TSTP Solution File: SCT027-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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
% WCLimit : 300s
% DateTime : Thu Aug 31 14:09:54 EDT 2023
% Result : Unsatisfiable 0.87s 1.03s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 16:41:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.53 start to proof:theBenchmark
% 0.81/0.98 %-------------------------------------------
% 0.81/0.98 % File :CSE---1.6
% 0.81/0.98 % Problem :theBenchmark
% 0.81/0.98 % Transform :cnf
% 0.81/0.98 % Format :tptp:raw
% 0.81/0.98 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.98
% 0.81/0.98 % Result :Theorem 0.110000s
% 0.81/0.98 % Output :CNFRefutation 0.110000s
% 0.81/0.98 %-------------------------------------------
% 0.81/0.98 %------------------------------------------------------------------------------
% 0.81/0.98 % File : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 0.81/0.98 % Domain : Social Choice Theory
% 0.81/0.98 % Problem : Arrow Order 148_4
% 0.81/0.98 % Version : Especial.
% 0.81/0.98 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 0.81/0.98 % formalization is based on utility functions, the other one on
% 0.81/0.98 % strict partial orders.
% 0.81/0.98
% 0.81/0.98 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 0.81/0.98 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.81/0.98 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.81/0.98 % Source : [Nip10]
% 0.81/0.98 % Names : Arrow_Order-148_42 [Nip10]
% 0.81/0.98
% 0.81/0.98 % Status : Unsatisfiable
% 0.81/0.98 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0
% 0.81/0.98 % Syntax : Number of clauses : 701 ( 160 unt; 118 nHn; 355 RR)
% 0.81/0.98 % Number of literals : 1716 ( 430 equ; 869 neg)
% 0.81/0.98 % Maximal clause size : 7 ( 2 avg)
% 0.81/0.98 % Maximal term depth : 7 ( 2 avg)
% 0.81/0.98 % Number of predicates : 28 ( 27 usr; 1 prp; 0-9 aty)
% 0.81/0.98 % Number of functors : 66 ( 66 usr; 7 con; 0-5 aty)
% 0.81/0.98 % Number of variables : 2669 ( 320 sgn)
% 0.81/0.98 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.81/0.98
% 0.81/0.98 % Comments :
% 0.81/0.98 %------------------------------------------------------------------------------
% 0.81/0.98 cnf(cls_le__supE_1,axiom,
% 0.81/0.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.98 | c_lessequals(V_b,V_x,T_a)
% 0.81/0.98 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.81/0.98
% 0.81/0.98 cnf(cls_le__supI1_0,axiom,
% 0.81/0.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.98 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.81/0.98 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.81/0.98
% 0.81/0.98 cnf(cls_le__supI2_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__sup__iff_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_x,V_z,T_a)
% 0.81/0.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__sup__iff_1,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_y,V_z,T_a)
% 0.81/0.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_image__image_0,axiom,
% 0.81/0.99 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.81/0.99 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__Int__distrib_0,axiom,
% 0.81/0.99 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Int__subset__iff_2,axiom,
% 0.81/0.99 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Int__greatest_0,axiom,
% 0.81/0.99 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Int__lower2_0,axiom,
% 0.81/0.99 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Int__lower1_0,axiom,
% 0.81/0.99 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__le1_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.81/0.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__le2_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.81/0.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__infI_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_b,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__inf__iff_2,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_z,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__greatest_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.81/0.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_z,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olattice(T_a)
% 0.81/0.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olattice(T_a)
% 0.81/0.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__mono_0,axiom,
% 0.81/0.99 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_subset__empty_1,axiom,
% 0.81/0.99 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_subset__empty_0,axiom,
% 0.81/0.99 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__idem__iff_1,axiom,
% 0.81/0.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__apply_0,axiom,
% 0.81/0.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__triv_0,axiom,
% 0.81/0.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__same_0,axiom,
% 0.81/0.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__idem_0,axiom,
% 0.81/0.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_subset__Un__eq_1,axiom,
% 0.81/0.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.81/0.99 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__absorb2_0,axiom,
% 0.81/0.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.81/0.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__absorb1_0,axiom,
% 0.81/0.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.81/0.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__iff__sup_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_le__iff__sup_1,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.81/0.99 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__absorb1_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.81/0.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_order__less__imp__le_0,axiom,
% 0.81/0.99 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.99 | c_lessequals(V_x,V_y,T_a)
% 0.81/0.99 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_order__le__less_1,axiom,
% 0.81/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.99 | c_lessequals(V_x,V_y,T_a)
% 0.81/0.99 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_less__fun__def_0,axiom,
% 0.81/0.99 ( ~ class_HOL_Oord(T_b)
% 0.81/0.99 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 0.81/0.99 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_psubset__eq_0,axiom,
% 0.81/0.99 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_inf__sup__absorb_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olattice(T_a)
% 0.81/0.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_order__antisym__conv_0,axiom,
% 0.81/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.99 | V_x = V_y
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a)
% 0.81/0.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_order__antisym_0,axiom,
% 0.81/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.99 | V_x = V_y
% 0.81/0.99 | ~ c_lessequals(V_y,V_x,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_order__eq__iff_2,axiom,
% 0.81/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.99 | V_x = V_y
% 0.81/0.99 | ~ c_lessequals(V_y,V_x,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_set__eq__subset_2,axiom,
% 0.81/0.99 ( V_A = V_B
% 0.81/0.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_equalityI_0,axiom,
% 0.81/0.99 ( V_A = V_B
% 0.81/0.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__inf__absorb_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_less__fun__def_2,axiom,
% 0.81/0.99 ( ~ class_HOL_Oord(T_b)
% 0.81/0.99 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 0.81/0.99 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 0.81/0.99 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_less__le__not__le_2,axiom,
% 0.81/0.99 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.99 | c_lessequals(V_y,V_x,T_a)
% 0.81/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_distrib__sup__le_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Olattice(T_a)
% 0.81/0.99 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Diff__mono_0,axiom,
% 0.81/0.99 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.81/0.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_fun__upd__upd_0,axiom,
% 0.81/0.99 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__empty__right_0,axiom,
% 0.81/0.99 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_Un__empty__left_0,axiom,
% 0.81/0.99 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__bot__left_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup__bot__right_0,axiom,
% 0.81/0.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.81/0.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup1CI_1,axiom,
% 0.81/0.99 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.81/0.99 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup1CI_0,axiom,
% 0.81/0.99 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.81/0.99 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.81/0.99
% 0.81/0.99 cnf(cls_sup1E_0,axiom,
% 0.81/0.99 ( hBOOL(hAPP(V_B,V_x))
% 0.81/0.99 | hBOOL(hAPP(V_A,V_x))
% 0.81/1.00 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_fun__upd__twist_0,axiom,
% 0.81/1.00 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
% 0.81/1.00 | V_a = V_c ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.81/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.81/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/1.00 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Image__Int__subset_0,axiom,
% 0.81/1.00 c_lessequals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_empty__fold__graphE_0,axiom,
% 0.81/1.00 ( V_x = V_z
% 0.81/1.00 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insertI_0,axiom,
% 0.81/1.00 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Image__empty_0,axiom,
% 0.81/1.00 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_bot__least_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Obot(T_a)
% 0.81/1.00 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_empty__subsetI_0,axiom,
% 0.81/1.00 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.81/1.00 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.81/1.00 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Compl__anti__mono_0,axiom,
% 0.81/1.00 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_le__imp__neg__le_0,axiom,
% 0.81/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/1.00 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.81/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_neg__le__iff__le_0,axiom,
% 0.81/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/1.00 | c_lessequals(V_a,V_b,T_a)
% 0.81/1.00 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__insert__right_0,axiom,
% 0.81/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__insert__left_0,axiom,
% 0.81/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insertI2_0,axiom,
% 0.81/1.00 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_insert__subset_1,axiom,
% 0.81/1.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.81/1.00 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Int__Un__distrib_0,axiom,
% 0.81/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.81/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.81/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.81/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.81/1.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__absorb_0,axiom,
% 0.81/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_sup__idem_0,axiom,
% 0.81/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Image__Un_0,axiom,
% 0.81/1.00 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Image__subset__eq_1,axiom,
% 0.81/1.00 ( c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Image__subset__eq_0,axiom,
% 0.81/1.00 ( c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool))
% 0.81/1.00 | ~ c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_COMBB__def_0,axiom,
% 0.81/1.00 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_not__leE_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/1.00 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_le__supE_0,axiom,
% 0.81/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.81/1.00 | c_lessequals(V_a,V_x,T_a)
% 0.81/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__subset__iff_0,axiom,
% 0.81/1.00 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__subset__iff_1,axiom,
% 0.81/1.00 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_xt1_I6_J_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_lessequals(V_z,V_x,T_a)
% 0.81/1.00 | ~ c_lessequals(V_z,V_y,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_xt1_I7_J_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.81/1.00 | ~ c_lessequals(V_z,V_y,T_a)
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_xt1_I8_J_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__trans_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/1.00 | c_lessequals(V_x,V_z,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y,V_z,T_a)
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_equalityE_0,axiom,
% 0.81/1.00 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__refl_0,axiom,
% 0.81/1.00 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__trans_0,axiom,
% 0.81/1.00 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__inj__on_0,axiom,
% 0.81/1.00 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_predicate1D_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(V_Q,V_x))
% 0.81/1.00 | ~ hBOOL(hAPP(V_P,V_x))
% 0.81/1.00 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__eq__iff_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__eq__refl_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/1.00 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_psubset__subset__trans_0,axiom,
% 0.81/1.00 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__psubset__trans_0,axiom,
% 0.81/1.00 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_rev__predicate1D_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(V_Q,V_x))
% 0.81/1.00 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__le__less__trans_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__less__le__trans_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y,V_z,T_a)
% 0.81/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Int__mono_0,axiom,
% 0.81/1.00 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_UN__Un_0,axiom,
% 0.81/1.00 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_fun__upd__apply_1,axiom,
% 0.81/1.00 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 0.81/1.00 | V_z = V_x ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_fun__upd__other_0,axiom,
% 0.81/1.00 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 0.81/1.00 | V_z = V_x ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_double__diff_0,axiom,
% 0.81/1.00 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.81/1.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_le__eqI_0,axiom,
% 0.81/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/1.00 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.81/1.00 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_le__eqI_1,axiom,
% 0.81/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/1.00 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.81/1.00 | c_lessequals(V_y,V_x,T_a)
% 0.81/1.00 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_image__mono_0,axiom,
% 0.81/1.00 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__image__iff_2,axiom,
% 0.81/1.00 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.81/1.00 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_insert__mono_0,axiom,
% 0.81/1.00 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Un__empty_2,axiom,
% 0.81/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_xt1_I11_J_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/1.00 | V_a = V_b
% 0.81/1.00 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_xt1_I12_J_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/1.00 | ~ c_lessequals(V_b,V_a,T_a)
% 0.81/1.00 | V_a = V_b ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_psubset__eq_2,axiom,
% 0.81/1.00 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | V_A = V_B
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__le__less_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | V_x = V_y
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__less__le_2,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/1.00 | V_x = V_y
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 0.81/1.00 ( V_A = V_B
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__le__neq__trans_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/1.00 | V_a = V_b
% 0.81/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_order__neq__le__trans_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/1.00 | ~ c_lessequals(V_a,V_b,T_a)
% 0.81/1.00 | V_a = V_b ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/1.00 | V_x = V_y
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a)
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/1.00 | V_x = V_y
% 0.81/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_image__Un_0,axiom,
% 0.81/1.00 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_linorder__linear_0,axiom,
% 0.81/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/1.00 | c_lessequals(V_y,V_x,T_a)
% 0.81/1.00 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_equiv__class__self_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.81/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__equiv__class_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 0.81/1.00 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_fold__graph_OinsertI_0,axiom,
% 0.81/1.00 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.81/1.00 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insert_0,axiom,
% 0.81/1.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insert_1,axiom,
% 0.81/1.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insert__iff_1,axiom,
% 0.81/1.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.81/1.00 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_subset__insert__iff_2,axiom,
% 0.81/1.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_insert__subset_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.81/1.00 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_insert__subset_2,axiom,
% 0.81/1.00 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_image__subset__iff_0,axiom,
% 0.81/1.00 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 0.81/1.00 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_fun__upd__image_1,axiom,
% 0.81/1.00 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.81/1.00 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_equiv__class__eq_0,axiom,
% 0.81/1.00 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.81/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_equiv__class__eq__iff_0,axiom,
% 0.81/1.00 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.81/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_le__SUPI_0,axiom,
% 0.81/1.00 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.81/1.00 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_UN__upper_0,axiom,
% 0.81/1.00 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_UN__subset__iff_0,axiom,
% 0.81/1.00 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I))
% 0.81/1.00 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_UN__absorb_0,axiom,
% 0.81/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_pred__subset__eq_0,axiom,
% 0.81/1.00 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_pred__subset__eq_1,axiom,
% 0.81/1.00 ( c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool))
% 0.81/1.00 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_Sup__upper_0,axiom,
% 0.81/1.00 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.81/1.00 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.81/1.00 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.00
% 0.81/1.00 cnf(cls_insert__is__Un_0,axiom,
% 0.81/1.01 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_subset__singletonD_0,axiom,
% 0.81/1.01 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.81/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.81/1.01 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.81/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.81/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.81/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/1.01 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_compl__sup_0,axiom,
% 0.81/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.81/1.01 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.81/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/1.01 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_compl__inf_0,axiom,
% 0.81/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.81/1.01 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.81/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.81/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_UN__insert_0,axiom,
% 0.81/1.01 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_image__Int__subset_0,axiom,
% 0.81/1.01 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_UN__extend__simps_I10_J_0,axiom,
% 0.81/1.01 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_b,T_c),V_B,T_c,tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_UN__simps_I10_J_0,axiom,
% 0.81/1.01 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_c,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Sup__insert_0,axiom,
% 0.81/1.01 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.81/1.01 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.81/1.01 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.81/1.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.81/1.01 | V_A = V_B ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Union__upper_0,axiom,
% 0.81/1.01 ( c_lessequals(V_B,c_Complete__Lattice_OSup__class_OSup(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.81/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_image__diff__subset_0,axiom,
% 0.81/1.01 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Un__Diff__Int_0,axiom,
% 0.81/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Diff__Un_0,axiom,
% 0.81/1.01 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Diff__Int_0,axiom,
% 0.81/1.01 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Inf__lower_0,axiom,
% 0.81/1.01 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.81/1.01 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.81/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.81/1.01 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.81/1.01 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.81/1.01 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) ) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Collect__neg__eq_0,axiom,
% 0.81/1.01 c_Collect(c_COMBB(c_Not,V_P,tc_bool,tc_bool,T_a),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_vimage__Collect__eq_0,axiom,
% 0.81/1.01 c_Set_Ovimage(V_f,c_Collect(V_P,T_b),T_a,T_b) = c_Collect(c_COMBB(V_P,V_f,T_b,tc_bool,T_a),T_a) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Compl__Un_0,axiom,
% 0.81/1.01 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ).
% 0.81/1.01
% 0.81/1.01 cnf(cls_Compl__Int_0,axiom,
% 0.87/1.01 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_image__vimage__subset_0,axiom,
% 0.87/1.01 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.87/1.01 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_PowD_0,axiom,
% 0.87/1.01 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_PowI_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a)))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Union__quotient_0,axiom,
% 0.87/1.01 ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Inter__lower_0,axiom,
% 0.87/1.01 ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_eq__equiv__class__iff_0,axiom,
% 0.87/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_eq__equiv__class__iff_1,axiom,
% 0.87/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_equiv__class__eq__iff_3,axiom,
% 0.87/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_eq__equiv__class_0,axiom,
% 0.87/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,V_x,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.87/1.01 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__not__less_1,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__not__less_0,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | c_lessequals(V_y,V_x,T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__not__le_1,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,V_y,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_linorder__not__le_0,axiom,
% 0.87/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.01 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_less__fun__def_1,axiom,
% 0.87/1.01 ( ~ class_HOL_Oord(T_b)
% 0.87/1.01 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_less__le__not__le_1,axiom,
% 0.87/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.01 | ~ c_lessequals(V_y,V_x,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__left__commute_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__assoc_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__assoc_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__left__commute_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Int__absorb2_0,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Int__absorb1_0,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.87/1.01 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__iff__inf_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.87/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__iff__inf_1,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.87/1.01 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__absorb2_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.87/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__subset__iff_2,axiom,
% 0.87/1.01 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__upper2_0,axiom,
% 0.87/1.01 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__upper1_0,axiom,
% 0.87/1.01 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__least_0,axiom,
% 0.87/1.01 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__supI_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_b,V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__ge1_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__ge2_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__least_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_z,V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__sup__iff_2,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.87/1.01 | ~ c_lessequals(V_y,V_z,T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__partition_0,axiom,
% 0.87/1.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_equiv__class__subset_0,axiom,
% 0.87/1.01 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_distrib__inf__le_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__subset_0,axiom,
% 0.87/1.01 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__Int__crazy_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_fold__graph_OemptyI_0,axiom,
% 0.87/1.01 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
% 0.87/1.01 c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_vimage__mono_0,axiom,
% 0.87/1.01 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__empty_1,axiom,
% 0.87/1.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__empty_0,axiom,
% 0.87/1.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.87/1.01 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.87/1.01 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Int__subset__iff_1,axiom,
% 0.87/1.01 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Int__subset__iff_0,axiom,
% 0.87/1.01 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__infE_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,V_a,T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__infE_1,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,V_b,T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__infI1_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__infI2_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.01 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__inf__iff_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,V_y,T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__inf__iff_1,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.01 | c_lessequals(V_x,V_z,T_a)
% 0.87/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__Diff_0,axiom,
% 0.87/1.01 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__commute_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__commute_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Un__left__absorb_0,axiom,
% 0.87/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_sup__left__idem_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_vimage__Un_0,axiom,
% 0.87/1.01 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_fun__upd__idem__iff_0,axiom,
% 0.87/1.01 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 0.87/1.01 | hAPP(V_f,V_x) = V_y ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_setsum__negf_0,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.01 | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__Un_1,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__Un_0,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__subset__conv_1,axiom,
% 0.87/1.01 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__subset__conv_0,axiom,
% 0.87/1.01 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_less__supI1_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_less__supI2_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__funD_0,axiom,
% 0.87/1.01 ( ~ class_HOL_Oord(T_b)
% 0.87/1.01 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.87/1.01 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__minus__iff_0,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.01 | c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.87/1.01 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_le__minus__iff_1,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.01 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.87/1.01 | ~ c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_minus__le__iff_0,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.01 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.87/1.01 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_minus__le__iff_1,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.01 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.87/1.01 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_subset__iff_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_set__rev__mp_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_subsetD_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_set__mp_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_UnCI_1,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_UnCI_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_UnE_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_bex__Un_6,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_bex__Un_4,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_rev__ImageI_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Image__iff_2,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_equiv__class__eq__iff_2,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_equiv__class__eq__iff_1,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__fun__updI_0,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_insert__def_0,axiom,
% 0.87/1.01 c_Set_Oinsert(V_a,V_B,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Sup__binary_0,axiom,
% 0.87/1.01 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.01 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_subset__insert__iff_4,axiom,
% 0.87/1.01 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__insert__iff_7,axiom,
% 0.87/1.01 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__insert__iff_3,axiom,
% 0.87/1.01 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__insert__iff_2,axiom,
% 0.87/1.01 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Union__disjoint_2,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a),V_A,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__image__Int_0,axiom,
% 0.87/1.01 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__image__set__diff_0,axiom,
% 0.87/1.01 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_vimage__insert_0,axiom,
% 0.87/1.01 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_diff__eq_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.87/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__eq_0,axiom,
% 0.87/1.01 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_image__empty_0,axiom,
% 0.87/1.01 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_eq__eqI_0,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.01 | V_x_H = V_y_H ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_eq__eqI_1,axiom,
% 0.87/1.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.01 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.87/1.01 | V_xa = V_y ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.87/1.01 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__idemp_0,axiom,
% 0.87/1.01 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_COMBK__def_0,axiom,
% 0.87/1.01 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_COMBC__def_0,axiom,
% 0.87/1.01 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.87/1.01 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_insert__commute_0,axiom,
% 0.87/1.01 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_in__mkbot_3,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.01 | V_x = V_z
% 0.87/1.01 | V_y = V_z ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_in__mkbot_5,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.01 | V_x = V_y
% 0.87/1.01 | V_y = V_z ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_UnionE_0,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__insert_2,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_xt1_I10_J_0,axiom,
% 0.87/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__trans_0,axiom,
% 0.87/1.01 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_order__less__trans_0,axiom,
% 0.87/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.01 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Int__Collect_1,axiom,
% 0.87/1.01 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Diff__triv_0,axiom,
% 0.87/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.01 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_singletonE_0,axiom,
% 0.87/1.01 ( V_b = V_a
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_InterI_1,axiom,
% 0.87/1.01 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a))) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_image__constant_0,axiom,
% 0.87/1.01 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__insert_0,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_insert__Diff1_0,axiom,
% 0.87/1.01 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_in__mkbot_0,axiom,
% 0.87/1.01 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_in__mkbot_1,axiom,
% 0.87/1.01 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__insert__iff_1,axiom,
% 0.87/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_psubset__insert__iff_4,axiom,
% 0.87/1.01 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inf__compl__bot_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_compl__inf__bot_0,axiom,
% 0.87/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.87/1.01 | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Compl__disjoint_0,axiom,
% 0.87/1.01 c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Compl__disjoint2_0,axiom,
% 0.87/1.01 c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_inj__on__diff_0,axiom,
% 0.87/1.01 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.87/1.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_empty__is__image_0,axiom,
% 0.87/1.01 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.87/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.01
% 0.87/1.01 cnf(cls_Inf__insert_0,axiom,
% 0.87/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.02 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__Diff_0,axiom,
% 0.87/1.02 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__insert__iff_8,axiom,
% 0.87/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_type__definition_ORep__inject_0,axiom,
% 0.87/1.02 ( hAPP(V_Rep,V_x) != hAPP(V_Rep,V_y)
% 0.87/1.02 | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
% 0.87/1.02 | V_x = V_y ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Collect__def_0,axiom,
% 0.87/1.02 c_Collect(V_P,T_a) = V_P ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__insert_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__insert2_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__not__empty_0,axiom,
% 0.87/1.02 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.87/1.02 hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__inter__insert_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__absorb2_0,axiom,
% 0.87/1.02 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__code_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_A,V_x))
% 0.87/1.02 | V_y = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.87/1.02 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__bot__right_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__bot__left_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__empty__left_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__empty__right_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_quotientE_0,axiom,
% 0.87/1.02 ( V_X = c_Relation_OImage(V_r,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_eq__equiv__class__iff2_0,axiom,
% 0.87/1.02 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_eq__equiv__class__iff2_1,axiom,
% 0.87/1.02 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inj__on__Un_2,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.87/1.02 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inj__on__Un_3,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.87/1.02 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.87/1.02 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.02 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_quotientI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__insert__iff_5,axiom,
% 0.87/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_quotient__eq__iff_0,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_y,T_a,T_a)),V_r)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_quotient__eqI_0,axiom,
% 0.87/1.02 ( V_X = V_Y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Y))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_X))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_fun__upd__image_0,axiom,
% 0.87/1.02 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Image__singleton__iff_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Image__singleton__iff_1,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_funcset__image_0,axiom,
% 0.87/1.02 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_funcsetI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b)))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_funcsetI_1,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b))),V_B)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_quotient__disj_0,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_X,V_Y,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | V_X = V_Y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.87/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__insert__iff_9,axiom,
% 0.87/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__def_0,axiom,
% 0.87/1.02 c_Set_Ovimage(V_f,V_B,T_a,T_b) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(T_b),V_f,T_b,tc_fun(tc_fun(T_b,tc_bool),tc_bool),T_a),T_a,tc_fun(T_b,tc_bool),tc_bool),V_B),T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Compl__eq_0,axiom,
% 0.87/1.02 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) = c_Collect(c_COMBB(c_Not,hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),tc_bool,tc_bool,T_a),T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Union__disjoint_1,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a)),V_C)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
% 0.87/1.02 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.87/1.02 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_subset__insert__iff_0,axiom,
% 0.87/1.02 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_subset__insert__iff_3,axiom,
% 0.87/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_diff__single__insert_0,axiom,
% 0.87/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_setsum__diff1__nat_1,axiom,
% 0.87/1.02 ( c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff1__fold__graph_0,axiom,
% 0.87/1.02 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inj__on__empty_0,axiom,
% 0.87/1.02 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__commute_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__commute_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
% 0.87/1.02 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)
% 0.87/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__Diff__single_0,axiom,
% 0.87/1.02 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_singleton__inject_0,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mktop_4,axiom,
% 0.87/1.02 ( V_xa = V_x
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_image__constant__conv_0,axiom,
% 0.87/1.02 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__Compl_0,axiom,
% 0.87/1.02 c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_UN__constant_1,axiom,
% 0.87/1.02 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c
% 0.87/1.02 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_SUP__const_0,axiom,
% 0.87/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.87/1.02 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 0.87/1.02 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__code_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__image_0,axiom,
% 0.87/1.02 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__insert__right_1,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__insert__left_1,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_UN__constant_0,axiom,
% 0.87/1.02 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mkbot_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_z
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_empty__is__image_1,axiom,
% 0.87/1.02 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__disjoint_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Inf__singleton_0,axiom,
% 0.87/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.02 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__Collect_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inj__on__insert_1,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)))
% 0.87/1.02 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Union__disjoint_0,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_C)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__Compl_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__Diff__if_1,axiom,
% 0.87/1.02 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf1E_1,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_B,V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf1E_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_A,V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.87/1.02 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_override__on__emptyset_0,axiom,
% 0.87/1.02 c_Fun_Ooverride__on(V_f,V_g,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) = V_f ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_double__complement_0,axiom,
% 0.87/1.02 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = V_A ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_minus__minus_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_double__compl_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_equation__minus__iff_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.87/1.02 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_equation__minus__iff_1,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.87/1.02 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_minus__equation__iff_1,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_minus__diff__eq_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__Int_0,axiom,
% 0.87/1.02 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Inf__binary_0,axiom,
% 0.87/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.02 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_less__minus__iff_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_less__minus__iff_1,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_minus__less__iff_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_minus__less__iff_1,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_0,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_7,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_6,axiom,
% 0.87/1.02 ( V_x = V_b
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_3,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_b
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_2,axiom,
% 0.87/1.02 ( V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_a ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_1,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_13,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_12,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_10,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_a
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_8,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_a
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_5,axiom,
% 0.87/1.02 ( V_xa = V_x
% 0.87/1.02 | V_x = V_xa
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_xa
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_14,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_11,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_9,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_4,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_b
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_0,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_7,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_x
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_6,axiom,
% 0.87/1.02 ( V_x = V_a
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_3,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_a
% 0.87/1.02 | V_y = V_a
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_2,axiom,
% 0.87/1.02 ( V_y = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_1,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_13,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_12,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_10,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_b
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_8,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__above_5,axiom,
% 0.87/1.02 ( V_xa = V_x
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_14,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_11,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_xa
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_xa
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_9,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_xa = V_x
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_x = V_b
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__below_4,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_x = V_a
% 0.87/1.02 | V_y = V_a
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bexCI_1,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_IntI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ball__conj__distrib_9,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_Q,V_xb))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ball__conj__distrib_8,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_P,V_xb))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ball__conj__distrib_7,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_Q,V_xa))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ball__conj__distrib_6,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_P,V_xa))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ord_OatLeastLessThan__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insertCI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ord_OatLeastAtMost__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bexCI_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ex__in__conv_0,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ball__empty_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_empty__iff_0,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_emptyE_0,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_type__definition_ORep_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_Rep,V_x)),V_A))
% 0.87/1.02 | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insertE_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.87/1.02 | V_a = V_b
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_ord_OgreaterThanAtMost__iff_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_override__on__apply__in_0,axiom,
% 0.87/1.02 ( hAPP(c_Fun_Ooverride__on(V_f,V_g,V_A,T_a,T_b),V_a) = hAPP(V_g,V_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_DiffE_1,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_DiffE_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bexCI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bexI_1,axiom,
% 0.87/1.02 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_type__definition_OAbs__inverse_0,axiom,
% 0.87/1.02 ( hAPP(V_Rep,hAPP(V_Abs,V_y)) = V_y
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))
% 0.87/1.02 | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.87/1.02 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.87/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.87/1.02 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.87/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Sup__empty_0,axiom,
% 0.87/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.02 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__empty_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__cancel_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_not__psubset__empty_0,axiom,
% 0.87/1.02 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mkbot_4,axiom,
% 0.87/1.02 ( V_x = V_y
% 0.87/1.02 | V_y = V_x
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_converse__converse_0,axiom,
% 0.87/1.02 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__left__commute_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__assoc_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__assoc_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__left__commute_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.87/1.02 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.87/1.02 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_empty__Diff_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_neg__less__iff__less_1,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_neg__less__iff__less_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bot1E_0,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_image__constant__conv_1,axiom,
% 0.87/1.02 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.02 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__insert__iff_0,axiom,
% 0.87/1.02 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__insert__iff_6,axiom,
% 0.87/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.87/1.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Pow__bottom_0,axiom,
% 0.87/1.02 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Set_OPow(V_B,T_a))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Diff__Int2_0,axiom,
% 0.87/1.02 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_psubset__eq_1,axiom,
% 0.87/1.02 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_order__less__le_1,axiom,
% 0.87/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_linorder__neq__iff_1,axiom,
% 0.87/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_order__less__irrefl_0,axiom,
% 0.87/1.02 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_extensionalityI_1,axiom,
% 0.87/1.02 ( hAPP(V_f,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.87/1.02 | V_f = V_g ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)
% 0.87/1.02 | V_x = V_y ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.87/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.87/1.02 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 0.87/1.02 | V_a = V_b ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.87/1.02 ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B)
% 0.87/1.02 | V_A = V_B ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mktop_2,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.02 | V_y = V_z
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Collect__empty__eq_0,axiom,
% 0.87/1.02 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.87/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.02 | V_x = V_y ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.87/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_linorder__neqE_0,axiom,
% 0.87/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.02 | V_x = V_y ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_linorder__less__linear_0,axiom,
% 0.87/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.87/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.02 | V_x = V_y
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_less__infI2_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_less__infI1_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.02 | V_a = V_d
% 0.87/1.02 | V_a = V_c ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.02 | V_b = V_c
% 0.87/1.02 | V_a = V_c ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.02 | V_a = V_d
% 0.87/1.02 | V_b = V_d ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.87/1.02 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.02 | V_b = V_c
% 0.87/1.02 | V_b = V_d ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__const_1,axiom,
% 0.87/1.02 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.02 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_type__definition_ORep__inverse_0,axiom,
% 0.87/1.02 ( hAPP(V_Abs,hAPP(V_Rep,V_x)) = V_x
% 0.87/1.02 | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.87/1.02 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.87/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.87/1.02 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.87/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_bex__UN_3,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_empty__not__insert_0,axiom,
% 0.87/1.02 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mktop_0,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_in__mktop_1,axiom,
% 0.87/1.02 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__insert__left_0,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__insert__right_0,axiom,
% 0.87/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_image__insert_0,axiom,
% 0.87/1.02 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.87/1.02 ( hAPP(V_f,V_a) = V_b
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.87/1.02 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_empty__Collect__eq_0,axiom,
% 0.87/1.02 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.87/1.02 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_insert__code_1,axiom,
% 0.87/1.02 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_inf__left__idem_0,axiom,
% 0.87/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_Int__left__absorb_0,axiom,
% 0.87/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_converseD_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) ) ).
% 0.87/1.02
% 0.87/1.02 cnf(cls_converseI_0,axiom,
% 0.87/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b)))
% 0.87/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_converse__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.87/1.03 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.87/1.03 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_UN__empty2_0,axiom,
% 0.87/1.03 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__Diff_0,axiom,
% 0.87/1.03 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inf__idem_0,axiom,
% 0.87/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Int__absorb_0,axiom,
% 0.87/1.03 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Sup__singleton_0,axiom,
% 0.87/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.87/1.03 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_image__is__empty_0,axiom,
% 0.87/1.03 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_singleton__conv_0,axiom,
% 0.87/1.03 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Int__Diff_0,axiom,
% 0.87/1.03 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.87/1.03 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.87/1.03 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pair__eq_0,axiom,
% 0.87/1.03 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.87/1.03 | V_a = V_a_H ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pair__eq_1,axiom,
% 0.87/1.03 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.87/1.03 | V_b = V_b_H ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_singleton__iff_1,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Int__Collect_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool))))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Union__Pow__eq_0,axiom,
% 0.87/1.03 c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(V_A,T_a),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimage__code_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.87/1.03 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimage__code_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inf1I_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(V_B,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_less__eqI_0,axiom,
% 0.87/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.03 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_less__eqI_1,axiom,
% 0.87/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_singleton__conv2_0,axiom,
% 0.87/1.03 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimage__empty_0,axiom,
% 0.87/1.03 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Collect__mem__eq_0,axiom,
% 0.87/1.03 c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_in__mktop_3,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | V_y = V_z
% 0.87/1.03 | V_x = V_z ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_in__mktop_5,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | V_x = V_y
% 0.87/1.03 | V_x = V_z ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_xt1_I9_J_0,axiom,
% 0.87/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.87/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_order__less__asym_0,axiom,
% 0.87/1.03 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_order__less__asym_H_0,axiom,
% 0.87/1.03 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_type__definition_OAbs__inject_0,axiom,
% 0.87/1.03 ( hAPP(V_Abs,V_x) != hAPP(V_Abs,V_y)
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 0.87/1.03 | ~ c_Typedef_Otype__definition(V_Rep,V_Abs,V_A,T_a,T_b)
% 0.87/1.03 | V_x = V_y ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_override__on__apply__notin_0,axiom,
% 0.87/1.03 ( hAPP(c_Fun_Ooverride__on(V_f,V_g,V_A,T_a,T_b),V_a) = hAPP(V_f,V_a)
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ComplI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ComplD_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bexE_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThanAtMost__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThanAtMost__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_psubsetD_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__iff_1,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insertI1_0,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insertCI_1,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_11,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_Q,V_xc))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_10,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_xc))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_5,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_Q,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_4,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_3,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_Q,V_xf))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_xg))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ballE_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bexCI_3,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_IntE_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_IntE_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inj__on__contraD_0,axiom,
% 0.87/1.03 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | V_x = V_y
% 0.87/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inj__on__iff_0,axiom,
% 0.87/1.03 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.03 | V_x = V_y ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inj__on__def_0,axiom,
% 0.87/1.03 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.03 | V_x = V_xa ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_inj__onD_0,axiom,
% 0.87/1.03 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.87/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.87/1.03 | V_x = V_y
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bex__empty_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_pred__equals__eq_0,axiom,
% 0.87/1.03 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)
% 0.87/1.03 | V_R = V_S ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_CollectI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_CollectD_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatMost__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatMost__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Diff__iff_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_DiffI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_Q,V_xd))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ball__conj__distrib_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_xe))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ballE_1,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__ident_0,axiom,
% 0.87/1.03 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | V_A = V_B ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bexI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_UN__iff_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_UN__I_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThan__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_k),V_i)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OgreaterThan__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_k),V_i))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bex__UN_4,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimage__eq_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimageI2_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimageI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimageE_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_vimageD_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatLeastAtMost__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatLeastAtMost__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bex__Un_7,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bex__Un_5,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bexE_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__absorb_0,axiom,
% 0.87/1.03 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OlessThan__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OlessThan__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_SUP2__iff_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_SUP1__iff_2,axiom,
% 0.87/1.03 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_SUP2__I_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_SUP1__I_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatLeastLessThan__iff_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ord_OatLeastLessThan__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rev__bexI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rev__bexI_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rev__image__eqI_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_image__iff_2,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_image__eqI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_imageI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pi__I_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pi__I_H_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_extensional__arb_0,axiom,
% 0.87/1.03 ( hAPP(V_f,V_x) = c_HOL_Oundefined(T_b)
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pi__I_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_extensionalityI_0,axiom,
% 0.87/1.03 ( V_f = V_g
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_funcset__mem_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),V_B))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pi__I_H_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_InterI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a)),V_C)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_UnionE_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)),V_C))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_quotientE_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a)),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pow__top_0,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_A,T_a))) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_notin__Lin__iff_1,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | V_x = V_y
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_notin__Lin__iff_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | V_x = V_y
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Lin__irrefl_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pi__mem_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_PiE_0,axiom,
% 0.87/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.87/1.03 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_InterD_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_UnionI_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool))))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_mktop__Lin_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_mkbot__Lin_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_below__Lin_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | V_x = V_y ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_linear__alt_0,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_converse__in__Lin_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_converse__in__Lin_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_above__Lin_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin))
% 0.87/1.03 | V_x = V_y ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_that_0,axiom,
% 0.87/1.03 ( v_thesis____
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_R),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_mem__def_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 0.87/1.03 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_mem__def_0,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_S,V_x))
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_CHAINED_0,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__CHAINED__1),c_Arrow__Order__Mirabelle_OLin)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_conjecture_0,negated_conjecture,
% 0.87/1.03 ~ v_thesis____ ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_conjecture_1,negated_conjecture,
% 0.87/1.03 ( v_thesis____
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_x),c_Arrow__Order__Mirabelle_OLin)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.87/1.03 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.87/1.03 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.87/1.03 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.87/1.03 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.87/1.03 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.87/1.03 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.87/1.03 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.87/1.03 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.87/1.03 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.87/1.03 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_Orderings_Obot(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.87/1.03 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.87/1.03 | ~ class_HOL_Oord(T_1) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.87/1.03 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.87/1.03 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.87/1.03 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.87/1.03 class_Orderings_Opreorder(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.87/1.03 class_Orderings_Olinorder(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.87/1.03 class_Lattices_Olattice(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.87/1.03 class_Orderings_Oorder(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.87/1.03 class_Orderings_Obot(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.87/1.03 class_HOL_Oord(tc_nat) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.87/1.03 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.87/1.03 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.87/1.03 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.87/1.03 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.87/1.03 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.87/1.03 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.87/1.03 class_Orderings_Opreorder(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.87/1.03 class_Lattices_Olattice(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.87/1.03 class_Orderings_Oorder(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.87/1.03 class_Orderings_Obot(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.87/1.03 class_HOL_Oord(tc_bool) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.87/1.03 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.87/1.03 ( V_X = V_Y
% 0.87/1.03 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.87/1.03
% 0.87/1.03 %------------------------------------------------------------------------------
% 0.87/1.03 %-------------------------------------------
% 0.87/1.03 % Proof found
% 0.87/1.03 % SZS status Theorem for theBenchmark
% 0.87/1.03 % SZS output start Proof
% 0.87/1.03 %ClaNum:941(EqnAxiom:243)
% 0.87/1.03 %VarNum:6047(SingletonVarNum:2206)
% 0.87/1.03 %MaxLitNum:7
% 0.87/1.03 %MaxfuncDepth:5
% 0.87/1.03 %SharedTerms:40
% 0.87/1.03 %goalClause: 388 697
% 0.87/1.03 %singleGoalClaCount:1
% 0.87/1.03 [244]P1(a1)
% 0.87/1.03 [245]P1(a59)
% 0.87/1.03 [246]P2(a1)
% 0.87/1.03 [247]P2(a59)
% 0.87/1.03 [248]P15(a1)
% 0.87/1.03 [249]P15(a59)
% 0.87/1.03 [250]P16(a1)
% 0.87/1.03 [251]P16(a59)
% 0.87/1.03 [252]P17(a1)
% 0.87/1.03 [253]P17(a59)
% 0.87/1.03 [254]P18(a1)
% 0.87/1.03 [255]P18(a59)
% 0.87/1.03 [256]P3(a1)
% 0.87/1.03 [257]P3(a59)
% 0.87/1.03 [258]P13(a1)
% 0.87/1.03 [259]P19(a1)
% 0.87/1.03 [260]P19(a59)
% 0.87/1.03 [261]P24(a59)
% 0.87/1.03 [262]P4(a1)
% 0.87/1.03 [263]P14(a1)
% 0.87/1.03 [388]~P27(a500)
% 0.87/1.03 [320]P25(f56(f56(f57(f60(f61(a58,a58),a1)),a62),a6))
% 0.87/1.03 [321]P25(f56(f56(f57(f60(f61(a58,a58),a1)),a63),a6))
% 0.87/1.03 [266]P5(x2661,x2661,f60(x2662,a1))
% 0.87/1.03 [389]~P11(x3891,x3891,f60(x3892,a1))
% 0.87/1.03 [264]E(f3(f2(x2641,x2642),f60(x2642,a1)),x2641)
% 0.87/1.03 [267]E(f25(x2671,x2671,f60(x2672,a1)),x2671)
% 0.87/1.03 [268]E(f26(x2681,x2681,f60(x2682,a1)),x2681)
% 0.87/1.03 [269]E(f27(x2691,x2691,f60(x2692,a1)),f41(f60(x2692,a1)))
% 0.87/1.03 [272]P5(f41(f60(x2721,a1)),x2722,f60(x2721,a1))
% 0.87/1.03 [273]E(f25(x2731,f41(f60(x2732,a1)),f60(x2732,a1)),x2731)
% 0.87/1.03 [274]E(f27(x2741,f41(f60(x2742,a1)),f60(x2742,a1)),x2741)
% 0.87/1.03 [275]E(f25(f41(f60(x2751,a1)),x2752,f60(x2751,a1)),x2752)
% 0.87/1.03 [278]E(f26(x2781,f41(f60(x2782,a1)),f60(x2782,a1)),f41(f60(x2782,a1)))
% 0.87/1.03 [279]E(f26(f41(f60(x2791,a1)),x2792,f60(x2791,a1)),f41(f60(x2791,a1)))
% 0.87/1.03 [280]E(f27(f41(f60(x2801,a1)),x2802,f60(x2801,a1)),f41(f60(x2801,a1)))
% 0.87/1.03 [290]E(f26(x2901,f56(f39(f60(x2902,a1)),x2901),f60(x2902,a1)),f41(f60(x2902,a1)))
% 0.87/1.03 [291]E(f26(f56(f39(f60(x2911,a1)),x2912),x2912,f60(x2911,a1)),f41(f60(x2911,a1)))
% 0.87/1.03 [304]P25(f56(f56(f57(f60(x3041,a1)),x3042),f2(x3042,x3041)))
% 0.87/1.03 [315]P25(f56(f56(f57(f60(x3151,a1)),f41(f60(x3151,a1))),f2(x3152,x3151)))
% 0.87/1.03 [336]E(f25(f56(f5(f54(x3361),x3361,x3361,a1),x3362),f41(f60(x3361,a1)),f60(x3361,a1)),f56(f54(x3361),x3362))
% 0.87/1.03 [390]~P11(x3901,f41(f60(x3902,a1)),f60(x3902,a1))
% 0.87/1.03 [270]P25(f56(f56(f54(x2701),x2702),x2702))
% 0.87/1.03 [319]E(f56(f5(f57(x3191),x3191,f60(x3191,a1),a1),x3192),x3192)
% 0.87/1.03 [341]E(f19(a42,x3411,a1,a1,x3412),f56(f39(f60(x3412,a1)),x3411))
% 0.87/1.03 [391]~P25(f56(f41(f60(x3911,a1)),x3912))
% 0.87/1.03 [394]~P25(f56(f56(f57(x3941),x3942),f41(f60(x3941,a1))))
% 0.87/1.03 [283]E(f56(f39(f60(x2831,a1)),f56(f39(f60(x2831,a1)),x2832)),x2832)
% 0.87/1.03 [349]E(f19(a42,f56(f5(f57(x3491),x3491,f60(x3491,a1),a1),x3492),a1,a1,x3491),f56(f39(f60(x3491,a1)),x3492))
% 0.87/1.03 [276]E(f25(x2761,x2762,f60(x2763,a1)),f25(x2762,x2761,f60(x2763,a1)))
% 0.87/1.03 [277]E(f26(x2771,x2772,f60(x2773,a1)),f26(x2772,x2771,f60(x2773,a1)))
% 0.87/1.03 [281]E(f44(f44(x2811,x2812,x2813),x2813,x2812),x2811)
% 0.87/1.03 [285]P5(x2851,f25(x2852,x2851,f60(x2853,a1)),f60(x2853,a1))
% 0.87/1.03 [286]P5(x2861,f25(x2861,x2862,f60(x2863,a1)),f60(x2863,a1))
% 0.87/1.03 [287]P5(f26(x2871,x2872,f60(x2873,a1)),x2872,f60(x2873,a1))
% 0.87/1.03 [288]P5(f26(x2881,x2882,f60(x2883,a1)),x2881,f60(x2883,a1))
% 0.87/1.03 [289]P5(f27(x2891,x2892,f60(x2893,a1)),x2891,f60(x2893,a1))
% 0.87/1.03 [292]E(f26(x2921,f27(x2922,x2921,f60(x2923,a1)),f60(x2923,a1)),f41(f60(x2923,a1)))
% 0.87/1.03 [293]E(f26(x2931,f56(f39(f60(x2932,a1)),x2933),f60(x2932,a1)),f27(x2931,x2933,f60(x2932,a1)))
% 0.87/1.03 [294]E(f27(x2941,f56(f39(f60(x2942,a1)),x2943),f60(x2942,a1)),f26(x2941,x2943,f60(x2942,a1)))
% 0.87/1.03 [295]P6(x2951,f41(f60(x2952,a1)),x2952,x2953)
% 0.87/1.03 [296]E(f25(x2961,f25(x2961,x2962,f60(x2963,a1)),f60(x2963,a1)),f25(x2961,x2962,f60(x2963,a1)))
% 0.87/1.03 [297]E(f25(x2971,f27(x2972,x2971,f60(x2973,a1)),f60(x2973,a1)),f25(x2971,x2972,f60(x2973,a1)))
% 0.87/1.03 [298]E(f26(x2981,f26(x2981,x2982,f60(x2983,a1)),f60(x2983,a1)),f26(x2981,x2982,f60(x2983,a1)))
% 0.87/1.03 [299]E(f25(f27(x2991,x2992,f60(x2993,a1)),x2992,f60(x2993,a1)),f25(x2991,x2992,f60(x2993,a1)))
% 0.87/1.03 [300]E(f27(f27(x3001,x3002,f60(x3003,a1)),x3002,f60(x3003,a1)),f27(x3001,x3002,f60(x3003,a1)))
% 0.87/1.03 [306]E(f25(f27(x3061,x3062,f60(x3063,a1)),f26(x3061,x3062,f60(x3063,a1)),f60(x3063,a1)),x3061)
% 0.87/1.03 [314]E(f28(f41(f60(x3141,a1)),f4(x3142,f60(x3143,a1),x3141),x3141,f60(x3143,a1)),f41(f60(x3143,a1)))
% 0.87/1.03 [316]E(f28(x3161,f4(f41(f60(x3162,a1)),f60(x3162,a1),x3163),x3163,f60(x3162,a1)),f41(f60(x3162,a1)))
% 0.87/1.03 [361]E(f25(f25(f56(f5(f54(x3611),x3611,x3611,a1),x3612),f41(f60(x3611,a1)),f60(x3611,a1)),x3613,f60(x3611,a1)),f25(f56(f5(f54(x3611),x3611,x3611,a1),x3612),x3613,f60(x3611,a1)))
% 0.87/1.03 [384]E(f25(f56(f5(f54(x3841),x3841,x3841,a1),x3842),f27(x3843,f25(f56(f5(f54(x3841),x3841,x3841,a1),x3842),f41(f60(x3841,a1)),f60(x3841,a1)),f60(x3841,a1)),f60(x3841,a1)),f25(f56(f5(f54(x3841),x3841,x3841,a1),x3842),x3843,f60(x3841,a1)))
% 0.87/1.03 [396]~E(f25(f56(f5(f54(x3961),x3961,x3961,a1),x3962),x3963,f60(x3961,a1)),f41(f60(x3961,a1)))
% 0.87/1.03 [397]~P25(f56(f56(f57(f61(a58,a58)),f46(x3971,x3972,a58,a58)),f20(x3973,x3972)))
% 0.87/1.03 [398]~P25(f56(f56(f57(f61(a58,a58)),f46(x3981,x3982,a58,a58)),f23(x3983,x3981)))
% 0.87/1.03 [302]E(f55(x3021,f41(f60(x3022,a1)),x3022,x3023),f41(f60(x3023,a1)))
% 0.87/1.03 [303]E(f45(x3031,f41(f60(x3032,a1)),x3032,x3033),f41(f60(x3033,a1)))
% 0.87/1.03 [307]E(f25(f56(f39(f60(x3071,a1)),x3072),x3073,f60(x3071,a1)),f56(f39(f60(x3071,a1)),f27(x3072,x3073,f60(x3071,a1))))
% 0.87/1.03 [317]E(f26(f56(f39(f60(x3171,a1)),x3172),f56(f39(f60(x3171,a1)),x3173),f60(x3171,a1)),f56(f39(f60(x3171,a1)),f25(x3172,x3173,f60(x3171,a1))))
% 0.87/1.03 [318]E(f25(f56(f39(f60(x3181,a1)),x3182),f56(f39(f60(x3181,a1)),x3183),f60(x3181,a1)),f56(f39(f60(x3181,a1)),f26(x3182,x3183,f60(x3181,a1))))
% 0.87/1.03 [342]E(f19(f41(f60(x3421,a1)),x3422,x3421,a1,x3423),f41(f60(x3423,a1)))
% 0.87/1.03 [367]P25(f56(f25(f56(f5(f54(x3671),x3671,x3671,a1),x3672),x3673,f60(x3671,a1)),x3672))
% 0.87/1.03 [370]P25(f56(f56(f57(x3701),x3702),f25(f56(f5(f54(x3701),x3701,x3701,a1),x3702),x3703,f60(x3701,a1))))
% 0.87/1.03 [271]E(f56(f4(x2711,x2712,x2713),x2714),x2711)
% 0.87/1.03 [309]E(f25(x3091,f25(x3092,x3093,f60(x3094,a1)),f60(x3094,a1)),f25(x3092,f25(x3091,x3093,f60(x3094,a1)),f60(x3094,a1)))
% 0.87/1.03 [310]E(f26(x3101,f26(x3102,x3103,f60(x3104,a1)),f60(x3104,a1)),f26(x3102,f26(x3101,x3103,f60(x3104,a1)),f60(x3104,a1)))
% 0.87/1.03 [311]E(f25(f25(x3111,x3112,f60(x3113,a1)),x3114,f60(x3113,a1)),f25(x3111,f25(x3112,x3114,f60(x3113,a1)),f60(x3113,a1)))
% 0.87/1.03 [312]E(f26(f26(x3121,x3122,f60(x3123,a1)),x3124,f60(x3123,a1)),f26(x3121,f26(x3122,x3124,f60(x3123,a1)),f60(x3123,a1)))
% 0.87/1.03 [313]E(f27(f26(x3131,x3132,f60(x3133,a1)),x3134,f60(x3133,a1)),f26(x3131,f27(x3132,x3134,f60(x3133,a1)),f60(x3133,a1)))
% 0.87/1.03 [322]E(f26(f25(x3221,x3222,f60(x3223,a1)),f25(x3221,x3224,f60(x3223,a1)),f60(x3223,a1)),f25(x3221,f26(x3222,x3224,f60(x3223,a1)),f60(x3223,a1)))
% 0.87/1.03 [323]E(f25(f26(x3231,x3232,f60(x3233,a1)),f26(x3231,x3234,f60(x3233,a1)),f60(x3233,a1)),f26(x3231,f25(x3232,x3234,f60(x3233,a1)),f60(x3233,a1)))
% 0.87/1.03 [324]E(f27(f26(x3241,x3242,f60(x3243,a1)),f26(x3241,x3244,f60(x3243,a1)),f60(x3243,a1)),f26(x3241,f27(x3242,x3244,f60(x3243,a1)),f60(x3243,a1)))
% 0.87/1.03 [325]E(f26(f27(x3251,x3252,f60(x3253,a1)),f27(x3251,x3254,f60(x3253,a1)),f60(x3253,a1)),f27(x3251,f25(x3252,x3254,f60(x3253,a1)),f60(x3253,a1)))
% 0.87/1.03 [326]E(f25(f27(x3261,x3262,f60(x3263,a1)),f27(x3261,x3264,f60(x3263,a1)),f60(x3263,a1)),f27(x3261,f26(x3262,x3264,f60(x3263,a1)),f60(x3263,a1)))
% 0.87/1.03 [327]E(f26(f25(x3271,x3272,f60(x3273,a1)),f25(x3274,x3272,f60(x3273,a1)),f60(x3273,a1)),f25(f26(x3271,x3274,f60(x3273,a1)),x3272,f60(x3273,a1)))
% 0.87/1.03 [328]E(f25(f26(x3281,x3282,f60(x3283,a1)),f26(x3284,x3282,f60(x3283,a1)),f60(x3283,a1)),f26(f25(x3281,x3284,f60(x3283,a1)),x3282,f60(x3283,a1)))
% 0.87/1.03 [329]E(f27(f26(x3291,x3292,f60(x3293,a1)),f26(x3294,x3292,f60(x3293,a1)),f60(x3293,a1)),f26(f27(x3291,x3294,f60(x3293,a1)),x3292,f60(x3293,a1)))
% 0.87/1.03 [330]E(f25(f27(x3301,x3302,f60(x3303,a1)),f27(x3304,x3302,f60(x3303,a1)),f60(x3303,a1)),f27(f25(x3301,x3304,f60(x3303,a1)),x3302,f60(x3303,a1)))
% 0.87/1.03 [331]E(f27(f26(x3311,x3312,f60(x3313,a1)),f26(x3314,x3312,f60(x3313,a1)),f60(x3313,a1)),f27(f26(x3311,x3312,f60(x3313,a1)),x3314,f60(x3313,a1)))
% 0.87/1.03 [332]E(f25(x3321,f28(f41(f60(x3322,a1)),x3323,x3322,f60(x3324,a1)),f60(x3324,a1)),x3321)
% 0.87/1.03 [333]E(f27(x3331,f28(f41(f60(x3332,a1)),x3333,x3332,f60(x3334,a1)),f60(x3334,a1)),x3331)
% 0.87/1.03 [334]E(f25(f28(f41(f60(x3341,a1)),x3342,x3341,f60(x3343,a1)),x3344,f60(x3343,a1)),x3344)
% 0.87/1.03 [339]E(f29(x3391,x3392,f56(x3391,x3392),x3393,x3394),x3391)
% 0.87/1.03 [347]E(f26(f26(f25(x3471,x3472,f60(x3473,a1)),f25(x3472,x3474,f60(x3473,a1)),f60(x3473,a1)),f25(x3474,x3471,f60(x3473,a1)),f60(x3473,a1)),f25(f25(f26(x3471,x3472,f60(x3473,a1)),f26(x3472,x3474,f60(x3473,a1)),f60(x3473,a1)),f26(x3474,x3471,f60(x3473,a1)),f60(x3473,a1)))
% 0.87/1.03 [353]E(f25(f56(f5(f54(x3531),x3531,x3531,a1),x3532),f28(f41(f60(x3533,a1)),x3534,x3533,f60(x3531,a1)),f60(x3531,a1)),f25(f56(f5(f54(x3531),x3531,x3531,a1),x3532),f41(f60(x3531,a1)),f60(x3531,a1)))
% 0.87/1.03 [373]E(f27(f27(x3731,x3732,f60(x3733,a1)),f25(f56(f5(f54(x3733),x3733,x3733,a1),x3734),f41(f60(x3733,a1)),f60(x3733,a1)),f60(x3733,a1)),f27(x3731,f25(f56(f5(f54(x3733),x3733,x3733,a1),x3734),x3732,f60(x3733,a1)),f60(x3733,a1)))
% 0.87/1.03 [374]P5(f55(x3741,f19(x3742,x3741,x3743,a1,x3744),x3744,x3743),x3742,f60(x3743,a1))
% 0.87/1.03 [376]P7(x3761,x3762,f41(f60(x3763,a1)),x3762,x3763,x3764)
% 0.87/1.03 [377]P10(x3771,x3772,f41(f60(x3773,a1)),x3772,x3773,x3774)
% 0.87/1.03 [385]E(f27(f27(x3851,f25(f56(f5(f54(x3852),x3852,x3852,a1),x3853),f41(f60(x3852,a1)),f60(x3852,a1)),f60(x3852,a1)),x3854,f60(x3852,a1)),f27(x3851,f25(f56(f5(f54(x3852),x3852,x3852,a1),x3853),x3854,f60(x3852,a1)),f60(x3852,a1)))
% 0.87/1.03 [340]E(f32(x3401,x3402,f41(f60(x3403,a1)),x3403,x3404),x3401)
% 0.87/1.03 [383]E(f56(f5(f19(f57(x3831),x3832,x3831,f60(f60(x3831,a1),a1),x3833),x3833,f60(x3831,a1),a1),x3834),f19(x3834,x3832,x3831,a1,x3833))
% 0.87/1.03 [364]E(f19(f56(f39(f60(x3641,a1)),x3642),x3643,x3641,a1,x3644),f56(f39(f60(x3644,a1)),f19(x3642,x3643,x3641,a1,x3644)))
% 0.87/1.03 [387]P25(f56(f56(f57(x3871),x3872),f19(f25(f56(f5(f54(x3873),x3873,x3873,a1),f56(x3874,x3872)),f41(f60(x3873,a1)),f60(x3873,a1)),x3874,x3873,a1,x3871)))
% 0.87/1.03 [345]E(f25(f28(x3451,x3452,x3453,f60(x3454,a1)),f28(x3455,x3452,x3453,f60(x3454,a1)),f60(x3454,a1)),f28(f25(x3451,x3455,f60(x3453,a1)),x3452,x3453,f60(x3454,a1)))
% 0.87/1.03 [351]E(f56(f29(x3511,x3512,x3513,x3514,x3515),x3512),x3513)
% 0.87/1.03 [357]E(f28(f25(f56(f5(f54(x3571),x3571,x3571,a1),x3572),x3573,f60(x3571,a1)),x3574,x3571,f60(x3575,a1)),f25(f56(x3574,x3572),f28(x3573,x3574,x3571,f60(x3575,a1)),f60(x3575,a1)))
% 0.87/1.03 [343]E(f25(f55(x3431,x3432,x3433,x3434),f55(x3431,x3435,x3433,x3434),f60(x3434,a1)),f55(x3431,f25(x3432,x3435,f60(x3433,a1)),x3433,x3434))
% 0.87/1.03 [344]E(f25(f45(x3441,x3442,x3443,x3444),f45(x3441,x3445,x3443,x3444),f60(x3444,a1)),f45(x3441,f25(x3442,x3445,f60(x3443,a1)),x3443,x3444))
% 0.87/1.03 [354]P5(f55(x3541,f26(x3542,x3543,f60(x3544,a1)),x3544,x3545),f26(f55(x3541,x3542,x3544,x3545),f55(x3541,x3543,x3544,x3545),f60(x3545,a1)),f60(x3545,a1))
% 0.87/1.03 [355]P5(f45(x3551,f26(x3552,x3553,f60(x3554,a1)),x3554,x3555),f26(f45(x3551,x3552,x3554,x3555),f45(x3551,x3553,x3554,x3555),f60(x3555,a1)),f60(x3555,a1))
% 0.87/1.03 [356]P5(f27(f55(x3561,x3562,x3563,x3564),f55(x3561,x3565,x3563,x3564),f60(x3564,a1)),f55(x3561,f27(x3562,x3565,f60(x3563,a1)),x3563,x3564),f60(x3564,a1))
% 0.87/1.03 [365]E(f55(x3651,f25(f56(f5(f54(x3652),x3652,x3652,a1),x3653),x3654,f60(x3652,a1)),x3652,x3655),f25(f56(f5(f54(x3655),x3655,x3655,a1),f56(x3651,x3653)),f55(x3651,x3654,x3652,x3655),f60(x3655,a1)))
% 0.87/1.03 [378]E(f25(f19(x3781,x3782,x3783,a1,x3784),f19(x3785,x3782,x3783,a1,x3784),f60(x3784,a1)),f19(f25(x3781,x3785,f60(x3783,a1)),x3782,x3783,a1,x3784))
% 0.87/1.03 [379]E(f26(f19(x3791,x3792,x3793,a1,x3794),f19(x3795,x3792,x3793,a1,x3794),f60(x3794,a1)),f19(f26(x3791,x3795,f60(x3793,a1)),x3792,x3793,a1,x3794))
% 0.87/1.03 [380]E(f27(f19(x3801,x3802,x3803,a1,x3804),f19(x3805,x3802,x3803,a1,x3804),f60(x3804,a1)),f19(f27(x3801,x3805,f60(x3803,a1)),x3802,x3803,a1,x3804))
% 0.87/1.03 [386]E(f25(f19(f25(f56(f5(f54(x3861),x3861,x3861,a1),x3862),f41(f60(x3861,a1)),f60(x3861,a1)),x3863,x3861,a1,x3864),f19(x3865,x3863,x3861,a1,x3864),f60(x3864,a1)),f19(f25(f56(f5(f54(x3861),x3861,x3861,a1),x3862),x3865,f60(x3861,a1)),x3863,x3861,a1,x3864))
% 0.87/1.03 [352]E(f56(f19(x3521,x3522,x3523,x3524,x3525),x3526),f56(x3521,f56(x3522,x3526)))
% 0.87/1.03 [358]E(f55(x3581,f55(x3582,x3583,x3584,x3585),x3585,x3586),f55(f19(x3581,x3582,x3585,x3586,x3584),x3583,x3584,x3586))
% 0.87/1.03 [359]E(f28(f55(x3591,x3592,x3593,x3594),x3595,x3594,f60(x3596,a1)),f28(x3592,f19(x3595,x3591,x3594,f60(x3596,a1),x3593),x3593,f60(x3596,a1)))
% 0.87/1.03 [360]E(f28(x3601,f19(x3602,x3603,x3604,f60(x3605,a1),x3606),x3606,f60(x3605,a1)),f28(f55(x3603,x3601,x3606,x3604),x3602,x3604,f60(x3605,a1)))
% 0.87/1.03 [372]E(f29(f29(x3721,x3722,x3723,x3724,x3725),x3722,x3726,x3724,x3725),f29(x3721,x3722,x3726,x3724,x3725))
% 0.87/1.03 [335]E(f56(f56(f5(x3351,x3352,x3353,x3354),x3355),x3356),f56(f56(x3351,x3356),x3355))
% 0.87/1.03 [428]~P4(x4281)+E(f3(f41(f60(x4281,a1)),x4281),f41(x4281))
% 0.87/1.03 [697]P27(a500)+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x6971),a6))
% 0.87/1.03 [744]P25(f56(f56(f57(f60(f61(a58,a58),a1)),f44(x7441,a58,a58)),a6))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7441),a6))
% 0.87/1.03 [752]~P25(f56(f56(f57(f60(f61(a58,a58),a1)),f44(x7521,a58,a58)),a6))+P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7521),a6))
% 0.87/1.03 [412]~P17(x4122)+P5(x4121,x4121,x4122)
% 0.87/1.03 [413]~P18(x4132)+P5(x4131,x4131,x4132)
% 0.87/1.03 [431]~P11(x4312,x4312,x4311)+~P17(x4311)
% 0.87/1.03 [432]~P11(x4322,x4322,x4321)+~P18(x4321)
% 0.87/1.03 [433]~P11(x4332,x4332,x4331)+~P24(x4331)
% 0.87/1.03 [401]~P16(x4012)+P1(f60(x4011,x4012))
% 0.87/1.03 [402]~P2(x4022)+P2(f60(x4021,x4022))
% 0.87/1.03 [403]~P16(x4032)+P15(f60(x4031,x4032))
% 0.87/1.03 [404]~P16(x4042)+P16(f60(x4041,x4042))
% 0.87/1.03 [405]~P17(x4052)+P17(f60(x4051,x4052))
% 0.87/1.03 [406]~P18(x4062)+P18(f60(x4061,x4062))
% 0.87/1.03 [407]~P3(x4072)+P3(f60(x4071,x4072))
% 0.87/1.03 [408]~P13(x4082)+P13(f60(x4081,x4082))
% 0.87/1.03 [409]~P19(x4092)+P19(f60(x4091,x4092))
% 0.87/1.03 [410]~P4(x4102)+P4(f60(x4101,x4102))
% 0.87/1.03 [411]~P14(x4112)+P14(f60(x4111,x4112))
% 0.87/1.03 [414]~P1(x4142)+E(f25(x4141,x4141,x4142),x4141)
% 0.87/1.03 [415]~P15(x4152)+E(f26(x4151,x4151,x4152),x4151)
% 0.87/1.03 [421]~P19(x4211)+P5(f41(x4211),x4212,x4211)
% 0.87/1.03 [422]~P13(x4222)+E(f25(x4221,f41(x4222),x4222),x4221)
% 0.87/1.03 [423]~P13(x4231)+E(f25(f41(x4231),x4232,x4231),x4232)
% 0.87/1.03 [424]~P13(x4242)+E(f26(x4241,f41(x4242),x4242),f41(x4242))
% 0.87/1.03 [425]~P13(x4251)+E(f26(f41(x4251),x4252,x4251),f41(x4251))
% 0.87/1.03 [520]~P5(x5201,f41(f60(x5202,a1)),f60(x5202,a1))+E(x5201,f41(f60(x5202,a1)))
% 0.87/1.03 [418]~P14(x4181)+E(f56(f39(x4181),f56(f39(x4181),x4182)),x4182)
% 0.87/1.03 [420]~P20(x4201)+E(f56(f39(x4201),f56(f39(x4201),x4202)),x4202)
% 0.87/1.03 [434]~P14(x4342)+E(f26(x4341,f56(f39(x4342),x4341),x4342),f41(x4342))
% 0.87/1.03 [435]~P14(x4351)+E(f26(f56(f39(x4351),x4352),x4352,x4351),f41(x4351))
% 0.87/1.03 [592]~P5(x5921,f56(f39(f60(x5922,a1)),x5921),f60(x5922,a1))+E(x5921,f41(f60(x5922,a1)))
% 0.87/1.03 [761]~P4(x7611)+E(f3(f25(f56(f5(f54(x7611),x7611,x7611,a1),x7612),f41(f60(x7611,a1)),f60(x7611,a1)),x7611),x7612)
% 0.87/1.03 [762]~P4(x7621)+E(f24(f25(f56(f5(f54(x7621),x7621,x7621,a1),x7622),f41(f60(x7621,a1)),f60(x7621,a1)),x7621),x7622)
% 0.87/1.03 [731]P25(f56(f56(f57(f60(f61(a58,a58),a1)),f20(x7311,x7312)),a6))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7311),a6))
% 0.87/1.03 [732]P25(f56(f56(f57(f60(f61(a58,a58),a1)),f23(x7321,x7322)),a6))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7321),a6))
% 0.87/1.03 [438]~P1(x4383)+E(f25(x4381,x4382,x4383),f25(x4382,x4381,x4383))
% 0.87/1.03 [439]~P16(x4393)+E(f25(x4391,x4392,x4393),f25(x4392,x4391,x4393))
% 0.87/1.03 [440]~P15(x4403)+E(f26(x4401,x4402,x4403),f26(x4402,x4401,x4403))
% 0.87/1.03 [441]~P16(x4413)+E(f26(x4411,x4412,x4413),f26(x4412,x4411,x4413))
% 0.87/1.03 [471]~P1(x4713)+P5(x4711,f25(x4712,x4711,x4713),x4713)
% 0.87/1.03 [472]~P16(x4723)+P5(x4721,f25(x4722,x4721,x4723),x4723)
% 0.87/1.03 [473]~P1(x4733)+P5(x4731,f25(x4731,x4732,x4733),x4733)
% 0.87/1.03 [474]~P16(x4743)+P5(x4741,f25(x4741,x4742,x4743),x4743)
% 0.87/1.03 [475]~P15(x4753)+P5(f26(x4751,x4752,x4753),x4752,x4753)
% 0.87/1.03 [476]~P16(x4763)+P5(f26(x4761,x4762,x4763),x4762,x4763)
% 0.87/1.03 [477]~P15(x4773)+P5(f26(x4771,x4772,x4773),x4771,x4773)
% 0.87/1.03 [478]~P16(x4783)+P5(f26(x4781,x4782,x4783),x4781,x4783)
% 0.87/1.03 [500]~P11(x5001,x5002,f60(x5003,a1))+P5(x5001,x5002,f60(x5003,a1))
% 0.87/1.03 [429]~P25(f56(x4291,x4293))+~E(x4291,f41(f60(x4292,a1)))
% 0.87/1.03 [430]~P25(f56(x4302,x4303))+~E(f41(f60(x4301,a1)),x4302)
% 0.87/1.03 [479]~P16(x4793)+E(f25(x4791,f26(x4791,x4792,x4793),x4793),x4791)
% 0.87/1.03 [480]~P16(x4803)+E(f26(x4801,f25(x4801,x4802,x4803),x4803),x4801)
% 0.87/1.03 [495]~P21(x4951)+E(f56(f39(x4951),f27(x4952,x4953,x4951)),f27(x4953,x4952,x4951))
% 0.87/1.03 [496]E(x4961,f41(f60(x4962,a1)))+~E(f25(x4963,x4961,f60(x4962,a1)),f41(f60(x4962,a1)))
% 0.87/1.03 [497]E(x4971,f41(f60(x4972,a1)))+~E(f25(x4971,x4973,f60(x4972,a1)),f41(f60(x4972,a1)))
% 0.87/1.03 [503]~P5(x5031,x5032,f60(x5033,a1))+E(f25(x5031,x5032,f60(x5033,a1)),x5032)
% 0.87/1.03 [504]~P5(x5042,x5041,f60(x5043,a1))+E(f25(x5041,x5042,f60(x5043,a1)),x5041)
% 0.87/1.03 [505]~P5(x5052,x5051,f60(x5053,a1))+E(f26(x5051,x5052,f60(x5053,a1)),x5052)
% 0.87/1.03 [506]~P5(x5061,x5062,f60(x5063,a1))+E(f26(x5061,x5062,f60(x5063,a1)),x5061)
% 0.87/1.03 [507]P5(x5071,x5072,f60(x5073,a1))+~E(f25(x5071,x5072,f60(x5073,a1)),x5072)
% 0.87/1.03 [513]~P1(x5133)+E(f25(x5131,f25(x5131,x5132,x5133),x5133),f25(x5131,x5132,x5133))
% 0.87/1.03 [514]~P16(x5143)+E(f25(x5141,f25(x5141,x5142,x5143),x5143),f25(x5141,x5142,x5143))
% 0.87/1.03 [515]~P15(x5153)+E(f26(x5151,f26(x5151,x5152,x5153),x5153),f26(x5151,x5152,x5153))
% 0.87/1.03 [516]~P16(x5163)+E(f26(x5161,f26(x5161,x5162,x5163),x5163),f26(x5161,x5162,x5163))
% 0.87/1.03 [519]~P8(x5191,x5192,x5193)+E(f3(f30(x5191,x5192,x5193),f60(x5193,a1)),x5191)
% 0.87/1.03 [530]E(f27(x5301,x5302,f60(x5303,a1)),x5301)+~E(f26(x5301,x5302,f60(x5303,a1)),f41(f60(x5303,a1)))
% 0.87/1.03 [591]~P5(x5911,x5912,f60(x5913,a1))+E(f25(x5911,f27(x5912,x5911,f60(x5913,a1)),f60(x5913,a1)),x5912)
% 0.87/1.03 [626]~P5(x6262,x6263,f60(x6261,a1))+P25(f56(f56(f57(f60(x6261,a1)),x6262),f2(x6263,x6261)))
% 0.87/1.03 [634]~E(f26(f8(x6343,x6341,x6342),x6343,f60(x6342,a1)),f41(f60(x6342,a1)))+E(f26(f3(x6341,f60(x6342,a1)),x6343,f60(x6342,a1)),f41(f60(x6342,a1)))
% 0.87/1.03 [650]P5(x6501,x6502,f60(x6503,a1))+~P25(f56(f56(f57(f60(x6503,a1)),x6501),f2(x6502,x6503)))
% 0.87/1.03 [753]E(x7531,x7532)+P25(f56(f56(f57(f61(a58,a58)),f46(x7531,x7532,a58,a58)),f20(x7533,x7531)))
% 0.87/1.03 [754]E(x7541,x7542)+P25(f56(f56(f57(f61(a58,a58)),f46(x7541,x7542,a58,a58)),f23(x7543,x7542)))
% 0.87/1.03 [795]E(x7951,x7952)+~E(f25(f56(f5(f54(x7953),x7953,x7953,a1),x7951),f41(f60(x7953,a1)),f60(x7953,a1)),f25(f56(f5(f54(x7953),x7953,x7953,a1),x7952),f41(f60(x7953,a1)),f60(x7953,a1)))
% 0.87/1.03 [468]~P14(x4682)+E(f26(x4681,f56(f39(x4682),x4683),x4682),f27(x4681,x4683,x4682))
% 0.87/1.03 [470]~P25(f56(x4703,x4702))+P25(f56(f56(f57(x4701),x4702),x4703))
% 0.87/1.03 [481]E(x4811,x4812)+~P25(f56(f56(f54(x4813),x4811),x4812))
% 0.87/1.03 [499]P25(f56(x4991,x4992))+~P25(f56(f56(f57(x4993),x4992),x4991))
% 0.87/1.03 [511]E(x5111,x5112)+~E(f56(f39(f60(x5113,a1)),x5111),f56(f39(f60(x5113,a1)),x5112))
% 0.87/1.03 [552]~P23(x5521)+E(f26(f56(f39(x5521),x5522),f56(f39(x5521),x5523),x5521),f56(f39(x5521),f25(x5522,x5523,x5521)))
% 0.87/1.03 [553]~P14(x5531)+E(f26(f56(f39(x5531),x5532),f56(f39(x5531),x5533),x5531),f56(f39(x5531),f25(x5532,x5533,x5531)))
% 0.87/1.03 [554]~P23(x5541)+E(f25(f56(f39(x5541),x5542),f56(f39(x5541),x5543),x5541),f56(f39(x5541),f26(x5542,x5543,x5541)))
% 0.87/1.03 [555]~P14(x5551)+E(f25(f56(f39(x5551),x5552),f56(f39(x5551),x5553),x5551),f56(f39(x5551),f26(x5552,x5553,x5551)))
% 0.87/1.03 [594]~E(f26(x5941,x5943,f60(x5942,a1)),f41(f60(x5942,a1)))+P5(x5941,f56(f39(f60(x5942,a1)),x5943),f60(x5942,a1))
% 0.87/1.03 [604]~P5(x6041,f56(f39(f60(x6043,a1)),x6042),f60(x6043,a1))+E(f26(x6041,x6042,f60(x6043,a1)),f41(f60(x6043,a1)))
% 0.87/1.03 [619]~P5(x6193,x6192,f60(x6191,a1))+P5(f56(f39(f60(x6191,a1)),x6192),f56(f39(f60(x6191,a1)),x6193),f60(x6191,a1))
% 0.87/1.03 [649]P5(x6491,x6492,f60(x6493,a1))+~P5(f56(f39(f60(x6493,a1)),x6492),f56(f39(f60(x6493,a1)),x6491),f60(x6493,a1))
% 0.87/1.03 [661]P25(f56(f56(f57(x6611),x6612),f9(x6612,x6613,x6611)))+~P25(f56(f56(f57(x6611),x6612),f3(x6613,f60(x6611,a1))))
% 0.87/1.03 [671]~P25(f56(f56(f57(x6711),x6712),f10(x6712,x6713,x6711)))+P25(f56(f56(f57(x6711),x6712),f24(x6713,f60(x6711,a1))))
% 0.87/1.03 [692]E(f26(f3(x6921,f60(x6922,a1)),x6923,f60(x6922,a1)),f41(f60(x6922,a1)))+P25(f56(f56(f57(f60(x6922,a1)),f8(x6923,x6921,x6922)),x6921))
% 0.87/1.03 [702]P25(f56(f56(f57(f60(x7021,a1)),f10(x7022,x7023,x7021)),x7023))+P25(f56(f56(f57(x7021),x7022),f24(x7023,f60(x7021,a1))))
% 0.87/1.03 [704]~P25(f56(f56(f57(x7041),x7042),f3(x7043,f60(x7041,a1))))+P25(f56(f56(f57(f60(x7041,a1)),f9(x7042,x7043,x7041)),x7043))
% 0.87/1.03 [717]E(f25(f56(f5(f54(x7171),x7171,x7171,a1),x7172),x7173,f60(x7171,a1)),x7173)+~P25(f56(f56(f57(x7171),x7172),x7173))
% 0.87/1.03 [734]E(x7341,x7342)+~E(f56(f5(f57(x7343),x7343,f60(x7343,a1),a1),x7341),f56(f5(f57(x7343),x7343,f60(x7343,a1),a1),x7342))
% 0.87/1.03 [758]~P4(x7581)+E(f3(f25(f56(f5(f54(x7581),x7581,x7581,a1),x7582),x7583,f60(x7581,a1)),x7581),f25(x7582,f3(x7583,x7581),x7581))
% 0.87/1.03 [759]~P4(x7591)+E(f24(f25(f56(f5(f54(x7591),x7591,x7591,a1),x7592),x7593,f60(x7591,a1)),x7591),f26(x7592,f24(x7593,x7591),x7591))
% 0.87/1.03 [766]~P5(x7662,x7663,f60(x7661,a1))+P5(f56(f5(f57(x7661),x7661,f60(x7661,a1),a1),x7662),f56(f5(f57(x7661),x7661,f60(x7661,a1),a1),x7663),f60(x7661,a1))
% 0.87/1.03 [802]P5(x8021,x8022,f60(x8023,a1))+~P5(f56(f5(f57(x8023),x8023,f60(x8023,a1),a1),x8021),f56(f5(f57(x8023),x8023,f60(x8023,a1),a1),x8022),f60(x8023,a1))
% 0.87/1.03 [817]E(f27(f25(f56(f5(f54(x8171),x8171,x8171,a1),x8172),x8173,f60(x8171,a1)),f25(f56(f5(f54(x8171),x8171,x8171,a1),x8172),f41(f60(x8171,a1)),f60(x8171,a1)),f60(x8171,a1)),x8173)+P25(f56(f56(f57(x8171),x8172),x8173))
% 0.87/1.03 [841]E(f25(f56(f5(f54(x8411),x8411,x8411,a1),x8412),f27(x8413,f25(f56(f5(f54(x8411),x8411,x8411,a1),x8412),f41(f60(x8411,a1)),f60(x8411,a1)),f60(x8411,a1)),f60(x8411,a1)),x8413)+~P25(f56(f56(f57(x8411),x8412),x8413))
% 0.87/1.03 [857]~P4(x8571)+E(f3(f25(f56(f5(f54(x8571),x8571,x8571,a1),x8572),f25(f56(f5(f54(x8571),x8571,x8571,a1),x8573),f41(f60(x8571,a1)),f60(x8571,a1)),f60(x8571,a1)),x8571),f25(x8572,x8573,x8571))
% 0.87/1.03 [858]~P4(x8581)+E(f24(f25(f56(f5(f54(x8581),x8581,x8581,a1),x8582),f25(f56(f5(f54(x8581),x8581,x8581,a1),x8583),f41(f60(x8581,a1)),f60(x8581,a1)),f60(x8581,a1)),x8581),f26(x8582,x8583,x8581))
% 0.87/1.03 [868]E(x8681,x8682)+~P25(f56(f56(f57(x8683),x8681),f25(f56(f5(f54(x8683),x8683,x8683,a1),x8682),f41(f60(x8683,a1)),f60(x8683,a1))))
% 0.87/1.03 [583]~P23(x5831)+E(f56(f39(x5831),f26(f56(f39(x5831),x5832),f56(f39(x5831),x5833),x5831)),f25(x5832,x5833,x5831))
% 0.87/1.03 [584]~P23(x5841)+E(f56(f39(x5841),f25(f56(f39(x5841),x5842),f56(f39(x5841),x5843),x5841)),f26(x5842,x5843,x5841))
% 0.87/1.03 [627]P25(f56(f56(f57(x6271),x6272),x6273))+P25(f56(f56(f57(x6271),x6272),f56(f39(f60(x6271,a1)),x6273)))
% 0.87/1.03 [647]P5(x6471,f3(x6472,f60(x6473,a1)),f60(x6473,a1))+~P25(f56(f56(f57(f60(x6473,a1)),x6471),x6472))
% 0.87/1.03 [648]P5(f24(x6481,f60(x6482,a1)),x6483,f60(x6482,a1))+~P25(f56(f56(f57(f60(x6482,a1)),x6483),x6481))
% 0.87/1.03 [663]~P25(f56(f56(f57(x6631),x6632),x6633))+~P25(f56(f56(f57(x6631),x6632),f56(f39(f60(x6631,a1)),x6633)))
% 0.87/1.03 [575]~P1(x5754)+E(f25(x5751,f25(x5752,x5753,x5754),x5754),f25(x5752,f25(x5751,x5753,x5754),x5754))
% 0.87/1.03 [576]~P16(x5764)+E(f25(x5761,f25(x5762,x5763,x5764),x5764),f25(x5762,f25(x5761,x5763,x5764),x5764))
% 0.87/1.03 [577]~P15(x5774)+E(f26(x5771,f26(x5772,x5773,x5774),x5774),f26(x5772,f26(x5771,x5773,x5774),x5774))
% 0.87/1.03 [578]~P16(x5784)+E(f26(x5781,f26(x5782,x5783,x5784),x5784),f26(x5782,f26(x5781,x5783,x5784),x5784))
% 0.87/1.03 [579]~P1(x5793)+E(f25(f25(x5791,x5792,x5793),x5794,x5793),f25(x5791,f25(x5792,x5794,x5793),x5793))
% 0.87/1.03 [580]~P16(x5803)+E(f25(f25(x5801,x5802,x5803),x5804,x5803),f25(x5801,f25(x5802,x5804,x5803),x5803))
% 0.87/1.03 [581]~P15(x5813)+E(f26(f26(x5811,x5812,x5813),x5814,x5813),f26(x5811,f26(x5812,x5814,x5813),x5813))
% 0.87/1.03 [582]~P16(x5823)+E(f26(f26(x5821,x5822,x5823),x5824,x5823),f26(x5821,f26(x5822,x5824,x5823),x5823))
% 0.87/1.03 [606]~P2(x6063)+E(f26(f25(x6061,x6062,x6063),f25(x6061,x6064,x6063),x6063),f25(x6061,f26(x6062,x6064,x6063),x6063))
% 0.87/1.03 [607]~P2(x6073)+E(f25(f26(x6071,x6072,x6073),f26(x6071,x6074,x6073),x6073),f26(x6071,f25(x6072,x6074,x6073),x6073))
% 0.87/1.03 [608]~P2(x6083)+E(f26(f25(x6081,x6082,x6083),f25(x6084,x6082,x6083),x6083),f25(f26(x6081,x6084,x6083),x6082,x6083))
% 0.87/1.03 [609]~P2(x6093)+E(f25(f26(x6091,x6092,x6093),f26(x6094,x6092,x6093),x6093),f26(f25(x6091,x6094,x6093),x6092,x6093))
% 0.87/1.03 [610]P5(x6101,x6102,f60(x6103,a1))+~P5(x6101,f26(x6104,x6102,f60(x6103,a1)),f60(x6103,a1))
% 0.87/1.03 [611]P5(x6111,x6112,f60(x6113,a1))+~P5(x6111,f26(x6112,x6114,f60(x6113,a1)),f60(x6113,a1))
% 0.87/1.03 [612]P5(x6121,x6122,f60(x6123,a1))+~P5(f25(x6124,x6121,f60(x6123,a1)),x6122,f60(x6123,a1))
% 0.87/1.03 [613]P5(x6131,x6132,f60(x6133,a1))+~P5(f25(x6131,x6134,f60(x6133,a1)),x6132,f60(x6133,a1))
% 0.87/1.03 [614]~P25(f56(f56(x6143,x6142),x6144))+P25(f56(f56(f57(x6141),x6142),f47(x6143,x6144,x6141)))
% 0.87/1.03 [615]~P25(f56(f56(x6153,x6154),x6152))+P25(f56(f56(f57(x6151),x6152),f50(x6153,x6154,x6151)))
% 0.87/1.03 [616]~P25(f56(f56(x6163,x6162),x6164))+P25(f56(f56(f57(x6161),x6162),f51(x6163,x6164,x6161)))
% 0.87/1.03 [617]E(f28(x6171,f4(x6173,f60(x6174,a1),x6172),x6172,f60(x6174,a1)),x6173)+E(x6171,f41(f60(x6172,a1)))
% 0.87/1.03 [621]~E(f55(x6213,x6211,x6212,x6214),f41(f60(x6214,a1)))+E(x6211,f41(f60(x6212,a1)))
% 0.87/1.03 [640]~P5(x6403,x6401,f60(x6404,a1))+E(f26(x6401,f25(x6402,x6403,f60(x6404,a1)),f60(x6404,a1)),f25(f26(x6401,x6402,f60(x6404,a1)),x6403,f60(x6404,a1)))
% 0.87/1.03 [641]~P25(f56(f56(f57(x6414),x6413),f50(x6411,x6412,x6414)))+P25(f56(f56(x6411,x6412),x6413))
% 0.87/1.03 [642]~P25(f56(f56(f57(x6424),x6422),f47(x6421,x6423,x6424)))+P25(f56(f56(x6421,x6422),x6423))
% 0.87/1.03 [643]~P25(f56(f56(f57(x6434),x6432),f51(x6431,x6433,x6434)))+P25(f56(f56(x6431,x6432),x6433))
% 0.87/1.03 [645]~P5(f27(x6451,x6452,f60(x6454,a1)),x6453,f60(x6454,a1))+P5(x6451,f25(x6452,x6453,f60(x6454,a1)),f60(x6454,a1))
% 0.87/1.03 [646]~P5(x6461,f25(x6462,x6464,f60(x6463,a1)),f60(x6463,a1))+P5(f27(x6461,x6462,f60(x6463,a1)),x6464,f60(x6463,a1))
% 0.87/1.03 [684]P5(x6841,x6842,f60(x6843,a1))+~E(f26(x6842,f25(x6844,x6841,f60(x6843,a1)),f60(x6843,a1)),f25(f26(x6842,x6844,f60(x6843,a1)),x6841,f60(x6843,a1)))
% 0.87/1.03 [693]~P16(x6934)+P5(f25(x6931,f26(x6932,x6933,x6934),x6934),f26(f25(x6931,x6932,x6934),f25(x6931,x6933,x6934),x6934),x6934)
% 0.87/1.03 [694]~P16(x6943)+P5(f25(f26(x6941,x6942,x6943),f26(x6941,x6944,x6943),x6943),f26(x6941,f25(x6942,x6944,x6943),x6943),x6943)
% 0.87/1.03 [728]E(f55(f4(x7283,x7284,x7282),x7281,x7282,x7284),f25(f56(f5(f54(x7284),x7284,x7284,a1),x7283),f41(f60(x7284,a1)),f60(x7284,a1)))+E(x7281,f41(f60(x7282,a1)))
% 0.87/1.03 [763]~P5(x7631,x7634,f60(x7632,a1))+P5(x7631,f25(f56(f5(f54(x7632),x7632,x7632,a1),x7633),x7634,f60(x7632,a1)),f60(x7632,a1))
% 0.87/1.03 [814]~P5(x8143,x8144,f60(x8141,a1))+P5(f25(f56(f5(f54(x8141),x8141,x8141,a1),x8142),x8143,f60(x8141,a1)),f25(f56(f5(f54(x8141),x8141,x8141,a1),x8142),x8144,f60(x8141,a1)),f60(x8141,a1))
% 0.87/1.03 [596]~P25(f56(x5962,x5964))+P25(f56(f25(x5961,x5962,f60(x5963,a1)),x5964))
% 0.87/1.03 [597]~P25(f56(x5971,x5974))+P25(f56(f25(x5971,x5972,f60(x5973,a1)),x5974))
% 0.87/1.03 [635]P25(f56(x6351,x6352))+~P25(f56(f26(x6353,x6351,f60(x6354,a1)),x6352))
% 0.87/1.03 [636]P25(f56(x6361,x6362))+~P25(f56(f26(x6361,x6363,f60(x6364,a1)),x6362))
% 0.87/1.03 [637]~P25(f56(f56(f57(x6371),x6372),x6374))+P25(f56(f56(f57(x6371),x6372),f25(x6373,x6374,f60(x6371,a1))))
% 0.87/1.03 [638]~P25(f56(f56(f57(x6381),x6382),x6383))+P25(f56(f56(f57(x6381),x6382),f25(x6383,x6384,f60(x6381,a1))))
% 0.87/1.03 [658]P25(f56(x6581,x6582))+~P25(f56(f56(f57(x6583),x6582),f26(x6584,x6581,f60(x6583,a1))))
% 0.87/1.03 [672]P25(f56(f56(f57(x6721),x6722),x6723))+~P25(f56(f56(f57(x6721),x6722),f26(x6724,x6723,f60(x6721,a1))))
% 0.87/1.03 [674]P25(f56(f56(f57(x6741),x6742),x6743))+~P25(f56(f56(f57(x6741),x6742),f26(x6743,x6744,f60(x6741,a1))))
% 0.87/1.03 [675]P25(f56(f56(f57(x6751),x6752),x6753))+~P25(f56(f56(f57(x6751),x6752),f27(x6753,x6754,f60(x6751,a1))))
% 0.87/1.03 [686]~P25(f56(f56(f57(x6861),x6862),x6863))+~P25(f56(f56(f57(x6861),x6862),f27(x6864,x6863,f60(x6861,a1))))
% 0.87/1.03 [727]E(f19(x7271,f4(x7272,x7273,x7274),x7273,a1,x7274),f41(f60(x7274,a1)))+P25(f56(f56(f57(x7273),x7272),x7271))
% 0.87/1.03 [769]E(f26(x7691,f25(f56(f5(f54(x7692),x7692,x7692,a1),x7693),x7694,f60(x7692,a1)),f60(x7692,a1)),f26(x7691,x7694,f60(x7692,a1)))+P25(f56(f56(f57(x7692),x7693),x7691))
% 0.87/1.03 [770]E(f26(f25(f56(f5(f54(x7701),x7701,x7701,a1),x7702),x7703,f60(x7701,a1)),x7704,f60(x7701,a1)),f26(x7703,x7704,f60(x7701,a1)))+P25(f56(f56(f57(x7701),x7702),x7704))
% 0.87/1.03 [773]E(f27(f25(f56(f5(f54(x7731),x7731,x7731,a1),x7732),x7733,f60(x7731,a1)),x7734,f60(x7731,a1)),f27(x7733,x7734,f60(x7731,a1)))+~P25(f56(f56(f57(x7731),x7732),x7734))
% 0.87/1.03 [782]~P25(f56(f56(f57(f60(x7821,a1)),x7823),f30(x7822,x7824,x7821)))+P25(f56(f56(f57(x7821),f43(x7822,x7823,x7824,x7821)),x7822))
% 0.87/1.03 [787]~P21(x7871)+E(f31(f19(f39(x7871),x7872,x7871,x7871,x7873),x7874,x7873,x7871),f56(f39(x7871),f31(x7872,x7874,x7873,x7871)))
% 0.87/1.03 [796]E(f27(f25(f56(f5(f54(x7961),x7961,x7961,a1),x7962),x7963,f60(x7961,a1)),x7964,f60(x7961,a1)),f25(f56(f5(f54(x7961),x7961,x7961,a1),x7962),f27(x7963,x7964,f60(x7961,a1)),f60(x7961,a1)))+P25(f56(f56(f57(x7961),x7962),x7964))
% 0.87/1.03 [799]~P5(f25(f56(f5(f54(x7991),x7991,x7991,a1),x7992),x7994,f60(x7991,a1)),x7993,f60(x7991,a1))+P25(f56(f56(f57(x7991),x7992),x7993))
% 0.87/1.03 [800]E(f26(x8001,f25(f56(f5(f54(x8002),x8002,x8002,a1),x8003),x8004,f60(x8002,a1)),f60(x8002,a1)),f25(f56(f5(f54(x8002),x8002,x8002,a1),x8003),f26(x8001,x8004,f60(x8002,a1)),f60(x8002,a1)))+~P25(f56(f56(f57(x8002),x8003),x8001))
% 0.87/1.03 [801]E(f26(f25(f56(f5(f54(x8011),x8011,x8011,a1),x8012),x8013,f60(x8011,a1)),x8014,f60(x8011,a1)),f25(f56(f5(f54(x8011),x8011,x8011,a1),x8012),f26(x8013,x8014,f60(x8011,a1)),f60(x8011,a1)))+~P25(f56(f56(f57(x8011),x8012),x8014))
% 0.87/1.03 [831]E(f45(x8311,f25(f56(f5(f54(x8312),x8312,x8312,a1),f43(x8313,x8314,x8311,x8312)),f41(f60(x8312,a1)),f60(x8312,a1)),x8312,x8312),x8314)+~P25(f56(f56(f57(f60(x8312,a1)),x8314),f30(x8313,x8311,x8312)))
% 0.87/1.03 [833]E(f31(x8331,f27(x8332,f25(f56(f5(f54(x8333),x8333,x8333,a1),x8334),f41(f60(x8333,a1)),f60(x8333,a1)),f60(x8333,a1)),x8333,a59),f31(x8331,x8332,x8333,a59))+P25(f56(f56(f57(x8333),x8334),x8332))
% 0.87/1.03 [921]P25(f56(f56(f57(f60(x9211,a1)),f45(x9212,f25(f56(f5(f54(x9211),x9211,x9211,a1),x9213),f41(f60(x9211,a1)),f60(x9211,a1)),x9211,x9211)),f30(x9214,x9212,x9211)))+~P25(f56(f56(f57(x9211),x9213),x9214))
% 0.87/1.03 [710]~P5(x7102,x7105,f60(x7103,a1))+P5(f55(x7101,x7102,x7103,x7104),f55(x7101,x7105,x7103,x7104),f60(x7104,a1))
% 0.87/1.03 [741]~E(f29(x7411,x7412,x7413,x7414,x7415),x7411)+E(f56(x7411,x7412),x7413)
% 0.87/1.03 [824]~P5(x8241,x8245,f60(x8243,a1))+P5(f19(x8241,x8242,x8243,a1,x8244),f19(x8245,x8242,x8243,a1,x8244),f60(x8244,a1))
% 0.87/1.03 [683]~P6(x6831,x6832,x6834,x6835)+P6(x6831,f27(x6832,x6833,f60(x6834,a1)),x6834,x6835)
% 0.87/1.03 [690]P6(x6901,x6902,x6903,x6904)+~P6(x6901,f25(x6905,x6902,f60(x6903,a1)),x6903,x6904)
% 0.87/1.03 [691]P6(x6911,x6912,x6913,x6914)+~P6(x6911,f25(x6912,x6915,f60(x6913,a1)),x6913,x6914)
% 0.87/1.03 [736]~P25(f56(f56(f57(x7364),x7363),f48(x7361,x7362,x7365,x7364)))+P25(f56(f56(x7361,x7362),x7363))
% 0.87/1.03 [737]~P25(f56(f56(f57(x7374),x7373),f52(x7371,x7372,x7375,x7374)))+P25(f56(f56(x7371,x7372),x7373))
% 0.87/1.03 [738]~P25(f56(f56(f57(x7384),x7382),f48(x7381,x7385,x7383,x7384)))+P25(f56(f56(x7381,x7382),x7383))
% 0.87/1.03 [739]~P25(f56(f56(f57(x7394),x7392),f52(x7391,x7395,x7393,x7394)))+P25(f56(f56(x7391,x7392),x7393))
% 0.87/1.03 [760]~P6(x7601,f25(x7602,x7603,f60(x7604,a1)),x7604,x7605)+E(f26(f55(x7601,f27(x7602,x7603,f60(x7604,a1)),x7604,x7605),f55(x7601,f27(x7603,x7602,f60(x7604,a1)),x7604,x7605),f60(x7605,a1)),f41(f60(x7605,a1)))
% 0.87/1.03 [823]~P25(f56(x8231,f56(x8232,x8235)))+P25(f56(f19(x8231,x8232,x8233,a1,x8234),x8235))
% 0.87/1.03 [869]P25(f56(x8691,f56(x8692,x8693)))+~P25(f56(f19(x8691,x8692,x8694,a1,x8695),x8693))
% 0.87/1.03 [885]E(x8851,x8852)+~P7(x8853,x8852,f41(f60(x8854,a1)),x8851,x8854,x8855)
% 0.87/1.03 [685]P5(f56(x6851,x6852),f28(x6853,x6851,x6854,f60(x6855,a1)),f60(x6855,a1))+~P25(f56(f56(f57(x6854),x6852),x6853))
% 0.87/1.03 [703]E(f25(f56(x7031,x7032),f28(x7033,x7031,x7034,f60(x7035,a1)),f60(x7035,a1)),f28(x7033,x7031,x7034,f60(x7035,a1)))+~P25(f56(f56(f57(x7034),x7032),x7033))
% 0.87/1.03 [723]P25(f56(f56(f57(x7231),f56(x7232,x7233)),f55(x7232,x7234,x7235,x7231)))+~P25(f56(f56(f57(x7235),x7233),x7234))
% 0.87/1.03 [733]E(f55(f4(x7331,x7332,x7333),x7334,x7333,x7332),f25(f56(f5(f54(x7332),x7332,x7332,a1),x7331),f41(f60(x7332,a1)),f60(x7332,a1)))+~P25(f56(f56(f57(x7333),x7335),x7334))
% 0.87/1.03 [747]E(f25(f56(f5(f54(x7471),x7471,x7471,a1),f56(x7472,x7473)),f55(x7472,x7474,x7475,x7471),f60(x7471,a1)),f55(x7472,x7474,x7475,x7471))+~P25(f56(f56(f57(x7475),x7473),x7474))
% 0.87/1.03 [829]P25(f56(f56(f57(x8291),x8292),f19(x8293,x8294,x8295,a1,x8291)))+~P25(f56(f56(f57(x8295),f56(x8294,x8292)),x8293))
% 0.87/1.03 [843]P25(f56(f56(f57(f61(x8431,x8432)),f46(x8433,x8434,x8431,x8432)),f44(x8435,x8432,x8431)))+~P25(f56(f56(f57(f61(x8432,x8431)),f46(x8434,x8433,x8432,x8431)),x8435))
% 0.87/1.03 [844]~P25(f56(f56(f57(f61(x8442,x8441)),f46(x8444,x8443,x8442,x8441)),f44(x8445,x8441,x8442)))+P25(f56(f56(f57(f61(x8441,x8442)),f46(x8443,x8444,x8441,x8442)),x8445))
% 0.87/1.03 [877]~P25(f56(f56(f57(x8775),x8773),f19(x8774,x8772,x8771,a1,x8775)))+P25(f56(f56(f57(x8771),f56(x8772,x8773)),x8774))
% 0.87/1.03 [908]P25(f56(f56(f57(f60(x9081,x9085)),x9084),f34(x9082,x9083,x9081,x9085)))+P25(f56(f56(f57(x9081),f36(x9082,x9083,x9084,x9081,x9085)),x9082))
% 0.87/1.03 [909]P25(f56(f56(f57(f60(x9091,x9095)),x9094),f34(x9092,x9093,x9091,x9095)))+P25(f56(f56(f57(x9091),f37(x9092,x9093,x9094,x9091,x9095)),x9092))
% 0.87/1.03 [928]P25(f56(f56(f57(f60(x9281,x9282)),x9283),f34(x9284,x9285,x9281,x9282)))+~P25(f56(f56(f57(x9282),f56(x9283,f36(x9284,x9285,x9283,x9281,x9282))),f56(x9285,f36(x9284,x9285,x9283,x9281,x9282))))
% 0.87/1.03 [929]P25(f56(f56(f57(f60(x9291,x9292)),x9293),f34(x9294,x9295,x9291,x9292)))+~P25(f56(f56(f57(x9292),f56(x9293,f37(x9294,x9295,x9293,x9291,x9292))),f56(x9295,f37(x9294,x9295,x9293,x9291,x9292))))
% 0.87/1.03 [794]P5(f55(x7941,x7942,x7943,x7944),x7945,f60(x7944,a1))+~P25(f56(f56(f57(f60(x7943,x7944)),x7941),f34(x7942,f4(x7945,f60(x7944,a1),x7943),x7943,x7944)))
% 0.87/1.03 [912]P25(f56(f56(f57(x9121),f38(x9122,x9123,x9124,x9121,x9125)),x9122))+P25(f56(f56(f57(f60(x9121,x9125)),x9124),f34(x9122,f4(x9123,f60(x9125,a1),x9121),x9121,x9125)))
% 0.87/1.03 [915]~P25(f56(f56(f57(f61(x9154,x9151)),f46(x9155,x9152,x9154,x9151)),x9153))+P25(f56(f56(f57(x9151),x9152),f45(x9153,f25(f56(f5(f54(x9154),x9154,x9154,a1),x9155),f41(f60(x9154,a1)),f60(x9154,a1)),x9154,x9151)))
% 0.87/1.04 [919]P25(f56(f56(f57(f61(x9191,x9192)),f46(x9193,x9194,x9191,x9192)),x9195))+~P25(f56(f56(f57(x9192),x9194),f45(x9195,f25(f56(f5(f54(x9191),x9191,x9191,a1),x9193),f41(f60(x9191,a1)),f60(x9191,a1)),x9191,x9192)))
% 0.87/1.04 [922]E(f56(x9221,x9222),x9223)+~P25(f56(f56(f57(x9224),x9222),f19(f25(f56(f5(f54(x9225),x9225,x9225,a1),x9223),f41(f60(x9225,a1)),f60(x9225,a1)),x9221,x9225,a1,x9224)))
% 0.87/1.04 [926]~P25(f56(f56(f57(x9262),f56(x9263,f38(x9264,x9265,x9263,x9261,x9262))),x9265))+P25(f56(f56(f57(f60(x9261,x9262)),x9263),f34(x9264,f4(x9265,f60(x9262,a1),x9261),x9261,x9262)))
% 0.87/1.04 [927]~P6(x9271,f25(f56(f5(f54(x9272),x9272,x9272,a1),x9273),x9274,f60(x9272,a1)),x9272,x9275)+~P25(f56(f56(f57(x9275),f56(x9271,x9273)),f55(x9271,f27(x9274,f25(f56(f5(f54(x9272),x9272,x9272,a1),x9273),f41(f60(x9272,a1)),f60(x9272,a1)),f60(x9272,a1)),x9272,x9275)))
% 0.87/1.04 [784]~P5(f45(x7843,x7841,x7842,x7844),x7845,f60(x7844,a1))+P5(x7841,f56(f39(f60(x7842,a1)),f45(f44(x7843,x7842,x7844),f56(f39(f60(x7844,a1)),x7845),x7844,x7842)),f60(x7842,a1))
% 0.87/1.04 [810]P5(f45(x8101,x8102,x8103,x8104),x8105,f60(x8104,a1))+~P5(x8102,f56(f39(f60(x8103,a1)),f45(f44(x8101,x8103,x8104),f56(f39(f60(x8104,a1)),x8105),x8104,x8103)),f60(x8103,a1))
% 0.87/1.04 [681]E(x6811,x6812)+~E(f46(x6813,x6811,x6814,x6815),f46(x6816,x6812,x6814,x6815))
% 0.87/1.04 [682]E(x6821,x6822)+~E(f46(x6821,x6823,x6824,x6825),f46(x6822,x6826,x6824,x6825))
% 0.87/1.04 [742]~P12(x7422,x7421,x7424,x7425,x7426)+E(f56(x7421,f56(x7422,x7423)),x7423)
% 0.87/1.04 [765]E(x7651,x7652)+E(f56(f29(x7653,x7651,x7654,x7655,x7656),x7652),f56(x7653,x7652))
% 0.87/1.04 [870]~P25(f56(f56(f57(x8704),x8703),f49(x8701,x8705,x8702,x8706,x8704)))+P25(f56(f56(x8701,x8702),x8703))
% 0.87/1.04 [871]~P25(f56(f56(f57(x8714),x8713),f53(x8715,x8711,x8712,x8716,x8714)))+P25(f56(f56(x8711,x8712),x8713))
% 0.87/1.04 [872]~P25(f56(f56(f57(x8724),x8722),f49(x8725,x8721,x8726,x8723,x8724)))+P25(f56(f56(x8721,x8722),x8723))
% 0.87/1.04 [873]~P25(f56(f56(f57(x8734),x8732),f53(x8731,x8735,x8736,x8733,x8734)))+P25(f56(f56(x8731,x8732),x8733))
% 0.87/1.04 [751]~P12(x7512,x7515,x7514,x7516,x7511)+P25(f56(f56(f57(x7511),f56(x7512,x7513)),x7514))
% 0.87/1.04 [774]E(f56(f32(x7741,x7742,x7743,x7744,x7745),x7746),f56(x7741,x7746))+P25(f56(f56(f57(x7744),x7746),x7743))
% 0.87/1.04 [779]E(f56(f32(x7791,x7792,x7793,x7794,x7795),x7796),f56(x7792,x7796))+~P25(f56(f56(f57(x7794),x7796),x7793))
% 0.87/1.04 [783]E(f55(f29(x7831,x7832,x7833,x7834,x7835),x7836,x7834,x7835),f55(x7831,x7836,x7834,x7835))+P25(f56(f56(f57(x7834),x7832),x7836))
% 0.87/1.04 [916]E(f25(f56(f5(f54(x9161),x9161,x9161,a1),x9162),f55(x9163,f27(x9164,f25(f56(f5(f54(x9165),x9165,x9165,a1),x9166),f41(f60(x9165,a1)),f60(x9165,a1)),f60(x9165,a1)),x9165,x9161),f60(x9161,a1)),f55(f29(x9163,x9166,x9162,x9165,x9161),x9164,x9165,x9161))+~P25(f56(f56(f57(x9165),x9166),x9164))
% 0.87/1.04 [866]E(x8661,x8662)+E(f29(f29(x8663,x8661,x8664,x8665,x8666),x8662,x8667,x8665,x8666),f29(f29(x8663,x8662,x8667,x8665,x8666),x8661,x8664,x8665,x8666))
% 0.87/1.04 [941]~P9(x9412,x9411,x9413,x9415,x9417,x9416,x9419,x9418,x9414)+P9(x9411,x9412,f5(x9413,x9414,x9414,a1),f5(x9415,x9414,x9414,a1),x9416,x9417,x9418,x9419,x9414)
% 0.87/1.04 [931]~P9(x9314,x9311,x9315,x9316,x9317,x9318,x9313,x9319,x9312)+E(f56(x9311,f41(f60(x9312,a1))),x9313)
% 0.87/1.04 [932]~P9(x9321,x9324,x9325,x9326,x9327,x9328,x9329,x9323,x9322)+E(f56(x9321,f41(f60(x9322,a1))),x9323)
% 0.87/1.04 [937]~P9(x9374,x9371,x9375,x9376,x9377,x9378,x9379,x93710,x9372)+E(f56(x9371,f25(f56(f5(f54(x9372),x9372,x9372,a1),x9373),f41(f60(x9372,a1)),f60(x9372,a1))),x9373)
% 0.87/1.04 [938]~P9(x9381,x9384,x9385,x9386,x9387,x9388,x9389,x93810,x9382)+E(f56(x9381,f25(f56(f5(f54(x9382),x9382,x9382,a1),x9383),f41(f60(x9382,a1)),f60(x9382,a1))),x9383)
% 0.87/1.04 [935]~P9(x9356,x9351,x9357,x9358,x9359,x9355,x93510,x93511,x9352)+E(f56(x9351,f25(f56(f5(f54(x9352),x9352,x9352,a1),x9353),x9354,f60(x9352,a1))),f56(f56(x9355,x9353),f56(x9351,x9354)))
% 0.87/1.04 [936]~P9(x9361,x9366,x9367,x9368,x9365,x9369,x93610,x93611,x9362)+E(f56(x9361,f25(f56(f5(f54(x9362),x9362,x9362,a1),x9363),x9364,f60(x9362,a1))),f56(f56(x9365,x9363),f56(x9361,x9364)))
% 0.87/1.04 [939]~P9(x9396,x9391,x9397,x9398,x9399,x9395,x93910,x93911,x9392)+E(f56(x9391,f25(f56(f5(f54(x9392),x9392,x9392,a1),x9393),f25(f56(f5(f54(x9392),x9392,x9392,a1),x9394),f41(f60(x9392,a1)),f60(x9392,a1)),f60(x9392,a1))),f56(f56(x9395,x9393),x9394))
% 0.87/1.04 [940]~P9(x9401,x9406,x9407,x9408,x9405,x9409,x94010,x94011,x9402)+E(f56(x9401,f25(f56(f5(f54(x9402),x9402,x9402,a1),x9403),f25(f56(f5(f54(x9402),x9402,x9402,a1),x9404),f41(f60(x9402,a1)),f60(x9402,a1)),f60(x9402,a1))),f56(f56(x9405,x9403),x9404))
% 0.87/1.04 [442]P5(x4422,x4421,x4423)+~P24(x4423)+P5(x4421,x4422,x4423)
% 0.87/1.04 [445]P11(x4452,x4451,x4453)+~P24(x4453)+P5(x4451,x4452,x4453)
% 0.87/1.04 [452]~P17(x4523)+~P11(x4521,x4522,x4523)+P5(x4521,x4522,x4523)
% 0.87/1.04 [453]~P18(x4533)+~P11(x4531,x4532,x4533)+P5(x4531,x4532,x4533)
% 0.87/1.04 [482]~P11(x4823,x4822,x4821)+~P17(x4821)+~P5(x4822,x4823,x4821)
% 0.87/1.04 [484]~P11(x4843,x4842,x4841)+~P17(x4841)+~P11(x4842,x4843,x4841)
% 0.87/1.04 [485]~P11(x4853,x4852,x4851)+~P18(x4851)+~P11(x4852,x4853,x4851)
% 0.87/1.04 [487]~P11(x4873,x4872,x4871)+~P24(x4871)+~P5(x4872,x4873,x4871)
% 0.87/1.04 [489]~P11(x4893,x4892,x4891)+~P24(x4891)+~P11(x4892,x4893,x4891)
% 0.87/1.04 [436]~P13(x4362)+~E(f25(x4363,x4361,x4362),f41(x4362))+E(x4361,f41(x4362))
% 0.87/1.04 [437]~P13(x4372)+~E(f25(x4371,x4373,x4372),f41(x4372))+E(x4371,f41(x4372))
% 0.87/1.04 [454]~P1(x4543)+~P5(x4541,x4542,x4543)+E(f25(x4541,x4542,x4543),x4542)
% 0.87/1.04 [455]~P1(x4553)+~P5(x4552,x4551,x4553)+E(f25(x4551,x4552,x4553),x4551)
% 0.87/1.04 [456]~P15(x4563)+~P5(x4562,x4561,x4563)+E(f26(x4561,x4562,x4563),x4562)
% 0.87/1.04 [457]~P15(x4573)+~P5(x4571,x4572,x4573)+E(f26(x4571,x4572,x4573),x4571)
% 0.87/1.04 [458]~P1(x4583)+P5(x4581,x4582,x4583)+~E(f25(x4581,x4582,x4583),x4582)
% 0.87/1.04 [459]~P15(x4593)+P5(x4591,x4592,x4593)+~E(f26(x4591,x4592,x4593),x4591)
% 0.87/1.04 [509]E(x5091,x5092)+~P5(x5091,x5092,f60(x5093,a1))+P11(x5091,x5092,f60(x5093,a1))
% 0.87/1.04 [540]E(x5401,x5402)+~P5(x5401,x5402,f60(x5403,a1))+~P5(x5402,x5401,f60(x5403,a1))
% 0.87/1.04 [426]~P14(x4263)+E(x4261,x4262)+~E(f56(f39(x4263),x4261),f56(f39(x4263),x4262))
% 0.87/1.04 [427]~P20(x4273)+E(x4271,x4272)+~E(f56(f39(x4273),x4271),f56(f39(x4273),x4272))
% 0.87/1.04 [517]~P22(x5171)+~P5(x5173,x5172,x5171)+P5(f56(f39(x5171),x5172),f56(f39(x5171),x5173),x5171)
% 0.87/1.04 [518]~P22(x5181)+~P11(x5183,x5182,x5181)+P11(f56(f39(x5181),x5182),f56(f39(x5181),x5183),x5181)
% 0.87/1.04 [532]~P22(x5322)+~P5(x5323,f56(f39(x5322),x5321),x5322)+P5(x5321,f56(f39(x5322),x5323),x5322)
% 0.87/1.04 [534]~P22(x5342)+~P11(x5343,f56(f39(x5342),x5341),x5342)+P11(x5341,f56(f39(x5342),x5343),x5342)
% 0.87/1.04 [536]~P22(x5361)+~P5(f56(f39(x5361),x5363),x5362,x5361)+P5(f56(f39(x5361),x5362),x5363,x5361)
% 0.87/1.04 [538]~P22(x5381)+~P11(f56(f39(x5381),x5383),x5382,x5381)+P11(f56(f39(x5381),x5382),x5383,x5381)
% 0.87/1.04 [556]~P22(x5563)+P5(x5561,x5562,x5563)+~P5(f56(f39(x5563),x5562),f56(f39(x5563),x5561),x5563)
% 0.87/1.04 [557]~P22(x5573)+P11(x5571,x5572,x5573)+~P11(f56(f39(x5573),x5572),f56(f39(x5573),x5571),x5573)
% 0.87/1.04 [822]~P5(x8221,f25(f56(f5(f54(x8222),x8222,x8222,a1),x8223),f41(f60(x8222,a1)),f60(x8222,a1)),f60(x8222,a1))+E(x8221,f25(f56(f5(f54(x8222),x8222,x8222,a1),x8223),f41(f60(x8222,a1)),f60(x8222,a1)))+E(x8221,f41(f60(x8222,a1)))
% 0.87/1.04 [549]~P4(x5493)+P5(x5491,f3(x5492,x5493),x5493)+~P25(f56(f56(f57(x5493),x5491),x5492))
% 0.87/1.04 [550]~P4(x5502)+P5(f24(x5501,x5502),x5503,x5502)+~P25(f56(f56(f57(x5502),x5503),x5501))
% 0.87/1.04 [745]E(x7451,x7452)+P25(f56(f56(f57(f60(f61(a58,a58),a1)),f21(x7453,x7451,x7452)),a6))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7453),a6))
% 0.87/1.04 [746]E(x7461,x7462)+P25(f56(f56(f57(f60(f61(a58,a58),a1)),f22(x7463,x7461,x7462)),a6))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7463),a6))
% 0.87/1.04 [788]E(x7881,x7882)+P25(f56(f56(f57(f61(a58,a58)),f46(x7882,x7881,a58,a58)),f22(x7883,x7882,x7881)))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7883),a6))
% 0.87/1.04 [789]E(x7891,x7892)+P25(f56(f56(f57(f61(a58,a58)),f46(x7891,x7892,a58,a58)),f21(x7893,x7891,x7892)))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x7893),a6))
% 0.87/1.04 [874]~P25(f56(f56(f57(f61(a58,a58)),f46(x8743,x8742,a58,a58)),x8741))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8742,x8743,a58,a58)),x8741))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8741),a6))
% 0.87/1.04 [490]~P21(x4904)+E(x4901,x4902)+~E(f27(x4903,x4903,x4904),f27(x4901,x4902,x4904))
% 0.87/1.04 [491]~P21(x4913)+E(x4911,x4912)+~E(f27(x4911,x4912,x4913),f27(x4914,x4914,x4913))
% 0.87/1.04 [502]~P5(x5023,x5021,f60(x5024,a1))+P25(f56(x5021,x5022))+~P25(f56(x5023,x5022))
% 0.87/1.04 [512]~P3(x5124)+P5(x5121,x5122,f60(x5123,x5124))+~P11(x5121,x5122,f60(x5123,x5124))
% 0.87/1.04 [541]~P1(x5414)+~P5(x5411,x5413,x5414)+P5(x5411,f25(x5412,x5413,x5414),x5414)
% 0.87/1.04 [542]~P1(x5424)+~P5(x5421,x5422,x5424)+P5(x5421,f25(x5422,x5423,x5424),x5424)
% 0.87/1.04 [543]~P1(x5434)+~P11(x5431,x5433,x5434)+P11(x5431,f25(x5432,x5433,x5434),x5434)
% 0.87/1.04 [544]~P1(x5444)+~P11(x5441,x5442,x5444)+P11(x5441,f25(x5442,x5443,x5444),x5444)
% 0.87/1.04 [545]~P15(x5453)+~P5(x5452,x5454,x5453)+P5(f26(x5451,x5452,x5453),x5454,x5453)
% 0.87/1.04 [546]~P15(x5463)+~P5(x5461,x5464,x5463)+P5(f26(x5461,x5462,x5463),x5464,x5463)
% 0.87/1.04 [547]~P15(x5473)+~P11(x5472,x5474,x5473)+P11(f26(x5471,x5472,x5473),x5474,x5473)
% 0.87/1.04 [548]~P15(x5483)+~P11(x5481,x5484,x5483)+P11(f26(x5481,x5482,x5483),x5484,x5483)
% 0.87/1.04 [551]~P3(x5511)+~P5(x5512,x5513,f60(x5514,x5511))+~P11(x5513,x5512,f60(x5514,x5511))
% 0.87/1.04 [560]~P15(x5603)+P5(x5601,x5602,x5603)+~P5(x5601,f26(x5604,x5602,x5603),x5603)
% 0.87/1.04 [562]~P15(x5623)+P5(x5621,x5622,x5623)+~P5(x5621,f26(x5622,x5624,x5623),x5623)
% 0.87/1.04 [564]~P1(x5643)+P5(x5641,x5642,x5643)+~P5(f25(x5644,x5641,x5643),x5642,x5643)
% 0.87/1.04 [566]~P1(x5663)+P5(x5661,x5662,x5663)+~P5(f25(x5661,x5664,x5663),x5662,x5663)
% 0.87/1.04 [571]~P5(x5711,x5714,f60(x5713,a1))+~P5(x5714,x5712,f60(x5713,a1))+P5(x5711,x5712,f60(x5713,a1))
% 0.87/1.04 [572]~P11(x5721,x5724,f60(x5723,a1))+~P5(x5724,x5722,f60(x5723,a1))+P11(x5721,x5722,f60(x5723,a1))
% 0.87/1.04 [573]~P11(x5734,x5732,f60(x5733,a1))+~P5(x5731,x5734,f60(x5733,a1))+P11(x5731,x5732,f60(x5733,a1))
% 0.87/1.04 [574]~P11(x5741,x5744,f60(x5743,a1))+~P11(x5744,x5742,f60(x5743,a1))+P11(x5741,x5742,f60(x5743,a1))
% 0.87/1.04 [598]~P4(x5984)+E(f28(x5981,f4(x5983,x5984,x5982),x5982,x5984),x5983)+E(x5981,f41(f60(x5982,a1)))
% 0.87/1.04 [629]~P5(x6291,x6292,f60(x6294,a1))+~P5(x6291,x6293,f60(x6294,a1))+P5(x6291,f26(x6292,x6293,f60(x6294,a1)),f60(x6294,a1))
% 0.87/1.04 [631]~P5(x6311,x6314,f60(x6313,a1))+~P5(x6312,x6314,f60(x6313,a1))+P5(f25(x6311,x6312,f60(x6313,a1)),x6314,f60(x6313,a1))
% 0.87/1.04 [632]~P5(x6321,x6322,f60(x6324,a1))+~P5(x6323,x6321,f60(x6324,a1))+E(f27(x6321,f27(x6322,x6323,f60(x6324,a1)),f60(x6324,a1)),x6323)
% 0.87/1.04 [602]~P5(x6024,x6023,f60(x6021,a1))+~P25(f56(f56(f57(x6021),x6022),x6024))+P25(f56(f56(f57(x6021),x6022),x6023))
% 0.87/1.04 [603]~P11(x6034,x6033,f60(x6031,a1))+~P25(f56(f56(f57(x6031),x6032),x6034))+P25(f56(f56(f57(x6031),x6032),x6033))
% 0.87/1.04 [605]~P25(f56(x6052,x6054))+~P25(f56(x6051,x6054))+P25(f56(f26(x6051,x6052,f60(x6053,a1)),x6054))
% 0.87/1.04 [622]~P25(f56(x6221,x6224))+P25(f56(x6221,f7(x6222,x6221,x6223)))+~P25(f56(f56(f57(x6223),x6224),x6222))
% 0.87/1.04 [623]~P25(f56(x6231,x6234))+P25(f56(x6231,f15(x6232,x6231,x6233)))+~P25(f56(f56(f57(x6233),x6234),x6232))
% 0.87/1.04 [624]~P25(f56(x6241,x6244))+P25(f56(x6241,f16(x6242,x6241,x6243)))+~P25(f56(f56(f57(x6243),x6244),x6242))
% 0.87/1.04 [625]~P25(f56(x6251,x6254))+P25(f56(x6251,f17(x6252,x6251,x6253)))+~P25(f56(f56(f57(x6253),x6254),x6252))
% 0.87/1.04 [633]~E(f26(x6331,x6332,f60(x6333,a1)),f41(f60(x6333,a1)))+~P25(f56(f56(f57(x6333),x6334),x6331))+~P25(f56(f56(f57(x6333),x6334),x6332))
% 0.87/1.04 [639]P25(f56(x6391,x6392))+~P25(f56(x6391,f11(x6393,x6391,x6394)))+~P25(f56(f56(f57(x6394),x6392),x6393))
% 0.87/1.04 [644]P25(f56(x6441,x6442))+P25(f56(x6443,x6442))+~P25(f56(f25(x6441,x6443,f60(x6444,a1)),x6442))
% 0.87/1.04 [654]~P25(f56(x6544,x6542))+~P25(f56(f56(f57(x6541),x6542),x6543))+P25(f56(f56(f57(x6541),x6542),f26(x6543,x6544,f60(x6541,a1))))
% 0.87/1.04 [660]~P25(f56(f56(f57(x6601),x6602),x6604))+P25(f56(f56(f57(x6601),x6602),x6603))+P25(f56(f56(f57(x6601),x6602),f27(x6604,x6603,f60(x6601,a1))))
% 0.87/1.04 [662]P25(f56(x6621,x6622))+P25(f56(f56(f57(x6623),f11(x6624,x6621,x6623)),x6624))+~P25(f56(f56(f57(x6623),x6622),x6624))
% 0.87/1.04 [665]~P25(f56(f56(f57(x6651),x6652),x6654))+~P25(f56(f56(f57(x6651),x6652),x6653))+P25(f56(f56(f57(x6651),x6652),f26(x6653,x6654,f60(x6651,a1))))
% 0.87/1.04 [667]~P25(f56(x6673,x6674))+~P25(f56(f56(f57(x6671),x6674),x6672))+P25(f56(f56(f57(x6671),f7(x6672,x6673,x6671)),x6672))
% 0.87/1.04 [668]~P25(f56(x6683,x6684))+~P25(f56(f56(f57(x6681),x6684),x6682))+P25(f56(f56(f57(x6681),f15(x6682,x6683,x6681)),x6682))
% 0.87/1.04 [669]~P25(f56(x6693,x6694))+~P25(f56(f56(f57(x6691),x6694),x6692))+P25(f56(f56(f57(x6691),f16(x6692,x6693,x6691)),x6692))
% 0.87/1.04 [670]~P25(f56(x6703,x6704))+~P25(f56(f56(f57(x6701),x6704),x6702))+P25(f56(f56(f57(x6701),f17(x6702,x6703,x6701)),x6702))
% 0.87/1.04 [688]P25(f56(f56(f57(x6881),x6882),x6883))+P25(f56(f56(f57(x6881),x6882),x6884))+~P25(f56(f56(f57(x6881),x6882),f25(x6883,x6884,f60(x6881,a1))))
% 0.87/1.04 [775]~P11(x7751,x7754,f60(x7752,a1))+P11(x7751,f25(f56(f5(f54(x7752),x7752,x7752,a1),x7753),x7754,f60(x7752,a1)),f60(x7752,a1))+~P25(f56(f56(f57(x7752),x7753),x7754))
% 0.87/1.04 [776]~P5(x7763,x7764,f60(x7761,a1))+P5(f25(f56(f5(f54(x7761),x7761,x7761,a1),x7762),x7763,f60(x7761,a1)),x7764,f60(x7761,a1))+~P25(f56(f56(f57(x7761),x7762),x7764))
% 0.87/1.04 [804]P5(x8041,x8042,f60(x8043,a1))+~P5(x8041,f25(f56(f5(f54(x8043),x8043,x8043,a1),x8044),x8042,f60(x8043,a1)),f60(x8043,a1))+P25(f56(f56(f57(x8043),x8044),x8041))
% 0.87/1.04 [807]P11(x8071,x8072,f60(x8073,a1))+~P11(x8071,f25(f56(f5(f54(x8073),x8073,x8073,a1),x8074),x8072,f60(x8073,a1)),f60(x8073,a1))+~P25(f56(f56(f57(x8073),x8074),x8072))
% 0.87/1.04 [839]E(x8391,x8392)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8393,x8391,a58,a58)),f23(x8394,x8392)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8393,x8391,a58,a58)),x8394))
% 0.87/1.04 [840]E(x8401,x8402)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8401,x8403,a58,a58)),f20(x8404,x8402)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8401,x8403,a58,a58)),x8404))
% 0.87/1.04 [865]E(x8651,x8652)+P25(f56(x8653,x8651))+~P25(f56(f25(f56(f5(f54(x8654),x8654,x8654,a1),x8652),x8653,f60(x8654,a1)),x8651))
% 0.87/1.04 [867]E(x8671,x8672)+P25(f56(f56(f57(x8673),x8671),x8674))+~P25(f56(f56(f57(x8673),x8671),f25(f56(f5(f54(x8673),x8673,x8673,a1),x8672),x8674,f60(x8673,a1))))
% 0.87/1.04 [878]~P5(x8781,f25(f56(f5(f54(x8782),x8782,x8782,a1),x8783),x8784,f60(x8782,a1)),f60(x8782,a1))+P5(f27(x8781,f25(f56(f5(f54(x8782),x8782,x8782,a1),x8783),f41(f60(x8782,a1)),f60(x8782,a1)),f60(x8782,a1)),x8784,f60(x8782,a1))+~P25(f56(f56(f57(x8782),x8783),x8781))
% 0.87/1.04 [888]~P5(f27(x8881,f25(f56(f5(f54(x8882),x8882,x8882,a1),x8883),f41(f60(x8882,a1)),f60(x8882,a1)),f60(x8882,a1)),x8884,f60(x8882,a1))+P5(x8881,f25(f56(f5(f54(x8882),x8882,x8882,a1),x8883),x8884,f60(x8882,a1)),f60(x8882,a1))+~P25(f56(f56(f57(x8882),x8883),x8881))
% 0.87/1.04 [687]~E(f26(f3(x6874,f60(x6873,a1)),x6872,f60(x6873,a1)),f41(f60(x6873,a1)))+E(f26(x6871,x6872,f60(x6873,a1)),f41(f60(x6873,a1)))+~P25(f56(f56(f57(f60(x6873,a1)),x6871),x6874))
% 0.87/1.04 [689]~P25(f56(f56(f57(x6891),x6892),x6894))+P25(f56(f56(f57(x6891),x6892),f3(x6893,f60(x6891,a1))))+~P25(f56(f56(f57(f60(x6891,a1)),x6894),x6893))
% 0.87/1.04 [699]P25(f56(f56(f57(x6991),x6992),x6993))+~P25(f56(f56(f57(x6991),x6992),f24(x6994,f60(x6991,a1))))+~P25(f56(f56(f57(f60(x6991,a1)),x6993),x6994))
% 0.87/1.04 [901]~P8(x9014,x9013,x9011)+~P25(f56(f56(f57(x9011),x9012),x9014))+P25(f56(f56(f57(x9011),x9012),f45(x9013,f25(f56(f5(f54(x9011),x9011,x9011,a1),x9012),f41(f60(x9011,a1)),f60(x9011,a1)),x9011,x9011)))
% 0.87/1.04 [818]E(x8181,x8182)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8184,x8184,a58,a58)),f21(x8183,x8181,x8182)))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8183),a6))
% 0.87/1.04 [819]E(x8191,x8192)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8194,x8194,a58,a58)),f22(x8193,x8191,x8192)))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8193),a6))
% 0.87/1.04 [529]~P3(x5294)+P5(f56(x5291,x5292),f56(x5293,x5292),x5294)+~P5(x5291,x5293,f60(x5295,x5294))
% 0.87/1.04 [676]P6(x6761,x6762,x6763,x6764)+~P6(x6761,x6765,x6763,x6764)+~P5(x6762,x6765,f60(x6763,a1))
% 0.87/1.04 [651]~P5(x6511,x6514,f60(x6513,a1))+~P5(x6512,x6515,f60(x6513,a1))+P5(f25(x6511,x6512,f60(x6513,a1)),f25(x6514,x6515,f60(x6513,a1)),f60(x6513,a1))
% 0.87/1.04 [652]~P5(x6521,x6524,f60(x6523,a1))+~P5(x6522,x6525,f60(x6523,a1))+P5(f26(x6521,x6522,f60(x6523,a1)),f26(x6524,x6525,f60(x6523,a1)),f60(x6523,a1))
% 0.87/1.04 [653]~P5(x6531,x6534,f60(x6533,a1))+~P5(x6535,x6532,f60(x6533,a1))+P5(f27(x6531,x6532,f60(x6533,a1)),f27(x6534,x6535,f60(x6533,a1)),f60(x6533,a1))
% 0.87/1.04 [718]~P25(f56(f56(x7183,x7184),x7182))+~P25(f56(f56(x7183,x7182),x7185))+P25(f56(f56(f57(x7181),x7182),f48(x7183,x7184,x7185,x7181)))
% 0.87/1.04 [719]~P25(f56(f56(x7193,x7194),x7192))+~P25(f56(f56(x7193,x7192),x7195))+P25(f56(f56(f57(x7191),x7192),f52(x7193,x7194,x7195,x7191)))
% 0.87/1.04 [726]E(x7261,x7262)+~E(f55(x7263,x7261,x7264,x7265),f55(x7263,x7262,x7264,x7265))+~P6(x7263,f25(x7261,x7262,f60(x7264,a1)),x7264,x7265)
% 0.87/1.04 [902]E(x9021,x9022)+E(x9021,x9023)+~E(f25(f56(f5(f54(x9024),x9024,x9024,a1),x9025),f25(f56(f5(f54(x9024),x9024,x9024,a1),x9021),f41(f60(x9024,a1)),f60(x9024,a1)),f60(x9024,a1)),f25(f56(f5(f54(x9024),x9024,x9024,a1),x9023),f25(f56(f5(f54(x9024),x9024,x9024,a1),x9022),f41(f60(x9024,a1)),f60(x9024,a1)),f60(x9024,a1)))
% 0.87/1.04 [903]E(x9031,x9032)+E(x9033,x9032)+~E(f25(f56(f5(f54(x9034),x9034,x9034,a1),x9033),f25(f56(f5(f54(x9034),x9034,x9034,a1),x9031),f41(f60(x9034,a1)),f60(x9034,a1)),f60(x9034,a1)),f25(f56(f5(f54(x9034),x9034,x9034,a1),x9035),f25(f56(f5(f54(x9034),x9034,x9034,a1),x9032),f41(f60(x9034,a1)),f60(x9034,a1)),f60(x9034,a1)))
% 0.87/1.04 [904]E(x9041,x9042)+E(x9043,x9042)+~E(f25(f56(f5(f54(x9044),x9044,x9044,a1),x9043),f25(f56(f5(f54(x9044),x9044,x9044,a1),x9041),f41(f60(x9044,a1)),f60(x9044,a1)),f60(x9044,a1)),f25(f56(f5(f54(x9044),x9044,x9044,a1),x9042),f25(f56(f5(f54(x9044),x9044,x9044,a1),x9045),f41(f60(x9044,a1)),f60(x9044,a1)),f60(x9044,a1)))
% 0.87/1.04 [905]E(x9051,x9052)+E(x9051,x9053)+~E(f25(f56(f5(f54(x9054),x9054,x9054,a1),x9051),f25(f56(f5(f54(x9054),x9054,x9054,a1),x9055),f41(f60(x9054,a1)),f60(x9054,a1)),f60(x9054,a1)),f25(f56(f5(f54(x9054),x9054,x9054,a1),x9053),f25(f56(f5(f54(x9054),x9054,x9054,a1),x9052),f41(f60(x9054,a1)),f60(x9054,a1)),f60(x9054,a1)))
% 0.87/1.04 [657]E(f56(x6571,x6572),f41(f60(x6573,a1)))+~E(f28(x6574,x6571,x6575,f60(x6573,a1)),f41(f60(x6573,a1)))+~P25(f56(f56(f57(x6575),x6572),x6574))
% 0.87/1.04 [666]~P4(x6665)+P5(f56(x6661,x6662),f28(x6663,x6661,x6664,x6665),x6665)+~P25(f56(f56(f57(x6664),x6662),x6663))
% 0.87/1.04 [698]E(f56(x6981,x6982),f40(x6983))+~P25(f56(f56(f57(f60(x6984,x6983)),x6981),f33(x6985,x6984,x6983)))+P25(f56(f56(f57(x6984),x6982),x6985))
% 0.87/1.04 [711]~P25(f56(x7111,x7115))+P25(f56(x7111,f18(x7112,x7113,x7111,x7114)))+~P25(f56(f56(f57(x7114),x7115),x7113))
% 0.87/1.04 [712]~P25(f56(x7121,x7125))+P25(f56(x7121,f18(x7122,x7123,x7121,x7124)))+~P25(f56(f56(f57(x7124),x7125),x7122))
% 0.87/1.04 [756]P25(f56(x7561,x7562))+P25(f56(f56(f57(x7563),f13(x7564,x7565,x7561,x7563)),x7564))+~P25(f56(f56(f57(x7563),x7562),x7564))
% 0.87/1.04 [757]P25(f56(x7571,x7572))+P25(f56(f56(f57(x7573),f13(x7574,x7571,x7575,x7573)),x7574))+~P25(f56(f56(f57(x7573),x7572),x7574))
% 0.87/1.04 [777]~P25(f56(x7774,x7775))+~P25(f56(f56(f57(x7771),x7775),x7773))+P25(f56(f56(f57(x7771),f18(x7772,x7773,x7774,x7771)),f25(x7772,x7773,f60(x7771,a1))))
% 0.87/1.04 [778]~P25(f56(x7784,x7785))+~P25(f56(f56(f57(x7781),x7785),x7782))+P25(f56(f56(f57(x7781),f18(x7782,x7783,x7784,x7781)),f25(x7782,x7783,f60(x7781,a1))))
% 0.87/1.04 [805]~P8(x8053,x8054,x8051)+~P25(f56(f56(f57(f61(x8051,x8051)),f46(x8055,x8052,x8051,x8051)),x8054))+P25(f56(f56(f57(x8051),x8052),x8053))
% 0.87/1.04 [806]~P8(x8063,x8064,x8061)+~P25(f56(f56(f57(f61(x8061,x8061)),f46(x8062,x8065,x8061,x8061)),x8064))+P25(f56(f56(f57(x8061),x8062),x8063))
% 0.87/1.04 [882]~P8(x8825,x8821,x8822)+E(f45(x8821,f25(f56(f5(f54(x8822),x8822,x8822,a1),x8823),f41(f60(x8822,a1)),f60(x8822,a1)),x8822,x8822),f45(x8821,f25(f56(f5(f54(x8822),x8822,x8822,a1),x8824),f41(f60(x8822,a1)),f60(x8822,a1)),x8822,x8822))+~P25(f56(f56(f57(f61(x8822,x8822)),f46(x8823,x8824,x8822,x8822)),x8821))
% 0.87/1.04 [917]~P8(x9175,x9171,x9172)+P5(f45(x9171,f25(f56(f5(f54(x9172),x9172,x9172,a1),x9173),f41(f60(x9172,a1)),f60(x9172,a1)),x9172,x9172),f45(x9171,f25(f56(f5(f54(x9172),x9172,x9172,a1),x9174),f41(f60(x9172,a1)),f60(x9172,a1)),x9172,x9172),f60(x9172,a1))+~P25(f56(f56(f57(f61(x9172,x9172)),f46(x9173,x9174,x9172,x9172)),x9171))
% 0.87/1.04 [925]~P6(x9251,x9254,x9252,x9255)+P6(x9251,f25(f56(f5(f54(x9252),x9252,x9252,a1),x9253),x9254,f60(x9252,a1)),x9252,x9255)+P25(f56(f56(f57(x9255),f56(x9251,x9253)),f55(x9251,f27(x9254,f25(f56(f5(f54(x9252),x9252,x9252,a1),x9253),f41(f60(x9252,a1)),f60(x9252,a1)),f60(x9252,a1)),x9252,x9255)))
% 0.87/1.04 [812]~P6(x8121,x8126,x8124,x8125)+P6(f29(x8121,x8122,x8123,x8124,x8125),x8126,x8124,x8125)+P25(f56(f56(f57(x8125),x8123),f55(x8121,x8126,x8124,x8125)))
% 0.87/1.04 [825]~P25(f56(f56(x8254,x8252),x8256))+~P25(f56(f56(x8253,x8255),x8252))+P25(f56(f56(f57(x8251),x8252),f49(x8253,x8254,x8255,x8256,x8251)))
% 0.87/1.04 [826]~P25(f56(f56(x8264,x8265),x8262))+~P25(f56(f56(x8263,x8262),x8266))+P25(f56(f56(f57(x8261),x8262),f53(x8263,x8264,x8265,x8266,x8261)))
% 0.87/1.04 [713]P5(f56(x7131,x7132),x7133,f60(x7134,a1))+~P5(f28(x7136,x7131,x7135,f60(x7134,a1)),x7133,f60(x7134,a1))+~P25(f56(f56(f57(x7135),x7132),x7136))
% 0.87/1.04 [716]~P5(f55(x7162,x7166,x7165,x7161),x7164,f60(x7161,a1))+P25(f56(f56(f57(x7161),f56(x7162,x7163)),x7164))+~P25(f56(f56(f57(x7165),x7163),x7166))
% 0.87/1.04 [725]~P25(f56(f56(x7252,x7256),x7255))+~P25(f56(f56(f57(x7253),x7256),x7251))+P25(f56(f28(x7251,x7252,x7253,f60(x7254,a1)),x7255))
% 0.87/1.04 [730]~P25(f56(f56(f57(x7301),x7302),f56(x7304,x7306)))+~P25(f56(f56(f57(x7305),x7306),x7303))+P25(f56(f56(f57(x7301),x7302),f28(x7303,x7304,x7305,f60(x7301,a1))))
% 0.87/1.04 [750]~P12(x7501,x7502,x7504,x7505,x7506)+E(f56(x7501,f56(x7502,x7503)),x7503)+~P25(f56(f56(f57(x7506),x7503),x7504))
% 0.87/1.04 [768]~P25(f56(f56(f57(f60(x7685,x7681)),x7682),f34(x7686,x7684,x7685,x7681)))+P25(f56(f56(f57(x7681),f56(x7682,x7683)),f56(x7684,x7683)))+~P25(f56(f56(f57(x7685),x7683),x7686))
% 0.87/1.04 [821]P25(f56(f56(f57(x8211),x8212),f45(x8213,x8214,x8215,x8211)))+~P25(f56(f56(f57(f61(x8215,x8211)),f46(x8216,x8212,x8215,x8211)),x8213))+~P25(f56(f56(f57(x8215),x8216),x8214))
% 0.87/1.04 [930]~P8(x9305,x9304,x9301)+P25(f56(f56(f57(f61(x9301,x9301)),f46(x9302,x9303,x9301,x9301)),x9304))+~P25(f56(f56(f57(x9301),x9306),f26(f45(x9304,f25(f56(f5(f54(x9301),x9301,x9301,a1),x9302),f41(f60(x9301,a1)),f60(x9301,a1)),x9301,x9301),f45(x9304,f25(f56(f5(f54(x9301),x9301,x9301,a1),x9303),f41(f60(x9301,a1)),f60(x9301,a1)),x9301,x9301),f60(x9301,a1))))
% 0.87/1.04 [790]P25(f56(f56(f57(x7901),f56(x7902,x7903)),x7904))+~P25(f56(f56(f57(x7905),x7903),x7906))+~P25(f56(f56(f57(f60(x7905,x7901)),x7902),f34(x7906,f4(x7904,f60(x7901,a1),x7905),x7905,x7901)))
% 0.87/1.04 [743]E(x7431,x7432)+~P12(x7433,x7434,x7435,x7436,x7437)+~E(f56(x7433,x7431),f56(x7433,x7432))
% 0.87/1.04 [918]~P7(x9184,x9185,x9183,x9186,x9181,x9187)+P7(x9184,x9185,f25(f56(f5(f54(x9181),x9181,x9181,a1),x9182),x9183,f60(x9181,a1)),f56(f56(x9184,x9182),x9186),x9181,x9187)+P25(f56(f56(f57(x9181),x9182),x9183))
% 0.87/1.04 [923]P7(x9231,x9232,x9233,f56(f56(x9231,x9234),x9235),x9236,x9237)+~P7(x9231,x9232,f27(x9233,f25(f56(f5(f54(x9236),x9236,x9236,a1),x9234),f41(f60(x9236,a1)),f60(x9236,a1)),f60(x9236,a1)),x9235,x9236,x9237)+~P25(f56(f56(f57(x9236),x9234),x9233))
% 0.87/1.04 [924]P10(x9241,x9242,x9243,f56(f56(x9241,x9244),x9245),x9246,x9247)+~P10(x9241,x9242,f27(x9243,f25(f56(f5(f54(x9246),x9246,x9246,a1),x9244),f41(f60(x9246,a1)),f60(x9246,a1)),f60(x9246,a1)),x9245,x9246,x9247)+~P25(f56(f56(f57(x9246),x9244),x9243))
% 0.87/1.04 [786]~P25(f56(f56(f56(x7862,x7868),x7866),x7867))+~P25(f56(f56(f57(x7863),x7868),x7861))+P25(f56(f56(f28(x7861,x7862,x7863,f60(x7864,f60(x7865,a1))),x7866),x7867))
% 0.87/1.04 [933]~P9(x9336,x9333,x9331,x9337,x9338,x9339,x93310,x93311,x9335)+P25(f56(f56(x9331,x9332),f56(x9333,x9334)))+~P25(f56(f56(f57(x9335),x9332),x9334))
% 0.87/1.04 [934]~P9(x9342,x9346,x9341,x9347,x9348,x9349,x93410,x93411,x9345)+P25(f56(f56(x9341,f56(x9342,x9343)),x9344))+~P25(f56(f56(f57(x9345),x9344),x9343))
% 0.87/1.04 [450]P11(x4501,x4502,x4503)+~P24(x4503)+E(x4501,x4502)+P11(x4502,x4501,x4503)
% 0.87/1.04 [451]P11(x4511,x4512,x4513)+~P26(x4513)+E(x4511,x4512)+P11(x4512,x4511,x4513)
% 0.87/1.04 [465]~P18(x4653)+~P5(x4651,x4652,x4653)+E(x4651,x4652)+P11(x4651,x4652,x4653)
% 0.87/1.04 [467]~P24(x4673)+~P5(x4671,x4672,x4673)+E(x4671,x4672)+P11(x4671,x4672,x4673)
% 0.87/1.04 [494]~P5(x4942,x4941,x4943)+~P5(x4941,x4942,x4943)+E(x4941,x4942)+~P18(x4943)
% 0.87/1.04 [510]P11(x5102,x5101,x5103)+~P17(x5103)+~P5(x5102,x5101,x5103)+P5(x5101,x5102,x5103)
% 0.87/1.04 [832]E(x8321,x8322)+P25(f56(f56(f57(f61(a58,a58)),f46(x8321,x8322,a58,a58)),x8323))+P25(f56(f56(f57(f61(a58,a58)),f46(x8322,x8321,a58,a58)),x8323))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8323),a6))
% 0.87/1.04 [846]E(x8461,x8462)+P25(f56(f56(f57(f61(a58,a58)),f46(x8461,x8462,a58,a58)),f22(x8463,x8461,x8462)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8461,x8462,a58,a58)),x8463))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8463),a6))
% 0.87/1.04 [521]~P17(x5213)+~P5(x5211,x5214,x5213)+P5(x5211,x5212,x5213)+~P5(x5214,x5212,x5213)
% 0.87/1.04 [522]~P18(x5223)+~P5(x5221,x5224,x5223)+P5(x5221,x5222,x5223)+~P5(x5224,x5222,x5223)
% 0.87/1.04 [523]~P17(x5233)+~P11(x5231,x5234,x5233)+P11(x5231,x5232,x5233)+~P5(x5234,x5232,x5233)
% 0.87/1.04 [524]~P17(x5243)+~P11(x5244,x5242,x5243)+P11(x5241,x5242,x5243)+~P5(x5241,x5244,x5243)
% 0.87/1.04 [525]~P17(x5253)+~P11(x5251,x5254,x5253)+P11(x5251,x5252,x5253)+~P11(x5254,x5252,x5253)
% 0.87/1.04 [526]~P18(x5263)+~P11(x5261,x5264,x5263)+P11(x5261,x5262,x5263)+~P5(x5264,x5262,x5263)
% 0.87/1.04 [527]~P18(x5273)+~P11(x5274,x5272,x5273)+P11(x5271,x5272,x5273)+~P5(x5271,x5274,x5273)
% 0.87/1.04 [528]~P18(x5283)+~P11(x5281,x5284,x5283)+P11(x5281,x5282,x5283)+~P11(x5284,x5282,x5283)
% 0.87/1.04 [558]~P3(x5584)+P5(x5581,x5582,f60(x5583,x5584))+P11(x5582,x5581,f60(x5583,x5584))+~P5(x5582,x5581,f60(x5583,x5584))
% 0.87/1.04 [587]~P15(x5874)+~P5(x5871,x5873,x5874)+~P5(x5871,x5872,x5874)+P5(x5871,f26(x5872,x5873,x5874),x5874)
% 0.87/1.04 [590]~P1(x5903)+~P5(x5902,x5904,x5903)+~P5(x5901,x5904,x5903)+P5(f25(x5901,x5902,x5903),x5904,x5903)
% 0.87/1.04 [891]~P11(x8911,x8914,f60(x8912,a1))+~P5(x8911,x8914,f60(x8912,a1))+~P11(f27(x8911,f25(f56(f5(f54(x8912),x8912,x8912,a1),x8913),f41(f60(x8912,a1)),f60(x8912,a1)),f60(x8912,a1)),x8914,f60(x8912,a1))+P11(x8911,f25(f56(f5(f54(x8912),x8912,x8912,a1),x8913),x8914,f60(x8912,a1)),f60(x8912,a1))
% 0.87/1.04 [780]~P5(x7804,x7803,f60(x7801,a1))+P11(x7804,f25(f56(f5(f54(x7801),x7801,x7801,a1),x7802),x7803,f60(x7801,a1)),f60(x7801,a1))+P25(f56(f56(f57(x7801),x7802),x7803))+P25(f56(f56(f57(x7801),x7802),x7804))
% 0.87/1.04 [781]~P11(x7813,x7814,f60(x7811,a1))+~P5(x7813,x7814,f60(x7811,a1))+P11(x7813,f25(f56(f5(f54(x7811),x7811,x7811,a1),x7812),x7814,f60(x7811,a1)),f60(x7811,a1))+P25(f56(f56(f57(x7811),x7812),x7813))
% 0.87/1.04 [798]E(x7981,x7982)+~E(f25(f56(f5(f54(x7983),x7983,x7983,a1),x7984),x7981,f60(x7983,a1)),f25(f56(f5(f54(x7983),x7983,x7983,a1),x7984),x7982,f60(x7983,a1)))+P25(f56(f56(f57(x7983),x7984),x7982))+P25(f56(f56(f57(x7983),x7984),x7981))
% 0.87/1.04 [809]P5(x8091,x8092,f60(x8093,a1))+~P11(x8091,f25(f56(f5(f54(x8093),x8093,x8093,a1),x8094),x8092,f60(x8093,a1)),f60(x8093,a1))+P25(f56(f56(f57(x8093),x8094),x8092))+P25(f56(f56(f57(x8093),x8094),x8091))
% 0.87/1.04 [835]E(x8351,x8352)+E(x8353,x8352)+P25(f56(f56(f57(f61(a58,a58)),f46(x8353,x8351,a58,a58)),f20(x8354,x8352)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8353,x8351,a58,a58)),x8354))
% 0.87/1.04 [836]E(x8361,x8362)+E(x8363,x8362)+P25(f56(f56(f57(f61(a58,a58)),f46(x8363,x8361,a58,a58)),f23(x8364,x8362)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8363,x8361,a58,a58)),x8364))
% 0.87/1.04 [837]E(x8371,x8372)+E(x8373,x8371)+P25(f56(f56(f57(f61(a58,a58)),f46(x8373,x8371,a58,a58)),f20(x8374,x8372)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8373,x8371,a58,a58)),x8374))
% 0.87/1.04 [838]E(x8381,x8382)+E(x8381,x8383)+P25(f56(f56(f57(f61(a58,a58)),f46(x8381,x8383,a58,a58)),f23(x8384,x8382)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8381,x8383,a58,a58)),x8384))
% 0.87/1.04 [879]~P11(x8794,f25(f56(f5(f54(x8791),x8791,x8791,a1),x8792),x8793,f60(x8791,a1)),f60(x8791,a1))+P11(f27(x8794,f25(f56(f5(f54(x8791),x8791,x8791,a1),x8792),f41(f60(x8791,a1)),f60(x8791,a1)),f60(x8791,a1)),x8793,f60(x8791,a1))+~P25(f56(f56(f57(x8791),x8792),x8794))+P25(f56(f56(f57(x8791),x8792),x8793))
% 0.87/1.04 [890]~P5(x8904,x8903,f60(x8901,a1))+~P11(f27(x8904,f25(f56(f5(f54(x8901),x8901,x8901,a1),x8902),f41(f60(x8901,a1)),f60(x8901,a1)),f60(x8901,a1)),x8903,f60(x8901,a1))+P11(x8904,f25(f56(f5(f54(x8901),x8901,x8901,a1),x8902),x8903,f60(x8901,a1)),f60(x8901,a1))+P25(f56(f56(f57(x8901),x8902),x8903))
% 0.87/1.04 [892]~P11(f27(x8924,f25(f56(f5(f54(x8921),x8921,x8921,a1),x8922),f41(f60(x8921,a1)),f60(x8921,a1)),f60(x8921,a1)),x8923,f60(x8921,a1))+P11(x8924,f25(f56(f5(f54(x8921),x8921,x8921,a1),x8922),x8923,f60(x8921,a1)),f60(x8921,a1))+~P25(f56(f56(f57(x8921),x8922),x8924))+P25(f56(f56(f57(x8921),x8922),x8923))
% 0.87/1.04 [893]~P11(x8931,x8934,f60(x8932,a1))+~P11(f27(x8931,f25(f56(f5(f54(x8932),x8932,x8932,a1),x8933),f41(f60(x8932,a1)),f60(x8932,a1)),f60(x8932,a1)),x8934,f60(x8932,a1))+P11(x8931,f25(f56(f5(f54(x8932),x8932,x8932,a1),x8933),x8934,f60(x8932,a1)),f60(x8932,a1))+~P25(f56(f56(f57(x8932),x8933),x8931))
% 0.87/1.04 [859]E(x8591,x8592)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8593,x8591,a58,a58)),f22(x8594,x8591,x8592)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8593,x8592,a58,a58)),x8594))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8594),a6))
% 0.87/1.04 [860]E(x8601,x8602)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8601,x8603,a58,a58)),f21(x8604,x8602,x8601)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8602,x8603,a58,a58)),x8604))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8604),a6))
% 0.87/1.04 [567]~P22(x5673)+~P5(x5675,x5674,x5673)+P5(x5671,x5672,x5673)+~E(f27(x5674,x5675,x5673),f27(x5672,x5671,x5673))
% 0.87/1.04 [568]~P22(x5683)+~P5(x5685,x5684,x5683)+P5(x5681,x5682,x5683)+~E(f27(x5682,x5681,x5683),f27(x5684,x5685,x5683))
% 0.87/1.04 [569]~P22(x5693)+~P11(x5694,x5695,x5693)+P11(x5691,x5692,x5693)+~E(f27(x5694,x5695,x5693),f27(x5691,x5692,x5693))
% 0.87/1.04 [570]~P22(x5703)+~P11(x5704,x5705,x5703)+P11(x5701,x5702,x5703)+~E(f27(x5701,x5702,x5703),f27(x5704,x5705,x5703))
% 0.87/1.04 [808]~P6(x8081,x8083,x8084,x8085)+~P6(x8081,x8082,x8084,x8085)+P6(x8081,f25(x8082,x8083,f60(x8084,a1)),x8084,x8085)+~E(f26(f55(x8081,f27(x8082,x8083,f60(x8084,a1)),x8084,x8085),f55(x8081,f27(x8083,x8082,f60(x8084,a1)),x8084,x8085),f60(x8085,a1)),f41(f60(x8085,a1)))
% 0.87/1.04 [884]E(x8841,x8842)+~E(f56(x8841,f35(x8843,x8841,x8842,x8844,x8845)),f56(x8842,f35(x8843,x8841,x8842,x8844,x8845)))+~P25(f56(f56(f57(f60(x8844,x8845)),x8842),f33(x8843,x8844,x8845)))+~P25(f56(f56(f57(f60(x8844,x8845)),x8841),f33(x8843,x8844,x8845)))
% 0.87/1.04 [701]P25(f56(x7011,x7012))+~P25(f56(x7011,f12(x7014,x7011,x7015)))+~P25(f56(x7013,f12(x7014,x7013,x7015)))+~P25(f56(f56(f57(x7015),x7012),x7014))
% 0.87/1.04 [715]P25(f56(x7151,x7152))+P25(f56(f56(f57(x7153),f12(x7154,x7151,x7153)),x7154))+P25(f56(f56(f57(x7153),f12(x7154,x7155,x7153)),x7154))+~P25(f56(f56(f57(x7153),x7152),x7154))
% 0.87/1.04 [791]P25(f56(x7911,x7912))+~P25(f56(x7913,f13(x7914,x7913,x7911,x7915)))+~P25(f56(x7911,f13(x7914,x7913,x7911,x7915)))+~P25(f56(f56(f57(x7915),x7912),x7914))
% 0.87/1.04 [792]P25(f56(x7921,x7922))+~P25(f56(x7923,f13(x7924,x7921,x7923,x7925)))+~P25(f56(x7921,f13(x7924,x7921,x7923,x7925)))+~P25(f56(f56(f57(x7925),x7922),x7924))
% 0.87/1.04 [900]~P8(x9005,x9004,x9001)+~E(f45(x9004,f25(f56(f5(f54(x9001),x9001,x9001,a1),x9002),f41(f60(x9001,a1)),f60(x9001,a1)),x9001,x9001),f45(x9004,f25(f56(f5(f54(x9001),x9001,x9001,a1),x9003),f41(f60(x9001,a1)),f60(x9001,a1)),x9001,x9001))+~P25(f56(f56(f57(x9001),x9003),x9005))+P25(f56(f56(f57(f61(x9001,x9001)),f46(x9002,x9003,x9001,x9001)),x9004))
% 0.87/1.04 [911]E(x9111,x9112)+~P25(f56(f56(f57(f60(x9113,x9115)),x9112),f33(x9114,x9113,x9115)))+~P25(f56(f56(f57(f60(x9113,x9115)),x9111),f33(x9114,x9113,x9115)))+P25(f56(f56(f57(x9113),f35(x9114,x9111,x9112,x9113,x9115)),x9114))
% 0.87/1.04 [920]~P8(x9205,x9204,x9201)+~P5(f45(x9204,f25(f56(f5(f54(x9201),x9201,x9201,a1),x9203),f41(f60(x9201,a1)),f60(x9201,a1)),x9201,x9201),f45(x9204,f25(f56(f5(f54(x9201),x9201,x9201,a1),x9202),f41(f60(x9201,a1)),f60(x9201,a1)),x9201,x9201),f60(x9201,a1))+~P25(f56(f56(f57(x9201),x9203),x9205))+P25(f56(f56(f57(f61(x9201,x9201)),f46(x9202,x9203,x9201,x9201)),x9204))
% 0.87/1.04 [748]~P6(x7481,x7486,x7483,x7484)+~P5(x7482,x7486,f60(x7483,a1))+~P5(x7485,x7486,f60(x7483,a1))+E(f26(f55(x7481,x7482,x7483,x7484),f55(x7481,x7485,x7483,x7484),f60(x7484,a1)),f55(x7481,f26(x7482,x7485,f60(x7483,a1)),x7483,x7484))
% 0.87/1.04 [749]~P6(x7491,x7496,x7493,x7494)+~P5(x7492,x7496,f60(x7493,a1))+~P5(x7495,x7496,f60(x7493,a1))+E(f27(f55(x7491,x7492,x7493,x7494),f55(x7491,x7495,x7493,x7494),f60(x7494,a1)),f55(x7491,f27(x7492,x7495,f60(x7493,a1)),x7493,x7494))
% 0.87/1.04 [830]~P25(f56(x8301,x8306))+~P25(f56(f56(f57(x8305),x8306),f56(x8303,x8307)))+P25(f56(x8301,f14(x8302,x8303,x8301,x8304,x8305)))+~P25(f56(f56(f57(x8304),x8307),x8302))
% 0.87/1.04 [910]~P25(f56(x9104,x9106))+~P25(f56(f56(f57(x9101),x9106),f56(x9103,x9107)))+~P25(f56(f56(f57(x9105),x9107),x9102))+P25(f56(f56(f57(x9101),f14(x9102,x9103,x9104,x9105,x9101)),f28(x9102,x9103,x9105,f60(x9101,a1))))
% 0.87/1.04 [847]E(x8471,x8472)+E(x8473,x8472)+P25(f56(f56(f57(f61(a58,a58)),f46(x8472,x8471,a58,a58)),f21(x8474,x8473,x8472)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8473,x8471,a58,a58)),x8474))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8474),a6))
% 0.87/1.04 [848]E(x8481,x8482)+E(x8483,x8482)+P25(f56(f56(f57(f61(a58,a58)),f46(x8482,x8481,a58,a58)),f22(x8484,x8482,x8483)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8483,x8481,a58,a58)),x8484))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8484),a6))
% 0.87/1.04 [849]E(x8491,x8492)+E(x8493,x8492)+P25(f56(f56(f57(f61(a58,a58)),f46(x8493,x8492,a58,a58)),f21(x8494,x8491,x8492)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8493,x8491,a58,a58)),x8494))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8494),a6))
% 0.87/1.04 [850]E(x8501,x8502)+E(x8503,x8502)+P25(f56(f56(f57(f61(a58,a58)),f46(x8503,x8502,a58,a58)),f22(x8504,x8502,x8501)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8503,x8501,a58,a58)),x8504))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8504),a6))
% 0.87/1.04 [851]E(x8511,x8512)+E(x8513,x8511)+P25(f56(f56(f57(f61(a58,a58)),f46(x8513,x8511,a58,a58)),f22(x8514,x8512,x8511)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8513,x8511,a58,a58)),x8514))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8514),a6))
% 0.87/1.04 [853]E(x8531,x8532)+E(x8531,x8533)+P25(f56(f56(f57(f61(a58,a58)),f46(x8532,x8531,a58,a58)),f22(x8534,x8533,x8531)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8532,x8531,a58,a58)),x8534))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8534),a6))
% 0.87/1.04 [854]E(x8541,x8542)+E(x8541,x8543)+P25(f56(f56(f57(f61(a58,a58)),f46(x8541,x8542,a58,a58)),f21(x8544,x8541,x8543)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8541,x8542,a58,a58)),x8544))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8544),a6))
% 0.87/1.04 [735]E(x7351,x7352)+~P8(x7354,x7355,x7353)+E(f26(x7351,x7352,f60(x7353,a1)),f41(f60(x7353,a1)))+~P25(f56(f56(f57(f60(x7353,a1)),x7352),f30(x7354,x7355,x7353)))+~P25(f56(f56(f57(f60(x7353,a1)),x7351),f30(x7354,x7355,x7353)))
% 0.87/1.04 [880]~P8(x8805,x8803,x8801)+E(f30(f25(f56(f5(f54(x8801),x8801,x8801,a1),x8802),f41(f60(x8801,a1)),f60(x8801,a1)),x8803,x8801),f30(f25(f56(f5(f54(x8801),x8801,x8801,a1),x8804),f41(f60(x8801,a1)),f60(x8801,a1)),x8803,x8801))+~P25(f56(f56(f57(x8801),x8804),x8805))+~P25(f56(f56(f57(x8801),x8802),x8805))+~P25(f56(f56(f57(f61(x8801,x8801)),f46(x8802,x8804,x8801,x8801)),x8803))
% 0.87/1.04 [889]~P8(x8895,x8894,x8891)+~E(f30(f25(f56(f5(f54(x8891),x8891,x8891,a1),x8892),f41(f60(x8891,a1)),f60(x8891,a1)),x8894,x8891),f30(f25(f56(f5(f54(x8891),x8891,x8891,a1),x8893),f41(f60(x8891,a1)),f60(x8891,a1)),x8894,x8891))+~P25(f56(f56(f57(x8891),x8893),x8895))+~P25(f56(f56(f57(x8891),x8892),x8895))+P25(f56(f56(f57(f61(x8891,x8891)),f46(x8892,x8893,x8891,x8891)),x8894))
% 0.87/1.04 [680]E(x6801,x6802)+~P6(x6803,x6804,x6805,x6806)+~E(f56(x6803,x6801),f56(x6803,x6802))+~P25(f56(f56(f57(x6805),x6802),x6804))+~P25(f56(f56(f57(x6805),x6801),x6804))
% 0.87/1.04 [793]~P8(x7935,x7934,x7931)+~P25(f56(f56(f57(f60(x7931,a1)),x7936),f30(x7935,x7934,x7931)))+~P25(f56(f56(f57(x7931),x7933),x7936))+P25(f56(f56(f57(f61(x7931,x7931)),f46(x7932,x7933,x7931,x7931)),x7934))+~P25(f56(f56(f57(x7931),x7932),x7936))
% 0.87/1.04 [755]E(x7551,x7552)+~P12(x7554,x7553,x7555,x7556,x7557)+~E(f56(x7553,x7551),f56(x7553,x7552))+~P25(f56(f56(f57(x7557),x7552),x7555))+~P25(f56(f56(f57(x7557),x7551),x7555))
% 0.87/1.04 [863]E(x8633,x8631)+E(x8631,x8632)+E(x8633,x8632)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8631,x8633,a58,a58)),f22(x8634,x8631,x8632)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8632,x8633,a58,a58)),x8634))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8634),a6))
% 0.87/1.04 [864]E(x8643,x8641)+E(x8641,x8642)+E(x8643,x8642)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8643,x8641,a58,a58)),f21(x8644,x8642,x8641)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8643,x8642,a58,a58)),x8644))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8644),a6))
% 0.87/1.04 [861]E(x8611,x8612)+E(x8613,x8611)+E(x8614,x8611)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8614,x8613,a58,a58)),f21(x8615,x8612,x8611)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8614,x8613,a58,a58)),x8615))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8615),a6))
% 0.87/1.04 [862]E(x8621,x8622)+E(x8623,x8621)+E(x8624,x8621)+~P25(f56(f56(f57(f61(a58,a58)),f46(x8624,x8623,a58,a58)),f22(x8625,x8621,x8622)))+P25(f56(f56(f57(f61(a58,a58)),f46(x8624,x8623,a58,a58)),x8625))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8625),a6))
% 0.87/1.04 [855]E(x8554,x8553)+E(x8551,x8552)+E(x8553,x8552)+E(x8554,x8552)+P25(f56(f56(f57(f61(a58,a58)),f46(x8554,x8553,a58,a58)),f21(x8555,x8551,x8552)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8554,x8553,a58,a58)),x8555))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8555),a6))
% 0.87/1.04 [856]E(x8564,x8563)+E(x8561,x8562)+E(x8563,x8561)+E(x8564,x8561)+P25(f56(f56(f57(f61(a58,a58)),f46(x8564,x8563,a58,a58)),f22(x8565,x8561,x8562)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8564,x8563,a58,a58)),x8565))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8565),a6))
% 0.87/1.04 [896]E(x8961,x8962)+E(x8963,x8962)+E(x8964,x8963)+P25(f56(f56(f57(f61(a58,a58)),f46(x8964,x8963,a58,a58)),f21(x8965,x8961,x8962)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8964,x8963,a58,a58)),x8965))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8961,x8963,a58,a58)),x8965))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8965),a6))
% 0.87/1.04 [897]E(x8971,x8972)+E(x8973,x8971)+E(x8974,x8973)+P25(f56(f56(f57(f61(a58,a58)),f46(x8974,x8973,a58,a58)),f22(x8975,x8971,x8972)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8974,x8973,a58,a58)),x8975))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8972,x8973,a58,a58)),x8975))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8975),a6))
% 0.87/1.04 [898]E(x8981,x8982)+E(x8983,x8982)+E(x8983,x8984)+P25(f56(f56(f57(f61(a58,a58)),f46(x8983,x8984,a58,a58)),f21(x8985,x8981,x8982)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8983,x8984,a58,a58)),x8985))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8983,x8981,a58,a58)),x8985))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8985),a6))
% 0.87/1.04 [899]E(x8991,x8992)+E(x8993,x8991)+E(x8993,x8994)+P25(f56(f56(f57(f61(a58,a58)),f46(x8993,x8994,a58,a58)),f22(x8995,x8991,x8992)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8993,x8994,a58,a58)),x8995))+~P25(f56(f56(f57(f61(a58,a58)),f46(x8993,x8992,a58,a58)),x8995))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x8995),a6))
% 0.87/1.04 [913]E(x9131,x9132)+E(x9133,x9134)+P25(f56(f56(f57(f61(a58,a58)),f46(x9133,x9134,a58,a58)),f21(x9135,x9131,x9132)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9133,x9134,a58,a58)),x9135))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9131,x9134,a58,a58)),x9135))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9133,x9131,a58,a58)),x9135))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x9135),a6))
% 0.87/1.04 [914]E(x9141,x9142)+E(x9143,x9144)+P25(f56(f56(f57(f61(a58,a58)),f46(x9143,x9144,a58,a58)),f22(x9145,x9141,x9142)))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9143,x9144,a58,a58)),x9145))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9142,x9144,a58,a58)),x9145))+~P25(f56(f56(f57(f61(a58,a58)),f46(x9143,x9142,a58,a58)),x9145))+~P25(f56(f56(f57(f60(f61(a58,a58),a1)),x9145),a6))
% 0.87/1.04 [834]E(x8341,x8342)+~P8(x8343,x8344,x8345)+~P25(f56(f56(f57(f60(x8345,a1)),x8342),f30(x8343,x8344,x8345)))+~P25(f56(f56(f57(f60(x8345,a1)),x8341),f30(x8343,x8344,x8345)))+~P25(f56(f56(f57(f61(x8345,x8345)),f46(x8347,x8346,x8345,x8345)),x8344))+~P25(f56(f56(f57(x8345),x8346),x8342))+~P25(f56(f56(f57(x8345),x8347),x8341))
% 0.87/1.04 %EqnAxiom
% 0.87/1.04 [1]E(x11,x11)
% 0.87/1.04 [2]E(x22,x21)+~E(x21,x22)
% 0.87/1.04 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.87/1.04 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.87/1.04 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.87/1.04 [6]~E(x61,x62)+E(f60(x61,x63),f60(x62,x63))
% 0.87/1.04 [7]~E(x71,x72)+E(f60(x73,x71),f60(x73,x72))
% 0.87/1.04 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.87/1.04 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.87/1.04 [10]~E(x101,x102)+E(f56(x101,x103),f56(x102,x103))
% 0.87/1.04 [11]~E(x111,x112)+E(f56(x113,x111),f56(x113,x112))
% 0.87/1.04 [12]~E(x121,x122)+E(f25(x121,x123,x124),f25(x122,x123,x124))
% 0.87/1.04 [13]~E(x131,x132)+E(f25(x133,x131,x134),f25(x133,x132,x134))
% 0.87/1.04 [14]~E(x141,x142)+E(f25(x143,x144,x141),f25(x143,x144,x142))
% 0.87/1.04 [15]~E(x151,x152)+E(f57(x151),f57(x152))
% 0.87/1.04 [16]~E(x161,x162)+E(f48(x161,x163,x164,x165),f48(x162,x163,x164,x165))
% 0.87/1.04 [17]~E(x171,x172)+E(f48(x173,x171,x174,x175),f48(x173,x172,x174,x175))
% 0.87/1.04 [18]~E(x181,x182)+E(f48(x183,x184,x181,x185),f48(x183,x184,x182,x185))
% 0.87/1.04 [19]~E(x191,x192)+E(f48(x193,x194,x195,x191),f48(x193,x194,x195,x192))
% 0.87/1.04 [20]~E(x201,x202)+E(f41(x201),f41(x202))
% 0.87/1.04 [21]~E(x211,x212)+E(f26(x211,x213,x214),f26(x212,x213,x214))
% 0.87/1.04 [22]~E(x221,x222)+E(f26(x223,x221,x224),f26(x223,x222,x224))
% 0.87/1.04 [23]~E(x231,x232)+E(f26(x233,x234,x231),f26(x233,x234,x232))
% 0.87/1.04 [24]~E(x241,x242)+E(f54(x241),f54(x242))
% 0.87/1.04 [25]~E(x251,x252)+E(f27(x251,x253,x254),f27(x252,x253,x254))
% 0.87/1.04 [26]~E(x261,x262)+E(f27(x263,x261,x264),f27(x263,x262,x264))
% 0.87/1.04 [27]~E(x271,x272)+E(f27(x273,x274,x271),f27(x273,x274,x272))
% 0.87/1.04 [28]~E(x281,x282)+E(f5(x281,x283,x284,x285),f5(x282,x283,x284,x285))
% 0.87/1.04 [29]~E(x291,x292)+E(f5(x293,x291,x294,x295),f5(x293,x292,x294,x295))
% 0.87/1.04 [30]~E(x301,x302)+E(f5(x303,x304,x301,x305),f5(x303,x304,x302,x305))
% 0.87/1.04 [31]~E(x311,x312)+E(f5(x313,x314,x315,x311),f5(x313,x314,x315,x312))
% 0.87/1.04 [32]~E(x321,x322)+E(f46(x321,x323,x324,x325),f46(x322,x323,x324,x325))
% 0.87/1.04 [33]~E(x331,x332)+E(f46(x333,x331,x334,x335),f46(x333,x332,x334,x335))
% 0.87/1.04 [34]~E(x341,x342)+E(f46(x343,x344,x341,x345),f46(x343,x344,x342,x345))
% 0.87/1.04 [35]~E(x351,x352)+E(f46(x353,x354,x355,x351),f46(x353,x354,x355,x352))
% 0.87/1.04 [36]~E(x361,x362)+E(f45(x361,x363,x364,x365),f45(x362,x363,x364,x365))
% 0.87/1.04 [37]~E(x371,x372)+E(f45(x373,x371,x374,x375),f45(x373,x372,x374,x375))
% 0.87/1.04 [38]~E(x381,x382)+E(f45(x383,x384,x381,x385),f45(x383,x384,x382,x385))
% 0.87/1.04 [39]~E(x391,x392)+E(f45(x393,x394,x395,x391),f45(x393,x394,x395,x392))
% 0.87/1.04 [40]~E(x401,x402)+E(f30(x401,x403,x404),f30(x402,x403,x404))
% 0.87/1.04 [41]~E(x411,x412)+E(f30(x413,x411,x414),f30(x413,x412,x414))
% 0.87/1.04 [42]~E(x421,x422)+E(f30(x423,x424,x421),f30(x423,x424,x422))
% 0.87/1.04 [43]~E(x431,x432)+E(f52(x431,x433,x434,x435),f52(x432,x433,x434,x435))
% 0.87/1.04 [44]~E(x441,x442)+E(f52(x443,x441,x444,x445),f52(x443,x442,x444,x445))
% 0.87/1.04 [45]~E(x451,x452)+E(f52(x453,x454,x451,x455),f52(x453,x454,x452,x455))
% 0.87/1.04 [46]~E(x461,x462)+E(f52(x463,x464,x465,x461),f52(x463,x464,x465,x462))
% 0.87/1.04 [47]~E(x471,x472)+E(f4(x471,x473,x474),f4(x472,x473,x474))
% 0.87/1.04 [48]~E(x481,x482)+E(f4(x483,x481,x484),f4(x483,x482,x484))
% 0.87/1.04 [49]~E(x491,x492)+E(f4(x493,x494,x491),f4(x493,x494,x492))
% 0.87/1.04 [50]~E(x501,x502)+E(f24(x501,x503),f24(x502,x503))
% 0.87/1.04 [51]~E(x511,x512)+E(f24(x513,x511),f24(x513,x512))
% 0.87/1.04 [52]~E(x521,x522)+E(f19(x521,x523,x524,x525,x526),f19(x522,x523,x524,x525,x526))
% 0.87/1.04 [53]~E(x531,x532)+E(f19(x533,x531,x534,x535,x536),f19(x533,x532,x534,x535,x536))
% 0.87/1.04 [54]~E(x541,x542)+E(f19(x543,x544,x541,x545,x546),f19(x543,x544,x542,x545,x546))
% 0.87/1.04 [55]~E(x551,x552)+E(f19(x553,x554,x555,x551,x556),f19(x553,x554,x555,x552,x556))
% 0.87/1.04 [56]~E(x561,x562)+E(f19(x563,x564,x565,x566,x561),f19(x563,x564,x565,x566,x562))
% 0.87/1.04 [57]~E(x571,x572)+E(f12(x571,x573,x574),f12(x572,x573,x574))
% 0.87/1.04 [58]~E(x581,x582)+E(f12(x583,x581,x584),f12(x583,x582,x584))
% 0.87/1.04 [59]~E(x591,x592)+E(f12(x593,x594,x591),f12(x593,x594,x592))
% 0.87/1.04 [60]~E(x601,x602)+E(f39(x601),f39(x602))
% 0.87/1.04 [61]~E(x611,x612)+E(f61(x611,x613),f61(x612,x613))
% 0.87/1.04 [62]~E(x621,x622)+E(f61(x623,x621),f61(x623,x622))
% 0.87/1.04 [63]~E(x631,x632)+E(f13(x631,x633,x634,x635),f13(x632,x633,x634,x635))
% 0.87/1.04 [64]~E(x641,x642)+E(f13(x643,x641,x644,x645),f13(x643,x642,x644,x645))
% 0.87/1.04 [65]~E(x651,x652)+E(f13(x653,x654,x651,x655),f13(x653,x654,x652,x655))
% 0.87/1.04 [66]~E(x661,x662)+E(f13(x663,x664,x665,x661),f13(x663,x664,x665,x662))
% 0.87/1.04 [67]~E(x671,x672)+E(f10(x671,x673,x674),f10(x672,x673,x674))
% 0.87/1.04 [68]~E(x681,x682)+E(f10(x683,x681,x684),f10(x683,x682,x684))
% 0.87/1.04 [69]~E(x691,x692)+E(f10(x693,x694,x691),f10(x693,x694,x692))
% 0.87/1.04 [70]~E(x701,x702)+E(f40(x701),f40(x702))
% 0.87/1.04 [71]~E(x711,x712)+E(f28(x711,x713,x714,x715),f28(x712,x713,x714,x715))
% 0.87/1.04 [72]~E(x721,x722)+E(f28(x723,x721,x724,x725),f28(x723,x722,x724,x725))
% 0.87/1.04 [73]~E(x731,x732)+E(f28(x733,x734,x731,x735),f28(x733,x734,x732,x735))
% 0.87/1.04 [74]~E(x741,x742)+E(f28(x743,x744,x745,x741),f28(x743,x744,x745,x742))
% 0.87/1.04 [75]~E(x751,x752)+E(f55(x751,x753,x754,x755),f55(x752,x753,x754,x755))
% 0.87/1.04 [76]~E(x761,x762)+E(f55(x763,x761,x764,x765),f55(x763,x762,x764,x765))
% 0.87/1.04 [77]~E(x771,x772)+E(f55(x773,x774,x771,x775),f55(x773,x774,x772,x775))
% 0.87/1.04 [78]~E(x781,x782)+E(f55(x783,x784,x785,x781),f55(x783,x784,x785,x782))
% 0.87/1.04 [79]~E(x791,x792)+E(f20(x791,x793),f20(x792,x793))
% 0.87/1.04 [80]~E(x801,x802)+E(f20(x803,x801),f20(x803,x802))
% 0.87/1.04 [81]~E(x811,x812)+E(f29(x811,x813,x814,x815,x816),f29(x812,x813,x814,x815,x816))
% 0.87/1.04 [82]~E(x821,x822)+E(f29(x823,x821,x824,x825,x826),f29(x823,x822,x824,x825,x826))
% 0.87/1.04 [83]~E(x831,x832)+E(f29(x833,x834,x831,x835,x836),f29(x833,x834,x832,x835,x836))
% 0.87/1.04 [84]~E(x841,x842)+E(f29(x843,x844,x845,x841,x846),f29(x843,x844,x845,x842,x846))
% 0.87/1.04 [85]~E(x851,x852)+E(f29(x853,x854,x855,x856,x851),f29(x853,x854,x855,x856,x852))
% 0.87/1.04 [86]~E(x861,x862)+E(f18(x861,x863,x864,x865),f18(x862,x863,x864,x865))
% 0.87/1.04 [87]~E(x871,x872)+E(f18(x873,x871,x874,x875),f18(x873,x872,x874,x875))
% 0.87/1.04 [88]~E(x881,x882)+E(f18(x883,x884,x881,x885),f18(x883,x884,x882,x885))
% 0.87/1.04 [89]~E(x891,x892)+E(f18(x893,x894,x895,x891),f18(x893,x894,x895,x892))
% 0.87/1.04 [90]~E(x901,x902)+E(f23(x901,x903),f23(x902,x903))
% 0.87/1.04 [91]~E(x911,x912)+E(f23(x913,x911),f23(x913,x912))
% 0.87/1.04 [92]~E(x921,x922)+E(f36(x921,x923,x924,x925,x926),f36(x922,x923,x924,x925,x926))
% 0.87/1.04 [93]~E(x931,x932)+E(f36(x933,x931,x934,x935,x936),f36(x933,x932,x934,x935,x936))
% 0.87/1.04 [94]~E(x941,x942)+E(f36(x943,x944,x941,x945,x946),f36(x943,x944,x942,x945,x946))
% 0.87/1.04 [95]~E(x951,x952)+E(f36(x953,x954,x955,x951,x956),f36(x953,x954,x955,x952,x956))
% 0.87/1.04 [96]~E(x961,x962)+E(f36(x963,x964,x965,x966,x961),f36(x963,x964,x965,x966,x962))
% 0.87/1.04 [97]~E(x971,x972)+E(f22(x971,x973,x974),f22(x972,x973,x974))
% 0.87/1.04 [98]~E(x981,x982)+E(f22(x983,x981,x984),f22(x983,x982,x984))
% 0.87/1.04 [99]~E(x991,x992)+E(f22(x993,x994,x991),f22(x993,x994,x992))
% 0.87/1.04 [100]~E(x1001,x1002)+E(f8(x1001,x1003,x1004),f8(x1002,x1003,x1004))
% 0.87/1.04 [101]~E(x1011,x1012)+E(f8(x1013,x1011,x1014),f8(x1013,x1012,x1014))
% 0.87/1.04 [102]~E(x1021,x1022)+E(f8(x1023,x1024,x1021),f8(x1023,x1024,x1022))
% 0.87/1.04 [103]~E(x1031,x1032)+E(f44(x1031,x1033,x1034),f44(x1032,x1033,x1034))
% 0.87/1.04 [104]~E(x1041,x1042)+E(f44(x1043,x1041,x1044),f44(x1043,x1042,x1044))
% 0.87/1.04 [105]~E(x1051,x1052)+E(f44(x1053,x1054,x1051),f44(x1053,x1054,x1052))
% 0.87/1.04 [106]~E(x1061,x1062)+E(f31(x1061,x1063,x1064,x1065),f31(x1062,x1063,x1064,x1065))
% 0.87/1.04 [107]~E(x1071,x1072)+E(f31(x1073,x1071,x1074,x1075),f31(x1073,x1072,x1074,x1075))
% 0.87/1.04 [108]~E(x1081,x1082)+E(f31(x1083,x1084,x1081,x1085),f31(x1083,x1084,x1082,x1085))
% 0.87/1.04 [109]~E(x1091,x1092)+E(f31(x1093,x1094,x1095,x1091),f31(x1093,x1094,x1095,x1092))
% 0.87/1.04 [110]~E(x1101,x1102)+E(f47(x1101,x1103,x1104),f47(x1102,x1103,x1104))
% 0.87/1.04 [111]~E(x1111,x1112)+E(f47(x1113,x1111,x1114),f47(x1113,x1112,x1114))
% 0.87/1.04 [112]~E(x1121,x1122)+E(f47(x1123,x1124,x1121),f47(x1123,x1124,x1122))
% 0.87/1.04 [113]~E(x1131,x1132)+E(f49(x1131,x1133,x1134,x1135,x1136),f49(x1132,x1133,x1134,x1135,x1136))
% 0.87/1.04 [114]~E(x1141,x1142)+E(f49(x1143,x1141,x1144,x1145,x1146),f49(x1143,x1142,x1144,x1145,x1146))
% 0.87/1.04 [115]~E(x1151,x1152)+E(f49(x1153,x1154,x1151,x1155,x1156),f49(x1153,x1154,x1152,x1155,x1156))
% 0.87/1.04 [116]~E(x1161,x1162)+E(f49(x1163,x1164,x1165,x1161,x1166),f49(x1163,x1164,x1165,x1162,x1166))
% 0.87/1.04 [117]~E(x1171,x1172)+E(f49(x1173,x1174,x1175,x1176,x1171),f49(x1173,x1174,x1175,x1176,x1172))
% 0.87/1.04 [118]~E(x1181,x1182)+E(f43(x1181,x1183,x1184,x1185),f43(x1182,x1183,x1184,x1185))
% 0.87/1.04 [119]~E(x1191,x1192)+E(f43(x1193,x1191,x1194,x1195),f43(x1193,x1192,x1194,x1195))
% 0.87/1.04 [120]~E(x1201,x1202)+E(f43(x1203,x1204,x1201,x1205),f43(x1203,x1204,x1202,x1205))
% 0.87/1.04 [121]~E(x1211,x1212)+E(f43(x1213,x1214,x1215,x1211),f43(x1213,x1214,x1215,x1212))
% 0.87/1.04 [122]~E(x1221,x1222)+E(f35(x1221,x1223,x1224,x1225,x1226),f35(x1222,x1223,x1224,x1225,x1226))
% 0.87/1.04 [123]~E(x1231,x1232)+E(f35(x1233,x1231,x1234,x1235,x1236),f35(x1233,x1232,x1234,x1235,x1236))
% 0.87/1.04 [124]~E(x1241,x1242)+E(f35(x1243,x1244,x1241,x1245,x1246),f35(x1243,x1244,x1242,x1245,x1246))
% 0.87/1.04 [125]~E(x1251,x1252)+E(f35(x1253,x1254,x1255,x1251,x1256),f35(x1253,x1254,x1255,x1252,x1256))
% 0.87/1.04 [126]~E(x1261,x1262)+E(f35(x1263,x1264,x1265,x1266,x1261),f35(x1263,x1264,x1265,x1266,x1262))
% 0.87/1.04 [127]~E(x1271,x1272)+E(f53(x1271,x1273,x1274,x1275,x1276),f53(x1272,x1273,x1274,x1275,x1276))
% 0.87/1.04 [128]~E(x1281,x1282)+E(f53(x1283,x1281,x1284,x1285,x1286),f53(x1283,x1282,x1284,x1285,x1286))
% 0.87/1.04 [129]~E(x1291,x1292)+E(f53(x1293,x1294,x1291,x1295,x1296),f53(x1293,x1294,x1292,x1295,x1296))
% 0.87/1.04 [130]~E(x1301,x1302)+E(f53(x1303,x1304,x1305,x1301,x1306),f53(x1303,x1304,x1305,x1302,x1306))
% 0.87/1.04 [131]~E(x1311,x1312)+E(f53(x1313,x1314,x1315,x1316,x1311),f53(x1313,x1314,x1315,x1316,x1312))
% 0.87/1.04 [132]~E(x1321,x1322)+E(f33(x1321,x1323,x1324),f33(x1322,x1323,x1324))
% 0.87/1.04 [133]~E(x1331,x1332)+E(f33(x1333,x1331,x1334),f33(x1333,x1332,x1334))
% 0.87/1.04 [134]~E(x1341,x1342)+E(f33(x1343,x1344,x1341),f33(x1343,x1344,x1342))
% 0.87/1.04 [135]~E(x1351,x1352)+E(f11(x1351,x1353,x1354),f11(x1352,x1353,x1354))
% 0.87/1.04 [136]~E(x1361,x1362)+E(f11(x1363,x1361,x1364),f11(x1363,x1362,x1364))
% 0.87/1.04 [137]~E(x1371,x1372)+E(f11(x1373,x1374,x1371),f11(x1373,x1374,x1372))
% 0.87/1.04 [138]~E(x1381,x1382)+E(f21(x1381,x1383,x1384),f21(x1382,x1383,x1384))
% 0.87/1.04 [139]~E(x1391,x1392)+E(f21(x1393,x1391,x1394),f21(x1393,x1392,x1394))
% 0.87/1.04 [140]~E(x1401,x1402)+E(f21(x1403,x1404,x1401),f21(x1403,x1404,x1402))
% 0.87/1.04 [141]~E(x1411,x1412)+E(f38(x1411,x1413,x1414,x1415,x1416),f38(x1412,x1413,x1414,x1415,x1416))
% 0.87/1.04 [142]~E(x1421,x1422)+E(f38(x1423,x1421,x1424,x1425,x1426),f38(x1423,x1422,x1424,x1425,x1426))
% 0.87/1.04 [143]~E(x1431,x1432)+E(f38(x1433,x1434,x1431,x1435,x1436),f38(x1433,x1434,x1432,x1435,x1436))
% 0.87/1.04 [144]~E(x1441,x1442)+E(f38(x1443,x1444,x1445,x1441,x1446),f38(x1443,x1444,x1445,x1442,x1446))
% 0.87/1.04 [145]~E(x1451,x1452)+E(f38(x1453,x1454,x1455,x1456,x1451),f38(x1453,x1454,x1455,x1456,x1452))
% 0.87/1.04 [146]~E(x1461,x1462)+E(f51(x1461,x1463,x1464),f51(x1462,x1463,x1464))
% 0.87/1.04 [147]~E(x1471,x1472)+E(f51(x1473,x1471,x1474),f51(x1473,x1472,x1474))
% 0.87/1.04 [148]~E(x1481,x1482)+E(f51(x1483,x1484,x1481),f51(x1483,x1484,x1482))
% 0.87/1.04 [149]~E(x1491,x1492)+E(f7(x1491,x1493,x1494),f7(x1492,x1493,x1494))
% 0.87/1.04 [150]~E(x1501,x1502)+E(f7(x1503,x1501,x1504),f7(x1503,x1502,x1504))
% 0.87/1.04 [151]~E(x1511,x1512)+E(f7(x1513,x1514,x1511),f7(x1513,x1514,x1512))
% 0.87/1.04 [152]~E(x1521,x1522)+E(f34(x1521,x1523,x1524,x1525),f34(x1522,x1523,x1524,x1525))
% 0.87/1.04 [153]~E(x1531,x1532)+E(f34(x1533,x1531,x1534,x1535),f34(x1533,x1532,x1534,x1535))
% 0.87/1.04 [154]~E(x1541,x1542)+E(f34(x1543,x1544,x1541,x1545),f34(x1543,x1544,x1542,x1545))
% 0.87/1.04 [155]~E(x1551,x1552)+E(f34(x1553,x1554,x1555,x1551),f34(x1553,x1554,x1555,x1552))
% 0.87/1.04 [156]~E(x1561,x1562)+E(f37(x1561,x1563,x1564,x1565,x1566),f37(x1562,x1563,x1564,x1565,x1566))
% 0.87/1.04 [157]~E(x1571,x1572)+E(f37(x1573,x1571,x1574,x1575,x1576),f37(x1573,x1572,x1574,x1575,x1576))
% 0.87/1.04 [158]~E(x1581,x1582)+E(f37(x1583,x1584,x1581,x1585,x1586),f37(x1583,x1584,x1582,x1585,x1586))
% 0.87/1.04 [159]~E(x1591,x1592)+E(f37(x1593,x1594,x1595,x1591,x1596),f37(x1593,x1594,x1595,x1592,x1596))
% 0.87/1.04 [160]~E(x1601,x1602)+E(f37(x1603,x1604,x1605,x1606,x1601),f37(x1603,x1604,x1605,x1606,x1602))
% 0.87/1.04 [161]~E(x1611,x1612)+E(f32(x1611,x1613,x1614,x1615,x1616),f32(x1612,x1613,x1614,x1615,x1616))
% 0.87/1.04 [162]~E(x1621,x1622)+E(f32(x1623,x1621,x1624,x1625,x1626),f32(x1623,x1622,x1624,x1625,x1626))
% 0.87/1.04 [163]~E(x1631,x1632)+E(f32(x1633,x1634,x1631,x1635,x1636),f32(x1633,x1634,x1632,x1635,x1636))
% 0.87/1.04 [164]~E(x1641,x1642)+E(f32(x1643,x1644,x1645,x1641,x1646),f32(x1643,x1644,x1645,x1642,x1646))
% 0.87/1.04 [165]~E(x1651,x1652)+E(f32(x1653,x1654,x1655,x1656,x1651),f32(x1653,x1654,x1655,x1656,x1652))
% 0.87/1.04 [166]~E(x1661,x1662)+E(f9(x1661,x1663,x1664),f9(x1662,x1663,x1664))
% 0.87/1.04 [167]~E(x1671,x1672)+E(f9(x1673,x1671,x1674),f9(x1673,x1672,x1674))
% 0.87/1.04 [168]~E(x1681,x1682)+E(f9(x1683,x1684,x1681),f9(x1683,x1684,x1682))
% 0.87/1.04 [169]~E(x1691,x1692)+E(f17(x1691,x1693,x1694),f17(x1692,x1693,x1694))
% 0.87/1.04 [170]~E(x1701,x1702)+E(f17(x1703,x1701,x1704),f17(x1703,x1702,x1704))
% 0.87/1.04 [171]~E(x1711,x1712)+E(f17(x1713,x1714,x1711),f17(x1713,x1714,x1712))
% 0.87/1.04 [172]~E(x1721,x1722)+E(f16(x1721,x1723,x1724),f16(x1722,x1723,x1724))
% 0.87/1.04 [173]~E(x1731,x1732)+E(f16(x1733,x1731,x1734),f16(x1733,x1732,x1734))
% 0.87/1.04 [174]~E(x1741,x1742)+E(f16(x1743,x1744,x1741),f16(x1743,x1744,x1742))
% 0.87/1.04 [175]~E(x1751,x1752)+E(f14(x1751,x1753,x1754,x1755,x1756),f14(x1752,x1753,x1754,x1755,x1756))
% 0.87/1.04 [176]~E(x1761,x1762)+E(f14(x1763,x1761,x1764,x1765,x1766),f14(x1763,x1762,x1764,x1765,x1766))
% 0.87/1.04 [177]~E(x1771,x1772)+E(f14(x1773,x1774,x1771,x1775,x1776),f14(x1773,x1774,x1772,x1775,x1776))
% 0.87/1.04 [178]~E(x1781,x1782)+E(f14(x1783,x1784,x1785,x1781,x1786),f14(x1783,x1784,x1785,x1782,x1786))
% 0.87/1.04 [179]~E(x1791,x1792)+E(f14(x1793,x1794,x1795,x1796,x1791),f14(x1793,x1794,x1795,x1796,x1792))
% 0.87/1.04 [180]~E(x1801,x1802)+E(f15(x1801,x1803,x1804),f15(x1802,x1803,x1804))
% 0.87/1.04 [181]~E(x1811,x1812)+E(f15(x1813,x1811,x1814),f15(x1813,x1812,x1814))
% 0.87/1.04 [182]~E(x1821,x1822)+E(f15(x1823,x1824,x1821),f15(x1823,x1824,x1822))
% 0.87/1.04 [183]~E(x1831,x1832)+E(f50(x1831,x1833,x1834),f50(x1832,x1833,x1834))
% 0.87/1.04 [184]~E(x1841,x1842)+E(f50(x1843,x1841,x1844),f50(x1843,x1842,x1844))
% 0.87/1.04 [185]~E(x1851,x1852)+E(f50(x1853,x1854,x1851),f50(x1853,x1854,x1852))
% 0.87/1.04 [186]~P1(x1861)+P1(x1862)+~E(x1861,x1862)
% 0.87/1.04 [187]P9(x1872,x1873,x1874,x1875,x1876,x1877,x1878,x1879,x18710)+~E(x1871,x1872)+~P9(x1871,x1873,x1874,x1875,x1876,x1877,x1878,x1879,x18710)
% 0.87/1.04 [188]P9(x1883,x1882,x1884,x1885,x1886,x1887,x1888,x1889,x18810)+~E(x1881,x1882)+~P9(x1883,x1881,x1884,x1885,x1886,x1887,x1888,x1889,x18810)
% 0.87/1.04 [189]P9(x1893,x1894,x1892,x1895,x1896,x1897,x1898,x1899,x18910)+~E(x1891,x1892)+~P9(x1893,x1894,x1891,x1895,x1896,x1897,x1898,x1899,x18910)
% 0.87/1.04 [190]P9(x1903,x1904,x1905,x1902,x1906,x1907,x1908,x1909,x19010)+~E(x1901,x1902)+~P9(x1903,x1904,x1905,x1901,x1906,x1907,x1908,x1909,x19010)
% 0.87/1.04 [191]P9(x1913,x1914,x1915,x1916,x1912,x1917,x1918,x1919,x19110)+~E(x1911,x1912)+~P9(x1913,x1914,x1915,x1916,x1911,x1917,x1918,x1919,x19110)
% 0.87/1.04 [192]P9(x1923,x1924,x1925,x1926,x1927,x1922,x1928,x1929,x19210)+~E(x1921,x1922)+~P9(x1923,x1924,x1925,x1926,x1927,x1921,x1928,x1929,x19210)
% 0.87/1.04 [193]P9(x1933,x1934,x1935,x1936,x1937,x1938,x1932,x1939,x19310)+~E(x1931,x1932)+~P9(x1933,x1934,x1935,x1936,x1937,x1938,x1931,x1939,x19310)
% 0.87/1.04 [194]P9(x1943,x1944,x1945,x1946,x1947,x1948,x1949,x1942,x19410)+~E(x1941,x1942)+~P9(x1943,x1944,x1945,x1946,x1947,x1948,x1949,x1941,x19410)
% 0.87/1.04 [195]P9(x1953,x1954,x1955,x1956,x1957,x1958,x1959,x19510,x1952)+~E(x1951,x1952)+~P9(x1953,x1954,x1955,x1956,x1957,x1958,x1959,x19510,x1951)
% 0.87/1.04 [196]~P2(x1961)+P2(x1962)+~E(x1961,x1962)
% 0.87/1.04 [197]~P25(x1971)+P25(x1972)+~E(x1971,x1972)
% 0.87/1.04 [198]~P15(x1981)+P15(x1982)+~E(x1981,x1982)
% 0.87/1.04 [199]P5(x1992,x1993,x1994)+~E(x1991,x1992)+~P5(x1991,x1993,x1994)
% 0.87/1.04 [200]P5(x2003,x2002,x2004)+~E(x2001,x2002)+~P5(x2003,x2001,x2004)
% 0.87/1.04 [201]P5(x2013,x2014,x2012)+~E(x2011,x2012)+~P5(x2013,x2014,x2011)
% 0.87/1.04 [202]~P16(x2021)+P16(x2022)+~E(x2021,x2022)
% 0.87/1.04 [203]~P22(x2031)+P22(x2032)+~E(x2031,x2032)
% 0.87/1.04 [204]~P17(x2041)+P17(x2042)+~E(x2041,x2042)
% 0.87/1.04 [205]P11(x2052,x2053,x2054)+~E(x2051,x2052)+~P11(x2051,x2053,x2054)
% 0.87/1.04 [206]P11(x2063,x2062,x2064)+~E(x2061,x2062)+~P11(x2063,x2061,x2064)
% 0.87/1.04 [207]P11(x2073,x2074,x2072)+~E(x2071,x2072)+~P11(x2073,x2074,x2071)
% 0.87/1.04 [208]~P18(x2081)+P18(x2082)+~E(x2081,x2082)
% 0.87/1.04 [209]P6(x2092,x2093,x2094,x2095)+~E(x2091,x2092)+~P6(x2091,x2093,x2094,x2095)
% 0.87/1.04 [210]P6(x2103,x2102,x2104,x2105)+~E(x2101,x2102)+~P6(x2103,x2101,x2104,x2105)
% 0.87/1.04 [211]P6(x2113,x2114,x2112,x2115)+~E(x2111,x2112)+~P6(x2113,x2114,x2111,x2115)
% 0.87/1.04 [212]P6(x2123,x2124,x2125,x2122)+~E(x2121,x2122)+~P6(x2123,x2124,x2125,x2121)
% 0.87/1.04 [213]~P3(x2131)+P3(x2132)+~E(x2131,x2132)
% 0.87/1.04 [214]~P24(x2141)+P24(x2142)+~E(x2141,x2142)
% 0.87/1.04 [215]~P13(x2151)+P13(x2152)+~E(x2151,x2152)
% 0.87/1.04 [216]~P19(x2161)+P19(x2162)+~E(x2161,x2162)
% 0.87/1.04 [217]~P20(x2171)+P20(x2172)+~E(x2171,x2172)
% 0.87/1.04 [218]P8(x2182,x2183,x2184)+~E(x2181,x2182)+~P8(x2181,x2183,x2184)
% 0.87/1.04 [219]P8(x2193,x2192,x2194)+~E(x2191,x2192)+~P8(x2193,x2191,x2194)
% 0.87/1.04 [220]P8(x2203,x2204,x2202)+~E(x2201,x2202)+~P8(x2203,x2204,x2201)
% 0.87/1.04 [221]~P4(x2211)+P4(x2212)+~E(x2211,x2212)
% 0.87/1.04 [222]~P14(x2221)+P14(x2222)+~E(x2221,x2222)
% 0.87/1.04 [223]P10(x2232,x2233,x2234,x2235,x2236,x2237)+~E(x2231,x2232)+~P10(x2231,x2233,x2234,x2235,x2236,x2237)
% 0.87/1.04 [224]P10(x2243,x2242,x2244,x2245,x2246,x2247)+~E(x2241,x2242)+~P10(x2243,x2241,x2244,x2245,x2246,x2247)
% 0.87/1.04 [225]P10(x2253,x2254,x2252,x2255,x2256,x2257)+~E(x2251,x2252)+~P10(x2253,x2254,x2251,x2255,x2256,x2257)
% 0.87/1.04 [226]P10(x2263,x2264,x2265,x2262,x2266,x2267)+~E(x2261,x2262)+~P10(x2263,x2264,x2265,x2261,x2266,x2267)
% 0.87/1.04 [227]P10(x2273,x2274,x2275,x2276,x2272,x2277)+~E(x2271,x2272)+~P10(x2273,x2274,x2275,x2276,x2271,x2277)
% 0.87/1.04 [228]P10(x2283,x2284,x2285,x2286,x2287,x2282)+~E(x2281,x2282)+~P10(x2283,x2284,x2285,x2286,x2287,x2281)
% 0.87/1.04 [229]~P21(x2291)+P21(x2292)+~E(x2291,x2292)
% 0.87/1.04 [230]P7(x2302,x2303,x2304,x2305,x2306,x2307)+~E(x2301,x2302)+~P7(x2301,x2303,x2304,x2305,x2306,x2307)
% 0.87/1.04 [231]P7(x2313,x2312,x2314,x2315,x2316,x2317)+~E(x2311,x2312)+~P7(x2313,x2311,x2314,x2315,x2316,x2317)
% 0.87/1.04 [232]P7(x2323,x2324,x2322,x2325,x2326,x2327)+~E(x2321,x2322)+~P7(x2323,x2324,x2321,x2325,x2326,x2327)
% 0.87/1.04 [233]P7(x2333,x2334,x2335,x2332,x2336,x2337)+~E(x2331,x2332)+~P7(x2333,x2334,x2335,x2331,x2336,x2337)
% 0.87/1.04 [234]P7(x2343,x2344,x2345,x2346,x2342,x2347)+~E(x2341,x2342)+~P7(x2343,x2344,x2345,x2346,x2341,x2347)
% 0.87/1.04 [235]P7(x2353,x2354,x2355,x2356,x2357,x2352)+~E(x2351,x2352)+~P7(x2353,x2354,x2355,x2356,x2357,x2351)
% 0.87/1.04 [236]~P27(x2361)+P27(x2362)+~E(x2361,x2362)
% 0.87/1.04 [237]P12(x2372,x2373,x2374,x2375,x2376)+~E(x2371,x2372)+~P12(x2371,x2373,x2374,x2375,x2376)
% 0.87/1.04 [238]P12(x2383,x2382,x2384,x2385,x2386)+~E(x2381,x2382)+~P12(x2383,x2381,x2384,x2385,x2386)
% 0.87/1.04 [239]P12(x2393,x2394,x2392,x2395,x2396)+~E(x2391,x2392)+~P12(x2393,x2394,x2391,x2395,x2396)
% 0.87/1.04 [240]P12(x2403,x2404,x2405,x2402,x2406)+~E(x2401,x2402)+~P12(x2403,x2404,x2405,x2401,x2406)
% 0.87/1.04 [241]P12(x2413,x2414,x2415,x2416,x2412)+~E(x2411,x2412)+~P12(x2413,x2414,x2415,x2416,x2411)
% 0.87/1.04 [242]~P23(x2421)+P23(x2422)+~E(x2421,x2422)
% 0.87/1.04 [243]~P26(x2431)+P26(x2432)+~E(x2431,x2432)
% 0.87/1.04
% 0.87/1.04 %-------------------------------------------
% 0.87/1.04 cnf(942,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(scs_inference,[],[388,320,697]),
% 0.87/1.04 ['proof']).
% 0.87/1.04 % SZS output end Proof
% 0.87/1.04 % Total time :0.110000s
%------------------------------------------------------------------------------