TSTP Solution File: SCT031-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT031-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 14:09:55 EDT 2023
% Result : Unsatisfiable 0.97s 1.04s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT031-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:54:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.86/0.99 %-------------------------------------------
% 0.86/0.99 % File :CSE---1.6
% 0.86/0.99 % Problem :theBenchmark
% 0.86/0.99 % Transform :cnf
% 0.86/0.99 % Format :tptp:raw
% 0.86/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.86/0.99
% 0.86/0.99 % Result :Theorem 0.060000s
% 0.86/0.99 % Output :CNFRefutation 0.060000s
% 0.86/0.99 %-------------------------------------------
% 0.86/1.00 %------------------------------------------------------------------------------
% 0.86/1.00 % File : SCT031-1 : TPTP v8.1.2. Released v4.1.0.
% 0.86/1.00 % Domain : Social Choice Theory
% 0.86/1.00 % Problem : Arrow Order 165_3
% 0.86/1.00 % Version : Especial.
% 0.86/1.00 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 0.86/1.00 % formalization is based on utility functions, the other one on
% 0.86/1.00 % strict partial orders.
% 0.86/1.00
% 0.86/1.00 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 0.86/1.00 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.86/1.00 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.86/1.00 % Source : [Nip10]
% 0.86/1.00 % Names : Arrow_Order-165_39 [Nip10]
% 0.86/1.00
% 0.86/1.00 % Status : Unsatisfiable
% 0.86/1.00 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.26 v7.4.0, 0.18 v7.3.0, 0.17 v7.2.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.50 v5.4.0, 0.55 v5.3.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.50 v4.1.0
% 0.86/1.00 % Syntax : Number of clauses : 696 ( 162 unt; 119 nHn; 353 RR)
% 0.86/1.00 % Number of literals : 1699 ( 423 equ; 856 neg)
% 0.86/1.00 % Maximal clause size : 7 ( 2 avg)
% 0.86/1.00 % Maximal term depth : 8 ( 2 avg)
% 0.86/1.00 % Number of predicates : 28 ( 27 usr; 0 prp; 1-9 aty)
% 0.86/1.00 % Number of functors : 69 ( 69 usr; 10 con; 0-5 aty)
% 0.86/1.00 % Number of variables : 2623 ( 299 sgn)
% 0.86/1.00 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.86/1.00
% 0.86/1.00 % Comments :
% 0.86/1.00 %------------------------------------------------------------------------------
% 0.86/1.00 cnf(cls_le__supE_1,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_b,V_x,T_a)
% 0.86/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__supI1_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__supI2_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__sup__iff_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,V_z,T_a)
% 0.86/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__sup__iff_1,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_y,V_z,T_a)
% 0.86/1.00 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_image__image_0,axiom,
% 0.86/1.00 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) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.86/1.00 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)) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Un__Int__distrib_0,axiom,
% 0.86/1.00 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)) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.86/1.00 | 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) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.86/1.00 | 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) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Int__subset__iff_2,axiom,
% 0.86/1.00 ( 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))
% 0.86/1.00 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Int__greatest_0,axiom,
% 0.86/1.00 ( 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))
% 0.86/1.00 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Int__lower2_0,axiom,
% 0.86/1.00 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)) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Int__lower1_0,axiom,
% 0.86/1.00 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)) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__le1_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.86/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__le2_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.86/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__infI_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_b,T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__inf__iff_2,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_z,T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__greatest_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.86/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_z,T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olattice(T_a)
% 0.86/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olattice(T_a)
% 0.86/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Un__mono_0,axiom,
% 0.86/1.00 ( 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))
% 0.86/1.00 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_subset__empty_1,axiom,
% 0.86/1.00 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)) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_subset__empty_0,axiom,
% 0.86/1.00 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_fun__upd__idem__iff_1,axiom,
% 0.86/1.00 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_fun__upd__apply_0,axiom,
% 0.86/1.00 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_fun__upd__triv_0,axiom,
% 0.86/1.00 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_fun__upd__same_0,axiom,
% 0.86/1.00 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_fun__upd__idem_0,axiom,
% 0.86/1.00 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_subset__Un__eq_1,axiom,
% 0.86/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.86/1.00 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Un__absorb2_0,axiom,
% 0.86/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.86/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_Un__absorb1_0,axiom,
% 0.86/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.86/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__iff__sup_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_le__iff__sup_1,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.86/1.00 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_sup__absorb1_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.86/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_order__less__imp__le_0,axiom,
% 0.86/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.00 | c_lessequals(V_x,V_y,T_a)
% 0.86/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_order__le__less_1,axiom,
% 0.86/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.00 | c_lessequals(V_x,V_y,T_a)
% 0.86/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_less__fun__def_0,axiom,
% 0.86/1.00 ( ~ class_HOL_Oord(T_b)
% 0.86/1.00 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 0.86/1.00 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_psubset__eq_0,axiom,
% 0.86/1.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_inf__sup__absorb_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olattice(T_a)
% 0.86/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_order__antisym__conv_0,axiom,
% 0.86/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.00 | V_x = V_y
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a)
% 0.86/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_order__antisym_0,axiom,
% 0.86/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.00 | V_x = V_y
% 0.86/1.00 | ~ c_lessequals(V_y,V_x,T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_order__eq__iff_2,axiom,
% 0.86/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.00 | V_x = V_y
% 0.86/1.00 | ~ c_lessequals(V_y,V_x,T_a)
% 0.86/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_set__eq__subset_2,axiom,
% 0.86/1.00 ( V_A = V_B
% 0.86/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_equalityI_0,axiom,
% 0.86/1.00 ( V_A = V_B
% 0.86/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.86/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_sup__inf__absorb_0,axiom,
% 0.86/1.00 ( ~ class_Lattices_Olattice(T_a)
% 0.86/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.86/1.00
% 0.86/1.00 cnf(cls_less__fun__def_2,axiom,
% 0.86/1.00 ( ~ class_HOL_Oord(T_b)
% 0.86/1.00 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 0.86/1.01 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 0.86/1.01 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_less__le__not__le_2,axiom,
% 0.86/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.01 | c_lessequals(V_y,V_x,T_a)
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_distrib__sup__le_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.86/1.01 | 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) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Diff__mono_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_fun__upd__upd_0,axiom,
% 0.86/1.01 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) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__empty__right_0,axiom,
% 0.86/1.01 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 ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__empty__left_0,axiom,
% 0.86/1.01 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 ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup__bot__left_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.86/1.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup__bot__right_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.86/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup1CI_1,axiom,
% 0.86/1.01 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.86/1.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup1CI_0,axiom,
% 0.86/1.01 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.86/1.01 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup1E_0,axiom,
% 0.86/1.01 ( hBOOL(hAPP(V_B,V_x))
% 0.86/1.01 | hBOOL(hAPP(V_A,V_x))
% 0.86/1.01 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_fun__upd__twist_0,axiom,
% 0.86/1.01 ( 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)
% 0.86/1.01 | V_a = V_c ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Image__Int__subset_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_empty__fold__graphE_0,axiom,
% 0.86/1.01 ( V_x = V_z
% 0.86/1.01 | ~ 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) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__insertI_0,axiom,
% 0.86/1.01 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Image__empty_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_bot__least_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Obot(T_a)
% 0.86/1.01 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_empty__subsetI_0,axiom,
% 0.86/1.01 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.86/1.01 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ 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)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Compl__anti__mono_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_le__imp__neg__le_0,axiom,
% 0.86/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.01 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.86/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_neg__le__iff__le_0,axiom,
% 0.86/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.01 | c_lessequals(V_a,V_b,T_a)
% 0.86/1.01 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__insert__right_0,axiom,
% 0.86/1.01 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) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__insert__left_0,axiom,
% 0.86/1.01 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) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__insertI2_0,axiom,
% 0.86/1.01 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_insert__subset_1,axiom,
% 0.86/1.01 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Int__Un__distrib_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.86/1.01 | 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) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.86/1.01 | 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) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__absorb_0,axiom,
% 0.86/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_sup__idem_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Image__Un_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Image__subset__eq_1,axiom,
% 0.86/1.01 ( c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ 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)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Image__subset__eq_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_COMBB__def_0,axiom,
% 0.86/1.01 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_not__leE_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.01 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_le__supE_0,axiom,
% 0.86/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.86/1.01 | c_lessequals(V_a,V_x,T_a)
% 0.86/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__subset__iff_0,axiom,
% 0.86/1.01 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ 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)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__subset__iff_1,axiom,
% 0.86/1.01 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ 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)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_xt1_I6_J_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_lessequals(V_z,V_x,T_a)
% 0.86/1.01 | ~ c_lessequals(V_z,V_y,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_xt1_I7_J_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/1.01 | ~ c_lessequals(V_z,V_y,T_a)
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_xt1_I8_J_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__trans_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.01 | c_lessequals(V_x,V_z,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y,V_z,T_a)
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_equalityE_0,axiom,
% 0.86/1.01 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__refl_0,axiom,
% 0.86/1.01 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__trans_0,axiom,
% 0.86/1.01 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__inj__on_0,axiom,
% 0.86/1.01 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_predicate1D_0,axiom,
% 0.86/1.01 ( hBOOL(hAPP(V_Q,V_x))
% 0.86/1.01 | ~ hBOOL(hAPP(V_P,V_x))
% 0.86/1.01 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__eq__iff_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__eq__refl_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.01 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_psubset__subset__trans_0,axiom,
% 0.86/1.01 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__psubset__trans_0,axiom,
% 0.86/1.01 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_rev__predicate1D_0,axiom,
% 0.86/1.01 ( hBOOL(hAPP(V_Q,V_x))
% 0.86/1.01 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__le__less__trans_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__less__le__trans_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y,V_z,T_a)
% 0.86/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Int__mono_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_UN__Un_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_fun__upd__apply_1,axiom,
% 0.86/1.01 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 0.86/1.01 | V_z = V_x ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_fun__upd__other_0,axiom,
% 0.86/1.01 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 0.86/1.01 | V_z = V_x ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_double__diff_0,axiom,
% 0.86/1.01 ( 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
% 0.86/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_le__eqI_0,axiom,
% 0.86/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/1.01 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_le__eqI_1,axiom,
% 0.86/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/1.01 | c_lessequals(V_y,V_x,T_a)
% 0.86/1.01 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_image__mono_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__image__iff_2,axiom,
% 0.86/1.01 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.86/1.01 | 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)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_insert__mono_0,axiom,
% 0.86/1.01 ( 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))
% 0.86/1.01 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_Un__empty_2,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_xt1_I11_J_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/1.01 | V_a = V_b
% 0.86/1.01 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_xt1_I12_J_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/1.01 | ~ c_lessequals(V_b,V_a,T_a)
% 0.86/1.01 | V_a = V_b ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_psubset__eq_2,axiom,
% 0.86/1.01 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | V_A = V_B
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__le__less_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | V_x = V_y
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__less__le_2,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.01 | V_x = V_y
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 0.86/1.01 ( V_A = V_B
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__le__neq__trans_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.01 | V_a = V_b
% 0.86/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_order__neq__le__trans_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.01 | ~ c_lessequals(V_a,V_b,T_a)
% 0.86/1.01 | V_a = V_b ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.01 | V_x = V_y
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a)
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.01 | V_x = V_y
% 0.86/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_image__Un_0,axiom,
% 0.86/1.01 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)) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_linorder__linear_0,axiom,
% 0.86/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.01 | c_lessequals(V_y,V_x,T_a)
% 0.86/1.01 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_equiv__class__self_0,axiom,
% 0.86/1.01 ( 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)))
% 0.86/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.86/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_subset__equiv__class_0,axiom,
% 0.86/1.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.86/1.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 0.86/1.01 | ~ 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))
% 0.86/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.86/1.01
% 0.86/1.01 cnf(cls_fold__graph_OinsertI_0,axiom,
% 0.86/1.01 ( 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)
% 0.86/1.01 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_subset__insert_0,axiom,
% 0.86/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_subset__insert_1,axiom,
% 0.86/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_subset__insert__iff_1,axiom,
% 0.86/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.86/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_subset__insert__iff_2,axiom,
% 0.86/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_insert__subset_0,axiom,
% 0.86/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.86/1.02 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_insert__subset_2,axiom,
% 0.86/1.02 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_image__subset__iff_0,axiom,
% 0.86/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 0.86/1.02 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_fun__upd__image_1,axiom,
% 0.86/1.02 ( 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_Oimage(V_f,V_A,T_b,T_a)
% 0.86/1.02 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_equiv__class__eq_0,axiom,
% 0.86/1.02 ( 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)
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.86/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_equiv__class__eq__iff_0,axiom,
% 0.86/1.02 ( 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)
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.86/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_le__SUPI_0,axiom,
% 0.86/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.86/1.02 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_UN__upper_0,axiom,
% 0.86/1.02 ( 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))
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_UN__subset__iff_0,axiom,
% 0.86/1.02 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I))
% 0.86/1.02 | ~ 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)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_UN__absorb_0,axiom,
% 0.86/1.02 ( 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))
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_pred__subset__eq_0,axiom,
% 0.86/1.02 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ 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)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_pred__subset__eq_1,axiom,
% 0.86/1.02 ( 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))
% 0.86/1.02 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_Sup__upper_0,axiom,
% 0.86/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.86/1.02 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.86/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_insert__is__Un_0,axiom,
% 0.86/1.02 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)) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_subset__singletonD_0,axiom,
% 0.86/1.02 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.86/1.02 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.86/1.02 | ~ 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)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.86/1.02 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 ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.86/1.02 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 ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.86/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/1.02 | 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) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_compl__sup_0,axiom,
% 0.86/1.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.86/1.02 | 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) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.86/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/1.02 | 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) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_compl__inf_0,axiom,
% 0.86/1.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.86/1.02 | 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) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.86/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/1.02 | 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)) ) ).
% 0.86/1.02
% 0.86/1.02 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.86/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.93/1.02 | 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UN__insert_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_image__Int__subset_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UN__extend__simps_I10_J_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UN__simps_I10_J_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Sup__insert_0,axiom,
% 0.93/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.93/1.02 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.93/1.02 | ~ 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)
% 0.93/1.02 | V_A = V_B ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Union__upper_0,axiom,
% 0.93/1.02 ( c_lessequals(V_B,c_Complete__Lattice_OSup__class_OSup(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_image__diff__subset_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__Diff__Int_0,axiom,
% 0.93/1.02 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 ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__Un_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__Int_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Inf__lower_0,axiom,
% 0.93/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.02 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.93/1.02 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Collect__neg__eq_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_vimage__Collect__eq_0,axiom,
% 0.93/1.02 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) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Compl__Un_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Compl__Int_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_image__vimage__subset_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_PowD_0,axiom,
% 0.93/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_PowI_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a)))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Union__quotient_0,axiom,
% 0.93/1.02 ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Inter__lower_0,axiom,
% 0.93/1.02 ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_eq__equiv__class__iff_0,axiom,
% 0.93/1.02 ( 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)
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_eq__equiv__class__iff_1,axiom,
% 0.93/1.02 ( 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)
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_equiv__class__eq__iff_3,axiom,
% 0.93/1.02 ( 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)
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_eq__equiv__class_0,axiom,
% 0.93/1.02 ( 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)
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,V_x,T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.93/1.02 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__not__less_1,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.93/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__not__less_0,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | c_lessequals(V_y,V_x,T_a)
% 0.93/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__not__le_1,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,V_y,T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_linorder__not__le_0,axiom,
% 0.93/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.93/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.93/1.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_less__fun__def_1,axiom,
% 0.93/1.02 ( ~ class_HOL_Oord(T_b)
% 0.93/1.02 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_less__le__not__le_1,axiom,
% 0.93/1.02 ( ~ class_Orderings_Opreorder(T_a)
% 0.93/1.02 | ~ c_lessequals(V_y,V_x,T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__left__commute_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__assoc_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__assoc_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__left__commute_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Int__absorb2_0,axiom,
% 0.93/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Int__absorb1_0,axiom,
% 0.93/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.93/1.02 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__iff__inf_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.93/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__iff__inf_1,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.93/1.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__absorb2_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.93/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__subset__iff_2,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__upper2_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__upper1_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__least_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__supI_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_b,V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__ge1_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__ge2_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__least_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_z,V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__sup__iff_2,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.93/1.02 | ~ c_lessequals(V_y,V_z,T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__partition_0,axiom,
% 0.93/1.02 ( 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
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_equiv__class__subset_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_distrib__inf__le_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__subset_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__Int__crazy_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_fold__graph_OemptyI_0,axiom,
% 0.93/1.02 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) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
% 0.93/1.02 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) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_vimage__mono_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__empty_1,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__empty_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.93/1.02 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.93/1.02 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.93/1.02 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.93/1.02 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Int__subset__iff_1,axiom,
% 0.93/1.02 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Int__subset__iff_0,axiom,
% 0.93/1.02 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__infE_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,V_a,T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__infE_1,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,V_b,T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__infI1_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__infI2_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.93/1.02 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__inf__iff_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,V_y,T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__inf__iff_1,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.02 | c_lessequals(V_x,V_z,T_a)
% 0.93/1.02 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__Diff_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__commute_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__commute_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Un__left__absorb_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_sup__left__idem_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_vimage__Un_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_fun__upd__idem__iff_0,axiom,
% 0.93/1.02 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 0.93/1.02 | hAPP(V_f,V_x) = V_y ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_setsum__negf_0,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.93/1.02 | 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__Un_1,axiom,
% 0.93/1.02 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.93/1.02 | ~ 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__Un_0,axiom,
% 0.93/1.02 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.93/1.02 | ~ 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__subset__conv_1,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__subset__conv_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_less__supI1_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_less__supI2_0,axiom,
% 0.93/1.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.93/1.02 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__funD_0,axiom,
% 0.93/1.02 ( ~ class_HOL_Oord(T_b)
% 0.93/1.02 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.93/1.02 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__minus__iff_0,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.02 | c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.93/1.02 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_le__minus__iff_1,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.02 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.93/1.02 | ~ c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_minus__le__iff_0,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.02 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.93/1.02 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_minus__le__iff_1,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.02 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.93/1.02 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_subset__iff_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_set__rev__mp_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_subsetD_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_set__mp_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UnCI_1,axiom,
% 0.93/1.02 ( 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))))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UnCI_0,axiom,
% 0.93/1.02 ( 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))))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_UnE_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.93/1.02 | ~ 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)))) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_bex__Un_6,axiom,
% 0.93/1.02 ( 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))))
% 0.93/1.02 | ~ hBOOL(hAPP(V_P,V_x))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_bex__Un_4,axiom,
% 0.93/1.02 ( 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))))
% 0.93/1.02 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_rev__ImageI_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Image__iff_2,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_equiv__class__eq__iff_2,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_equiv__class__eq__iff_1,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 0.93/1.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))
% 0.93/1.02 | ~ 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))))
% 0.93/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__fun__updI_0,axiom,
% 0.93/1.02 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 0.93/1.02 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_insert__def_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Sup__binary_0,axiom,
% 0.93/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.02 | 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) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_subset__insert__iff_4,axiom,
% 0.93/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_psubset__insert__iff_7,axiom,
% 0.93/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_psubset__insert__iff_3,axiom,
% 0.93/1.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_psubset__insert__iff_2,axiom,
% 0.93/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.93/1.02 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Union__disjoint_2,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | 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)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__image__Int_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_inj__on__image__set__diff_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.02 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_vimage__insert_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.93/1.02 ( 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))
% 0.93/1.02 | c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_eq__eqI_0,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.93/1.02 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.93/1.02 | V_x_H = V_y_H ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_eq__eqI_1,axiom,
% 0.93/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.93/1.02 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.93/1.02 | V_xa = V_y ) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.93/1.02 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) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_Diff__idemp_0,axiom,
% 0.93/1.02 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)) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_COMBK__def_0,axiom,
% 0.93/1.02 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_COMBC__def_0,axiom,
% 0.93/1.02 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.93/1.02
% 0.93/1.02 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.93/1.02 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 ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__commute_0,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mkbot_3,axiom,
% 0.93/1.03 ( 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_Omkbot(V_L,V_z)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_z
% 0.93/1.03 | V_y = V_z ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mkbot_5,axiom,
% 0.93/1.03 ( 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_Omkbot(V_L,V_z)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | V_y = V_z ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_UnionE_0,axiom,
% 0.93/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__insert_2,axiom,
% 0.93/1.03 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 0.93/1.03 | 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)))
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_xt1_I10_J_0,axiom,
% 0.93/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__trans_0,axiom,
% 0.93/1.03 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_order__less__trans_0,axiom,
% 0.93/1.03 ( ~ class_Orderings_Opreorder(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__Collect_1,axiom,
% 0.93/1.03 ( hBOOL(hAPP(V_P,V_x))
% 0.93/1.03 | ~ 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)))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__triv_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_singletonE_0,axiom,
% 0.93/1.03 ( V_b = V_a
% 0.93/1.03 | ~ 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_InterI_1,axiom,
% 0.93/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_image__constant_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__insert_0,axiom,
% 0.93/1.03 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__Diff1_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mkbot_0,axiom,
% 0.93/1.03 ~ 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))) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mkbot_1,axiom,
% 0.93/1.03 ~ 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))) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__insert__iff_1,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__insert__iff_4,axiom,
% 0.93/1.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf__compl__bot_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_compl__inf__bot_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Compl__disjoint_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Compl__disjoint2_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__diff_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_empty__is__image_0,axiom,
% 0.93/1.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.93/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Inf__insert_0,axiom,
% 0.93/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_vimage__Diff_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__insert__iff_8,axiom,
% 0.93/1.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Collect__def_0,axiom,
% 0.93/1.03 c_Collect(V_P,T_a) = V_P ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__insert_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__insert2_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__not__empty_0,axiom,
% 0.93/1.03 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.93/1.03 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))) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__inter__insert_0,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__absorb2_0,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__code_0,axiom,
% 0.93/1.03 ( hBOOL(hAPP(V_A,V_x))
% 0.93/1.03 | V_y = V_x
% 0.93/1.03 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf__bot__right_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.93/1.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf__bot__left_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.93/1.03 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__empty__left_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_quotientE_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_eq__equiv__class__iff2_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_eq__equiv__class__iff2_1,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__Un_2,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | ~ 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__Un_3,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_quotientI_0,axiom,
% 0.93/1.03 ( 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)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__insert__iff_5,axiom,
% 0.93/1.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_quotient__eq__iff_0,axiom,
% 0.93/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_x))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_x))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_y,T_a,T_a)),V_r)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_quotient__eqI_0,axiom,
% 0.93/1.03 ( V_X = V_Y
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Y))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_X))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_fun__upd__image_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Image__singleton__iff_0,axiom,
% 0.93/1.03 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r))
% 0.93/1.03 | ~ 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Image__singleton__iff_1,axiom,
% 0.93/1.03 ( 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)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_funcset__image_0,axiom,
% 0.93/1.03 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.93/1.03 | ~ 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_funcsetI_0,axiom,
% 0.93/1.03 ( 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)))
% 0.93/1.03 | 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_funcsetI_1,axiom,
% 0.93/1.03 ( 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)))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_quotient__disj_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | V_X = V_Y
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))
% 0.93/1.03 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_psubset__insert__iff_9,axiom,
% 0.93/1.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_vimage__def_0,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Compl__eq_0,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Union__disjoint_1,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
% 0.93/1.03 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.93/1.03 | ~ 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_subset__insert__iff_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_subset__insert__iff_3,axiom,
% 0.93/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_diff__single__insert_0,axiom,
% 0.93/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_setsum__diff1__nat_1,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff1__fold__graph_0,axiom,
% 0.93/1.03 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_image__empty_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__eq_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_diff__eq_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__empty_0,axiom,
% 0.93/1.03 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__commute_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf__commute_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.93/1.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.93/1.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__Diff__single_0,axiom,
% 0.93/1.03 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) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_singleton__inject_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mktop_4,axiom,
% 0.93/1.03 ( V_xa = V_x
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_image__constant__conv_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.93/1.03 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_vimage__Compl_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_UN__constant_1,axiom,
% 0.93/1.03 ( 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
% 0.93/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_SUP__const_0,axiom,
% 0.93/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.93/1.03 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 0.93/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__code_2,axiom,
% 0.93/1.03 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.93/1.03 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__image_0,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__insert__right_1,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__insert__left_1,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_UN__constant_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__mkbot_2,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | V_x = V_z
% 0.93/1.03 | ~ 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_Omkbot(V_L,V_z))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_empty__is__image_1,axiom,
% 0.93/1.03 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) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__disjoint_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Inf__singleton_0,axiom,
% 0.93/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.03 | 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 ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Int__Collect_0,axiom,
% 0.93/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.93/1.03 | ~ 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)))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_complete__Lin_1,axiom,
% 0.93/1.03 ( 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_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b)))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inj__on__insert_1,axiom,
% 0.93/1.03 ( ~ 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)))
% 0.93/1.03 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Union__disjoint_0,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | 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))
% 0.93/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_C)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__Compl_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_insert__Diff__if_1,axiom,
% 0.93/1.03 ( 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)
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf1E_1,axiom,
% 0.93/1.03 ( hBOOL(hAPP(V_B,V_x))
% 0.93/1.03 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_inf1E_0,axiom,
% 0.93/1.03 ( hBOOL(hAPP(V_A,V_x))
% 0.93/1.03 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.93/1.03 ( 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
% 0.93/1.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_double__complement_0,axiom,
% 0.93/1.03 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 ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_minus__minus_0,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.93/1.03 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_double__compl_0,axiom,
% 0.93/1.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.93/1.03 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_equation__minus__iff_0,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.93/1.03 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_equation__minus__iff_1,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.93/1.03 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_minus__equation__iff_1,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.93/1.03 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_minus__diff__eq_0,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_vimage__Int_0,axiom,
% 0.93/1.03 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)) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_Inf__binary_0,axiom,
% 0.93/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.93/1.03 | 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) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_less__minus__iff_0,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_less__minus__iff_1,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_minus__less__iff_0,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_minus__less__iff_1,axiom,
% 0.93/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.93/1.03 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.93/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_0,axiom,
% 0.93/1.03 ( ~ 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)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_7,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_6,axiom,
% 0.93/1.03 ( V_x = V_b
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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_Oabove(V_L,V_x,V_b)))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_3,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | V_y = V_b
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | ~ 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_Oabove(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_2,axiom,
% 0.93/1.03 ( V_xa = V_x
% 0.93/1.03 | ~ 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)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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))
% 0.93/1.03 | V_xa = V_a ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_1,axiom,
% 0.93/1.03 ( ~ 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_Oabove(V_L,V_a,V_x)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_13,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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_Obelow(V_L,V_x,V_b))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_12,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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)))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_10,axiom,
% 0.93/1.03 ( 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_Obelow(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_a
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_8,axiom,
% 0.93/1.03 ( 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_Obelow(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_y = V_a
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_5,axiom,
% 0.93/1.03 ( V_xa = V_x
% 0.93/1.03 | V_x = V_xa
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_xa
% 0.93/1.03 | 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_14,axiom,
% 0.93/1.03 ( 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_Oabove(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_11,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_9,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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_Oabove(V_L,V_a,V_x))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_4,axiom,
% 0.93/1.03 ( 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_Oabove(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_y = V_b
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_0,axiom,
% 0.93/1.03 ( ~ 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)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_7,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_y = V_x
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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_Obelow(V_L,V_x,V_b))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_6,axiom,
% 0.93/1.03 ( V_x = V_a
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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)))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_3,axiom,
% 0.93/1.03 ( 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))
% 0.93/1.03 | V_x = V_a
% 0.93/1.03 | V_y = V_a
% 0.93/1.03 | ~ 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_Obelow(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_2,axiom,
% 0.93/1.03 ( V_y = V_x
% 0.93/1.03 | ~ 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_Obelow(V_L,V_x,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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))
% 0.93/1.03 | V_y = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__below_1,axiom,
% 0.93/1.03 ( ~ 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)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_13,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_xa = V_x
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_x
% 0.93/1.03 | 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))) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_12,axiom,
% 0.93/1.03 ( ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_b
% 0.93/1.03 | 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_Oabove(V_L,V_x,V_b)))
% 0.93/1.03 | ~ 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)) ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_10,axiom,
% 0.93/1.03 ( 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_Oabove(V_L,V_a,V_b)))
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_y = V_b
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_x = V_y
% 0.93/1.03 | ~ 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))
% 0.93/1.03 | V_a = V_b ) ).
% 0.93/1.03
% 0.93/1.03 cnf(cls_in__above_8,axiom,
% 0.93/1.03 ( 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_Oabove(V_L,V_a,V_b)))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_x = V_b
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_a = V_b ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__above_5,axiom,
% 0.97/1.03 ( V_xa = V_x
% 0.97/1.03 | V_xa = V_x
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_xa = V_x
% 0.97/1.03 | 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))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__below_14,axiom,
% 0.97/1.03 ( 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_Obelow(V_L,V_a,V_b)))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_a = V_b ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__below_11,axiom,
% 0.97/1.03 ( ~ 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))
% 0.97/1.03 | V_x = V_xa
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_x = V_xa
% 0.97/1.03 | 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))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__below_9,axiom,
% 0.97/1.03 ( ~ 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))
% 0.97/1.03 | V_xa = V_x
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_x = V_b
% 0.97/1.03 | 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))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__below_4,axiom,
% 0.97/1.03 ( 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_Obelow(V_L,V_a,V_b)))
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_x = V_a
% 0.97/1.03 | V_y = V_a
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | ~ 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))
% 0.97/1.03 | V_a = V_b ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bexCI_1,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__iff_2,axiom,
% 0.97/1.03 ( 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))))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_IntI_0,axiom,
% 0.97/1.03 ( 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))))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ball__conj__distrib_9,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_Q,V_xb))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A))
% 0.97/1.03 | 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))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ball__conj__distrib_8,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_P,V_xb))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A))
% 0.97/1.03 | 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))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ball__conj__distrib_7,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_Q,V_xa))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.97/1.03 | 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)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ball__conj__distrib_6,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_P,V_xa))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.97/1.03 | 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)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ord_OatLeastLessThan__iff_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_insert__iff_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_insertCI_0,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ord_OatLeastAtMost__iff_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bexCI_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ex__in__conv_0,axiom,
% 0.97/1.03 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ball__empty_0,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_P,V_x))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_empty__iff_0,axiom,
% 0.97/1.03 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_emptyE_0,axiom,
% 0.97/1.03 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_insertE_0,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.97/1.03 | V_a = V_b
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_ord_OgreaterThanAtMost__iff_2,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_DiffE_1,axiom,
% 0.97/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_DiffE_0,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bexCI_0,axiom,
% 0.97/1.03 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bexI_1,axiom,
% 0.97/1.03 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__empty__right_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Sup__empty_0,axiom,
% 0.97/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.97/1.03 | 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Diff__empty_0,axiom,
% 0.97/1.03 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 ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Diff__cancel_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_not__psubset__empty_0,axiom,
% 0.97/1.03 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__mkbot_4,axiom,
% 0.97/1.03 ( V_x = V_y
% 0.97/1.03 | V_y = V_x
% 0.97/1.03 | 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_Omkbot(V_L,V_x))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_converse__converse_0,axiom,
% 0.97/1.03 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.97/1.03 | 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.97/1.03 | 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_inf__left__commute_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.03 | 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_inf__assoc_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.03 | 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__assoc_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__left__commute_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.97/1.03 ( 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))
% 0.97/1.03 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_empty__Diff_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_neg__less__iff__less_1,axiom,
% 0.97/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.97/1.03 | 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)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_neg__less__iff__less_0,axiom,
% 0.97/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.97/1.03 | ~ 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) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bot1E_0,axiom,
% 0.97/1.03 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_image__constant__conv_1,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_psubset__insert__iff_0,axiom,
% 0.97/1.03 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_psubset__insert__iff_6,axiom,
% 0.97/1.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.97/1.03 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.03 | 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)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Pow__bottom_0,axiom,
% 0.97/1.03 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))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Diff__Int2_0,axiom,
% 0.97/1.03 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)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_psubset__eq_1,axiom,
% 0.97/1.03 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_order__less__le_1,axiom,
% 0.97/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_linorder__neq__iff_1,axiom,
% 0.97/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_order__less__irrefl_0,axiom,
% 0.97/1.03 ( ~ class_Orderings_Opreorder(T_a)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_extensionalityI_1,axiom,
% 0.97/1.03 ( 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))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.97/1.03 | V_f = V_g ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.97/1.03 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)
% 0.97/1.03 | V_x = V_y ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.97/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.97/1.03 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 0.97/1.03 | V_a = V_b ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_A = V_B ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__mktop_2,axiom,
% 0.97/1.03 ( 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))
% 0.97/1.03 | V_y = V_z
% 0.97/1.03 | ~ 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))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Collect__empty__eq_0,axiom,
% 0.97/1.03 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.97/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.97/1.03 | V_x = V_y ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.97/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_linorder__neqE_0,axiom,
% 0.97/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.97/1.03 | V_x = V_y ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_linorder__less__linear_0,axiom,
% 0.97/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.97/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.03 | V_x = V_y
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_less__infI2_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_less__infI1_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.03 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.97/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_a = V_d
% 0.97/1.03 | V_a = V_c ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_b = V_c
% 0.97/1.03 | V_a = V_c ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_a = V_d
% 0.97/1.03 | V_b = V_d ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | V_b = V_c
% 0.97/1.03 | V_b = V_d ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_vimage__const_1,axiom,
% 0.97/1.03 ( 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))
% 0.97/1.03 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.97/1.03 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.97/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.97/1.03 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.97/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_bex__UN_3,axiom,
% 0.97/1.03 ( 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))))
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_empty__not__insert_0,axiom,
% 0.97/1.03 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__mktop_0,axiom,
% 0.97/1.03 ~ 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_x))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_in__mktop_1,axiom,
% 0.97/1.03 ~ 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))) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__insert__left_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_Int__insert__right_0,axiom,
% 0.97/1.03 ( 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)
% 0.97/1.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_image__insert_0,axiom,
% 0.97/1.03 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) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.97/1.03 ( hAPP(V_f,V_a) = V_b
% 0.97/1.03 | ~ 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))) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.97/1.03 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) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_empty__Collect__eq_0,axiom,
% 0.97/1.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.97/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_insert__code_1,axiom,
% 0.97/1.03 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.97/1.03
% 0.97/1.03 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.97/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.97/1.04 | 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) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inf__left__idem_0,axiom,
% 0.97/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.04 | 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) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Int__left__absorb_0,axiom,
% 0.97/1.04 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)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_converseD_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r))
% 0.97/1.04 | ~ 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))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_converseI_0,axiom,
% 0.97/1.04 ( 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)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_converse__iff_1,axiom,
% 0.97/1.04 ( 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)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.97/1.04 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.97/1.04 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_UN__empty2_0,axiom,
% 0.97/1.04 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)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insert__Diff_0,axiom,
% 0.97/1.04 ( 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
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inf__idem_0,axiom,
% 0.97/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.97/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Int__absorb_0,axiom,
% 0.97/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Sup__singleton_0,axiom,
% 0.97/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.97/1.04 | 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 ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_image__is__empty_0,axiom,
% 0.97/1.04 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.97/1.04 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_singleton__conv_0,axiom,
% 0.97/1.04 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) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Int__Diff_0,axiom,
% 0.97/1.04 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)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.97/1.04 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.97/1.04 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pair__eq_0,axiom,
% 0.97/1.04 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.97/1.04 | V_a = V_a_H ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pair__eq_1,axiom,
% 0.97/1.04 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.97/1.04 | V_b = V_b_H ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_singleton__iff_1,axiom,
% 0.97/1.04 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))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Int__Collect_2,axiom,
% 0.97/1.04 ( 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))))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Union__Pow__eq_0,axiom,
% 0.97/1.04 c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(V_A,T_a),tc_fun(T_a,tc_bool)) = V_A ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimage__code_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.97/1.04 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimage__code_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inf1I_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(V_B,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_less__eqI_0,axiom,
% 0.97/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.97/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.97/1.04 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_less__eqI_1,axiom,
% 0.97/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.97/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.97/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_singleton__conv2_0,axiom,
% 0.97/1.04 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) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimage__empty_0,axiom,
% 0.97/1.04 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)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Collect__mem__eq_0,axiom,
% 0.97/1.04 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 ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_in__mktop_3,axiom,
% 0.97/1.04 ( 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)))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | V_y = V_z
% 0.97/1.04 | V_x = V_z ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_in__mktop_5,axiom,
% 0.97/1.04 ( 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)))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | V_x = V_y
% 0.97/1.04 | V_x = V_z ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_xt1_I9_J_0,axiom,
% 0.97/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.97/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_order__less__asym_0,axiom,
% 0.97/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_order__less__asym_H_0,axiom,
% 0.97/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ComplI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ComplD_0,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bexE_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThanAtMost__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThanAtMost__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_psubsetD_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.97/1.04 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insert__iff_1,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insertI1_0,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insertCI_1,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_11,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_Q,V_xc))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_10,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,V_xc))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_5,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_Q,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | 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))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_4,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | 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))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_3,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_Q,V_xf))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_2,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,V_xg))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ballE_0,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bexCI_3,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_IntE_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.04 | ~ 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)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_IntE_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 0.97/1.04 | ~ 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)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inj__on__contraD_0,axiom,
% 0.97/1.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | V_x = V_y
% 0.97/1.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inj__on__iff_0,axiom,
% 0.97/1.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.97/1.04 | V_x = V_y ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inj__on__def_0,axiom,
% 0.97/1.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.97/1.04 | V_x = V_xa ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_inj__onD_0,axiom,
% 0.97/1.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.97/1.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.97/1.04 | V_x = V_y
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bex__empty_0,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_pred__equals__eq_0,axiom,
% 0.97/1.04 ( 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)
% 0.97/1.04 | V_R = V_S ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_CollectI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_CollectD_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,V_a))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatMost__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatMost__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Diff__iff_2,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_DiffI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_Q,V_xd))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ball__conj__distrib_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,V_xe))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ballE_1,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insert__ident_0,axiom,
% 0.97/1.04 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | V_A = V_B ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bexI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_UN__iff_2,axiom,
% 0.97/1.04 ( 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))))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_UN__I_0,axiom,
% 0.97/1.04 ( 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))))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThan__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(V_less,V_k),V_i)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OgreaterThan__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_k),V_i))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bex__UN_4,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimage__eq_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimageI2_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimageI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimageE_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_vimageD_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatLeastAtMost__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatLeastAtMost__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bex__Un_7,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bex__Un_5,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_xa))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_bexE_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_insert__absorb_0,axiom,
% 0.97/1.04 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OlessThan__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OlessThan__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_SUP2__iff_2,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_SUP1__iff_2,axiom,
% 0.97/1.04 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_SUP2__I_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_SUP1__I_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatLeastLessThan__iff_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ord_OatLeastLessThan__iff_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_rev__bexI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_rev__bexI_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_rev__image__eqI_0,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_image__iff_2,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_image__eqI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_imageI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pi__I_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pi__I_H_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_extensional__arb_0,axiom,
% 0.97/1.04 ( hAPP(V_f,V_x) = c_HOL_Oundefined(T_b)
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pi__I_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.97/1.04 | ~ 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)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_extensionalityI_0,axiom,
% 0.97/1.04 ( V_f = V_g
% 0.97/1.04 | 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))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_funcset__mem_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),V_B))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ 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))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pi__I_H_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))
% 0.97/1.04 | ~ 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)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_InterI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))
% 0.97/1.04 | 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_UnionE_1,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_quotientE_1,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pow__top_0,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_A,T_a))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_notin__Lin__iff_1,axiom,
% 0.97/1.04 ( ~ 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))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | V_x = V_y
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_notin__Lin__iff_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | 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))
% 0.97/1.04 | V_x = V_y
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Lin__irrefl_0,axiom,
% 0.97/1.04 ( ~ 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))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_assms_I3_J_0,axiom,
% 0.97/1.04 c_Arrow__Order__Mirabelle_OIIA(v_F) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_u_0,axiom,
% 0.97/1.04 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_Pi__mem_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_PiE_0,axiom,
% 0.97/1.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 0.97/1.04 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_InterD_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_UnionI_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool))))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_complete__Lin_0,axiom,
% 0.97/1.04 ( 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__Xcomplete__Lin__1(V_a,V_b)),c_Arrow__Order__Mirabelle_OLin))
% 0.97/1.04 | V_a = V_b ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_mktop__Lin_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_mkbot__Lin_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_below__Lin_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | V_x = V_y ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_linear__alt_0,axiom,
% 0.97/1.04 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)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_converse__in__Lin_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_converse__in__Lin_1,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_above__Lin_0,axiom,
% 0.97/1.04 ( 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))
% 0.97/1.04 | ~ 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))
% 0.97/1.04 | V_x = V_y ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_mem__def_1,axiom,
% 0.97/1.04 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 0.97/1.04 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_mem__def_0,axiom,
% 0.97/1.04 ( hBOOL(hAPP(V_S,V_x))
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_CHAINED_0,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_CHAINED_0_01,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_conjecture_0,negated_conjecture,
% 0.97/1.04 ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.97/1.04 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.97/1.04 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.97/1.04 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.97/1.04 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.97/1.04 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.97/1.04 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.97/1.04 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.97/1.04 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.97/1.04 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.97/1.04 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_Orderings_Obot(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.97/1.04 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.97/1.04 | ~ class_HOL_Oord(T_1) ) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.97/1.04 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.97/1.04 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.97/1.04 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.97/1.04 class_Orderings_Opreorder(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.97/1.04 class_Orderings_Olinorder(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.97/1.04 class_Lattices_Olattice(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.97/1.04 class_Orderings_Oorder(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.97/1.04 class_Orderings_Obot(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.97/1.04 class_HOL_Oord(tc_nat) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.97/1.04 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.97/1.04 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.97/1.04 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.97/1.04 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.97/1.04 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.97/1.04 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.97/1.04 class_Orderings_Opreorder(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.97/1.04 class_Lattices_Olattice(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.97/1.04 class_Orderings_Oorder(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.97/1.04 class_Orderings_Obot(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.97/1.04 class_HOL_Oord(tc_bool) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.97/1.04 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.97/1.04
% 0.97/1.04 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.97/1.04 ( V_X = V_Y
% 0.97/1.04 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.97/1.04
% 0.97/1.04 %------------------------------------------------------------------------------
% 0.97/1.04 %-------------------------------------------
% 0.97/1.04 % Proof found
% 0.97/1.04 % SZS status Theorem for theBenchmark
% 0.97/1.04 % SZS output start Proof
% 0.97/1.04 %ClaNum:929(EqnAxiom:236)
% 0.97/1.04 %VarNum:5970(SingletonVarNum:2161)
% 0.97/1.04 %MaxLitNum:7
% 0.97/1.04 %MaxfuncDepth:6
% 0.97/1.04 %SharedTerms:56
% 0.97/1.04 %goalClause: 389
% 0.97/1.04 %singleGoalClaCount:1
% 0.97/1.04 [237]P1(a1)
% 0.97/1.04 [238]P1(a60)
% 0.97/1.04 [239]P2(a1)
% 0.97/1.04 [240]P2(a60)
% 0.97/1.04 [241]P16(a1)
% 0.97/1.04 [242]P16(a60)
% 0.97/1.04 [243]P17(a1)
% 0.97/1.04 [244]P17(a60)
% 0.97/1.04 [245]P18(a1)
% 0.97/1.04 [246]P18(a60)
% 0.97/1.04 [247]P19(a1)
% 0.97/1.04 [248]P19(a60)
% 0.97/1.04 [249]P3(a1)
% 0.97/1.04 [250]P3(a60)
% 0.97/1.04 [251]P14(a1)
% 0.97/1.04 [252]P20(a1)
% 0.97/1.04 [253]P20(a60)
% 0.97/1.04 [254]P25(a60)
% 0.97/1.04 [255]P4(a1)
% 0.97/1.04 [256]P15(a1)
% 0.97/1.04 [257]P5(a62)
% 0.97/1.04 [258]P6(a62)
% 0.97/1.04 [389]~P26(f56(f56(f57(f61(f63(a58,a58),a1)),f56(a62,a65)),a6))
% 0.97/1.04 [380]P26(f56(f56(f57(f61(f61(a59,f61(f63(a58,a58),a1)),f61(f63(a58,a58),a1))),a62),f33(a20,f4(a6,f61(f61(f63(a58,a58),a1),a1),f61(a59,f61(f63(a58,a58),a1))),f61(a59,f61(f63(a58,a58),a1)),f61(f63(a58,a58),a1))))
% 0.97/1.04 [315]P26(f56(f56(f57(f61(f63(a58,a58),a1)),a64),a6))
% 0.97/1.04 [336]P26(f56(f56(f57(f61(a59,f61(f63(a58,a58),a1))),a65),a20))
% 0.97/1.04 [261]P7(x2611,x2611,f61(x2612,a1))
% 0.97/1.04 [383]~P13(x3831,x3831,f61(x3832,a1))
% 0.97/1.04 [259]E(f3(f2(x2591,x2592),f61(x2592,a1)),x2591)
% 0.97/1.04 [262]E(f26(x2621,x2621,f61(x2622,a1)),x2621)
% 0.97/1.04 [263]E(f27(x2631,x2631,f61(x2632,a1)),x2631)
% 0.97/1.04 [264]E(f28(x2641,x2641,f61(x2642,a1)),f41(f61(x2642,a1)))
% 0.97/1.04 [267]P7(f41(f61(x2671,a1)),x2672,f61(x2671,a1))
% 0.97/1.04 [268]E(f26(x2681,f41(f61(x2682,a1)),f61(x2682,a1)),x2681)
% 0.97/1.04 [269]E(f28(x2691,f41(f61(x2692,a1)),f61(x2692,a1)),x2691)
% 0.97/1.04 [270]E(f26(f41(f61(x2701,a1)),x2702,f61(x2701,a1)),x2702)
% 0.97/1.04 [273]E(f27(x2731,f41(f61(x2732,a1)),f61(x2732,a1)),f41(f61(x2732,a1)))
% 0.97/1.04 [274]E(f27(f41(f61(x2741,a1)),x2742,f61(x2741,a1)),f41(f61(x2741,a1)))
% 0.97/1.04 [275]E(f28(f41(f61(x2751,a1)),x2752,f61(x2751,a1)),f41(f61(x2751,a1)))
% 0.97/1.04 [285]E(f27(x2851,f56(f39(f61(x2852,a1)),x2851),f61(x2852,a1)),f41(f61(x2852,a1)))
% 0.97/1.04 [286]E(f27(f56(f39(f61(x2861,a1)),x2862),x2862,f61(x2861,a1)),f41(f61(x2861,a1)))
% 0.97/1.04 [299]P26(f56(f56(f57(f61(x2991,a1)),x2992),f2(x2992,x2991)))
% 0.97/1.04 [310]P26(f56(f56(f57(f61(x3101,a1)),f41(f61(x3101,a1))),f2(x3102,x3101)))
% 0.97/1.04 [330]E(f26(f56(f5(f54(x3301),x3301,x3301,a1),x3302),f41(f61(x3301,a1)),f61(x3301,a1)),f56(f54(x3301),x3302))
% 0.97/1.04 [384]~P13(x3841,f41(f61(x3842,a1)),f61(x3842,a1))
% 0.97/1.04 [265]P26(f56(f56(f54(x2651),x2652),x2652))
% 0.97/1.04 [314]E(f56(f5(f57(x3141),x3141,f61(x3141,a1),a1),x3142),x3142)
% 0.97/1.04 [334]E(f19(a42,x3341,a1,a1,x3342),f56(f39(f61(x3342,a1)),x3341))
% 0.97/1.04 [385]~P26(f56(f41(f61(x3851,a1)),x3852))
% 0.97/1.04 [388]~P26(f56(f56(f57(x3881),x3882),f41(f61(x3881,a1))))
% 0.97/1.04 [278]E(f56(f39(f61(x2781,a1)),f56(f39(f61(x2781,a1)),x2782)),x2782)
% 0.97/1.04 [343]E(f19(a42,f56(f5(f57(x3431),x3431,f61(x3431,a1),a1),x3432),a1,a1,x3431),f56(f39(f61(x3431,a1)),x3432))
% 0.97/1.04 [271]E(f26(x2711,x2712,f61(x2713,a1)),f26(x2712,x2711,f61(x2713,a1)))
% 0.97/1.04 [272]E(f27(x2721,x2722,f61(x2723,a1)),f27(x2722,x2721,f61(x2723,a1)))
% 0.97/1.04 [276]E(f44(f44(x2761,x2762,x2763),x2763,x2762),x2761)
% 0.97/1.04 [280]P7(x2801,f26(x2802,x2801,f61(x2803,a1)),f61(x2803,a1))
% 0.97/1.04 [281]P7(x2811,f26(x2811,x2812,f61(x2813,a1)),f61(x2813,a1))
% 0.97/1.04 [282]P7(f27(x2821,x2822,f61(x2823,a1)),x2822,f61(x2823,a1))
% 0.97/1.04 [283]P7(f27(x2831,x2832,f61(x2833,a1)),x2831,f61(x2833,a1))
% 0.97/1.04 [284]P7(f28(x2841,x2842,f61(x2843,a1)),x2841,f61(x2843,a1))
% 0.97/1.04 [287]E(f27(x2871,f28(x2872,x2871,f61(x2873,a1)),f61(x2873,a1)),f41(f61(x2873,a1)))
% 0.97/1.04 [288]E(f27(x2881,f56(f39(f61(x2882,a1)),x2883),f61(x2882,a1)),f28(x2881,x2883,f61(x2882,a1)))
% 0.97/1.04 [289]E(f28(x2891,f56(f39(f61(x2892,a1)),x2893),f61(x2892,a1)),f27(x2891,x2893,f61(x2892,a1)))
% 0.97/1.04 [290]P8(x2901,f41(f61(x2902,a1)),x2902,x2903)
% 0.97/1.04 [291]E(f26(x2911,f26(x2911,x2912,f61(x2913,a1)),f61(x2913,a1)),f26(x2911,x2912,f61(x2913,a1)))
% 0.97/1.04 [292]E(f26(x2921,f28(x2922,x2921,f61(x2923,a1)),f61(x2923,a1)),f26(x2921,x2922,f61(x2923,a1)))
% 0.97/1.04 [293]E(f27(x2931,f27(x2931,x2932,f61(x2933,a1)),f61(x2933,a1)),f27(x2931,x2932,f61(x2933,a1)))
% 0.97/1.04 [294]E(f26(f28(x2941,x2942,f61(x2943,a1)),x2942,f61(x2943,a1)),f26(x2941,x2942,f61(x2943,a1)))
% 0.97/1.04 [295]E(f28(f28(x2951,x2952,f61(x2953,a1)),x2952,f61(x2953,a1)),f28(x2951,x2952,f61(x2953,a1)))
% 0.97/1.04 [301]E(f26(f28(x3011,x3012,f61(x3013,a1)),f27(x3011,x3012,f61(x3013,a1)),f61(x3013,a1)),x3011)
% 0.97/1.04 [309]E(f29(f41(f61(x3091,a1)),f4(x3092,f61(x3093,a1),x3091),x3091,f61(x3093,a1)),f41(f61(x3093,a1)))
% 0.97/1.04 [311]E(f29(x3111,f4(f41(f61(x3112,a1)),f61(x3112,a1),x3113),x3113,f61(x3112,a1)),f41(f61(x3112,a1)))
% 0.97/1.04 [355]E(f26(f26(f56(f5(f54(x3551),x3551,x3551,a1),x3552),f41(f61(x3551,a1)),f61(x3551,a1)),x3553,f61(x3551,a1)),f26(f56(f5(f54(x3551),x3551,x3551,a1),x3552),x3553,f61(x3551,a1)))
% 0.97/1.04 [378]E(f26(f56(f5(f54(x3781),x3781,x3781,a1),x3782),f28(x3783,f26(f56(f5(f54(x3781),x3781,x3781,a1),x3782),f41(f61(x3781,a1)),f61(x3781,a1)),f61(x3781,a1)),f61(x3781,a1)),f26(f56(f5(f54(x3781),x3781,x3781,a1),x3782),x3783,f61(x3781,a1)))
% 0.97/1.04 [391]~E(f26(f56(f5(f54(x3911),x3911,x3911,a1),x3912),x3913,f61(x3911,a1)),f41(f61(x3911,a1)))
% 0.97/1.04 [392]~P26(f56(f56(f57(f63(a58,a58)),f46(x3921,x3922,a58,a58)),f21(x3923,x3922)))
% 0.97/1.04 [393]~P26(f56(f56(f57(f63(a58,a58)),f46(x3931,x3932,a58,a58)),f24(x3933,x3931)))
% 0.97/1.04 [297]E(f55(x2971,f41(f61(x2972,a1)),x2972,x2973),f41(f61(x2973,a1)))
% 0.97/1.04 [298]E(f45(x2981,f41(f61(x2982,a1)),x2982,x2983),f41(f61(x2983,a1)))
% 0.97/1.04 [302]E(f26(f56(f39(f61(x3021,a1)),x3022),x3023,f61(x3021,a1)),f56(f39(f61(x3021,a1)),f28(x3022,x3023,f61(x3021,a1))))
% 0.97/1.04 [312]E(f27(f56(f39(f61(x3121,a1)),x3122),f56(f39(f61(x3121,a1)),x3123),f61(x3121,a1)),f56(f39(f61(x3121,a1)),f26(x3122,x3123,f61(x3121,a1))))
% 0.97/1.05 [313]E(f26(f56(f39(f61(x3131,a1)),x3132),f56(f39(f61(x3131,a1)),x3133),f61(x3131,a1)),f56(f39(f61(x3131,a1)),f27(x3132,x3133,f61(x3131,a1))))
% 0.97/1.05 [335]E(f19(f41(f61(x3351,a1)),x3352,x3351,a1,x3353),f41(f61(x3353,a1)))
% 0.97/1.05 [361]P26(f56(f26(f56(f5(f54(x3611),x3611,x3611,a1),x3612),x3613,f61(x3611,a1)),x3612))
% 0.97/1.05 [364]P26(f56(f56(f57(x3641),x3642),f26(f56(f5(f54(x3641),x3641,x3641,a1),x3642),x3643,f61(x3641,a1))))
% 0.97/1.05 [266]E(f56(f4(x2661,x2662,x2663),x2664),x2661)
% 0.97/1.05 [304]E(f26(x3041,f26(x3042,x3043,f61(x3044,a1)),f61(x3044,a1)),f26(x3042,f26(x3041,x3043,f61(x3044,a1)),f61(x3044,a1)))
% 0.97/1.05 [305]E(f27(x3051,f27(x3052,x3053,f61(x3054,a1)),f61(x3054,a1)),f27(x3052,f27(x3051,x3053,f61(x3054,a1)),f61(x3054,a1)))
% 0.97/1.05 [306]E(f26(f26(x3061,x3062,f61(x3063,a1)),x3064,f61(x3063,a1)),f26(x3061,f26(x3062,x3064,f61(x3063,a1)),f61(x3063,a1)))
% 0.97/1.05 [307]E(f27(f27(x3071,x3072,f61(x3073,a1)),x3074,f61(x3073,a1)),f27(x3071,f27(x3072,x3074,f61(x3073,a1)),f61(x3073,a1)))
% 0.97/1.05 [308]E(f28(f27(x3081,x3082,f61(x3083,a1)),x3084,f61(x3083,a1)),f27(x3081,f28(x3082,x3084,f61(x3083,a1)),f61(x3083,a1)))
% 0.97/1.05 [316]E(f27(f26(x3161,x3162,f61(x3163,a1)),f26(x3161,x3164,f61(x3163,a1)),f61(x3163,a1)),f26(x3161,f27(x3162,x3164,f61(x3163,a1)),f61(x3163,a1)))
% 0.97/1.05 [317]E(f26(f27(x3171,x3172,f61(x3173,a1)),f27(x3171,x3174,f61(x3173,a1)),f61(x3173,a1)),f27(x3171,f26(x3172,x3174,f61(x3173,a1)),f61(x3173,a1)))
% 0.97/1.05 [318]E(f28(f27(x3181,x3182,f61(x3183,a1)),f27(x3181,x3184,f61(x3183,a1)),f61(x3183,a1)),f27(x3181,f28(x3182,x3184,f61(x3183,a1)),f61(x3183,a1)))
% 0.97/1.05 [319]E(f27(f28(x3191,x3192,f61(x3193,a1)),f28(x3191,x3194,f61(x3193,a1)),f61(x3193,a1)),f28(x3191,f26(x3192,x3194,f61(x3193,a1)),f61(x3193,a1)))
% 0.97/1.05 [320]E(f26(f28(x3201,x3202,f61(x3203,a1)),f28(x3201,x3204,f61(x3203,a1)),f61(x3203,a1)),f28(x3201,f27(x3202,x3204,f61(x3203,a1)),f61(x3203,a1)))
% 0.97/1.05 [321]E(f27(f26(x3211,x3212,f61(x3213,a1)),f26(x3214,x3212,f61(x3213,a1)),f61(x3213,a1)),f26(f27(x3211,x3214,f61(x3213,a1)),x3212,f61(x3213,a1)))
% 0.97/1.05 [322]E(f26(f27(x3221,x3222,f61(x3223,a1)),f27(x3224,x3222,f61(x3223,a1)),f61(x3223,a1)),f27(f26(x3221,x3224,f61(x3223,a1)),x3222,f61(x3223,a1)))
% 0.97/1.05 [323]E(f28(f27(x3231,x3232,f61(x3233,a1)),f27(x3234,x3232,f61(x3233,a1)),f61(x3233,a1)),f27(f28(x3231,x3234,f61(x3233,a1)),x3232,f61(x3233,a1)))
% 0.97/1.05 [324]E(f26(f28(x3241,x3242,f61(x3243,a1)),f28(x3244,x3242,f61(x3243,a1)),f61(x3243,a1)),f28(f26(x3241,x3244,f61(x3243,a1)),x3242,f61(x3243,a1)))
% 0.97/1.05 [325]E(f28(f27(x3251,x3252,f61(x3253,a1)),f27(x3254,x3252,f61(x3253,a1)),f61(x3253,a1)),f28(f27(x3251,x3252,f61(x3253,a1)),x3254,f61(x3253,a1)))
% 0.97/1.05 [326]E(f26(x3261,f29(f41(f61(x3262,a1)),x3263,x3262,f61(x3264,a1)),f61(x3264,a1)),x3261)
% 0.97/1.05 [327]E(f28(x3271,f29(f41(f61(x3272,a1)),x3273,x3272,f61(x3274,a1)),f61(x3274,a1)),x3271)
% 0.97/1.05 [328]E(f26(f29(f41(f61(x3281,a1)),x3282,x3281,f61(x3283,a1)),x3284,f61(x3283,a1)),x3284)
% 0.97/1.05 [333]E(f30(x3331,x3332,f56(x3331,x3332),x3333,x3334),x3331)
% 0.97/1.05 [341]E(f27(f27(f26(x3411,x3412,f61(x3413,a1)),f26(x3412,x3414,f61(x3413,a1)),f61(x3413,a1)),f26(x3414,x3411,f61(x3413,a1)),f61(x3413,a1)),f26(f26(f27(x3411,x3412,f61(x3413,a1)),f27(x3412,x3414,f61(x3413,a1)),f61(x3413,a1)),f27(x3414,x3411,f61(x3413,a1)),f61(x3413,a1)))
% 0.97/1.05 [347]E(f26(f56(f5(f54(x3471),x3471,x3471,a1),x3472),f29(f41(f61(x3473,a1)),x3474,x3473,f61(x3471,a1)),f61(x3471,a1)),f26(f56(f5(f54(x3471),x3471,x3471,a1),x3472),f41(f61(x3471,a1)),f61(x3471,a1)))
% 0.97/1.05 [367]E(f28(f28(x3671,x3672,f61(x3673,a1)),f26(f56(f5(f54(x3673),x3673,x3673,a1),x3674),f41(f61(x3673,a1)),f61(x3673,a1)),f61(x3673,a1)),f28(x3671,f26(f56(f5(f54(x3673),x3673,x3673,a1),x3674),x3672,f61(x3673,a1)),f61(x3673,a1)))
% 0.97/1.05 [368]P7(f55(x3681,f19(x3682,x3681,x3683,a1,x3684),x3684,x3683),x3682,f61(x3683,a1))
% 0.97/1.05 [370]P9(x3701,x3702,f41(f61(x3703,a1)),x3702,x3703,x3704)
% 0.97/1.05 [371]P12(x3711,x3712,f41(f61(x3713,a1)),x3712,x3713,x3714)
% 0.97/1.05 [379]E(f28(f28(x3791,f26(f56(f5(f54(x3792),x3792,x3792,a1),x3793),f41(f61(x3792,a1)),f61(x3792,a1)),f61(x3792,a1)),x3794,f61(x3792,a1)),f28(x3791,f26(f56(f5(f54(x3792),x3792,x3792,a1),x3793),x3794,f61(x3792,a1)),f61(x3792,a1)))
% 0.97/1.05 [377]E(f56(f5(f19(f57(x3771),x3772,x3771,f61(f61(x3771,a1),a1),x3773),x3773,f61(x3771,a1),a1),x3774),f19(x3774,x3772,x3771,a1,x3773))
% 0.97/1.05 [358]E(f19(f56(f39(f61(x3581,a1)),x3582),x3583,x3581,a1,x3584),f56(f39(f61(x3584,a1)),f19(x3582,x3583,x3581,a1,x3584)))
% 0.97/1.05 [382]P26(f56(f56(f57(x3821),x3822),f19(f26(f56(f5(f54(x3823),x3823,x3823,a1),f56(x3824,x3822)),f41(f61(x3823,a1)),f61(x3823,a1)),x3824,x3823,a1,x3821)))
% 0.97/1.05 [339]E(f26(f29(x3391,x3392,x3393,f61(x3394,a1)),f29(x3395,x3392,x3393,f61(x3394,a1)),f61(x3394,a1)),f29(f26(x3391,x3395,f61(x3393,a1)),x3392,x3393,f61(x3394,a1)))
% 0.97/1.05 [345]E(f56(f30(x3451,x3452,x3453,x3454,x3455),x3452),x3453)
% 0.97/1.05 [351]E(f29(f26(f56(f5(f54(x3511),x3511,x3511,a1),x3512),x3513,f61(x3511,a1)),x3514,x3511,f61(x3515,a1)),f26(f56(x3514,x3512),f29(x3513,x3514,x3511,f61(x3515,a1)),f61(x3515,a1)))
% 0.97/1.05 [337]E(f26(f55(x3371,x3372,x3373,x3374),f55(x3371,x3375,x3373,x3374),f61(x3374,a1)),f55(x3371,f26(x3372,x3375,f61(x3373,a1)),x3373,x3374))
% 0.97/1.05 [338]E(f26(f45(x3381,x3382,x3383,x3384),f45(x3381,x3385,x3383,x3384),f61(x3384,a1)),f45(x3381,f26(x3382,x3385,f61(x3383,a1)),x3383,x3384))
% 0.97/1.05 [348]P7(f55(x3481,f27(x3482,x3483,f61(x3484,a1)),x3484,x3485),f27(f55(x3481,x3482,x3484,x3485),f55(x3481,x3483,x3484,x3485),f61(x3485,a1)),f61(x3485,a1))
% 0.97/1.05 [349]P7(f45(x3491,f27(x3492,x3493,f61(x3494,a1)),x3494,x3495),f27(f45(x3491,x3492,x3494,x3495),f45(x3491,x3493,x3494,x3495),f61(x3495,a1)),f61(x3495,a1))
% 0.97/1.05 [350]P7(f28(f55(x3501,x3502,x3503,x3504),f55(x3501,x3505,x3503,x3504),f61(x3504,a1)),f55(x3501,f28(x3502,x3505,f61(x3503,a1)),x3503,x3504),f61(x3504,a1))
% 0.97/1.05 [359]E(f55(x3591,f26(f56(f5(f54(x3592),x3592,x3592,a1),x3593),x3594,f61(x3592,a1)),x3592,x3595),f26(f56(f5(f54(x3595),x3595,x3595,a1),f56(x3591,x3593)),f55(x3591,x3594,x3592,x3595),f61(x3595,a1)))
% 0.97/1.05 [372]E(f26(f19(x3721,x3722,x3723,a1,x3724),f19(x3725,x3722,x3723,a1,x3724),f61(x3724,a1)),f19(f26(x3721,x3725,f61(x3723,a1)),x3722,x3723,a1,x3724))
% 0.97/1.05 [373]E(f27(f19(x3731,x3732,x3733,a1,x3734),f19(x3735,x3732,x3733,a1,x3734),f61(x3734,a1)),f19(f27(x3731,x3735,f61(x3733,a1)),x3732,x3733,a1,x3734))
% 0.97/1.05 [374]E(f28(f19(x3741,x3742,x3743,a1,x3744),f19(x3745,x3742,x3743,a1,x3744),f61(x3744,a1)),f19(f28(x3741,x3745,f61(x3743,a1)),x3742,x3743,a1,x3744))
% 0.97/1.05 [381]E(f26(f19(f26(f56(f5(f54(x3811),x3811,x3811,a1),x3812),f41(f61(x3811,a1)),f61(x3811,a1)),x3813,x3811,a1,x3814),f19(x3815,x3813,x3811,a1,x3814),f61(x3814,a1)),f19(f26(f56(f5(f54(x3811),x3811,x3811,a1),x3812),x3815,f61(x3811,a1)),x3813,x3811,a1,x3814))
% 0.97/1.05 [346]E(f56(f19(x3461,x3462,x3463,x3464,x3465),x3466),f56(x3461,f56(x3462,x3466)))
% 0.97/1.05 [352]E(f55(x3521,f55(x3522,x3523,x3524,x3525),x3525,x3526),f55(f19(x3521,x3522,x3525,x3526,x3524),x3523,x3524,x3526))
% 0.97/1.05 [353]E(f29(f55(x3531,x3532,x3533,x3534),x3535,x3534,f61(x3536,a1)),f29(x3532,f19(x3535,x3531,x3534,f61(x3536,a1),x3533),x3533,f61(x3536,a1)))
% 0.97/1.05 [354]E(f29(x3541,f19(x3542,x3543,x3544,f61(x3545,a1),x3546),x3546,f61(x3545,a1)),f29(f55(x3543,x3541,x3546,x3544),x3542,x3544,f61(x3545,a1)))
% 0.97/1.05 [366]E(f30(f30(x3661,x3662,x3663,x3664,x3665),x3662,x3666,x3664,x3665),f30(x3661,x3662,x3666,x3664,x3665))
% 0.97/1.05 [329]E(f56(f56(f5(x3291,x3292,x3293,x3294),x3295),x3296),f56(f56(x3291,x3296),x3295))
% 0.97/1.05 [423]~P4(x4231)+E(f3(f41(f61(x4231,a1)),x4231),f41(x4231))
% 0.97/1.05 [736]P26(f56(f56(f57(f61(f63(a58,a58),a1)),f44(x7361,a58,a58)),a6))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7361),a6))
% 0.97/1.05 [742]~P26(f56(f56(f57(f61(f63(a58,a58),a1)),f44(x7421,a58,a58)),a6))+P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7421),a6))
% 0.97/1.05 [407]~P18(x4072)+P7(x4071,x4071,x4072)
% 0.97/1.05 [408]~P19(x4082)+P7(x4081,x4081,x4082)
% 0.97/1.05 [426]~P13(x4262,x4262,x4261)+~P18(x4261)
% 0.97/1.05 [427]~P13(x4272,x4272,x4271)+~P19(x4271)
% 0.97/1.05 [428]~P13(x4282,x4282,x4281)+~P25(x4281)
% 0.97/1.05 [396]~P17(x3962)+P1(f61(x3961,x3962))
% 0.97/1.05 [397]~P2(x3972)+P2(f61(x3971,x3972))
% 0.97/1.05 [398]~P17(x3982)+P16(f61(x3981,x3982))
% 0.97/1.05 [399]~P17(x3992)+P17(f61(x3991,x3992))
% 0.97/1.05 [400]~P18(x4002)+P18(f61(x4001,x4002))
% 0.97/1.05 [401]~P19(x4012)+P19(f61(x4011,x4012))
% 0.97/1.05 [402]~P3(x4022)+P3(f61(x4021,x4022))
% 0.97/1.05 [403]~P14(x4032)+P14(f61(x4031,x4032))
% 0.97/1.05 [404]~P20(x4042)+P20(f61(x4041,x4042))
% 0.97/1.05 [405]~P4(x4052)+P4(f61(x4051,x4052))
% 0.97/1.05 [406]~P15(x4062)+P15(f61(x4061,x4062))
% 0.97/1.05 [409]~P1(x4092)+E(f26(x4091,x4091,x4092),x4091)
% 0.97/1.05 [410]~P16(x4102)+E(f27(x4101,x4101,x4102),x4101)
% 0.97/1.05 [416]~P20(x4161)+P7(f41(x4161),x4162,x4161)
% 0.97/1.05 [417]~P14(x4172)+E(f26(x4171,f41(x4172),x4172),x4171)
% 0.97/1.05 [418]~P14(x4181)+E(f26(f41(x4181),x4182,x4181),x4182)
% 0.97/1.05 [419]~P14(x4192)+E(f27(x4191,f41(x4192),x4192),f41(x4192))
% 0.97/1.05 [420]~P14(x4201)+E(f27(f41(x4201),x4202,x4201),f41(x4201))
% 0.97/1.05 [515]~P7(x5151,f41(f61(x5152,a1)),f61(x5152,a1))+E(x5151,f41(f61(x5152,a1)))
% 0.97/1.05 [745]E(x7451,x7452)+P26(f56(f56(f57(f63(a58,a58)),f46(x7451,x7452,a58,a58)),f66(x7451,x7452)))
% 0.97/1.05 [413]~P15(x4131)+E(f56(f39(x4131),f56(f39(x4131),x4132)),x4132)
% 0.97/1.05 [415]~P21(x4151)+E(f56(f39(x4151),f56(f39(x4151),x4152)),x4152)
% 0.97/1.05 [429]~P15(x4292)+E(f27(x4291,f56(f39(x4292),x4291),x4292),f41(x4292))
% 0.97/1.05 [430]~P15(x4301)+E(f27(f56(f39(x4301),x4302),x4302,x4301),f41(x4301))
% 0.97/1.05 [587]~P7(x5871,f56(f39(f61(x5872,a1)),x5871),f61(x5872,a1))+E(x5871,f41(f61(x5872,a1)))
% 0.97/1.05 [656]E(x6561,x6562)+P26(f56(f56(f57(f61(f63(a58,a58),a1)),f66(x6561,x6562)),a6))
% 0.97/1.05 [751]~P4(x7511)+E(f3(f26(f56(f5(f54(x7511),x7511,x7511,a1),x7512),f41(f61(x7511,a1)),f61(x7511,a1)),x7511),x7512)
% 0.97/1.05 [752]~P4(x7521)+E(f25(f26(f56(f5(f54(x7521),x7521,x7521,a1),x7522),f41(f61(x7521,a1)),f61(x7521,a1)),x7521),x7522)
% 0.97/1.05 [725]P26(f56(f56(f57(f61(f63(a58,a58),a1)),f21(x7251,x7252)),a6))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7251),a6))
% 0.97/1.05 [726]P26(f56(f56(f57(f61(f63(a58,a58),a1)),f24(x7261,x7262)),a6))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7261),a6))
% 0.97/1.05 [433]~P1(x4333)+E(f26(x4331,x4332,x4333),f26(x4332,x4331,x4333))
% 0.97/1.05 [434]~P17(x4343)+E(f26(x4341,x4342,x4343),f26(x4342,x4341,x4343))
% 0.97/1.05 [435]~P16(x4353)+E(f27(x4351,x4352,x4353),f27(x4352,x4351,x4353))
% 0.97/1.05 [436]~P17(x4363)+E(f27(x4361,x4362,x4363),f27(x4362,x4361,x4363))
% 0.97/1.05 [466]~P1(x4663)+P7(x4661,f26(x4662,x4661,x4663),x4663)
% 0.97/1.05 [467]~P17(x4673)+P7(x4671,f26(x4672,x4671,x4673),x4673)
% 0.97/1.05 [468]~P1(x4683)+P7(x4681,f26(x4681,x4682,x4683),x4683)
% 0.97/1.05 [469]~P17(x4693)+P7(x4691,f26(x4691,x4692,x4693),x4693)
% 0.97/1.05 [470]~P16(x4703)+P7(f27(x4701,x4702,x4703),x4702,x4703)
% 0.97/1.05 [471]~P17(x4713)+P7(f27(x4711,x4712,x4713),x4712,x4713)
% 0.97/1.05 [472]~P16(x4723)+P7(f27(x4721,x4722,x4723),x4721,x4723)
% 0.97/1.05 [473]~P17(x4733)+P7(f27(x4731,x4732,x4733),x4731,x4733)
% 0.97/1.05 [495]~P13(x4951,x4952,f61(x4953,a1))+P7(x4951,x4952,f61(x4953,a1))
% 0.97/1.05 [424]~P26(f56(x4241,x4243))+~E(x4241,f41(f61(x4242,a1)))
% 0.97/1.05 [425]~P26(f56(x4252,x4253))+~E(f41(f61(x4251,a1)),x4252)
% 0.97/1.05 [474]~P17(x4743)+E(f26(x4741,f27(x4741,x4742,x4743),x4743),x4741)
% 0.97/1.05 [475]~P17(x4753)+E(f27(x4751,f26(x4751,x4752,x4753),x4753),x4751)
% 0.97/1.05 [490]~P22(x4901)+E(f56(f39(x4901),f28(x4902,x4903,x4901)),f28(x4903,x4902,x4901))
% 0.97/1.05 [491]E(x4911,f41(f61(x4912,a1)))+~E(f26(x4913,x4911,f61(x4912,a1)),f41(f61(x4912,a1)))
% 0.97/1.05 [492]E(x4921,f41(f61(x4922,a1)))+~E(f26(x4921,x4923,f61(x4922,a1)),f41(f61(x4922,a1)))
% 0.97/1.05 [498]~P7(x4981,x4982,f61(x4983,a1))+E(f26(x4981,x4982,f61(x4983,a1)),x4982)
% 0.97/1.05 [499]~P7(x4992,x4991,f61(x4993,a1))+E(f26(x4991,x4992,f61(x4993,a1)),x4991)
% 0.97/1.05 [500]~P7(x5002,x5001,f61(x5003,a1))+E(f27(x5001,x5002,f61(x5003,a1)),x5002)
% 0.97/1.05 [501]~P7(x5011,x5012,f61(x5013,a1))+E(f27(x5011,x5012,f61(x5013,a1)),x5011)
% 0.97/1.05 [502]P7(x5021,x5022,f61(x5023,a1))+~E(f26(x5021,x5022,f61(x5023,a1)),x5022)
% 0.97/1.05 [508]~P1(x5083)+E(f26(x5081,f26(x5081,x5082,x5083),x5083),f26(x5081,x5082,x5083))
% 0.97/1.05 [509]~P17(x5093)+E(f26(x5091,f26(x5091,x5092,x5093),x5093),f26(x5091,x5092,x5093))
% 0.97/1.05 [510]~P16(x5103)+E(f27(x5101,f27(x5101,x5102,x5103),x5103),f27(x5101,x5102,x5103))
% 0.97/1.05 [511]~P17(x5113)+E(f27(x5111,f27(x5111,x5112,x5113),x5113),f27(x5111,x5112,x5113))
% 0.97/1.05 [514]~P10(x5141,x5142,x5143)+E(f3(f31(x5141,x5142,x5143),f61(x5143,a1)),x5141)
% 0.97/1.05 [525]E(f28(x5251,x5252,f61(x5253,a1)),x5251)+~E(f27(x5251,x5252,f61(x5253,a1)),f41(f61(x5253,a1)))
% 0.97/1.05 [586]~P7(x5861,x5862,f61(x5863,a1))+E(f26(x5861,f28(x5862,x5861,f61(x5863,a1)),f61(x5863,a1)),x5862)
% 0.97/1.05 [621]~P7(x6212,x6213,f61(x6211,a1))+P26(f56(f56(f57(f61(x6211,a1)),x6212),f2(x6213,x6211)))
% 0.97/1.05 [629]~E(f27(f8(x6293,x6291,x6292),x6293,f61(x6292,a1)),f41(f61(x6292,a1)))+E(f27(f3(x6291,f61(x6292,a1)),x6293,f61(x6292,a1)),f41(f61(x6292,a1)))
% 0.97/1.05 [645]P7(x6451,x6452,f61(x6453,a1))+~P26(f56(f56(f57(f61(x6453,a1)),x6451),f2(x6452,x6453)))
% 0.97/1.05 [743]E(x7431,x7432)+P26(f56(f56(f57(f63(a58,a58)),f46(x7431,x7432,a58,a58)),f21(x7433,x7431)))
% 0.97/1.05 [744]E(x7441,x7442)+P26(f56(f56(f57(f63(a58,a58)),f46(x7441,x7442,a58,a58)),f24(x7443,x7442)))
% 0.97/1.05 [783]E(x7831,x7832)+~E(f26(f56(f5(f54(x7833),x7833,x7833,a1),x7831),f41(f61(x7833,a1)),f61(x7833,a1)),f26(f56(f5(f54(x7833),x7833,x7833,a1),x7832),f41(f61(x7833,a1)),f61(x7833,a1)))
% 0.97/1.05 [463]~P15(x4632)+E(f27(x4631,f56(f39(x4632),x4633),x4632),f28(x4631,x4633,x4632))
% 0.97/1.05 [465]~P26(f56(x4653,x4652))+P26(f56(f56(f57(x4651),x4652),x4653))
% 0.97/1.05 [476]E(x4761,x4762)+~P26(f56(f56(f54(x4763),x4761),x4762))
% 0.97/1.05 [494]P26(f56(x4941,x4942))+~P26(f56(f56(f57(x4943),x4942),x4941))
% 0.97/1.05 [506]E(x5061,x5062)+~E(f56(f39(f61(x5063,a1)),x5061),f56(f39(f61(x5063,a1)),x5062))
% 0.97/1.05 [547]~P24(x5471)+E(f27(f56(f39(x5471),x5472),f56(f39(x5471),x5473),x5471),f56(f39(x5471),f26(x5472,x5473,x5471)))
% 0.97/1.05 [548]~P15(x5481)+E(f27(f56(f39(x5481),x5482),f56(f39(x5481),x5483),x5481),f56(f39(x5481),f26(x5482,x5483,x5481)))
% 0.97/1.05 [549]~P24(x5491)+E(f26(f56(f39(x5491),x5492),f56(f39(x5491),x5493),x5491),f56(f39(x5491),f27(x5492,x5493,x5491)))
% 0.97/1.05 [550]~P15(x5501)+E(f26(f56(f39(x5501),x5502),f56(f39(x5501),x5503),x5501),f56(f39(x5501),f27(x5502,x5503,x5501)))
% 0.97/1.05 [589]~E(f27(x5891,x5893,f61(x5892,a1)),f41(f61(x5892,a1)))+P7(x5891,f56(f39(f61(x5892,a1)),x5893),f61(x5892,a1))
% 0.97/1.05 [599]~P7(x5991,f56(f39(f61(x5993,a1)),x5992),f61(x5993,a1))+E(f27(x5991,x5992,f61(x5993,a1)),f41(f61(x5993,a1)))
% 0.97/1.05 [614]~P7(x6143,x6142,f61(x6141,a1))+P7(f56(f39(f61(x6141,a1)),x6142),f56(f39(f61(x6141,a1)),x6143),f61(x6141,a1))
% 0.97/1.05 [644]P7(x6441,x6442,f61(x6443,a1))+~P7(f56(f39(f61(x6443,a1)),x6442),f56(f39(f61(x6443,a1)),x6441),f61(x6443,a1))
% 0.97/1.05 [657]P26(f56(f56(f57(x6571),x6572),f9(x6572,x6573,x6571)))+~P26(f56(f56(f57(x6571),x6572),f3(x6573,f61(x6571,a1))))
% 0.97/1.05 [667]~P26(f56(f56(f57(x6671),x6672),f10(x6672,x6673,x6671)))+P26(f56(f56(f57(x6671),x6672),f25(x6673,f61(x6671,a1))))
% 0.97/1.05 [688]E(f27(f3(x6881,f61(x6882,a1)),x6883,f61(x6882,a1)),f41(f61(x6882,a1)))+P26(f56(f56(f57(f61(x6882,a1)),f8(x6883,x6881,x6882)),x6881))
% 0.97/1.05 [696]P26(f56(f56(f57(f61(x6961,a1)),f10(x6962,x6963,x6961)),x6963))+P26(f56(f56(f57(x6961),x6962),f25(x6963,f61(x6961,a1))))
% 0.97/1.05 [698]~P26(f56(f56(f57(x6981),x6982),f3(x6983,f61(x6981,a1))))+P26(f56(f56(f57(f61(x6981,a1)),f9(x6982,x6983,x6981)),x6983))
% 0.97/1.05 [711]E(f26(f56(f5(f54(x7111),x7111,x7111,a1),x7112),x7113,f61(x7111,a1)),x7113)+~P26(f56(f56(f57(x7111),x7112),x7113))
% 0.97/1.05 [728]E(x7281,x7282)+~E(f56(f5(f57(x7283),x7283,f61(x7283,a1),a1),x7281),f56(f5(f57(x7283),x7283,f61(x7283,a1),a1),x7282))
% 0.97/1.05 [748]~P4(x7481)+E(f3(f26(f56(f5(f54(x7481),x7481,x7481,a1),x7482),x7483,f61(x7481,a1)),x7481),f26(x7482,f3(x7483,x7481),x7481))
% 0.97/1.05 [749]~P4(x7491)+E(f25(f26(f56(f5(f54(x7491),x7491,x7491,a1),x7492),x7493,f61(x7491,a1)),x7491),f27(x7492,f25(x7493,x7491),x7491))
% 0.97/1.05 [756]~P7(x7562,x7563,f61(x7561,a1))+P7(f56(f5(f57(x7561),x7561,f61(x7561,a1),a1),x7562),f56(f5(f57(x7561),x7561,f61(x7561,a1),a1),x7563),f61(x7561,a1))
% 0.97/1.05 [790]P7(x7901,x7902,f61(x7903,a1))+~P7(f56(f5(f57(x7903),x7903,f61(x7903,a1),a1),x7901),f56(f5(f57(x7903),x7903,f61(x7903,a1),a1),x7902),f61(x7903,a1))
% 0.97/1.05 [805]E(f28(f26(f56(f5(f54(x8051),x8051,x8051,a1),x8052),x8053,f61(x8051,a1)),f26(f56(f5(f54(x8051),x8051,x8051,a1),x8052),f41(f61(x8051,a1)),f61(x8051,a1)),f61(x8051,a1)),x8053)+P26(f56(f56(f57(x8051),x8052),x8053))
% 0.97/1.05 [829]E(f26(f56(f5(f54(x8291),x8291,x8291,a1),x8292),f28(x8293,f26(f56(f5(f54(x8291),x8291,x8291,a1),x8292),f41(f61(x8291,a1)),f61(x8291,a1)),f61(x8291,a1)),f61(x8291,a1)),x8293)+~P26(f56(f56(f57(x8291),x8292),x8293))
% 0.97/1.05 [845]~P4(x8451)+E(f3(f26(f56(f5(f54(x8451),x8451,x8451,a1),x8452),f26(f56(f5(f54(x8451),x8451,x8451,a1),x8453),f41(f61(x8451,a1)),f61(x8451,a1)),f61(x8451,a1)),x8451),f26(x8452,x8453,x8451))
% 0.97/1.05 [846]~P4(x8461)+E(f25(f26(f56(f5(f54(x8461),x8461,x8461,a1),x8462),f26(f56(f5(f54(x8461),x8461,x8461,a1),x8463),f41(f61(x8461,a1)),f61(x8461,a1)),f61(x8461,a1)),x8461),f27(x8462,x8463,x8461))
% 0.97/1.05 [856]E(x8561,x8562)+~P26(f56(f56(f57(x8563),x8561),f26(f56(f5(f54(x8563),x8563,x8563,a1),x8562),f41(f61(x8563,a1)),f61(x8563,a1))))
% 0.97/1.05 [578]~P24(x5781)+E(f56(f39(x5781),f27(f56(f39(x5781),x5782),f56(f39(x5781),x5783),x5781)),f26(x5782,x5783,x5781))
% 0.97/1.05 [579]~P24(x5791)+E(f56(f39(x5791),f26(f56(f39(x5791),x5792),f56(f39(x5791),x5793),x5791)),f27(x5792,x5793,x5791))
% 0.97/1.05 [622]P26(f56(f56(f57(x6221),x6222),x6223))+P26(f56(f56(f57(x6221),x6222),f56(f39(f61(x6221,a1)),x6223)))
% 0.97/1.05 [642]P7(x6421,f3(x6422,f61(x6423,a1)),f61(x6423,a1))+~P26(f56(f56(f57(f61(x6423,a1)),x6421),x6422))
% 0.97/1.05 [643]P7(f25(x6431,f61(x6432,a1)),x6433,f61(x6432,a1))+~P26(f56(f56(f57(f61(x6432,a1)),x6433),x6431))
% 0.97/1.05 [659]~P26(f56(f56(f57(x6591),x6592),x6593))+~P26(f56(f56(f57(x6591),x6592),f56(f39(f61(x6591,a1)),x6593)))
% 0.97/1.05 [570]~P1(x5704)+E(f26(x5701,f26(x5702,x5703,x5704),x5704),f26(x5702,f26(x5701,x5703,x5704),x5704))
% 0.97/1.05 [571]~P17(x5714)+E(f26(x5711,f26(x5712,x5713,x5714),x5714),f26(x5712,f26(x5711,x5713,x5714),x5714))
% 0.97/1.05 [572]~P16(x5724)+E(f27(x5721,f27(x5722,x5723,x5724),x5724),f27(x5722,f27(x5721,x5723,x5724),x5724))
% 0.97/1.05 [573]~P17(x5734)+E(f27(x5731,f27(x5732,x5733,x5734),x5734),f27(x5732,f27(x5731,x5733,x5734),x5734))
% 0.97/1.05 [574]~P1(x5743)+E(f26(f26(x5741,x5742,x5743),x5744,x5743),f26(x5741,f26(x5742,x5744,x5743),x5743))
% 0.97/1.05 [575]~P17(x5753)+E(f26(f26(x5751,x5752,x5753),x5754,x5753),f26(x5751,f26(x5752,x5754,x5753),x5753))
% 0.97/1.05 [576]~P16(x5763)+E(f27(f27(x5761,x5762,x5763),x5764,x5763),f27(x5761,f27(x5762,x5764,x5763),x5763))
% 0.97/1.05 [577]~P17(x5773)+E(f27(f27(x5771,x5772,x5773),x5774,x5773),f27(x5771,f27(x5772,x5774,x5773),x5773))
% 0.97/1.05 [601]~P2(x6013)+E(f27(f26(x6011,x6012,x6013),f26(x6011,x6014,x6013),x6013),f26(x6011,f27(x6012,x6014,x6013),x6013))
% 0.97/1.05 [602]~P2(x6023)+E(f26(f27(x6021,x6022,x6023),f27(x6021,x6024,x6023),x6023),f27(x6021,f26(x6022,x6024,x6023),x6023))
% 0.97/1.05 [603]~P2(x6033)+E(f27(f26(x6031,x6032,x6033),f26(x6034,x6032,x6033),x6033),f26(f27(x6031,x6034,x6033),x6032,x6033))
% 0.97/1.05 [604]~P2(x6043)+E(f26(f27(x6041,x6042,x6043),f27(x6044,x6042,x6043),x6043),f27(f26(x6041,x6044,x6043),x6042,x6043))
% 0.97/1.05 [605]P7(x6051,x6052,f61(x6053,a1))+~P7(x6051,f27(x6054,x6052,f61(x6053,a1)),f61(x6053,a1))
% 0.97/1.05 [606]P7(x6061,x6062,f61(x6063,a1))+~P7(x6061,f27(x6062,x6064,f61(x6063,a1)),f61(x6063,a1))
% 0.97/1.05 [607]P7(x6071,x6072,f61(x6073,a1))+~P7(f26(x6074,x6071,f61(x6073,a1)),x6072,f61(x6073,a1))
% 0.97/1.05 [608]P7(x6081,x6082,f61(x6083,a1))+~P7(f26(x6081,x6084,f61(x6083,a1)),x6082,f61(x6083,a1))
% 0.97/1.05 [609]~P26(f56(f56(x6093,x6092),x6094))+P26(f56(f56(f57(x6091),x6092),f47(x6093,x6094,x6091)))
% 0.97/1.05 [610]~P26(f56(f56(x6103,x6104),x6102))+P26(f56(f56(f57(x6101),x6102),f50(x6103,x6104,x6101)))
% 0.97/1.05 [611]~P26(f56(f56(x6113,x6112),x6114))+P26(f56(f56(f57(x6111),x6112),f51(x6113,x6114,x6111)))
% 0.97/1.05 [612]E(f29(x6121,f4(x6123,f61(x6124,a1),x6122),x6122,f61(x6124,a1)),x6123)+E(x6121,f41(f61(x6122,a1)))
% 0.97/1.05 [616]~E(f55(x6163,x6161,x6162,x6164),f41(f61(x6164,a1)))+E(x6161,f41(f61(x6162,a1)))
% 0.97/1.05 [635]~P7(x6353,x6351,f61(x6354,a1))+E(f27(x6351,f26(x6352,x6353,f61(x6354,a1)),f61(x6354,a1)),f26(f27(x6351,x6352,f61(x6354,a1)),x6353,f61(x6354,a1)))
% 0.97/1.05 [636]~P26(f56(f56(f57(x6364),x6363),f50(x6361,x6362,x6364)))+P26(f56(f56(x6361,x6362),x6363))
% 0.97/1.05 [637]~P26(f56(f56(f57(x6374),x6372),f47(x6371,x6373,x6374)))+P26(f56(f56(x6371,x6372),x6373))
% 0.97/1.05 [638]~P26(f56(f56(f57(x6384),x6382),f51(x6381,x6383,x6384)))+P26(f56(f56(x6381,x6382),x6383))
% 0.97/1.05 [640]~P7(f28(x6401,x6402,f61(x6404,a1)),x6403,f61(x6404,a1))+P7(x6401,f26(x6402,x6403,f61(x6404,a1)),f61(x6404,a1))
% 0.97/1.05 [641]~P7(x6411,f26(x6412,x6414,f61(x6413,a1)),f61(x6413,a1))+P7(f28(x6411,x6412,f61(x6413,a1)),x6414,f61(x6413,a1))
% 0.97/1.05 [680]P7(x6801,x6802,f61(x6803,a1))+~E(f27(x6802,f26(x6804,x6801,f61(x6803,a1)),f61(x6803,a1)),f26(f27(x6802,x6804,f61(x6803,a1)),x6801,f61(x6803,a1)))
% 0.97/1.05 [689]~P17(x6894)+P7(f26(x6891,f27(x6892,x6893,x6894),x6894),f27(f26(x6891,x6892,x6894),f26(x6891,x6893,x6894),x6894),x6894)
% 0.97/1.05 [690]~P17(x6903)+P7(f26(f27(x6901,x6902,x6903),f27(x6901,x6904,x6903),x6903),f27(x6901,f26(x6902,x6904,x6903),x6903),x6903)
% 0.97/1.05 [722]E(f55(f4(x7223,x7224,x7222),x7221,x7222,x7224),f26(f56(f5(f54(x7224),x7224,x7224,a1),x7223),f41(f61(x7224,a1)),f61(x7224,a1)))+E(x7221,f41(f61(x7222,a1)))
% 0.97/1.05 [753]~P7(x7531,x7534,f61(x7532,a1))+P7(x7531,f26(f56(f5(f54(x7532),x7532,x7532,a1),x7533),x7534,f61(x7532,a1)),f61(x7532,a1))
% 0.97/1.05 [802]~P7(x8023,x8024,f61(x8021,a1))+P7(f26(f56(f5(f54(x8021),x8021,x8021,a1),x8022),x8023,f61(x8021,a1)),f26(f56(f5(f54(x8021),x8021,x8021,a1),x8022),x8024,f61(x8021,a1)),f61(x8021,a1))
% 0.97/1.05 [591]~P26(f56(x5912,x5914))+P26(f56(f26(x5911,x5912,f61(x5913,a1)),x5914))
% 0.97/1.05 [592]~P26(f56(x5921,x5924))+P26(f56(f26(x5921,x5922,f61(x5923,a1)),x5924))
% 0.97/1.05 [630]P26(f56(x6301,x6302))+~P26(f56(f27(x6303,x6301,f61(x6304,a1)),x6302))
% 0.97/1.05 [631]P26(f56(x6311,x6312))+~P26(f56(f27(x6311,x6313,f61(x6314,a1)),x6312))
% 0.97/1.05 [632]~P26(f56(f56(f57(x6321),x6322),x6324))+P26(f56(f56(f57(x6321),x6322),f26(x6323,x6324,f61(x6321,a1))))
% 0.97/1.05 [633]~P26(f56(f56(f57(x6331),x6332),x6333))+P26(f56(f56(f57(x6331),x6332),f26(x6333,x6334,f61(x6331,a1))))
% 0.97/1.05 [653]P26(f56(x6531,x6532))+~P26(f56(f56(f57(x6533),x6532),f27(x6534,x6531,f61(x6533,a1))))
% 0.97/1.05 [668]P26(f56(f56(f57(x6681),x6682),x6683))+~P26(f56(f56(f57(x6681),x6682),f27(x6684,x6683,f61(x6681,a1))))
% 0.97/1.05 [670]P26(f56(f56(f57(x6701),x6702),x6703))+~P26(f56(f56(f57(x6701),x6702),f27(x6703,x6704,f61(x6701,a1))))
% 0.97/1.05 [671]P26(f56(f56(f57(x6711),x6712),x6713))+~P26(f56(f56(f57(x6711),x6712),f28(x6713,x6714,f61(x6711,a1))))
% 0.97/1.05 [682]~P26(f56(f56(f57(x6821),x6822),x6823))+~P26(f56(f56(f57(x6821),x6822),f28(x6824,x6823,f61(x6821,a1))))
% 0.97/1.05 [721]E(f19(x7211,f4(x7212,x7213,x7214),x7213,a1,x7214),f41(f61(x7214,a1)))+P26(f56(f56(f57(x7213),x7212),x7211))
% 0.97/1.05 [759]E(f27(x7591,f26(f56(f5(f54(x7592),x7592,x7592,a1),x7593),x7594,f61(x7592,a1)),f61(x7592,a1)),f27(x7591,x7594,f61(x7592,a1)))+P26(f56(f56(f57(x7592),x7593),x7591))
% 0.97/1.05 [760]E(f27(f26(f56(f5(f54(x7601),x7601,x7601,a1),x7602),x7603,f61(x7601,a1)),x7604,f61(x7601,a1)),f27(x7603,x7604,f61(x7601,a1)))+P26(f56(f56(f57(x7601),x7602),x7604))
% 0.97/1.05 [763]E(f28(f26(f56(f5(f54(x7631),x7631,x7631,a1),x7632),x7633,f61(x7631,a1)),x7634,f61(x7631,a1)),f28(x7633,x7634,f61(x7631,a1)))+~P26(f56(f56(f57(x7631),x7632),x7634))
% 0.97/1.05 [770]~P26(f56(f56(f57(f61(x7701,a1)),x7703),f31(x7702,x7704,x7701)))+P26(f56(f56(f57(x7701),f43(x7702,x7703,x7704,x7701)),x7702))
% 0.97/1.05 [775]~P22(x7751)+E(f32(f19(f39(x7751),x7752,x7751,x7751,x7753),x7754,x7753,x7751),f56(f39(x7751),f32(x7752,x7754,x7753,x7751)))
% 0.97/1.05 [784]E(f28(f26(f56(f5(f54(x7841),x7841,x7841,a1),x7842),x7843,f61(x7841,a1)),x7844,f61(x7841,a1)),f26(f56(f5(f54(x7841),x7841,x7841,a1),x7842),f28(x7843,x7844,f61(x7841,a1)),f61(x7841,a1)))+P26(f56(f56(f57(x7841),x7842),x7844))
% 0.97/1.05 [787]~P7(f26(f56(f5(f54(x7871),x7871,x7871,a1),x7872),x7874,f61(x7871,a1)),x7873,f61(x7871,a1))+P26(f56(f56(f57(x7871),x7872),x7873))
% 0.97/1.05 [788]E(f27(x7881,f26(f56(f5(f54(x7882),x7882,x7882,a1),x7883),x7884,f61(x7882,a1)),f61(x7882,a1)),f26(f56(f5(f54(x7882),x7882,x7882,a1),x7883),f27(x7881,x7884,f61(x7882,a1)),f61(x7882,a1)))+~P26(f56(f56(f57(x7882),x7883),x7881))
% 0.97/1.05 [789]E(f27(f26(f56(f5(f54(x7891),x7891,x7891,a1),x7892),x7893,f61(x7891,a1)),x7894,f61(x7891,a1)),f26(f56(f5(f54(x7891),x7891,x7891,a1),x7892),f27(x7893,x7894,f61(x7891,a1)),f61(x7891,a1)))+~P26(f56(f56(f57(x7891),x7892),x7894))
% 0.97/1.05 [819]E(f45(x8191,f26(f56(f5(f54(x8192),x8192,x8192,a1),f43(x8193,x8194,x8191,x8192)),f41(f61(x8192,a1)),f61(x8192,a1)),x8192,x8192),x8194)+~P26(f56(f56(f57(f61(x8192,a1)),x8194),f31(x8193,x8191,x8192)))
% 0.97/1.05 [821]E(f32(x8211,f28(x8212,f26(f56(f5(f54(x8213),x8213,x8213,a1),x8214),f41(f61(x8213,a1)),f61(x8213,a1)),f61(x8213,a1)),x8213,a60),f32(x8211,x8212,x8213,a60))+P26(f56(f56(f57(x8213),x8214),x8212))
% 0.97/1.05 [909]P26(f56(f56(f57(f61(x9091,a1)),f45(x9092,f26(f56(f5(f54(x9091),x9091,x9091,a1),x9093),f41(f61(x9091,a1)),f61(x9091,a1)),x9091,x9091)),f31(x9094,x9092,x9091)))+~P26(f56(f56(f57(x9091),x9093),x9094))
% 0.97/1.05 [704]~P7(x7042,x7045,f61(x7043,a1))+P7(f55(x7041,x7042,x7043,x7044),f55(x7041,x7045,x7043,x7044),f61(x7044,a1))
% 0.97/1.05 [735]~E(f30(x7351,x7352,x7353,x7354,x7355),x7351)+E(f56(x7351,x7352),x7353)
% 0.97/1.05 [812]~P7(x8121,x8125,f61(x8123,a1))+P7(f19(x8121,x8122,x8123,a1,x8124),f19(x8125,x8122,x8123,a1,x8124),f61(x8124,a1))
% 0.97/1.05 [679]~P8(x6791,x6792,x6794,x6795)+P8(x6791,f28(x6792,x6793,f61(x6794,a1)),x6794,x6795)
% 0.97/1.05 [686]P8(x6861,x6862,x6863,x6864)+~P8(x6861,f26(x6865,x6862,f61(x6863,a1)),x6863,x6864)
% 0.97/1.05 [687]P8(x6871,x6872,x6873,x6874)+~P8(x6871,f26(x6872,x6875,f61(x6873,a1)),x6873,x6874)
% 0.97/1.05 [730]~P26(f56(f56(f57(x7304),x7303),f48(x7301,x7302,x7305,x7304)))+P26(f56(f56(x7301,x7302),x7303))
% 0.97/1.05 [731]~P26(f56(f56(f57(x7314),x7313),f52(x7311,x7312,x7315,x7314)))+P26(f56(f56(x7311,x7312),x7313))
% 0.97/1.05 [732]~P26(f56(f56(f57(x7324),x7322),f48(x7321,x7325,x7323,x7324)))+P26(f56(f56(x7321,x7322),x7323))
% 0.97/1.05 [733]~P26(f56(f56(f57(x7334),x7332),f52(x7331,x7335,x7333,x7334)))+P26(f56(f56(x7331,x7332),x7333))
% 0.97/1.05 [750]~P8(x7501,f26(x7502,x7503,f61(x7504,a1)),x7504,x7505)+E(f27(f55(x7501,f28(x7502,x7503,f61(x7504,a1)),x7504,x7505),f55(x7501,f28(x7503,x7502,f61(x7504,a1)),x7504,x7505),f61(x7505,a1)),f41(f61(x7505,a1)))
% 0.97/1.05 [811]~P26(f56(x8111,f56(x8112,x8115)))+P26(f56(f19(x8111,x8112,x8113,a1,x8114),x8115))
% 0.97/1.05 [857]P26(f56(x8571,f56(x8572,x8573)))+~P26(f56(f19(x8571,x8572,x8574,a1,x8575),x8573))
% 0.97/1.05 [873]E(x8731,x8732)+~P9(x8733,x8732,f41(f61(x8734,a1)),x8731,x8734,x8735)
% 0.97/1.05 [681]P7(f56(x6811,x6812),f29(x6813,x6811,x6814,f61(x6815,a1)),f61(x6815,a1))+~P26(f56(f56(f57(x6814),x6812),x6813))
% 0.97/1.05 [697]E(f26(f56(x6971,x6972),f29(x6973,x6971,x6974,f61(x6975,a1)),f61(x6975,a1)),f29(x6973,x6971,x6974,f61(x6975,a1)))+~P26(f56(f56(f57(x6974),x6972),x6973))
% 0.97/1.05 [717]P26(f56(f56(f57(x7171),f56(x7172,x7173)),f55(x7172,x7174,x7175,x7171)))+~P26(f56(f56(f57(x7175),x7173),x7174))
% 0.97/1.05 [727]E(f55(f4(x7271,x7272,x7273),x7274,x7273,x7272),f26(f56(f5(f54(x7272),x7272,x7272,a1),x7271),f41(f61(x7272,a1)),f61(x7272,a1)))+~P26(f56(f56(f57(x7273),x7275),x7274))
% 0.97/1.05 [739]E(f26(f56(f5(f54(x7391),x7391,x7391,a1),f56(x7392,x7393)),f55(x7392,x7394,x7395,x7391),f61(x7391,a1)),f55(x7392,x7394,x7395,x7391))+~P26(f56(f56(f57(x7395),x7393),x7394))
% 0.97/1.05 [817]P26(f56(f56(f57(x8171),x8172),f19(x8173,x8174,x8175,a1,x8171)))+~P26(f56(f56(f57(x8175),f56(x8174,x8172)),x8173))
% 0.97/1.05 [831]P26(f56(f56(f57(f63(x8311,x8312)),f46(x8313,x8314,x8311,x8312)),f44(x8315,x8312,x8311)))+~P26(f56(f56(f57(f63(x8312,x8311)),f46(x8314,x8313,x8312,x8311)),x8315))
% 0.97/1.05 [832]~P26(f56(f56(f57(f63(x8322,x8321)),f46(x8324,x8323,x8322,x8321)),f44(x8325,x8321,x8322)))+P26(f56(f56(f57(f63(x8321,x8322)),f46(x8323,x8324,x8321,x8322)),x8325))
% 0.97/1.05 [865]~P26(f56(f56(f57(x8655),x8653),f19(x8654,x8652,x8651,a1,x8655)))+P26(f56(f56(f57(x8651),f56(x8652,x8653)),x8654))
% 0.97/1.05 [896]P26(f56(f56(f57(f61(x8961,x8965)),x8964),f33(x8962,x8963,x8961,x8965)))+P26(f56(f56(f57(x8961),f36(x8962,x8963,x8964,x8961,x8965)),x8962))
% 0.97/1.05 [897]P26(f56(f56(f57(f61(x8971,x8975)),x8974),f33(x8972,x8973,x8971,x8975)))+P26(f56(f56(f57(x8971),f37(x8972,x8973,x8974,x8971,x8975)),x8972))
% 0.97/1.05 [916]P26(f56(f56(f57(f61(x9161,x9162)),x9163),f33(x9164,x9165,x9161,x9162)))+~P26(f56(f56(f57(x9162),f56(x9163,f36(x9164,x9165,x9163,x9161,x9162))),f56(x9165,f36(x9164,x9165,x9163,x9161,x9162))))
% 0.97/1.05 [917]P26(f56(f56(f57(f61(x9171,x9172)),x9173),f33(x9174,x9175,x9171,x9172)))+~P26(f56(f56(f57(x9172),f56(x9173,f37(x9174,x9175,x9173,x9171,x9172))),f56(x9175,f37(x9174,x9175,x9173,x9171,x9172))))
% 0.97/1.05 [782]P7(f55(x7821,x7822,x7823,x7824),x7825,f61(x7824,a1))+~P26(f56(f56(f57(f61(x7823,x7824)),x7821),f33(x7822,f4(x7825,f61(x7824,a1),x7823),x7823,x7824)))
% 0.97/1.05 [900]P26(f56(f56(f57(x9001),f38(x9002,x9003,x9004,x9001,x9005)),x9002))+P26(f56(f56(f57(f61(x9001,x9005)),x9004),f33(x9002,f4(x9003,f61(x9005,a1),x9001),x9001,x9005)))
% 0.97/1.05 [903]~P26(f56(f56(f57(f63(x9034,x9031)),f46(x9035,x9032,x9034,x9031)),x9033))+P26(f56(f56(f57(x9031),x9032),f45(x9033,f26(f56(f5(f54(x9034),x9034,x9034,a1),x9035),f41(f61(x9034,a1)),f61(x9034,a1)),x9034,x9031)))
% 0.97/1.05 [907]P26(f56(f56(f57(f63(x9071,x9072)),f46(x9073,x9074,x9071,x9072)),x9075))+~P26(f56(f56(f57(x9072),x9074),f45(x9075,f26(f56(f5(f54(x9071),x9071,x9071,a1),x9073),f41(f61(x9071,a1)),f61(x9071,a1)),x9071,x9072)))
% 0.97/1.05 [910]E(f56(x9101,x9102),x9103)+~P26(f56(f56(f57(x9104),x9102),f19(f26(f56(f5(f54(x9105),x9105,x9105,a1),x9103),f41(f61(x9105,a1)),f61(x9105,a1)),x9101,x9105,a1,x9104)))
% 0.97/1.05 [914]~P26(f56(f56(f57(x9142),f56(x9143,f38(x9144,x9145,x9143,x9141,x9142))),x9145))+P26(f56(f56(f57(f61(x9141,x9142)),x9143),f33(x9144,f4(x9145,f61(x9142,a1),x9141),x9141,x9142)))
% 0.97/1.05 [915]~P8(x9151,f26(f56(f5(f54(x9152),x9152,x9152,a1),x9153),x9154,f61(x9152,a1)),x9152,x9155)+~P26(f56(f56(f57(x9155),f56(x9151,x9153)),f55(x9151,f28(x9154,f26(f56(f5(f54(x9152),x9152,x9152,a1),x9153),f41(f61(x9152,a1)),f61(x9152,a1)),f61(x9152,a1)),x9152,x9155)))
% 0.97/1.05 [772]~P7(f45(x7723,x7721,x7722,x7724),x7725,f61(x7724,a1))+P7(x7721,f56(f39(f61(x7722,a1)),f45(f44(x7723,x7722,x7724),f56(f39(f61(x7724,a1)),x7725),x7724,x7722)),f61(x7722,a1))
% 0.97/1.05 [798]P7(f45(x7981,x7982,x7983,x7984),x7985,f61(x7984,a1))+~P7(x7982,f56(f39(f61(x7983,a1)),f45(f44(x7981,x7983,x7984),f56(f39(f61(x7984,a1)),x7985),x7984,x7983)),f61(x7983,a1))
% 0.97/1.05 [677]E(x6771,x6772)+~E(f46(x6773,x6771,x6774,x6775),f46(x6776,x6772,x6774,x6775))
% 0.97/1.05 [678]E(x6781,x6782)+~E(f46(x6781,x6783,x6784,x6785),f46(x6782,x6786,x6784,x6785))
% 0.97/1.05 [755]E(x7551,x7552)+E(f56(f30(x7553,x7551,x7554,x7555,x7556),x7552),f56(x7553,x7552))
% 0.97/1.05 [858]~P26(f56(f56(f57(x8584),x8583),f49(x8581,x8585,x8582,x8586,x8584)))+P26(f56(f56(x8581,x8582),x8583))
% 0.97/1.05 [859]~P26(f56(f56(f57(x8594),x8593),f53(x8595,x8591,x8592,x8596,x8594)))+P26(f56(f56(x8591,x8592),x8593))
% 0.97/1.05 [860]~P26(f56(f56(f57(x8604),x8602),f49(x8605,x8601,x8606,x8603,x8604)))+P26(f56(f56(x8601,x8602),x8603))
% 0.97/1.05 [861]~P26(f56(f56(f57(x8614),x8612),f53(x8611,x8615,x8616,x8613,x8614)))+P26(f56(f56(x8611,x8612),x8613))
% 0.97/1.05 [771]E(f55(f30(x7711,x7712,x7713,x7714,x7715),x7716,x7714,x7715),f55(x7711,x7716,x7714,x7715))+P26(f56(f56(f57(x7714),x7712),x7716))
% 0.97/1.05 [904]E(f26(f56(f5(f54(x9041),x9041,x9041,a1),x9042),f55(x9043,f28(x9044,f26(f56(f5(f54(x9045),x9045,x9045,a1),x9046),f41(f61(x9045,a1)),f61(x9045,a1)),f61(x9045,a1)),x9045,x9041),f61(x9041,a1)),f55(f30(x9043,x9046,x9042,x9045,x9041),x9044,x9045,x9041))+~P26(f56(f56(f57(x9045),x9046),x9044))
% 0.97/1.05 [854]E(x8541,x8542)+E(f30(f30(x8543,x8541,x8544,x8545,x8546),x8542,x8547,x8545,x8546),f30(f30(x8543,x8542,x8547,x8545,x8546),x8541,x8544,x8545,x8546))
% 0.97/1.05 [929]~P11(x9292,x9291,x9293,x9295,x9297,x9296,x9299,x9298,x9294)+P11(x9291,x9292,f5(x9293,x9294,x9294,a1),f5(x9295,x9294,x9294,a1),x9296,x9297,x9298,x9299,x9294)
% 0.97/1.05 [919]~P11(x9194,x9191,x9195,x9196,x9197,x9198,x9193,x9199,x9192)+E(f56(x9191,f41(f61(x9192,a1))),x9193)
% 0.97/1.05 [920]~P11(x9201,x9204,x9205,x9206,x9207,x9208,x9209,x9203,x9202)+E(f56(x9201,f41(f61(x9202,a1))),x9203)
% 0.97/1.05 [925]~P11(x9254,x9251,x9255,x9256,x9257,x9258,x9259,x92510,x9252)+E(f56(x9251,f26(f56(f5(f54(x9252),x9252,x9252,a1),x9253),f41(f61(x9252,a1)),f61(x9252,a1))),x9253)
% 0.97/1.05 [926]~P11(x9261,x9264,x9265,x9266,x9267,x9268,x9269,x92610,x9262)+E(f56(x9261,f26(f56(f5(f54(x9262),x9262,x9262,a1),x9263),f41(f61(x9262,a1)),f61(x9262,a1))),x9263)
% 0.97/1.05 [923]~P11(x9236,x9231,x9237,x9238,x9239,x9235,x92310,x92311,x9232)+E(f56(x9231,f26(f56(f5(f54(x9232),x9232,x9232,a1),x9233),x9234,f61(x9232,a1))),f56(f56(x9235,x9233),f56(x9231,x9234)))
% 0.97/1.05 [924]~P11(x9241,x9246,x9247,x9248,x9245,x9249,x92410,x92411,x9242)+E(f56(x9241,f26(f56(f5(f54(x9242),x9242,x9242,a1),x9243),x9244,f61(x9242,a1))),f56(f56(x9245,x9243),f56(x9241,x9244)))
% 0.97/1.05 [927]~P11(x9276,x9271,x9277,x9278,x9279,x9275,x92710,x92711,x9272)+E(f56(x9271,f26(f56(f5(f54(x9272),x9272,x9272,a1),x9273),f26(f56(f5(f54(x9272),x9272,x9272,a1),x9274),f41(f61(x9272,a1)),f61(x9272,a1)),f61(x9272,a1))),f56(f56(x9275,x9273),x9274))
% 0.97/1.05 [928]~P11(x9281,x9286,x9287,x9288,x9285,x9289,x92810,x92811,x9282)+E(f56(x9281,f26(f56(f5(f54(x9282),x9282,x9282,a1),x9283),f26(f56(f5(f54(x9282),x9282,x9282,a1),x9284),f41(f61(x9282,a1)),f61(x9282,a1)),f61(x9282,a1))),f56(f56(x9285,x9283),x9284))
% 0.97/1.05 [437]P7(x4372,x4371,x4373)+~P25(x4373)+P7(x4371,x4372,x4373)
% 0.97/1.05 [440]P13(x4402,x4401,x4403)+~P25(x4403)+P7(x4401,x4402,x4403)
% 0.97/1.05 [447]~P18(x4473)+~P13(x4471,x4472,x4473)+P7(x4471,x4472,x4473)
% 0.97/1.05 [448]~P19(x4483)+~P13(x4481,x4482,x4483)+P7(x4481,x4482,x4483)
% 0.97/1.05 [477]~P13(x4773,x4772,x4771)+~P18(x4771)+~P7(x4772,x4773,x4771)
% 0.97/1.05 [479]~P13(x4793,x4792,x4791)+~P18(x4791)+~P13(x4792,x4793,x4791)
% 0.97/1.05 [480]~P13(x4803,x4802,x4801)+~P19(x4801)+~P13(x4802,x4803,x4801)
% 0.97/1.05 [482]~P13(x4823,x4822,x4821)+~P25(x4821)+~P7(x4822,x4823,x4821)
% 0.97/1.05 [484]~P13(x4843,x4842,x4841)+~P25(x4841)+~P13(x4842,x4843,x4841)
% 0.97/1.05 [431]~P14(x4312)+~E(f26(x4313,x4311,x4312),f41(x4312))+E(x4311,f41(x4312))
% 0.97/1.05 [432]~P14(x4322)+~E(f26(x4321,x4323,x4322),f41(x4322))+E(x4321,f41(x4322))
% 0.97/1.05 [449]~P1(x4493)+~P7(x4491,x4492,x4493)+E(f26(x4491,x4492,x4493),x4492)
% 0.97/1.05 [450]~P1(x4503)+~P7(x4502,x4501,x4503)+E(f26(x4501,x4502,x4503),x4501)
% 0.97/1.05 [451]~P16(x4513)+~P7(x4512,x4511,x4513)+E(f27(x4511,x4512,x4513),x4512)
% 0.97/1.05 [452]~P16(x4523)+~P7(x4521,x4522,x4523)+E(f27(x4521,x4522,x4523),x4521)
% 0.97/1.05 [453]~P1(x4533)+P7(x4531,x4532,x4533)+~E(f26(x4531,x4532,x4533),x4532)
% 0.97/1.05 [454]~P16(x4543)+P7(x4541,x4542,x4543)+~E(f27(x4541,x4542,x4543),x4541)
% 0.97/1.05 [504]E(x5041,x5042)+~P7(x5041,x5042,f61(x5043,a1))+P13(x5041,x5042,f61(x5043,a1))
% 0.97/1.05 [535]E(x5351,x5352)+~P7(x5351,x5352,f61(x5353,a1))+~P7(x5352,x5351,f61(x5353,a1))
% 0.97/1.05 [421]~P15(x4213)+E(x4211,x4212)+~E(f56(f39(x4213),x4211),f56(f39(x4213),x4212))
% 0.97/1.05 [422]~P21(x4223)+E(x4221,x4222)+~E(f56(f39(x4223),x4221),f56(f39(x4223),x4222))
% 0.97/1.05 [512]~P23(x5121)+~P7(x5123,x5122,x5121)+P7(f56(f39(x5121),x5122),f56(f39(x5121),x5123),x5121)
% 0.97/1.05 [513]~P23(x5131)+~P13(x5133,x5132,x5131)+P13(f56(f39(x5131),x5132),f56(f39(x5131),x5133),x5131)
% 0.97/1.05 [527]~P23(x5272)+~P7(x5273,f56(f39(x5272),x5271),x5272)+P7(x5271,f56(f39(x5272),x5273),x5272)
% 0.97/1.05 [529]~P23(x5292)+~P13(x5293,f56(f39(x5292),x5291),x5292)+P13(x5291,f56(f39(x5292),x5293),x5292)
% 0.97/1.05 [531]~P23(x5311)+~P7(f56(f39(x5311),x5313),x5312,x5311)+P7(f56(f39(x5311),x5312),x5313,x5311)
% 0.97/1.05 [533]~P23(x5331)+~P13(f56(f39(x5331),x5333),x5332,x5331)+P13(f56(f39(x5331),x5332),x5333,x5331)
% 0.97/1.05 [551]~P23(x5513)+P7(x5511,x5512,x5513)+~P7(f56(f39(x5513),x5512),f56(f39(x5513),x5511),x5513)
% 0.97/1.05 [552]~P23(x5523)+P13(x5521,x5522,x5523)+~P13(f56(f39(x5523),x5522),f56(f39(x5523),x5521),x5523)
% 0.97/1.05 [810]~P7(x8101,f26(f56(f5(f54(x8102),x8102,x8102,a1),x8103),f41(f61(x8102,a1)),f61(x8102,a1)),f61(x8102,a1))+E(x8101,f26(f56(f5(f54(x8102),x8102,x8102,a1),x8103),f41(f61(x8102,a1)),f61(x8102,a1)))+E(x8101,f41(f61(x8102,a1)))
% 0.97/1.05 [544]~P4(x5443)+P7(x5441,f3(x5442,x5443),x5443)+~P26(f56(f56(f57(x5443),x5441),x5442))
% 0.97/1.05 [545]~P4(x5452)+P7(f25(x5451,x5452),x5453,x5452)+~P26(f56(f56(f57(x5452),x5453),x5451))
% 0.97/1.05 [737]E(x7371,x7372)+P26(f56(f56(f57(f61(f63(a58,a58),a1)),f22(x7373,x7371,x7372)),a6))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7373),a6))
% 0.97/1.05 [738]E(x7381,x7382)+P26(f56(f56(f57(f61(f63(a58,a58),a1)),f23(x7383,x7381,x7382)),a6))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7383),a6))
% 0.97/1.05 [776]E(x7761,x7762)+P26(f56(f56(f57(f63(a58,a58)),f46(x7762,x7761,a58,a58)),f23(x7763,x7762,x7761)))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7763),a6))
% 0.97/1.05 [777]E(x7771,x7772)+P26(f56(f56(f57(f63(a58,a58)),f46(x7771,x7772,a58,a58)),f22(x7773,x7771,x7772)))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x7773),a6))
% 0.97/1.05 [862]~P26(f56(f56(f57(f63(a58,a58)),f46(x8623,x8622,a58,a58)),x8621))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8622,x8623,a58,a58)),x8621))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8621),a6))
% 0.97/1.05 [485]~P22(x4854)+E(x4851,x4852)+~E(f28(x4853,x4853,x4854),f28(x4851,x4852,x4854))
% 0.97/1.05 [486]~P22(x4863)+E(x4861,x4862)+~E(f28(x4861,x4862,x4863),f28(x4864,x4864,x4863))
% 0.97/1.05 [497]~P7(x4973,x4971,f61(x4974,a1))+P26(f56(x4971,x4972))+~P26(f56(x4973,x4972))
% 0.97/1.05 [507]~P3(x5074)+P7(x5071,x5072,f61(x5073,x5074))+~P13(x5071,x5072,f61(x5073,x5074))
% 0.97/1.05 [536]~P1(x5364)+~P7(x5361,x5363,x5364)+P7(x5361,f26(x5362,x5363,x5364),x5364)
% 0.97/1.05 [537]~P1(x5374)+~P7(x5371,x5372,x5374)+P7(x5371,f26(x5372,x5373,x5374),x5374)
% 0.97/1.05 [538]~P1(x5384)+~P13(x5381,x5383,x5384)+P13(x5381,f26(x5382,x5383,x5384),x5384)
% 0.97/1.05 [539]~P1(x5394)+~P13(x5391,x5392,x5394)+P13(x5391,f26(x5392,x5393,x5394),x5394)
% 0.97/1.05 [540]~P16(x5403)+~P7(x5402,x5404,x5403)+P7(f27(x5401,x5402,x5403),x5404,x5403)
% 0.97/1.05 [541]~P16(x5413)+~P7(x5411,x5414,x5413)+P7(f27(x5411,x5412,x5413),x5414,x5413)
% 0.97/1.05 [542]~P16(x5423)+~P13(x5422,x5424,x5423)+P13(f27(x5421,x5422,x5423),x5424,x5423)
% 0.97/1.05 [543]~P16(x5433)+~P13(x5431,x5434,x5433)+P13(f27(x5431,x5432,x5433),x5434,x5433)
% 0.97/1.05 [546]~P3(x5461)+~P7(x5462,x5463,f61(x5464,x5461))+~P13(x5463,x5462,f61(x5464,x5461))
% 0.97/1.05 [555]~P16(x5553)+P7(x5551,x5552,x5553)+~P7(x5551,f27(x5554,x5552,x5553),x5553)
% 0.97/1.05 [557]~P16(x5573)+P7(x5571,x5572,x5573)+~P7(x5571,f27(x5572,x5574,x5573),x5573)
% 0.97/1.05 [559]~P1(x5593)+P7(x5591,x5592,x5593)+~P7(f26(x5594,x5591,x5593),x5592,x5593)
% 0.97/1.05 [561]~P1(x5613)+P7(x5611,x5612,x5613)+~P7(f26(x5611,x5614,x5613),x5612,x5613)
% 0.97/1.05 [566]~P7(x5661,x5664,f61(x5663,a1))+~P7(x5664,x5662,f61(x5663,a1))+P7(x5661,x5662,f61(x5663,a1))
% 0.97/1.05 [567]~P13(x5671,x5674,f61(x5673,a1))+~P7(x5674,x5672,f61(x5673,a1))+P13(x5671,x5672,f61(x5673,a1))
% 0.97/1.05 [568]~P13(x5684,x5682,f61(x5683,a1))+~P7(x5681,x5684,f61(x5683,a1))+P13(x5681,x5682,f61(x5683,a1))
% 0.97/1.05 [569]~P13(x5691,x5694,f61(x5693,a1))+~P13(x5694,x5692,f61(x5693,a1))+P13(x5691,x5692,f61(x5693,a1))
% 0.97/1.05 [593]~P4(x5934)+E(f29(x5931,f4(x5933,x5934,x5932),x5932,x5934),x5933)+E(x5931,f41(f61(x5932,a1)))
% 0.97/1.05 [624]~P7(x6241,x6242,f61(x6244,a1))+~P7(x6241,x6243,f61(x6244,a1))+P7(x6241,f27(x6242,x6243,f61(x6244,a1)),f61(x6244,a1))
% 0.97/1.05 [626]~P7(x6261,x6264,f61(x6263,a1))+~P7(x6262,x6264,f61(x6263,a1))+P7(f26(x6261,x6262,f61(x6263,a1)),x6264,f61(x6263,a1))
% 0.97/1.05 [627]~P7(x6271,x6272,f61(x6274,a1))+~P7(x6273,x6271,f61(x6274,a1))+E(f28(x6271,f28(x6272,x6273,f61(x6274,a1)),f61(x6274,a1)),x6273)
% 0.97/1.05 [597]~P7(x5974,x5973,f61(x5971,a1))+~P26(f56(f56(f57(x5971),x5972),x5974))+P26(f56(f56(f57(x5971),x5972),x5973))
% 0.97/1.05 [598]~P13(x5984,x5983,f61(x5981,a1))+~P26(f56(f56(f57(x5981),x5982),x5984))+P26(f56(f56(f57(x5981),x5982),x5983))
% 0.97/1.05 [600]~P26(f56(x6002,x6004))+~P26(f56(x6001,x6004))+P26(f56(f27(x6001,x6002,f61(x6003,a1)),x6004))
% 0.97/1.05 [617]~P26(f56(x6171,x6174))+P26(f56(x6171,f7(x6172,x6171,x6173)))+~P26(f56(f56(f57(x6173),x6174),x6172))
% 0.97/1.05 [618]~P26(f56(x6181,x6184))+P26(f56(x6181,f15(x6182,x6181,x6183)))+~P26(f56(f56(f57(x6183),x6184),x6182))
% 0.97/1.05 [619]~P26(f56(x6191,x6194))+P26(f56(x6191,f16(x6192,x6191,x6193)))+~P26(f56(f56(f57(x6193),x6194),x6192))
% 0.97/1.05 [620]~P26(f56(x6201,x6204))+P26(f56(x6201,f17(x6202,x6201,x6203)))+~P26(f56(f56(f57(x6203),x6204),x6202))
% 0.97/1.05 [628]~E(f27(x6281,x6282,f61(x6283,a1)),f41(f61(x6283,a1)))+~P26(f56(f56(f57(x6283),x6284),x6281))+~P26(f56(f56(f57(x6283),x6284),x6282))
% 0.97/1.05 [634]P26(f56(x6341,x6342))+~P26(f56(x6341,f11(x6343,x6341,x6344)))+~P26(f56(f56(f57(x6344),x6342),x6343))
% 0.97/1.05 [639]P26(f56(x6391,x6392))+P26(f56(x6393,x6392))+~P26(f56(f26(x6391,x6393,f61(x6394,a1)),x6392))
% 0.97/1.05 [649]~P26(f56(x6494,x6492))+~P26(f56(f56(f57(x6491),x6492),x6493))+P26(f56(f56(f57(x6491),x6492),f27(x6493,x6494,f61(x6491,a1))))
% 0.97/1.05 [655]~P26(f56(f56(f57(x6551),x6552),x6554))+P26(f56(f56(f57(x6551),x6552),x6553))+P26(f56(f56(f57(x6551),x6552),f28(x6554,x6553,f61(x6551,a1))))
% 0.97/1.05 [658]P26(f56(x6581,x6582))+P26(f56(f56(f57(x6583),f11(x6584,x6581,x6583)),x6584))+~P26(f56(f56(f57(x6583),x6582),x6584))
% 0.97/1.05 [661]~P26(f56(f56(f57(x6611),x6612),x6614))+~P26(f56(f56(f57(x6611),x6612),x6613))+P26(f56(f56(f57(x6611),x6612),f27(x6613,x6614,f61(x6611,a1))))
% 0.97/1.05 [663]~P26(f56(x6633,x6634))+~P26(f56(f56(f57(x6631),x6634),x6632))+P26(f56(f56(f57(x6631),f7(x6632,x6633,x6631)),x6632))
% 0.97/1.05 [664]~P26(f56(x6643,x6644))+~P26(f56(f56(f57(x6641),x6644),x6642))+P26(f56(f56(f57(x6641),f15(x6642,x6643,x6641)),x6642))
% 0.97/1.05 [665]~P26(f56(x6653,x6654))+~P26(f56(f56(f57(x6651),x6654),x6652))+P26(f56(f56(f57(x6651),f16(x6652,x6653,x6651)),x6652))
% 0.97/1.05 [666]~P26(f56(x6663,x6664))+~P26(f56(f56(f57(x6661),x6664),x6662))+P26(f56(f56(f57(x6661),f17(x6662,x6663,x6661)),x6662))
% 0.97/1.05 [684]P26(f56(f56(f57(x6841),x6842),x6843))+P26(f56(f56(f57(x6841),x6842),x6844))+~P26(f56(f56(f57(x6841),x6842),f26(x6843,x6844,f61(x6841,a1))))
% 0.97/1.05 [764]~P13(x7641,x7644,f61(x7642,a1))+P13(x7641,f26(f56(f5(f54(x7642),x7642,x7642,a1),x7643),x7644,f61(x7642,a1)),f61(x7642,a1))+~P26(f56(f56(f57(x7642),x7643),x7644))
% 0.97/1.05 [765]~P7(x7653,x7654,f61(x7651,a1))+P7(f26(f56(f5(f54(x7651),x7651,x7651,a1),x7652),x7653,f61(x7651,a1)),x7654,f61(x7651,a1))+~P26(f56(f56(f57(x7651),x7652),x7654))
% 0.97/1.05 [792]P7(x7921,x7922,f61(x7923,a1))+~P7(x7921,f26(f56(f5(f54(x7923),x7923,x7923,a1),x7924),x7922,f61(x7923,a1)),f61(x7923,a1))+P26(f56(f56(f57(x7923),x7924),x7921))
% 0.97/1.05 [795]P13(x7951,x7952,f61(x7953,a1))+~P13(x7951,f26(f56(f5(f54(x7953),x7953,x7953,a1),x7954),x7952,f61(x7953,a1)),f61(x7953,a1))+~P26(f56(f56(f57(x7953),x7954),x7952))
% 0.97/1.05 [827]E(x8271,x8272)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8273,x8271,a58,a58)),f24(x8274,x8272)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8273,x8271,a58,a58)),x8274))
% 0.97/1.05 [828]E(x8281,x8282)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8281,x8283,a58,a58)),f21(x8284,x8282)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8281,x8283,a58,a58)),x8284))
% 0.97/1.05 [853]E(x8531,x8532)+P26(f56(x8533,x8531))+~P26(f56(f26(f56(f5(f54(x8534),x8534,x8534,a1),x8532),x8533,f61(x8534,a1)),x8531))
% 0.97/1.05 [855]E(x8551,x8552)+P26(f56(f56(f57(x8553),x8551),x8554))+~P26(f56(f56(f57(x8553),x8551),f26(f56(f5(f54(x8553),x8553,x8553,a1),x8552),x8554,f61(x8553,a1))))
% 0.97/1.05 [866]~P7(x8661,f26(f56(f5(f54(x8662),x8662,x8662,a1),x8663),x8664,f61(x8662,a1)),f61(x8662,a1))+P7(f28(x8661,f26(f56(f5(f54(x8662),x8662,x8662,a1),x8663),f41(f61(x8662,a1)),f61(x8662,a1)),f61(x8662,a1)),x8664,f61(x8662,a1))+~P26(f56(f56(f57(x8662),x8663),x8661))
% 0.97/1.05 [876]~P7(f28(x8761,f26(f56(f5(f54(x8762),x8762,x8762,a1),x8763),f41(f61(x8762,a1)),f61(x8762,a1)),f61(x8762,a1)),x8764,f61(x8762,a1))+P7(x8761,f26(f56(f5(f54(x8762),x8762,x8762,a1),x8763),x8764,f61(x8762,a1)),f61(x8762,a1))+~P26(f56(f56(f57(x8762),x8763),x8761))
% 0.97/1.05 [683]~E(f27(f3(x6834,f61(x6833,a1)),x6832,f61(x6833,a1)),f41(f61(x6833,a1)))+E(f27(x6831,x6832,f61(x6833,a1)),f41(f61(x6833,a1)))+~P26(f56(f56(f57(f61(x6833,a1)),x6831),x6834))
% 0.97/1.05 [685]~P26(f56(f56(f57(x6851),x6852),x6854))+P26(f56(f56(f57(x6851),x6852),f3(x6853,f61(x6851,a1))))+~P26(f56(f56(f57(f61(x6851,a1)),x6854),x6853))
% 0.97/1.05 [693]P26(f56(f56(f57(x6931),x6932),x6933))+~P26(f56(f56(f57(x6931),x6932),f25(x6934,f61(x6931,a1))))+~P26(f56(f56(f57(f61(x6931,a1)),x6933),x6934))
% 0.97/1.05 [889]~P10(x8894,x8893,x8891)+~P26(f56(f56(f57(x8891),x8892),x8894))+P26(f56(f56(f57(x8891),x8892),f45(x8893,f26(f56(f5(f54(x8891),x8891,x8891,a1),x8892),f41(f61(x8891,a1)),f61(x8891,a1)),x8891,x8891)))
% 0.97/1.05 [806]E(x8061,x8062)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8064,x8064,a58,a58)),f22(x8063,x8061,x8062)))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8063),a6))
% 0.97/1.05 [807]E(x8071,x8072)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8074,x8074,a58,a58)),f23(x8073,x8071,x8072)))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8073),a6))
% 0.97/1.05 [524]~P3(x5244)+P7(f56(x5241,x5242),f56(x5243,x5242),x5244)+~P7(x5241,x5243,f61(x5245,x5244))
% 0.97/1.05 [672]P8(x6721,x6722,x6723,x6724)+~P8(x6721,x6725,x6723,x6724)+~P7(x6722,x6725,f61(x6723,a1))
% 0.97/1.05 [646]~P7(x6461,x6464,f61(x6463,a1))+~P7(x6462,x6465,f61(x6463,a1))+P7(f26(x6461,x6462,f61(x6463,a1)),f26(x6464,x6465,f61(x6463,a1)),f61(x6463,a1))
% 0.97/1.05 [647]~P7(x6471,x6474,f61(x6473,a1))+~P7(x6472,x6475,f61(x6473,a1))+P7(f27(x6471,x6472,f61(x6473,a1)),f27(x6474,x6475,f61(x6473,a1)),f61(x6473,a1))
% 0.97/1.05 [648]~P7(x6481,x6484,f61(x6483,a1))+~P7(x6485,x6482,f61(x6483,a1))+P7(f28(x6481,x6482,f61(x6483,a1)),f28(x6484,x6485,f61(x6483,a1)),f61(x6483,a1))
% 0.97/1.05 [712]~P26(f56(f56(x7123,x7124),x7122))+~P26(f56(f56(x7123,x7122),x7125))+P26(f56(f56(f57(x7121),x7122),f48(x7123,x7124,x7125,x7121)))
% 0.97/1.05 [713]~P26(f56(f56(x7133,x7134),x7132))+~P26(f56(f56(x7133,x7132),x7135))+P26(f56(f56(f57(x7131),x7132),f52(x7133,x7134,x7135,x7131)))
% 0.97/1.05 [720]E(x7201,x7202)+~E(f55(x7203,x7201,x7204,x7205),f55(x7203,x7202,x7204,x7205))+~P8(x7203,f26(x7201,x7202,f61(x7204,a1)),x7204,x7205)
% 0.97/1.05 [890]E(x8901,x8902)+E(x8901,x8903)+~E(f26(f56(f5(f54(x8904),x8904,x8904,a1),x8905),f26(f56(f5(f54(x8904),x8904,x8904,a1),x8901),f41(f61(x8904,a1)),f61(x8904,a1)),f61(x8904,a1)),f26(f56(f5(f54(x8904),x8904,x8904,a1),x8903),f26(f56(f5(f54(x8904),x8904,x8904,a1),x8902),f41(f61(x8904,a1)),f61(x8904,a1)),f61(x8904,a1)))
% 0.97/1.05 [891]E(x8911,x8912)+E(x8913,x8912)+~E(f26(f56(f5(f54(x8914),x8914,x8914,a1),x8913),f26(f56(f5(f54(x8914),x8914,x8914,a1),x8911),f41(f61(x8914,a1)),f61(x8914,a1)),f61(x8914,a1)),f26(f56(f5(f54(x8914),x8914,x8914,a1),x8915),f26(f56(f5(f54(x8914),x8914,x8914,a1),x8912),f41(f61(x8914,a1)),f61(x8914,a1)),f61(x8914,a1)))
% 0.97/1.05 [892]E(x8921,x8922)+E(x8923,x8922)+~E(f26(f56(f5(f54(x8924),x8924,x8924,a1),x8923),f26(f56(f5(f54(x8924),x8924,x8924,a1),x8921),f41(f61(x8924,a1)),f61(x8924,a1)),f61(x8924,a1)),f26(f56(f5(f54(x8924),x8924,x8924,a1),x8922),f26(f56(f5(f54(x8924),x8924,x8924,a1),x8925),f41(f61(x8924,a1)),f61(x8924,a1)),f61(x8924,a1)))
% 0.97/1.05 [893]E(x8931,x8932)+E(x8931,x8933)+~E(f26(f56(f5(f54(x8934),x8934,x8934,a1),x8931),f26(f56(f5(f54(x8934),x8934,x8934,a1),x8935),f41(f61(x8934,a1)),f61(x8934,a1)),f61(x8934,a1)),f26(f56(f5(f54(x8934),x8934,x8934,a1),x8933),f26(f56(f5(f54(x8934),x8934,x8934,a1),x8932),f41(f61(x8934,a1)),f61(x8934,a1)),f61(x8934,a1)))
% 0.97/1.05 [652]E(f56(x6521,x6522),f41(f61(x6523,a1)))+~E(f29(x6524,x6521,x6525,f61(x6523,a1)),f41(f61(x6523,a1)))+~P26(f56(f56(f57(x6525),x6522),x6524))
% 0.97/1.05 [662]~P4(x6625)+P7(f56(x6621,x6622),f29(x6623,x6621,x6624,x6625),x6625)+~P26(f56(f56(f57(x6624),x6622),x6623))
% 0.97/1.05 [692]E(f56(x6921,x6922),f40(x6923))+~P26(f56(f56(f57(f61(x6924,x6923)),x6921),f34(x6925,x6924,x6923)))+P26(f56(f56(f57(x6924),x6922),x6925))
% 0.97/1.05 [705]~P26(f56(x7051,x7055))+P26(f56(x7051,f18(x7052,x7053,x7051,x7054)))+~P26(f56(f56(f57(x7054),x7055),x7053))
% 0.97/1.05 [706]~P26(f56(x7061,x7065))+P26(f56(x7061,f18(x7062,x7063,x7061,x7064)))+~P26(f56(f56(f57(x7064),x7065),x7062))
% 0.97/1.05 [746]P26(f56(x7461,x7462))+P26(f56(f56(f57(x7463),f13(x7464,x7465,x7461,x7463)),x7464))+~P26(f56(f56(f57(x7463),x7462),x7464))
% 0.97/1.05 [747]P26(f56(x7471,x7472))+P26(f56(f56(f57(x7473),f13(x7474,x7471,x7475,x7473)),x7474))+~P26(f56(f56(f57(x7473),x7472),x7474))
% 0.97/1.05 [766]~P26(f56(x7664,x7665))+~P26(f56(f56(f57(x7661),x7665),x7663))+P26(f56(f56(f57(x7661),f18(x7662,x7663,x7664,x7661)),f26(x7662,x7663,f61(x7661,a1))))
% 0.97/1.05 [767]~P26(f56(x7674,x7675))+~P26(f56(f56(f57(x7671),x7675),x7672))+P26(f56(f56(f57(x7671),f18(x7672,x7673,x7674,x7671)),f26(x7672,x7673,f61(x7671,a1))))
% 0.97/1.05 [793]~P10(x7933,x7934,x7931)+~P26(f56(f56(f57(f63(x7931,x7931)),f46(x7935,x7932,x7931,x7931)),x7934))+P26(f56(f56(f57(x7931),x7932),x7933))
% 0.97/1.05 [794]~P10(x7943,x7944,x7941)+~P26(f56(f56(f57(f63(x7941,x7941)),f46(x7942,x7945,x7941,x7941)),x7944))+P26(f56(f56(f57(x7941),x7942),x7943))
% 0.97/1.05 [870]~P10(x8705,x8701,x8702)+E(f45(x8701,f26(f56(f5(f54(x8702),x8702,x8702,a1),x8703),f41(f61(x8702,a1)),f61(x8702,a1)),x8702,x8702),f45(x8701,f26(f56(f5(f54(x8702),x8702,x8702,a1),x8704),f41(f61(x8702,a1)),f61(x8702,a1)),x8702,x8702))+~P26(f56(f56(f57(f63(x8702,x8702)),f46(x8703,x8704,x8702,x8702)),x8701))
% 0.97/1.05 [905]~P10(x9055,x9051,x9052)+P7(f45(x9051,f26(f56(f5(f54(x9052),x9052,x9052,a1),x9053),f41(f61(x9052,a1)),f61(x9052,a1)),x9052,x9052),f45(x9051,f26(f56(f5(f54(x9052),x9052,x9052,a1),x9054),f41(f61(x9052,a1)),f61(x9052,a1)),x9052,x9052),f61(x9052,a1))+~P26(f56(f56(f57(f63(x9052,x9052)),f46(x9053,x9054,x9052,x9052)),x9051))
% 0.97/1.05 [913]~P8(x9131,x9134,x9132,x9135)+P8(x9131,f26(f56(f5(f54(x9132),x9132,x9132,a1),x9133),x9134,f61(x9132,a1)),x9132,x9135)+P26(f56(f56(f57(x9135),f56(x9131,x9133)),f55(x9131,f28(x9134,f26(f56(f5(f54(x9132),x9132,x9132,a1),x9133),f41(f61(x9132,a1)),f61(x9132,a1)),f61(x9132,a1)),x9132,x9135)))
% 0.97/1.05 [800]~P8(x8001,x8006,x8004,x8005)+P8(f30(x8001,x8002,x8003,x8004,x8005),x8006,x8004,x8005)+P26(f56(f56(f57(x8005),x8003),f55(x8001,x8006,x8004,x8005)))
% 0.97/1.05 [813]~P26(f56(f56(x8134,x8132),x8136))+~P26(f56(f56(x8133,x8135),x8132))+P26(f56(f56(f57(x8131),x8132),f49(x8133,x8134,x8135,x8136,x8131)))
% 0.97/1.05 [814]~P26(f56(f56(x8144,x8145),x8142))+~P26(f56(f56(x8143,x8142),x8146))+P26(f56(f56(f57(x8141),x8142),f53(x8143,x8144,x8145,x8146,x8141)))
% 0.97/1.05 [707]P7(f56(x7071,x7072),x7073,f61(x7074,a1))+~P7(f29(x7076,x7071,x7075,f61(x7074,a1)),x7073,f61(x7074,a1))+~P26(f56(f56(f57(x7075),x7072),x7076))
% 0.97/1.05 [710]~P7(f55(x7102,x7106,x7105,x7101),x7104,f61(x7101,a1))+P26(f56(f56(f57(x7101),f56(x7102,x7103)),x7104))+~P26(f56(f56(f57(x7105),x7103),x7106))
% 0.97/1.05 [719]~P26(f56(f56(x7192,x7196),x7195))+~P26(f56(f56(f57(x7193),x7196),x7191))+P26(f56(f29(x7191,x7192,x7193,f61(x7194,a1)),x7195))
% 0.97/1.05 [724]~P26(f56(f56(f57(x7241),x7242),f56(x7244,x7246)))+~P26(f56(f56(f57(x7245),x7246),x7243))+P26(f56(f56(f57(x7241),x7242),f29(x7243,x7244,x7245,f61(x7241,a1))))
% 0.97/1.05 [758]~P26(f56(f56(f57(f61(x7585,x7581)),x7582),f33(x7586,x7584,x7585,x7581)))+P26(f56(f56(f57(x7581),f56(x7582,x7583)),f56(x7584,x7583)))+~P26(f56(f56(f57(x7585),x7583),x7586))
% 0.97/1.05 [809]P26(f56(f56(f57(x8091),x8092),f45(x8093,x8094,x8095,x8091)))+~P26(f56(f56(f57(f63(x8095,x8091)),f46(x8096,x8092,x8095,x8091)),x8093))+~P26(f56(f56(f57(x8095),x8096),x8094))
% 0.97/1.05 [918]~P10(x9185,x9184,x9181)+P26(f56(f56(f57(f63(x9181,x9181)),f46(x9182,x9183,x9181,x9181)),x9184))+~P26(f56(f56(f57(x9181),x9186),f27(f45(x9184,f26(f56(f5(f54(x9181),x9181,x9181,a1),x9182),f41(f61(x9181,a1)),f61(x9181,a1)),x9181,x9181),f45(x9184,f26(f56(f5(f54(x9181),x9181,x9181,a1),x9183),f41(f61(x9181,a1)),f61(x9181,a1)),x9181,x9181),f61(x9181,a1))))
% 0.97/1.05 [778]P26(f56(f56(f57(x7781),f56(x7782,x7783)),x7784))+~P26(f56(f56(f57(x7785),x7783),x7786))+~P26(f56(f56(f57(f61(x7785,x7781)),x7782),f33(x7786,f4(x7784,f61(x7781,a1),x7785),x7785,x7781)))
% 0.97/1.05 [906]~P9(x9064,x9065,x9063,x9066,x9061,x9067)+P9(x9064,x9065,f26(f56(f5(f54(x9061),x9061,x9061,a1),x9062),x9063,f61(x9061,a1)),f56(f56(x9064,x9062),x9066),x9061,x9067)+P26(f56(f56(f57(x9061),x9062),x9063))
% 0.97/1.05 [911]P9(x9111,x9112,x9113,f56(f56(x9111,x9114),x9115),x9116,x9117)+~P9(x9111,x9112,f28(x9113,f26(f56(f5(f54(x9116),x9116,x9116,a1),x9114),f41(f61(x9116,a1)),f61(x9116,a1)),f61(x9116,a1)),x9115,x9116,x9117)+~P26(f56(f56(f57(x9116),x9114),x9113))
% 0.97/1.05 [912]P12(x9121,x9122,x9123,f56(f56(x9121,x9124),x9125),x9126,x9127)+~P12(x9121,x9122,f28(x9123,f26(f56(f5(f54(x9126),x9126,x9126,a1),x9124),f41(f61(x9126,a1)),f61(x9126,a1)),f61(x9126,a1)),x9125,x9126,x9127)+~P26(f56(f56(f57(x9126),x9124),x9123))
% 0.97/1.05 [774]~P26(f56(f56(f56(x7742,x7748),x7746),x7747))+~P26(f56(f56(f57(x7743),x7748),x7741))+P26(f56(f56(f29(x7741,x7742,x7743,f61(x7744,f61(x7745,a1))),x7746),x7747))
% 0.97/1.05 [921]~P11(x9216,x9213,x9211,x9217,x9218,x9219,x92110,x92111,x9215)+P26(f56(f56(x9211,x9212),f56(x9213,x9214)))+~P26(f56(f56(f57(x9215),x9212),x9214))
% 0.97/1.05 [922]~P11(x9222,x9226,x9221,x9227,x9228,x9229,x92210,x92211,x9225)+P26(f56(f56(x9221,f56(x9222,x9223)),x9224))+~P26(f56(f56(f57(x9225),x9224),x9223))
% 0.97/1.05 [445]P13(x4451,x4452,x4453)+~P25(x4453)+E(x4451,x4452)+P13(x4452,x4451,x4453)
% 0.97/1.05 [446]P13(x4461,x4462,x4463)+~P27(x4463)+E(x4461,x4462)+P13(x4462,x4461,x4463)
% 0.97/1.05 [460]~P19(x4603)+~P7(x4601,x4602,x4603)+E(x4601,x4602)+P13(x4601,x4602,x4603)
% 0.97/1.05 [462]~P25(x4623)+~P7(x4621,x4622,x4623)+E(x4621,x4622)+P13(x4621,x4622,x4623)
% 0.97/1.05 [489]~P7(x4892,x4891,x4893)+~P7(x4891,x4892,x4893)+E(x4891,x4892)+~P19(x4893)
% 0.97/1.05 [505]P13(x5052,x5051,x5053)+~P18(x5053)+~P7(x5052,x5051,x5053)+P7(x5051,x5052,x5053)
% 0.97/1.05 [820]E(x8201,x8202)+P26(f56(f56(f57(f63(a58,a58)),f46(x8201,x8202,a58,a58)),x8203))+P26(f56(f56(f57(f63(a58,a58)),f46(x8202,x8201,a58,a58)),x8203))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8203),a6))
% 0.97/1.05 [834]E(x8341,x8342)+P26(f56(f56(f57(f63(a58,a58)),f46(x8341,x8342,a58,a58)),f23(x8343,x8341,x8342)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8341,x8342,a58,a58)),x8343))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8343),a6))
% 0.97/1.05 [516]~P18(x5163)+~P7(x5161,x5164,x5163)+P7(x5161,x5162,x5163)+~P7(x5164,x5162,x5163)
% 0.97/1.05 [517]~P19(x5173)+~P7(x5171,x5174,x5173)+P7(x5171,x5172,x5173)+~P7(x5174,x5172,x5173)
% 0.97/1.05 [518]~P18(x5183)+~P13(x5181,x5184,x5183)+P13(x5181,x5182,x5183)+~P7(x5184,x5182,x5183)
% 0.97/1.05 [519]~P18(x5193)+~P13(x5194,x5192,x5193)+P13(x5191,x5192,x5193)+~P7(x5191,x5194,x5193)
% 0.97/1.05 [520]~P18(x5203)+~P13(x5201,x5204,x5203)+P13(x5201,x5202,x5203)+~P13(x5204,x5202,x5203)
% 0.97/1.05 [521]~P19(x5213)+~P13(x5211,x5214,x5213)+P13(x5211,x5212,x5213)+~P7(x5214,x5212,x5213)
% 0.97/1.05 [522]~P19(x5223)+~P13(x5224,x5222,x5223)+P13(x5221,x5222,x5223)+~P7(x5221,x5224,x5223)
% 0.97/1.05 [523]~P19(x5233)+~P13(x5231,x5234,x5233)+P13(x5231,x5232,x5233)+~P13(x5234,x5232,x5233)
% 0.97/1.05 [553]~P3(x5534)+P7(x5531,x5532,f61(x5533,x5534))+P13(x5532,x5531,f61(x5533,x5534))+~P7(x5532,x5531,f61(x5533,x5534))
% 0.97/1.05 [582]~P16(x5824)+~P7(x5821,x5823,x5824)+~P7(x5821,x5822,x5824)+P7(x5821,f27(x5822,x5823,x5824),x5824)
% 0.97/1.05 [585]~P1(x5853)+~P7(x5852,x5854,x5853)+~P7(x5851,x5854,x5853)+P7(f26(x5851,x5852,x5853),x5854,x5853)
% 0.97/1.05 [879]~P13(x8791,x8794,f61(x8792,a1))+~P7(x8791,x8794,f61(x8792,a1))+~P13(f28(x8791,f26(f56(f5(f54(x8792),x8792,x8792,a1),x8793),f41(f61(x8792,a1)),f61(x8792,a1)),f61(x8792,a1)),x8794,f61(x8792,a1))+P13(x8791,f26(f56(f5(f54(x8792),x8792,x8792,a1),x8793),x8794,f61(x8792,a1)),f61(x8792,a1))
% 0.97/1.05 [768]~P7(x7684,x7683,f61(x7681,a1))+P13(x7684,f26(f56(f5(f54(x7681),x7681,x7681,a1),x7682),x7683,f61(x7681,a1)),f61(x7681,a1))+P26(f56(f56(f57(x7681),x7682),x7683))+P26(f56(f56(f57(x7681),x7682),x7684))
% 0.97/1.05 [769]~P13(x7693,x7694,f61(x7691,a1))+~P7(x7693,x7694,f61(x7691,a1))+P13(x7693,f26(f56(f5(f54(x7691),x7691,x7691,a1),x7692),x7694,f61(x7691,a1)),f61(x7691,a1))+P26(f56(f56(f57(x7691),x7692),x7693))
% 0.97/1.05 [786]E(x7861,x7862)+~E(f26(f56(f5(f54(x7863),x7863,x7863,a1),x7864),x7861,f61(x7863,a1)),f26(f56(f5(f54(x7863),x7863,x7863,a1),x7864),x7862,f61(x7863,a1)))+P26(f56(f56(f57(x7863),x7864),x7862))+P26(f56(f56(f57(x7863),x7864),x7861))
% 0.97/1.05 [797]P7(x7971,x7972,f61(x7973,a1))+~P13(x7971,f26(f56(f5(f54(x7973),x7973,x7973,a1),x7974),x7972,f61(x7973,a1)),f61(x7973,a1))+P26(f56(f56(f57(x7973),x7974),x7972))+P26(f56(f56(f57(x7973),x7974),x7971))
% 0.97/1.05 [823]E(x8231,x8232)+E(x8233,x8232)+P26(f56(f56(f57(f63(a58,a58)),f46(x8233,x8231,a58,a58)),f21(x8234,x8232)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8233,x8231,a58,a58)),x8234))
% 0.97/1.05 [824]E(x8241,x8242)+E(x8243,x8242)+P26(f56(f56(f57(f63(a58,a58)),f46(x8243,x8241,a58,a58)),f24(x8244,x8242)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8243,x8241,a58,a58)),x8244))
% 0.97/1.05 [825]E(x8251,x8252)+E(x8253,x8251)+P26(f56(f56(f57(f63(a58,a58)),f46(x8253,x8251,a58,a58)),f21(x8254,x8252)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8253,x8251,a58,a58)),x8254))
% 0.97/1.05 [826]E(x8261,x8262)+E(x8261,x8263)+P26(f56(f56(f57(f63(a58,a58)),f46(x8261,x8263,a58,a58)),f24(x8264,x8262)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8261,x8263,a58,a58)),x8264))
% 0.97/1.05 [867]~P13(x8674,f26(f56(f5(f54(x8671),x8671,x8671,a1),x8672),x8673,f61(x8671,a1)),f61(x8671,a1))+P13(f28(x8674,f26(f56(f5(f54(x8671),x8671,x8671,a1),x8672),f41(f61(x8671,a1)),f61(x8671,a1)),f61(x8671,a1)),x8673,f61(x8671,a1))+~P26(f56(f56(f57(x8671),x8672),x8674))+P26(f56(f56(f57(x8671),x8672),x8673))
% 0.97/1.05 [878]~P7(x8784,x8783,f61(x8781,a1))+~P13(f28(x8784,f26(f56(f5(f54(x8781),x8781,x8781,a1),x8782),f41(f61(x8781,a1)),f61(x8781,a1)),f61(x8781,a1)),x8783,f61(x8781,a1))+P13(x8784,f26(f56(f5(f54(x8781),x8781,x8781,a1),x8782),x8783,f61(x8781,a1)),f61(x8781,a1))+P26(f56(f56(f57(x8781),x8782),x8783))
% 0.97/1.05 [880]~P13(f28(x8804,f26(f56(f5(f54(x8801),x8801,x8801,a1),x8802),f41(f61(x8801,a1)),f61(x8801,a1)),f61(x8801,a1)),x8803,f61(x8801,a1))+P13(x8804,f26(f56(f5(f54(x8801),x8801,x8801,a1),x8802),x8803,f61(x8801,a1)),f61(x8801,a1))+~P26(f56(f56(f57(x8801),x8802),x8804))+P26(f56(f56(f57(x8801),x8802),x8803))
% 0.97/1.05 [881]~P13(x8811,x8814,f61(x8812,a1))+~P13(f28(x8811,f26(f56(f5(f54(x8812),x8812,x8812,a1),x8813),f41(f61(x8812,a1)),f61(x8812,a1)),f61(x8812,a1)),x8814,f61(x8812,a1))+P13(x8811,f26(f56(f5(f54(x8812),x8812,x8812,a1),x8813),x8814,f61(x8812,a1)),f61(x8812,a1))+~P26(f56(f56(f57(x8812),x8813),x8811))
% 0.97/1.05 [847]E(x8471,x8472)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8473,x8471,a58,a58)),f23(x8474,x8471,x8472)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8473,x8472,a58,a58)),x8474))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8474),a6))
% 0.97/1.05 [848]E(x8481,x8482)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8481,x8483,a58,a58)),f22(x8484,x8482,x8481)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8482,x8483,a58,a58)),x8484))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8484),a6))
% 0.97/1.05 [562]~P23(x5623)+~P7(x5625,x5624,x5623)+P7(x5621,x5622,x5623)+~E(f28(x5624,x5625,x5623),f28(x5622,x5621,x5623))
% 0.97/1.05 [563]~P23(x5633)+~P7(x5635,x5634,x5633)+P7(x5631,x5632,x5633)+~E(f28(x5632,x5631,x5633),f28(x5634,x5635,x5633))
% 0.97/1.05 [564]~P23(x5643)+~P13(x5644,x5645,x5643)+P13(x5641,x5642,x5643)+~E(f28(x5644,x5645,x5643),f28(x5641,x5642,x5643))
% 0.97/1.05 [565]~P23(x5653)+~P13(x5654,x5655,x5653)+P13(x5651,x5652,x5653)+~E(f28(x5651,x5652,x5653),f28(x5654,x5655,x5653))
% 0.97/1.05 [796]~P8(x7961,x7963,x7964,x7965)+~P8(x7961,x7962,x7964,x7965)+P8(x7961,f26(x7962,x7963,f61(x7964,a1)),x7964,x7965)+~E(f27(f55(x7961,f28(x7962,x7963,f61(x7964,a1)),x7964,x7965),f55(x7961,f28(x7963,x7962,f61(x7964,a1)),x7964,x7965),f61(x7965,a1)),f41(f61(x7965,a1)))
% 0.97/1.05 [872]E(x8721,x8722)+~E(f56(x8721,f35(x8723,x8721,x8722,x8724,x8725)),f56(x8722,f35(x8723,x8721,x8722,x8724,x8725)))+~P26(f56(f56(f57(f61(x8724,x8725)),x8722),f34(x8723,x8724,x8725)))+~P26(f56(f56(f57(f61(x8724,x8725)),x8721),f34(x8723,x8724,x8725)))
% 0.97/1.05 [695]P26(f56(x6951,x6952))+~P26(f56(x6951,f12(x6954,x6951,x6955)))+~P26(f56(x6953,f12(x6954,x6953,x6955)))+~P26(f56(f56(f57(x6955),x6952),x6954))
% 0.97/1.05 [709]P26(f56(x7091,x7092))+P26(f56(f56(f57(x7093),f12(x7094,x7091,x7093)),x7094))+P26(f56(f56(f57(x7093),f12(x7094,x7095,x7093)),x7094))+~P26(f56(f56(f57(x7093),x7092),x7094))
% 0.97/1.05 [779]P26(f56(x7791,x7792))+~P26(f56(x7793,f13(x7794,x7793,x7791,x7795)))+~P26(f56(x7791,f13(x7794,x7793,x7791,x7795)))+~P26(f56(f56(f57(x7795),x7792),x7794))
% 0.97/1.05 [780]P26(f56(x7801,x7802))+~P26(f56(x7803,f13(x7804,x7801,x7803,x7805)))+~P26(f56(x7801,f13(x7804,x7801,x7803,x7805)))+~P26(f56(f56(f57(x7805),x7802),x7804))
% 0.97/1.05 [888]~P10(x8885,x8884,x8881)+~E(f45(x8884,f26(f56(f5(f54(x8881),x8881,x8881,a1),x8882),f41(f61(x8881,a1)),f61(x8881,a1)),x8881,x8881),f45(x8884,f26(f56(f5(f54(x8881),x8881,x8881,a1),x8883),f41(f61(x8881,a1)),f61(x8881,a1)),x8881,x8881))+~P26(f56(f56(f57(x8881),x8883),x8885))+P26(f56(f56(f57(f63(x8881,x8881)),f46(x8882,x8883,x8881,x8881)),x8884))
% 0.97/1.05 [899]E(x8991,x8992)+~P26(f56(f56(f57(f61(x8993,x8995)),x8992),f34(x8994,x8993,x8995)))+~P26(f56(f56(f57(f61(x8993,x8995)),x8991),f34(x8994,x8993,x8995)))+P26(f56(f56(f57(x8993),f35(x8994,x8991,x8992,x8993,x8995)),x8994))
% 0.97/1.05 [908]~P10(x9085,x9084,x9081)+~P7(f45(x9084,f26(f56(f5(f54(x9081),x9081,x9081,a1),x9083),f41(f61(x9081,a1)),f61(x9081,a1)),x9081,x9081),f45(x9084,f26(f56(f5(f54(x9081),x9081,x9081,a1),x9082),f41(f61(x9081,a1)),f61(x9081,a1)),x9081,x9081),f61(x9081,a1))+~P26(f56(f56(f57(x9081),x9083),x9085))+P26(f56(f56(f57(f63(x9081,x9081)),f46(x9082,x9083,x9081,x9081)),x9084))
% 0.97/1.05 [740]~P8(x7401,x7406,x7403,x7404)+~P7(x7402,x7406,f61(x7403,a1))+~P7(x7405,x7406,f61(x7403,a1))+E(f27(f55(x7401,x7402,x7403,x7404),f55(x7401,x7405,x7403,x7404),f61(x7404,a1)),f55(x7401,f27(x7402,x7405,f61(x7403,a1)),x7403,x7404))
% 0.97/1.05 [741]~P8(x7411,x7416,x7413,x7414)+~P7(x7412,x7416,f61(x7413,a1))+~P7(x7415,x7416,f61(x7413,a1))+E(f28(f55(x7411,x7412,x7413,x7414),f55(x7411,x7415,x7413,x7414),f61(x7414,a1)),f55(x7411,f28(x7412,x7415,f61(x7413,a1)),x7413,x7414))
% 0.97/1.05 [818]~P26(f56(x8181,x8186))+~P26(f56(f56(f57(x8185),x8186),f56(x8183,x8187)))+P26(f56(x8181,f14(x8182,x8183,x8181,x8184,x8185)))+~P26(f56(f56(f57(x8184),x8187),x8182))
% 0.97/1.05 [898]~P26(f56(x8984,x8986))+~P26(f56(f56(f57(x8981),x8986),f56(x8983,x8987)))+~P26(f56(f56(f57(x8985),x8987),x8982))+P26(f56(f56(f57(x8981),f14(x8982,x8983,x8984,x8985,x8981)),f29(x8982,x8983,x8985,f61(x8981,a1))))
% 0.97/1.05 [835]E(x8351,x8352)+E(x8353,x8352)+P26(f56(f56(f57(f63(a58,a58)),f46(x8352,x8351,a58,a58)),f22(x8354,x8353,x8352)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8353,x8351,a58,a58)),x8354))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8354),a6))
% 0.97/1.05 [836]E(x8361,x8362)+E(x8363,x8362)+P26(f56(f56(f57(f63(a58,a58)),f46(x8362,x8361,a58,a58)),f23(x8364,x8362,x8363)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8363,x8361,a58,a58)),x8364))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8364),a6))
% 0.97/1.05 [837]E(x8371,x8372)+E(x8373,x8372)+P26(f56(f56(f57(f63(a58,a58)),f46(x8373,x8372,a58,a58)),f22(x8374,x8371,x8372)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8373,x8371,a58,a58)),x8374))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8374),a6))
% 0.97/1.05 [838]E(x8381,x8382)+E(x8383,x8382)+P26(f56(f56(f57(f63(a58,a58)),f46(x8383,x8382,a58,a58)),f23(x8384,x8382,x8381)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8383,x8381,a58,a58)),x8384))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8384),a6))
% 0.97/1.05 [839]E(x8391,x8392)+E(x8393,x8391)+P26(f56(f56(f57(f63(a58,a58)),f46(x8393,x8391,a58,a58)),f23(x8394,x8392,x8391)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8393,x8391,a58,a58)),x8394))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8394),a6))
% 0.97/1.05 [841]E(x8411,x8412)+E(x8411,x8413)+P26(f56(f56(f57(f63(a58,a58)),f46(x8412,x8411,a58,a58)),f23(x8414,x8413,x8411)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8412,x8411,a58,a58)),x8414))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8414),a6))
% 0.97/1.05 [842]E(x8421,x8422)+E(x8421,x8423)+P26(f56(f56(f57(f63(a58,a58)),f46(x8421,x8422,a58,a58)),f22(x8424,x8421,x8423)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8421,x8422,a58,a58)),x8424))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8424),a6))
% 0.97/1.05 [729]E(x7291,x7292)+~P10(x7294,x7295,x7293)+E(f27(x7291,x7292,f61(x7293,a1)),f41(f61(x7293,a1)))+~P26(f56(f56(f57(f61(x7293,a1)),x7292),f31(x7294,x7295,x7293)))+~P26(f56(f56(f57(f61(x7293,a1)),x7291),f31(x7294,x7295,x7293)))
% 0.97/1.05 [868]~P10(x8685,x8683,x8681)+E(f31(f26(f56(f5(f54(x8681),x8681,x8681,a1),x8682),f41(f61(x8681,a1)),f61(x8681,a1)),x8683,x8681),f31(f26(f56(f5(f54(x8681),x8681,x8681,a1),x8684),f41(f61(x8681,a1)),f61(x8681,a1)),x8683,x8681))+~P26(f56(f56(f57(x8681),x8684),x8685))+~P26(f56(f56(f57(x8681),x8682),x8685))+~P26(f56(f56(f57(f63(x8681,x8681)),f46(x8682,x8684,x8681,x8681)),x8683))
% 0.97/1.05 [877]~P10(x8775,x8774,x8771)+~E(f31(f26(f56(f5(f54(x8771),x8771,x8771,a1),x8772),f41(f61(x8771,a1)),f61(x8771,a1)),x8774,x8771),f31(f26(f56(f5(f54(x8771),x8771,x8771,a1),x8773),f41(f61(x8771,a1)),f61(x8771,a1)),x8774,x8771))+~P26(f56(f56(f57(x8771),x8773),x8775))+~P26(f56(f56(f57(x8771),x8772),x8775))+P26(f56(f56(f57(f63(x8771,x8771)),f46(x8772,x8773,x8771,x8771)),x8774))
% 0.97/1.05 [676]E(x6761,x6762)+~P8(x6763,x6764,x6765,x6766)+~E(f56(x6763,x6761),f56(x6763,x6762))+~P26(f56(f56(f57(x6765),x6762),x6764))+~P26(f56(f56(f57(x6765),x6761),x6764))
% 0.97/1.05 [781]~P10(x7815,x7814,x7811)+~P26(f56(f56(f57(f61(x7811,a1)),x7816),f31(x7815,x7814,x7811)))+~P26(f56(f56(f57(x7811),x7813),x7816))+P26(f56(f56(f57(f63(x7811,x7811)),f46(x7812,x7813,x7811,x7811)),x7814))+~P26(f56(f56(f57(x7811),x7812),x7816))
% 0.97/1.05 [851]E(x8513,x8511)+E(x8511,x8512)+E(x8513,x8512)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8511,x8513,a58,a58)),f23(x8514,x8511,x8512)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8512,x8513,a58,a58)),x8514))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8514),a6))
% 0.97/1.05 [852]E(x8523,x8521)+E(x8521,x8522)+E(x8523,x8522)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8523,x8521,a58,a58)),f22(x8524,x8522,x8521)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8523,x8522,a58,a58)),x8524))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8524),a6))
% 0.97/1.05 [849]E(x8491,x8492)+E(x8493,x8491)+E(x8494,x8491)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8494,x8493,a58,a58)),f22(x8495,x8492,x8491)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8494,x8493,a58,a58)),x8495))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8495),a6))
% 0.97/1.05 [850]E(x8501,x8502)+E(x8503,x8501)+E(x8504,x8501)+~P26(f56(f56(f57(f63(a58,a58)),f46(x8504,x8503,a58,a58)),f23(x8505,x8501,x8502)))+P26(f56(f56(f57(f63(a58,a58)),f46(x8504,x8503,a58,a58)),x8505))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8505),a6))
% 0.97/1.05 [843]E(x8434,x8433)+E(x8431,x8432)+E(x8433,x8432)+E(x8434,x8432)+P26(f56(f56(f57(f63(a58,a58)),f46(x8434,x8433,a58,a58)),f22(x8435,x8431,x8432)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8434,x8433,a58,a58)),x8435))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8435),a6))
% 0.97/1.05 [844]E(x8444,x8443)+E(x8441,x8442)+E(x8443,x8441)+E(x8444,x8441)+P26(f56(f56(f57(f63(a58,a58)),f46(x8444,x8443,a58,a58)),f23(x8445,x8441,x8442)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8444,x8443,a58,a58)),x8445))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8445),a6))
% 0.97/1.05 [884]E(x8841,x8842)+E(x8843,x8842)+E(x8844,x8843)+P26(f56(f56(f57(f63(a58,a58)),f46(x8844,x8843,a58,a58)),f22(x8845,x8841,x8842)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8844,x8843,a58,a58)),x8845))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8841,x8843,a58,a58)),x8845))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8845),a6))
% 0.97/1.05 [885]E(x8851,x8852)+E(x8853,x8851)+E(x8854,x8853)+P26(f56(f56(f57(f63(a58,a58)),f46(x8854,x8853,a58,a58)),f23(x8855,x8851,x8852)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8854,x8853,a58,a58)),x8855))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8852,x8853,a58,a58)),x8855))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8855),a6))
% 0.97/1.05 [886]E(x8861,x8862)+E(x8863,x8862)+E(x8863,x8864)+P26(f56(f56(f57(f63(a58,a58)),f46(x8863,x8864,a58,a58)),f22(x8865,x8861,x8862)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8863,x8864,a58,a58)),x8865))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8863,x8861,a58,a58)),x8865))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8865),a6))
% 0.97/1.05 [887]E(x8871,x8872)+E(x8873,x8871)+E(x8873,x8874)+P26(f56(f56(f57(f63(a58,a58)),f46(x8873,x8874,a58,a58)),f23(x8875,x8871,x8872)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8873,x8874,a58,a58)),x8875))+~P26(f56(f56(f57(f63(a58,a58)),f46(x8873,x8872,a58,a58)),x8875))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x8875),a6))
% 0.97/1.05 [901]E(x9011,x9012)+E(x9013,x9014)+P26(f56(f56(f57(f63(a58,a58)),f46(x9013,x9014,a58,a58)),f22(x9015,x9011,x9012)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9013,x9014,a58,a58)),x9015))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9011,x9014,a58,a58)),x9015))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9013,x9011,a58,a58)),x9015))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x9015),a6))
% 0.97/1.05 [902]E(x9021,x9022)+E(x9023,x9024)+P26(f56(f56(f57(f63(a58,a58)),f46(x9023,x9024,a58,a58)),f23(x9025,x9021,x9022)))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9023,x9024,a58,a58)),x9025))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9022,x9024,a58,a58)),x9025))+~P26(f56(f56(f57(f63(a58,a58)),f46(x9023,x9022,a58,a58)),x9025))+~P26(f56(f56(f57(f61(f63(a58,a58),a1)),x9025),a6))
% 0.97/1.05 [822]E(x8221,x8222)+~P10(x8223,x8224,x8225)+~P26(f56(f56(f57(f61(x8225,a1)),x8222),f31(x8223,x8224,x8225)))+~P26(f56(f56(f57(f61(x8225,a1)),x8221),f31(x8223,x8224,x8225)))+~P26(f56(f56(f57(f63(x8225,x8225)),f46(x8227,x8226,x8225,x8225)),x8224))+~P26(f56(f56(f57(x8225),x8226),x8222))+~P26(f56(f56(f57(x8225),x8227),x8221))
% 0.97/1.05 %EqnAxiom
% 0.97/1.05 [1]E(x11,x11)
% 0.97/1.05 [2]E(x22,x21)+~E(x21,x22)
% 0.97/1.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.97/1.05 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.97/1.05 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.97/1.05 [6]~E(x61,x62)+E(f61(x61,x63),f61(x62,x63))
% 0.97/1.05 [7]~E(x71,x72)+E(f61(x73,x71),f61(x73,x72))
% 0.97/1.05 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.97/1.05 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.97/1.05 [10]~E(x101,x102)+E(f56(x101,x103),f56(x102,x103))
% 0.97/1.05 [11]~E(x111,x112)+E(f56(x113,x111),f56(x113,x112))
% 0.97/1.05 [12]~E(x121,x122)+E(f26(x121,x123,x124),f26(x122,x123,x124))
% 0.97/1.05 [13]~E(x131,x132)+E(f26(x133,x131,x134),f26(x133,x132,x134))
% 0.97/1.05 [14]~E(x141,x142)+E(f26(x143,x144,x141),f26(x143,x144,x142))
% 0.97/1.05 [15]~E(x151,x152)+E(f27(x151,x153,x154),f27(x152,x153,x154))
% 0.97/1.05 [16]~E(x161,x162)+E(f27(x163,x161,x164),f27(x163,x162,x164))
% 0.97/1.05 [17]~E(x171,x172)+E(f27(x173,x174,x171),f27(x173,x174,x172))
% 0.97/1.05 [18]~E(x181,x182)+E(f46(x181,x183,x184,x185),f46(x182,x183,x184,x185))
% 0.97/1.05 [19]~E(x191,x192)+E(f46(x193,x191,x194,x195),f46(x193,x192,x194,x195))
% 0.97/1.05 [20]~E(x201,x202)+E(f46(x203,x204,x201,x205),f46(x203,x204,x202,x205))
% 0.97/1.05 [21]~E(x211,x212)+E(f46(x213,x214,x215,x211),f46(x213,x214,x215,x212))
% 0.97/1.05 [22]~E(x221,x222)+E(f41(x221),f41(x222))
% 0.97/1.05 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235),f5(x232,x233,x234,x235))
% 0.97/1.05 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245),f5(x243,x242,x244,x245))
% 0.97/1.05 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255),f5(x253,x254,x252,x255))
% 0.97/1.05 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261),f5(x263,x264,x265,x262))
% 0.97/1.05 [27]~E(x271,x272)+E(f54(x271),f54(x272))
% 0.97/1.05 [28]~E(x281,x282)+E(f28(x281,x283,x284),f28(x282,x283,x284))
% 0.97/1.05 [29]~E(x291,x292)+E(f28(x293,x291,x294),f28(x293,x292,x294))
% 0.97/1.05 [30]~E(x301,x302)+E(f28(x303,x304,x301),f28(x303,x304,x302))
% 0.97/1.05 [31]~E(x311,x312)+E(f25(x311,x313),f25(x312,x313))
% 0.97/1.05 [32]~E(x321,x322)+E(f25(x323,x321),f25(x323,x322))
% 0.97/1.05 [33]~E(x331,x332)+E(f33(x331,x333,x334,x335),f33(x332,x333,x334,x335))
% 0.97/1.05 [34]~E(x341,x342)+E(f33(x343,x341,x344,x345),f33(x343,x342,x344,x345))
% 0.97/1.05 [35]~E(x351,x352)+E(f33(x353,x354,x351,x355),f33(x353,x354,x352,x355))
% 0.97/1.05 [36]~E(x361,x362)+E(f33(x363,x364,x365,x361),f33(x363,x364,x365,x362))
% 0.97/1.05 [37]~E(x371,x372)+E(f57(x371),f57(x372))
% 0.97/1.05 [38]~E(x381,x382)+E(f45(x381,x383,x384,x385),f45(x382,x383,x384,x385))
% 0.97/1.05 [39]~E(x391,x392)+E(f45(x393,x391,x394,x395),f45(x393,x392,x394,x395))
% 0.97/1.05 [40]~E(x401,x402)+E(f45(x403,x404,x401,x405),f45(x403,x404,x402,x405))
% 0.97/1.05 [41]~E(x411,x412)+E(f45(x413,x414,x415,x411),f45(x413,x414,x415,x412))
% 0.97/1.05 [42]~E(x421,x422)+E(f14(x421,x423,x424,x425,x426),f14(x422,x423,x424,x425,x426))
% 0.97/1.05 [43]~E(x431,x432)+E(f14(x433,x431,x434,x435,x436),f14(x433,x432,x434,x435,x436))
% 0.97/1.05 [44]~E(x441,x442)+E(f14(x443,x444,x441,x445,x446),f14(x443,x444,x442,x445,x446))
% 0.97/1.05 [45]~E(x451,x452)+E(f14(x453,x454,x455,x451,x456),f14(x453,x454,x455,x452,x456))
% 0.97/1.05 [46]~E(x461,x462)+E(f14(x463,x464,x465,x466,x461),f14(x463,x464,x465,x466,x462))
% 0.97/1.05 [47]~E(x471,x472)+E(f4(x471,x473,x474),f4(x472,x473,x474))
% 0.97/1.05 [48]~E(x481,x482)+E(f4(x483,x481,x484),f4(x483,x482,x484))
% 0.97/1.05 [49]~E(x491,x492)+E(f4(x493,x494,x491),f4(x493,x494,x492))
% 0.97/1.05 [50]~E(x501,x502)+E(f63(x501,x503),f63(x502,x503))
% 0.97/1.05 [51]~E(x511,x512)+E(f63(x513,x511),f63(x513,x512))
% 0.97/1.05 [52]~E(x521,x522)+E(f19(x521,x523,x524,x525,x526),f19(x522,x523,x524,x525,x526))
% 0.97/1.05 [53]~E(x531,x532)+E(f19(x533,x531,x534,x535,x536),f19(x533,x532,x534,x535,x536))
% 0.97/1.05 [54]~E(x541,x542)+E(f19(x543,x544,x541,x545,x546),f19(x543,x544,x542,x545,x546))
% 0.97/1.05 [55]~E(x551,x552)+E(f19(x553,x554,x555,x551,x556),f19(x553,x554,x555,x552,x556))
% 0.97/1.05 [56]~E(x561,x562)+E(f19(x563,x564,x565,x566,x561),f19(x563,x564,x565,x566,x562))
% 0.97/1.05 [57]~E(x571,x572)+E(f31(x571,x573,x574),f31(x572,x573,x574))
% 0.97/1.05 [58]~E(x581,x582)+E(f31(x583,x581,x584),f31(x583,x582,x584))
% 0.97/1.05 [59]~E(x591,x592)+E(f31(x593,x594,x591),f31(x593,x594,x592))
% 0.97/1.05 [60]~E(x601,x602)+E(f39(x601),f39(x602))
% 0.97/1.05 [61]~E(x611,x612)+E(f12(x611,x613,x614),f12(x612,x613,x614))
% 0.97/1.05 [62]~E(x621,x622)+E(f12(x623,x621,x624),f12(x623,x622,x624))
% 0.97/1.05 [63]~E(x631,x632)+E(f12(x633,x634,x631),f12(x633,x634,x632))
% 0.97/1.05 [64]~E(x641,x642)+E(f37(x641,x643,x644,x645,x646),f37(x642,x643,x644,x645,x646))
% 0.97/1.05 [65]~E(x651,x652)+E(f37(x653,x651,x654,x655,x656),f37(x653,x652,x654,x655,x656))
% 0.97/1.05 [66]~E(x661,x662)+E(f37(x663,x664,x661,x665,x666),f37(x663,x664,x662,x665,x666))
% 0.97/1.05 [67]~E(x671,x672)+E(f37(x673,x674,x675,x671,x676),f37(x673,x674,x675,x672,x676))
% 0.97/1.05 [68]~E(x681,x682)+E(f37(x683,x684,x685,x686,x681),f37(x683,x684,x685,x686,x682))
% 0.97/1.05 [69]~E(x691,x692)+E(f43(x691,x693,x694,x695),f43(x692,x693,x694,x695))
% 0.97/1.05 [70]~E(x701,x702)+E(f43(x703,x701,x704,x705),f43(x703,x702,x704,x705))
% 0.97/1.05 [71]~E(x711,x712)+E(f43(x713,x714,x711,x715),f43(x713,x714,x712,x715))
% 0.97/1.05 [72]~E(x721,x722)+E(f43(x723,x724,x725,x721),f43(x723,x724,x725,x722))
% 0.97/1.05 [73]~E(x731,x732)+E(f22(x731,x733,x734),f22(x732,x733,x734))
% 0.97/1.05 [74]~E(x741,x742)+E(f22(x743,x741,x744),f22(x743,x742,x744))
% 0.97/1.05 [75]~E(x751,x752)+E(f22(x753,x754,x751),f22(x753,x754,x752))
% 0.97/1.05 [76]~E(x761,x762)+E(f34(x761,x763,x764),f34(x762,x763,x764))
% 0.97/1.05 [77]~E(x771,x772)+E(f34(x773,x771,x774),f34(x773,x772,x774))
% 0.97/1.05 [78]~E(x781,x782)+E(f34(x783,x784,x781),f34(x783,x784,x782))
% 0.97/1.05 [79]~E(x791,x792)+E(f30(x791,x793,x794,x795,x796),f30(x792,x793,x794,x795,x796))
% 0.97/1.05 [80]~E(x801,x802)+E(f30(x803,x801,x804,x805,x806),f30(x803,x802,x804,x805,x806))
% 0.97/1.05 [81]~E(x811,x812)+E(f30(x813,x814,x811,x815,x816),f30(x813,x814,x812,x815,x816))
% 0.97/1.05 [82]~E(x821,x822)+E(f30(x823,x824,x825,x821,x826),f30(x823,x824,x825,x822,x826))
% 0.97/1.05 [83]~E(x831,x832)+E(f30(x833,x834,x835,x836,x831),f30(x833,x834,x835,x836,x832))
% 0.97/1.05 [84]~E(x841,x842)+E(f50(x841,x843,x844),f50(x842,x843,x844))
% 0.97/1.05 [85]~E(x851,x852)+E(f50(x853,x851,x854),f50(x853,x852,x854))
% 0.97/1.05 [86]~E(x861,x862)+E(f50(x863,x864,x861),f50(x863,x864,x862))
% 0.97/1.05 [87]~E(x871,x872)+E(f55(x871,x873,x874,x875),f55(x872,x873,x874,x875))
% 0.97/1.05 [88]~E(x881,x882)+E(f55(x883,x881,x884,x885),f55(x883,x882,x884,x885))
% 0.97/1.05 [89]~E(x891,x892)+E(f55(x893,x894,x891,x895),f55(x893,x894,x892,x895))
% 0.97/1.05 [90]~E(x901,x902)+E(f55(x903,x904,x905,x901),f55(x903,x904,x905,x902))
% 0.97/1.05 [91]~E(x911,x912)+E(f29(x911,x913,x914,x915),f29(x912,x913,x914,x915))
% 0.97/1.05 [92]~E(x921,x922)+E(f29(x923,x921,x924,x925),f29(x923,x922,x924,x925))
% 0.97/1.05 [93]~E(x931,x932)+E(f29(x933,x934,x931,x935),f29(x933,x934,x932,x935))
% 0.97/1.05 [94]~E(x941,x942)+E(f29(x943,x944,x945,x941),f29(x943,x944,x945,x942))
% 0.97/1.05 [95]~E(x951,x952)+E(f24(x951,x953),f24(x952,x953))
% 0.97/1.05 [96]~E(x961,x962)+E(f24(x963,x961),f24(x963,x962))
% 0.97/1.05 [97]~E(x971,x972)+E(f16(x971,x973,x974),f16(x972,x973,x974))
% 0.97/1.05 [98]~E(x981,x982)+E(f16(x983,x981,x984),f16(x983,x982,x984))
% 0.97/1.05 [99]~E(x991,x992)+E(f16(x993,x994,x991),f16(x993,x994,x992))
% 0.97/1.05 [100]~E(x1001,x1002)+E(f23(x1001,x1003,x1004),f23(x1002,x1003,x1004))
% 0.97/1.05 [101]~E(x1011,x1012)+E(f23(x1013,x1011,x1014),f23(x1013,x1012,x1014))
% 0.97/1.05 [102]~E(x1021,x1022)+E(f23(x1023,x1024,x1021),f23(x1023,x1024,x1022))
% 0.97/1.05 [103]~E(x1031,x1032)+E(f36(x1031,x1033,x1034,x1035,x1036),f36(x1032,x1033,x1034,x1035,x1036))
% 0.97/1.05 [104]~E(x1041,x1042)+E(f36(x1043,x1041,x1044,x1045,x1046),f36(x1043,x1042,x1044,x1045,x1046))
% 0.97/1.05 [105]~E(x1051,x1052)+E(f36(x1053,x1054,x1051,x1055,x1056),f36(x1053,x1054,x1052,x1055,x1056))
% 0.97/1.05 [106]~E(x1061,x1062)+E(f36(x1063,x1064,x1065,x1061,x1066),f36(x1063,x1064,x1065,x1062,x1066))
% 0.97/1.05 [107]~E(x1071,x1072)+E(f36(x1073,x1074,x1075,x1076,x1071),f36(x1073,x1074,x1075,x1076,x1072))
% 0.97/1.05 [108]~E(x1081,x1082)+E(f51(x1081,x1083,x1084),f51(x1082,x1083,x1084))
% 0.97/1.05 [109]~E(x1091,x1092)+E(f51(x1093,x1091,x1094),f51(x1093,x1092,x1094))
% 0.97/1.05 [110]~E(x1101,x1102)+E(f51(x1103,x1104,x1101),f51(x1103,x1104,x1102))
% 0.97/1.05 [111]~E(x1111,x1112)+E(f52(x1111,x1113,x1114,x1115),f52(x1112,x1113,x1114,x1115))
% 0.97/1.05 [112]~E(x1121,x1122)+E(f52(x1123,x1121,x1124,x1125),f52(x1123,x1122,x1124,x1125))
% 0.97/1.05 [113]~E(x1131,x1132)+E(f52(x1133,x1134,x1131,x1135),f52(x1133,x1134,x1132,x1135))
% 0.97/1.05 [114]~E(x1141,x1142)+E(f52(x1143,x1144,x1145,x1141),f52(x1143,x1144,x1145,x1142))
% 0.97/1.05 [115]~E(x1151,x1152)+E(f49(x1151,x1153,x1154,x1155,x1156),f49(x1152,x1153,x1154,x1155,x1156))
% 0.97/1.05 [116]~E(x1161,x1162)+E(f49(x1163,x1161,x1164,x1165,x1166),f49(x1163,x1162,x1164,x1165,x1166))
% 0.97/1.05 [117]~E(x1171,x1172)+E(f49(x1173,x1174,x1171,x1175,x1176),f49(x1173,x1174,x1172,x1175,x1176))
% 0.97/1.05 [118]~E(x1181,x1182)+E(f49(x1183,x1184,x1185,x1181,x1186),f49(x1183,x1184,x1185,x1182,x1186))
% 0.97/1.05 [119]~E(x1191,x1192)+E(f49(x1193,x1194,x1195,x1196,x1191),f49(x1193,x1194,x1195,x1196,x1192))
% 0.97/1.05 [120]~E(x1201,x1202)+E(f48(x1201,x1203,x1204,x1205),f48(x1202,x1203,x1204,x1205))
% 0.97/1.05 [121]~E(x1211,x1212)+E(f48(x1213,x1211,x1214,x1215),f48(x1213,x1212,x1214,x1215))
% 0.97/1.05 [122]~E(x1221,x1222)+E(f48(x1223,x1224,x1221,x1225),f48(x1223,x1224,x1222,x1225))
% 0.97/1.05 [123]~E(x1231,x1232)+E(f48(x1233,x1234,x1235,x1231),f48(x1233,x1234,x1235,x1232))
% 0.97/1.05 [124]~E(x1241,x1242)+E(f44(x1241,x1243,x1244),f44(x1242,x1243,x1244))
% 0.97/1.05 [125]~E(x1251,x1252)+E(f44(x1253,x1251,x1254),f44(x1253,x1252,x1254))
% 0.97/1.05 [126]~E(x1261,x1262)+E(f44(x1263,x1264,x1261),f44(x1263,x1264,x1262))
% 0.97/1.05 [127]~E(x1271,x1272)+E(f53(x1271,x1273,x1274,x1275,x1276),f53(x1272,x1273,x1274,x1275,x1276))
% 0.97/1.05 [128]~E(x1281,x1282)+E(f53(x1283,x1281,x1284,x1285,x1286),f53(x1283,x1282,x1284,x1285,x1286))
% 0.97/1.05 [129]~E(x1291,x1292)+E(f53(x1293,x1294,x1291,x1295,x1296),f53(x1293,x1294,x1292,x1295,x1296))
% 0.97/1.05 [130]~E(x1301,x1302)+E(f53(x1303,x1304,x1305,x1301,x1306),f53(x1303,x1304,x1305,x1302,x1306))
% 0.97/1.05 [131]~E(x1311,x1312)+E(f53(x1313,x1314,x1315,x1316,x1311),f53(x1313,x1314,x1315,x1316,x1312))
% 0.97/1.05 [132]~E(x1321,x1322)+E(f8(x1321,x1323,x1324),f8(x1322,x1323,x1324))
% 0.97/1.05 [133]~E(x1331,x1332)+E(f8(x1333,x1331,x1334),f8(x1333,x1332,x1334))
% 0.97/1.05 [134]~E(x1341,x1342)+E(f8(x1343,x1344,x1341),f8(x1343,x1344,x1342))
% 0.97/1.05 [135]~E(x1351,x1352)+E(f18(x1351,x1353,x1354,x1355),f18(x1352,x1353,x1354,x1355))
% 0.97/1.05 [136]~E(x1361,x1362)+E(f18(x1363,x1361,x1364,x1365),f18(x1363,x1362,x1364,x1365))
% 0.97/1.05 [137]~E(x1371,x1372)+E(f18(x1373,x1374,x1371,x1375),f18(x1373,x1374,x1372,x1375))
% 0.97/1.05 [138]~E(x1381,x1382)+E(f18(x1383,x1384,x1385,x1381),f18(x1383,x1384,x1385,x1382))
% 0.97/1.05 [139]~E(x1391,x1392)+E(f7(x1391,x1393,x1394),f7(x1392,x1393,x1394))
% 0.97/1.05 [140]~E(x1401,x1402)+E(f7(x1403,x1401,x1404),f7(x1403,x1402,x1404))
% 0.97/1.05 [141]~E(x1411,x1412)+E(f7(x1413,x1414,x1411),f7(x1413,x1414,x1412))
% 0.97/1.05 [142]~E(x1421,x1422)+E(f38(x1421,x1423,x1424,x1425,x1426),f38(x1422,x1423,x1424,x1425,x1426))
% 0.97/1.05 [143]~E(x1431,x1432)+E(f38(x1433,x1431,x1434,x1435,x1436),f38(x1433,x1432,x1434,x1435,x1436))
% 0.97/1.05 [144]~E(x1441,x1442)+E(f38(x1443,x1444,x1441,x1445,x1446),f38(x1443,x1444,x1442,x1445,x1446))
% 0.97/1.05 [145]~E(x1451,x1452)+E(f38(x1453,x1454,x1455,x1451,x1456),f38(x1453,x1454,x1455,x1452,x1456))
% 0.97/1.05 [146]~E(x1461,x1462)+E(f38(x1463,x1464,x1465,x1466,x1461),f38(x1463,x1464,x1465,x1466,x1462))
% 0.97/1.05 [147]~E(x1471,x1472)+E(f66(x1471,x1473),f66(x1472,x1473))
% 0.97/1.05 [148]~E(x1481,x1482)+E(f66(x1483,x1481),f66(x1483,x1482))
% 0.97/1.05 [149]~E(x1491,x1492)+E(f11(x1491,x1493,x1494),f11(x1492,x1493,x1494))
% 0.97/1.05 [150]~E(x1501,x1502)+E(f11(x1503,x1501,x1504),f11(x1503,x1502,x1504))
% 0.97/1.05 [151]~E(x1511,x1512)+E(f11(x1513,x1514,x1511),f11(x1513,x1514,x1512))
% 0.97/1.05 [152]~E(x1521,x1522)+E(f13(x1521,x1523,x1524,x1525),f13(x1522,x1523,x1524,x1525))
% 0.97/1.05 [153]~E(x1531,x1532)+E(f13(x1533,x1531,x1534,x1535),f13(x1533,x1532,x1534,x1535))
% 0.97/1.05 [154]~E(x1541,x1542)+E(f13(x1543,x1544,x1541,x1545),f13(x1543,x1544,x1542,x1545))
% 0.97/1.05 [155]~E(x1551,x1552)+E(f13(x1553,x1554,x1555,x1551),f13(x1553,x1554,x1555,x1552))
% 0.97/1.05 [156]~E(x1561,x1562)+E(f21(x1561,x1563),f21(x1562,x1563))
% 0.97/1.05 [157]~E(x1571,x1572)+E(f21(x1573,x1571),f21(x1573,x1572))
% 0.97/1.05 [158]~E(x1581,x1582)+E(f32(x1581,x1583,x1584,x1585),f32(x1582,x1583,x1584,x1585))
% 0.97/1.05 [159]~E(x1591,x1592)+E(f32(x1593,x1591,x1594,x1595),f32(x1593,x1592,x1594,x1595))
% 0.97/1.05 [160]~E(x1601,x1602)+E(f32(x1603,x1604,x1601,x1605),f32(x1603,x1604,x1602,x1605))
% 0.97/1.05 [161]~E(x1611,x1612)+E(f32(x1613,x1614,x1615,x1611),f32(x1613,x1614,x1615,x1612))
% 0.97/1.05 [162]~E(x1621,x1622)+E(f35(x1621,x1623,x1624,x1625,x1626),f35(x1622,x1623,x1624,x1625,x1626))
% 0.97/1.05 [163]~E(x1631,x1632)+E(f35(x1633,x1631,x1634,x1635,x1636),f35(x1633,x1632,x1634,x1635,x1636))
% 0.97/1.05 [164]~E(x1641,x1642)+E(f35(x1643,x1644,x1641,x1645,x1646),f35(x1643,x1644,x1642,x1645,x1646))
% 0.97/1.05 [165]~E(x1651,x1652)+E(f35(x1653,x1654,x1655,x1651,x1656),f35(x1653,x1654,x1655,x1652,x1656))
% 0.97/1.05 [166]~E(x1661,x1662)+E(f35(x1663,x1664,x1665,x1666,x1661),f35(x1663,x1664,x1665,x1666,x1662))
% 0.97/1.05 [167]~E(x1671,x1672)+E(f40(x1671),f40(x1672))
% 0.97/1.05 [168]~E(x1681,x1682)+E(f17(x1681,x1683,x1684),f17(x1682,x1683,x1684))
% 0.97/1.05 [169]~E(x1691,x1692)+E(f17(x1693,x1691,x1694),f17(x1693,x1692,x1694))
% 0.97/1.05 [170]~E(x1701,x1702)+E(f17(x1703,x1704,x1701),f17(x1703,x1704,x1702))
% 0.97/1.05 [171]~E(x1711,x1712)+E(f47(x1711,x1713,x1714),f47(x1712,x1713,x1714))
% 0.97/1.05 [172]~E(x1721,x1722)+E(f47(x1723,x1721,x1724),f47(x1723,x1722,x1724))
% 0.97/1.05 [173]~E(x1731,x1732)+E(f47(x1733,x1734,x1731),f47(x1733,x1734,x1732))
% 0.97/1.05 [174]~E(x1741,x1742)+E(f10(x1741,x1743,x1744),f10(x1742,x1743,x1744))
% 0.97/1.05 [175]~E(x1751,x1752)+E(f10(x1753,x1751,x1754),f10(x1753,x1752,x1754))
% 0.97/1.05 [176]~E(x1761,x1762)+E(f10(x1763,x1764,x1761),f10(x1763,x1764,x1762))
% 0.97/1.05 [177]~E(x1771,x1772)+E(f15(x1771,x1773,x1774),f15(x1772,x1773,x1774))
% 0.97/1.05 [178]~E(x1781,x1782)+E(f15(x1783,x1781,x1784),f15(x1783,x1782,x1784))
% 0.97/1.05 [179]~E(x1791,x1792)+E(f15(x1793,x1794,x1791),f15(x1793,x1794,x1792))
% 0.97/1.05 [180]~E(x1801,x1802)+E(f9(x1801,x1803,x1804),f9(x1802,x1803,x1804))
% 0.97/1.05 [181]~E(x1811,x1812)+E(f9(x1813,x1811,x1814),f9(x1813,x1812,x1814))
% 0.97/1.05 [182]~E(x1821,x1822)+E(f9(x1823,x1824,x1821),f9(x1823,x1824,x1822))
% 0.97/1.05 [183]~P1(x1831)+P1(x1832)+~E(x1831,x1832)
% 0.97/1.05 [184]P11(x1842,x1843,x1844,x1845,x1846,x1847,x1848,x1849,x18410)+~E(x1841,x1842)+~P11(x1841,x1843,x1844,x1845,x1846,x1847,x1848,x1849,x18410)
% 0.97/1.05 [185]P11(x1853,x1852,x1854,x1855,x1856,x1857,x1858,x1859,x18510)+~E(x1851,x1852)+~P11(x1853,x1851,x1854,x1855,x1856,x1857,x1858,x1859,x18510)
% 0.97/1.05 [186]P11(x1863,x1864,x1862,x1865,x1866,x1867,x1868,x1869,x18610)+~E(x1861,x1862)+~P11(x1863,x1864,x1861,x1865,x1866,x1867,x1868,x1869,x18610)
% 0.97/1.05 [187]P11(x1873,x1874,x1875,x1872,x1876,x1877,x1878,x1879,x18710)+~E(x1871,x1872)+~P11(x1873,x1874,x1875,x1871,x1876,x1877,x1878,x1879,x18710)
% 0.97/1.05 [188]P11(x1883,x1884,x1885,x1886,x1882,x1887,x1888,x1889,x18810)+~E(x1881,x1882)+~P11(x1883,x1884,x1885,x1886,x1881,x1887,x1888,x1889,x18810)
% 0.97/1.05 [189]P11(x1893,x1894,x1895,x1896,x1897,x1892,x1898,x1899,x18910)+~E(x1891,x1892)+~P11(x1893,x1894,x1895,x1896,x1897,x1891,x1898,x1899,x18910)
% 0.97/1.05 [190]P11(x1903,x1904,x1905,x1906,x1907,x1908,x1902,x1909,x19010)+~E(x1901,x1902)+~P11(x1903,x1904,x1905,x1906,x1907,x1908,x1901,x1909,x19010)
% 0.97/1.05 [191]P11(x1913,x1914,x1915,x1916,x1917,x1918,x1919,x1912,x19110)+~E(x1911,x1912)+~P11(x1913,x1914,x1915,x1916,x1917,x1918,x1919,x1911,x19110)
% 0.97/1.05 [192]P11(x1923,x1924,x1925,x1926,x1927,x1928,x1929,x19210,x1922)+~E(x1921,x1922)+~P11(x1923,x1924,x1925,x1926,x1927,x1928,x1929,x19210,x1921)
% 0.97/1.05 [193]~P2(x1931)+P2(x1932)+~E(x1931,x1932)
% 0.97/1.05 [194]~P26(x1941)+P26(x1942)+~E(x1941,x1942)
% 0.97/1.05 [195]~P16(x1951)+P16(x1952)+~E(x1951,x1952)
% 0.97/1.05 [196]P7(x1962,x1963,x1964)+~E(x1961,x1962)+~P7(x1961,x1963,x1964)
% 0.97/1.05 [197]P7(x1973,x1972,x1974)+~E(x1971,x1972)+~P7(x1973,x1971,x1974)
% 0.97/1.05 [198]P7(x1983,x1984,x1982)+~E(x1981,x1982)+~P7(x1983,x1984,x1981)
% 0.97/1.05 [199]~P17(x1991)+P17(x1992)+~E(x1991,x1992)
% 0.97/1.05 [200]~P3(x2001)+P3(x2002)+~E(x2001,x2002)
% 0.97/1.05 [201]~P18(x2011)+P18(x2012)+~E(x2011,x2012)
% 0.97/1.05 [202]~P19(x2021)+P19(x2022)+~E(x2021,x2022)
% 0.97/1.05 [203]P13(x2032,x2033,x2034)+~E(x2031,x2032)+~P13(x2031,x2033,x2034)
% 0.97/1.05 [204]P13(x2043,x2042,x2044)+~E(x2041,x2042)+~P13(x2043,x2041,x2044)
% 0.97/1.05 [205]P13(x2053,x2054,x2052)+~E(x2051,x2052)+~P13(x2053,x2054,x2051)
% 0.97/1.05 [206]~P23(x2061)+P23(x2062)+~E(x2061,x2062)
% 0.97/1.05 [207]~P4(x2071)+P4(x2072)+~E(x2071,x2072)
% 0.97/1.05 [208]P10(x2082,x2083,x2084)+~E(x2081,x2082)+~P10(x2081,x2083,x2084)
% 0.97/1.05 [209]P10(x2093,x2092,x2094)+~E(x2091,x2092)+~P10(x2093,x2091,x2094)
% 0.97/1.05 [210]P10(x2103,x2104,x2102)+~E(x2101,x2102)+~P10(x2103,x2104,x2101)
% 0.97/1.05 [211]~P14(x2111)+P14(x2112)+~E(x2111,x2112)
% 0.97/1.05 [212]~P20(x2121)+P20(x2122)+~E(x2121,x2122)
% 0.97/1.05 [213]~P15(x2131)+P15(x2132)+~E(x2131,x2132)
% 0.97/1.05 [214]~P25(x2141)+P25(x2142)+~E(x2141,x2142)
% 0.97/1.05 [215]P8(x2152,x2153,x2154,x2155)+~E(x2151,x2152)+~P8(x2151,x2153,x2154,x2155)
% 0.97/1.05 [216]P8(x2163,x2162,x2164,x2165)+~E(x2161,x2162)+~P8(x2163,x2161,x2164,x2165)
% 0.97/1.05 [217]P8(x2173,x2174,x2172,x2175)+~E(x2171,x2172)+~P8(x2173,x2174,x2171,x2175)
% 0.97/1.05 [218]P8(x2183,x2184,x2185,x2182)+~E(x2181,x2182)+~P8(x2183,x2184,x2185,x2181)
% 0.97/1.05 [219]~P21(x2191)+P21(x2192)+~E(x2191,x2192)
% 0.97/1.05 [220]~P5(x2201)+P5(x2202)+~E(x2201,x2202)
% 0.97/1.05 [221]~P6(x2211)+P6(x2212)+~E(x2211,x2212)
% 0.97/1.05 [222]P12(x2222,x2223,x2224,x2225,x2226,x2227)+~E(x2221,x2222)+~P12(x2221,x2223,x2224,x2225,x2226,x2227)
% 0.97/1.05 [223]P12(x2233,x2232,x2234,x2235,x2236,x2237)+~E(x2231,x2232)+~P12(x2233,x2231,x2234,x2235,x2236,x2237)
% 0.97/1.05 [224]P12(x2243,x2244,x2242,x2245,x2246,x2247)+~E(x2241,x2242)+~P12(x2243,x2244,x2241,x2245,x2246,x2247)
% 0.97/1.05 [225]P12(x2253,x2254,x2255,x2252,x2256,x2257)+~E(x2251,x2252)+~P12(x2253,x2254,x2255,x2251,x2256,x2257)
% 0.97/1.05 [226]P12(x2263,x2264,x2265,x2266,x2262,x2267)+~E(x2261,x2262)+~P12(x2263,x2264,x2265,x2266,x2261,x2267)
% 0.97/1.05 [227]P12(x2273,x2274,x2275,x2276,x2277,x2272)+~E(x2271,x2272)+~P12(x2273,x2274,x2275,x2276,x2277,x2271)
% 0.97/1.05 [228]~P24(x2281)+P24(x2282)+~E(x2281,x2282)
% 0.97/1.05 [229]P9(x2292,x2293,x2294,x2295,x2296,x2297)+~E(x2291,x2292)+~P9(x2291,x2293,x2294,x2295,x2296,x2297)
% 0.97/1.05 [230]P9(x2303,x2302,x2304,x2305,x2306,x2307)+~E(x2301,x2302)+~P9(x2303,x2301,x2304,x2305,x2306,x2307)
% 0.97/1.05 [231]P9(x2313,x2314,x2312,x2315,x2316,x2317)+~E(x2311,x2312)+~P9(x2313,x2314,x2311,x2315,x2316,x2317)
% 0.97/1.05 [232]P9(x2323,x2324,x2325,x2322,x2326,x2327)+~E(x2321,x2322)+~P9(x2323,x2324,x2325,x2321,x2326,x2327)
% 0.97/1.05 [233]P9(x2333,x2334,x2335,x2336,x2332,x2337)+~E(x2331,x2332)+~P9(x2333,x2334,x2335,x2336,x2331,x2337)
% 0.97/1.05 [234]P9(x2343,x2344,x2345,x2346,x2347,x2342)+~E(x2341,x2342)+~P9(x2343,x2344,x2345,x2346,x2347,x2341)
% 0.97/1.05 [235]~P27(x2351)+P27(x2352)+~E(x2351,x2352)
% 0.97/1.05 [236]~P22(x2361)+P22(x2362)+~E(x2361,x2362)
% 0.97/1.05
% 0.97/1.05 %-------------------------------------------
% 0.97/1.06 cnf(930,plain,
% 0.97/1.06 ($false),
% 0.97/1.06 inference(scs_inference,[],[389,336,380,778]),
% 0.97/1.06 ['proof']).
% 0.97/1.06 % SZS output end Proof
% 0.97/1.06 % Total time :0.060000s
%------------------------------------------------------------------------------