TSTP Solution File: ITP115^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP115^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 13:24:13 EDT 2021
% Result : Unknown 0.61s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP115^1 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.13 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Mar 19 06:09:08 EDT 2021
% 0.14/0.34 % CPUTime :
% 0.14/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.14/0.35 Python 2.7.5
% 0.39/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053518>, <kernel.Type object at 0x2ab6280530e0>) of role type named ty_n_t__Set__Oset_Itf__b_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_b:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xd946c8>, <kernel.Type object at 0x2ab628053f38>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring set_a:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053050>, <kernel.Type object at 0x2ab628053200>) of role type named ty_n_tf__b
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring b:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab6280530e0>, <kernel.Type object at 0x2ab628053560>) of role type named ty_n_tf__a
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring a:Type
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053e60>, <kernel.DependentProduct object at 0x2ab6280530e0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_Itf__a_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_set_a:(set_a->(set_a->set_a))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053830>, <kernel.DependentProduct object at 0xd72b48>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_Itf__b_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring minus_minus_set_b:(set_b->(set_b->set_b))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xd72ea8>, <kernel.DependentProduct object at 0x2ab628053e60>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_Itf__a_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring inf_inf_set_a:(set_a->(set_a->set_a))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xd72cb0>, <kernel.DependentProduct object at 0x2ab628053d40>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_Itf__b_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring inf_inf_set_b:(set_b->(set_b->set_b))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xd72cb0>, <kernel.DependentProduct object at 0x2ab628053200>) of role type named sy_c_Lattices_Oinf__class_Oinf_001tf__b
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring inf_inf_b:(b->(b->b))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053e60>, <kernel.DependentProduct object at 0xd976c8>) of role type named sy_c_Lower__Semicontinuous__Mirabelle__mxyexokbxt_Olsc__at_001tf__a_001tf__b
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring lower_464587817at_a_b:(a->((a->b)->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab6280530e0>, <kernel.DependentProduct object at 0xd97cb0>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_Itf__a_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring bot_bot_a_o:(a->Prop)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053290>, <kernel.DependentProduct object at 0xd97c68>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_Itf__b_M_Eo_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring bot_bot_b_o:(b->Prop)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053e60>, <kernel.Constant object at 0x2ab6280530e0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_Itf__a_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring bot_bot_set_a:set_a
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053830>, <kernel.Constant object at 0xd97c68>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_Itf__b_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring bot_bot_set_b:set_b
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab6280530e0>, <kernel.Constant object at 0xd976c8>) of role type named sy_c_Orderings_Obot__class_Obot_001tf__b
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring bot_bot_b:b
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053830>, <kernel.DependentProduct object at 0xd97cb0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__a_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring ord_less_eq_set_a:(set_a->(set_a->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053290>, <kernel.DependentProduct object at 0xd97680>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__b_J
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring ord_less_eq_set_b:(set_b->(set_b->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2ab628053290>, <kernel.DependentProduct object at 0xd973b0>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001tf__b
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring ord_less_eq_b:(b->(b->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0xd97cb0>, <kernel.DependentProduct object at 0xd975a8>) of role type named sy_c_Set_OCollect_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring collect_a:((a->Prop)->set_a)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97680>, <kernel.DependentProduct object at 0xd97248>) of role type named sy_c_Set_OCollect_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring collect_b:((b->Prop)->set_b)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97dd0>, <kernel.DependentProduct object at 0xd97c68>) of role type named sy_c_Set_Oinsert_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring insert_a:(a->(set_a->set_a))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cf8>, <kernel.DependentProduct object at 0xd97200>) of role type named sy_c_Set_Oinsert_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring insert_b:(b->(set_b->set_b))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97560>, <kernel.DependentProduct object at 0xd97cb0>) of role type named sy_c_Set_Ois__empty_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring is_empty_a:(set_a->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97248>, <kernel.DependentProduct object at 0xd97680>) of role type named sy_c_Set_Ois__empty_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring is_empty_b:(set_b->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd973f8>, <kernel.DependentProduct object at 0xd97170>) of role type named sy_c_Set_Ois__singleton_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring is_singleton_a:(set_a->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97dd0>, <kernel.DependentProduct object at 0xd97998>) of role type named sy_c_Set_Ois__singleton_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring is_singleton_b:(set_b->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cb0>, <kernel.DependentProduct object at 0xd97518>) of role type named sy_c_Set_Othe__elem_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring the_elem_a:(set_a->a)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97680>, <kernel.DependentProduct object at 0xd974d0>) of role type named sy_c_Set_Othe__elem_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring the_elem_b:(set_b->b)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97998>, <kernel.DependentProduct object at 0xd97cf8>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring topolo1276428101open_a:(set_a->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cb0>, <kernel.DependentProduct object at 0xd973f8>) of role type named sy_c_Topological__Spaces_Oopen__class_Oopen_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring topolo1276428102open_b:(set_b->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97680>, <kernel.DependentProduct object at 0xd97758>) of role type named sy_c_member_001tf__a
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring member_a:(a->(set_a->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cf8>, <kernel.DependentProduct object at 0xd97518>) of role type named sy_c_member_001tf__b
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring member_b:(b->(set_b->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd973f8>, <kernel.Constant object at 0xd97518>) of role type named sy_v_A____
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring a2:b
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97680>, <kernel.DependentProduct object at 0xd97ab8>) of role type named sy_v_f
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring f:(a->b)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cb0>, <kernel.Sort object at 0x2ab62802e638>) of role type named sy_v_thesis____
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring thesis:Prop
% 0.39/0.63 FOF formula (<kernel.Constant object at 0xd97cf8>, <kernel.Constant object at 0xd97680>) of role type named sy_v_x0
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring x0:a
% 0.39/0.63 FOF formula (not (((eq b) a2) (f x0))) of role axiom named fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062
% 0.39/0.63 A new axiom: (not (((eq b) a2) (f x0)))
% 0.39/0.63 FOF formula ((not (((eq b) (f x0)) a2))->((ex set_b) (fun (U:set_b)=> ((ex set_b) (fun (V:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U)) (topolo1276428102open_b V))) ((member_b (f x0)) U))) ((member_b a2) V))) (((eq set_b) ((inf_inf_set_b U) V)) bot_bot_set_b))))))) of role axiom named fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062
% 0.48/0.64 A new axiom: ((not (((eq b) (f x0)) a2))->((ex set_b) (fun (U:set_b)=> ((ex set_b) (fun (V:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U)) (topolo1276428102open_b V))) ((member_b (f x0)) U))) ((member_b a2) V))) (((eq set_b) ((inf_inf_set_b U) V)) bot_bot_set_b)))))))
% 0.48/0.64 FOF formula (forall (S:set_b) (T:set_b), ((topolo1276428102open_b S)->((topolo1276428102open_b T)->(topolo1276428102open_b ((inf_inf_set_b S) T))))) of role axiom named fact_2_open__Int
% 0.48/0.64 A new axiom: (forall (S:set_b) (T:set_b), ((topolo1276428102open_b S)->((topolo1276428102open_b T)->(topolo1276428102open_b ((inf_inf_set_b S) T)))))
% 0.48/0.64 FOF formula (forall (S:set_a) (T:set_a), ((topolo1276428101open_a S)->((topolo1276428101open_a T)->(topolo1276428101open_a ((inf_inf_set_a S) T))))) of role axiom named fact_3_open__Int
% 0.48/0.64 A new axiom: (forall (S:set_a) (T:set_a), ((topolo1276428101open_a S)->((topolo1276428101open_a T)->(topolo1276428101open_a ((inf_inf_set_a S) T)))))
% 0.48/0.64 FOF formula (topolo1276428102open_b bot_bot_set_b) of role axiom named fact_4_open__empty
% 0.48/0.64 A new axiom: (topolo1276428102open_b bot_bot_set_b)
% 0.48/0.64 FOF formula (topolo1276428101open_a bot_bot_set_a) of role axiom named fact_5_open__empty
% 0.48/0.64 A new axiom: (topolo1276428101open_a bot_bot_set_a)
% 0.48/0.64 FOF formula (forall (X:set_a), (((eq set_a) ((inf_inf_set_a bot_bot_set_a) X)) bot_bot_set_a)) of role axiom named fact_6_inf__bot__left
% 0.48/0.64 A new axiom: (forall (X:set_a), (((eq set_a) ((inf_inf_set_a bot_bot_set_a) X)) bot_bot_set_a))
% 0.48/0.64 FOF formula (forall (X:set_b), (((eq set_b) ((inf_inf_set_b bot_bot_set_b) X)) bot_bot_set_b)) of role axiom named fact_7_inf__bot__left
% 0.48/0.64 A new axiom: (forall (X:set_b), (((eq set_b) ((inf_inf_set_b bot_bot_set_b) X)) bot_bot_set_b))
% 0.48/0.64 FOF formula (forall (X:set_a), (((eq set_a) ((inf_inf_set_a X) bot_bot_set_a)) bot_bot_set_a)) of role axiom named fact_8_inf__bot__right
% 0.48/0.64 A new axiom: (forall (X:set_a), (((eq set_a) ((inf_inf_set_a X) bot_bot_set_a)) bot_bot_set_a))
% 0.48/0.64 FOF formula (forall (X:set_b), (((eq set_b) ((inf_inf_set_b X) bot_bot_set_b)) bot_bot_set_b)) of role axiom named fact_9_inf__bot__right
% 0.48/0.64 A new axiom: (forall (X:set_b), (((eq set_b) ((inf_inf_set_b X) bot_bot_set_b)) bot_bot_set_b))
% 0.48/0.64 FOF formula (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((ex set_b) (fun (V:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U)) (topolo1276428102open_b V))) ((member_b X) U))) ((member_b Y) V))) (((eq set_b) ((inf_inf_set_b U) V)) bot_bot_set_b)))))))) of role axiom named fact_10_hausdorff
% 0.48/0.64 A new axiom: (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((ex set_b) (fun (V:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U)) (topolo1276428102open_b V))) ((member_b X) U))) ((member_b Y) V))) (((eq set_b) ((inf_inf_set_b U) V)) bot_bot_set_b))))))))
% 0.48/0.64 FOF formula (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((ex set_b) (fun (V2:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U2)) (topolo1276428102open_b V2))) ((member_b X) U2))) ((member_b Y) V2))) (((eq set_b) ((inf_inf_set_b U2) V2)) bot_bot_set_b)))))))) of role axiom named fact_11_separation__t2
% 0.48/0.64 A new axiom: (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((ex set_b) (fun (V2:set_b)=> ((and ((and ((and ((and (topolo1276428102open_b U2)) (topolo1276428102open_b V2))) ((member_b X) U2))) ((member_b Y) V2))) (((eq set_b) ((inf_inf_set_b U2) V2)) bot_bot_set_b))))))))
% 0.48/0.64 FOF formula (forall (C:a) (A:set_a) (B:set_a), (((member_a C) A)->(((member_a C) B)->((member_a C) ((inf_inf_set_a A) B))))) of role axiom named fact_12_IntI
% 0.48/0.64 A new axiom: (forall (C:a) (A:set_a) (B:set_a), (((member_a C) A)->(((member_a C) B)->((member_a C) ((inf_inf_set_a A) B)))))
% 0.48/0.64 FOF formula (forall (C:b) (A:set_b) (B:set_b), (((member_b C) A)->(((member_b C) B)->((member_b C) ((inf_inf_set_b A) B))))) of role axiom named fact_13_IntI
% 0.48/0.64 A new axiom: (forall (C:b) (A:set_b) (B:set_b), (((member_b C) A)->(((member_b C) B)->((member_b C) ((inf_inf_set_b A) B)))))
% 0.48/0.65 FOF formula (forall (C:a) (A:set_a) (B:set_a), (((eq Prop) ((member_a C) ((inf_inf_set_a A) B))) ((and ((member_a C) A)) ((member_a C) B)))) of role axiom named fact_14_Int__iff
% 0.48/0.65 A new axiom: (forall (C:a) (A:set_a) (B:set_a), (((eq Prop) ((member_a C) ((inf_inf_set_a A) B))) ((and ((member_a C) A)) ((member_a C) B))))
% 0.48/0.65 FOF formula (forall (C:b) (A:set_b) (B:set_b), (((eq Prop) ((member_b C) ((inf_inf_set_b A) B))) ((and ((member_b C) A)) ((member_b C) B)))) of role axiom named fact_15_Int__iff
% 0.48/0.65 A new axiom: (forall (C:b) (A:set_b) (B:set_b), (((eq Prop) ((member_b C) ((inf_inf_set_b A) B))) ((and ((member_b C) A)) ((member_b C) B))))
% 0.48/0.65 FOF formula (forall (A2:set_b), (((eq set_b) ((inf_inf_set_b A2) A2)) A2)) of role axiom named fact_16_inf_Oidem
% 0.48/0.65 A new axiom: (forall (A2:set_b), (((eq set_b) ((inf_inf_set_b A2) A2)) A2))
% 0.48/0.65 FOF formula (forall (A2:set_a), (((eq set_a) ((inf_inf_set_a A2) A2)) A2)) of role axiom named fact_17_inf_Oidem
% 0.48/0.65 A new axiom: (forall (A2:set_a), (((eq set_a) ((inf_inf_set_a A2) A2)) A2))
% 0.48/0.65 FOF formula (forall (X:set_b), (((eq set_b) ((inf_inf_set_b X) X)) X)) of role axiom named fact_18_inf__idem
% 0.48/0.65 A new axiom: (forall (X:set_b), (((eq set_b) ((inf_inf_set_b X) X)) X))
% 0.48/0.65 FOF formula (forall (X:set_a), (((eq set_a) ((inf_inf_set_a X) X)) X)) of role axiom named fact_19_inf__idem
% 0.48/0.65 A new axiom: (forall (X:set_a), (((eq set_a) ((inf_inf_set_a X) X)) X))
% 0.48/0.65 FOF formula (forall (A2:set_b) (B2:set_b), (((eq set_b) ((inf_inf_set_b A2) ((inf_inf_set_b A2) B2))) ((inf_inf_set_b A2) B2))) of role axiom named fact_20_inf_Oleft__idem
% 0.48/0.65 A new axiom: (forall (A2:set_b) (B2:set_b), (((eq set_b) ((inf_inf_set_b A2) ((inf_inf_set_b A2) B2))) ((inf_inf_set_b A2) B2)))
% 0.48/0.65 FOF formula (forall (A2:set_a) (B2:set_a), (((eq set_a) ((inf_inf_set_a A2) ((inf_inf_set_a A2) B2))) ((inf_inf_set_a A2) B2))) of role axiom named fact_21_inf_Oleft__idem
% 0.48/0.65 A new axiom: (forall (A2:set_a) (B2:set_a), (((eq set_a) ((inf_inf_set_a A2) ((inf_inf_set_a A2) B2))) ((inf_inf_set_a A2) B2)))
% 0.48/0.65 FOF formula (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) bot_bot_set_b) (collect_b P))) (forall (X2:b), ((P X2)->False)))) of role axiom named fact_22_empty__Collect__eq
% 0.48/0.65 A new axiom: (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) bot_bot_set_b) (collect_b P))) (forall (X2:b), ((P X2)->False))))
% 0.48/0.65 FOF formula (forall (P:(a->Prop)), (((eq Prop) (((eq set_a) bot_bot_set_a) (collect_a P))) (forall (X2:a), ((P X2)->False)))) of role axiom named fact_23_empty__Collect__eq
% 0.48/0.65 A new axiom: (forall (P:(a->Prop)), (((eq Prop) (((eq set_a) bot_bot_set_a) (collect_a P))) (forall (X2:a), ((P X2)->False))))
% 0.48/0.65 FOF formula (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) (collect_b P)) bot_bot_set_b)) (forall (X2:b), ((P X2)->False)))) of role axiom named fact_24_Collect__empty__eq
% 0.48/0.65 A new axiom: (forall (P:(b->Prop)), (((eq Prop) (((eq set_b) (collect_b P)) bot_bot_set_b)) (forall (X2:b), ((P X2)->False))))
% 0.48/0.65 FOF formula (forall (P:(a->Prop)), (((eq Prop) (((eq set_a) (collect_a P)) bot_bot_set_a)) (forall (X2:a), ((P X2)->False)))) of role axiom named fact_25_Collect__empty__eq
% 0.48/0.65 A new axiom: (forall (P:(a->Prop)), (((eq Prop) (((eq set_a) (collect_a P)) bot_bot_set_a)) (forall (X2:a), ((P X2)->False))))
% 0.48/0.65 FOF formula (forall (A:set_b), (((eq Prop) (forall (X2:b), (((member_b X2) A)->False))) (((eq set_b) A) bot_bot_set_b))) of role axiom named fact_26_all__not__in__conv
% 0.48/0.65 A new axiom: (forall (A:set_b), (((eq Prop) (forall (X2:b), (((member_b X2) A)->False))) (((eq set_b) A) bot_bot_set_b)))
% 0.48/0.65 FOF formula (forall (A:set_a), (((eq Prop) (forall (X2:a), (((member_a X2) A)->False))) (((eq set_a) A) bot_bot_set_a))) of role axiom named fact_27_all__not__in__conv
% 0.48/0.65 A new axiom: (forall (A:set_a), (((eq Prop) (forall (X2:a), (((member_a X2) A)->False))) (((eq set_a) A) bot_bot_set_a)))
% 0.48/0.65 FOF formula (forall (C:b), (((member_b C) bot_bot_set_b)->False)) of role axiom named fact_28_empty__iff
% 0.48/0.65 A new axiom: (forall (C:b), (((member_b C) bot_bot_set_b)->False))
% 0.48/0.65 FOF formula (forall (C:a), (((member_a C) bot_bot_set_a)->False)) of role axiom named fact_29_empty__iff
% 0.48/0.65 A new axiom: (forall (C:a), (((member_a C) bot_bot_set_a)->False))
% 0.48/0.67 FOF formula (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Y)) ((inf_inf_set_b X) Y))) of role axiom named fact_30_inf__right__idem
% 0.48/0.67 A new axiom: (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Y)) ((inf_inf_set_b X) Y)))
% 0.48/0.67 FOF formula (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Y)) ((inf_inf_set_a X) Y))) of role axiom named fact_31_inf__right__idem
% 0.48/0.67 A new axiom: (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Y)) ((inf_inf_set_a X) Y)))
% 0.48/0.67 FOF formula (forall (A2:set_b) (B2:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A2) B2)) B2)) ((inf_inf_set_b A2) B2))) of role axiom named fact_32_inf_Oright__idem
% 0.48/0.67 A new axiom: (forall (A2:set_b) (B2:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A2) B2)) B2)) ((inf_inf_set_b A2) B2)))
% 0.48/0.67 FOF formula (forall (A2:set_a) (B2:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A2) B2)) B2)) ((inf_inf_set_a A2) B2))) of role axiom named fact_33_inf_Oright__idem
% 0.48/0.67 A new axiom: (forall (A2:set_a) (B2:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A2) B2)) B2)) ((inf_inf_set_a A2) B2)))
% 0.48/0.67 FOF formula (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b X) Y))) ((inf_inf_set_b X) Y))) of role axiom named fact_34_inf__left__idem
% 0.48/0.67 A new axiom: (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b X) Y))) ((inf_inf_set_b X) Y)))
% 0.48/0.67 FOF formula (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a X) Y))) ((inf_inf_set_a X) Y))) of role axiom named fact_35_inf__left__idem
% 0.48/0.67 A new axiom: (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a X) Y))) ((inf_inf_set_a X) Y)))
% 0.48/0.67 FOF formula (forall (S2:set_b), (((and (topolo1276428102open_b S2)) ((member_b (f x0)) S2))->((ex set_a) (fun (T2:set_a)=> ((and ((and (topolo1276428101open_a T2)) ((member_a x0) T2))) (forall (X3:a), (((member_a X3) T2)->(((ord_less_eq_b (f X3)) (f x0))->((member_b (f X3)) S2))))))))) of role axiom named fact_36__092_060open_062_092_060forall_062S_O_Aopen_AS_A_092_060and_062_Af_Ax0_A_092_060in_062_AS_A_092_060longrightarrow_062_A_I_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062x_H_092_060in_062T_O_Af_Ax_H_A_092_060le_062_Af_Ax0_A_092_060longrightarrow_062_Af_Ax_H_A_092_060in_062_AS_J_J_092_060close_062
% 0.48/0.67 A new axiom: (forall (S2:set_b), (((and (topolo1276428102open_b S2)) ((member_b (f x0)) S2))->((ex set_a) (fun (T2:set_a)=> ((and ((and (topolo1276428101open_a T2)) ((member_a x0) T2))) (forall (X3:a), (((member_a X3) T2)->(((ord_less_eq_b (f X3)) (f x0))->((member_b (f X3)) S2)))))))))
% 0.48/0.67 FOF formula (((eq set_b) bot_bot_set_b) (collect_b bot_bot_b_o)) of role axiom named fact_37_bot__set__def
% 0.48/0.67 A new axiom: (((eq set_b) bot_bot_set_b) (collect_b bot_bot_b_o))
% 0.48/0.67 FOF formula (((eq set_a) bot_bot_set_a) (collect_a bot_bot_a_o)) of role axiom named fact_38_bot__set__def
% 0.48/0.67 A new axiom: (((eq set_a) bot_bot_set_a) (collect_a bot_bot_a_o))
% 0.48/0.67 FOF formula (forall (A:set_b), (((eq Prop) ((ex b) (fun (X2:b)=> ((member_b X2) A)))) (not (((eq set_b) A) bot_bot_set_b)))) of role axiom named fact_39_ex__in__conv
% 0.48/0.67 A new axiom: (forall (A:set_b), (((eq Prop) ((ex b) (fun (X2:b)=> ((member_b X2) A)))) (not (((eq set_b) A) bot_bot_set_b))))
% 0.48/0.67 FOF formula (forall (A:set_a), (((eq Prop) ((ex a) (fun (X2:a)=> ((member_a X2) A)))) (not (((eq set_a) A) bot_bot_set_a)))) of role axiom named fact_40_ex__in__conv
% 0.48/0.67 A new axiom: (forall (A:set_a), (((eq Prop) ((ex a) (fun (X2:a)=> ((member_a X2) A)))) (not (((eq set_a) A) bot_bot_set_a))))
% 0.48/0.67 FOF formula (forall (A:set_b), ((forall (Y2:b), (((member_b Y2) A)->False))->(((eq set_b) A) bot_bot_set_b))) of role axiom named fact_41_equals0I
% 0.48/0.67 A new axiom: (forall (A:set_b), ((forall (Y2:b), (((member_b Y2) A)->False))->(((eq set_b) A) bot_bot_set_b)))
% 0.48/0.67 FOF formula (forall (A:set_a), ((forall (Y2:a), (((member_a Y2) A)->False))->(((eq set_a) A) bot_bot_set_a))) of role axiom named fact_42_equals0I
% 0.48/0.67 A new axiom: (forall (A:set_a), ((forall (Y2:a), (((member_a Y2) A)->False))->(((eq set_a) A) bot_bot_set_a)))
% 0.53/0.68 FOF formula (forall (A:set_b) (A2:b), ((((eq set_b) A) bot_bot_set_b)->(((member_b A2) A)->False))) of role axiom named fact_43_equals0D
% 0.53/0.68 A new axiom: (forall (A:set_b) (A2:b), ((((eq set_b) A) bot_bot_set_b)->(((member_b A2) A)->False)))
% 0.53/0.68 FOF formula (forall (A:set_a) (A2:a), ((((eq set_a) A) bot_bot_set_a)->(((member_a A2) A)->False))) of role axiom named fact_44_equals0D
% 0.53/0.68 A new axiom: (forall (A:set_a) (A2:a), ((((eq set_a) A) bot_bot_set_a)->(((member_a A2) A)->False)))
% 0.53/0.68 FOF formula (forall (A2:b), (((member_b A2) bot_bot_set_b)->False)) of role axiom named fact_45_emptyE
% 0.53/0.68 A new axiom: (forall (A2:b), (((member_b A2) bot_bot_set_b)->False))
% 0.53/0.68 FOF formula (forall (A2:a), (((member_a A2) bot_bot_set_a)->False)) of role axiom named fact_46_emptyE
% 0.53/0.68 A new axiom: (forall (A2:a), (((member_a A2) bot_bot_set_a)->False))
% 0.53/0.68 FOF formula (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))) ((inf_inf_set_b Y) ((inf_inf_set_b X) Z)))) of role axiom named fact_47_inf__left__commute
% 0.53/0.68 A new axiom: (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))) ((inf_inf_set_b Y) ((inf_inf_set_b X) Z))))
% 0.53/0.68 FOF formula (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))) ((inf_inf_set_a Y) ((inf_inf_set_a X) Z)))) of role axiom named fact_48_inf__left__commute
% 0.53/0.68 A new axiom: (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))) ((inf_inf_set_a Y) ((inf_inf_set_a X) Z))))
% 0.53/0.68 FOF formula (forall (B2:set_b) (A2:set_b) (C:set_b), (((eq set_b) ((inf_inf_set_b B2) ((inf_inf_set_b A2) C))) ((inf_inf_set_b A2) ((inf_inf_set_b B2) C)))) of role axiom named fact_49_inf_Oleft__commute
% 0.53/0.68 A new axiom: (forall (B2:set_b) (A2:set_b) (C:set_b), (((eq set_b) ((inf_inf_set_b B2) ((inf_inf_set_b A2) C))) ((inf_inf_set_b A2) ((inf_inf_set_b B2) C))))
% 0.53/0.68 FOF formula (forall (B2:set_a) (A2:set_a) (C:set_a), (((eq set_a) ((inf_inf_set_a B2) ((inf_inf_set_a A2) C))) ((inf_inf_set_a A2) ((inf_inf_set_a B2) C)))) of role axiom named fact_50_inf_Oleft__commute
% 0.53/0.68 A new axiom: (forall (B2:set_a) (A2:set_a) (C:set_a), (((eq set_a) ((inf_inf_set_a B2) ((inf_inf_set_a A2) C))) ((inf_inf_set_a A2) ((inf_inf_set_a B2) C))))
% 0.53/0.68 FOF formula (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (X2:set_b) (Y3:set_b)=> ((inf_inf_set_b Y3) X2))) of role axiom named fact_51_inf__commute
% 0.53/0.68 A new axiom: (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (X2:set_b) (Y3:set_b)=> ((inf_inf_set_b Y3) X2)))
% 0.53/0.68 FOF formula (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (X2:set_a) (Y3:set_a)=> ((inf_inf_set_a Y3) X2))) of role axiom named fact_52_inf__commute
% 0.53/0.68 A new axiom: (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (X2:set_a) (Y3:set_a)=> ((inf_inf_set_a Y3) X2)))
% 0.53/0.68 FOF formula (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (A3:set_b) (B3:set_b)=> ((inf_inf_set_b B3) A3))) of role axiom named fact_53_inf_Ocommute
% 0.53/0.68 A new axiom: (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (A3:set_b) (B3:set_b)=> ((inf_inf_set_b B3) A3)))
% 0.53/0.68 FOF formula (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (A3:set_a) (B3:set_a)=> ((inf_inf_set_a B3) A3))) of role axiom named fact_54_inf_Ocommute
% 0.53/0.68 A new axiom: (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (A3:set_a) (B3:set_a)=> ((inf_inf_set_a B3) A3)))
% 0.53/0.68 FOF formula (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Z)) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z)))) of role axiom named fact_55_inf__assoc
% 0.53/0.68 A new axiom: (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Z)) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))))
% 0.53/0.68 FOF formula (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Z)) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z)))) of role axiom named fact_56_inf__assoc
% 0.53/0.68 A new axiom: (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Z)) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))))
% 0.53/0.68 FOF formula (forall (A2:set_b) (B2:set_b) (C:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A2) B2)) C)) ((inf_inf_set_b A2) ((inf_inf_set_b B2) C)))) of role axiom named fact_57_inf_Oassoc
% 0.53/0.69 A new axiom: (forall (A2:set_b) (B2:set_b) (C:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A2) B2)) C)) ((inf_inf_set_b A2) ((inf_inf_set_b B2) C))))
% 0.53/0.69 FOF formula (forall (A2:set_a) (B2:set_a) (C:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A2) B2)) C)) ((inf_inf_set_a A2) ((inf_inf_set_a B2) C)))) of role axiom named fact_58_inf_Oassoc
% 0.53/0.69 A new axiom: (forall (A2:set_a) (B2:set_a) (C:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A2) B2)) C)) ((inf_inf_set_a A2) ((inf_inf_set_a B2) C))))
% 0.53/0.69 FOF formula (forall (B:set_b) (K:set_b) (B2:set_b) (A2:set_b), ((((eq set_b) B) ((inf_inf_set_b K) B2))->(((eq set_b) ((inf_inf_set_b A2) B)) ((inf_inf_set_b K) ((inf_inf_set_b A2) B2))))) of role axiom named fact_59_boolean__algebra__cancel_Oinf2
% 0.53/0.69 A new axiom: (forall (B:set_b) (K:set_b) (B2:set_b) (A2:set_b), ((((eq set_b) B) ((inf_inf_set_b K) B2))->(((eq set_b) ((inf_inf_set_b A2) B)) ((inf_inf_set_b K) ((inf_inf_set_b A2) B2)))))
% 0.53/0.69 FOF formula (forall (B:set_a) (K:set_a) (B2:set_a) (A2:set_a), ((((eq set_a) B) ((inf_inf_set_a K) B2))->(((eq set_a) ((inf_inf_set_a A2) B)) ((inf_inf_set_a K) ((inf_inf_set_a A2) B2))))) of role axiom named fact_60_boolean__algebra__cancel_Oinf2
% 0.53/0.69 A new axiom: (forall (B:set_a) (K:set_a) (B2:set_a) (A2:set_a), ((((eq set_a) B) ((inf_inf_set_a K) B2))->(((eq set_a) ((inf_inf_set_a A2) B)) ((inf_inf_set_a K) ((inf_inf_set_a A2) B2)))))
% 0.53/0.69 FOF formula (forall (A:set_b) (K:set_b) (A2:set_b) (B2:set_b), ((((eq set_b) A) ((inf_inf_set_b K) A2))->(((eq set_b) ((inf_inf_set_b A) B2)) ((inf_inf_set_b K) ((inf_inf_set_b A2) B2))))) of role axiom named fact_61_boolean__algebra__cancel_Oinf1
% 0.53/0.69 A new axiom: (forall (A:set_b) (K:set_b) (A2:set_b) (B2:set_b), ((((eq set_b) A) ((inf_inf_set_b K) A2))->(((eq set_b) ((inf_inf_set_b A) B2)) ((inf_inf_set_b K) ((inf_inf_set_b A2) B2)))))
% 0.53/0.69 FOF formula (forall (A:set_a) (K:set_a) (A2:set_a) (B2:set_a), ((((eq set_a) A) ((inf_inf_set_a K) A2))->(((eq set_a) ((inf_inf_set_a A) B2)) ((inf_inf_set_a K) ((inf_inf_set_a A2) B2))))) of role axiom named fact_62_boolean__algebra__cancel_Oinf1
% 0.53/0.69 A new axiom: (forall (A:set_a) (K:set_a) (A2:set_a) (B2:set_a), ((((eq set_a) A) ((inf_inf_set_a K) A2))->(((eq set_a) ((inf_inf_set_a A) B2)) ((inf_inf_set_a K) ((inf_inf_set_a A2) B2)))))
% 0.53/0.69 FOF formula (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (X2:set_b) (Y3:set_b)=> ((inf_inf_set_b Y3) X2))) of role axiom named fact_63_inf__sup__aci_I1_J
% 0.53/0.69 A new axiom: (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (X2:set_b) (Y3:set_b)=> ((inf_inf_set_b Y3) X2)))
% 0.53/0.69 FOF formula (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (X2:set_a) (Y3:set_a)=> ((inf_inf_set_a Y3) X2))) of role axiom named fact_64_inf__sup__aci_I1_J
% 0.53/0.69 A new axiom: (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (X2:set_a) (Y3:set_a)=> ((inf_inf_set_a Y3) X2)))
% 0.53/0.69 FOF formula (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Z)) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z)))) of role axiom named fact_65_inf__sup__aci_I2_J
% 0.53/0.69 A new axiom: (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b X) Y)) Z)) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))))
% 0.53/0.69 FOF formula (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Z)) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z)))) of role axiom named fact_66_inf__sup__aci_I2_J
% 0.53/0.69 A new axiom: (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a X) Y)) Z)) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))))
% 0.53/0.69 FOF formula (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))) ((inf_inf_set_b Y) ((inf_inf_set_b X) Z)))) of role axiom named fact_67_inf__sup__aci_I3_J
% 0.53/0.69 A new axiom: (forall (X:set_b) (Y:set_b) (Z:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b Y) Z))) ((inf_inf_set_b Y) ((inf_inf_set_b X) Z))))
% 0.53/0.69 FOF formula (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))) ((inf_inf_set_a Y) ((inf_inf_set_a X) Z)))) of role axiom named fact_68_inf__sup__aci_I3_J
% 0.53/0.71 A new axiom: (forall (X:set_a) (Y:set_a) (Z:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a Y) Z))) ((inf_inf_set_a Y) ((inf_inf_set_a X) Z))))
% 0.53/0.71 FOF formula (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b X) Y))) ((inf_inf_set_b X) Y))) of role axiom named fact_69_inf__sup__aci_I4_J
% 0.53/0.71 A new axiom: (forall (X:set_b) (Y:set_b), (((eq set_b) ((inf_inf_set_b X) ((inf_inf_set_b X) Y))) ((inf_inf_set_b X) Y)))
% 0.53/0.71 FOF formula (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a X) Y))) ((inf_inf_set_a X) Y))) of role axiom named fact_70_inf__sup__aci_I4_J
% 0.53/0.71 A new axiom: (forall (X:set_a) (Y:set_a), (((eq set_a) ((inf_inf_set_a X) ((inf_inf_set_a X) Y))) ((inf_inf_set_a X) Y)))
% 0.53/0.71 FOF formula (forall (A:set_b) (B:set_b) (C2:set_b), (((eq set_b) ((inf_inf_set_b A) ((inf_inf_set_b B) C2))) ((inf_inf_set_b B) ((inf_inf_set_b A) C2)))) of role axiom named fact_71_Int__left__commute
% 0.53/0.71 A new axiom: (forall (A:set_b) (B:set_b) (C2:set_b), (((eq set_b) ((inf_inf_set_b A) ((inf_inf_set_b B) C2))) ((inf_inf_set_b B) ((inf_inf_set_b A) C2))))
% 0.53/0.71 FOF formula (forall (A:set_a) (B:set_a) (C2:set_a), (((eq set_a) ((inf_inf_set_a A) ((inf_inf_set_a B) C2))) ((inf_inf_set_a B) ((inf_inf_set_a A) C2)))) of role axiom named fact_72_Int__left__commute
% 0.53/0.71 A new axiom: (forall (A:set_a) (B:set_a) (C2:set_a), (((eq set_a) ((inf_inf_set_a A) ((inf_inf_set_a B) C2))) ((inf_inf_set_a B) ((inf_inf_set_a A) C2))))
% 0.53/0.71 FOF formula (forall (A:set_b) (B:set_b), (((eq set_b) ((inf_inf_set_b A) ((inf_inf_set_b A) B))) ((inf_inf_set_b A) B))) of role axiom named fact_73_Int__left__absorb
% 0.53/0.71 A new axiom: (forall (A:set_b) (B:set_b), (((eq set_b) ((inf_inf_set_b A) ((inf_inf_set_b A) B))) ((inf_inf_set_b A) B)))
% 0.53/0.71 FOF formula (forall (A:set_a) (B:set_a), (((eq set_a) ((inf_inf_set_a A) ((inf_inf_set_a A) B))) ((inf_inf_set_a A) B))) of role axiom named fact_74_Int__left__absorb
% 0.53/0.71 A new axiom: (forall (A:set_a) (B:set_a), (((eq set_a) ((inf_inf_set_a A) ((inf_inf_set_a A) B))) ((inf_inf_set_a A) B)))
% 0.53/0.71 FOF formula (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (A4:set_b) (B4:set_b)=> ((inf_inf_set_b B4) A4))) of role axiom named fact_75_Int__commute
% 0.53/0.71 A new axiom: (((eq (set_b->(set_b->set_b))) inf_inf_set_b) (fun (A4:set_b) (B4:set_b)=> ((inf_inf_set_b B4) A4)))
% 0.53/0.71 FOF formula (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (A4:set_a) (B4:set_a)=> ((inf_inf_set_a B4) A4))) of role axiom named fact_76_Int__commute
% 0.53/0.71 A new axiom: (((eq (set_a->(set_a->set_a))) inf_inf_set_a) (fun (A4:set_a) (B4:set_a)=> ((inf_inf_set_a B4) A4)))
% 0.53/0.71 FOF formula (forall (A:set_b), (((eq set_b) ((inf_inf_set_b A) A)) A)) of role axiom named fact_77_Int__absorb
% 0.53/0.71 A new axiom: (forall (A:set_b), (((eq set_b) ((inf_inf_set_b A) A)) A))
% 0.53/0.71 FOF formula (forall (A:set_a), (((eq set_a) ((inf_inf_set_a A) A)) A)) of role axiom named fact_78_Int__absorb
% 0.53/0.71 A new axiom: (forall (A:set_a), (((eq set_a) ((inf_inf_set_a A) A)) A))
% 0.53/0.71 FOF formula (forall (A:set_b) (B:set_b) (C2:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A) B)) C2)) ((inf_inf_set_b A) ((inf_inf_set_b B) C2)))) of role axiom named fact_79_Int__assoc
% 0.53/0.71 A new axiom: (forall (A:set_b) (B:set_b) (C2:set_b), (((eq set_b) ((inf_inf_set_b ((inf_inf_set_b A) B)) C2)) ((inf_inf_set_b A) ((inf_inf_set_b B) C2))))
% 0.53/0.71 FOF formula (forall (A:set_a) (B:set_a) (C2:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A) B)) C2)) ((inf_inf_set_a A) ((inf_inf_set_a B) C2)))) of role axiom named fact_80_Int__assoc
% 0.53/0.71 A new axiom: (forall (A:set_a) (B:set_a) (C2:set_a), (((eq set_a) ((inf_inf_set_a ((inf_inf_set_a A) B)) C2)) ((inf_inf_set_a A) ((inf_inf_set_a B) C2))))
% 0.53/0.71 FOF formula (forall (A2:b) (P:(b->Prop)), (((eq Prop) ((member_b A2) (collect_b P))) (P A2))) of role axiom named fact_81_mem__Collect__eq
% 0.53/0.71 A new axiom: (forall (A2:b) (P:(b->Prop)), (((eq Prop) ((member_b A2) (collect_b P))) (P A2)))
% 0.53/0.71 FOF formula (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2))) of role axiom named fact_82_mem__Collect__eq
% 0.53/0.72 A new axiom: (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2)))
% 0.53/0.72 FOF formula (forall (A:set_b), (((eq set_b) (collect_b (fun (X2:b)=> ((member_b X2) A)))) A)) of role axiom named fact_83_Collect__mem__eq
% 0.53/0.72 A new axiom: (forall (A:set_b), (((eq set_b) (collect_b (fun (X2:b)=> ((member_b X2) A)))) A))
% 0.53/0.72 FOF formula (forall (A:set_a), (((eq set_a) (collect_a (fun (X2:a)=> ((member_a X2) A)))) A)) of role axiom named fact_84_Collect__mem__eq
% 0.53/0.72 A new axiom: (forall (A:set_a), (((eq set_a) (collect_a (fun (X2:a)=> ((member_a X2) A)))) A))
% 0.53/0.72 FOF formula (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((member_b C) B))) of role axiom named fact_85_IntD2
% 0.53/0.72 A new axiom: (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((member_b C) B)))
% 0.53/0.72 FOF formula (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((member_a C) B))) of role axiom named fact_86_IntD2
% 0.53/0.72 A new axiom: (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((member_a C) B)))
% 0.53/0.72 FOF formula (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((member_b C) A))) of role axiom named fact_87_IntD1
% 0.53/0.72 A new axiom: (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((member_b C) A)))
% 0.53/0.72 FOF formula (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((member_a C) A))) of role axiom named fact_88_IntD1
% 0.53/0.72 A new axiom: (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((member_a C) A)))
% 0.53/0.72 FOF formula (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((((member_b C) A)->(((member_b C) B)->False))->False))) of role axiom named fact_89_IntE
% 0.53/0.72 A new axiom: (forall (C:b) (A:set_b) (B:set_b), (((member_b C) ((inf_inf_set_b A) B))->((((member_b C) A)->(((member_b C) B)->False))->False)))
% 0.53/0.72 FOF formula (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((((member_a C) A)->(((member_a C) B)->False))->False))) of role axiom named fact_90_IntE
% 0.53/0.72 A new axiom: (forall (C:a) (A:set_a) (B:set_a), (((member_a C) ((inf_inf_set_a A) B))->((((member_a C) A)->(((member_a C) B)->False))->False)))
% 0.53/0.72 FOF formula (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((and ((and (topolo1276428102open_b U2)) ((member_b X) U2))) (((member_b Y) U2)->False)))))) of role axiom named fact_91_separation__t1
% 0.53/0.72 A new axiom: (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((and ((and (topolo1276428102open_b U2)) ((member_b X) U2))) (((member_b Y) U2)->False))))))
% 0.53/0.72 FOF formula (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((and (topolo1276428102open_b U2)) (not (((eq Prop) ((member_b X) U2)) ((member_b Y) U2)))))))) of role axiom named fact_92_separation__t0
% 0.53/0.72 A new axiom: (forall (X:b) (Y:b), (((eq Prop) (not (((eq b) X) Y))) ((ex set_b) (fun (U2:set_b)=> ((and (topolo1276428102open_b U2)) (not (((eq Prop) ((member_b X) U2)) ((member_b Y) U2))))))))
% 0.53/0.72 FOF formula (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((and ((and (topolo1276428102open_b U)) ((member_b X) U))) (((member_b Y) U)->False)))))) of role axiom named fact_93_t1__space
% 0.53/0.72 A new axiom: (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((and ((and (topolo1276428102open_b U)) ((member_b X) U))) (((member_b Y) U)->False))))))
% 0.53/0.72 FOF formula (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((and (topolo1276428102open_b U)) (not (((eq Prop) ((member_b X) U)) ((member_b Y) U)))))))) of role axiom named fact_94_t0__space
% 0.53/0.72 A new axiom: (forall (X:b) (Y:b), ((not (((eq b) X) Y))->((ex set_b) (fun (U:set_b)=> ((and (topolo1276428102open_b U)) (not (((eq Prop) ((member_b X) U)) ((member_b Y) U))))))))
% 0.53/0.72 FOF formula (forall (A:set_b) (B:set_b), (((eq Prop) (((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b)) (forall (X2:b), (((member_b X2) A)->(forall (Y3:b), (((member_b Y3) B)->(not (((eq b) X2) Y3)))))))) of role axiom named fact_95_disjoint__iff__not__equal
% 0.53/0.73 A new axiom: (forall (A:set_b) (B:set_b), (((eq Prop) (((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b)) (forall (X2:b), (((member_b X2) A)->(forall (Y3:b), (((member_b Y3) B)->(not (((eq b) X2) Y3))))))))
% 0.53/0.73 FOF formula (forall (A:set_a) (B:set_a), (((eq Prop) (((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a)) (forall (X2:a), (((member_a X2) A)->(forall (Y3:a), (((member_a Y3) B)->(not (((eq a) X2) Y3)))))))) of role axiom named fact_96_disjoint__iff__not__equal
% 0.53/0.73 A new axiom: (forall (A:set_a) (B:set_a), (((eq Prop) (((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a)) (forall (X2:a), (((member_a X2) A)->(forall (Y3:a), (((member_a Y3) B)->(not (((eq a) X2) Y3))))))))
% 0.53/0.73 FOF formula (forall (A:set_b), (((eq set_b) ((inf_inf_set_b A) bot_bot_set_b)) bot_bot_set_b)) of role axiom named fact_97_Int__empty__right
% 0.53/0.73 A new axiom: (forall (A:set_b), (((eq set_b) ((inf_inf_set_b A) bot_bot_set_b)) bot_bot_set_b))
% 0.53/0.73 FOF formula (forall (A:set_a), (((eq set_a) ((inf_inf_set_a A) bot_bot_set_a)) bot_bot_set_a)) of role axiom named fact_98_Int__empty__right
% 0.53/0.73 A new axiom: (forall (A:set_a), (((eq set_a) ((inf_inf_set_a A) bot_bot_set_a)) bot_bot_set_a))
% 0.53/0.73 FOF formula (forall (B:set_b), (((eq set_b) ((inf_inf_set_b bot_bot_set_b) B)) bot_bot_set_b)) of role axiom named fact_99_Int__empty__left
% 0.53/0.73 A new axiom: (forall (B:set_b), (((eq set_b) ((inf_inf_set_b bot_bot_set_b) B)) bot_bot_set_b))
% 0.53/0.73 FOF formula (forall (B:set_a), (((eq set_a) ((inf_inf_set_a bot_bot_set_a) B)) bot_bot_set_a)) of role axiom named fact_100_Int__empty__left
% 0.53/0.73 A new axiom: (forall (B:set_a), (((eq set_a) ((inf_inf_set_a bot_bot_set_a) B)) bot_bot_set_a))
% 0.53/0.73 FOF formula (forall (A:set_b) (B:set_b), (((eq Prop) (((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b)) (forall (X2:b), (((member_b X2) A)->(((member_b X2) B)->False))))) of role axiom named fact_101_disjoint__iff
% 0.53/0.73 A new axiom: (forall (A:set_b) (B:set_b), (((eq Prop) (((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b)) (forall (X2:b), (((member_b X2) A)->(((member_b X2) B)->False)))))
% 0.53/0.73 FOF formula (forall (A:set_a) (B:set_a), (((eq Prop) (((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a)) (forall (X2:a), (((member_a X2) A)->(((member_a X2) B)->False))))) of role axiom named fact_102_disjoint__iff
% 0.53/0.73 A new axiom: (forall (A:set_a) (B:set_a), (((eq Prop) (((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a)) (forall (X2:a), (((member_a X2) A)->(((member_a X2) B)->False)))))
% 0.53/0.73 FOF formula (forall (A:set_b) (B:set_b), ((forall (X4:b), (((member_b X4) A)->(((member_b X4) B)->False)))->(((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b))) of role axiom named fact_103_Int__emptyI
% 0.53/0.73 A new axiom: (forall (A:set_b) (B:set_b), ((forall (X4:b), (((member_b X4) A)->(((member_b X4) B)->False)))->(((eq set_b) ((inf_inf_set_b A) B)) bot_bot_set_b)))
% 0.53/0.73 FOF formula (forall (A:set_a) (B:set_a), ((forall (X4:a), (((member_a X4) A)->(((member_a X4) B)->False)))->(((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a))) of role axiom named fact_104_Int__emptyI
% 0.53/0.73 A new axiom: (forall (A:set_a) (B:set_a), ((forall (X4:a), (((member_a X4) A)->(((member_a X4) B)->False)))->(((eq set_a) ((inf_inf_set_a A) B)) bot_bot_set_a)))
% 0.53/0.73 <<< )
% 0.53/0.73 = bot_bot_set_a ) ) )).
% 0.53/0.73
% 0.53/0.73 % Int_emptyI
% 0.53/0.73 thf(fact_105_calculation,axiom,
% 0.53/0.73 ( ~ !>>>!!!<<< [S2: set_b] :
% 0.53/0.73 ( ( ( topolo1276428102open_b @ S2 )
% 0.53/0.73 & ( member_b @ ( >>>
% 0.53/0.73 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, 11, 22, 30, 36, 43, 50, 99, 124]
% 0.53/0.73 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,25133), LexToken(LPAR,'(',1,25136), name, LexToken(COMMA,',',1,25157), formula_role, LexToken(COMMA,',',1,25163), LexToken(LPAR,'(',1,25169), unary_connective]
% 0.53/0.73 Unexpected exception Syntax error at '!':BANG
% 0.53/0.73 Traceback (most recent call last):
% 0.53/0.73 File "CASC.py", line 79, in <module>
% 0.53/0.73 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.53/0.73 File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.53/0.73 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.53/0.73 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.53/0.73 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.53/0.73 File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.53/0.73 tok = self.errorfunc(errtoken)
% 0.53/0.73 File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.53/0.73 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.53/0.73 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------