TSTP Solution File: ITP098^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP098^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 13:24:10 EDT 2021
% Result : Unknown 0.85s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP098^1 : TPTP v7.5.0. Released v7.5.0.
% 0.13/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Mar 19 05:53:23 EDT 2021
% 0.13/0.34 % CPUTime :
% 0.19/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.19/0.35 Python 2.7.5
% 0.48/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2286050>, <kernel.Type object at 0x2282b00>) of role type named ty_n_t__Set__Oset_I_062_Itf__c_Mtf__a_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_c_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x227cf38>, <kernel.Type object at 0x2282b90>) of role type named ty_n_t__Set__Oset_I_062_Itf__a_Mtf__c_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_a_c:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2286050>, <kernel.Type object at 0x2282950>) of role type named ty_n_t__Set__Oset_I_062_Itf__a_Mtf__b_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_a_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2286290>, <kernel.Type object at 0x2282e60>) of role type named ty_n_t__Set__Oset_I_062_Itf__a_Mtf__a_J_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_a_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2286050>, <kernel.Type object at 0x2282ef0>) of role type named ty_n_t__Set__Oset_Itf__c_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_c:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2286050>, <kernel.Type object at 0x2282a70>) of role type named ty_n_t__Set__Oset_Itf__b_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282e60>, <kernel.Type object at 0x22827a0>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring set_a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282ef0>, <kernel.Type object at 0x2282bd8>) of role type named ty_n_tf__c
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring c:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282a70>, <kernel.Type object at 0x2282170>) of role type named ty_n_tf__b
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring b:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x22827a0>, <kernel.Type object at 0x2282560>) of role type named ty_n_tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring a:Type
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282b00>, <kernel.DependentProduct object at 0x22853f8>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_a_a:((a->a)->((a->a)->(a->a)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282f80>, <kernel.DependentProduct object at 0x2285128>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__c
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_a_c:((a->a)->((c->a)->(c->a)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282a70>, <kernel.DependentProduct object at 0x22853b0>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_b_a:((a->b)->((a->a)->(a->b)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282b00>, <kernel.DependentProduct object at 0x2285b00>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__b
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_b_b:((a->b)->((b->a)->(b->b)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282a70>, <kernel.DependentProduct object at 0x22853f8>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__c
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_b_c:((a->b)->((c->a)->(c->b)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282f80>, <kernel.DependentProduct object at 0x2285128>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__c_001tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_c_a:((a->c)->((a->a)->(a->c)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282a70>, <kernel.DependentProduct object at 0x2285b48>) of role type named sy_c_Fun_Ocomp_001tf__a_001tf__c_001tf__c
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_a_c_c:((a->c)->((c->a)->(c->c)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2282a70>, <kernel.DependentProduct object at 0x2285488>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_b_a_a:((b->a)->((a->b)->(a->a)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x22853b0>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__c
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_b_a_c:((b->a)->((c->b)->(c->a)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x2285440>, <kernel.DependentProduct object at 0x22850e0>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__a
% 0.48/0.63 Using role type
% 0.48/0.63 Declaring comp_b_b_a:((b->b)->((a->b)->(a->b)))
% 0.48/0.63 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x2285b00>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__b
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_b_b_b:((b->b)->((b->b)->(b->b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285680>, <kernel.DependentProduct object at 0x2285290>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__c
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_b_b_c:((b->b)->((c->b)->(c->b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22852d8>, <kernel.DependentProduct object at 0x2285ab8>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__c_001tf__a
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_b_c_a:((b->c)->((a->b)->(a->c)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x2285a70>) of role type named sy_c_Fun_Ocomp_001tf__b_001tf__c_001tf__c
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_b_c_c:((b->c)->((c->b)->(c->c)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285440>, <kernel.DependentProduct object at 0x22855a8>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__a_001tf__a
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_a_a:((c->a)->((a->c)->(a->a)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x2285560>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__a_001tf__b
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_a_b:((c->a)->((b->c)->(b->a)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285680>, <kernel.DependentProduct object at 0x2285c68>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__a_001tf__c
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_a_c:((c->a)->((c->c)->(c->a)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22852d8>, <kernel.DependentProduct object at 0x2285c20>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__b_001tf__a
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_b_a:((c->b)->((a->c)->(a->b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x2285bd8>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__b_001tf__b
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_b_b:((c->b)->((b->c)->(b->b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285440>, <kernel.DependentProduct object at 0x2285b90>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__b_001tf__c
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_b_c:((c->b)->((c->c)->(c->b)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x2285998>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__c_001tf__a
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_c_a:((c->c)->((a->c)->(a->c)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285680>, <kernel.DependentProduct object at 0x2285950>) of role type named sy_c_Fun_Ocomp_001tf__c_001tf__c_001tf__c
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring comp_c_c_c:((c->c)->((c->c)->(c->c)))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22852d8>, <kernel.DependentProduct object at 0x2285368>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring inj_on_a_a_a_b:(((a->a)->(a->b))->(set_a_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x2285440>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__b_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring inj_on_a_b_a_b:(((a->b)->(a->b))->(set_a_b->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x22857e8>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__a_Mtf__c_J_001_062_Itf__a_Mtf__b_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring inj_on_a_c_a_b:(((a->c)->(a->b))->(set_a_c->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285680>, <kernel.DependentProduct object at 0x22857a0>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__c_Mtf__a_J_001_062_Itf__c_Mtf__a_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring inj_on_c_a_c_a:(((c->a)->(c->a))->(set_c_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x22852d8>, <kernel.DependentProduct object at 0x2285ea8>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__c_Mtf__a_J_001_062_Itf__c_Mtf__b_J
% 0.49/0.64 Using role type
% 0.49/0.64 Declaring inj_on_c_a_c_b:(((c->a)->(c->b))->(set_c_a->Prop))
% 0.49/0.64 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x2285e60>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__c_Mtf__a_J_001_062_Itf__c_Mtf__c_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_c_a_c_c:(((c->a)->(c->c))->(set_c_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x2285f38>) of role type named sy_c_Fun_Oinj__on_001_062_Itf__c_Mtf__a_J_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_c_a_a:(((c->a)->a)->(set_c_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22853f8>, <kernel.DependentProduct object at 0x2285908>) of role type named sy_c_Fun_Oinj__on_001tf__a_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_a_a:((a->a)->(set_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285680>, <kernel.DependentProduct object at 0x2285f38>) of role type named sy_c_Fun_Oinj__on_001tf__a_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_a_b:((a->b)->(set_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285e60>, <kernel.DependentProduct object at 0x22853f8>) of role type named sy_c_Fun_Oinj__on_001tf__a_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_a_c:((a->c)->(set_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285cf8>, <kernel.DependentProduct object at 0x2285680>) of role type named sy_c_Fun_Oinj__on_001tf__b_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_b_a:((b->a)->(set_b->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22856c8>, <kernel.DependentProduct object at 0x2285e60>) of role type named sy_c_Fun_Oinj__on_001tf__b_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_b_b:((b->b)->(set_b->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x2285cf8>) of role type named sy_c_Fun_Oinj__on_001tf__b_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_b_c:((b->c)->(set_b->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285908>, <kernel.DependentProduct object at 0x22856c8>) of role type named sy_c_Fun_Oinj__on_001tf__c_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_c_a:((c->a)->(set_c->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285f38>, <kernel.DependentProduct object at 0x2285ef0>) of role type named sy_c_Fun_Oinj__on_001tf__c_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_c_b:((c->b)->(set_c->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22853f8>, <kernel.DependentProduct object at 0x2285908>) of role type named sy_c_Fun_Oinj__on_001tf__c_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring inj_on_c_c:((c->c)->(set_c->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285e60>, <kernel.DependentProduct object at 0x22858c0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_I_062_Itf__c_Mtf__a_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring sup_sup_set_c_a:(set_c_a->(set_c_a->set_c_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285f38>, <kernel.DependentProduct object at 0x2285878>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__a_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring sup_sup_set_a:(set_a->(set_a->set_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22853f8>, <kernel.DependentProduct object at 0x22856c8>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__b_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring sup_sup_set_b:(set_b->(set_b->set_b))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22858c0>, <kernel.DependentProduct object at 0x2285ef0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__c_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring sup_sup_set_c:(set_c->(set_c->set_c))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285878>, <kernel.Constant object at 0x2285ef0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__a_Mtf__a_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_a_a:set_a_a
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22853f8>, <kernel.Constant object at 0x2285ef0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__a_Mtf__b_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_a_b:set_a_b
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22858c0>, <kernel.Constant object at 0x2285ef0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__a_Mtf__c_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_a_c:set_a_c
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285878>, <kernel.Constant object at 0x22853f8>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_Itf__c_Mtf__a_J_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_c_a:set_c_a
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22858c0>, <kernel.Constant object at 0x225fe18>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__a_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_a:set_a
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22853f8>, <kernel.Constant object at 0x225fa28>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__b_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_b:set_b
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x22858c0>, <kernel.Constant object at 0x225f638>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__c_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring top_top_set_c:set_c
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x225fcb0>) of role type named sy_c_Set_OCollect_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring collect_a:((a->Prop)->set_a)
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2285ef0>, <kernel.DependentProduct object at 0x225fcf8>) of role type named sy_c_Set_Oimage_001_062_Itf__c_Mtf__a_J_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_c_a_a:(((c->a)->a)->(set_c_a->set_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225f638>, <kernel.DependentProduct object at 0x225fa70>) of role type named sy_c_Set_Oimage_001tf__a_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_a_a:((a->a)->(set_a->set_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2b16cb1a0200>, <kernel.DependentProduct object at 0x225fa70>) of role type named sy_c_Set_Oimage_001tf__a_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_a_b:((a->b)->(set_a->set_b))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fb48>, <kernel.DependentProduct object at 0x225f5f0>) of role type named sy_c_Set_Oimage_001tf__a_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_a_c:((a->c)->(set_a->set_c))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fc20>, <kernel.DependentProduct object at 0x225f9e0>) of role type named sy_c_Set_Oimage_001tf__b_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_b_a:((b->a)->(set_b->set_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fcb0>, <kernel.DependentProduct object at 0x225f9e0>) of role type named sy_c_Set_Oimage_001tf__b_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_b_b:((b->b)->(set_b->set_b))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fa70>, <kernel.DependentProduct object at 0x225f5f0>) of role type named sy_c_Set_Oimage_001tf__b_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_b_c:((b->c)->(set_b->set_c))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225f9e0>, <kernel.DependentProduct object at 0x2281ef0>) of role type named sy_c_Set_Oimage_001tf__c_001_062_Itf__c_Mtf__a_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_c_c_a:((c->(c->a))->(set_c->set_c_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fcf8>, <kernel.DependentProduct object at 0x2281e18>) of role type named sy_c_Set_Oimage_001tf__c_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_c_a:((c->a)->(set_c->set_a))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225f5f0>, <kernel.DependentProduct object at 0x2281e18>) of role type named sy_c_Set_Oimage_001tf__c_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_c_b:((c->b)->(set_c->set_b))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225f9e0>, <kernel.DependentProduct object at 0x2281ef0>) of role type named sy_c_Set_Oimage_001tf__c_001tf__c
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring image_c_c:((c->c)->(set_c->set_c))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225f5f0>, <kernel.DependentProduct object at 0x2281440>) of role type named sy_c_member_001_062_Itf__c_Mtf__a_J
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring member_c_a:((c->a)->(set_c_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fa70>, <kernel.DependentProduct object at 0x2281b00>) of role type named sy_c_member_001tf__a
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring member_a:(a->(set_a->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x225fa70>, <kernel.DependentProduct object at 0x2281830>) of role type named sy_c_member_001tf__b
% 0.49/0.65 Using role type
% 0.49/0.65 Declaring member_b:(b->(set_b->Prop))
% 0.49/0.65 FOF formula (<kernel.Constant object at 0x2281ef0>, <kernel.DependentProduct object at 0x2281710>) of role type named sy_c_member_001tf__c
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring member_c:(c->(set_c->Prop))
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2281b00>, <kernel.DependentProduct object at 0x2281680>) of role type named sy_v_f
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring f:(a->b)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2281830>, <kernel.DependentProduct object at 0x2281560>) of role type named sy_v_g
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring g:(c->a)
% 0.49/0.67 FOF formula (<kernel.Constant object at 0x2281710>, <kernel.DependentProduct object at 0x22815f0>) of role type named sy_v_h
% 0.49/0.67 Using role type
% 0.49/0.67 Declaring h:(c->a)
% 0.49/0.67 FOF formula (forall (H:(a->c)) (F:(c->b)) (G:(c->b)), ((forall (X:c), (((member_c X) ((image_a_c H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a G) H)))) of role axiom named fact_0_o__ext
% 0.49/0.67 A new axiom: (forall (H:(a->c)) (F:(c->b)) (G:(c->b)), ((forall (X:c), (((member_c X) ((image_a_c H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a G) H))))
% 0.49/0.67 FOF formula (forall (H:(a->b)) (F:(b->b)) (G:(b->b)), ((forall (X:b), (((member_b X) ((image_a_b H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a G) H)))) of role axiom named fact_1_o__ext
% 0.49/0.67 A new axiom: (forall (H:(a->b)) (F:(b->b)) (G:(b->b)), ((forall (X:b), (((member_b X) ((image_a_b H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a G) H))))
% 0.49/0.67 FOF formula (forall (H:(a->a)) (F:(a->b)) (G:(a->b)), ((forall (X:a), (((member_a X) ((image_a_a H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a G) H)))) of role axiom named fact_2_o__ext
% 0.49/0.67 A new axiom: (forall (H:(a->a)) (F:(a->b)) (G:(a->b)), ((forall (X:a), (((member_a X) ((image_a_a H) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a G) H))))
% 0.49/0.67 FOF formula (forall (H:(c->a)) (F:(a->b)) (G:(a->b)), ((forall (X:a), (((member_a X) ((image_c_a H) top_top_set_c))->(((eq b) (F X)) (G X))))->(((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c G) H)))) of role axiom named fact_3_o__ext
% 0.49/0.67 A new axiom: (forall (H:(c->a)) (F:(a->b)) (G:(a->b)), ((forall (X:a), (((member_a X) ((image_c_a H) top_top_set_c))->(((eq b) (F X)) (G X))))->(((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c G) H))))
% 0.49/0.67 FOF formula (forall (H:(a->c)) (_TPTP_I:(a->c)) (F:(c->b)) (G:(c->b)), ((((eq (a->c)) H) _TPTP_I)->((forall (X:c), (((member_c X) ((image_a_c _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a F) _TPTP_I))))) of role axiom named fact_4_o__cong
% 0.49/0.67 A new axiom: (forall (H:(a->c)) (_TPTP_I:(a->c)) (F:(c->b)) (G:(c->b)), ((((eq (a->c)) H) _TPTP_I)->((forall (X:c), (((member_c X) ((image_a_c _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a F) _TPTP_I)))))
% 0.49/0.67 FOF formula (forall (H:(a->b)) (_TPTP_I:(a->b)) (F:(b->b)) (G:(b->b)), ((((eq (a->b)) H) _TPTP_I)->((forall (X:b), (((member_b X) ((image_a_b _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a F) _TPTP_I))))) of role axiom named fact_5_o__cong
% 0.49/0.67 A new axiom: (forall (H:(a->b)) (_TPTP_I:(a->b)) (F:(b->b)) (G:(b->b)), ((((eq (a->b)) H) _TPTP_I)->((forall (X:b), (((member_b X) ((image_a_b _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a F) _TPTP_I)))))
% 0.49/0.67 FOF formula (forall (H:(a->a)) (_TPTP_I:(a->a)) (F:(a->b)) (G:(a->b)), ((((eq (a->a)) H) _TPTP_I)->((forall (X:a), (((member_a X) ((image_a_a _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a F) _TPTP_I))))) of role axiom named fact_6_o__cong
% 0.49/0.67 A new axiom: (forall (H:(a->a)) (_TPTP_I:(a->a)) (F:(a->b)) (G:(a->b)), ((((eq (a->a)) H) _TPTP_I)->((forall (X:a), (((member_a X) ((image_a_a _TPTP_I) top_top_set_a))->(((eq b) (F X)) (G X))))->(((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a F) _TPTP_I)))))
% 0.49/0.67 FOF formula (forall (H:(c->a)) (_TPTP_I:(c->a)) (F:(a->b)) (G:(a->b)), ((((eq (c->a)) H) _TPTP_I)->((forall (X:a), (((member_a X) ((image_c_a _TPTP_I) top_top_set_c))->(((eq b) (F X)) (G X))))->(((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c F) _TPTP_I))))) of role axiom named fact_7_o__cong
% 0.49/0.69 A new axiom: (forall (H:(c->a)) (_TPTP_I:(c->a)) (F:(a->b)) (G:(a->b)), ((((eq (c->a)) H) _TPTP_I)->((forall (X:a), (((member_a X) ((image_c_a _TPTP_I) top_top_set_c))->(((eq b) (F X)) (G X))))->(((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c F) _TPTP_I)))))
% 0.49/0.69 FOF formula (forall (F:(a->b)) (G:(c->a)) (H:(c->a)), ((((eq (c->b)) ((comp_a_b_c F) G)) ((comp_a_b_c F) H))->(((inj_on_a_b F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H)))) of role axiom named fact_8_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(a->b)) (G:(c->a)) (H:(c->a)), ((((eq (c->b)) ((comp_a_b_c F) G)) ((comp_a_b_c F) H))->(((inj_on_a_b F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(b->b)) (G:(c->b)) (H:(c->b)), ((((eq (c->b)) ((comp_b_b_c F) G)) ((comp_b_b_c F) H))->(((inj_on_b_b F) ((sup_sup_set_b ((image_c_b G) top_top_set_c)) ((image_c_b H) top_top_set_c)))->(((eq (c->b)) G) H)))) of role axiom named fact_9_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(b->b)) (G:(c->b)) (H:(c->b)), ((((eq (c->b)) ((comp_b_b_c F) G)) ((comp_b_b_c F) H))->(((inj_on_b_b F) ((sup_sup_set_b ((image_c_b G) top_top_set_c)) ((image_c_b H) top_top_set_c)))->(((eq (c->b)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(a->c)) (G:(c->a)) (H:(c->a)), ((((eq (c->c)) ((comp_a_c_c F) G)) ((comp_a_c_c F) H))->(((inj_on_a_c F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H)))) of role axiom named fact_10_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(a->c)) (G:(c->a)) (H:(c->a)), ((((eq (c->c)) ((comp_a_c_c F) G)) ((comp_a_c_c F) H))->(((inj_on_a_c F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(a->a)) (G:(c->a)) (H:(c->a)), ((((eq (c->a)) ((comp_a_a_c F) G)) ((comp_a_a_c F) H))->(((inj_on_a_a F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H)))) of role axiom named fact_11_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(a->a)) (G:(c->a)) (H:(c->a)), ((((eq (c->a)) ((comp_a_a_c F) G)) ((comp_a_a_c F) H))->(((inj_on_a_a F) ((sup_sup_set_a ((image_c_a G) top_top_set_c)) ((image_c_a H) top_top_set_c)))->(((eq (c->a)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(c->b)) (G:(c->c)) (H:(c->c)), ((((eq (c->b)) ((comp_c_b_c F) G)) ((comp_c_b_c F) H))->(((inj_on_c_b F) ((sup_sup_set_c ((image_c_c G) top_top_set_c)) ((image_c_c H) top_top_set_c)))->(((eq (c->c)) G) H)))) of role axiom named fact_12_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(c->b)) (G:(c->c)) (H:(c->c)), ((((eq (c->b)) ((comp_c_b_c F) G)) ((comp_c_b_c F) H))->(((inj_on_c_b F) ((sup_sup_set_c ((image_c_c G) top_top_set_c)) ((image_c_c H) top_top_set_c)))->(((eq (c->c)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(c->a)) (G:(c->c)) (H:(c->c)), ((((eq (c->a)) ((comp_c_a_c F) G)) ((comp_c_a_c F) H))->(((inj_on_c_a F) ((sup_sup_set_c ((image_c_c G) top_top_set_c)) ((image_c_c H) top_top_set_c)))->(((eq (c->c)) G) H)))) of role axiom named fact_13_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(c->a)) (G:(c->c)) (H:(c->c)), ((((eq (c->a)) ((comp_c_a_c F) G)) ((comp_c_a_c F) H))->(((inj_on_c_a F) ((sup_sup_set_c ((image_c_c G) top_top_set_c)) ((image_c_c H) top_top_set_c)))->(((eq (c->c)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(b->b)) (G:(a->b)) (H:(a->b)), ((((eq (a->b)) ((comp_b_b_a F) G)) ((comp_b_b_a F) H))->(((inj_on_b_b F) ((sup_sup_set_b ((image_a_b G) top_top_set_a)) ((image_a_b H) top_top_set_a)))->(((eq (a->b)) G) H)))) of role axiom named fact_14_o__inj__on
% 0.49/0.69 A new axiom: (forall (F:(b->b)) (G:(a->b)) (H:(a->b)), ((((eq (a->b)) ((comp_b_b_a F) G)) ((comp_b_b_a F) H))->(((inj_on_b_b F) ((sup_sup_set_b ((image_a_b G) top_top_set_a)) ((image_a_b H) top_top_set_a)))->(((eq (a->b)) G) H))))
% 0.49/0.69 FOF formula (forall (F:(a->b)) (G:(a->a)) (H:(a->a)), ((((eq (a->b)) ((comp_a_b_a F) G)) ((comp_a_b_a F) H))->(((inj_on_a_b F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H)))) of role axiom named fact_15_o__inj__on
% 0.55/0.71 A new axiom: (forall (F:(a->b)) (G:(a->a)) (H:(a->a)), ((((eq (a->b)) ((comp_a_b_a F) G)) ((comp_a_b_a F) H))->(((inj_on_a_b F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H))))
% 0.55/0.71 FOF formula (forall (F:(a->c)) (G:(a->a)) (H:(a->a)), ((((eq (a->c)) ((comp_a_c_a F) G)) ((comp_a_c_a F) H))->(((inj_on_a_c F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H)))) of role axiom named fact_16_o__inj__on
% 0.55/0.71 A new axiom: (forall (F:(a->c)) (G:(a->a)) (H:(a->a)), ((((eq (a->c)) ((comp_a_c_a F) G)) ((comp_a_c_a F) H))->(((inj_on_a_c F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H))))
% 0.55/0.71 FOF formula (forall (F:(a->a)) (G:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) ((comp_a_a_a F) H))->(((inj_on_a_a F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H)))) of role axiom named fact_17_o__inj__on
% 0.55/0.71 A new axiom: (forall (F:(a->a)) (G:(a->a)) (H:(a->a)), ((((eq (a->a)) ((comp_a_a_a F) G)) ((comp_a_a_a F) H))->(((inj_on_a_a F) ((sup_sup_set_a ((image_a_a G) top_top_set_a)) ((image_a_a H) top_top_set_a)))->(((eq (a->a)) G) H))))
% 0.55/0.71 FOF formula (forall (G:(a->b)) (F:(c->b)), (((eq Prop) ((ex (a->c)) (fun (H2:(a->c))=> (((eq (a->b)) G) ((comp_c_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex c) (fun (Y:c)=> (((eq b) X2) (F Y)))))))) of role axiom named fact_18_ex__o__conv
% 0.55/0.71 A new axiom: (forall (G:(a->b)) (F:(c->b)), (((eq Prop) ((ex (a->c)) (fun (H2:(a->c))=> (((eq (a->b)) G) ((comp_c_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex c) (fun (Y:c)=> (((eq b) X2) (F Y))))))))
% 0.55/0.71 FOF formula (forall (G:(a->b)) (F:(a->b)), (((eq Prop) ((ex (a->a)) (fun (H2:(a->a))=> (((eq (a->b)) G) ((comp_a_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex a) (fun (Y:a)=> (((eq b) X2) (F Y)))))))) of role axiom named fact_19_ex__o__conv
% 0.55/0.71 A new axiom: (forall (G:(a->b)) (F:(a->b)), (((eq Prop) ((ex (a->a)) (fun (H2:(a->a))=> (((eq (a->b)) G) ((comp_a_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex a) (fun (Y:a)=> (((eq b) X2) (F Y))))))))
% 0.55/0.71 FOF formula (forall (G:(a->b)) (F:(b->b)), (((eq Prop) ((ex (a->b)) (fun (H2:(a->b))=> (((eq (a->b)) G) ((comp_b_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex b) (fun (Y:b)=> (((eq b) X2) (F Y)))))))) of role axiom named fact_20_ex__o__conv
% 0.55/0.71 A new axiom: (forall (G:(a->b)) (F:(b->b)), (((eq Prop) ((ex (a->b)) (fun (H2:(a->b))=> (((eq (a->b)) G) ((comp_b_b_a F) H2))))) (forall (X2:b), (((member_b X2) ((image_a_b G) top_top_set_a))->((ex b) (fun (Y:b)=> (((eq b) X2) (F Y))))))))
% 0.55/0.71 FOF formula (forall (G:(c->b)) (F:(a->b)), (((eq Prop) ((ex (c->a)) (fun (H2:(c->a))=> (((eq (c->b)) G) ((comp_a_b_c F) H2))))) (forall (X2:b), (((member_b X2) ((image_c_b G) top_top_set_c))->((ex a) (fun (Y:a)=> (((eq b) X2) (F Y)))))))) of role axiom named fact_21_ex__o__conv
% 0.55/0.71 A new axiom: (forall (G:(c->b)) (F:(a->b)), (((eq Prop) ((ex (c->a)) (fun (H2:(c->a))=> (((eq (c->b)) G) ((comp_a_b_c F) H2))))) (forall (X2:b), (((member_b X2) ((image_c_b G) top_top_set_c))->((ex a) (fun (Y:a)=> (((eq b) X2) (F Y))))))))
% 0.55/0.71 FOF formula (forall (F:(c->b)) (H:(a->c)) (G:(c->b)), (((eq Prop) (((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a G) H))) (forall (X2:c), (((member_c X2) ((image_a_c H) top_top_set_a))->(((eq b) (F X2)) (G X2)))))) of role axiom named fact_22_o__eq__conv
% 0.55/0.71 A new axiom: (forall (F:(c->b)) (H:(a->c)) (G:(c->b)), (((eq Prop) (((eq (a->b)) ((comp_c_b_a F) H)) ((comp_c_b_a G) H))) (forall (X2:c), (((member_c X2) ((image_a_c H) top_top_set_a))->(((eq b) (F X2)) (G X2))))))
% 0.55/0.71 FOF formula (forall (F:(a->b)) (H:(a->a)) (G:(a->b)), (((eq Prop) (((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a G) H))) (forall (X2:a), (((member_a X2) ((image_a_a H) top_top_set_a))->(((eq b) (F X2)) (G X2)))))) of role axiom named fact_23_o__eq__conv
% 0.55/0.71 A new axiom: (forall (F:(a->b)) (H:(a->a)) (G:(a->b)), (((eq Prop) (((eq (a->b)) ((comp_a_b_a F) H)) ((comp_a_b_a G) H))) (forall (X2:a), (((member_a X2) ((image_a_a H) top_top_set_a))->(((eq b) (F X2)) (G X2))))))
% 0.55/0.72 FOF formula (forall (F:(b->b)) (H:(a->b)) (G:(b->b)), (((eq Prop) (((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a G) H))) (forall (X2:b), (((member_b X2) ((image_a_b H) top_top_set_a))->(((eq b) (F X2)) (G X2)))))) of role axiom named fact_24_o__eq__conv
% 0.55/0.72 A new axiom: (forall (F:(b->b)) (H:(a->b)) (G:(b->b)), (((eq Prop) (((eq (a->b)) ((comp_b_b_a F) H)) ((comp_b_b_a G) H))) (forall (X2:b), (((member_b X2) ((image_a_b H) top_top_set_a))->(((eq b) (F X2)) (G X2))))))
% 0.55/0.72 FOF formula (forall (F:(a->b)) (H:(c->a)) (G:(a->b)), (((eq Prop) (((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c G) H))) (forall (X2:a), (((member_a X2) ((image_c_a H) top_top_set_c))->(((eq b) (F X2)) (G X2)))))) of role axiom named fact_25_o__eq__conv
% 0.55/0.72 A new axiom: (forall (F:(a->b)) (H:(c->a)) (G:(a->b)), (((eq Prop) (((eq (c->b)) ((comp_a_b_c F) H)) ((comp_a_b_c G) H))) (forall (X2:a), (((member_a X2) ((image_c_a H) top_top_set_c))->(((eq b) (F X2)) (G X2))))))
% 0.55/0.72 FOF formula (forall (X3:set_b), (((eq set_b) ((sup_sup_set_b top_top_set_b) X3)) top_top_set_b)) of role axiom named fact_26_sup__top__left
% 0.55/0.72 A new axiom: (forall (X3:set_b), (((eq set_b) ((sup_sup_set_b top_top_set_b) X3)) top_top_set_b))
% 0.55/0.72 FOF formula (forall (X3:set_c_a), (((eq set_c_a) ((sup_sup_set_c_a top_top_set_c_a) X3)) top_top_set_c_a)) of role axiom named fact_27_sup__top__left
% 0.55/0.72 A new axiom: (forall (X3:set_c_a), (((eq set_c_a) ((sup_sup_set_c_a top_top_set_c_a) X3)) top_top_set_c_a))
% 0.55/0.72 FOF formula (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a top_top_set_a) X3)) top_top_set_a)) of role axiom named fact_28_sup__top__left
% 0.55/0.72 A new axiom: (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a top_top_set_a) X3)) top_top_set_a))
% 0.55/0.72 FOF formula (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c top_top_set_c) X3)) top_top_set_c)) of role axiom named fact_29_sup__top__left
% 0.55/0.72 A new axiom: (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c top_top_set_c) X3)) top_top_set_c))
% 0.55/0.72 FOF formula (forall (X3:set_b), (((eq set_b) ((sup_sup_set_b X3) top_top_set_b)) top_top_set_b)) of role axiom named fact_30_sup__top__right
% 0.55/0.72 A new axiom: (forall (X3:set_b), (((eq set_b) ((sup_sup_set_b X3) top_top_set_b)) top_top_set_b))
% 0.55/0.72 FOF formula (forall (X3:set_c_a), (((eq set_c_a) ((sup_sup_set_c_a X3) top_top_set_c_a)) top_top_set_c_a)) of role axiom named fact_31_sup__top__right
% 0.55/0.72 A new axiom: (forall (X3:set_c_a), (((eq set_c_a) ((sup_sup_set_c_a X3) top_top_set_c_a)) top_top_set_c_a))
% 0.55/0.72 FOF formula (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a X3) top_top_set_a)) top_top_set_a)) of role axiom named fact_32_sup__top__right
% 0.55/0.72 A new axiom: (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a X3) top_top_set_a)) top_top_set_a))
% 0.55/0.72 FOF formula (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c X3) top_top_set_c)) top_top_set_c)) of role axiom named fact_33_sup__top__right
% 0.55/0.72 A new axiom: (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c X3) top_top_set_c)) top_top_set_c))
% 0.55/0.72 FOF formula (forall (F:(b->b)) (A:set_b) (B:set_b), (((inj_on_b_b F) ((sup_sup_set_b A) B))->(((eq Prop) (((eq set_b) ((image_b_b F) A)) ((image_b_b F) B))) (((eq set_b) A) B)))) of role axiom named fact_34_inj__on__Un__image__eq__iff
% 0.55/0.72 A new axiom: (forall (F:(b->b)) (A:set_b) (B:set_b), (((inj_on_b_b F) ((sup_sup_set_b A) B))->(((eq Prop) (((eq set_b) ((image_b_b F) A)) ((image_b_b F) B))) (((eq set_b) A) B))))
% 0.55/0.72 FOF formula (forall (F:(a->c)) (A:set_a) (B:set_a), (((inj_on_a_c F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_c) ((image_a_c F) A)) ((image_a_c F) B))) (((eq set_a) A) B)))) of role axiom named fact_35_inj__on__Un__image__eq__iff
% 0.55/0.72 A new axiom: (forall (F:(a->c)) (A:set_a) (B:set_a), (((inj_on_a_c F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_c) ((image_a_c F) A)) ((image_a_c F) B))) (((eq set_a) A) B))))
% 0.55/0.72 FOF formula (forall (F:(a->a)) (A:set_a) (B:set_a), (((inj_on_a_a F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_a) ((image_a_a F) A)) ((image_a_a F) B))) (((eq set_a) A) B)))) of role axiom named fact_36_inj__on__Un__image__eq__iff
% 0.55/0.74 A new axiom: (forall (F:(a->a)) (A:set_a) (B:set_a), (((inj_on_a_a F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_a) ((image_a_a F) A)) ((image_a_a F) B))) (((eq set_a) A) B))))
% 0.55/0.74 FOF formula (forall (F:(c->b)) (A:set_c) (B:set_c), (((inj_on_c_b F) ((sup_sup_set_c A) B))->(((eq Prop) (((eq set_b) ((image_c_b F) A)) ((image_c_b F) B))) (((eq set_c) A) B)))) of role axiom named fact_37_inj__on__Un__image__eq__iff
% 0.55/0.74 A new axiom: (forall (F:(c->b)) (A:set_c) (B:set_c), (((inj_on_c_b F) ((sup_sup_set_c A) B))->(((eq Prop) (((eq set_b) ((image_c_b F) A)) ((image_c_b F) B))) (((eq set_c) A) B))))
% 0.55/0.74 FOF formula (forall (F:(c->a)) (A:set_c) (B:set_c), (((inj_on_c_a F) ((sup_sup_set_c A) B))->(((eq Prop) (((eq set_a) ((image_c_a F) A)) ((image_c_a F) B))) (((eq set_c) A) B)))) of role axiom named fact_38_inj__on__Un__image__eq__iff
% 0.55/0.74 A new axiom: (forall (F:(c->a)) (A:set_c) (B:set_c), (((inj_on_c_a F) ((sup_sup_set_c A) B))->(((eq Prop) (((eq set_a) ((image_c_a F) A)) ((image_c_a F) B))) (((eq set_c) A) B))))
% 0.55/0.74 FOF formula (forall (F:(a->b)) (A:set_a) (B:set_a), (((inj_on_a_b F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_b) ((image_a_b F) A)) ((image_a_b F) B))) (((eq set_a) A) B)))) of role axiom named fact_39_inj__on__Un__image__eq__iff
% 0.55/0.74 A new axiom: (forall (F:(a->b)) (A:set_a) (B:set_a), (((inj_on_a_b F) ((sup_sup_set_a A) B))->(((eq Prop) (((eq set_b) ((image_a_b F) A)) ((image_a_b F) B))) (((eq set_a) A) B))))
% 0.55/0.74 FOF formula (forall (F:(b->b)) (G:(a->b)), (((inj_on_b_b F) top_top_set_b)->(((inj_on_a_b G) top_top_set_a)->((inj_on_a_b ((comp_b_b_a F) G)) top_top_set_a)))) of role axiom named fact_40_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(b->b)) (G:(a->b)), (((inj_on_b_b F) top_top_set_b)->(((inj_on_a_b G) top_top_set_a)->((inj_on_a_b ((comp_b_b_a F) G)) top_top_set_a))))
% 0.55/0.74 FOF formula (forall (F:(a->b)) (G:(a->a)), (((inj_on_a_b F) top_top_set_a)->(((inj_on_a_a G) top_top_set_a)->((inj_on_a_b ((comp_a_b_a F) G)) top_top_set_a)))) of role axiom named fact_41_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(a->b)) (G:(a->a)), (((inj_on_a_b F) top_top_set_a)->(((inj_on_a_a G) top_top_set_a)->((inj_on_a_b ((comp_a_b_a F) G)) top_top_set_a))))
% 0.55/0.74 FOF formula (forall (F:(a->b)) (G:(c->a)), (((inj_on_a_b F) top_top_set_a)->(((inj_on_c_a G) top_top_set_c)->((inj_on_c_b ((comp_a_b_c F) G)) top_top_set_c)))) of role axiom named fact_42_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(a->b)) (G:(c->a)), (((inj_on_a_b F) top_top_set_a)->(((inj_on_c_a G) top_top_set_c)->((inj_on_c_b ((comp_a_b_c F) G)) top_top_set_c))))
% 0.55/0.74 FOF formula (forall (F:(c->b)) (G:(a->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_b ((comp_c_b_a F) G)) top_top_set_a)))) of role axiom named fact_43_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(c->b)) (G:(a->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_b ((comp_c_b_a F) G)) top_top_set_a))))
% 0.55/0.74 FOF formula (forall (F:(c->b)) (G:(c->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_c_c G) top_top_set_c)->((inj_on_c_b ((comp_c_b_c F) G)) top_top_set_c)))) of role axiom named fact_44_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(c->b)) (G:(c->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_c_c G) top_top_set_c)->((inj_on_c_b ((comp_c_b_c F) G)) top_top_set_c))))
% 0.55/0.74 FOF formula (forall (F:(c->a)) (G:(c->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_c_c G) top_top_set_c)->((inj_on_c_a ((comp_c_a_c F) G)) top_top_set_c)))) of role axiom named fact_45_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(c->a)) (G:(c->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_c_c G) top_top_set_c)->((inj_on_c_a ((comp_c_a_c F) G)) top_top_set_c))))
% 0.55/0.74 FOF formula (forall (F:(c->c)) (G:(a->c)), (((inj_on_c_c F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_c ((comp_c_c_a F) G)) top_top_set_a)))) of role axiom named fact_46_inj__compose
% 0.55/0.74 A new axiom: (forall (F:(c->c)) (G:(a->c)), (((inj_on_c_c F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_c ((comp_c_c_a F) G)) top_top_set_a))))
% 0.55/0.74 FOF formula (forall (F:(c->a)) (G:(a->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_a ((comp_c_a_a F) G)) top_top_set_a)))) of role axiom named fact_47_inj__compose
% 0.55/0.75 A new axiom: (forall (F:(c->a)) (G:(a->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_a_c G) top_top_set_a)->((inj_on_a_a ((comp_c_a_a F) G)) top_top_set_a))))
% 0.55/0.75 FOF formula (forall (F:(c->b)) (G:(b->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_b_c G) top_top_set_b)->((inj_on_b_b ((comp_c_b_b F) G)) top_top_set_b)))) of role axiom named fact_48_inj__compose
% 0.55/0.75 A new axiom: (forall (F:(c->b)) (G:(b->c)), (((inj_on_c_b F) top_top_set_c)->(((inj_on_b_c G) top_top_set_b)->((inj_on_b_b ((comp_c_b_b F) G)) top_top_set_b))))
% 0.55/0.75 FOF formula (forall (F:(c->a)) (G:(b->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_b_c G) top_top_set_b)->((inj_on_b_a ((comp_c_a_b F) G)) top_top_set_b)))) of role axiom named fact_49_inj__compose
% 0.55/0.75 A new axiom: (forall (F:(c->a)) (G:(b->c)), (((inj_on_c_a F) top_top_set_c)->(((inj_on_b_c G) top_top_set_b)->((inj_on_b_a ((comp_c_a_b F) G)) top_top_set_b))))
% 0.55/0.75 FOF formula (forall (F:(c->b)), (((inj_on_c_b F) top_top_set_c)->((inj_on_a_c_a_b (comp_c_b_a F)) top_top_set_a_c))) of role axiom named fact_50_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(c->b)), (((inj_on_c_b F) top_top_set_c)->((inj_on_a_c_a_b (comp_c_b_a F)) top_top_set_a_c)))
% 0.55/0.75 FOF formula (forall (F:(a->b)), (((inj_on_a_b F) top_top_set_a)->((inj_on_a_a_a_b (comp_a_b_a F)) top_top_set_a_a))) of role axiom named fact_51_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(a->b)), (((inj_on_a_b F) top_top_set_a)->((inj_on_a_a_a_b (comp_a_b_a F)) top_top_set_a_a)))
% 0.55/0.75 FOF formula (forall (F:(a->c)), (((inj_on_a_c F) top_top_set_a)->((inj_on_c_a_c_c (comp_a_c_c F)) top_top_set_c_a))) of role axiom named fact_52_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(a->c)), (((inj_on_a_c F) top_top_set_a)->((inj_on_c_a_c_c (comp_a_c_c F)) top_top_set_c_a)))
% 0.55/0.75 FOF formula (forall (F:(a->a)), (((inj_on_a_a F) top_top_set_a)->((inj_on_c_a_c_a (comp_a_a_c F)) top_top_set_c_a))) of role axiom named fact_53_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(a->a)), (((inj_on_a_a F) top_top_set_a)->((inj_on_c_a_c_a (comp_a_a_c F)) top_top_set_c_a)))
% 0.55/0.75 FOF formula (forall (F:(b->b)), (((inj_on_b_b F) top_top_set_b)->((inj_on_a_b_a_b (comp_b_b_a F)) top_top_set_a_b))) of role axiom named fact_54_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(b->b)), (((inj_on_b_b F) top_top_set_b)->((inj_on_a_b_a_b (comp_b_b_a F)) top_top_set_a_b)))
% 0.55/0.75 FOF formula (forall (F:(a->b)), (((inj_on_a_b F) top_top_set_a)->((inj_on_c_a_c_b (comp_a_b_c F)) top_top_set_c_a))) of role axiom named fact_55_fun_Oinj__map
% 0.55/0.75 A new axiom: (forall (F:(a->b)), (((inj_on_a_b F) top_top_set_a)->((inj_on_c_a_c_b (comp_a_b_c F)) top_top_set_c_a)))
% 0.55/0.75 FOF formula (forall (F:(b->a)) (A:set_b) (G:(a->b)), (((inj_on_b_a F) A)->(((inj_on_a_b G) ((image_b_a F) A))->((inj_on_b_b ((comp_a_b_b G) F)) A)))) of role axiom named fact_56_comp__inj__on
% 0.55/0.75 A new axiom: (forall (F:(b->a)) (A:set_b) (G:(a->b)), (((inj_on_b_a F) A)->(((inj_on_a_b G) ((image_b_a F) A))->((inj_on_b_b ((comp_a_b_b G) F)) A))))
% 0.55/0.75 FOF formula (forall (F:(c->c)) (A:set_c) (G:(c->b)), (((inj_on_c_c F) A)->(((inj_on_c_b G) ((image_c_c F) A))->((inj_on_c_b ((comp_c_b_c G) F)) A)))) of role axiom named fact_57_comp__inj__on
% 0.55/0.75 A new axiom: (forall (F:(c->c)) (A:set_c) (G:(c->b)), (((inj_on_c_c F) A)->(((inj_on_c_b G) ((image_c_c F) A))->((inj_on_c_b ((comp_c_b_c G) F)) A))))
% 0.55/0.75 FOF formula (forall (F:(b->c)) (A:set_b) (G:(c->b)), (((inj_on_b_c F) A)->(((inj_on_c_b G) ((image_b_c F) A))->((inj_on_b_b ((comp_c_b_b G) F)) A)))) of role axiom named fact_58_comp__inj__on
% 0.55/0.75 A new axiom: (forall (F:(b->c)) (A:set_b) (G:(c->b)), (((inj_on_b_c F) A)->(((inj_on_c_b G) ((image_b_c F) A))->((inj_on_b_b ((comp_c_b_b G) F)) A))))
% 0.55/0.75 FOF formula (forall (F:(c->c)) (A:set_c) (G:(c->a)), (((inj_on_c_c F) A)->(((inj_on_c_a G) ((image_c_c F) A))->((inj_on_c_a ((comp_c_a_c G) F)) A)))) of role axiom named fact_59_comp__inj__on
% 0.55/0.75 A new axiom: (forall (F:(c->c)) (A:set_c) (G:(c->a)), (((inj_on_c_c F) A)->(((inj_on_c_a G) ((image_c_c F) A))->((inj_on_c_a ((comp_c_a_c G) F)) A))))
% 0.55/0.75 FOF formula (forall (F:(a->b)) (A:set_a) (G:(b->c)), (((inj_on_a_b F) A)->(((inj_on_b_c G) ((image_a_b F) A))->((inj_on_a_c ((comp_b_c_a G) F)) A)))) of role axiom named fact_60_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(a->b)) (A:set_a) (G:(b->c)), (((inj_on_a_b F) A)->(((inj_on_b_c G) ((image_a_b F) A))->((inj_on_a_c ((comp_b_c_a G) F)) A))))
% 0.61/0.77 FOF formula (forall (F:(a->b)) (A:set_a) (G:(b->a)), (((inj_on_a_b F) A)->(((inj_on_b_a G) ((image_a_b F) A))->((inj_on_a_a ((comp_b_a_a G) F)) A)))) of role axiom named fact_61_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(a->b)) (A:set_a) (G:(b->a)), (((inj_on_a_b F) A)->(((inj_on_b_a G) ((image_a_b F) A))->((inj_on_a_a ((comp_b_a_a G) F)) A))))
% 0.61/0.77 FOF formula (forall (F:(a->b)) (A:set_a) (G:(b->b)), (((inj_on_a_b F) A)->(((inj_on_b_b G) ((image_a_b F) A))->((inj_on_a_b ((comp_b_b_a G) F)) A)))) of role axiom named fact_62_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(a->b)) (A:set_a) (G:(b->b)), (((inj_on_a_b F) A)->(((inj_on_b_b G) ((image_a_b F) A))->((inj_on_a_b ((comp_b_b_a G) F)) A))))
% 0.61/0.77 FOF formula (forall (F:(c->b)) (A:set_c) (G:(b->a)), (((inj_on_c_b F) A)->(((inj_on_b_a G) ((image_c_b F) A))->((inj_on_c_a ((comp_b_a_c G) F)) A)))) of role axiom named fact_63_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(c->b)) (A:set_c) (G:(b->a)), (((inj_on_c_b F) A)->(((inj_on_b_a G) ((image_c_b F) A))->((inj_on_c_a ((comp_b_a_c G) F)) A))))
% 0.61/0.77 FOF formula (forall (F:(c->b)) (A:set_c) (G:(b->b)), (((inj_on_c_b F) A)->(((inj_on_b_b G) ((image_c_b F) A))->((inj_on_c_b ((comp_b_b_c G) F)) A)))) of role axiom named fact_64_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(c->b)) (A:set_c) (G:(b->b)), (((inj_on_c_b F) A)->(((inj_on_b_b G) ((image_c_b F) A))->((inj_on_c_b ((comp_b_b_c G) F)) A))))
% 0.61/0.77 FOF formula (forall (F:(c->a)) (A:set_c) (G:(a->b)), (((inj_on_c_a F) A)->(((inj_on_a_b G) ((image_c_a F) A))->((inj_on_c_b ((comp_a_b_c G) F)) A)))) of role axiom named fact_65_comp__inj__on
% 0.61/0.77 A new axiom: (forall (F:(c->a)) (A:set_c) (G:(a->b)), (((inj_on_c_a F) A)->(((inj_on_a_b G) ((image_c_a F) A))->((inj_on_c_b ((comp_a_b_c G) F)) A))))
% 0.61/0.77 FOF formula (forall (G:(a->c)) (F:(c->a)) (A:set_c), (((inj_on_c_c ((comp_a_c_c G) F)) A)->((inj_on_a_c G) ((image_c_a F) A)))) of role axiom named fact_66_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(a->c)) (F:(c->a)) (A:set_c), (((inj_on_c_c ((comp_a_c_c G) F)) A)->((inj_on_a_c G) ((image_c_a F) A))))
% 0.61/0.77 FOF formula (forall (G:(a->b)) (F:(a->a)) (A:set_a), (((inj_on_a_b ((comp_a_b_a G) F)) A)->((inj_on_a_b G) ((image_a_a F) A)))) of role axiom named fact_67_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(a->b)) (F:(a->a)) (A:set_a), (((inj_on_a_b ((comp_a_b_a G) F)) A)->((inj_on_a_b G) ((image_a_a F) A))))
% 0.61/0.77 FOF formula (forall (G:(c->b)) (F:(a->c)) (A:set_a), (((inj_on_a_b ((comp_c_b_a G) F)) A)->((inj_on_c_b G) ((image_a_c F) A)))) of role axiom named fact_68_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(c->b)) (F:(a->c)) (A:set_a), (((inj_on_a_b ((comp_c_b_a G) F)) A)->((inj_on_c_b G) ((image_a_c F) A))))
% 0.61/0.77 FOF formula (forall (G:(b->b)) (F:(a->b)) (A:set_a), (((inj_on_a_b ((comp_b_b_a G) F)) A)->((inj_on_b_b G) ((image_a_b F) A)))) of role axiom named fact_69_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(b->b)) (F:(a->b)) (A:set_a), (((inj_on_a_b ((comp_b_b_a G) F)) A)->((inj_on_b_b G) ((image_a_b F) A))))
% 0.61/0.77 FOF formula (forall (G:(a->b)) (F:(c->a)) (A:set_c), (((inj_on_c_b ((comp_a_b_c G) F)) A)->((inj_on_a_b G) ((image_c_a F) A)))) of role axiom named fact_70_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(a->b)) (F:(c->a)) (A:set_c), (((inj_on_c_b ((comp_a_b_c G) F)) A)->((inj_on_a_b G) ((image_c_a F) A))))
% 0.61/0.77 FOF formula (forall (G:(c->b)) (F:(c->c)) (A:set_c), (((inj_on_c_b ((comp_c_b_c G) F)) A)->((inj_on_c_b G) ((image_c_c F) A)))) of role axiom named fact_71_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(c->b)) (F:(c->c)) (A:set_c), (((inj_on_c_b ((comp_c_b_c G) F)) A)->((inj_on_c_b G) ((image_c_c F) A))))
% 0.61/0.77 FOF formula (forall (G:(b->b)) (F:(c->b)) (A:set_c), (((inj_on_c_b ((comp_b_b_c G) F)) A)->((inj_on_b_b G) ((image_c_b F) A)))) of role axiom named fact_72_inj__on__imageI
% 0.61/0.77 A new axiom: (forall (G:(b->b)) (F:(c->b)) (A:set_c), (((inj_on_c_b ((comp_b_b_c G) F)) A)->((inj_on_b_b G) ((image_c_b F) A))))
% 0.61/0.79 FOF formula (forall (G:(b->a)) (F:(c->b)) (A:set_c), (((inj_on_c_a ((comp_b_a_c G) F)) A)->((inj_on_b_a G) ((image_c_b F) A)))) of role axiom named fact_73_inj__on__imageI
% 0.61/0.79 A new axiom: (forall (G:(b->a)) (F:(c->b)) (A:set_c), (((inj_on_c_a ((comp_b_a_c G) F)) A)->((inj_on_b_a G) ((image_c_b F) A))))
% 0.61/0.79 FOF formula (forall (G:(c->a)) (F:(c->c)) (A:set_c), (((inj_on_c_a ((comp_c_a_c G) F)) A)->((inj_on_c_a G) ((image_c_c F) A)))) of role axiom named fact_74_inj__on__imageI
% 0.61/0.79 A new axiom: (forall (G:(c->a)) (F:(c->c)) (A:set_c), (((inj_on_c_a ((comp_c_a_c G) F)) A)->((inj_on_c_a G) ((image_c_c F) A))))
% 0.61/0.79 FOF formula (forall (G:(a->a)) (F:(c->a)) (A:set_c), (((inj_on_c_a ((comp_a_a_c G) F)) A)->((inj_on_a_a G) ((image_c_a F) A)))) of role axiom named fact_75_inj__on__imageI
% 0.61/0.79 A new axiom: (forall (G:(a->a)) (F:(c->a)) (A:set_c), (((inj_on_c_a ((comp_a_a_c G) F)) A)->((inj_on_a_a G) ((image_c_a F) A))))
% 0.61/0.79 FOF formula (forall (F:(b->a)) (A:set_b) (F2:(a->b)), (((inj_on_b_a F) A)->(((eq Prop) ((inj_on_a_b F2) ((image_b_a F) A))) ((inj_on_b_b ((comp_a_b_b F2) F)) A)))) of role axiom named fact_76_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(b->a)) (A:set_b) (F2:(a->b)), (((inj_on_b_a F) A)->(((eq Prop) ((inj_on_a_b F2) ((image_b_a F) A))) ((inj_on_b_b ((comp_a_b_b F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(c->c)) (A:set_c) (F2:(c->b)), (((inj_on_c_c F) A)->(((eq Prop) ((inj_on_c_b F2) ((image_c_c F) A))) ((inj_on_c_b ((comp_c_b_c F2) F)) A)))) of role axiom named fact_77_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(c->c)) (A:set_c) (F2:(c->b)), (((inj_on_c_c F) A)->(((eq Prop) ((inj_on_c_b F2) ((image_c_c F) A))) ((inj_on_c_b ((comp_c_b_c F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(b->c)) (A:set_b) (F2:(c->b)), (((inj_on_b_c F) A)->(((eq Prop) ((inj_on_c_b F2) ((image_b_c F) A))) ((inj_on_b_b ((comp_c_b_b F2) F)) A)))) of role axiom named fact_78_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(b->c)) (A:set_b) (F2:(c->b)), (((inj_on_b_c F) A)->(((eq Prop) ((inj_on_c_b F2) ((image_b_c F) A))) ((inj_on_b_b ((comp_c_b_b F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(c->c)) (A:set_c) (F2:(c->a)), (((inj_on_c_c F) A)->(((eq Prop) ((inj_on_c_a F2) ((image_c_c F) A))) ((inj_on_c_a ((comp_c_a_c F2) F)) A)))) of role axiom named fact_79_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(c->c)) (A:set_c) (F2:(c->a)), (((inj_on_c_c F) A)->(((eq Prop) ((inj_on_c_a F2) ((image_c_c F) A))) ((inj_on_c_a ((comp_c_a_c F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(a->b)) (A:set_a) (F2:(b->c)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_c F2) ((image_a_b F) A))) ((inj_on_a_c ((comp_b_c_a F2) F)) A)))) of role axiom named fact_80_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(a->b)) (A:set_a) (F2:(b->c)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_c F2) ((image_a_b F) A))) ((inj_on_a_c ((comp_b_c_a F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(a->b)) (A:set_a) (F2:(b->a)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_a F2) ((image_a_b F) A))) ((inj_on_a_a ((comp_b_a_a F2) F)) A)))) of role axiom named fact_81_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(a->b)) (A:set_a) (F2:(b->a)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_a F2) ((image_a_b F) A))) ((inj_on_a_a ((comp_b_a_a F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(a->b)) (A:set_a) (F2:(b->b)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_b F2) ((image_a_b F) A))) ((inj_on_a_b ((comp_b_b_a F2) F)) A)))) of role axiom named fact_82_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(a->b)) (A:set_a) (F2:(b->b)), (((inj_on_a_b F) A)->(((eq Prop) ((inj_on_b_b F2) ((image_a_b F) A))) ((inj_on_a_b ((comp_b_b_a F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(c->b)) (A:set_c) (F2:(b->a)), (((inj_on_c_b F) A)->(((eq Prop) ((inj_on_b_a F2) ((image_c_b F) A))) ((inj_on_c_a ((comp_b_a_c F2) F)) A)))) of role axiom named fact_83_comp__inj__on__iff
% 0.61/0.79 A new axiom: (forall (F:(c->b)) (A:set_c) (F2:(b->a)), (((inj_on_c_b F) A)->(((eq Prop) ((inj_on_b_a F2) ((image_c_b F) A))) ((inj_on_c_a ((comp_b_a_c F2) F)) A))))
% 0.61/0.79 FOF formula (forall (F:(c->b)) (A:set_c) (F2:(b->b)), (((inj_on_c_b F) A)->(((eq Prop) ((inj_on_b_b F2) ((image_c_b F) A))) ((inj_on_c_b ((comp_b_b_c F2) F)) A)))) of role axiom named fact_84_comp__inj__on__iff
% 0.61/0.81 A new axiom: (forall (F:(c->b)) (A:set_c) (F2:(b->b)), (((inj_on_c_b F) A)->(((eq Prop) ((inj_on_b_b F2) ((image_c_b F) A))) ((inj_on_c_b ((comp_b_b_c F2) F)) A))))
% 0.61/0.81 FOF formula (forall (F:(c->a)) (A:set_c) (F2:(a->b)), (((inj_on_c_a F) A)->(((eq Prop) ((inj_on_a_b F2) ((image_c_a F) A))) ((inj_on_c_b ((comp_a_b_c F2) F)) A)))) of role axiom named fact_85_comp__inj__on__iff
% 0.61/0.81 A new axiom: (forall (F:(c->a)) (A:set_c) (F2:(a->b)), (((inj_on_c_a F) A)->(((eq Prop) ((inj_on_a_b F2) ((image_c_a F) A))) ((inj_on_c_b ((comp_a_b_c F2) F)) A))))
% 0.61/0.81 FOF formula (forall (F:(c->b)) (B2:b), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) ((member_b B2) ((image_c_b F) top_top_set_c))) ((ex c) (fun (X2:c)=> ((and (((eq b) B2) (F X2))) (forall (Y:c), ((((eq b) B2) (F Y))->(((eq c) Y) X2))))))))) of role axiom named fact_86_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(c->b)) (B2:b), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) ((member_b B2) ((image_c_b F) top_top_set_c))) ((ex c) (fun (X2:c)=> ((and (((eq b) B2) (F X2))) (forall (Y:c), ((((eq b) B2) (F Y))->(((eq c) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(c->a)) (B2:a), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) ((member_a B2) ((image_c_a F) top_top_set_c))) ((ex c) (fun (X2:c)=> ((and (((eq a) B2) (F X2))) (forall (Y:c), ((((eq a) B2) (F Y))->(((eq c) Y) X2))))))))) of role axiom named fact_87_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(c->a)) (B2:a), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) ((member_a B2) ((image_c_a F) top_top_set_c))) ((ex c) (fun (X2:c)=> ((and (((eq a) B2) (F X2))) (forall (Y:c), ((((eq a) B2) (F Y))->(((eq c) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(a->b)) (B2:b), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) ((member_b B2) ((image_a_b F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq b) B2) (F X2))) (forall (Y:a), ((((eq b) B2) (F Y))->(((eq a) Y) X2))))))))) of role axiom named fact_88_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(a->b)) (B2:b), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) ((member_b B2) ((image_a_b F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq b) B2) (F X2))) (forall (Y:a), ((((eq b) B2) (F Y))->(((eq a) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(a->c)) (B2:c), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) ((member_c B2) ((image_a_c F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq c) B2) (F X2))) (forall (Y:a), ((((eq c) B2) (F Y))->(((eq a) Y) X2))))))))) of role axiom named fact_89_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(a->c)) (B2:c), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) ((member_c B2) ((image_a_c F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq c) B2) (F X2))) (forall (Y:a), ((((eq c) B2) (F Y))->(((eq a) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(a->a)) (B2:a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) ((member_a B2) ((image_a_a F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq a) B2) (F X2))) (forall (Y:a), ((((eq a) B2) (F Y))->(((eq a) Y) X2))))))))) of role axiom named fact_90_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(a->a)) (B2:a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) ((member_a B2) ((image_a_a F) top_top_set_a))) ((ex a) (fun (X2:a)=> ((and (((eq a) B2) (F X2))) (forall (Y:a), ((((eq a) B2) (F Y))->(((eq a) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(b->b)) (B2:b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) ((member_b B2) ((image_b_b F) top_top_set_b))) ((ex b) (fun (X2:b)=> ((and (((eq b) B2) (F X2))) (forall (Y:b), ((((eq b) B2) (F Y))->(((eq b) Y) X2))))))))) of role axiom named fact_91_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(b->b)) (B2:b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) ((member_b B2) ((image_b_b F) top_top_set_b))) ((ex b) (fun (X2:b)=> ((and (((eq b) B2) (F X2))) (forall (Y:b), ((((eq b) B2) (F Y))->(((eq b) Y) X2)))))))))
% 0.61/0.81 FOF formula (forall (F:(b->a)) (B2:a), (((inj_on_b_a F) top_top_set_b)->(((eq Prop) ((member_a B2) ((image_b_a F) top_top_set_b))) ((ex b) (fun (X2:b)=> ((and (((eq a) B2) (F X2))) (forall (Y:b), ((((eq a) B2) (F Y))->(((eq b) Y) X2))))))))) of role axiom named fact_92_range__ex1__eq
% 0.61/0.81 A new axiom: (forall (F:(b->a)) (B2:a), (((inj_on_b_a F) top_top_set_b)->(((eq Prop) ((member_a B2) ((image_b_a F) top_top_set_b))) ((ex b) (fun (X2:b)=> ((and (((eq a) B2) (F X2))) (forall (Y:b), ((((eq a) B2) (F Y))->(((eq b) Y) X2)))))))))
% 0.61/0.82 FOF formula (forall (F:((c->a)->a)) (B2:a), (((inj_on_c_a_a F) top_top_set_c_a)->(((eq Prop) ((member_a B2) ((image_c_a_a F) top_top_set_c_a))) ((ex (c->a)) (fun (X2:(c->a))=> ((and (((eq a) B2) (F X2))) (forall (Y:(c->a)), ((((eq a) B2) (F Y))->(((eq (c->a)) Y) X2))))))))) of role axiom named fact_93_range__ex1__eq
% 0.61/0.82 A new axiom: (forall (F:((c->a)->a)) (B2:a), (((inj_on_c_a_a F) top_top_set_c_a)->(((eq Prop) ((member_a B2) ((image_c_a_a F) top_top_set_c_a))) ((ex (c->a)) (fun (X2:(c->a))=> ((and (((eq a) B2) (F X2))) (forall (Y:(c->a)), ((((eq a) B2) (F Y))->(((eq (c->a)) Y) X2)))))))))
% 0.61/0.82 FOF formula (forall (F:(c->b)) (A:set_c) (B:set_c), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) (((eq set_b) ((image_c_b F) A)) ((image_c_b F) B))) (((eq set_c) A) B)))) of role axiom named fact_94_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(c->b)) (A:set_c) (B:set_c), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) (((eq set_b) ((image_c_b F) A)) ((image_c_b F) B))) (((eq set_c) A) B))))
% 0.61/0.82 FOF formula (forall (F:(c->a)) (A:set_c) (B:set_c), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) (((eq set_a) ((image_c_a F) A)) ((image_c_a F) B))) (((eq set_c) A) B)))) of role axiom named fact_95_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(c->a)) (A:set_c) (B:set_c), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) (((eq set_a) ((image_c_a F) A)) ((image_c_a F) B))) (((eq set_c) A) B))))
% 0.61/0.82 FOF formula (forall (F:(a->b)) (A:set_a) (B:set_a), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) (((eq set_b) ((image_a_b F) A)) ((image_a_b F) B))) (((eq set_a) A) B)))) of role axiom named fact_96_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(a->b)) (A:set_a) (B:set_a), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) (((eq set_b) ((image_a_b F) A)) ((image_a_b F) B))) (((eq set_a) A) B))))
% 0.61/0.82 FOF formula (forall (F:(a->c)) (A:set_a) (B:set_a), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) (((eq set_c) ((image_a_c F) A)) ((image_a_c F) B))) (((eq set_a) A) B)))) of role axiom named fact_97_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(a->c)) (A:set_a) (B:set_a), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) (((eq set_c) ((image_a_c F) A)) ((image_a_c F) B))) (((eq set_a) A) B))))
% 0.61/0.82 FOF formula (forall (F:(a->a)) (A:set_a) (B:set_a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) (((eq set_a) ((image_a_a F) A)) ((image_a_a F) B))) (((eq set_a) A) B)))) of role axiom named fact_98_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(a->a)) (A:set_a) (B:set_a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) (((eq set_a) ((image_a_a F) A)) ((image_a_a F) B))) (((eq set_a) A) B))))
% 0.61/0.82 FOF formula (forall (F:(b->b)) (A:set_b) (B:set_b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) (((eq set_b) ((image_b_b F) A)) ((image_b_b F) B))) (((eq set_b) A) B)))) of role axiom named fact_99_inj__image__eq__iff
% 0.61/0.82 A new axiom: (forall (F:(b->b)) (A:set_b) (B:set_b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) (((eq set_b) ((image_b_b F) A)) ((image_b_b F) B))) (((eq set_b) A) B))))
% 0.61/0.82 FOF formula (forall (F:(c->b)) (A2:c) (A:set_c), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) ((member_b (F A2)) ((image_c_b F) A))) ((member_c A2) A)))) of role axiom named fact_100_inj__image__mem__iff
% 0.61/0.82 A new axiom: (forall (F:(c->b)) (A2:c) (A:set_c), (((inj_on_c_b F) top_top_set_c)->(((eq Prop) ((member_b (F A2)) ((image_c_b F) A))) ((member_c A2) A))))
% 0.61/0.82 FOF formula (forall (F:(c->a)) (A2:c) (A:set_c), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) ((member_a (F A2)) ((image_c_a F) A))) ((member_c A2) A)))) of role axiom named fact_101_inj__image__mem__iff
% 0.61/0.82 A new axiom: (forall (F:(c->a)) (A2:c) (A:set_c), (((inj_on_c_a F) top_top_set_c)->(((eq Prop) ((member_a (F A2)) ((image_c_a F) A))) ((member_c A2) A))))
% 0.61/0.82 FOF formula (forall (F:(a->b)) (A2:a) (A:set_a), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) ((member_b (F A2)) ((image_a_b F) A))) ((member_a A2) A)))) of role axiom named fact_102_inj__image__mem__iff
% 0.61/0.82 A new axiom: (forall (F:(a->b)) (A2:a) (A:set_a), (((inj_on_a_b F) top_top_set_a)->(((eq Prop) ((member_b (F A2)) ((image_a_b F) A))) ((member_a A2) A))))
% 0.61/0.83 FOF formula (forall (F:(a->c)) (A2:a) (A:set_a), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) ((member_c (F A2)) ((image_a_c F) A))) ((member_a A2) A)))) of role axiom named fact_103_inj__image__mem__iff
% 0.61/0.83 A new axiom: (forall (F:(a->c)) (A2:a) (A:set_a), (((inj_on_a_c F) top_top_set_a)->(((eq Prop) ((member_c (F A2)) ((image_a_c F) A))) ((member_a A2) A))))
% 0.61/0.83 FOF formula (forall (F:(a->a)) (A2:a) (A:set_a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) ((member_a (F A2)) ((image_a_a F) A))) ((member_a A2) A)))) of role axiom named fact_104_inj__image__mem__iff
% 0.61/0.83 A new axiom: (forall (F:(a->a)) (A2:a) (A:set_a), (((inj_on_a_a F) top_top_set_a)->(((eq Prop) ((member_a (F A2)) ((image_a_a F) A))) ((member_a A2) A))))
% 0.61/0.83 FOF formula (forall (F:(b->b)) (A2:b) (A:set_b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) ((member_b (F A2)) ((image_b_b F) A))) ((member_b A2) A)))) of role axiom named fact_105_inj__image__mem__iff
% 0.61/0.83 A new axiom: (forall (F:(b->b)) (A2:b) (A:set_b), (((inj_on_b_b F) top_top_set_b)->(((eq Prop) ((member_b (F A2)) ((image_b_b F) A))) ((member_b A2) A))))
% 0.61/0.83 FOF formula (forall (F:(b->a)) (A2:b) (A:set_b), (((inj_on_b_a F) top_top_set_b)->(((eq Prop) ((member_a (F A2)) ((image_b_a F) A))) ((member_b A2) A)))) of role axiom named fact_106_inj__image__mem__iff
% 0.61/0.83 A new axiom: (forall (F:(b->a)) (A2:b) (A:set_b), (((inj_on_b_a F) top_top_set_b)->(((eq Prop) ((member_a (F A2)) ((image_b_a F) A))) ((member_b A2) A))))
% 0.61/0.83 FOF formula (forall (F:((c->a)->a)) (A2:(c->a)) (A:set_c_a), (((inj_on_c_a_a F) top_top_set_c_a)->(((eq Prop) ((member_a (F A2)) ((image_c_a_a F) A))) ((member_c_a A2) A)))) of role axiom named fact_107_inj__image__mem__iff
% 0.61/0.83 A new axiom: (forall (F:((c->a)->a)) (A2:(c->a)) (A:set_c_a), (((inj_on_c_a_a F) top_top_set_c_a)->(((eq Prop) ((member_a (F A2)) ((image_c_a_a F) A))) ((member_c_a A2) A))))
% 0.61/0.83 FOF formula (forall (F:(c->c)) (G:(c->c)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_c_c_c G) F)) top_top_set_c)) top_top_set_c)))) of role axiom named fact_108_comp__surj
% 0.61/0.83 A new axiom: (forall (F:(c->c)) (G:(c->c)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_c_c_c G) F)) top_top_set_c)) top_top_set_c))))
% 0.61/0.83 FOF formula (forall (F:(c->c)) (G:(c->a)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_a) ((image_c_a G) top_top_set_c)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_c_a_c G) F)) top_top_set_c)) top_top_set_a)))) of role axiom named fact_109_comp__surj
% 0.61/0.83 A new axiom: (forall (F:(c->c)) (G:(c->a)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_a) ((image_c_a G) top_top_set_c)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_c_a_c G) F)) top_top_set_c)) top_top_set_a))))
% 0.61/0.83 FOF formula (forall (F:(c->c)) (G:(c->b)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_b) ((image_c_b G) top_top_set_c)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_c_b_c G) F)) top_top_set_c)) top_top_set_b)))) of role axiom named fact_110_comp__surj
% 0.61/0.83 A new axiom: (forall (F:(c->c)) (G:(c->b)), ((((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)->((((eq set_b) ((image_c_b G) top_top_set_c)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_c_b_c G) F)) top_top_set_c)) top_top_set_b))))
% 0.61/0.83 FOF formula (forall (F:(c->a)) (G:(a->c)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_c) ((image_a_c G) top_top_set_a)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_a_c_c G) F)) top_top_set_c)) top_top_set_c)))) of role axiom named fact_111_comp__surj
% 0.61/0.83 A new axiom: (forall (F:(c->a)) (G:(a->c)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_c) ((image_a_c G) top_top_set_a)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_a_c_c G) F)) top_top_set_c)) top_top_set_c))))
% 0.61/0.83 FOF formula (forall (F:(c->a)) (G:(a->a)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_a) ((image_a_a G) top_top_set_a)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_a_a_c G) F)) top_top_set_c)) top_top_set_a)))) of role axiom named fact_112_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(c->a)) (G:(a->a)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_a) ((image_a_a G) top_top_set_a)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_a_a_c G) F)) top_top_set_c)) top_top_set_a))))
% 0.61/0.84 FOF formula (forall (F:(c->a)) (G:(a->b)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_b) ((image_a_b G) top_top_set_a)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_a_b_c G) F)) top_top_set_c)) top_top_set_b)))) of role axiom named fact_113_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(c->a)) (G:(a->b)), ((((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)->((((eq set_b) ((image_a_b G) top_top_set_a)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_a_b_c G) F)) top_top_set_c)) top_top_set_b))))
% 0.61/0.84 FOF formula (forall (F:(c->b)) (G:(b->c)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_c) ((image_b_c G) top_top_set_b)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_b_c_c G) F)) top_top_set_c)) top_top_set_c)))) of role axiom named fact_114_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(c->b)) (G:(b->c)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_c) ((image_b_c G) top_top_set_b)) top_top_set_c)->(((eq set_c) ((image_c_c ((comp_b_c_c G) F)) top_top_set_c)) top_top_set_c))))
% 0.61/0.84 FOF formula (forall (F:(c->b)) (G:(b->a)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_a) ((image_b_a G) top_top_set_b)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_b_a_c G) F)) top_top_set_c)) top_top_set_a)))) of role axiom named fact_115_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(c->b)) (G:(b->a)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_a) ((image_b_a G) top_top_set_b)) top_top_set_a)->(((eq set_a) ((image_c_a ((comp_b_a_c G) F)) top_top_set_c)) top_top_set_a))))
% 0.61/0.84 FOF formula (forall (F:(c->b)) (G:(b->b)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_b) ((image_b_b G) top_top_set_b)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_b_b_c G) F)) top_top_set_c)) top_top_set_b)))) of role axiom named fact_116_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(c->b)) (G:(b->b)), ((((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)->((((eq set_b) ((image_b_b G) top_top_set_b)) top_top_set_b)->(((eq set_b) ((image_c_b ((comp_b_b_c G) F)) top_top_set_c)) top_top_set_b))))
% 0.61/0.84 FOF formula (forall (F:(a->c)) (G:(c->c)), ((((eq set_c) ((image_a_c F) top_top_set_a)) top_top_set_c)->((((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c)->(((eq set_c) ((image_a_c ((comp_c_c_a G) F)) top_top_set_a)) top_top_set_c)))) of role axiom named fact_117_comp__surj
% 0.61/0.84 A new axiom: (forall (F:(a->c)) (G:(c->c)), ((((eq set_c) ((image_a_c F) top_top_set_a)) top_top_set_c)->((((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c)->(((eq set_c) ((image_a_c ((comp_c_c_a G) F)) top_top_set_a)) top_top_set_c))))
% 0.61/0.84 FOF formula (forall (A2:set_a) (B2:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a A2) B2)) B2)) ((sup_sup_set_a A2) B2))) of role axiom named fact_118_sup_Oright__idem
% 0.61/0.84 A new axiom: (forall (A2:set_a) (B2:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a A2) B2)) B2)) ((sup_sup_set_a A2) B2)))
% 0.61/0.84 FOF formula (forall (A2:set_c) (B2:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c A2) B2)) B2)) ((sup_sup_set_c A2) B2))) of role axiom named fact_119_sup_Oright__idem
% 0.61/0.84 A new axiom: (forall (A2:set_c) (B2:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c A2) B2)) B2)) ((sup_sup_set_c A2) B2)))
% 0.61/0.84 FOF formula (forall (X3:set_a) (Y2:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a X3) Y2))) ((sup_sup_set_a X3) Y2))) of role axiom named fact_120_sup__left__idem
% 0.61/0.84 A new axiom: (forall (X3:set_a) (Y2:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a X3) Y2))) ((sup_sup_set_a X3) Y2)))
% 0.61/0.84 FOF formula (forall (X3:set_c) (Y2:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c X3) Y2))) ((sup_sup_set_c X3) Y2))) of role axiom named fact_121_sup__left__idem
% 0.61/0.85 A new axiom: (forall (X3:set_c) (Y2:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c X3) Y2))) ((sup_sup_set_c X3) Y2)))
% 0.61/0.85 FOF formula (forall (A2:set_a) (B2:set_a), (((eq set_a) ((sup_sup_set_a A2) ((sup_sup_set_a A2) B2))) ((sup_sup_set_a A2) B2))) of role axiom named fact_122_sup_Oleft__idem
% 0.61/0.85 A new axiom: (forall (A2:set_a) (B2:set_a), (((eq set_a) ((sup_sup_set_a A2) ((sup_sup_set_a A2) B2))) ((sup_sup_set_a A2) B2)))
% 0.61/0.85 FOF formula (forall (A2:set_c) (B2:set_c), (((eq set_c) ((sup_sup_set_c A2) ((sup_sup_set_c A2) B2))) ((sup_sup_set_c A2) B2))) of role axiom named fact_123_sup_Oleft__idem
% 0.61/0.85 A new axiom: (forall (A2:set_c) (B2:set_c), (((eq set_c) ((sup_sup_set_c A2) ((sup_sup_set_c A2) B2))) ((sup_sup_set_c A2) B2)))
% 0.61/0.85 FOF formula (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a X3) X3)) X3)) of role axiom named fact_124_sup__idem
% 0.61/0.85 A new axiom: (forall (X3:set_a), (((eq set_a) ((sup_sup_set_a X3) X3)) X3))
% 0.61/0.85 FOF formula (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c X3) X3)) X3)) of role axiom named fact_125_sup__idem
% 0.61/0.85 A new axiom: (forall (X3:set_c), (((eq set_c) ((sup_sup_set_c X3) X3)) X3))
% 0.61/0.85 FOF formula (forall (A2:set_a), (((eq set_a) ((sup_sup_set_a A2) A2)) A2)) of role axiom named fact_126_sup_Oidem
% 0.61/0.85 A new axiom: (forall (A2:set_a), (((eq set_a) ((sup_sup_set_a A2) A2)) A2))
% 0.61/0.85 FOF formula (forall (A2:set_c), (((eq set_c) ((sup_sup_set_c A2) A2)) A2)) of role axiom named fact_127_sup_Oidem
% 0.61/0.85 A new axiom: (forall (A2:set_c), (((eq set_c) ((sup_sup_set_c A2) A2)) A2))
% 0.61/0.85 FOF formula (((eq ((a->b)->((c->a)->(c->b)))) comp_a_b_c) (fun (F3:(a->b)) (G2:(c->a)) (X2:c)=> (F3 (G2 X2)))) of role axiom named fact_128_comp__apply
% 0.61/0.85 A new axiom: (((eq ((a->b)->((c->a)->(c->b)))) comp_a_b_c) (fun (F3:(a->b)) (G2:(c->a)) (X2:c)=> (F3 (G2 X2))))
% 0.61/0.85 FOF formula (((eq ((c->b)->((a->c)->(a->b)))) comp_c_b_a) (fun (F3:(c->b)) (G2:(a->c)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_129_comp__apply
% 0.61/0.85 A new axiom: (((eq ((c->b)->((a->c)->(a->b)))) comp_c_b_a) (fun (F3:(c->b)) (G2:(a->c)) (X2:a)=> (F3 (G2 X2))))
% 0.61/0.85 FOF formula (((eq ((a->b)->((a->a)->(a->b)))) comp_a_b_a) (fun (F3:(a->b)) (G2:(a->a)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_130_comp__apply
% 0.61/0.85 A new axiom: (((eq ((a->b)->((a->a)->(a->b)))) comp_a_b_a) (fun (F3:(a->b)) (G2:(a->a)) (X2:a)=> (F3 (G2 X2))))
% 0.61/0.85 FOF formula (((eq ((b->b)->((a->b)->(a->b)))) comp_b_b_a) (fun (F3:(b->b)) (G2:(a->b)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_131_comp__apply
% 0.61/0.85 A new axiom: (((eq ((b->b)->((a->b)->(a->b)))) comp_b_b_a) (fun (F3:(b->b)) (G2:(a->b)) (X2:a)=> (F3 (G2 X2))))
% 0.61/0.85 FOF formula (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))) ((sup_sup_set_a Y2) ((sup_sup_set_a X3) Z)))) of role axiom named fact_132_sup__left__commute
% 0.61/0.85 A new axiom: (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))) ((sup_sup_set_a Y2) ((sup_sup_set_a X3) Z))))
% 0.61/0.85 FOF formula (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))) ((sup_sup_set_c Y2) ((sup_sup_set_c X3) Z)))) of role axiom named fact_133_sup__left__commute
% 0.61/0.85 A new axiom: (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))) ((sup_sup_set_c Y2) ((sup_sup_set_c X3) Z))))
% 0.61/0.85 FOF formula (forall (B2:set_a) (A2:set_a) (C:set_a), (((eq set_a) ((sup_sup_set_a B2) ((sup_sup_set_a A2) C))) ((sup_sup_set_a A2) ((sup_sup_set_a B2) C)))) of role axiom named fact_134_sup_Oleft__commute
% 0.61/0.85 A new axiom: (forall (B2:set_a) (A2:set_a) (C:set_a), (((eq set_a) ((sup_sup_set_a B2) ((sup_sup_set_a A2) C))) ((sup_sup_set_a A2) ((sup_sup_set_a B2) C))))
% 0.61/0.85 FOF formula (forall (B2:set_c) (A2:set_c) (C:set_c), (((eq set_c) ((sup_sup_set_c B2) ((sup_sup_set_c A2) C))) ((sup_sup_set_c A2) ((sup_sup_set_c B2) C)))) of role axiom named fact_135_sup_Oleft__commute
% 0.61/0.85 A new axiom: (forall (B2:set_c) (A2:set_c) (C:set_c), (((eq set_c) ((sup_sup_set_c B2) ((sup_sup_set_c A2) C))) ((sup_sup_set_c A2) ((sup_sup_set_c B2) C))))
% 0.70/0.86 FOF formula (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (X2:set_a) (Y:set_a)=> ((sup_sup_set_a Y) X2))) of role axiom named fact_136_sup__commute
% 0.70/0.86 A new axiom: (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (X2:set_a) (Y:set_a)=> ((sup_sup_set_a Y) X2)))
% 0.70/0.86 FOF formula (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (X2:set_c) (Y:set_c)=> ((sup_sup_set_c Y) X2))) of role axiom named fact_137_sup__commute
% 0.70/0.86 A new axiom: (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (X2:set_c) (Y:set_c)=> ((sup_sup_set_c Y) X2)))
% 0.70/0.86 FOF formula (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (A3:set_a) (B3:set_a)=> ((sup_sup_set_a B3) A3))) of role axiom named fact_138_sup_Ocommute
% 0.70/0.86 A new axiom: (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (A3:set_a) (B3:set_a)=> ((sup_sup_set_a B3) A3)))
% 0.70/0.86 FOF formula (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (A3:set_c) (B3:set_c)=> ((sup_sup_set_c B3) A3))) of role axiom named fact_139_sup_Ocommute
% 0.70/0.86 A new axiom: (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (A3:set_c) (B3:set_c)=> ((sup_sup_set_c B3) A3)))
% 0.70/0.86 FOF formula (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a X3) Y2)) Z)) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z)))) of role axiom named fact_140_sup__assoc
% 0.70/0.86 A new axiom: (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a X3) Y2)) Z)) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))))
% 0.70/0.86 FOF formula (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c X3) Y2)) Z)) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z)))) of role axiom named fact_141_sup__assoc
% 0.70/0.86 A new axiom: (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c X3) Y2)) Z)) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))))
% 0.70/0.86 FOF formula (forall (A2:set_a) (B2:set_a) (C:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a A2) B2)) C)) ((sup_sup_set_a A2) ((sup_sup_set_a B2) C)))) of role axiom named fact_142_sup_Oassoc
% 0.70/0.86 A new axiom: (forall (A2:set_a) (B2:set_a) (C:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a A2) B2)) C)) ((sup_sup_set_a A2) ((sup_sup_set_a B2) C))))
% 0.70/0.86 FOF formula (forall (A2:set_c) (B2:set_c) (C:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c A2) B2)) C)) ((sup_sup_set_c A2) ((sup_sup_set_c B2) C)))) of role axiom named fact_143_sup_Oassoc
% 0.70/0.86 A new axiom: (forall (A2:set_c) (B2:set_c) (C:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c A2) B2)) C)) ((sup_sup_set_c A2) ((sup_sup_set_c B2) C))))
% 0.70/0.86 FOF formula (forall (B:set_a) (K:set_a) (B2:set_a) (A2:set_a), ((((eq set_a) B) ((sup_sup_set_a K) B2))->(((eq set_a) ((sup_sup_set_a A2) B)) ((sup_sup_set_a K) ((sup_sup_set_a A2) B2))))) of role axiom named fact_144_boolean__algebra__cancel_Osup2
% 0.70/0.86 A new axiom: (forall (B:set_a) (K:set_a) (B2:set_a) (A2:set_a), ((((eq set_a) B) ((sup_sup_set_a K) B2))->(((eq set_a) ((sup_sup_set_a A2) B)) ((sup_sup_set_a K) ((sup_sup_set_a A2) B2)))))
% 0.70/0.86 FOF formula (forall (B:set_c) (K:set_c) (B2:set_c) (A2:set_c), ((((eq set_c) B) ((sup_sup_set_c K) B2))->(((eq set_c) ((sup_sup_set_c A2) B)) ((sup_sup_set_c K) ((sup_sup_set_c A2) B2))))) of role axiom named fact_145_boolean__algebra__cancel_Osup2
% 0.70/0.86 A new axiom: (forall (B:set_c) (K:set_c) (B2:set_c) (A2:set_c), ((((eq set_c) B) ((sup_sup_set_c K) B2))->(((eq set_c) ((sup_sup_set_c A2) B)) ((sup_sup_set_c K) ((sup_sup_set_c A2) B2)))))
% 0.70/0.86 FOF formula (forall (A:set_a) (K:set_a) (A2:set_a) (B2:set_a), ((((eq set_a) A) ((sup_sup_set_a K) A2))->(((eq set_a) ((sup_sup_set_a A) B2)) ((sup_sup_set_a K) ((sup_sup_set_a A2) B2))))) of role axiom named fact_146_boolean__algebra__cancel_Osup1
% 0.70/0.86 A new axiom: (forall (A:set_a) (K:set_a) (A2:set_a) (B2:set_a), ((((eq set_a) A) ((sup_sup_set_a K) A2))->(((eq set_a) ((sup_sup_set_a A) B2)) ((sup_sup_set_a K) ((sup_sup_set_a A2) B2)))))
% 0.70/0.86 FOF formula (forall (A:set_c) (K:set_c) (A2:set_c) (B2:set_c), ((((eq set_c) A) ((sup_sup_set_c K) A2))->(((eq set_c) ((sup_sup_set_c A) B2)) ((sup_sup_set_c K) ((sup_sup_set_c A2) B2))))) of role axiom named fact_147_boolean__algebra__cancel_Osup1
% 0.70/0.86 A new axiom: (forall (A:set_c) (K:set_c) (A2:set_c) (B2:set_c), ((((eq set_c) A) ((sup_sup_set_c K) A2))->(((eq set_c) ((sup_sup_set_c A) B2)) ((sup_sup_set_c K) ((sup_sup_set_c A2) B2)))))
% 0.70/0.87 FOF formula (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (X2:set_a) (Y:set_a)=> ((sup_sup_set_a Y) X2))) of role axiom named fact_148_inf__sup__aci_I5_J
% 0.70/0.87 A new axiom: (((eq (set_a->(set_a->set_a))) sup_sup_set_a) (fun (X2:set_a) (Y:set_a)=> ((sup_sup_set_a Y) X2)))
% 0.70/0.87 FOF formula (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (X2:set_c) (Y:set_c)=> ((sup_sup_set_c Y) X2))) of role axiom named fact_149_inf__sup__aci_I5_J
% 0.70/0.87 A new axiom: (((eq (set_c->(set_c->set_c))) sup_sup_set_c) (fun (X2:set_c) (Y:set_c)=> ((sup_sup_set_c Y) X2)))
% 0.70/0.87 FOF formula (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a X3) Y2)) Z)) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z)))) of role axiom named fact_150_inf__sup__aci_I6_J
% 0.70/0.87 A new axiom: (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a ((sup_sup_set_a X3) Y2)) Z)) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))))
% 0.70/0.87 FOF formula (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c X3) Y2)) Z)) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z)))) of role axiom named fact_151_inf__sup__aci_I6_J
% 0.70/0.87 A new axiom: (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c ((sup_sup_set_c X3) Y2)) Z)) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))))
% 0.70/0.87 FOF formula (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))) ((sup_sup_set_a Y2) ((sup_sup_set_a X3) Z)))) of role axiom named fact_152_inf__sup__aci_I7_J
% 0.70/0.87 A new axiom: (forall (X3:set_a) (Y2:set_a) (Z:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a Y2) Z))) ((sup_sup_set_a Y2) ((sup_sup_set_a X3) Z))))
% 0.70/0.87 FOF formula (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))) ((sup_sup_set_c Y2) ((sup_sup_set_c X3) Z)))) of role axiom named fact_153_inf__sup__aci_I7_J
% 0.70/0.87 A new axiom: (forall (X3:set_c) (Y2:set_c) (Z:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c Y2) Z))) ((sup_sup_set_c Y2) ((sup_sup_set_c X3) Z))))
% 0.70/0.87 FOF formula (forall (X3:set_a) (Y2:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a X3) Y2))) ((sup_sup_set_a X3) Y2))) of role axiom named fact_154_inf__sup__aci_I8_J
% 0.70/0.87 A new axiom: (forall (X3:set_a) (Y2:set_a), (((eq set_a) ((sup_sup_set_a X3) ((sup_sup_set_a X3) Y2))) ((sup_sup_set_a X3) Y2)))
% 0.70/0.87 FOF formula (forall (X3:set_c) (Y2:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c X3) Y2))) ((sup_sup_set_c X3) Y2))) of role axiom named fact_155_inf__sup__aci_I8_J
% 0.70/0.87 A new axiom: (forall (X3:set_c) (Y2:set_c), (((eq set_c) ((sup_sup_set_c X3) ((sup_sup_set_c X3) Y2))) ((sup_sup_set_c X3) Y2)))
% 0.70/0.87 FOF formula (forall (G:(c->b)) (F:(a->c)) (V:(c->a)), (((eq (c->b)) ((comp_c_b_c G) ((comp_a_c_c F) V))) ((comp_a_b_c ((comp_c_b_a G) F)) V))) of role axiom named fact_156_fun_Omap__comp
% 0.70/0.87 A new axiom: (forall (G:(c->b)) (F:(a->c)) (V:(c->a)), (((eq (c->b)) ((comp_c_b_c G) ((comp_a_c_c F) V))) ((comp_a_b_c ((comp_c_b_a G) F)) V)))
% 0.70/0.87 FOF formula (forall (G:(b->b)) (F:(a->b)) (V:(c->a)), (((eq (c->b)) ((comp_b_b_c G) ((comp_a_b_c F) V))) ((comp_a_b_c ((comp_b_b_a G) F)) V))) of role axiom named fact_157_fun_Omap__comp
% 0.70/0.87 A new axiom: (forall (G:(b->b)) (F:(a->b)) (V:(c->a)), (((eq (c->b)) ((comp_b_b_c G) ((comp_a_b_c F) V))) ((comp_a_b_c ((comp_b_b_a G) F)) V)))
% 0.70/0.87 FOF formula (forall (G:(a->b)) (F:(c->a)) (V:(c->c)), (((eq (c->b)) ((comp_a_b_c G) ((comp_c_a_c F) V))) ((comp_c_b_c ((comp_a_b_c G) F)) V))) of role axiom named fact_158_fun_Omap__comp
% 0.70/0.87 A new axiom: (forall (G:(a->b)) (F:(c->a)) (V:(c->c)), (((eq (c->b)) ((comp_a_b_c G) ((comp_c_a_c F) V))) ((comp_c_b_c ((comp_a_b_c G) F)) V)))
% 0.70/0.87 FOF formula (forall (G:(a->b)) (F:(a->a)) (V:(c->a)), (((eq (c->b)) ((comp_a_b_c G) ((comp_a_a_c F) V))) ((comp_a_b_c ((comp_a_b_a G) F)) V))) of role axiom named fact_159_fun_Omap__comp
% 0.70/0.87 A new axiom: (forall (G:(a->b)) (F:(a->a)) (V:(c->a)), (((eq (c->b)) ((comp_a_b_c G) ((comp_a_a_c F) V))) ((comp_a_b_c ((comp_a_b_a G) F)) V)))
% 0.70/0.87 FOF formula (forall (G:(c->b)) (F:(c->c)) (V:(a->c)), (((eq (a->b)) ((comp_c_b_a G) ((comp_c_c_a F) V))) ((comp_c_b_a ((comp_c_b_c G) F)) V))) of role axiom named fact_160_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(c->b)) (F:(c->c)) (V:(a->c)), (((eq (a->b)) ((comp_c_b_a G) ((comp_c_c_a F) V))) ((comp_c_b_a ((comp_c_b_c G) F)) V)))
% 0.73/0.89 FOF formula (forall (G:(c->b)) (F:(a->c)) (V:(a->a)), (((eq (a->b)) ((comp_c_b_a G) ((comp_a_c_a F) V))) ((comp_a_b_a ((comp_c_b_a G) F)) V))) of role axiom named fact_161_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(c->b)) (F:(a->c)) (V:(a->a)), (((eq (a->b)) ((comp_c_b_a G) ((comp_a_c_a F) V))) ((comp_a_b_a ((comp_c_b_a G) F)) V)))
% 0.73/0.89 FOF formula (forall (G:(c->b)) (F:(b->c)) (V:(a->b)), (((eq (a->b)) ((comp_c_b_a G) ((comp_b_c_a F) V))) ((comp_b_b_a ((comp_c_b_b G) F)) V))) of role axiom named fact_162_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(c->b)) (F:(b->c)) (V:(a->b)), (((eq (a->b)) ((comp_c_b_a G) ((comp_b_c_a F) V))) ((comp_b_b_a ((comp_c_b_b G) F)) V)))
% 0.73/0.89 FOF formula (forall (G:(a->b)) (F:(c->a)) (V:(a->c)), (((eq (a->b)) ((comp_a_b_a G) ((comp_c_a_a F) V))) ((comp_c_b_a ((comp_a_b_c G) F)) V))) of role axiom named fact_163_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(a->b)) (F:(c->a)) (V:(a->c)), (((eq (a->b)) ((comp_a_b_a G) ((comp_c_a_a F) V))) ((comp_c_b_a ((comp_a_b_c G) F)) V)))
% 0.73/0.89 FOF formula (forall (G:(a->b)) (F:(a->a)) (V:(a->a)), (((eq (a->b)) ((comp_a_b_a G) ((comp_a_a_a F) V))) ((comp_a_b_a ((comp_a_b_a G) F)) V))) of role axiom named fact_164_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(a->b)) (F:(a->a)) (V:(a->a)), (((eq (a->b)) ((comp_a_b_a G) ((comp_a_a_a F) V))) ((comp_a_b_a ((comp_a_b_a G) F)) V)))
% 0.73/0.89 FOF formula (forall (G:(a->b)) (F:(b->a)) (V:(a->b)), (((eq (a->b)) ((comp_a_b_a G) ((comp_b_a_a F) V))) ((comp_b_b_a ((comp_a_b_b G) F)) V))) of role axiom named fact_165_fun_Omap__comp
% 0.73/0.89 A new axiom: (forall (G:(a->b)) (F:(b->a)) (V:(a->b)), (((eq (a->b)) ((comp_a_b_a G) ((comp_b_a_a F) V))) ((comp_b_b_a ((comp_a_b_b G) F)) V)))
% 0.73/0.89 FOF formula (forall (A2:(a->b)) (B2:(c->a)) (C:(c->b)) (V:c), ((((eq (c->b)) ((comp_a_b_c A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V)))) of role axiom named fact_166_comp__eq__dest__lhs
% 0.73/0.89 A new axiom: (forall (A2:(a->b)) (B2:(c->a)) (C:(c->b)) (V:c), ((((eq (c->b)) ((comp_a_b_c A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V))))
% 0.73/0.89 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V)))) of role axiom named fact_167_comp__eq__dest__lhs
% 0.73/0.89 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V))))
% 0.73/0.89 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V)))) of role axiom named fact_168_comp__eq__dest__lhs
% 0.73/0.89 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V))))
% 0.73/0.89 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V)))) of role axiom named fact_169_comp__eq__dest__lhs
% 0.73/0.89 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) C)->(((eq b) (A2 (B2 V))) (C V))))
% 0.73/0.89 FOF formula (forall (A2:(a->b)) (B2:(c->a)) (C:(a->b)) (D:(c->a)), ((((eq (c->b)) ((comp_a_b_c A2) B2)) ((comp_a_b_c C) D))->(forall (V2:c), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_170_comp__eq__elim
% 0.73/0.89 A new axiom: (forall (A2:(a->b)) (B2:(c->a)) (C:(a->b)) (D:(c->a)), ((((eq (c->b)) ((comp_a_b_c A2) B2)) ((comp_a_b_c C) D))->(forall (V2:c), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.89 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_171_comp__eq__elim
% 0.73/0.89 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.89 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_172_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_173_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_174_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_175_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_176_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_177_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(c->b)) (D:(a->c)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_c_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_178_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (D:(a->a)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_a_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2)))))) of role axiom named fact_179_comp__eq__elim
% 0.73/0.90 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(b->b)) (D:(a->b)), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_b_b_a C) D))->(forall (V2:a), (((eq b) (A2 (B2 V2))) (C (D V2))))))
% 0.73/0.90 FOF formula (forall (A2:(a->b)) (B2:(c->a)) (C:(a->b)) (D:(c->a)) (V:c), ((((eq (c->b)) ((comp_a_b_c A2) B2)) ((comp_a_b_c C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_180_comp__eq__dest
% 0.73/0.90 A new axiom: (forall (A2:(a->b)) (B2:(c->a)) (C:(a->b)) (D:(c->a)) (V:c), ((((eq (c->b)) ((comp_a_b_c A2) B2)) ((comp_a_b_c C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.90 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_181_comp__eq__dest
% 0.73/0.90 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.90 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_182_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(c->b)) (B2:(a->c)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_183_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(c->b)) (B2:(a->c)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_c_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_184_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_185_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(a->b)) (B2:(a->a)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_186_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(a->b)) (B2:(a->a)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_a_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_187_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(c->b)) (D:(a->c)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_c_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_188_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(a->b)) (D:(a->a)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_a_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (A2:(b->b)) (B2:(a->b)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V))))) of role axiom named fact_189_comp__eq__dest
% 0.73/0.92 A new axiom: (forall (A2:(b->b)) (B2:(a->b)) (C:(b->b)) (D:(a->b)) (V:a), ((((eq (a->b)) ((comp_b_b_a A2) B2)) ((comp_b_b_a C) D))->(((eq b) (A2 (B2 V))) (C (D V)))))
% 0.73/0.92 FOF formula (forall (F:(a->b)) (G:(c->a)) (H:(c->c)), (((eq (c->b)) ((comp_c_b_c ((comp_a_b_c F) G)) H)) ((comp_a_b_c F) ((comp_c_a_c G) H)))) of role axiom named fact_190_comp__assoc
% 0.73/0.92 A new axiom: (forall (F:(a->b)) (G:(c->a)) (H:(c->c)), (((eq (c->b)) ((comp_c_b_c ((comp_a_b_c F) G)) H)) ((comp_a_b_c F) ((comp_c_a_c G) H))))
% 0.73/0.92 FOF formula (forall (F:(c->b)) (G:(a->c)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_c_b_a F) G)) H)) ((comp_c_b_c F) ((comp_a_c_c G) H)))) of role axiom named fact_191_comp__assoc
% 0.73/0.92 A new axiom: (forall (F:(c->b)) (G:(a->c)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_c_b_a F) G)) H)) ((comp_c_b_c F) ((comp_a_c_c G) H))))
% 0.73/0.92 FOF formula (forall (F:(a->b)) (G:(a->a)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_a_b_a F) G)) H)) ((comp_a_b_c F) ((comp_a_a_c G) H)))) of role axiom named fact_192_comp__assoc
% 0.73/0.92 A new axiom: (forall (F:(a->b)) (G:(a->a)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_a_b_a F) G)) H)) ((comp_a_b_c F) ((comp_a_a_c G) H))))
% 0.73/0.92 FOF formula (forall (F:(b->b)) (G:(a->b)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_b_b_a F) G)) H)) ((comp_b_b_c F) ((comp_a_b_c G) H)))) of role axiom named fact_193_comp__assoc
% 0.73/0.92 A new axiom: (forall (F:(b->b)) (G:(a->b)) (H:(c->a)), (((eq (c->b)) ((comp_a_b_c ((comp_b_b_a F) G)) H)) ((comp_b_b_c F) ((comp_a_b_c G) H))))
% 0.73/0.93 FOF formula (forall (F:(c->b)) (G:(c->c)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_c_b_c F) G)) H)) ((comp_c_b_a F) ((comp_c_c_a G) H)))) of role axiom named fact_194_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(c->b)) (G:(c->c)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_c_b_c F) G)) H)) ((comp_c_b_a F) ((comp_c_c_a G) H))))
% 0.73/0.93 FOF formula (forall (F:(b->b)) (G:(c->b)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_b_b_c F) G)) H)) ((comp_b_b_a F) ((comp_c_b_a G) H)))) of role axiom named fact_195_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(b->b)) (G:(c->b)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_b_b_c F) G)) H)) ((comp_b_b_a F) ((comp_c_b_a G) H))))
% 0.73/0.93 FOF formula (forall (F:(a->b)) (G:(c->a)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_a_b_c F) G)) H)) ((comp_a_b_a F) ((comp_c_a_a G) H)))) of role axiom named fact_196_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(a->b)) (G:(c->a)) (H:(a->c)), (((eq (a->b)) ((comp_c_b_a ((comp_a_b_c F) G)) H)) ((comp_a_b_a F) ((comp_c_a_a G) H))))
% 0.73/0.93 FOF formula (forall (F:(c->b)) (G:(a->c)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_c_b_a F) G)) H)) ((comp_c_b_a F) ((comp_a_c_a G) H)))) of role axiom named fact_197_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(c->b)) (G:(a->c)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_c_b_a F) G)) H)) ((comp_c_b_a F) ((comp_a_c_a G) H))))
% 0.73/0.93 FOF formula (forall (F:(a->b)) (G:(a->a)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_a_b_a F) G)) H)) ((comp_a_b_a F) ((comp_a_a_a G) H)))) of role axiom named fact_198_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(a->b)) (G:(a->a)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_a_b_a F) G)) H)) ((comp_a_b_a F) ((comp_a_a_a G) H))))
% 0.73/0.93 FOF formula (forall (F:(b->b)) (G:(a->b)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_b_b_a F) G)) H)) ((comp_b_b_a F) ((comp_a_b_a G) H)))) of role axiom named fact_199_comp__assoc
% 0.73/0.93 A new axiom: (forall (F:(b->b)) (G:(a->b)) (H:(a->a)), (((eq (a->b)) ((comp_a_b_a ((comp_b_b_a F) G)) H)) ((comp_b_b_a F) ((comp_a_b_a G) H))))
% 0.73/0.93 FOF formula (((eq ((a->b)->((c->a)->(c->b)))) comp_a_b_c) (fun (F3:(a->b)) (G2:(c->a)) (X2:c)=> (F3 (G2 X2)))) of role axiom named fact_200_comp__def
% 0.73/0.93 A new axiom: (((eq ((a->b)->((c->a)->(c->b)))) comp_a_b_c) (fun (F3:(a->b)) (G2:(c->a)) (X2:c)=> (F3 (G2 X2))))
% 0.73/0.93 FOF formula (((eq ((c->b)->((a->c)->(a->b)))) comp_c_b_a) (fun (F3:(c->b)) (G2:(a->c)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_201_comp__def
% 0.73/0.93 A new axiom: (((eq ((c->b)->((a->c)->(a->b)))) comp_c_b_a) (fun (F3:(c->b)) (G2:(a->c)) (X2:a)=> (F3 (G2 X2))))
% 0.73/0.93 FOF formula (((eq ((a->b)->((a->a)->(a->b)))) comp_a_b_a) (fun (F3:(a->b)) (G2:(a->a)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_202_comp__def
% 0.73/0.93 A new axiom: (((eq ((a->b)->((a->a)->(a->b)))) comp_a_b_a) (fun (F3:(a->b)) (G2:(a->a)) (X2:a)=> (F3 (G2 X2))))
% 0.73/0.93 FOF formula (((eq ((b->b)->((a->b)->(a->b)))) comp_b_b_a) (fun (F3:(b->b)) (G2:(a->b)) (X2:a)=> (F3 (G2 X2)))) of role axiom named fact_203_comp__def
% 0.73/0.93 A new axiom: (((eq ((b->b)->((a->b)->(a->b)))) comp_b_b_a) (fun (F3:(b->b)) (G2:(a->b)) (X2:a)=> (F3 (G2 X2))))
% 0.73/0.93 FOF formula (forall (A:set_c) (G:(b->c)) (F:(c->b)), ((forall (X:c), (((member_c X) A)->(((eq c) (G (F X))) X)))->((inj_on_c_b F) A))) of role axiom named fact_204_inj__on__inverseI
% 0.73/0.93 A new axiom: (forall (A:set_c) (G:(b->c)) (F:(c->b)), ((forall (X:c), (((member_c X) A)->(((eq c) (G (F X))) X)))->((inj_on_c_b F) A)))
% 0.73/0.93 FOF formula (forall (A:set_c) (G:(a->c)) (F:(c->a)), ((forall (X:c), (((member_c X) A)->(((eq c) (G (F X))) X)))->((inj_on_c_a F) A))) of role axiom named fact_205_inj__on__inverseI
% 0.73/0.93 A new axiom: (forall (A:set_c) (G:(a->c)) (F:(c->a)), ((forall (X:c), (((member_c X) A)->(((eq c) (G (F X))) X)))->((inj_on_c_a F) A)))
% 0.73/0.93 FOF formula (forall (A:set_b) (G:(b->b)) (F:(b->b)), ((forall (X:b), (((member_b X) A)->(((eq b) (G (F X))) X)))->((inj_on_b_b F) A))) of role axiom named fact_206_inj__on__inverseI
% 0.73/0.93 A new axiom: (forall (A:set_b) (G:(b->b)) (F:(b->b)), ((forall (X:b), (((member_b X) A)->(((eq b) (G (F X))) X)))->((inj_on_b_b F) A)))
% 0.73/0.93 FOF formula (forall (A:set_a) (G:(b->a)) (F:(a->b)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_b F) A))) of role axiom named fact_207_inj__on__inverseI
% 0.79/0.94 A new axiom: (forall (A:set_a) (G:(b->a)) (F:(a->b)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_b F) A)))
% 0.79/0.94 FOF formula (forall (A:set_a) (G:(c->a)) (F:(a->c)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_c F) A))) of role axiom named fact_208_inj__on__inverseI
% 0.79/0.94 A new axiom: (forall (A:set_a) (G:(c->a)) (F:(a->c)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_c F) A)))
% 0.79/0.94 FOF formula (forall (A:set_a) (G:(a->a)) (F:(a->a)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_a F) A))) of role axiom named fact_209_inj__on__inverseI
% 0.79/0.94 A new axiom: (forall (A:set_a) (G:(a->a)) (F:(a->a)), ((forall (X:a), (((member_a X) A)->(((eq a) (G (F X))) X)))->((inj_on_a_a F) A)))
% 0.79/0.94 FOF formula (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->((not (((eq c) X3) Y2))->(((member_c X3) A)->(((member_c Y2) A)->(not (((eq b) (F X3)) (F Y2)))))))) of role axiom named fact_210_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->((not (((eq c) X3) Y2))->(((member_c X3) A)->(((member_c Y2) A)->(not (((eq b) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->((not (((eq c) X3) Y2))->(((member_c X3) A)->(((member_c Y2) A)->(not (((eq a) (F X3)) (F Y2)))))))) of role axiom named fact_211_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->((not (((eq c) X3) Y2))->(((member_c X3) A)->(((member_c Y2) A)->(not (((eq a) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->((not (((eq b) X3) Y2))->(((member_b X3) A)->(((member_b Y2) A)->(not (((eq b) (F X3)) (F Y2)))))))) of role axiom named fact_212_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->((not (((eq b) X3) Y2))->(((member_b X3) A)->(((member_b Y2) A)->(not (((eq b) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq b) (F X3)) (F Y2)))))))) of role axiom named fact_213_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq b) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq c) (F X3)) (F Y2)))))))) of role axiom named fact_214_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq c) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq a) (F X3)) (F Y2)))))))) of role axiom named fact_215_inj__on__contraD
% 0.79/0.94 A new axiom: (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->((not (((eq a) X3) Y2))->(((member_a X3) A)->(((member_a Y2) A)->(not (((eq a) (F X3)) (F Y2))))))))
% 0.79/0.94 FOF formula (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2))) of role axiom named fact_216_mem__Collect__eq
% 0.79/0.94 A new axiom: (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2)))
% 0.79/0.94 FOF formula (forall (A:set_a), (((eq set_a) (collect_a (fun (X2:a)=> ((member_a X2) A)))) A)) of role axiom named fact_217_Collect__mem__eq
% 0.79/0.94 A new axiom: (forall (A:set_a), (((eq set_a) (collect_a (fun (X2:a)=> ((member_a X2) A)))) A))
% 0.79/0.94 FOF formula (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->(((member_c X3) A)->(((member_c Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq c) X3) Y2)))))) of role axiom named fact_218_inj__on__eq__iff
% 0.79/0.94 A new axiom: (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->(((member_c X3) A)->(((member_c Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq c) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->(((member_c X3) A)->(((member_c Y2) A)->(((eq Prop) (((eq a) (F X3)) (F Y2))) (((eq c) X3) Y2)))))) of role axiom named fact_219_inj__on__eq__iff
% 0.79/0.96 A new axiom: (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->(((member_c X3) A)->(((member_c Y2) A)->(((eq Prop) (((eq a) (F X3)) (F Y2))) (((eq c) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->(((member_b X3) A)->(((member_b Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq b) X3) Y2)))))) of role axiom named fact_220_inj__on__eq__iff
% 0.79/0.96 A new axiom: (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->(((member_b X3) A)->(((member_b Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq b) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq a) X3) Y2)))))) of role axiom named fact_221_inj__on__eq__iff
% 0.79/0.96 A new axiom: (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq b) (F X3)) (F Y2))) (((eq a) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq c) (F X3)) (F Y2))) (((eq a) X3) Y2)))))) of role axiom named fact_222_inj__on__eq__iff
% 0.79/0.96 A new axiom: (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq c) (F X3)) (F Y2))) (((eq a) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq a) (F X3)) (F Y2))) (((eq a) X3) Y2)))))) of role axiom named fact_223_inj__on__eq__iff
% 0.79/0.96 A new axiom: (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->(((member_a X3) A)->(((member_a Y2) A)->(((eq Prop) (((eq a) (F X3)) (F Y2))) (((eq a) X3) Y2))))))
% 0.79/0.96 FOF formula (forall (A:set_c) (F:(c->b)) (G:(c->b)), ((forall (A4:c), (((member_c A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_c_b F) A)) ((inj_on_c_b G) A)))) of role axiom named fact_224_inj__on__cong
% 0.79/0.96 A new axiom: (forall (A:set_c) (F:(c->b)) (G:(c->b)), ((forall (A4:c), (((member_c A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_c_b F) A)) ((inj_on_c_b G) A))))
% 0.79/0.96 FOF formula (forall (A:set_c) (F:(c->a)) (G:(c->a)), ((forall (A4:c), (((member_c A4) A)->(((eq a) (F A4)) (G A4))))->(((eq Prop) ((inj_on_c_a F) A)) ((inj_on_c_a G) A)))) of role axiom named fact_225_inj__on__cong
% 0.79/0.96 A new axiom: (forall (A:set_c) (F:(c->a)) (G:(c->a)), ((forall (A4:c), (((member_c A4) A)->(((eq a) (F A4)) (G A4))))->(((eq Prop) ((inj_on_c_a F) A)) ((inj_on_c_a G) A))))
% 0.79/0.96 FOF formula (forall (A:set_b) (F:(b->b)) (G:(b->b)), ((forall (A4:b), (((member_b A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_b_b F) A)) ((inj_on_b_b G) A)))) of role axiom named fact_226_inj__on__cong
% 0.79/0.96 A new axiom: (forall (A:set_b) (F:(b->b)) (G:(b->b)), ((forall (A4:b), (((member_b A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_b_b F) A)) ((inj_on_b_b G) A))))
% 0.79/0.96 FOF formula (forall (A:set_a) (F:(a->b)) (G:(a->b)), ((forall (A4:a), (((member_a A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_b F) A)) ((inj_on_a_b G) A)))) of role axiom named fact_227_inj__on__cong
% 0.79/0.96 A new axiom: (forall (A:set_a) (F:(a->b)) (G:(a->b)), ((forall (A4:a), (((member_a A4) A)->(((eq b) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_b F) A)) ((inj_on_a_b G) A))))
% 0.79/0.96 FOF formula (forall (A:set_a) (F:(a->c)) (G:(a->c)), ((forall (A4:a), (((member_a A4) A)->(((eq c) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_c F) A)) ((inj_on_a_c G) A)))) of role axiom named fact_228_inj__on__cong
% 0.79/0.96 A new axiom: (forall (A:set_a) (F:(a->c)) (G:(a->c)), ((forall (A4:a), (((member_a A4) A)->(((eq c) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_c F) A)) ((inj_on_a_c G) A))))
% 0.79/0.96 FOF formula (forall (A:set_a) (F:(a->a)) (G:(a->a)), ((forall (A4:a), (((member_a A4) A)->(((eq a) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_a F) A)) ((inj_on_a_a G) A)))) of role axiom named fact_229_inj__on__cong
% 0.79/0.97 A new axiom: (forall (A:set_a) (F:(a->a)) (G:(a->a)), ((forall (A4:a), (((member_a A4) A)->(((eq a) (F A4)) (G A4))))->(((eq Prop) ((inj_on_a_a F) A)) ((inj_on_a_a G) A))))
% 0.79/0.97 FOF formula (((eq ((a->b)->(set_a->Prop))) inj_on_a_b) (fun (F3:(a->b)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq a) X2) Y)))))))) of role axiom named fact_230_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((a->b)->(set_a->Prop))) inj_on_a_b) (fun (F3:(a->b)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq a) X2) Y))))))))
% 0.79/0.97 FOF formula (((eq ((c->b)->(set_c->Prop))) inj_on_c_b) (fun (F3:(c->b)) (A5:set_c)=> (forall (X2:c), (((member_c X2) A5)->(forall (Y:c), (((member_c Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq c) X2) Y)))))))) of role axiom named fact_231_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((c->b)->(set_c->Prop))) inj_on_c_b) (fun (F3:(c->b)) (A5:set_c)=> (forall (X2:c), (((member_c X2) A5)->(forall (Y:c), (((member_c Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq c) X2) Y))))))))
% 0.79/0.97 FOF formula (((eq ((c->a)->(set_c->Prop))) inj_on_c_a) (fun (F3:(c->a)) (A5:set_c)=> (forall (X2:c), (((member_c X2) A5)->(forall (Y:c), (((member_c Y) A5)->((((eq a) (F3 X2)) (F3 Y))->(((eq c) X2) Y)))))))) of role axiom named fact_232_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((c->a)->(set_c->Prop))) inj_on_c_a) (fun (F3:(c->a)) (A5:set_c)=> (forall (X2:c), (((member_c X2) A5)->(forall (Y:c), (((member_c Y) A5)->((((eq a) (F3 X2)) (F3 Y))->(((eq c) X2) Y))))))))
% 0.79/0.97 FOF formula (((eq ((b->b)->(set_b->Prop))) inj_on_b_b) (fun (F3:(b->b)) (A5:set_b)=> (forall (X2:b), (((member_b X2) A5)->(forall (Y:b), (((member_b Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq b) X2) Y)))))))) of role axiom named fact_233_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((b->b)->(set_b->Prop))) inj_on_b_b) (fun (F3:(b->b)) (A5:set_b)=> (forall (X2:b), (((member_b X2) A5)->(forall (Y:b), (((member_b Y) A5)->((((eq b) (F3 X2)) (F3 Y))->(((eq b) X2) Y))))))))
% 0.79/0.97 FOF formula (((eq ((a->c)->(set_a->Prop))) inj_on_a_c) (fun (F3:(a->c)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq c) (F3 X2)) (F3 Y))->(((eq a) X2) Y)))))))) of role axiom named fact_234_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((a->c)->(set_a->Prop))) inj_on_a_c) (fun (F3:(a->c)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq c) (F3 X2)) (F3 Y))->(((eq a) X2) Y))))))))
% 0.79/0.97 FOF formula (((eq ((a->a)->(set_a->Prop))) inj_on_a_a) (fun (F3:(a->a)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq a) (F3 X2)) (F3 Y))->(((eq a) X2) Y)))))))) of role axiom named fact_235_inj__on__def
% 0.79/0.97 A new axiom: (((eq ((a->a)->(set_a->Prop))) inj_on_a_a) (fun (F3:(a->a)) (A5:set_a)=> (forall (X2:a), (((member_a X2) A5)->(forall (Y:a), (((member_a Y) A5)->((((eq a) (F3 X2)) (F3 Y))->(((eq a) X2) Y))))))))
% 0.79/0.97 FOF formula (forall (A:set_c) (F:(c->b)), ((forall (X:c) (Y3:c), (((member_c X) A)->(((member_c Y3) A)->((((eq b) (F X)) (F Y3))->(((eq c) X) Y3)))))->((inj_on_c_b F) A))) of role axiom named fact_236_inj__onI
% 0.79/0.97 A new axiom: (forall (A:set_c) (F:(c->b)), ((forall (X:c) (Y3:c), (((member_c X) A)->(((member_c Y3) A)->((((eq b) (F X)) (F Y3))->(((eq c) X) Y3)))))->((inj_on_c_b F) A)))
% 0.79/0.97 FOF formula (forall (A:set_c) (F:(c->a)), ((forall (X:c) (Y3:c), (((member_c X) A)->(((member_c Y3) A)->((((eq a) (F X)) (F Y3))->(((eq c) X) Y3)))))->((inj_on_c_a F) A))) of role axiom named fact_237_inj__onI
% 0.79/0.97 A new axiom: (forall (A:set_c) (F:(c->a)), ((forall (X:c) (Y3:c), (((member_c X) A)->(((member_c Y3) A)->((((eq a) (F X)) (F Y3))->(((eq c) X) Y3)))))->((inj_on_c_a F) A)))
% 0.79/0.97 FOF formula (forall (A:set_b) (F:(b->b)), ((forall (X:b) (Y3:b), (((member_b X) A)->(((member_b Y3) A)->((((eq b) (F X)) (F Y3))->(((eq b) X) Y3)))))->((inj_on_b_b F) A))) of role axiom named fact_238_inj__onI
% 0.79/0.97 A new axiom: (forall (A:set_b) (F:(b->b)), ((forall (X:b) (Y3:b), (((member_b X) A)->(((member_b Y3) A)->((((eq b) (F X)) (F Y3))->(((eq b) X) Y3)))))->((inj_on_b_b F) A)))
% 0.79/0.99 FOF formula (forall (A:set_a) (F:(a->b)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq b) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_b F) A))) of role axiom named fact_239_inj__onI
% 0.79/0.99 A new axiom: (forall (A:set_a) (F:(a->b)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq b) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_b F) A)))
% 0.79/0.99 FOF formula (forall (A:set_a) (F:(a->c)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq c) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_c F) A))) of role axiom named fact_240_inj__onI
% 0.79/0.99 A new axiom: (forall (A:set_a) (F:(a->c)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq c) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_c F) A)))
% 0.79/0.99 FOF formula (forall (A:set_a) (F:(a->a)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq a) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_a F) A))) of role axiom named fact_241_inj__onI
% 0.79/0.99 A new axiom: (forall (A:set_a) (F:(a->a)), ((forall (X:a) (Y3:a), (((member_a X) A)->(((member_a Y3) A)->((((eq a) (F X)) (F Y3))->(((eq a) X) Y3)))))->((inj_on_a_a F) A)))
% 0.79/0.99 FOF formula (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_c X3) A)->(((member_c Y2) A)->(((eq c) X3) Y2)))))) of role axiom named fact_242_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(c->b)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_c X3) A)->(((member_c Y2) A)->(((eq c) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->((((eq a) (F X3)) (F Y2))->(((member_c X3) A)->(((member_c Y2) A)->(((eq c) X3) Y2)))))) of role axiom named fact_243_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(c->a)) (A:set_c) (X3:c) (Y2:c), (((inj_on_c_a F) A)->((((eq a) (F X3)) (F Y2))->(((member_c X3) A)->(((member_c Y2) A)->(((eq c) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_b X3) A)->(((member_b Y2) A)->(((eq b) X3) Y2)))))) of role axiom named fact_244_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(b->b)) (A:set_b) (X3:b) (Y2:b), (((inj_on_b_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_b X3) A)->(((member_b Y2) A)->(((eq b) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2)))))) of role axiom named fact_245_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(a->b)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_b F) A)->((((eq b) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->((((eq c) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2)))))) of role axiom named fact_246_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(a->c)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_c F) A)->((((eq c) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->((((eq a) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2)))))) of role axiom named fact_247_inj__onD
% 0.79/0.99 A new axiom: (forall (F:(a->a)) (A:set_a) (X3:a) (Y2:a), (((inj_on_a_a F) A)->((((eq a) (F X3)) (F Y2))->(((member_a X3) A)->(((member_a Y2) A)->(((eq a) X3) Y2))))))
% 0.79/0.99 FOF formula (forall (F:(c->c)), (((eq Prop) (((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)) (forall (Y:c), ((ex c) (fun (X2:c)=> (((eq c) Y) (F X2))))))) of role axiom named fact_248_surj__def
% 0.79/0.99 A new axiom: (forall (F:(c->c)), (((eq Prop) (((eq set_c) ((image_c_c F) top_top_set_c)) top_top_set_c)) (forall (Y:c), ((ex c) (fun (X2:c)=> (((eq c) Y) (F X2)))))))
% 0.79/0.99 FOF formula (forall (F:(c->a)), (((eq Prop) (((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)) (forall (Y:a), ((ex c) (fun (X2:c)=> (((eq a) Y) (F X2))))))) of role axiom named fact_249_surj__def
% 0.79/0.99 A new axiom: (forall (F:(c->a)), (((eq Prop) (((eq set_a) ((image_c_a F) top_top_set_c)) top_top_set_a)) (forall (Y:a), ((ex c) (fun (X2:c)=> (((eq a) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(c->b)), (((eq Prop) (((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)) (forall (Y:b), ((ex c) (fun (X2:c)=> (((eq b) Y) (F X2))))))) of role axiom named fact_250_surj__def
% 0.79/1.00 A new axiom: (forall (F:(c->b)), (((eq Prop) (((eq set_b) ((image_c_b F) top_top_set_c)) top_top_set_b)) (forall (Y:b), ((ex c) (fun (X2:c)=> (((eq b) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(a->c)), (((eq Prop) (((eq set_c) ((image_a_c F) top_top_set_a)) top_top_set_c)) (forall (Y:c), ((ex a) (fun (X2:a)=> (((eq c) Y) (F X2))))))) of role axiom named fact_251_surj__def
% 0.79/1.00 A new axiom: (forall (F:(a->c)), (((eq Prop) (((eq set_c) ((image_a_c F) top_top_set_a)) top_top_set_c)) (forall (Y:c), ((ex a) (fun (X2:a)=> (((eq c) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(a->a)), (((eq Prop) (((eq set_a) ((image_a_a F) top_top_set_a)) top_top_set_a)) (forall (Y:a), ((ex a) (fun (X2:a)=> (((eq a) Y) (F X2))))))) of role axiom named fact_252_surj__def
% 0.79/1.00 A new axiom: (forall (F:(a->a)), (((eq Prop) (((eq set_a) ((image_a_a F) top_top_set_a)) top_top_set_a)) (forall (Y:a), ((ex a) (fun (X2:a)=> (((eq a) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(a->b)), (((eq Prop) (((eq set_b) ((image_a_b F) top_top_set_a)) top_top_set_b)) (forall (Y:b), ((ex a) (fun (X2:a)=> (((eq b) Y) (F X2))))))) of role axiom named fact_253_surj__def
% 0.79/1.00 A new axiom: (forall (F:(a->b)), (((eq Prop) (((eq set_b) ((image_a_b F) top_top_set_a)) top_top_set_b)) (forall (Y:b), ((ex a) (fun (X2:a)=> (((eq b) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(b->c)), (((eq Prop) (((eq set_c) ((image_b_c F) top_top_set_b)) top_top_set_c)) (forall (Y:c), ((ex b) (fun (X2:b)=> (((eq c) Y) (F X2))))))) of role axiom named fact_254_surj__def
% 0.79/1.00 A new axiom: (forall (F:(b->c)), (((eq Prop) (((eq set_c) ((image_b_c F) top_top_set_b)) top_top_set_c)) (forall (Y:c), ((ex b) (fun (X2:b)=> (((eq c) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(b->a)), (((eq Prop) (((eq set_a) ((image_b_a F) top_top_set_b)) top_top_set_a)) (forall (Y:a), ((ex b) (fun (X2:b)=> (((eq a) Y) (F X2))))))) of role axiom named fact_255_surj__def
% 0.79/1.00 A new axiom: (forall (F:(b->a)), (((eq Prop) (((eq set_a) ((image_b_a F) top_top_set_b)) top_top_set_a)) (forall (Y:a), ((ex b) (fun (X2:b)=> (((eq a) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(b->b)), (((eq Prop) (((eq set_b) ((image_b_b F) top_top_set_b)) top_top_set_b)) (forall (Y:b), ((ex b) (fun (X2:b)=> (((eq b) Y) (F X2))))))) of role axiom named fact_256_surj__def
% 0.79/1.00 A new axiom: (forall (F:(b->b)), (((eq Prop) (((eq set_b) ((image_b_b F) top_top_set_b)) top_top_set_b)) (forall (Y:b), ((ex b) (fun (X2:b)=> (((eq b) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (F:(c->(c->a))), (((eq Prop) (((eq set_c_a) ((image_c_c_a F) top_top_set_c)) top_top_set_c_a)) (forall (Y:(c->a)), ((ex c) (fun (X2:c)=> (((eq (c->a)) Y) (F X2))))))) of role axiom named fact_257_surj__def
% 0.79/1.00 A new axiom: (forall (F:(c->(c->a))), (((eq Prop) (((eq set_c_a) ((image_c_c_a F) top_top_set_c)) top_top_set_c_a)) (forall (Y:(c->a)), ((ex c) (fun (X2:c)=> (((eq (c->a)) Y) (F X2)))))))
% 0.79/1.00 FOF formula (forall (G:(c->c)) (F:(c->c)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c))) of role axiom named fact_258_surjI
% 0.79/1.00 A new axiom: (forall (G:(c->c)) (F:(c->c)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_c_c G) top_top_set_c)) top_top_set_c)))
% 0.79/1.00 FOF formula (forall (G:(c->a)) (F:(a->c)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_c_a G) top_top_set_c)) top_top_set_a))) of role axiom named fact_259_surjI
% 0.79/1.00 A new axiom: (forall (G:(c->a)) (F:(a->c)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_c_a G) top_top_set_c)) top_top_set_a)))
% 0.79/1.00 FOF formula (forall (G:(c->b)) (F:(b->c)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_c_b G) top_top_set_c)) top_top_set_b))) of role axiom named fact_260_surjI
% 0.79/1.00 A new axiom: (forall (G:(c->b)) (F:(b->c)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_c_b G) top_top_set_c)) top_top_set_b)))
% 0.79/1.00 FOF formula (forall (G:(a->c)) (F:(c->a)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_a_c G) top_top_set_a)) top_top_set_c))) of role axiom named fact_261_surjI
% 0.79/1.00 A new axiom: (forall (G:(a->c)) (F:(c->a)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_a_c G) top_top_set_a)) top_top_set_c)))
% 0.79/1.00 FOF formula (forall (G:(a->a)) (F:(a->a)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_a_a G) top_top_set_a)) top_top_set_a))) of role axiom named fact_262_surjI
% 0.79/1.00 A new axiom: (forall (G:(a->a)) (F:(a->a)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_a_a G) top_top_set_a)) top_top_set_a)))
% 0.79/1.00 FOF formula (forall (G:(a->b)) (F:(b->a)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_a_b G) top_top_set_a)) top_top_set_b))) of role axiom named fact_263_surjI
% 0.79/1.00 A new axiom: (forall (G:(a->b)) (F:(b->a)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_a_b G) top_top_set_a)) top_top_set_b)))
% 0.79/1.00 FOF formula (forall (G:(b->c)) (F:(c->b)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_b_c G) top_top_set_b)) top_top_set_c))) of role axiom named fact_264_surjI
% 0.79/1.00 A new axiom: (forall (G:(b->c)) (F:(c->b)), ((forall (X:c), (((eq c) (G (F X))) X))->(((eq set_c) ((image_b_c G) top_top_set_b)) top_top_set_c)))
% 0.79/1.00 FOF formula (forall (G:(b->a)) (F:(a->b)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_b_a G) top_top_set_b)) top_top_set_a))) of role axiom named fact_265_surjI
% 0.79/1.00 A new axiom: (forall (G:(b->a)) (F:(a->b)), ((forall (X:a), (((eq a) (G (F X))) X))->(((eq set_a) ((image_b_a G) top_top_set_b)) top_top_set_a)))
% 0.79/1.00 FOF formula (forall (G:(b->b)) (F:(b->b)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_b_b G) top_top_set_b)) top_top_set_b))) of role axiom named fact_266_surjI
% 0.79/1.00 A new axiom: (forall (G:(b->b)) (F:(b->b)), ((forall (X:b), (((eq b) (G (F X))) X))->(((eq set_b) ((image_b_b G) top_top_set_b)) top_top_set_b)))
% 0.79/1.00 FOF formula (forall (G:(c->(c->a))) (F:((c->a)->c)), ((forall (X:(c->a)), (((eq (c->a)) (G (F X))) X))->(((eq set_c_a) ((image_c_c_a G) top_top_set_c)) top_top_set_c_a))) of role axiom named fact_267_surjI
% 0.79/1.00 A new axiom: (forall (G:(c->(c->a))) (F:((c->a)->c)), ((forall (X:(c->a)), (((eq (c->a)) (G (F X))) X))->(((eq set_c_a) ((image_c_c_a G) top_top_set_c)) top_top_set_c_a)))
% 0.79/1.00 <<<Y2: c] :
% 0.79/1.00 ( ( ( image_c_c @ F @ top_top_set_c )
% 0.79/1.00 = top_top_set_c )
% 0.79/1.00 => ~ !>>>!!!<<< [X: c] :
% 0.79/1.00 ( Y2
% 0.79/1.00 != ( F @ X ) ) ) )).
% 0.79/1.00
% 0.79/1.00 % surjE
% 0.79/1.00 thf(fact_269_surjE,axi>>>
% 0.79/1.00 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.79/1.00 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,73663), LexToken(LPAR,'(',1,73666), name, LexToken(COMMA,',',1,73681), formula_role, LexToken(COMMA,',',1,73687), LexToken(LPAR,'(',1,73688), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,73696), thf_variable_list, LexToken(RBRACKET,']',1,73711), LexToken(COLON,':',1,73713), LexToken(LPAR,'(',1,73721), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.79/1.00 Unexpected exception Syntax error at '!':BANG
% 0.79/1.00 Traceback (most recent call last):
% 0.79/1.00 File "CASC.py", line 79, in <module>
% 0.79/1.00 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.79/1.00 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.79/1.00 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.79/1.00 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.79/1.00 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.79/1.00 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.79/1.00 tok = self.errorfunc(errtoken)
% 0.79/1.00 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.79/1.00 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.79/1.00 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------