp__fun__idem__axioms_Ointro
% 1.01/1.18 A new axiom: (forall (F:(a->(c->c))), ((forall (X2:a), (((eq (c->c)) ((comp_c_c_c (F X2)) (F X2))) (F X2)))->(finite19304177ms_a_c F)))
% 1.01/1.19 FOF formula (((eq ((b->(d->d))->Prop)) finite847073585ms_b_d) (fun (F2:(b->(d->d)))=> (forall (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 X3)) (F2 X3))) (F2 X3))))) of role axiom named fact_119_comp__fun__idem__axioms__def
% 1.01/1.19 A new axiom: (((eq ((b->(d->d))->Prop)) finite847073585ms_b_d) (fun (F2:(b->(d->d)))=> (forall (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 X3)) (F2 X3))) (F2 X3)))))
% 1.01/1.19 FOF formula (((eq ((a->(c->c))->Prop)) finite19304177ms_a_c) (fun (F2:(a->(c->c)))=> (forall (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 X3)) (F2 X3))) (F2 X3))))) of role axiom named fact_120_comp__fun__idem__axioms__def
% 1.01/1.19 A new axiom: (((eq ((a->(c->c))->Prop)) finite19304177ms_a_c) (fun (F2:(a->(c->c)))=> (forall (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 X3)) (F2 X3))) (F2 X3)))))
% 1.01/1.19 FOF formula (forall (Sa:(a->(b->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1071888283_a_b_o ((bNF_re418251421_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1217999849_a_b_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_121_fun_Orel__transfer
% 1.01/1.19 A new axiom: (forall (Sa:(a->(b->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1071888283_a_b_o ((bNF_re418251421_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1217999849_a_b_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.19 FOF formula (forall (Sa:(a->(b->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1310167325_a_a_o ((bNF_re1977372894_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re390230442_a_a_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_122_fun_Orel__transfer
% 1.01/1.19 A new axiom: (forall (Sa:(a->(b->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1310167325_a_a_o ((bNF_re1977372894_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re390230442_a_a_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.19 FOF formula (forall (Sa:(a->(a->Prop))) (Sc:(b->(b->Prop))), ((((bNF_re2141181021_a_b_o ((bNF_re250254555_o_b_o Sa) ((bNF_rel_fun_b_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1812319081_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1088547499_b_o_o ((bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_123_fun_Orel__transfer
% 1.01/1.19 A new axiom: (forall (Sa:(a->(a->Prop))) (Sc:(b->(b->Prop))), ((((bNF_re2141181021_a_b_o ((bNF_re250254555_o_b_o Sa) ((bNF_rel_fun_b_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1812319081_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1088547499_b_o_o ((bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.21 FOF formula (forall (Sa:(a->(a->Prop))) (Sc:(b->(a->Prop))), ((((bNF_re231976415_a_a_o ((bNF_re1809376028_o_a_o Sa) ((bNF_rel_fun_b_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re984549674_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1906994858_a_o_o ((bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_124_fun_Orel__transfer
% 1.01/1.21 A new axiom: (forall (Sa:(a->(a->Prop))) (Sc:(b->(a->Prop))), ((((bNF_re231976415_a_a_o ((bNF_re1809376028_o_a_o Sa) ((bNF_rel_fun_b_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re984549674_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1906994858_a_o_o ((bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.21 FOF formula (forall (Sa:(a->(a->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1165460699_a_b_o ((bNF_re131001756_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re581117672_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_125_fun_Orel__transfer
% 1.01/1.21 A new axiom: (forall (Sa:(a->(a->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1165460699_a_b_o ((bNF_re131001756_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re581117672_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.21 FOF formula (forall (Sa:(a->(a->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1403739741_a_a_o ((bNF_re1690123229_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1900831913_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_126_fun_Orel__transfer
% 1.01/1.21 A new axiom: (forall (Sa:(a->(a->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1403739741_a_a_o ((bNF_re1690123229_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1900831913_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.21 FOF formula (forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(b->Prop))), ((((bNF_re1133483099_a_b_o ((bNF_re1895239662_o_b_o Sa) ((bNF_re199323387_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re332737826_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re802276445_b_o_o ((bNF_re2038021755_d_d_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_127_fun_Orel__transfer
% 1.01/1.22 A new axiom: (forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(b->Prop))), ((((bNF_re1133483099_a_b_o ((bNF_re1895239662_o_b_o Sa) ((bNF_re199323387_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re332737826_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re802276445_b_o_o ((bNF_re2038021755_d_d_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.22 FOF formula (forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(a->Prop))), ((((bNF_re145798749_a_a_o ((bNF_re1306877487_o_a_o Sa) ((bNF_re991543930_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1652452067_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1620723804_a_o_o ((bNF_re2038021754_d_d_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_128_fun_Orel__transfer
% 1.01/1.22 A new axiom: (forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(a->Prop))), ((((bNF_re145798749_a_a_o ((bNF_re1306877487_o_a_o Sa) ((bNF_re991543930_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1652452067_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1620723804_a_o_o ((bNF_re2038021754_d_d_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.22 FOF formula (forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(b->Prop))), ((((bNF_re708047067_a_b_o ((bNF_re2038641070_o_b_o Sa) ((bNF_re90976443_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re364411746_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1256092317_b_o_o ((bNF_re950444091_c_c_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_129_fun_Orel__transfer
% 1.01/1.22 A new axiom: (forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(b->Prop))), ((((bNF_re708047067_a_b_o ((bNF_re2038641070_o_b_o Sa) ((bNF_re90976443_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re364411746_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1256092317_b_o_o ((bNF_re950444091_c_c_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.01/1.22 FOF formula (forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(a->Prop))), ((((bNF_re1867846365_a_a_o ((bNF_re1450278895_o_a_o Sa) ((bNF_re883196986_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1684125987_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re2074539676_a_o_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) of role axiom named fact_130_fun_Orel__transfer
% 1.01/1.22 A new axiom: (forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(a->Prop))), ((((bNF_re1867846365_a_a_o ((bNF_re1450278895_o_a_o Sa) ((bNF_re883196986_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1684125987_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re2074539676_a_o_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))))
% 1.09/1.23 FOF formula (forall (Ra:((c->c)->((c->c)->Prop))) (X:(a->(c->c))), ((forall (X2:(c->c)), ((Ra X2) X2))->((((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X))) of role axiom named fact_131_fun_Orel__refl
% 1.09/1.23 A new axiom: (forall (Ra:((c->c)->((c->c)->Prop))) (X:(a->(c->c))), ((forall (X2:(c->c)), ((Ra X2) X2))->((((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X)))
% 1.09/1.23 FOF formula (forall (Ra:(a->(a->Prop))) (X:(a->a)), ((forall (X2:a), ((Ra X2) X2))->((((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X))) of role axiom named fact_132_fun_Orel__refl
% 1.09/1.23 A new axiom: (forall (Ra:(a->(a->Prop))) (X:(a->a)), ((forall (X2:a), ((Ra X2) X2))->((((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X)))
% 1.09/1.23 FOF formula (((eq ((a->(c->c))->((a->(c->c))->Prop))) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2)))) (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) of role axiom named fact_133_fun_Orel__eq
% 1.09/1.23 A new axiom: (((eq ((a->(c->c))->((a->(c->c))->Prop))) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2)))) (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2)))
% 1.09/1.23 FOF formula (((eq ((a->a)->((a->a)->Prop))) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) of role axiom named fact_134_fun_Orel__eq
% 1.09/1.23 A new axiom: (((eq ((a->a)->((a->a)->Prop))) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2)))
% 1.09/1.23 FOF formula (forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((((bNF_rel_fun_a_b_a_b Y5) B) F) G))))) of role axiom named fact_135_rel__fun__mono_H
% 1.09/1.23 A new axiom: (forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((((bNF_rel_fun_a_b_a_b Y5) B) F) G)))))
% 1.09/1.23 FOF formula (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1979731817_c_d_d X4) A) F) G)->((((bNF_re1979731817_c_d_d Y5) B) F) G))))) of role axiom named fact_136_rel__fun__mono_H
% 1.09/1.23 A new axiom: (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1979731817_c_d_d X4) A) F) G)->((((bNF_re1979731817_c_d_d Y5) B) F) G)))))
% 1.09/1.23 FOF formula (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1143700905_c_c_c X4) A) F) G)->((((bNF_re1143700905_c_c_c Y5) B) F) G))))) of role axiom named fact_137_rel__fun__mono_H
% 1.09/1.23 A new axiom: (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1143700905_c_c_c X4) A) F) G)->((((bNF_re1143700905_c_c_c Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((((bNF_rel_fun_a_a_a_b Y5) B) F) G))))) of role axiom named fact_138_rel__fun__mono_H
% 1.09/1.25 A new axiom: (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((((bNF_rel_fun_a_a_a_b Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((((bNF_rel_fun_a_a_a_a Y5) B) F) G))))) of role axiom named fact_139_rel__fun__mono_H
% 1.09/1.25 A new axiom: (forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((((bNF_rel_fun_a_a_a_a Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re802603882_c_d_d X4) A) F) G)->((((bNF_re802603882_c_d_d Y5) B) F) G))))) of role axiom named fact_140_rel__fun__mono_H
% 1.09/1.25 A new axiom: (forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re802603882_c_d_d X4) A) F) G)->((((bNF_re802603882_c_d_d Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (Y5:(c->(d->Prop))) (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((((bNF_rel_fun_c_d_c_d Y5) B) F) G))))) of role axiom named fact_141_rel__fun__mono_H
% 1.09/1.25 A new axiom: (forall (Y5:(c->(d->Prop))) (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((((bNF_rel_fun_c_d_c_d Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (Y5:(a->(b->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_b_a_b Y5) B) F) G))))) of role axiom named fact_142_rel__fun__mono
% 1.09/1.25 A new axiom: (forall (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (Y5:(a->(b->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_b_a_b Y5) B) F) G)))))
% 1.09/1.25 FOF formula (forall (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (Y5:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re1979731817_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1979731817_c_d_d Y5) B) F) G))))) of role axiom named fact_143_rel__fun__mono
% 1.09/1.25 A new axiom: (forall (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (Y5:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re1979731817_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1979731817_c_d_d Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (Y5:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), (((((bNF_re1143700905_c_c_c X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1143700905_c_c_c Y5) B) F) G))))) of role axiom named fact_144_rel__fun__mono
% 1.09/1.27 A new axiom: (forall (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (Y5:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), (((((bNF_re1143700905_c_c_c X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1143700905_c_c_c Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (Y5:(a->(a->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_b Y5) B) F) G))))) of role axiom named fact_145_rel__fun__mono
% 1.09/1.27 A new axiom: (forall (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (Y5:(a->(a->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_b Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (Y5:(a->(a->Prop))) (B:(a->(a->Prop))), (((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_a Y5) B) F) G))))) of role axiom named fact_146_rel__fun__mono
% 1.09/1.27 A new axiom: (forall (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (Y5:(a->(a->Prop))) (B:(a->(a->Prop))), (((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_a Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (Y5:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re802603882_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re802603882_c_d_d Y5) B) F) G))))) of role axiom named fact_147_rel__fun__mono
% 1.09/1.27 A new axiom: (forall (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (Y5:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re802603882_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re802603882_c_d_d Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (Y5:(c->(d->Prop))) (B:(c->(d->Prop))), (((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_c_d_c_d Y5) B) F) G))))) of role axiom named fact_148_rel__fun__mono
% 1.09/1.27 A new axiom: (forall (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (Y5:(c->(d->Prop))) (B:(c->(d->Prop))), (((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_c_d_c_d Y5) B) F) G)))))
% 1.09/1.27 FOF formula (forall (R1:(a->(b->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b R1) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3)))) of role axiom named fact_149_let__rsp
% 1.09/1.27 A new axiom: (forall (R1:(a->(b->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b R1) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3))))
% 1.09/1.27 FOF formula (forall (R1:(a->(a->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d R1) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3)))) of role axiom named fact_150_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(a->(a->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d R1) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (R1:(a->(a->Prop))) (R2:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c R1) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3)))) of role axiom named fact_151_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(a->(a->Prop))) (R2:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c R1) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (R1:(a->(a->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b R1) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3)))) of role axiom named fact_152_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(a->(a->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b R1) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (R1:(a->(a->Prop))) (R2:(a->(a->Prop))), ((((bNF_re865741149_a_a_a R1) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3)))) of role axiom named fact_153_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(a->(a->Prop))) (R2:(a->(a->Prop))), ((((bNF_re865741149_a_a_a R1) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d R1) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3)))) of role axiom named fact_154_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d R1) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d R1) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d R1) R2)) R2)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3)))) of role axiom named fact_155_let__rsp
% 1.12/1.28 A new axiom: (forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d R1) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d R1) R2)) R2)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3))))
% 1.12/1.28 FOF formula (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (X:a) (Y:b), (((((bNF_rel_fun_a_b_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_156_rel__funD
% 1.12/1.28 A new axiom: (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (X:a) (Y:b), (((((bNF_rel_fun_a_b_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.28 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (X:a) (Y:a), (((((bNF_re1979731817_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_157_rel__funD
% 1.12/1.28 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (X:a) (Y:a), (((((bNF_re1979731817_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.28 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (X:a) (Y:a), (((((bNF_re1143700905_c_c_c A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_158_rel__funD
% 1.12/1.28 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (X:a) (Y:a), (((((bNF_re1143700905_c_c_c A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.29 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_159_rel__funD
% 1.12/1.29 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.29 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_a A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_160_rel__funD
% 1.12/1.29 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_a A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.29 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_161_rel__funD
% 1.12/1.29 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.29 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_162_rel__funD
% 1.12/1.29 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.12/1.29 FOF formula (forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->(d->d))) (L:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(d->d))) ((comp_b_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22))))) of role axiom named fact_163_rewriteR__comp__comp2
% 1.12/1.29 A new axiom: (forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->(d->d))) (L:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(d->d))) ((comp_b_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22)))))
% 1.12/1.29 FOF formula (forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22))))) of role axiom named fact_164_rewriteR__comp__comp2
% 1.12/1.29 A new axiom: (forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22)))))
% 1.12/1.29 FOF formula (forall (G:(b->(d->d))) (H:(b->b)) (R12:(b->(d->d))) (R22:(b->b)) (F:((d->d)->(d->d))) (L:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) ((comp_b_d_d_b R12) R22))->((((eq (b->(d->d))) ((comp_d_d_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22))))) of role axiom named fact_165_rewriteR__comp__comp2
% 1.12/1.29 A new axiom: (forall (G:(b->(d->d))) (H:(b->b)) (R12:(b->(d->d))) (R22:(b->b)) (F:((d->d)->(d->d))) (L:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) ((comp_b_d_d_b R12) R22))->((((eq (b->(d->d))) ((comp_d_d_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22)))))
% 1.12/1.29 FOF formula (forall (G:(a->(c->c))) (H:(a->a)) (R12:(a->(c->c))) (R22:(a->a)) (F:((c->c)->(c->c))) (L:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) ((comp_a_c_c_a R12) R22))->((((eq (a->(c->c))) ((comp_c_c_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22))))) of role axiom named fact_166_rewriteR__comp__comp2
% 1.12/1.29 A new axiom: (forall (G:(a->(c->c))) (H:(a->a)) (R12:(a->(c->c))) (R22:(a->a)) (F:((c->c)->(c->c))) (L:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) ((comp_a_c_c_a R12) R22))->((((eq (a->(c->c))) ((comp_c_c_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->b)) (L:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->b)) ((comp_b_b_b F) R12)) L)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b L) R22))))) of role axiom named fact_167_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->b)) (L:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->b)) ((comp_b_b_b F) R12)) L)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->a)) (L:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->a)) ((comp_a_a_a F) R12)) L)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a L) R22))))) of role axiom named fact_168_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->a)) (L:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->a)) ((comp_a_a_a F) R12)) L)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(b->a)) (H:(b->b)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b L) R22))))) of role axiom named fact_169_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(b->a)) (H:(b->b)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(a->a)) (H:(b->a)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_b L) R22))))) of role axiom named fact_170_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(a->a)) (H:(b->a)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_b L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(a->a)) (H:(b->a)) (R12:(b->a)) (R22:(b->b)) (F:(a->(c->c))) (L:(b->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_b_a_b R12) R22))->((((eq (b->(c->c))) ((comp_a_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22))))) of role axiom named fact_171_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(a->a)) (H:(b->a)) (R12:(b->a)) (R22:(b->b)) (F:(a->(c->c))) (L:(b->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_b_a_b R12) R22))->((((eq (b->(c->c))) ((comp_a_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22)))))
% 1.12/1.31 FOF formula (forall (G:(a->b)) (H:(b->a)) (R12:(b->b)) (R22:(b->b)) (F:(b->(c->c))) (L:(b->(c->c))), ((((eq (b->b)) ((comp_a_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(c->c))) ((comp_b_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_b_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22))))) of role axiom named fact_172_rewriteR__comp__comp2
% 1.12/1.31 A new axiom: (forall (G:(a->b)) (H:(b->a)) (R12:(b->b)) (R22:(b->b)) (F:(b->(c->c))) (L:(b->(c->c))), ((((eq (b->b)) ((comp_a_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(c->c))) ((comp_b_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_b_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22)))))
% 1.12/1.31 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L1) R4))))) of role axiom named fact_173_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L1) R4))))) of role axiom named fact_174_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L1) R4))))) of role axiom named fact_175_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L1) R4))))) of role axiom named fact_176_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (L1:((d->d)->(d->d))) (L2:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_d_d_d_d_b L1) L2))->((((eq (b->(d->d))) ((comp_b_d_d_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_d_d_d_d_b L1) R4))))) of role axiom named fact_177_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (L1:((d->d)->(d->d))) (L2:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_d_d_d_d_b L1) L2))->((((eq (b->(d->d))) ((comp_b_d_d_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_d_d_d_d_b L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (L1:((c->c)->(c->c))) (L2:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_c_c_c_c_a L1) L2))->((((eq (a->(c->c))) ((comp_a_c_c_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_c_c_c_c_a L1) R4))))) of role axiom named fact_178_rewriteL__comp__comp2
% 1.12/1.32 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (L1:((c->c)->(c->c))) (L2:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_c_c_c_c_a L1) L2))->((((eq (a->(c->c))) ((comp_a_c_c_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_c_c_c_c_a L1) R4)))))
% 1.12/1.32 FOF formula (forall (F:(b->b)) (G:(b->b)) (L1:(b->b)) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) ((comp_b_b_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L1) R4))))) of role axiom named fact_179_rewriteL__comp__comp2
% 1.12/1.33 A new axiom: (forall (F:(b->b)) (G:(b->b)) (L1:(b->b)) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) ((comp_b_b_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L1) R4)))))
% 1.12/1.33 FOF formula (forall (F:(a->a)) (G:(a->a)) (L1:(a->a)) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) ((comp_a_a_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L1) R4))))) of role axiom named fact_180_rewriteL__comp__comp2
% 1.12/1.33 A new axiom: (forall (F:(a->a)) (G:(a->a)) (L1:(a->a)) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) ((comp_a_a_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L1) R4)))))
% 1.12/1.33 FOF formula (forall (F:((c->c)->b)) (G:(a->(c->c))) (L1:(b->b)) (L2:(a->b)) (H:(b->a)) (R4:(b->b)), ((((eq (a->b)) ((comp_c_c_b_a F) G)) ((comp_b_b_a L1) L2))->((((eq (b->b)) ((comp_a_b_b L2) H)) R4)->(((eq (b->b)) ((comp_c_c_b_b F) ((comp_a_c_c_b G) H))) ((comp_b_b_b L1) R4))))) of role axiom named fact_181_rewriteL__comp__comp2
% 1.12/1.33 A new axiom: (forall (F:((c->c)->b)) (G:(a->(c->c))) (L1:(b->b)) (L2:(a->b)) (H:(b->a)) (R4:(b->b)), ((((eq (a->b)) ((comp_c_c_b_a F) G)) ((comp_b_b_a L1) L2))->((((eq (b->b)) ((comp_a_b_b L2) H)) R4)->(((eq (b->b)) ((comp_c_c_b_b F) ((comp_a_c_c_b G) H))) ((comp_b_b_b L1) R4)))))
% 1.12/1.33 FOF formula (forall (F:(b->b)) (G:(a->b)) (L1:((c->c)->b)) (L2:(a->(c->c))) (H:(b->a)) (R4:(b->(c->c))), ((((eq (a->b)) ((comp_b_b_a F) G)) ((comp_c_c_b_a L1) L2))->((((eq (b->(c->c))) ((comp_a_c_c_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_a_b_b G) H))) ((comp_c_c_b_b L1) R4))))) of role axiom named fact_182_rewriteL__comp__comp2
% 1.12/1.33 A new axiom: (forall (F:(b->b)) (G:(a->b)) (L1:((c->c)->b)) (L2:(a->(c->c))) (H:(b->a)) (R4:(b->(c->c))), ((((eq (a->b)) ((comp_b_b_a F) G)) ((comp_c_c_b_a L1) L2))->((((eq (b->(c->c))) ((comp_a_c_c_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_a_b_b G) H))) ((comp_c_c_b_b L1) R4)))))
% 1.12/1.33 FOF formula (forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) R4)))) of role axiom named fact_183_rewriteR__comp__comp
% 1.12/1.33 A new axiom: (forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) R4))))
% 1.12/1.33 FOF formula (forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) R4)))) of role axiom named fact_184_rewriteR__comp__comp
% 1.12/1.33 A new axiom: (forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) R4))))
% 1.19/1.33 FOF formula (forall (G:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))) (F:((d->d)->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) R4)))) of role axiom named fact_185_rewriteR__comp__comp
% 1.19/1.33 A new axiom: (forall (G:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))) (F:((d->d)->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) R4))))
% 1.19/1.33 FOF formula (forall (G:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))) (F:((c->c)->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) R4)))) of role axiom named fact_186_rewriteR__comp__comp
% 1.19/1.33 A new axiom: (forall (G:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))) (F:((c->c)->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) R4))))
% 1.19/1.35 FOF formula (forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) R4)))) of role axiom named fact_187_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) R4))))
% 1.19/1.35 FOF formula (forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) R4)))) of role axiom named fact_188_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) R4))))
% 1.19/1.35 FOF formula (forall (G:((d->d)->b)) (H:(b->(d->d))) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b G) H)) R4)->(((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) R4)))) of role axiom named fact_189_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:((d->d)->b)) (H:(b->(d->d))) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b G) H)) R4)->(((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) R4))))
% 1.19/1.35 FOF formula (forall (G:(b->a)) (H:(a->b)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_b_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) R4)))) of role axiom named fact_190_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:(b->a)) (H:(a->b)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_b_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) R4))))
% 1.19/1.35 FOF formula (forall (G:(b->a)) (H:(b->b)) (R4:(b->a)) (F:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) R4)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) R4)))) of role axiom named fact_191_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:(b->a)) (H:(b->b)) (R4:(b->a)) (F:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) R4)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) R4))))
% 1.19/1.35 FOF formula (forall (G:((c->c)->a)) (H:(a->(c->c))) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a G) H)) R4)->(((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) R4)))) of role axiom named fact_192_rewriteR__comp__comp
% 1.19/1.35 A new axiom: (forall (G:((c->c)->a)) (H:(a->(c->c))) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a G) H)) R4)->(((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) R4))))
% 1.19/1.35 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L) H)))) of role axiom named fact_193_rewriteL__comp__comp
% 1.19/1.35 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L) H))))
% 1.19/1.35 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L) H)))) of role axiom named fact_194_rewriteL__comp__comp
% 1.19/1.35 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L) H))))
% 1.19/1.35 FOF formula (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L) H)))) of role axiom named fact_195_rewriteL__comp__comp
% 1.19/1.35 A new axiom: (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L) H))))
% 1.19/1.35 FOF formula (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L) H)))) of role axiom named fact_196_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L) H))))
% 1.22/1.36 FOF formula (forall (F:(b->b)) (G:(b->b)) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L) H)))) of role axiom named fact_197_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:(b->b)) (G:(b->b)) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L) H))))
% 1.22/1.36 FOF formula (forall (F:(a->a)) (G:(a->a)) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) L)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L) H)))) of role axiom named fact_198_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:(a->a)) (G:(a->a)) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) L)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L) H))))
% 1.22/1.36 FOF formula (forall (F:((d->d)->b)) (G:(b->(d->d))) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b F) G)) L)->(((eq (b->b)) ((comp_d_d_b_b F) ((comp_b_d_d_b G) H))) ((comp_b_b_b L) H)))) of role axiom named fact_199_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:((d->d)->b)) (G:(b->(d->d))) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b F) G)) L)->(((eq (b->b)) ((comp_d_d_b_b F) ((comp_b_d_d_b G) H))) ((comp_b_b_b L) H))))
% 1.22/1.36 FOF formula (forall (F:((c->c)->a)) (G:(a->(c->c))) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a F) G)) L)->(((eq (a->a)) ((comp_c_c_a_a F) ((comp_a_c_c_a G) H))) ((comp_a_a_a L) H)))) of role axiom named fact_200_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:((c->c)->a)) (G:(a->(c->c))) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a F) G)) L)->(((eq (a->a)) ((comp_c_c_a_a F) ((comp_a_c_c_a G) H))) ((comp_a_a_a L) H))))
% 1.22/1.36 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(b->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b F) ((comp_a_a_b G) H))) ((comp_a_c_c_b L) H)))) of role axiom named fact_201_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(b->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b F) ((comp_a_a_b G) H))) ((comp_a_c_c_b L) H))))
% 1.22/1.36 FOF formula (forall (F:(b->b)) (G:((d->d)->b)) (L:((d->d)->b)) (H:(b->(d->d))), ((((eq ((d->d)->b)) ((comp_b_b_d_d F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_d_d_b_b G) H))) ((comp_d_d_b_b L) H)))) of role axiom named fact_202_rewriteL__comp__comp
% 1.22/1.36 A new axiom: (forall (F:(b->b)) (G:((d->d)->b)) (L:((d->d)->b)) (H:(b->(d->d))), ((((eq ((d->d)->b)) ((comp_b_b_d_d F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_d_d_b_b G) H))) ((comp_d_d_b_b L) H))))
% 1.22/1.36 FOF formula (forall (G:(b->(d->d))) (F:(b->b)) (V:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b G) ((comp_b_b_b F) V))) ((comp_b_d_d_b ((comp_b_d_d_b G) F)) V))) of role axiom named fact_203_fun_Omap__comp
% 1.22/1.36 A new axiom: (forall (G:(b->(d->d))) (F:(b->b)) (V:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b G) ((comp_b_b_b F) V))) ((comp_b_d_d_b ((comp_b_d_d_b G) F)) V)))
% 1.22/1.36 FOF formula (forall (G:(a->(c->c))) (F:(a->a)) (V:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_a_a_a F) V))) ((comp_a_c_c_a ((comp_a_c_c_a G) F)) V))) of role axiom named fact_204_fun_Omap__comp
% 1.22/1.36 A new axiom: (forall (G:(a->(c->c))) (F:(a->a)) (V:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_a_a_a F) V))) ((comp_a_c_c_a ((comp_a_c_c_a G) F)) V)))
% 1.22/1.36 FOF formula (forall (G:((d->d)->(d->d))) (F:(b->(d->d))) (V:(b->b)), (((eq (b->(d->d))) ((comp_d_d_d_d_b G) ((comp_b_d_d_b F) V))) ((comp_b_d_d_b ((comp_d_d_d_d_b G) F)) V))) of role axiom named fact_205_fun_Omap__comp
% 1.22/1.36 A new axiom: (forall (G:((d->d)->(d->d))) (F:(b->(d->d))) (V:(b->b)), (((eq (b->(d->d))) ((comp_d_d_d_d_b G) ((comp_b_d_d_b F) V))) ((comp_b_d_d_b ((comp_d_d_d_d_b G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:((c->c)->(c->c))) (F:(a->(c->c))) (V:(a->a)), (((eq (a->(c->c))) ((comp_c_c_c_c_a G) ((comp_a_c_c_a F) V))) ((comp_a_c_c_a ((comp_c_c_c_c_a G) F)) V))) of role axiom named fact_206_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:((c->c)->(c->c))) (F:(a->(c->c))) (V:(a->a)), (((eq (a->(c->c))) ((comp_c_c_c_c_a G) ((comp_a_c_c_a F) V))) ((comp_a_c_c_a ((comp_c_c_c_c_a G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:(b->b)) (F:(b->b)) (V:(b->b)), (((eq (b->b)) ((comp_b_b_b G) ((comp_b_b_b F) V))) ((comp_b_b_b ((comp_b_b_b G) F)) V))) of role axiom named fact_207_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:(b->b)) (F:(b->b)) (V:(b->b)), (((eq (b->b)) ((comp_b_b_b G) ((comp_b_b_b F) V))) ((comp_b_b_b ((comp_b_b_b G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:(a->a)) (F:(a->a)) (V:(a->a)), (((eq (a->a)) ((comp_a_a_a G) ((comp_a_a_a F) V))) ((comp_a_a_a ((comp_a_a_a G) F)) V))) of role axiom named fact_208_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:(a->a)) (F:(a->a)) (V:(a->a)), (((eq (a->a)) ((comp_a_a_a G) ((comp_a_a_a F) V))) ((comp_a_a_a ((comp_a_a_a G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:((d->d)->b)) (F:(b->(d->d))) (V:(b->b)), (((eq (b->b)) ((comp_d_d_b_b G) ((comp_b_d_d_b F) V))) ((comp_b_b_b ((comp_d_d_b_b G) F)) V))) of role axiom named fact_209_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:((d->d)->b)) (F:(b->(d->d))) (V:(b->b)), (((eq (b->b)) ((comp_d_d_b_b G) ((comp_b_d_d_b F) V))) ((comp_b_b_b ((comp_d_d_b_b G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:((c->c)->a)) (F:(a->(c->c))) (V:(a->a)), (((eq (a->a)) ((comp_c_c_a_a G) ((comp_a_c_c_a F) V))) ((comp_a_a_a ((comp_c_c_a_a G) F)) V))) of role axiom named fact_210_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:((c->c)->a)) (F:(a->(c->c))) (V:(a->a)), (((eq (a->a)) ((comp_c_c_a_a G) ((comp_a_c_c_a F) V))) ((comp_a_a_a ((comp_c_c_a_a G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:(a->(c->c))) (F:(b->a)) (V:(a->b)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_b_a_a F) V))) ((comp_b_c_c_a ((comp_a_c_c_b G) F)) V))) of role axiom named fact_211_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:(a->(c->c))) (F:(b->a)) (V:(a->b)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_b_a_a F) V))) ((comp_b_c_c_a ((comp_a_c_c_b G) F)) V)))
% 1.22/1.38 FOF formula (forall (G:(b->b)) (F:(b->b)) (V:((d->d)->b)), (((eq ((d->d)->b)) ((comp_b_b_d_d G) ((comp_b_b_d_d F) V))) ((comp_b_b_d_d ((comp_b_b_b G) F)) V))) of role axiom named fact_212_fun_Omap__comp
% 1.22/1.38 A new axiom: (forall (G:(b->b)) (F:(b->b)) (V:((d->d)->b)), (((eq ((d->d)->b)) ((comp_b_b_d_d G) ((comp_b_b_d_d F) V))) ((comp_b_b_d_d ((comp_b_b_b G) F)) V)))
% 1.22/1.38 FOF formula (forall (F:(b->b)) (G:((d->d)->b)) (X:(d->d)) (H:(b->b)) (K:((d->d)->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_d_d F) G) X)) (((comp_b_b_d_d H) K) X)))) of role axiom named fact_213_comp__apply__eq
% 1.22/1.38 A new axiom: (forall (F:(b->b)) (G:((d->d)->b)) (X:(d->d)) (H:(b->b)) (K:((d->d)->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_d_d F) G) X)) (((comp_b_b_d_d H) K) X))))
% 1.22/1.38 FOF formula (forall (F:(b->b)) (G:(b->b)) (X:b) (H:(b->b)) (K:(b->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_b F) G) X)) (((comp_b_b_b H) K) X)))) of role axiom named fact_214_comp__apply__eq
% 1.22/1.38 A new axiom: (forall (F:(b->b)) (G:(b->b)) (X:b) (H:(b->b)) (K:(b->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_b F) G) X)) (((comp_b_b_b H) K) X))))
% 1.22/1.38 FOF formula (forall (F:(a->(c->c))) (G:(b->a)) (X:b) (H:(a->(c->c))) (K:(b->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_b F) G) X)) (((comp_a_c_c_b H) K) X)))) of role axiom named fact_215_comp__apply__eq
% 1.22/1.38 A new axiom: (forall (F:(a->(c->c))) (G:(b->a)) (X:b) (H:(a->(c->c))) (K:(b->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_b F) G) X)) (((comp_a_c_c_b H) K) X))))
% 1.22/1.38 FOF formula (forall (F:(a->a)) (G:((c->c)->a)) (X:(c->c)) (H:(a->a)) (K:((c->c)->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_c_c F) G) X)) (((comp_a_a_c_c H) K) X)))) of role axiom named fact_216_comp__apply__eq
% 1.22/1.38 A new axiom: (forall (F:(a->a)) (G:((c->c)->a)) (X:(c->c)) (H:(a->a)) (K:((c->c)->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_c_c F) G) X)) (((comp_a_a_c_c H) K) X))))
% 1.22/1.39 FOF formula (forall (F:(a->a)) (G:(a->a)) (X:a) (H:(a->a)) (K:(a->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_a F) G) X)) (((comp_a_a_a H) K) X)))) of role axiom named fact_217_comp__apply__eq
% 1.22/1.39 A new axiom: (forall (F:(a->a)) (G:(a->a)) (X:a) (H:(a->a)) (K:(a->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_a F) G) X)) (((comp_a_a_a H) K) X))))
% 1.22/1.39 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (X:b) (H:(b->(d->d))) (K:(b->b)), ((((eq (d->d)) (F (G X))) (H (K X)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b H) K) X)))) of role axiom named fact_218_comp__apply__eq
% 1.22/1.39 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (X:b) (H:(b->(d->d))) (K:(b->b)), ((((eq (d->d)) (F (G X))) (H (K X)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b H) K) X))))
% 1.22/1.39 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (X:a) (H:(a->(c->c))) (K:(a->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a H) K) X)))) of role axiom named fact_219_comp__apply__eq
% 1.22/1.39 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (X:a) (H:(a->(c->c))) (K:(a->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a H) K) X))))
% 1.22/1.39 FOF formula (forall (A3:a) (P:(a->Prop)), (((eq Prop) ((member_a A3) (collect_a P))) (P A3))) of role axiom named fact_220_mem__Collect__eq
% 1.22/1.39 A new axiom: (forall (A3:a) (P:(a->Prop)), (((eq Prop) ((member_a A3) (collect_a P))) (P A3)))
% 1.22/1.39 FOF formula (forall (A3:c) (P:(c->Prop)), (((eq Prop) ((member_c A3) (collect_c P))) (P A3))) of role axiom named fact_221_mem__Collect__eq
% 1.22/1.39 A new axiom: (forall (A3:c) (P:(c->Prop)), (((eq Prop) ((member_c A3) (collect_c P))) (P A3)))
% 1.22/1.39 FOF formula (forall (A3:b) (P:(b->Prop)), (((eq Prop) ((member_b A3) (collect_b P))) (P A3))) of role axiom named fact_222_mem__Collect__eq
% 1.22/1.39 A new axiom: (forall (A3:b) (P:(b->Prop)), (((eq Prop) ((member_b A3) (collect_b P))) (P A3)))
% 1.22/1.39 FOF formula (forall (A3:d) (P:(d->Prop)), (((eq Prop) ((member_d A3) (collect_d P))) (P A3))) of role axiom named fact_223_mem__Collect__eq
% 1.22/1.39 A new axiom: (forall (A3:d) (P:(d->Prop)), (((eq Prop) ((member_d A3) (collect_d P))) (P A3)))
% 1.22/1.39 FOF formula (forall (A:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A)))) A)) of role axiom named fact_224_Collect__mem__eq
% 1.22/1.39 A new axiom: (forall (A:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A)))) A))
% 1.22/1.39 FOF formula (forall (A:set_c), (((eq set_c) (collect_c (fun (X3:c)=> ((member_c X3) A)))) A)) of role axiom named fact_225_Collect__mem__eq
% 1.22/1.39 A new axiom: (forall (A:set_c), (((eq set_c) (collect_c (fun (X3:c)=> ((member_c X3) A)))) A))
% 1.22/1.39 FOF formula (forall (A:set_b), (((eq set_b) (collect_b (fun (X3:b)=> ((member_b X3) A)))) A)) of role axiom named fact_226_Collect__mem__eq
% 1.22/1.39 A new axiom: (forall (A:set_b), (((eq set_b) (collect_b (fun (X3:b)=> ((member_b X3) A)))) A))
% 1.22/1.39 FOF formula (forall (A:set_d), (((eq set_d) (collect_d (fun (X3:d)=> ((member_d X3) A)))) A)) of role axiom named fact_227_Collect__mem__eq
% 1.22/1.39 A new axiom: (forall (A:set_d), (((eq set_d) (collect_d (fun (X3:d)=> ((member_d X3) A)))) A))
% 1.22/1.39 FOF formula (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V)))) of role axiom named fact_228_comp__eq__dest__lhs
% 1.22/1.39 A new axiom: (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V))))
% 1.22/1.39 FOF formula (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V)))) of role axiom named fact_229_comp__eq__dest__lhs
% 1.22/1.39 A new axiom: (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V))))
% 1.22/1.39 FOF formula (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(b->(c->c))) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V)))) of role axiom named fact_230_comp__eq__dest__lhs
% 1.22/1.39 A new axiom: (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(b->(c->c))) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V))))
% 1.22/1.41 FOF formula (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V)))) of role axiom named fact_231_comp__eq__dest__lhs
% 1.22/1.41 A new axiom: (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V))))
% 1.22/1.41 FOF formula (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V)))) of role axiom named fact_232_comp__eq__dest__lhs
% 1.22/1.41 A new axiom: (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V))))
% 1.22/1.41 FOF formula (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) C2)->(((eq (d->d)) (A3 (B3 V))) (C2 V)))) of role axiom named fact_233_comp__eq__dest__lhs
% 1.22/1.41 A new axiom: (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) C2)->(((eq (d->d)) (A3 (B3 V))) (C2 V))))
% 1.22/1.41 FOF formula (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V)))) of role axiom named fact_234_comp__eq__dest__lhs
% 1.22/1.41 A new axiom: (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V))))
% 1.22/1.41 FOF formula (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(forall (V2:(d->d)), (((eq b) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_235_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(forall (V2:(d->d)), (((eq b) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.41 FOF formula (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(forall (V2:b), (((eq b) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_236_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(forall (V2:b), (((eq b) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.41 FOF formula (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(forall (V2:b), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_237_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(forall (V2:b), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.41 FOF formula (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(forall (V2:(c->c)), (((eq a) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_238_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(forall (V2:(c->c)), (((eq a) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.41 FOF formula (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(forall (V2:a), (((eq a) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_239_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(forall (V2:a), (((eq a) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.41 FOF formula (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(forall (V2:b), (((eq (d->d)) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_240_comp__eq__elim
% 1.22/1.41 A new axiom: (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(forall (V2:b), (((eq (d->d)) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.42 FOF formula (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(forall (V2:a), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2)))))) of role axiom named fact_241_comp__eq__elim
% 1.22/1.42 A new axiom: (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(forall (V2:a), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2))))))
% 1.22/1.42 FOF formula (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_242_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_243_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_244_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_245_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_246_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(((eq (d->d)) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_247_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(((eq (d->d)) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V))))) of role axiom named fact_248_comp__eq__dest
% 1.22/1.42 A new axiom: (forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V)))))
% 1.22/1.42 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) ((comp_b_b_b G) H)))) of role axiom named fact_249_comp__assoc
% 1.22/1.42 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) ((comp_b_b_b G) H))))
% 1.22/1.42 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) ((comp_a_a_a G) H)))) of role axiom named fact_250_comp__assoc
% 1.22/1.42 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) ((comp_a_a_a G) H))))
% 1.28/1.43 FOF formula (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H)))) of role axiom named fact_251_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))))
% 1.28/1.43 FOF formula (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H)))) of role axiom named fact_252_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))))
% 1.28/1.43 FOF formula (forall (F:(b->b)) (G:(b->b)) (H:(b->b)), (((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) ((comp_b_b_b G) H)))) of role axiom named fact_253_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(b->b)) (G:(b->b)) (H:(b->b)), (((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) ((comp_b_b_b G) H))))
% 1.28/1.43 FOF formula (forall (F:(a->a)) (G:(a->a)) (H:(a->a)), (((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) ((comp_a_a_a G) H)))) of role axiom named fact_254_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(a->a)) (G:(a->a)) (H:(a->a)), (((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) ((comp_a_a_a G) H))))
% 1.28/1.43 FOF formula (forall (F:(b->b)) (G:((d->d)->b)) (H:(b->(d->d))), (((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) ((comp_d_d_b_b G) H)))) of role axiom named fact_255_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(b->b)) (G:((d->d)->b)) (H:(b->(d->d))), (((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) ((comp_d_d_b_b G) H))))
% 1.28/1.43 FOF formula (forall (F:(a->(c->c))) (G:(b->a)) (H:(a->b)), (((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) ((comp_b_a_a G) H)))) of role axiom named fact_256_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(a->(c->c))) (G:(b->a)) (H:(a->b)), (((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) ((comp_b_a_a G) H))))
% 1.28/1.43 FOF formula (forall (F:(a->(c->c))) (G:(b->a)) (H:(b->b)), (((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) ((comp_b_a_b G) H)))) of role axiom named fact_257_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(a->(c->c))) (G:(b->a)) (H:(b->b)), (((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) ((comp_b_a_b G) H))))
% 1.28/1.43 FOF formula (forall (F:(a->a)) (G:((c->c)->a)) (H:(a->(c->c))), (((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) ((comp_c_c_a_a G) H)))) of role axiom named fact_258_comp__assoc
% 1.28/1.43 A new axiom: (forall (F:(a->a)) (G:((c->c)->a)) (H:(a->(c->c))), (((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) ((comp_c_c_a_a G) H))))
% 1.28/1.43 FOF formula (((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3)))) of role axiom named fact_259_comp__def
% 1.28/1.43 A new axiom: (((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3))))
% 1.28/1.43 FOF formula (((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_260_comp__def
% 1.28/1.43 A new axiom: (((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3))))
% 1.28/1.43 FOF formula (((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_261_comp__def
% 1.28/1.43 A new axiom: (((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3))))
% 1.28/1.43 FOF formula (((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3)))) of role axiom named fact_262_comp__def
% 1.28/1.43 A new axiom: (((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3))))
% 1.28/1.45 FOF formula (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))) of role axiom named fact_263_comp__def
% 1.28/1.45 A new axiom: (((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3))))
% 1.28/1.45 FOF formula (((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))) of role axiom named fact_264_comp__def
% 1.28/1.45 A new axiom: (((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3))))
% 1.28/1.45 FOF formula (((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))) of role axiom named fact_265_comp__def
% 1.28/1.45 A new axiom: (((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3))))
% 1.28/1.45 FOF formula (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b A) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3)))) of role axiom named fact_266_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b A) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d A) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3)))) of role axiom named fact_267_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d A) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c A) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3)))) of role axiom named fact_268_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c A) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b A) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3)))) of role axiom named fact_269_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b A) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))), ((((bNF_re865741149_a_a_a A) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3)))) of role axiom named fact_270_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(a->Prop))) (B:(a->(a->Prop))), ((((bNF_re865741149_a_a_a A) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d A) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3)))) of role axiom named fact_271_Let__transfer
% 1.28/1.45 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d A) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3))))
% 1.28/1.45 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d A) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d A) B)) B)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3)))) of role axiom named fact_272_Let__transfer
% 1.31/1.46 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d A) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d A) B)) B)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:(b->a)) (X:b) (N:(a->a)) (H:(b->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_b ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_b ((comp_a_c_c_a F) N)) H) X)))) of role axiom named fact_273_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:(b->a)) (X:b) (N:(a->a)) (H:(b->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_b ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_b ((comp_a_c_c_a F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:((c->c)->a)) (H:((c->c)->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_c_c ((comp_a_a_c_c F) N)) H) X)))) of role axiom named fact_274_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:((c->c)->a)) (H:((c->c)->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_c_c ((comp_a_a_c_c F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:(a->a)) (H:((c->c)->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_a_a_c_c ((comp_a_a_a F) N)) H) X)))) of role axiom named fact_275_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:(a->a)) (H:((c->c)->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_a_a_c_c ((comp_a_a_a F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:(a->a)) (X:a) (N:((c->c)->a)) (H:(a->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_a ((comp_a_a_c_c F) N)) H) X)))) of role axiom named fact_276_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:(a->a)) (X:a) (N:((c->c)->a)) (H:(a->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_a ((comp_a_a_c_c F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_a_a_a ((comp_a_a_a F) N)) H) X)))) of role axiom named fact_277_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_a_a_a ((comp_a_a_a F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(b->b)) (G:(b->b)) (X:b) (N:(b->b)) (H:(b->b)) (F:(b->(d->d))), ((((eq b) (M (G X))) (N (H X)))->(((eq (d->d)) (((comp_b_d_d_b ((comp_b_d_d_b F) M)) G) X)) (((comp_b_d_d_b ((comp_b_d_d_b F) N)) H) X)))) of role axiom named fact_278_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(b->b)) (G:(b->b)) (X:b) (N:(b->b)) (H:(b->b)) (F:(b->(d->d))), ((((eq b) (M (G X))) (N (H X)))->(((eq (d->d)) (((comp_b_d_d_b ((comp_b_d_d_b F) M)) G) X)) (((comp_b_d_d_b ((comp_b_d_d_b F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_a ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_a ((comp_a_c_c_a F) N)) H) X)))) of role axiom named fact_279_type__copy__map__cong0
% 1.31/1.46 A new axiom: (forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_a ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_a ((comp_a_c_c_a F) N)) H) X))))
% 1.31/1.46 FOF formula (forall (G:(b->(d->d))) (F:(b->(d->d))), (((eq Prop) (forall (X3:b), ((ex b) (fun (Y3:b)=> (((eq (d->d)) (G Y3)) (F X3)))))) ((ex (b->b)) (fun (H2:(b->b))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b G) H2)))))) of role axiom named fact_280_function__factors__right
% 1.31/1.48 A new axiom: (forall (G:(b->(d->d))) (F:(b->(d->d))), (((eq Prop) (forall (X3:b), ((ex b) (fun (Y3:b)=> (((eq (d->d)) (G Y3)) (F X3)))))) ((ex (b->b)) (fun (H2:(b->b))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b G) H2))))))
% 1.31/1.48 FOF formula (forall (G:(a->(c->c))) (F:(a->(c->c))), (((eq Prop) (forall (X3:a), ((ex a) (fun (Y3:a)=> (((eq (c->c)) (G Y3)) (F X3)))))) ((ex (a->a)) (fun (H2:(a->a))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a G) H2)))))) of role axiom named fact_281_function__factors__right
% 1.31/1.48 A new axiom: (forall (G:(a->(c->c))) (F:(a->(c->c))), (((eq Prop) (forall (X3:a), ((ex a) (fun (Y3:a)=> (((eq (c->c)) (G Y3)) (F X3)))))) ((ex (a->a)) (fun (H2:(a->a))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a G) H2))))))
% 1.31/1.48 FOF formula (forall (G:(b->b)) (F:(b->(d->d))), (((eq Prop) (forall (X3:b) (Y3:b), ((((eq b) (G X3)) (G Y3))->(((eq (d->d)) (F X3)) (F Y3))))) ((ex (b->(d->d))) (fun (H2:(b->(d->d)))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b H2) G)))))) of role axiom named fact_282_function__factors__left
% 1.31/1.48 A new axiom: (forall (G:(b->b)) (F:(b->(d->d))), (((eq Prop) (forall (X3:b) (Y3:b), ((((eq b) (G X3)) (G Y3))->(((eq (d->d)) (F X3)) (F Y3))))) ((ex (b->(d->d))) (fun (H2:(b->(d->d)))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b H2) G))))))
% 1.31/1.48 FOF formula (forall (G:(a->a)) (F:(a->(c->c))), (((eq Prop) (forall (X3:a) (Y3:a), ((((eq a) (G X3)) (G Y3))->(((eq (c->c)) (F X3)) (F Y3))))) ((ex (a->(c->c))) (fun (H2:(a->(c->c)))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a H2) G)))))) of role axiom named fact_283_function__factors__left
% 1.31/1.48 A new axiom: (forall (G:(a->a)) (F:(a->(c->c))), (((eq Prop) (forall (X3:a) (Y3:a), ((((eq a) (G X3)) (G Y3))->(((eq (c->c)) (F X3)) (F Y3))))) ((ex (a->(c->c))) (fun (H2:(a->(c->c)))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a H2) G))))))
% 1.31/1.48 FOF formula (forall (F:(b->(d->d))) (G:(b->b)) (X:b) (F3:(b->(d->d))) (G3:(b->b)) (X5:b), ((((eq (d->d)) (F (G X))) (F3 (G3 X5)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b F3) G3) X5)))) of role axiom named fact_284_comp__cong
% 1.31/1.48 A new axiom: (forall (F:(b->(d->d))) (G:(b->b)) (X:b) (F3:(b->(d->d))) (G3:(b->b)) (X5:b), ((((eq (d->d)) (F (G X))) (F3 (G3 X5)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b F3) G3) X5))))
% 1.31/1.48 FOF formula (forall (F:(a->(c->c))) (G:(a->a)) (X:a) (F3:(a->(c->c))) (G3:(a->a)) (X5:a), ((((eq (c->c)) (F (G X))) (F3 (G3 X5)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a F3) G3) X5)))) of role axiom named fact_285_comp__cong
% 1.31/1.48 A new axiom: (forall (F:(a->(c->c))) (G:(a->a)) (X:a) (F3:(a->(c->c))) (G3:(a->a)) (X5:a), ((((eq (c->c)) (F (G X))) (F3 (G3 X5)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a F3) G3) X5))))
% 1.31/1.48 FOF formula (forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y))))) of role axiom named fact_286_apply__rsp_H
% 1.31/1.48 A new axiom: (forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y)))))
% 1.31/1.48 FOF formula (forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y))))) of role axiom named fact_287_apply__rsp_H
% 1.31/1.48 A new axiom: (forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y)))))
% 1.31/1.48 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_288_rel__funE
% 1.31/1.48 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.31/1.48 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))) of role axiom named fact_289_rel__funE
% 1.31/1.48 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y)))))
% 1.31/1.49 FOF formula (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re932551557_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d C) D2)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_a_c_c_c_c) map_fun_b_b_d_d_d_d)) of role axiom named fact_290_map__fun__parametric
% 1.31/1.49 A new axiom: (forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re932551557_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d C) D2)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_a_c_c_c_c) map_fun_b_b_d_d_d_d))
% 1.31/1.49 FOF formula (forall (A:(c->(d->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:(c->(d->Prop))), ((((bNF_re1164948833_d_d_d ((bNF_rel_fun_c_d_a_b A) B)) ((bNF_re1238578079_d_d_d ((bNF_re1303182826_d_c_d C) D2)) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_a_c_c_c) map_fun_d_b_d_d_d)) of role axiom named fact_291_map__fun__parametric
% 1.31/1.49 A new axiom: (forall (A:(c->(d->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:(c->(d->Prop))), ((((bNF_re1164948833_d_d_d ((bNF_rel_fun_c_d_a_b A) B)) ((bNF_re1238578079_d_d_d ((bNF_re1303182826_d_c_d C) D2)) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_a_c_c_c) map_fun_d_b_d_d_d))
% 1.31/1.49 FOF formula (forall (A:(a->(b->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1606289753_b_d_d ((bNF_rel_fun_a_b_c_d A) B)) ((bNF_re1507718559_b_d_d ((bNF_re1972258794_c_d_d C) D2)) ((bNF_re1145286186_b_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_c_c2) map_fun_b_d_d_d_d2)) of role axiom named fact_292_map__fun__parametric
% 1.31/1.49 A new axiom: (forall (A:(a->(b->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1606289753_b_d_d ((bNF_rel_fun_a_b_c_d A) B)) ((bNF_re1507718559_b_d_d ((bNF_re1972258794_c_d_d C) D2)) ((bNF_re1145286186_b_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_c_c2) map_fun_b_d_d_d_d2))
% 1.31/1.49 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re364486559_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re387831090_b_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re35019871_b_d_d ((bNF_re1795127658_d_a_b B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_a_c_c) map_fun_b_d_d_b_d_d)) of role axiom named fact_293_map__fun__parametric
% 1.31/1.49 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re364486559_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re387831090_b_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re35019871_b_d_d ((bNF_re1795127658_d_a_b B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_a_c_c) map_fun_b_d_d_b_d_d))
% 1.31/1.49 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re727696351_d_b_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re335372010_d_b_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re1209333166_c_b_d ((bNF_re1303182826_d_c_d B) C)) ((bNF_rel_fun_a_b_c_d A) D2)))) map_fun_a_c_c_c_c) map_fun_b_d_d_d_d)) of role axiom named fact_294_map__fun__parametric
% 1.31/1.49 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re727696351_d_b_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re335372010_d_b_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re1209333166_c_b_d ((bNF_re1303182826_d_c_d B) C)) ((bNF_rel_fun_a_b_c_d A) D2)))) map_fun_a_c_c_c_c) map_fun_b_d_d_d_d))
% 1.31/1.49 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1709888353_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re2120361759_d_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re1509948838_d_d_d ((bNF_rel_fun_c_d_a_b B) C)) ((bNF_re1972258794_c_d_d A) D2)))) map_fun_c_c_a_c_c) map_fun_d_d_b_d_d)) of role axiom named fact_295_map__fun__parametric
% 1.31/1.50 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1709888353_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re2120361759_d_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re1509948838_d_d_d ((bNF_rel_fun_c_d_a_b B) C)) ((bNF_re1972258794_c_d_d A) D2)))) map_fun_c_c_a_c_c) map_fun_d_d_b_d_d))
% 1.31/1.50 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re888371717_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_c_c_c) map_fun_d_d_d_d)) of role axiom named fact_296_map__fun__parametric
% 1.31/1.50 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re888371717_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_c_c_c) map_fun_d_d_d_d))
% 1.31/1.50 FOF formula (forall (C:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b C)->((((bNF_re19414301_d_d_o ((bNF_re781155241_d_d_o A) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1855937521_d_d_o ((bNF_re802603882_c_d_d C) A)) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia186872226_c_c_a) partia1709452835_d_d_b))) of role axiom named fact_297_fun__ord__parametric
% 1.31/1.50 A new axiom: (forall (C:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b C)->((((bNF_re19414301_d_d_o ((bNF_re781155241_d_d_o A) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1855937521_d_d_o ((bNF_re802603882_c_d_d C) A)) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia186872226_c_c_a) partia1709452835_d_d_b)))
% 1.31/1.50 FOF formula (forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d C)->((((bNF_re764708765_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re781155241_d_d_o ((bNF_rel_fun_c_d_c_d C) A)) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia1494029680_c_c_c) partia1041982257_d_d_d))) of role axiom named fact_298_fun__ord__parametric
% 1.31/1.50 A new axiom: (forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d C)->((((bNF_re764708765_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re781155241_d_d_o ((bNF_rel_fun_c_d_c_d C) A)) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia1494029680_c_c_c) partia1041982257_d_d_d)))
% 1.31/1.50 FOF formula (forall (F:(a->(c->c))) (S:c) (M:multiset_a) (N:multiset_a), ((finite746615251te_a_c F)->(((eq c) (((fold_mset_a_c F) S) ((plus_plus_multiset_a M) N))) (((fold_mset_a_c F) (((fold_mset_a_c F) S) M)) N)))) of role axiom named fact_299_comp__fun__commute_Ofold__mset__union
% 1.31/1.50 A new axiom: (forall (F:(a->(c->c))) (S:c) (M:multiset_a) (N:multiset_a), ((finite746615251te_a_c F)->(((eq c) (((fold_mset_a_c F) S) ((plus_plus_multiset_a M) N))) (((fold_mset_a_c F) (((fold_mset_a_c F) S) M)) N))))
% 1.31/1.50 FOF formula (forall (F:(b->(d->d))) (S:d) (M:multiset_b) (N:multiset_b), ((finite1574384659te_b_d F)->(((eq d) (((fold_mset_b_d F) S) ((plus_plus_multiset_b M) N))) (((fold_mset_b_d F) (((fold_mset_b_d F) S) M)) N)))) of role axiom named fact_300_comp__fun__commute_Ofold__mset__union
% 1.31/1.50 A new axiom: (forall (F:(b->(d->d))) (S:d) (M:multiset_b) (N:multiset_b), ((finite1574384659te_b_d F)->(((eq d) (((fold_mset_b_d F) S) ((plus_plus_multiset_b M) N))) (((fold_mset_b_d F) (((fold_mset_b_d F) S) M)) N))))
% 1.31/1.51 FOF formula (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(d->d))) (Rep3:((d->d)->(d->d))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((((quotient3_d_d_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu538233110_b_d_d ((map_fun_b_b_d_d_d_d Abs2) Rep3)) ((map_fu683206690_b_d_d ((map_fun_b_b_b_b Abs1) Rep2)) ((map_fun_b_b_d_d_d_d Rep1) Abs3))) comp_b_d_d_b)) comp_b_d_d_b))))) of role axiom named fact_301_o__prs_I1_J
% 1.31/1.51 A new axiom: (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(d->d))) (Rep3:((d->d)->(d->d))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((((quotient3_d_d_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu538233110_b_d_d ((map_fun_b_b_d_d_d_d Abs2) Rep3)) ((map_fu683206690_b_d_d ((map_fun_b_b_b_b Abs1) Rep2)) ((map_fun_b_b_d_d_d_d Rep1) Abs3))) comp_b_d_d_b)) comp_b_d_d_b)))))
% 1.31/1.51 FOF formula (forall (R1:(b->(b->Prop))) (Abs1:(b->a)) (Rep1:(a->b)) (R2:(b->(b->Prop))) (Abs2:(b->a)) (Rep2:(a->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(c->c))) (Rep3:((c->c)->(d->d))), ((((quotient3_b_a R1) Abs1) Rep1)->((((quotient3_b_a R2) Abs2) Rep2)->((((quotient3_d_d_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu232832790_a_c_c ((map_fun_b_a_c_c_d_d Abs2) Rep3)) ((map_fu75729569_a_c_c ((map_fun_b_a_a_b Abs1) Rep2)) ((map_fun_a_b_d_d_c_c Rep1) Abs3))) comp_b_d_d_b)) comp_a_c_c_a))))) of role axiom named fact_302_o__prs_I1_J
% 1.31/1.51 A new axiom: (forall (R1:(b->(b->Prop))) (Abs1:(b->a)) (Rep1:(a->b)) (R2:(b->(b->Prop))) (Abs2:(b->a)) (Rep2:(a->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(c->c))) (Rep3:((c->c)->(d->d))), ((((quotient3_b_a R1) Abs1) Rep1)->((((quotient3_b_a R2) Abs2) Rep2)->((((quotient3_d_d_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu232832790_a_c_c ((map_fun_b_a_c_c_d_d Abs2) Rep3)) ((map_fu75729569_a_c_c ((map_fun_b_a_a_b Abs1) Rep2)) ((map_fun_a_b_d_d_c_c Rep1) Abs3))) comp_b_d_d_b)) comp_a_c_c_a)))))
% 1.31/1.51 FOF formula (forall (R1:(a->(a->Prop))) (Abs1:(a->b)) (Rep1:(b->a)) (R2:(a->(a->Prop))) (Abs2:(a->b)) (Rep2:(b->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(d->d))) (Rep3:((d->d)->(c->c))), ((((quotient3_a_b R1) Abs1) Rep1)->((((quotient3_a_b R2) Abs2) Rep2)->((((quotient3_c_c_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu981964822_b_d_d ((map_fun_a_b_d_d_c_c Abs2) Rep3)) ((map_fu1569200227_b_d_d ((map_fun_a_b_b_a Abs1) Rep2)) ((map_fun_b_a_c_c_d_d Rep1) Abs3))) comp_a_c_c_a)) comp_b_d_d_b))))) of role axiom named fact_303_o__prs_I1_J
% 1.31/1.51 A new axiom: (forall (R1:(a->(a->Prop))) (Abs1:(a->b)) (Rep1:(b->a)) (R2:(a->(a->Prop))) (Abs2:(a->b)) (Rep2:(b->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(d->d))) (Rep3:((d->d)->(c->c))), ((((quotient3_a_b R1) Abs1) Rep1)->((((quotient3_a_b R2) Abs2) Rep2)->((((quotient3_c_c_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu981964822_b_d_d ((map_fun_a_b_d_d_c_c Abs2) Rep3)) ((map_fu1569200227_b_d_d ((map_fun_a_b_b_a Abs1) Rep2)) ((map_fun_b_a_c_c_d_d Rep1) Abs3))) comp_a_c_c_a)) comp_b_d_d_b)))))
% 1.31/1.51 FOF formula (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(c->c))) (Rep3:((c->c)->(c->c))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((((quotient3_c_c_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu676564502_a_c_c ((map_fun_a_a_c_c_c_c Abs2) Rep3)) ((map_fu961723106_a_c_c ((map_fun_a_a_a_a Abs1) Rep2)) ((map_fun_a_a_c_c_c_c Rep1) Abs3))) comp_a_c_c_a)) comp_a_c_c_a))))) of role axiom named fact_304_o__prs_I1_J
% 1.31/1.51 A new axiom: (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(c->c))) (Rep3:((c->c)->(c->c))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((((quotient3_c_c_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu676564502_a_c_c ((map_fun_a_a_c_c_c_c Abs2) Rep3)) ((map_fu961723106_a_c_c ((map_fun_a_a_a_a Abs1) Rep2)) ((map_fun_a_a_c_c_c_c Rep1) Abs3))) comp_a_c_c_a)) comp_a_c_c_a)))))
% 1.31/1.52 FOF formula (forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)) (Fun:((d->d)->b)), (((eq (b->(d->d))) (((map_fun_b_b_b_d_d F) G) (((map_fun_b_d_d_b_b H) _TPTP_I) Fun))) (((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun))) of role axiom named fact_305_map__fun_Ocompositionality
% 1.31/1.52 A new axiom: (forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)) (Fun:((d->d)->b)), (((eq (b->(d->d))) (((map_fun_b_b_b_d_d F) G) (((map_fun_b_d_d_b_b H) _TPTP_I) Fun))) (((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun)))
% 1.31/1.52 FOF formula (forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)) (Fun:((d->d)->a)), (((eq (b->(c->c))) (((map_fun_b_b_a_c_c F) G) (((map_fun_b_d_d_a_a H) _TPTP_I) Fun))) (((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun))) of role axiom named fact_306_map__fun_Ocompositionality
% 1.31/1.52 A new axiom: (forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)) (Fun:((d->d)->a)), (((eq (b->(c->c))) (((map_fun_b_b_a_c_c F) G) (((map_fun_b_d_d_a_a H) _TPTP_I) Fun))) (((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun)))
% 1.31/1.52 FOF formula (forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)) (Fun:((c->c)->b)), (((eq (a->(d->d))) (((map_fun_a_a_b_d_d F) G) (((map_fun_a_c_c_b_b H) _TPTP_I) Fun))) (((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun))) of role axiom named fact_307_map__fun_Ocompositionality
% 1.31/1.52 A new axiom: (forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)) (Fun:((c->c)->b)), (((eq (a->(d->d))) (((map_fun_a_a_b_d_d F) G) (((map_fun_a_c_c_b_b H) _TPTP_I) Fun))) (((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun)))
% 1.31/1.52 FOF formula (forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)) (Fun:((c->c)->a)), (((eq (a->(c->c))) (((map_fun_a_a_a_c_c F) G) (((map_fun_a_c_c_a_a H) _TPTP_I) Fun))) (((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun))) of role axiom named fact_308_map__fun_Ocompositionality
% 1.31/1.52 A new axiom: (forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)) (Fun:((c->c)->a)), (((eq (a->(c->c))) (((map_fun_a_a_a_c_c F) G) (((map_fun_a_c_c_a_a H) _TPTP_I) Fun))) (((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun)))
% 1.31/1.52 FOF formula (forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)), (((eq (((d->d)->b)->(b->(d->d)))) ((comp_b_b_b_d_d_d_d_b ((map_fun_b_b_b_d_d F) G)) ((map_fun_b_d_d_b_b H) _TPTP_I))) ((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I)))) of role axiom named fact_309_map__fun_Ocomp
% 1.31/1.52 A new axiom: (forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)), (((eq (((d->d)->b)->(b->(d->d)))) ((comp_b_b_b_d_d_d_d_b ((map_fun_b_b_b_d_d F) G)) ((map_fun_b_d_d_b_b H) _TPTP_I))) ((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I))))
% 1.31/1.52 FOF formula (forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)), (((eq (((d->d)->a)->(b->(c->c)))) ((comp_b_a_b_c_c_d_d_a ((map_fun_b_b_a_c_c F) G)) ((map_fun_b_d_d_a_a H) _TPTP_I))) ((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I)))) of role axiom named fact_310_map__fun_Ocomp
% 1.31/1.52 A new axiom: (forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)), (((eq (((d->d)->a)->(b->(c->c)))) ((comp_b_a_b_c_c_d_d_a ((map_fun_b_b_a_c_c F) G)) ((map_fun_b_d_d_a_a H) _TPTP_I))) ((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I))))
% 1.31/1.52 FOF formula (forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)), (((eq (((c->c)->b)->(a->(d->d)))) ((comp_a_b_a_d_d_c_c_b ((map_fun_a_a_b_d_d F) G)) ((map_fun_a_c_c_b_b H) _TPTP_I))) ((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I)))) of role axiom named fact_311_map__fun_Ocomp
% 1.39/1.54 A new axiom: (forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)), (((eq (((c->c)->b)->(a->(d->d)))) ((comp_a_b_a_d_d_c_c_b ((map_fun_a_a_b_d_d F) G)) ((map_fun_a_c_c_b_b H) _TPTP_I))) ((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I))))
% 1.39/1.54 FOF formula (forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)), (((eq (((c->c)->a)->(a->(c->c)))) ((comp_a_a_a_c_c_c_c_a ((map_fun_a_a_a_c_c F) G)) ((map_fun_a_c_c_a_a H) _TPTP_I))) ((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I)))) of role axiom named fact_312_map__fun_Ocomp
% 1.39/1.54 A new axiom: (forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)), (((eq (((c->c)->a)->(a->(c->c)))) ((comp_a_a_a_c_c_c_c_a ((map_fun_a_a_a_c_c F) G)) ((map_fun_a_c_c_a_a H) _TPTP_I))) ((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I))))
% 1.39/1.54 FOF formula (((eq ((b->b)->((b->(d->d))->((b->b)->(b->(d->d)))))) map_fun_b_b_b_d_d) (fun (F2:(b->b)) (G2:(b->(d->d))) (H2:(b->b))=> ((comp_b_d_d_b ((comp_b_d_d_b G2) H2)) F2))) of role axiom named fact_313_map__fun__def
% 1.39/1.54 A new axiom: (((eq ((b->b)->((b->(d->d))->((b->b)->(b->(d->d)))))) map_fun_b_b_b_d_d) (fun (F2:(b->b)) (G2:(b->(d->d))) (H2:(b->b))=> ((comp_b_d_d_b ((comp_b_d_d_b G2) H2)) F2)))
% 1.39/1.54 FOF formula (((eq ((a->a)->((a->(c->c))->((a->a)->(a->(c->c)))))) map_fun_a_a_a_c_c) (fun (F2:(a->a)) (G2:(a->(c->c))) (H2:(a->a))=> ((comp_a_c_c_a ((comp_a_c_c_a G2) H2)) F2))) of role axiom named fact_314_map__fun__def
% 1.39/1.54 A new axiom: (((eq ((a->a)->((a->(c->c))->((a->a)->(a->(c->c)))))) map_fun_a_a_a_c_c) (fun (F2:(a->a)) (G2:(a->(c->c))) (H2:(a->a))=> ((comp_a_c_c_a ((comp_a_c_c_a G2) H2)) F2)))
% 1.39/1.54 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((((bNF_re2129955100_d_d_o ((bNF_re418251421_o_b_o A) ((bNF_rel_fun_a_b_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re674980784_d_d_o ((bNF_re781155241_d_d_o B) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple1702356924_a_c_c) comple61207421_b_d_d))) of role axiom named fact_315_monotone__parametric
% 1.39/1.54 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((((bNF_re2129955100_d_d_o ((bNF_re418251421_o_b_o A) ((bNF_rel_fun_a_b_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re674980784_d_d_o ((bNF_re781155241_d_d_o B) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple1702356924_a_c_c) comple61207421_b_d_d)))
% 1.39/1.54 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((((bNF_re921674337_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re27482973_d_d_o ((bNF_re391428377_o_d_o B) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple787379047ne_c_c) comple1615148455ne_d_d))) of role axiom named fact_316_monotone__parametric
% 1.39/1.54 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((((bNF_re921674337_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re27482973_d_d_o ((bNF_re391428377_o_d_o B) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple787379047ne_c_c) comple1615148455ne_d_d)))
% 1.39/1.54 FOF formula (forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R23:((d->d)->((d->d)->Prop))), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((forall (X2:(d->d)) (Y2:(d->d)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d R23) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2))))))) of role axiom named fact_317_OOO__quotient3
% 1.39/1.55 A new axiom: (forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R23:((d->d)->((d->d)->Prop))), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((forall (X2:(d->d)) (Y2:(d->d)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d R23) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2)))))))
% 1.39/1.55 FOF formula (forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R23:((c->c)->((c->c)->Prop))), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((forall (X2:(c->c)) (Y2:(c->c)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c R23) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2))))))) of role axiom named fact_318_OOO__quotient3
% 1.39/1.55 A new axiom: (forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R23:((c->c)->((c->c)->Prop))), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((forall (X2:(c->c)) (Y2:(c->c)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c R23) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2)))))))
% 1.39/1.55 FOF formula (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)) (R23:(b->(b->Prop))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d R2) Abs2) Rep2)->((forall (X2:b) (Y2:b), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b R23) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2))))))) of role axiom named fact_319_OOO__quotient3
% 1.39/1.55 A new axiom: (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)) (R23:(b->(b->Prop))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d R2) Abs2) Rep2)->((forall (X2:b) (Y2:b), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b R23) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2)))))))
% 1.39/1.55 FOF formula (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)) (R23:(a->(a->Prop))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c R2) Abs2) Rep2)->((forall (X2:a) (Y2:a), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a R23) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2))))))) of role axiom named fact_320_OOO__quotient3
% 1.39/1.55 A new axiom: (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)) (R23:(a->(a->Prop))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c R2) Abs2) Rep2)->((forall (X2:a) (Y2:a), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a R23) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2)))))))
% 1.39/1.56 FOF formula (forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (Abs2:(b->b)) (Rep2:(b->b)), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2))))) of role axiom named fact_321_OOO__eq__quotient3
% 1.39/1.56 A new axiom: (forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (Abs2:(b->b)) (Rep2:(b->b)), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2)))))
% 1.39/1.56 FOF formula (forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (Abs2:(a->a)) (Rep2:(a->a)), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2))))) of role axiom named fact_322_OOO__eq__quotient3
% 1.39/1.56 A new axiom: (forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (Abs2:(a->a)) (Rep2:(a->a)), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2)))))
% 1.39/1.56 FOF formula (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2))))) of role axiom named fact_323_OOO__eq__quotient3
% 1.39/1.56 A new axiom: (forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2)))))
% 1.39/1.56 FOF formula (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2))))) of role axiom named fact_324_OOO__eq__quotient3
% 1.39/1.56 A new axiom: (forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2)))))
% 1.39/1.56 FOF formula (((eq (Prop->(Prop->Prop))) rev_implies) (fun (X3:Prop) (Y3:Prop)=> (Y3->X3))) of role axiom named fact_325_rev__implies__def
% 1.39/1.56 A new axiom: (((eq (Prop->(Prop->Prop))) rev_implies) (fun (X3:Prop) (Y3:Prop)=> (Y3->X3)))
% 1.39/1.56 FOF formula (forall (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))) (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4)))) of role axiom named fact_326_pos__fun__distr
% 1.42/1.57 A new axiom: (forall (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))) (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))))
% 1.42/1.57 FOF formula (forall (R:(c->(c->Prop))) (S2:(c->(c->Prop))) (R5:(c->(d->Prop))) (S4:(c->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4)))) of role axiom named fact_327_pos__fun__distr
% 1.42/1.57 A new axiom: (forall (R:(c->(c->Prop))) (S2:(c->(c->Prop))) (R5:(c->(d->Prop))) (S4:(c->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))))
% 1.42/1.57 FOF formula (forall (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4)))) of role axiom named fact_328_pos__fun__distr
% 1.42/1.57 A new axiom: (forall (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))))
% 1.42/1.57 FOF formula (forall (R:(c->(d->Prop))) (S2:(c->(d->Prop))) (R5:(d->(d->Prop))) (S4:(d->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4)))) of role axiom named fact_329_pos__fun__distr
% 1.42/1.57 A new axiom: (forall (R:(c->(d->Prop))) (S2:(c->(d->Prop))) (R5:(d->(d->Prop))) (S4:(d->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))))
% 1.42/1.57 FOF formula (forall (C:(a->(b->Prop))) (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), (((ord_less_eq_a_b_o C) A)->(((ord_le1338099484_d_d_o B) D2)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d C) D2))))) of role axiom named fact_330_fun__mono
% 1.42/1.57 A new axiom: (forall (C:(a->(b->Prop))) (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), (((ord_less_eq_a_b_o C) A)->(((ord_le1338099484_d_d_o B) D2)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d C) D2)))))
% 1.42/1.57 FOF formula (forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (D2:(c->(d->Prop))), (((ord_less_eq_c_d_o C) A)->(((ord_less_eq_c_d_o B) D2)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d C) D2))))) of role axiom named fact_331_fun__mono
% 1.42/1.57 A new axiom: (forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (D2:(c->(d->Prop))), (((ord_less_eq_c_d_o C) A)->(((ord_less_eq_c_d_o B) D2)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d C) D2)))))
% 1.42/1.57 FOF formula (forall (R:(a->(a->Prop))) (R5:(a->(b->Prop))) (S2:((c->c)->((c->c)->Prop))) (S4:((c->c)->((d->d)->Prop))), ((left_unique_a_a R)->((right_total_a_a R)->((right_unique_a_b R5)->((left_total_a_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4)))))))) of role axiom named fact_332_neg__fun__distr1
% 1.42/1.57 A new axiom: (forall (R:(a->(a->Prop))) (R5:(a->(b->Prop))) (S2:((c->c)->((c->c)->Prop))) (S4:((c->c)->((d->d)->Prop))), ((left_unique_a_a R)->((right_total_a_a R)->((right_unique_a_b R5)->((left_total_a_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4))))))))
% 1.42/1.58 FOF formula (forall (R:(a->(b->Prop))) (R5:(b->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (S4:((d->d)->((d->d)->Prop))), ((left_unique_a_b R)->((right_total_a_b R)->((right_unique_b_b R5)->((left_total_b_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4)))))))) of role axiom named fact_333_neg__fun__distr1
% 1.42/1.58 A new axiom: (forall (R:(a->(b->Prop))) (R5:(b->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (S4:((d->d)->((d->d)->Prop))), ((left_unique_a_b R)->((right_total_a_b R)->((right_unique_b_b R5)->((left_total_b_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4))))))))
% 1.42/1.58 FOF formula (forall (R:(c->(c->Prop))) (R5:(c->(d->Prop))) (S2:(c->(c->Prop))) (S4:(c->(d->Prop))), ((left_unique_c_c R)->((right_total_c_c R)->((right_unique_c_d R5)->((left_total_c_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4)))))))) of role axiom named fact_334_neg__fun__distr1
% 1.42/1.58 A new axiom: (forall (R:(c->(c->Prop))) (R5:(c->(d->Prop))) (S2:(c->(c->Prop))) (S4:(c->(d->Prop))), ((left_unique_c_c R)->((right_total_c_c R)->((right_unique_c_d R5)->((left_total_c_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4))))))))
% 1.42/1.58 FOF formula (forall (R:(c->(d->Prop))) (R5:(d->(d->Prop))) (S2:(c->(d->Prop))) (S4:(d->(d->Prop))), ((left_unique_c_d R)->((right_total_c_d R)->((right_unique_d_d R5)->((left_total_d_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4)))))))) of role axiom named fact_335_neg__fun__distr1
% 1.42/1.58 A new axiom: (forall (R:(c->(d->Prop))) (R5:(d->(d->Prop))) (S2:(c->(d->Prop))) (S4:(d->(d->Prop))), ((left_unique_c_d R)->((right_total_c_d R)->((right_unique_d_d R5)->((left_total_d_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4))))))))
% 1.42/1.58 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_total_a_b A)->((right_unique_c_c_d_d B)->(right_2142487_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_336_right__unique__fun
% 1.42/1.58 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_total_a_b A)->((right_unique_c_c_d_d B)->(right_2142487_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.58 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_total_c_d A)->((right_unique_c_d B)->(right_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_337_right__unique__fun
% 1.42/1.58 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_total_c_d A)->((right_unique_c_d B)->(right_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.58 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_total_a_b A)->((left_unique_c_c_d_d B)->(left_u1654071760_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_338_left__unique__fun
% 1.42/1.58 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_total_a_b A)->((left_unique_c_c_d_d B)->(left_u1654071760_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.58 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_total_c_d A)->((left_unique_c_d B)->(left_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_339_left__unique__fun
% 1.42/1.58 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_total_c_d A)->((left_unique_c_d B)->(left_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.59 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_unique_a_b A)->((right_total_c_c_d_d B)->(right_386984928_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_340_right__total__fun
% 1.42/1.59 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_unique_a_b A)->((right_total_c_c_d_d B)->(right_386984928_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.59 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_unique_c_d A)->((right_total_c_d B)->(right_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_341_right__total__fun
% 1.42/1.59 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_unique_c_d A)->((right_total_c_d B)->(right_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.59 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_unique_a_b A)->((left_total_c_c_d_d B)->(left_t1993719015_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_342_left__total__fun
% 1.42/1.59 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_unique_a_b A)->((left_total_c_c_d_d B)->(left_t1993719015_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.59 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_unique_c_d A)->((left_total_c_d B)->(left_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_343_left__total__fun
% 1.42/1.59 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_unique_c_d A)->((left_total_c_d B)->(left_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.59 FOF formula (forall (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))) (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))), ((right_unique_a_b R5)->((left_total_a_b R5)->((left_unique_c_c_d_d S4)->((right_total_c_c_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4)))))))) of role axiom named fact_344_neg__fun__distr2
% 1.42/1.59 A new axiom: (forall (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))) (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))), ((right_unique_a_b R5)->((left_total_a_b R5)->((left_unique_c_c_d_d S4)->((right_total_c_c_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4))))))))
% 1.42/1.59 FOF formula (forall (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))) (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))), ((right_unique_b_b R5)->((left_total_b_b R5)->((left_unique_d_d_d_d S4)->((right_total_d_d_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4)))))))) of role axiom named fact_345_neg__fun__distr2
% 1.42/1.59 A new axiom: (forall (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))) (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))), ((right_unique_b_b R5)->((left_total_b_b R5)->((left_unique_d_d_d_d S4)->((right_total_d_d_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4))))))))
% 1.42/1.59 FOF formula (forall (R5:(c->(d->Prop))) (S4:(c->(d->Prop))) (R:(c->(c->Prop))) (S2:(c->(c->Prop))), ((right_unique_c_d R5)->((left_total_c_d R5)->((left_unique_c_d S4)->((right_total_c_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4)))))))) of role axiom named fact_346_neg__fun__distr2
% 1.42/1.59 A new axiom: (forall (R5:(c->(d->Prop))) (S4:(c->(d->Prop))) (R:(c->(c->Prop))) (S2:(c->(c->Prop))), ((right_unique_c_d R5)->((left_total_c_d R5)->((left_unique_c_d S4)->((right_total_c_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4))))))))
% 1.42/1.60 FOF formula (forall (R5:(d->(d->Prop))) (S4:(d->(d->Prop))) (R:(c->(d->Prop))) (S2:(c->(d->Prop))), ((right_unique_d_d R5)->((left_total_d_d R5)->((left_unique_d_d S4)->((right_total_d_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4)))))))) of role axiom named fact_347_neg__fun__distr2
% 1.42/1.60 A new axiom: (forall (R5:(d->(d->Prop))) (S4:(d->(d->Prop))) (R:(c->(d->Prop))) (S2:(c->(d->Prop))), ((right_unique_d_d R5)->((left_total_d_d R5)->((left_unique_d_d S4)->((right_total_d_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4))))))))
% 1.42/1.60 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((bi_unique_c_c_d_d B)->(bi_uni844770768_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_348_bi__unique__fun
% 1.42/1.60 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((bi_unique_c_c_d_d B)->(bi_uni844770768_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.60 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((bi_unique_c_d B)->(bi_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_349_bi__unique__fun
% 1.42/1.60 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((bi_unique_c_d B)->(bi_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.60 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((bi_total_c_c_d_d B)->(bi_total_a_c_c_b_d_d ((bNF_re802603882_c_d_d A) B))))) of role axiom named fact_350_bi__total__fun
% 1.42/1.60 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((bi_total_c_c_d_d B)->(bi_total_a_c_c_b_d_d ((bNF_re802603882_c_d_d A) B)))))
% 1.42/1.60 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((bi_total_c_d B)->(bi_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))) of role axiom named fact_351_bi__total__fun
% 1.42/1.60 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((bi_total_c_d B)->(bi_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B)))))
% 1.42/1.60 FOF formula (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((((bNF_re1424479610_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re1573878111_b_d_d A) ((bNF_re1145286186_b_d_d B) ((bNF_re802603882_c_d_d A) B)))) fun_upd_a_c_c) fun_upd_b_d_d))) of role axiom named fact_352_fun__upd__transfer
% 1.42/1.60 A new axiom: (forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((((bNF_re1424479610_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re1573878111_b_d_d A) ((bNF_re1145286186_b_d_d B) ((bNF_re802603882_c_d_d A) B)))) fun_upd_a_c_c) fun_upd_b_d_d)))
% 1.42/1.60 FOF formula (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((((bNF_re1941803873_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re822780063_d_d_d A) ((bNF_re1972258794_c_d_d B) ((bNF_rel_fun_c_d_c_d A) B)))) fun_upd_c_c) fun_upd_d_d))) of role axiom named fact_353_fun__upd__transfer
% 1.42/1.60 A new axiom: (forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((((bNF_re1941803873_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re822780063_d_d_d A) ((bNF_re1972258794_c_d_d B) ((bNF_rel_fun_c_d_c_d A) B)))) fun_upd_c_c) fun_upd_d_d)))
% 1.42/1.60 FOF formula (forall (X:a) (Y:a), (((eq a) (((if_a False) X) Y)) Y)) of role axiom named help_If_2_1_If_001tf__a_T
% 1.42/1.60 A new axiom: (forall (X:a) (Y:a), (((eq a) (((if_a False) X) Y)) Y))
% 1.42/1.60 FOF formula (forall (X:a) (Y:a), (((eq a) (((if_a True) X) Y)) X)) of role axiom named help_If_1_1_If_001tf__a_T
% 1.42/1.60 A new axiom: (forall (X:a) (Y:a), (((eq a) (((if_a True) X) Y)) X))
% 1.42/1.60 FOF formula (forall (X:b) (Y:b), (((eq b) (((if_b False) X) Y)) Y)) of role axiom named help_If_2_1_If_001tf__b_T
% 1.42/1.60 A new axiom: (forall (X:b) (Y:b), (((eq b) (((if_b False) X) Y)) Y))
% 1.42/1.60 FOF formula (forall (X:b) (Y:b), (((eq b) (((if_b True) X) Y)) X)) of role axiom named help_If_1_1_If_001tf__b_T
% 1.42/1.62 A new axiom: (forall (X:b) (Y:b), (((eq b) (((if_b True) X) Y)) X))
% 1.42/1.62 FOF formula (forall (X:c) (Y:c), (((eq c) (((if_c False) X) Y)) Y)) of role axiom named help_If_2_1_If_001tf__c_T
% 1.42/1.62 A new axiom: (forall (X:c) (Y:c), (((eq c) (((if_c False) X) Y)) Y))
% 1.42/1.62 FOF formula (forall (X:c) (Y:c), (((eq c) (((if_c True) X) Y)) X)) of role axiom named help_If_1_1_If_001tf__c_T
% 1.42/1.62 A new axiom: (forall (X:c) (Y:c), (((eq c) (((if_c True) X) Y)) X))
% 1.42/1.62 FOF formula (forall (P:Prop), ((or (((eq Prop) P) True)) (((eq Prop) P) False))) of role axiom named help_If_3_1_If_001tf__d_T
% 1.42/1.62 A new axiom: (forall (P:Prop), ((or (((eq Prop) P) True)) (((eq Prop) P) False)))
% 1.42/1.62 FOF formula (forall (X:d) (Y:d), (((eq d) (((if_d False) X) Y)) Y)) of role axiom named help_If_2_1_If_001tf__d_T
% 1.42/1.62 A new axiom: (forall (X:d) (Y:d), (((eq d) (((if_d False) X) Y)) Y))
% 1.42/1.62 FOF formula (forall (X:d) (Y:d), (((eq d) (((if_d True) X) Y)) X)) of role axiom named help_If_1_1_If_001tf__d_T
% 1.42/1.62 A new axiom: (forall (X:d) (Y:d), (((eq d) (((if_d True) X) Y)) X))
% 1.42/1.62 FOF formula (finite746615251te_a_c f1) of role conjecture named conj_0
% 1.42/1.62 Conjecture to prove = (finite746615251te_a_c f1):Prop
% 1.42/1.62 Parameter multiset_b_DUMMY:multiset_b.
% 1.42/1.62 Parameter multiset_a_DUMMY:multiset_a.
% 1.42/1.62 Parameter fset_b_DUMMY:fset_b.
% 1.42/1.62 Parameter fset_a_DUMMY:fset_a.
% 1.42/1.62 Parameter set_d_DUMMY:set_d.
% 1.42/1.62 Parameter set_c_DUMMY:set_c.
% 1.42/1.62 Parameter set_b_DUMMY:set_b.
% 1.42/1.62 Parameter set_a_DUMMY:set_a.
% 1.42/1.62 Parameter d_DUMMY:d.
% 1.42/1.62 Parameter c_DUMMY:c.
% 1.42/1.62 Parameter b_DUMMY:b.
% 1.42/1.62 Parameter a_DUMMY:a.
% 1.42/1.62 We need to prove ['(finite746615251te_a_c f1)']
% 1.42/1.62 Parameter multiset_b:Type.
% 1.42/1.62 Parameter multiset_a:Type.
% 1.42/1.62 Parameter fset_b:Type.
% 1.42/1.62 Parameter fset_a:Type.
% 1.42/1.62 Parameter set_d:Type.
% 1.42/1.62 Parameter set_c:Type.
% 1.42/1.62 Parameter set_b:Type.
% 1.42/1.62 Parameter set_a:Type.
% 1.42/1.62 Parameter d:Type.
% 1.42/1.62 Parameter c:Type.
% 1.42/1.62 Parameter b:Type.
% 1.42/1.62 Parameter a:Type.
% 1.42/1.62 Parameter bNF_re19414301_d_d_o:((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->((((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop)))->Prop)))).
% 1.42/1.62 Parameter bNF_re674980784_d_d_o:((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->((((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->Prop))->((((d->d)->((d->d)->Prop))->((b->(d->d))->Prop))->Prop)))).
% 1.42/1.62 Parameter bNF_re1867846365_a_a_o:((((c->c)->((c->c)->Prop))->((a->(a->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->a)->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop)))).
% 1.42/1.62 Parameter bNF_re708047067_a_b_o:((((c->c)->((c->c)->Prop))->((a->(b->Prop))->Prop))->((((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->b)->Prop))->Prop))->((((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop)))).
% 1.42/1.62 Parameter bNF_re145798749_a_a_o:((((c->c)->((d->d)->Prop))->((a->(a->Prop))->Prop))->((((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->a)->Prop))->Prop))->((((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop)))).
% 1.42/1.62 Parameter bNF_re1133483099_a_b_o:((((c->c)->((d->d)->Prop))->((a->(b->Prop))->Prop))->((((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->b)->Prop))->Prop))->((((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop)))).
% 1.42/1.62 Parameter bNF_re141854397_b_d_d:((((c->c)->(c->c))->(((d->d)->(d->d))->Prop))->((((a->(c->c))->(a->(c->c)))->(((b->(d->d))->(b->(d->d)))->Prop))->((((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))->((((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))->Prop)))).
% 1.42/1.62 Parameter bNF_re35019871_b_d_d:((((c->c)->a)->(((d->d)->b)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->((((c->c)->a)->(a->(c->c)))->((((d->d)->b)->(b->(d->d)))->Prop)))).
% 1.42/1.62 Parameter bNF_re1177671453_a_a_a:((((c->c)->a)->((a->a)->Prop))->((((c->c)->a)->((a->a)->Prop))->((((c->c)->a)->((c->c)->a))->(((a->a)->(a->a))->Prop)))).
% 1.42/1.63 Parameter bNF_re1238578079_d_d_d:((((c->c)->c)->(((d->d)->d)->Prop))->((((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop))->((((c->c)->c)->((a->(c->c))->(c->c)))->((((d->d)->d)->((b->(d->d))->(d->d)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1209333166_c_b_d:((((c->c)->c)->(((d->d)->d)->Prop))->(((a->c)->((b->d)->Prop))->((((c->c)->c)->(a->c))->((((d->d)->d)->(b->d))->Prop)))).
% 1.42/1.63 Parameter bNF_re323253981_b_b_b:((((d->d)->b)->((b->b)->Prop))->((((d->d)->b)->((b->b)->Prop))->((((d->d)->b)->((d->d)->b))->(((b->b)->(b->b))->Prop)))).
% 1.42/1.63 Parameter bNF_re1403739741_a_a_o:(((a->(a->Prop))->((a->(a->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1165460699_a_b_o:(((a->(a->Prop))->((a->(b->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1310167325_a_a_o:(((a->(a->Prop))->((b->(a->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->b)->((a->a)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((b->(a->Prop))->((a->b)->((a->a)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re2129955100_d_d_o:(((a->(a->Prop))->((b->(b->Prop))->Prop))->(((((c->c)->((c->c)->Prop))->((a->(c->c))->Prop))->((((d->d)->((d->d)->Prop))->((b->(d->d))->Prop))->Prop))->(((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->Prop)))->(((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1071888283_a_b_o:(((a->(a->Prop))->((b->(b->Prop))->Prop))->((((a->a)->((a->a)->Prop))->(((a->b)->((a->b)->Prop))->Prop))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->(((b->(b->Prop))->((a->b)->((a->b)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re231976415_a_a_o:(((a->(b->Prop))->((a->(a->Prop))->Prop))->((((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->Prop))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->(((a->(a->Prop))->((a->a)->((a->a)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re2141181021_a_b_o:(((a->(b->Prop))->((a->(b->Prop))->Prop))->((((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->Prop))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->(((a->(b->Prop))->((a->a)->((a->b)->Prop)))->Prop)))).
% 1.42/1.63 Parameter bNF_re880840541_a_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((a->a)->(a->(c->c)))->(((a->a)->(a->(c->c)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1311853791_b_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((a->a)->(a->(c->c)))->(((b->a)->(b->(c->c)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((a->(c->c))->((b->a)->(b->(c->c))))->Prop)))).
% 1.42/1.63 Parameter bNF_re978949211_a_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((b->a)->(b->(c->c)))->(((a->a)->(a->(c->c)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1409962461_b_c_c:(((a->(c->c))->((a->(c->c))->Prop))->((((b->a)->(b->(c->c)))->(((b->a)->(b->(c->c)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((a->(c->c))->((b->a)->(b->(c->c))))->Prop)))).
% 1.42/1.63 Parameter bNF_re27458217_c_c_c:(((a->(c->c))->((a->(c->c))->Prop))->(((c->c)->((c->c)->Prop))->(((a->(c->c))->(c->c))->(((a->(c->c))->(c->c))->Prop)))).
% 1.42/1.63 Parameter bNF_re1955249705_c_d_d:(((a->(c->c))->((a->(d->d))->Prop))->(((c->c)->((d->d)->Prop))->(((a->(c->c))->(c->c))->(((a->(d->d))->(d->d))->Prop)))).
% 1.42/1.63 Parameter bNF_re1684125987_a_a_o:(((a->(c->c))->((a->a)->Prop))->((((a->(c->c))->Prop)->(((a->a)->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->a)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re364411746_a_b_o:(((a->(c->c))->((a->a)->Prop))->((((a->(c->c))->Prop)->(((a->b)->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->((a->b)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re1652452067_a_a_o:(((a->(c->c))->((a->a)->Prop))->((((a->(d->d))->Prop)->(((a->a)->Prop)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->a)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re332737826_a_b_o:(((a->(c->c))->((a->a)->Prop))->((((a->(d->d))->Prop)->(((a->b)->Prop)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->((a->b)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re2074539676_a_o_o:(((a->(c->c))->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((a->a)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re1256092317_b_o_o:(((a->(c->c))->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((a->b)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re387831090_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((((c->c)->a)->(a->(c->c)))->((((d->d)->b)->(b->(d->d)))->Prop))->(((a->(c->c))->(((c->c)->a)->(a->(c->c))))->(((b->(d->d))->(((d->d)->b)->(b->(d->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re364486559_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->(c->c))->(((c->c)->a)->(a->(c->c))))->(((b->(d->d))->(((d->d)->b)->(b->(d->d))))->Prop))->(((a->(c->c))->((a->(c->c))->(((c->c)->a)->(a->(c->c)))))->(((b->(d->d))->((b->(d->d))->(((d->d)->b)->(b->(d->d)))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1855937521_d_d_o:(((a->(c->c))->((b->(d->d))->Prop))->((((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re631104669_a_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->a)->(a->(c->c)))->(((a->b)->(a->(d->d)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((b->(d->d))->((a->b)->(a->(d->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1062117919_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((a->a)->(a->(c->c)))->(((b->b)->(b->(d->d)))->Prop))->(((a->(c->c))->((a->a)->(a->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1160226589_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((b->a)->(b->(c->c)))->(((b->b)->(b->(d->d)))->Prop))->(((a->(c->c))->((b->a)->(b->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re2120361759_d_d_d:(((a->(c->c))->((b->(d->d))->Prop))->((((c->a)->(c->(c->c)))->(((d->b)->(d->(d->d)))->Prop))->(((a->(c->c))->((c->a)->(c->(c->c))))->(((b->(d->d))->((d->b)->(d->(d->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re727696351_d_b_d:(((a->(c->c))->((b->(d->d))->Prop))->((((c->c)->(((c->c)->c)->(a->c)))->(((d->d)->(((d->d)->d)->(b->d)))->Prop))->(((a->(c->c))->((c->c)->(((c->c)->c)->(a->c))))->(((b->(d->d))->((d->d)->(((d->d)->d)->(b->d))))->Prop)))).
% 1.42/1.63 Parameter bNF_re1424479610_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((a->((c->c)->(a->(c->c))))->((b->((d->d)->(b->(d->d))))->Prop))->(((a->(c->c))->(a->((c->c)->(a->(c->c)))))->(((b->(d->d))->(b->((d->d)->(b->(d->d)))))->Prop)))).
% 1.42/1.63 Parameter bNF_re692482399_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->(a->(c->c)))->(((b->(d->d))->(b->(d->d)))->Prop)))).
% 1.42/1.63 Parameter bNF_re84044842_c_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((c->c)->((d->d)->Prop))->(((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop)))).
% 1.42/1.63 Parameter bNF_re1501709470_d_o_o:(((a->(c->c))->((b->(d->d))->Prop))->((Prop->(Prop->Prop))->(((a->(c->c))->Prop)->(((b->(d->d))->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re1620723804_a_o_o:(((a->(d->d))->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->(d->d))->Prop)->(((a->a)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re802276445_b_o_o:(((a->(d->d))->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->(d->d))->Prop)->(((a->b)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re1503602041_a_a_a:(((a->a)->((a->a)->Prop))->(((((c->c)->a)->((c->c)->a))->(((a->a)->(a->a))->Prop))->(((a->a)->(((c->c)->a)->((c->c)->a)))->(((a->a)->((a->a)->(a->a)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1258259453_a_a_a:(((a->a)->((a->a)->Prop))->((((a->a)->(a->a))->(((a->a)->(a->a))->Prop))->(((a->a)->((a->a)->(a->a)))->(((a->a)->((a->a)->(a->a)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1900831913_a_a_o:(((a->a)->((a->a)->Prop))->((((a->a)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re581117672_a_b_o:(((a->a)->((a->a)->Prop))->((((a->a)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re984549674_a_a_o:(((a->a)->((a->a)->Prop))->((((a->b)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re1812319081_a_b_o:(((a->a)->((a->a)->Prop))->((((a->b)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re1691224489_a_c_c:(((a->a)->((a->a)->Prop))->(((a->(c->c))->((a->(c->c))->Prop))->(((a->a)->(a->(c->c)))->(((a->a)->(a->(c->c)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1690311157_a_a_a:(((a->a)->((a->a)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->(a->a))->(((a->a)->(a->a))->Prop)))).
% 1.42/1.63 Parameter bNF_re1698572662_a_a_b:(((a->a)->((a->a)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->(a->a))->(((a->a)->(a->b))->Prop)))).
% 1.42/1.63 Parameter bNF_re134330537_a_o_o:(((a->a)->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->a)->Prop)->(((a->a)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re571457705_a_a_a:(((a->a)->((a->a)->Prop))->((a->(a->Prop))->(((a->a)->a)->(((a->a)->a)->Prop)))).
% 1.42/1.63 Parameter bNF_re1514436479_a_a_b:(((a->a)->((a->b)->Prop))->((((a->a)->(a->a))->(((a->a)->(a->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((a->b)->((a->a)->(a->b)))->Prop)))).
% 1.42/1.63 Parameter bNF_re390230442_a_a_o:(((a->a)->((a->b)->Prop))->((((a->a)->Prop)->(((a->a)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->b)->((a->a)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re1217999849_a_b_o:(((a->a)->((a->b)->Prop))->((((a->a)->Prop)->(((a->b)->Prop)->Prop))->(((a->a)->((a->a)->Prop))->(((a->b)->((a->b)->Prop))->Prop)))).
% 1.42/1.63 Parameter bNF_re1787520874_a_d_d:(((a->a)->((a->b)->Prop))->(((a->(c->c))->((a->(d->d))->Prop))->(((a->a)->(a->(c->c)))->(((a->b)->(a->(d->d)))->Prop)))).
% 1.42/1.63 Parameter bNF_re857382262_a_a_a:(((a->a)->((a->b)->Prop))->(((a->a)->((a->a)->Prop))->(((a->a)->(a->a))->(((a->b)->(a->a))->Prop)))).
% 1.42/1.63 Parameter bNF_re865643767_a_a_b:(((a->a)->((a->b)->Prop))->(((a->a)->((a->b)->Prop))->(((a->a)->(a->a))->(((a->b)->(a->b))->Prop)))).
% 1.42/1.63 Parameter bNF_re1463366826_b_o_o:(((a->a)->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->a)->Prop)->(((a->b)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re473406379_b_a_b:(((a->a)->((a->b)->Prop))->((a->(b->Prop))->(((a->a)->a)->(((a->b)->b)->Prop)))).
% 1.42/1.63 Parameter bNF_re539937469_b_a_a:(((a->a)->((b->a)->Prop))->((((a->a)->(a->a))->(((a->b)->(a->a))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->a)->((a->b)->(a->a)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1665173865_b_c_c:(((a->a)->((b->a)->Prop))->(((a->(c->c))->((b->(c->c))->Prop))->(((a->a)->(a->(c->c)))->(((b->a)->(b->(c->c)))->Prop)))).
% 1.42/1.63 Parameter bNF_re932551557_b_d_d:(((a->a)->((b->b)->Prop))->(((((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))->((((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))->Prop))->(((a->a)->(((c->c)->(c->c))->((a->(c->c))->(a->(c->c)))))->(((b->b)->(((d->d)->(d->d))->((b->(d->d))->(b->(d->d)))))->Prop)))).
% 1.42/1.63 Parameter bNF_re796114495_b_a_b:(((a->a)->((b->b)->Prop))->((((a->a)->(a->a))->(((a->b)->(a->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->b)->((a->b)->(a->b)))->Prop)))).
% 1.42/1.63 Parameter bNF_re835672381_b_b_b:(((a->a)->((b->b)->Prop))->((((a->a)->(a->a))->(((b->b)->(b->b))->Prop))->(((a->a)->((a->a)->(a->a)))->(((b->b)->((b->b)->(b->b)))->Prop)))).
% 1.42/1.63 Parameter bNF_re774352699_b_b_b:(((a->a)->((b->b)->Prop))->((((b->a)->(b->a))->(((b->b)->(b->b))->Prop))->(((a->a)->((b->a)->(b->a)))->(((b->b)->((b->b)->(b->b)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1761470250_b_d_d:(((a->a)->((b->b)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((a->a)->(a->(c->c)))->(((b->b)->(b->(d->d)))->Prop)))).
% 1.42/1.63 Parameter bNF_re1307884917_a_b_b:(((a->a)->((b->b)->Prop))->(((a->a)->((b->b)->Prop))->(((a->a)->(a->a))->(((b->b)->(b->b))->Prop)))).
% 1.42/1.63 Parameter bNF_re2087760490_b_a_b:(((a->a)->((b->b)->Prop))->((a->(b->Prop))->(((a->a)->a)->(((b->b)->b)->Prop)))).
% 1.42/1.63 Parameter bNF_re1906994858_a_o_o:(((a->b)->((a->a)->Prop))->((Prop->(Prop->Prop))->(((a->b)->Prop)->(((a->a)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re1088547499_b_o_o:(((a->b)->((a->b)->Prop))->((Prop->(Prop->Prop))->(((a->b)->Prop)->(((a->b)->Prop)->Prop)))).
% 1.42/1.63 Parameter bNF_re1606289753_b_d_d:(((a->c)->((b->d)->Prop))->((((c->(c->c))->((c->c)->(a->(c->c))))->(((d->(d->d))->((d->d)->(b->(d->d))))->Prop))->(((a->c)->((c->(c->c))->((c->c)->(a->(c->c)))))->(((b->d)->((d->(d->d))->((d->d)->(b->(d->d)))))->Prop)))).
% 1.42/1.63 Parameter bNF_re561231771_a_c_c:(((b->(d->d))->((a->(c->c))->Prop))->((((b->b)->(b->(d->d)))->(((a->a)->(a->(c->c)))->Prop))->(((b->(d->d))->((b->b)->(b->(d->d))))->(((a->(c->c))->((a->a)->(a->(c->c))))->Prop)))).
% 1.42/1.64 Parameter bNF_re742509149_b_d_d:(((b->(d->d))->((b->(d->d))->Prop))->((((b->b)->(b->(d->d)))->(((b->b)->(b->(d->d)))->Prop))->(((b->(d->d))->((b->b)->(b->(d->d))))->(((b->(d->d))->((b->b)->(b->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re1591514407_a_c_c:(((b->a)->((a->a)->Prop))->(((b->(c->c))->((a->(c->c))->Prop))->(((b->a)->(b->(c->c)))->(((a->a)->(a->(c->c)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1565463783_b_c_c:(((b->a)->((b->a)->Prop))->(((b->(c->c))->((b->(c->c))->Prop))->(((b->a)->(b->(c->c)))->(((b->a)->(b->(c->c)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1661760168_b_d_d:(((b->a)->((b->b)->Prop))->(((b->(c->c))->((b->(d->d))->Prop))->(((b->a)->(b->(c->c)))->(((b->b)->(b->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re668686835_a_b_b:(((b->a)->((b->b)->Prop))->(((b->a)->((b->b)->Prop))->(((b->a)->(b->a))->(((b->b)->(b->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re1794062813_d_d_b:(((b->b)->(((d->d)->b)->Prop))->(((b->b)->(((d->d)->b)->Prop))->(((b->b)->(b->b))->((((d->d)->b)->((d->d)->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re1645058365_a_a_a:(((b->b)->((a->a)->Prop))->((((b->b)->(b->b))->(((a->a)->(a->a))->Prop))->(((b->b)->((b->b)->(b->b)))->(((a->a)->((a->a)->(a->a)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1342462312_a_c_c:(((b->b)->((a->a)->Prop))->(((b->(d->d))->((a->(c->c))->Prop))->(((b->b)->(b->(d->d)))->(((a->a)->(a->(c->c)))->Prop)))).
% 1.42/1.64 Parameter bNF_re310361461_b_a_a:(((b->b)->((a->a)->Prop))->(((b->b)->((a->a)->Prop))->(((b->b)->(b->b))->(((a->a)->(a->a))->Prop)))).
% 1.42/1.64 Parameter bNF_re1138812345_b_b_b:(((b->b)->((b->b)->Prop))->(((((d->d)->b)->((d->d)->b))->(((b->b)->(b->b))->Prop))->(((b->b)->(((d->d)->b)->((d->d)->b)))->(((b->b)->((b->b)->(b->b)))->Prop)))).
% 1.42/1.64 Parameter bNF_re961930425_d_d_b:(((b->b)->((b->b)->Prop))->((((b->b)->(b->b))->((((d->d)->b)->((d->d)->b))->Prop))->(((b->b)->((b->b)->(b->b)))->(((b->b)->(((d->d)->b)->((d->d)->b)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1222471293_b_b_b:(((b->b)->((b->b)->Prop))->((((b->b)->(b->b))->(((b->b)->(b->b))->Prop))->(((b->b)->((b->b)->(b->b)))->(((b->b)->((b->b)->(b->b)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1412708073_b_d_d:(((b->b)->((b->b)->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->(((b->b)->(b->(d->d)))->(((b->b)->(b->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re2075418869_b_b_b:(((b->b)->((b->b)->Prop))->(((b->b)->((b->b)->Prop))->(((b->b)->(b->b))->(((b->b)->(b->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re921674337_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->(c->Prop))->((c->c)->Prop))->(((d->(d->Prop))->((d->d)->Prop))->Prop))->(((c->(c->Prop))->((c->(c->Prop))->((c->c)->Prop)))->(((d->(d->Prop))->((d->(d->Prop))->((d->d)->Prop)))->Prop)))).
% 1.42/1.64 Parameter bNF_re764708765_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop))->(((c->(c->Prop))->((c->c)->((c->c)->Prop)))->(((d->(d->Prop))->((d->d)->((d->d)->Prop)))->Prop)))).
% 1.42/1.64 Parameter bNF_re27482973_d_d_o:(((c->(c->Prop))->((d->(d->Prop))->Prop))->((((c->c)->Prop)->(((d->d)->Prop)->Prop))->(((c->(c->Prop))->((c->c)->Prop))->(((d->(d->Prop))->((d->d)->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1507718559_b_d_d:(((c->(c->c))->((d->(d->d))->Prop))->((((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop))->(((c->(c->c))->((c->c)->(a->(c->c))))->(((d->(d->d))->((d->d)->(b->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re1164948833_d_d_d:(((c->a)->((d->b)->Prop))->(((((c->c)->c)->((a->(c->c))->(c->c)))->((((d->d)->d)->((b->(d->d))->(d->d)))->Prop))->(((c->a)->(((c->c)->c)->((a->(c->c))->(c->c))))->(((d->b)->(((d->d)->d)->((b->(d->d))->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re1509948838_d_d_d:(((c->a)->((d->b)->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->(((c->a)->(c->(c->c)))->(((d->b)->(d->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re335372010_d_b_d:(((c->c)->((d->d)->Prop))->(((((c->c)->c)->(a->c))->((((d->d)->d)->(b->d))->Prop))->(((c->c)->(((c->c)->c)->(a->c)))->(((d->d)->(((d->d)->d)->(b->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1709888353_d_d_d:(((c->c)->((d->d)->Prop))->((((a->(c->c))->((c->a)->(c->(c->c))))->(((b->(d->d))->((d->b)->(d->(d->d))))->Prop))->(((c->c)->((a->(c->c))->((c->a)->(c->(c->c)))))->(((d->d)->((b->(d->d))->((d->b)->(d->(d->d)))))->Prop)))).
% 1.42/1.64 Parameter bNF_re888371717_d_d_d:(((c->c)->((d->d)->Prop))->((((c->c)->((c->c)->(c->c)))->(((d->d)->((d->d)->(d->d)))->Prop))->(((c->c)->((c->c)->((c->c)->(c->c))))->(((d->d)->((d->d)->((d->d)->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re764096061_d_d_d:(((c->c)->((d->d)->Prop))->((((c->c)->(c->c))->(((d->d)->(d->d))->Prop))->(((c->c)->((c->c)->(c->c)))->(((d->d)->((d->d)->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re781155241_d_d_o:(((c->c)->((d->d)->Prop))->((((c->c)->Prop)->(((d->d)->Prop)->Prop))->(((c->c)->((c->c)->Prop))->(((d->d)->((d->d)->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1145286186_b_d_d:(((c->c)->((d->d)->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->(((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1941803873_d_d_d:(((c->c)->((d->d)->Prop))->(((c->(c->(c->c)))->((d->(d->(d->d)))->Prop))->(((c->c)->(c->(c->(c->c))))->(((d->d)->(d->(d->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re2078100341_c_d_d:(((c->c)->((d->d)->Prop))->(((c->c)->((d->d)->Prop))->(((c->c)->(c->c))->(((d->d)->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_re857878889_d_o_o:(((c->c)->((d->d)->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->(((d->d)->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_re1795127658_d_a_b:(((c->c)->((d->d)->Prop))->((a->(b->Prop))->(((c->c)->a)->(((d->d)->b)->Prop)))).
% 1.42/1.64 Parameter bNF_re1303182826_d_c_d:(((c->c)->((d->d)->Prop))->((c->(d->Prop))->(((c->c)->c)->(((d->d)->d)->Prop)))).
% 1.42/1.64 Parameter bNF_re1450278895_o_a_o:(((c->c)->(a->Prop))->((((c->c)->Prop)->((a->Prop)->Prop))->(((c->c)->((c->c)->Prop))->((a->(a->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re2038641070_o_b_o:(((c->c)->(a->Prop))->((((c->c)->Prop)->((b->Prop)->Prop))->(((c->c)->((c->c)->Prop))->((a->(b->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1306877487_o_a_o:(((c->c)->(a->Prop))->((((d->d)->Prop)->((a->Prop)->Prop))->(((c->c)->((d->d)->Prop))->((a->(a->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1895239662_o_b_o:(((c->c)->(a->Prop))->((((d->d)->Prop)->((b->Prop)->Prop))->(((c->c)->((d->d)->Prop))->((a->(b->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re883196986_a_o_o:(((c->c)->(a->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->((a->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_re1424579386_a_a_a:(((c->c)->(a->Prop))->((a->(a->Prop))->(((c->c)->a)->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_re90976443_b_o_o:(((c->c)->(b->Prop))->((Prop->(Prop->Prop))->(((c->c)->Prop)->((b->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_re991543930_a_o_o:(((d->d)->(a->Prop))->((Prop->(Prop->Prop))->(((d->d)->Prop)->((a->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_re199323387_b_o_o:(((d->d)->(b->Prop))->((Prop->(Prop->Prop))->(((d->d)->Prop)->((b->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_re1703323451_b_b_b:(((d->d)->(b->Prop))->((b->(b->Prop))->(((d->d)->b)->((b->b)->Prop)))).
% 1.42/1.64 Parameter bNF_re1705765981_a_a_a:((Prop->(Prop->Prop))->(((a->(a->a))->((a->(a->a))->Prop))->((Prop->(a->(a->a)))->((Prop->(a->(a->a)))->Prop)))).
% 1.42/1.64 Parameter bNF_re588060702_b_b_b:((Prop->(Prop->Prop))->(((a->(a->a))->((b->(b->b))->Prop))->((Prop->(a->(a->a)))->((Prop->(b->(b->b)))->Prop)))).
% 1.42/1.64 Parameter bNF_re647211934_d_d_d:((Prop->(Prop->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->((Prop->(c->(c->c)))->((Prop->(d->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1482032989_c_c_c:((a->(a->Prop))->((((a->(c->c))->(c->c))->(((a->(c->c))->(c->c))->Prop))->((a->((a->(c->c))->(c->c)))->((a->((a->(c->c))->(c->c)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1391160029_d_d_d:((a->(a->Prop))->((((a->(c->c))->(c->c))->(((a->(d->d))->(d->d))->Prop))->((a->((a->(c->c))->(c->c)))->((a->((a->(d->d))->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re865741149_a_a_a:((a->(a->Prop))->((((a->a)->a)->(((a->a)->a)->Prop))->((a->((a->a)->a))->((a->((a->a)->a))->Prop)))).
% 1.42/1.64 Parameter bNF_re1093913501_a_b_b:((a->(a->Prop))->((((a->a)->a)->(((a->b)->b)->Prop))->((a->((a->a)->a))->((a->((a->b)->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re1690123229_o_a_o:((a->(a->Prop))->(((a->Prop)->((a->Prop)->Prop))->((a->(a->Prop))->((a->(a->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re131001756_o_b_o:((a->(a->Prop))->(((a->Prop)->((b->Prop)->Prop))->((a->(a->Prop))->((a->(b->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re911029929_a_a_a:((a->(a->Prop))->(((a->a)->((a->a)->Prop))->((a->(a->a))->((a->(a->a))->Prop)))).
% 1.42/1.64 Parameter bNF_re1809376028_o_a_o:((a->(a->Prop))->(((b->Prop)->((a->Prop)->Prop))->((a->(b->Prop))->((a->(a->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re250254555_o_b_o:((a->(a->Prop))->(((b->Prop)->((b->Prop)->Prop))->((a->(b->Prop))->((a->(b->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1143700905_c_c_c:((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop)))).
% 1.42/1.64 Parameter bNF_re1979731817_c_d_d:((a->(a->Prop))->(((c->c)->((d->d)->Prop))->((a->(c->c))->((a->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_re950444090_c_c_a:((a->(a->Prop))->(((c->c)->(a->Prop))->((a->(c->c))->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_re950444091_c_c_b:((a->(a->Prop))->(((c->c)->(b->Prop))->((a->(c->c))->((a->b)->Prop)))).
% 1.42/1.64 Parameter bNF_re2038021754_d_d_a:((a->(a->Prop))->(((d->d)->(a->Prop))->((a->(d->d))->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_re2038021755_d_d_b:((a->(a->Prop))->(((d->d)->(b->Prop))->((a->(d->d))->((a->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_a_o_o:((a->(a->Prop))->((Prop->(Prop->Prop))->((a->Prop)->((a->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_a_a_a:((a->(a->Prop))->((a->(a->Prop))->((a->a)->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_a_a_b:((a->(a->Prop))->((a->(b->Prop))->((a->a)->((a->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_a_b_a:((a->(a->Prop))->((b->(a->Prop))->((a->b)->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_a_b_b:((a->(a->Prop))->((b->(b->Prop))->((a->b)->((a->b)->Prop)))).
% 1.42/1.64 Parameter bNF_re1327926367_d_d_d:((a->(b->Prop))->((((a->(c->c))->(c->c))->(((b->(d->d))->(d->d))->Prop))->((a->((a->(c->c))->(c->c)))->((b->((b->(d->d))->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re1730737055_b_b_b:((a->(b->Prop))->((((a->a)->a)->(((b->b)->b)->Prop))->((a->((a->a)->a))->((b->((b->b)->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re1573878111_b_d_d:((a->(b->Prop))->((((c->c)->(a->(c->c)))->(((d->d)->(b->(d->d)))->Prop))->((a->((c->c)->(a->(c->c))))->((b->((d->d)->(b->(d->d))))->Prop)))).
% 1.42/1.64 Parameter bNF_re1977372894_o_a_o:((a->(b->Prop))->(((a->Prop)->((a->Prop)->Prop))->((a->(a->Prop))->((b->(a->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re418251421_o_b_o:((a->(b->Prop))->(((a->Prop)->((b->Prop)->Prop))->((a->(a->Prop))->((b->(b->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re569932906_a_b_b:((a->(b->Prop))->(((a->a)->((b->b)->Prop))->((a->(a->a))->((b->(b->b))->Prop)))).
% 1.42/1.64 Parameter bNF_re2114056618_c_c_c:((a->(b->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->((b->(c->c))->Prop)))).
% 1.42/1.64 Parameter bNF_re802603882_c_d_d:((a->(b->Prop))->(((c->c)->((d->d)->Prop))->((a->(c->c))->((b->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_b_o_o:((a->(b->Prop))->((Prop->(Prop->Prop))->((a->Prop)->((b->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_b_a_a:((a->(b->Prop))->((a->(a->Prop))->((a->a)->((b->a)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_b_a_b:((a->(b->Prop))->((a->(b->Prop))->((a->a)->((b->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_a_b_c_d:((a->(b->Prop))->((c->(d->Prop))->((a->c)->((b->d)->Prop)))).
% 1.42/1.64 Parameter bNF_re1573506119_d_b_b:((b->((d->d)->Prop))->((b->(b->Prop))->((b->b)->(((d->d)->b)->Prop)))).
% 1.42/1.64 Parameter bNF_re758172648_c_c_c:((b->(a->Prop))->(((c->c)->((c->c)->Prop))->((b->(c->c))->((a->(c->c))->Prop)))).
% 1.42/1.64 Parameter bNF_re38477224_d_c_c:((b->(a->Prop))->(((d->d)->((c->c)->Prop))->((b->(d->d))->((a->(c->c))->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_a_o_o:((b->(a->Prop))->((Prop->(Prop->Prop))->((b->Prop)->((a->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_a_a_a:((b->(a->Prop))->((a->(a->Prop))->((b->a)->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_a_b_a:((b->(a->Prop))->((b->(a->Prop))->((b->b)->((a->a)->Prop)))).
% 1.42/1.64 Parameter bNF_re1728528361_c_c_c:((b->(b->Prop))->(((c->c)->((c->c)->Prop))->((b->(c->c))->((b->(c->c))->Prop)))).
% 1.42/1.64 Parameter bNF_re417075625_c_d_d:((b->(b->Prop))->(((c->c)->((d->d)->Prop))->((b->(c->c))->((b->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_re1844863849_d_d_d:((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_b_o_o:((b->(b->Prop))->((Prop->(Prop->Prop))->((b->Prop)->((b->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_b_a_a:((b->(b->Prop))->((a->(a->Prop))->((b->a)->((b->a)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_b_a_b:((b->(b->Prop))->((a->(b->Prop))->((b->a)->((b->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_b_b_b_b:((b->(b->Prop))->((b->(b->Prop))->((b->b)->((b->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_c_c_c_c:((c->(c->Prop))->((c->(c->Prop))->((c->c)->((c->c)->Prop)))).
% 1.42/1.64 Parameter bNF_re1313098655_d_d_d:((c->(d->Prop))->((((c->c)->c)->(((d->d)->d)->Prop))->((c->((c->c)->c))->((d->((d->d)->d))->Prop)))).
% 1.42/1.64 Parameter bNF_re822780063_d_d_d:((c->(d->Prop))->(((c->(c->c))->((d->(d->d))->Prop))->((c->(c->(c->c)))->((d->(d->(d->d)))->Prop)))).
% 1.42/1.64 Parameter bNF_re391428377_o_d_o:((c->(d->Prop))->(((c->Prop)->((d->Prop)->Prop))->((c->(c->Prop))->((d->(d->Prop))->Prop)))).
% 1.42/1.64 Parameter bNF_re1972258794_c_d_d:((c->(d->Prop))->(((c->c)->((d->d)->Prop))->((c->(c->c))->((d->(d->d))->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_c_d_o_o:((c->(d->Prop))->((Prop->(Prop->Prop))->((c->Prop)->((d->Prop)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_c_d_a_b:((c->(d->Prop))->((a->(b->Prop))->((c->a)->((d->b)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_c_d_c_d:((c->(d->Prop))->((c->(d->Prop))->((c->c)->((d->d)->Prop)))).
% 1.42/1.64 Parameter bNF_rel_fun_d_d_d_d:((d->(d->Prop))->((d->(d->Prop))->((d->d)->((d->d)->Prop)))).
% 1.42/1.64 Parameter comple1702356924_a_c_c:((a->(a->Prop))->(((c->c)->((c->c)->Prop))->((a->(c->c))->Prop))).
% 1.42/1.64 Parameter comple61207421_b_d_d:((b->(b->Prop))->(((d->d)->((d->d)->Prop))->((b->(d->d))->Prop))).
% 1.42/1.64 Parameter comple787379047ne_c_c:((c->(c->Prop))->((c->(c->Prop))->((c->c)->Prop))).
% 1.42/1.64 Parameter comple1615148455ne_d_d:((d->(d->Prop))->((d->(d->Prop))->((d->d)->Prop))).
% 1.42/1.64 Parameter ffold_a_c:((a->(c->c))->(c->(fset_a->c))).
% 1.42/1.64 Parameter ffold_b_d:((b->(d->d))->(d->(fset_b->d))).
% 1.42/1.64 Parameter finite746615251te_a_c:((a->(c->c))->Prop).
% 1.42/1.64 Parameter finite1574384658te_b_c:((b->(c->c))->Prop).
% 1.42/1.64 Parameter finite1574384659te_b_d:((b->(d->d))->Prop).
% 1.42/1.64 Parameter finite40241358em_a_c:((a->(c->c))->Prop).
% 1.42/1.64 Parameter finite868010765em_b_c:((b->(c->c))->Prop).
% 1.42/1.64 Parameter finite868010766em_b_d:((b->(d->d))->Prop).
% 1.42/1.64 Parameter finite19304177ms_a_c:((a->(c->c))->Prop).
% 1.42/1.64 Parameter finite847073585ms_b_d:((b->(d->d))->Prop).
% 1.42/1.64 Parameter finite1511629766ph_a_a:((a->(a->a))->(a->(set_a->(a->Prop)))).
% 1.42/1.64 Parameter finite1511629767ph_a_b:((a->(b->b))->(b->(set_a->(b->Prop)))).
% 1.42/1.64 Parameter finite1511629768ph_a_c:((a->(c->c))->(c->(set_a->(c->Prop)))).
% 1.42/1.64 Parameter finite1511629769ph_a_d:((a->(d->d))->(d->(set_a->(d->Prop)))).
% 1.42/1.64 Parameter finite191915525ph_b_a:((b->(a->a))->(a->(set_b->(a->Prop)))).
% 1.42/1.64 Parameter finite191915528ph_b_d:((b->(d->d))->(d->(set_b->(d->Prop)))).
% 1.42/1.64 Parameter finite1019684932ph_c_a:((c->(a->a))->(a->(set_c->(a->Prop)))).
% 1.42/1.64 Parameter finite1019684933ph_c_b:((c->(b->b))->(b->(set_c->(b->Prop)))).
% 1.42/1.64 Parameter finite1019684934ph_c_c:((c->(c->c))->(c->(set_c->(c->Prop)))).
% 1.42/1.64 Parameter finite1019684935ph_c_d:((c->(d->d))->(d->(set_c->(d->Prop)))).
% 1.42/1.64 Parameter comp_a_a_a_c_c_c_c_a:(((a->a)->(a->(c->c)))->((((c->c)->a)->(a->a))->(((c->c)->a)->(a->(c->c))))).
% 1.42/1.64 Parameter comp_a_b_a_d_d_c_c_b:(((a->b)->(a->(d->d)))->((((c->c)->b)->(a->b))->(((c->c)->b)->(a->(d->d))))).
% 1.42/1.64 Parameter comp_b_a_b_c_c_d_d_a:(((b->a)->(b->(c->c)))->((((d->d)->a)->(b->a))->(((d->d)->a)->(b->(c->c))))).
% 1.42/1.64 Parameter comp_b_b_b_d_d_d_d_b:(((b->b)->(b->(d->d)))->((((d->d)->b)->(b->b))->(((d->d)->b)->(b->(d->d))))).
% 1.42/1.64 Parameter comp_c_c_c_c_a:(((c->c)->(c->c))->((a->(c->c))->(a->(c->c)))).
% 1.42/1.64 Parameter comp_c_c_a_c_c:(((c->c)->a)->(((c->c)->(c->c))->((c->c)->a))).
% 1.42/1.64 Parameter comp_c_c_a_a:(((c->c)->a)->((a->(c->c))->(a->a))).
% 1.42/1.64 Parameter comp_c_c_b_a:(((c->c)->b)->((a->(c->c))->(a->b))).
% 1.42/1.64 Parameter comp_c_c_b_b:(((c->c)->b)->((b->(c->c))->(b->b))).
% 1.42/1.64 Parameter comp_d_d_d_d_b:(((d->d)->(d->d))->((b->(d->d))->(b->(d->d)))).
% 1.42/1.64 Parameter comp_d_d_b_b:(((d->d)->b)->((b->(d->d))->(b->b))).
% 1.42/1.64 Parameter comp_a_c_c_a:((a->(c->c))->((a->a)->(a->(c->c)))).
% 1.42/1.64 Parameter comp_a_c_c_b:((a->(c->c))->((b->a)->(b->(c->c)))).
% 1.42/1.64 Parameter comp_a_a_c_c:((a->a)->(((c->c)->a)->((c->c)->a))).
% 1.42/1.64 Parameter comp_a_a_a:((a->a)->((a->a)->(a->a))).
% 1.42/1.64 Parameter comp_a_a_b:((a->a)->((b->a)->(b->a))).
% 1.42/1.64 Parameter comp_a_b_a:((a->b)->((a->a)->(a->b))).
% 1.42/1.64 Parameter comp_a_b_b:((a->b)->((b->a)->(b->b))).
% 1.42/1.65 Parameter comp_b_c_c_a:((b->(c->c))->((a->b)->(a->(c->c)))).
% 1.42/1.65 Parameter comp_b_c_c_b:((b->(c->c))->((b->b)->(b->(c->c)))).
% 1.42/1.65 Parameter comp_b_d_d_a:((b->(d->d))->((a->b)->(a->(d->d)))).
% 1.42/1.65 Parameter comp_b_d_d_b:((b->(d->d))->((b->b)->(b->(d->d)))).
% 1.42/1.65 Parameter comp_b_a_a:((b->a)->((a->b)->(a->a))).
% 1.42/1.65 Parameter comp_b_a_b:((b->a)->((b->b)->(b->a))).
% 1.42/1.65 Parameter comp_b_b_d_d:((b->b)->(((d->d)->b)->((d->d)->b))).
% 1.42/1.65 Parameter comp_b_b_a:((b->b)->((a->b)->(a->b))).
% 1.42/1.65 Parameter comp_b_b_b:((b->b)->((b->b)->(b->b))).
% 1.42/1.65 Parameter comp_c_c_c:((c->c)->((c->c)->(c->c))).
% 1.42/1.65 Parameter comp_d_d_d:((d->d)->((d->d)->(d->d))).
% 1.42/1.65 Parameter fun_upd_a_c_c:((a->(c->c))->(a->((c->c)->(a->(c->c))))).
% 1.42/1.65 Parameter fun_upd_b_d_d:((b->(d->d))->(b->((d->d)->(b->(d->d))))).
% 1.42/1.65 Parameter fun_upd_c_c:((c->c)->(c->(c->(c->c)))).
% 1.42/1.65 Parameter fun_upd_d_d:((d->d)->(d->(d->(d->d)))).
% 1.42/1.65 Parameter map_fu676564502_a_c_c:(((a->(c->c))->(a->(c->c)))->((((a->a)->(a->(c->c)))->((a->a)->(a->(c->c))))->(((a->(c->c))->((a->a)->(a->(c->c))))->((a->(c->c))->((a->a)->(a->(c->c))))))).
% 1.42/1.65 Parameter map_fu232832790_a_c_c:(((a->(c->c))->(b->(d->d)))->((((b->b)->(b->(d->d)))->((a->a)->(a->(c->c))))->(((b->(d->d))->((b->b)->(b->(d->d))))->((a->(c->c))->((a->a)->(a->(c->c))))))).
% 1.42/1.65 Parameter map_fu961723106_a_c_c:(((a->a)->(a->a))->(((a->(c->c))->(a->(c->c)))->(((a->a)->(a->(c->c)))->((a->a)->(a->(c->c)))))).
% 1.42/1.65 Parameter map_fu75729569_a_c_c:(((a->a)->(b->b))->(((b->(d->d))->(a->(c->c)))->(((b->b)->(b->(d->d)))->((a->a)->(a->(c->c)))))).
% 1.42/1.65 Parameter map_fu981964822_b_d_d:(((b->(d->d))->(a->(c->c)))->((((a->a)->(a->(c->c)))->((b->b)->(b->(d->d))))->(((a->(c->c))->((a->a)->(a->(c->c))))->((b->(d->d))->((b->b)->(b->(d->d))))))).
% 1.42/1.65 Parameter map_fu538233110_b_d_d:(((b->(d->d))->(b->(d->d)))->((((b->b)->(b->(d->d)))->((b->b)->(b->(d->d))))->(((b->(d->d))->((b->b)->(b->(d->d))))->((b->(d->d))->((b->b)->(b->(d->d))))))).
% 1.42/1.65 Parameter map_fu1569200227_b_d_d:(((b->b)->(a->a))->(((a->(c->c))->(b->(d->d)))->(((a->a)->(a->(c->c)))->((b->b)->(b->(d->d)))))).
% 1.42/1.65 Parameter map_fu683206690_b_d_d:(((b->b)->(b->b))->(((b->(d->d))->(b->(d->d)))->(((b->b)->(b->(d->d)))->((b->b)->(b->(d->d)))))).
% 1.42/1.65 Parameter map_fun_a_c_c_a_c_c:((a->(c->c))->((a->(c->c))->(((c->c)->a)->(a->(c->c))))).
% 1.42/1.65 Parameter map_fun_a_c_c_a_a:((a->(c->c))->((a->a)->(((c->c)->a)->(a->a)))).
% 1.42/1.65 Parameter map_fun_a_c_c_b_d_d:((a->(c->c))->((b->(d->d))->(((c->c)->b)->(a->(d->d))))).
% 1.42/1.65 Parameter map_fun_a_c_c_b_b:((a->(c->c))->((b->b)->(((c->c)->b)->(a->b)))).
% 1.42/1.65 Parameter map_fun_a_c_c_c_c:((a->(c->c))->((c->c)->(((c->c)->c)->(a->c)))).
% 1.42/1.65 Parameter map_fun_a_a_c_c_c_c:((a->a)->(((c->c)->(c->c))->((a->(c->c))->(a->(c->c))))).
% 1.42/1.65 Parameter map_fun_a_a_a_c_c:((a->a)->((a->(c->c))->((a->a)->(a->(c->c))))).
% 1.42/1.65 Parameter map_fun_a_a_a_a:((a->a)->((a->a)->((a->a)->(a->a)))).
% 1.42/1.65 Parameter map_fun_a_a_b_d_d:((a->a)->((b->(d->d))->((a->b)->(a->(d->d))))).
% 1.42/1.65 Parameter map_fun_a_b_d_d_c_c:((a->b)->(((d->d)->(c->c))->((b->(d->d))->(a->(c->c))))).
% 1.42/1.65 Parameter map_fun_a_b_b_a:((a->b)->((b->a)->((b->b)->(a->a)))).
% 1.42/1.65 Parameter map_fun_a_c_c_c_c2:((a->c)->((c->(c->c))->((c->c)->(a->(c->c))))).
% 1.42/1.65 Parameter map_fun_b_d_d_a_c_c:((b->(d->d))->((a->(c->c))->(((d->d)->a)->(b->(c->c))))).
% 1.42/1.65 Parameter map_fun_b_d_d_a_a:((b->(d->d))->((a->a)->(((d->d)->a)->(b->a)))).
% 1.42/1.65 Parameter map_fun_b_d_d_b_d_d:((b->(d->d))->((b->(d->d))->(((d->d)->b)->(b->(d->d))))).
% 1.42/1.65 Parameter map_fun_b_d_d_b_b:((b->(d->d))->((b->b)->(((d->d)->b)->(b->b)))).
% 1.42/1.65 Parameter map_fun_b_d_d_d_d:((b->(d->d))->((d->d)->(((d->d)->d)->(b->d)))).
% 1.42/1.65 Parameter map_fun_b_a_c_c_d_d:((b->a)->(((c->c)->(d->d))->((a->(c->c))->(b->(d->d))))).
% 1.42/1.65 Parameter map_fun_b_a_a_b:((b->a)->((a->b)->((a->a)->(b->b)))).
% 1.42/1.65 Parameter map_fun_b_b_d_d_d_d:((b->b)->(((d->d)->(d->d))->((b->(d->d))->(b->(d->d))))).
% 1.42/1.65 Parameter map_fun_b_b_a_c_c:((b->b)->((a->(c->c))->((b->a)->(b->(c->c))))).
% 1.42/1.65 Parameter map_fun_b_b_b_d_d:((b->b)->((b->(d->d))->((b->b)->(b->(d->d))))).
% 1.42/1.65 Parameter map_fun_b_b_b_b:((b->b)->((b->b)->((b->b)->(b->b)))).
% 1.42/1.65 Parameter map_fun_b_d_d_d_d2:((b->d)->((d->(d->d))->((d->d)->(b->(d->d))))).
% 1.42/1.65 Parameter map_fun_c_a_c_c_c:((c->a)->(((c->c)->c)->((a->(c->c))->(c->c)))).
% 1.42/1.65 Parameter map_fun_c_c_a_c_c:((c->c)->((a->(c->c))->((c->a)->(c->(c->c))))).
% 1.50/1.65 Parameter map_fun_c_c_c_c:((c->c)->((c->c)->((c->c)->(c->c)))).
% 1.50/1.65 Parameter map_fun_d_b_d_d_d:((d->b)->(((d->d)->d)->((b->(d->d))->(d->d)))).
% 1.50/1.65 Parameter map_fun_d_d_b_d_d:((d->d)->((b->(d->d))->((d->b)->(d->(d->d))))).
% 1.50/1.65 Parameter map_fun_d_d_d_d:((d->d)->((d->d)->((d->d)->(d->d)))).
% 1.50/1.65 Parameter plus_plus_multiset_a:(multiset_a->(multiset_a->multiset_a)).
% 1.50/1.65 Parameter plus_plus_multiset_b:(multiset_b->(multiset_b->multiset_b)).
% 1.50/1.65 Parameter if_a:(Prop->(a->(a->a))).
% 1.50/1.65 Parameter if_b:(Prop->(b->(b->b))).
% 1.50/1.65 Parameter if_c:(Prop->(c->(c->c))).
% 1.50/1.65 Parameter if_d:(Prop->(d->(d->d))).
% 1.50/1.65 Parameter fold_mset_a_c:((a->(c->c))->(c->(multiset_a->c))).
% 1.50/1.65 Parameter fold_mset_b_d:((b->(d->d))->(d->(multiset_b->d))).
% 1.50/1.65 Parameter ord_le469275661_d_d_o:(((a->(c->c))->((b->(d->d))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->Prop)).
% 1.50/1.65 Parameter ord_le1338099484_d_d_o:(((c->c)->((d->d)->Prop))->(((c->c)->((d->d)->Prop))->Prop)).
% 1.50/1.65 Parameter ord_less_eq_a_b_o:((a->(b->Prop))->((a->(b->Prop))->Prop)).
% 1.50/1.65 Parameter ord_less_eq_c_d_o:((c->(d->Prop))->((c->(d->Prop))->Prop)).
% 1.50/1.65 Parameter partia186872226_c_c_a:(((c->c)->((c->c)->Prop))->((a->(c->c))->((a->(c->c))->Prop))).
% 1.50/1.65 Parameter partia1709452835_d_d_b:(((d->d)->((d->d)->Prop))->((b->(d->d))->((b->(d->d))->Prop))).
% 1.50/1.65 Parameter partia1494029680_c_c_c:((c->(c->Prop))->((c->c)->((c->c)->Prop))).
% 1.50/1.65 Parameter partia1041982257_d_d_d:((d->(d->Prop))->((d->d)->((d->d)->Prop))).
% 1.50/1.65 Parameter quotient3_c_c_c_c:(((c->c)->((c->c)->Prop))->(((c->c)->(c->c))->(((c->c)->(c->c))->Prop))).
% 1.50/1.65 Parameter quotient3_c_c_d_d:(((c->c)->((c->c)->Prop))->(((c->c)->(d->d))->(((d->d)->(c->c))->Prop))).
% 1.50/1.65 Parameter quotient3_c_c_a:(((c->c)->((c->c)->Prop))->(((c->c)->a)->((a->(c->c))->Prop))).
% 1.50/1.65 Parameter quotient3_d_d_c_c:(((d->d)->((d->d)->Prop))->(((d->d)->(c->c))->(((c->c)->(d->d))->Prop))).
% 1.50/1.65 Parameter quotient3_d_d_d_d:(((d->d)->((d->d)->Prop))->(((d->d)->(d->d))->(((d->d)->(d->d))->Prop))).
% 1.50/1.65 Parameter quotient3_d_d_b:(((d->d)->((d->d)->Prop))->(((d->d)->b)->((b->(d->d))->Prop))).
% 1.50/1.65 Parameter quotient3_a_c_c:((a->(a->Prop))->((a->(c->c))->(((c->c)->a)->Prop))).
% 1.50/1.65 Parameter quotient3_a_a:((a->(a->Prop))->((a->a)->((a->a)->Prop))).
% 1.50/1.65 Parameter quotient3_a_b:((a->(a->Prop))->((a->b)->((b->a)->Prop))).
% 1.50/1.65 Parameter quotient3_b_d_d:((b->(b->Prop))->((b->(d->d))->(((d->d)->b)->Prop))).
% 1.50/1.65 Parameter quotient3_b_a:((b->(b->Prop))->((b->a)->((a->b)->Prop))).
% 1.50/1.65 Parameter quotient3_b_b:((b->(b->Prop))->((b->b)->((b->b)->Prop))).
% 1.50/1.65 Parameter relcom1813708708_b_d_d:(((a->(c->c))->((a->(c->c))->Prop))->(((a->(c->c))->((b->(d->d))->Prop))->((a->(c->c))->((b->(d->d))->Prop)))).
% 1.50/1.65 Parameter relcom1887247779_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->(((b->(d->d))->((b->(d->d))->Prop))->((a->(c->c))->((b->(d->d))->Prop)))).
% 1.50/1.65 Parameter relcompp_c_c_c_c_c_c:(((c->c)->((c->c)->Prop))->(((c->c)->((c->c)->Prop))->((c->c)->((c->c)->Prop)))).
% 1.50/1.65 Parameter relcompp_c_c_c_c_d_d:(((c->c)->((c->c)->Prop))->(((c->c)->((d->d)->Prop))->((c->c)->((d->d)->Prop)))).
% 1.50/1.65 Parameter relcompp_c_c_d_d_d_d:(((c->c)->((d->d)->Prop))->(((d->d)->((d->d)->Prop))->((c->c)->((d->d)->Prop)))).
% 1.50/1.65 Parameter relcompp_d_d_d_d_d_d:(((d->d)->((d->d)->Prop))->(((d->d)->((d->d)->Prop))->((d->d)->((d->d)->Prop)))).
% 1.50/1.65 Parameter relcompp_a_a_a:((a->(a->Prop))->((a->(a->Prop))->(a->(a->Prop)))).
% 1.50/1.65 Parameter relcompp_a_a_b:((a->(a->Prop))->((a->(b->Prop))->(a->(b->Prop)))).
% 1.50/1.65 Parameter relcompp_a_b_b:((a->(b->Prop))->((b->(b->Prop))->(a->(b->Prop)))).
% 1.50/1.65 Parameter relcompp_b_b_b:((b->(b->Prop))->((b->(b->Prop))->(b->(b->Prop)))).
% 1.50/1.65 Parameter relcompp_c_c_d:((c->(c->Prop))->((c->(d->Prop))->(c->(d->Prop)))).
% 1.50/1.65 Parameter relcompp_c_d_d:((c->(d->Prop))->((d->(d->Prop))->(c->(d->Prop)))).
% 1.50/1.65 Parameter collect_a:((a->Prop)->set_a).
% 1.50/1.65 Parameter collect_b:((b->Prop)->set_b).
% 1.50/1.65 Parameter collect_c:((c->Prop)->set_c).
% 1.50/1.65 Parameter collect_d:((d->Prop)->set_d).
% 1.50/1.65 Parameter bi_total_a_c_c_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter bi_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter bi_total_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter bi_total_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter bi_uni844770768_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter bi_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter bi_unique_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter bi_unique_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter left_t1993719015_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter left_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter left_total_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter left_total_b_b:((b->(b->Prop))->Prop).
% 1.50/1.65 Parameter left_total_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter left_total_d_d:((d->(d->Prop))->Prop).
% 1.50/1.65 Parameter left_u1654071760_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_d_d_d_d:(((d->d)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_a_a:((a->(a->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_c_c:((c->(c->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter left_unique_d_d:((d->(d->Prop))->Prop).
% 1.50/1.65 Parameter rev_implies:(Prop->(Prop->Prop)).
% 1.50/1.65 Parameter right_386984928_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter right_total_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter right_total_d_d_d_d:(((d->d)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter right_total_a_a:((a->(a->Prop))->Prop).
% 1.50/1.65 Parameter right_total_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter right_total_c_c:((c->(c->Prop))->Prop).
% 1.50/1.65 Parameter right_total_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter right_total_d_d:((d->(d->Prop))->Prop).
% 1.50/1.65 Parameter right_2142487_b_d_d:(((a->(c->c))->((b->(d->d))->Prop))->Prop).
% 1.50/1.65 Parameter right_unique_c_c_d_d:(((c->c)->((d->d)->Prop))->Prop).
% 1.50/1.65 Parameter right_unique_a_b:((a->(b->Prop))->Prop).
% 1.50/1.65 Parameter right_unique_b_b:((b->(b->Prop))->Prop).
% 1.50/1.65 Parameter right_unique_c_d:((c->(d->Prop))->Prop).
% 1.50/1.65 Parameter right_unique_d_d:((d->(d->Prop))->Prop).
% 1.50/1.65 Parameter member_a:(a->(set_a->Prop)).
% 1.50/1.65 Parameter member_b:(b->(set_b->Prop)).
% 1.50/1.65 Parameter member_c:(c->(set_c->Prop)).
% 1.50/1.65 Parameter member_d:(d->(set_d->Prop)).
% 1.50/1.65 Parameter a2:(a->(b->Prop)).
% 1.50/1.65 Parameter b2:(c->(d->Prop)).
% 1.50/1.65 Parameter f1:(a->(c->c)).
% 1.50/1.65 Parameter f2:(b->(d->d)).
% 1.50/1.65 Axiom fact_0_assms_I2_J:(finite746615251te_a_c f1).
% 1.50/1.65 Axiom fact_1_comp__fun__commute_Ofun__left__comm:(forall (F:(a->(c->c))) (Y:a) (X:a) (Z:c), ((finite746615251te_a_c F)->(((eq c) ((F Y) ((F X) Z))) ((F X) ((F Y) Z))))).
% 1.50/1.65 Axiom fact_2_comp__fun__commute_Ofun__left__comm:(forall (F:(b->(d->d))) (Y:b) (X:b) (Z:d), ((finite1574384659te_b_d F)->(((eq d) ((F Y) ((F X) Z))) ((F X) ((F Y) Z))))).
% 1.50/1.65 Axiom fact_3_assms_I3_J:(finite1574384659te_b_d f2).
% 1.50/1.65 Axiom fact_4__C12_C:((((bNF_re802603882_c_d_d a2) ((bNF_rel_fun_c_d_c_d b2) b2)) f1) f2).
% 1.50/1.65 Axiom fact_5_comp__fun__commute_Ofold__mset__fusion:(forall (F:(a->(c->c))) (G:(a->(c->c))) (H:(c->c)) (W:c) (A:multiset_a), ((finite746615251te_a_c F)->((finite746615251te_a_c G)->((forall (X2:a) (Y2:c), (((eq c) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq c) (H (((fold_mset_a_c G) W) A))) (((fold_mset_a_c F) (H W)) A)))))).
% 1.50/1.65 Axiom fact_6_comp__fun__commute_Ofold__mset__fusion:(forall (F:(b->(d->d))) (G:(b->(d->d))) (H:(d->d)) (W:d) (A:multiset_b), ((finite1574384659te_b_d F)->((finite1574384659te_b_d G)->((forall (X2:b) (Y2:d), (((eq d) (H ((G X2) Y2))) ((F X2) (H Y2))))->(((eq d) (H (((fold_mset_b_d G) W) A))) (((fold_mset_b_d F) (H W)) A)))))).
% 1.50/1.65 Axiom fact_7_comp__fun__commute_Ofold__mset__fun__left__comm:(forall (F:(a->(c->c))) (X:a) (S:c) (M:multiset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((fold_mset_a_c F) S) M))) (((fold_mset_a_c F) ((F X) S)) M)))).
% 1.50/1.65 Axiom fact_8_comp__fun__commute_Ofold__mset__fun__left__comm:(forall (F:(b->(d->d))) (X:b) (S:d) (M:multiset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((fold_mset_b_d F) S) M))) (((fold_mset_b_d F) ((F X) S)) M)))).
% 1.50/1.65 Axiom fact_9_comp__fun__idem_Oaxioms_I1_J:(forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite746615251te_a_c F))).
% 1.50/1.65 Axiom fact_10_comp__fun__idem_Oaxioms_I1_J:(forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite1574384659te_b_d F))).
% 1.50/1.65 Axiom fact_11_comp__fun__commute_Ofold__graph__determ:(forall (F:(a->(c->c))) (Z:c) (A:set_a) (X:c) (Y:c), ((finite746615251te_a_c F)->(((((finite1511629768ph_a_c F) Z) A) X)->(((((finite1511629768ph_a_c F) Z) A) Y)->(((eq c) Y) X))))).
% 1.50/1.65 Axiom fact_12_comp__fun__commute_Ofold__graph__determ:(forall (F:(b->(d->d))) (Z:d) (A:set_b) (X:d) (Y:d), ((finite1574384659te_b_d F)->(((((finite191915528ph_b_d F) Z) A) X)->(((((finite191915528ph_b_d F) Z) A) Y)->(((eq d) Y) X))))).
% 1.50/1.65 Axiom fact_13_comp__fun__commute_Offold__fun__left__comm:(forall (F:(a->(c->c))) (X:a) (Z:c) (A:fset_a), ((finite746615251te_a_c F)->(((eq c) ((F X) (((ffold_a_c F) Z) A))) (((ffold_a_c F) ((F X) Z)) A)))).
% 1.50/1.65 Axiom fact_14_comp__fun__commute_Offold__fun__left__comm:(forall (F:(b->(d->d))) (X:b) (Z:d) (A:fset_b), ((finite1574384659te_b_d F)->(((eq d) ((F X) (((ffold_b_d F) Z) A))) (((ffold_b_d F) ((F X) Z)) A)))).
% 1.50/1.65 Axiom fact_15_comp__fun__commute_Ocomp__comp__fun__commute:(forall (F:(a->(c->c))) (G:(b->a)), ((finite746615251te_a_c F)->(finite1574384658te_b_c ((comp_a_c_c_b F) G)))).
% 1.50/1.65 Axiom fact_16_comp__fun__commute_Ocomp__comp__fun__commute:(forall (F:(a->(c->c))) (G:(a->a)), ((finite746615251te_a_c F)->(finite746615251te_a_c ((comp_a_c_c_a F) G)))).
% 1.50/1.65 Axiom fact_17_comp__fun__commute_Ocomp__comp__fun__commute:(forall (F:(b->(d->d))) (G:(b->b)), ((finite1574384659te_b_d F)->(finite1574384659te_b_d ((comp_b_d_d_b F) G)))).
% 1.50/1.65 Axiom fact_18_comp__fun__commute__def:(((eq ((a->(c->c))->Prop)) finite746615251te_a_c) (fun (F2:(a->(c->c)))=> (forall (Y3:a) (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 Y3)) (F2 X3))) ((comp_c_c_c (F2 X3)) (F2 Y3)))))).
% 1.50/1.65 Axiom fact_19_comp__fun__commute__def:(((eq ((b->(d->d))->Prop)) finite1574384659te_b_d) (fun (F2:(b->(d->d)))=> (forall (Y3:b) (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 Y3)) (F2 X3))) ((comp_d_d_d (F2 X3)) (F2 Y3)))))).
% 1.50/1.65 Axiom fact_20_comp__fun__commute_Ointro:(forall (F:(a->(c->c))), ((forall (Y2:a) (X2:a), (((eq (c->c)) ((comp_c_c_c (F Y2)) (F X2))) ((comp_c_c_c (F X2)) (F Y2))))->(finite746615251te_a_c F))).
% 1.50/1.65 Axiom fact_21_comp__fun__commute_Ointro:(forall (F:(b->(d->d))), ((forall (Y2:b) (X2:b), (((eq (d->d)) ((comp_d_d_d (F Y2)) (F X2))) ((comp_d_d_d (F X2)) (F Y2))))->(finite1574384659te_b_d F))).
% 1.50/1.65 Axiom fact_22_comp__fun__commute_Ocomp__fun__commute:(forall (F:(a->(c->c))) (Y:a) (X:a), ((finite746615251te_a_c F)->(((eq (c->c)) ((comp_c_c_c (F Y)) (F X))) ((comp_c_c_c (F X)) (F Y))))).
% 1.50/1.65 Axiom fact_23_comp__fun__commute_Ocomp__fun__commute:(forall (F:(b->(d->d))) (Y:b) (X:b), ((finite1574384659te_b_d F)->(((eq (d->d)) ((comp_d_d_d (F Y)) (F X))) ((comp_d_d_d (F X)) (F Y))))).
% 1.50/1.65 Axiom fact_24_fold__graph__closed__eq:(forall (A:set_b) (B:set_d) (F:(b->(d->d))) (G:(b->(d->d))) (Z:d), ((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite191915528ph_b_d F) Z) A)) (((finite191915528ph_b_d G) Z) A)))))).
% 1.50/1.65 Axiom fact_25_fold__graph__closed__eq:(forall (A:set_a) (B:set_c) (F:(a->(c->c))) (G:(a->(c->c))) (Z:c), ((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1511629768ph_a_c F) Z) A)) (((finite1511629768ph_a_c G) Z) A)))))).
% 1.50/1.65 Axiom fact_26_fold__graph__closed__eq:(forall (A:set_a) (B:set_a) (F:(a->(a->a))) (G:(a->(a->a))) (Z:a), ((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1511629766ph_a_a F) Z) A)) (((finite1511629766ph_a_a G) Z) A)))))).
% 1.50/1.65 Axiom fact_27_fold__graph__closed__eq:(forall (A:set_a) (B:set_b) (F:(a->(b->b))) (G:(a->(b->b))) (Z:b), ((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1511629767ph_a_b F) Z) A)) (((finite1511629767ph_a_b G) Z) A)))))).
% 1.50/1.66 Axiom fact_28_fold__graph__closed__eq:(forall (A:set_a) (B:set_d) (F:(a->(d->d))) (G:(a->(d->d))) (Z:d), ((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1511629769ph_a_d F) Z) A)) (((finite1511629769ph_a_d G) Z) A)))))).
% 1.50/1.66 Axiom fact_29_fold__graph__closed__eq:(forall (A:set_c) (B:set_a) (F:(c->(a->a))) (G:(c->(a->a))) (Z:a), ((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite1019684932ph_c_a F) Z) A)) (((finite1019684932ph_c_a G) Z) A)))))).
% 1.50/1.66 Axiom fact_30_fold__graph__closed__eq:(forall (A:set_c) (B:set_c) (F:(c->(c->c))) (G:(c->(c->c))) (Z:c), ((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->(((eq (c->Prop)) (((finite1019684934ph_c_c F) Z) A)) (((finite1019684934ph_c_c G) Z) A)))))).
% 1.50/1.66 Axiom fact_31_fold__graph__closed__eq:(forall (A:set_c) (B:set_b) (F:(c->(b->b))) (G:(c->(b->b))) (Z:b), ((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->(((eq (b->Prop)) (((finite1019684933ph_c_b F) Z) A)) (((finite1019684933ph_c_b G) Z) A)))))).
% 1.50/1.66 Axiom fact_32_fold__graph__closed__eq:(forall (A:set_c) (B:set_d) (F:(c->(d->d))) (G:(c->(d->d))) (Z:d), ((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->(((eq (d->Prop)) (((finite1019684935ph_c_d F) Z) A)) (((finite1019684935ph_c_d G) Z) A)))))).
% 1.50/1.66 Axiom fact_33_fold__graph__closed__eq:(forall (A:set_b) (B:set_a) (F:(b->(a->a))) (G:(b->(a->a))) (Z:a), ((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->(((eq (a->Prop)) (((finite191915525ph_b_a F) Z) A)) (((finite191915525ph_b_a G) Z) A)))))).
% 1.50/1.66 Axiom fact_34_fold__graph__closed__lemma:(forall (G:(b->(d->d))) (Z:d) (A:set_b) (X:d) (B:set_d) (F:(b->(d->d))), (((((finite191915528ph_b_d G) Z) A) X)->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:d), (((member_b A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite191915528ph_b_d F) Z) A) X)) ((member_d X) B))))))).
% 1.50/1.66 Axiom fact_35_fold__graph__closed__lemma:(forall (G:(a->(c->c))) (Z:c) (A:set_a) (X:c) (B:set_c) (F:(a->(c->c))), (((((finite1511629768ph_a_c G) Z) A) X)->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:c), (((member_a A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1511629768ph_a_c F) Z) A) X)) ((member_c X) B))))))).
% 1.50/1.66 Axiom fact_36_fold__graph__closed__lemma:(forall (G:(a->(a->a))) (Z:a) (A:set_a) (X:a) (B:set_a) (F:(a->(a->a))), (((((finite1511629766ph_a_a G) Z) A) X)->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:a), (((member_a A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1511629766ph_a_a F) Z) A) X)) ((member_a X) B))))))).
% 1.50/1.66 Axiom fact_37_fold__graph__closed__lemma:(forall (G:(a->(b->b))) (Z:b) (A:set_a) (X:b) (B:set_b) (F:(a->(b->b))), (((((finite1511629767ph_a_b G) Z) A) X)->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:b), (((member_a A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1511629767ph_a_b F) Z) A) X)) ((member_b X) B))))))).
% 1.50/1.66 Axiom fact_38_fold__graph__closed__lemma:(forall (G:(a->(d->d))) (Z:d) (A:set_a) (X:d) (B:set_d) (F:(a->(d->d))), (((((finite1511629769ph_a_d G) Z) A) X)->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:a) (B2:d), (((member_a A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1511629769ph_a_d F) Z) A) X)) ((member_d X) B))))))).
% 1.50/1.66 Axiom fact_39_fold__graph__closed__lemma:(forall (G:(c->(a->a))) (Z:a) (A:set_c) (X:a) (B:set_a) (F:(c->(a->a))), (((((finite1019684932ph_c_a G) Z) A) X)->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:a), (((member_c A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite1019684932ph_c_a F) Z) A) X)) ((member_a X) B))))))).
% 1.50/1.66 Axiom fact_40_fold__graph__closed__lemma:(forall (G:(c->(c->c))) (Z:c) (A:set_c) (X:c) (B:set_c) (F:(c->(c->c))), (((((finite1019684934ph_c_c G) Z) A) X)->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->(((eq c) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:c), (((member_c A2) A)->(((member_c B2) B)->((member_c ((G A2) B2)) B))))->(((member_c Z) B)->((and ((((finite1019684934ph_c_c F) Z) A) X)) ((member_c X) B))))))).
% 1.50/1.66 Axiom fact_41_fold__graph__closed__lemma:(forall (G:(c->(b->b))) (Z:b) (A:set_c) (X:b) (B:set_b) (F:(c->(b->b))), (((((finite1019684933ph_c_b G) Z) A) X)->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->(((eq b) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:b), (((member_c A2) A)->(((member_b B2) B)->((member_b ((G A2) B2)) B))))->(((member_b Z) B)->((and ((((finite1019684933ph_c_b F) Z) A) X)) ((member_b X) B))))))).
% 1.50/1.66 Axiom fact_42_fold__graph__closed__lemma:(forall (G:(c->(d->d))) (Z:d) (A:set_c) (X:d) (B:set_d) (F:(c->(d->d))), (((((finite1019684935ph_c_d G) Z) A) X)->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->(((eq d) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:c) (B2:d), (((member_c A2) A)->(((member_d B2) B)->((member_d ((G A2) B2)) B))))->(((member_d Z) B)->((and ((((finite1019684935ph_c_d F) Z) A) X)) ((member_d X) B))))))).
% 1.50/1.66 Axiom fact_43_fold__graph__closed__lemma:(forall (G:(b->(a->a))) (Z:a) (A:set_b) (X:a) (B:set_a) (F:(b->(a->a))), (((((finite191915525ph_b_a G) Z) A) X)->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->(((eq a) ((F A2) B2)) ((G A2) B2)))))->((forall (A2:b) (B2:a), (((member_b A2) A)->(((member_a B2) B)->((member_a ((G A2) B2)) B))))->(((member_a Z) B)->((and ((((finite191915525ph_b_a F) Z) A) X)) ((member_a X) B))))))).
% 1.50/1.66 Axiom fact_44_comp__fun__idem_Ocomp__fun__idem:(forall (F:(b->(d->d))) (X:b), ((finite868010766em_b_d F)->(((eq (d->d)) ((comp_d_d_d (F X)) (F X))) (F X)))).
% 1.50/1.66 Axiom fact_45_comp__fun__idem_Ocomp__fun__idem:(forall (F:(a->(c->c))) (X:a), ((finite40241358em_a_c F)->(((eq (c->c)) ((comp_c_c_c (F X)) (F X))) (F X)))).
% 1.50/1.66 Axiom fact_46_comp__fun__idem_Ofun__left__idem:(forall (F:(b->(d->d))) (X:b) (Z:d), ((finite868010766em_b_d F)->(((eq d) ((F X) ((F X) Z))) ((F X) Z)))).
% 1.50/1.66 Axiom fact_47_comp__fun__idem_Ofun__left__idem:(forall (F:(a->(c->c))) (X:a) (Z:c), ((finite40241358em_a_c F)->(((eq c) ((F X) ((F X) Z))) ((F X) Z)))).
% 1.50/1.66 Axiom fact_48_comp__fun__idem_Ocomp__comp__fun__idem:(forall (F:(a->(c->c))) (G:(b->a)), ((finite40241358em_a_c F)->(finite868010765em_b_c ((comp_a_c_c_b F) G)))).
% 1.50/1.66 Axiom fact_49_comp__fun__idem_Ocomp__comp__fun__idem:(forall (F:(b->(d->d))) (G:(b->b)), ((finite868010766em_b_d F)->(finite868010766em_b_d ((comp_b_d_d_b F) G)))).
% 1.50/1.66 Axiom fact_50_comp__fun__idem_Ocomp__comp__fun__idem:(forall (F:(a->(c->c))) (G:(a->a)), ((finite40241358em_a_c F)->(finite40241358em_a_c ((comp_a_c_c_a F) G)))).
% 1.50/1.66 Axiom fact_51_comp__apply:(((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_52_comp__apply:(((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_53_comp__apply:(((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_54_comp__apply:(((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_55_comp__apply:(((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_56_comp__apply:(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_57_comp__apply:(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))).
% 1.50/1.66 Axiom fact_58_rel__funI:(forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_b_a_b A) B) F) G))).
% 1.50/1.66 Axiom fact_59_rel__funI:(forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1979731817_c_d_d A) B) F) G))).
% 1.50/1.66 Axiom fact_60_rel__funI:(forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re1143700905_c_c_c A) B) F) G))).
% 1.50/1.66 Axiom fact_61_rel__funI:(forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_b A) B) F) G))).
% 1.50/1.66 Axiom fact_62_rel__funI:(forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_a_a_a_a A) B) F) G))).
% 1.50/1.66 Axiom fact_63_rel__funI:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_re802603882_c_d_d A) B) F) G))).
% 1.50/1.66 Axiom fact_64_rel__funI:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((A X2) Y2)->((B (F X2)) (G Y2))))->((((bNF_rel_fun_c_d_c_d A) B) F) G))).
% 1.50/1.66 Axiom fact_65_If__transfer:(forall (A:(a->(b->Prop))), ((((bNF_re588060702_b_b_b (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re569932906_a_b_b A) ((bNF_rel_fun_a_b_a_b A) A))) if_a) if_b)).
% 1.50/1.66 Axiom fact_66_If__transfer:(forall (A:(a->(a->Prop))), ((((bNF_re1705765981_a_a_a (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re911029929_a_a_a A) ((bNF_rel_fun_a_a_a_a A) A))) if_a) if_a)).
% 1.50/1.66 Axiom fact_67_If__transfer:(forall (A:(c->(d->Prop))), ((((bNF_re647211934_d_d_d (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))) ((bNF_re1972258794_c_d_d A) ((bNF_rel_fun_c_d_c_d A) A))) if_c) if_d)).
% 1.50/1.66 Axiom fact_68_rel__fun__def__butlast:(forall (R:(a->(a->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), (((eq Prop) ((((bNF_re1979731817_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3)))))).
% 1.50/1.66 Axiom fact_69_rel__fun__def__butlast:(forall (R:(a->(a->Prop))) (S2:(c->(c->Prop))) (T:(c->(c->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), (((eq Prop) ((((bNF_re1143700905_c_c_c R) ((bNF_rel_fun_c_c_c_c S2) T)) F) G)) (forall (X3:a) (Y3:a), (((R X3) Y3)->((((bNF_rel_fun_c_c_c_c S2) T) (F X3)) (G Y3)))))).
% 1.50/1.66 Axiom fact_70_rel__fun__def__butlast:(forall (R:(a->(b->Prop))) (S2:(c->(d->Prop))) (T:(c->(d->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), (((eq Prop) ((((bNF_re802603882_c_d_d R) ((bNF_rel_fun_c_d_c_d S2) T)) F) G)) (forall (X3:a) (Y3:b), (((R X3) Y3)->((((bNF_rel_fun_c_d_c_d S2) T) (F X3)) (G Y3)))))).
% 1.50/1.66 Axiom fact_71_o__rsp_I2_J:(forall (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d (fun (Y4:(b->(d->d))) (Z2:(b->(d->d)))=> (((eq (b->(d->d))) Y4) Z2))) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1844863849_d_d_d R1) (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))))) comp_b_d_d_b) comp_b_d_d_b)).
% 1.50/1.66 Axiom fact_72_o__rsp_I2_J:(forall (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1143700905_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_a)).
% 1.50/1.66 Axiom fact_73_o__rsp_I2_J:(forall (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_rel_fun_b_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_b)).
% 1.50/1.66 Axiom fact_74_o__rsp_I2_J:(forall (R1:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_rel_fun_a_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_a) comp_a_a_a)).
% 1.50/1.66 Axiom fact_75_o__rsp_I2_J:(forall (R1:(a->(b->Prop))), ((((bNF_re1311853791_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1665173865_b_c_c ((bNF_rel_fun_a_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re2114056618_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_a) comp_a_c_c_b)).
% 1.50/1.66 Axiom fact_76_o__rsp_I2_J:(forall (R1:((d->d)->(b->Prop))), ((((bNF_re1138812345_b_b_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re323253981_b_b_b ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1703323451_b_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_d_d) comp_b_b_b)).
% 1.50/1.66 Axiom fact_77_o__rsp_I2_J:(forall (R1:(b->((d->d)->Prop))), ((((bNF_re961930425_d_d_b (fun (Y4:(b->b)) (Z2:(b->b))=> (((eq (b->b)) Y4) Z2))) ((bNF_re1794062813_d_d_b ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2)))) ((bNF_re1573506119_d_b_b R1) (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))))) comp_b_b_b) comp_b_b_d_d)).
% 1.50/1.66 Axiom fact_78_o__rsp_I2_J:(forall (R1:(b->(a->Prop))), ((((bNF_re978949211_a_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1591514407_a_c_c ((bNF_rel_fun_b_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re758172648_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_a)).
% 1.50/1.66 Axiom fact_79_o__rsp_I2_J:(forall (R1:(b->(b->Prop))), ((((bNF_re1409962461_b_c_c (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))) ((bNF_re1565463783_b_c_c ((bNF_rel_fun_b_b_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1728528361_c_c_c R1) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))))) comp_a_c_c_b) comp_a_c_c_b)).
% 1.50/1.66 Axiom fact_80_o__rsp_I2_J:(forall (R1:((c->c)->(a->Prop))), ((((bNF_re1503602041_a_a_a (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))) ((bNF_re1177671453_a_a_a ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) ((bNF_re1424579386_a_a_a R1) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))) comp_a_a_c_c) comp_a_a_a)).
% 1.50/1.66 Axiom fact_81_o__rsp_I1_J:(forall (R2:(c->(d->Prop))) (R3:(c->(d->Prop))) (R1:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d R2) R3)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d R1) R2)) ((bNF_rel_fun_c_d_c_d R1) R3))) comp_c_c_c) comp_d_d_d)).
% 1.50/1.66 Axiom fact_82_o__rsp_I1_J:(forall (R2:(b->(b->Prop))) (R3:((d->d)->((d->d)->Prop))) (R1:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d R2) R3)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_re1844863849_d_d_d R1) R3))) comp_b_d_d_b) comp_b_d_d_b)).
% 1.50/1.66 Axiom fact_83_o__rsp_I1_J:(forall (R2:(b->(a->Prop))) (R3:((d->d)->((c->c)->Prop))) (R1:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c R2) R3)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_re38477224_d_c_c R1) R3))) comp_b_d_d_b) comp_a_c_c_a)).
% 1.50/1.66 Axiom fact_84_o__rsp_I1_J:(forall (R2:(a->(a->Prop))) (R3:((c->c)->((c->c)->Prop))) (R1:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c R2) R3)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a R1) R2)) ((bNF_re1143700905_c_c_c R1) R3))) comp_a_c_c_a) comp_a_c_c_a)).
% 1.50/1.67 Axiom fact_85_o__rsp_I1_J:(forall (R2:(a->(b->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d R2) R3)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_a_c_c_a) comp_b_d_d_b)).
% 1.50/1.67 Axiom fact_86_o__rsp_I1_J:(forall (R2:((c->c)->((d->d)->Prop))) (R3:((c->c)->((d->d)->Prop))) (R1:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d R2) R3)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d R1) R2)) ((bNF_re802603882_c_d_d R1) R3))) comp_c_c_c_c_a) comp_d_d_d_d_b)).
% 1.50/1.67 Axiom fact_87_o__rsp_I1_J:(forall (R2:(b->(b->Prop))) (R3:(b->(b->Prop))) (R1:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b R2) R3)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b R1) R2)) ((bNF_rel_fun_b_b_b_b R1) R3))) comp_b_b_b) comp_b_b_b)).
% 1.50/1.67 Axiom fact_88_o__rsp_I1_J:(forall (R2:(b->(a->Prop))) (R3:(b->(a->Prop))) (R1:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a R2) R3)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a R1) R2)) ((bNF_rel_fun_b_a_b_a R1) R3))) comp_b_b_b) comp_a_a_a)).
% 1.50/1.67 Axiom fact_89_o__rsp_I1_J:(forall (R2:(a->(b->Prop))) (R3:(a->(a->Prop))) (R1:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a R2) R3)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b R1) R2)) ((bNF_rel_fun_a_a_a_a R1) R3))) comp_a_a_a) comp_b_a_a)).
% 1.50/1.67 Axiom fact_90_o__rsp_I1_J:(forall (R2:(a->(b->Prop))) (R3:(a->(b->Prop))) (R1:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b R2) R3)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b R1) R2)) ((bNF_rel_fun_a_b_a_b R1) R3))) comp_a_a_a) comp_b_b_b)).
% 1.50/1.67 Axiom fact_91_fun_Omap__transfer:(forall (Rb:(b->(b->Prop))) (Sd:((d->d)->((d->d)->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d Rb) Sd)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re1844863849_d_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_d_d_b) comp_b_d_d_b)).
% 1.50/1.67 Axiom fact_92_fun_Omap__transfer:(forall (Rb:(a->(a->Prop))) (Sd:((c->c)->((c->c)->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c Rb) Sd)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_a_c_c_a)).
% 1.50/1.67 Axiom fact_93_fun_Omap__transfer:(forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re1160226589_b_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1661760168_b_d_d ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_re417075625_c_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_c_c_b) comp_b_d_d_b)).
% 1.50/1.67 Axiom fact_94_fun_Omap__transfer:(forall (Rb:(a->(b->Prop))) (Sd:((c->c)->((d->d)->Prop))), ((((bNF_re631104669_a_d_d ((bNF_re802603882_c_d_d Rb) Sd)) ((bNF_re1787520874_a_d_d ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_c_c_a) comp_b_d_d_a)).
% 1.50/1.67 Axiom fact_95_fun_Omap__transfer:(forall (Rb:(b->(b->Prop))) (Sd:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b Rb) Sd)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_b_b_b) comp_b_b_b)).
% 1.50/1.67 Axiom fact_96_fun_Omap__transfer:(forall (Rb:(a->(b->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a Rb) Sd)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_a_a)).
% 1.50/1.67 Axiom fact_97_fun_Omap__transfer:(forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re774352699_b_b_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re668686835_a_b_b ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Rb)) ((bNF_rel_fun_b_b_a_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Sd))) comp_a_a_b) comp_b_b_b)).
% 1.50/1.67 Axiom fact_98_fun_Omap__transfer:(forall (Rb:(a->(b->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re796114495_b_a_b ((bNF_rel_fun_a_b_a_b Rb) Sd)) ((bNF_re865643767_a_a_b ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_b_b_a)).
% 1.50/1.67 Axiom fact_99_fun_Omap__transfer:(forall (Rb:(a->(a->Prop))) (Sd:(a->(b->Prop))), ((((bNF_re1514436479_a_a_b ((bNF_rel_fun_a_a_a_b Rb) Sd)) ((bNF_re1698572662_a_a_b ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_b_a)).
% 1.50/1.67 Axiom fact_100_fun_Omap__transfer:(forall (Rb:(a->(a->Prop))) (Sd:(a->(a->Prop))), ((((bNF_re1258259453_a_a_a ((bNF_rel_fun_a_a_a_a Rb) Sd)) ((bNF_re1690311157_a_a_a ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Rb)) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sd))) comp_a_a_a) comp_a_a_a)).
% 1.50/1.67 Axiom fact_101_comp__transfer:(forall (B:(c->(d->Prop))) (C:(c->(d->Prop))) (A:(c->(d->Prop))), ((((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d A) C))) comp_c_c_c) comp_d_d_d)).
% 1.50/1.67 Axiom fact_102_comp__transfer:(forall (B:(b->(b->Prop))) (C:((d->d)->((d->d)->Prop))) (A:(b->(b->Prop))), ((((bNF_re742509149_b_d_d ((bNF_re1844863849_d_d_d B) C)) ((bNF_re1412708073_b_d_d ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_re1844863849_d_d_d A) C))) comp_b_d_d_b) comp_b_d_d_b)).
% 1.50/1.67 Axiom fact_103_comp__transfer:(forall (B:(b->(a->Prop))) (C:((d->d)->((c->c)->Prop))) (A:(b->(a->Prop))), ((((bNF_re561231771_a_c_c ((bNF_re38477224_d_c_c B) C)) ((bNF_re1342462312_a_c_c ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_re38477224_d_c_c A) C))) comp_b_d_d_b) comp_a_c_c_a)).
% 1.50/1.67 Axiom fact_104_comp__transfer:(forall (B:(a->(a->Prop))) (C:((c->c)->((c->c)->Prop))) (A:(a->(a->Prop))), ((((bNF_re880840541_a_c_c ((bNF_re1143700905_c_c_c B) C)) ((bNF_re1691224489_a_c_c ((bNF_rel_fun_a_a_a_a A) B)) ((bNF_re1143700905_c_c_c A) C))) comp_a_c_c_a) comp_a_c_c_a)).
% 1.50/1.67 Axiom fact_105_comp__transfer:(forall (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re1062117919_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re1761470250_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re802603882_c_d_d A) C))) comp_a_c_c_a) comp_b_d_d_b)).
% 1.50/1.67 Axiom fact_106_comp__transfer:(forall (B:((c->c)->((d->d)->Prop))) (C:((c->c)->((d->d)->Prop))) (A:(a->(b->Prop))), ((((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d B) C)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d A) C))) comp_c_c_c_c_a) comp_d_d_d_d_b)).
% 1.50/1.67 Axiom fact_107_comp__transfer:(forall (B:(b->(b->Prop))) (C:(b->(b->Prop))) (A:(b->(b->Prop))), ((((bNF_re1222471293_b_b_b ((bNF_rel_fun_b_b_b_b B) C)) ((bNF_re2075418869_b_b_b ((bNF_rel_fun_b_b_b_b A) B)) ((bNF_rel_fun_b_b_b_b A) C))) comp_b_b_b) comp_b_b_b)).
% 1.50/1.67 Axiom fact_108_comp__transfer:(forall (B:(b->(a->Prop))) (C:(b->(a->Prop))) (A:(b->(a->Prop))), ((((bNF_re1645058365_a_a_a ((bNF_rel_fun_b_a_b_a B) C)) ((bNF_re310361461_b_a_a ((bNF_rel_fun_b_a_b_a A) B)) ((bNF_rel_fun_b_a_b_a A) C))) comp_b_b_b) comp_a_a_a)).
% 1.50/1.67 Axiom fact_109_comp__transfer:(forall (B:(a->(b->Prop))) (C:(a->(a->Prop))) (A:(a->(a->Prop))), ((((bNF_re539937469_b_a_a ((bNF_rel_fun_a_b_a_a B) C)) ((bNF_re857382262_a_a_a ((bNF_rel_fun_a_a_a_b A) B)) ((bNF_rel_fun_a_a_a_a A) C))) comp_a_a_a) comp_b_a_a)).
% 1.50/1.67 Axiom fact_110_comp__transfer:(forall (B:(a->(b->Prop))) (C:(a->(b->Prop))) (A:(a->(b->Prop))), ((((bNF_re835672381_b_b_b ((bNF_rel_fun_a_b_a_b B) C)) ((bNF_re1307884917_a_b_b ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_rel_fun_a_b_a_b A) C))) comp_a_a_a) comp_b_b_b)).
% 1.50/1.67 Axiom fact_111_comp__fun__idem_Ointro:(forall (F:(a->(c->c))), ((finite746615251te_a_c F)->((finite19304177ms_a_c F)->(finite40241358em_a_c F)))).
% 1.50/1.67 Axiom fact_112_comp__fun__idem_Ointro:(forall (F:(b->(d->d))), ((finite1574384659te_b_d F)->((finite847073585ms_b_d F)->(finite868010766em_b_d F)))).
% 1.50/1.67 Axiom fact_113_comp__fun__idem__def:(((eq ((a->(c->c))->Prop)) finite40241358em_a_c) (fun (F2:(a->(c->c)))=> ((and (finite746615251te_a_c F2)) (finite19304177ms_a_c F2)))).
% 1.50/1.67 Axiom fact_114_comp__fun__idem__def:(((eq ((b->(d->d))->Prop)) finite868010766em_b_d) (fun (F2:(b->(d->d)))=> ((and (finite1574384659te_b_d F2)) (finite847073585ms_b_d F2)))).
% 1.50/1.67 Axiom fact_115_comp__fun__idem_Oaxioms_I2_J:(forall (F:(b->(d->d))), ((finite868010766em_b_d F)->(finite847073585ms_b_d F))).
% 1.50/1.67 Axiom fact_116_comp__fun__idem_Oaxioms_I2_J:(forall (F:(a->(c->c))), ((finite40241358em_a_c F)->(finite19304177ms_a_c F))).
% 1.50/1.67 Axiom fact_117_comp__fun__idem__axioms_Ointro:(forall (F:(b->(d->d))), ((forall (X2:b), (((eq (d->d)) ((comp_d_d_d (F X2)) (F X2))) (F X2)))->(finite847073585ms_b_d F))).
% 1.50/1.67 Axiom fact_118_comp__fun__idem__axioms_Ointro:(forall (F:(a->(c->c))), ((forall (X2:a), (((eq (c->c)) ((comp_c_c_c (F X2)) (F X2))) (F X2)))->(finite19304177ms_a_c F))).
% 1.50/1.67 Axiom fact_119_comp__fun__idem__axioms__def:(((eq ((b->(d->d))->Prop)) finite847073585ms_b_d) (fun (F2:(b->(d->d)))=> (forall (X3:b), (((eq (d->d)) ((comp_d_d_d (F2 X3)) (F2 X3))) (F2 X3))))).
% 1.50/1.67 Axiom fact_120_comp__fun__idem__axioms__def:(((eq ((a->(c->c))->Prop)) finite19304177ms_a_c) (fun (F2:(a->(c->c)))=> (forall (X3:a), (((eq (c->c)) ((comp_c_c_c (F2 X3)) (F2 X3))) (F2 X3))))).
% 1.50/1.67 Axiom fact_121_fun_Orel__transfer:(forall (Sa:(a->(b->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1071888283_a_b_o ((bNF_re418251421_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1217999849_a_b_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_122_fun_Orel__transfer:(forall (Sa:(a->(b->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1310167325_a_a_o ((bNF_re1977372894_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re390230442_a_a_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_123_fun_Orel__transfer:(forall (Sa:(a->(a->Prop))) (Sc:(b->(b->Prop))), ((((bNF_re2141181021_a_b_o ((bNF_re250254555_o_b_o Sa) ((bNF_rel_fun_b_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1812319081_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1088547499_b_o_o ((bNF_rel_fun_a_a_b_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_124_fun_Orel__transfer:(forall (Sa:(a->(a->Prop))) (Sc:(b->(a->Prop))), ((((bNF_re231976415_a_a_o ((bNF_re1809376028_o_a_o Sa) ((bNF_rel_fun_b_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re984549674_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1906994858_a_o_o ((bNF_rel_fun_a_a_b_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_125_fun_Orel__transfer:(forall (Sa:(a->(a->Prop))) (Sc:(a->(b->Prop))), ((((bNF_re1165460699_a_b_o ((bNF_re131001756_o_b_o Sa) ((bNF_rel_fun_a_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re581117672_a_b_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1463366826_b_o_o ((bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_126_fun_Orel__transfer:(forall (Sa:(a->(a->Prop))) (Sc:(a->(a->Prop))), ((((bNF_re1403739741_a_a_o ((bNF_re1690123229_o_a_o Sa) ((bNF_rel_fun_a_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1900831913_a_a_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re134330537_a_o_o ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_127_fun_Orel__transfer:(forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(b->Prop))), ((((bNF_re1133483099_a_b_o ((bNF_re1895239662_o_b_o Sa) ((bNF_re199323387_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re332737826_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re802276445_b_o_o ((bNF_re2038021755_d_d_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_128_fun_Orel__transfer:(forall (Sa:((c->c)->(a->Prop))) (Sc:((d->d)->(a->Prop))), ((((bNF_re145798749_a_a_o ((bNF_re1306877487_o_a_o Sa) ((bNF_re991543930_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1652452067_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1620723804_a_o_o ((bNF_re2038021754_d_d_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1979731817_c_d_d (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_129_fun_Orel__transfer:(forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(b->Prop))), ((((bNF_re708047067_a_b_o ((bNF_re2038641070_o_b_o Sa) ((bNF_re90976443_b_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re364411746_a_b_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re1256092317_b_o_o ((bNF_re950444091_c_c_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_b (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_130_fun_Orel__transfer:(forall (Sa:((c->c)->(a->Prop))) (Sc:((c->c)->(a->Prop))), ((((bNF_re1867846365_a_a_o ((bNF_re1450278895_o_a_o Sa) ((bNF_re883196986_a_o_o Sc) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1684125987_a_a_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sa)) ((bNF_re2074539676_a_o_o ((bNF_re950444090_c_c_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Sc)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) (bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))))).
% 1.50/1.67 Axiom fact_131_fun_Orel__refl:(forall (Ra:((c->c)->((c->c)->Prop))) (X:(a->(c->c))), ((forall (X2:(c->c)), ((Ra X2) X2))->((((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X))).
% 1.50/1.67 Axiom fact_132_fun_Orel__refl:(forall (Ra:(a->(a->Prop))) (X:(a->a)), ((forall (X2:a), ((Ra X2) X2))->((((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Ra) X) X))).
% 1.50/1.67 Axiom fact_133_fun_Orel__eq:(((eq ((a->(c->c))->((a->(c->c))->Prop))) ((bNF_re1143700905_c_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2)))) (fun (Y4:(a->(c->c))) (Z2:(a->(c->c)))=> (((eq (a->(c->c))) Y4) Z2))).
% 1.50/1.67 Axiom fact_134_fun_Orel__eq:(((eq ((a->a)->((a->a)->Prop))) ((bNF_rel_fun_a_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2)))) (fun (Y4:(a->a)) (Z2:(a->a))=> (((eq (a->a)) Y4) Z2))).
% 1.50/1.67 Axiom fact_135_rel__fun__mono_H:(forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((((bNF_rel_fun_a_b_a_b Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_136_rel__fun__mono_H:(forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1979731817_c_d_d X4) A) F) G)->((((bNF_re1979731817_c_d_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_137_rel__fun__mono_H:(forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re1143700905_c_c_c X4) A) F) G)->((((bNF_re1143700905_c_c_c Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_138_rel__fun__mono_H:(forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((((bNF_rel_fun_a_a_a_b Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_139_rel__fun__mono_H:(forall (Y5:(a->(a->Prop))) (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)), ((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((((bNF_rel_fun_a_a_a_a Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_140_rel__fun__mono_H:(forall (Y5:(a->(b->Prop))) (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))), ((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_re802603882_c_d_d X4) A) F) G)->((((bNF_re802603882_c_d_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_141_rel__fun__mono_H:(forall (Y5:(c->(d->Prop))) (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)), ((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->(((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((((bNF_rel_fun_c_d_c_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_142_rel__fun__mono:(forall (X4:(a->(b->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (Y5:(a->(b->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_b_a_b X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_b_a_b Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_143_rel__fun__mono:(forall (X4:(a->(a->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (Y5:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re1979731817_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1979731817_c_d_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_144_rel__fun__mono:(forall (X4:(a->(a->Prop))) (A:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (Y5:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), (((((bNF_re1143700905_c_c_c X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(c->c)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re1143700905_c_c_c Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_145_rel__fun__mono:(forall (X4:(a->(a->Prop))) (A:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (Y5:(a->(a->Prop))) (B:(a->(b->Prop))), (((((bNF_rel_fun_a_a_a_b X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:b), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_b Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_146_rel__fun__mono:(forall (X4:(a->(a->Prop))) (A:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (Y5:(a->(a->Prop))) (B:(a->(a->Prop))), (((((bNF_rel_fun_a_a_a_a X4) A) F) G)->((forall (X2:a) (Y2:a), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:a) (Y2:a), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_a_a_a_a Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_147_rel__fun__mono:(forall (X4:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (Y5:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), (((((bNF_re802603882_c_d_d X4) A) F) G)->((forall (X2:a) (Y2:b), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:(c->c)) (Y2:(d->d)), (((A X2) Y2)->((B X2) Y2)))->((((bNF_re802603882_c_d_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_148_rel__fun__mono:(forall (X4:(c->(d->Prop))) (A:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (Y5:(c->(d->Prop))) (B:(c->(d->Prop))), (((((bNF_rel_fun_c_d_c_d X4) A) F) G)->((forall (X2:c) (Y2:d), (((Y5 X2) Y2)->((X4 X2) Y2)))->((forall (X2:c) (Y2:d), (((A X2) Y2)->((B X2) Y2)))->((((bNF_rel_fun_c_d_c_d Y5) B) F) G))))).
% 1.53/1.68 Axiom fact_149_let__rsp:(forall (R1:(a->(b->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b R1) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_150_let__rsp:(forall (R1:(a->(a->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d R1) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_151_let__rsp:(forall (R1:(a->(a->Prop))) (R2:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c R1) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_152_let__rsp:(forall (R1:(a->(a->Prop))) (R2:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b R1) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_153_let__rsp:(forall (R1:(a->(a->Prop))) (R2:(a->(a->Prop))), ((((bNF_re865741149_a_a_a R1) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a R1) R2)) R2)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_154_let__rsp:(forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d R1) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d R1) R2)) R2)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_155_let__rsp:(forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d R1) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d R1) R2)) R2)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3)))).
% 1.53/1.68 Axiom fact_156_rel__funD:(forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(b->b)) (X:a) (Y:b), (((((bNF_rel_fun_a_b_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_157_rel__funD:(forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(a->(d->d))) (X:a) (Y:a), (((((bNF_re1979731817_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_158_rel__funD:(forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))) (F:(a->(c->c))) (G:(a->(c->c))) (X:a) (Y:a), (((((bNF_re1143700905_c_c_c A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_159_rel__funD:(forall (A:(a->(a->Prop))) (B:(a->(b->Prop))) (F:(a->a)) (G:(a->b)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_b A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_160_rel__funD:(forall (A:(a->(a->Prop))) (B:(a->(a->Prop))) (F:(a->a)) (G:(a->a)) (X:a) (Y:a), (((((bNF_rel_fun_a_a_a_a A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_161_rel__funD:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_162_rel__funD:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.68 Axiom fact_163_rewriteR__comp__comp2:(forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->(d->d))) (L:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(d->d))) ((comp_b_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22))))).
% 1.53/1.68 Axiom fact_164_rewriteR__comp__comp2:(forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22))))).
% 1.53/1.68 Axiom fact_165_rewriteR__comp__comp2:(forall (G:(b->(d->d))) (H:(b->b)) (R12:(b->(d->d))) (R22:(b->b)) (F:((d->d)->(d->d))) (L:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) ((comp_b_d_d_b R12) R22))->((((eq (b->(d->d))) ((comp_d_d_d_d_b F) R12)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_b_d_d_b L) R22))))).
% 1.53/1.68 Axiom fact_166_rewriteR__comp__comp2:(forall (G:(a->(c->c))) (H:(a->a)) (R12:(a->(c->c))) (R22:(a->a)) (F:((c->c)->(c->c))) (L:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) ((comp_a_c_c_a R12) R22))->((((eq (a->(c->c))) ((comp_c_c_c_c_a F) R12)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_a_c_c_a L) R22))))).
% 1.53/1.68 Axiom fact_167_rewriteR__comp__comp2:(forall (G:(b->b)) (H:(b->b)) (R12:(b->b)) (R22:(b->b)) (F:(b->b)) (L:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->b)) ((comp_b_b_b F) R12)) L)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b L) R22))))).
% 1.53/1.68 Axiom fact_168_rewriteR__comp__comp2:(forall (G:(a->a)) (H:(a->a)) (R12:(a->a)) (R22:(a->a)) (F:(a->a)) (L:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) ((comp_a_a_a R12) R22))->((((eq (a->a)) ((comp_a_a_a F) R12)) L)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a L) R22))))).
% 1.53/1.68 Axiom fact_169_rewriteR__comp__comp2:(forall (G:(b->a)) (H:(b->b)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b L) R22))))).
% 1.53/1.68 Axiom fact_170_rewriteR__comp__comp2:(forall (G:(a->a)) (H:(b->a)) (R12:(a->a)) (R22:(b->a)) (F:(a->(c->c))) (L:(a->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_a_a_b R12) R22))->((((eq (a->(c->c))) ((comp_a_c_c_a F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_b L) R22))))).
% 1.53/1.68 Axiom fact_171_rewriteR__comp__comp2:(forall (G:(a->a)) (H:(b->a)) (R12:(b->a)) (R22:(b->b)) (F:(a->(c->c))) (L:(b->(c->c))), ((((eq (b->a)) ((comp_a_a_b G) H)) ((comp_b_a_b R12) R22))->((((eq (b->(c->c))) ((comp_a_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_a_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22))))).
% 1.53/1.68 Axiom fact_172_rewriteR__comp__comp2:(forall (G:(a->b)) (H:(b->a)) (R12:(b->b)) (R22:(b->b)) (F:(b->(c->c))) (L:(b->(c->c))), ((((eq (b->b)) ((comp_a_b_b G) H)) ((comp_b_b_b R12) R22))->((((eq (b->(c->c))) ((comp_b_c_c_b F) R12)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b ((comp_b_c_c_a F) G)) H)) ((comp_b_c_c_b L) R22))))).
% 1.53/1.68 Axiom fact_173_rewriteL__comp__comp2:(forall (F:(b->(d->d))) (G:(b->b)) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L1) R4))))).
% 1.53/1.68 Axiom fact_174_rewriteL__comp__comp2:(forall (F:(a->(c->c))) (G:(a->a)) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L1) R4))))).
% 1.53/1.68 Axiom fact_175_rewriteL__comp__comp2:(forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L1:(b->(d->d))) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) ((comp_b_d_d_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L1) R4))))).
% 1.53/1.68 Axiom fact_176_rewriteL__comp__comp2:(forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L1:(a->(c->c))) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) ((comp_a_c_c_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L1) R4))))).
% 1.53/1.68 Axiom fact_177_rewriteL__comp__comp2:(forall (F:(b->(d->d))) (G:(b->b)) (L1:((d->d)->(d->d))) (L2:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) ((comp_d_d_d_d_b L1) L2))->((((eq (b->(d->d))) ((comp_b_d_d_b L2) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_d_d_d_d_b L1) R4))))).
% 1.53/1.68 Axiom fact_178_rewriteL__comp__comp2:(forall (F:(a->(c->c))) (G:(a->a)) (L1:((c->c)->(c->c))) (L2:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) ((comp_c_c_c_c_a L1) L2))->((((eq (a->(c->c))) ((comp_a_c_c_a L2) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_c_c_c_c_a L1) R4))))).
% 1.53/1.68 Axiom fact_179_rewriteL__comp__comp2:(forall (F:(b->b)) (G:(b->b)) (L1:(b->b)) (L2:(b->b)) (H:(b->b)) (R4:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) ((comp_b_b_b L1) L2))->((((eq (b->b)) ((comp_b_b_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L1) R4))))).
% 1.53/1.68 Axiom fact_180_rewriteL__comp__comp2:(forall (F:(a->a)) (G:(a->a)) (L1:(a->a)) (L2:(a->a)) (H:(a->a)) (R4:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) ((comp_a_a_a L1) L2))->((((eq (a->a)) ((comp_a_a_a L2) H)) R4)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L1) R4))))).
% 1.53/1.68 Axiom fact_181_rewriteL__comp__comp2:(forall (F:((c->c)->b)) (G:(a->(c->c))) (L1:(b->b)) (L2:(a->b)) (H:(b->a)) (R4:(b->b)), ((((eq (a->b)) ((comp_c_c_b_a F) G)) ((comp_b_b_a L1) L2))->((((eq (b->b)) ((comp_a_b_b L2) H)) R4)->(((eq (b->b)) ((comp_c_c_b_b F) ((comp_a_c_c_b G) H))) ((comp_b_b_b L1) R4))))).
% 1.53/1.68 Axiom fact_182_rewriteL__comp__comp2:(forall (F:(b->b)) (G:(a->b)) (L1:((c->c)->b)) (L2:(a->(c->c))) (H:(b->a)) (R4:(b->(c->c))), ((((eq (a->b)) ((comp_b_b_a F) G)) ((comp_c_c_b_a L1) L2))->((((eq (b->(c->c))) ((comp_a_c_c_b L2) H)) R4)->(((eq (b->b)) ((comp_b_b_b F) ((comp_a_b_b G) H))) ((comp_c_c_b_b L1) R4))))).
% 1.53/1.68 Axiom fact_183_rewriteR__comp__comp:(forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->(d->d))), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) R4)))).
% 1.53/1.68 Axiom fact_184_rewriteR__comp__comp:(forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) R4)))).
% 1.53/1.68 Axiom fact_185_rewriteR__comp__comp:(forall (G:(b->(d->d))) (H:(b->b)) (R4:(b->(d->d))) (F:((d->d)->(d->d))), ((((eq (b->(d->d))) ((comp_b_d_d_b G) H)) R4)->(((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) R4)))).
% 1.53/1.68 Axiom fact_186_rewriteR__comp__comp:(forall (G:(a->(c->c))) (H:(a->a)) (R4:(a->(c->c))) (F:((c->c)->(c->c))), ((((eq (a->(c->c))) ((comp_a_c_c_a G) H)) R4)->(((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) R4)))).
% 1.53/1.68 Axiom fact_187_rewriteR__comp__comp:(forall (G:(b->b)) (H:(b->b)) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_b_b_b G) H)) R4)->(((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) R4)))).
% 1.53/1.68 Axiom fact_188_rewriteR__comp__comp:(forall (G:(a->a)) (H:(a->a)) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_a_a_a G) H)) R4)->(((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) R4)))).
% 1.53/1.68 Axiom fact_189_rewriteR__comp__comp:(forall (G:((d->d)->b)) (H:(b->(d->d))) (R4:(b->b)) (F:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b G) H)) R4)->(((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) R4)))).
% 1.53/1.68 Axiom fact_190_rewriteR__comp__comp:(forall (G:(b->a)) (H:(a->b)) (R4:(a->a)) (F:(a->(c->c))), ((((eq (a->a)) ((comp_b_a_a G) H)) R4)->(((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) R4)))).
% 1.53/1.68 Axiom fact_191_rewriteR__comp__comp:(forall (G:(b->a)) (H:(b->b)) (R4:(b->a)) (F:(a->(c->c))), ((((eq (b->a)) ((comp_b_a_b G) H)) R4)->(((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) R4)))).
% 1.53/1.68 Axiom fact_192_rewriteR__comp__comp:(forall (G:((c->c)->a)) (H:(a->(c->c))) (R4:(a->a)) (F:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a G) H)) R4)->(((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) R4)))).
% 1.53/1.69 Axiom fact_193_rewriteL__comp__comp:(forall (F:(b->(d->d))) (G:(b->b)) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_b_d_d_b F) ((comp_b_b_b G) H))) ((comp_b_d_d_b L) H)))).
% 1.53/1.69 Axiom fact_194_rewriteL__comp__comp:(forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_a_c_c_a F) ((comp_a_a_a G) H))) ((comp_a_c_c_a L) H)))).
% 1.53/1.69 Axiom fact_195_rewriteL__comp__comp:(forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (L:(b->(d->d))) (H:(b->b)), ((((eq (b->(d->d))) ((comp_d_d_d_d_b F) G)) L)->(((eq (b->(d->d))) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H))) ((comp_b_d_d_b L) H)))).
% 1.53/1.69 Axiom fact_196_rewriteL__comp__comp:(forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (L:(a->(c->c))) (H:(a->a)), ((((eq (a->(c->c))) ((comp_c_c_c_c_a F) G)) L)->(((eq (a->(c->c))) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H))) ((comp_a_c_c_a L) H)))).
% 1.53/1.69 Axiom fact_197_rewriteL__comp__comp:(forall (F:(b->b)) (G:(b->b)) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_b_b_b F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_b_b_b G) H))) ((comp_b_b_b L) H)))).
% 1.53/1.69 Axiom fact_198_rewriteL__comp__comp:(forall (F:(a->a)) (G:(a->a)) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) L)->(((eq (a->a)) ((comp_a_a_a F) ((comp_a_a_a G) H))) ((comp_a_a_a L) H)))).
% 1.53/1.69 Axiom fact_199_rewriteL__comp__comp:(forall (F:((d->d)->b)) (G:(b->(d->d))) (L:(b->b)) (H:(b->b)), ((((eq (b->b)) ((comp_d_d_b_b F) G)) L)->(((eq (b->b)) ((comp_d_d_b_b F) ((comp_b_d_d_b G) H))) ((comp_b_b_b L) H)))).
% 1.53/1.69 Axiom fact_200_rewriteL__comp__comp:(forall (F:((c->c)->a)) (G:(a->(c->c))) (L:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_c_c_a_a F) G)) L)->(((eq (a->a)) ((comp_c_c_a_a F) ((comp_a_c_c_a G) H))) ((comp_a_a_a L) H)))).
% 1.53/1.69 Axiom fact_201_rewriteL__comp__comp:(forall (F:(a->(c->c))) (G:(a->a)) (L:(a->(c->c))) (H:(b->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a F) G)) L)->(((eq (b->(c->c))) ((comp_a_c_c_b F) ((comp_a_a_b G) H))) ((comp_a_c_c_b L) H)))).
% 1.53/1.69 Axiom fact_202_rewriteL__comp__comp:(forall (F:(b->b)) (G:((d->d)->b)) (L:((d->d)->b)) (H:(b->(d->d))), ((((eq ((d->d)->b)) ((comp_b_b_d_d F) G)) L)->(((eq (b->b)) ((comp_b_b_b F) ((comp_d_d_b_b G) H))) ((comp_d_d_b_b L) H)))).
% 1.53/1.69 Axiom fact_203_fun_Omap__comp:(forall (G:(b->(d->d))) (F:(b->b)) (V:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b G) ((comp_b_b_b F) V))) ((comp_b_d_d_b ((comp_b_d_d_b G) F)) V))).
% 1.53/1.69 Axiom fact_204_fun_Omap__comp:(forall (G:(a->(c->c))) (F:(a->a)) (V:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_a_a_a F) V))) ((comp_a_c_c_a ((comp_a_c_c_a G) F)) V))).
% 1.53/1.69 Axiom fact_205_fun_Omap__comp:(forall (G:((d->d)->(d->d))) (F:(b->(d->d))) (V:(b->b)), (((eq (b->(d->d))) ((comp_d_d_d_d_b G) ((comp_b_d_d_b F) V))) ((comp_b_d_d_b ((comp_d_d_d_d_b G) F)) V))).
% 1.53/1.69 Axiom fact_206_fun_Omap__comp:(forall (G:((c->c)->(c->c))) (F:(a->(c->c))) (V:(a->a)), (((eq (a->(c->c))) ((comp_c_c_c_c_a G) ((comp_a_c_c_a F) V))) ((comp_a_c_c_a ((comp_c_c_c_c_a G) F)) V))).
% 1.53/1.69 Axiom fact_207_fun_Omap__comp:(forall (G:(b->b)) (F:(b->b)) (V:(b->b)), (((eq (b->b)) ((comp_b_b_b G) ((comp_b_b_b F) V))) ((comp_b_b_b ((comp_b_b_b G) F)) V))).
% 1.53/1.69 Axiom fact_208_fun_Omap__comp:(forall (G:(a->a)) (F:(a->a)) (V:(a->a)), (((eq (a->a)) ((comp_a_a_a G) ((comp_a_a_a F) V))) ((comp_a_a_a ((comp_a_a_a G) F)) V))).
% 1.53/1.69 Axiom fact_209_fun_Omap__comp:(forall (G:((d->d)->b)) (F:(b->(d->d))) (V:(b->b)), (((eq (b->b)) ((comp_d_d_b_b G) ((comp_b_d_d_b F) V))) ((comp_b_b_b ((comp_d_d_b_b G) F)) V))).
% 1.53/1.69 Axiom fact_210_fun_Omap__comp:(forall (G:((c->c)->a)) (F:(a->(c->c))) (V:(a->a)), (((eq (a->a)) ((comp_c_c_a_a G) ((comp_a_c_c_a F) V))) ((comp_a_a_a ((comp_c_c_a_a G) F)) V))).
% 1.53/1.69 Axiom fact_211_fun_Omap__comp:(forall (G:(a->(c->c))) (F:(b->a)) (V:(a->b)), (((eq (a->(c->c))) ((comp_a_c_c_a G) ((comp_b_a_a F) V))) ((comp_b_c_c_a ((comp_a_c_c_b G) F)) V))).
% 1.53/1.69 Axiom fact_212_fun_Omap__comp:(forall (G:(b->b)) (F:(b->b)) (V:((d->d)->b)), (((eq ((d->d)->b)) ((comp_b_b_d_d G) ((comp_b_b_d_d F) V))) ((comp_b_b_d_d ((comp_b_b_b G) F)) V))).
% 1.53/1.69 Axiom fact_213_comp__apply__eq:(forall (F:(b->b)) (G:((d->d)->b)) (X:(d->d)) (H:(b->b)) (K:((d->d)->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_d_d F) G) X)) (((comp_b_b_d_d H) K) X)))).
% 1.53/1.69 Axiom fact_214_comp__apply__eq:(forall (F:(b->b)) (G:(b->b)) (X:b) (H:(b->b)) (K:(b->b)), ((((eq b) (F (G X))) (H (K X)))->(((eq b) (((comp_b_b_b F) G) X)) (((comp_b_b_b H) K) X)))).
% 1.53/1.69 Axiom fact_215_comp__apply__eq:(forall (F:(a->(c->c))) (G:(b->a)) (X:b) (H:(a->(c->c))) (K:(b->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_b F) G) X)) (((comp_a_c_c_b H) K) X)))).
% 1.53/1.69 Axiom fact_216_comp__apply__eq:(forall (F:(a->a)) (G:((c->c)->a)) (X:(c->c)) (H:(a->a)) (K:((c->c)->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_c_c F) G) X)) (((comp_a_a_c_c H) K) X)))).
% 1.53/1.69 Axiom fact_217_comp__apply__eq:(forall (F:(a->a)) (G:(a->a)) (X:a) (H:(a->a)) (K:(a->a)), ((((eq a) (F (G X))) (H (K X)))->(((eq a) (((comp_a_a_a F) G) X)) (((comp_a_a_a H) K) X)))).
% 1.53/1.69 Axiom fact_218_comp__apply__eq:(forall (F:(b->(d->d))) (G:(b->b)) (X:b) (H:(b->(d->d))) (K:(b->b)), ((((eq (d->d)) (F (G X))) (H (K X)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b H) K) X)))).
% 1.53/1.69 Axiom fact_219_comp__apply__eq:(forall (F:(a->(c->c))) (G:(a->a)) (X:a) (H:(a->(c->c))) (K:(a->a)), ((((eq (c->c)) (F (G X))) (H (K X)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a H) K) X)))).
% 1.53/1.69 Axiom fact_220_mem__Collect__eq:(forall (A3:a) (P:(a->Prop)), (((eq Prop) ((member_a A3) (collect_a P))) (P A3))).
% 1.53/1.69 Axiom fact_221_mem__Collect__eq:(forall (A3:c) (P:(c->Prop)), (((eq Prop) ((member_c A3) (collect_c P))) (P A3))).
% 1.53/1.69 Axiom fact_222_mem__Collect__eq:(forall (A3:b) (P:(b->Prop)), (((eq Prop) ((member_b A3) (collect_b P))) (P A3))).
% 1.53/1.69 Axiom fact_223_mem__Collect__eq:(forall (A3:d) (P:(d->Prop)), (((eq Prop) ((member_d A3) (collect_d P))) (P A3))).
% 1.53/1.69 Axiom fact_224_Collect__mem__eq:(forall (A:set_a), (((eq set_a) (collect_a (fun (X3:a)=> ((member_a X3) A)))) A)).
% 1.53/1.69 Axiom fact_225_Collect__mem__eq:(forall (A:set_c), (((eq set_c) (collect_c (fun (X3:c)=> ((member_c X3) A)))) A)).
% 1.53/1.69 Axiom fact_226_Collect__mem__eq:(forall (A:set_b), (((eq set_b) (collect_b (fun (X3:b)=> ((member_b X3) A)))) A)).
% 1.53/1.69 Axiom fact_227_Collect__mem__eq:(forall (A:set_d), (((eq set_d) (collect_d (fun (X3:d)=> ((member_d X3) A)))) A)).
% 1.53/1.69 Axiom fact_228_comp__eq__dest__lhs:(forall (A3:(b->b)) (B3:((d->d)->b)) (C2:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_229_comp__eq__dest__lhs:(forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) C2)->(((eq b) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_230_comp__eq__dest__lhs:(forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(b->(c->c))) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_231_comp__eq__dest__lhs:(forall (A3:(a->a)) (B3:((c->c)->a)) (C2:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_232_comp__eq__dest__lhs:(forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) C2)->(((eq a) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_233_comp__eq__dest__lhs:(forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) C2)->(((eq (d->d)) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_234_comp__eq__dest__lhs:(forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) C2)->(((eq (c->c)) (A3 (B3 V))) (C2 V)))).
% 1.53/1.69 Axiom fact_235_comp__eq__elim:(forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(forall (V2:(d->d)), (((eq b) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_236_comp__eq__elim:(forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(forall (V2:b), (((eq b) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_237_comp__eq__elim:(forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(forall (V2:b), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_238_comp__eq__elim:(forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(forall (V2:(c->c)), (((eq a) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_239_comp__eq__elim:(forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(forall (V2:a), (((eq a) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_240_comp__eq__elim:(forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(forall (V2:b), (((eq (d->d)) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_241_comp__eq__elim:(forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(forall (V2:a), (((eq (c->c)) (A3 (B3 V2))) (C2 (D V2)))))).
% 1.53/1.69 Axiom fact_242_comp__eq__dest:(forall (A3:(b->b)) (B3:((d->d)->b)) (C2:(b->b)) (D:((d->d)->b)) (V:(d->d)), ((((eq ((d->d)->b)) ((comp_b_b_d_d A3) B3)) ((comp_b_b_d_d C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_243_comp__eq__dest:(forall (A3:(b->b)) (B3:(b->b)) (C2:(b->b)) (D:(b->b)) (V:b), ((((eq (b->b)) ((comp_b_b_b A3) B3)) ((comp_b_b_b C2) D))->(((eq b) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_244_comp__eq__dest:(forall (A3:(a->(c->c))) (B3:(b->a)) (C2:(a->(c->c))) (D:(b->a)) (V:b), ((((eq (b->(c->c))) ((comp_a_c_c_b A3) B3)) ((comp_a_c_c_b C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_245_comp__eq__dest:(forall (A3:(a->a)) (B3:((c->c)->a)) (C2:(a->a)) (D:((c->c)->a)) (V:(c->c)), ((((eq ((c->c)->a)) ((comp_a_a_c_c A3) B3)) ((comp_a_a_c_c C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_246_comp__eq__dest:(forall (A3:(a->a)) (B3:(a->a)) (C2:(a->a)) (D:(a->a)) (V:a), ((((eq (a->a)) ((comp_a_a_a A3) B3)) ((comp_a_a_a C2) D))->(((eq a) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_247_comp__eq__dest:(forall (A3:(b->(d->d))) (B3:(b->b)) (C2:(b->(d->d))) (D:(b->b)) (V:b), ((((eq (b->(d->d))) ((comp_b_d_d_b A3) B3)) ((comp_b_d_d_b C2) D))->(((eq (d->d)) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_248_comp__eq__dest:(forall (A3:(a->(c->c))) (B3:(a->a)) (C2:(a->(c->c))) (D:(a->a)) (V:a), ((((eq (a->(c->c))) ((comp_a_c_c_a A3) B3)) ((comp_a_c_c_a C2) D))->(((eq (c->c)) (A3 (B3 V))) (C2 (D V))))).
% 1.53/1.69 Axiom fact_249_comp__assoc:(forall (F:(b->(d->d))) (G:(b->b)) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_b_d_d_b F) G)) H)) ((comp_b_d_d_b F) ((comp_b_b_b G) H)))).
% 1.53/1.69 Axiom fact_250_comp__assoc:(forall (F:(a->(c->c))) (G:(a->a)) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_a_c_c_a F) G)) H)) ((comp_a_c_c_a F) ((comp_a_a_a G) H)))).
% 1.53/1.69 Axiom fact_251_comp__assoc:(forall (F:((d->d)->(d->d))) (G:(b->(d->d))) (H:(b->b)), (((eq (b->(d->d))) ((comp_b_d_d_b ((comp_d_d_d_d_b F) G)) H)) ((comp_d_d_d_d_b F) ((comp_b_d_d_b G) H)))).
% 1.53/1.69 Axiom fact_252_comp__assoc:(forall (F:((c->c)->(c->c))) (G:(a->(c->c))) (H:(a->a)), (((eq (a->(c->c))) ((comp_a_c_c_a ((comp_c_c_c_c_a F) G)) H)) ((comp_c_c_c_c_a F) ((comp_a_c_c_a G) H)))).
% 1.53/1.69 Axiom fact_253_comp__assoc:(forall (F:(b->b)) (G:(b->b)) (H:(b->b)), (((eq (b->b)) ((comp_b_b_b ((comp_b_b_b F) G)) H)) ((comp_b_b_b F) ((comp_b_b_b G) H)))).
% 1.53/1.69 Axiom fact_254_comp__assoc:(forall (F:(a->a)) (G:(a->a)) (H:(a->a)), (((eq (a->a)) ((comp_a_a_a ((comp_a_a_a F) G)) H)) ((comp_a_a_a F) ((comp_a_a_a G) H)))).
% 1.53/1.69 Axiom fact_255_comp__assoc:(forall (F:(b->b)) (G:((d->d)->b)) (H:(b->(d->d))), (((eq (b->b)) ((comp_d_d_b_b ((comp_b_b_d_d F) G)) H)) ((comp_b_b_b F) ((comp_d_d_b_b G) H)))).
% 1.53/1.69 Axiom fact_256_comp__assoc:(forall (F:(a->(c->c))) (G:(b->a)) (H:(a->b)), (((eq (a->(c->c))) ((comp_b_c_c_a ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_a F) ((comp_b_a_a G) H)))).
% 1.53/1.69 Axiom fact_257_comp__assoc:(forall (F:(a->(c->c))) (G:(b->a)) (H:(b->b)), (((eq (b->(c->c))) ((comp_b_c_c_b ((comp_a_c_c_b F) G)) H)) ((comp_a_c_c_b F) ((comp_b_a_b G) H)))).
% 1.53/1.69 Axiom fact_258_comp__assoc:(forall (F:(a->a)) (G:((c->c)->a)) (H:(a->(c->c))), (((eq (a->a)) ((comp_c_c_a_a ((comp_a_a_c_c F) G)) H)) ((comp_a_a_a F) ((comp_c_c_a_a G) H)))).
% 1.53/1.69 Axiom fact_259_comp__def:(((eq ((b->b)->(((d->d)->b)->((d->d)->b)))) comp_b_b_d_d) (fun (F2:(b->b)) (G2:((d->d)->b)) (X3:(d->d))=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_260_comp__def:(((eq ((b->b)->((b->b)->(b->b)))) comp_b_b_b) (fun (F2:(b->b)) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_261_comp__def:(((eq ((a->(c->c))->((b->a)->(b->(c->c))))) comp_a_c_c_b) (fun (F2:(a->(c->c))) (G2:(b->a)) (X3:b)=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_262_comp__def:(((eq ((a->a)->(((c->c)->a)->((c->c)->a)))) comp_a_a_c_c) (fun (F2:(a->a)) (G2:((c->c)->a)) (X3:(c->c))=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_263_comp__def:(((eq ((a->a)->((a->a)->(a->a)))) comp_a_a_a) (fun (F2:(a->a)) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_264_comp__def:(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) comp_b_d_d_b) (fun (F2:(b->(d->d))) (G2:(b->b)) (X3:b)=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_265_comp__def:(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) comp_a_c_c_a) (fun (F2:(a->(c->c))) (G2:(a->a)) (X3:a)=> (F2 (G2 X3)))).
% 1.53/1.69 Axiom fact_266_Let__transfer:(forall (A:(a->(b->Prop))) (B:(a->(b->Prop))), ((((bNF_re1730737055_b_b_b A) ((bNF_re2087760490_b_a_b ((bNF_rel_fun_a_b_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:b) (F2:(b->b))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_267_Let__transfer:(forall (A:(a->(a->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1391160029_d_d_d A) ((bNF_re1955249705_c_d_d ((bNF_re1979731817_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(d->d)))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_268_Let__transfer:(forall (A:(a->(a->Prop))) (B:((c->c)->((c->c)->Prop))), ((((bNF_re1482032989_c_c_c A) ((bNF_re27458217_c_c_c ((bNF_re1143700905_c_c_c A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_269_Let__transfer:(forall (A:(a->(a->Prop))) (B:(a->(b->Prop))), ((((bNF_re1093913501_a_b_b A) ((bNF_re473406379_b_a_b ((bNF_rel_fun_a_a_a_b A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->b))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_270_Let__transfer:(forall (A:(a->(a->Prop))) (B:(a->(a->Prop))), ((((bNF_re865741149_a_a_a A) ((bNF_re571457705_a_a_a ((bNF_rel_fun_a_a_a_a A) B)) B)) (fun (S3:a) (F2:(a->a))=> (F2 S3))) (fun (S3:a) (F2:(a->a))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_271_Let__transfer:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((((bNF_re1327926367_d_d_d A) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d A) B)) B)) (fun (S3:a) (F2:(a->(c->c)))=> (F2 S3))) (fun (S3:b) (F2:(b->(d->d)))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_272_Let__transfer:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((((bNF_re1313098655_d_d_d A) ((bNF_re1303182826_d_c_d ((bNF_rel_fun_c_d_c_d A) B)) B)) (fun (S3:c) (F2:(c->c))=> (F2 S3))) (fun (S3:d) (F2:(d->d))=> (F2 S3)))).
% 1.53/1.69 Axiom fact_273_type__copy__map__cong0:(forall (M:(a->a)) (G:(b->a)) (X:b) (N:(a->a)) (H:(b->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_b ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_b ((comp_a_c_c_a F) N)) H) X)))).
% 1.53/1.69 Axiom fact_274_type__copy__map__cong0:(forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:((c->c)->a)) (H:((c->c)->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_c_c ((comp_a_a_c_c F) N)) H) X)))).
% 1.53/1.69 Axiom fact_275_type__copy__map__cong0:(forall (M:(a->a)) (G:((c->c)->a)) (X:(c->c)) (N:(a->a)) (H:((c->c)->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_c_c ((comp_a_a_a F) M)) G) X)) (((comp_a_a_c_c ((comp_a_a_a F) N)) H) X)))).
% 1.53/1.69 Axiom fact_276_type__copy__map__cong0:(forall (M:(a->a)) (G:(a->a)) (X:a) (N:((c->c)->a)) (H:(a->(c->c))) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_c_c_a_a ((comp_a_a_c_c F) N)) H) X)))).
% 1.53/1.69 Axiom fact_277_type__copy__map__cong0:(forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->a)), ((((eq a) (M (G X))) (N (H X)))->(((eq a) (((comp_a_a_a ((comp_a_a_a F) M)) G) X)) (((comp_a_a_a ((comp_a_a_a F) N)) H) X)))).
% 1.53/1.69 Axiom fact_278_type__copy__map__cong0:(forall (M:(b->b)) (G:(b->b)) (X:b) (N:(b->b)) (H:(b->b)) (F:(b->(d->d))), ((((eq b) (M (G X))) (N (H X)))->(((eq (d->d)) (((comp_b_d_d_b ((comp_b_d_d_b F) M)) G) X)) (((comp_b_d_d_b ((comp_b_d_d_b F) N)) H) X)))).
% 1.53/1.70 Axiom fact_279_type__copy__map__cong0:(forall (M:(a->a)) (G:(a->a)) (X:a) (N:(a->a)) (H:(a->a)) (F:(a->(c->c))), ((((eq a) (M (G X))) (N (H X)))->(((eq (c->c)) (((comp_a_c_c_a ((comp_a_c_c_a F) M)) G) X)) (((comp_a_c_c_a ((comp_a_c_c_a F) N)) H) X)))).
% 1.53/1.70 Axiom fact_280_function__factors__right:(forall (G:(b->(d->d))) (F:(b->(d->d))), (((eq Prop) (forall (X3:b), ((ex b) (fun (Y3:b)=> (((eq (d->d)) (G Y3)) (F X3)))))) ((ex (b->b)) (fun (H2:(b->b))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b G) H2)))))).
% 1.53/1.70 Axiom fact_281_function__factors__right:(forall (G:(a->(c->c))) (F:(a->(c->c))), (((eq Prop) (forall (X3:a), ((ex a) (fun (Y3:a)=> (((eq (c->c)) (G Y3)) (F X3)))))) ((ex (a->a)) (fun (H2:(a->a))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a G) H2)))))).
% 1.53/1.70 Axiom fact_282_function__factors__left:(forall (G:(b->b)) (F:(b->(d->d))), (((eq Prop) (forall (X3:b) (Y3:b), ((((eq b) (G X3)) (G Y3))->(((eq (d->d)) (F X3)) (F Y3))))) ((ex (b->(d->d))) (fun (H2:(b->(d->d)))=> (((eq (b->(d->d))) F) ((comp_b_d_d_b H2) G)))))).
% 1.53/1.70 Axiom fact_283_function__factors__left:(forall (G:(a->a)) (F:(a->(c->c))), (((eq Prop) (forall (X3:a) (Y3:a), ((((eq a) (G X3)) (G Y3))->(((eq (c->c)) (F X3)) (F Y3))))) ((ex (a->(c->c))) (fun (H2:(a->(c->c)))=> (((eq (a->(c->c))) F) ((comp_a_c_c_a H2) G)))))).
% 1.53/1.70 Axiom fact_284_comp__cong:(forall (F:(b->(d->d))) (G:(b->b)) (X:b) (F3:(b->(d->d))) (G3:(b->b)) (X5:b), ((((eq (d->d)) (F (G X))) (F3 (G3 X5)))->(((eq (d->d)) (((comp_b_d_d_b F) G) X)) (((comp_b_d_d_b F3) G3) X5)))).
% 1.53/1.70 Axiom fact_285_comp__cong:(forall (F:(a->(c->c))) (G:(a->a)) (X:a) (F3:(a->(c->c))) (G3:(a->a)) (X5:a), ((((eq (c->c)) (F (G X))) (F3 (G3 X5)))->(((eq (c->c)) (((comp_a_c_c_a F) G) X)) (((comp_a_c_c_a F3) G3) X5)))).
% 1.53/1.70 Axiom fact_286_apply__rsp_H:(forall (R1:(a->(b->Prop))) (R2:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y))))).
% 1.53/1.70 Axiom fact_287_apply__rsp_H:(forall (R1:(c->(d->Prop))) (R2:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d R1) R2) F) G)->(((R1 X) Y)->((R2 (F X)) (G Y))))).
% 1.53/1.70 Axiom fact_288_rel__funE:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (F:(a->(c->c))) (G:(b->(d->d))) (X:a) (Y:b), (((((bNF_re802603882_c_d_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.70 Axiom fact_289_rel__funE:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (F:(c->c)) (G:(d->d)) (X:c) (Y:d), (((((bNF_rel_fun_c_d_c_d A) B) F) G)->(((A X) Y)->((B (F X)) (G Y))))).
% 1.53/1.70 Axiom fact_290_map__fun__parametric:(forall (A:(a->(b->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re932551557_b_d_d ((bNF_rel_fun_a_b_a_b A) B)) ((bNF_re141854397_b_d_d ((bNF_re2078100341_c_d_d C) D2)) ((bNF_re692482399_b_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_a_c_c_c_c) map_fun_b_b_d_d_d_d)).
% 1.53/1.70 Axiom fact_291_map__fun__parametric:(forall (A:(c->(d->Prop))) (B:(a->(b->Prop))) (C:((c->c)->((d->d)->Prop))) (D2:(c->(d->Prop))), ((((bNF_re1164948833_d_d_d ((bNF_rel_fun_c_d_a_b A) B)) ((bNF_re1238578079_d_d_d ((bNF_re1303182826_d_c_d C) D2)) ((bNF_re84044842_c_d_d ((bNF_re802603882_c_d_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_a_c_c_c) map_fun_d_b_d_d_d)).
% 1.53/1.70 Axiom fact_292_map__fun__parametric:(forall (A:(a->(b->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1606289753_b_d_d ((bNF_rel_fun_a_b_c_d A) B)) ((bNF_re1507718559_b_d_d ((bNF_re1972258794_c_d_d C) D2)) ((bNF_re1145286186_b_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_c_c2) map_fun_b_d_d_d_d2)).
% 1.53/1.70 Axiom fact_293_map__fun__parametric:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re364486559_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re387831090_b_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re35019871_b_d_d ((bNF_re1795127658_d_a_b B) C)) ((bNF_re802603882_c_d_d A) D2)))) map_fun_a_c_c_a_c_c) map_fun_b_d_d_b_d_d)).
% 1.53/1.70 Axiom fact_294_map__fun__parametric:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re727696351_d_b_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re335372010_d_b_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re1209333166_c_b_d ((bNF_re1303182826_d_c_d B) C)) ((bNF_rel_fun_a_b_c_d A) D2)))) map_fun_a_c_c_c_c) map_fun_b_d_d_d_d)).
% 1.53/1.70 Axiom fact_295_map__fun__parametric:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(a->(b->Prop))) (D2:((c->c)->((d->d)->Prop))), ((((bNF_re1709888353_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re2120361759_d_d_d ((bNF_re802603882_c_d_d C) D2)) ((bNF_re1509948838_d_d_d ((bNF_rel_fun_c_d_a_b B) C)) ((bNF_re1972258794_c_d_d A) D2)))) map_fun_c_c_a_c_c) map_fun_d_d_b_d_d)).
% 1.53/1.70 Axiom fact_296_map__fun__parametric:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))) (C:(c->(d->Prop))) (D2:(c->(d->Prop))), ((((bNF_re888371717_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re764096061_d_d_d ((bNF_rel_fun_c_d_c_d C) D2)) ((bNF_re2078100341_c_d_d ((bNF_rel_fun_c_d_c_d B) C)) ((bNF_rel_fun_c_d_c_d A) D2)))) map_fun_c_c_c_c) map_fun_d_d_d_d)).
% 1.53/1.70 Axiom fact_297_fun__ord__parametric:(forall (C:(a->(b->Prop))) (A:((c->c)->((d->d)->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b C)->((((bNF_re19414301_d_d_o ((bNF_re781155241_d_d_o A) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1855937521_d_d_o ((bNF_re802603882_c_d_d C) A)) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia186872226_c_c_a) partia1709452835_d_d_b))).
% 1.53/1.70 Axiom fact_298_fun__ord__parametric:(forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d C)->((((bNF_re764708765_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re781155241_d_d_o ((bNF_rel_fun_c_d_c_d C) A)) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d C) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) partia1494029680_c_c_c) partia1041982257_d_d_d))).
% 1.53/1.70 Axiom fact_299_comp__fun__commute_Ofold__mset__union:(forall (F:(a->(c->c))) (S:c) (M:multiset_a) (N:multiset_a), ((finite746615251te_a_c F)->(((eq c) (((fold_mset_a_c F) S) ((plus_plus_multiset_a M) N))) (((fold_mset_a_c F) (((fold_mset_a_c F) S) M)) N)))).
% 1.53/1.70 Axiom fact_300_comp__fun__commute_Ofold__mset__union:(forall (F:(b->(d->d))) (S:d) (M:multiset_b) (N:multiset_b), ((finite1574384659te_b_d F)->(((eq d) (((fold_mset_b_d F) S) ((plus_plus_multiset_b M) N))) (((fold_mset_b_d F) (((fold_mset_b_d F) S) M)) N)))).
% 1.53/1.70 Axiom fact_301_o__prs_I1_J:(forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(d->d))) (Rep3:((d->d)->(d->d))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((((quotient3_d_d_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu538233110_b_d_d ((map_fun_b_b_d_d_d_d Abs2) Rep3)) ((map_fu683206690_b_d_d ((map_fun_b_b_b_b Abs1) Rep2)) ((map_fun_b_b_d_d_d_d Rep1) Abs3))) comp_b_d_d_b)) comp_b_d_d_b))))).
% 1.53/1.70 Axiom fact_302_o__prs_I1_J:(forall (R1:(b->(b->Prop))) (Abs1:(b->a)) (Rep1:(a->b)) (R2:(b->(b->Prop))) (Abs2:(b->a)) (Rep2:(a->b)) (R3:((d->d)->((d->d)->Prop))) (Abs3:((d->d)->(c->c))) (Rep3:((c->c)->(d->d))), ((((quotient3_b_a R1) Abs1) Rep1)->((((quotient3_b_a R2) Abs2) Rep2)->((((quotient3_d_d_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu232832790_a_c_c ((map_fun_b_a_c_c_d_d Abs2) Rep3)) ((map_fu75729569_a_c_c ((map_fun_b_a_a_b Abs1) Rep2)) ((map_fun_a_b_d_d_c_c Rep1) Abs3))) comp_b_d_d_b)) comp_a_c_c_a))))).
% 1.53/1.70 Axiom fact_303_o__prs_I1_J:(forall (R1:(a->(a->Prop))) (Abs1:(a->b)) (Rep1:(b->a)) (R2:(a->(a->Prop))) (Abs2:(a->b)) (Rep2:(b->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(d->d))) (Rep3:((d->d)->(c->c))), ((((quotient3_a_b R1) Abs1) Rep1)->((((quotient3_a_b R2) Abs2) Rep2)->((((quotient3_c_c_d_d R3) Abs3) Rep3)->(((eq ((b->(d->d))->((b->b)->(b->(d->d))))) (((map_fu981964822_b_d_d ((map_fun_a_b_d_d_c_c Abs2) Rep3)) ((map_fu1569200227_b_d_d ((map_fun_a_b_b_a Abs1) Rep2)) ((map_fun_b_a_c_c_d_d Rep1) Abs3))) comp_a_c_c_a)) comp_b_d_d_b))))).
% 1.53/1.70 Axiom fact_304_o__prs_I1_J:(forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R3:((c->c)->((c->c)->Prop))) (Abs3:((c->c)->(c->c))) (Rep3:((c->c)->(c->c))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((((quotient3_c_c_c_c R3) Abs3) Rep3)->(((eq ((a->(c->c))->((a->a)->(a->(c->c))))) (((map_fu676564502_a_c_c ((map_fun_a_a_c_c_c_c Abs2) Rep3)) ((map_fu961723106_a_c_c ((map_fun_a_a_a_a Abs1) Rep2)) ((map_fun_a_a_c_c_c_c Rep1) Abs3))) comp_a_c_c_a)) comp_a_c_c_a))))).
% 1.53/1.70 Axiom fact_305_map__fun_Ocompositionality:(forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)) (Fun:((d->d)->b)), (((eq (b->(d->d))) (((map_fun_b_b_b_d_d F) G) (((map_fun_b_d_d_b_b H) _TPTP_I) Fun))) (((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun))).
% 1.53/1.70 Axiom fact_306_map__fun_Ocompositionality:(forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)) (Fun:((d->d)->a)), (((eq (b->(c->c))) (((map_fun_b_b_a_c_c F) G) (((map_fun_b_d_d_a_a H) _TPTP_I) Fun))) (((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun))).
% 1.53/1.70 Axiom fact_307_map__fun_Ocompositionality:(forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)) (Fun:((c->c)->b)), (((eq (a->(d->d))) (((map_fun_a_a_b_d_d F) G) (((map_fun_a_c_c_b_b H) _TPTP_I) Fun))) (((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I)) Fun))).
% 1.53/1.70 Axiom fact_308_map__fun_Ocompositionality:(forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)) (Fun:((c->c)->a)), (((eq (a->(c->c))) (((map_fun_a_a_a_c_c F) G) (((map_fun_a_c_c_a_a H) _TPTP_I) Fun))) (((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I)) Fun))).
% 1.53/1.70 Axiom fact_309_map__fun_Ocomp:(forall (F:(b->b)) (G:(b->(d->d))) (H:(b->(d->d))) (_TPTP_I:(b->b)), (((eq (((d->d)->b)->(b->(d->d)))) ((comp_b_b_b_d_d_d_d_b ((map_fun_b_b_b_d_d F) G)) ((map_fun_b_d_d_b_b H) _TPTP_I))) ((map_fun_b_d_d_b_d_d ((comp_b_d_d_b H) F)) ((comp_b_d_d_b G) _TPTP_I)))).
% 1.53/1.70 Axiom fact_310_map__fun_Ocomp:(forall (F:(b->b)) (G:(a->(c->c))) (H:(b->(d->d))) (_TPTP_I:(a->a)), (((eq (((d->d)->a)->(b->(c->c)))) ((comp_b_a_b_c_c_d_d_a ((map_fun_b_b_a_c_c F) G)) ((map_fun_b_d_d_a_a H) _TPTP_I))) ((map_fun_b_d_d_a_c_c ((comp_b_d_d_b H) F)) ((comp_a_c_c_a G) _TPTP_I)))).
% 1.53/1.70 Axiom fact_311_map__fun_Ocomp:(forall (F:(a->a)) (G:(b->(d->d))) (H:(a->(c->c))) (_TPTP_I:(b->b)), (((eq (((c->c)->b)->(a->(d->d)))) ((comp_a_b_a_d_d_c_c_b ((map_fun_a_a_b_d_d F) G)) ((map_fun_a_c_c_b_b H) _TPTP_I))) ((map_fun_a_c_c_b_d_d ((comp_a_c_c_a H) F)) ((comp_b_d_d_b G) _TPTP_I)))).
% 1.53/1.70 Axiom fact_312_map__fun_Ocomp:(forall (F:(a->a)) (G:(a->(c->c))) (H:(a->(c->c))) (_TPTP_I:(a->a)), (((eq (((c->c)->a)->(a->(c->c)))) ((comp_a_a_a_c_c_c_c_a ((map_fun_a_a_a_c_c F) G)) ((map_fun_a_c_c_a_a H) _TPTP_I))) ((map_fun_a_c_c_a_c_c ((comp_a_c_c_a H) F)) ((comp_a_c_c_a G) _TPTP_I)))).
% 1.53/1.70 Axiom fact_313_map__fun__def:(((eq ((b->b)->((b->(d->d))->((b->b)->(b->(d->d)))))) map_fun_b_b_b_d_d) (fun (F2:(b->b)) (G2:(b->(d->d))) (H2:(b->b))=> ((comp_b_d_d_b ((comp_b_d_d_b G2) H2)) F2))).
% 1.53/1.70 Axiom fact_314_map__fun__def:(((eq ((a->a)->((a->(c->c))->((a->a)->(a->(c->c)))))) map_fun_a_a_a_c_c) (fun (F2:(a->a)) (G2:(a->(c->c))) (H2:(a->a))=> ((comp_a_c_c_a ((comp_a_c_c_a G2) H2)) F2))).
% 1.53/1.70 Axiom fact_315_monotone__parametric:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((((bNF_re2129955100_d_d_o ((bNF_re418251421_o_b_o A) ((bNF_rel_fun_a_b_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re674980784_d_d_o ((bNF_re781155241_d_d_o B) ((bNF_re857878889_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re1501709470_d_o_o ((bNF_re802603882_c_d_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple1702356924_a_c_c) comple61207421_b_d_d))).
% 1.53/1.70 Axiom fact_316_monotone__parametric:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((((bNF_re921674337_d_d_o ((bNF_re391428377_o_d_o A) ((bNF_rel_fun_c_d_o_o A) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re27482973_d_d_o ((bNF_re391428377_o_d_o B) ((bNF_rel_fun_c_d_o_o B) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) ((bNF_re857878889_d_o_o ((bNF_rel_fun_c_d_c_d A) B)) (fun (Y4:Prop) (Z2:Prop)=> (((eq Prop) Y4) Z2))))) comple787379047ne_c_c) comple1615148455ne_d_d))).
% 1.53/1.71 Axiom fact_317_OOO__quotient3:(forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (R2:(b->(b->Prop))) (Abs2:(b->b)) (Rep2:(b->b)) (R23:((d->d)->((d->d)->Prop))), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b R2) Abs2) Rep2)->((forall (X2:(d->d)) (Y2:(d->d)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d R23) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2))))))).
% 1.53/1.71 Axiom fact_318_OOO__quotient3:(forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (R2:(a->(a->Prop))) (Abs2:(a->a)) (Rep2:(a->a)) (R23:((c->c)->((c->c)->Prop))), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a R2) Abs2) Rep2)->((forall (X2:(c->c)) (Y2:(c->c)), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c R23) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2))))))).
% 1.53/1.71 Axiom fact_319_OOO__quotient3:(forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (R2:(b->(b->Prop))) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)) (R23:(b->(b->Prop))), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d R2) Abs2) Rep2)->((forall (X2:b) (Y2:b), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:b) (Y2:b), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b R23) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2))))))).
% 1.53/1.71 Axiom fact_320_OOO__quotient3:(forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (R2:(a->(a->Prop))) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)) (R23:(a->(a->Prop))), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c R2) Abs2) Rep2)->((forall (X2:a) (Y2:a), (((R23 X2) Y2)->(((R1 X2) X2)->(((R1 Y2) Y2)->((R2 (Abs1 X2)) (Abs1 Y2))))))->((forall (X2:a) (Y2:a), (((R2 X2) Y2)->((R23 (Rep1 X2)) (Rep1 Y2))))->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a R23) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2))))))).
% 1.53/1.71 Axiom fact_321_OOO__eq__quotient3:(forall (R1:((d->d)->((d->d)->Prop))) (Abs1:((d->d)->b)) (Rep1:(b->(d->d))) (Abs2:(b->b)) (Rep2:(b->b)), ((((quotient3_d_d_b R1) Abs1) Rep1)->((((quotient3_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_d_d_b ((relcompp_d_d_d_d_d_d R1) ((relcompp_d_d_d_d_d_d (fun (Y4:(d->d)) (Z2:(d->d))=> (((eq (d->d)) Y4) Z2))) R1))) ((comp_b_b_d_d Abs2) Abs1)) ((comp_b_d_d_b Rep1) Rep2))))).
% 1.53/1.71 Axiom fact_322_OOO__eq__quotient3:(forall (R1:((c->c)->((c->c)->Prop))) (Abs1:((c->c)->a)) (Rep1:(a->(c->c))) (Abs2:(a->a)) (Rep2:(a->a)), ((((quotient3_c_c_a R1) Abs1) Rep1)->((((quotient3_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_c_c_a ((relcompp_c_c_c_c_c_c R1) ((relcompp_c_c_c_c_c_c (fun (Y4:(c->c)) (Z2:(c->c))=> (((eq (c->c)) Y4) Z2))) R1))) ((comp_a_a_c_c Abs2) Abs1)) ((comp_a_c_c_a Rep1) Rep2))))).
% 1.53/1.71 Axiom fact_323_OOO__eq__quotient3:(forall (R1:(b->(b->Prop))) (Abs1:(b->b)) (Rep1:(b->b)) (Abs2:(b->(d->d))) (Rep2:((d->d)->b)), ((((quotient3_b_b R1) Abs1) Rep1)->((((quotient3_b_d_d (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) Abs2) Rep2)->(((quotient3_b_d_d ((relcompp_b_b_b R1) ((relcompp_b_b_b (fun (Y4:b) (Z2:b)=> (((eq b) Y4) Z2))) R1))) ((comp_b_d_d_b Abs2) Abs1)) ((comp_b_b_d_d Rep1) Rep2))))).
% 1.53/1.71 Axiom fact_324_OOO__eq__quotient3:(forall (R1:(a->(a->Prop))) (Abs1:(a->a)) (Rep1:(a->a)) (Abs2:(a->(c->c))) (Rep2:((c->c)->a)), ((((quotient3_a_a R1) Abs1) Rep1)->((((quotient3_a_c_c (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) Abs2) Rep2)->(((quotient3_a_c_c ((relcompp_a_a_a R1) ((relcompp_a_a_a (fun (Y4:a) (Z2:a)=> (((eq a) Y4) Z2))) R1))) ((comp_a_c_c_a Abs2) Abs1)) ((comp_a_a_c_c Rep1) Rep2))))).
% 1.53/1.71 Axiom fact_325_rev__implies__def:(((eq (Prop->(Prop->Prop))) rev_implies) (fun (X3:Prop) (Y3:Prop)=> (Y3->X3))).
% 1.53/1.71 Axiom fact_326_pos__fun__distr:(forall (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))) (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4)))).
% 1.53/1.71 Axiom fact_327_pos__fun__distr:(forall (R:(c->(c->Prop))) (S2:(c->(c->Prop))) (R5:(c->(d->Prop))) (S4:(c->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4)))).
% 1.53/1.71 Axiom fact_328_pos__fun__distr:(forall (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))), ((ord_le469275661_d_d_o ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4))) ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4)))).
% 1.53/1.71 Axiom fact_329_pos__fun__distr:(forall (R:(c->(d->Prop))) (S2:(c->(d->Prop))) (R5:(d->(d->Prop))) (S4:(d->(d->Prop))), ((ord_le1338099484_d_d_o ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4))) ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4)))).
% 1.53/1.71 Axiom fact_330_fun__mono:(forall (C:(a->(b->Prop))) (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))) (D2:((c->c)->((d->d)->Prop))), (((ord_less_eq_a_b_o C) A)->(((ord_le1338099484_d_d_o B) D2)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d A) B)) ((bNF_re802603882_c_d_d C) D2))))).
% 1.53/1.71 Axiom fact_331_fun__mono:(forall (C:(c->(d->Prop))) (A:(c->(d->Prop))) (B:(c->(d->Prop))) (D2:(c->(d->Prop))), (((ord_less_eq_c_d_o C) A)->(((ord_less_eq_c_d_o B) D2)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_rel_fun_c_d_c_d C) D2))))).
% 1.53/1.71 Axiom fact_332_neg__fun__distr1:(forall (R:(a->(a->Prop))) (R5:(a->(b->Prop))) (S2:((c->c)->((c->c)->Prop))) (S4:((c->c)->((d->d)->Prop))), ((left_unique_a_a R)->((right_total_a_a R)->((right_unique_a_b R5)->((left_total_a_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_333_neg__fun__distr1:(forall (R:(a->(b->Prop))) (R5:(b->(b->Prop))) (S2:((c->c)->((d->d)->Prop))) (S4:((d->d)->((d->d)->Prop))), ((left_unique_a_b R)->((right_total_a_b R)->((right_unique_b_b R5)->((left_total_b_b R5)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_334_neg__fun__distr1:(forall (R:(c->(c->Prop))) (R5:(c->(d->Prop))) (S2:(c->(c->Prop))) (S4:(c->(d->Prop))), ((left_unique_c_c R)->((right_total_c_c R)->((right_unique_c_d R5)->((left_total_c_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_335_neg__fun__distr1:(forall (R:(c->(d->Prop))) (R5:(d->(d->Prop))) (S2:(c->(d->Prop))) (S4:(d->(d->Prop))), ((left_unique_c_d R)->((right_total_c_d R)->((right_unique_d_d R5)->((left_total_d_d R5)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_336_right__unique__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_total_a_b A)->((right_unique_c_c_d_d B)->(right_2142487_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_337_right__unique__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_total_c_d A)->((right_unique_c_d B)->(right_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_338_left__unique__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_total_a_b A)->((left_unique_c_c_d_d B)->(left_u1654071760_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_339_left__unique__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_total_c_d A)->((left_unique_c_d B)->(left_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_340_right__total__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((right_unique_a_b A)->((right_total_c_c_d_d B)->(right_386984928_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_341_right__total__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((right_unique_c_d A)->((right_total_c_d B)->(right_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_342_left__total__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((left_unique_a_b A)->((left_total_c_c_d_d B)->(left_t1993719015_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_343_left__total__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((left_unique_c_d A)->((left_total_c_d B)->(left_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_344_neg__fun__distr2:(forall (R5:(a->(b->Prop))) (S4:((c->c)->((d->d)->Prop))) (R:(a->(a->Prop))) (S2:((c->c)->((c->c)->Prop))), ((right_unique_a_b R5)->((left_total_a_b R5)->((left_unique_c_c_d_d S4)->((right_total_c_c_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_a_b R) R5)) ((relcompp_c_c_c_c_d_d S2) S4))) ((relcom1813708708_b_d_d ((bNF_re1143700905_c_c_c R) S2)) ((bNF_re802603882_c_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_345_neg__fun__distr2:(forall (R5:(b->(b->Prop))) (S4:((d->d)->((d->d)->Prop))) (R:(a->(b->Prop))) (S2:((c->c)->((d->d)->Prop))), ((right_unique_b_b R5)->((left_total_b_b R5)->((left_unique_d_d_d_d S4)->((right_total_d_d_d_d S4)->((ord_le469275661_d_d_o ((bNF_re802603882_c_d_d ((relcompp_a_b_b R) R5)) ((relcompp_c_c_d_d_d_d S2) S4))) ((relcom1887247779_b_d_d ((bNF_re802603882_c_d_d R) S2)) ((bNF_re1844863849_d_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_346_neg__fun__distr2:(forall (R5:(c->(d->Prop))) (S4:(c->(d->Prop))) (R:(c->(c->Prop))) (S2:(c->(c->Prop))), ((right_unique_c_d R5)->((left_total_c_d R5)->((left_unique_c_d S4)->((right_total_c_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_c_d R) R5)) ((relcompp_c_c_d S2) S4))) ((relcompp_c_c_c_c_d_d ((bNF_rel_fun_c_c_c_c R) S2)) ((bNF_rel_fun_c_d_c_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_347_neg__fun__distr2:(forall (R5:(d->(d->Prop))) (S4:(d->(d->Prop))) (R:(c->(d->Prop))) (S2:(c->(d->Prop))), ((right_unique_d_d R5)->((left_total_d_d R5)->((left_unique_d_d S4)->((right_total_d_d S4)->((ord_le1338099484_d_d_o ((bNF_rel_fun_c_d_c_d ((relcompp_c_d_d R) R5)) ((relcompp_c_d_d S2) S4))) ((relcompp_c_c_d_d_d_d ((bNF_rel_fun_c_d_c_d R) S2)) ((bNF_rel_fun_d_d_d_d R5) S4)))))))).
% 1.53/1.71 Axiom fact_348_bi__unique__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_total_a_b A)->((bi_unique_c_c_d_d B)->(bi_uni844770768_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_349_bi__unique__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_total_c_d A)->((bi_unique_c_d B)->(bi_unique_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_350_bi__total__fun:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((bi_total_c_c_d_d B)->(bi_total_a_c_c_b_d_d ((bNF_re802603882_c_d_d A) B))))).
% 1.53/1.71 Axiom fact_351_bi__total__fun:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((bi_total_c_d B)->(bi_total_c_c_d_d ((bNF_rel_fun_c_d_c_d A) B))))).
% 1.53/1.71 Axiom fact_352_fun__upd__transfer:(forall (A:(a->(b->Prop))) (B:((c->c)->((d->d)->Prop))), ((bi_unique_a_b A)->((((bNF_re1424479610_b_d_d ((bNF_re802603882_c_d_d A) B)) ((bNF_re1573878111_b_d_d A) ((bNF_re1145286186_b_d_d B) ((bNF_re802603882_c_d_d A) B)))) fun_upd_a_c_c) fun_upd_b_d_d))).
% 1.53/1.71 Axiom fact_353_fun__upd__transfer:(forall (A:(c->(d->Prop))) (B:(c->(d->Prop))), ((bi_unique_c_d A)->((((bNF_re1941803873_d_d_d ((bNF_rel_fun_c_d_c_d A) B)) ((bNF_re822780063_d_d_d A) ((bNF_re1972258794_c_d_d B) ((bNF_rel_fun_c_d_c_d A) B)))) fun_upd_c_c) fun_upd_d_d))).
% 1.61/1.80 Axiom help_If_2_1_If_001tf__a_T:(forall (X:a) (Y:a), (((eq a) (((if_a False) X) Y)) Y)).
% 1.61/1.80 Axiom help_If_1_1_If_001tf__a_T:(forall (X:a) (Y:a), (((eq a) (((if_a True) X) Y)) X)).
% 1.61/1.80 Axiom help_If_2_1_If_001tf__b_T:(forall (X:b) (Y:b), (((eq b) (((if_b False) X) Y)) Y)).
% 1.61/1.80 Axiom help_If_1_1_If_001tf__b_T:(forall (X:b) (Y:b), (((eq b) (((if_b True) X) Y)) X)).
% 1.61/1.80 Axiom help_If_2_1_If_001tf__c_T:(forall (X:c) (Y:c), (((eq c) (((if_c False) X) Y)) Y)).
% 1.61/1.80 Axiom help_If_1_1_If_001tf__c_T:(forall (X:c) (Y:c), (((eq c) (((if_c True) X) Y)) X)).
% 1.61/1.80 Axiom help_If_3_1_If_001tf__d_T:(forall (P:Prop), ((or (((eq Prop) P) True)) (((eq Prop) P) False))).
% 1.61/1.80 Axiom help_If_2_1_If_001tf__d_T:(forall (X:d) (Y:d), (((eq d) (((if_d False) X) Y)) Y)).
% 1.61/1.80 Axiom help_If_1_1_If_001tf__d_T:(forall (X:d) (Y:d), (((eq d) (((if_d True) X) Y)) X)).
% 1.61/1.80 Trying to prove (finite746615251te_a_c f1)
% 1.61/1.80 Found fact_0_assms_I2_J:(finite746615251te_a_c f1)
% 1.61/1.80 Found fact_0_assms_I2_J as proof of (finite746615251te_a_c f1)
% 1.61/1.80 Got proof fact_0_assms_I2_J
% 1.61/1.80 Time elapsed = 0.003664s
% 1.61/1.80 node=0 cost=0.000000 depth=0
% 1.61/1.80::::::::::::::::::::::
% 1.61/1.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.80 fact_0_assms_I2_J
% 1.61/1.80 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------