TSTP Solution File: SWV844-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV844-1 : 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 : n004.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 21:35:29 EDT 2023
% Result : Unsatisfiable 1.23s 1.27s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV844-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:33:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 1.06/1.21 %-------------------------------------------
% 1.06/1.21 % File :CSE---1.6
% 1.06/1.21 % Problem :theBenchmark
% 1.06/1.21 % Transform :cnf
% 1.06/1.21 % Format :tptp:raw
% 1.06/1.21 % Command :java -jar mcs_scs.jar %d %s
% 1.06/1.21
% 1.06/1.21 % Result :Theorem 0.100000s
% 1.06/1.21 % Output :CNFRefutation 0.100000s
% 1.06/1.21 %-------------------------------------------
% 1.06/1.21 %------------------------------------------------------------------------------
% 1.06/1.21 % File : SWV844-1 : TPTP v8.1.2. Released v4.1.0.
% 1.06/1.21 % Domain : Software Verification
% 1.06/1.21 % Problem : Hoare logic with procedures 242_1
% 1.06/1.21 % Version : Especial.
% 1.06/1.21 % English : Completeness is taken relative to completeness of the underlying
% 1.06/1.21 % logic. Two versions of completeness proof: nested single recursion
% 1.06/1.21 % and simultaneous recursion in call rule.
% 1.06/1.21
% 1.06/1.21 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.06/1.21 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.06/1.21 % Source : [Nip10]
% 1.06/1.21 % Names : Hoare-242_1 [Nip10]
% 1.06/1.21
% 1.06/1.21 % Status : Unsatisfiable
% 1.06/1.21 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0
% 1.06/1.21 % Syntax : Number of clauses : 1042 ( 200 unt; 148 nHn; 524 RR)
% 1.06/1.21 % Number of literals : 2561 ( 621 equ;1392 neg)
% 1.06/1.21 % Maximal clause size : 7 ( 2 avg)
% 1.06/1.21 % Maximal term depth : 10 ( 2 avg)
% 1.06/1.21 % Number of predicates : 51 ( 50 usr; 0 prp; 1-6 aty)
% 1.06/1.21 % Number of functors : 78 ( 78 usr; 17 con; 0-6 aty)
% 1.06/1.21 % Number of variables : 3603 ( 383 sgn)
% 1.06/1.21 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.06/1.21
% 1.06/1.21 % Comments :
% 1.06/1.21 %------------------------------------------------------------------------------
% 1.06/1.21 cnf(cls_min__max_Ole__infI1_0,axiom,
% 1.06/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_min__max_Ole__infE_1,axiom,
% 1.06/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_min__max_Ole__infE_0,axiom,
% 1.06/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_lower__semilattice_Oinf__absorb2_0,axiom,
% 1.06/1.21 ( hAPP(hAPP(V_inf,V_x),V_y) = V_y
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 1.06/1.21 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_lower__semilattice_Ole__iff__inf_1,axiom,
% 1.06/1.21 ( hAPP(hAPP(V_inf,V_x),V_y) != V_x
% 1.06/1.21 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y)) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_lower__semilattice_Ole__iff__inf_0,axiom,
% 1.06/1.21 ( hAPP(hAPP(V_inf,V_x),V_y) = V_x
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 1.06/1.21 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_Suc__inject_0,axiom,
% 1.06/1.21 ( c_Suc(V_x) != c_Suc(V_y)
% 1.06/1.21 | V_x = V_y ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_nat_Oinject_0,axiom,
% 1.06/1.21 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 1.06/1.21 | V_nat = V_nat_H ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_less__add__iff2_1,axiom,
% 1.06/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_less__add__iff2_0,axiom,
% 1.06/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_less__add__iff1_1,axiom,
% 1.06/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d)) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_less__add__iff1_0,axiom,
% 1.06/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.21 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d))
% 1.06/1.21 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 1.06/1.21
% 1.06/1.21 cnf(cls_setsum__Un__disjoint_0,axiom,
% 1.06/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 1.06/1.21 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.21 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.21 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.21 | c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_g,V_B,T_a,T_b)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__le__iff__disj_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_ab__semigroup__idem__mult__max_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omax(T_a),T_a) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_fun__upd__twist_0,axiom,
% 1.06/1.22 ( 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)
% 1.06/1.22 | V_a = V_c ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_le__max__iff__disj_2,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_le__max__iff__disj_1,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__supI2_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__supI1_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__supE_1,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Ole__supE_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__max__iff__disj_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__left__commute_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__assoc_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Int__assoc_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Int__left__commute_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_sup__max_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.22 | c_Lattices_Oupper__semilattice__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__less__iff__disj_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 1.06/1.22 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.22 | ~ class_Int_Onumber__ring(T_a)
% 1.06/1.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))
% 1.06/1.22 | V_y = V_z
% 1.06/1.22 | V_w = V_x ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 1.06/1.22 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.22 | ~ class_Int_Onumber__ring(T_a)
% 1.06/1.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))
% 1.06/1.22 | V_c = V_d
% 1.06/1.22 | V_a = V_b ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_diff__Suc__Suc_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(V_m)),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_neg__less__iff__less_1,axiom,
% 1.06/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_neg__less__iff__less_0,axiom,
% 1.06/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__SucE_0,axiom,
% 1.06/1.22 ( V_m = V_n
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__antisym_0,axiom,
% 1.06/1.22 ( V_m = V_n
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 1.06/1.22 ( V_n = V_m
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__eq__top__eq2_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a)
% 1.06/1.22 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__eq__top__eq1_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a)
% 1.06/1.22 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 1.06/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.22 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 1.06/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.22 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 1.06/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.22 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Diff__Int__distrib_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Diff__Int__distrib2_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__imp__diff__less_0,axiom,
% 1.06/1.22 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_j),V_n)),V_k))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_j),V_k)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_fun__upd__upd_0,axiom,
% 1.06/1.22 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) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__top__right_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_inf__top__left_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Int__UNIV__left_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Int__UNIV__right_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Diff__Int2_0,axiom,
% 1.06/1.22 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),V_B) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__le__not__le_2,axiom,
% 1.06/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_psubset__eq_1,axiom,
% 1.06/1.22 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_x),V_x)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_nat__less__le_1,axiom,
% 1.06/1.22 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__not__refl_0,axiom,
% 1.06/1.22 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_less__fun__def_2,axiom,
% 1.06/1.22 ( ~ class_HOL_Oord(T_b)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g))
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_order__less__le_1,axiom,
% 1.06/1.22 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_linorder__neq__iff_1,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_order__less__irrefl_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_sup__inf__absorb_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_min__max_Oinf__idem_0,axiom,
% 1.06/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.22 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_compl__eq__compl__iff_0,axiom,
% 1.06/1.22 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.22 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)
% 1.06/1.22 | V_x = V_y ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_neg__equal__iff__equal_0,axiom,
% 1.06/1.22 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.22 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 1.06/1.22 | V_a = V_b ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 1.06/1.22 ( 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)
% 1.06/1.22 | V_A = V_B ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_atLeastatMost__psubset__iff_6,axiom,
% 1.06/1.22 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.22 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_d))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.22 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 1.06/1.22
% 1.06/1.22 cnf(cls_atLeastatMost__psubset__iff_5,axiom,
% 1.06/1.23 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_a))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_ab__semigroup__idem__mult_Omult__left__idem_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_times,V_x),hAPP(hAPP(V_times,V_x),V_y)) = hAPP(hAPP(V_times,V_x),V_y)
% 1.06/1.23 | ~ c_OrderedGroup_Oab__semigroup__idem__mult(V_times,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_ab__semigroup__idem__mult_Omult__idem_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_times,V_x),V_x) = V_x
% 1.06/1.23 | ~ c_OrderedGroup_Oab__semigroup__idem__mult(V_times,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.23 | V_x = V_y ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | V_x = V_y
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__antisym_0,axiom,
% 1.06/1.23 ( V_m = V_n
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_nat__neq__iff_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.23 | V_m = V_n ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_nat__less__cases_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 1.06/1.23 | V_m = V_n
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_linorder__neqE__nat_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))
% 1.06/1.23 | V_x = V_y ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_linorder__neqE_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.23 | V_x = V_y ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_linorder__less__linear_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.23 | V_x = V_y
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | V_x = V_y
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Osup__idem_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_add__strict__mono_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_inf__sup__absorb_0,axiom,
% 1.06/1.23 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_less__infI2_0,axiom,
% 1.06/1.23 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_less__infI1_0,axiom,
% 1.06/1.23 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_y))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_psubset__eq_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_nat__less__le_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_less__fun__def_0,axiom,
% 1.06/1.23 ( ~ class_HOL_Oord(T_b)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_order__le__less_1,axiom,
% 1.06/1.23 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_order__less__imp__le_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_minus__add__cancel_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_add__cancel__end_1,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = V_y ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_setsum__Un_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 1.06/1.23 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b))),c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b))
% 1.06/1.23 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.23 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__infI2_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__le__iff__disj_1,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__le__iff__disj_2,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_ab__semigroup__idem__mult__min_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omin(T_a),T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__max__iff__disj_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_square__eq__iff_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b)
% 1.06/1.23 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 1.06/1.23 | V_a = V_b ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_diff__less__mono2_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_n)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_m)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_l))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_fold__image__def_0,axiom,
% 1.06/1.23 c_Finite__Set_Ofold__image(V_f,V_g,T_a,T_b) = c_Finite__Set_Ofold(c_COMBB(V_f,V_g,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Suc__diff__le_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__add__iff1_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__add__iff1_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__add__iff2_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__add__iff2_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_add__eq__inf__sup_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_less__eq__Suc__le_1,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_less__eq__Suc__le_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Suc__le__eq_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Suc__leI_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_psubset__card__mono_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(V_B,T_a)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.23 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__maxI2_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__maxI1_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__supI_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Osup__least_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_eq__add__iff1_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c) = V_d ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_eq__add__iff2_0,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 1.06/1.23 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_eq__add__iff2_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_lower__semilattice_Oinf__idem_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_inf,V_x),V_x) = V_x
% 1.06/1.23 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_lower__semilattice_Oinf__assoc_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_inf,hAPP(hAPP(V_inf,V_x),V_y)),V_z) = hAPP(hAPP(V_inf,V_x),hAPP(hAPP(V_inf,V_y),V_z))
% 1.06/1.23 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_lower__semilattice_Oinf__commute_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_inf,V_x),V_y) = hAPP(hAPP(V_inf,V_y),V_x)
% 1.06/1.23 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_lower__semilattice_Oinf__left__idem_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_inf,V_x),hAPP(hAPP(V_inf,V_x),V_y)) = hAPP(hAPP(V_inf,V_x),V_y)
% 1.06/1.23 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_lower__semilattice_Oinf__left__commute_0,axiom,
% 1.06/1.23 ( hAPP(hAPP(V_inf,V_x),hAPP(hAPP(V_inf,V_y),V_z)) = hAPP(hAPP(V_inf,V_y),hAPP(hAPP(V_inf,V_x),V_z))
% 1.06/1.23 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Compl__anti__mono_0,axiom,
% 1.06/1.23 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_le__imp__neg__le_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_neg__le__iff__le_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_setsum__Un__Int_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_g,V_B,T_a,T_b))
% 1.06/1.23 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.23 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Oinf__le1_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Oinf__le2_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__infI_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_eq__add__iff1_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Compl__disjoint2_0,axiom,
% 1.06/1.23 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_Compl__disjoint_0,axiom,
% 1.06/1.23 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_compl__inf__bot_0,axiom,
% 1.06/1.23 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_inf__compl__bot_0,axiom,
% 1.06/1.23 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.23 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__diff__distrib__left_0,axiom,
% 1.06/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_max__less__iff__conj_2,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_greaterThanAtMost__empty__iff_0,axiom,
% 1.06/1.23 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.23 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_greaterThanAtMost__empty__iff_1,axiom,
% 1.06/1.23 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.23 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_min__less__iff__conj_2,axiom,
% 1.06/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.23 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 1.06/1.23 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.23 | ~ class_Int_Onumber__ring(T_a)
% 1.06/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ).
% 1.06/1.23
% 1.06/1.23 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 1.06/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.23 | ~ class_Int_Onumber__ring(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__atLeastLessThan_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__add__cancel_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_ab__semigroup__idem__mult__sup_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.24 | c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__Un__distrib2_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__Un__distrib_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__distrib1_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__distrib2_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__Suc__eq__le_1,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__Suc__eq__le_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__less__Suc__eq_1,axiom,
% 1.06/1.24 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_x))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Omul__c_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__less__Suc_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)),c_Suc(V_m))) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__sup__distrib__left_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__sup__distrib__right_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__Inf__fold__inf_0,axiom,
% 1.06/1.24 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_B),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a),V_B),V_A)
% 1.06/1.24 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_order__less__trans_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_psubset__trans_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_xt1_I10_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) != V_y
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__cancel__21_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__cancel__21_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__min_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | c_Lattices_Olower__semilattice__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lessI_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_n))) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__Suc__eq_2,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__trans__Suc_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_i)),V_k))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_j),V_k))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__le__cancel__right_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__le__cancel__right_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__le__cancel__left_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__le__cancel__left_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__right__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__left__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_minus__mult__right_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.24 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_minus__mult__left_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.24 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__idem_0,axiom,
% 1.06/1.24 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__same_0,axiom,
% 1.06/1.24 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__triv_0,axiom,
% 1.06/1.24 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__apply_0,axiom,
% 1.06/1.24 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__idem__iff_1,axiom,
% 1.06/1.24 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oab__semigroup__idem__mult__inf_0,axiom,
% 1.06/1.24 ( c_OrderedGroup_Oab__semigroup__idem__mult(V_inf,T_a)
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oless__infI2_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less,hAPP(hAPP(V_inf,V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less,V_b),V_x))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oless__infI1_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less,hAPP(hAPP(V_inf,V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less,V_a),V_x))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__inf__iff_1,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_y),V_z)))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__inf__iff_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_y),V_z)))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__infE_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_a))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_a),V_b)))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__infE_1,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_a),V_b)))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__infI1_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(hAPP(V_inf,V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_x))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__infI2_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(hAPP(V_inf,V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_b),V_x))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_max__lattice_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Orderings_Oord__class_Omax(T_a),T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_mult__left__idem_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__greatest_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__inf__iff_2,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__infI_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__le2_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__le1_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__lower1_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__lower2_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__greatest_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__subset__iff_2,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_minus__mult__commute_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Suc__leD_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__SucI_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_Suc(V_n)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__Compl__def_0,axiom,
% 1.06/1.24 ( ~ class_HOL_Ouminus(T_b)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,T_b)),V_A),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(T_b),hAPP(V_A,v_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__minus__cancel_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_sup__inf__distrib2_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_sup__inf__distrib1_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Un__Int__distrib_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Un__Int__distrib2_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Suc__n__not__le__n_0,axiom,
% 1.06/1.24 ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_n)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__diff__iff_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__diff__iff_1,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__left__idem_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__left__absorb_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Suc__n__not__n_0,axiom,
% 1.06/1.24 c_Suc(V_n) != V_n ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_n__not__Suc__n_0,axiom,
% 1.06/1.24 V_n != c_Suc(V_n) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__idem_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__absorb_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_ivl__disj__int_I16_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__strict__right__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__less__cancel__right_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__less__cancel__right_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__strict__left__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__less__cancel__left_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__less__cancel__left_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__fun__eq_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olattice(T_b)
% 1.06/1.24 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_xt1_I7_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_xt1_I8_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__refl_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_n)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__trans_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_k))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_j),V_k))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_j)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_eq__imp__le_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_x),V_x)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_psubset__subset__trans_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_subset__psubset__trans_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_order__le__less__trans_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_order__less__le__trans_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__add__right__mono_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_k),V_l)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_ab__semigroup__idem__mult__inf_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__mono_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__Diff_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_mult__idem_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__less__Suc__eq_0,axiom,
% 1.06/1.24 ( V_n = V_m
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Suc__lessD_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__SucI_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_setsum__left__distrib_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),V_r) = c_Finite__Set_Osetsum(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a,T_a),V_r),V_A,T_b,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf1I_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(V_B,V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__apply_1,axiom,
% 1.06/1.24 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 1.06/1.24 | V_z = V_x ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_fun__upd__other_0,axiom,
% 1.06/1.24 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 1.06/1.24 | V_z = V_x ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_sup__eq__neg__inf_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__eqI_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__eqI_1,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_xt1_I11_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 1.06/1.24 | V_a = V_b
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_xt1_I12_J_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 1.06/1.24 | V_a = V_b ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_psubset__eq_2,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.24 | V_A = V_B
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_nat__less__le_2,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.24 | V_m = V_n
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) != V_x
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_max__diff__distrib__left_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_COMBC__def_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_not__leE_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__antisym__conv2_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__antisym__conv1_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__not__less_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__not__less_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__not__le_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_linorder__not__le_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__fun__def_1,axiom,
% 1.06/1.24 ( ~ class_HOL_Oord(T_b)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__le__not__le_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__inf__distrib__left_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_add__inf__distrib__right_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 1.06/1.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__le__mono2_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_n)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_m)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__le__mono_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_l)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_l)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__diff__iff_1,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__diff__iff_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_eq__diff__iff_0,axiom,
% 1.06/1.24 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m))
% 1.06/1.24 | V_m = V_n ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Diff__eq_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__eq_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_setsum__right__distrib_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_f,T_a,T_a,T_b),V_A,T_b,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__infI_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_a),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_b))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_a))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oinf__le2_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(hAPP(V_inf,V_x),V_y)),V_y))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oinf__le1_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(hAPP(V_inf,V_x),V_y)),V_x))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Ole__inf__iff_2,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_y),V_z)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_lower__semilattice_Oinf__greatest_0,axiom,
% 1.06/1.24 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(hAPP(V_inf,V_y),V_z)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 1.06/1.24 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__absorb2_0,axiom,
% 1.06/1.24 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__absorb1_0,axiom,
% 1.06/1.24 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__iff__inf_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_le__iff__inf_1,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__absorb2_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oless__supI1_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oless__supI2_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__max__iff__disj_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_less__max__iff__disj_2,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_max__less__iff__conj_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_max__less__iff__conj_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__commute_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__commute_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 1.06/1.24 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oinf__commute_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_combine__common__factor_0,axiom,
% 1.06/1.24 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.06/1.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__le__self_0,axiom,
% 1.06/1.24 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)),V_m)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Un__Int__crazy_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oless__infI1_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__max_Oless__infI2_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__less__iff__conj_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__less__iff__conj_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y))) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__less__iff__disj_1,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_min__less__iff__disj_2,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 1.06/1.24 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_k)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_n))
% 1.06/1.24 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_k),V_m)) ) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_diff__commute_0,axiom,
% 1.06/1.24 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),V_j)),V_k) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),V_k)),V_j) ).
% 1.06/1.24
% 1.06/1.24 cnf(cls_Int__atLeastAtMost_0,axiom,
% 1.06/1.24 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.24 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_diff__less__mono_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_a),V_c)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_b),V_c)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_c),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_vimage__Compl_0,axiom,
% 1.06/1.25 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)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__lessI_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n))
% 1.06/1.25 | c_Suc(V_m) = V_n
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__eq__eq_1,axiom,
% 1.06/1.25 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__eq__eq_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),V_m))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.25 | ~ class_Int_Onumber__ring(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 1.06/1.25 | V_y = V_z ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__imp__eq_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 1.06/1.25 | V_b = V_c ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__left__cancel_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 1.06/1.25 | V_b = V_c ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__right__cancel_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 1.06/1.25 | V_b = V_c ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__add__distrib__left_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_dual__semilattice_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__subset__iff_1,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__subset__iff_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__infE_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__infE_1,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__infI1_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__infI2_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__inf__iff_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__inf__iff_1,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__diff__diff_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(V_m)),V_n)),c_Suc(V_k)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)),V_k) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__ring_Osub__add_0,axiom,
% 1.06/1.25 ( ~ class_Int_Onumber__ring(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_diff__def_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_diff__minus_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ab__diff__minus_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__disj__int_I14_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__inf__le__inf_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a),V_b),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__eq__neg__sup_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__Int_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__inf_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_neg__inf__eq__sup_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Osup__commute_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__cancel__end_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != V_y
% 1.06/1.25 | V_x = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__Suc__eq_2,axiom,
% 1.06/1.25 hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_n))) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__psubset__iff_2,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_d))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__Un_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),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)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__eq__less__or__eq_0,axiom,
% 1.06/1.25 ( V_m = V_n
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__neq__implies__less_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.25 | V_m = V_n
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__le__less_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | V_x = V_y
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__less__le_2,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.25 | V_x = V_y
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 1.06/1.25 ( V_A = V_B
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__le__neq__trans_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.25 | V_a = V_b
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__neq__le__trans_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.25 | V_a = V_b ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_linorder__antisym__conv1_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | V_x = V_y
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_linorder__antisym__conv2_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | V_x = V_y
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__greaterThanAtMost_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__le__mono_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_m))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__le__mono_1,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(V_n)),c_Suc(V_m)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Omul__a_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Omul__d_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__add__distrib_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__add_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_xt1_I9_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_nat__le__linear_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_n),V_m))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__less__asym_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_order__less__asym_H_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Opreorder(T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__monoid__add_Ofold__image__insert_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 1.06/1.25 | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b),V_g,T_b,T_a),V_z),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_g,V_a)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b),V_g,T_b,T_a),V_z),V_A))
% 1.06/1.25 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__insert_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 1.06/1.25 | c_Finite__Set_Osetsum(V_f,c_Set_Oinsert(V_a,V_F,T_a),T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetsum(V_f,V_F,T_a,T_b))
% 1.06/1.25 | hBOOL(c_in(V_a,V_F,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__image__insert_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_b)
% 1.06/1.25 | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,T_a),V_z),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),hAPP(V_g,V_a)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,T_a),V_z),V_A))
% 1.06/1.25 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__unique_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != c_Orderings_Otop__class_Otop(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != c_Orderings_Obot__class_Obot(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__psubset_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(V_B,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__diff__nat_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,tc_nat) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)),c_Finite__Set_Osetsum(V_f,V_B,T_a,tc_nat))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__Diff__subset__Int_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ab__semigroup__idem__mult_Ofold1__eq__fold__idem_0,axiom,
% 1.06/1.25 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(V_times,T_a,T_a),V_a),V_A)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | ~ c_OrderedGroup_Oab__semigroup__idem__mult(V_times,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold1__eq__fold__idem_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a),T_a,T_a),V_a),V_A)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Inf__fold__inf_0,axiom,
% 1.06/1.25 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.06/1.25 | c_Complete__Lattice_OInf__class_OInf(V_A,T_a) = hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a),c_Orderings_Otop__class_Otop(T_a)),V_A)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 1.06/1.25 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_greaterThanAtMost__empty_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastLessThan__empty_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph_OinsertI_0,axiom,
% 1.06/1.25 ( 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)
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)
% 1.06/1.25 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__insert__left_1,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)
% 1.06/1.25 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__insert__right_1,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)
% 1.06/1.25 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubset__insert__iff_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubset__insert__iff_6,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__insert__left_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a)
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__insert__right_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_distrib__inf__le_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_distrib__sup__le_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fun__upd__image_1,axiom,
% 1.06/1.25 ( 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)
% 1.06/1.25 | hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__psubset__iff_1,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__psubset__iff_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__psubset__iff_3,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__psubset__iff_4,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__disj__un_I20_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_subset__Compl__self__eq_1,axiom,
% 1.06/1.25 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))))) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_subset__Compl__self__eq_0,axiom,
% 1.06/1.25 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__monoid__add_Ofold__graph__permute__diff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.25 | c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_a,c_Set_Oinsert(V_b,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a),V_x,T_a,T_a)
% 1.06/1.25 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_b,V_A,V_x,T_a,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__diff1__nat_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,tc_nat) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)),hAPP(V_f,V_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph__permute__diff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.25 | c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_a,c_Set_Oinsert(V_b,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a),V_x,T_a,T_a)
% 1.06/1.25 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_b,V_A,V_x,T_a,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_the__inv__into__f__f_0,axiom,
% 1.06/1.25 ( hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_the__inv__into__f__eq_0,axiom,
% 1.06/1.25 ( ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
% 1.06/1.25 | hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_aa)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__diff_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_atLeastatMost__empty_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.25 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__top__eq_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__bot__eq_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_strict__below__fold1__iff_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_xa))
% 1.06/1.25 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A)))
% 1.06/1.25 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold1__strict__below__iff_2,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A)),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_xa),V_x))
% 1.06/1.25 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.25 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_finite__compl_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_finite__compl_1,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__UNIV__eq_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__empty__eq_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold1__eq__fold_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a),T_a,T_a),V_a),V_A)
% 1.06/1.25 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__monoid__add_Ofold1__eq__fold_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(T_a),T_a,T_a),V_a),V_A)
% 1.06/1.25 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_image__Int__subset_0,axiom,
% 1.06/1.25 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)))) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__compl__top_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__sup__top_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__disjoint_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__triv_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__monoid__add_Ofold1__Un_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.25 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold1__Un_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.25 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__partition_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__partition2_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)),V_A) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inj__on__the__inv__into_0,axiom,
% 1.06/1.25 ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_the__inv__into__onto_0,axiom,
% 1.06/1.25 ( c_Set_Oimage(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__Diff__eq_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)),V_B) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Diff__Int_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__Un_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__Int_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_the__inv__f__f_0,axiom,
% 1.06/1.25 ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 1.06/1.25 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_A) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Inf__insert_0,axiom,
% 1.06/1.25 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.06/1.25 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Max__def__raw_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | c_Finite__Set_Olinorder__class_OMax(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(T_a),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_linorder__class_OMin__def__raw_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | c_Finite__Set_Olinorder__class_OMin(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_compl__sup_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_neg__sup__eq__inf_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_diff__diff__cancel_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_i)) = V_i
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_i),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__SucE_0,axiom,
% 1.06/1.25 ( V_m = c_Suc(V_n)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),V_n))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),V_m),c_Suc(V_n))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__eq_1,axiom,
% 1.06/1.25 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__less__eq_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_max__add__distrib__left_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__Compl_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_square__eq__iff_1,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Osup__assoc_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__mult__minus_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_diff__minus__eq__add_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf1E_1,axiom,
% 1.06/1.25 ( hBOOL(hAPP(V_B,V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf1E_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(V_A,V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fun__upd__idem__iff_0,axiom,
% 1.06/1.25 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 1.06/1.25 | hAPP(V_f,V_x) = V_y ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 1.06/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__negf_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | 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)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__diff__cancel_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_double__complement_0,axiom,
% 1.06/1.25 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 ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__minus_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_double__compl_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_equation__minus__iff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_equation__minus__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__equation__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_less__supI1_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_less__supI2_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__diff__eq_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__le__less__mono_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_add__less__le__mono_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_vimage__Int_0,axiom,
% 1.06/1.25 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_x)),c_Suc(V_n)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__less__eq_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Suc__mono_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__minus__iff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__minus__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__le__iff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__le__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_less__minus__iff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_less__minus__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__less__iff_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_minus__less__iff_1,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__iff_2,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_IntI_0,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ComplI_0,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a))
% 1.06/1.25 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ComplD_0,axiom,
% 1.06/1.25 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubsetD_0,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_IntE_1,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_IntE_0,axiom,
% 1.06/1.25 ( hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_lower__semilattice_Ofold__inf__le__inf_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(hAPP(c_Finite__Set_Ofold(V_inf,T_a,T_a),V_b),V_A)),hAPP(hAPP(V_inf,V_a),V_b)))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph__insert__swap_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.25 | c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_z,c_Set_Oinsert(V_b,V_A,T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),T_a,T_a)
% 1.06/1.25 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_b,V_A,V_y,T_a,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_comm__monoid__add_Ofold__graph__insert__swap_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.25 | c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_z,c_Set_Oinsert(V_b,V_A,T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),V_y),T_a,T_a)
% 1.06/1.25 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_b,V_A,V_y,T_a,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph__imp__finite_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_finite__Int_1,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_finite__Int_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__bot__left_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__bot__right_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__image__empty_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Finite__Set_Ofold__image(V_f,V_g,T_a,T_b),V_z),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = V_z ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__empty_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Finite__Set_Ofold(V_f,T_b,T_a),V_z),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = V_z ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_not__psubset__empty_0,axiom,
% 1.06/1.25 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_empty__fold__graphE_0,axiom,
% 1.06/1.25 ( V_x = V_z
% 1.06/1.25 | ~ 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) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__empty__right_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Int__empty__left_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph_OemptyI_0,axiom,
% 1.06/1.25 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) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
% 1.06/1.25 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) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__addf_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.25 | c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a),V_A,T_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__inf__insert_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a),V_b),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a),V_b),V_A))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_lower__semilattice_Ofold__inf__insert_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Finite__Set_Ofold(V_inf,T_a,T_a),V_b),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(hAPP(c_Finite__Set_Ofold(V_inf,T_a,T_a),V_b),V_A))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_insert__inter__insert_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__diff1_H_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 1.06/1.25 | c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_setsum__subtractf_0,axiom,
% 1.06/1.25 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.25 | c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a),V_A,T_b,T_a) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubset__insert__iff_7,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubset__insert__iff_3,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_psubset__insert__iff_2,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fold__sup__insert_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a),V_b),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a),V_b),V_A))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ivl__disj__un_I22_J_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inj__on__fun__updI_0,axiom,
% 1.06/1.25 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 1.06/1.25 | hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_f__the__inv__into__f_0,axiom,
% 1.06/1.25 ( hAPP(V_f,hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_y)) = V_y
% 1.06/1.25 | ~ hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__insert__le_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__seteq_0,axiom,
% 1.06/1.25 ( V_A = V_B
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(V_B,T_a)),c_Finite__Set_Ocard(V_A,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__mono_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(V_B,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_lower__semilattice_Ofold1__belowI_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(c_Finite__Set_Ofold1(V_inf,T_a),V_A)),V_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.25 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__image__le_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)),c_Finite__Set_Ocard(V_A,T_a)))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inj__on__image__Int_0,axiom,
% 1.06/1.25 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_image__Int_0,axiom,
% 1.06/1.25 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Inf__binary_0,axiom,
% 1.06/1.25 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.06/1.25 | 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) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_image__vimage__eq_0,axiom,
% 1.06/1.25 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Min__eqI_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A) = V_x
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A,V_x,T_a),V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Max__eqI_0,axiom,
% 1.06/1.25 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.25 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A) = V_x
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A,V_x,T_a),V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ofold__graph(V_times,V_z,c_Set_Oinsert(V_b,V_A,T_a),hAPP(hAPP(V_times,V_z),V_y),T_a,T_a)
% 1.06/1.25 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_y,T_a,T_a)
% 1.06/1.25 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_COMBC__def__raw_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__le__fold__sup_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a),V_b),V_A)))
% 1.06/1.25 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inj__on__Un_0,axiom,
% 1.06/1.25 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inj__on__Un_1,axiom,
% 1.06/1.25 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_vimage__Un_0,axiom,
% 1.06/1.25 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__left__idem_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__left__absorb_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__commute_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__commute_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Diff_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_fun__diff__def_0,axiom,
% 1.06/1.25 ( ~ class_HOL_Ominus(T_b)
% 1.06/1.25 | hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,T_b)),V_A),V_B),v_x) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(V_A,v_x)),hAPP(V_B,v_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Diff__cancel_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__Diff__cancel2_0,axiom,
% 1.06/1.25 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
% 1.06/1.25 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 1.06/1.25 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_vimage__mono_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Ovimage(V_f,V_A,T_b,T_a)),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_image__set__diff_0,axiom,
% 1.06/1.25 ( c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 1.06/1.25 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__subset_0,axiom,
% 1.06/1.25 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Diff__partition_0,axiom,
% 1.06/1.25 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = V_B
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__sup__iff_2,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__least_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__ge2_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_sup__ge1_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_le__supI_0,axiom,
% 1.06/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.25 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__least_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.25 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_Un__upper1_0,axiom,
% 1.06/1.25 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__Diff2__less_0,axiom,
% 1.06/1.25 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)),c_Finite__Set_Ocard(V_A,T_a)))
% 1.06/1.25 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.06/1.25 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.25
% 1.06/1.25 cnf(cls_card__Diff1__less_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)),c_Finite__Set_Ocard(V_A,T_a)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__Suc__Diff1_0,axiom,
% 1.06/1.26 ( c_Suc(c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)) = c_Finite__Set_Ocard(V_A,T_a)
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_setsum__diff1_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 1.06/1.26 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),hAPP(V_f,V_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_setsum__diff1__ring_0,axiom,
% 1.06/1.26 ( ~ class_Ring__and__Field_Oring(T_b)
% 1.06/1.26 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),hAPP(V_f,V_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Ofold1(V_times,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(V_times,hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A)),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Ofold1__eq__fold_0,axiom,
% 1.06/1.26 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Finite__Set_Ofold(V_times,T_a,T_a),V_a),V_A)
% 1.06/1.26 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofold__graph(V_times,V_a,c_Set_Oinsert(V_b,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a),V_x,T_a,T_a)
% 1.06/1.26 | hBOOL(c_in(V_b,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_x,T_a,T_a)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__Un_2,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__Un_3,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__inj__on__le_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(V_B,T_b)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_b)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),V_B))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__insert_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__Diff1__le_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a)),c_Finite__Set_Ocard(V_A,T_a)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__antimono_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_B)),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__insert_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_comm__monoid__add_Ofold1__insert_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_A))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fun__upd__image_0,axiom,
% 1.06/1.26 ( 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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)),T_b,T_a),T_a)
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_psubset__insert__iff_5,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ivl__disj__un_I5_J_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__below__iff_2,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A)),V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_xa),V_x))
% 1.06/1.26 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_below__fold1__iff_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_xa))
% 1.06/1.26 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a),V_A)))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_setsum__diff1_1,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 1.06/1.26 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b) = c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)
% 1.06/1.26 | hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_escape_1,axiom,
% 1.06/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.06/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),V_c),c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Min__Un_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A)),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_B))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Max__Un_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A)),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_B))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Max__insert_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Min__insert_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Ofold__image__insert_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Finite__Set_Ofold__image(V_times,V_g,T_a,T_b),V_z),c_Set_Oinsert(V_a,V_A,T_b)) = hAPP(hAPP(V_times,hAPP(V_g,V_a)),hAPP(hAPP(c_Finite__Set_Ofold__image(V_times,V_g,T_a,T_b),V_z),V_A))
% 1.06/1.26 | hBOOL(c_in(V_a,V_A,T_b))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_b)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Max__eqI_1,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A) = V_x
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A,V_x,T_a)),V_x))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Min__eqI_1,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A) = V_x
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A,V_x,T_a)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__Compl__subset_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a,T_b)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b))))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__idem__mult_Ofold1__Un2_0,axiom,
% 1.06/1.26 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(V_times,hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A)),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_B))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__idem__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__Un2_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_B))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__Diff__subset_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Ocard(V_A,T_a)),c_Finite__Set_Ocard(V_B,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__idem__mult_Ofold1__insert__idem_0,axiom,
% 1.06/1.26 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(V_times,V_x),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__idem__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__insert__idem_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_range__ex1__eq_2,axiom,
% 1.06/1.26 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 1.06/1.26 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a))
% 1.06/1.26 | hAPP(V_f,V_x) = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__transfer_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(V_P,V_x))
% 1.06/1.26 | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_range__ex1__eq_3,axiom,
% 1.06/1.26 ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa) != V_x
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 1.06/1.26 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_range__ex1__eq_0,axiom,
% 1.06/1.26 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(V_b,V_f,T_b,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_range__ex1__eq_1,axiom,
% 1.06/1.26 ( ~ hBOOL(c_in(hAPP(V_f,V_y),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 1.06/1.26 | V_y = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_psubset__insert__iff_9,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_lower__semilattice_Obelow__fold1__iff_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_xa))
% 1.06/1.26 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(c_Finite__Set_Ofold1(V_inf,T_a),V_A)))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_Lattices_Olower__semilattice(V_less__eq,V_less,V_inf,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_the__inv__into__into_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_x),V_B,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_setsum__diff_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 1.06/1.26 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold1__belowI_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a),V_A)),V_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
% 1.06/1.26 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 1.06/1.26 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b)
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_psubset__insert__iff_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_psubset__insert__iff_4,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_psubset__insert__iff_8,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_setsum__diff1__nat_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)
% 1.06/1.26 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff1__fold__graph_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__Suc__eq_5,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
% 1.06/1.26 | c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__insert__if_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__subsetI_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_B,T_a,T_b)),V_A))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__subset__conv_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__subset__conv_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_le__funD_0,axiom,
% 1.06/1.26 ( ~ class_HOL_Oord(T_b)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__iff_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_t,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_set__rev__mp_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subsetD_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_set__mp_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_UnCI_1,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_UnCI_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_UnE_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.26 | hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_UNIV__I_0,axiom,
% 1.06/1.26 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_DiffE_1,axiom,
% 1.06/1.26 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_DiffE_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__contraD_0,axiom,
% 1.06/1.26 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.06/1.26 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | V_x = V_y
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__iff_0,axiom,
% 1.06/1.26 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.06/1.26 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | V_x = V_y ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__def_0,axiom,
% 1.06/1.26 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 1.06/1.26 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | V_x = V_xa ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__onD_0,axiom,
% 1.06/1.26 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | V_x = V_y
% 1.06/1.26 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__iff_2,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.26 | hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_DiffI_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 1.06/1.26 | hBOOL(c_in(V_c,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__eq_1,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 1.06/1.26 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimageI2_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 1.06/1.26 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimageI_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 1.06/1.26 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimageE_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimageD_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Max__ge_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Min__le_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A)),V_x))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__const_1,axiom,
% 1.06/1.26 ( 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))
% 1.06/1.26 | hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_rev__finite__subset_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__subset_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__UNIV_0,axiom,
% 1.06/1.26 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 1.06/1.26 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Un_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(V_G,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Un_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(V_F,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__UnI_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Un_2,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Diff2_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Diff2_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Diff_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__bot__left_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__bot__right_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_bot__least_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Obot(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__mem__iff_1,axiom,
% 1.06/1.26 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.06/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__mem__iff_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_a,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__empty_0,axiom,
% 1.06/1.26 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)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__empty_2,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__empty_1,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__empty_0,axiom,
% 1.06/1.26 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_UNIV__not__empty_0,axiom,
% 1.06/1.26 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_empty__Diff_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__empty__right_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__empty__left_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__cancel_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__empty_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_empty__subsetI_0,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__empty_0,axiom,
% 1.06/1.26 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__empty_1,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__empty_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__insert_0,axiom,
% 1.06/1.26 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert__iff_4,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__iff__eq__card_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_eq__card__imp__inj__on_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) != c_Finite__Set_Ocard(V_A,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_endo__inj__surj_0,axiom,
% 1.06/1.26 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_a)),V_A))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__surj__inj_0,axiom,
% 1.06/1.26 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,V_A,T_a,T_a)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__mono_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insertI_0,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__insert__right_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__insert__left_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insertI2_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__subset_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__insert_0,axiom,
% 1.06/1.26 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_image__Un_0,axiom,
% 1.06/1.26 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__image__iff_2,axiom,
% 1.06/1.26 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_x),V_A))
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_image__mono_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_diff__single__insert_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert__iff_3,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert__iff_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__subset_2,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__Diff1_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__subset_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert__iff_2,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert__iff_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__insert_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_insert__Diff__if_1,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B) = c_Set_Oinsert(V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.26 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_card__Diff__singleton__if_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
% 1.06/1.26 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(V_times,V_x),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A))
% 1.06/1.26 | hBOOL(c_in(V_x,V_A,T_a))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_image__subset__iff_0,axiom,
% 1.06/1.26 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 1.06/1.26 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_rangeI_0,axiom,
% 1.06/1.26 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__insert_2,axiom,
% 1.06/1.26 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 1.06/1.26 | hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__insert_1,axiom,
% 1.06/1.26 ( ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b),T_b))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_range__composition_0,axiom,
% 1.06/1.26 c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Diff__insert_1,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__Diff__insert_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)),T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_subset__singletonD_0,axiom,
% 1.06/1.26 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 1.06/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 1.06/1.26 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Min__singleton_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__insert2_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__insert_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__upper2_0,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__subset__iff_2,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Olattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__left__commute_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__assoc_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__assoc_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__left__commute_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_image__diff__subset_0,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a))),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a))) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Max__mono_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_M)),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_N)))
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 1.06/1.26 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_eq__eqI_0,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.26 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 1.06/1.26 | V_x_H = V_y_H ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_eq__eqI_1,axiom,
% 1.06/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.06/1.26 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)
% 1.06/1.26 | V_xa = V_y ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__idemp_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_COMBK__def_0,axiom,
% 1.06/1.26 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__idem_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__absorb_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_finite__vimageI_0,axiom,
% 1.06/1.26 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 1.06/1.26 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__fun__eq_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Olattice(T_b)
% 1.06/1.26 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__subset__iff_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__subset__iff_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__diff_0,axiom,
% 1.06/1.26 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__Diff_0,axiom,
% 1.06/1.26 c_Set_Ovimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_image__vimage__subset_0,axiom,
% 1.06/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)),V_A)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__vimage__image__eq_0,axiom,
% 1.06/1.26 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_com_Osimps_I3_J_1,axiom,
% 1.06/1.26 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 1.06/1.26 | V_com2 = V_com2_H ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_com_Osimps_I3_J_0,axiom,
% 1.06/1.26 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 1.06/1.26 | V_com1 = V_com1_H ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_vimage__UNIV_0,axiom,
% 1.06/1.26 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__top__right_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__top__left_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__UNIV__left_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__UNIV__right_0,axiom,
% 1.06/1.26 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 1.06/1.26 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
% 1.06/1.26 | V_A = V_B ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c)) = hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(V_times,V_a),V_b) = hAPP(hAPP(V_times,V_b),V_a)
% 1.06/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_injD_0,axiom,
% 1.06/1.26 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 1.06/1.26 | V_x = V_y ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup1E_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(V_B,V_x))
% 1.06/1.26 | hBOOL(hAPP(V_A,V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup1CI_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup1CI_1,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_inj__image__eq__iff_0,axiom,
% 1.06/1.26 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 1.06/1.26 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 1.06/1.26 | V_A = V_B ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Diff__mono_0,axiom,
% 1.06/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_D)))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Inf__UNIV_0,axiom,
% 1.06/1.26 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.06/1.26 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_top1I_0,axiom,
% 1.06/1.26 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_top__fun__eq_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Otop(T_b)
% 1.06/1.26 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_equalityI_0,axiom,
% 1.06/1.26 ( V_A = V_B
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_set__eq__subset_2,axiom,
% 1.06/1.26 ( V_A = V_B
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_order__eq__iff_2,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | V_x = V_y
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_order__antisym_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | V_x = V_y
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_order__antisym__conv_0,axiom,
% 1.06/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.06/1.26 | V_x = V_y
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_sup__absorb1_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_le__iff__sup_1,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y
% 1.06/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_le__iff__sup_0,axiom,
% 1.06/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.06/1.26 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__absorb1_0,axiom,
% 1.06/1.26 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 1.06/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.06/1.26
% 1.06/1.26 cnf(cls_Un__absorb2_0,axiom,
% 1.23/1.26 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_subset__Un__eq_1,axiom,
% 1.23/1.26 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Min__antimono_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_N)),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_M)))
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 1.23/1.26 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Inf__lower_0,axiom,
% 1.23/1.26 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)),V_x))
% 1.23/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_card__bij__eq_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b)
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_B,T_b)
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_g,V_B,T_b,T_a)),V_A))
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),V_B))
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Diff__UNIV_0,axiom,
% 1.23/1.26 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Un__mono_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_subset__UNIV_0,axiom,
% 1.23/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_top__greatest_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Otop(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_com_Osimps_I13_J_0,axiom,
% 1.23/1.26 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Inf__empty_0,axiom,
% 1.23/1.26 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.23/1.26 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__sup__iff_1,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__sup__iff_0,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__supI2_0,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__supI1_0,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__supE_1,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__supE_0,axiom,
% 1.23/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Un__subset__iff_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Un__subset__iff_1,axiom,
% 1.23/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_xt1_I6_J_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_order__trans_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Opreorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_equalityE_0,axiom,
% 1.23/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_subset__refl_0,axiom,
% 1.23/1.26 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_subset__trans_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_subset__inj__on_0,axiom,
% 1.23/1.26 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_predicate1D_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(V_Q,V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(V_P,V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_order__eq__iff_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_order__eq__refl_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Opreorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_rev__predicate1D_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(V_Q,V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 1.23/1.26 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_inj__on__image__set__diff_0,axiom,
% 1.23/1.26 ( c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_vimage__code_0,axiom,
% 1.23/1.26 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 1.23/1.26 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_vimage__code_1,axiom,
% 1.23/1.26 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_card__image_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_vimage__const_0,axiom,
% 1.23/1.26 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 1.23/1.26 | ~ hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_double__diff_0,axiom,
% 1.23/1.26 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_A)) = V_A
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__eqI_0,axiom,
% 1.23/1.26 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.23/1.26 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_le__eqI_1,axiom,
% 1.23/1.26 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.23/1.26 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_com_Osimps_I12_J_0,axiom,
% 1.23/1.26 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_linorder__linear_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 1.23/1.26 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 1.23/1.26 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 1.23/1.26 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_fold1__singleton_0,axiom,
% 1.23/1.26 hAPP(c_Finite__Set_Ofold1(V_f,T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Max__singleton_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.23/1.26 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_insert__Diff__single_0,axiom,
% 1.23/1.26 c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Oorder(T_a)
% 1.23/1.26 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_insert__is__Un_0,axiom,
% 1.23/1.26 c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Inf__singleton_0,axiom,
% 1.23/1.26 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.23/1.26 | 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 ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_finite__imageD_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ofinite(V_A,T_b)
% 1.23/1.26 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_finite__surj_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ofinite(V_B,T_b)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_image__constant__conv_0,axiom,
% 1.23/1.26 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)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq_1,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq12_1,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq2_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq12_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq1_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq_2,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq1_1,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq12_2,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_conseq2_1,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_escape_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 1.23/1.26 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_COMBK__def__raw_0,axiom,
% 1.23/1.26 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Min__in_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.23/1.26 | hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A),V_A,T_a))
% 1.23/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Max__in_0,axiom,
% 1.23/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 1.23/1.26 | hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A),V_A,T_a))
% 1.23/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_card__insert__if_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 1.23/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_insert__Diff_0,axiom,
% 1.23/1.26 ( c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a) = V_A
% 1.23/1.26 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_vimage__singleton__eq_0,axiom,
% 1.23/1.26 ( hAPP(V_f,V_a) = V_b
% 1.23/1.26 | ~ hBOOL(c_in(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),T_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_vimage__singleton__eq_1,axiom,
% 1.23/1.26 hBOOL(c_in(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),T_aa)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
% 1.23/1.26 ( c_Set_Oinsert(V_x,V_xa,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 1.23/1.26 | hBOOL(c_in(V_x,V_xa,T_b))
% 1.23/1.26 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Diff__insert__absorb_0,axiom,
% 1.23/1.26 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),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)) = V_A
% 1.23/1.26 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_finite__range__imageI_0,axiom,
% 1.23/1.26 ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)
% 1.23/1.26 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_image__constant__conv_1,axiom,
% 1.23/1.26 ( 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)
% 1.23/1.26 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_COMBB__def__raw_0,axiom,
% 1.23/1.26 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_COMBS__def__raw_0,axiom,
% 1.23/1.26 hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_image__constant_0,axiom,
% 1.23/1.26 ( 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)
% 1.23/1.26 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 1.23/1.26 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_Comp_0,axiom,
% 1.23/1.26 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSemi(V_c,V_d)),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q),V_d),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 1.23/1.26 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 1.23/1.26
% 1.23/1.26 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_derivs__insertD_1,axiom,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_singleton__iff_1,axiom,
% 1.23/1.27 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__is__empty_0,axiom,
% 1.23/1.27 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__iff_2,axiom,
% 1.23/1.27 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 1.23/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insertCI_0,axiom,
% 1.23/1.27 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 1.23/1.27 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__image_0,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__code_1,axiom,
% 1.23/1.27 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__insert_0,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_cut_0,axiom,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ex__in__conv_0,axiom,
% 1.23/1.27 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ball__empty_0,axiom,
% 1.23/1.27 ( hBOOL(hAPP(V_P,V_x))
% 1.23/1.27 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_empty__iff_0,axiom,
% 1.23/1.27 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_emptyE_0,axiom,
% 1.23/1.27 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_empty__not__insert_0,axiom,
% 1.23/1.27 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_triple_Oinject_2,axiom,
% 1.23/1.27 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 1.23/1.27 | V_fun2 = V_fun2_H ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_triple_Oinject_1,axiom,
% 1.23/1.27 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 1.23/1.27 | V_com = V_com_H ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_triple_Oinject_0,axiom,
% 1.23/1.27 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 1.23/1.27 | V_fun1 = V_fun1_H ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_bot__empty__eq_0,axiom,
% 1.23/1.27 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_doubleton__eq__iff_3,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | V_b = V_c
% 1.23/1.27 | V_b = V_d ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_doubleton__eq__iff_2,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | V_a = V_d
% 1.23/1.27 | V_b = V_d ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_doubleton__eq__iff_1,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | V_b = V_c
% 1.23/1.27 | V_a = V_c ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_doubleton__eq__iff_0,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | V_a = V_d
% 1.23/1.27 | V_a = V_c ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_finite__imageI_0,axiom,
% 1.23/1.27 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 1.23/1.27 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insertE_0,axiom,
% 1.23/1.27 ( hBOOL(c_in(V_a,V_A,T_a))
% 1.23/1.27 | V_a = V_b
% 1.23/1.27 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_bot1E_0,axiom,
% 1.23/1.27 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_empty_0,axiom,
% 1.23/1.27 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_finite_OemptyI_0,axiom,
% 1.23/1.27 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_finite__insert_1,axiom,
% 1.23/1.27 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 1.23/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_finite__insert_0,axiom,
% 1.23/1.27 ( c_Finite__Set_Ofinite(V_A,T_a)
% 1.23/1.27 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__code_0,axiom,
% 1.23/1.27 ( hBOOL(hAPP(V_A,V_x))
% 1.23/1.27 | V_y = V_x
% 1.23/1.27 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__absorb2_0,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__not__empty_0,axiom,
% 1.23/1.27 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_empty__is__image_0,axiom,
% 1.23/1.27 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 1.23/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_bot__fun__eq_0,axiom,
% 1.23/1.27 ( ~ class_Orderings_Obot(T_b)
% 1.23/1.27 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_singletonE_0,axiom,
% 1.23/1.27 ( V_b = V_a
% 1.23/1.27 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__iff_1,axiom,
% 1.23/1.27 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insertI1_0,axiom,
% 1.23/1.27 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insertCI_1,axiom,
% 1.23/1.27 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__commute_0,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_mem__def_1,axiom,
% 1.23/1.27 ( hBOOL(c_in(V_x,V_S,T_a))
% 1.23/1.27 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_mem__def_0,axiom,
% 1.23/1.27 ( hBOOL(hAPP(V_S,V_x))
% 1.23/1.27 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_COMBB__def_0,axiom,
% 1.23/1.27 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_COMBS__def_0,axiom,
% 1.23/1.27 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_doubleton__eq__iff_4,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__empty_0,axiom,
% 1.23/1.27 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)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_singleton__inject_0,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | V_a = V_b ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_bex__empty_0,axiom,
% 1.23/1.27 ( ~ hBOOL(hAPP(V_P,V_x))
% 1.23/1.27 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 1.23/1.27 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.23/1.27 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_derivs__insertD_0,axiom,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__code_2,axiom,
% 1.23/1.27 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 1.23/1.27 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__image_0,axiom,
% 1.23/1.27 ( 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)
% 1.23/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__ident_0,axiom,
% 1.23/1.27 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 1.23/1.27 | hBOOL(c_in(V_x,V_B,T_a))
% 1.23/1.27 | hBOOL(c_in(V_x,V_A,T_a))
% 1.23/1.27 | V_A = V_B ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_insert__absorb_0,axiom,
% 1.23/1.27 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 1.23/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_empty__is__image_1,axiom,
% 1.23/1.27 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) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_finite_0,axiom,
% 1.23/1.27 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 1.23/1.27 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_rev__image__eqI_0,axiom,
% 1.23/1.27 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 1.23/1.27 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__iff_2,axiom,
% 1.23/1.27 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.23/1.27 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_image__eqI_0,axiom,
% 1.23/1.27 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 1.23/1.27 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_imageI_0,axiom,
% 1.23/1.27 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.23/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_0,negated_conjecture,
% 1.23/1.27 c_Finite__Set_Ofinite(v_F,t_a) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_1,negated_conjecture,
% 1.23/1.27 ~ hBOOL(c_in(v_x,v_F,t_a)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_2,negated_conjecture,
% 1.23/1.27 c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_3,negated_conjecture,
% 1.23/1.27 c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_4,negated_conjecture,
% 1.23/1.27 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_5,negated_conjecture,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,V_p)),hAPP(v_c0,V_p)),hAPP(v_Q,V_p)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,V_p)),hAPP(v_c0,V_p)),hAPP(v_Q_H,V_p)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_conjecture_6,negated_conjecture,
% 1.23/1.27 ( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 1.23/1.27 | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 1.23/1.27 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 1.23/1.27 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 1.23/1.27 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 1.23/1.27 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 1.23/1.27 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 1.23/1.27 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 1.23/1.27 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 1.23/1.27 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 1.23/1.27 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Orderings_Opreorder(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 1.23/1.27 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 1.23/1.27 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Orderings_Oorder(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Orderings_Otop,axiom,
% 1.23/1.27 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Orderings_Otop(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__Orderings_Obot,axiom,
% 1.23/1.27 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_Orderings_Obot(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 1.23/1.27 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_HOL_Ouminus(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__HOL_Ominus,axiom,
% 1.23/1.27 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_HOL_Ominus(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_fun__HOL_Oord,axiom,
% 1.23/1.27 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 1.23/1.27 | ~ class_HOL_Oord(T_1) ) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.23/1.27 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.23/1.27 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.23/1.27 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.23/1.27 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.23/1.27 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.23/1.27 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.23/1.27 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.23/1.27 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 1.23/1.27 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.23/1.27 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 1.23/1.27 class_Lattices_Oupper__semilattice(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 1.23/1.27 class_Lattices_Olower__semilattice(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 1.23/1.27 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 1.23/1.27 class_Lattices_Odistrib__lattice(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 1.23/1.27 class_Ring__and__Field_Osemiring(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.23/1.27 class_Orderings_Opreorder(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.23/1.27 class_Orderings_Olinorder(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 1.23/1.27 class_Lattices_Olattice(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.23/1.27 class_Orderings_Oorder(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__Orderings_Obot,axiom,
% 1.23/1.27 class_Orderings_Obot(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__HOL_Ominus,axiom,
% 1.23/1.27 class_HOL_Ominus(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_nat__HOL_Oord,axiom,
% 1.23/1.27 class_HOL_Oord(tc_nat) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 1.23/1.27 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 1.23/1.27 class_Lattices_Oupper__semilattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 1.23/1.27 class_Lattices_Olower__semilattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 1.23/1.27 class_Lattices_Odistrib__lattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 1.23/1.27 class_Lattices_Obounded__lattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 1.23/1.27 class_Lattices_Oboolean__algebra(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 1.23/1.27 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 1.23/1.27 class_Orderings_Opreorder(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 1.23/1.27 class_Lattices_Olattice(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 1.23/1.27 class_Orderings_Oorder(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Orderings_Otop,axiom,
% 1.23/1.27 class_Orderings_Otop(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__Orderings_Obot,axiom,
% 1.23/1.27 class_Orderings_Obot(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 1.23/1.27 class_HOL_Ouminus(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__HOL_Ominus,axiom,
% 1.23/1.27 class_HOL_Ominus(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(clsarity_bool__HOL_Oord,axiom,
% 1.23/1.27 class_HOL_Oord(tc_bool) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom,
% 1.23/1.27 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 1.23/1.27 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 1.23/1.27 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.23/1.27 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 1.23/1.27
% 1.23/1.27 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.23/1.27 ( V_X = V_Y
% 1.23/1.27 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 1.23/1.27
% 1.23/1.27 %------------------------------------------------------------------------------
% 1.23/1.27 %-------------------------------------------
% 1.23/1.27 % Proof found
% 1.23/1.27 % SZS status Theorem for theBenchmark
% 1.23/1.27 % SZS output start Proof
% 1.23/1.27 %ClaNum:1278(EqnAxiom:237)
% 1.23/1.27 %VarNum:8672(SingletonVarNum:3078)
% 1.23/1.27 %MaxLitNum:7
% 1.23/1.27 %MaxfuncDepth:9
% 1.23/1.27 %SharedTerms:123
% 1.23/1.27 %goalClause: 275 376 418 428 436 1201 1277
% 1.23/1.27 %singleGoalClaCount:5
% 1.23/1.27 [238]P1(a1)
% 1.23/1.27 [239]P2(a1)
% 1.23/1.27 [240]P3(a2)
% 1.23/1.27 [241]P3(a1)
% 1.23/1.27 [242]P21(a2)
% 1.23/1.27 [243]P21(a1)
% 1.23/1.27 [244]P22(a2)
% 1.23/1.27 [245]P22(a1)
% 1.23/1.27 [246]P4(a2)
% 1.23/1.27 [247]P38(a1)
% 1.23/1.27 [248]P39(a2)
% 1.23/1.27 [249]P39(a1)
% 1.23/1.27 [250]P40(a2)
% 1.23/1.27 [251]P40(a1)
% 1.23/1.27 [252]P5(a2)
% 1.23/1.27 [253]P5(a1)
% 1.23/1.27 [254]P17(a2)
% 1.23/1.27 [255]P29(a1)
% 1.23/1.27 [256]P30(a1)
% 1.23/1.27 [257]P20(a2)
% 1.23/1.27 [258]P20(a1)
% 1.23/1.27 [259]P6(a2)
% 1.23/1.27 [260]P23(a1)
% 1.23/1.27 [261]P36(a1)
% 1.23/1.27 [262]P18(a2)
% 1.23/1.27 [263]P43(a1)
% 1.23/1.27 [264]P44(a1)
% 1.23/1.27 [265]P25(a1)
% 1.23/1.27 [266]P28(a1)
% 1.23/1.27 [267]P26(a1)
% 1.23/1.27 [268]P41(a1)
% 1.23/1.27 [269]P15(a2)
% 1.23/1.27 [270]P15(a1)
% 1.23/1.27 [271]P16(a2)
% 1.23/1.27 [272]P37(a2)
% 1.23/1.27 [273]P37(a1)
% 1.23/1.27 [274]P42(a2)
% 1.23/1.27 [275]P7(a54,a3)
% 1.23/1.27 [428]~P50(f46(a59,a54,a3))
% 1.23/1.27 [376]P8(a56,f40(f47(f47(f47(f31(a48),f47(a58,a59)),f47(a62,a59)),f47(a61,a59)),f4(f53(f49(a48),a2)),f49(a48)),a48)
% 1.23/1.27 [418]P8(a56,f41(f18(f18(f8(f31(a48),a58,f53(a48,f53(a51,a2)),f53(a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a3),a62,a3,a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a61,a3,f53(a48,f53(a51,a2)),f49(a48)),a54,a3,f49(a48)),a48)
% 1.23/1.27 [436]~P8(a56,f40(f47(f47(f47(f31(a48),f47(a55,a59)),f47(a62,a59)),f47(a57,a59)),f4(f53(f49(a48),a2)),f49(a48)),a48)
% 1.23/1.27 [292]E(f46(a59,f4(f53(a3,a2)),a3),f47(f4(f53(a3,a2)),a59))
% 1.23/1.27 [420]~E(f36(x4201),x4201)
% 1.23/1.27 [276]P7(f4(f53(x2761,a2)),x2761)
% 1.23/1.27 [281]P50(f47(f47(f5(a1),x2811),f36(x2811)))
% 1.23/1.27 [423]~E(f37(f53(x4231,a2)),f4(f53(x4231,a2)))
% 1.23/1.27 [278]P50(f47(f47(f34(a1),x2781),x2781))
% 1.23/1.27 [290]E(f47(f28(f53(x2901,a2)),f4(f53(x2901,a2))),f37(f53(x2901,a2)))
% 1.23/1.27 [291]E(f47(f28(f53(x2911,a2)),f37(f53(x2911,a2))),f4(f53(x2911,a2)))
% 1.23/1.27 [427]~P50(f47(f47(f5(a1),x4271),x4271))
% 1.23/1.27 [429]~P50(f47(f47(f34(a1),f36(x4291)),x4291))
% 1.23/1.27 [422]~E(f19(x4221,x4222),a17)
% 1.23/1.27 [337]P50(f47(f47(f5(a1),f47(f47(f14(a1),x3371),x3372)),f36(x3371)))
% 1.23/1.27 [279]P50(f47(f47(f35(x2791),x2792),x2792))
% 1.23/1.27 [283]E(f47(f47(f14(a1),f36(x2831)),f36(x2832)),f47(f47(f14(a1),x2831),x2832))
% 1.23/1.27 [285]P8(x2851,f4(f53(f49(x2852),a2)),x2852)
% 1.23/1.27 [287]P50(f47(f37(f53(x2871,a2)),x2872))
% 1.23/1.27 [295]E(f47(f47(f14(f53(x2951,a2)),x2952),f4(f53(x2951,a2))),x2952)
% 1.23/1.27 [296]E(f47(f47(f27(f53(x2961,a2)),x2962),f37(f53(x2961,a2))),x2962)
% 1.23/1.27 [297]E(f47(f47(f32(f53(x2971,a2)),x2972),f4(f53(x2971,a2))),x2972)
% 1.23/1.27 [298]P50(f46(x2981,f37(f53(x2982,a2)),x2982))
% 1.23/1.27 [300]E(f47(f47(f14(f53(x3001,a2)),x3002),f37(f53(x3001,a2))),f4(f53(x3001,a2)))
% 1.23/1.27 [301]E(f47(f47(f27(f53(x3011,a2)),x3012),f4(f53(x3011,a2))),f4(f53(x3011,a2)))
% 1.23/1.27 [302]E(f47(f47(f32(f53(x3021,a2)),x3022),f37(f53(x3021,a2))),f37(f53(x3021,a2)))
% 1.23/1.27 [328]P50(f47(f47(f34(f53(x3281,a2)),x3282),f37(f53(x3281,a2))))
% 1.23/1.27 [430]~P50(f47(f4(f53(x4301,a2)),x4302))
% 1.23/1.27 [433]~P50(f46(x4331,f4(f53(x4332,a2)),x4332))
% 1.23/1.27 [435]~P50(f47(f47(f5(f53(x4351,a2)),x4352),f4(f53(x4351,a2))))
% 1.23/1.27 [288]E(f47(f47(f27(f53(x2881,a2)),x2882),x2882),x2882)
% 1.23/1.27 [289]E(f47(f47(f32(f53(x2891,a2)),x2892),x2892),x2892)
% 1.23/1.27 [293]E(f47(f47(f14(f53(x2931,a2)),x2932),x2932),f4(f53(x2931,a2)))
% 1.23/1.27 [294]E(f47(f28(f53(x2941,a2)),f47(f28(f53(x2941,a2)),x2942)),x2942)
% 1.23/1.27 [304]E(f47(f47(f27(f53(x3041,a2)),f37(f53(x3041,a2))),x3042),x3042)
% 1.23/1.27 [305]E(f47(f47(f32(f53(x3051,a2)),f4(f53(x3051,a2))),x3052),x3052)
% 1.23/1.27 [307]E(f47(f47(f14(f53(x3071,a2)),f4(f53(x3071,a2))),x3072),f4(f53(x3071,a2)))
% 1.23/1.27 [308]E(f47(f47(f27(f53(x3081,a2)),f4(f53(x3081,a2))),x3082),f4(f53(x3081,a2)))
% 1.23/1.27 [309]E(f47(f47(f32(f53(x3091,a2)),f37(f53(x3091,a2))),x3092),f37(f53(x3091,a2)))
% 1.23/1.27 [313]P50(f47(f47(f34(f53(x3131,a2)),x3132),x3132))
% 1.23/1.27 [315]E(f47(f47(f27(f53(x3151,a2)),x3152),f47(f28(f53(x3151,a2)),x3152)),f4(f53(x3151,a2)))
% 1.23/1.27 [316]E(f47(f47(f32(f53(x3161,a2)),x3162),f47(f28(f53(x3161,a2)),x3162)),f37(f53(x3161,a2)))
% 1.23/1.27 [318]E(f47(f47(f14(f53(x3181,a2)),f37(f53(x3181,a2))),x3182),f47(f28(f53(x3181,a2)),x3182))
% 1.23/1.27 [338]P50(f47(f47(f34(f53(x3381,a2)),f4(f53(x3381,a2))),x3382))
% 1.23/1.27 [434]~P50(f47(f47(f5(f53(x4341,a2)),x4342),x4342))
% 1.23/1.27 [331]E(f47(f47(f27(f53(x3311,a2)),f47(f28(f53(x3311,a2)),x3312)),x3312),f4(f53(x3311,a2)))
% 1.23/1.27 [332]E(f47(f47(f32(f53(x3321,a2)),f47(f28(f53(x3321,a2)),x3322)),x3322),f37(f53(x3321,a2)))
% 1.23/1.27 [335]P50(f47(f47(f34(a1),f47(f47(f14(a1),x3351),x3352)),x3351))
% 1.23/1.27 [377]P50(f47(f40(x3771,f4(f53(x3772,a2)),x3772),f33(f40(x3771,f4(f53(x3772,a2)),x3772),x3772)))
% 1.23/1.27 [299]E(f40(x2991,f40(x2991,x2992,x2993),x2993),f40(x2991,x2992,x2993))
% 1.23/1.27 [303]P50(f47(f40(x3031,x3032,x3033),x3031))
% 1.23/1.27 [314]P9(x3141,f4(f53(x3142,a2)),x3142,x3143)
% 1.23/1.27 [322]P50(f46(x3221,f40(x3221,x3222,x3223),x3223))
% 1.23/1.27 [339]P50(f47(f47(f34(f53(x3391,a2)),x3392),f40(x3393,x3392,x3391)))
% 1.23/1.27 [351]P8(x3511,f40(f47(f47(f47(f31(x3512),x3513),a17),x3513),f4(f53(f49(x3512),a2)),f49(x3512)),x3512)
% 1.23/1.27 [424]~E(f40(x4241,x4242,x4243),f4(f53(x4243,a2)))
% 1.23/1.27 [425]~E(f4(f53(x4251,a2)),f40(x4252,x4253,x4251))
% 1.23/1.27 [324]E(f45(x3241,f4(f53(x3242,a2)),x3243,x3242),f4(f53(x3243,a2)))
% 1.23/1.27 [325]E(f45(x3251,f37(f53(x3252,a2)),x3253,x3252),f37(f53(x3253,a2)))
% 1.23/1.27 [326]E(f41(x3261,f4(f53(x3262,a2)),x3262,x3263),f4(f53(x3263,a2)))
% 1.23/1.27 [306]E(f47(f15(x3061,x3062),f40(x3063,f4(f53(x3062,a2)),x3062)),x3063)
% 1.23/1.27 [310]E(f47(f47(f27(f53(x3101,a2)),x3102),x3103),f47(f47(f27(f53(x3101,a2)),x3103),x3102))
% 1.23/1.27 [311]E(f47(f47(f32(f53(x3111,a2)),x3112),x3113),f47(f47(f32(f53(x3111,a2)),x3113),x3112))
% 1.23/1.27 [329]E(f47(f47(f27(f53(x3291,a2)),x3292),f47(f28(f53(x3291,a2)),x3293)),f47(f47(f14(f53(x3291,a2)),x3292),x3293))
% 1.23/1.27 [330]E(f47(f47(f14(f53(x3301,a2)),x3302),f47(f28(f53(x3301,a2)),x3303)),f47(f47(f27(f53(x3301,a2)),x3302),x3303))
% 1.23/1.27 [334]E(f47(f47(f14(a1),f47(f47(f14(a1),x3341),x3342)),x3343),f47(f47(f14(a1),f47(f47(f14(a1),x3341),x3343)),x3342))
% 1.23/1.27 [336]E(f47(f47(f27(f53(x3361,a2)),x3362),f47(f47(f14(f53(x3361,a2)),x3363),x3362)),f4(f53(x3361,a2)))
% 1.23/1.27 [340]E(f47(f47(f14(a1),f47(f47(f14(a1),f36(x3401)),x3402)),f36(x3403)),f47(f47(f14(a1),f47(f47(f14(a1),x3401),x3402)),x3403))
% 1.23/1.27 [343]E(f47(f47(f27(f53(x3431,a2)),x3432),f47(f47(f27(f53(x3431,a2)),x3432),x3433)),f47(f47(f27(f53(x3431,a2)),x3432),x3433))
% 1.23/1.27 [344]E(f47(f47(f32(f53(x3441,a2)),x3442),f47(f47(f14(f53(x3441,a2)),x3443),x3442)),f47(f47(f32(f53(x3441,a2)),x3442),x3443))
% 1.23/1.27 [345]E(f47(f47(f32(f53(x3451,a2)),x3452),f47(f47(f32(f53(x3451,a2)),x3452),x3453)),f47(f47(f32(f53(x3451,a2)),x3452),x3453))
% 1.23/1.27 [348]E(f47(f47(f32(f53(x3481,a2)),f40(x3482,f4(f53(x3481,a2)),x3481)),x3483),f40(x3482,x3483,x3481))
% 1.23/1.27 [350]E(f47(f47(f32(f53(x3501,a2)),f47(f28(f53(x3501,a2)),x3502)),x3503),f47(f28(f53(x3501,a2)),f47(f47(f14(f53(x3501,a2)),x3502),x3503)))
% 1.23/1.27 [353]E(f40(x3531,f47(f47(f14(f53(x3532,a2)),x3533),f40(x3531,f4(f53(x3532,a2)),x3532)),x3532),f40(x3531,x3533,x3532))
% 1.23/1.27 [358]P50(f47(f47(f34(f53(x3581,a2)),x3582),f47(f47(f32(f53(x3581,a2)),x3583),x3582)))
% 1.23/1.27 [359]P50(f47(f47(f34(f53(x3591,a2)),x3592),f47(f47(f32(f53(x3591,a2)),x3592),x3593)))
% 1.23/1.27 [360]E(f47(f47(f32(f53(x3601,a2)),f47(f28(f53(x3601,a2)),x3602)),f47(f28(f53(x3601,a2)),x3603)),f47(f28(f53(x3601,a2)),f47(f47(f27(f53(x3601,a2)),x3602),x3603)))
% 1.23/1.27 [361]E(f47(f47(f27(f53(x3611,a2)),f47(f28(f53(x3611,a2)),x3612)),f47(f28(f53(x3611,a2)),x3613)),f47(f28(f53(x3611,a2)),f47(f47(f32(f53(x3611,a2)),x3612),x3613)))
% 1.23/1.27 [365]E(f47(f47(f32(f53(x3651,a2)),f47(f47(f14(f53(x3651,a2)),x3652),x3653)),f47(f47(f27(f53(x3651,a2)),x3652),x3653)),x3652)
% 1.23/1.27 [354]E(f47(f47(f14(f53(x3541,a2)),f47(f47(f14(f53(x3541,a2)),x3542),x3543)),x3543),f47(f47(f14(f53(x3541,a2)),x3542),x3543))
% 1.23/1.27 [355]E(f47(f47(f32(f53(x3551,a2)),f47(f47(f14(f53(x3551,a2)),x3552),x3553)),x3553),f47(f47(f32(f53(x3551,a2)),x3552),x3553))
% 1.23/1.27 [384]P50(f47(f47(f34(f53(x3841,a2)),f47(f47(f14(f53(x3841,a2)),x3842),x3843)),x3842))
% 1.23/1.27 [385]P50(f47(f47(f34(f53(x3851,a2)),f47(f47(f27(f53(x3851,a2)),x3852),x3853)),x3853))
% 1.23/1.27 [386]P50(f47(f47(f34(f53(x3861,a2)),f47(f47(f27(f53(x3861,a2)),x3862),x3863)),x3862))
% 1.23/1.27 [284]E(f47(f6(x2841,x2842,x2843),x2844),x2841)
% 1.23/1.27 [319]E(f40(x3191,f40(x3192,x3193,x3194),x3194),f40(x3192,f40(x3191,x3193,x3194),x3194))
% 1.23/1.27 [375]E(f22(x3751,x3752,f47(x3751,x3752),x3753,x3754),x3751)
% 1.23/1.27 [411]P10(x4111,x4112,f4(f53(x4113,a2)),x4112,x4113,x4114)
% 1.23/1.27 [412]P11(x4121,x4122,f4(f53(x4123,a2)),x4122,x4123,x4124)
% 1.23/1.27 [317]E(f47(f47(f16(x3171,x3172,x3173),x3174),f4(f53(x3172,a2))),x3174)
% 1.23/1.27 [363]E(f45(x3631,f47(f28(f53(x3632,a2)),x3633),x3634,x3632),f47(f28(f53(x3634,a2)),f45(x3631,x3633,x3634,x3632)))
% 1.23/1.27 [372]E(f47(f47(f14(f53(x3721,a2)),f47(f47(f14(f53(x3721,a2)),x3722),x3723)),f40(x3724,f4(f53(x3721,a2)),x3721)),f47(f47(f14(f53(x3721,a2)),x3722),f40(x3724,x3723,x3721)))
% 1.23/1.27 [378]P50(f46(f47(x3781,x3782),f41(x3781,f37(f53(x3783,a2)),x3783,x3784),x3784))
% 1.23/1.27 [387]E(f41(x3871,f45(x3871,x3872,x3873,x3874),x3873,x3874),f47(f47(f27(f53(x3874,a2)),x3872),f41(x3871,f37(f53(x3873,a2)),x3873,x3874)))
% 1.23/1.27 [413]P50(f47(f47(f34(f53(x4131,a2)),f41(x4132,f45(x4132,x4133,x4134,x4131),x4134,x4131)),x4133))
% 1.23/1.27 [346]E(f40(x3461,f47(f47(f32(f53(x3462,a2)),x3463),x3464),x3462),f47(f47(f32(f53(x3462,a2)),x3463),f40(x3461,x3464,x3462)))
% 1.23/1.27 [349]E(f40(x3491,f47(f47(f32(f53(x3492,a2)),x3493),x3494),x3492),f47(f47(f32(f53(x3492,a2)),f40(x3491,x3493,x3492)),x3494))
% 1.23/1.27 [352]E(f47(f47(f27(f53(x3521,a2)),f40(x3522,x3523,x3521)),f40(x3522,x3524,x3521)),f40(x3522,f47(f47(f27(f53(x3521,a2)),x3523),x3524),x3521))
% 1.23/1.27 [356]E(f47(f47(f27(f53(x3561,a2)),x3562),f47(f47(f27(f53(x3561,a2)),x3563),x3564)),f47(f47(f27(f53(x3561,a2)),x3563),f47(f47(f27(f53(x3561,a2)),x3562),x3564)))
% 1.23/1.27 [357]E(f47(f47(f32(f53(x3571,a2)),x3572),f47(f47(f32(f53(x3571,a2)),x3573),x3574)),f47(f47(f32(f53(x3571,a2)),x3573),f47(f47(f32(f53(x3571,a2)),x3572),x3574)))
% 1.23/1.27 [379]E(f47(f47(f32(f53(x3791,a2)),f47(f47(f14(f53(x3791,a2)),x3792),x3793)),f47(f47(f14(f53(x3791,a2)),x3792),x3794)),f47(f47(f14(f53(x3791,a2)),x3792),f47(f47(f27(f53(x3791,a2)),x3793),x3794)))
% 1.23/1.27 [380]E(f47(f47(f27(f53(x3801,a2)),f47(f47(f14(f53(x3801,a2)),x3802),x3803)),f47(f47(f14(f53(x3801,a2)),x3802),x3804)),f47(f47(f14(f53(x3801,a2)),x3802),f47(f47(f32(f53(x3801,a2)),x3803),x3804)))
% 1.23/1.27 [381]E(f47(f47(f14(f53(x3811,a2)),f47(f47(f27(f53(x3811,a2)),x3812),x3813)),f47(f47(f27(f53(x3811,a2)),x3812),x3814)),f47(f47(f27(f53(x3811,a2)),x3812),f47(f47(f14(f53(x3811,a2)),x3813),x3814)))
% 1.23/1.27 [382]E(f47(f47(f32(f53(x3821,a2)),f47(f47(f27(f53(x3821,a2)),x3822),x3823)),f47(f47(f27(f53(x3821,a2)),x3822),x3824)),f47(f47(f27(f53(x3821,a2)),x3822),f47(f47(f32(f53(x3821,a2)),x3823),x3824)))
% 1.23/1.27 [383]E(f47(f47(f27(f53(x3831,a2)),f47(f47(f32(f53(x3831,a2)),x3832),x3833)),f47(f47(f32(f53(x3831,a2)),x3832),x3834)),f47(f47(f32(f53(x3831,a2)),x3832),f47(f47(f27(f53(x3831,a2)),x3833),x3834)))
% 1.23/1.27 [394]P50(f46(x3941,f45(x3942,f40(f47(x3942,x3941),f4(f53(x3943,a2)),x3943),x3944,x3943),x3944))
% 1.23/1.27 [414]E(f47(f47(f32(f53(x4141,a2)),f47(f47(f32(f53(x4141,a2)),f47(f47(f27(f53(x4141,a2)),x4142),x4143)),f47(f47(f27(f53(x4141,a2)),x4143),x4144))),f47(f47(f27(f53(x4141,a2)),x4144),x4142)),f47(f47(f27(f53(x4141,a2)),f47(f47(f27(f53(x4141,a2)),f47(f47(f32(f53(x4141,a2)),x4142),x4143)),f47(f47(f32(f53(x4141,a2)),x4143),x4144))),f47(f47(f32(f53(x4141,a2)),x4144),x4142)))
% 1.23/1.27 [369]E(f47(f47(f14(f53(x3691,a2)),f47(f47(f27(f53(x3691,a2)),x3692),x3693)),x3694),f47(f47(f27(f53(x3691,a2)),x3692),f47(f47(f14(f53(x3691,a2)),x3693),x3694)))
% 1.23/1.27 [370]E(f47(f47(f27(f53(x3701,a2)),f47(f47(f27(f53(x3701,a2)),x3702),x3703)),x3704),f47(f47(f27(f53(x3701,a2)),x3702),f47(f47(f27(f53(x3701,a2)),x3703),x3704)))
% 1.23/1.27 [371]E(f47(f47(f32(f53(x3711,a2)),f47(f47(f32(f53(x3711,a2)),x3712),x3713)),x3714),f47(f47(f32(f53(x3711,a2)),x3712),f47(f47(f32(f53(x3711,a2)),x3713),x3714)))
% 1.23/1.27 [388]E(f47(f47(f32(f53(x3881,a2)),f47(f47(f14(f53(x3881,a2)),x3882),x3883)),f47(f47(f14(f53(x3881,a2)),x3884),x3883)),f47(f47(f14(f53(x3881,a2)),f47(f47(f32(f53(x3881,a2)),x3882),x3884)),x3883))
% 1.23/1.27 [389]E(f47(f47(f14(f53(x3891,a2)),f47(f47(f27(f53(x3891,a2)),x3892),x3893)),f47(f47(f27(f53(x3891,a2)),x3894),x3893)),f47(f47(f27(f53(x3891,a2)),f47(f47(f14(f53(x3891,a2)),x3892),x3894)),x3893))
% 1.23/1.27 [390]E(f47(f47(f32(f53(x3901,a2)),f47(f47(f27(f53(x3901,a2)),x3902),x3903)),f47(f47(f27(f53(x3901,a2)),x3904),x3903)),f47(f47(f27(f53(x3901,a2)),f47(f47(f32(f53(x3901,a2)),x3902),x3904)),x3903))
% 1.23/1.27 [391]E(f47(f47(f27(f53(x3911,a2)),f47(f47(f32(f53(x3911,a2)),x3912),x3913)),f47(f47(f32(f53(x3911,a2)),x3914),x3913)),f47(f47(f32(f53(x3911,a2)),f47(f47(f27(f53(x3911,a2)),x3912),x3914)),x3913))
% 1.23/1.27 [392]E(f47(f47(f14(f53(x3921,a2)),f47(f47(f27(f53(x3921,a2)),x3922),x3923)),f47(f47(f27(f53(x3921,a2)),x3924),x3923)),f47(f47(f14(f53(x3921,a2)),f47(f47(f27(f53(x3921,a2)),x3922),x3923)),x3924))
% 1.23/1.27 [393]E(f47(f47(f14(f53(x3931,a2)),f47(f47(f14(f53(x3931,a2)),x3932),f40(x3933,f4(f53(x3931,a2)),x3931))),x3934),f47(f47(f14(f53(x3931,a2)),x3932),f40(x3933,x3934,x3931)))
% 1.23/1.27 [362]E(f41(x3621,f40(x3622,x3623,x3624),x3624,x3625),f40(f47(x3621,x3622),f41(x3621,x3623,x3624,x3625),x3625))
% 1.23/1.27 [400]E(f47(f22(x4001,x4002,x4003,x4004,x4005),x4002),x4003)
% 1.23/1.27 [407]E(f47(f47(f32(f53(x4071,a2)),f45(x4072,f40(x4073,f4(f53(x4074,a2)),x4074),x4071,x4074)),f45(x4072,x4075,x4071,x4074)),f45(x4072,f40(x4073,x4075,x4074),x4071,x4074))
% 1.23/1.27 [416]P50(f47(f47(f34(f53(x4161,a2)),f41(x4162,f47(f47(f27(f53(x4163,a2)),x4164),x4165),x4163,x4161)),f47(f47(f27(f53(x4161,a2)),f41(x4162,x4164,x4163,x4161)),f41(x4162,x4165,x4163,x4161))))
% 1.23/1.27 [409]E(f41(f8(x4091,x4092,x4093,x4094,x4095),f37(f53(x4095,a2)),x4095,x4094),f41(x4091,f41(x4092,f37(f53(x4095,a2)),x4095,x4093),x4093,x4094))
% 1.23/1.27 [395]E(f47(f47(f14(f53(x3951,a2)),f45(x3952,x3953,x3951,x3954)),f45(x3952,x3955,x3951,x3954)),f45(x3952,f47(f47(f14(f53(x3954,a2)),x3953),x3955),x3951,x3954))
% 1.23/1.27 [396]E(f47(f47(f27(f53(x3961,a2)),f45(x3962,x3963,x3961,x3964)),f45(x3962,x3965,x3961,x3964)),f45(x3962,f47(f47(f27(f53(x3964,a2)),x3963),x3965),x3961,x3964))
% 1.23/1.27 [397]E(f47(f47(f32(f53(x3971,a2)),f45(x3972,x3973,x3971,x3974)),f45(x3972,x3975,x3971,x3974)),f45(x3972,f47(f47(f32(f53(x3974,a2)),x3973),x3975),x3971,x3974))
% 1.23/1.27 [398]E(f47(f47(f32(f53(x3981,a2)),f41(x3982,x3983,x3984,x3981)),f41(x3982,x3985,x3984,x3981)),f41(x3982,f47(f47(f32(f53(x3984,a2)),x3983),x3985),x3984,x3981))
% 1.23/1.27 [417]P50(f47(f47(f34(f53(x4171,a2)),f47(f47(f14(f53(x4171,a2)),f41(x4172,x4173,x4174,x4171)),f41(x4172,x4175,x4174,x4171))),f41(x4172,f47(f47(f14(f53(x4174,a2)),x4173),x4175),x4174,x4171)))
% 1.23/1.27 [404]E(f47(f8(x4041,x4042,x4043,x4044,x4045),x4046),f47(x4041,f47(x4042,x4046)))
% 1.23/1.27 [406]E(f47(f18(x4061,x4062,x4063,x4064,x4065),x4066),f47(f47(x4061,x4066),f47(x4062,x4066)))
% 1.23/1.27 [408]E(f41(x4081,f41(x4082,x4083,x4084,x4085),x4085,x4086),f41(f8(x4081,x4082,x4085,x4086,x4084),x4083,x4084,x4086))
% 1.23/1.27 [410]E(f22(f22(x4101,x4102,x4103,x4104,x4105),x4102,x4106,x4104,x4105),f22(x4101,x4102,x4106,x4104,x4105))
% 1.23/1.27 [368]E(f47(f47(f7(x3681,x3682,x3683,x3684),x3685),x3686),f47(f47(x3681,x3686),x3685))
% 1.23/1.27 [1277]~P8(a56,f41(f18(f18(f8(f31(a48),a58,f53(a48,f53(a51,a2)),f53(a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a3),a62,a3,a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a61,a3,f53(a48,f53(a51,a2)),f49(a48)),a54,a3,f49(a48)),a48)+P8(a56,f41(f18(f18(f8(f31(a48),a55,f53(a48,f53(a51,a2)),f53(a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a3),a62,a3,a52,f53(f53(a48,f53(a51,a2)),f49(a48))),a57,a3,f53(a48,f53(a51,a2)),f49(a48)),a54,a3,f49(a48)),a48)
% 1.23/1.27 [442]~P1(x4421)+P13(f38(x4421),x4421)
% 1.23/1.27 [443]~P21(x4431)+P13(f27(x4431),x4431)
% 1.23/1.27 [444]~P22(x4441)+P13(f32(x4441),x4441)
% 1.23/1.27 [445]~P1(x4451)+P13(f39(x4451),x4451)
% 1.23/1.27 [446]~P1(x4461)+E(f15(f39(x4461),x4461),f23(x4461))
% 1.23/1.27 [447]~P1(x4471)+E(f15(f38(x4471),x4471),f24(x4471))
% 1.23/1.27 [462]~P17(x4621)+E(f47(f28(x4621),f4(x4621)),f37(x4621))
% 1.23/1.27 [463]~P17(x4631)+E(f47(f28(x4631),f37(x4631)),f4(x4631))
% 1.23/1.27 [1100]~P22(x11001)+P12(f7(f34(x11001),x11001,x11001,a2),f7(f5(x11001),x11001,x11001,a2),f32(x11001),x11001)
% 1.23/1.27 [1101]~P1(x11011)+P12(f7(f34(x11011),x11011,x11011,a2),f7(f5(x11011),x11011,x11011,a2),f39(x11011),x11011)
% 1.23/1.27 [1201]~P8(a56,f40(f47(f47(f47(f31(a48),f47(a58,x12011)),f47(a62,x12011)),f47(a61,x12011)),f4(f53(f49(a48),a2)),f49(a48)),a48)+P8(a56,f40(f47(f47(f47(f31(a48),f47(a55,x12011)),f47(a62,x12011)),f47(a57,x12011)),f4(f53(f49(a48),a2)),f49(a48)),a48)
% 1.23/1.27 [487]~P37(x4871)+E(f47(f4(f53(a3,x4871)),a59),f4(x4871))
% 1.23/1.27 [488]~P42(x4881)+E(f47(f37(f53(a3,x4881)),a59),f37(x4881))
% 1.23/1.27 [491]~P6(x4911)+E(f20(f4(f53(x4911,a2)),x4911),f37(x4911))
% 1.23/1.27 [492]~P6(x4921)+E(f20(f37(f53(x4921,a2)),x4921),f4(x4921))
% 1.23/1.27 [439]~P16(x4392)+P7(x4391,x4392)
% 1.23/1.27 [438]E(x4381,x4382)+~E(f36(x4381),f36(x4382))
% 1.23/1.27 [448]~P3(x4482)+P3(f53(x4481,x4482))
% 1.23/1.27 [449]~P3(x4492)+P21(f53(x4491,x4492))
% 1.23/1.27 [450]~P3(x4502)+P22(f53(x4501,x4502))
% 1.23/1.27 [451]~P4(x4512)+P4(f53(x4511,x4512))
% 1.23/1.27 [452]~P39(x4522)+P39(f53(x4521,x4522))
% 1.23/1.27 [453]~P40(x4532)+P40(f53(x4531,x4532))
% 1.23/1.27 [454]~P5(x4542)+P5(f53(x4541,x4542))
% 1.23/1.27 [455]~P17(x4552)+P17(f53(x4551,x4552))
% 1.23/1.27 [456]~P20(x4562)+P20(f53(x4561,x4562))
% 1.23/1.27 [457]~P6(x4572)+P6(f53(x4571,x4572))
% 1.23/1.27 [458]~P18(x4582)+P18(f53(x4581,x4582))
% 1.23/1.27 [459]~P15(x4592)+P15(f53(x4591,x4592))
% 1.23/1.27 [460]~P37(x4602)+P37(f53(x4601,x4602))
% 1.23/1.27 [461]~P42(x4612)+P42(f53(x4611,x4612))
% 1.23/1.27 [478]~P4(x4781)+E(f47(f47(f27(x4781),x4782),f37(x4781)),x4782)
% 1.23/1.27 [479]~P4(x4791)+E(f47(f47(f32(x4791),x4792),f4(x4791)),x4792)
% 1.23/1.27 [480]~P4(x4801)+E(f47(f47(f27(x4801),x4802),f4(x4801)),f4(x4801))
% 1.23/1.27 [481]~P4(x4811)+E(f47(f47(f32(x4811),x4812),f37(x4811)),f37(x4811))
% 1.23/1.27 [513]~P42(x5131)+P50(f47(f47(f34(x5131),x5132),f37(x5131)))
% 1.23/1.27 [467]~P1(x4671)+E(f47(f47(f38(x4671),x4672),x4672),x4672)
% 1.23/1.27 [468]~P27(x4681)+E(f47(f47(f29(x4681),x4682),x4682),x4682)
% 1.23/1.27 [469]~P21(x4691)+E(f47(f47(f27(x4691),x4692),x4692),x4692)
% 1.23/1.27 [470]~P22(x4701)+E(f47(f47(f32(x4701),x4702),x4702),x4702)
% 1.23/1.27 [471]~P1(x4711)+E(f47(f47(f39(x4711),x4712),x4712),x4712)
% 1.23/1.27 [475]~P17(x4751)+E(f47(f28(x4751),f47(f28(x4751),x4752)),x4752)
% 1.23/1.27 [477]~P31(x4771)+E(f47(f28(x4771),f47(f28(x4771),x4772)),x4772)
% 1.23/1.27 [482]~P4(x4821)+E(f47(f47(f27(x4821),f37(x4821)),x4822),x4822)
% 1.23/1.27 [483]~P4(x4831)+E(f47(f47(f32(x4831),f4(x4831)),x4832),x4832)
% 1.23/1.27 [489]~P4(x4891)+E(f47(f47(f27(x4891),f4(x4891)),x4892),f4(x4891))
% 1.23/1.27 [490]~P4(x4901)+E(f47(f47(f32(x4901),f37(x4901)),x4902),f37(x4901))
% 1.23/1.27 [497]~P17(x4971)+E(f47(f47(f27(x4971),x4972),f47(f28(x4971),x4972)),f4(x4971))
% 1.23/1.27 [498]~P17(x4981)+E(f47(f47(f32(x4981),x4982),f47(f28(x4981),x4982)),f37(x4981))
% 1.23/1.27 [511]~P39(x5111)+P50(f47(f47(f34(x5111),x5112),x5112))
% 1.23/1.27 [512]~P40(x5121)+P50(f47(f47(f34(x5121),x5122),x5122))
% 1.23/1.27 [514]~P37(x5141)+P50(f47(f47(f34(x5141),f4(x5141)),x5142))
% 1.23/1.27 [529]~P39(x5292)+E(f42(x5291,x5291,x5292),f40(x5291,f4(f53(x5292,a2)),x5292))
% 1.23/1.27 [536]~P1(x5361)+~P50(f47(f47(f5(x5361),x5362),x5362))
% 1.23/1.27 [537]~P39(x5371)+~P50(f47(f47(f5(x5371),x5372),x5372))
% 1.23/1.27 [538]~P40(x5381)+~P50(f47(f47(f5(x5381),x5382),x5382))
% 1.23/1.27 [542]P50(f47(f47(f34(a1),x5422),x5421))+P50(f47(f47(f34(a1),x5421),x5422))
% 1.23/1.27 [557]P50(f47(f47(f5(a1),x5572),f36(x5571)))+P50(f47(f47(f5(a1),x5571),x5572))
% 1.23/1.27 [564]P50(f47(f47(f34(a1),f36(x5642)),x5641))+P50(f47(f47(f34(a1),x5641),x5642))
% 1.23/1.27 [585]~P45(x5851)+E(f47(f47(f29(x5851),f47(f28(x5851),x5852)),f47(f28(x5851),x5852)),f47(f47(f29(x5851),x5852),x5852))
% 1.23/1.27 [603]~P50(f47(f47(f5(a1),x6031),x6032))+P50(f47(f47(f34(a1),x6031),x6032))
% 1.23/1.27 [609]P50(f47(f47(f34(a1),x6091),f36(x6092)))+~P50(f47(f47(f34(a1),x6091),x6092))
% 1.23/1.27 [610]P50(f47(f47(f5(a1),x6101),f36(x6102)))+~P50(f47(f47(f34(a1),x6101),x6102))
% 1.23/1.27 [611]P50(f47(f47(f5(a1),x6111),f36(x6112)))+~P50(f47(f47(f5(a1),x6111),x6112))
% 1.23/1.27 [619]~P50(f47(f47(f5(a1),x6191),f36(x6192)))+P50(f47(f47(f34(a1),x6191),x6192))
% 1.23/1.27 [627]~P50(f47(f47(f5(a1),x6271),x6272))+P50(f47(f47(f34(a1),f36(x6271)),x6272))
% 1.23/1.27 [635]P50(f47(f47(f34(a1),f36(x6351)),f36(x6352)))+~P50(f47(f47(f34(a1),x6351),x6352))
% 1.23/1.27 [637]P50(f47(f47(f5(a1),f36(x6371)),f36(x6372)))+~P50(f47(f47(f5(a1),x6371),x6372))
% 1.23/1.27 [638]~P50(f47(f47(f34(a1),f36(x6381)),x6382))+P50(f47(f47(f34(a1),x6381),x6382))
% 1.23/1.27 [640]~P50(f47(f47(f34(a1),f36(x6401)),x6402))+P50(f47(f47(f5(a1),x6401),x6402))
% 1.23/1.27 [641]~P50(f47(f47(f5(a1),f36(x6411)),x6412))+P50(f47(f47(f5(a1),x6411),x6412))
% 1.23/1.27 [664]~P50(f47(f47(f34(a1),f36(x6641)),f36(x6642)))+P50(f47(f47(f34(a1),x6641),x6642))
% 1.23/1.27 [665]~P50(f47(f47(f5(a1),f36(x6651)),f36(x6652)))+P50(f47(f47(f5(a1),x6651),x6652))
% 1.23/1.27 [685]~P50(f47(f47(f5(a1),x6852),f36(x6851)))+~P50(f47(f47(f5(a1),x6851),x6852))
% 1.23/1.27 [699]~P50(f47(f47(f34(a1),f36(x6992)),x6991))+~P50(f47(f47(f34(a1),x6991),x6992))
% 1.23/1.27 [885]E(x8851,f4(f53(x8852,a2)))+~P50(f47(f47(f34(f53(x8852,a2)),x8851),f4(f53(x8852,a2))))
% 1.23/1.27 [515]~P17(x5151)+E(f47(f47(f27(x5151),f47(f28(x5151),x5152)),x5152),f4(x5151))
% 1.23/1.27 [516]~P17(x5161)+E(f47(f47(f32(x5161),f47(f28(x5161),x5162)),x5162),f37(x5161))
% 1.23/1.27 [545]~P18(x5451)+E(f47(f47(f28(f53(a3,x5451)),x5452),a59),f47(f28(x5451),f47(x5452,a59)))
% 1.23/1.27 [596]~P6(x5962)+E(f20(f40(x5961,f4(f53(x5962,a2)),x5962),x5962),x5961)
% 1.23/1.27 [597]~P1(x5971)+E(f47(f23(x5971),f40(x5972,f4(f53(x5971,a2)),x5971)),x5972)
% 1.23/1.27 [598]~P1(x5981)+E(f47(f24(x5981),f40(x5982,f4(f53(x5981,a2)),x5981)),x5982)
% 1.23/1.27 [653]E(f47(f47(f14(a1),x6531),f47(f47(f14(a1),x6531),x6532)),x6532)+~P50(f47(f47(f34(a1),x6532),x6531))
% 1.23/1.27 [666]E(f36(f47(f47(f14(a1),x6661),x6662)),f47(f47(f14(a1),f36(x6661)),x6662))+~P50(f47(f47(f34(a1),x6662),x6661))
% 1.23/1.27 [841]E(f21(f40(x8411,f4(f53(x8412,a2)),x8412),x8412),f36(f21(f4(f53(x8412,a2)),x8412)))+P50(f46(x8411,f4(f53(x8412,a2)),x8412))
% 1.23/1.27 [992]E(x9921,f4(f53(x9922,a2)))+~P50(f47(f47(f34(f53(x9922,a2)),x9921),f47(f28(f53(x9922,a2)),x9921)))
% 1.23/1.27 [517]~P7(x5172,x5173)+P7(f40(x5171,x5172,x5173),x5173)
% 1.23/1.27 [524]~P50(f47(x5242,x5241))+P50(f46(x5241,x5242,x5243))
% 1.23/1.27 [559]P7(x5591,x5592)+~P7(f40(x5593,x5591,x5592),x5592)
% 1.23/1.27 [560]P50(f47(x5601,x5602))+~P50(f46(x5602,x5601,x5603))
% 1.23/1.27 [595]E(f40(x5951,x5952,x5953),x5952)+~P50(f46(x5951,x5952,x5953))
% 1.23/1.27 [472]~P13(x4721,x4723)+E(f47(f47(x4721,x4722),x4722),x4722)
% 1.23/1.27 [562]~P6(x5621)+E(f47(f47(f27(x5621),x5622),f20(x5623,x5621)),f20(f40(x5622,x5623,x5621),x5621))
% 1.23/1.27 [1234]~P7(x12342,x12341)+P50(f47(f47(f34(a1),f21(f47(f47(f14(f53(x12341,a2)),x12342),f40(x12343,f4(f53(x12341,a2)),x12341)),x12341)),f21(x12342,x12341)))
% 1.23/1.27 [500]~P1(x5001)+E(f47(f47(f38(x5001),x5002),x5003),f47(f47(f38(x5001),x5003),x5002))
% 1.23/1.27 [501]~P2(x5011)+E(f47(f47(f30(x5011),x5012),x5013),f47(f47(f30(x5011),x5013),x5012))
% 1.23/1.27 [503]~P38(x5031)+E(f47(f47(f30(x5031),x5032),x5033),f47(f47(f30(x5031),x5033),x5032))
% 1.23/1.27 [505]~P38(x5051)+E(f47(f47(f29(x5051),x5052),x5053),f47(f47(f29(x5051),x5053),x5052))
% 1.23/1.27 [506]~P3(x5061)+E(f47(f47(f27(x5061),x5062),x5063),f47(f47(f27(x5061),x5063),x5062))
% 1.23/1.27 [507]~P21(x5071)+E(f47(f47(f27(x5071),x5072),x5073),f47(f47(f27(x5071),x5073),x5072))
% 1.23/1.27 [508]~P3(x5081)+E(f47(f47(f32(x5081),x5082),x5083),f47(f47(f32(x5081),x5083),x5082))
% 1.23/1.27 [509]~P22(x5091)+E(f47(f47(f32(x5091),x5092),x5093),f47(f47(f32(x5091),x5093),x5092))
% 1.23/1.27 [510]~P1(x5101)+E(f47(f47(f39(x5101),x5102),x5103),f47(f47(f39(x5101),x5103),x5102))
% 1.23/1.27 [518]~P19(x5181)+E(f47(f47(f30(x5181),x5182),f47(f28(x5181),x5183)),f47(f47(f14(x5181),x5182),x5183))
% 1.23/1.27 [519]~P31(x5191)+E(f47(f47(f30(x5191),x5192),f47(f28(x5191),x5193)),f47(f47(f14(x5191),x5192),x5193))
% 1.23/1.27 [521]~P24(x5211)+E(f47(f47(f30(x5211),x5212),f47(f28(x5211),x5213)),f47(f47(f14(x5211),x5212),x5213))
% 1.23/1.27 [522]~P17(x5221)+E(f47(f47(f27(x5221),x5222),f47(f28(x5221),x5223)),f47(f47(f14(x5221),x5222),x5223))
% 1.23/1.27 [523]~P31(x5231)+E(f47(f47(f14(x5231),x5232),f47(f28(x5231),x5233)),f47(f47(f30(x5231),x5232),x5233))
% 1.23/1.27 [530]E(x5301,x5302)+~P50(f47(f47(f35(x5303),x5301),x5302))
% 1.23/1.27 [563]E(x5631,x5632)+~E(f47(f28(f53(x5633,a2)),x5631),f47(f28(f53(x5633,a2)),x5632))
% 1.23/1.27 [584]~P46(x5841)+E(f47(f47(f29(x5841),f47(f28(x5841),x5842)),f47(f28(x5841),x5843)),f47(f47(f29(x5841),x5842),x5843))
% 1.23/1.27 [701]E(x7011,x7012)+~E(f40(x7011,f4(f53(x7013,a2)),x7013),f40(x7012,f4(f53(x7013,a2)),x7013))
% 1.23/1.27 [916]~P7(x9161,x9162)+P50(f47(f47(f34(a1),f21(x9161,x9162)),f21(f40(x9163,x9161,x9162),x9162)))
% 1.23/1.27 [525]~P1(x5251)+E(f47(f47(f38(x5251),x5252),f47(f47(f39(x5251),x5252),x5253)),x5252)
% 1.23/1.27 [526]~P3(x5261)+E(f47(f47(f27(x5261),x5262),f47(f47(f32(x5261),x5262),x5263)),x5262)
% 1.23/1.27 [527]~P3(x5271)+E(f47(f47(f32(x5271),x5272),f47(f47(f27(x5271),x5272),x5273)),x5272)
% 1.23/1.27 [528]~P1(x5281)+E(f47(f47(f39(x5281),x5282),f47(f47(f38(x5281),x5282),x5283)),x5282)
% 1.23/1.27 [541]~P24(x5411)+E(f47(f28(x5411),f47(f47(f14(x5411),x5412),x5413)),f47(f47(f14(x5411),x5413),x5412))
% 1.23/1.27 [565]~P1(x5651)+E(f47(f47(f38(x5651),x5652),f47(f47(f38(x5651),x5652),x5653)),f47(f47(f38(x5651),x5652),x5653))
% 1.23/1.27 [566]~P27(x5661)+E(f47(f47(f29(x5661),x5662),f47(f47(f29(x5661),x5662),x5663)),f47(f47(f29(x5661),x5662),x5663))
% 1.23/1.27 [567]~P3(x5671)+E(f47(f47(f27(x5671),x5672),f47(f47(f27(x5671),x5672),x5673)),f47(f47(f27(x5671),x5672),x5673))
% 1.23/1.27 [568]~P21(x5681)+E(f47(f47(f27(x5681),x5682),f47(f47(f27(x5681),x5682),x5683)),f47(f47(f27(x5681),x5682),x5683))
% 1.23/1.27 [569]~P3(x5691)+E(f47(f47(f32(x5691),x5692),f47(f47(f32(x5691),x5692),x5693)),f47(f47(f32(x5691),x5692),x5693))
% 1.23/1.27 [570]~P22(x5701)+E(f47(f47(f32(x5701),x5702),f47(f47(f32(x5701),x5702),x5703)),f47(f47(f32(x5701),x5702),x5703))
% 1.23/1.27 [571]~P1(x5711)+E(f47(f47(f39(x5711),x5712),f47(f47(f39(x5711),x5712),x5713)),f47(f47(f39(x5711),x5712),x5713))
% 1.23/1.27 [572]~P46(x5721)+E(f47(f47(f29(x5721),x5722),f47(f28(x5721),x5723)),f47(f28(x5721),f47(f47(f29(x5721),x5722),x5723)))
% 1.23/1.27 [583]~P46(x5831)+E(f47(f47(f29(x5831),f47(f28(x5831),x5832)),x5833),f47(f47(f29(x5831),x5832),f47(f28(x5831),x5833)))
% 1.23/1.27 [599]~P24(x5991)+E(f47(f47(f30(x5991),f47(f28(x5991),x5992)),f47(f47(f30(x5991),x5993),x5992)),x5993)
% 1.23/1.27 [600]~P31(x6001)+E(f47(f47(f30(x6001),f47(f28(x6001),x6002)),f47(f47(f30(x6001),x6002),x6003)),x6003)
% 1.23/1.27 [616]~P46(x6161)+E(f47(f47(f29(x6161),f47(f28(x6161),x6162)),x6163),f47(f28(x6161),f47(f47(f29(x6161),x6162),x6163)))
% 1.23/1.27 [655]~P31(x6551)+E(f47(f47(f30(x6551),f47(f28(x6551),x6552)),f47(f28(x6551),x6553)),f47(f28(x6551),f47(f47(f30(x6551),x6553),x6552)))
% 1.23/1.27 [656]~P24(x6561)+E(f47(f47(f30(x6561),f47(f28(x6561),x6562)),f47(f28(x6561),x6563)),f47(f28(x6561),f47(f47(f30(x6561),x6562),x6563)))
% 1.23/1.27 [657]~P17(x6571)+E(f47(f47(f32(x6571),f47(f28(x6571),x6572)),f47(f28(x6571),x6573)),f47(f28(x6571),f47(f47(f27(x6571),x6572),x6573)))
% 1.23/1.27 [658]~P32(x6581)+E(f47(f47(f32(x6581),f47(f28(x6581),x6582)),f47(f28(x6581),x6583)),f47(f28(x6581),f47(f47(f27(x6581),x6582),x6583)))
% 1.23/1.27 [659]~P17(x6591)+E(f47(f47(f27(x6591),f47(f28(x6591),x6592)),f47(f28(x6591),x6593)),f47(f28(x6591),f47(f47(f32(x6591),x6592),x6593)))
% 1.23/1.27 [660]~P32(x6601)+E(f47(f47(f27(x6601),f47(f28(x6601),x6602)),f47(f28(x6601),x6603)),f47(f28(x6601),f47(f47(f32(x6601),x6602),x6603)))
% 1.23/1.27 [661]E(x6611,f4(f53(x6612,a2)))+~E(f47(f47(f32(f53(x6612,a2)),x6613),x6611),f4(f53(x6612,a2)))
% 1.23/1.27 [662]E(x6621,f4(f53(x6622,a2)))+~E(f47(f47(f32(f53(x6622,a2)),x6621),x6623),f4(f53(x6622,a2)))
% 1.23/1.27 [686]~P3(x6861)+P50(f47(f47(f34(x6861),x6862),f47(f47(f32(x6861),x6863),x6862)))
% 1.23/1.27 [687]~P22(x6871)+P50(f47(f47(f34(x6871),x6872),f47(f47(f32(x6871),x6873),x6872)))
% 1.23/1.27 [688]~P3(x6881)+P50(f47(f47(f34(x6881),x6882),f47(f47(f32(x6881),x6882),x6883)))
% 1.23/1.27 [689]~P22(x6891)+P50(f47(f47(f34(x6891),x6892),f47(f47(f32(x6891),x6892),x6893)))
% 1.23/1.27 [690]~P1(x6901)+P50(f47(f47(f34(x6901),x6902),f47(f47(f39(x6901),x6903),x6902)))
% 1.23/1.27 [691]~P1(x6911)+P50(f47(f47(f34(x6911),x6912),f47(f47(f39(x6911),x6912),x6913)))
% 1.23/1.27 [693]~P7(x6932,x6931)+P7(f47(f47(f14(f53(x6931,a2)),x6932),x6933),x6931)
% 1.23/1.27 [694]~P7(x6943,x6941)+P7(f47(f47(f27(f53(x6941,a2)),x6942),x6943),x6941)
% 1.23/1.27 [695]~P7(x6952,x6951)+P7(f47(f47(f27(f53(x6951,a2)),x6952),x6953),x6951)
% 1.23/1.27 [731]~P32(x7311)+E(f47(f28(x7311),f47(f47(f32(x7311),f47(f28(x7311),x7312)),f47(f28(x7311),x7313))),f47(f47(f27(x7311),x7312),x7313))
% 1.23/1.27 [732]~P32(x7321)+E(f47(f28(x7321),f47(f47(f27(x7321),f47(f28(x7321),x7322)),f47(f28(x7321),x7323))),f47(f47(f32(x7321),x7322),x7323))
% 1.23/1.27 [733]E(f47(f47(f14(f53(x7331,a2)),x7332),x7333),x7332)+~E(f47(f47(f27(f53(x7331,a2)),x7332),x7333),f4(f53(x7331,a2)))
% 1.23/1.27 [736]~P32(x7361)+E(f47(f47(f30(x7361),f47(f47(f32(x7361),x7362),x7363)),f47(f47(f27(x7361),x7362),x7363)),f47(f47(f30(x7361),x7362),x7363))
% 1.23/1.27 [780]P50(f46(x7801,x7802,x7803))+P50(f46(x7801,f47(f28(f53(x7803,a2)),x7802),x7803))
% 1.23/1.27 [783]P7(x7831,x7832)+~P7(f47(f47(f32(f53(x7832,a2)),x7833),x7831),x7832)
% 1.23/1.27 [784]P7(x7841,x7842)+~P7(f47(f47(f32(f53(x7842,a2)),x7841),x7843),x7842)
% 1.23/1.27 [811]~E(f47(f47(f32(f53(x8111,a2)),x8112),x8113),x8113)+P50(f47(f47(f34(f53(x8111,a2)),x8112),x8113))
% 1.23/1.27 [847]E(f47(f47(f27(f53(x8471,a2)),x8472),x8473),x8473)+~P50(f47(f47(f34(f53(x8471,a2)),x8473),x8472))
% 1.23/1.27 [848]E(f47(f47(f27(f53(x8481,a2)),x8482),x8483),x8482)+~P50(f47(f47(f34(f53(x8481,a2)),x8482),x8483))
% 1.23/1.27 [849]E(f47(f47(f32(f53(x8491,a2)),x8492),x8493),x8493)+~P50(f47(f47(f34(f53(x8491,a2)),x8492),x8493))
% 1.23/1.27 [850]E(f47(f47(f32(f53(x8501,a2)),x8502),x8503),x8502)+~P50(f47(f47(f34(f53(x8501,a2)),x8503),x8502))
% 1.23/1.27 [901]P50(f46(x9012,x9013,x9011))+E(f47(f47(f14(f53(x9011,a2)),f40(x9012,x9013,x9011)),f40(x9012,f4(f53(x9011,a2)),x9011)),x9013)
% 1.23/1.27 [938]~P50(f47(f47(f5(f53(x9381,a2)),x9382),x9383))+P50(f47(f47(f34(f53(x9381,a2)),x9382),x9383))
% 1.23/1.27 [941]~P50(f46(x9411,x9412,x9413))+~P50(f46(x9411,f47(f28(f53(x9413,a2)),x9412),x9413))
% 1.23/1.27 [947]~P50(f47(f47(f34(a1),x9471),x9473))+P50(f47(f47(f34(a1),f47(f47(f14(a1),x9471),x9472)),f47(f47(f14(a1),x9473),x9472)))
% 1.23/1.27 [948]~P50(f47(f47(f34(a1),x9483),x9482))+P50(f47(f47(f34(a1),f47(f47(f14(a1),x9481),x9482)),f47(f47(f14(a1),x9481),x9483)))
% 1.23/1.27 [958]~E(f47(f47(f27(f53(x9581,a2)),x9582),x9583),f4(f53(x9581,a2)))+P50(f47(f47(f34(f53(x9581,a2)),x9582),f47(f28(f53(x9581,a2)),x9583)))
% 1.23/1.27 [965]E(x9651,x9652)+~P50(f46(x9651,f40(x9652,f4(f53(x9653,a2)),x9653),x9653))
% 1.23/1.27 [1027]E(x10271,f33(f40(x10272,f4(f53(x10273,a2)),x10273),x10273))+~P50(f47(f40(x10272,f4(f53(x10273,a2)),x10273),x10271))
% 1.23/1.27 [1048]E(f47(f47(f27(f53(x10481,a2)),x10482),x10483),f4(f53(x10481,a2)))+~P50(f47(f47(f34(f53(x10481,a2)),x10482),f47(f28(f53(x10481,a2)),x10483)))
% 1.23/1.27 [1125]~P50(f47(f47(f34(f53(x11251,a2)),x11253),x11252))+P50(f47(f47(f34(f53(x11251,a2)),f47(f28(f53(x11251,a2)),x11252)),f47(f28(f53(x11251,a2)),x11253)))
% 1.23/1.27 [1156]P50(f47(f47(f34(f53(x11561,a2)),x11562),x11563))+~P50(f47(f47(f34(f53(x11561,a2)),f47(f28(f53(x11561,a2)),x11563)),f47(f28(f53(x11561,a2)),x11562)))
% 1.23/1.27 [624]~P31(x6241)+E(f47(f47(f30(x6241),f47(f47(f14(x6241),x6242),x6243)),x6243),x6242)
% 1.23/1.27 [625]~P31(x6251)+E(f47(f47(f14(x6251),f47(f47(f30(x6251),x6252),x6253)),x6253),x6252)
% 1.23/1.27 [673]~P31(x6731)+E(f47(f47(f30(x6731),x6732),f47(f47(f30(x6731),f47(f28(x6731),x6732)),x6733)),x6733)
% 1.23/1.27 [752]~P15(x7521)+E(f47(f47(f47(f14(f53(a3,x7521)),x7522),x7523),a59),f47(f47(f14(x7521),f47(x7522,a59)),f47(x7523,a59)))
% 1.23/1.27 [753]~P3(x7531)+E(f47(f47(f47(f27(f53(a3,x7531)),x7532),x7533),a59),f47(f47(f27(x7531),f47(x7532,a59)),f47(x7533,a59)))
% 1.23/1.27 [754]~P3(x7541)+E(f47(f47(f47(f32(f53(a3,x7541)),x7542),x7543),a59),f47(f47(f32(x7541),f47(x7542,a59)),f47(x7543,a59)))
% 1.23/1.27 [824]~P1(x8241)+P50(f47(f47(f34(x8241),f47(f47(f38(x8241),x8242),x8243)),x8243))
% 1.23/1.27 [825]~P1(x8251)+P50(f47(f47(f34(x8251),f47(f47(f38(x8251),x8252),x8253)),x8252))
% 1.23/1.27 [826]~P3(x8261)+P50(f47(f47(f34(x8261),f47(f47(f27(x8261),x8262),x8263)),x8263))
% 1.23/1.27 [827]~P21(x8271)+P50(f47(f47(f34(x8271),f47(f47(f27(x8271),x8272),x8273)),x8273))
% 1.23/1.27 [828]~P3(x8281)+P50(f47(f47(f34(x8281),f47(f47(f27(x8281),x8282),x8283)),x8282))
% 1.23/1.27 [829]~P21(x8291)+P50(f47(f47(f34(x8291),f47(f47(f27(x8291),x8292),x8293)),x8292))
% 1.23/1.27 [851]~P6(x8513)+E(f20(f40(x8511,f40(x8512,f4(f53(x8513,a2)),x8513),x8513),x8513),f47(f47(f27(x8513),x8511),x8512))
% 1.23/1.27 [862]~P50(f47(f47(f5(a1),x8621),x8623))+P50(f47(f47(f5(a1),f47(f47(f14(a1),x8621),x8622)),x8623))
% 1.23/1.27 [988]E(f47(f47(f32(f53(x9881,a2)),x9882),f47(f47(f14(f53(x9881,a2)),x9883),x9882)),x9883)+~P50(f47(f47(f34(f53(x9881,a2)),x9882),x9883))
% 1.23/1.27 [1028]~P50(f46(x10281,x10283,x10282))+E(f40(x10281,f47(f47(f14(f53(x10282,a2)),x10283),f40(x10281,f4(f53(x10282,a2)),x10282)),x10282),x10283)
% 1.23/1.27 [1123]~P7(f47(f47(f27(f53(x11232,a2)),x11231),x11233),x11232)+E(f47(f47(f14(a1),f21(x11231,x11232)),f21(f47(f47(f27(f53(x11232,a2)),x11231),x11233),x11232)),f21(f47(f47(f14(f53(x11232,a2)),x11231),x11233),x11232))
% 1.23/1.27 [1128]~P7(x11282,x11281)+E(f36(f21(f47(f47(f14(f53(x11281,a2)),x11282),f40(x11283,f4(f53(x11281,a2)),x11281)),x11281)),f21(f40(x11283,x11282,x11281),x11281))
% 1.23/1.27 [730]P13(x7301,x7302)+~P12(x7303,x7304,x7301,x7302)
% 1.23/1.27 [465]E(x4651,x4652)+~E(f19(x4653,x4651),f19(x4654,x4652))
% 1.23/1.27 [466]E(x4661,x4662)+~E(f19(x4661,x4663),f19(x4662,x4664))
% 1.23/1.27 [830]~P7(x8302,x8303)+P7(f41(x8301,x8302,x8303,x8304),x8304)
% 1.23/1.27 [1133]~P9(x11332,x11331,x11333,x11334)+P9(f26(x11331,x11332,x11333,x11334),f41(x11332,x11331,x11333,x11334),x11334,x11333)
% 1.23/1.27 [499]~P14(x4991,x4994)+E(f47(f47(x4991,x4992),x4993),f47(f47(x4991,x4993),x4992))
% 1.23/1.27 [654]~P50(f47(x6542,x6544))+P50(f47(f40(x6541,x6542,x6543),x6544))
% 1.23/1.27 [696]P8(x6961,x6962,x6963)+~P8(x6961,f40(x6964,x6962,f49(x6963)),x6963)
% 1.23/1.27 [772]~E(f41(x7723,x7721,x7722,x7724),f4(f53(x7724,a2)))+E(x7721,f4(f53(x7722,a2)))
% 1.23/1.27 [798]P50(f46(x7981,x7984,x7982))+E(f45(f6(x7981,x7982,x7983),x7984,x7983,x7982),f4(f53(x7983,a2)))
% 1.23/1.27 [801]~P39(x8011)+E(f47(f47(f27(f53(x8011,a2)),f43(x8012,x8013,x8011)),f43(x8013,x8014,x8011)),f4(f53(x8011,a2)))
% 1.23/1.27 [802]~P39(x8021)+E(f47(f47(f27(f53(x8021,a2)),f43(x8022,x8023,x8021)),f42(x8023,x8024,x8021)),f4(f53(x8021,a2)))
% 1.23/1.27 [803]~P39(x8031)+E(f47(f47(f27(f53(x8031,a2)),f42(x8032,x8033,x8031)),f44(x8033,x8034,x8031)),f4(f53(x8031,a2)))
% 1.23/1.27 [804]~P39(x8041)+E(f47(f47(f27(f53(x8041,a2)),f44(x8042,x8043,x8041)),f44(x8043,x8044,x8041)),f4(f53(x8041,a2)))
% 1.23/1.27 [806]~P50(f46(x8061,x8063,x8064))+P50(f46(x8061,f40(x8062,x8063,x8064),x8064))
% 1.23/1.27 [837]~P50(f46(x8371,x8374,x8372))+E(f45(f6(x8371,x8372,x8373),x8374,x8373,x8372),f37(f53(x8373,a2)))
% 1.23/1.27 [846]~P8(x8461,f40(x8462,x8464,f49(x8463)),x8463)+P8(x8461,f40(x8462,f4(f53(f49(x8463),a2)),f49(x8463)),x8463)
% 1.23/1.27 [1003]~P9(x10031,x10032,x10033,x10034)+E(f21(f41(x10031,x10032,x10033,x10034),x10034),f21(x10032,x10033))
% 1.23/1.27 [1070]~P9(x10702,f37(f53(x10701,a2)),x10701,x10703)+E(f47(f26(f37(f53(x10701,a2)),x10702,x10701,x10703),f47(x10702,x10704)),x10704)
% 1.23/1.27 [1089]~P9(x10891,f37(f53(x10893,a2)),x10893,x10894)+E(f45(x10891,f41(x10891,x10892,x10893,x10894),x10893,x10894),x10892)
% 1.23/1.27 [1134]~P9(x11342,x11341,x11343,x11344)+E(f41(f26(x11341,x11342,x11343,x11344),f41(x11342,x11341,x11343,x11344),x11344,x11343),x11341)
% 1.23/1.27 [1208]P8(x12082,f40(f47(f47(f47(f31(a3),x12081),x12084),x12083),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x12081,f70(x12082,x12081,x12083,x12084)),f71(x12082,x12081,x12083,x12084)))
% 1.23/1.27 [1209]P8(x12092,f40(f47(f47(f47(f31(a3),x12091),x12094),x12093),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x12091,f72(x12092,x12091,x12093,x12094)),f76(x12092,x12091,x12093,x12094)))
% 1.23/1.27 [1210]P8(x12102,f40(f47(f47(f47(f31(a3),x12101),x12104),x12103),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x12101,f73(x12102,x12101,x12103,x12104)),f74(x12102,x12101,x12103,x12104)))
% 1.23/1.27 [1219]~P7(x12192,x12193)+P50(f47(f47(f34(a1),f21(f41(x12191,x12192,x12193,x12194),x12194)),f21(x12192,x12193)))
% 1.23/1.27 [1278]P8(x12781,f40(f47(f47(f47(f31(a3),x12782),x12783),x12784),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P8(x12781,f40(f47(f47(f47(f31(a3),f6(f47(f7(f35(a51),a51,a51,a2),f71(x12781,x12782,x12784,x12783)),f53(a51,a2),a3)),x12783),f6(f47(x12784,f70(x12781,x12782,x12784,x12783)),f53(a51,a2),a3)),f4(f53(f49(a3),a2)),f49(a3)),a3)
% 1.23/1.27 [539]~P13(x5391,x5394)+E(f47(f47(x5391,x5392),f47(f47(x5391,x5392),x5393)),f47(f47(x5391,x5392),x5393))
% 1.23/1.27 [797]E(x7971,f4(f53(x7972,a2)))+E(f41(f6(x7973,x7974,x7972),x7971,x7972,x7974),f40(x7973,f4(f53(x7974,a2)),x7974))
% 1.23/1.27 [1091]P50(f46(x10911,x10912,x10913))+~P50(f47(f47(f34(f53(x10913,a2)),f40(x10911,x10914,x10913)),x10912))
% 1.23/1.27 [1197]~P24(x11971)+E(f25(f8(f28(x11971),x11972,x11971,x11971,x11973),x11974,x11973,x11971),f47(f28(x11971),f25(x11972,x11974,x11973,x11971)))
% 1.23/1.27 [1236]~P9(x12362,f37(f53(x12363,a2)),x12363,x12361)+P50(f47(f47(f34(f53(x12361,a2)),f41(x12362,f47(f28(f53(x12363,a2)),x12364),x12363,x12361)),f47(f28(f53(x12361,a2)),f41(x12362,x12364,x12363,x12361))))
% 1.23/1.27 [675]~P1(x6751)+E(f47(f47(f38(x6751),x6752),f47(f47(f38(x6751),x6753),x6754)),f47(f47(f38(x6751),x6753),f47(f47(f38(x6751),x6752),x6754)))
% 1.23/1.27 [676]~P2(x6761)+E(f47(f47(f30(x6761),x6762),f47(f47(f30(x6761),x6763),x6764)),f47(f47(f30(x6761),x6763),f47(f47(f30(x6761),x6762),x6764)))
% 1.23/1.27 [677]~P38(x6771)+E(f47(f47(f30(x6771),x6772),f47(f47(f30(x6771),x6773),x6774)),f47(f47(f30(x6771),x6773),f47(f47(f30(x6771),x6772),x6774)))
% 1.23/1.27 [678]~P24(x6781)+E(f47(f47(f30(x6781),x6782),f47(f47(f30(x6781),x6783),x6784)),f47(f47(f30(x6781),x6783),f47(f47(f30(x6781),x6782),x6784)))
% 1.23/1.27 [679]~P38(x6791)+E(f47(f47(f29(x6791),x6792),f47(f47(f29(x6791),x6793),x6794)),f47(f47(f29(x6791),x6793),f47(f47(f29(x6791),x6792),x6794)))
% 1.23/1.27 [680]~P3(x6801)+E(f47(f47(f27(x6801),x6802),f47(f47(f27(x6801),x6803),x6804)),f47(f47(f27(x6801),x6803),f47(f47(f27(x6801),x6802),x6804)))
% 1.23/1.27 [681]~P21(x6811)+E(f47(f47(f27(x6811),x6812),f47(f47(f27(x6811),x6813),x6814)),f47(f47(f27(x6811),x6813),f47(f47(f27(x6811),x6812),x6814)))
% 1.23/1.27 [682]~P3(x6821)+E(f47(f47(f32(x6821),x6822),f47(f47(f32(x6821),x6823),x6824)),f47(f47(f32(x6821),x6823),f47(f47(f32(x6821),x6822),x6824)))
% 1.23/1.27 [683]~P22(x6831)+E(f47(f47(f32(x6831),x6832),f47(f47(f32(x6831),x6833),x6834)),f47(f47(f32(x6831),x6833),f47(f47(f32(x6831),x6832),x6834)))
% 1.23/1.27 [684]~P1(x6841)+E(f47(f47(f39(x6841),x6842),f47(f47(f39(x6841),x6843),x6844)),f47(f47(f39(x6841),x6843),f47(f47(f39(x6841),x6842),x6844)))
% 1.23/1.27 [807]P50(f46(x8073,x8072,x8071))+E(f47(f47(f27(f53(x8071,a2)),x8072),f40(x8073,x8074,x8071)),f47(f47(f27(f53(x8071,a2)),x8072),x8074))
% 1.23/1.27 [815]~P1(x8151)+E(f47(f47(f39(x8151),f47(f47(f38(x8151),x8152),x8153)),f47(f47(f38(x8151),x8152),x8154)),f47(f47(f38(x8151),x8152),f47(f47(f39(x8151),x8153),x8154)))
% 1.23/1.27 [816]~P32(x8161)+E(f47(f47(f27(x8161),f47(f47(f30(x8161),x8162),x8163)),f47(f47(f30(x8161),x8162),x8164)),f47(f47(f30(x8161),x8162),f47(f47(f27(x8161),x8163),x8164)))
% 1.23/1.27 [817]~P34(x8171)+E(f47(f47(f27(x8171),f47(f47(f30(x8171),x8172),x8173)),f47(f47(f30(x8171),x8172),x8174)),f47(f47(f30(x8171),x8172),f47(f47(f27(x8171),x8173),x8174)))
% 1.23/1.27 [818]~P32(x8181)+E(f47(f47(f32(x8181),f47(f47(f30(x8181),x8182),x8183)),f47(f47(f30(x8181),x8182),x8184)),f47(f47(f30(x8181),x8182),f47(f47(f32(x8181),x8183),x8184)))
% 1.23/1.27 [819]~P35(x8191)+E(f47(f47(f32(x8191),f47(f47(f30(x8191),x8192),x8193)),f47(f47(f30(x8191),x8192),x8194)),f47(f47(f30(x8191),x8192),f47(f47(f32(x8191),x8193),x8194)))
% 1.23/1.27 [820]~P38(x8201)+E(f47(f47(f30(x8201),f47(f47(f29(x8201),x8202),x8203)),f47(f47(f29(x8201),x8202),x8204)),f47(f47(f29(x8201),x8202),f47(f47(f30(x8201),x8203),x8204)))
% 1.23/1.27 [821]~P20(x8211)+E(f47(f47(f32(x8211),f47(f47(f27(x8211),x8212),x8213)),f47(f47(f27(x8211),x8212),x8214)),f47(f47(f27(x8211),x8212),f47(f47(f32(x8211),x8213),x8214)))
% 1.23/1.27 [822]~P20(x8221)+E(f47(f47(f27(x8221),f47(f47(f32(x8221),x8222),x8223)),f47(f47(f32(x8221),x8222),x8224)),f47(f47(f32(x8221),x8222),f47(f47(f27(x8221),x8223),x8224)))
% 1.23/1.27 [823]~P1(x8231)+E(f47(f47(f38(x8231),f47(f47(f39(x8231),x8232),x8233)),f47(f47(f39(x8231),x8232),x8234)),f47(f47(f39(x8231),x8232),f47(f47(f38(x8231),x8233),x8234)))
% 1.23/1.27 [863]P50(f46(x8632,x8634,x8631))+E(f47(f47(f27(f53(x8631,a2)),f40(x8632,x8633,x8631)),x8634),f47(f47(f27(f53(x8631,a2)),x8633),x8634))
% 1.23/1.27 [900]~P50(f46(x9002,x9004,x9001))+E(f47(f47(f14(f53(x9001,a2)),f40(x9002,x9003,x9001)),x9004),f47(f47(f14(f53(x9001,a2)),x9003),x9004))
% 1.23/1.27 [1029]P50(f47(f47(f34(f53(x10291,a2)),x10292),f40(x10293,x10294,x10291)))+~P50(f47(f47(f34(f53(x10291,a2)),x10292),x10294))
% 1.23/1.27 [1036]P7(f47(f47(f14(f53(x10361,a2)),x10362),f40(x10363,x10364,x10361)),x10361)+~P7(f47(f47(f14(f53(x10361,a2)),x10362),x10364),x10361)
% 1.23/1.27 [1069]~P7(f47(f47(f14(f53(x10691,a2)),x10692),f40(x10694,x10693,x10691)),x10691)+P7(f47(f47(f14(f53(x10691,a2)),x10692),x10693),x10691)
% 1.23/1.27 [1119]P50(f47(f47(f34(f53(x11191,a2)),f40(x11192,x11193,x11191)),f40(x11192,x11194,x11191)))+~P50(f47(f47(f34(f53(x11191,a2)),x11193),x11194))
% 1.23/1.27 [1122]~P50(f47(f47(f34(f53(x11221,a2)),f40(x11224,x11222,x11221)),x11223))+P50(f47(f47(f34(f53(x11221,a2)),x11222),x11223))
% 1.23/1.27 [741]~P1(x7411)+E(f47(f47(f38(x7411),f47(f47(f38(x7411),x7412),x7413)),x7414),f47(f47(f38(x7411),x7412),f47(f47(f38(x7411),x7413),x7414)))
% 1.23/1.27 [742]~P2(x7421)+E(f47(f47(f30(x7421),f47(f47(f30(x7421),x7422),x7423)),x7424),f47(f47(f30(x7421),x7422),f47(f47(f30(x7421),x7423),x7424)))
% 1.23/1.27 [743]~P38(x7431)+E(f47(f47(f30(x7431),f47(f47(f30(x7431),x7432),x7433)),x7434),f47(f47(f30(x7431),x7432),f47(f47(f30(x7431),x7433),x7434)))
% 1.23/1.27 [744]~P23(x7441)+E(f47(f47(f30(x7441),f47(f47(f30(x7441),x7442),x7443)),x7444),f47(f47(f30(x7441),x7442),f47(f47(f30(x7441),x7443),x7444)))
% 1.23/1.27 [745]~P38(x7451)+E(f47(f47(f29(x7451),f47(f47(f29(x7451),x7452),x7453)),x7454),f47(f47(f29(x7451),x7452),f47(f47(f29(x7451),x7453),x7454)))
% 1.23/1.27 [746]~P26(x7461)+E(f47(f47(f29(x7461),f47(f47(f29(x7461),x7462),x7463)),x7464),f47(f47(f29(x7461),x7462),f47(f47(f29(x7461),x7463),x7464)))
% 1.23/1.27 [747]~P3(x7471)+E(f47(f47(f27(x7471),f47(f47(f27(x7471),x7472),x7473)),x7474),f47(f47(f27(x7471),x7472),f47(f47(f27(x7471),x7473),x7474)))
% 1.23/1.27 [748]~P21(x7481)+E(f47(f47(f27(x7481),f47(f47(f27(x7481),x7482),x7483)),x7484),f47(f47(f27(x7481),x7482),f47(f47(f27(x7481),x7483),x7484)))
% 1.23/1.27 [749]~P3(x7491)+E(f47(f47(f32(x7491),f47(f47(f32(x7491),x7492),x7493)),x7494),f47(f47(f32(x7491),x7492),f47(f47(f32(x7491),x7493),x7494)))
% 1.23/1.27 [750]~P22(x7501)+E(f47(f47(f32(x7501),f47(f47(f32(x7501),x7502),x7503)),x7504),f47(f47(f32(x7501),x7502),f47(f47(f32(x7501),x7503),x7504)))
% 1.23/1.27 [751]~P1(x7511)+E(f47(f47(f39(x7511),f47(f47(f39(x7511),x7512),x7513)),x7514),f47(f47(f39(x7511),x7512),f47(f47(f39(x7511),x7513),x7514)))
% 1.23/1.28 [813]~P38(x8131)+E(f47(f47(f30(x8131),f47(f47(f30(x8131),x8132),x8133)),x8134),f47(f47(f30(x8131),f47(f47(f30(x8131),x8132),x8134)),x8133))
% 1.23/1.28 [814]~P38(x8141)+E(f47(f47(f29(x8141),f47(f47(f29(x8141),x8142),x8143)),x8144),f47(f47(f29(x8141),f47(f47(f29(x8141),x8142),x8144)),x8143))
% 1.23/1.28 [865]~P1(x8651)+E(f47(f47(f39(x8651),f47(f47(f38(x8651),x8652),x8653)),f47(f47(f38(x8651),x8654),x8653)),f47(f47(f38(x8651),f47(f47(f39(x8651),x8652),x8654)),x8653))
% 1.23/1.28 [866]~P36(x8661)+E(f47(f47(f38(x8661),f47(f47(f30(x8661),x8662),x8663)),f47(f47(f30(x8661),x8664),x8663)),f47(f47(f30(x8661),f47(f47(f38(x8661),x8662),x8664)),x8663))
% 1.23/1.28 [867]~P32(x8671)+E(f47(f47(f27(x8671),f47(f47(f30(x8671),x8672),x8673)),f47(f47(f30(x8671),x8674),x8673)),f47(f47(f30(x8671),f47(f47(f27(x8671),x8672),x8674)),x8673))
% 1.23/1.28 [868]~P34(x8681)+E(f47(f47(f27(x8681),f47(f47(f30(x8681),x8682),x8683)),f47(f47(f30(x8681),x8684),x8683)),f47(f47(f30(x8681),f47(f47(f27(x8681),x8682),x8684)),x8683))
% 1.23/1.28 [869]~P32(x8691)+E(f47(f47(f32(x8691),f47(f47(f30(x8691),x8692),x8693)),f47(f47(f30(x8691),x8694),x8693)),f47(f47(f30(x8691),f47(f47(f32(x8691),x8692),x8694)),x8693))
% 1.23/1.28 [870]~P35(x8701)+E(f47(f47(f32(x8701),f47(f47(f30(x8701),x8702),x8703)),f47(f47(f30(x8701),x8704),x8703)),f47(f47(f30(x8701),f47(f47(f32(x8701),x8702),x8704)),x8703))
% 1.23/1.28 [871]~P36(x8711)+E(f47(f47(f39(x8711),f47(f47(f30(x8711),x8712),x8713)),f47(f47(f30(x8711),x8714),x8713)),f47(f47(f30(x8711),f47(f47(f39(x8711),x8712),x8714)),x8713))
% 1.23/1.28 [873]~P41(x8731)+E(f47(f47(f30(x8731),f47(f47(f29(x8731),x8732),x8733)),f47(f47(f29(x8731),x8734),x8733)),f47(f47(f29(x8731),f47(f47(f30(x8731),x8732),x8734)),x8733))
% 1.23/1.28 [874]~P33(x8741)+E(f47(f47(f38(x8741),f47(f47(f14(x8741),x8742),x8743)),f47(f47(f14(x8741),x8744),x8743)),f47(f47(f14(x8741),f47(f47(f38(x8741),x8742),x8744)),x8743))
% 1.23/1.28 [875]~P33(x8751)+E(f47(f47(f39(x8751),f47(f47(f14(x8751),x8752),x8753)),f47(f47(f14(x8751),x8754),x8753)),f47(f47(f14(x8751),f47(f47(f39(x8751),x8752),x8754)),x8753))
% 1.23/1.28 [876]~P20(x8761)+E(f47(f47(f32(x8761),f47(f47(f27(x8761),x8762),x8763)),f47(f47(f27(x8761),x8764),x8763)),f47(f47(f27(x8761),f47(f47(f32(x8761),x8762),x8764)),x8763))
% 1.23/1.28 [877]~P20(x8771)+E(f47(f47(f27(x8771),f47(f47(f32(x8771),x8772),x8773)),f47(f47(f32(x8771),x8774),x8773)),f47(f47(f32(x8771),f47(f47(f27(x8771),x8772),x8774)),x8773))
% 1.23/1.28 [878]~P1(x8781)+E(f47(f47(f38(x8781),f47(f47(f39(x8781),x8782),x8783)),f47(f47(f39(x8781),x8784),x8783)),f47(f47(f39(x8781),f47(f47(f38(x8781),x8782),x8784)),x8783))
% 1.23/1.28 [879]~P38(x8791)+E(f47(f47(f30(x8791),f47(f47(f29(x8791),x8792),x8793)),f47(f47(f29(x8791),x8794),x8793)),f47(f47(f29(x8791),f47(f47(f30(x8791),x8792),x8794)),x8793))
% 1.23/1.28 [886]~P50(f47(x8863,x8864))+P50(f47(f47(f47(f32(f53(x8861,a2)),x8862),x8863),x8864))
% 1.23/1.28 [887]~P50(f47(x8872,x8874))+P50(f47(f47(f47(f32(f53(x8871,a2)),x8872),x8873),x8874))
% 1.23/1.28 [943]~P50(f46(x9431,x9433,x9432))+E(f40(x9431,f47(f47(f27(f53(x9432,a2)),x9433),x9434),x9432),f47(f47(f27(f53(x9432,a2)),x9433),f40(x9431,x9434,x9432)))
% 1.23/1.28 [956]P50(f46(x9561,x9564,x9562))+E(f40(x9561,f47(f47(f14(f53(x9562,a2)),x9563),x9564),x9562),f47(f47(f14(f53(x9562,a2)),f40(x9561,x9563,x9562)),x9564))
% 1.23/1.28 [972]~P50(f46(x9721,x9724,x9722))+P50(f46(x9721,f47(f47(f32(f53(x9722,a2)),x9723),x9724),x9722))
% 1.23/1.28 [973]~P50(f46(x9731,x9733,x9732))+P50(f46(x9731,f47(f47(f32(f53(x9732,a2)),x9733),x9734),x9732))
% 1.23/1.28 [986]~P50(f46(x9861,x9864,x9862))+E(f40(x9861,f47(f47(f27(f53(x9862,a2)),x9863),x9864),x9862),f47(f47(f27(f53(x9862,a2)),f40(x9861,x9863,x9862)),x9864))
% 1.23/1.28 [1032]P50(f47(x10321,x10322))+~P50(f47(f47(f47(f27(f53(x10323,a2)),x10324),x10321),x10322))
% 1.23/1.28 [1033]P50(f47(x10331,x10332))+~P50(f47(f47(f47(f27(f53(x10333,a2)),x10331),x10334),x10332))
% 1.23/1.28 [1078]P50(f46(x10781,x10782,x10783))+~P50(f46(x10781,f47(f47(f14(f53(x10783,a2)),x10782),x10784),x10783))
% 1.23/1.28 [1079]P50(f46(x10791,x10792,x10793))+~P50(f46(x10791,f47(f47(f27(f53(x10793,a2)),x10794),x10792),x10793))
% 1.23/1.28 [1080]P50(f46(x10801,x10802,x10803))+~P50(f46(x10801,f47(f47(f27(f53(x10803,a2)),x10802),x10804),x10803))
% 1.23/1.28 [1096]~P50(f46(x10961,x10962,x10963))+~P50(f46(x10961,f47(f47(f14(f53(x10963,a2)),x10964),x10962),x10963))
% 1.23/1.28 [1105]P50(f46(x11054,x11053,x11052))+E(f25(x11051,f47(f47(f14(f53(x11052,a2)),x11053),f40(x11054,f4(f53(x11052,a2)),x11052)),x11052,a1),f25(x11051,x11053,x11052,a1))
% 1.23/1.28 [1135]P50(f47(f47(f34(f53(x11351,a2)),x11352),x11353))+~P50(f47(f47(f34(f53(x11351,a2)),x11352),f47(f47(f27(f53(x11351,a2)),x11354),x11353)))
% 1.23/1.28 [1136]P50(f47(f47(f34(f53(x11361,a2)),x11362),x11363))+~P50(f47(f47(f34(f53(x11361,a2)),x11362),f47(f47(f27(f53(x11361,a2)),x11363),x11364)))
% 1.23/1.28 [1161]~P50(f46(x11614,x11613,x11612))+E(f25(x11611,f47(f47(f14(f53(x11612,a2)),x11613),f40(x11614,f4(f53(x11612,a2)),x11612)),x11612,a1),f47(f47(f14(a1),f25(x11611,x11613,x11612,a1)),f47(x11611,x11614)))
% 1.23/1.28 [1183]~P3(x11831)+P50(f47(f47(f34(x11831),f47(f47(f32(x11831),x11832),f47(f47(f27(x11831),x11833),x11834))),f47(f47(f27(x11831),f47(f47(f32(x11831),x11832),x11833)),f47(f47(f32(x11831),x11832),x11834))))
% 1.23/1.28 [1184]~P1(x11841)+P50(f47(f47(f34(x11841),f47(f47(f39(x11841),x11842),f47(f47(f38(x11841),x11843),x11844))),f47(f47(f38(x11841),f47(f47(f39(x11841),x11842),x11843)),f47(f47(f39(x11841),x11842),x11844))))
% 1.23/1.28 [1203]~P3(x12031)+P50(f47(f47(f34(x12031),f47(f47(f32(x12031),f47(f47(f27(x12031),x12032),x12033)),f47(f47(f27(x12031),x12032),x12034))),f47(f47(f27(x12031),x12032),f47(f47(f32(x12031),x12033),x12034))))
% 1.23/1.28 [1204]~P1(x12041)+P50(f47(f47(f34(x12041),f47(f47(f39(x12041),f47(f47(f38(x12041),x12042),x12043)),f47(f47(f38(x12041),x12042),x12044))),f47(f47(f38(x12041),x12042),f47(f47(f39(x12041),x12043),x12044))))
% 1.23/1.28 [1129]E(f47(f47(f32(f53(x11291,a2)),f47(f47(f27(f53(x11291,a2)),x11292),x11293)),x11294),f47(f47(f27(f53(x11291,a2)),x11292),f47(f47(f32(f53(x11291,a2)),x11293),x11294)))+~P50(f47(f47(f34(f53(x11291,a2)),x11294),x11292))
% 1.23/1.28 [1160]~E(f47(f47(f32(f53(x11601,a2)),f47(f47(f27(f53(x11601,a2)),x11603),x11604)),x11602),f47(f47(f27(f53(x11601,a2)),x11603),f47(f47(f32(f53(x11601,a2)),x11604),x11602)))+P50(f47(f47(f34(f53(x11601,a2)),x11602),x11603))
% 1.23/1.28 [1175]P50(f47(f47(f34(f53(x11751,a2)),x11752),x11753))+~P50(f47(f47(f34(f53(x11751,a2)),f47(f47(f32(f53(x11751,a2)),x11754),x11752)),x11753))
% 1.23/1.28 [1176]P50(f47(f47(f34(f53(x11761,a2)),x11762),x11763))+~P50(f47(f47(f34(f53(x11761,a2)),f47(f47(f32(f53(x11761,a2)),x11762),x11764)),x11763))
% 1.23/1.28 [1185]~P50(f47(f47(f34(f53(x11851,a2)),x11852),f47(f47(f32(f53(x11851,a2)),x11853),x11854)))+P50(f47(f47(f34(f53(x11851,a2)),f47(f47(f14(f53(x11851,a2)),x11852),x11853)),x11854))
% 1.23/1.28 [1195]P50(f47(f47(f34(f53(x11951,a2)),x11952),f47(f47(f32(f53(x11951,a2)),x11953),x11954)))+~P50(f47(f47(f34(f53(x11951,a2)),f47(f47(f14(f53(x11951,a2)),x11952),x11953)),x11954))
% 1.23/1.28 [954]P9(x9541,x9542,x9543,x9544)+~P9(x9541,f40(x9545,x9542,x9543),x9543,x9544)
% 1.23/1.28 [1155]~E(f22(x11551,x11552,x11553,x11554,x11555),x11551)+E(f47(x11551,x11552),x11553)
% 1.23/1.28 [755]~P12(x7553,x7554,x7551,x7555)+E(f47(f47(x7551,x7552),x7552),x7552)
% 1.23/1.28 [1039]~P50(f46(x10392,x10393,x10394))+E(f40(f47(x10391,x10392),f41(x10391,x10393,x10394,x10395),x10395),f41(x10391,x10393,x10394,x10395))
% 1.23/1.28 [1073]~P50(f47(x10732,f47(x10731,x10735)))+P50(f47(f45(x10731,x10732,x10733,x10734),x10735))
% 1.23/1.28 [1110]~P50(f46(x11102,x11103,x11104))+P50(f46(f47(x11101,x11102),f41(x11101,x11103,x11104,x11105),x11105))
% 1.23/1.28 [1118]~P50(f46(f47(x11182,x11181),x11183,x11185))+P50(f46(x11181,f45(x11182,x11183,x11184,x11185),x11184))
% 1.23/1.28 [1138]P50(f47(x11381,f47(x11382,x11383)))+~P50(f47(f45(x11382,x11381,x11384,x11385),x11383))
% 1.23/1.28 [1152]~P50(f46(x11522,f45(x11521,x11523,x11525,x11524),x11525))+P50(f46(f47(x11521,x11522),x11523,x11524))
% 1.23/1.28 [1252]E(x12521,x12522)+~P10(x12523,x12522,f4(f53(x12524,a2)),x12521,x12524,x12525)
% 1.23/1.28 [618]~P14(x6181,x6185)+E(f47(f47(x6181,x6182),f47(f47(x6181,x6183),x6184)),f47(f47(x6181,x6183),f47(f47(x6181,x6182),x6184)))
% 1.23/1.28 [882]~P50(f46(x8825,x8824,x8823))+E(f41(f6(x8821,x8822,x8823),x8824,x8823,x8822),f40(x8821,f4(f53(x8822,a2)),x8822))
% 1.23/1.28 [1240]~P7(f41(x12402,f37(f53(x12405,a2)),x12405,x12403),x12403)+P7(f41(f8(x12401,x12402,x12403,x12404,x12405),f37(f53(x12405,a2)),x12405,x12404),x12404)
% 1.23/1.28 [700]~P14(x7001,x7005)+E(f47(f47(x7001,f47(f47(x7001,x7002),x7003)),x7004),f47(f47(x7001,x7002),f47(f47(x7001,x7003),x7004)))
% 1.23/1.28 [923]~P38(x9231)+E(f47(f47(f30(x9231),f47(f47(f30(x9231),x9232),x9233)),f47(f47(f30(x9231),x9234),x9235)),f47(f47(f30(x9231),f47(f47(f30(x9231),x9232),x9234)),f47(f47(f30(x9231),x9233),x9235)))
% 1.23/1.28 [924]~P38(x9241)+E(f47(f47(f29(x9241),f47(f47(f29(x9241),x9242),x9243)),f47(f47(f29(x9241),x9244),x9245)),f47(f47(f29(x9241),f47(f47(f29(x9241),x9242),x9244)),f47(f47(f29(x9241),x9243),x9245)))
% 1.23/1.28 [928]~P1(x9281)+E(f43(f47(f47(f39(x9281),x9282),x9283),f47(f47(f38(x9281),x9284),x9285),x9281),f47(f47(f27(f53(x9281,a2)),f43(x9282,x9284,x9281)),f43(x9283,x9285,x9281)))
% 1.23/1.28 [929]~P1(x9291)+E(f42(f47(f47(f39(x9291),x9292),x9293),f47(f47(f38(x9291),x9294),x9295),x9291),f47(f47(f27(f53(x9291,a2)),f42(x9292,x9294,x9291)),f42(x9293,x9295,x9291)))
% 1.23/1.28 [930]~P1(x9301)+E(f44(f47(f47(f39(x9301),x9302),x9303),f47(f47(f38(x9301),x9304),x9305),x9301),f47(f47(f27(f53(x9301,a2)),f44(x9302,x9304,x9301)),f44(x9303,x9305,x9301)))
% 1.23/1.28 [1012]~P9(x10121,x10123,x10122,x10125)+P9(x10121,f47(f47(f14(f53(x10122,a2)),x10123),x10124),x10122,x10125)
% 1.23/1.28 [1062]P9(x10621,x10622,x10623,x10624)+~P9(x10621,f47(f47(f32(f53(x10623,a2)),x10625),x10622),x10623,x10624)
% 1.23/1.28 [1063]P9(x10631,x10632,x10633,x10634)+~P9(x10631,f47(f47(f32(f53(x10633,a2)),x10632),x10635),x10633,x10634)
% 1.23/1.28 [1198]~P43(x11981)+E(f25(f8(f47(f29(x11981),x11982),x11983,x11981,x11981,x11984),x11985,x11984,x11981),f47(f47(f29(x11981),x11982),f25(x11983,x11985,x11984,x11981)))
% 1.23/1.28 [1206]P50(f47(f47(f34(f53(x12061,a2)),f45(x12062,x12063,x12061,x12064)),f45(x12062,x12065,x12061,x12064)))+~P50(f47(f47(f34(f53(x12064,a2)),x12063),x12065))
% 1.23/1.28 [1207]P50(f47(f47(f34(f53(x12071,a2)),f41(x12072,x12073,x12074,x12071)),f41(x12072,x12075,x12074,x12071)))+~P50(f47(f47(f34(f53(x12074,a2)),x12073),x12075))
% 1.23/1.28 [1247]~P2(x12471)+E(f25(f18(f8(f30(x12471),x12472,x12471,f53(x12471,x12471),x12473),x12474,x12473,x12471,x12471),x12475,x12473,x12471),f47(f47(f30(x12471),f25(x12472,x12475,x12473,x12471)),f25(x12474,x12475,x12473,x12471)))
% 1.23/1.28 [1248]~P24(x12481)+E(f25(f18(f8(f14(x12481),x12482,x12481,f53(x12481,x12481),x12483),x12484,x12483,x12481,x12481),x12485,x12483,x12481),f47(f47(f14(x12481),f25(x12482,x12485,x12483,x12481)),f25(x12484,x12485,x12483,x12481)))
% 1.23/1.28 [1178]~P9(x11782,f37(f53(x11784,a2)),x11784,x11781)+E(f47(f47(f14(f53(x11781,a2)),f41(x11782,x11783,x11784,x11781)),f41(x11782,x11785,x11784,x11781)),f41(x11782,f47(f47(f14(f53(x11784,a2)),x11783),x11785),x11784,x11781))
% 1.23/1.28 [1179]~P9(x11792,f37(f53(x11794,a2)),x11794,x11791)+E(f47(f47(f27(f53(x11791,a2)),f41(x11792,x11793,x11794,x11791)),f41(x11792,x11795,x11794,x11791)),f41(x11792,f47(f47(f27(f53(x11794,a2)),x11793),x11795),x11794,x11791))
% 1.23/1.28 [1194]E(f47(x11941,x11942),x11943)+~P50(f46(x11942,f45(x11941,f40(x11943,f4(f53(x11944,a2)),x11944),x11945,x11944),x11945))
% 1.23/1.28 [1255]~P43(x12551)+E(f25(f47(f7(f8(f29(x12551),x12552,x12551,f53(x12551,x12551),x12553),x12553,x12551,x12551),x12554),x12555,x12553,x12551),f47(f47(f29(x12551),f25(x12552,x12555,x12553,x12551)),x12554))
% 1.23/1.28 [1217]~P9(x12172,f47(f47(f32(f53(x12173,a2)),x12174),x12175),x12173,x12171)+E(f47(f47(f27(f53(x12171,a2)),f41(x12172,f47(f47(f14(f53(x12173,a2)),x12174),x12175),x12173,x12171)),f41(x12172,f47(f47(f14(f53(x12173,a2)),x12175),x12174),x12173,x12171)),f4(f53(x12171,a2)))
% 1.23/1.28 [1243]~P9(x12431,f40(x12432,x12433,x12434),x12434,x12435)+~P50(f46(f47(x12431,x12432),f41(x12431,f47(f47(f14(f53(x12434,a2)),x12433),f40(x12432,f4(f53(x12434,a2)),x12434)),x12434,x12435),x12435))
% 1.23/1.28 [1149]~P44(x11491)+E(f47(f47(f30(x11491),f47(f47(f29(x11491),x11492),x11493)),f47(f47(f30(x11491),f47(f47(f29(x11491),x11494),x11493)),x11495)),f47(f47(f30(x11491),f47(f47(f29(x11491),f47(f47(f30(x11491),x11492),x11494)),x11493)),x11495))
% 1.23/1.28 [1181]~P46(x11811)+E(f47(f47(f30(x11811),f47(f47(f29(x11811),x11812),x11813)),f47(f47(f30(x11811),f47(f47(f29(x11811),f47(f47(f14(x11811),x11814),x11812)),x11813)),x11815)),f47(f47(f30(x11811),f47(f47(f29(x11811),x11814),x11813)),x11815))
% 1.23/1.28 [1251]P7(x12511,x12512)+~P10(x12513,x12514,x12511,x12515,x12512,x12516)
% 1.23/1.28 [775]~P12(x7754,x7755,x7751,x7756)+E(f47(f47(x7751,x7752),x7753),f47(f47(x7751,x7753),x7752))
% 1.23/1.28 [1172]E(x11721,x11722)+E(f47(f22(x11723,x11721,x11724,x11725,x11726),x11722),f47(x11723,x11722))
% 1.23/1.28 [1192]P50(f46(x11922,x11926,x11924))+E(f41(f22(x11921,x11922,x11923,x11924,x11925),x11926,x11924,x11925),f41(x11921,x11926,x11924,x11925))
% 1.23/1.28 [834]~P12(x8344,x8345,x8341,x8346)+E(f47(f47(x8341,x8342),f47(f47(x8341,x8342),x8343)),f47(f47(x8341,x8342),x8343))
% 1.23/1.28 [945]~P12(x9451,x9455,x9452,x9456)+P50(f47(f47(x9451,f47(f47(x9452,x9453),x9454)),x9454))
% 1.23/1.28 [946]~P12(x9461,x9465,x9462,x9466)+P50(f47(f47(x9461,f47(f47(x9462,x9463),x9464)),x9463))
% 1.23/1.28 [1226]~P50(f46(x12265,x12264,x12263))+E(f40(x12261,f41(x12262,f47(f47(f14(f53(x12263,a2)),x12264),f40(x12265,f4(f53(x12263,a2)),x12263)),x12263,x12266),x12266),f41(f22(x12262,x12265,x12261,x12263,x12266),x12264,x12263,x12266))
% 1.23/1.28 [1244]E(x12441,x12442)+E(f22(f22(x12443,x12441,x12444,x12445,x12446),x12442,x12447,x12445,x12446),f22(f22(x12443,x12442,x12447,x12445,x12446),x12441,x12444,x12445,x12446))
% 1.23/1.28 [881]~P12(x8815,x8816,x8811,x8817)+E(f47(f47(x8811,x8812),f47(f47(x8811,x8813),x8814)),f47(f47(x8811,x8813),f47(f47(x8811,x8812),x8814)))
% 1.23/1.28 [717]E(x7171,x7172)+~E(f47(f47(f47(f31(x7173),x7174),x7175),x7171),f47(f47(f47(f31(x7173),x7176),x7177),x7172))
% 1.23/1.28 [718]E(x7181,x7182)+~E(f47(f47(f47(f31(x7183),x7184),x7181),x7185),f47(f47(f47(f31(x7183),x7186),x7182),x7187))
% 1.23/1.28 [719]E(x7191,x7192)+~E(f47(f47(f47(f31(x7193),x7191),x7194),x7195),f47(f47(f47(f31(x7193),x7192),x7196),x7197))
% 1.23/1.28 [917]~P12(x9175,x9176,x9171,x9177)+E(f47(f47(x9171,f47(f47(x9171,x9172),x9173)),x9174),f47(f47(x9171,x9172),f47(f47(x9171,x9173),x9174)))
% 1.23/1.28 [440]~P1(x4401)+~P21(x4401)+E(f38(x4401),f27(x4401))
% 1.23/1.28 [441]~P1(x4411)+~P22(x4411)+E(f39(x4411),f32(x4411))
% 1.23/1.28 [464]~P16(x4642)+~P16(x4641)+P16(f53(x4641,x4642))
% 1.23/1.28 [544]E(x5441,x5442)+P50(f47(f47(f5(a1),x5442),x5441))+P50(f47(f47(f5(a1),x5441),x5442))
% 1.23/1.28 [606]E(x6061,x6062)+P50(f47(f47(f5(a1),x6061),x6062))+~P50(f47(f47(f34(a1),x6061),x6062))
% 1.23/1.28 [617]E(x6171,f37(f53(x6172,a2)))+~P7(f37(f53(x6172,a2)),x6172)+~E(f21(x6171,x6172),f21(f37(f53(x6172,a2)),x6172))
% 1.23/1.28 [621]E(x6211,x6212)+~P50(f47(f47(f5(a1),x6212),f36(x6211)))+P50(f47(f47(f5(a1),x6212),x6211))
% 1.23/1.28 [623]E(x6231,x6232)+~P50(f47(f47(f5(a1),x6231),f36(x6232)))+P50(f47(f47(f5(a1),x6231),x6232))
% 1.23/1.28 [628]E(x6281,f36(x6282))+~P50(f47(f47(f34(a1),x6281),f36(x6282)))+P50(f47(f47(f34(a1),x6281),x6282))
% 1.23/1.28 [629]~P7(x6292,x6291)+~P7(f37(f53(x6291,a2)),x6291)+P7(f47(f28(f53(x6291,a2)),x6292),x6291)
% 1.23/1.28 [630]E(f36(x6301),x6302)+~P50(f47(f47(f5(a1),x6301),x6302))+P50(f47(f47(f5(a1),f36(x6301)),x6302))
% 1.23/1.28 [663]E(x6631,x6632)+~P50(f47(f47(f34(a1),x6632),x6631))+~P50(f47(f47(f34(a1),x6631),x6632))
% 1.23/1.28 [674]~P7(x6742,x6741)+P7(f37(f53(x6741,a2)),x6741)+~P7(f47(f28(f53(x6741,a2)),x6742),x6741)
% 1.23/1.28 [692]E(x6921,x6922)+~P50(f47(f47(f5(a1),x6921),f36(x6922)))+~P50(f47(f47(f34(a1),x6922),x6921))
% 1.23/1.28 [698]~P6(x6981)+~P7(x6982,x6981)+E(f47(f47(f16(f27(x6981),x6981,x6981),f37(x6981)),x6982),f20(x6982,x6981))
% 1.23/1.28 [484]~P17(x4843)+E(x4841,x4842)+~E(f47(f28(x4843),x4841),f47(f28(x4843),x4842))
% 1.23/1.28 [485]~P31(x4853)+E(x4851,x4852)+~E(f47(f28(x4853),x4851),f47(f28(x4853),x4852))
% 1.23/1.28 [652]~P7(x6522,x6523)+P50(f46(x6521,x6522,x6523))+E(f21(f40(x6521,x6522,x6523),x6523),f36(f21(x6522,x6523)))
% 1.23/1.28 [697]~P7(x6972,x6973)+~P50(f46(x6971,x6972,x6973))+E(f21(f40(x6971,x6972,x6973),x6973),f21(x6972,x6973))
% 1.23/1.28 [1166]~P7(x11662,x11663)+P9(x11661,x11662,x11663,x11663)+~P50(f47(f47(f34(f53(x11663,a2)),x11662),f41(x11661,x11662,x11663,x11663)))
% 1.23/1.28 [1238]~P7(x12382,x12381)+~P50(f46(x12383,x12382,x12381))+P50(f47(f47(f5(a1),f21(f47(f47(f14(f53(x12381,a2)),x12382),f40(x12383,f4(f53(x12381,a2)),x12381)),x12381)),f21(x12382,x12381)))
% 1.23/1.28 [493]~P4(x4932)+E(x4931,f4(x4932))+~E(f47(f47(f32(x4932),x4933),x4931),f4(x4932))
% 1.23/1.28 [494]~P4(x4942)+E(x4941,f37(x4942))+~E(f47(f47(f27(x4942),x4943),x4941),f37(x4942))
% 1.23/1.28 [495]~P4(x4952)+E(x4951,f4(x4952))+~E(f47(f47(f32(x4952),x4951),x4953),f4(x4952))
% 1.23/1.28 [496]~P4(x4962)+E(x4961,f37(x4962))+~E(f47(f47(f27(x4962),x4961),x4963),f37(x4962))
% 1.23/1.28 [547]~P39(x5473)+E(f43(x5471,x5472,x5473),f4(f53(x5473,a2)))+P50(f47(f47(f5(x5473),x5471),x5472))
% 1.23/1.28 [548]~P39(x5483)+E(f42(x5481,x5482,x5483),f4(f53(x5483,a2)))+P50(f47(f47(f34(x5483),x5481),x5482))
% 1.23/1.28 [549]~P39(x5493)+E(f44(x5491,x5492,x5493),f4(f53(x5493,a2)))+P50(f47(f47(f5(x5493),x5491),x5492))
% 1.23/1.28 [550]~P39(x5501)+E(f4(f53(x5501,a2)),f43(x5502,x5503,x5501))+P50(f47(f47(f5(x5501),x5502),x5503))
% 1.23/1.28 [551]~P39(x5511)+E(f4(f53(x5511,a2)),f42(x5512,x5513,x5511))+P50(f47(f47(f34(x5511),x5512),x5513))
% 1.23/1.28 [552]~P39(x5521)+E(f4(f53(x5521,a2)),f44(x5522,x5523,x5521))+P50(f47(f47(f5(x5521),x5522),x5523))
% 1.23/1.28 [553]~P1(x5531)+~E(f47(f47(f38(x5531),x5532),x5533),x5532)+P50(f47(f47(f34(x5531),x5532),x5533))
% 1.23/1.28 [554]~P21(x5541)+~E(f47(f47(f27(x5541),x5542),x5543),x5542)+P50(f47(f47(f34(x5541),x5542),x5543))
% 1.23/1.28 [555]~P22(x5551)+~E(f47(f47(f32(x5551),x5552),x5553),x5553)+P50(f47(f47(f34(x5551),x5552),x5553))
% 1.23/1.28 [556]~P1(x5561)+~E(f47(f47(f39(x5561),x5562),x5563),x5563)+P50(f47(f47(f34(x5561),x5562),x5563))
% 1.23/1.28 [573]~P1(x5731)+P50(f47(f47(f34(x5731),x5733),x5732))+P50(f47(f47(f34(x5731),x5732),x5733))
% 1.23/1.28 [576]~P1(x5761)+P50(f47(f47(f5(x5761),x5763),x5762))+P50(f47(f47(f34(x5761),x5762),x5763))
% 1.23/1.28 [587]~P1(x5871)+E(f47(f47(f38(x5871),x5872),x5873),x5873)+~P50(f47(f47(f34(x5871),x5873),x5872))
% 1.23/1.28 [588]~P1(x5881)+E(f47(f47(f38(x5881),x5882),x5883),x5882)+~P50(f47(f47(f34(x5881),x5882),x5883))
% 1.23/1.28 [589]~P21(x5891)+E(f47(f47(f27(x5891),x5892),x5893),x5893)+~P50(f47(f47(f34(x5891),x5893),x5892))
% 1.23/1.28 [590]~P21(x5901)+E(f47(f47(f27(x5901),x5902),x5903),x5902)+~P50(f47(f47(f34(x5901),x5902),x5903))
% 1.23/1.28 [591]~P22(x5911)+E(f47(f47(f32(x5911),x5912),x5913),x5913)+~P50(f47(f47(f34(x5911),x5912),x5913))
% 1.23/1.28 [592]~P22(x5921)+E(f47(f47(f32(x5921),x5922),x5923),x5922)+~P50(f47(f47(f34(x5921),x5923),x5922))
% 1.23/1.28 [593]~P1(x5931)+E(f47(f47(f39(x5931),x5932),x5933),x5933)+~P50(f47(f47(f34(x5931),x5932),x5933))
% 1.23/1.28 [594]~P1(x5941)+E(f47(f47(f39(x5941),x5942),x5943),x5942)+~P50(f47(f47(f34(x5941),x5943),x5942))
% 1.23/1.28 [613]~P39(x6133)+E(f43(x6131,x6132,x6133),f4(f53(x6133,a2)))+~P50(f47(f47(f34(x6133),x6132),x6131))
% 1.23/1.28 [614]~P39(x6143)+E(f42(x6141,x6142,x6143),f4(f53(x6143,a2)))+~P50(f47(f47(f5(x6143),x6142),x6141))
% 1.23/1.28 [615]~P39(x6153)+E(f44(x6151,x6152,x6153),f4(f53(x6153,a2)))+~P50(f47(f47(f34(x6153),x6152),x6151))
% 1.23/1.28 [642]~P39(x6421)+~P50(f47(f47(f5(x6421),x6422),x6423))+P50(f47(f47(f34(x6421),x6422),x6423))
% 1.23/1.28 [643]~P40(x6431)+~P50(f47(f47(f5(x6431),x6432),x6433))+P50(f47(f47(f34(x6431),x6432),x6433))
% 1.23/1.28 [667]~P39(x6673)+~E(f43(x6671,x6672,x6673),f4(f53(x6673,a2)))+~P50(f47(f47(f5(x6673),x6671),x6672))
% 1.23/1.28 [668]~P39(x6683)+~E(f42(x6681,x6682,x6683),f4(f53(x6683,a2)))+~P50(f47(f47(f34(x6683),x6681),x6682))
% 1.23/1.28 [669]~P39(x6693)+~E(f44(x6691,x6692,x6693),f4(f53(x6693,a2)))+~P50(f47(f47(f5(x6693),x6691),x6692))
% 1.23/1.28 [670]~P39(x6701)+~E(f4(f53(x6701,a2)),f43(x6702,x6703,x6701))+~P50(f47(f47(f5(x6701),x6702),x6703))
% 1.23/1.28 [671]~P39(x6711)+~E(f4(f53(x6711,a2)),f42(x6712,x6713,x6711))+~P50(f47(f47(f34(x6711),x6712),x6713))
% 1.23/1.28 [672]~P39(x6721)+~E(f4(f53(x6721,a2)),f44(x6722,x6723,x6721))+~P50(f47(f47(f5(x6721),x6722),x6723))
% 1.23/1.28 [704]~P1(x7041)+~P50(f47(f47(f5(x7041),x7043),x7042))+~P50(f47(f47(f34(x7041),x7042),x7043))
% 1.23/1.28 [706]~P1(x7061)+~P50(f47(f47(f5(x7061),x7063),x7062))+~P50(f47(f47(f5(x7061),x7062),x7063))
% 1.23/1.28 [707]~P39(x7071)+~P50(f47(f47(f5(x7071),x7073),x7072))+~P50(f47(f47(f5(x7071),x7072),x7073))
% 1.23/1.28 [708]~P40(x7081)+~P50(f47(f47(f5(x7081),x7083),x7082))+~P50(f47(f47(f34(x7081),x7082),x7083))
% 1.23/1.28 [710]~P40(x7101)+~P50(f47(f47(f5(x7101),x7103),x7102))+~P50(f47(f47(f5(x7101),x7102),x7103))
% 1.23/1.28 [727]~P50(f47(f47(f34(a1),x7271),x7273))+P50(f47(f47(f34(a1),x7271),x7272))+~P50(f47(f47(f34(a1),x7273),x7272))
% 1.23/1.28 [728]~P6(x7281)+~P50(f46(x7283,x7282,x7281))+P50(f47(f47(f34(x7281),f20(x7282,x7281)),x7283))
% 1.23/1.28 [734]~P50(f47(f47(f5(a1),x7341),x7343))+P50(f47(f47(f5(a1),f36(x7341)),x7342))+~P50(f47(f47(f5(a1),x7343),x7342))
% 1.23/1.28 [777]~P33(x7771)+~P50(f47(f47(f34(x7771),x7773),f47(f28(x7771),x7772)))+P50(f47(f47(f34(x7771),x7772),f47(f28(x7771),x7773)))
% 1.23/1.28 [779]~P33(x7791)+~P50(f47(f47(f5(x7791),x7793),f47(f28(x7791),x7792)))+P50(f47(f47(f5(x7791),x7792),f47(f28(x7791),x7793)))
% 1.23/1.28 [809]~P33(x8091)+~P50(f47(f47(f34(x8091),x8093),x8092))+P50(f47(f47(f34(x8091),f47(f28(x8091),x8092)),f47(f28(x8091),x8093)))
% 1.23/1.28 [810]~P33(x8101)+~P50(f47(f47(f5(x8101),x8103),x8102))+P50(f47(f47(f5(x8101),f47(f28(x8101),x8102)),f47(f28(x8101),x8103)))
% 1.23/1.28 [883]~P33(x8831)+~P50(f47(f47(f34(x8831),f47(f28(x8831),x8833)),f47(f28(x8831),x8832)))+P50(f47(f47(f34(x8831),x8832),x8833))
% 1.23/1.28 [884]~P33(x8841)+~P50(f47(f47(f5(x8841),f47(f28(x8841),x8843)),f47(f28(x8841),x8842)))+P50(f47(f47(f5(x8841),x8842),x8843))
% 1.23/1.28 [1001]~P1(x10011)+E(f47(f47(f32(f53(x10011,a2)),f40(x10012,f4(f53(x10011,a2)),x10011)),f44(x10012,x10013,x10011)),f42(x10012,x10013,x10011))+~P50(f47(f47(f34(x10011),x10012),x10013))
% 1.23/1.28 [716]~P7(x7163,x7161)+~P7(x7162,x7161)+P7(f47(f47(f32(f53(x7161,a2)),x7162),x7163),x7161)
% 1.23/1.28 [724]~P6(x7241)+~P7(x7243,x7241)+E(f47(f47(f16(f27(x7241),x7241,x7241),x7242),x7243),f47(f47(f27(x7241),x7242),f20(x7243,x7241)))
% 1.23/1.28 [774]~P27(x7741)+~P7(x7743,x7741)+E(f47(f47(f16(f29(x7741),x7741,x7741),x7742),x7743),f47(f15(f29(x7741),x7741),f40(x7742,x7743,x7741)))
% 1.23/1.28 [800]P7(x8001,x8002)+~P7(x8003,x8002)+~P50(f47(f47(f34(f53(x8002,a2)),x8001),x8003))
% 1.23/1.28 [808]P7(x8081,x8082)+~P7(x8083,x8082)+~P7(f47(f47(f14(f53(x8082,a2)),x8081),x8083),x8082)
% 1.23/1.28 [895]E(f47(f47(f14(a1),f47(f47(f14(a1),x8951),x8952)),f47(f47(f14(a1),x8953),x8952)),f47(f47(f14(a1),x8951),x8953))+~P50(f47(f47(f34(a1),x8952),x8951))+~P50(f47(f47(f34(a1),x8952),x8953))
% 1.23/1.28 [897]~P33(x8971)+~P50(f47(f47(f34(x8971),f47(f28(x8971),x8973)),x8972))+P50(f47(f47(f34(x8971),f47(f28(x8971),x8972)),x8973))
% 1.23/1.28 [899]~P33(x8991)+~P50(f47(f47(f5(x8991),f47(f28(x8991),x8993)),x8992))+P50(f47(f47(f5(x8991),f47(f28(x8991),x8992)),x8993))
% 1.23/1.28 [925]~P7(x9253,x9252)+P50(f47(f47(f34(a1),f21(x9251,x9252)),f21(x9253,x9252)))+~P50(f47(f47(f34(f53(x9252,a2)),x9251),x9253))
% 1.23/1.28 [926]~P7(x9263,x9262)+P50(f47(f47(f5(a1),f21(x9261,x9262)),f21(x9263,x9262)))+~P50(f47(f47(f5(f53(x9262,a2)),x9261),x9263))
% 1.23/1.28 [940]E(x9401,x9402)+~P50(f47(f47(f34(f53(x9403,a2)),x9401),x9402))+P50(f47(f47(f5(f53(x9403,a2)),x9401),x9402))
% 1.23/1.28 [953]~P1(x9531)+E(f47(f47(f32(f53(x9531,a2)),f43(x9532,x9533,x9531)),f40(x9533,f4(f53(x9531,a2)),x9531)),f42(x9532,x9533,x9531))+~P50(f47(f47(f34(x9531),x9532),x9533))
% 1.23/1.28 [1009]E(x10091,x10092)+~P50(f47(f47(f34(f53(x10093,a2)),x10092),x10091))+~P50(f47(f47(f34(f53(x10093,a2)),x10091),x10092))
% 1.23/1.28 [1024]~P50(f47(f47(f34(a1),x10242),x10241))+~P50(f47(f47(f5(a1),x10241),x10243))+P50(f47(f47(f5(a1),f47(f47(f14(a1),x10241),x10242)),f47(f47(f14(a1),x10243),x10242)))
% 1.23/1.28 [1025]~P50(f47(f47(f5(a1),x10253),x10251))+~P50(f47(f47(f5(a1),x10253),x10252))+P50(f47(f47(f5(a1),f47(f47(f14(a1),x10251),x10252)),f47(f47(f14(a1),x10251),x10253)))
% 1.23/1.28 [1098]E(x10981,f4(f53(x10982,a2)))+E(x10981,f40(x10983,f4(f53(x10982,a2)),x10982))+~P50(f47(f47(f34(f53(x10982,a2)),x10981),f40(x10983,f4(f53(x10982,a2)),x10982)))
% 1.23/1.28 [985]~P7(x9852,x9851)+P50(f46(x9853,x9852,x9851))+E(f21(f47(f47(f14(f53(x9851,a2)),x9852),f40(x9853,f4(f53(x9851,a2)),x9851)),x9851),f21(x9852,x9851))
% 1.23/1.28 [1002]~P7(x10023,x10021)+E(f21(f47(f47(f14(f53(x10021,a2)),x10022),x10023),x10021),f47(f47(f14(a1),f21(x10022,x10021)),f21(x10023,x10021)))+~P50(f47(f47(f34(f53(x10021,a2)),x10023),x10022))
% 1.23/1.28 [1137]~P7(x11372,x11371)+~P50(f46(x11373,x11372,x11371))+E(f36(f21(f47(f47(f14(f53(x11371,a2)),x11372),f40(x11373,f4(f53(x11371,a2)),x11371)),x11371)),f21(x11372,x11371))
% 1.23/1.28 [586]~P8(x5861,x5864,x5863)+P8(x5861,x5862,x5863)+~P8(x5864,x5862,x5863)
% 1.23/1.28 [1087]P7(x10871,x10872)+~P9(x10873,x10871,x10872,x10874)+~P7(f41(x10873,x10871,x10872,x10874),x10874)
% 1.23/1.28 [735]E(x7351,x7352)+P50(f47(x7353,x7351))+~P50(f47(f40(x7352,x7353,x7354),x7351))
% 1.23/1.28 [880]E(x8801,x8802)+P50(f46(x8801,x8803,x8804))+~P50(f46(x8801,f40(x8802,x8803,x8804),x8804))
% 1.23/1.28 [944]~P8(x9441,x9443,x9444)+P8(x9441,f40(x9442,x9443,f49(x9444)),x9444)+~P8(x9441,f40(x9442,f4(f53(f49(x9444),a2)),f49(x9444)),x9444)
% 1.23/1.28 [1040]~P7(x10402,x10404)+P7(f45(x10401,x10402,x10403,x10404),x10403)+~P9(x10401,f37(f53(x10403,a2)),x10403,x10404)
% 1.23/1.28 [1064]~P7(x10642,x10643)+P9(x10641,x10642,x10643,x10644)+~E(f21(f41(x10641,x10642,x10643,x10644),x10644),f21(x10642,x10643))
% 1.23/1.28 [531]~P25(x5313)+E(x5311,x5312)+~E(f47(f47(f30(x5313),x5314),x5311),f47(f47(f30(x5313),x5314),x5312))
% 1.23/1.28 [532]~P28(x5323)+E(x5321,x5322)+~E(f47(f47(f30(x5323),x5324),x5321),f47(f47(f30(x5323),x5324),x5322))
% 1.23/1.28 [533]~P24(x5333)+E(x5331,x5332)+~E(f47(f47(f14(x5333),x5334),x5334),f47(f47(f14(x5333),x5331),x5332))
% 1.23/1.28 [534]~P28(x5343)+E(x5341,x5342)+~E(f47(f47(f30(x5343),x5341),x5344),f47(f47(f30(x5343),x5342),x5344))
% 1.23/1.28 [535]~P24(x5353)+E(x5351,x5352)+~E(f47(f47(f14(x5353),x5351),x5352),f47(f47(f14(x5353),x5354),x5354))
% 1.23/1.28 [757]~P7(x7574,x7572)+~P13(x7571,x7572)+E(f47(f47(f16(x7571,x7572,x7572),x7573),x7574),f47(f15(x7571,x7572),f40(x7573,x7574,x7572)))
% 1.23/1.28 [914]~P1(x9141)+E(f47(f47(f14(f53(x9141,a2)),f43(x9142,x9143,x9141)),f43(x9142,x9144,x9141)),f43(x9144,x9143,x9141))+~P50(f47(f47(f34(x9141),x9142),x9144))
% 1.23/1.28 [631]~P24(x6312)+E(x6311,f47(f28(x6312),x6313))+~E(f47(f47(f30(x6312),x6311),f47(f47(f30(x6312),x6314),x6313)),x6314)
% 1.23/1.28 [785]~P22(x7851)+~P50(f47(f47(f34(x7851),x7852),x7854))+P50(f47(f47(f34(x7851),x7852),f47(f47(f32(x7851),x7853),x7854)))
% 1.23/1.28 [786]~P22(x7861)+~P50(f47(f47(f34(x7861),x7862),x7863))+P50(f47(f47(f34(x7861),x7862),f47(f47(f32(x7861),x7863),x7864)))
% 1.23/1.28 [788]~P1(x7881)+~P50(f47(f47(f34(x7881),x7882),x7884))+P50(f47(f47(f34(x7881),x7882),f47(f47(f39(x7881),x7883),x7884)))
% 1.23/1.28 [790]~P1(x7901)+~P50(f47(f47(f34(x7901),x7902),x7903))+P50(f47(f47(f34(x7901),x7902),f47(f47(f39(x7901),x7903),x7904)))
% 1.23/1.28 [791]~P22(x7911)+~P50(f47(f47(f5(x7911),x7912),x7914))+P50(f47(f47(f5(x7911),x7912),f47(f47(f32(x7911),x7913),x7914)))
% 1.23/1.28 [792]~P22(x7921)+~P50(f47(f47(f5(x7921),x7922),x7923))+P50(f47(f47(f5(x7921),x7922),f47(f47(f32(x7921),x7923),x7924)))
% 1.23/1.28 [794]~P1(x7941)+~P50(f47(f47(f5(x7941),x7942),x7944))+P50(f47(f47(f5(x7941),x7942),f47(f47(f39(x7941),x7943),x7944)))
% 1.23/1.28 [796]~P1(x7961)+~P50(f47(f47(f5(x7961),x7962),x7963))+P50(f47(f47(f5(x7961),x7962),f47(f47(f39(x7961),x7963),x7964)))
% 1.23/1.28 [832]P50(f47(x8321,x8322))+~P50(f47(x8323,x8322))+~P50(f47(f47(f34(f53(x8324,a2)),x8323),x8321))
% 1.23/1.28 [853]~P1(x8531)+P50(f47(f47(f34(x8531),x8532),x8533))+~P50(f47(f47(f34(x8531),x8532),f47(f47(f38(x8531),x8534),x8533)))
% 1.23/1.28 [855]~P1(x8551)+P50(f47(f47(f34(x8551),x8552),x8553))+~P50(f47(f47(f34(x8551),x8552),f47(f47(f38(x8551),x8553),x8554)))
% 1.23/1.28 [857]~P21(x8571)+P50(f47(f47(f34(x8571),x8572),x8573))+~P50(f47(f47(f34(x8571),x8572),f47(f47(f27(x8571),x8574),x8573)))
% 1.23/1.28 [859]~P21(x8591)+P50(f47(f47(f34(x8591),x8592),x8593))+~P50(f47(f47(f34(x8591),x8592),f47(f47(f27(x8591),x8593),x8594)))
% 1.23/1.28 [860]~P1(x8601)+P50(f47(f47(f5(x8601),x8602),x8603))+~P50(f47(f47(f5(x8601),x8602),f47(f47(f38(x8601),x8604),x8603)))
% 1.23/1.28 [861]~P1(x8611)+P50(f47(f47(f5(x8611),x8612),x8613))+~P50(f47(f47(f5(x8611),x8612),f47(f47(f38(x8611),x8613),x8614)))
% 1.23/1.28 [864]~P50(f46(x8644,x8643,x8641))+~P50(f46(x8644,x8642,x8641))+~E(f47(f47(f27(f53(x8641,a2)),x8642),x8643),f4(f53(x8641,a2)))
% 1.23/1.28 [932]~P45(x9321)+~P19(x9321)+E(f47(f47(f30(x9321),f47(f47(f29(x9321),x9322),x9323)),f47(f47(f29(x9321),x9322),x9324)),f47(f47(f30(x9321),f47(f47(f29(x9321),x9322),x9324)),f47(f47(f29(x9321),x9322),x9323)))
% 1.23/1.28 [936]P50(f46(x9361,x9362,x9363))+~P50(f46(x9361,x9364,x9363))+~P50(f47(f47(f34(f53(x9363,a2)),x9364),x9362))
% 1.23/1.28 [937]P50(f46(x9371,x9372,x9373))+~P50(f46(x9371,x9374,x9373))+~P50(f47(f47(f5(f53(x9373,a2)),x9374),x9372))
% 1.23/1.28 [957]~P5(x9572)+~P50(f47(f47(f5(f53(x9571,x9572)),x9573),x9574))+P50(f47(f47(f34(f53(x9571,x9572)),x9573),x9574))
% 1.23/1.28 [993]~P30(x9931)+~P50(f47(f47(f34(x9931),x9932),x9934))+P50(f47(f47(f34(x9931),f47(f47(f30(x9931),x9932),x9933)),f47(f47(f30(x9931),x9934),x9933)))
% 1.23/1.28 [994]~P36(x9941)+~P50(f47(f47(f34(x9941),x9942),x9944))+P50(f47(f47(f34(x9941),f47(f47(f30(x9941),x9942),x9943)),f47(f47(f30(x9941),x9944),x9943)))
% 1.23/1.28 [995]~P30(x9951)+~P50(f47(f47(f34(x9951),x9953),x9954))+P50(f47(f47(f34(x9951),f47(f47(f30(x9951),x9952),x9953)),f47(f47(f30(x9951),x9952),x9954)))
% 1.23/1.28 [996]~P36(x9961)+~P50(f47(f47(f34(x9961),x9963),x9964))+P50(f47(f47(f34(x9961),f47(f47(f30(x9961),x9962),x9963)),f47(f47(f30(x9961),x9962),x9964)))
% 1.23/1.28 [997]~P29(x9971)+~P50(f47(f47(f5(x9971),x9972),x9974))+P50(f47(f47(f5(x9971),f47(f47(f30(x9971),x9972),x9973)),f47(f47(f30(x9971),x9974),x9973)))
% 1.23/1.28 [998]~P36(x9981)+~P50(f47(f47(f5(x9981),x9982),x9984))+P50(f47(f47(f5(x9981),f47(f47(f30(x9981),x9982),x9983)),f47(f47(f30(x9981),x9984),x9983)))
% 1.23/1.28 [999]~P29(x9991)+~P50(f47(f47(f5(x9991),x9993),x9994))+P50(f47(f47(f5(x9991),f47(f47(f30(x9991),x9992),x9993)),f47(f47(f30(x9991),x9992),x9994)))
% 1.23/1.28 [1000]~P36(x10001)+~P50(f47(f47(f5(x10001),x10003),x10004))+P50(f47(f47(f5(x10001),f47(f47(f30(x10001),x10002),x10003)),f47(f47(f30(x10001),x10002),x10004)))
% 1.23/1.28 [1038]~P5(x10381)+~P50(f47(f47(f5(f53(x10382,x10381)),x10384),x10383))+~P50(f47(f47(f34(f53(x10382,x10381)),x10383),x10384))
% 1.23/1.28 [1072]~P50(f46(x10723,x10724,x10721))+P50(f47(f47(f5(f53(x10721,a2)),x10722),f40(x10723,x10724,x10721)))+~P50(f47(f47(f5(f53(x10721,a2)),x10722),x10724))
% 1.23/1.28 [1082]P50(f46(x10821,x10822,x10823))+~P50(f47(f47(f34(f53(x10823,a2)),x10822),f40(x10821,x10824,x10823)))+P50(f47(f47(f34(f53(x10823,a2)),x10822),x10824))
% 1.23/1.28 [1083]~P50(f47(f47(f34(f53(x10831,a2)),x10832),x10834))+P50(f47(f47(f34(f53(x10831,a2)),x10832),x10833))+~P50(f47(f47(f34(f53(x10831,a2)),x10834),x10833))
% 1.23/1.28 [1084]~P50(f47(f47(f5(f53(x10841,a2)),x10842),x10844))+~P50(f47(f47(f34(f53(x10841,a2)),x10844),x10843))+P50(f47(f47(f5(f53(x10841,a2)),x10842),x10843))
% 1.23/1.28 [1085]~P50(f47(f47(f34(f53(x10851,a2)),x10852),x10854))+~P50(f47(f47(f5(f53(x10851,a2)),x10854),x10853))+P50(f47(f47(f5(f53(x10851,a2)),x10852),x10853))
% 1.23/1.28 [1086]~P50(f47(f47(f5(f53(x10861,a2)),x10862),x10864))+P50(f47(f47(f5(f53(x10861,a2)),x10862),x10863))+~P50(f47(f47(f5(f53(x10861,a2)),x10864),x10863))
% 1.23/1.28 [1092]~P36(x10921)+P50(f47(f47(f34(x10921),x10922),x10923))+~P50(f47(f47(f34(x10921),f47(f47(f30(x10921),x10924),x10922)),f47(f47(f30(x10921),x10924),x10923)))
% 1.23/1.28 [1093]~P36(x10931)+P50(f47(f47(f34(x10931),x10932),x10933))+~P50(f47(f47(f34(x10931),f47(f47(f30(x10931),x10932),x10934)),f47(f47(f30(x10931),x10933),x10934)))
% 1.23/1.28 [1094]~P36(x10941)+P50(f47(f47(f5(x10941),x10942),x10943))+~P50(f47(f47(f5(x10941),f47(f47(f30(x10941),x10944),x10942)),f47(f47(f30(x10941),x10944),x10943)))
% 1.23/1.28 [1095]~P36(x10951)+P50(f47(f47(f5(x10951),x10952),x10953))+~P50(f47(f47(f5(x10951),f47(f47(f30(x10951),x10952),x10954)),f47(f47(f30(x10951),x10953),x10954)))
% 1.23/1.28 [1099]~P50(f46(x10994,x10993,x10991))+~P50(f47(f47(f5(f53(x10991,a2)),x10992),f40(x10994,x10993,x10991)))+P50(f47(f47(f5(f53(x10991,a2)),x10992),x10993))
% 1.23/1.28 [1113]~P50(f46(x11132,x11134,x11131))+P50(f47(f47(f34(f53(x11131,a2)),f40(x11132,x11133,x11131)),x11134))+~P50(f47(f47(f34(f53(x11131,a2)),x11133),x11134))
% 1.23/1.28 [1188]~P9(x11881,f37(f53(x11884,a2)),x11884,x11883)+E(f12(f47(x11881,x11882),x11881,x11883,x11884),x11882)+~P50(f46(f47(x11881,x11882),f41(x11881,f37(f53(x11884,a2)),x11884,x11883),x11883))
% 1.23/1.28 [1193]~P9(x11931,f37(f53(x11934,a2)),x11934,x11933)+E(f47(x11931,f12(x11932,x11931,x11933,x11934)),x11932)+~P50(f46(x11932,f41(x11931,f37(f53(x11934,a2)),x11934,x11933),x11933))
% 1.23/1.28 [903]~P1(x9031)+~P50(f47(f47(f34(x9031),x9033),x9034))+P50(f47(f47(f34(x9031),f47(f47(f38(x9031),x9032),x9033)),x9034))
% 1.23/1.28 [905]~P1(x9051)+~P50(f47(f47(f34(x9051),x9052),x9054))+P50(f47(f47(f34(x9051),f47(f47(f38(x9051),x9052),x9053)),x9054))
% 1.23/1.28 [906]~P21(x9061)+~P50(f47(f47(f34(x9061),x9063),x9064))+P50(f47(f47(f34(x9061),f47(f47(f27(x9061),x9062),x9063)),x9064))
% 1.23/1.28 [907]~P21(x9071)+~P50(f47(f47(f34(x9071),x9072),x9074))+P50(f47(f47(f34(x9071),f47(f47(f27(x9071),x9072),x9073)),x9074))
% 1.23/1.28 [909]~P1(x9091)+~P50(f47(f47(f5(x9091),x9093),x9094))+P50(f47(f47(f5(x9091),f47(f47(f38(x9091),x9092),x9093)),x9094))
% 1.23/1.28 [911]~P1(x9111)+~P50(f47(f47(f5(x9111),x9112),x9114))+P50(f47(f47(f5(x9111),f47(f47(f38(x9111),x9112),x9113)),x9114))
% 1.23/1.28 [912]~P21(x9121)+~P50(f47(f47(f5(x9121),x9123),x9124))+P50(f47(f47(f5(x9121),f47(f47(f27(x9121),x9122),x9123)),x9124))
% 1.23/1.28 [913]~P21(x9131)+~P50(f47(f47(f5(x9131),x9132),x9134))+P50(f47(f47(f5(x9131),f47(f47(f27(x9131),x9132),x9133)),x9134))
% 1.23/1.28 [915]~P50(f47(x9153,x9154))+~P50(f47(x9152,x9154))+P50(f47(f47(f47(f27(f53(x9151,a2)),x9152),x9153),x9154))
% 1.23/1.28 [1014]~P1(x10141)+P50(f47(f47(f34(x10141),x10142),x10143))+~P50(f47(f47(f34(x10141),f47(f47(f39(x10141),x10144),x10142)),x10143))
% 1.23/1.28 [1016]~P1(x10161)+P50(f47(f47(f34(x10161),x10162),x10163))+~P50(f47(f47(f34(x10161),f47(f47(f39(x10161),x10162),x10164)),x10163))
% 1.23/1.28 [1018]~P22(x10181)+P50(f47(f47(f34(x10181),x10182),x10183))+~P50(f47(f47(f34(x10181),f47(f47(f32(x10181),x10184),x10182)),x10183))
% 1.23/1.28 [1020]~P22(x10201)+P50(f47(f47(f34(x10201),x10202),x10203))+~P50(f47(f47(f34(x10201),f47(f47(f32(x10201),x10202),x10204)),x10203))
% 1.23/1.28 [1021]~P1(x10211)+P50(f47(f47(f5(x10211),x10212),x10213))+~P50(f47(f47(f5(x10211),f47(f47(f39(x10211),x10214),x10212)),x10213))
% 1.23/1.28 [1022]~P1(x10221)+P50(f47(f47(f5(x10221),x10222),x10223))+~P50(f47(f47(f5(x10221),f47(f47(f39(x10221),x10222),x10224)),x10223))
% 1.23/1.28 [1031]~P50(f46(x10311,x10314,x10313))+P50(f46(x10311,x10312,x10313))+P50(f46(x10311,f47(f47(f14(f53(x10313,a2)),x10314),x10312),x10313))
% 1.23/1.28 [1041]P50(f47(x10411,x10412))+P50(f47(x10413,x10412))+~P50(f47(f47(f47(f32(f53(x10414,a2)),x10411),x10413),x10412))
% 1.23/1.28 [1042]~P21(x10421)+~P7(x10424,x10421)+E(f47(f47(f27(x10421),x10422),f47(f47(f16(f27(x10421),x10421,x10421),x10423),x10424)),f47(f47(f16(f27(x10421),x10421,x10421),x10423),f40(x10422,x10424,x10421)))
% 1.23/1.28 [1043]~P22(x10431)+~P7(x10434,x10431)+E(f47(f47(f32(x10431),x10432),f47(f47(f16(f32(x10431),x10431,x10431),x10433),x10434)),f47(f47(f16(f32(x10431),x10431,x10431),x10433),f40(x10432,x10434,x10431)))
% 1.23/1.28 [1047]~P50(f46(x10471,x10474,x10472))+~P50(f46(x10471,x10473,x10472))+P50(f46(x10471,f47(f47(f27(f53(x10472,a2)),x10473),x10474),x10472))
% 1.23/1.28 [1103]P50(f46(x11031,x11032,x11033))+P50(f46(x11031,x11034,x11033))+~P50(f46(x11031,f47(f47(f32(f53(x11033,a2)),x11032),x11034),x11033))
% 1.23/1.28 [1111]E(f47(f47(f14(f53(x11111,a2)),x11112),f47(f47(f14(f53(x11111,a2)),x11113),x11114)),x11114)+~P50(f47(f47(f34(f53(x11111,a2)),x11114),x11112))+~P50(f47(f47(f34(f53(x11111,a2)),x11112),x11113))
% 1.23/1.28 [1146]~P50(f47(f47(f34(f53(x11461,a2)),x11462),x11463))+~P50(f47(f47(f34(f53(x11461,a2)),x11462),x11464))+P50(f47(f47(f34(f53(x11461,a2)),x11462),f47(f47(f27(f53(x11461,a2)),x11463),x11464)))
% 1.23/1.28 [1174]~P7(x11744,x11743)+E(f47(f47(f14(a1),f25(x11741,x11742,x11743,a1)),f25(x11741,x11744,x11743,a1)),f25(x11741,f47(f47(f14(f53(x11743,a2)),x11742),x11744),x11743,a1))+~P50(f47(f47(f34(f53(x11743,a2)),x11744),x11742))
% 1.23/1.28 [1168]~P50(f47(f47(f34(f53(x11681,a2)),x11683),x11684))+~P50(f47(f47(f34(f53(x11681,a2)),x11682),x11684))+P50(f47(f47(f34(f53(x11681,a2)),f47(f47(f32(f53(x11681,a2)),x11682),x11683)),x11684))
% 1.23/1.28 [1213]~P50(f46(x12133,x12132,x12131))+~P50(f47(f47(f34(f53(x12131,a2)),x12132),f40(x12133,x12134,x12131)))+P50(f47(f47(f34(f53(x12131,a2)),f47(f47(f14(f53(x12131,a2)),x12132),f40(x12133,f4(f53(x12131,a2)),x12131))),x12134))
% 1.23/1.28 [1230]~P50(f46(x12303,x12302,x12301))+P50(f47(f47(f34(f53(x12301,a2)),x12302),f40(x12303,x12304,x12301)))+~P50(f47(f47(f34(f53(x12301,a2)),f47(f47(f14(f53(x12301,a2)),x12302),f40(x12303,f4(f53(x12301,a2)),x12301))),x12304))
% 1.23/1.28 [812]E(x8121,x8122)+~E(f47(x8123,x8121),f47(x8123,x8122))+~P9(x8123,f37(f53(x8124,a2)),x8124,x8125)
% 1.23/1.28 [1068]~P9(x10682,x10681,x10683,x10684)+~P50(f46(x10685,x10681,x10683))+E(f47(f26(x10681,x10682,x10683,x10684),f47(x10682,x10685)),x10685)
% 1.23/1.28 [1097]E(x10971,x10972)+~E(f41(x10973,x10971,x10974,x10975),f41(x10973,x10972,x10974,x10975))+~P9(x10973,f37(f53(x10974,a2)),x10974,x10975)
% 1.23/1.28 [1157]P7(x11571,x11572)+~P7(x11573,x11574)+~P50(f47(f47(f34(f53(x11572,a2)),x11571),f41(x11575,x11573,x11574,x11572)))
% 1.23/1.28 [1158]~P8(x11583,f40(f47(f47(f47(f31(a3),x11584),x11585),x11581),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x11583,f40(f47(f47(f47(f31(a3),x11584),x11585),x11582),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x11581,f63(x11582,x11581)),f69(x11582,x11581)))
% 1.23/1.28 [1159]~P8(x11593,f40(f47(f47(f47(f31(a3),x11592),x11594),x11595),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x11593,f40(f47(f47(f47(f31(a3),x11591),x11594),x11595),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x11591,f64(x11591,x11592)),f68(x11591,x11592)))
% 1.23/1.28 [1162]~P8(x11621,f40(f47(f47(f47(f31(a3),x11625),x11623),x11624),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x11621,f40(f47(f47(f47(f31(a3),x11622),x11623),x11624),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x11625,f64(x11622,x11625)),f68(x11622,x11625)))
% 1.23/1.28 [1163]~P8(x11631,f40(f47(f47(f47(f31(a3),x11632),x11633),x11635),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x11631,f40(f47(f47(f47(f31(a3),x11632),x11633),x11634),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x11634,f63(x11634,x11635)),f69(x11634,x11635)))
% 1.23/1.28 [1170]~P9(x11704,f37(f53(x11703,a2)),x11703,x11705)+P50(f46(x11701,x11702,x11703))+~P50(f46(f47(x11704,x11701),f41(x11704,x11702,x11703,x11705),x11705))
% 1.23/1.28 [1049]~P39(x10491)+P50(f47(f47(f34(f53(x10491,a2)),f42(x10492,x10493,x10491)),f42(x10494,x10495,x10491)))+P50(f47(f47(f34(x10491),x10492),x10493))
% 1.23/1.28 [1127]~P39(x11271)+~P50(f47(f47(f5(f53(x11271,a2)),f42(x11274,x11275,x11271)),f42(x11272,x11273,x11271)))+P50(f47(f47(f34(x11271),x11272),x11273))
% 1.23/1.28 [1196]~P9(x11961,x11962,x11963,x11964)+E(f47(x11961,f47(f26(x11962,x11961,x11963,x11964),x11965)),x11965)+~P50(f46(x11965,f41(x11961,x11962,x11963,x11964),x11964))
% 1.23/1.28 [1225]~P9(x12252,f37(f53(x12251,a2)),x12251,x12254)+~P50(f47(f47(f34(f53(x12254,a2)),x12253),f41(x12252,x12255,x12251,x12254)))+P50(f47(f47(f34(f53(x12251,a2)),f45(x12252,x12253,x12251,x12254)),x12255))
% 1.23/1.28 [722]~P24(x7221)+E(f47(f47(f30(x7221),x7222),x7223),x7224)+~E(f47(f47(f30(x7221),x7222),f47(f47(f30(x7221),x7225),x7223)),f47(f47(f30(x7221),x7225),x7224))
% 1.23/1.28 [942]~P5(x9421)+P50(f47(f47(f34(x9421),f47(x9422,x9423)),f47(x9424,x9423)))+~P50(f47(f47(f34(f53(x9425,x9421)),x9422),x9424))
% 1.23/1.28 [961]E(x9611,x9612)+E(x9611,x9613)+~E(f40(x9614,f40(x9611,f4(f53(x9615,a2)),x9615),x9615),f40(x9613,f40(x9612,f4(f53(x9615,a2)),x9615),x9615))
% 1.23/1.28 [962]E(x9621,x9622)+E(x9623,x9622)+~E(f40(x9623,f40(x9621,f4(f53(x9624,a2)),x9624),x9624),f40(x9625,f40(x9622,f4(f53(x9624,a2)),x9624),x9624))
% 1.23/1.28 [963]E(x9631,x9632)+E(x9633,x9632)+~E(f40(x9633,f40(x9631,f4(f53(x9634,a2)),x9634),x9634),f40(x9632,f40(x9635,f4(f53(x9634,a2)),x9634),x9634))
% 1.23/1.28 [964]E(x9641,x9642)+E(x9641,x9643)+~E(f40(x9641,f40(x9644,f4(f53(x9645,a2)),x9645),x9645),f40(x9643,f40(x9642,f4(f53(x9645,a2)),x9645),x9645))
% 1.23/1.28 [1066]P9(x10661,x10662,x10663,x10664)+~P9(x10661,x10665,x10663,x10664)+~P50(f47(f47(f34(f53(x10663,a2)),x10662),x10665))
% 1.23/1.28 [1132]E(x11321,x11322)+~E(f41(x11323,x11321,x11324,x11325),f41(x11323,x11322,x11324,x11325))+~P9(x11323,f47(f47(f32(f53(x11324,a2)),x11321),x11322),x11324,x11325)
% 1.23/1.28 [1186]~P9(x11863,f37(f53(x11864,a2)),x11864,x11865)+P50(f47(x11861,x11862))+P50(f46(f11(x11861,x11863,x11864,x11865),f41(x11863,f37(f53(x11864,a2)),x11864,x11865),x11865))
% 1.23/1.28 [1233]~P9(x12334,f37(f53(x12331,a2)),x12331,x12335)+~P50(f47(f47(f34(f53(x12335,a2)),f41(x12334,x12332,x12331,x12335)),f41(x12334,x12333,x12331,x12335)))+P50(f47(f47(f34(f53(x12331,a2)),x12332),x12333))
% 1.23/1.28 [1189]~P50(f47(f47(f34(f53(x11891,a2)),x11895),x11893))+~P50(f47(f47(f34(f53(x11891,a2)),x11892),x11894))+P50(f47(f47(f34(f53(x11891,a2)),f47(f47(f14(f53(x11891,a2)),x11892),x11893)),f47(f47(f14(f53(x11891,a2)),x11894),x11895)))
% 1.23/1.28 [1190]~P50(f47(f47(f34(f53(x11901,a2)),x11903),x11905))+~P50(f47(f47(f34(f53(x11901,a2)),x11902),x11904))+P50(f47(f47(f34(f53(x11901,a2)),f47(f47(f27(f53(x11901,a2)),x11902),x11903)),f47(f47(f27(f53(x11901,a2)),x11904),x11905)))
% 1.23/1.28 [1191]~P50(f47(f47(f34(f53(x11911,a2)),x11913),x11915))+~P50(f47(f47(f34(f53(x11911,a2)),x11912),x11914))+P50(f47(f47(f34(f53(x11911,a2)),f47(f47(f32(f53(x11911,a2)),x11912),x11913)),f47(f47(f32(f53(x11911,a2)),x11914),x11915)))
% 1.23/1.28 [1224]~P9(x12241,x12243,x12244,x12245)+P9(x12241,f40(x12242,x12243,x12244),x12244,x12245)+P50(f46(f47(x12241,x12242),f41(x12241,f47(f47(f14(f53(x12244,a2)),x12243),f40(x12242,f4(f53(x12244,a2)),x12244)),x12244,x12245),x12245))
% 1.23/1.28 [833]~P12(x8331,x8335,x8334,x8336)+~E(f47(f47(x8334,x8332),x8333),x8332)+P50(f47(f47(x8331,x8332),x8333))
% 1.23/1.28 [839]~P12(x8394,x8395,x8391,x8396)+E(f47(f47(x8391,x8392),x8393),x8393)+~P50(f47(f47(x8394,x8393),x8392))
% 1.23/1.28 [840]~P12(x8404,x8405,x8401,x8406)+E(f47(f47(x8401,x8402),x8403),x8402)+~P50(f47(f47(x8404,x8402),x8403))
% 1.23/1.28 [1214]~P9(x12142,x12143,x12144,x12145)+P9(f22(x12142,x12146,x12141,x12144,x12145),x12143,x12144,x12145)+P50(f46(x12141,f41(x12142,x12143,x12144,x12145),x12145))
% 1.23/1.28 [1228]~P8(x12285,f40(f47(f47(f47(f31(a3),x12282),x12286),x12284),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x12285,f40(f47(f47(f47(f31(a3),x12281),x12286),x12283),f4(f53(f49(a3),a2)),f49(a3)),a3)+P50(f47(f47(x12281,f67(x12281,x12282,x12283,x12284)),f66(x12281,x12282,x12283,x12284)))
% 1.23/1.28 [1241]~P8(x12411,f40(f47(f47(f47(f31(a3),x12415),x12413),x12416),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x12411,f40(f47(f47(f47(f31(a3),x12412),x12413),x12414),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12414,f67(x12412,x12415,x12414,x12416)),f65(x12412,x12415,x12414,x12416)))
% 1.23/1.28 [1275]~P8(x12751,f40(f47(f47(f47(f31(a3),x12755),x12753),x12756),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x12751,f40(f47(f47(f47(f31(a3),x12752),x12753),x12754),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12754,f72(x12751,x12752,x12754,x12753)),f77(x12751,x12752,x12754,x12753,x12755,x12756)))
% 1.23/1.28 [1276]~P8(x12761,f40(f47(f47(f47(f31(a3),x12765),x12763),x12766),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x12761,f40(f47(f47(f47(f31(a3),x12762),x12763),x12764),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12764,f73(x12761,x12762,x12764,x12763)),f75(x12761,x12762,x12764,x12763,x12765,x12766)))
% 1.23/1.28 [1212]~P50(f46(x12122,x12125,x12126))+P50(f46(f47(x12121,x12122),x12123,x12124))+~P50(f47(f47(f34(f53(x12124,a2)),f41(x12121,x12125,x12126,x12124)),x12123))
% 1.23/1.28 [1153]~P46(x11532)+~E(f47(f47(f30(x11532),f47(f47(f29(x11532),x11534),x11535)),x11531),f47(f47(f30(x11532),f47(f47(f29(x11532),x11533),x11535)),x11536))+E(x11531,f47(f47(f30(x11532),f47(f47(f29(x11532),f47(f47(f14(x11532),x11533),x11534)),x11535)),x11536))
% 1.23/1.28 [1154]~P46(x11541)+~E(f47(f47(f30(x11541),f47(f47(f29(x11541),x11542),x11544)),x11545),f47(f47(f30(x11541),f47(f47(f29(x11541),x11543),x11544)),x11546))+E(f47(f47(f30(x11541),f47(f47(f29(x11541),f47(f47(f14(x11541),x11542),x11543)),x11544)),x11545),x11546)
% 1.23/1.28 [1249]~P49(x12491)+~P50(f47(f47(f34(x12491),f47(f47(f30(x12491),f47(f47(f29(x12491),x12494),x12495)),x12492)),f47(f47(f30(x12491),f47(f47(f29(x12491),x12493),x12495)),x12496)))+P50(f47(f47(f34(x12491),x12492),f47(f47(f30(x12491),f47(f47(f29(x12491),f47(f47(f14(x12491),x12493),x12494)),x12495)),x12496)))
% 1.23/1.28 [1250]~P49(x12501)+~P50(f47(f47(f5(x12501),f47(f47(f30(x12501),f47(f47(f29(x12501),x12504),x12505)),x12502)),f47(f47(f30(x12501),f47(f47(f29(x12501),x12503),x12505)),x12506)))+P50(f47(f47(f5(x12501),x12502),f47(f47(f30(x12501),f47(f47(f29(x12501),f47(f47(f14(x12501),x12503),x12504)),x12505)),x12506)))
% 1.23/1.28 [1253]~P49(x12531)+P50(f47(f47(f34(x12531),f47(f47(f30(x12531),f47(f47(f29(x12531),x12532),x12533)),x12534)),f47(f47(f30(x12531),f47(f47(f29(x12531),x12535),x12533)),x12536)))+~P50(f47(f47(f34(x12531),x12534),f47(f47(f30(x12531),f47(f47(f29(x12531),f47(f47(f14(x12531),x12535),x12532)),x12533)),x12536)))
% 1.23/1.28 [1254]~P49(x12541)+P50(f47(f47(f5(x12541),f47(f47(f30(x12541),f47(f47(f29(x12541),x12542),x12543)),x12544)),f47(f47(f30(x12541),f47(f47(f29(x12541),x12545),x12543)),x12546)))+~P50(f47(f47(f5(x12541),x12544),f47(f47(f30(x12541),f47(f47(f29(x12541),f47(f47(f14(x12541),x12545),x12542)),x12543)),x12546)))
% 1.23/1.28 [1256]~P49(x12561)+~P50(f47(f47(f34(x12561),f47(f47(f30(x12561),f47(f47(f29(x12561),x12562),x12564)),x12565)),f47(f47(f30(x12561),f47(f47(f29(x12561),x12563),x12564)),x12566)))+P50(f47(f47(f34(x12561),f47(f47(f30(x12561),f47(f47(f29(x12561),f47(f47(f14(x12561),x12562),x12563)),x12564)),x12565)),x12566))
% 1.23/1.28 [1257]~P49(x12571)+~P50(f47(f47(f5(x12571),f47(f47(f30(x12571),f47(f47(f29(x12571),x12572),x12574)),x12575)),f47(f47(f30(x12571),f47(f47(f29(x12571),x12573),x12574)),x12576)))+P50(f47(f47(f5(x12571),f47(f47(f30(x12571),f47(f47(f29(x12571),f47(f47(f14(x12571),x12572),x12573)),x12574)),x12575)),x12576))
% 1.23/1.28 [1264]~P49(x12641)+P50(f47(f47(f34(x12641),f47(f47(f30(x12641),f47(f47(f29(x12641),x12642),x12643)),x12644)),f47(f47(f30(x12641),f47(f47(f29(x12641),x12645),x12643)),x12646)))+~P50(f47(f47(f34(x12641),f47(f47(f30(x12641),f47(f47(f29(x12641),f47(f47(f14(x12641),x12642),x12645)),x12643)),x12644)),x12646))
% 1.23/1.28 [1265]~P49(x12651)+P50(f47(f47(f5(x12651),f47(f47(f30(x12651),f47(f47(f29(x12651),x12652),x12653)),x12654)),f47(f47(f30(x12651),f47(f47(f29(x12651),x12655),x12653)),x12656)))+~P50(f47(f47(f5(x12651),f47(f47(f30(x12651),f47(f47(f29(x12651),f47(f47(f14(x12651),x12652),x12655)),x12653)),x12654)),x12656))
% 1.23/1.28 [1202]~P8(x12021,f40(f47(f47(f47(f31(x12022),x12023),x12024),x12027),f4(f53(f49(x12022),a2)),f49(x12022)),x12022)+P8(x12021,f40(f47(f47(f47(f31(x12022),x12023),f19(x12024,x12025)),x12026),f4(f53(f49(x12022),a2)),f49(x12022)),x12022)+~P8(x12021,f40(f47(f47(f47(f31(x12022),x12027),x12025),x12026),f4(f53(f49(x12022),a2)),f49(x12022)),x12022)
% 1.23/1.28 [1258]~P10(x12584,x12585,x12582,x12586,x12583,x12587)+P10(x12584,x12585,f40(x12581,x12582,x12583),f47(f47(x12584,x12581),x12586),x12583,x12587)+P50(f46(x12581,x12582,x12583))
% 1.23/1.28 [967]~P12(x9671,x9674,x9675,x9676)+P50(f47(f47(x9671,x9672),x9673))+~P50(f47(f47(x9671,x9672),f47(f47(x9675,x9677),x9673)))
% 1.23/1.28 [969]~P12(x9691,x9694,x9695,x9696)+P50(f47(f47(x9691,x9692),x9693))+~P50(f47(f47(x9691,x9692),f47(f47(x9695,x9693),x9697)))
% 1.23/1.28 [1004]~P12(x10046,x10041,x10042,x10047)+~P50(f47(f47(x10041,x10044),x10045))+P50(f47(f47(x10041,f47(f47(x10042,x10043),x10044)),x10045))
% 1.23/1.28 [1005]~P12(x10056,x10051,x10052,x10057)+~P50(f47(f47(x10051,x10053),x10055))+P50(f47(f47(x10051,f47(f47(x10052,x10053),x10054)),x10055))
% 1.23/1.28 [1006]~P12(x10061,x10066,x10062,x10067)+~P50(f47(f47(x10061,x10064),x10065))+P50(f47(f47(x10061,f47(f47(x10062,x10063),x10064)),x10065))
% 1.23/1.28 [1007]~P12(x10071,x10076,x10072,x10077)+~P50(f47(f47(x10071,x10073),x10075))+P50(f47(f47(x10071,f47(f47(x10072,x10073),x10074)),x10075))
% 1.23/1.28 [1106]~P7(x11065,x11062)+~P12(x11066,x11067,x11061,x11062)+E(f47(f47(f16(x11061,x11062,x11062),x11063),f40(x11064,x11065,x11062)),f47(f47(x11061,x11064),f47(f47(f16(x11061,x11062,x11062),x11063),x11065)))
% 1.23/1.28 [1262]P10(x12621,x12622,x12623,f47(f47(x12621,x12624),x12625),x12626,x12627)+~P10(x12621,x12622,f47(f47(f14(f53(x12626,a2)),x12623),f40(x12624,f4(f53(x12626,a2)),x12626)),x12625,x12626,x12627)+~P50(f46(x12624,x12623,x12626))
% 1.23/1.28 [1263]P11(x12631,x12632,x12633,f47(f47(x12631,x12634),x12635),x12636,x12637)+~P11(x12631,x12632,f47(f47(f14(f53(x12636,a2)),x12633),f40(x12634,f4(f53(x12636,a2)),x12636)),x12635,x12636,x12637)+~P50(f46(x12634,x12633,x12636))
% 1.23/1.28 [607]~P1(x6072)+~P7(x6071,x6072)+E(x6071,f4(f53(x6072,a2)))+P50(f46(f47(f23(x6072),x6071),x6071,x6072))
% 1.23/1.28 [608]~P1(x6082)+~P7(x6081,x6082)+E(x6081,f4(f53(x6082,a2)))+P50(f46(f47(f24(x6082),x6081),x6081,x6082))
% 1.23/1.28 [546]~P45(x5463)+E(x5461,x5462)+E(x5461,f47(f28(x5463),x5462))+~E(f47(f47(f29(x5463),x5461),x5461),f47(f47(f29(x5463),x5462),x5462))
% 1.23/1.28 [561]~P17(x5611)+E(f47(f28(x5611),x5612),x5613)+~E(f47(f47(f27(x5611),x5612),x5613),f4(x5611))+~E(f47(f47(f32(x5611),x5612),x5613),f37(x5611))
% 1.23/1.28 [581]~P1(x5813)+E(x5811,x5812)+P50(f47(f47(f5(x5813),x5812),x5811))+P50(f47(f47(f5(x5813),x5811),x5812))
% 1.23/1.28 [582]~P47(x5823)+E(x5821,x5822)+P50(f47(f47(f5(x5823),x5822),x5821))+P50(f47(f47(f5(x5823),x5821),x5822))
% 1.23/1.28 [633]~P1(x6332)+~P7(x6331,x6332)+E(x6331,f4(f53(x6332,a2)))+E(f47(f47(f39(x6332),x6333),f47(f23(x6332),x6331)),f47(f23(x6332),f40(x6333,x6331,x6332)))
% 1.23/1.28 [634]~P1(x6342)+~P7(x6341,x6342)+E(x6341,f4(f53(x6342,a2)))+E(f47(f47(f38(x6342),x6343),f47(f24(x6342),x6341)),f47(f24(x6342),f40(x6343,x6341,x6342)))
% 1.23/1.28 [645]~P1(x6453)+E(x6451,x6452)+~P50(f47(f47(f34(x6453),x6451),x6452))+P50(f47(f47(f5(x6453),x6451),x6452))
% 1.23/1.28 [651]~P39(x6513)+E(x6511,x6512)+~P50(f47(f47(f34(x6513),x6511),x6512))+P50(f47(f47(f5(x6513),x6511),x6512))
% 1.23/1.28 [713]E(x7131,x7132)+~P39(x7133)+~P50(f47(f47(f34(x7133),x7132),x7131))+~P50(f47(f47(f34(x7133),x7131),x7132))
% 1.23/1.28 [725]~P1(x7251)+~P7(x7253,x7251)+~P50(f46(x7252,x7253,x7251))+P50(f47(f47(f34(x7251),x7252),f47(f23(x7251),x7253)))
% 1.23/1.28 [726]~P40(x7261)+P50(f47(f47(f5(x7261),x7263),x7262))+~P50(f47(f47(f34(x7261),x7263),x7262))+P50(f47(f47(f34(x7261),x7262),x7263))
% 1.23/1.28 [756]E(x7561,x7562)+~E(f47(f47(f14(a1),x7561),x7563),f47(f47(f14(a1),x7562),x7563))+~P50(f47(f47(f34(a1),x7563),x7561))+~P50(f47(f47(f34(a1),x7563),x7562))
% 1.23/1.28 [1218]~P7(x12182,x12183)+~P9(x12181,x12182,x12183,x12183)+E(f41(x12181,x12182,x12183,x12183),x12182)+~P50(f47(f47(f34(f53(x12183,a2)),f41(x12181,x12182,x12183,x12183)),x12182))
% 1.23/1.28 [721]~P27(x7212)+~P7(x7211,x7212)+E(x7211,f4(f53(x7212,a2)))+E(f47(f47(f29(x7212),x7213),f47(f15(f29(x7212),x7212),x7211)),f47(f15(f29(x7212),x7212),f40(x7213,x7211,x7212)))
% 1.23/1.28 [773]~P1(x7731)+~P7(x7732,x7731)+~P50(f46(x7733,x7732,x7731))+P50(f47(f47(f34(x7731),f47(f24(x7731),x7732)),x7733))
% 1.23/1.28 [842]~P2(x8421)+~P7(x8423,x8421)+P50(f46(x8422,x8423,x8421))+E(f47(f47(f16(f30(x8421),x8421,x8421),x8422),x8423),f47(f15(f30(x8421),x8421),f40(x8422,x8423,x8421)))
% 1.23/1.28 [843]~P26(x8431)+~P7(x8433,x8431)+P50(f46(x8432,x8433,x8431))+E(f47(f47(f16(f29(x8431),x8431,x8431),x8432),x8433),f47(f15(f29(x8431),x8431),f40(x8432,x8433,x8431)))
% 1.23/1.28 [987]E(x9871,x9872)+~P7(x9872,x9873)+~P50(f47(f47(f34(a1),f21(x9872,x9873)),f21(x9871,x9873)))+~P50(f47(f47(f34(f53(x9873,a2)),x9871),x9872))
% 1.23/1.28 [1076]~P7(x10763,x10761)+~P50(f47(f47(f5(a1),f21(x10762,x10761)),f21(x10763,x10761)))+~P50(f47(f47(f34(f53(x10761,a2)),x10762),x10763))+P50(f47(f47(f5(f53(x10761,a2)),x10762),x10763))
% 1.23/1.28 [1120]~P50(f47(f47(f34(a1),x11203),x11201))+P50(f47(f47(f34(a1),x11201),x11202))+~P50(f47(f47(f34(a1),x11203),x11202))+~P50(f47(f47(f34(a1),f47(f47(f14(a1),x11201),x11203)),f47(f47(f14(a1),x11202),x11203)))
% 1.23/1.28 [1121]~P50(f47(f47(f34(a1),x11213),x11211))+P50(f47(f47(f5(a1),x11211),x11212))+~P50(f47(f47(f34(a1),x11213),x11212))+~P50(f47(f47(f5(a1),f47(f47(f14(a1),x11211),x11213)),f47(f47(f14(a1),x11212),x11213)))
% 1.23/1.28 [920]~P21(x9201)+~P7(x9202,x9201)+~P50(f46(x9203,x9202,x9201))+P50(f47(f47(f34(x9201),f47(f15(f27(x9201),x9201),x9202)),x9203))
% 1.23/1.28 [729]E(x7291,x7292)+~E(f40(x7293,x7291,x7294),f40(x7293,x7292,x7294))+P50(f46(x7293,x7291,x7294))+P50(f46(x7293,x7292,x7294))
% 1.23/1.28 [1271]~P7(x12712,x12711)+~P50(f46(x12714,x12712,x12711))+~P50(f46(x12713,x12712,x12711))+P50(f47(f47(f5(a1),f21(f47(f47(f14(f53(x12711,a2)),f47(f47(f14(f53(x12711,a2)),x12712),f40(x12713,f4(f53(x12711,a2)),x12711))),f40(x12714,f4(f53(x12711,a2)),x12711)),x12711)),f21(x12712,x12711)))
% 1.23/1.28 [540]~P45(x5403)+~P19(x5403)+E(x5401,x5402)+~E(f47(f47(f30(x5403),x5404),x5401),f47(f47(f30(x5403),x5404),x5402))
% 1.23/1.28 [702]~P7(x7021,x7022)+~P13(x7023,x7022)+E(x7021,f4(f53(x7022,a2)))+E(f47(f15(x7023,x7022),f40(x7024,x7021,x7022)),f47(f47(x7023,x7024),f47(f15(x7023,x7022),x7021)))
% 1.23/1.28 [762]~P39(x7621)+~P50(f47(f47(f34(x7621),x7622),x7624))+P50(f47(f47(f34(x7621),x7622),x7623))+~P50(f47(f47(f34(x7621),x7624),x7623))
% 1.23/1.28 [763]~P40(x7631)+~P50(f47(f47(f34(x7631),x7632),x7634))+P50(f47(f47(f34(x7631),x7632),x7633))+~P50(f47(f47(f34(x7631),x7634),x7633))
% 1.23/1.28 [764]~P39(x7641)+~P50(f47(f47(f5(x7641),x7642),x7644))+P50(f47(f47(f5(x7641),x7642),x7643))+~P50(f47(f47(f34(x7641),x7644),x7643))
% 1.23/1.28 [765]~P39(x7651)+~P50(f47(f47(f5(x7651),x7654),x7653))+P50(f47(f47(f5(x7651),x7652),x7653))+~P50(f47(f47(f34(x7651),x7652),x7654))
% 1.23/1.28 [766]~P39(x7661)+~P50(f47(f47(f5(x7661),x7662),x7664))+P50(f47(f47(f5(x7661),x7662),x7663))+~P50(f47(f47(f5(x7661),x7664),x7663))
% 1.23/1.28 [767]~P40(x7671)+~P50(f47(f47(f5(x7671),x7672),x7674))+P50(f47(f47(f5(x7671),x7672),x7673))+~P50(f47(f47(f34(x7671),x7674),x7673))
% 1.23/1.28 [768]~P40(x7681)+~P50(f47(f47(f5(x7681),x7684),x7683))+P50(f47(f47(f5(x7681),x7682),x7683))+~P50(f47(f47(f34(x7681),x7682),x7684))
% 1.23/1.28 [769]~P40(x7691)+~P50(f47(f47(f5(x7691),x7692),x7694))+P50(f47(f47(f5(x7691),x7692),x7693))+~P50(f47(f47(f5(x7691),x7694),x7693))
% 1.23/1.28 [838]~P7(x8384,x8382)+~P14(x8381,x8382)+P50(f46(x8383,x8384,x8382))+E(f47(f47(f16(x8381,x8382,x8382),x8383),x8384),f47(f15(x8381,x8382),f40(x8383,x8384,x8382)))
% 1.23/1.28 [981]~P1(x9811)+E(f47(f47(f32(f53(x9811,a2)),f43(x9812,x9813,x9811)),f43(x9813,x9814,x9811)),f43(x9812,x9814,x9811))+~P50(f47(f47(f34(x9811),x9813),x9814))+~P50(f47(f47(f34(x9811),x9812),x9813))
% 1.23/1.28 [982]~P1(x9821)+E(f47(f47(f32(f53(x9821,a2)),f43(x9822,x9823,x9821)),f42(x9823,x9824,x9821)),f42(x9822,x9824,x9821))+~P50(f47(f47(f34(x9821),x9823),x9824))+~P50(f47(f47(f34(x9821),x9822),x9823))
% 1.23/1.28 [983]~P1(x9831)+E(f47(f47(f32(f53(x9831,a2)),f42(x9832,x9833,x9831)),f44(x9833,x9834,x9831)),f42(x9832,x9834,x9831))+~P50(f47(f47(f34(x9831),x9833),x9834))+~P50(f47(f47(f34(x9831),x9832),x9833))
% 1.23/1.28 [984]~P1(x9841)+E(f47(f47(f32(f53(x9841,a2)),f44(x9842,x9843,x9841)),f44(x9843,x9844,x9841)),f44(x9842,x9844,x9841))+~P50(f47(f47(f34(x9841),x9843),x9844))+~P50(f47(f47(f34(x9841),x9842),x9843))
% 1.23/1.28 [890]~P1(x8901)+~P50(f47(f47(f34(x8901),x8902),x8904))+~P50(f47(f47(f34(x8901),x8902),x8903))+P50(f47(f47(f34(x8901),x8902),f47(f47(f38(x8901),x8903),x8904)))
% 1.23/1.28 [893]~P21(x8931)+~P50(f47(f47(f34(x8931),x8932),x8934))+~P50(f47(f47(f34(x8931),x8932),x8933))+P50(f47(f47(f34(x8931),x8932),f47(f47(f27(x8931),x8933),x8934)))
% 1.23/1.28 [894]~P1(x8941)+~P50(f47(f47(f5(x8941),x8942),x8944))+~P50(f47(f47(f5(x8941),x8942),x8943))+P50(f47(f47(f5(x8941),x8942),f47(f47(f38(x8941),x8943),x8944)))
% 1.23/1.28 [918]~P1(x9181)+P50(f47(f47(f34(x9181),x9182),x9183))+P50(f47(f47(f34(x9181),x9182),x9184))+~P50(f47(f47(f34(x9181),x9182),f47(f47(f39(x9181),x9183),x9184)))
% 1.23/1.28 [919]~P1(x9191)+P50(f47(f47(f5(x9191),x9192),x9193))+P50(f47(f47(f5(x9191),x9192),x9194))+~P50(f47(f47(f5(x9191),x9192),f47(f47(f39(x9191),x9193),x9194)))
% 1.23/1.28 [1071]~P5(x10712)+P50(f47(f47(f5(f53(x10711,x10712)),x10714),x10713))+~P50(f47(f47(f34(f53(x10711,x10712)),x10714),x10713))+P50(f47(f47(f34(f53(x10711,x10712)),x10713),x10714))
% 1.23/1.28 [1077]P50(f46(x10771,x10772,x10773))+P50(f46(x10771,x10774,x10773))+P50(f47(f47(f5(f53(x10773,a2)),x10774),f40(x10771,x10772,x10773)))+~P50(f47(f47(f34(f53(x10773,a2)),x10774),x10772))
% 1.23/1.28 [1104]P50(f46(x11041,x11042,x11043))+P50(f46(x11041,x11044,x11043))+~P50(f47(f47(f5(f53(x11043,a2)),x11044),f40(x11041,x11042,x11043)))+P50(f47(f47(f34(f53(x11043,a2)),x11044),x11042))
% 1.23/1.28 [1114]~P48(x11141)+P50(f47(f47(f5(x11141),x11143),x11142))+P50(f47(f47(f5(x11141),x11142),x11143))+~P50(f47(f47(f5(x11141),f47(f47(f29(x11141),x11144),x11142)),f47(f47(f29(x11141),x11144),x11143)))
% 1.23/1.28 [1115]~P48(x11151)+P50(f47(f47(f5(x11151),x11153),x11152))+P50(f47(f47(f5(x11151),x11152),x11153))+~P50(f47(f47(f5(x11151),f47(f47(f29(x11151),x11152),x11154)),f47(f47(f29(x11151),x11153),x11154)))
% 1.23/1.28 [1126]P50(f46(x11261,x11262,x11263))+P50(f47(f47(f5(f53(x11263,a2)),x11262),f40(x11261,x11264,x11263)))+~P50(f47(f47(f34(f53(x11263,a2)),x11262),x11264))+~P50(f47(f47(f5(f53(x11263,a2)),x11262),x11264))
% 1.23/1.28 [1182]~P21(x11821)+~P7(x11823,x11821)+~P50(f46(x11824,x11823,x11821))+P50(f47(f47(f34(x11821),f47(f47(f16(f27(x11821),x11821,x11821),x11822),x11823)),f47(f47(f27(x11821),x11824),x11822)))
% 1.23/1.28 [976]~P22(x9761)+~P50(f47(f47(f34(x9761),x9763),x9764))+~P50(f47(f47(f34(x9761),x9762),x9764))+P50(f47(f47(f34(x9761),f47(f47(f32(x9761),x9762),x9763)),x9764))
% 1.23/1.28 [979]~P1(x9791)+~P50(f47(f47(f34(x9791),x9793),x9794))+~P50(f47(f47(f34(x9791),x9792),x9794))+P50(f47(f47(f34(x9791),f47(f47(f39(x9791),x9792),x9793)),x9794))
% 1.23/1.28 [980]~P1(x9801)+~P50(f47(f47(f5(x9801),x9803),x9804))+~P50(f47(f47(f5(x9801),x9802),x9804))+P50(f47(f47(f5(x9801),f47(f47(f39(x9801),x9802),x9803)),x9804))
% 1.23/1.28 [1044]~P1(x10441)+P50(f47(f47(f34(x10441),x10442),x10443))+P50(f47(f47(f34(x10441),x10444),x10443))+~P50(f47(f47(f34(x10441),f47(f47(f38(x10441),x10442),x10444)),x10443))
% 1.23/1.28 [1045]~P1(x10451)+P50(f47(f47(f5(x10451),x10452),x10453))+P50(f47(f47(f5(x10451),x10454),x10453))+~P50(f47(f47(f5(x10451),f47(f47(f38(x10451),x10452),x10454)),x10453))
% 1.23/1.28 [1148]~P22(x11481)+~P7(x11484,x11481)+~P50(f46(x11482,x11484,x11481))+P50(f47(f47(f34(x11481),f47(f47(f32(x11481),x11482),x11483)),f47(f47(f16(f32(x11481),x11481,x11481),x11483),x11484)))
% 1.23/1.28 [1216]~P50(f46(x12161,x12164,x12163))+P50(f46(x12161,x12162,x12163))+~P50(f47(f47(f5(f53(x12163,a2)),x12164),f40(x12161,x12162,x12163)))+P50(f47(f47(f5(f53(x12163,a2)),f47(f47(f14(f53(x12163,a2)),x12164),f40(x12161,f4(f53(x12163,a2)),x12163))),x12162))
% 1.23/1.28 [1231]~P50(f46(x12311,x12314,x12313))+P50(f46(x12311,x12312,x12313))+P50(f47(f47(f5(f53(x12313,a2)),x12314),f40(x12311,x12312,x12313)))+~P50(f47(f47(f5(f53(x12313,a2)),f47(f47(f14(f53(x12313,a2)),x12314),f40(x12311,f4(f53(x12313,a2)),x12313))),x12312))
% 1.23/1.28 [1235]P50(f46(x12351,x12352,x12353))+P50(f47(f47(f5(f53(x12353,a2)),x12354),f40(x12351,x12352,x12353)))+~P50(f47(f47(f34(f53(x12353,a2)),x12354),x12352))+~P50(f47(f47(f5(f53(x12353,a2)),f47(f47(f14(f53(x12353,a2)),x12354),f40(x12351,f4(f53(x12353,a2)),x12353))),x12352))
% 1.23/1.28 [1237]~P50(f46(x12373,x12372,x12371))+P50(f47(f47(f5(f53(x12371,a2)),x12372),f40(x12373,x12374,x12371)))+~P50(f47(f47(f5(f53(x12371,a2)),x12372),x12374))+~P50(f47(f47(f5(f53(x12371,a2)),f47(f47(f14(f53(x12371,a2)),x12372),f40(x12373,f4(f53(x12371,a2)),x12371))),x12374))
% 1.23/1.28 [1239]P50(f47(f47(f5(f53(x12391,a2)),x12392),f40(x12393,x12394,x12391)))+~P50(f47(f47(f34(f53(x12391,a2)),x12392),x12394))+~P50(f47(f47(f5(f53(x12391,a2)),x12392),x12394))+~P50(f47(f47(f5(f53(x12391,a2)),f47(f47(f14(f53(x12391,a2)),x12392),f40(x12393,f4(f53(x12391,a2)),x12391))),x12394))
% 1.23/1.28 [1065]~P2(x10655)+~P7(x10653,x10654)+P50(f46(x10652,x10653,x10654))+E(f25(x10651,f40(x10652,x10653,x10654),x10654,x10655),f47(f47(f30(x10655),f47(x10651,x10652)),f25(x10651,x10653,x10654,x10655)))
% 1.23/1.28 [758]~P33(x7581)+~E(f47(f47(f14(x7581),x7584),x7585),f47(f47(f14(x7581),x7583),x7582))+~P50(f47(f47(f34(x7581),x7585),x7584))+P50(f47(f47(f34(x7581),x7582),x7583))
% 1.23/1.28 [759]~P33(x7591)+~E(f47(f47(f14(x7591),x7593),x7592),f47(f47(f14(x7591),x7594),x7595))+~P50(f47(f47(f34(x7591),x7595),x7594))+P50(f47(f47(f34(x7591),x7592),x7593))
% 1.23/1.28 [760]~P33(x7601)+~E(f47(f47(f14(x7601),x7604),x7605),f47(f47(f14(x7601),x7602),x7603))+~P50(f47(f47(f5(x7601),x7604),x7605))+P50(f47(f47(f5(x7601),x7602),x7603))
% 1.23/1.28 [761]~P33(x7611)+~E(f47(f47(f14(x7611),x7612),x7613),f47(f47(f14(x7611),x7614),x7615))+~P50(f47(f47(f5(x7611),x7614),x7615))+P50(f47(f47(f5(x7611),x7612),x7613))
% 1.23/1.28 [1088]~P39(x10881)+P50(f47(f47(f5(f53(x10881,a2)),f42(x10882,x10883,x10881)),f42(x10884,x10885,x10881)))+~P50(f47(f47(f34(x10881),x10884),x10885))+P50(f47(f47(f34(x10881),x10882),x10883))
% 1.23/1.28 [1102]~P39(x11021)+P50(f47(f47(f34(f53(x11021,a2)),f42(x11022,x11023,x11021)),f42(x11024,x11025,x11021)))+~P50(f47(f47(f34(x11021),x11024),x11022))+~P50(f47(f47(f34(x11021),x11023),x11025))
% 1.23/1.28 [1139]~P1(x11391)+~P50(f47(f47(f34(f53(x11391,a2)),f43(x11393,x11392,x11391)),f43(x11394,x11395,x11391)))+P50(f47(f47(f34(x11391),x11392),x11393))+P50(f47(f47(f34(x11391),x11394),x11393))
% 1.23/1.28 [1140]~P1(x11401)+~P50(f47(f47(f34(f53(x11401,a2)),f43(x11403,x11402,x11401)),f43(x11405,x11404,x11401)))+P50(f47(f47(f34(x11401),x11402),x11403))+P50(f47(f47(f34(x11401),x11402),x11404))
% 1.23/1.28 [1141]~P39(x11411)+~P50(f47(f47(f34(f53(x11411,a2)),f42(x11414,x11412,x11411)),f42(x11415,x11413,x11411)))+P50(f47(f47(f34(x11411),x11412),x11413))+~P50(f47(f47(f34(x11411),x11414),x11412))
% 1.23/1.28 [1142]~P39(x11421)+~P50(f47(f47(f5(f53(x11421,a2)),f42(x11424,x11422,x11421)),f42(x11425,x11423,x11421)))+P50(f47(f47(f34(x11421),x11422),x11423))+~P50(f47(f47(f34(x11421),x11424),x11422))
% 1.23/1.28 [1143]~P39(x11431)+~P50(f47(f47(f34(f53(x11431,a2)),f42(x11433,x11434,x11431)),f42(x11432,x11435,x11431)))+P50(f47(f47(f34(x11431),x11432),x11433))+~P50(f47(f47(f34(x11431),x11433),x11434))
% 1.23/1.28 [1144]~P39(x11441)+~P50(f47(f47(f5(f53(x11441,a2)),f42(x11443,x11444,x11441)),f42(x11442,x11445,x11441)))+P50(f47(f47(f34(x11441),x11442),x11443))+~P50(f47(f47(f34(x11441),x11443),x11444))
% 1.23/1.28 [1220]~P7(x12203,x12204)+~P9(x12205,x12201,x12202,x12204)+P50(f47(f47(f34(a1),f21(x12201,x12202)),f21(x12203,x12204)))+~P50(f47(f47(f34(f53(x12204,a2)),f41(x12205,x12201,x12202,x12204)),x12203))
% 1.23/1.28 [1260]~P2(x12603)+~P10(f30(x12603),x12601,x12602,x12605,x12603,x12603)+P10(f30(x12603),x12604,f40(x12601,x12602,x12603),f47(f47(f30(x12603),x12604),x12605),x12603,x12603)+P50(f46(x12601,x12602,x12603))
% 1.23/1.28 [1261]~P26(x12613)+~P10(f29(x12613),x12611,x12612,x12615,x12613,x12613)+P10(f29(x12613),x12614,f40(x12611,x12612,x12613),f47(f47(f29(x12613),x12614),x12615),x12613,x12613)+P50(f46(x12611,x12612,x12613))
% 1.23/1.28 [1034]~P33(x10341)+~P50(f47(f47(f34(x10341),x10345),x10344))+~P50(f47(f47(f34(x10341),x10342),f47(f47(f30(x10341),x10343),x10345)))+P50(f47(f47(f34(x10341),x10342),f47(f47(f30(x10341),x10343),x10344)))
% 1.23/1.28 [1050]~P30(x10501)+~P50(f47(f47(f34(x10501),x10503),x10505))+~P50(f47(f47(f34(x10501),x10502),x10504))+P50(f47(f47(f34(x10501),f47(f47(f30(x10501),x10502),x10503)),f47(f47(f30(x10501),x10504),x10505)))
% 1.23/1.28 [1051]~P29(x10511)+~P50(f47(f47(f34(x10511),x10513),x10515))+~P50(f47(f47(f5(x10511),x10512),x10514))+P50(f47(f47(f5(x10511),f47(f47(f30(x10511),x10512),x10513)),f47(f47(f30(x10511),x10514),x10515)))
% 1.23/1.28 [1052]~P29(x10521)+~P50(f47(f47(f34(x10521),x10522),x10524))+~P50(f47(f47(f5(x10521),x10523),x10525))+P50(f47(f47(f5(x10521),f47(f47(f30(x10521),x10522),x10523)),f47(f47(f30(x10521),x10524),x10525)))
% 1.23/1.28 [1053]~P29(x10531)+~P50(f47(f47(f5(x10531),x10533),x10535))+~P50(f47(f47(f5(x10531),x10532),x10534))+P50(f47(f47(f5(x10531),f47(f47(f30(x10531),x10532),x10533)),f47(f47(f30(x10531),x10534),x10535)))
% 1.23/1.28 [1112]~P24(x11125)+~P7(x11123,x11122)+P50(f46(x11124,x11123,x11122))+E(f25(x11121,f47(f47(f14(f53(x11122,a2)),x11123),f40(x11124,f4(f53(x11122,a2)),x11122)),x11122,x11125),f25(x11121,x11123,x11122,x11125))
% 1.23/1.28 [1164]~P24(x11645)+~P7(x11643,x11642)+~P50(f46(x11644,x11643,x11642))+E(f25(x11641,f47(f47(f14(f53(x11642,a2)),x11643),f40(x11644,f4(f53(x11642,a2)),x11642)),x11642,x11645),f47(f47(f14(x11645),f25(x11641,x11643,x11642,x11645)),f47(x11641,x11644)))
% 1.23/1.28 [1165]~P46(x11655)+~P7(x11653,x11652)+~P50(f46(x11654,x11653,x11652))+E(f25(x11651,f47(f47(f14(f53(x11652,a2)),x11653),f40(x11654,f4(f53(x11652,a2)),x11652)),x11652,x11655),f47(f47(f14(x11655),f25(x11651,x11653,x11652,x11655)),f47(x11651,x11654)))
% 1.23/1.28 [1177]~P24(x11771)+~P7(x11773,x11774)+E(f47(f47(f14(x11771),f25(x11772,x11773,x11774,x11771)),f25(x11772,x11775,x11774,x11771)),f25(x11772,f47(f47(f14(f53(x11774,a2)),x11773),x11775),x11774,x11771))+~P50(f47(f47(f34(f53(x11774,a2)),x11775),x11773))
% 1.23/1.28 [1173]~P2(x11731)+~P7(x11735,x11734)+~P50(f46(x11733,x11735,x11734))+E(f47(f47(f30(x11731),f47(x11732,x11733)),f25(x11732,f47(f47(f14(f53(x11734,a2)),x11735),f40(x11733,f4(f53(x11734,a2)),x11734)),x11734,x11731)),f25(x11732,x11735,x11734,x11731))
% 1.23/1.28 [1227]~P2(x12271)+~P7(x12275,x12273)+~P7(x12274,x12273)+E(f47(f47(f30(x12271),f25(x12272,f47(f47(f32(f53(x12273,a2)),x12274),x12275),x12273,x12271)),f25(x12272,f47(f47(f27(f53(x12273,a2)),x12274),x12275),x12273,x12271)),f47(f47(f30(x12271),f25(x12272,x12274,x12273,x12271)),f25(x12272,x12275,x12273,x12271)))
% 1.23/1.28 [1242]~P9(x12421,x12424,x12422,x12425)+~P9(x12421,x12423,x12422,x12425)+P9(x12421,f47(f47(f32(f53(x12422,a2)),x12423),x12424),x12422,x12425)+~E(f47(f47(f27(f53(x12425,a2)),f41(x12421,f47(f47(f14(f53(x12422,a2)),x12423),x12424),x12422,x12425)),f41(x12421,f47(f47(f14(f53(x12422,a2)),x12424),x12423),x12422,x12425)),f4(f53(x12425,a2)))
% 1.23/1.28 [1245]~P24(x12451)+~P7(x12455,x12454)+~P7(x12453,x12454)+E(f47(f47(f14(x12451),f47(f47(f30(x12451),f25(x12452,x12453,x12454,x12451)),f25(x12452,x12455,x12454,x12451))),f25(x12452,f47(f47(f27(f53(x12454,a2)),x12453),x12455),x12454,x12451)),f25(x12452,f47(f47(f32(f53(x12454,a2)),x12453),x12455),x12454,x12451))
% 1.23/1.28 [1259]~P14(x12594,x12593)+~P10(x12594,x12591,x12592,x12596,x12593,x12593)+P10(x12594,x12595,f40(x12591,x12592,x12593),f47(f47(x12594,x12595),x12596),x12593,x12593)+P50(f46(x12591,x12592,x12593))
% 1.23/1.28 [1035]~P7(x10354,x10353)+~P12(x10351,x10356,x10352,x10353)+~P50(f46(x10355,x10354,x10353))+P50(f47(f47(x10351,f47(f15(x10352,x10353),x10354)),x10355))
% 1.23/1.28 [1223]~P9(x12232,x12231,x12233,x12234)+~P50(f46(x12235,f41(x12232,x12231,x12233,x12234),x12234))+P50(f46(f47(f26(x12231,x12232,x12233,x12234),x12235),x12236,x12233))+~P50(f47(f47(f34(f53(x12233,a2)),x12231),x12236))
% 1.23/1.28 [1199]~P9(x11992,x11996,x11994,x11991)+E(f47(f47(f14(f53(x11991,a2)),f41(x11992,x11993,x11994,x11991)),f41(x11992,x11995,x11994,x11991)),f41(x11992,f47(f47(f14(f53(x11994,a2)),x11993),x11995),x11994,x11991))+~P50(f47(f47(f34(f53(x11994,a2)),x11995),x11996))+~P50(f47(f47(f34(f53(x11994,a2)),x11993),x11996))
% 1.23/1.28 [1200]~P9(x12002,x12006,x12004,x12001)+E(f47(f47(f27(f53(x12001,a2)),f41(x12002,x12003,x12004,x12001)),f41(x12002,x12005,x12004,x12001)),f41(x12002,f47(f47(f27(f53(x12004,a2)),x12003),x12005),x12004,x12001))+~P50(f47(f47(f34(f53(x12004,a2)),x12005),x12006))+~P50(f47(f47(f34(f53(x12004,a2)),x12003),x12006))
% 1.23/1.28 [1273]~P2(x12731)+~P7(x12736,x12733)+P50(f46(x12735,x12736,x12733))+E(f47(f47(f16(f8(f30(x12731),x12732,x12731,f53(x12731,x12731),x12733),x12733,x12731),x12734),f40(x12735,x12736,x12733)),f47(f47(f30(x12731),f47(x12732,x12735)),f47(f47(f16(f8(f30(x12731),x12732,x12731,f53(x12731,x12731),x12733),x12733,x12731),x12734),x12736)))
% 1.23/1.28 [1274]~P26(x12741)+~P7(x12746,x12743)+P50(f46(x12745,x12746,x12743))+E(f47(f47(f16(f8(f29(x12741),x12742,x12741,f53(x12741,x12741),x12743),x12743,x12741),x12744),f40(x12745,x12746,x12743)),f47(f47(f29(x12741),f47(x12742,x12745)),f47(f47(f16(f8(f29(x12741),x12742,x12741,f53(x12741,x12741),x12743),x12743,x12741),x12744),x12746)))
% 1.23/1.28 [1222]~P8(x12226,f40(f47(f47(f47(f31(a3),x12224),x12227),x12221),f4(f53(f49(a3),a2)),f49(a3)),a3)+P8(x12226,f40(f47(f47(f47(f31(a3),x12223),x12227),x12225),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12224,x12222),f66(x12223,x12224,x12225,x12221)))+P50(f47(f47(x12221,x12222),f65(x12223,x12224,x12225,x12221)))
% 1.23/1.28 [1269]P8(x12693,f40(f47(f47(f47(f31(a3),x12694),x12696),x12695),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P8(x12693,f40(f47(f47(f47(f31(a3),x12697),x12696),x12691),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12697,x12692),f74(x12693,x12694,x12695,x12696)))+P50(f47(f47(x12691,x12692),f75(x12693,x12694,x12695,x12696,x12697,x12691)))
% 1.23/1.28 [1270]P8(x12703,f40(f47(f47(f47(f31(a3),x12704),x12706),x12705),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P8(x12703,f40(f47(f47(f47(f31(a3),x12707),x12706),x12701),f4(f53(f49(a3),a2)),f49(a3)),a3)+~P50(f47(f47(x12707,x12702),f76(x12703,x12704,x12705,x12706)))+P50(f47(f47(x12701,x12702),f77(x12703,x12704,x12705,x12706,x12707,x12701)))
% 1.23/1.28 [991]~P12(x9911,x9916,x9913,x9917)+~P50(f47(f47(x9911,x9912),x9915))+~P50(f47(f47(x9911,x9912),x9914))+P50(f47(f47(x9911,x9912),f47(f47(x9913,x9914),x9915)))
% 1.23/1.28 [1187]~P7(x11875,x11873)+~P12(x11871,x11877,x11872,x11873)+~P50(f46(x11876,x11875,x11873))+P50(f47(f47(x11871,f47(f47(f16(x11872,x11873,x11873),x11874),x11875)),f47(f47(x11872,x11876),x11874)))
% 1.23/1.28 [1272]~P7(x12727,x12724)+~P14(x12721,x12723)+P50(f46(x12726,x12727,x12724))+E(f47(f47(f16(f8(x12721,x12722,x12723,f53(x12723,x12723),x12724),x12724,x12723),x12725),f40(x12726,x12727,x12724)),f47(f47(x12721,f47(x12722,x12726)),f47(f47(f16(f8(x12721,x12722,x12723,f53(x12723,x12723),x12724),x12724,x12723),x12725),x12727)))
% 1.23/1.28 [835]~P1(x8351)+~P7(x8352,x8351)+~P50(f46(x8353,x8352,x8351))+E(f47(f23(x8351),x8352),x8353)+P50(f46(f9(x8352,x8353,x8351),x8352,x8351))
% 1.23/1.28 [836]~P1(x8361)+~P7(x8362,x8361)+~P50(f46(x8363,x8362,x8361))+E(f47(f24(x8361),x8362),x8363)+P50(f46(f10(x8362,x8363,x8361),x8362,x8361))
% 1.23/1.28 [927]~P1(x9271)+~P7(x9272,x9271)+~P50(f46(x9273,x9272,x9271))+E(f47(f24(x9271),x9272),x9273)+~P50(f47(f47(f34(x9271),x9273),f10(x9272,x9273,x9271)))
% 1.23/1.28 [1054]~P1(x10541)+~P7(x10542,x10541)+~P50(f46(x10543,x10542,x10541))+E(f47(f23(x10541),x10542),x10543)+~P50(f47(f47(f34(x10541),f9(x10542,x10543,x10541)),x10543))
% 1.23/1.28 [781]~P2(x7812)+~P7(x7811,x7812)+P50(f46(x7813,x7811,x7812))+E(x7811,f4(f53(x7812,a2)))+E(f47(f47(f30(x7812),x7813),f47(f15(f30(x7812),x7812),x7811)),f47(f15(f30(x7812),x7812),f40(x7813,x7811,x7812)))
% 1.23/1.28 [782]~P26(x7822)+~P7(x7821,x7822)+P50(f46(x7823,x7821,x7822))+E(x7821,f4(f53(x7822,a2)))+E(f47(f47(f29(x7822),x7823),f47(f15(f29(x7822),x7822),x7821)),f47(f15(f29(x7822),x7822),f40(x7823,x7821,x7822)))
% 1.23/1.28 [970]~P1(x9702)+~P7(x9703,x9702)+E(x9701,f4(f53(x9702,a2)))+P50(f47(f47(f34(x9702),f47(f24(x9702),x9703)),f47(f24(x9702),x9701)))+~P50(f47(f47(f34(f53(x9702,a2)),x9701),x9703))
% 1.23/1.28 [971]~P1(x9712)+~P7(x9713,x9712)+E(x9711,f4(f53(x9712,a2)))+P50(f47(f47(f34(x9712),f47(f23(x9712),x9711)),f47(f23(x9712),x9713)))+~P50(f47(f47(f34(f53(x9712,a2)),x9711),x9713))
% 1.23/1.28 [1090]~P1(x10902)+~P7(x10903,x10902)+E(x10901,f4(f53(x10902,a2)))+P50(f47(f47(f34(x10902),f47(f15(f38(x10902),x10902),x10903)),f47(f15(f38(x10902),x10902),x10901)))+~P50(f47(f47(f34(f53(x10902,a2)),x10901),x10903))
% 1.23/1.28 [770]~P7(x7701,x7702)+~P14(x7703,x7702)+P50(f46(x7704,x7701,x7702))+E(x7701,f4(f53(x7702,a2)))+E(f47(f15(x7703,x7702),f40(x7704,x7701,x7702)),f47(f47(x7703,x7704),f47(f15(x7703,x7702),x7701)))
% 1.23/1.28 [1150]~P39(x11501)+~P50(f47(f47(f5(f53(x11501,a2)),f42(x11503,x11504,x11501)),f42(x11502,x11505,x11501)))+~P50(f47(f47(f34(x11501),x11503),x11504))+P50(f47(f47(f5(x11501),x11502),x11503))+P50(f47(f47(f5(x11501),x11504),x11505))
% 1.23/1.28 [1075]~P45(x10755)+~P19(x10755)+E(x10751,x10752)+E(x10753,x10754)+~E(f47(f47(f30(x10755),f47(f47(f29(x10755),x10753),x10751)),f47(f47(f29(x10755),x10754),x10752)),f47(f47(f30(x10755),f47(f47(f29(x10755),x10753),x10752)),f47(f47(f29(x10755),x10754),x10751)))
% 1.23/1.28 [1169]~P2(x11691)+~P7(x11695,x11694)+~P7(x11693,x11694)+~E(f47(f47(f27(f53(x11694,a2)),x11693),x11695),f4(f53(x11694,a2)))+E(f47(f47(f30(x11691),f25(x11692,x11693,x11694,x11691)),f25(x11692,x11695,x11694,x11691)),f25(x11692,f47(f47(f32(f53(x11694,a2)),x11693),x11695),x11694,x11691))
% 1.23/1.28 [1267]~P2(x12673)+~P10(f30(x12673),x12671,x12672,x12675,x12673,x12673)+P10(f30(x12673),x12674,f40(x12671,f47(f47(f14(f53(x12673,a2)),x12672),f40(x12674,f4(f53(x12673,a2)),x12673)),x12673),x12675,x12673,x12673)+~P50(f46(x12674,x12672,x12673))+P50(f46(x12671,x12672,x12673))
% 1.23/1.28 [1268]~P26(x12683)+~P10(f29(x12683),x12681,x12682,x12685,x12683,x12683)+P10(f29(x12683),x12684,f40(x12681,f47(f47(f14(f53(x12683,a2)),x12682),f40(x12684,f4(f53(x12683,a2)),x12683)),x12683),x12685,x12683,x12683)+~P50(f46(x12684,x12682,x12683))+P50(f46(x12681,x12682,x12683))
% 1.23/1.28 [952]E(x9521,x9522)+~P9(x9523,x9524,x9525,x9526)+~E(f47(x9523,x9521),f47(x9523,x9522))+~P50(f46(x9522,x9524,x9525))+~P50(f46(x9521,x9524,x9525))
% 1.23/1.28 [1266]~P14(x12664,x12663)+~P10(x12664,x12661,x12662,x12666,x12663,x12663)+P10(x12664,x12665,f40(x12661,f47(f47(f14(f53(x12663,a2)),x12662),f40(x12665,f4(f53(x12663,a2)),x12663)),x12663),x12666,x12663,x12663)+~P50(f46(x12665,x12662,x12663))+P50(f46(x12661,x12662,x12663))
% 1.23/1.28 [844]~P1(x8442)+~P7(x8441,x8442)+~P7(x8443,x8442)+E(x8441,f4(f53(x8442,a2)))+E(x8443,f4(f53(x8442,a2)))+E(f47(f47(f39(x8442),f47(f23(x8442),x8443)),f47(f23(x8442),x8441)),f47(f23(x8442),f47(f47(f32(f53(x8442,a2)),x8443),x8441)))
% 1.23/1.28 [845]~P1(x8452)+~P7(x8451,x8452)+~P7(x8453,x8452)+E(x8451,f4(f53(x8452,a2)))+E(x8453,f4(f53(x8452,a2)))+E(f47(f47(f38(x8452),f47(f24(x8452),x8453)),f47(f24(x8452),x8451)),f47(f24(x8452),f47(f47(f32(f53(x8452,a2)),x8453),x8451)))
% 1.23/1.28 [955]~P27(x9552)+~P7(x9551,x9552)+~P7(x9553,x9552)+E(x9551,f4(f53(x9552,a2)))+E(x9553,f4(f53(x9552,a2)))+E(f47(f47(f29(x9552),f47(f15(f29(x9552),x9552),x9553)),f47(f15(f29(x9552),x9552),x9551)),f47(f15(f29(x9552),x9552),f47(f47(f32(f53(x9552,a2)),x9553),x9551)))
% 1.23/1.28 [959]~P21(x9592)+~P7(x9591,x9592)+~P50(f46(x9594,x9591,x9592))+E(x9591,f4(f53(x9592,a2)))+P50(f47(f47(f34(x9592),x9593),x9594))+~P50(f47(f47(f34(x9592),x9593),f47(f15(f27(x9592),x9592),x9591)))
% 1.23/1.28 [960]~P1(x9602)+~P7(x9601,x9602)+~P50(f46(x9604,x9601,x9602))+E(x9601,f4(f53(x9602,a2)))+P50(f47(f47(f5(x9602),x9603),x9604))+~P50(f47(f47(f5(x9602),x9603),f47(f15(f38(x9602),x9602),x9601)))
% 1.23/1.28 [921]~P7(x9211,x9212)+~P7(x9213,x9212)+~P13(x9214,x9212)+E(x9211,f4(f53(x9212,a2)))+E(x9213,f4(f53(x9212,a2)))+E(f47(f47(x9214,f47(f15(x9214,x9212),x9213)),f47(f15(x9214,x9212),x9211)),f47(f15(x9214,x9212),f47(f47(f32(f53(x9212,a2)),x9213),x9211)))
% 1.23/1.28 [1010]~P1(x10102)+~P7(x10101,x10102)+~P50(f46(x10104,x10101,x10102))+E(x10101,f4(f53(x10102,a2)))+~P50(f47(f47(f34(x10102),x10104),x10103))+P50(f47(f47(f34(x10102),f47(f15(f38(x10102),x10102),x10101)),x10103))
% 1.23/1.28 [1011]~P1(x10112)+~P7(x10111,x10112)+~P50(f46(x10114,x10111,x10112))+E(x10111,f4(f53(x10112,a2)))+~P50(f47(f47(f5(x10112),x10114),x10113))+P50(f47(f47(f5(x10112),f47(f15(f38(x10112),x10112),x10111)),x10113))
% 1.23/1.28 [1130]~P39(x11301)+P50(f47(f47(f5(f53(x11301,a2)),f42(x11302,x11303,x11301)),f42(x11304,x11305,x11301)))+~P50(f47(f47(f34(x11301),x11304),x11305))+~P50(f47(f47(f34(x11301),x11304),x11302))+~P50(f47(f47(f34(x11301),x11303),x11305))+~P50(f47(f47(f5(x11301),x11304),x11302))
% 1.23/1.28 [1131]~P39(x11311)+P50(f47(f47(f5(f53(x11311,a2)),f42(x11312,x11313,x11311)),f42(x11314,x11315,x11311)))+~P50(f47(f47(f34(x11311),x11314),x11315))+~P50(f47(f47(f34(x11311),x11314),x11312))+~P50(f47(f47(f34(x11311),x11313),x11315))+~P50(f47(f47(f5(x11311),x11313),x11315))
% 1.23/1.28 [1057]~P7(x10571,x10572)+~P12(x10573,x10576,x10577,x10572)+~P50(f46(x10575,x10571,x10572))+E(x10571,f4(f53(x10572,a2)))+P50(f47(f47(x10573,x10574),x10575))+~P50(f47(f47(x10573,x10574),f47(f15(x10577,x10572),x10571)))
% 1.23/1.28 [1058]~P2(x10582)+~P7(x10581,x10582)+~P7(x10583,x10582)+E(x10581,f4(f53(x10582,a2)))+E(x10583,f4(f53(x10582,a2)))+~E(f47(f47(f27(f53(x10582,a2)),x10583),x10581),f4(f53(x10582,a2)))+E(f47(f47(f30(x10582),f47(f15(f30(x10582),x10582),x10583)),f47(f15(f30(x10582),x10582),x10581)),f47(f15(f30(x10582),x10582),f47(f47(f32(f53(x10582,a2)),x10583),x10581)))
% 1.23/1.28 [1059]~P26(x10592)+~P7(x10591,x10592)+~P7(x10593,x10592)+E(x10591,f4(f53(x10592,a2)))+E(x10593,f4(f53(x10592,a2)))+~E(f47(f47(f27(f53(x10592,a2)),x10593),x10591),f4(f53(x10592,a2)))+E(f47(f47(f29(x10592),f47(f15(f29(x10592),x10592),x10593)),f47(f15(f29(x10592),x10592),x10591)),f47(f15(f29(x10592),x10592),f47(f47(f32(f53(x10592,a2)),x10593),x10591)))
% 1.23/1.28 [1037]~P7(x10371,x10372)+~P7(x10373,x10372)+~P14(x10374,x10372)+E(x10371,f4(f53(x10372,a2)))+E(x10373,f4(f53(x10372,a2)))+~E(f47(f47(f27(f53(x10372,a2)),x10373),x10371),f4(f53(x10372,a2)))+E(f47(f47(x10374,f47(f15(x10374,x10372),x10373)),f47(f15(x10374,x10372),x10371)),f47(f15(x10374,x10372),f47(f47(f32(f53(x10372,a2)),x10373),x10371)))
% 1.23/1.28 [1246]~P7(x12463,x12464)+~P7(x12461,x12462)+~P9(x12465,x12461,x12462,x12464)+~P9(x12466,x12463,x12464,x12462)+E(f21(x12461,x12462),f21(x12463,x12464))+~P50(f47(f47(f34(f53(x12464,a2)),f41(x12465,x12461,x12462,x12464)),x12463))+~P50(f47(f47(f34(f53(x12462,a2)),f41(x12466,x12463,x12464,x12462)),x12461))
% 1.23/1.28 %EqnAxiom
% 1.23/1.28 [1]E(x11,x11)
% 1.23/1.28 [2]E(x22,x21)+~E(x21,x22)
% 1.23/1.28 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.23/1.28 [4]~E(x41,x42)+E(f53(x41,x43),f53(x42,x43))
% 1.23/1.28 [5]~E(x51,x52)+E(f53(x53,x51),f53(x53,x52))
% 1.23/1.28 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 1.23/1.28 [7]~E(x71,x72)+E(f34(x71),f34(x72))
% 1.23/1.28 [8]~E(x81,x82)+E(f47(x81,x83),f47(x82,x83))
% 1.23/1.28 [9]~E(x91,x92)+E(f47(x93,x91),f47(x93,x92))
% 1.23/1.28 [10]~E(x101,x102)+E(f31(x101),f31(x102))
% 1.23/1.28 [11]~E(x111,x112)+E(f49(x111),f49(x112))
% 1.23/1.28 [12]~E(x121,x122)+E(f40(x121,x123,x124),f40(x122,x123,x124))
% 1.23/1.28 [13]~E(x131,x132)+E(f40(x133,x131,x134),f40(x133,x132,x134))
% 1.23/1.28 [14]~E(x141,x142)+E(f40(x143,x144,x141),f40(x143,x144,x142))
% 1.23/1.28 [15]~E(x151,x152)+E(f36(x151),f36(x152))
% 1.23/1.28 [16]~E(x161,x162)+E(f35(x161),f35(x162))
% 1.23/1.28 [17]~E(x171,x172)+E(f46(x171,x173,x174),f46(x172,x173,x174))
% 1.23/1.28 [18]~E(x181,x182)+E(f46(x183,x181,x184),f46(x183,x182,x184))
% 1.23/1.28 [19]~E(x191,x192)+E(f46(x193,x194,x191),f46(x193,x194,x192))
% 1.23/1.28 [20]~E(x201,x202)+E(f32(x201),f32(x202))
% 1.23/1.28 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 1.23/1.28 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 1.23/1.28 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233))
% 1.23/1.28 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242))
% 1.23/1.28 [25]~E(x251,x252)+E(f68(x251,x253),f68(x252,x253))
% 1.23/1.28 [26]~E(x261,x262)+E(f68(x263,x261),f68(x263,x262))
% 1.23/1.28 [27]~E(x271,x272)+E(f28(x271),f28(x272))
% 1.23/1.28 [28]~E(x281,x282)+E(f64(x281,x283),f64(x282,x283))
% 1.23/1.28 [29]~E(x291,x292)+E(f64(x293,x291),f64(x293,x292))
% 1.23/1.28 [30]~E(x301,x302)+E(f67(x301,x303,x304,x305),f67(x302,x303,x304,x305))
% 1.23/1.28 [31]~E(x311,x312)+E(f67(x313,x311,x314,x315),f67(x313,x312,x314,x315))
% 1.23/1.28 [32]~E(x321,x322)+E(f67(x323,x324,x321,x325),f67(x323,x324,x322,x325))
% 1.23/1.28 [33]~E(x331,x332)+E(f67(x333,x334,x335,x331),f67(x333,x334,x335,x332))
% 1.23/1.28 [34]~E(x341,x342)+E(f27(x341),f27(x342))
% 1.23/1.28 [35]~E(x351,x352)+E(f6(x351,x353,x354),f6(x352,x353,x354))
% 1.23/1.28 [36]~E(x361,x362)+E(f6(x363,x361,x364),f6(x363,x362,x364))
% 1.23/1.28 [37]~E(x371,x372)+E(f6(x373,x374,x371),f6(x373,x374,x372))
% 1.23/1.28 [38]~E(x381,x382)+E(f39(x381),f39(x382))
% 1.23/1.28 [39]~E(x391,x392)+E(f14(x391),f14(x392))
% 1.23/1.28 [40]~E(x401,x402)+E(f8(x401,x403,x404,x405,x406),f8(x402,x403,x404,x405,x406))
% 1.23/1.28 [41]~E(x411,x412)+E(f8(x413,x411,x414,x415,x416),f8(x413,x412,x414,x415,x416))
% 1.23/1.28 [42]~E(x421,x422)+E(f8(x423,x424,x421,x425,x426),f8(x423,x424,x422,x425,x426))
% 1.23/1.28 [43]~E(x431,x432)+E(f8(x433,x434,x435,x431,x436),f8(x433,x434,x435,x432,x436))
% 1.23/1.28 [44]~E(x441,x442)+E(f8(x443,x444,x445,x446,x441),f8(x443,x444,x445,x446,x442))
% 1.23/1.28 [45]~E(x451,x452)+E(f41(x451,x453,x454,x455),f41(x452,x453,x454,x455))
% 1.23/1.28 [46]~E(x461,x462)+E(f41(x463,x461,x464,x465),f41(x463,x462,x464,x465))
% 1.23/1.28 [47]~E(x471,x472)+E(f41(x473,x474,x471,x475),f41(x473,x474,x472,x475))
% 1.23/1.28 [48]~E(x481,x482)+E(f41(x483,x484,x485,x481),f41(x483,x484,x485,x482))
% 1.23/1.28 [49]~E(x491,x492)+E(f21(x491,x493),f21(x492,x493))
% 1.23/1.28 [50]~E(x501,x502)+E(f21(x503,x501),f21(x503,x502))
% 1.23/1.28 [51]~E(x511,x512)+E(f29(x511),f29(x512))
% 1.23/1.28 [52]~E(x521,x522)+E(f37(x521),f37(x522))
% 1.23/1.28 [53]~E(x531,x532)+E(f44(x531,x533,x534),f44(x532,x533,x534))
% 1.23/1.28 [54]~E(x541,x542)+E(f44(x543,x541,x544),f44(x543,x542,x544))
% 1.23/1.28 [55]~E(x551,x552)+E(f44(x553,x554,x551),f44(x553,x554,x552))
% 1.23/1.28 [56]~E(x561,x562)+E(f25(x561,x563,x564,x565),f25(x562,x563,x564,x565))
% 1.23/1.28 [57]~E(x571,x572)+E(f25(x573,x571,x574,x575),f25(x573,x572,x574,x575))
% 1.23/1.28 [58]~E(x581,x582)+E(f25(x583,x584,x581,x585),f25(x583,x584,x582,x585))
% 1.23/1.28 [59]~E(x591,x592)+E(f25(x593,x594,x595,x591),f25(x593,x594,x595,x592))
% 1.23/1.28 [60]~E(x601,x602)+E(f18(x601,x603,x604,x605,x606),f18(x602,x603,x604,x605,x606))
% 1.23/1.28 [61]~E(x611,x612)+E(f18(x613,x611,x614,x615,x616),f18(x613,x612,x614,x615,x616))
% 1.23/1.28 [62]~E(x621,x622)+E(f18(x623,x624,x621,x625,x626),f18(x623,x624,x622,x625,x626))
% 1.23/1.28 [63]~E(x631,x632)+E(f18(x633,x634,x635,x631,x636),f18(x633,x634,x635,x632,x636))
% 1.23/1.28 [64]~E(x641,x642)+E(f18(x643,x644,x645,x646,x641),f18(x643,x644,x645,x646,x642))
% 1.23/1.28 [65]~E(x651,x652)+E(f38(x651),f38(x652))
% 1.23/1.28 [66]~E(x661,x662)+E(f43(x661,x663,x664),f43(x662,x663,x664))
% 1.23/1.28 [67]~E(x671,x672)+E(f43(x673,x671,x674),f43(x673,x672,x674))
% 1.23/1.28 [68]~E(x681,x682)+E(f43(x683,x684,x681),f43(x683,x684,x682))
% 1.23/1.28 [69]~E(x691,x692)+E(f77(x691,x693,x694,x695,x696,x697),f77(x692,x693,x694,x695,x696,x697))
% 1.23/1.28 [70]~E(x701,x702)+E(f77(x703,x701,x704,x705,x706,x707),f77(x703,x702,x704,x705,x706,x707))
% 1.23/1.28 [71]~E(x711,x712)+E(f77(x713,x714,x711,x715,x716,x717),f77(x713,x714,x712,x715,x716,x717))
% 1.23/1.28 [72]~E(x721,x722)+E(f77(x723,x724,x725,x721,x726,x727),f77(x723,x724,x725,x722,x726,x727))
% 1.23/1.28 [73]~E(x731,x732)+E(f77(x733,x734,x735,x736,x731,x737),f77(x733,x734,x735,x736,x732,x737))
% 1.23/1.28 [74]~E(x741,x742)+E(f77(x743,x744,x745,x746,x747,x741),f77(x743,x744,x745,x746,x747,x742))
% 1.23/1.28 [75]~E(x751,x752)+E(f45(x751,x753,x754,x755),f45(x752,x753,x754,x755))
% 1.23/1.28 [76]~E(x761,x762)+E(f45(x763,x761,x764,x765),f45(x763,x762,x764,x765))
% 1.23/1.28 [77]~E(x771,x772)+E(f45(x773,x774,x771,x775),f45(x773,x774,x772,x775))
% 1.23/1.28 [78]~E(x781,x782)+E(f45(x783,x784,x785,x781),f45(x783,x784,x785,x782))
% 1.23/1.28 [79]~E(x791,x792)+E(f65(x791,x793,x794,x795),f65(x792,x793,x794,x795))
% 1.23/1.28 [80]~E(x801,x802)+E(f65(x803,x801,x804,x805),f65(x803,x802,x804,x805))
% 1.23/1.28 [81]~E(x811,x812)+E(f65(x813,x814,x811,x815),f65(x813,x814,x812,x815))
% 1.23/1.28 [82]~E(x821,x822)+E(f65(x823,x824,x825,x821),f65(x823,x824,x825,x822))
% 1.23/1.28 [83]~E(x831,x832)+E(f22(x831,x833,x834,x835,x836),f22(x832,x833,x834,x835,x836))
% 1.23/1.28 [84]~E(x841,x842)+E(f22(x843,x841,x844,x845,x846),f22(x843,x842,x844,x845,x846))
% 1.23/1.28 [85]~E(x851,x852)+E(f22(x853,x854,x851,x855,x856),f22(x853,x854,x852,x855,x856))
% 1.23/1.28 [86]~E(x861,x862)+E(f22(x863,x864,x865,x861,x866),f22(x863,x864,x865,x862,x866))
% 1.23/1.28 [87]~E(x871,x872)+E(f22(x873,x874,x875,x876,x871),f22(x873,x874,x875,x876,x872))
% 1.23/1.28 [88]~E(x881,x882)+E(f42(x881,x883,x884),f42(x882,x883,x884))
% 1.23/1.28 [89]~E(x891,x892)+E(f42(x893,x891,x894),f42(x893,x892,x894))
% 1.23/1.28 [90]~E(x901,x902)+E(f42(x903,x904,x901),f42(x903,x904,x902))
% 1.23/1.28 [91]~E(x911,x912)+E(f26(x911,x913,x914,x915),f26(x912,x913,x914,x915))
% 1.23/1.28 [92]~E(x921,x922)+E(f26(x923,x921,x924,x925),f26(x923,x922,x924,x925))
% 1.23/1.28 [93]~E(x931,x932)+E(f26(x933,x934,x931,x935),f26(x933,x934,x932,x935))
% 1.23/1.28 [94]~E(x941,x942)+E(f26(x943,x944,x945,x941),f26(x943,x944,x945,x942))
% 1.23/1.28 [95]~E(x951,x952)+E(f19(x951,x953),f19(x952,x953))
% 1.23/1.28 [96]~E(x961,x962)+E(f19(x963,x961),f19(x963,x962))
% 1.23/1.28 [97]~E(x971,x972)+E(f74(x971,x973,x974,x975),f74(x972,x973,x974,x975))
% 1.23/1.28 [98]~E(x981,x982)+E(f74(x983,x981,x984,x985),f74(x983,x982,x984,x985))
% 1.23/1.28 [99]~E(x991,x992)+E(f74(x993,x994,x991,x995),f74(x993,x994,x992,x995))
% 1.23/1.28 [100]~E(x1001,x1002)+E(f74(x1003,x1004,x1005,x1001),f74(x1003,x1004,x1005,x1002))
% 1.23/1.28 [101]~E(x1011,x1012)+E(f71(x1011,x1013,x1014,x1015),f71(x1012,x1013,x1014,x1015))
% 1.23/1.28 [102]~E(x1021,x1022)+E(f71(x1023,x1021,x1024,x1025),f71(x1023,x1022,x1024,x1025))
% 1.23/1.28 [103]~E(x1031,x1032)+E(f71(x1033,x1034,x1031,x1035),f71(x1033,x1034,x1032,x1035))
% 1.23/1.28 [104]~E(x1041,x1042)+E(f71(x1043,x1044,x1045,x1041),f71(x1043,x1044,x1045,x1042))
% 1.23/1.28 [105]~E(x1051,x1052)+E(f16(x1051,x1053,x1054),f16(x1052,x1053,x1054))
% 1.23/1.28 [106]~E(x1061,x1062)+E(f16(x1063,x1061,x1064),f16(x1063,x1062,x1064))
% 1.23/1.28 [107]~E(x1071,x1072)+E(f16(x1073,x1074,x1071),f16(x1073,x1074,x1072))
% 1.23/1.28 [108]~E(x1081,x1082)+E(f33(x1081,x1083),f33(x1082,x1083))
% 1.23/1.28 [109]~E(x1091,x1092)+E(f33(x1093,x1091),f33(x1093,x1092))
% 1.23/1.28 [110]~E(x1101,x1102)+E(f24(x1101),f24(x1102))
% 1.23/1.28 [111]~E(x1111,x1112)+E(f75(x1111,x1113,x1114,x1115,x1116,x1117),f75(x1112,x1113,x1114,x1115,x1116,x1117))
% 1.23/1.28 [112]~E(x1121,x1122)+E(f75(x1123,x1121,x1124,x1125,x1126,x1127),f75(x1123,x1122,x1124,x1125,x1126,x1127))
% 1.23/1.28 [113]~E(x1131,x1132)+E(f75(x1133,x1134,x1131,x1135,x1136,x1137),f75(x1133,x1134,x1132,x1135,x1136,x1137))
% 1.23/1.28 [114]~E(x1141,x1142)+E(f75(x1143,x1144,x1145,x1141,x1146,x1147),f75(x1143,x1144,x1145,x1142,x1146,x1147))
% 1.23/1.28 [115]~E(x1151,x1152)+E(f75(x1153,x1154,x1155,x1156,x1151,x1157),f75(x1153,x1154,x1155,x1156,x1152,x1157))
% 1.23/1.28 [116]~E(x1161,x1162)+E(f75(x1163,x1164,x1165,x1166,x1167,x1161),f75(x1163,x1164,x1165,x1166,x1167,x1162))
% 1.23/1.28 [117]~E(x1171,x1172)+E(f66(x1171,x1173,x1174,x1175),f66(x1172,x1173,x1174,x1175))
% 1.23/1.28 [118]~E(x1181,x1182)+E(f66(x1183,x1181,x1184,x1185),f66(x1183,x1182,x1184,x1185))
% 1.23/1.28 [119]~E(x1191,x1192)+E(f66(x1193,x1194,x1191,x1195),f66(x1193,x1194,x1192,x1195))
% 1.23/1.28 [120]~E(x1201,x1202)+E(f66(x1203,x1204,x1205,x1201),f66(x1203,x1204,x1205,x1202))
% 1.23/1.28 [121]~E(x1211,x1212)+E(f7(x1211,x1213,x1214,x1215),f7(x1212,x1213,x1214,x1215))
% 1.23/1.28 [122]~E(x1221,x1222)+E(f7(x1223,x1221,x1224,x1225),f7(x1223,x1222,x1224,x1225))
% 1.23/1.28 [123]~E(x1231,x1232)+E(f7(x1233,x1234,x1231,x1235),f7(x1233,x1234,x1232,x1235))
% 1.23/1.28 [124]~E(x1241,x1242)+E(f7(x1243,x1244,x1245,x1241),f7(x1243,x1244,x1245,x1242))
% 1.23/1.28 [125]~E(x1251,x1252)+E(f9(x1251,x1253,x1254),f9(x1252,x1253,x1254))
% 1.23/1.28 [126]~E(x1261,x1262)+E(f9(x1263,x1261,x1264),f9(x1263,x1262,x1264))
% 1.23/1.28 [127]~E(x1271,x1272)+E(f9(x1273,x1274,x1271),f9(x1273,x1274,x1272))
% 1.23/1.28 [128]~E(x1281,x1282)+E(f23(x1281),f23(x1282))
% 1.23/1.28 [129]~E(x1291,x1292)+E(f20(x1291,x1293),f20(x1292,x1293))
% 1.23/1.28 [130]~E(x1301,x1302)+E(f20(x1303,x1301),f20(x1303,x1302))
% 1.23/1.28 [131]~E(x1311,x1312)+E(f13(x1311,x1313,x1314,x1315,x1316),f13(x1312,x1313,x1314,x1315,x1316))
% 1.23/1.28 [132]~E(x1321,x1322)+E(f13(x1323,x1321,x1324,x1325,x1326),f13(x1323,x1322,x1324,x1325,x1326))
% 1.23/1.28 [133]~E(x1331,x1332)+E(f13(x1333,x1334,x1331,x1335,x1336),f13(x1333,x1334,x1332,x1335,x1336))
% 1.23/1.28 [134]~E(x1341,x1342)+E(f13(x1343,x1344,x1345,x1341,x1346),f13(x1343,x1344,x1345,x1342,x1346))
% 1.23/1.28 [135]~E(x1351,x1352)+E(f13(x1353,x1354,x1355,x1356,x1351),f13(x1353,x1354,x1355,x1356,x1352))
% 1.23/1.28 [136]~E(x1361,x1362)+E(f12(x1361,x1363,x1364,x1365),f12(x1362,x1363,x1364,x1365))
% 1.23/1.29 [137]~E(x1371,x1372)+E(f12(x1373,x1371,x1374,x1375),f12(x1373,x1372,x1374,x1375))
% 1.23/1.29 [138]~E(x1381,x1382)+E(f12(x1383,x1384,x1381,x1385),f12(x1383,x1384,x1382,x1385))
% 1.23/1.29 [139]~E(x1391,x1392)+E(f12(x1393,x1394,x1395,x1391),f12(x1393,x1394,x1395,x1392))
% 1.23/1.29 [140]~E(x1401,x1402)+E(f73(x1401,x1403,x1404,x1405),f73(x1402,x1403,x1404,x1405))
% 1.23/1.29 [141]~E(x1411,x1412)+E(f73(x1413,x1411,x1414,x1415),f73(x1413,x1412,x1414,x1415))
% 1.23/1.29 [142]~E(x1421,x1422)+E(f73(x1423,x1424,x1421,x1425),f73(x1423,x1424,x1422,x1425))
% 1.23/1.29 [143]~E(x1431,x1432)+E(f73(x1433,x1434,x1435,x1431),f73(x1433,x1434,x1435,x1432))
% 1.23/1.29 [144]~E(x1441,x1442)+E(f63(x1441,x1443),f63(x1442,x1443))
% 1.23/1.29 [145]~E(x1451,x1452)+E(f63(x1453,x1451),f63(x1453,x1452))
% 1.23/1.29 [146]~E(x1461,x1462)+E(f76(x1461,x1463,x1464,x1465),f76(x1462,x1463,x1464,x1465))
% 1.23/1.29 [147]~E(x1471,x1472)+E(f76(x1473,x1471,x1474,x1475),f76(x1473,x1472,x1474,x1475))
% 1.23/1.29 [148]~E(x1481,x1482)+E(f76(x1483,x1484,x1481,x1485),f76(x1483,x1484,x1482,x1485))
% 1.23/1.29 [149]~E(x1491,x1492)+E(f76(x1493,x1494,x1495,x1491),f76(x1493,x1494,x1495,x1492))
% 1.23/1.29 [150]~E(x1501,x1502)+E(f11(x1501,x1503,x1504,x1505),f11(x1502,x1503,x1504,x1505))
% 1.23/1.29 [151]~E(x1511,x1512)+E(f11(x1513,x1511,x1514,x1515),f11(x1513,x1512,x1514,x1515))
% 1.23/1.29 [152]~E(x1521,x1522)+E(f11(x1523,x1524,x1521,x1525),f11(x1523,x1524,x1522,x1525))
% 1.23/1.29 [153]~E(x1531,x1532)+E(f11(x1533,x1534,x1535,x1531),f11(x1533,x1534,x1535,x1532))
% 1.23/1.29 [154]~E(x1541,x1542)+E(f72(x1541,x1543,x1544,x1545),f72(x1542,x1543,x1544,x1545))
% 1.23/1.29 [155]~E(x1551,x1552)+E(f72(x1553,x1551,x1554,x1555),f72(x1553,x1552,x1554,x1555))
% 1.23/1.29 [156]~E(x1561,x1562)+E(f72(x1563,x1564,x1561,x1565),f72(x1563,x1564,x1562,x1565))
% 1.23/1.29 [157]~E(x1571,x1572)+E(f72(x1573,x1574,x1575,x1571),f72(x1573,x1574,x1575,x1572))
% 1.23/1.29 [158]~E(x1581,x1582)+E(f70(x1581,x1583,x1584,x1585),f70(x1582,x1583,x1584,x1585))
% 1.23/1.29 [159]~E(x1591,x1592)+E(f70(x1593,x1591,x1594,x1595),f70(x1593,x1592,x1594,x1595))
% 1.23/1.29 [160]~E(x1601,x1602)+E(f70(x1603,x1604,x1601,x1605),f70(x1603,x1604,x1602,x1605))
% 1.23/1.29 [161]~E(x1611,x1612)+E(f70(x1613,x1614,x1615,x1611),f70(x1613,x1614,x1615,x1612))
% 1.23/1.29 [162]~E(x1621,x1622)+E(f10(x1621,x1623,x1624),f10(x1622,x1623,x1624))
% 1.23/1.29 [163]~E(x1631,x1632)+E(f10(x1633,x1631,x1634),f10(x1633,x1632,x1634))
% 1.23/1.29 [164]~E(x1641,x1642)+E(f10(x1643,x1644,x1641),f10(x1643,x1644,x1642))
% 1.23/1.29 [165]~E(x1651,x1652)+E(f69(x1651,x1653),f69(x1652,x1653))
% 1.23/1.29 [166]~E(x1661,x1662)+E(f69(x1663,x1661),f69(x1663,x1662))
% 1.23/1.29 [167]~P1(x1671)+P1(x1672)+~E(x1671,x1672)
% 1.23/1.29 [168]~P2(x1681)+P2(x1682)+~E(x1681,x1682)
% 1.23/1.29 [169]~P3(x1691)+P3(x1692)+~E(x1691,x1692)
% 1.23/1.29 [170]~P50(x1701)+P50(x1702)+~E(x1701,x1702)
% 1.23/1.29 [171]~P21(x1711)+P21(x1712)+~E(x1711,x1712)
% 1.23/1.29 [172]~P49(x1721)+P49(x1722)+~E(x1721,x1722)
% 1.23/1.29 [173]~P22(x1731)+P22(x1732)+~E(x1731,x1732)
% 1.23/1.29 [174]P7(x1742,x1743)+~E(x1741,x1742)+~P7(x1741,x1743)
% 1.23/1.29 [175]P7(x1753,x1752)+~E(x1751,x1752)+~P7(x1753,x1751)
% 1.23/1.29 [176]~P4(x1761)+P4(x1762)+~E(x1761,x1762)
% 1.23/1.29 [177]~P38(x1771)+P38(x1772)+~E(x1771,x1772)
% 1.23/1.29 [178]~P39(x1781)+P39(x1782)+~E(x1781,x1782)
% 1.23/1.29 [179]P8(x1792,x1793,x1794)+~E(x1791,x1792)+~P8(x1791,x1793,x1794)
% 1.23/1.29 [180]P8(x1803,x1802,x1804)+~E(x1801,x1802)+~P8(x1803,x1801,x1804)
% 1.23/1.29 [181]P8(x1813,x1814,x1812)+~E(x1811,x1812)+~P8(x1813,x1814,x1811)
% 1.23/1.29 [182]~P40(x1821)+P40(x1822)+~E(x1821,x1822)
% 1.23/1.29 [183]P12(x1832,x1833,x1834,x1835)+~E(x1831,x1832)+~P12(x1831,x1833,x1834,x1835)
% 1.23/1.29 [184]P12(x1843,x1842,x1844,x1845)+~E(x1841,x1842)+~P12(x1843,x1841,x1844,x1845)
% 1.23/1.29 [185]P12(x1853,x1854,x1852,x1855)+~E(x1851,x1852)+~P12(x1853,x1854,x1851,x1855)
% 1.23/1.29 [186]P12(x1863,x1864,x1865,x1862)+~E(x1861,x1862)+~P12(x1863,x1864,x1865,x1861)
% 1.23/1.29 [187]~P5(x1871)+P5(x1872)+~E(x1871,x1872)
% 1.23/1.29 [188]~P20(x1881)+P20(x1882)+~E(x1881,x1882)
% 1.23/1.29 [189]~P17(x1891)+P17(x1892)+~E(x1891,x1892)
% 1.23/1.29 [190]~P29(x1901)+P29(x1902)+~E(x1901,x1902)
% 1.23/1.29 [191]~P30(x1911)+P30(x1912)+~E(x1911,x1912)
% 1.23/1.29 [192]P9(x1922,x1923,x1924,x1925)+~E(x1921,x1922)+~P9(x1921,x1923,x1924,x1925)
% 1.23/1.29 [193]P9(x1933,x1932,x1934,x1935)+~E(x1931,x1932)+~P9(x1933,x1931,x1934,x1935)
% 1.23/1.29 [194]P9(x1943,x1944,x1942,x1945)+~E(x1941,x1942)+~P9(x1943,x1944,x1941,x1945)
% 1.23/1.29 [195]P9(x1953,x1954,x1955,x1952)+~E(x1951,x1952)+~P9(x1953,x1954,x1955,x1951)
% 1.23/1.29 [196]~P36(x1961)+P36(x1962)+~E(x1961,x1962)
% 1.23/1.29 [197]~P6(x1971)+P6(x1972)+~E(x1971,x1972)
% 1.23/1.29 [198]~P23(x1981)+P23(x1982)+~E(x1981,x1982)
% 1.23/1.29 [199]P13(x1992,x1993)+~E(x1991,x1992)+~P13(x1991,x1993)
% 1.23/1.29 [200]P13(x2003,x2002)+~E(x2001,x2002)+~P13(x2003,x2001)
% 1.23/1.29 [201]~P18(x2011)+P18(x2012)+~E(x2011,x2012)
% 1.23/1.29 [202]~P43(x2021)+P43(x2022)+~E(x2021,x2022)
% 1.23/1.29 [203]~P44(x2031)+P44(x2032)+~E(x2031,x2032)
% 1.23/1.29 [204]~P25(x2041)+P25(x2042)+~E(x2041,x2042)
% 1.23/1.29 [205]~P28(x2051)+P28(x2052)+~E(x2051,x2052)
% 1.23/1.29 [206]~P26(x2061)+P26(x2062)+~E(x2061,x2062)
% 1.23/1.29 [207]~P41(x2071)+P41(x2072)+~E(x2071,x2072)
% 1.23/1.29 [208]~P15(x2081)+P15(x2082)+~E(x2081,x2082)
% 1.23/1.29 [209]~P24(x2091)+P24(x2092)+~E(x2091,x2092)
% 1.23/1.29 [210]~P16(x2101)+P16(x2102)+~E(x2101,x2102)
% 1.23/1.29 [211]~P37(x2111)+P37(x2112)+~E(x2111,x2112)
% 1.23/1.29 [212]~P31(x2121)+P31(x2122)+~E(x2121,x2122)
% 1.23/1.29 [213]~P42(x2131)+P42(x2132)+~E(x2131,x2132)
% 1.23/1.29 [214]~P35(x2141)+P35(x2142)+~E(x2141,x2142)
% 1.23/1.29 [215]P10(x2152,x2153,x2154,x2155,x2156,x2157)+~E(x2151,x2152)+~P10(x2151,x2153,x2154,x2155,x2156,x2157)
% 1.23/1.29 [216]P10(x2163,x2162,x2164,x2165,x2166,x2167)+~E(x2161,x2162)+~P10(x2163,x2161,x2164,x2165,x2166,x2167)
% 1.23/1.29 [217]P10(x2173,x2174,x2172,x2175,x2176,x2177)+~E(x2171,x2172)+~P10(x2173,x2174,x2171,x2175,x2176,x2177)
% 1.23/1.29 [218]P10(x2183,x2184,x2185,x2182,x2186,x2187)+~E(x2181,x2182)+~P10(x2183,x2184,x2185,x2181,x2186,x2187)
% 1.23/1.29 [219]P10(x2193,x2194,x2195,x2196,x2192,x2197)+~E(x2191,x2192)+~P10(x2193,x2194,x2195,x2196,x2191,x2197)
% 1.23/1.29 [220]P10(x2203,x2204,x2205,x2206,x2207,x2202)+~E(x2201,x2202)+~P10(x2203,x2204,x2205,x2206,x2207,x2201)
% 1.23/1.29 [221]~P33(x2211)+P33(x2212)+~E(x2211,x2212)
% 1.23/1.29 [222]~P34(x2221)+P34(x2222)+~E(x2221,x2222)
% 1.23/1.29 [223]~P46(x2231)+P46(x2232)+~E(x2231,x2232)
% 1.23/1.29 [224]~P32(x2241)+P32(x2242)+~E(x2241,x2242)
% 1.23/1.29 [225]P14(x2252,x2253)+~E(x2251,x2252)+~P14(x2251,x2253)
% 1.23/1.29 [226]P14(x2263,x2262)+~E(x2261,x2262)+~P14(x2263,x2261)
% 1.23/1.29 [227]P11(x2272,x2273,x2274,x2275,x2276,x2277)+~E(x2271,x2272)+~P11(x2271,x2273,x2274,x2275,x2276,x2277)
% 1.23/1.29 [228]P11(x2283,x2282,x2284,x2285,x2286,x2287)+~E(x2281,x2282)+~P11(x2283,x2281,x2284,x2285,x2286,x2287)
% 1.23/1.29 [229]P11(x2293,x2294,x2292,x2295,x2296,x2297)+~E(x2291,x2292)+~P11(x2293,x2294,x2291,x2295,x2296,x2297)
% 1.23/1.29 [230]P11(x2303,x2304,x2305,x2302,x2306,x2307)+~E(x2301,x2302)+~P11(x2303,x2304,x2305,x2301,x2306,x2307)
% 1.23/1.29 [231]P11(x2313,x2314,x2315,x2316,x2312,x2317)+~E(x2311,x2312)+~P11(x2313,x2314,x2315,x2316,x2311,x2317)
% 1.23/1.29 [232]P11(x2323,x2324,x2325,x2326,x2327,x2322)+~E(x2321,x2322)+~P11(x2323,x2324,x2325,x2326,x2327,x2321)
% 1.23/1.29 [233]~P27(x2331)+P27(x2332)+~E(x2331,x2332)
% 1.23/1.29 [234]~P19(x2341)+P19(x2342)+~E(x2341,x2342)
% 1.23/1.29 [235]~P45(x2351)+P45(x2352)+~E(x2351,x2352)
% 1.23/1.29 [236]~P47(x2361)+P47(x2362)+~E(x2361,x2362)
% 1.23/1.29 [237]~P48(x2371)+P48(x2372)+~E(x2371,x2372)
% 1.23/1.29
% 1.23/1.29 %-------------------------------------------
% 1.23/1.29 cnf(1279,plain,
% 1.23/1.29 ($false),
% 1.23/1.29 inference(scs_inference,[],[376,436,1201]),
% 1.23/1.29 ['proof']).
% 1.23/1.29 % SZS output end Proof
% 1.23/1.29 % Total time :0.100000s
%------------------------------------------------------------------------------