%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP032^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 13:23:59 EDT 2021

% Result   : Unknown 0.67s
% 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  : ITP032^1 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.13  % Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n016.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 04:44:39 EDT 2021
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35  Python 2.7.5
% 0.40/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1767248>, <kernel.Type object at 0x17673f8>) of role type named ty_n_t__BinaryTree____Mirabelle____mlzyzwgbkd__OTree_Itf__a_J
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary1439146945Tree_a:Type
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1761ea8>, <kernel.Type object at 0x1767908>) of role type named ty_n_t__Set__Oset_Itf__a_J
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring set_a:Type
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x17675a8>, <kernel.Type object at 0x1767a28>) of role type named ty_n_t__Int__Oint
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring int:Type
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x17673f8>, <kernel.Type object at 0x17671b8>) of role type named ty_n_tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring a:Type
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1767098>, <kernel.DependentProduct object at 0x2ab80264dfc8>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OTree_OT_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary717961607le_T_a:(binary1439146945Tree_a->(a->(binary1439146945Tree_a->binary1439146945Tree_a)))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80264d0e0>, <kernel.Constant object at 0x1767488>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OTree_OTip_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary476621312_Tip_a:binary1439146945Tree_a
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80264d5a8>, <kernel.DependentProduct object at 0x1767098>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OTree_Opred__Tree_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary1452917696Tree_a:((a->Prop)->(binary1439146945Tree_a->Prop))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80264d5a8>, <kernel.DependentProduct object at 0x2ab80a125908>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OTree_Oset__Tree_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary256242811Tree_a:(binary1439146945Tree_a->set_a)
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1767a28>, <kernel.DependentProduct object at 0x2ab80a144638>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_Obinsert_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary1226383794sert_a:((a->int)->(a->(binary1439146945Tree_a->binary1439146945Tree_a)))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80a125998>, <kernel.DependentProduct object at 0x17673f8>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_Oeqs_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary504661350_eqs_a:((a->int)->(a->set_a))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80a125998>, <kernel.DependentProduct object at 0x17673f8>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_Omemb_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary2053421120memb_a:((a->int)->(a->(binary1439146945Tree_a->Prop)))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80a1441b8>, <kernel.DependentProduct object at 0x1767ea8>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OsetOf_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary945792244etOf_a:(binary1439146945Tree_a->set_a)
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80a144170>, <kernel.DependentProduct object at 0x17672d8>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_OsortedTree_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary1721989714Tree_a:((a->int)->(binary1439146945Tree_a->Prop))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x2ab80a144170>, <kernel.DependentProduct object at 0x1767908>) of role type named sy_c_BinaryTree__Mirabelle__mlzyzwgbkd_Osorted__distinct__pred_001tf__a
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring binary670562003pred_a:((a->int)->(a->(a->(binary1439146945Tree_a->Prop))))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1767098>, <kernel.DependentProduct object at 0x1767908>) of role type named sy_c_Groups_Ominus__class_Ominus_001_062_Itf__a_M_Eo_J
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring minus_minus_a_o:((a->Prop)->((a->Prop)->(a->Prop)))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x17675a8>, <kernel.DependentProduct object at 0x2ab802676f80>) of role type named sy_c_Groups_Ominus__class_Ominus_001_Eo
% 0.40/0.61  Using role type
% 0.40/0.61  Declaring minus_minus_o:(Prop->(Prop->Prop))
% 0.40/0.61  FOF formula (<kernel.Constant object at 0x1767a28>, <kernel.DependentProduct object at 0x1767908>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring minus_minus_int:(int->(int->int))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x1767098>, <kernel.DependentProduct object at 0x2ab802676e60>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_Itf__a_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring minus_minus_set_a:(set_a->(set_a->set_a))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x17675a8>, <kernel.DependentProduct object at 0x2ab802676fc8>) of role type named sy_c_HOL_OThe_001tf__a
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring the_a:((a->Prop)->a)
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x1767098>, <kernel.DependentProduct object at 0x2ab802676e18>) of role type named sy_c_Lattices_Osup__class_Osup_001_062_Itf__a_M_Eo_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring sup_sup_a_o:((a->Prop)->((a->Prop)->(a->Prop)))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x17675a8>, <kernel.DependentProduct object at 0x2ab802676dd0>) of role type named sy_c_Lattices_Osup__class_Osup_001_Eo
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring sup_sup_o:(Prop->(Prop->Prop))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x1767908>, <kernel.DependentProduct object at 0x2ab802676e18>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Int__Oint
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring sup_sup_int:(int->(int->int))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x1767908>, <kernel.DependentProduct object at 0x2ab802676ef0>) of role type named sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_Itf__a_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring sup_sup_set_a:(set_a->(set_a->set_a))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676dd0>, <kernel.DependentProduct object at 0x2ab802676cf8>) of role type named sy_c_Orderings_Obot__class_Obot_001_062_Itf__a_M_Eo_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring bot_bot_a_o:(a->Prop)
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676e18>, <kernel.Sort object at 0x2ab80a1255a8>) of role type named sy_c_Orderings_Obot__class_Obot_001_Eo
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring bot_bot_o:Prop
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676ea8>, <kernel.Constant object at 0x2ab802676dd0>) of role type named sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_Itf__a_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring bot_bot_set_a:set_a
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676ef0>, <kernel.DependentProduct object at 0x2ab802676b00>) of role type named sy_c_Orderings_Oord__class_Oless_001_062_Itf__a_M_Eo_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring ord_less_a_o:((a->Prop)->((a->Prop)->Prop))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676f80>, <kernel.DependentProduct object at 0x2ab802676dd0>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Int__Oint
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring ord_less_int:(int->(int->Prop))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676b90>, <kernel.DependentProduct object at 0x2ab802676e18>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Set__Oset_Itf__a_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring ord_less_set_a:(set_a->(set_a->Prop))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676b00>, <kernel.DependentProduct object at 0x2ab802676ea8>) of role type named sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_Itf__a_J
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring ord_less_eq_set_a:(set_a->(set_a->Prop))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676dd0>, <kernel.DependentProduct object at 0x2ab802676fc8>) of role type named sy_c_Set_OCollect_001tf__a
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring collect_a:((a->Prop)->set_a)
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676e18>, <kernel.DependentProduct object at 0x2ab802676b90>) of role type named sy_c_Set_Oinsert_001tf__a
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring insert_a:(a->(set_a->set_a))
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676e60>, <kernel.DependentProduct object at 0x2ab802676a28>) of role type named sy_c_Set_Ois__empty_001tf__a
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring is_empty_a:(set_a->Prop)
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676ab8>, <kernel.DependentProduct object at 0x2ab802676b00>) of role type named sy_c_Set_Ois__singleton_001tf__a
% 0.40/0.62  Using role type
% 0.40/0.62  Declaring is_singleton_a:(set_a->Prop)
% 0.40/0.62  FOF formula (<kernel.Constant object at 0x2ab802676dd0>, <kernel.DependentProduct object at 0x2ab8026769e0>) of role type named sy_c_Set_Oremove_001tf__a
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring remove_a:(a->(set_a->set_a))
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676f80>, <kernel.DependentProduct object at 0x2ab802676b00>) of role type named sy_c_Set_Othe__elem_001tf__a
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring the_elem_a:(set_a->a)
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676a28>, <kernel.DependentProduct object at 0x2ab802676998>) of role type named sy_c_member_001tf__a
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring member_a:(a->(set_a->Prop))
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab8026769e0>, <kernel.Constant object at 0x2ab802676998>) of role type named sy_v_e
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring e:a
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676ab8>, <kernel.DependentProduct object at 0x2ab802676878>) of role type named sy_v_h
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring h:(a->int)
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676b00>, <kernel.Constant object at 0x2ab802676878>) of role type named sy_v_t1____
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring t1:binary1439146945Tree_a
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab8026769e0>, <kernel.Constant object at 0x2ab802676878>) of role type named sy_v_t2____
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring t2:binary1439146945Tree_a
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676ab8>, <kernel.Constant object at 0x2ab802676878>) of role type named sy_v_w____
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring w:a
% 0.40/0.63  FOF formula (<kernel.Constant object at 0x2ab802676b00>, <kernel.Constant object at 0x2ab802676878>) of role type named sy_v_x____
% 0.40/0.63  Using role type
% 0.40/0.63  Declaring x:a
% 0.40/0.63  FOF formula ((member_a w) (binary945792244etOf_a t1)) of role axiom named fact_0_whSet
% 0.40/0.63  A new axiom: ((member_a w) (binary945792244etOf_a t1))
% 0.40/0.63  FOF formula ((binary1721989714Tree_a h) (((binary717961607le_T_a t1) x) t2)) of role axiom named fact_1_s
% 0.40/0.63  A new axiom: ((binary1721989714Tree_a h) (((binary717961607le_T_a t1) x) t2))
% 0.40/0.63  FOF formula ((binary1721989714Tree_a h) t2) of role axiom named fact_2_s2
% 0.40/0.63  A new axiom: ((binary1721989714Tree_a h) t2)
% 0.40/0.63  FOF formula ((binary1721989714Tree_a h) t1) of role axiom named fact_3_s1
% 0.40/0.63  A new axiom: ((binary1721989714Tree_a h) t1)
% 0.40/0.63  FOF formula (((ord_less_int (h e)) (h x))->False) of role axiom named fact_4_eNotLess
% 0.40/0.63  A new axiom: (((ord_less_int (h e)) (h x))->False)
% 0.40/0.63  FOF formula (((ord_less_int (h x)) (h e))->False) of role axiom named fact_5_xNotLess
% 0.40/0.63  A new axiom: (((ord_less_int (h x)) (h e))->False)
% 0.40/0.63  FOF formula ((member_a w) ((binary504661350_eqs_a h) e)) of role axiom named fact_6_whEq
% 0.40/0.63  A new axiom: ((member_a w) ((binary504661350_eqs_a h) e))
% 0.40/0.63  FOF formula (((eq int) (h x)) (h e)) of role axiom named fact_7_xeqe
% 0.40/0.63  A new axiom: (((eq int) (h x)) (h e))
% 0.40/0.63  FOF formula (forall (X21:binary1439146945Tree_a) (X22:a) (X23:binary1439146945Tree_a) (Y21:binary1439146945Tree_a) (Y22:a) (Y23:binary1439146945Tree_a), (((eq Prop) (((eq binary1439146945Tree_a) (((binary717961607le_T_a X21) X22) X23)) (((binary717961607le_T_a Y21) Y22) Y23))) ((and ((and (((eq binary1439146945Tree_a) X21) Y21)) (((eq a) X22) Y22))) (((eq binary1439146945Tree_a) X23) Y23)))) of role axiom named fact_8_Tree_Oinject
% 0.40/0.63  A new axiom: (forall (X21:binary1439146945Tree_a) (X22:a) (X23:binary1439146945Tree_a) (Y21:binary1439146945Tree_a) (Y22:a) (Y23:binary1439146945Tree_a), (((eq Prop) (((eq binary1439146945Tree_a) (((binary717961607le_T_a X21) X22) X23)) (((binary717961607le_T_a Y21) Y22) Y23))) ((and ((and (((eq binary1439146945Tree_a) X21) Y21)) (((eq a) X22) Y22))) (((eq binary1439146945Tree_a) X23) Y23))))
% 0.40/0.63  FOF formula ((member_a x) ((binary504661350_eqs_a h) e)) of role axiom named fact_9_calculation
% 0.40/0.63  A new axiom: ((member_a x) ((binary504661350_eqs_a h) e))
% 0.40/0.63  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((ord_less_int T) X)->False)))))) of role axiom named fact_10_minf_I7_J
% 0.40/0.63  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((ord_less_int T) X)->False))))))
% 0.40/0.63  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->((ord_less_int X) T)))))) of role axiom named fact_11_minf_I5_J
% 0.47/0.65  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->((ord_less_int X) T))))))
% 0.47/0.65  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(not (((eq int) X) T))))))) of role axiom named fact_12_minf_I4_J
% 0.47/0.65  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(not (((eq int) X) T)))))))
% 0.47/0.65  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(not (((eq int) X) T))))))) of role axiom named fact_13_minf_I3_J
% 0.47/0.65  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(not (((eq int) X) T)))))))
% 0.47/0.65  FOF formula (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((eq Prop) ((or (P X)) (Q X))) ((or (P2 X)) (Q2 X)))))))))) of role axiom named fact_14_minf_I2_J
% 0.47/0.65  A new axiom: (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((eq Prop) ((or (P X)) (Q X))) ((or (P2 X)) (Q2 X))))))))))
% 0.47/0.65  FOF formula (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((eq Prop) ((and (P X)) (Q X))) ((and (P2 X)) (Q2 X)))))))))) of role axiom named fact_15_minf_I1_J
% 0.47/0.65  A new axiom: (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int X2) Z2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int X) Z)->(((eq Prop) ((and (P X)) (Q X))) ((and (P2 X)) (Q2 X))))))))))
% 0.47/0.65  FOF formula (((eq binary1439146945Tree_a) (((binary1226383794sert_a h) e) (((binary717961607le_T_a t1) x) t2))) (((binary717961607le_T_a t1) e) t2)) of role axiom named fact_16_res
% 0.47/0.65  A new axiom: (((eq binary1439146945Tree_a) (((binary1226383794sert_a h) e) (((binary717961607le_T_a t1) x) t2))) (((binary717961607le_T_a t1) e) t2))
% 0.47/0.65  FOF formula (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))->((binary1721989714Tree_a H) T2))) of role axiom named fact_17_sortLemmaR
% 0.47/0.65  A new axiom: (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))->((binary1721989714Tree_a H) T2)))
% 0.47/0.65  FOF formula (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))->((binary1721989714Tree_a H) T1))) of role axiom named fact_18_sortLemmaL
% 0.47/0.65  A new axiom: (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))->((binary1721989714Tree_a H) T1)))
% 0.47/0.65  FOF formula (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((eq Prop) ((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))) ((and ((and ((and ((binary1721989714Tree_a H) T1)) (forall (X4:a), (((member_a X4) (binary945792244etOf_a T1))->((ord_less_int (H X4)) (H X3)))))) (forall (X4:a), (((member_a X4) (binary945792244etOf_a T2))->((ord_less_int (H X3)) (H X4)))))) ((binary1721989714Tree_a H) T2)))) of role axiom named fact_19_sortedTree_Osimps_I2_J
% 0.47/0.66  A new axiom: (forall (H:(a->int)) (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((eq Prop) ((binary1721989714Tree_a H) (((binary717961607le_T_a T1) X3) T2))) ((and ((and ((and ((binary1721989714Tree_a H) T1)) (forall (X4:a), (((member_a X4) (binary945792244etOf_a T1))->((ord_less_int (H X4)) (H X3)))))) (forall (X4:a), (((member_a X4) (binary945792244etOf_a T2))->((ord_less_int (H X3)) (H X4)))))) ((binary1721989714Tree_a H) T2))))
% 0.47/0.66  FOF formula (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((eq Prop) ((and (P X)) (Q X))) ((and (P2 X)) (Q2 X)))))))))) of role axiom named fact_20_pinf_I1_J
% 0.47/0.66  A new axiom: (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((eq Prop) ((and (P X)) (Q X))) ((and (P2 X)) (Q2 X))))))))))
% 0.47/0.66  FOF formula (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((eq Prop) ((or (P X)) (Q X))) ((or (P2 X)) (Q2 X)))))))))) of role axiom named fact_21_pinf_I2_J
% 0.47/0.66  A new axiom: (forall (P:(int->Prop)) (P2:(int->Prop)) (Q:(int->Prop)) (Q2:(int->Prop)), (((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (P X2)) (P2 X2))))))->(((ex int) (fun (Z2:int)=> (forall (X2:int), (((ord_less_int Z2) X2)->(((eq Prop) (Q X2)) (Q2 X2))))))->((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((eq Prop) ((or (P X)) (Q X))) ((or (P2 X)) (Q2 X))))))))))
% 0.47/0.66  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(not (((eq int) X) T))))))) of role axiom named fact_22_pinf_I3_J
% 0.47/0.66  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(not (((eq int) X) T)))))))
% 0.47/0.66  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(not (((eq int) X) T))))))) of role axiom named fact_23_pinf_I4_J
% 0.47/0.66  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(not (((eq int) X) T)))))))
% 0.47/0.66  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((ord_less_int X) T)->False)))))) of role axiom named fact_24_pinf_I5_J
% 0.47/0.66  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->(((ord_less_int X) T)->False))))))
% 0.47/0.66  FOF formula (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->((ord_less_int T) X)))))) of role axiom named fact_25_pinf_I7_J
% 0.47/0.66  A new axiom: (forall (T:int), ((ex int) (fun (Z:int)=> (forall (X:int), (((ord_less_int Z) X)->((ord_less_int T) X))))))
% 0.47/0.66  FOF formula (((eq ((a->int)->(a->(a->(binary1439146945Tree_a->Prop))))) binary670562003pred_a) (fun (H2:(a->int)) (A:a) (B:a) (T3:binary1439146945Tree_a)=> (((and ((and ((and ((binary1721989714Tree_a H2) T3)) ((member_a A) (binary945792244etOf_a T3)))) ((member_a B) (binary945792244etOf_a T3)))) (((eq int) (H2 A)) (H2 B)))->(((eq a) A) B)))) of role axiom named fact_26_sorted__distinct__pred__def
% 0.47/0.66  A new axiom: (((eq ((a->int)->(a->(a->(binary1439146945Tree_a->Prop))))) binary670562003pred_a) (fun (H2:(a->int)) (A:a) (B:a) (T3:binary1439146945Tree_a)=> (((and ((and ((and ((binary1721989714Tree_a H2) T3)) ((member_a A) (binary945792244etOf_a T3)))) ((member_a B) (binary945792244etOf_a T3)))) (((eq int) (H2 A)) (H2 B)))->(((eq a) A) B))))
% 0.51/0.68  FOF formula (forall (H:(a->int)) (T:binary1439146945Tree_a) (X3:a), (((binary1721989714Tree_a H) T)->(((eq Prop) (((binary2053421120memb_a H) X3) T)) ((member_a X3) (binary945792244etOf_a T))))) of role axiom named fact_27_memb__spec
% 0.51/0.68  A new axiom: (forall (H:(a->int)) (T:binary1439146945Tree_a) (X3:a), (((binary1721989714Tree_a H) T)->(((eq Prop) (((binary2053421120memb_a H) X3) T)) ((member_a X3) (binary945792244etOf_a T)))))
% 0.51/0.68  FOF formula (forall (H:(a->int)) (E:a) (X3:a) (T1:binary1439146945Tree_a) (T2:binary1439146945Tree_a), ((and (((ord_less_int (H E)) (H X3))->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a (((binary1226383794sert_a H) E) T1)) X3) T2)))) ((((ord_less_int (H E)) (H X3))->False)->((and (((ord_less_int (H X3)) (H E))->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a T1) X3) (((binary1226383794sert_a H) E) T2))))) ((((ord_less_int (H X3)) (H E))->False)->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a T1) E) T2))))))) of role axiom named fact_28_binsert_Osimps_I2_J
% 0.51/0.68  A new axiom: (forall (H:(a->int)) (E:a) (X3:a) (T1:binary1439146945Tree_a) (T2:binary1439146945Tree_a), ((and (((ord_less_int (H E)) (H X3))->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a (((binary1226383794sert_a H) E) T1)) X3) T2)))) ((((ord_less_int (H E)) (H X3))->False)->((and (((ord_less_int (H X3)) (H E))->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a T1) X3) (((binary1226383794sert_a H) E) T2))))) ((((ord_less_int (H X3)) (H E))->False)->(((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) (((binary717961607le_T_a T1) X3) T2))) (((binary717961607le_T_a T1) E) T2)))))))
% 0.51/0.68  FOF formula (forall (X3:int) (Y:int), ((not (((eq int) X3) Y))->((((ord_less_int X3) Y)->False)->((ord_less_int Y) X3)))) of role axiom named fact_29_linorder__neqE__linordered__idom
% 0.51/0.68  A new axiom: (forall (X3:int) (Y:int), ((not (((eq int) X3) Y))->((((ord_less_int X3) Y)->False)->((ord_less_int Y) X3))))
% 0.51/0.68  FOF formula (forall (B2:set_a) (A2:set_a), (((ord_less_set_a B2) A2)->(not (((eq set_a) A2) B2)))) of role axiom named fact_30_dual__order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (B2:set_a) (A2:set_a), (((ord_less_set_a B2) A2)->(not (((eq set_a) A2) B2))))
% 0.51/0.68  FOF formula (forall (B2:(a->Prop)) (A2:(a->Prop)), (((ord_less_a_o B2) A2)->(not (((eq (a->Prop)) A2) B2)))) of role axiom named fact_31_dual__order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (B2:(a->Prop)) (A2:(a->Prop)), (((ord_less_a_o B2) A2)->(not (((eq (a->Prop)) A2) B2))))
% 0.51/0.68  FOF formula (forall (B2:int) (A2:int), (((ord_less_int B2) A2)->(not (((eq int) A2) B2)))) of role axiom named fact_32_dual__order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (B2:int) (A2:int), (((ord_less_int B2) A2)->(not (((eq int) A2) B2))))
% 0.51/0.68  FOF formula (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(not (((eq set_a) A2) B2)))) of role axiom named fact_33_order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(not (((eq set_a) A2) B2))))
% 0.51/0.68  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(not (((eq (a->Prop)) A2) B2)))) of role axiom named fact_34_order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(not (((eq (a->Prop)) A2) B2))))
% 0.51/0.68  FOF formula (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(not (((eq int) A2) B2)))) of role axiom named fact_35_order_Ostrict__implies__not__eq
% 0.51/0.68  A new axiom: (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(not (((eq int) A2) B2))))
% 0.51/0.68  FOF formula (forall (H:(a->int)) (A2:a) (B2:a) (T:binary1439146945Tree_a), ((((binary670562003pred_a H) A2) B2) T)) of role axiom named fact_36_sorted__distinct
% 0.51/0.70  A new axiom: (forall (H:(a->int)) (A2:a) (B2:a) (T:binary1439146945Tree_a), ((((binary670562003pred_a H) A2) B2) T))
% 0.51/0.70  FOF formula (forall (A2:set_a) (F:(int->set_a)) (B2:int) (C:int), ((((eq set_a) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_37_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:set_a) (F:(int->set_a)) (B2:int) (C:int), ((((eq set_a) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:(a->Prop)) (F:(int->(a->Prop))) (B2:int) (C:int), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_38_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:(a->Prop)) (F:(int->(a->Prop))) (B2:int) (C:int), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:int) (F:(set_a->int)) (B2:set_a) (C:set_a), ((((eq int) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_39_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:int) (F:(set_a->int)) (B2:set_a) (C:set_a), ((((eq int) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C:set_a), ((((eq set_a) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_40_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C:set_a), ((((eq set_a) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:(a->Prop)) (F:(set_a->(a->Prop))) (B2:set_a) (C:set_a), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_41_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:(a->Prop)) (F:(set_a->(a->Prop))) (B2:set_a) (C:set_a), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:int) (F:((a->Prop)->int)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq int) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_42_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:int) (F:((a->Prop)->int)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq int) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:set_a) (F:((a->Prop)->set_a)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq set_a) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_43_ord__eq__less__subst
% 0.51/0.70  A new axiom: (forall (A2:set_a) (F:((a->Prop)->set_a)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq set_a) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.51/0.70  FOF formula (forall (A2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (B2:(a->Prop)) (C:(a->Prop)), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_44_ord__eq__less__subst
% 0.51/0.72  A new axiom: (forall (A2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (B2:(a->Prop)) (C:(a->Prop)), ((((eq (a->Prop)) A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.51/0.72  FOF formula (forall (A2:int) (F:(int->int)) (B2:int) (C:int), ((((eq int) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_45_ord__eq__less__subst
% 0.51/0.72  A new axiom: (forall (A2:int) (F:(int->int)) (B2:int) (C:int), ((((eq int) A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.51/0.72  FOF formula (forall (A2:int) (B2:int) (F:(int->set_a)) (C:set_a), (((ord_less_int A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_46_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:int) (B2:int) (F:(int->set_a)) (C:set_a), (((ord_less_int A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.51/0.72  FOF formula (forall (A2:int) (B2:int) (F:(int->(a->Prop))) (C:(a->Prop)), (((ord_less_int A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_47_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:int) (B2:int) (F:(int->(a->Prop))) (C:(a->Prop)), (((ord_less_int A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.51/0.72  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->int)) (C:int), (((ord_less_set_a A2) B2)->((((eq int) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_48_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->int)) (C:int), (((ord_less_set_a A2) B2)->((((eq int) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.51/0.72  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C:set_a), (((ord_less_set_a A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_49_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C:set_a), (((ord_less_set_a A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.51/0.72  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->(a->Prop))) (C:(a->Prop)), (((ord_less_set_a A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_50_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->(a->Prop))) (C:(a->Prop)), (((ord_less_set_a A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.51/0.72  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->int)) (C:int), (((ord_less_a_o A2) B2)->((((eq int) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_51_ord__less__eq__subst
% 0.51/0.72  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->int)) (C:int), (((ord_less_a_o A2) B2)->((((eq int) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.57/0.74  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->set_a)) (C:set_a), (((ord_less_a_o A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_52_ord__less__eq__subst
% 0.57/0.74  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->set_a)) (C:set_a), (((ord_less_a_o A2) B2)->((((eq set_a) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.57/0.74  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (C:(a->Prop)), (((ord_less_a_o A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_53_ord__less__eq__subst
% 0.57/0.74  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (C:(a->Prop)), (((ord_less_a_o A2) B2)->((((eq (a->Prop)) (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.57/0.74  FOF formula (forall (A2:int) (B2:int) (F:(int->int)) (C:int), (((ord_less_int A2) B2)->((((eq int) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_54_ord__less__eq__subst
% 0.57/0.74  A new axiom: (forall (A2:int) (B2:int) (F:(int->int)) (C:int), (((ord_less_int A2) B2)->((((eq int) (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.57/0.74  FOF formula (forall (A2:int) (F:(set_a->int)) (B2:set_a) (C:set_a), (((ord_less_int A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_55_order__less__subst1
% 0.57/0.74  A new axiom: (forall (A2:int) (F:(set_a->int)) (B2:set_a) (C:set_a), (((ord_less_int A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.57/0.74  FOF formula (forall (A2:int) (F:((a->Prop)->int)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_int A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_56_order__less__subst1
% 0.57/0.74  A new axiom: (forall (A2:int) (F:((a->Prop)->int)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_int A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.57/0.74  FOF formula (forall (A2:set_a) (F:(int->set_a)) (B2:int) (C:int), (((ord_less_set_a A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_57_order__less__subst1
% 0.57/0.74  A new axiom: (forall (A2:set_a) (F:(int->set_a)) (B2:int) (C:int), (((ord_less_set_a A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.57/0.74  FOF formula (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C:set_a), (((ord_less_set_a A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_58_order__less__subst1
% 0.57/0.74  A new axiom: (forall (A2:set_a) (F:(set_a->set_a)) (B2:set_a) (C:set_a), (((ord_less_set_a A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:set_a) (F:((a->Prop)->set_a)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_set_a A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C)))))) of role axiom named fact_59_order__less__subst1
% 0.57/0.76  A new axiom: (forall (A2:set_a) (F:((a->Prop)->set_a)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_set_a A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:(a->Prop)) (F:(int->(a->Prop))) (B2:int) (C:int), (((ord_less_a_o A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_60_order__less__subst1
% 0.57/0.76  A new axiom: (forall (A2:(a->Prop)) (F:(int->(a->Prop))) (B2:int) (C:int), (((ord_less_a_o A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:(a->Prop)) (F:(set_a->(a->Prop))) (B2:set_a) (C:set_a), (((ord_less_a_o A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_61_order__less__subst1
% 0.57/0.76  A new axiom: (forall (A2:(a->Prop)) (F:(set_a->(a->Prop))) (B2:set_a) (C:set_a), (((ord_less_a_o A2) (F B2))->(((ord_less_set_a B2) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C)))))) of role axiom named fact_62_order__less__subst1
% 0.57/0.76  A new axiom: (forall (A2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) (F B2))->(((ord_less_a_o B2) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:int) (F:(int->int)) (B2:int) (C:int), (((ord_less_int A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C)))))) of role axiom named fact_63_order__less__subst1
% 0.57/0.76  A new axiom: (forall (A2:int) (F:(int->int)) (B2:int) (C:int), (((ord_less_int A2) (F B2))->(((ord_less_int B2) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int A2) (F C))))))
% 0.57/0.76  FOF formula (forall (A2:int) (B2:int) (F:(int->set_a)) (C:set_a), (((ord_less_int A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_64_order__less__subst2
% 0.57/0.76  A new axiom: (forall (A2:int) (B2:int) (F:(int->set_a)) (C:set_a), (((ord_less_int A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.57/0.76  FOF formula (forall (A2:int) (B2:int) (F:(int->(a->Prop))) (C:(a->Prop)), (((ord_less_int A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_65_order__less__subst2
% 0.57/0.76  A new axiom: (forall (A2:int) (B2:int) (F:(int->(a->Prop))) (C:(a->Prop)), (((ord_less_int A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.57/0.76  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->int)) (C:int), (((ord_less_set_a A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_66_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->int)) (C:int), (((ord_less_set_a A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_67_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->set_a)) (C:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:set_a) (B2:set_a) (F:(set_a->(a->Prop))) (C:(a->Prop)), (((ord_less_set_a A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_68_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:set_a) (B2:set_a) (F:(set_a->(a->Prop))) (C:(a->Prop)), (((ord_less_set_a A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:set_a) (Y2:set_a), (((ord_less_set_a X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->int)) (C:int), (((ord_less_a_o A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_69_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->int)) (C:int), (((ord_less_a_o A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->set_a)) (C:set_a), (((ord_less_a_o A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C))))) of role axiom named fact_70_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->set_a)) (C:set_a), (((ord_less_a_o A2) B2)->(((ord_less_set_a (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_set_a (F X2)) (F Y2))))->((ord_less_set_a (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (C:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C))))) of role axiom named fact_71_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (F:((a->Prop)->(a->Prop))) (C:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o (F B2)) C)->((forall (X2:(a->Prop)) (Y2:(a->Prop)), (((ord_less_a_o X2) Y2)->((ord_less_a_o (F X2)) (F Y2))))->((ord_less_a_o (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (A2:int) (B2:int) (F:(int->int)) (C:int), (((ord_less_int A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C))))) of role axiom named fact_72_order__less__subst2
% 0.60/0.78  A new axiom: (forall (A2:int) (B2:int) (F:(int->int)) (C:int), (((ord_less_int A2) B2)->(((ord_less_int (F B2)) C)->((forall (X2:int) (Y2:int), (((ord_less_int X2) Y2)->((ord_less_int (F X2)) (F Y2))))->((ord_less_int (F A2)) C)))))
% 0.60/0.78  FOF formula (forall (X3:int), ((ex int) (fun (Y2:int)=> ((ord_less_int Y2) X3)))) of role axiom named fact_73_lt__ex
% 0.60/0.78  A new axiom: (forall (X3:int), ((ex int) (fun (Y2:int)=> ((ord_less_int Y2) X3))))
% 0.60/0.78  FOF formula (forall (X3:int), ((ex int) (fun (X_1:int)=> ((ord_less_int X3) X_1)))) of role axiom named fact_74_gt__ex
% 0.60/0.79  A new axiom: (forall (X3:int), ((ex int) (fun (X_1:int)=> ((ord_less_int X3) X_1))))
% 0.60/0.79  FOF formula (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2))) of role axiom named fact_75_mem__Collect__eq
% 0.60/0.79  A new axiom: (forall (A2:a) (P:(a->Prop)), (((eq Prop) ((member_a A2) (collect_a P))) (P A2)))
% 0.60/0.79  FOF formula (forall (A3:set_a), (((eq set_a) (collect_a (fun (X4:a)=> ((member_a X4) A3)))) A3)) of role axiom named fact_76_Collect__mem__eq
% 0.60/0.79  A new axiom: (forall (A3:set_a), (((eq set_a) (collect_a (fun (X4:a)=> ((member_a X4) A3)))) A3))
% 0.60/0.79  FOF formula (forall (P:(a->Prop)) (Q:(a->Prop)), ((forall (X2:a), (((eq Prop) (P X2)) (Q X2)))->(((eq set_a) (collect_a P)) (collect_a Q)))) of role axiom named fact_77_Collect__cong
% 0.60/0.79  A new axiom: (forall (P:(a->Prop)) (Q:(a->Prop)), ((forall (X2:a), (((eq Prop) (P X2)) (Q X2)))->(((eq set_a) (collect_a P)) (collect_a Q))))
% 0.60/0.79  FOF formula (forall (X3:int) (Y:int), ((not (((eq int) X3) Y))->((((ord_less_int X3) Y)->False)->((ord_less_int Y) X3)))) of role axiom named fact_78_neqE
% 0.60/0.79  A new axiom: (forall (X3:int) (Y:int), ((not (((eq int) X3) Y))->((((ord_less_int X3) Y)->False)->((ord_less_int Y) X3))))
% 0.60/0.79  FOF formula (forall (X3:int) (Y:int), (((eq Prop) (not (((eq int) X3) Y))) ((or ((ord_less_int X3) Y)) ((ord_less_int Y) X3)))) of role axiom named fact_79_neq__iff
% 0.60/0.79  A new axiom: (forall (X3:int) (Y:int), (((eq Prop) (not (((eq int) X3) Y))) ((or ((ord_less_int X3) Y)) ((ord_less_int Y) X3))))
% 0.60/0.79  FOF formula (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) A2)->False))) of role axiom named fact_80_order_Oasym
% 0.60/0.79  A new axiom: (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) A2)->False)))
% 0.60/0.79  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) A2)->False))) of role axiom named fact_81_order_Oasym
% 0.60/0.79  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) A2)->False)))
% 0.60/0.79  FOF formula (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(((ord_less_int B2) A2)->False))) of role axiom named fact_82_order_Oasym
% 0.60/0.79  A new axiom: (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(((ord_less_int B2) A2)->False)))
% 0.60/0.79  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) X3) Y)))) of role axiom named fact_83_less__imp__neq
% 0.60/0.79  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) X3) Y))))
% 0.60/0.79  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) X3) Y)))) of role axiom named fact_84_less__imp__neq
% 0.60/0.79  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) X3) Y))))
% 0.60/0.79  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) X3) Y)))) of role axiom named fact_85_less__imp__neq
% 0.60/0.79  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) X3) Y))))
% 0.60/0.79  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False))) of role axiom named fact_86_less__asym
% 0.60/0.79  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False)))
% 0.60/0.79  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False))) of role axiom named fact_87_less__asym
% 0.60/0.79  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False)))
% 0.60/0.79  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False))) of role axiom named fact_88_less__asym
% 0.60/0.79  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False)))
% 0.60/0.79  FOF formula (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) A2)->False))) of role axiom named fact_89_less__asym_H
% 0.60/0.79  A new axiom: (forall (A2:set_a) (B2:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) A2)->False)))
% 0.60/0.79  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) A2)->False))) of role axiom named fact_90_less__asym_H
% 0.60/0.79  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) A2)->False)))
% 0.60/0.81  FOF formula (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(((ord_less_int B2) A2)->False))) of role axiom named fact_91_less__asym_H
% 0.60/0.81  A new axiom: (forall (A2:int) (B2:int), (((ord_less_int A2) B2)->(((ord_less_int B2) A2)->False)))
% 0.60/0.81  FOF formula (forall (X3:set_a) (Y:set_a) (Z3:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) Z3)->((ord_less_set_a X3) Z3)))) of role axiom named fact_92_less__trans
% 0.60/0.81  A new axiom: (forall (X3:set_a) (Y:set_a) (Z3:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) Z3)->((ord_less_set_a X3) Z3))))
% 0.60/0.81  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)) (Z3:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) Z3)->((ord_less_a_o X3) Z3)))) of role axiom named fact_93_less__trans
% 0.60/0.81  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)) (Z3:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) Z3)->((ord_less_a_o X3) Z3))))
% 0.60/0.81  FOF formula (forall (X3:int) (Y:int) (Z3:int), (((ord_less_int X3) Y)->(((ord_less_int Y) Z3)->((ord_less_int X3) Z3)))) of role axiom named fact_94_less__trans
% 0.60/0.81  A new axiom: (forall (X3:int) (Y:int) (Z3:int), (((ord_less_int X3) Y)->(((ord_less_int Y) Z3)->((ord_less_int X3) Z3))))
% 0.60/0.81  FOF formula (forall (X3:int) (Y:int), ((or ((or ((ord_less_int X3) Y)) (((eq int) X3) Y))) ((ord_less_int Y) X3))) of role axiom named fact_95_less__linear
% 0.60/0.81  A new axiom: (forall (X3:int) (Y:int), ((or ((or ((ord_less_int X3) Y)) (((eq int) X3) Y))) ((ord_less_int Y) X3)))
% 0.60/0.81  FOF formula (forall (X3:set_a), (((ord_less_set_a X3) X3)->False)) of role axiom named fact_96_less__irrefl
% 0.60/0.81  A new axiom: (forall (X3:set_a), (((ord_less_set_a X3) X3)->False))
% 0.60/0.81  FOF formula (forall (X3:(a->Prop)), (((ord_less_a_o X3) X3)->False)) of role axiom named fact_97_less__irrefl
% 0.60/0.81  A new axiom: (forall (X3:(a->Prop)), (((ord_less_a_o X3) X3)->False))
% 0.60/0.81  FOF formula (forall (X3:int), (((ord_less_int X3) X3)->False)) of role axiom named fact_98_less__irrefl
% 0.60/0.81  A new axiom: (forall (X3:int), (((ord_less_int X3) X3)->False))
% 0.60/0.81  FOF formula (forall (A2:set_a) (B2:set_a) (C:set_a), ((((eq set_a) A2) B2)->(((ord_less_set_a B2) C)->((ord_less_set_a A2) C)))) of role axiom named fact_99_ord__eq__less__trans
% 0.60/0.81  A new axiom: (forall (A2:set_a) (B2:set_a) (C:set_a), ((((eq set_a) A2) B2)->(((ord_less_set_a B2) C)->((ord_less_set_a A2) C))))
% 0.60/0.81  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq (a->Prop)) A2) B2)->(((ord_less_a_o B2) C)->((ord_less_a_o A2) C)))) of role axiom named fact_100_ord__eq__less__trans
% 0.60/0.81  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), ((((eq (a->Prop)) A2) B2)->(((ord_less_a_o B2) C)->((ord_less_a_o A2) C))))
% 0.60/0.81  FOF formula (forall (A2:int) (B2:int) (C:int), ((((eq int) A2) B2)->(((ord_less_int B2) C)->((ord_less_int A2) C)))) of role axiom named fact_101_ord__eq__less__trans
% 0.60/0.81  A new axiom: (forall (A2:int) (B2:int) (C:int), ((((eq int) A2) B2)->(((ord_less_int B2) C)->((ord_less_int A2) C))))
% 0.60/0.81  FOF formula (forall (A2:set_a) (B2:set_a) (C:set_a), (((ord_less_set_a A2) B2)->((((eq set_a) B2) C)->((ord_less_set_a A2) C)))) of role axiom named fact_102_ord__less__eq__trans
% 0.60/0.81  A new axiom: (forall (A2:set_a) (B2:set_a) (C:set_a), (((ord_less_set_a A2) B2)->((((eq set_a) B2) C)->((ord_less_set_a A2) C))))
% 0.60/0.81  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) B2)->((((eq (a->Prop)) B2) C)->((ord_less_a_o A2) C)))) of role axiom named fact_103_ord__less__eq__trans
% 0.60/0.81  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) B2)->((((eq (a->Prop)) B2) C)->((ord_less_a_o A2) C))))
% 0.60/0.81  FOF formula (forall (A2:int) (B2:int) (C:int), (((ord_less_int A2) B2)->((((eq int) B2) C)->((ord_less_int A2) C)))) of role axiom named fact_104_ord__less__eq__trans
% 0.60/0.81  A new axiom: (forall (A2:int) (B2:int) (C:int), (((ord_less_int A2) B2)->((((eq int) B2) C)->((ord_less_int A2) C))))
% 0.60/0.81  FOF formula (forall (B2:set_a) (A2:set_a), (((ord_less_set_a B2) A2)->(((ord_less_set_a A2) B2)->False))) of role axiom named fact_105_dual__order_Oasym
% 0.60/0.81  A new axiom: (forall (B2:set_a) (A2:set_a), (((ord_less_set_a B2) A2)->(((ord_less_set_a A2) B2)->False)))
% 0.60/0.82  FOF formula (forall (B2:(a->Prop)) (A2:(a->Prop)), (((ord_less_a_o B2) A2)->(((ord_less_a_o A2) B2)->False))) of role axiom named fact_106_dual__order_Oasym
% 0.60/0.82  A new axiom: (forall (B2:(a->Prop)) (A2:(a->Prop)), (((ord_less_a_o B2) A2)->(((ord_less_a_o A2) B2)->False)))
% 0.60/0.82  FOF formula (forall (B2:int) (A2:int), (((ord_less_int B2) A2)->(((ord_less_int A2) B2)->False))) of role axiom named fact_107_dual__order_Oasym
% 0.60/0.82  A new axiom: (forall (B2:int) (A2:int), (((ord_less_int B2) A2)->(((ord_less_int A2) B2)->False)))
% 0.60/0.82  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) X3) Y)))) of role axiom named fact_108_less__imp__not__eq
% 0.60/0.82  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) X3) Y))))
% 0.60/0.82  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) X3) Y)))) of role axiom named fact_109_less__imp__not__eq
% 0.60/0.82  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) X3) Y))))
% 0.60/0.82  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) X3) Y)))) of role axiom named fact_110_less__imp__not__eq
% 0.60/0.82  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) X3) Y))))
% 0.60/0.82  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False))) of role axiom named fact_111_less__not__sym
% 0.60/0.82  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False)))
% 0.60/0.82  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False))) of role axiom named fact_112_less__not__sym
% 0.60/0.82  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False)))
% 0.60/0.82  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False))) of role axiom named fact_113_less__not__sym
% 0.60/0.82  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False)))
% 0.60/0.82  FOF formula (forall (Y:int) (X3:int), ((((ord_less_int Y) X3)->False)->(((eq Prop) (((ord_less_int X3) Y)->False)) (((eq int) X3) Y)))) of role axiom named fact_114_antisym__conv3
% 0.60/0.82  A new axiom: (forall (Y:int) (X3:int), ((((ord_less_int Y) X3)->False)->(((eq Prop) (((ord_less_int X3) Y)->False)) (((eq int) X3) Y))))
% 0.60/0.82  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) Y) X3)))) of role axiom named fact_115_less__imp__not__eq2
% 0.60/0.82  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(not (((eq set_a) Y) X3))))
% 0.60/0.82  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) Y) X3)))) of role axiom named fact_116_less__imp__not__eq2
% 0.60/0.82  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(not (((eq (a->Prop)) Y) X3))))
% 0.60/0.82  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) Y) X3)))) of role axiom named fact_117_less__imp__not__eq2
% 0.60/0.82  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(not (((eq int) Y) X3))))
% 0.60/0.82  FOF formula (forall (X3:set_a) (Y:set_a) (P:Prop), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->P))) of role axiom named fact_118_less__imp__triv
% 0.60/0.82  A new axiom: (forall (X3:set_a) (Y:set_a) (P:Prop), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->P)))
% 0.60/0.82  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)) (P:Prop), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->P))) of role axiom named fact_119_less__imp__triv
% 0.60/0.82  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)) (P:Prop), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->P)))
% 0.60/0.82  FOF formula (forall (X3:int) (Y:int) (P:Prop), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->P))) of role axiom named fact_120_less__imp__triv
% 0.60/0.82  A new axiom: (forall (X3:int) (Y:int) (P:Prop), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->P)))
% 0.60/0.82  FOF formula (forall (X3:int) (Y:int), ((((ord_less_int X3) Y)->False)->((not (((eq int) X3) Y))->((ord_less_int Y) X3)))) of role axiom named fact_121_linorder__cases
% 0.60/0.82  A new axiom: (forall (X3:int) (Y:int), ((((ord_less_int X3) Y)->False)->((not (((eq int) X3) Y))->((ord_less_int Y) X3))))
% 0.67/0.83  FOF formula (forall (A2:set_a), (((ord_less_set_a A2) A2)->False)) of role axiom named fact_122_dual__order_Oirrefl
% 0.67/0.83  A new axiom: (forall (A2:set_a), (((ord_less_set_a A2) A2)->False))
% 0.67/0.83  FOF formula (forall (A2:(a->Prop)), (((ord_less_a_o A2) A2)->False)) of role axiom named fact_123_dual__order_Oirrefl
% 0.67/0.83  A new axiom: (forall (A2:(a->Prop)), (((ord_less_a_o A2) A2)->False))
% 0.67/0.83  FOF formula (forall (A2:int), (((ord_less_int A2) A2)->False)) of role axiom named fact_124_dual__order_Oirrefl
% 0.67/0.83  A new axiom: (forall (A2:int), (((ord_less_int A2) A2)->False))
% 0.67/0.83  FOF formula (forall (A2:set_a) (B2:set_a) (C:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) C)->((ord_less_set_a A2) C)))) of role axiom named fact_125_order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (A2:set_a) (B2:set_a) (C:set_a), (((ord_less_set_a A2) B2)->(((ord_less_set_a B2) C)->((ord_less_set_a A2) C))))
% 0.67/0.83  FOF formula (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) C)->((ord_less_a_o A2) C)))) of role axiom named fact_126_order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (A2:(a->Prop)) (B2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o A2) B2)->(((ord_less_a_o B2) C)->((ord_less_a_o A2) C))))
% 0.67/0.83  FOF formula (forall (A2:int) (B2:int) (C:int), (((ord_less_int A2) B2)->(((ord_less_int B2) C)->((ord_less_int A2) C)))) of role axiom named fact_127_order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (A2:int) (B2:int) (C:int), (((ord_less_int A2) B2)->(((ord_less_int B2) C)->((ord_less_int A2) C))))
% 0.67/0.83  FOF formula (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False))) of role axiom named fact_128_less__imp__not__less
% 0.67/0.83  A new axiom: (forall (X3:set_a) (Y:set_a), (((ord_less_set_a X3) Y)->(((ord_less_set_a Y) X3)->False)))
% 0.67/0.83  FOF formula (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False))) of role axiom named fact_129_less__imp__not__less
% 0.67/0.83  A new axiom: (forall (X3:(a->Prop)) (Y:(a->Prop)), (((ord_less_a_o X3) Y)->(((ord_less_a_o Y) X3)->False)))
% 0.67/0.83  FOF formula (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False))) of role axiom named fact_130_less__imp__not__less
% 0.67/0.83  A new axiom: (forall (X3:int) (Y:int), (((ord_less_int X3) Y)->(((ord_less_int Y) X3)->False)))
% 0.67/0.83  FOF formula (forall (P:(int->(int->Prop))) (A2:int) (B2:int), ((forall (A4:int) (B3:int), (((ord_less_int A4) B3)->((P A4) B3)))->((forall (A4:int), ((P A4) A4))->((forall (A4:int) (B3:int), (((P B3) A4)->((P A4) B3)))->((P A2) B2))))) of role axiom named fact_131_linorder__less__wlog
% 0.67/0.83  A new axiom: (forall (P:(int->(int->Prop))) (A2:int) (B2:int), ((forall (A4:int) (B3:int), (((ord_less_int A4) B3)->((P A4) B3)))->((forall (A4:int), ((P A4) A4))->((forall (A4:int) (B3:int), (((P B3) A4)->((P A4) B3)))->((P A2) B2)))))
% 0.67/0.83  FOF formula (forall (B2:set_a) (A2:set_a) (C:set_a), (((ord_less_set_a B2) A2)->(((ord_less_set_a C) B2)->((ord_less_set_a C) A2)))) of role axiom named fact_132_dual__order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (B2:set_a) (A2:set_a) (C:set_a), (((ord_less_set_a B2) A2)->(((ord_less_set_a C) B2)->((ord_less_set_a C) A2))))
% 0.67/0.83  FOF formula (forall (B2:(a->Prop)) (A2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o B2) A2)->(((ord_less_a_o C) B2)->((ord_less_a_o C) A2)))) of role axiom named fact_133_dual__order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (B2:(a->Prop)) (A2:(a->Prop)) (C:(a->Prop)), (((ord_less_a_o B2) A2)->(((ord_less_a_o C) B2)->((ord_less_a_o C) A2))))
% 0.67/0.83  FOF formula (forall (B2:int) (A2:int) (C:int), (((ord_less_int B2) A2)->(((ord_less_int C) B2)->((ord_less_int C) A2)))) of role axiom named fact_134_dual__order_Ostrict__trans
% 0.67/0.83  A new axiom: (forall (B2:int) (A2:int) (C:int), (((ord_less_int B2) A2)->(((ord_less_int C) B2)->((ord_less_int C) A2))))
% 0.67/0.83  FOF formula (forall (X3:int) (Y:int), (((eq Prop) (((ord_less_int X3) Y)->False)) ((or ((ord_less_int Y) X3)) (((eq int) X3) Y)))) of role axiom named fact_135_not__less__iff__gr__or__eq
% 0.67/0.83  A new axiom: (forall (X3:int) (Y:int), (((eq Prop) (((ord_less_int X3) Y)->False)) ((or ((ord_less_int Y) X3)) (((eq int) X3) Y))))
% 0.67/0.83  FOF formula (forall (H:(a->int)) (E:a), (((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) binary476621312_Tip_a)) (((binary717961607le_T_a binary476621312_Tip_a) E) binary476621312_Tip_a))) of role axiom named fact_136_binsert_Osimps_I1_J
% 0.67/0.84  A new axiom: (forall (H:(a->int)) (E:a), (((eq binary1439146945Tree_a) (((binary1226383794sert_a H) E) binary476621312_Tip_a)) (((binary717961607le_T_a binary476621312_Tip_a) E) binary476621312_Tip_a)))
% 0.67/0.84  FOF formula (forall (A2:set_a), (((ord_less_set_a A2) A2)->False)) of role axiom named fact_137_verit__comp__simplify1_I1_J
% 0.67/0.84  A new axiom: (forall (A2:set_a), (((ord_less_set_a A2) A2)->False))
% 0.67/0.84  FOF formula (forall (A2:(a->Prop)), (((ord_less_a_o A2) A2)->False)) of role axiom named fact_138_verit__comp__simplify1_I1_J
% 0.67/0.84  A new axiom: (forall (A2:(a->Prop)), (((ord_less_a_o A2) A2)->False))
% 0.67/0.84  FOF formula (forall (A2:int), (((ord_less_int A2) A2)->False)) of role axiom named fact_139_verit__comp__simplify1_I1_J
% 0.67/0.84  A new axiom: (forall (A2:int), (((ord_less_int A2) A2)->False))
% 0.67/0.84  FOF formula (((eq set_a) (binary945792244etOf_a (((binary1226383794sert_a h) e) t2))) ((sup_sup_set_a ((minus_minus_set_a (binary945792244etOf_a t2)) ((binary504661350_eqs_a h) e))) ((insert_a e) bot_bot_set_a))) of role axiom named fact_140_c2
% 0.67/0.84  A new axiom: (((eq set_a) (binary945792244etOf_a (((binary1226383794sert_a h) e) t2))) ((sup_sup_set_a ((minus_minus_set_a (binary945792244etOf_a t2)) ((binary504661350_eqs_a h) e))) ((insert_a e) bot_bot_set_a)))
% 0.67/0.84  FOF formula (((eq set_a) (binary945792244etOf_a (((binary1226383794sert_a h) e) t1))) ((sup_sup_set_a ((minus_minus_set_a (binary945792244etOf_a t1)) ((binary504661350_eqs_a h) e))) ((insert_a e) bot_bot_set_a))) of role axiom named fact_141_c1
% 0.67/0.84  A new axiom: (((eq set_a) (binary945792244etOf_a (((binary1226383794sert_a h) e) t1))) ((sup_sup_set_a ((minus_minus_set_a (binary945792244etOf_a t1)) ((binary504661350_eqs_a h) e))) ((insert_a e) bot_bot_set_a)))
% 0.67/0.84  FOF formula (forall (P:(a->Prop)) (A2:binary1439146945Tree_a) (Aa:a) (Ab:binary1439146945Tree_a), (((eq Prop) ((binary1452917696Tree_a P) (((binary717961607le_T_a A2) Aa) Ab))) ((and ((and ((binary1452917696Tree_a P) A2)) (P Aa))) ((binary1452917696Tree_a P) Ab)))) of role axiom named fact_142_Tree_Opred__inject_I2_J
% 0.67/0.84  A new axiom: (forall (P:(a->Prop)) (A2:binary1439146945Tree_a) (Aa:a) (Ab:binary1439146945Tree_a), (((eq Prop) ((binary1452917696Tree_a P) (((binary717961607le_T_a A2) Aa) Ab))) ((and ((and ((binary1452917696Tree_a P) A2)) (P Aa))) ((binary1452917696Tree_a P) Ab))))
% 0.67/0.84  FOF formula (((eq (a->Prop)) bot_bot_a_o) (fun (X4:a)=> bot_bot_o)) of role axiom named fact_143_bot__apply
% 0.67/0.84  A new axiom: (((eq (a->Prop)) bot_bot_a_o) (fun (X4:a)=> bot_bot_o))
% 0.67/0.84  FOF formula (((eq (a->Prop)) bot_bot_a_o) (fun (X4:a)=> bot_bot_o)) of role axiom named fact_144_bot__fun__def
% 0.67/0.84  A new axiom: (((eq (a->Prop)) bot_bot_a_o) (fun (X4:a)=> bot_bot_o))
% 0.67/0.84  FOF formula (forall (P:(a->Prop)), ((binary1452917696Tree_a P) binary476621312_Tip_a)) of role axiom named fact_145_Tree_Opred__inject_I1_J
% 0.67/0.84  A new axiom: (forall (P:(a->Prop)), ((binary1452917696Tree_a P) binary476621312_Tip_a))
% 0.67/0.84  FOF formula (forall (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((eq set_a) (binary945792244etOf_a (((binary717961607le_T_a T1) X3) T2))) ((sup_sup_set_a ((sup_sup_set_a (binary945792244etOf_a T1)) (binary945792244etOf_a T2))) ((insert_a X3) bot_bot_set_a)))) of role axiom named fact_146_setOf_Osimps_I2_J
% 0.67/0.84  A new axiom: (forall (T1:binary1439146945Tree_a) (X3:a) (T2:binary1439146945Tree_a), (((eq set_a) (binary945792244etOf_a (((binary717961607le_T_a T1) X3) T2))) ((sup_sup_set_a ((sup_sup_set_a (binary945792244etOf_a T1)) (binary945792244etOf_a T2))) ((insert_a X3) bot_bot_set_a))))
% 0.67/0.84  FOF formula (((eq set_a) (binary945792244etOf_a binary476621312_Tip_a)) bot_bot_set_a) of role axiom named fact_147_setOf_Osimps_I1_J
% 0.67/0.84  A new axiom: (((eq set_a) (binary945792244etOf_a binary476621312_Tip_a)) bot_bot_set_a)
% 0.67/0.84  FOF formula (forall (A2:(a->Prop)), (((eq Prop) (not (((eq (a->Prop)) A2) bot_bot_a_o))) ((ord_less_a_o bot_bot_a_o) A2))) of role axiom named fact_148_bot_Onot__eq__extremum
% 0.67/0.84  A new axiom: (forall (A2:(a->Prop)), (((eq Prop) (not (((eq (a->Prop)) A2) bot_bot_a_o))) ((ord_less_a_o bot_bot_a_o) A2)))
% 0.67/0.84  FOF formula (forall (A2:set_a), (((eq Prop) (not (((eq set_a) A2) bot_bot_set_a))) ((ord_less_set_a bot_bot_set_a) A2))) of role axiom named fact_149_bot_Onot__eq__extremum
% 0.67/0.84  A new axiom: (forall (A2:set_a), (((eq Prop) (not (((eq set_a) A2) bot_bot_set_a))) ((ord_less_set_a bot_bot_set_a) A2)))
% 0.67/0.84  FOF formula (forall (A2:(a->Prop)), (((ord_less_a_o A2) bot_bot_a_o)->False)) of role axiom named fact_150_bot_Oextremum__strict
% 0.67/0.84  A new axiom: (forall (A2:(a->Prop)), (((ord_less_a_o A2) bot_bot_a_o)->False))
% 0.67/0.84  FOF formula (forall (A2:set_a), (((ord_less_set_a A2) bot_bot_set_a)->False)) of role axiom named fact_151_bot_Oextremum__strict
% 0.67/0.84  A new axiom: (forall (A2:set_a), (((ord_less_set_a A2) bot_bot_set_a)->False))
% 0.67/0.84  FOF formula (forall (X21:binary1439146945Tree_a) (X22:a) (X23:binary1439146945Tree_a), (not (((eq binary1439146945Tree_a) binary476621312_Tip_a) (((binary717961607le_T_a X21) X22) X23)))) of role axiom named fact_152_Tree_Odistinct_I1_J
% 0.67/0.84  A new axiom: (forall (X21:binary1439146945Tree_a) (X22:a) (X23:binary1439146945Tree_a), (not (((eq binary1439146945Tree_a) binary476621312_Tip_a) (((binary717961607le_T_a X21) X22) X23))))
% 0.67/0.84  FOF formula (forall (P:(binary1439146945Tree_a->Prop)) (Tree:binary1439146945Tree_a), ((P binary476621312_Tip_a)->((forall (X1:binary1439146945Tree_a) (X24:a) (X32:binary1439146945Tree_a), ((P X1)->((P X32)->(P (((binary717961607le_T_a X1) X24) X32)))))->(P Tree)))) of role axiom named fact_153_Tree_Oinduct
% 0.67/0.84  A new axiom: (forall (P:(binary1439146945Tree_a->Prop)) (Tree:binary1439146945Tree_a), ((P binary476621312_Tip_a)->((forall (X1:binary1439146945Tree_a) (X24:a) (X32:binary1439146945Tree_a), ((P X1)->((P X32)->(P (((binary717961607le_T_a X1) X24) X32)))))->(P Tree))))
% 0.67/0.84  <<<m,(
% 0.67/0.84      ! [Y: binary1439146945Tree_a] :
% 0.67/0.84        ( ( Y != binary476621312_Tip_a )
% 0.67/0.84       => ~ !>>>!!!<<< [X212: binary1439146945Tree_a,X222: a,X232: binary1439146945Tree_a] :
% 0.67/0.84              ( Y
% 0.67/0.84     >>>
% 0.67/0.84  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, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.67/0.84  symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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',1,43412), LexToken(LPAR,'(',1,43415), name, LexToken(COMMA,',',1,43438), formula_role, LexToken(COMMA,',',1,43444), LexToken(LPAR,'(',1,43445), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,43453), thf_variable_list, LexToken(RBRACKET,']',1,43479), LexToken(COLON,':',1,43481), LexToken(LPAR,'(',1,43489), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.67/0.84  Unexpected exception Syntax error at '!':BANG
% 0.67/0.84  Traceback (most recent call last):
% 0.67/0.84    File "CASC.py", line 79, in <module>
% 0.67/0.84      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.67/0.84    File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.67/0.84      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.67/0.84    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.67/0.84      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.67/0.84    File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.67/0.84      tok = self.errorfunc(errtoken)
% 0.67/0.84    File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.67/0.84      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.67/0.84  TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------