TSTP Solution File: SWV905-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV905-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:35:45 EDT 2023
% Result : Unsatisfiable 0.64s 1.29s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV905-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n013.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 06:16:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.53/1.24 %-------------------------------------------
% 0.53/1.24 % File :CSE---1.6
% 0.53/1.24 % Problem :theBenchmark
% 0.53/1.24 % Transform :cnf
% 0.53/1.24 % Format :tptp:raw
% 0.53/1.24 % Command :java -jar mcs_scs.jar %d %s
% 0.53/1.24
% 0.53/1.24 % Result :Theorem 0.550000s
% 0.53/1.24 % Output :CNFRefutation 0.550000s
% 0.53/1.24 %-------------------------------------------
% 0.53/1.25 %------------------------------------------------------------------------------
% 0.53/1.25 % File : SWV905-1 : TPTP v8.1.2. Released v4.1.0.
% 0.53/1.25 % Domain : Software Verification
% 0.53/1.25 % Problem : Hoare logic with procedures 452_1
% 0.53/1.25 % Version : Especial.
% 0.53/1.25 % English : Completeness is taken relative to completeness of the underlying
% 0.53/1.25 % logic. Two versions of completeness proof: nested single recursion
% 0.53/1.25 % and simultaneous recursion in call rule.
% 0.53/1.25
% 0.53/1.25 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.53/1.25 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.53/1.25 % Source : [Nip10]
% 0.53/1.25 % Names : Hoare-452_1 [Nip10]
% 0.53/1.25
% 0.53/1.25 % Status : Unsatisfiable
% 0.53/1.25 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 0.53/1.25 % Syntax : Number of clauses : 486 ( 139 unt; 43 nHn; 240 RR)
% 0.53/1.25 % Number of literals : 1017 ( 289 equ; 507 neg)
% 0.53/1.25 % Maximal clause size : 7 ( 2 avg)
% 0.53/1.25 % Maximal term depth : 7 ( 2 avg)
% 0.53/1.25 % Number of predicates : 28 ( 27 usr; 2 prp; 0-9 aty)
% 0.53/1.25 % Number of functors : 44 ( 44 usr; 9 con; 0-4 aty)
% 0.53/1.25 % Number of variables : 1726 ( 292 sgn)
% 0.53/1.25 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/1.25
% 0.53/1.25 % Comments :
% 0.53/1.25 %------------------------------------------------------------------------------
% 0.53/1.25 cnf(cls_map__add__SomeD_1,axiom,
% 0.53/1.25 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_OSome(V_x,T_a)
% 0.53/1.25 | hAPP(V_m,V_k) = c_Option_Ooption_OSome(V_x,T_a)
% 0.53/1.25 | hAPP(V_n,V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_map__add__Some__iff_3,axiom,
% 0.53/1.25 ( hAPP(V_m,V_k) != c_Option_Ooption_OSome(V_x,T_a)
% 0.53/1.25 | hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
% 0.53/1.25 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_map__add__None_1,axiom,
% 0.53/1.25 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
% 0.53/1.25 | hAPP(V_m,V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_map__add__None_0,axiom,
% 0.53/1.25 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
% 0.53/1.25 | hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_vimage__mono_0,axiom,
% 0.53/1.25 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 0.53/1.25 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.53/1.25 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.53/1.25 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_fun__diff__def_0,axiom,
% 0.53/1.25 ( ~ class_HOL_Ominus(T_b)
% 0.53/1.25 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Int__subset__iff_1,axiom,
% 0.53/1.25 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.25 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Int__subset__iff_0,axiom,
% 0.53/1.25 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.53/1.25 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__infE_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(V_x,V_a,T_a)
% 0.53/1.25 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__infE_1,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(V_x,V_b,T_a)
% 0.53/1.25 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__infI1_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 0.53/1.25 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__infI2_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 0.53/1.25 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__inf__iff_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(V_x,V_y,T_a)
% 0.53/1.25 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_le__inf__iff_1,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.25 | c_lessequals(V_x,V_z,T_a)
% 0.53/1.25 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Un__Diff_0,axiom,
% 0.53/1.25 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Un__commute_0,axiom,
% 0.53/1.25 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_sup__commute_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.25 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.25 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Un__left__absorb_0,axiom,
% 0.53/1.25 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_sup__left__idem_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.25 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.53/1.25 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.25 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Diff__disjoint_0,axiom,
% 0.53/1.25 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
% 0.53/1.25 ( 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))
% 0.53/1.25 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.25 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.53/1.25 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.25 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.25 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)
% 0.53/1.25 | c_Finite__Set_Ofold1(V_times,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) = hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_finite_0,axiom,
% 0.53/1.25 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.53/1.25 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.25
% 0.53/1.25 cnf(cls_Int__Collect_0,axiom,
% 0.53/1.25 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.26 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_vimage__Un_0,axiom,
% 0.53/1.26 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_map__add__None_2,axiom,
% 0.53/1.26 ( hAPP(V_m,V_k) != c_Option_Ooption_ONone(T_a)
% 0.53/1.26 | hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
% 0.53/1.26 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_map__add__find__right_0,axiom,
% 0.53/1.26 ( hAPP(V_n,V_k) != c_Option_Ooption_OSome(V_xx,T_a)
% 0.53/1.26 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_OSome(V_xx,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_map__add__Some__iff_2,axiom,
% 0.53/1.26 ( hAPP(V_n,V_k) != c_Option_Ooption_OSome(V_x,T_a)
% 0.53/1.26 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf1E_1,axiom,
% 0.53/1.26 ( hBOOL(hAPP(V_B,V_x))
% 0.53/1.26 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf1E_0,axiom,
% 0.53/1.26 ( hBOOL(hAPP(V_A,V_x))
% 0.53/1.26 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_map__le__map__add_0,axiom,
% 0.53/1.26 c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__subset__conv_1,axiom,
% 0.53/1.26 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__subset__conv_0,axiom,
% 0.53/1.26 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_vimage__Int_0,axiom,
% 0.53/1.26 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)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_finite__Int_1,axiom,
% 0.53/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.53/1.26 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_finite__Int_0,axiom,
% 0.53/1.26 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.53/1.26 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_map__add__le__mapI_0,axiom,
% 0.53/1.26 ( c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b)
% 0.53/1.26 | ~ c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b)
% 0.53/1.26 | ~ c_Map_Omap__le(V_g,V_h,T_a,T_b)
% 0.53/1.26 | ~ c_Map_Omap__le(V_f,V_h,T_a,T_b) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__funD_0,axiom,
% 0.53/1.26 ( ~ class_HOL_Oord(T_b)
% 0.53/1.26 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.53/1.26 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__iff_2,axiom,
% 0.53/1.26 ( 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))
% 0.53/1.26 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_IntI_0,axiom,
% 0.53/1.26 ( 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))
% 0.53/1.26 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.26 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_subset__iff_0,axiom,
% 0.53/1.26 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.53/1.26 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.53/1.26 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__Int__crazy_0,axiom,
% 0.53/1.26 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),tc_fun(T_a,tc_bool)) = 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)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__subset_0,axiom,
% 0.53/1.26 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_distrib__inf__le_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(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),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__partition_0,axiom,
% 0.53/1.26 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.53/1.26 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | 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) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__commute_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.26 | 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) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__commute_0,axiom,
% 0.53/1.26 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) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__sup__iff_2,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.53/1.26 | ~ c_lessequals(V_y,V_z,T_a)
% 0.53/1.26 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__least_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.53/1.26 | ~ c_lessequals(V_z,V_x,T_a)
% 0.53/1.26 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__ge2_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__ge1_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__supI_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.53/1.26 | ~ c_lessequals(V_b,V_x,T_a)
% 0.53/1.26 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__least_0,axiom,
% 0.53/1.26 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__upper1_0,axiom,
% 0.53/1.26 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__upper2_0,axiom,
% 0.53/1.26 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__subset__iff_2,axiom,
% 0.53/1.26 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__absorb2_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.26 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 0.53/1.26 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__iff__inf_1,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.26 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 0.53/1.26 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__iff__inf_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.26 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 0.53/1.26 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__absorb1_0,axiom,
% 0.53/1.26 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 0.53/1.26 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__absorb2_0,axiom,
% 0.53/1.26 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 0.53/1.26 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.26 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__left__commute_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__assoc_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__assoc_0,axiom,
% 0.53/1.26 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__left__commute_0,axiom,
% 0.53/1.26 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_image__diff__subset_0,axiom,
% 0.53/1.26 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Max__mono_0,axiom,
% 0.53/1.26 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.26 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 0.53/1.26 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.53/1.26 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.26 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_eq__eqI_0,axiom,
% 0.53/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.53/1.26 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.53/1.26 | V_x_H = V_y_H ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_eq__eqI_1,axiom,
% 0.53/1.26 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.53/1.26 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.53/1.26 | V_xa = V_y ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_option_Osimps_I2_J_0,axiom,
% 0.53/1.26 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_not__Some__eq_1,axiom,
% 0.53/1.26 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__idemp_0,axiom,
% 0.53/1.26 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.53/1.26 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__idem_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.26 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Un__absorb_0,axiom,
% 0.53/1.26 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__Collect_1,axiom,
% 0.53/1.26 ( hBOOL(hAPP(V_P,V_x))
% 0.53/1.26 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.53/1.26 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x) = c_Lattices_Oupper__semilattice__class_Osup(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),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.53/1.26 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(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),T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__Un__distrib_0,axiom,
% 0.53/1.26 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.53/1.26 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))),V_A) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_sup__fun__eq_0,axiom,
% 0.53/1.26 ( ~ class_Lattices_Olattice(T_b)
% 0.53/1.26 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_Diff__triv_0,axiom,
% 0.53/1.26 ( 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))
% 0.53/1.26 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_fold__graph__imp__finite_0,axiom,
% 0.53/1.26 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.26 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_image__subset__iff_0,axiom,
% 0.53/1.26 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.53/1.26 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.53/1.26 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_finite__surj_0,axiom,
% 0.53/1.26 ( c_Finite__Set_Ofinite(V_B,T_b)
% 0.53/1.26 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.53/1.26 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_fold1__def_0,axiom,
% 0.53/1.26 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_le__SUPI_0,axiom,
% 0.53/1.26 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.53/1.26 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.53/1.26 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.53/1.26
% 0.53/1.26 cnf(cls_UN__upper_0,axiom,
% 0.53/1.27 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_com_Osimps_I7_J_2,axiom,
% 0.53/1.27 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.53/1.27 | V_fun = V_fun_H ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_com_Osimps_I7_J_1,axiom,
% 0.53/1.27 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.53/1.27 | V_pname = V_pname_H ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_com_Osimps_I7_J_0,axiom,
% 0.53/1.27 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.53/1.27 | V_vname = V_vname_H ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_map__le__implies__dom__le_0,axiom,
% 0.53/1.27 ( c_lessequals(c_Map_Odom(V_f,T_a,T_b),c_Map_Odom(V_g,T_a,T_b),tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_below__fold1__iff_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.27 | c_lessequals(V_x,V_xa,T_a)
% 0.53/1.27 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.53/1.27 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Diff_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Inf__insert_0,axiom,
% 0.53/1.27 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.27 | 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimage__Diff_0,axiom,
% 0.53/1.27 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__vimage__subset_0,axiom,
% 0.53/1.27 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Collect__def_0,axiom,
% 0.53/1.27 c_Collect(V_P,T_a) = V_P ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Sup__insert_0,axiom,
% 0.53/1.27 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.27 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Diff2_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Diff2_1,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_map__add__le__mapE_0,axiom,
% 0.53/1.27 ( c_Map_Omap__le(V_g,V_h,T_a,T_b)
% 0.53/1.27 | ~ c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__UN_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_map__le__refl_0,axiom,
% 0.53/1.27 c_Map_Omap__le(V_f,V_f,T_a,T_b) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_map__le__trans_0,axiom,
% 0.53/1.27 ( c_Map_Omap__le(V_m1,V_m3,T_a,T_b)
% 0.53/1.27 | ~ c_Map_Omap__le(V_m2,V_m3,T_a,T_b)
% 0.53/1.27 | ~ c_Map_Omap__le(V_m1,V_m2,T_a,T_b) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_dom__map__add_0,axiom,
% 0.53/1.27 c_Map_Odom(c_Map_Omap__add(V_m,V_n,T_a,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(V_n,T_a,T_b),c_Map_Odom(V_m,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UN__subset__iff_0,axiom,
% 0.53/1.27 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 0.53/1.27 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UN__absorb_0,axiom,
% 0.53/1.27 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.53/1.27 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__Int__subset_0,axiom,
% 0.53/1.27 c_lessequals(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)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Un_2,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__UnI_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.53/1.27 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.27 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_lessequals(V_b,V_d,T_a)
% 0.53/1.27 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.53/1.27 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.27 | c_lessequals(V_b,V_d,T_a)
% 0.53/1.27 | ~ c_lessequals(V_a,V_b,T_a)
% 0.53/1.27 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.53/1.27 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.27 | c_lessequals(V_c,V_a,T_a)
% 0.53/1.27 | ~ c_lessequals(V_a,V_b,T_a)
% 0.53/1.27 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.53/1.27 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))
% 0.53/1.27 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.53/1.27 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))
% 0.53/1.27 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_option_Osimps_I3_J_0,axiom,
% 0.53/1.27 c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_not__None__eq_1,axiom,
% 0.53/1.27 c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_option_Oinject_0,axiom,
% 0.53/1.27 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
% 0.53/1.27 | V_a = V_a_H ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_map__add__assoc_0,axiom,
% 0.53/1.27 c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
% 0.53/1.27 ( 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))
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
% 0.53/1.27 ( 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))
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
% 0.53/1.27 ( hAPP(hAPP(V_times,V_a),V_b) = hAPP(hAPP(V_times,V_b),V_a)
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.53/1.27 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.27 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.27 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup1E_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(V_B,V_x))
% 0.53/1.27 | hBOOL(hAPP(V_A,V_x))
% 0.53/1.27 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup1CI_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.53/1.27 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup1CI_1,axiom,
% 0.53/1.27 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.53/1.27 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.27 | 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.27 | 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__left__commute_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.27 | 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__assoc_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.27 | 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Int__assoc_0,axiom,
% 0.53/1.27 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)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Int__left__commute_0,axiom,
% 0.53/1.27 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)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Un_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite__Un_1,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.53/1.27 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_set__rev__mp_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.53/1.27 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_subsetD_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.53/1.27 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_set__mp_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.27 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UnCI_1,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UnCI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UnE_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | hBOOL(c_in(V_c,V_A,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_DiffE_1,axiom,
% 0.53/1.27 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_DiffE_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_IntE_1,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | ~ 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_IntE_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.53/1.27 | ~ 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)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_CollectI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.53/1.27 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_CollectD_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(V_P,V_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Diff__iff_2,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.53/1.27 | hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_DiffI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.53/1.27 | hBOOL(c_in(V_c,V_B,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UN__iff_2,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_UN__I_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimage__eq_1,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimageI2_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 0.53/1.27 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimageI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 0.53/1.27 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimageE_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimageD_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.27 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.27 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_SUP1__iff_2,axiom,
% 0.53/1.27 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.53/1.27 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_SUP1__I_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.53/1.27 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_rev__image__eqI_0,axiom,
% 0.53/1.27 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.53/1.27 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__iff_2,axiom,
% 0.53/1.27 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.53/1.27 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__eqI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_imageI_0,axiom,
% 0.53/1.27 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.53/1.27 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Min__in_0,axiom,
% 0.53/1.27 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.27 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Max__in_0,axiom,
% 0.53/1.27 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.27 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_fold1Set_Ointros_0,axiom,
% 0.53/1.27 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x))
% 0.53/1.27 | hBOOL(c_in(V_a,V_A,T_a))
% 0.53/1.27 | ~ c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,axiom,
% 0.53/1.27 ( 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)
% 0.53/1.27 | hBOOL(c_in(V_b,V_A,T_a))
% 0.53/1.27 | ~ c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_y,T_a,T_a)
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofold1(V_times,c_Set_Oinsert(V_x,V_A,T_a),T_a) = hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))
% 0.53/1.27 | hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.27 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,axiom,
% 0.53/1.27 ( c_Finite__Set_Ofold__graph(V_times,V_a,c_Set_Oinsert(V_b,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),V_x,T_a,T_a)
% 0.53/1.27 | hBOOL(c_in(V_b,V_A,T_a))
% 0.53/1.27 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.53/1.27 | ~ c_Finite__Set_Ofold__graph(V_times,V_b,V_A,V_x,T_a,T_a)
% 0.53/1.27 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup__bot__left_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup__bot__right_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__bot__left_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | 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) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_inf__bot__right_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | 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) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_bot__least_0,axiom,
% 0.53/1.27 ( ~ class_Orderings_Obot(T_a)
% 0.53/1.27 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.53/1.27 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.53/1.27 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.53/1.27 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimage__empty_0,axiom,
% 0.53/1.27 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__empty_2,axiom,
% 0.53/1.27 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__is__empty_0,axiom,
% 0.53/1.27 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.53/1.27 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.53/1.27 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.53/1.27 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.53/1.27 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__Collect__eq_0,axiom,
% 0.53/1.27 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.53/1.27 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_subset__empty_1,axiom,
% 0.53/1.27 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_subset__empty_0,axiom,
% 0.53/1.27 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Collect__empty__eq_0,axiom,
% 0.53/1.27 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__fold1SetE_0,axiom,
% 0.53/1.27 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__Diff_0,axiom,
% 0.53/1.27 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__empty__right_0,axiom,
% 0.53/1.27 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__empty__left_0,axiom,
% 0.53/1.27 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Diff__cancel_0,axiom,
% 0.53/1.27 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Diff__empty_0,axiom,
% 0.53/1.27 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_finite_OemptyI_0,axiom,
% 0.53/1.27 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__fold__graphE_0,axiom,
% 0.53/1.27 ( V_x = V_z
% 0.53/1.27 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Int__empty__right_0,axiom,
% 0.53/1.27 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)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Int__empty__left_0,axiom,
% 0.53/1.27 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)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__subsetI_0,axiom,
% 0.53/1.27 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__is__image_0,axiom,
% 0.53/1.27 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_image__empty_0,axiom,
% 0.53/1.27 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)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_fold__graph_OemptyI_0,axiom,
% 0.53/1.27 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__empty_1,axiom,
% 0.53/1.27 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Un__empty_0,axiom,
% 0.53/1.27 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.27 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_empty__is__image_1,axiom,
% 0.53/1.27 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) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_vimage__insert_0,axiom,
% 0.53/1.27 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_Sup__binary_0,axiom,
% 0.53/1.27 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.27 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 0.53/1.27
% 0.53/1.27 cnf(cls_subset__insert__iff_4,axiom,
% 0.53/1.27 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.27 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.27
% 0.53/1.28 cnf(cls_Inf__binary_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | 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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__mono_0,axiom,
% 0.53/1.28 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_image__insert_0,axiom,
% 0.53/1.28 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.53/1.28 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.53/1.28 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__insert_1,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__insert_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insertI_0,axiom,
% 0.53/1.28 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__inter__insert_0,axiom,
% 0.53/1.28 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) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__insert__right_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__insert__left_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insertI2_0,axiom,
% 0.53/1.28 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__subset_1,axiom,
% 0.53/1.28 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__add__comm_0,axiom,
% 0.53/1.28 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Map_Odom(V_m1,T_a,T_b)),c_Map_Odom(V_m2,T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | c_Map_Omap__add(V_m1,V_m2,T_a,T_b) = c_Map_Omap__add(V_m2,V_m1,T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_dom__minus_0,axiom,
% 0.53/1.28 ( hAPP(V_f,V_x) != c_Option_Ooption_ONone(T_a)
% 0.53/1.28 | c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),c_Set_Oinsert(V_x,V_A,T_b),tc_fun(T_b,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_com_Osimps_I63_J_0,axiom,
% 0.53/1.28 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OBODY(V_pname) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_com_Osimps_I62_J_0,axiom,
% 0.53/1.28 c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_hoare__sound_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff1__fold__graph_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_diff__single__insert_0,axiom,
% 0.53/1.28 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert__iff_3,axiom,
% 0.53/1.28 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert__iff_0,axiom,
% 0.53/1.28 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.53/1.28 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | 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)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.53/1.28 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.53/1.28 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.53/1.28 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__subset_2,axiom,
% 0.53/1.28 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__insert__right_0,axiom,
% 0.53/1.28 ( 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)
% 0.53/1.28 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__insert__left_0,axiom,
% 0.53/1.28 ( 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)
% 0.53/1.28 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__Diff1_0,axiom,
% 0.53/1.28 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__le__iff__map__add__commute_0,axiom,
% 0.53/1.28 ( c_Map_Omap__add(V_f,V_g,T_a,T_b) = c_Map_Omap__add(V_g,V_f,T_a,T_b)
% 0.53/1.28 | ~ c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__le__iff__map__add__commute_1,axiom,
% 0.53/1.28 ( c_Map_Omap__add(V_f,V_g,T_a,T_b) != c_Map_Omap__add(V_g,V_f,T_a,T_b)
% 0.53/1.28 | c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.53/1.28 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(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),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.53/1.28 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(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),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__mono_0,axiom,
% 0.53/1.28 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_distrib__sup__le_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)),T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__Int2_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(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),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_sup__inf__absorb_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),T_a) = V_x ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_equalityI_0,axiom,
% 0.53/1.28 ( V_A = V_B
% 0.53/1.28 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_set__eq__subset_2,axiom,
% 0.53/1.28 ( V_A = V_B
% 0.53/1.28 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__le__antisym_0,axiom,
% 0.53/1.28 ( V_f = V_g
% 0.53/1.28 | ~ c_Map_Omap__le(V_g,V_f,T_a,T_b)
% 0.53/1.28 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__eq__iff_2,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | V_x = V_y
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__antisym_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | V_x = V_y
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__antisym__conv_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | V_x = V_y
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a)
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__sup__absorb_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)) = V_x ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__Diff__Int_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) = V_A ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_sup__absorb1_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__iff__sup_1,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.53/1.28 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__iff__sup_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__absorb1_0,axiom,
% 0.53/1.28 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__absorb2_0,axiom,
% 0.53/1.28 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.53/1.28 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__Un__eq_1,axiom,
% 0.53/1.28 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.53/1.28 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__imageI_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Min__antimono_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.53/1.28 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UN__insert_0,axiom,
% 0.53/1.28 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_triple_Oinject_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.53/1.28 | V_fun1 = V_fun1_H ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_triple_Oinject_1,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.53/1.28 | V_com = V_com_H ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_triple_Oinject_2,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.53/1.28 | V_fun2 = V_fun2_H ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_fold1__belowI_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)
% 0.53/1.28 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Inf__lower_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.53/1.28 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.53/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__add__SomeD_0,axiom,
% 0.53/1.28 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_OSome(V_x,T_a)
% 0.53/1.28 | hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a)
% 0.53/1.28 | hAPP(V_n,V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__mono_0,axiom,
% 0.53/1.28 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__greatest_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__inf__iff_2,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__infI_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_b,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__le2_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__le1_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__lower1_0,axiom,
% 0.53/1.28 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__lower2_0,axiom,
% 0.53/1.28 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__greatest_0,axiom,
% 0.53/1.28 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__subset__iff_2,axiom,
% 0.53/1.28 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),V_x,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.53/1.28 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__Int__distrib_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.53/1.28 c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),V_A,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_a)
% 0.53/1.28 | 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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__left__idem_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | 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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__left__absorb_0,axiom,
% 0.53/1.28 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) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__Diff__insert_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__Diff__insert_1,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__idem_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.53/1.28 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__absorb_0,axiom,
% 0.53/1.28 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__sup__iff_1,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_y,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__sup__iff_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__supI2_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__supI1_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__supE_1,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_b,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__supE_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.53/1.28 | c_lessequals(V_a,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__subset__iff_0,axiom,
% 0.53/1.28 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Un__subset__iff_1,axiom,
% 0.53/1.28 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf__fun__eq_0,axiom,
% 0.53/1.28 ( ~ class_Lattices_Olattice(T_b)
% 0.53/1.28 | 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)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_xt1_I6_J_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_lessequals(V_z,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(V_z,V_y,T_a)
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__trans_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Opreorder(T_a)
% 0.53/1.28 | c_lessequals(V_x,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(V_y,V_z,T_a)
% 0.53/1.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_equalityE_0,axiom,
% 0.53/1.28 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__refl_0,axiom,
% 0.53/1.28 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__trans_0,axiom,
% 0.53/1.28 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_predicate1D_0,axiom,
% 0.53/1.28 ( hBOOL(hAPP(V_Q,V_x))
% 0.53/1.28 | ~ hBOOL(hAPP(V_P,V_x))
% 0.53/1.28 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__eq__iff_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_order__eq__refl_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Opreorder(T_a)
% 0.53/1.28 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__subset_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_rev__predicate1D_0,axiom,
% 0.53/1.28 ( hBOOL(hAPP(V_Q,V_x))
% 0.53/1.28 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_rev__finite__subset_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__mono_0,axiom,
% 0.53/1.28 ( c_lessequals(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),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__Un_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__Diff_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__Collect_2,axiom,
% 0.53/1.28 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))
% 0.53/1.28 | ~ hBOOL(hAPP(V_P,V_x))
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__Int_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UN__Un_0,axiom,
% 0.53/1.28 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_vimage__code_0,axiom,
% 0.53/1.28 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.53/1.28 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_vimage__code_1,axiom,
% 0.53/1.28 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.53/1.28 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_the__sym__eq__trivial_0,axiom,
% 0.53/1.28 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Min__le_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_inf1I_0,axiom,
% 0.53/1.28 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 0.53/1.28 | ~ hBOOL(hAPP(V_B,V_x))
% 0.53/1.28 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_double__diff_0,axiom,
% 0.53/1.28 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.53/1.28 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__eqI_0,axiom,
% 0.53/1.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.53/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.53/1.28 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.53/1.28 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_le__eqI_1,axiom,
% 0.53/1.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.53/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.53/1.28 | c_lessequals(V_y,V_x,T_a)
% 0.53/1.28 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_image__mono_0,axiom,
% 0.53/1.28 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__image__iff_2,axiom,
% 0.53/1.28 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.53/1.28 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_the_Osimps_0,axiom,
% 0.53/1.28 c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Max__ge_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_image__Un_0,axiom,
% 0.53/1.28 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Sup__upper_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_linorder__linear_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_lessequals(V_y,V_x,T_a)
% 0.53/1.28 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__subset_0,axiom,
% 0.53/1.28 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.53/1.28 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__image_0,axiom,
% 0.53/1.28 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert__iff_2,axiom,
% 0.53/1.28 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert__iff_1,axiom,
% 0.53/1.28 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a))
% 0.53/1.28 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert_1,axiom,
% 0.53/1.28 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__insert_0,axiom,
% 0.53/1.28 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__insert__right_1,axiom,
% 0.53/1.28 ( 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)
% 0.53/1.28 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Int__insert__left_1,axiom,
% 0.53/1.28 ( 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)
% 0.53/1.28 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_fold__graph_OinsertI_0,axiom,
% 0.53/1.28 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.53/1.28 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__Diff__if_1,axiom,
% 0.53/1.28 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.28 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Sup__empty_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_singleton__conv2_0,axiom,
% 0.53/1.28 c_Collect(c_fequal(V_a,T_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_subset__singletonD_0,axiom,
% 0.53/1.28 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.53/1.28 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.53/1.28 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.53/1.28 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.53/1.28 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Sup__singleton_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 0.53/1.28 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))) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.53/1.28 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_fold1Set__sing_1,axiom,
% 0.53/1.28 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Min__singleton_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 0.53/1.28 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.53/1.28 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.53/1.28 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.53/1.28 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__insert2_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__insert_0,axiom,
% 0.53/1.28 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_fold1Set__sing_0,axiom,
% 0.53/1.28 ( V_a = V_b
% 0.53/1.28 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_contents__eq_0,axiom,
% 0.53/1.28 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 0.53/1.28 ( 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)
% 0.53/1.28 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_fold1__singleton_0,axiom,
% 0.53/1.28 c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Max__singleton_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Olinorder(T_a)
% 0.53/1.28 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__Diff__single_0,axiom,
% 0.53/1.28 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.53/1.28 ( ~ class_Orderings_Oorder(T_a)
% 0.53/1.28 | 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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__is__Un_0,axiom,
% 0.53/1.28 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Inf__singleton_0,axiom,
% 0.53/1.28 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.53/1.28 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__add__dom__app__simps_I3_J_0,axiom,
% 0.53/1.28 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l1,V_m)
% 0.53/1.28 | hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__add__dom__app__simps_I2_J_0,axiom,
% 0.53/1.28 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
% 0.53/1.28 | hBOOL(c_in(V_m,c_Map_Odom(V_l1,T_a,T_b),T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_domIff_1,axiom,
% 0.53/1.28 ( hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))
% 0.53/1.28 | hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_domIff_0,axiom,
% 0.53/1.28 ( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)
% 0.53/1.28 | ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_domI_0,axiom,
% 0.53/1.28 ( hAPP(V_m,V_a) != c_Option_Ooption_OSome(V_b,T_a)
% 0.53/1.28 | hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__le__def_0,axiom,
% 0.53/1.28 ( hAPP(V_m_092_060_094isub_0621,V_x) = hAPP(V_m_092_060_094isub_0622,V_x)
% 0.53/1.28 | ~ hBOOL(c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a))
% 0.53/1.28 | ~ c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_map__add__dom__app__simps_I1_J_0,axiom,
% 0.53/1.28 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
% 0.53/1.28 | ~ hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__dom_0,axiom,
% 0.53/1.28 ( hAPP(V_f,V_x) != c_Option_Ooption_OSome(V_y,T_a)
% 0.53/1.28 | c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b) = c_Map_Odom(V_f,T_b,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_WT_OCall_0,axiom,
% 0.53/1.28 ( c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))
% 0.53/1.28 | ~ c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_WTs__elim__cases_I8_J_0,axiom,
% 0.53/1.28 ( c_Com_OWT(c_Com_Ocom_OBODY(V_P))
% 0.53/1.28 | ~ c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_MGF__complete_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_BodyN_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,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)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(hAPP(c_Com_Obody,V_pn),tc_Com_Ocom),V_Q,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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_weak__Body_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,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)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(hAPP(c_Com_Obody,V_pn),tc_Com_Ocom),V_Q,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) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_finite__dom__body_0,axiom,
% 0.53/1.28 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_insert__Diff_0,axiom,
% 0.53/1.28 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.53/1.28 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.53/1.28 ( hAPP(V_f,V_a) = V_b
% 0.53/1.28 | ~ 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)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.53/1.28 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)) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
% 0.53/1.28 ( c_Set_Oinsert(V_x,V_xa,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.53/1.28 | hBOOL(c_in(V_x,V_xa,T_b))
% 0.53/1.28 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.53/1.28 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.53/1.28 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_WT_OBody_0,axiom,
% 0.53/1.28 ( c_Com_OWT(c_Com_Ocom_OBODY(V_pn))
% 0.53/1.28 | hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_WT__bodiesD_0,axiom,
% 0.53/1.28 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom)
% 0.53/1.28 | ~ c_Com_OWT__bodies
% 0.53/1.28 | c_Com_OWT(V_b) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_MGT__BodyN_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Option_Othe(hAPP(c_Com_Obody,V_pn),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_MGF__lemma1_1,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Com_OWT(V_c)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.53/1.28
% 0.53/1.28 cnf(cls_MGF__lemma1_0,axiom,
% 0.53/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.53/1.28 | ~ c_Com_OWT(V_c)
% 0.53/1.28 | hBOOL(c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.64/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/1.28 | ~ 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) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_derivs__insertD_1,axiom,
% 0.64/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_singleton__iff_1,axiom,
% 0.64/1.28 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)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__iff_2,axiom,
% 0.64/1.28 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.64/1.28 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insertCI_0,axiom,
% 0.64/1.28 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.64/1.28 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__code_1,axiom,
% 0.64/1.28 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_cut_0,axiom,
% 0.64/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_ex__in__conv_0,axiom,
% 0.64/1.28 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_ball__empty_0,axiom,
% 0.64/1.28 ( hBOOL(hAPP(V_P,V_x))
% 0.64/1.28 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_empty__iff_0,axiom,
% 0.64/1.28 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_emptyE_0,axiom,
% 0.64/1.28 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_empty__not__insert_0,axiom,
% 0.64/1.28 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_MGF_0,axiom,
% 0.64/1.28 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.64/1.28 | ~ c_Com_OWT(V_c)
% 0.64/1.28 | ~ c_Com_OWT__bodies
% 0.64/1.28 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_bot__empty__eq_0,axiom,
% 0.64/1.28 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) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/1.28 | V_b = V_c
% 0.64/1.28 | V_b = V_d ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/1.28 | V_a = V_d
% 0.64/1.28 | V_b = V_d ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/1.28 | V_b = V_c
% 0.64/1.28 | V_a = V_c ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/1.28 | V_a = V_d
% 0.64/1.28 | V_a = V_c ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insertE_0,axiom,
% 0.64/1.28 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.64/1.28 | V_a = V_b
% 0.64/1.28 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_bot1E_0,axiom,
% 0.64/1.28 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_empty_0,axiom,
% 0.64/1.28 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_state__not__singleton__def_1,axiom,
% 0.64/1.28 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 0.64/1.28 | V_x = V_xa ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__code_0,axiom,
% 0.64/1.28 ( hBOOL(hAPP(V_A,V_x))
% 0.64/1.28 | V_y = V_x
% 0.64/1.28 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__absorb2_0,axiom,
% 0.64/1.28 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__not__empty_0,axiom,
% 0.64/1.28 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_bot__fun__eq_0,axiom,
% 0.64/1.28 ( ~ class_Orderings_Obot(T_b)
% 0.64/1.28 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_singletonE_0,axiom,
% 0.64/1.28 ( V_b = V_a
% 0.64/1.28 | ~ 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)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__iff_1,axiom,
% 0.64/1.28 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insertI1_0,axiom,
% 0.64/1.28 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insertCI_1,axiom,
% 0.64/1.28 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_insert__commute_0,axiom,
% 0.64/1.28 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_mem__def_1,axiom,
% 0.64/1.28 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.64/1.28 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_mem__def_0,axiom,
% 0.64/1.28 ( hBOOL(hAPP(V_S,V_x))
% 0.64/1.28 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.64/1.28 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_singleton__inject_0,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.64/1.28 | V_a = V_b ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_bex__empty_0,axiom,
% 0.64/1.28 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.64/1.28 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.64/1.28 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/1.28 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.64/1.28
% 0.64/1.28 cnf(cls_derivs__insertD_0,axiom,
% 0.64/1.29 ( 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)
% 0.64/1.29 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_insert__code_2,axiom,
% 0.64/1.29 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.64/1.29 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_insert__ident_0,axiom,
% 0.64/1.29 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.64/1.29 | hBOOL(c_in(V_x,V_B,T_a))
% 0.64/1.29 | hBOOL(c_in(V_x,V_A,T_a))
% 0.64/1.29 | V_A = V_B ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_com_Osimps_I6_J_0,axiom,
% 0.64/1.29 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)
% 0.64/1.29 | V_pname = V_pname_H ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_insert__absorb_0,axiom,
% 0.64/1.29 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.64/1.29 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_conjecture_0,negated_conjecture,
% 0.64/1.29 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_conjecture_1,negated_conjecture,
% 0.64/1.29 c_Com_OWT__bodies ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_conjecture_2,negated_conjecture,
% 0.64/1.29 c_Com_OWT(v_c) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_conjecture_3,negated_conjecture,
% 0.64/1.29 hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_conjecture_4,negated_conjecture,
% 0.64/1.29 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.64/1.29 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.64/1.29 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.64/1.29 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.64/1.29 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.64/1.29 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/1.29 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.64/1.29 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.64/1.29 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.64/1.29 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.64/1.29 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.64/1.29 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_Orderings_Obot(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.64/1.29 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_HOL_Ominus(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.64/1.29 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.64/1.29 | ~ class_HOL_Oord(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.64/1.29 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.64/1.29 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.64/1.29 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.64/1.29 class_Orderings_Opreorder(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.64/1.29 class_Orderings_Olinorder(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.64/1.29 class_Lattices_Olattice(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.64/1.29 class_Orderings_Oorder(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.64/1.29 class_Orderings_Obot(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__HOL_Ominus,axiom,
% 0.64/1.29 class_HOL_Ominus(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.64/1.29 class_HOL_Oord(tc_nat) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.64/1.29 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.64/1.29 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.64/1.29 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.64/1.29 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.64/1.29 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/1.29 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.64/1.29 class_Orderings_Opreorder(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.64/1.29 class_Lattices_Olattice(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.64/1.29 class_Orderings_Oorder(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.64/1.29 class_Orderings_Obot(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.64/1.29 class_HOL_Ominus(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.64/1.29 class_HOL_Oord(tc_bool) ).
% 0.64/1.29
% 0.64/1.29 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/1.29 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))
% 0.64/1.29 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.64/1.29 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 0.64/1.29
% 0.64/1.29 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.64/1.29 ( V_X = V_Y
% 0.64/1.29 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 0.64/1.29
% 0.64/1.29 %------------------------------------------------------------------------------
% 0.64/1.29 %-------------------------------------------
% 0.64/1.29 % Proof found
% 0.64/1.29 % SZS status Theorem for theBenchmark
% 0.64/1.29 % SZS output start Proof
% 0.64/1.29 %ClaNum:611(EqnAxiom:128)
% 0.64/1.29 %VarNum:3571(SingletonVarNum:1493)
% 0.64/1.29 %MaxLitNum:7
% 0.64/1.29 %MaxfuncDepth:6
% 0.64/1.29 %SharedTerms:54
% 0.64/1.29 %goalClause: 129 130 153 185 263
% 0.64/1.29 %singleGoalClaCount:5
% 0.64/1.29 [129]P1(a500)
% 0.64/1.29 [130]P3(a500)
% 0.64/1.29 [131]P9(a1)
% 0.64/1.29 [132]P9(a37)
% 0.64/1.29 [133]P15(a1)
% 0.64/1.29 [134]P15(a37)
% 0.64/1.29 [135]P20(a1)
% 0.64/1.29 [136]P20(a37)
% 0.64/1.29 [137]P16(a1)
% 0.64/1.29 [138]P16(a37)
% 0.64/1.29 [139]P10(a1)
% 0.64/1.29 [140]P17(a1)
% 0.64/1.29 [141]P17(a37)
% 0.64/1.29 [142]P21(a37)
% 0.64/1.29 [143]P18(a1)
% 0.64/1.29 [144]P18(a37)
% 0.64/1.29 [145]P11(a1)
% 0.64/1.29 [146]P25(a1)
% 0.64/1.29 [147]P25(a37)
% 0.64/1.29 [148]P19(a1)
% 0.64/1.29 [149]P22(a1)
% 0.64/1.29 [150]P22(a37)
% 0.64/1.29 [151]P26(a1)
% 0.64/1.29 [152]P26(a37)
% 0.64/1.29 [153]P2(a39)
% 0.64/1.29 [160]P4(f17(a5,a23,a24),a23)
% 0.64/1.29 [185]P27(f26(a40,f17(a5,a23,a24),a23))
% 0.64/1.29 [168]E(f26(a40,f22(f38(a33,a1)),a33),f25(f22(f38(a33,a1)),a40))
% 0.64/1.29 [263]~P6(f22(f38(f34(a35),a1)),f27(f15(f8(a40)),f22(f38(f34(a35),a1)),f34(a35)),a35)
% 0.64/1.29 [155]P4(f22(f38(x1551,a1)),x1551)
% 0.64/1.29 [157]P12(x1571,x1571,f38(x1572,a1))
% 0.64/1.29 [254]~E(f2(x2541,x2542),f20(x2542))
% 0.64/1.29 [154]E(f21(f2(x1541,x1542),x1542),x1541)
% 0.64/1.29 [158]E(f3(x1581,x1581,f38(x1582,a1)),x1581)
% 0.64/1.29 [159]E(f4(x1591,x1591,f38(x1592,a1)),f22(f38(x1592,a1)))
% 0.64/1.29 [161]P12(f22(f38(x1611,a1)),x1612,f38(x1611,a1))
% 0.64/1.29 [162]E(f4(x1621,f22(f38(x1622,a1)),f38(x1622,a1)),x1621)
% 0.64/1.29 [163]E(f3(x1631,f22(f38(x1632,a1)),f38(x1632,a1)),x1631)
% 0.64/1.29 [164]E(f3(f22(f38(x1641,a1)),x1642,f38(x1641,a1)),x1642)
% 0.64/1.29 [169]E(f4(f22(f38(x1691,a1)),x1692,f38(x1691,a1)),f22(f38(x1691,a1)))
% 0.64/1.29 [165]P6(x1651,f22(f38(f34(x1652),a1)),x1652)
% 0.64/1.29 [174]E(f25(f25(f14(f38(x1741,a1)),x1742),f22(f38(x1741,a1))),f22(f38(x1741,a1)))
% 0.64/1.29 [259]~P27(f25(f22(f38(x2591,a1)),x2592))
% 0.64/1.29 [262]~P27(f26(x2621,f22(f38(x2622,a1)),x2622))
% 0.64/1.29 [166]E(f25(f25(f14(f38(x1661,a1)),x1662),x1662),x1662)
% 0.64/1.29 [176]E(f31(f27(x1761,f22(f38(x1762,a1)),x1762),x1762),x1761)
% 0.64/1.29 [177]E(f28(f27(x1771,f22(f38(x1772,a1)),x1772),x1772),x1771)
% 0.64/1.29 [183]E(f25(f25(f14(f38(x1831,a1)),f22(f38(x1831,a1))),x1832),f22(f38(x1831,a1)))
% 0.64/1.29 [237]P27(f25(f27(x2371,f22(f38(x2372,a1)),x2372),f19(f27(x2371,f22(f38(x2372,a1)),x2372),x2372)))
% 0.64/1.29 [182]P13(x1821,x1821,x1822,x1823)
% 0.64/1.29 [171]P12(x1711,f27(x1712,x1711,x1713),f38(x1713,a1))
% 0.64/1.29 [167]E(f3(x1671,x1672,f38(x1673,a1)),f3(x1672,x1671,f38(x1673,a1)))
% 0.64/1.29 [173]E(f27(x1731,f27(x1731,x1732,x1733),x1733),f27(x1731,x1732,x1733))
% 0.64/1.29 [178]P12(x1781,f3(x1782,x1781,f38(x1783,a1)),f38(x1783,a1))
% 0.64/1.29 [179]P12(x1791,f3(x1791,x1792,f38(x1793,a1)),f38(x1793,a1))
% 0.64/1.29 [180]P12(f4(x1801,x1802,f38(x1803,a1)),x1801,f38(x1803,a1))
% 0.64/1.29 [181]P27(f25(f27(x1811,x1812,x1813),x1811))
% 0.64/1.29 [186]E(f3(x1861,f4(x1862,x1861,f38(x1863,a1)),f38(x1863,a1)),f3(x1861,x1862,f38(x1863,a1)))
% 0.64/1.29 [187]E(f3(x1871,f3(x1871,x1872,f38(x1873,a1)),f38(x1873,a1)),f3(x1871,x1872,f38(x1873,a1)))
% 0.64/1.29 [188]E(f4(f4(x1881,x1882,f38(x1883,a1)),x1882,f38(x1883,a1)),f4(x1881,x1882,f38(x1883,a1)))
% 0.64/1.29 [189]E(f3(f4(x1891,x1892,f38(x1893,a1)),x1892,f38(x1893,a1)),f3(x1891,x1892,f38(x1893,a1)))
% 0.64/1.29 [194]P27(f26(x1941,f27(x1941,x1942,x1943),x1943))
% 0.64/1.29 [198]E(f3(f27(x1981,f22(f38(x1982,a1)),x1982),x1983,f38(x1982,a1)),f27(x1981,x1983,x1982))
% 0.64/1.29 [206]E(f3(f4(x2061,x2062,f38(x2063,a1)),f25(f25(f14(f38(x2063,a1)),x2061),x2062),f38(x2063,a1)),x2061)
% 0.64/1.29 [257]~E(f27(x2571,x2572,x2573),f22(f38(x2573,a1)))
% 0.64/1.29 [258]~E(f22(f38(x2581,a1)),f27(x2582,x2583,x2581))
% 0.64/1.29 [191]E(f25(f25(f14(f38(x1911,a1)),x1912),f4(x1913,x1912,f38(x1911,a1))),f22(f38(x1911,a1)))
% 0.64/1.29 [196]E(f32(x1961,f22(f38(x1962,a1)),x1963,x1962),f22(f38(x1963,a1)))
% 0.64/1.29 [197]E(f30(x1971,f22(f38(x1972,a1)),x1972,x1973),f22(f38(x1973,a1)))
% 0.64/1.29 [214]E(f27(x2141,f4(x2142,f27(x2141,f22(f38(x2143,a1)),x2143),f38(x2143,a1)),x2143),f27(x2141,x2142,x2143))
% 0.64/1.29 [184]E(f25(f25(f14(f38(x1841,a1)),x1842),x1843),f25(f25(f14(f38(x1841,a1)),x1843),x1842))
% 0.64/1.29 [199]P12(f25(f25(f14(f38(x1991,a1)),x1992),x1993),x1993,f38(x1991,a1))
% 0.64/1.29 [200]P12(f25(f25(f14(f38(x2001,a1)),x2002),x2003),x2002,f38(x2001,a1))
% 0.64/1.29 [264]~P27(f25(f6(x2641,f22(f38(x2642,a1)),x2642),x2643))
% 0.64/1.29 [209]E(f31(f6(x2091,f27(x2092,f22(f38(x2093,a1)),x2093),x2093),x2093),x2092)
% 0.64/1.29 [210]E(f25(f25(f14(f38(x2101,a1)),x2102),f25(f25(f14(f38(x2101,a1)),x2102),x2103)),f25(f25(f14(f38(x2101,a1)),x2102),x2103))
% 0.64/1.29 [233]P27(f25(f6(x2331,f27(x2332,f22(f38(x2333,a1)),x2333),x2333),x2332))
% 0.64/1.29 [218]P13(x2181,f18(x2182,x2181,x2183,x2184),x2183,x2184)
% 0.64/1.29 [255]~E(f8(x2551),f9(x2552,x2553,x2554))
% 0.64/1.29 [256]~E(f9(x2561,x2562,x2563),f8(x2564))
% 0.64/1.29 [190]E(f27(x1901,f27(x1902,x1903,x1904),x1904),f27(x1902,f27(x1901,x1903,x1904),x1904))
% 0.64/1.29 [204]E(f3(x2041,f3(x2042,x2043,f38(x2044,a1)),f38(x2044,a1)),f3(x2042,f3(x2041,x2043,f38(x2044,a1)),f38(x2044,a1)))
% 0.64/1.29 [205]E(f3(f3(x2051,x2052,f38(x2053,a1)),x2054,f38(x2053,a1)),f3(x2051,f3(x2052,x2054,f38(x2053,a1)),f38(x2053,a1)))
% 0.64/1.29 [211]E(f3(f4(x2111,x2112,f38(x2113,a1)),f4(x2114,x2112,f38(x2113,a1)),f38(x2113,a1)),f4(f3(x2111,x2114,f38(x2113,a1)),x2112,f38(x2113,a1)))
% 0.64/1.29 [212]E(f4(f4(x2121,x2122,f38(x2123,a1)),f27(x2124,f22(f38(x2123,a1)),x2123),f38(x2123,a1)),f4(x2121,f27(x2124,x2122,x2123),f38(x2123,a1)))
% 0.64/1.29 [215]E(f4(x2151,f7(f22(f38(x2152,a1)),x2153,x2152,f38(x2154,a1)),f38(x2154,a1)),x2151)
% 0.64/1.29 [216]E(f3(x2161,f7(f22(f38(x2162,a1)),x2163,x2162,f38(x2164,a1)),f38(x2164,a1)),x2161)
% 0.64/1.29 [217]E(f3(f7(f22(f38(x2171,a1)),x2172,x2171,f38(x2173,a1)),x2174,f38(x2173,a1)),x2174)
% 0.64/1.29 [219]E(f3(f4(x2191,x2192,f38(x2193,a1)),f4(x2191,x2194,f38(x2193,a1)),f38(x2193,a1)),f4(x2191,f25(f25(f14(f38(x2193,a1)),x2192),x2194),f38(x2193,a1)))
% 0.64/1.29 [223]E(f4(f4(x2231,f27(x2232,f22(f38(x2233,a1)),x2233),f38(x2233,a1)),x2234,f38(x2233,a1)),f4(x2231,f27(x2232,x2234,x2233),f38(x2233,a1)))
% 0.64/1.29 [224]E(f3(f17(x2241,x2242,x2243),f17(x2244,x2242,x2243),f38(x2242,a1)),f17(f18(x2244,x2241,x2242,x2243),x2242,x2243))
% 0.64/1.29 [231]E(f4(f25(f25(f14(f38(x2311,a1)),x2312),x2313),f25(f25(f14(f38(x2311,a1)),x2314),x2313),f38(x2311,a1)),f4(f25(f25(f14(f38(x2311,a1)),x2312),x2313),x2314,f38(x2311,a1)))
% 0.64/1.29 [242]P12(f30(x2421,f32(x2421,x2422,x2423,x2424),x2423,x2424),x2422,f38(x2424,a1))
% 0.64/1.29 [250]P7(x2501,x2502,f22(f38(x2503,a1)),x2502,x2503,x2504)
% 0.64/1.29 [201]E(f27(x2011,f3(x2012,x2013,f38(x2014,a1)),x2014),f3(x2012,f27(x2011,x2013,x2014),f38(x2014,a1)))
% 0.64/1.29 [202]E(f27(x2021,f3(x2022,x2023,f38(x2024,a1)),x2024),f3(f27(x2021,x2022,x2024),x2023,f38(x2024,a1)))
% 0.64/1.29 [213]E(f4(f25(f25(f14(f38(x2131,a1)),x2132),x2133),x2134,f38(x2131,a1)),f25(f25(f14(f38(x2131,a1)),x2132),f4(x2133,x2134,f38(x2131,a1))))
% 0.64/1.29 [220]E(f27(x2201,f7(f22(f38(x2202,a1)),x2203,x2202,f38(x2204,a1)),x2204),f27(x2201,f22(f38(x2204,a1)),x2204))
% 0.64/1.29 [222]E(f25(f25(f14(f38(x2221,a1)),f4(x2222,x2223,f38(x2221,a1))),f4(x2222,x2224,f38(x2221,a1))),f4(x2222,f3(x2223,x2224,f38(x2221,a1)),f38(x2221,a1)))
% 0.64/1.29 [227]E(f4(f25(f25(f14(f38(x2271,a1)),x2272),x2273),f25(f25(f14(f38(x2271,a1)),x2272),x2274),f38(x2271,a1)),f25(f25(f14(f38(x2271,a1)),x2272),f4(x2273,x2274,f38(x2271,a1))))
% 0.64/1.29 [228]E(f3(f25(f25(f14(f38(x2281,a1)),x2282),x2283),f25(f25(f14(f38(x2281,a1)),x2282),x2284),f38(x2281,a1)),f25(f25(f14(f38(x2281,a1)),x2282),f3(x2283,x2284,f38(x2281,a1))))
% 0.64/1.29 [229]E(f25(f25(f14(f38(x2291,a1)),f3(x2292,x2293,f38(x2291,a1))),f3(x2292,x2294,f38(x2291,a1))),f3(x2292,f25(f25(f14(f38(x2291,a1)),x2293),x2294),f38(x2291,a1)))
% 0.64/1.29 [230]E(f25(f25(f14(f38(x2301,a1)),f3(x2302,x2303,f38(x2301,a1))),f3(x2304,x2303,f38(x2301,a1))),f3(f25(f25(f14(f38(x2301,a1)),x2302),x2304),x2303,f38(x2301,a1)))
% 0.64/1.29 [248]E(f3(f3(f25(f25(f14(f38(x2481,a1)),x2482),x2483),f25(f25(f14(f38(x2481,a1)),x2483),x2484),f38(x2481,a1)),f25(f25(f14(f38(x2481,a1)),x2484),x2482),f38(x2481,a1)),f25(f25(f14(f38(x2481,a1)),f25(f25(f14(f38(x2481,a1)),f3(x2482,x2483,f38(x2481,a1))),f3(x2483,x2484,f38(x2481,a1)))),f3(x2484,x2482,f38(x2481,a1))))
% 0.64/1.29 [234]E(f4(f25(f25(f14(f38(x2341,a1)),x2342),x2343),f25(f25(f14(f38(x2341,a1)),x2344),x2343),f38(x2341,a1)),f25(f25(f14(f38(x2341,a1)),f4(x2342,x2344,f38(x2341,a1))),x2343))
% 0.64/1.29 [235]E(f3(f25(f25(f14(f38(x2351,a1)),x2352),x2353),f25(f25(f14(f38(x2351,a1)),x2354),x2353),f38(x2351,a1)),f25(f25(f14(f38(x2351,a1)),f3(x2352,x2354,f38(x2351,a1))),x2353))
% 0.64/1.29 [221]E(f25(f25(f14(f38(x2211,a1)),f27(x2212,x2213,x2211)),f27(x2212,x2214,x2211)),f27(x2212,f25(f25(f14(f38(x2211,a1)),x2213),x2214),x2211))
% 0.64/1.29 [225]E(f25(f25(f14(f38(x2251,a1)),x2252),f25(f25(f14(f38(x2251,a1)),x2253),x2254)),f25(f25(f14(f38(x2251,a1)),x2253),f25(f25(f14(f38(x2251,a1)),x2252),x2254)))
% 0.64/1.29 [245]P27(f26(x2451,f32(x2452,f27(f25(x2452,x2451),f22(f38(x2453,a1)),x2453),x2454,x2453),x2454))
% 0.64/1.29 [236]E(f25(f25(f14(f38(x2361,a1)),f25(f25(f14(f38(x2361,a1)),x2362),x2363)),x2364),f25(f25(f14(f38(x2361,a1)),x2362),f25(f25(f14(f38(x2361,a1)),x2363),x2364)))
% 0.64/1.29 [226]E(f30(x2261,f27(x2262,x2263,x2264),x2264,x2265),f27(f25(x2261,x2262),f30(x2261,x2263,x2264,x2265),x2265))
% 0.64/1.29 [232]E(f7(f27(x2321,x2322,x2323),x2324,x2323,f38(x2325,a1)),f3(f25(x2324,x2321),f7(x2322,x2324,x2323,f38(x2325,a1)),f38(x2325,a1)))
% 0.64/1.29 [241]E(f18(f18(x2411,x2412,x2413,x2414),x2415,x2413,x2414),f18(x2411,f18(x2412,x2415,x2413,x2414),x2413,x2414))
% 0.64/1.29 [243]E(f3(f7(x2431,x2432,x2433,f38(x2434,a1)),f7(x2435,x2432,x2433,f38(x2434,a1)),f38(x2434,a1)),f7(f3(x2431,x2435,f38(x2433,a1)),x2432,x2433,f38(x2434,a1)))
% 0.64/1.29 [244]E(f3(f32(x2441,f27(x2442,f22(f38(x2443,a1)),x2443),x2444,x2443),f32(x2441,x2445,x2444,x2443),f38(x2444,a1)),f32(x2441,f27(x2442,x2445,x2443),x2444,x2443))
% 0.64/1.29 [238]E(f4(f32(x2381,x2382,x2383,x2384),f32(x2381,x2385,x2383,x2384),f38(x2383,a1)),f32(x2381,f4(x2382,x2385,f38(x2384,a1)),x2383,x2384))
% 0.64/1.29 [239]E(f3(f32(x2391,x2392,x2393,x2394),f32(x2391,x2395,x2393,x2394),f38(x2393,a1)),f32(x2391,f3(x2392,x2395,f38(x2394,a1)),x2393,x2394))
% 0.64/1.29 [240]E(f3(f30(x2401,x2402,x2403,x2404),f30(x2401,x2405,x2403,x2404),f38(x2404,a1)),f30(x2401,f3(x2402,x2405,f38(x2403,a1)),x2403,x2404))
% 0.64/1.29 [247]P12(f4(f30(x2471,x2472,x2473,x2474),f30(x2471,x2475,x2473,x2474),f38(x2474,a1)),f30(x2471,f4(x2472,x2475,f38(x2473,a1)),x2473,x2474),f38(x2474,a1))
% 0.64/1.29 [246]E(f25(f25(f14(f38(x2461,a1)),f32(x2462,x2463,x2461,x2464)),f32(x2462,x2465,x2461,x2464)),f32(x2462,f25(f25(f14(f38(x2464,a1)),x2463),x2465),x2461,x2464))
% 0.64/1.29 [249]P12(f30(x2491,f25(f25(f14(f38(x2492,a1)),x2493),x2494),x2492,x2495),f25(f25(f14(f38(x2495,a1)),f30(x2491,x2493,x2492,x2495)),f30(x2491,x2494,x2492,x2495)),f38(x2495,a1))
% 0.64/1.29 [267]~P10(x2671)+P10(f36(x2671))
% 0.64/1.29 [269]E(f25(a5,x2691),f20(a24))+P2(f8(x2691))
% 0.64/1.29 [292]~P22(x2921)+E(f25(f22(f38(a33,x2921)),a40),f22(x2921))
% 0.64/1.29 [294]~P11(x2941)+E(f10(f22(f38(x2941,a1)),x2941),f22(x2941))
% 0.64/1.29 [268]~P10(x2682)+P4(x2681,x2682)
% 0.64/1.29 [285]~P25(x2852)+P12(x2851,x2851,x2852)
% 0.64/1.29 [286]~P26(x2862)+P12(x2861,x2861,x2862)
% 0.64/1.29 [266]E(x2661,x2662)+~E(f8(x2661),f8(x2662))
% 0.64/1.29 [270]~P9(x2702)+P9(f38(x2701,x2702))
% 0.64/1.29 [271]~P16(x2712)+P15(f38(x2711,x2712))
% 0.64/1.29 [272]~P16(x2722)+P20(f38(x2721,x2722))
% 0.64/1.29 [273]~P16(x2732)+P16(f38(x2731,x2732))
% 0.64/1.29 [274]~P17(x2742)+P17(f38(x2741,x2742))
% 0.64/1.29 [275]~P18(x2752)+P18(f38(x2751,x2752))
% 0.64/1.29 [276]~P11(x2762)+P11(f38(x2761,x2762))
% 0.64/1.29 [277]~P25(x2772)+P25(f38(x2771,x2772))
% 0.64/1.29 [278]~P19(x2782)+P19(f38(x2781,x2782))
% 0.64/1.29 [279]~P22(x2792)+P22(f38(x2791,x2792))
% 0.64/1.29 [280]~P26(x2802)+P26(f38(x2801,x2802))
% 0.64/1.29 [287]~P20(x2872)+E(f3(x2871,x2871,x2872),x2871)
% 0.64/1.29 [288]~P22(x2881)+P12(f22(x2881),x2882,x2881)
% 0.64/1.29 [289]~P19(x2892)+E(f3(x2891,f22(x2892),x2892),x2891)
% 0.64/1.29 [290]~P19(x2901)+E(f3(f22(x2901),x2902,x2901),x2902)
% 0.64/1.29 [291]~P19(x2911)+E(f25(f25(f14(x2911),x2912),f22(x2911)),f22(x2911))
% 0.64/1.29 [366]~P12(x3661,f22(f38(x3662,a1)),f38(x3662,a1))+E(x3661,f22(f38(x3662,a1)))
% 0.64/1.29 [580]P6(x5801,f27(f15(f8(x5802)),f22(f38(f34(a35),a1)),f34(a35)),a35)+~P6(f27(f15(f8(x5802)),x5801,f34(a35)),f27(f15(f21(f25(a5,x5802),a24)),f22(f38(f34(a35),a1)),f34(a35)),a35)
% 0.64/1.29 [284]~P15(x2841)+E(f25(f25(f14(x2841),x2842),x2842),x2842)
% 0.64/1.29 [293]~P19(x2931)+E(f25(f25(f14(x2931),f22(x2931)),x2932),f22(x2931))
% 0.64/1.29 [326]~P25(x3262)+E(f29(x3261,x3261,x3262),f27(x3261,f22(f38(x3262,a1)),x3262))
% 0.64/1.29 [367]~P21(x3672)+E(f12(f27(x3671,f22(f38(x3672,a1)),x3672),x3672),x3671)
% 0.64/1.29 [368]~P11(x3682)+E(f11(f27(x3681,f22(f38(x3682,a1)),x3682),x3682),x3681)
% 0.64/1.29 [369]~P11(x3692)+E(f10(f27(x3691,f22(f38(x3692,a1)),x3692),x3692),x3691)
% 0.64/1.29 [370]~P21(x3702)+E(f13(f27(x3701,f22(f38(x3702,a1)),x3702),x3702),x3701)
% 0.64/1.29 [306]~P6(x3061,x3062,x3063)+P8(x3061,x3062,x3063)
% 0.64/1.29 [283]E(x2831,x2832)+~E(f2(x2831,x2833),f2(x2832,x2833))
% 0.64/1.29 [302]~P20(x3023)+E(f3(x3021,x3022,x3023),f3(x3022,x3021,x3023))
% 0.64/1.29 [303]~P16(x3033)+E(f3(x3031,x3032,x3033),f3(x3032,x3031,x3033))
% 0.64/1.29 [305]~P2(f8(x3052))+P2(f9(x3051,x3052,x3053))
% 0.64/1.29 [309]~P4(x3092,x3093)+P4(f27(x3091,x3092,x3093),x3093)
% 0.64/1.29 [317]~P27(f25(x3172,x3171))+P27(f26(x3171,x3172,x3173))
% 0.64/1.29 [327]~P20(x3273)+P12(x3271,f3(x3272,x3271,x3273),x3273)
% 0.64/1.29 [328]~P16(x3283)+P12(x3281,f3(x3282,x3281,x3283),x3283)
% 0.64/1.29 [329]~P20(x3293)+P12(x3291,f3(x3291,x3292,x3293),x3293)
% 0.64/1.29 [330]~P16(x3303)+P12(x3301,f3(x3301,x3302,x3303),x3303)
% 0.64/1.29 [339]P2(f8(x3391))+~P2(f9(x3392,x3391,x3393))
% 0.64/1.29 [348]P4(x3481,x3482)+~P4(f27(x3483,x3481,x3482),x3482)
% 0.64/1.29 [350]P27(f25(x3501,x3502))+~P27(f26(x3502,x3501,x3503))
% 0.64/1.29 [365]E(f27(x3651,x3652,x3653),x3652)+~P27(f26(x3651,x3652,x3653))
% 0.64/1.29 [295]~P27(f25(x2951,x2953))+~E(x2951,f22(f38(x2952,a1)))
% 0.64/1.29 [296]~P27(f25(x2962,x2963))+~E(f22(f38(x2961,a1)),x2962)
% 0.64/1.29 [325]~P16(x3251)+E(f25(f25(f14(x3251),x3252),f3(x3252,x3253,x3251)),x3252)
% 0.64/1.29 [340]~P4(x3401,x3403)+P4(f4(x3401,x3402,f38(x3403,a1)),x3403)
% 0.64/1.29 [341]E(x3411,f22(f38(x3412,a1)))+~E(f3(x3413,x3411,f38(x3412,a1)),f22(f38(x3412,a1)))
% 0.64/1.29 [342]E(x3421,f22(f38(x3422,a1)))+~E(f3(x3421,x3423,f38(x3422,a1)),f22(f38(x3422,a1)))
% 0.64/1.29 [345]~P12(x3451,x3452,f38(x3453,a1))+E(f3(x3451,x3452,f38(x3453,a1)),x3452)
% 0.64/1.29 [346]~P12(x3462,x3461,f38(x3463,a1))+E(f3(x3461,x3462,f38(x3463,a1)),x3461)
% 0.64/1.29 [347]P12(x3471,x3472,f38(x3473,a1))+~E(f3(x3471,x3472,f38(x3473,a1)),x3472)
% 0.64/1.29 [351]~P11(x3511)+E(f25(f25(f14(x3511),x3512),f11(x3513,x3511)),f11(f27(x3512,x3513,x3511),x3511))
% 0.64/1.29 [352]~P11(x3523)+E(f3(x3521,f10(x3522,x3523),x3523),f10(f27(x3521,x3522,x3523),x3523))
% 0.64/1.29 [362]~P20(x3623)+E(f3(x3621,f3(x3621,x3622,x3623),x3623),f3(x3621,x3622,x3623))
% 0.64/1.29 [363]~P16(x3633)+E(f3(x3631,f3(x3631,x3632,x3633),x3633),f3(x3631,x3632,x3633))
% 0.64/1.29 [390]P4(x3901,x3902)+~P4(f3(x3903,x3901,f38(x3902,a1)),x3902)
% 0.64/1.29 [391]P4(x3911,x3912)+~P4(f3(x3911,x3913,f38(x3912,a1)),x3912)
% 0.64/1.29 [429]~P12(x4291,x4292,f38(x4293,a1))+E(f3(x4291,f4(x4292,x4291,f38(x4293,a1)),f38(x4293,a1)),x4292)
% 0.64/1.29 [469]P27(f26(x4691,x4692,x4693))+E(f4(f27(x4691,x4692,x4693),f27(x4691,f22(f38(x4693,a1)),x4693),f38(x4693,a1)),x4692)
% 0.64/1.29 [300]~P15(x3001)+E(f25(f25(f14(x3001),x3002),x3003),f25(f25(f14(x3001),x3003),x3002))
% 0.64/1.29 [301]~P16(x3011)+E(f25(f25(f14(x3011),x3012),x3013),f25(f25(f14(x3011),x3013),x3012))
% 0.64/1.29 [320]~P15(x3201)+P12(f25(f25(f14(x3201),x3202),x3203),x3203,x3201)
% 0.64/1.29 [321]~P16(x3211)+P12(f25(f25(f14(x3211),x3212),x3213),x3213,x3211)
% 0.64/1.29 [322]~P15(x3221)+P12(f25(f25(f14(x3221),x3222),x3223),x3222,x3221)
% 0.64/1.29 [323]~P16(x3231)+P12(f25(f25(f14(x3231),x3232),x3233),x3232,x3231)
% 0.64/1.29 [388]~P9(x3883)+E(f4(f25(x3881,a40),f25(x3882,a40),x3883),f25(f4(x3881,x3882,f38(a33,x3883)),a40))
% 0.64/1.29 [389]~P16(x3893)+E(f3(f25(x3891,a40),f25(x3892,a40),x3893),f25(f3(x3891,x3892,f38(a33,x3893)),a40))
% 0.64/1.29 [420]E(x4201,x4202)+~E(f27(x4201,f22(f38(x4203,a1)),x4203),f27(x4202,f22(f38(x4203,a1)),x4203))
% 0.64/1.29 [521]~P27(f26(x5211,x5212,x5213))+E(f27(x5211,f4(x5212,f27(x5211,f22(f38(x5213,a1)),x5213),f38(x5213,a1)),x5213),x5212)
% 0.64/1.29 [324]~P16(x3242)+E(f3(x3241,f25(f25(f14(x3242),x3241),x3243),x3242),x3241)
% 0.64/1.29 [356]~P15(x3561)+E(f25(f25(f14(x3561),x3562),f25(f25(f14(x3561),x3562),x3563)),f25(f25(f14(x3561),x3562),x3563))
% 0.64/1.29 [357]~P16(x3571)+E(f25(f25(f14(x3571),x3572),f25(f25(f14(x3571),x3572),x3573)),f25(f25(f14(x3571),x3572),x3573))
% 0.64/1.29 [386]~P12(x3863,x3862,f38(x3861,a1))+E(f25(f25(f14(f38(x3861,a1)),x3862),x3863),x3863)
% 0.64/1.29 [387]~P12(x3872,x3873,f38(x3871,a1))+E(f25(f25(f14(f38(x3871,a1)),x3872),x3873),x3872)
% 0.64/1.29 [412]~P4(x4123,x4121)+P4(f25(f25(f14(f38(x4121,a1)),x4122),x4123),x4121)
% 0.64/1.29 [413]~P4(x4132,x4131)+P4(f25(f25(f14(f38(x4131,a1)),x4132),x4133),x4131)
% 0.64/1.29 [428]E(f4(x4281,x4282,f38(x4283,a1)),x4281)+~E(f25(f25(f14(f38(x4283,a1)),x4281),x4282),f22(f38(x4283,a1)))
% 0.64/1.29 [508]E(x5081,x5082)+~P27(f25(f27(x5081,f22(f38(x5083,a1)),x5083),x5082))
% 0.64/1.29 [530]E(x5301,x5302)+~P27(f26(x5301,f27(x5302,f22(f38(x5303,a1)),x5303),x5303))
% 0.64/1.29 [543]E(x5431,f19(f27(x5432,f22(f38(x5433,a1)),x5433),x5433))+~P27(f25(f27(x5432,f22(f38(x5433,a1)),x5433),x5431))
% 0.64/1.29 [451]~P16(x4511)+E(f25(f25(f25(f14(f38(a33,x4511)),x4512),x4513),a40),f25(f25(f14(x4511),f25(x4512,a40)),f25(x4513,a40)))
% 0.64/1.29 [487]~P11(x4873)+E(f11(f27(x4871,f27(x4872,f22(f38(x4873,a1)),x4873),x4873),x4873),f25(f25(f14(x4873),x4871),x4872))
% 0.64/1.29 [488]~P11(x4883)+E(f10(f27(x4881,f27(x4882,f22(f38(x4883,a1)),x4883),x4883),x4883),f3(x4881,x4882,x4883))
% 0.64/1.29 [398]~P12(x3981,x3983,f38(x3984,a1))+P12(x3981,f27(x3982,x3983,x3984),f38(x3984,a1))
% 0.64/1.29 [431]~P12(f27(x4314,x4311,x4313),x4312,f38(x4313,a1))+P12(x4311,x4312,f38(x4313,a1))
% 0.64/1.29 [439]~P12(f27(x4391,x4394,x4393),x4392,f38(x4393,a1))+P27(f26(x4391,x4392,x4393))
% 0.64/1.29 [444]~P12(x4442,x4444,f38(x4443,a1))+P12(f27(x4441,x4442,x4443),f27(x4441,x4444,x4443),f38(x4443,a1))
% 0.64/1.29 [471]~P4(x4712,x4713)+P4(f30(x4711,x4712,x4713,x4714),x4714)
% 0.64/1.29 [502]~P13(x5021,x5024,x5022,x5023)+P12(f17(x5021,x5022,x5023),f17(x5024,x5022,x5023),f38(x5022,a1))
% 0.64/1.29 [581]P13(x5811,f18(x5811,x5812,x5813,x5814),x5813,x5814)+~E(f18(x5811,x5812,x5813,x5814),f18(x5812,x5811,x5813,x5814))
% 0.64/1.29 [585]~P13(x5851,f18(x5851,x5852,x5853,x5854),x5853,x5854)+E(f18(x5851,x5852,x5853,x5854),f18(x5852,x5851,x5853,x5854))
% 0.64/1.29 [297]~P14(x2971,x2974)+E(f25(f25(x2971,x2972),x2973),f25(f25(x2971,x2973),x2972))
% 0.64/1.29 [396]~P27(f25(x3962,x3964))+P27(f25(f27(x3961,x3962,x3963),x3964))
% 0.64/1.29 [414]P6(x4141,x4142,x4143)+~P6(x4141,f27(x4144,x4142,f34(x4143)),x4143)
% 0.64/1.29 [415]~P20(x4154)+E(f3(x4151,f3(x4152,x4153,x4154),x4154),f3(x4152,f3(x4151,x4153,x4154),x4154))
% 0.64/1.29 [416]~P16(x4164)+E(f3(x4161,f3(x4162,x4163,x4164),x4164),f3(x4162,f3(x4161,x4163,x4164),x4164))
% 0.64/1.29 [417]~P20(x4173)+E(f3(f3(x4171,x4172,x4173),x4174,x4173),f3(x4171,f3(x4172,x4174,x4173),x4173))
% 0.64/1.29 [418]~P16(x4183)+E(f3(f3(x4181,x4182,x4183),x4184,x4183),f3(x4181,f3(x4182,x4184,x4183),x4183))
% 0.64/1.29 [427]E(f25(x4271,x4272),f20(x4273))+P27(f26(x4272,f17(x4271,x4274,x4273),x4274))
% 0.64/1.29 [452]~P27(f26(x4521,x4524,x4523))+E(f4(f27(x4521,x4522,x4523),x4524,f38(x4523,a1)),f4(x4522,x4524,f38(x4523,a1)))
% 0.64/1.29 [453]P12(x4531,x4532,f38(x4533,a1))+~P12(f3(x4534,x4531,f38(x4533,a1)),x4532,f38(x4533,a1))
% 0.64/1.29 [454]P12(x4541,x4542,f38(x4543,a1))+~P12(f3(x4541,x4544,f38(x4543,a1)),x4542,f38(x4543,a1))
% 0.64/1.29 [456]~E(f30(x4563,x4561,x4562,x4564),f22(f38(x4564,a1)))+E(x4561,f22(f38(x4562,a1)))
% 0.64/1.29 [465]~P27(f26(x4651,x4653,x4654))+P27(f26(x4651,f27(x4652,x4653,x4654),x4654))
% 0.64/1.29 [475]~E(f25(x4751,x4752),f20(x4753))+~P27(f26(x4752,f17(x4751,x4754,x4753),x4754))
% 0.64/1.29 [483]~P12(f4(x4831,x4832,f38(x4834,a1)),x4833,f38(x4834,a1))+P12(x4831,f3(x4832,x4833,f38(x4834,a1)),f38(x4834,a1))
% 0.64/1.29 [484]~P12(x4841,f3(x4842,x4844,f38(x4843,a1)),f38(x4843,a1))+P12(f4(x4841,x4842,f38(x4843,a1)),x4844,f38(x4843,a1))
% 0.64/1.29 [486]~P6(x4861,f27(x4862,x4864,f34(x4863)),x4863)+P6(x4861,f27(x4862,f22(f38(f34(x4863),a1)),f34(x4863)),x4863)
% 0.64/1.29 [499]~P4(f4(x4991,x4993,f38(x4994,a1)),x4994)+P4(f4(x4991,f27(x4992,x4993,x4994),f38(x4994,a1)),x4994)
% 0.64/1.29 [510]~P4(f4(x5101,f27(x5104,x5102,x5103),f38(x5103,a1)),x5103)+P4(f4(x5101,x5102,f38(x5103,a1)),x5103)
% 0.64/1.29 [566]E(f18(x5661,x5662,x5663,x5664),f18(x5662,x5661,x5663,x5664))+~E(f25(f25(f14(f38(x5663,a1)),f17(x5661,x5663,x5664)),f17(x5662,x5663,x5664)),f22(f38(x5663,a1)))
% 0.64/1.29 [435]~P27(f25(x4352,x4354))+P27(f25(f3(x4351,x4352,f38(x4353,a1)),x4354))
% 0.64/1.29 [436]~P27(f25(x4361,x4364))+P27(f25(f3(x4361,x4362,f38(x4363,a1)),x4364))
% 0.64/1.29 [466]P27(f26(x4661,x4664,x4663))+E(f4(f27(x4661,x4662,x4663),x4664,f38(x4663,a1)),f27(x4661,f4(x4662,x4664,f38(x4663,a1)),x4663))
% 0.64/1.29 [481]~P27(f26(x4811,x4813,x4814))+P27(f26(x4811,f3(x4812,x4813,f38(x4814,a1)),x4814))
% 0.64/1.29 [482]~P27(f26(x4821,x4822,x4824))+P27(f26(x4821,f3(x4822,x4823,f38(x4824,a1)),x4824))
% 0.64/1.29 [512]P27(f26(x5121,x5122,x5123))+~P27(f26(x5121,f4(x5122,x5124,f38(x5123,a1)),x5123))
% 0.64/1.29 [517]~P12(x5174,x5172,f38(x5171,a1))+E(f3(f25(f25(f14(f38(x5171,a1)),x5172),x5173),x5174,f38(x5171,a1)),f25(f25(f14(f38(x5171,a1)),x5172),f3(x5173,x5174,f38(x5171,a1))))
% 0.64/1.29 [525]~P27(f26(x5251,x5252,x5253))+~P27(f26(x5251,f4(x5254,x5252,f38(x5253,a1)),x5253))
% 0.64/1.29 [554]P12(x5541,x5542,f38(x5543,a1))+~E(f3(f25(f25(f14(f38(x5543,a1)),x5542),x5544),x5541,f38(x5543,a1)),f25(f25(f14(f38(x5543,a1)),x5542),f3(x5544,x5541,f38(x5543,a1))))
% 0.64/1.29 [403]~P15(x4031)+E(f25(f25(f14(x4031),x4032),f25(f25(f14(x4031),x4033),x4034)),f25(f25(f14(x4031),x4033),f25(f25(f14(x4031),x4032),x4034)))
% 0.64/1.29 [404]~P16(x4041)+E(f25(f25(f14(x4041),x4042),f25(f25(f14(x4041),x4043),x4044)),f25(f25(f14(x4041),x4043),f25(f25(f14(x4041),x4042),x4044)))
% 0.64/1.29 [450]~P18(x4501)+E(f3(f25(f25(f14(x4501),x4502),x4503),f25(f25(f14(x4501),x4502),x4504),x4501),f25(f25(f14(x4501),x4502),f3(x4503,x4504,x4501)))
% 0.64/1.29 [468]P27(f26(x4683,x4682,x4681))+E(f25(f25(f14(f38(x4681,a1)),x4682),f27(x4683,x4684,x4681)),f25(f25(f14(f38(x4681,a1)),x4682),x4684))
% 0.64/1.29 [472]~P18(x4721)+E(f3(f25(f25(f14(x4721),x4722),x4723),f25(f25(f14(x4721),x4724),x4723),x4721),f25(f25(f14(x4721),f3(x4722,x4724,x4721)),x4723))
% 0.64/1.29 [473]~P18(x4731)+E(f25(f25(f14(x4731),f3(x4732,x4733,x4731)),f3(x4732,x4734,x4731)),f3(x4732,f25(f25(f14(x4731),x4733),x4734),x4731))
% 0.64/1.29 [474]~P18(x4741)+E(f25(f25(f14(x4741),f3(x4742,x4743,x4741)),f3(x4744,x4743,x4741)),f3(f25(f25(f14(x4741),x4742),x4744),x4743,x4741))
% 0.64/1.29 [493]P27(f26(x4932,x4934,x4931))+E(f25(f25(f14(f38(x4931,a1)),f27(x4932,x4933,x4931)),x4934),f25(f25(f14(f38(x4931,a1)),x4933),x4934))
% 0.64/1.29 [500]P12(x5001,x5002,f38(x5003,a1))+~P12(x5001,f25(f25(f14(f38(x5003,a1)),x5004),x5002),f38(x5003,a1))
% 0.64/1.29 [501]P12(x5011,x5012,f38(x5013,a1))+~P12(x5011,f25(f25(f14(f38(x5013,a1)),x5012),x5014),f38(x5013,a1))
% 0.64/1.29 [538]~P16(x5381)+P12(f3(f25(f25(f14(x5381),x5382),x5383),f25(f25(f14(x5381),x5382),x5384),x5381),f25(f25(f14(x5381),x5382),f3(x5383,x5384,x5381)),x5381)
% 0.64/1.29 [555]~P16(x5552)+P12(f3(x5551,f25(f25(f14(x5552),x5553),x5554),x5552),f25(f25(f14(x5552),f3(x5551,x5553,x5552)),f3(x5551,x5554,x5552)),x5552)
% 0.64/1.29 [448]~P15(x4481)+E(f25(f25(f14(x4481),f25(f25(f14(x4481),x4482),x4483)),x4484),f25(f25(f14(x4481),x4482),f25(f25(f14(x4481),x4483),x4484)))
% 0.64/1.29 [449]~P16(x4491)+E(f25(f25(f14(x4491),f25(f25(f14(x4491),x4492),x4493)),x4494),f25(f25(f14(x4491),x4492),f25(f25(f14(x4491),x4493),x4494)))
% 0.64/1.29 [511]~P27(f26(x5111,x5113,x5112))+E(f27(x5111,f25(f25(f14(f38(x5112,a1)),x5113),x5114),x5112),f25(f25(f14(f38(x5112,a1)),x5113),f27(x5111,x5114,x5112)))
% 0.64/1.29 [534]~P27(f26(x5341,x5344,x5342))+E(f27(x5341,f25(f25(f14(f38(x5342,a1)),x5343),x5344),x5342),f25(f25(f14(f38(x5342,a1)),f27(x5341,x5343,x5342)),x5344))
% 0.64/1.29 [544]P27(f25(x5441,x5442))+~P27(f25(f25(f25(f14(f38(x5443,a1)),x5444),x5441),x5442))
% 0.64/1.29 [545]P27(f25(x5451,x5452))+~P27(f25(f25(f25(f14(f38(x5453,a1)),x5451),x5454),x5452))
% 0.64/1.29 [552]P27(f25(x5521,x5522))+~P27(f26(x5522,f25(f25(f14(f38(x5523,a1)),x5524),x5521),x5523))
% 0.64/1.29 [558]P27(f26(x5581,x5582,x5583))+~P27(f26(x5581,f25(f25(f14(f38(x5583,a1)),x5584),x5582),x5583))
% 0.64/1.29 [560]P27(f26(x5601,x5602,x5603))+~P27(f26(x5601,f25(f25(f14(f38(x5603,a1)),x5602),x5604),x5603))
% 0.64/1.29 [587]E(x5871,x5872)+~P27(f25(f6(x5873,f27(x5871,f22(f38(x5874,a1)),x5874),x5874),x5872))
% 0.64/1.29 [561]~P12(x5612,x5615,f38(x5614,a1))+P12(f32(x5611,x5612,x5613,x5614),f32(x5611,x5615,x5613,x5614),f38(x5613,a1))
% 0.64/1.29 [563]~P12(x5632,x5635,f38(x5633,a1))+P12(f30(x5631,x5632,x5633,x5634),f30(x5631,x5635,x5633,x5634),f38(x5634,a1))
% 0.64/1.29 [577]P13(x5771,x5772,x5773,x5774)+~P13(f18(x5775,x5771,x5773,x5774),x5772,x5773,x5774)
% 0.64/1.29 [382]~E(f2(x3825,x3824),f25(x3822,x3821))+E(f27(x3821,f17(x3822,x3823,x3824),x3823),f17(x3822,x3823,x3824))
% 0.64/1.29 [433]~E(f2(x4335,x4334),f25(x4332,x4331))+P27(f26(x4331,f17(x4332,x4333,x4334),x4333))
% 0.64/1.29 [467]~E(f25(x4671,x4674),f20(x4673))+E(f4(f17(x4671,x4672,x4673),f27(x4674,x4675,x4672),f38(x4672,a1)),f4(f17(x4671,x4672,x4673),x4675,f38(x4672,a1)))
% 0.64/1.29 [522]P12(f25(x5221,x5222),f7(x5223,x5221,x5224,f38(x5225,a1)),f38(x5225,a1))+~P27(f26(x5222,x5223,x5224))
% 0.64/1.29 [523]E(f25(x5231,x5232),f20(x5233))+~E(f25(f18(x5234,x5231,x5235,x5233),x5232),f20(x5233))
% 0.64/1.29 [524]E(f25(x5241,x5242),f20(x5243))+~E(f25(f18(x5241,x5244,x5245,x5243),x5242),f20(x5243))
% 0.64/1.29 [531]E(f25(f18(x5311,x5312,x5313,x5314),x5315),f25(x5312,x5315))+P27(f26(x5315,f17(x5311,x5313,x5314),x5313))
% 0.64/1.29 [532]E(f25(f18(x5321,x5322,x5323,x5324),x5325),f25(x5321,x5325))+P27(f26(x5325,f17(x5322,x5323,x5324),x5323))
% 0.64/1.29 [546]~P27(f26(x5462,x5463,x5464))+E(f27(f25(x5461,x5462),f30(x5461,x5463,x5464,x5465),x5465),f30(x5461,x5463,x5464,x5465))
% 0.64/1.29 [548]E(f25(f18(x5481,x5482,x5483,x5484),x5485),f25(x5482,x5485))+~P27(f26(x5485,f17(x5482,x5483,x5484),x5483))
% 0.64/1.29 [551]~P27(f26(x5512,x5513,x5514))+E(f3(f25(x5511,x5512),f7(x5513,x5511,x5514,f38(x5515,a1)),f38(x5515,a1)),f7(x5513,x5511,x5514,f38(x5515,a1)))
% 0.64/1.29 [557]~P27(f25(x5572,f25(x5571,x5575)))+P27(f25(f32(x5571,x5572,x5573,x5574),x5575))
% 0.64/1.29 [570]~P27(f26(x5702,x5703,x5704))+P27(f26(f25(x5701,x5702),f30(x5701,x5703,x5704,x5705),x5705))
% 0.64/1.29 [574]~P27(f26(f25(x5742,x5741),x5743,x5745))+P27(f26(x5741,f32(x5742,x5743,x5744,x5745),x5744))
% 0.64/1.29 [586]P27(f25(x5861,f25(x5862,x5863)))+~P27(f25(f32(x5862,x5861,x5864,x5865),x5863))
% 0.64/1.29 [589]~P27(f26(x5892,f32(x5891,x5893,x5895,x5894),x5895))+P27(f26(f25(x5891,x5892),x5893,x5894))
% 0.64/1.29 [592]P6(x5921,f27(f16(x5922,f8(x5923),x5924,x5925),f22(f38(f34(x5925),a1)),f34(x5925)),x5925)+~P6(x5921,f27(f16(x5922,f21(f25(a5,x5923),a24),x5924,x5925),f22(f38(f34(x5925),a1)),f34(x5925)),x5925)
% 0.64/1.29 [594]P6(x5941,f27(f16(x5942,f8(x5943),x5944,x5945),f22(f38(f34(x5945),a1)),f34(x5945)),x5945)+~P6(f27(f16(x5942,f8(x5943),x5944,x5945),x5941,f34(x5945)),f27(f16(x5942,f21(f25(a5,x5943),a24),x5944,x5945),f22(f38(f34(x5945),a1)),f34(x5945)),x5945)
% 0.64/1.29 [596]E(x5961,x5962)+~P7(x5963,x5962,f22(f38(x5964,a1)),x5961,x5964,x5965)
% 0.64/1.29 [381]~P14(x3811,x3815)+E(f25(f25(x3811,x3812),f25(f25(x3811,x3813),x3814)),f25(f25(x3811,x3813),f25(f25(x3811,x3812),x3814)))
% 0.64/1.29 [419]~P14(x4191,x4195)+E(f25(f25(x4191,f25(f25(x4191,x4192),x4193)),x4194),f25(f25(x4191,x4192),f25(f25(x4191,x4193),x4194)))
% 0.64/1.29 [591]E(f25(x5911,x5912),x5913)+~P27(f26(x5912,f32(x5911,f27(x5913,f22(f38(x5914,a1)),x5914),x5915,x5914),x5915))
% 0.64/1.29 [595]P4(x5951,x5952)+~P7(x5953,x5954,x5951,x5955,x5952,x5956)
% 0.64/1.29 [331]E(x3311,x3312)+~E(f9(x3313,x3314,x3311),f9(x3315,x3316,x3312))
% 0.64/1.29 [332]E(x3321,x3322)+~E(f9(x3323,x3321,x3324),f9(x3325,x3322,x3326))
% 0.64/1.29 [333]E(x3331,x3332)+~E(f9(x3331,x3333,x3334),f9(x3332,x3335,x3336))
% 0.64/1.29 [477]~E(f2(x4776,x4774),f25(x4772,x4775))+E(f25(f18(x4771,x4772,x4773,x4774),x4775),f2(x4776,x4774))
% 0.64/1.29 [514]E(x5141,x5142)+~E(f16(x5143,x5144,x5141,x5145),f16(x5146,x5147,x5142,x5145))
% 0.64/1.29 [515]E(x5151,x5152)+~E(f16(x5153,x5151,x5154,x5155),f16(x5156,x5152,x5157,x5155))
% 0.64/1.29 [516]E(x5161,x5162)+~E(f16(x5161,x5163,x5164,x5165),f16(x5162,x5166,x5167,x5165))
% 0.64/1.29 [602]~P5(x6024,x6021,x6025,x6026,x6027,x6028,x6023,x6029,x6022)+E(f25(x6021,f22(f38(x6022,a1))),x6023)
% 0.64/1.29 [603]~P5(x6031,x6034,x6035,x6036,x6037,x6038,x6039,x6033,x6032)+E(f25(x6031,f22(f38(x6032,a1))),x6033)
% 0.64/1.29 [606]~P5(x6064,x6061,x6065,x6066,x6067,x6068,x6069,x60610,x6063)+E(f25(x6061,f27(x6062,f22(f38(x6063,a1)),x6063)),x6062)
% 0.64/1.29 [607]~P5(x6071,x6074,x6075,x6076,x6077,x6078,x6079,x60710,x6073)+E(f25(x6071,f27(x6072,f22(f38(x6073,a1)),x6073)),x6072)
% 0.64/1.29 [604]~P5(x6046,x6041,x6047,x6048,x6049,x6045,x60410,x60411,x6044)+E(f25(x6041,f27(x6042,x6043,x6044)),f25(f25(x6045,x6042),f25(x6041,x6043)))
% 0.64/1.29 [605]~P5(x6051,x6056,x6057,x6058,x6055,x6059,x60510,x60511,x6054)+E(f25(x6051,f27(x6052,x6053,x6054)),f25(f25(x6055,x6052),f25(x6051,x6053)))
% 0.64/1.29 [610]~P5(x6106,x6101,x6107,x6108,x6109,x6105,x61010,x61011,x6104)+E(f25(x6101,f27(x6102,f27(x6103,f22(f38(x6104,a1)),x6104),x6104)),f25(f25(x6105,x6102),x6103))
% 0.64/1.29 [611]~P5(x6111,x6116,x6117,x6118,x6115,x6119,x61110,x61111,x6114)+E(f25(x6111,f27(x6112,f27(x6113,f22(f38(x6114,a1)),x6114),x6114)),f25(f25(x6115,x6112),x6113))
% 0.64/1.29 [281]~P10(x2812)+~P10(x2811)+P10(f38(x2811,x2812))
% 0.64/1.29 [282]P2(x2821)+~E(f25(a5,x2822),f2(x2821,a24))+~P1(a500)
% 0.64/1.29 [304]P12(x3042,x3041,x3043)+~P21(x3043)+P12(x3041,x3042,x3043)
% 0.64/1.29 [298]~P19(x2982)+~E(f3(x2983,x2981,x2982),f22(x2982))+E(x2981,f22(x2982))
% 0.64/1.29 [299]~P19(x2992)+~E(f3(x2991,x2993,x2992),f22(x2992))+E(x2991,f22(x2992))
% 0.64/1.29 [313]~P20(x3133)+~P12(x3131,x3132,x3133)+E(f3(x3131,x3132,x3133),x3132)
% 0.64/1.29 [314]~P20(x3143)+~P12(x3142,x3141,x3143)+E(f3(x3141,x3142,x3143),x3141)
% 0.64/1.29 [315]~P20(x3153)+P12(x3151,x3152,x3153)+~E(f3(x3151,x3152,x3153),x3152)
% 0.64/1.29 [319]P4(x3191,x3192)+~P4(x3193,x3192)+~P12(x3191,x3193,f38(x3192,a1))
% 0.64/1.29 [376]E(x3761,x3762)+~P12(x3761,x3762,f38(x3763,a1))+~P12(x3762,x3761,f38(x3763,a1))
% 0.64/1.29 [384]~P11(x3843)+P12(x3841,f10(x3842,x3843),x3843)+~P27(f26(x3841,x3842,x3843))
% 0.64/1.29 [385]~P11(x3852)+P12(f11(x3851,x3852),x3853,x3852)+~P27(f26(x3853,x3851,x3852))
% 0.64/1.29 [307]P12(x3071,x3072,x3073)+~P25(x3073)+E(f29(x3071,x3072,x3073),f22(f38(x3073,a1)))
% 0.64/1.29 [308]P12(x3082,x3083,x3081)+~P25(x3081)+E(f22(f38(x3081,a1)),f29(x3082,x3083,x3081))
% 0.64/1.29 [355]~P4(x3552,x3553)+~P4(x3551,x3553)+P4(f3(x3551,x3552,f38(x3553,a1)),x3553)
% 0.64/1.29 [360]~P25(x3603)+~P12(x3601,x3602,x3603)+~E(f29(x3601,x3602,x3603),f22(f38(x3603,a1)))
% 0.64/1.29 [361]~P25(x3611)+~P12(x3612,x3613,x3611)+~E(f22(f38(x3611,a1)),f29(x3612,x3613,x3611))
% 0.64/1.29 [397]P4(x3971,x3972)+~P4(x3973,x3972)+~P4(f4(x3971,x3973,f38(x3972,a1)),x3972)
% 0.64/1.29 [310]~P15(x3103)+P12(x3101,x3102,x3103)+~E(f25(f25(f14(x3103),x3101),x3102),x3101)
% 0.64/1.29 [311]~P15(x3111)+~P12(x3113,x3112,x3111)+E(f25(f25(f14(x3111),x3112),x3113),x3113)
% 0.64/1.29 [312]~P15(x3121)+~P12(x3122,x3123,x3121)+E(f25(f25(f14(x3121),x3122),x3123),x3122)
% 0.64/1.29 [480]~P12(x4801,f27(x4803,f22(f38(x4802,a1)),x4802),f38(x4802,a1))+E(x4801,f22(f38(x4802,a1)))+E(x4801,f27(x4803,f22(f38(x4802,a1)),x4802))
% 0.64/1.29 [593]~P8(f22(f38(f34(a35),a1)),f27(f16(x5931,x5932,x5933,a35),f22(f38(f34(a35),a1)),f34(a35)),a35)+~P6(f22(f38(f34(a35),a1)),f27(f15(x5932),f22(f38(f34(a35),a1)),f34(a35)),a35)+P6(f22(f38(f34(a35),a1)),f27(f16(x5931,x5932,x5933,a35),f22(f38(f34(a35),a1)),f34(a35)),a35)
% 0.64/1.29 [364]~P6(x3641,x3644,x3643)+P6(x3641,x3642,x3643)+~P6(x3644,x3642,x3643)
% 0.64/1.29 [518]~P13(x5181,x5182,x5183,x5184)+E(x5181,x5182)+~P13(x5182,x5181,x5183,x5184)
% 0.64/1.29 [334]~P23(x3344)+E(x3341,x3342)+~E(f4(x3343,x3343,x3344),f4(x3341,x3342,x3344))
% 0.64/1.29 [335]~P23(x3353)+E(x3351,x3352)+~E(f4(x3351,x3352,x3353),f4(x3354,x3354,x3353))
% 0.64/1.29 [344]~P12(x3443,x3441,f38(x3444,a1))+P27(f25(x3441,x3442))+~P27(f25(x3443,x3442))
% 0.64/1.29 [379]~P20(x3794)+~P12(x3791,x3793,x3794)+P12(x3791,f3(x3792,x3793,x3794),x3794)
% 0.64/1.29 [380]~P20(x3804)+~P12(x3801,x3802,x3804)+P12(x3801,f3(x3802,x3803,x3804),x3804)
% 0.64/1.29 [406]~P20(x4063)+P12(x4061,x4062,x4063)+~P12(f3(x4064,x4061,x4063),x4062,x4063)
% 0.64/1.29 [408]~P20(x4083)+P12(x4081,x4082,x4083)+~P12(f3(x4081,x4084,x4083),x4082,x4083)
% 0.64/1.29 [411]~P12(x4111,x4114,f38(x4113,a1))+~P12(x4114,x4112,f38(x4113,a1))+P12(x4111,x4112,f38(x4113,a1))
% 0.64/1.29 [443]~P12(x4434,x4432,f38(x4433,a1))+P27(f26(x4431,x4432,x4433))+~P27(f26(x4431,x4434,x4433))
% 0.64/1.29 [462]~P12(x4622,f27(x4621,x4624,x4623),f38(x4623,a1))+P12(x4622,x4624,f38(x4623,a1))+P27(f26(x4621,x4622,x4623))
% 0.64/1.29 [463]~P12(x4632,x4634,f38(x4633,a1))+P12(f27(x4631,x4632,x4633),x4634,f38(x4633,a1))+~P27(f26(x4631,x4634,x4633))
% 0.64/1.29 [445]E(x4451,x4452)+P27(f25(x4453,x4451))+~P27(f25(f27(x4452,x4453,x4454),x4451))
% 0.64/1.29 [459]~P12(x4591,x4594,f38(x4593,a1))+~P12(x4592,x4594,f38(x4593,a1))+P12(f3(x4591,x4592,f38(x4593,a1)),x4594,f38(x4593,a1))
% 0.64/1.29 [460]~P12(x4601,x4602,f38(x4604,a1))+~P12(x4603,x4601,f38(x4604,a1))+E(f4(x4601,f4(x4602,x4603,f38(x4604,a1)),f38(x4604,a1)),x4603)
% 0.64/1.29 [495]E(x4951,x4952)+P27(f26(x4951,x4953,x4954))+~P27(f26(x4951,f27(x4952,x4953,x4954),x4954))
% 0.64/1.29 [513]~P6(x5131,x5133,x5134)+P6(x5131,f27(x5132,x5133,f34(x5134)),x5134)+~P6(x5131,f27(x5132,f22(f38(f34(x5134),a1)),f34(x5134)),x5134)
% 0.64/1.29 [556]~P12(x5561,f27(x5562,x5564,x5563),f38(x5563,a1))+P12(f4(x5561,f27(x5562,f22(f38(x5563,a1)),x5563),f38(x5563,a1)),x5564,f38(x5563,a1))+~P27(f26(x5562,x5561,x5563))
% 0.64/1.29 [576]P12(x5761,f27(x5762,x5763,x5764),f38(x5764,a1))+~P12(f4(x5761,f27(x5762,f22(f38(x5764,a1)),x5764),f38(x5764,a1)),x5763,f38(x5764,a1))+~P27(f26(x5762,x5761,x5764))
% 0.64/1.29 [377]~P15(x3771)+~P12(x3773,x3774,x3771)+P12(f25(f25(f14(x3771),x3772),x3773),x3774,x3771)
% 0.64/1.29 [378]~P15(x3781)+~P12(x3782,x3784,x3781)+P12(f25(f25(f14(x3781),x3782),x3783),x3784,x3781)
% 0.64/1.29 [400]~P15(x4003)+P12(x4001,x4002,x4003)+~P12(x4001,f25(f25(f14(x4003),x4004),x4002),x4003)
% 0.64/1.29 [402]~P15(x4023)+P12(x4021,x4022,x4023)+~P12(x4021,f25(f25(f14(x4023),x4022),x4024),x4023)
% 0.64/1.29 [479]P27(f25(x4791,x4792))+P27(f25(x4793,x4792))+~P27(f25(f3(x4791,x4793,f38(x4794,a1)),x4792))
% 0.64/1.29 [507]~P27(f26(x5071,x5074,x5073))+P27(f26(x5071,x5072,x5073))+P27(f26(x5071,f4(x5074,x5072,f38(x5073,a1)),x5073))
% 0.64/1.29 [536]P27(f26(x5361,x5362,x5363))+P27(f26(x5361,x5364,x5363))+~P27(f26(x5361,f3(x5362,x5364,f38(x5363,a1)),x5363))
% 0.64/1.29 [492]~P12(x4921,x4923,f38(x4922,a1))+~P12(x4921,x4924,f38(x4922,a1))+P12(x4921,f25(f25(f14(f38(x4922,a1)),x4923),x4924),f38(x4922,a1))
% 0.64/1.29 [494]~P27(f26(x4944,x4943,x4941))+~P27(f26(x4944,x4942,x4941))+~E(f25(f25(f14(f38(x4941,a1)),x4942),x4943),f22(f38(x4941,a1)))
% 0.64/1.29 [505]~P27(f25(x5053,x5054))+~P27(f25(x5052,x5054))+P27(f25(f25(f25(f14(f38(x5051,a1)),x5052),x5053),x5054))
% 0.64/1.29 [539]~P27(f25(x5394,x5391))+~P27(f26(x5391,x5393,x5392))+P27(f26(x5391,f25(f25(f14(f38(x5392,a1)),x5393),x5394),x5392))
% 0.64/1.29 [550]~P27(f26(x5501,x5504,x5502))+~P27(f26(x5501,x5503,x5502))+P27(f26(x5501,f25(f25(f14(f38(x5502,a1)),x5503),x5504),x5502))
% 0.64/1.29 [547]~P13(x5471,x5475,x5473,x5474)+P13(x5471,x5472,x5473,x5474)+~P13(x5475,x5472,x5473,x5474)
% 0.64/1.29 [374]~P17(x3744)+P12(f25(x3741,x3742),f25(x3743,x3742),x3744)+~P12(x3741,x3743,f38(x3745,x3744))
% 0.64/1.29 [430]~P25(x4303)+P12(x4301,x4302,x4303)+P12(f29(x4301,x4302,x4303),f29(x4304,x4305,x4303),f38(x4303,a1))
% 0.64/1.29 [509]~P11(x5095)+P12(f25(x5091,x5092),f7(x5093,x5091,x5094,x5095),x5095)+~P27(f26(x5092,x5093,x5094))
% 0.64/1.29 [542]P4(x5421,x5422)+~P4(x5423,x5424)+~P12(x5421,f30(x5425,x5423,x5424,x5422),f38(x5422,a1))
% 0.64/1.29 [478]~E(f25(x4782,x4785),f20(x4784))+~E(f25(x4781,x4785),f20(x4784))+E(f25(f18(x4781,x4782,x4783,x4784),x4785),f20(x4784))
% 0.64/1.29 [496]~P12(x4961,x4964,f38(x4963,a1))+~P12(x4965,x4962,f38(x4963,a1))+P12(f4(x4961,x4962,f38(x4963,a1)),f4(x4964,x4965,f38(x4963,a1)),f38(x4963,a1))
% 0.64/1.29 [497]~P12(x4971,x4974,f38(x4973,a1))+~P12(x4972,x4975,f38(x4973,a1))+P12(f3(x4971,x4972,f38(x4973,a1)),f3(x4974,x4975,f38(x4973,a1)),f38(x4973,a1))
% 0.64/1.29 [504]~P27(f26(x5042,x5044,x5045))+E(f25(x5041,x5042),f22(f38(x5043,a1)))+~E(f7(x5044,x5041,x5045,f38(x5043,a1)),f22(f38(x5043,a1)))
% 0.64/1.29 [541]~P13(x5411,x5413,x5414,x5415)+E(f25(x5411,x5412),f25(x5413,x5412))+~P27(f26(x5412,f17(x5411,x5414,x5415),x5414))
% 0.64/1.29 [597]~P7(x5974,x5971,x5972,x5975,x5973,x5973)+P27(f26(x5971,x5972,x5973))+P27(f25(f6(x5974,f27(x5971,x5972,x5973),x5973),x5975))
% 0.64/1.29 [526]E(x5261,x5262)+E(x5261,x5263)+~E(f27(x5264,f27(x5261,f22(f38(x5265,a1)),x5265),x5265),f27(x5263,f27(x5262,f22(f38(x5265,a1)),x5265),x5265))
% 0.64/1.29 [527]E(x5271,x5272)+E(x5273,x5272)+~E(f27(x5273,f27(x5271,f22(f38(x5274,a1)),x5274),x5274),f27(x5275,f27(x5272,f22(f38(x5274,a1)),x5274),x5274))
% 0.64/1.29 [528]E(x5281,x5282)+E(x5283,x5282)+~E(f27(x5283,f27(x5281,f22(f38(x5284,a1)),x5284),x5284),f27(x5282,f27(x5285,f22(f38(x5284,a1)),x5284),x5284))
% 0.64/1.29 [529]E(x5291,x5292)+E(x5291,x5293)+~E(f27(x5291,f27(x5294,f22(f38(x5295,a1)),x5295),x5295),f27(x5293,f27(x5292,f22(f38(x5295,a1)),x5295),x5295))
% 0.64/1.29 [537]~P12(x5372,x5374,f38(x5371,a1))+~P12(x5373,x5375,f38(x5371,a1))+P12(f25(f25(f14(f38(x5371,a1)),x5372),x5373),f25(f25(f14(f38(x5371,a1)),x5374),x5375),f38(x5371,a1))
% 0.64/1.29 [485]~E(f25(x4852,x4855),f20(x4854))+~E(f2(x4856,x4854),f25(x4851,x4855))+E(f25(f18(x4851,x4852,x4853,x4854),x4855),f2(x4856,x4854))
% 0.64/1.29 [533]E(f25(x5331,x5332),f20(x5333))+E(f2(x5334,x5333),f25(x5331,x5332))+~E(f25(f18(x5335,x5331,x5336,x5333),x5332),f2(x5334,x5333))
% 0.64/1.29 [535]E(f2(x5351,x5352),f25(x5353,x5354))+E(f2(x5351,x5352),f25(x5355,x5354))+~E(f25(f18(x5355,x5353,x5356,x5352),x5354),f2(x5351,x5352))
% 0.64/1.29 [564]~P12(f30(x5641,x5645,x5646,x5644),x5643,f38(x5644,a1))+~P27(f26(x5642,x5645,x5646))+P27(f26(f25(x5641,x5642),x5643,x5644))
% 0.64/1.29 [565]P12(f25(x5651,x5652),x5653,f38(x5654,a1))+~P12(f7(x5655,x5651,x5656,f38(x5654,a1)),x5653,f38(x5654,a1))+~P27(f26(x5652,x5655,x5656))
% 0.64/1.29 [579]~P27(f26(x5796,x5791,x5793))+~P27(f25(f25(x5792,x5796),x5795))+P27(f25(f7(x5791,x5792,x5793,f38(x5794,a1)),x5795))
% 0.64/1.29 [584]~P27(f26(x5846,x5842,x5844))+~P27(f26(x5841,f25(x5843,x5846),x5845))+P27(f26(x5841,f7(x5842,x5843,x5844,f38(x5845,a1)),x5845))
% 0.64/1.29 [598]~P7(x5984,x5985,x5982,x5986,x5983,x5987)+P7(x5984,x5985,f27(x5981,x5982,x5983),f25(f25(x5984,x5981),x5986),x5983,x5987)+P27(f26(x5981,x5982,x5983))
% 0.64/1.29 [600]P7(x6001,x6002,x6003,f25(f25(x6001,x6004),x6005),x6006,x6007)+~P7(x6001,x6002,f4(x6003,f27(x6004,f22(f38(x6006,a1)),x6006),f38(x6006,a1)),x6005,x6006,x6007)+~P27(f26(x6004,x6003,x6006))
% 0.64/1.29 [608]~P5(x6086,x6083,x6081,x6087,x6088,x6089,x60810,x60811,x6085)+~P27(f26(x6082,x6084,x6085))+P27(f25(f25(x6081,x6082),f25(x6083,x6084)))
% 0.64/1.29 [609]~P5(x6092,x6096,x6091,x6097,x6098,x6099,x60910,x60911,x6095)+~P27(f26(x6094,x6093,x6095))+P27(f25(f25(x6091,f25(x6092,x6093)),x6094))
% 0.64/1.29 [434]~P2(x4341)+~P1(a500)+~P3(a500)+P6(f22(f38(f34(a35),a1)),f27(f15(x4341),f22(f38(f34(a35),a1)),f34(a35)),a35)
% 0.64/1.29 [358]~P21(x3582)+~P4(x3581,x3582)+E(x3581,f22(f38(x3582,a1)))+P27(f26(f12(x3581,x3582),x3581,x3582))
% 0.64/1.29 [359]~P21(x3592)+~P4(x3591,x3592)+E(x3591,f22(f38(x3592,a1)))+P27(f26(f13(x3591,x3592),x3591,x3592))
% 0.64/1.29 [498]~P2(x4982)+~P3(a500)+P6(x4981,f27(f15(x4982),f22(f38(f34(a35),a1)),f34(a35)),a35)+P27(f26(f41(x4981),f17(a5,a23,a24),a23))
% 0.64/1.29 [540]~P2(x5402)+~P3(a500)+~P6(x5401,f27(f15(f8(f41(x5401))),f22(f38(f34(a35),a1)),f34(a35)),a35)+P6(x5401,f27(f15(x5402),f22(f38(f34(a35),a1)),f34(a35)),a35)
% 0.64/1.29 [338]~P12(x3382,x3381,x3383)+~P12(x3381,x3382,x3383)+E(x3381,x3382)+~P25(x3383)
% 0.64/1.29 [392]~P21(x3923)+~P4(x3922,x3923)+P12(x3921,f12(x3922,x3923),x3923)+~P27(f26(x3921,x3922,x3923))
% 0.64/1.29 [393]~P21(x3932)+~P4(x3931,x3932)+P12(f13(x3931,x3932),x3933,x3932)+~P27(f26(x3933,x3931,x3932))
% 0.64/1.29 [470]~P15(x4701)+~P4(x4702,x4701)+~P27(f26(x4703,x4702,x4701))+P12(f31(f6(f14(x4701),x4702,x4701),x4701),x4703,x4701)
% 0.64/1.29 [371]~P25(x3713)+~P12(x3711,x3714,x3713)+P12(x3711,x3712,x3713)+~P12(x3714,x3712,x3713)
% 0.64/1.29 [372]~P26(x3723)+~P12(x3721,x3724,x3723)+P12(x3721,x3722,x3723)+~P12(x3724,x3722,x3723)
% 0.64/1.29 [426]~P20(x4263)+~P12(x4262,x4264,x4263)+~P12(x4261,x4264,x4263)+P12(f3(x4261,x4262,x4263),x4264,x4263)
% 0.64/1.29 [438]E(x4381,x4382)+~E(f27(x4383,x4381,x4384),f27(x4383,x4382,x4384))+P27(f26(x4383,x4381,x4384))+P27(f26(x4383,x4382,x4384))
% 0.64/1.29 [423]~P15(x4232)+~P12(x4231,x4234,x4232)+~P12(x4231,x4233,x4232)+P12(x4231,f25(f25(f14(x4232),x4233),x4234),x4232)
% 0.64/1.29 [409]~P24(x4093)+~P12(x4095,x4094,x4093)+P12(x4091,x4092,x4093)+~E(f4(x4094,x4095,x4093),f4(x4092,x4091,x4093))
% 0.64/1.29 [410]~P24(x4103)+~P12(x4105,x4104,x4103)+P12(x4101,x4102,x4103)+~E(f4(x4102,x4101,x4103),f4(x4104,x4105,x4103))
% 0.64/1.29 [457]~P25(x4573)+~P12(x4574,x4571,x4573)+~P12(x4572,x4575,x4573)+P12(f29(x4571,x4572,x4573),f29(x4574,x4575,x4573),f38(x4573,a1))
% 0.64/1.29 [489]~P25(x4893)+P12(x4891,x4892,x4893)+~P12(x4894,x4891,x4893)+~P12(f29(x4894,x4891,x4893),f29(x4895,x4892,x4893),f38(x4893,a1))
% 0.64/1.29 [490]~P25(x4903)+P12(x4901,x4902,x4903)+~P12(x4902,x4904,x4903)+~P12(f29(x4902,x4904,x4903),f29(x4901,x4905,x4903),f38(x4903,a1))
% 0.64/1.29 [590]~P13(x5902,x5905,x5903,x5904)+~P13(x5901,x5905,x5903,x5904)+~P13(x5901,f18(x5901,x5902,x5903,x5904),x5903,x5904)+P13(f18(x5901,x5902,x5903,x5904),x5905,x5903,x5904)
% 0.64/1.29 [553]~P4(x5534,x5535)+P4(f25(x5531,x5532),x5533)+~P27(f26(x5532,x5534,x5535))+~P4(f7(x5534,x5531,x5535,f38(x5533,a1)),x5533)
% 0.64/1.29 [599]~P14(x5994,x5993)+~P7(x5994,x5991,x5992,x5996,x5993,x5993)+P7(x5994,x5995,f27(x5991,x5992,x5993),f25(f25(x5994,x5995),x5996),x5993,x5993)+P27(f26(x5991,x5992,x5993))
% 0.64/1.29 [394]~P21(x3942)+~P4(x3943,x3942)+P12(f13(x3943,x3942),f13(x3941,x3942),x3942)+~P12(x3941,x3943,f38(x3942,a1))+E(x3941,f22(f38(x3942,a1)))
% 0.64/1.29 [395]~P21(x3952)+~P4(x3953,x3952)+P12(f12(x3951,x3952),f12(x3953,x3952),x3952)+~P12(x3951,x3953,f38(x3952,a1))+E(x3951,f22(f38(x3952,a1)))
% 0.64/1.29 [520]~P4(x5201,x5202)+~P14(x5203,x5202)+P27(f26(x5204,x5201,x5202))+E(x5201,f22(f38(x5202,a1)))+E(f31(f6(x5203,f27(x5204,x5201,x5202),x5202),x5202),f25(f25(x5203,x5204),f31(f6(x5203,x5201,x5202),x5202)))
% 0.64/1.29 [601]~P14(x6014,x6013)+~P7(x6014,x6011,x6012,x6016,x6013,x6013)+P7(x6014,x6015,f27(x6011,f4(x6012,f27(x6015,f22(f38(x6013,a1)),x6013),f38(x6013,a1)),x6013),x6016,x6013,x6013)+~P27(f26(x6015,x6012,x6013))+P27(f26(x6011,x6012,x6013))
% 0.64/1.29 [519]~P15(x5192)+~P4(x5191,x5192)+P12(x5193,x5194,x5192)+~P27(f26(x5194,x5191,x5192))+~P12(x5193,f31(f6(f14(x5192),x5191,x5192),x5192),x5192)+E(x5191,f22(f38(x5192,a1)))
% 0.64/1.29 [582]~P4(x5821,x5822)+~P4(x5823,x5822)+~P14(x5824,x5822)+E(x5821,f22(f38(x5822,a1)))+E(x5823,f22(f38(x5822,a1)))+E(f25(f25(x5824,f31(f6(x5824,x5823,x5822),x5822)),f31(f6(x5824,x5821,x5822),x5822)),f31(f6(x5824,f3(x5823,x5821,f38(x5822,a1)),x5822),x5822))+~E(f25(f25(f14(f38(x5822,a1)),x5823),x5821),f22(f38(x5822,a1)))
% 0.64/1.29 %EqnAxiom
% 0.64/1.29 [1]E(x11,x11)
% 0.64/1.29 [2]E(x22,x21)+~E(x21,x22)
% 0.64/1.29 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.64/1.29 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.64/1.29 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.64/1.29 [6]~E(x61,x62)+E(f21(x61,x63),f21(x62,x63))
% 0.64/1.29 [7]~E(x71,x72)+E(f21(x73,x71),f21(x73,x72))
% 0.64/1.29 [8]~E(x81,x82)+E(f38(x81,x83),f38(x82,x83))
% 0.64/1.29 [9]~E(x91,x92)+E(f38(x93,x91),f38(x93,x92))
% 0.64/1.29 [10]~E(x101,x102)+E(f22(x101),f22(x102))
% 0.64/1.29 [11]~E(x111,x112)+E(f27(x111,x113,x114),f27(x112,x113,x114))
% 0.64/1.29 [12]~E(x121,x122)+E(f27(x123,x121,x124),f27(x123,x122,x124))
% 0.64/1.29 [13]~E(x131,x132)+E(f27(x133,x134,x131),f27(x133,x134,x132))
% 0.64/1.29 [14]~E(x141,x142)+E(f25(x141,x143),f25(x142,x143))
% 0.64/1.29 [15]~E(x151,x152)+E(f25(x153,x151),f25(x153,x152))
% 0.64/1.29 [16]~E(x161,x162)+E(f26(x161,x163,x164),f26(x162,x163,x164))
% 0.64/1.29 [17]~E(x171,x172)+E(f26(x173,x171,x174),f26(x173,x172,x174))
% 0.64/1.29 [18]~E(x181,x182)+E(f26(x183,x184,x181),f26(x183,x184,x182))
% 0.64/1.29 [19]~E(x191,x192)+E(f3(x191,x193,x194),f3(x192,x193,x194))
% 0.64/1.29 [20]~E(x201,x202)+E(f3(x203,x201,x204),f3(x203,x202,x204))
% 0.64/1.29 [21]~E(x211,x212)+E(f3(x213,x214,x211),f3(x213,x214,x212))
% 0.64/1.29 [22]~E(x221,x222)+E(f17(x221,x223,x224),f17(x222,x223,x224))
% 0.64/1.29 [23]~E(x231,x232)+E(f17(x233,x231,x234),f17(x233,x232,x234))
% 0.64/1.29 [24]~E(x241,x242)+E(f17(x243,x244,x241),f17(x243,x244,x242))
% 0.64/1.29 [25]~E(x251,x252)+E(f4(x251,x253,x254),f4(x252,x253,x254))
% 0.64/1.29 [26]~E(x261,x262)+E(f4(x263,x261,x264),f4(x263,x262,x264))
% 0.64/1.29 [27]~E(x271,x272)+E(f4(x273,x274,x271),f4(x273,x274,x272))
% 0.64/1.29 [28]~E(x281,x282)+E(f9(x281,x283,x284),f9(x282,x283,x284))
% 0.64/1.29 [29]~E(x291,x292)+E(f9(x293,x291,x294),f9(x293,x292,x294))
% 0.64/1.29 [30]~E(x301,x302)+E(f9(x303,x304,x301),f9(x303,x304,x302))
% 0.64/1.29 [31]~E(x311,x312)+E(f15(x311),f15(x312))
% 0.64/1.29 [32]~E(x321,x322)+E(f18(x321,x323,x324,x325),f18(x322,x323,x324,x325))
% 0.64/1.29 [33]~E(x331,x332)+E(f18(x333,x331,x334,x335),f18(x333,x332,x334,x335))
% 0.64/1.29 [34]~E(x341,x342)+E(f18(x343,x344,x341,x345),f18(x343,x344,x342,x345))
% 0.64/1.29 [35]~E(x351,x352)+E(f18(x353,x354,x355,x351),f18(x353,x354,x355,x352))
% 0.64/1.29 [36]~E(x361,x362)+E(f14(x361),f14(x362))
% 0.64/1.29 [37]~E(x371,x372)+E(f31(x371,x373),f31(x372,x373))
% 0.64/1.29 [38]~E(x381,x382)+E(f31(x383,x381),f31(x383,x382))
% 0.64/1.29 [39]~E(x391,x392)+E(f30(x391,x393,x394,x395),f30(x392,x393,x394,x395))
% 0.64/1.29 [40]~E(x401,x402)+E(f30(x403,x401,x404,x405),f30(x403,x402,x404,x405))
% 0.64/1.29 [41]~E(x411,x412)+E(f30(x413,x414,x411,x415),f30(x413,x414,x412,x415))
% 0.64/1.29 [42]~E(x421,x422)+E(f30(x423,x424,x425,x421),f30(x423,x424,x425,x422))
% 0.64/1.29 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.64/1.29 [44]~E(x441,x442)+E(f6(x441,x443,x444),f6(x442,x443,x444))
% 0.64/1.29 [45]~E(x451,x452)+E(f6(x453,x451,x454),f6(x453,x452,x454))
% 0.64/1.29 [46]~E(x461,x462)+E(f6(x463,x464,x461),f6(x463,x464,x462))
% 0.64/1.29 [47]~E(x471,x472)+E(f32(x471,x473,x474,x475),f32(x472,x473,x474,x475))
% 0.64/1.29 [48]~E(x481,x482)+E(f32(x483,x481,x484,x485),f32(x483,x482,x484,x485))
% 0.64/1.29 [49]~E(x491,x492)+E(f32(x493,x494,x491,x495),f32(x493,x494,x492,x495))
% 0.64/1.29 [50]~E(x501,x502)+E(f32(x503,x504,x505,x501),f32(x503,x504,x505,x502))
% 0.64/1.29 [51]~E(x511,x512)+E(f7(x511,x513,x514,x515),f7(x512,x513,x514,x515))
% 0.64/1.29 [52]~E(x521,x522)+E(f7(x523,x521,x524,x525),f7(x523,x522,x524,x525))
% 0.64/1.29 [53]~E(x531,x532)+E(f7(x533,x534,x531,x535),f7(x533,x534,x532,x535))
% 0.64/1.29 [54]~E(x541,x542)+E(f7(x543,x544,x545,x541),f7(x543,x544,x545,x542))
% 0.64/1.29 [55]~E(x551,x552)+E(f8(x551),f8(x552))
% 0.64/1.29 [56]~E(x561,x562)+E(f20(x561),f20(x562))
% 0.64/1.29 [57]~E(x571,x572)+E(f19(x571,x573),f19(x572,x573))
% 0.64/1.29 [58]~E(x581,x582)+E(f19(x583,x581),f19(x583,x582))
% 0.64/1.29 [59]~E(x591,x592)+E(f16(x591,x593,x594,x595),f16(x592,x593,x594,x595))
% 0.64/1.29 [60]~E(x601,x602)+E(f16(x603,x601,x604,x605),f16(x603,x602,x604,x605))
% 0.64/1.29 [61]~E(x611,x612)+E(f16(x613,x614,x611,x615),f16(x613,x614,x612,x615))
% 0.64/1.29 [62]~E(x621,x622)+E(f16(x623,x624,x625,x621),f16(x623,x624,x625,x622))
% 0.64/1.29 [63]~E(x631,x632)+E(f11(x631,x633),f11(x632,x633))
% 0.64/1.29 [64]~E(x641,x642)+E(f11(x643,x641),f11(x643,x642))
% 0.64/1.29 [65]~E(x651,x652)+E(f12(x651,x653),f12(x652,x653))
% 0.64/1.29 [66]~E(x661,x662)+E(f12(x663,x661),f12(x663,x662))
% 0.64/1.29 [67]~E(x671,x672)+E(f28(x671,x673),f28(x672,x673))
% 0.64/1.29 [68]~E(x681,x682)+E(f28(x683,x681),f28(x683,x682))
% 0.64/1.29 [69]~E(x691,x692)+E(f10(x691,x693),f10(x692,x693))
% 0.64/1.29 [70]~E(x701,x702)+E(f10(x703,x701),f10(x703,x702))
% 0.64/1.29 [71]~E(x711,x712)+E(f29(x711,x713,x714),f29(x712,x713,x714))
% 0.64/1.29 [72]~E(x721,x722)+E(f29(x723,x721,x724),f29(x723,x722,x724))
% 0.64/1.29 [73]~E(x731,x732)+E(f29(x733,x734,x731),f29(x733,x734,x732))
% 0.64/1.29 [74]~E(x741,x742)+E(f13(x741,x743),f13(x742,x743))
% 0.64/1.29 [75]~E(x751,x752)+E(f13(x753,x751),f13(x753,x752))
% 0.64/1.29 [76]~E(x761,x762)+E(f36(x761),f36(x762))
% 0.64/1.29 [77]~E(x771,x772)+E(f41(x771),f41(x772))
% 0.64/1.29 [78]~P1(x781)+P1(x782)+~E(x781,x782)
% 0.64/1.29 [79]~P3(x791)+P3(x792)+~E(x791,x792)
% 0.64/1.29 [80]~P9(x801)+P9(x802)+~E(x801,x802)
% 0.64/1.29 [81]~P27(x811)+P27(x812)+~E(x811,x812)
% 0.64/1.29 [82]~P15(x821)+P15(x822)+~E(x821,x822)
% 0.64/1.29 [83]P12(x832,x833,x834)+~E(x831,x832)+~P12(x831,x833,x834)
% 0.64/1.29 [84]P12(x843,x842,x844)+~E(x841,x842)+~P12(x843,x841,x844)
% 0.64/1.29 [85]P12(x853,x854,x852)+~E(x851,x852)+~P12(x853,x854,x851)
% 0.64/1.29 [86]~P20(x861)+P20(x862)+~E(x861,x862)
% 0.64/1.29 [87]P4(x872,x873)+~E(x871,x872)+~P4(x871,x873)
% 0.64/1.29 [88]P4(x883,x882)+~E(x881,x882)+~P4(x883,x881)
% 0.64/1.29 [89]~P16(x891)+P16(x892)+~E(x891,x892)
% 0.64/1.29 [90]~P11(x901)+P11(x902)+~E(x901,x902)
% 0.64/1.29 [91]~P10(x911)+P10(x912)+~E(x911,x912)
% 0.64/1.29 [92]~P17(x921)+P17(x922)+~E(x921,x922)
% 0.64/1.29 [93]~P2(x931)+P2(x932)+~E(x931,x932)
% 0.64/1.29 [94]~P21(x941)+P21(x942)+~E(x941,x942)
% 0.64/1.29 [95]~P18(x951)+P18(x952)+~E(x951,x952)
% 0.64/1.29 [96]P14(x962,x963)+~E(x961,x962)+~P14(x961,x963)
% 0.64/1.29 [97]P14(x973,x972)+~E(x971,x972)+~P14(x973,x971)
% 0.64/1.29 [98]~P25(x981)+P25(x982)+~E(x981,x982)
% 0.64/1.29 [99]P6(x992,x993,x994)+~E(x991,x992)+~P6(x991,x993,x994)
% 0.64/1.29 [100]P6(x1003,x1002,x1004)+~E(x1001,x1002)+~P6(x1003,x1001,x1004)
% 0.64/1.29 [101]P6(x1013,x1014,x1012)+~E(x1011,x1012)+~P6(x1013,x1014,x1011)
% 0.64/1.29 [102]P7(x1022,x1023,x1024,x1025,x1026,x1027)+~E(x1021,x1022)+~P7(x1021,x1023,x1024,x1025,x1026,x1027)
% 0.64/1.29 [103]P7(x1033,x1032,x1034,x1035,x1036,x1037)+~E(x1031,x1032)+~P7(x1033,x1031,x1034,x1035,x1036,x1037)
% 0.64/1.29 [104]P7(x1043,x1044,x1042,x1045,x1046,x1047)+~E(x1041,x1042)+~P7(x1043,x1044,x1041,x1045,x1046,x1047)
% 0.64/1.29 [105]P7(x1053,x1054,x1055,x1052,x1056,x1057)+~E(x1051,x1052)+~P7(x1053,x1054,x1055,x1051,x1056,x1057)
% 0.64/1.29 [106]P7(x1063,x1064,x1065,x1066,x1062,x1067)+~E(x1061,x1062)+~P7(x1063,x1064,x1065,x1066,x1061,x1067)
% 0.64/1.29 [107]P7(x1073,x1074,x1075,x1076,x1077,x1072)+~E(x1071,x1072)+~P7(x1073,x1074,x1075,x1076,x1077,x1071)
% 0.64/1.29 [108]~P19(x1081)+P19(x1082)+~E(x1081,x1082)
% 0.64/1.29 [109]~P22(x1091)+P22(x1092)+~E(x1091,x1092)
% 0.64/1.29 [110]~P26(x1101)+P26(x1102)+~E(x1101,x1102)
% 0.64/1.29 [111]P5(x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x11110)+~E(x1111,x1112)+~P5(x1111,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x11110)
% 0.64/1.29 [112]P5(x1123,x1122,x1124,x1125,x1126,x1127,x1128,x1129,x11210)+~E(x1121,x1122)+~P5(x1123,x1121,x1124,x1125,x1126,x1127,x1128,x1129,x11210)
% 0.64/1.29 [113]P5(x1133,x1134,x1132,x1135,x1136,x1137,x1138,x1139,x11310)+~E(x1131,x1132)+~P5(x1133,x1134,x1131,x1135,x1136,x1137,x1138,x1139,x11310)
% 0.64/1.29 [114]P5(x1143,x1144,x1145,x1142,x1146,x1147,x1148,x1149,x11410)+~E(x1141,x1142)+~P5(x1143,x1144,x1145,x1141,x1146,x1147,x1148,x1149,x11410)
% 0.64/1.29 [115]P5(x1153,x1154,x1155,x1156,x1152,x1157,x1158,x1159,x11510)+~E(x1151,x1152)+~P5(x1153,x1154,x1155,x1156,x1151,x1157,x1158,x1159,x11510)
% 0.64/1.29 [116]P5(x1163,x1164,x1165,x1166,x1167,x1162,x1168,x1169,x11610)+~E(x1161,x1162)+~P5(x1163,x1164,x1165,x1166,x1167,x1161,x1168,x1169,x11610)
% 0.64/1.29 [117]P5(x1173,x1174,x1175,x1176,x1177,x1178,x1172,x1179,x11710)+~E(x1171,x1172)+~P5(x1173,x1174,x1175,x1176,x1177,x1178,x1171,x1179,x11710)
% 0.64/1.29 [118]P5(x1183,x1184,x1185,x1186,x1187,x1188,x1189,x1182,x11810)+~E(x1181,x1182)+~P5(x1183,x1184,x1185,x1186,x1187,x1188,x1189,x1181,x11810)
% 0.64/1.29 [119]P5(x1193,x1194,x1195,x1196,x1197,x1198,x1199,x11910,x1192)+~E(x1191,x1192)+~P5(x1193,x1194,x1195,x1196,x1197,x1198,x1199,x11910,x1191)
% 0.64/1.29 [120]P13(x1202,x1203,x1204,x1205)+~E(x1201,x1202)+~P13(x1201,x1203,x1204,x1205)
% 0.64/1.29 [121]P13(x1213,x1212,x1214,x1215)+~E(x1211,x1212)+~P13(x1213,x1211,x1214,x1215)
% 0.64/1.29 [122]P13(x1223,x1224,x1222,x1225)+~E(x1221,x1222)+~P13(x1223,x1224,x1221,x1225)
% 0.64/1.29 [123]P13(x1233,x1234,x1235,x1232)+~E(x1231,x1232)+~P13(x1233,x1234,x1235,x1231)
% 0.64/1.29 [124]~P23(x1241)+P23(x1242)+~E(x1241,x1242)
% 0.64/1.29 [125]~P24(x1251)+P24(x1252)+~E(x1251,x1252)
% 0.64/1.29 [126]P8(x1262,x1263,x1264)+~E(x1261,x1262)+~P8(x1261,x1263,x1264)
% 0.64/1.29 [127]P8(x1273,x1272,x1274)+~E(x1271,x1272)+~P8(x1273,x1271,x1274)
% 0.64/1.29 [128]P8(x1283,x1284,x1282)+~E(x1281,x1282)+~P8(x1283,x1284,x1281)
% 0.64/1.29
% 0.64/1.29 %-------------------------------------------
% 0.64/1.30 cnf(616,plain,
% 0.64/1.30 (E(f21(f2(x6161,x6162),x6162),x6161)),
% 0.64/1.30 inference(rename_variables,[],[154])).
% 0.64/1.30 cnf(621,plain,
% 0.64/1.30 (P13(x6211,f18(x6212,x6211,x6213,x6214),x6213,x6214)),
% 0.64/1.30 inference(rename_variables,[],[218])).
% 0.64/1.30 cnf(628,plain,
% 0.64/1.30 (P12(f4(x6281,x6282,f38(x6283,a1)),x6281,f38(x6283,a1))),
% 0.64/1.30 inference(rename_variables,[],[180])).
% 0.64/1.30 cnf(631,plain,
% 0.64/1.30 (P12(f4(x6311,x6312,f38(x6313,a1)),x6311,f38(x6313,a1))),
% 0.64/1.30 inference(rename_variables,[],[180])).
% 0.64/1.30 cnf(634,plain,
% 0.64/1.30 (P12(x6341,f27(x6342,x6341,x6343),f38(x6343,a1))),
% 0.64/1.30 inference(rename_variables,[],[171])).
% 0.64/1.30 cnf(637,plain,
% 0.64/1.30 (P12(x6371,f27(x6372,x6371,x6373),f38(x6373,a1))),
% 0.64/1.30 inference(rename_variables,[],[171])).
% 0.64/1.30 cnf(640,plain,
% 0.64/1.30 (P12(x6401,f27(x6402,x6401,x6403),f38(x6403,a1))),
% 0.64/1.30 inference(rename_variables,[],[171])).
% 0.64/1.30 cnf(656,plain,
% 0.64/1.30 (~P27(f25(f22(f38(x6561,a1)),x6562))),
% 0.64/1.30 inference(rename_variables,[],[259])).
% 0.64/1.30 cnf(659,plain,
% 0.64/1.30 (P27(f25(f27(x6591,x6592,x6593),x6591))),
% 0.64/1.30 inference(rename_variables,[],[181])).
% 0.64/1.30 cnf(674,plain,
% 0.64/1.30 (~P27(f26(x6741,f22(f38(x6742,a1)),x6742))),
% 0.64/1.30 inference(rename_variables,[],[262])).
% 0.64/1.30 cnf(677,plain,
% 0.64/1.30 (P12(x6771,x6771,f38(x6772,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(680,plain,
% 0.64/1.30 (P12(x6801,x6801,f38(x6802,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(712,plain,
% 0.64/1.30 (E(f21(f2(x7121,x7122),x7122),x7121)),
% 0.64/1.30 inference(rename_variables,[],[154])).
% 0.64/1.30 cnf(718,plain,
% 0.64/1.30 (P12(f22(f38(x7181,a1)),x7182,f38(x7181,a1))),
% 0.64/1.30 inference(rename_variables,[],[161])).
% 0.64/1.30 cnf(724,plain,
% 0.64/1.30 (P12(x7241,x7241,f38(x7242,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(731,plain,
% 0.64/1.30 (P27(f25(f27(x7311,x7312,x7313),x7311))),
% 0.64/1.30 inference(rename_variables,[],[181])).
% 0.64/1.30 cnf(740,plain,
% 0.64/1.30 (P27(f26(x7401,f27(x7401,x7402,x7403),x7403))),
% 0.64/1.30 inference(rename_variables,[],[194])).
% 0.64/1.30 cnf(743,plain,
% 0.64/1.30 (P27(f26(x7431,f27(x7431,x7432,x7433),x7433))),
% 0.64/1.30 inference(rename_variables,[],[194])).
% 0.64/1.30 cnf(746,plain,
% 0.64/1.30 (~P27(f26(x7461,f22(f38(x7462,a1)),x7462))),
% 0.64/1.30 inference(rename_variables,[],[262])).
% 0.64/1.30 cnf(749,plain,
% 0.64/1.30 (P12(x7491,x7491,f38(x7492,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(754,plain,
% 0.64/1.30 (~P27(f26(x7541,f22(f38(x7542,a1)),x7542))),
% 0.64/1.30 inference(rename_variables,[],[262])).
% 0.64/1.30 cnf(761,plain,
% 0.64/1.30 (P12(x7611,x7611,f38(x7612,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(767,plain,
% 0.64/1.30 (P12(x7671,x7671,f38(x7672,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(771,plain,
% 0.64/1.30 (P12(x7711,x7711,f38(x7712,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(784,plain,
% 0.64/1.30 (P12(x7841,x7841,f38(x7842,a1))),
% 0.64/1.30 inference(rename_variables,[],[157])).
% 0.64/1.30 cnf(979,plain,
% 0.64/1.30 ($false),
% 0.64/1.30 inference(scs_inference,[],[129,182,130,131,133,134,135,136,137,139,140,143,145,146,147,148,149,151,160,185,168,263,218,621,157,677,680,724,749,761,767,771,784,250,171,634,637,640,254,154,616,712,155,194,740,743,181,659,731,178,180,628,631,242,161,718,165,257,258,262,674,746,754,259,656,241,162,217,191,237,223,2,268,295,508,577,456,366,501,500,454,453,431,398,350,347,342,317,486,586,557,522,475,444,439,365,428,589,484,483,548,581,123,122,121,120,110,109,108,106,105,103,101,98,95,92,91,90,89,88,86,84,83,82,81,80,3,376,319,542,334,344,509,445,385,384,443,565,541,564,598,463,494,576,556,372,371,434,409,490,489,590,595,306,286,285,596,330,329,328,327,323,322,321,320,288,287,284,280,279,278,277,276,275,274,273,272,271,270,267,296,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,587,530,516,515,514,471,451,420,414,413,412,389,388,340,333,332,331,325,324,309,303,302,301,300,292,290,289,283,269]),
% 0.64/1.30 ['proof']).
% 0.64/1.30 % SZS output end Proof
% 0.64/1.30 % Total time :0.550000s
%------------------------------------------------------------------------------