TSTP Solution File: SWV900-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV900-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 21:35:43 EDT 2023
% Result : Unsatisfiable 0.70s 0.85s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV900-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 06:37:13 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 % File :CSE---1.6
% 0.70/0.81 % Problem :theBenchmark
% 0.70/0.81 % Transform :cnf
% 0.70/0.81 % Format :tptp:raw
% 0.70/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.81
% 0.70/0.81 % Result :Theorem 0.040000s
% 0.70/0.81 % Output :CNFRefutation 0.040000s
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 %------------------------------------------------------------------------------
% 0.70/0.81 % File : SWV900-1 : TPTP v8.1.2. Released v4.1.0.
% 0.70/0.81 % Domain : Software Verification
% 0.70/0.81 % Problem : Hoare logic with procedures 438_1
% 0.70/0.81 % Version : Especial.
% 0.70/0.81 % English : Completeness is taken relative to completeness of the underlying
% 0.70/0.81 % logic. Two versions of completeness proof: nested single recursion
% 0.70/0.81 % and simultaneous recursion in call rule.
% 0.70/0.81
% 0.70/0.81 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.70/0.81 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.70/0.81 % Source : [Nip10]
% 0.70/0.81 % Names : Hoare-438_1 [Nip10]
% 0.70/0.81
% 0.70/0.81 % Status : Unsatisfiable
% 0.70/0.81 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0
% 0.70/0.81 % Syntax : Number of clauses : 580 ( 157 unt; 38 nHn; 289 RR)
% 0.70/0.81 % Number of literals : 1211 ( 343 equ; 614 neg)
% 0.70/0.81 % Maximal clause size : 5 ( 2 avg)
% 0.70/0.81 % Maximal term depth : 10 ( 2 avg)
% 0.70/0.82 % Number of predicates : 32 ( 31 usr; 2 prp; 0-4 aty)
% 0.70/0.82 % Number of functors : 56 ( 56 usr; 11 con; 0-6 aty)
% 0.70/0.82 % Number of variables : 1824 ( 224 sgn)
% 0.70/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.70/0.82
% 0.70/0.82 % Comments :
% 0.70/0.82 %------------------------------------------------------------------------------
% 0.70/0.82 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_compl__unique_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.70/0.82 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__Diff__single_0,axiom,
% 0.70/0.82 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) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_ivl__disj__int_I5_J_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Compl__lessThan_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.82 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_k,T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_distrib__inf__le_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a)),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a))) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_lessThan__eq__iff_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.82 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 0.70/0.82 | V_x = V_y ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Diff__partition_0,axiom,
% 0.70/0.82 ( 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
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_inf__commute_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Int__commute_0,axiom,
% 0.70/0.82 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_atMost__Int__atLeast_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__dom_0,axiom,
% 0.70/0.82 ( hAPP(V_f,V_x) != c_Option_Ooption_OSome(V_y,T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_IntE_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.70/0.82 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_IntE_1,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.82 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_sup__left__commute_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_sup__assoc_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__assoc_0,axiom,
% 0.70/0.82 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)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__left__commute_0,axiom,
% 0.70/0.82 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)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_diff__eq_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Diff__eq_0,axiom,
% 0.70/0.82 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Max__singleton_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.82 | 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 ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_eq__eqI_0,axiom,
% 0.70/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.70/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.70/0.82 | V_x_H = V_y_H ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_eq__eqI_1,axiom,
% 0.70/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.70/0.82 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.70/0.82 | V_xa = V_y ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_option_Osimps_I2_J_0,axiom,
% 0.70/0.82 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_not__Some__eq_1,axiom,
% 0.70/0.82 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_rangeI_0,axiom,
% 0.70/0.82 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_finite__pointwise_1,axiom,
% 0.70/0.82 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(V_P,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_c0,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_Q,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | ~ c_Finite__Set_Ofinite(V_U,t_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_finite__pointwise_0,axiom,
% 0.70/0.82 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_c0,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
% 0.70/0.82 | ~ c_Finite__Set_Ofinite(V_U,t_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__Int__crazy_0,axiom,
% 0.70/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Compl__partition2_0,axiom,
% 0.70/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Compl__partition_0,axiom,
% 0.70/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_compl__sup__top_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_sup__compl__top_0,axiom,
% 0.70/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.70/0.82 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.82 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Diff__iff_2,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.82 | hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_DiffI_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.82 | hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimage__Compl_0,axiom,
% 0.70/0.82 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__subset_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_ivl__disj__un_I11_J_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_l,T_a)
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__code_2,axiom,
% 0.70/0.82 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.70/0.82 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__image_0,axiom,
% 0.70/0.82 ( 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)
% 0.70/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_subset__insert__iff_2,axiom,
% 0.70/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.82 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_subset__insert__iff_1,axiom,
% 0.70/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.82 | hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_subset__insert_1,axiom,
% 0.70/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.82 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_subset__insert_0,axiom,
% 0.70/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.82 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_insert__ident_0,axiom,
% 0.70/0.82 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.70/0.82 | hBOOL(c_in(V_x,V_B,T_a))
% 0.70/0.82 | hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.82 | V_A = V_B ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Int__insert__right_1,axiom,
% 0.70/0.82 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.70/0.82 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Int__insert__left_1,axiom,
% 0.70/0.82 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.70/0.82 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.70/0.82 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)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.70/0.82 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)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_fun__diff__def_0,axiom,
% 0.70/0.82 ( ~ class_HOL_Ominus(T_b)
% 0.70/0.82 | 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) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_Un__Diff_0,axiom,
% 0.70/0.82 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)) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_ivl__disj__int_I14_J_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.82 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_ivl__disj__un_I9_J_0,axiom,
% 0.70/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 0.70/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimage__eq_1,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 0.70/0.82 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimageI2_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 0.70/0.82 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimageI_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 0.70/0.82 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimageE_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.70/0.82 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_vimageD_0,axiom,
% 0.70/0.82 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.70/0.82 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__commute_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__commute_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__Int_0,axiom,
% 0.70/0.83 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_compl__inf_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__absorb_0,axiom,
% 0.70/0.83 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.70/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__is__Un_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__left__absorb_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__left__idem_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | 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) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | 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) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__Un_0,axiom,
% 0.70/0.83 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_compl__sup_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__disjoint_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite_0,axiom,
% 0.70/0.83 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.70/0.83 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I10_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_vimage__Un_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Sup__binary_0,axiom,
% 0.70/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.83 | 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) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_MGT__def_0,axiom,
% 0.70/0.83 hAPP(c_Hoare__Mirabelle_OMGT,V_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),V_c),c_Natural_Oevalc(V_c)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I7_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_evaln__elim__cases_I6_J_0,axiom,
% 0.70/0.83 ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))
% 0.70/0.83 | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__Compl_0,axiom,
% 0.70/0.83 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_single__Diff__lessThan_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__Diff__if_1,axiom,
% 0.70/0.83 ( 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)
% 0.70/0.83 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf1E_1,axiom,
% 0.70/0.83 ( hBOOL(hAPP(V_B,V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf1E_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(V_A,V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Sup__UNIV_0,axiom,
% 0.70/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.83 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.70/0.83 ( 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
% 0.70/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__subset__conv_1,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__subset__conv_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_double__complement_0,axiom,
% 0.70/0.83 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_minus__minus_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_double__compl_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_equation__minus__iff_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.70/0.83 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_equation__minus__iff_1,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.70/0.83 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_minus__equation__iff_1,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_minus__diff__eq_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_vimage__Int_0,axiom,
% 0.70/0.83 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Int_1,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Int_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_evaln__evalc_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 0.70/0.83 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_eval__eq_1,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 0.70/0.83 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__eqI_1,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.83 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__eqI_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.83 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__supE_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__supE_1,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__supI1_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__supI2_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__sup__iff_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__sup__iff_1,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_top__greatest_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Otop(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__le1_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__le2_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__infI_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__inf__iff_2,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__greatest_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__iff__sup_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__iff__sup_1,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__absorb1_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__imp__neg__le_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_neg__le__iff__le_0,axiom,
% 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__iff__inf_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__iff__inf_1,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__absorb2_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_le__supI_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__idemp_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_COMBS__def_0,axiom,
% 0.70/0.83 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_COMBK__def_0,axiom,
% 0.70/0.83 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_mem__def_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(V_S,V_x))
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_mem__def_1,axiom,
% 0.70/0.83 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.70/0.83 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__commute_0,axiom,
% 0.70/0.83 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) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I13_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I22_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insertCI_1,axiom,
% 0.70/0.83 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insertI1_0,axiom,
% 0.70/0.83 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__iff_1,axiom,
% 0.70/0.83 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__idem_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__absorb_0,axiom,
% 0.70/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Int__Un__distrib_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__fun__eq_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_b)
% 0.70/0.83 | 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) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__triv_0,axiom,
% 0.70/0.83 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.83 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I5_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_singletonE_0,axiom,
% 0.70/0.83 ( V_b = V_a
% 0.70/0.83 | ~ 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)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_image__constant_0,axiom,
% 0.70/0.83 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_subset__insert__iff_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_subset__insert__iff_3,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_diff__single__insert_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__Diff1_0,axiom,
% 0.70/0.83 ( 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))
% 0.70/0.83 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__atLeast_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_k,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_dom__minus_0,axiom,
% 0.70/0.83 ( hAPP(V_f,V_x) != c_Option_Ooption_ONone(T_a)
% 0.70/0.83 | 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)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I8_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ComplD_0,axiom,
% 0.70/0.83 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ComplI_0,axiom,
% 0.70/0.83 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.83 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__compl__bot_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_compl__inf__bot_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__disjoint_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__disjoint2_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Diff_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__insert__left_0,axiom,
% 0.70/0.83 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) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__insert__right_0,axiom,
% 0.70/0.83 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) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_vimage__Diff_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I20_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I3_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_vimage__UNIV_0,axiom,
% 0.70/0.83 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Sup__insert_0,axiom,
% 0.70/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.83 | 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) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__top__right_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup__top__left_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__UNIV__left_0,axiom,
% 0.70/0.83 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__UNIV__right_0,axiom,
% 0.70/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.70/0.83 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__insert_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Diff__insert2_0,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Diff2_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Diff2_1,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.70/0.83 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)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__inter__insert_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_triple__valid__Suc_0,axiom,
% 0.70/0.83 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)
% 0.70/0.83 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_greaterThan__eq__iff_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)
% 0.70/0.83 | V_x = V_y ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__absorb2_0,axiom,
% 0.70/0.83 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) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_map__le__refl_0,axiom,
% 0.70/0.83 c_Map_Omap__le(V_f,V_f,T_a,T_b) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_map__le__trans_0,axiom,
% 0.70/0.83 ( c_Map_Omap__le(V_m1,V_m3,T_a,T_b)
% 0.70/0.83 | ~ c_Map_Omap__le(V_m2,V_m3,T_a,T_b)
% 0.70/0.83 | ~ c_Map_Omap__le(V_m1,V_m2,T_a,T_b) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_insert__code_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(V_A,V_x))
% 0.70/0.83 | V_y = V_x
% 0.70/0.83 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_DiffE_0,axiom,
% 0.70/0.83 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_DiffE_1,axiom,
% 0.70/0.83 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_atLeast__iff_0,axiom,
% 0.70/0.83 ( ~ class_HOL_Oord(T_a)
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_k),V_i))
% 0.70/0.83 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_atLeast__iff_1,axiom,
% 0.70/0.83 ( ~ class_HOL_Oord(T_a)
% 0.70/0.83 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_k),V_i)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__insert_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__insert_1,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__int_I6_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_map__le__def_0,axiom,
% 0.70/0.83 ( hAPP(V_m_092_060_094isub_0621,V_x) = hAPP(V_m_092_060_094isub_0622,V_x)
% 0.70/0.83 | ~ hBOOL(c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a))
% 0.70/0.83 | ~ c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Un_2,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__UnI_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.70/0.83 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.70/0.83 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.70/0.83 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_UNIV__I_0,axiom,
% 0.70/0.83 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_option_Osimps_I3_J_0,axiom,
% 0.70/0.83 c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_not__None__eq_1,axiom,
% 0.70/0.83 c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_option_Oinject_0,axiom,
% 0.70/0.83 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
% 0.70/0.83 | V_a = V_a_H ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_domI_0,axiom,
% 0.70/0.83 ( hAPP(V_m,V_a) != c_Option_Ooption_OSome(V_b,T_a)
% 0.70/0.83 | hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 0.70/0.83 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Suc__inject_0,axiom,
% 0.70/0.83 ( c_Suc(V_x) != c_Suc(V_y)
% 0.70/0.83 | V_x = V_y ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_nat_Oinject_0,axiom,
% 0.70/0.83 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.70/0.83 | V_nat = V_nat_H ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup1E_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(V_B,V_x))
% 0.70/0.83 | hBOOL(hAPP(V_A,V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup1CI_0,axiom,
% 0.70/0.83 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_sup1CI_1,axiom,
% 0.70/0.83 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.70/0.83 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_UnE_0,axiom,
% 0.70/0.83 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.83 | hBOOL(c_in(V_c,V_A,T_a))
% 0.70/0.83 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__left__commute_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_inf__assoc_0,axiom,
% 0.70/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Int__assoc_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Int__left__commute_0,axiom,
% 0.70/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.70/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_domIff_0,axiom,
% 0.70/0.83 ( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)
% 0.70/0.83 | ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_domIff_1,axiom,
% 0.70/0.83 ( hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))
% 0.70/0.83 | hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Min__singleton_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.83 | 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 ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Un_0,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_finite__Un_1,axiom,
% 0.70/0.83 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.70/0.83 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(cls_Compl__atMost_0,axiom,
% 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_k,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__eq__top__eq2_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.70/0.84 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__ge1_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__ge2_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__least_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__sup__iff_2,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__infE_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__infE_1,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__infI1_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__infI2_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__inf__iff_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__inf__iff_1,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__minus__iff_0,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__minus__iff_1,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_minus__le__iff_0,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_minus__le__iff_1,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__bot__left_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__bot__right_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__bot__left_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__bot__right_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.70/0.84 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.70/0.84 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__empty_0,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__empty_2,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ex__in__conv_0,axiom,
% 0.70/0.84 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ball__empty_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(V_P,V_x))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_empty__iff_0,axiom,
% 0.70/0.84 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_emptyE_0,axiom,
% 0.70/0.84 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_empty__not__insert_0,axiom,
% 0.70/0.84 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | V_b = V_c
% 0.70/0.84 | V_b = V_d ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | V_a = V_d
% 0.70/0.84 | V_b = V_d ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | V_b = V_c
% 0.70/0.84 | V_a = V_c ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | V_a = V_d
% 0.70/0.84 | V_a = V_c ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_UNIV__not__empty_0,axiom,
% 0.70/0.84 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_empty__Diff_0,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__empty__right_0,axiom,
% 0.70/0.84 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 ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__empty__left_0,axiom,
% 0.70/0.84 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 ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__cancel_0,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__empty_0,axiom,
% 0.70/0.84 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 ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite_OemptyI_0,axiom,
% 0.70/0.84 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__empty__right_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__empty__left_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__not__empty_0,axiom,
% 0.70/0.84 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.70/0.84 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) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_singleton__inject_0,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | V_a = V_b ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_bex__empty_0,axiom,
% 0.70/0.84 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__empty_1,axiom,
% 0.70/0.84 ( 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))
% 0.70/0.84 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__empty_0,axiom,
% 0.70/0.84 ( 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))
% 0.70/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__range__imageI_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__insert__iff_4,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__constant__conv_1,axiom,
% 0.70/0.84 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_double__diff_0,axiom,
% 0.70/0.84 ( 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
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_rev__finite__subset_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__subset_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__iff_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_set__rev__mp_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subsetD_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_set__mp_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__subset__iff_1,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__subset__iff_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__UNIV_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__subset__iff_2,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__greatest_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__lower2_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_B)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__lower1_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(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_C,V_D,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__Un__eq_1,axiom,
% 0.70/0.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__absorb2_0,axiom,
% 0.70/0.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__absorb1_0,axiom,
% 0.70/0.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(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_C,V_D,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__insertI_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__anti__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_subset__insertI2_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__subset_1,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__absorb2_0,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__absorb1_0,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__subset__iff_2,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__upper2_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__upper1_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__least_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__subset_0,axiom,
% 0.70/0.84 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__mono_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Ovimage(V_f,V_A,T_b,T_a)),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__subset__iff_1,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__subset__iff_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__Un_0,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__insert_0,axiom,
% 0.70/0.84 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) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__imageI_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_rev__image__eqI_0,axiom,
% 0.70/0.84 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.70/0.84 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__iff_2,axiom,
% 0.70/0.84 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.70/0.84 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__eqI_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_imageI_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Body__sound__lemma_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_derivs__insertD_1,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_hoare__sound_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__eq__top__eq1_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.70/0.84 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_compl__top__eq_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__UNIV__eq_0,axiom,
% 0.70/0.84 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atMost__iff_0,axiom,
% 0.70/0.84 ( ~ class_HOL_Oord(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_k))
% 0.70/0.84 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atMost__iff_1,axiom,
% 0.70/0.84 ( ~ class_HOL_Oord(T_a)
% 0.70/0.84 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_k)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I1_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I9_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_evaln__Suc_0,axiom,
% 0.70/0.84 ( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)
% 0.70/0.84 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.70/0.84 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__top__right_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__top__left_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__UNIV__left_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__UNIV__right_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_image__vimage__eq_0,axiom,
% 0.70/0.84 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_distrib__sup__le_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I1_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__Int2_0,axiom,
% 0.70/0.84 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__inf__absorb_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_top1I_0,axiom,
% 0.70/0.84 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insertE_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.70/0.84 | V_a = V_b
% 0.70/0.84 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.70/0.84 | V_x = V_y ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.70/0.84 | V_a = V_b ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.70/0.84 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 0.70/0.84 | V_A = V_B ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_top__fun__eq_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Otop(T_b)
% 0.70/0.84 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I2_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_com__det_0,axiom,
% 0.70/0.84 ( V_u = V_t
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_map__le__antisym_0,axiom,
% 0.70/0.84 ( V_f = V_g
% 0.70/0.84 | ~ c_Map_Omap__le(V_g,V_f,T_a,T_b)
% 0.70/0.84 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__sup__absorb_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__Diff__Int_0,axiom,
% 0.70/0.84 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I8_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_triple__valid__def2_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))
% 0.70/0.84 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(V_P,V_Z),V_s))
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),t_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_bot__empty__eq_0,axiom,
% 0.70/0.84 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) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeast__eq__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 0.70/0.84 | V_x = V_y ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__const_1,axiom,
% 0.70/0.84 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_triple_Oinject_0,axiom,
% 0.70/0.84 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.70/0.84 | V_fun1 = V_fun1_H ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_triple_Oinject_1,axiom,
% 0.70/0.84 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.70/0.84 | V_com = V_com_H ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_triple_Oinject_2,axiom,
% 0.70/0.84 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.70/0.84 | V_fun2 = V_fun2_H ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__compl_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__compl_1,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I12_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__insert__left_0,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__insert__right_0,axiom,
% 0.70/0.84 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__UNIV_0,axiom,
% 0.70/0.84 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.70/0.84 ( hAPP(V_f,V_a) = V_b
% 0.70/0.84 | ~ 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)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_fun__Compl__def_0,axiom,
% 0.70/0.84 ( ~ class_HOL_Ouminus(T_b)
% 0.70/0.84 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__Int__distrib_0,axiom,
% 0.70/0.84 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.70/0.84 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__code_1,axiom,
% 0.70/0.84 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__subset_2,axiom,
% 0.70/0.84 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_compl__bot__eq_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__empty__eq_0,axiom,
% 0.70/0.84 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__left__idem_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__left__absorb_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I10_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__Diff__insert_0,axiom,
% 0.70/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.84 | ~ 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) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__Diff__insert_1,axiom,
% 0.70/0.84 ( 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)
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_finite__UNIV_0,axiom,
% 0.70/0.84 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.70/0.84 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_UnCI_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_UnCI_1,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Suc__n__not__n_0,axiom,
% 0.70/0.84 c_Suc(V_n) != V_n ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_n__not__Suc__n_0,axiom,
% 0.70/0.84 V_n != c_Suc(V_n) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__Diff_0,axiom,
% 0.70/0.84 ( 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
% 0.70/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__idem_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__absorb_0,axiom,
% 0.70/0.84 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I16_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Max__in_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 0.70/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf__fun__eq_0,axiom,
% 0.70/0.84 ( ~ class_Lattices_Olattice(T_b)
% 0.70/0.84 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Sup__singleton_0,axiom,
% 0.70/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.84 | 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 ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insertCI_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_insert__iff_2,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__Un_0,axiom,
% 0.70/0.84 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__Diff_0,axiom,
% 0.70/0.84 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__diff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_n)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I13_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atMost__eq__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a)
% 0.70/0.84 | V_x = V_y ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Min__in_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 0.70/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_singleton__iff_1,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__insert_0,axiom,
% 0.70/0.84 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)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Diff__Int_0,axiom,
% 0.70/0.84 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Compl__greaterThan_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_k,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__code_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.70/0.84 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__code_1,axiom,
% 0.70/0.84 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Min__le_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_IntI_0,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Int__iff_2,axiom,
% 0.70/0.84 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_inf1I_0,axiom,
% 0.70/0.84 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(V_B,V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.70/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_vimage__const_0,axiom,
% 0.70/0.84 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__un_I14_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_ivl__disj__int_I2_J_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Max__ge_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Sup__upper_0,axiom,
% 0.70/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)))
% 0.70/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_WT_OBody_0,axiom,
% 0.70/0.84 ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))
% 0.70/0.84 | hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Body__triple__valid__Suc_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Body__triple__valid__Suc_1,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_the_Osimps_0,axiom,
% 0.70/0.84 hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Body1_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P,V_pn)),hAPP(c_Com_Ocom_OBODY,V_pn)),hAPP(V_Q,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.84 | ~ hBOOL(c_in(V_pn,V_Procs,tc_Com_Opname))
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_MGF__complete_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),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)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),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)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(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) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_WT__bodiesD_0,axiom,
% 0.70/0.84 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom)
% 0.70/0.84 | ~ c_Com_OWT__bodies
% 0.70/0.84 | c_Com_OWT(V_b) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_single__stateE_0,axiom,
% 0.70/0.84 ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Min__antimono_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.70/0.84 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_Max__mono_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))
% 0.70/0.84 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.70/0.84 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_hoare__derivs_OBody_0,axiom,
% 0.70/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_evaln__elim__cases_I6_J_1,axiom,
% 0.70/0.84 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)
% 0.70/0.84 | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_evaln_OBody_0,axiom,
% 0.70/0.84 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,c_Suc(V_n),V_s1)
% 0.70/0.84 | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_bot__class_Oaxioms_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Obot(T_a)
% 0.70/0.84 | c_Orderings_Obot__axioms(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a),T_a) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastLessThan__empty_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_greaterThanLessThan__empty_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OgreaterThanLessThan(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_greaterThanAtMost__empty_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__funI_0,axiom,
% 0.70/0.84 ( ~ class_HOL_Oord(T_b)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b))),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_le__fun__def_1,axiom,
% 0.70/0.84 ( ~ class_HOL_Oord(T_b)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b))),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeast__subset__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeast__subset__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atMost__subset__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_atMost__subset__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_greaterThan__subset__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_greaterThan__subset__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a))) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_lessThan__subset__iff_1,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a)))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.84
% 0.70/0.84 cnf(cls_lessThan__subset__iff_0,axiom,
% 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.84 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.70/0.84 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 0.70/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_bot__fun__eq_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Obot(T_b)
% 0.70/0.85 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_Sup__empty_0,axiom,
% 0.70/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.70/0.85 | 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) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_range__composition_0,axiom,
% 0.70/0.85 c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__singletonD_0,axiom,
% 0.70/0.85 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.70/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.70/0.85 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)))) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__constant__conv_0,axiom,
% 0.70/0.85 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__Int__subset_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)))) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__vimage__subset_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)),V_A)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__image__iff_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_A))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_finite__surj_0,axiom,
% 0.70/0.85 ( c_Finite__Set_Ofinite(V_B,T_b)
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 0.70/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__subset__iff_0,axiom,
% 0.70/0.85 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.70/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__diff__subset_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__image__iff_1,axiom,
% 0.70/0.85 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_map__le__implies__dom__le_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Map_Odom(V_f,T_a,T_b)),c_Map_Odom(V_g,T_a,T_b)))
% 0.70/0.85 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_MGF__lemma1_1,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(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)
% 0.70/0.85 | ~ c_Com_OWT(V_c)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(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)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_MGF__lemma1_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(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)
% 0.70/0.85 | ~ c_Com_OWT(V_c)
% 0.70/0.85 | 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))
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.85 | ~ 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) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_derivs__insertD_0,axiom,
% 0.70/0.85 ( 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)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_BodyN_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_weak__Body_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_finite__dom__body_0,axiom,
% 0.70/0.85 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_evalc_OBody_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_evalc__elim__cases_I6_J_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_MGF_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(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)
% 0.70/0.85 | ~ c_Com_OWT(V_c)
% 0.70/0.85 | ~ c_Com_OWT__bodies
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_MGT__Body_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.70/0.85 | ~ c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_MGT__BodyN_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(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)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_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) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_linorder__linear_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__image__iff_2,axiom,
% 0.70/0.85 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_x),V_A))
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__mono_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__is__empty_0,axiom,
% 0.70/0.85 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_weaken_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_ts_H))
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_rev__predicate1D_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 0.70/0.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__eq__refl_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__eq__iff_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_predicate1D_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(V_P,V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_thin_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_G_H),V_G))
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__trans_0,axiom,
% 0.70/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__refl_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_equalityE_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__trans_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_xt1_I6_J_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__image_0,axiom,
% 0.70/0.85 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_cut_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.70/0.85 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__empty_1,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_subset__empty_0,axiom,
% 0.70/0.85 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__antisym__conv_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.85 | V_x = V_y
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__antisym_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.85 | V_x = V_y
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_order__eq__iff_2,axiom,
% 0.70/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.70/0.85 | V_x = V_y
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_set__eq__subset_2,axiom,
% 0.70/0.85 ( V_A = V_B
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_equalityI_0,axiom,
% 0.70/0.85 ( V_A = V_B
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_bot1E_0,axiom,
% 0.70/0.85 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_empty_0,axiom,
% 0.70/0.85 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_state__not__singleton__def_1,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 0.70/0.85 | V_x = V_xa ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_bot__least_0,axiom,
% 0.70/0.85 ( ~ class_Orderings_Obot(T_a)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_empty__subsetI_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_empty__is__image_0,axiom,
% 0.70/0.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.70/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_COMBB__def_0,axiom,
% 0.70/0.85 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_image__empty_0,axiom,
% 0.70/0.85 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)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_asm_0,axiom,
% 0.70/0.85 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_G)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_com_Osimps_I6_J_0,axiom,
% 0.70/0.85 ( hAPP(c_Com_Ocom_OBODY,V_pname) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
% 0.70/0.85 | V_pname = V_pname_H ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_empty__is__image_1,axiom,
% 0.70/0.85 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) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_le__funD_0,axiom,
% 0.70/0.85 ( ~ class_HOL_Oord(T_b)
% 0.70/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_conjecture_0,negated_conjecture,
% 0.70/0.85 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_conjecture_1,negated_conjecture,
% 0.70/0.85 c_Com_OWT__bodies ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_conjecture_2,negated_conjecture,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)))) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_conjecture_3,negated_conjecture,
% 0.70/0.85 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.70/0.85 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.70/0.85 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.70/0.85 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.70/0.85 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.70/0.85 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.70/0.85 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.70/0.85 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.70/0.85 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.70/0.85 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.70/0.85 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.70/0.85 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.70/0.85 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Orderings_Otop(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.70/0.85 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_Orderings_Obot(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 0.70/0.85 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_HOL_Ouminus(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.70/0.85 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_HOL_Ominus(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.70/0.85 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.70/0.85 | ~ class_HOL_Oord(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.70/0.85 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.70/0.85 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.70/0.85 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.70/0.85 class_Orderings_Opreorder(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.70/0.85 class_Orderings_Olinorder(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.70/0.85 class_Lattices_Olattice(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.70/0.85 class_Orderings_Oorder(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.70/0.85 class_Orderings_Obot(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__HOL_Ominus,axiom,
% 0.70/0.85 class_HOL_Ominus(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.70/0.85 class_HOL_Oord(tc_nat) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.70/0.85 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.70/0.85 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.70/0.85 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.70/0.85 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.70/0.85 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.70/0.85 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.70/0.85 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.70/0.85 class_Orderings_Opreorder(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.70/0.85 class_Lattices_Olattice(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.70/0.85 class_Orderings_Oorder(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.70/0.85 class_Orderings_Otop(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.70/0.85 class_Orderings_Obot(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 0.70/0.85 class_HOL_Ouminus(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.70/0.85 class_HOL_Ominus(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.70/0.85 class_HOL_Oord(tc_bool) ).
% 0.70/0.85
% 0.70/0.85 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
% 0.70/0.85 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))
% 0.70/0.85 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.70/0.85 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.70/0.85 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.70/0.85 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.70/0.85
% 0.70/0.85 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.70/0.85 ( V_X = V_Y
% 0.70/0.85 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.70/0.85
% 0.70/0.85 %------------------------------------------------------------------------------
% 0.70/0.85 %-------------------------------------------
% 0.70/0.85 % Proof found
% 0.70/0.85 % SZS status Theorem for theBenchmark
% 0.70/0.85 % SZS output start Proof
% 0.70/0.85 %ClaNum:737(EqnAxiom:158)
% 0.70/0.85 %VarNum:4172(SingletonVarNum:1601)
% 0.70/0.85 %MaxLitNum:5
% 0.70/0.85 %MaxfuncDepth:5
% 0.70/0.85 %SharedTerms:76
% 0.70/0.85 %goalClause: 159 160 314
% 0.70/0.85 %singleGoalClaCount:3
% 0.70/0.85 [159]P1(a500)
% 0.70/0.85 [160]P3(a500)
% 0.70/0.85 [161]P7(a1)
% 0.70/0.85 [162]P7(a50)
% 0.70/0.85 [163]P8(a1)
% 0.70/0.85 [164]P18(a50)
% 0.70/0.85 [165]P19(a1)
% 0.70/0.85 [166]P19(a50)
% 0.70/0.85 [167]P22(a1)
% 0.70/0.85 [168]P22(a50)
% 0.70/0.85 [169]P23(a1)
% 0.70/0.85 [170]P23(a50)
% 0.70/0.85 [171]P9(a1)
% 0.70/0.85 [172]P9(a50)
% 0.70/0.85 [173]P10(a1)
% 0.70/0.85 [174]P11(a1)
% 0.70/0.85 [175]P29(a1)
% 0.70/0.85 [176]P20(a1)
% 0.70/0.85 [177]P20(a50)
% 0.70/0.85 [178]P21(a1)
% 0.70/0.85 [179]P16(a1)
% 0.70/0.85 [180]P16(a50)
% 0.70/0.85 [181]P17(a1)
% 0.70/0.85 [182]P24(a1)
% 0.70/0.85 [183]P24(a50)
% 0.70/0.85 [184]P30(a1)
% 0.70/0.85 [185]P30(a50)
% 0.70/0.85 [193]P4(f21(a7,a43,a44),a43)
% 0.70/0.85 [207]E(f41(a52,f26(f51(a45,a1)),a45),f25(f26(f51(a45,a1)),a52))
% 0.70/0.85 [314]~P5(f30(f9(a20,a14,a44,f47(a48),a43),f21(a7,a43,a44),a43,f47(a48)),f26(f51(f47(a48),a1)),a48)
% 0.70/0.85 [302]~E(f40(x3021),x3021)
% 0.70/0.85 [187]P4(f26(f51(x1871,a1)),x1871)
% 0.70/0.85 [194]E(f18(f26(f51(x1941,a1)),f51(x1941,a1)),f28(f51(x1941,a1)))
% 0.70/0.85 [195]E(f18(f28(f51(x1951,a1)),f51(x1951,a1)),f26(f51(x1951,a1)))
% 0.70/0.85 [204]E(f25(f25(f25(f19(a48),f27(a48)),x2041),f22(x2041)),f25(a20,x2041))
% 0.70/0.85 [307]~E(f28(f51(x3071,a1)),f26(f51(x3071,a1)))
% 0.70/0.85 [306]~E(f3(x3061,x3062),f23(x3062))
% 0.70/0.85 [186]E(f25(f2(x1861),f3(x1862,x1861)),x1862)
% 0.70/0.85 [188]E(f4(x1881,x1881,f51(x1882,a1)),x1881)
% 0.70/0.85 [189]E(f5(x1891,x1891,f51(x1892,a1)),x1891)
% 0.70/0.85 [190]E(f6(x1901,x1901,f51(x1902,a1)),f26(f51(x1902,a1)))
% 0.70/0.85 [192]E(f18(f18(x1921,f51(x1922,a1)),f51(x1922,a1)),x1921)
% 0.70/0.85 [197]E(f4(x1971,f26(f51(x1972,a1)),f51(x1972,a1)),x1971)
% 0.70/0.85 [198]E(f5(x1981,f28(f51(x1982,a1)),f51(x1982,a1)),x1981)
% 0.70/0.85 [199]E(f6(x1991,f26(f51(x1992,a1)),f51(x1992,a1)),x1991)
% 0.70/0.85 [200]E(f4(f26(f51(x2001,a1)),x2002,f51(x2001,a1)),x2002)
% 0.70/0.85 [201]E(f5(f28(f51(x2011,a1)),x2012,f51(x2011,a1)),x2012)
% 0.70/0.85 [208]E(f4(x2081,f28(f51(x2082,a1)),f51(x2082,a1)),f28(f51(x2082,a1)))
% 0.70/0.85 [209]E(f5(x2091,f26(f51(x2092,a1)),f51(x2092,a1)),f26(f51(x2092,a1)))
% 0.70/0.85 [210]E(f6(x2101,f28(f51(x2102,a1)),f51(x2102,a1)),f26(f51(x2102,a1)))
% 0.70/0.85 [211]E(f4(f28(f51(x2111,a1)),x2112,f51(x2111,a1)),f28(f51(x2111,a1)))
% 0.70/0.85 [212]E(f5(f26(f51(x2121,a1)),x2122,f51(x2121,a1)),f26(f51(x2121,a1)))
% 0.70/0.85 [213]E(f6(f26(f51(x2131,a1)),x2132,f51(x2131,a1)),f26(f51(x2131,a1)))
% 0.70/0.85 [214]E(f6(f28(f51(x2141,a1)),x2142,f51(x2141,a1)),f18(x2142,f51(x2141,a1)))
% 0.70/0.85 [215]E(f4(x2151,f18(x2151,f51(x2152,a1)),f51(x2152,a1)),f28(f51(x2152,a1)))
% 0.70/0.85 [216]E(f5(x2161,f18(x2161,f51(x2162,a1)),f51(x2162,a1)),f26(f51(x2162,a1)))
% 0.70/0.85 [217]E(f4(f18(x2171,f51(x2172,a1)),x2171,f51(x2172,a1)),f28(f51(x2172,a1)))
% 0.70/0.85 [218]E(f5(f18(x2181,f51(x2182,a1)),x2181,f51(x2182,a1)),f26(f51(x2182,a1)))
% 0.70/0.85 [191]P31(f25(f25(f27(x1911),x1912),x1912))
% 0.70/0.85 [202]P5(x2021,f26(f51(f47(x2022),a1)),x2022)
% 0.70/0.85 [203]P31(f25(f28(f51(x2031,a1)),x2032))
% 0.70/0.85 [220]P31(f41(x2201,f28(f51(x2202,a1)),x2202))
% 0.70/0.85 [247]P31(f25(f25(f42(f51(x2471,a1)),x2472),f28(f51(x2471,a1))))
% 0.70/0.85 [310]~P31(f25(f26(f51(x3101,a1)),x3102))
% 0.70/0.85 [313]~P31(f41(x3131,f26(f51(x3132,a1)),x3132))
% 0.70/0.85 [228]P31(f25(f25(f42(f51(x2281,a1)),x2282),x2282))
% 0.70/0.85 [256]P31(f25(f25(f42(f51(x2561,a1)),f26(f51(x2561,a1))),x2562))
% 0.70/0.85 [225]P12(x2251,x2251,x2252,x2253)
% 0.70/0.85 [205]E(f4(x2051,x2052,f51(x2053,a1)),f4(x2052,x2051,f51(x2053,a1)))
% 0.70/0.85 [206]E(f5(x2061,x2062,f51(x2063,a1)),f5(x2062,x2061,f51(x2063,a1)))
% 0.70/0.85 [221]E(f29(x2211,f29(x2211,x2212,x2213),x2213),f29(x2211,x2212,x2213))
% 0.70/0.85 [222]E(f5(x2221,f18(x2222,f51(x2223,a1)),f51(x2223,a1)),f6(x2221,x2222,f51(x2223,a1)))
% 0.70/0.85 [223]E(f6(x2231,f18(x2232,f51(x2233,a1)),f51(x2233,a1)),f5(x2231,x2232,f51(x2233,a1)))
% 0.70/0.85 [224]P31(f25(f29(x2241,x2242,x2243),x2241))
% 0.70/0.85 [226]E(f5(x2261,f6(x2262,x2261,f51(x2263,a1)),f51(x2263,a1)),f26(f51(x2263,a1)))
% 0.70/0.85 [229]E(f4(x2291,f4(x2291,x2292,f51(x2293,a1)),f51(x2293,a1)),f4(x2291,x2292,f51(x2293,a1)))
% 0.70/0.85 [230]E(f4(x2301,f6(x2302,x2301,f51(x2303,a1)),f51(x2303,a1)),f4(x2301,x2302,f51(x2303,a1)))
% 0.70/0.85 [231]E(f5(x2311,f5(x2311,x2312,f51(x2313,a1)),f51(x2313,a1)),f5(x2311,x2312,f51(x2313,a1)))
% 0.70/0.85 [232]E(f4(f6(x2321,x2322,f51(x2323,a1)),x2322,f51(x2323,a1)),f4(x2321,x2322,f51(x2323,a1)))
% 0.70/0.85 [233]E(f6(f6(x2331,x2332,f51(x2333,a1)),x2332,f51(x2333,a1)),f6(x2331,x2332,f51(x2333,a1)))
% 0.70/0.85 [237]P31(f41(x2371,f29(x2371,x2372,x2373),x2373))
% 0.70/0.85 [242]E(f4(f18(x2421,f51(x2422,a1)),x2423,f51(x2422,a1)),f18(f6(x2421,x2423,f51(x2422,a1)),f51(x2422,a1)))
% 0.70/0.85 [243]E(f4(f29(x2431,f26(f51(x2432,a1)),x2432),x2433,f51(x2432,a1)),f29(x2431,x2433,x2432))
% 0.70/0.85 [244]E(f4(f6(x2441,x2442,f51(x2443,a1)),f5(x2441,x2442,f51(x2443,a1)),f51(x2443,a1)),x2441)
% 0.70/0.85 [248]E(f5(f18(x2481,f51(x2482,a1)),f18(x2483,f51(x2482,a1)),f51(x2482,a1)),f18(f4(x2481,x2483,f51(x2482,a1)),f51(x2482,a1)))
% 0.70/0.85 [249]E(f4(f18(x2491,f51(x2492,a1)),f18(x2493,f51(x2492,a1)),f51(x2492,a1)),f18(f5(x2491,x2493,f51(x2492,a1)),f51(x2492,a1)))
% 0.70/0.85 [258]P31(f25(f25(f42(f51(x2581,a1)),x2582),f29(x2583,x2582,x2581)))
% 0.70/0.85 [308]~E(f29(x3081,x3082,x3083),f26(f51(x3083,a1)))
% 0.70/0.85 [309]~E(f26(f51(x3091,a1)),f29(x3092,x3093,x3091))
% 0.70/0.85 [239]E(f30(x2391,f26(f51(x2392,a1)),x2392,x2393),f26(f51(x2393,a1)))
% 0.70/0.85 [240]E(f39(x2401,f26(f51(x2402,a1)),x2403,x2402),f26(f51(x2403,a1)))
% 0.70/0.85 [241]E(f39(x2411,f28(f51(x2412,a1)),x2413,x2412),f28(f51(x2413,a1)))
% 0.70/0.85 [261]P31(f25(f25(f42(f51(x2611,a1)),x2612),f4(x2613,x2612,f51(x2611,a1))))
% 0.70/0.85 [262]P31(f25(f25(f42(f51(x2621,a1)),x2622),f4(x2622,x2623,f51(x2621,a1))))
% 0.70/0.85 [275]E(f29(x2751,f6(x2752,f29(x2751,f26(f51(x2753,a1)),x2753),f51(x2753,a1)),x2753),f29(x2751,x2752,x2753))
% 0.70/0.85 [279]P31(f25(f25(f42(f51(x2791,a1)),f5(x2792,x2793,f51(x2791,a1))),x2793))
% 0.70/0.85 [280]P31(f25(f25(f42(f51(x2801,a1)),f5(x2802,x2803,f51(x2801,a1))),x2802))
% 0.70/0.85 [281]P31(f25(f25(f42(f51(x2811,a1)),f6(x2812,x2813,f51(x2811,a1))),x2812))
% 0.70/0.85 [196]E(f25(f8(x1961,x1962,x1963),x1964),x1961)
% 0.70/0.85 [234]E(f29(x2341,f29(x2342,x2343,x2344),x2344),f29(x2342,f29(x2341,x2343,x2344),x2344))
% 0.70/0.85 [251]E(f4(x2511,f4(x2512,x2513,f51(x2514,a1)),f51(x2514,a1)),f4(x2512,f4(x2511,x2513,f51(x2514,a1)),f51(x2514,a1)))
% 0.70/0.85 [252]E(f5(x2521,f5(x2522,x2523,f51(x2524,a1)),f51(x2524,a1)),f5(x2522,f5(x2521,x2523,f51(x2524,a1)),f51(x2524,a1)))
% 0.70/0.85 [253]E(f4(f4(x2531,x2532,f51(x2533,a1)),x2534,f51(x2533,a1)),f4(x2531,f4(x2532,x2534,f51(x2533,a1)),f51(x2533,a1)))
% 0.70/0.85 [254]E(f5(f5(x2541,x2542,f51(x2543,a1)),x2544,f51(x2543,a1)),f5(x2541,f5(x2542,x2544,f51(x2543,a1)),f51(x2543,a1)))
% 0.70/0.85 [255]E(f6(f5(x2551,x2552,f51(x2553,a1)),x2554,f51(x2553,a1)),f5(x2551,f6(x2552,x2554,f51(x2553,a1)),f51(x2553,a1)))
% 0.70/0.85 [264]E(f5(f4(x2641,x2642,f51(x2643,a1)),f4(x2641,x2644,f51(x2643,a1)),f51(x2643,a1)),f4(x2641,f5(x2642,x2644,f51(x2643,a1)),f51(x2643,a1)))
% 0.70/0.85 [265]E(f4(f5(x2651,x2652,f51(x2653,a1)),f5(x2651,x2654,f51(x2653,a1)),f51(x2653,a1)),f5(x2651,f4(x2652,x2654,f51(x2653,a1)),f51(x2653,a1)))
% 0.70/0.85 [266]E(f6(f5(x2661,x2662,f51(x2663,a1)),f5(x2661,x2664,f51(x2663,a1)),f51(x2663,a1)),f5(x2661,f6(x2662,x2664,f51(x2663,a1)),f51(x2663,a1)))
% 0.70/0.85 [267]E(f5(f6(x2671,x2672,f51(x2673,a1)),f6(x2671,x2674,f51(x2673,a1)),f51(x2673,a1)),f6(x2671,f4(x2672,x2674,f51(x2673,a1)),f51(x2673,a1)))
% 0.70/0.85 [268]E(f4(f6(x2681,x2682,f51(x2683,a1)),f6(x2681,x2684,f51(x2683,a1)),f51(x2683,a1)),f6(x2681,f5(x2682,x2684,f51(x2683,a1)),f51(x2683,a1)))
% 0.70/0.85 [269]E(f5(f4(x2691,x2692,f51(x2693,a1)),f4(x2694,x2692,f51(x2693,a1)),f51(x2693,a1)),f4(f5(x2691,x2694,f51(x2693,a1)),x2692,f51(x2693,a1)))
% 0.70/0.85 [270]E(f4(f5(x2701,x2702,f51(x2703,a1)),f5(x2704,x2702,f51(x2703,a1)),f51(x2703,a1)),f5(f4(x2701,x2704,f51(x2703,a1)),x2702,f51(x2703,a1)))
% 0.70/0.85 [271]E(f6(f5(x2711,x2712,f51(x2713,a1)),f5(x2714,x2712,f51(x2713,a1)),f51(x2713,a1)),f5(f6(x2711,x2714,f51(x2713,a1)),x2712,f51(x2713,a1)))
% 0.70/0.85 [272]E(f4(f6(x2721,x2722,f51(x2723,a1)),f6(x2724,x2722,f51(x2723,a1)),f51(x2723,a1)),f6(f4(x2721,x2724,f51(x2723,a1)),x2722,f51(x2723,a1)))
% 0.70/0.85 [273]E(f6(f5(x2731,x2732,f51(x2733,a1)),f5(x2734,x2732,f51(x2733,a1)),f51(x2733,a1)),f6(f5(x2731,x2732,f51(x2733,a1)),x2734,f51(x2733,a1)))
% 0.70/0.85 [274]E(f6(f6(x2741,x2742,f51(x2743,a1)),f29(x2744,f26(f51(x2743,a1)),x2743),f51(x2743,a1)),f6(x2741,f29(x2744,x2742,x2743),f51(x2743,a1)))
% 0.70/0.85 [276]E(f6(f6(x2761,f29(x2762,f26(f51(x2763,a1)),x2763),f51(x2763,a1)),x2764,f51(x2763,a1)),f6(x2761,f29(x2762,x2764,x2763),f51(x2763,a1)))
% 0.70/0.85 [284]E(f30(x2841,f39(x2841,x2842,x2843,x2844),x2843,x2844),f5(x2842,f30(x2841,f28(f51(x2843,a1)),x2843,x2844),f51(x2844,a1)))
% 0.70/0.85 [290]E(f5(f5(f4(x2901,x2902,f51(x2903,a1)),f4(x2902,x2904,f51(x2903,a1)),f51(x2903,a1)),f4(x2904,x2901,f51(x2903,a1)),f51(x2903,a1)),f4(f4(f5(x2901,x2902,f51(x2903,a1)),f5(x2902,x2904,f51(x2903,a1)),f51(x2903,a1)),f5(x2904,x2901,f51(x2903,a1)),f51(x2903,a1)))
% 0.70/0.85 [245]E(f29(x2451,f4(x2452,x2453,f51(x2454,a1)),x2454),f4(x2452,f29(x2451,x2453,x2454),f51(x2454,a1)))
% 0.70/0.85 [246]E(f29(x2461,f4(x2462,x2463,f51(x2464,a1)),x2464),f4(f29(x2461,x2462,x2464),x2463,f51(x2464,a1)))
% 0.70/0.85 [257]E(f5(f29(x2571,x2572,x2573),f29(x2571,x2574,x2573),f51(x2573,a1)),f29(x2571,f5(x2572,x2574,f51(x2573,a1)),x2573))
% 0.70/0.85 [278]E(f39(x2781,f18(x2782,f51(x2783,a1)),x2784,x2783),f18(f39(x2781,x2782,x2784,x2783),f51(x2784,a1)))
% 0.70/0.85 [283]P31(f41(f25(x2831,x2832),f30(x2831,f28(f51(x2833,a1)),x2833,x2834),x2834))
% 0.70/0.85 [297]P31(f25(f25(f42(f51(x2971,a1)),f30(x2972,f39(x2972,x2973,x2974,x2971),x2974,x2971)),x2973))
% 0.70/0.85 [291]P31(f41(x2911,f39(x2912,f29(f25(x2912,x2911),f26(f51(x2913,a1)),x2913),x2914,x2913),x2914))
% 0.70/0.85 [282]E(f30(x2821,f29(x2822,x2823,x2824),x2824,x2825),f29(f25(x2821,x2822),f30(x2821,x2823,x2824,x2825),x2825))
% 0.70/0.85 [289]E(f4(f39(x2891,f29(x2892,f26(f51(x2893,a1)),x2893),x2894,x2893),f39(x2891,x2895,x2894,x2893),f51(x2894,a1)),f39(x2891,f29(x2892,x2895,x2893),x2894,x2893))
% 0.70/0.85 [285]E(f4(f30(x2851,x2852,x2853,x2854),f30(x2851,x2855,x2853,x2854),f51(x2854,a1)),f30(x2851,f4(x2852,x2855,f51(x2853,a1)),x2853,x2854))
% 0.70/0.85 [286]E(f4(f39(x2861,x2862,x2863,x2864),f39(x2861,x2865,x2863,x2864),f51(x2863,a1)),f39(x2861,f4(x2862,x2865,f51(x2864,a1)),x2863,x2864))
% 0.70/0.85 [287]E(f5(f39(x2871,x2872,x2873,x2874),f39(x2871,x2875,x2873,x2874),f51(x2873,a1)),f39(x2871,f5(x2872,x2875,f51(x2874,a1)),x2873,x2874))
% 0.70/0.85 [288]E(f6(f39(x2881,x2882,x2883,x2884),f39(x2881,x2885,x2883,x2884),f51(x2883,a1)),f39(x2881,f6(x2882,x2885,f51(x2884,a1)),x2883,x2884))
% 0.70/0.85 [298]P31(f25(f25(f42(f51(x2981,a1)),f30(x2982,f5(x2983,x2984,f51(x2985,a1)),x2985,x2981)),f5(f30(x2982,x2983,x2985,x2981),f30(x2982,x2984,x2985,x2981),f51(x2981,a1))))
% 0.70/0.85 [296]E(f30(f9(x2961,x2962,x2963,x2964,x2965),f28(f51(x2965,a1)),x2965,x2964),f30(x2961,f30(x2962,f28(f51(x2965,a1)),x2965,x2963),x2963,x2964))
% 0.70/0.85 [299]P31(f25(f25(f42(f51(x2991,a1)),f6(f30(x2992,x2993,x2994,x2991),f30(x2992,x2995,x2994,x2991),f51(x2991,a1))),f30(x2992,f6(x2993,x2995,f51(x2994,a1)),x2994,x2991)))
% 0.70/0.85 [293]E(f25(f9(x2931,x2932,x2933,x2934,x2935),x2936),f25(x2931,f25(x2932,x2936)))
% 0.70/0.85 [294]E(f25(f13(x2941,x2942,x2943,x2944,x2945),x2946),f25(f25(x2941,x2946),f25(x2942,x2946)))
% 0.70/0.85 [295]E(f30(x2951,f30(x2952,x2953,x2954,x2955),x2955,x2956),f30(f9(x2951,x2952,x2955,x2956,x2954),x2953,x2954,x2956))
% 0.70/0.85 [316]~E(f53(x3161),x3161)+~P3(a500)
% 0.70/0.85 [319]~P10(x3191)+P10(f49(x3191))
% 0.70/0.85 [338]E(f25(a7,x3381),f23(a44))+P2(f25(a14,x3381))
% 0.70/0.85 [364]~P24(x3641)+P14(f42(x3641),f26(x3641),x3641)
% 0.70/0.85 [321]~P8(x3211)+E(f18(f26(x3211),x3211),f28(x3211))
% 0.70/0.85 [322]~P8(x3221)+E(f18(f28(x3221),x3221),f26(x3221))
% 0.70/0.85 [365]~P24(x3651)+E(f25(f26(f51(a45,x3651)),a52),f26(x3651))
% 0.70/0.85 [366]~P29(x3661)+E(f25(f28(f51(a45,x3661)),a52),f28(x3661))
% 0.70/0.85 [367]~P11(x3671)+E(f15(f26(f51(x3671,a1)),x3671),f26(x3671))
% 0.70/0.85 [368]~P11(x3681)+E(f15(f28(f51(x3681,a1)),x3681),f28(x3681))
% 0.70/0.85 [320]~P10(x3202)+P4(x3201,x3202)
% 0.70/0.85 [318]E(x3181,x3182)+~E(f40(x3181),f40(x3182))
% 0.70/0.85 [323]~P7(x3232)+P7(f51(x3231,x3232))
% 0.70/0.85 [324]~P8(x3242)+P8(f51(x3241,x3242))
% 0.70/0.85 [325]~P19(x3252)+P19(f51(x3251,x3252))
% 0.70/0.85 [326]~P19(x3262)+P22(f51(x3261,x3262))
% 0.70/0.85 [327]~P19(x3272)+P23(f51(x3271,x3272))
% 0.70/0.85 [328]~P9(x3282)+P9(f51(x3281,x3282))
% 0.70/0.85 [329]~P11(x3292)+P11(f51(x3291,x3292))
% 0.70/0.85 [330]~P29(x3302)+P29(f51(x3301,x3302))
% 0.70/0.85 [331]~P20(x3312)+P20(f51(x3311,x3312))
% 0.70/0.85 [332]~P21(x3322)+P21(f51(x3321,x3322))
% 0.70/0.85 [333]~P16(x3332)+P16(f51(x3331,x3332))
% 0.70/0.85 [334]~P17(x3342)+P17(f51(x3341,x3342))
% 0.70/0.85 [335]~P24(x3352)+P24(f51(x3351,x3352))
% 0.70/0.85 [336]~P30(x3362)+P30(f51(x3361,x3362))
% 0.70/0.85 [337]E(x3371,x3372)+~E(f25(a14,x3371),f25(a14,x3372))
% 0.70/0.85 [353]~P23(x3532)+E(f4(x3531,x3531,x3532),x3531)
% 0.70/0.85 [354]~P22(x3542)+E(f5(x3541,x3541,x3542),x3541)
% 0.70/0.85 [344]~P8(x3442)+E(f18(f18(x3441,x3442),x3442),x3441)
% 0.70/0.85 [346]~P25(x3462)+E(f18(f18(x3461,x3462),x3462),x3461)
% 0.70/0.85 [355]~P21(x3552)+E(f4(x3551,f26(x3552),x3552),x3551)
% 0.70/0.85 [356]~P21(x3562)+E(f5(x3561,f28(x3562),x3562),x3561)
% 0.70/0.85 [357]~P21(x3571)+E(f4(f26(x3571),x3572,x3571),x3572)
% 0.70/0.85 [358]~P21(x3581)+E(f5(f28(x3581),x3582,x3581),x3582)
% 0.70/0.85 [359]~P21(x3592)+E(f4(x3591,f28(x3592),x3592),f28(x3592))
% 0.70/0.85 [360]~P21(x3602)+E(f5(x3601,f26(x3602),x3602),f26(x3602))
% 0.70/0.85 [361]~P21(x3611)+E(f4(f28(x3611),x3612,x3611),f28(x3611))
% 0.70/0.85 [362]~P21(x3621)+E(f5(f26(x3621),x3622,x3621),f26(x3621))
% 0.70/0.85 [369]~P18(x3692)+E(f18(f31(x3691,x3692),f51(x3692,a1)),f33(x3691,x3692))
% 0.70/0.85 [370]~P18(x3702)+E(f18(f36(x3701,x3702),f51(x3702,a1)),f32(x3701,x3702))
% 0.70/0.85 [371]~P18(x3712)+E(f18(f32(x3711,x3712),f51(x3712,a1)),f36(x3711,x3712))
% 0.70/0.85 [372]~P18(x3722)+E(f18(f33(x3721,x3722),f51(x3722,a1)),f31(x3721,x3722))
% 0.70/0.85 [373]~P8(x3732)+E(f4(x3731,f18(x3731,x3732),x3732),f28(x3732))
% 0.70/0.85 [374]~P8(x3742)+E(f5(x3741,f18(x3741,x3742),x3742),f26(x3742))
% 0.70/0.85 [375]~P8(x3752)+E(f4(f18(x3751,x3752),x3751,x3752),f28(x3752))
% 0.70/0.85 [376]~P8(x3762)+E(f5(f18(x3761,x3762),x3761,x3762),f26(x3762))
% 0.70/0.85 [388]~P29(x3881)+P31(f25(f25(f42(x3881),x3882),f28(x3881)))
% 0.70/0.85 [488]~P18(x4882)+E(f4(f36(x4881,x4882),f29(x4881,f26(f51(x4882,a1)),x4882),f51(x4882,a1)),f33(x4881,x4882))
% 0.70/0.85 [489]~P18(x4892)+E(f4(f29(x4891,f26(f51(x4892,a1)),x4892),f31(x4891,x4892),f51(x4892,a1)),f32(x4891,x4892))
% 0.70/0.85 [705]P5(x7051,f29(f25(a20,f25(a14,x7052)),f26(f51(f47(a48),a1)),f47(a48)),a48)+~P5(f29(f25(a20,f25(a14,x7052)),x7051,f47(a48)),f29(f25(a20,f25(f2(a44),f25(a7,x7052))),f26(f51(f47(a48),a1)),f47(a48)),a48)
% 0.70/0.85 [381]~P7(x3811)+P31(f25(f25(f42(x3811),x3812),x3812))
% 0.70/0.85 [382]~P30(x3821)+P31(f25(f25(f42(x3821),x3822),x3822))
% 0.70/0.85 [389]~P17(x3892)+E(f25(f18(x3891,f51(a45,x3892)),a52),f18(f25(x3891,a52),x3892))
% 0.70/0.85 [390]~P24(x3901)+P31(f25(f25(f42(x3901),f26(x3901)),x3902))
% 0.70/0.85 [396]~P7(x3962)+E(f34(x3961,x3961,x3962),f29(x3961,f26(f51(x3962,a1)),x3962))
% 0.70/0.85 [443]~P7(x4432)+E(f5(f33(x4431,x4432),f32(x4431,x4432),f51(x4432,a1)),f29(x4431,f26(f51(x4432,a1)),x4432))
% 0.70/0.85 [526]~P7(x5262)+E(f6(f29(x5261,f26(f51(x5262,a1)),x5262),f36(x5261,x5262),f51(x5262,a1)),f29(x5261,f26(f51(x5262,a1)),x5262))
% 0.70/0.85 [596]E(x5961,f26(f51(x5962,a1)))+~P31(f25(f25(f42(f51(x5962,a1)),x5961),f26(f51(x5962,a1))))
% 0.70/0.85 [611]E(x6111,f26(f51(x6112,a1)))+~P31(f25(f25(f42(f51(x6112,a1)),x6111),f18(x6111,f51(x6112,a1))))
% 0.70/0.85 [434]~P18(x4342)+E(f16(f29(x4341,f26(f51(x4342,a1)),x4342),x4342),x4341)
% 0.70/0.85 [435]~P11(x4352)+E(f15(f29(x4351,f26(f51(x4352,a1)),x4352),x4352),x4351)
% 0.70/0.85 [436]~P18(x4362)+E(f17(f29(x4361,f26(f51(x4362,a1)),x4362),x4362),x4361)
% 0.70/0.85 [391]~P5(x3911,x3912,x3913)+P6(x3911,x3912,x3913)
% 0.70/0.85 [341]E(x3411,x3412)+~E(f3(x3411,x3413),f3(x3412,x3413))
% 0.70/0.85 [383]~P19(x3833)+E(f4(x3831,x3832,x3833),f4(x3832,x3831,x3833))
% 0.70/0.85 [384]~P23(x3843)+E(f4(x3841,x3842,x3843),f4(x3842,x3841,x3843))
% 0.70/0.85 [385]~P19(x3853)+E(f5(x3851,x3852,x3853),f5(x3852,x3851,x3853))
% 0.70/0.85 [386]~P22(x3863)+E(f5(x3861,x3862,x3863),f5(x3862,x3861,x3863))
% 0.70/0.85 [393]~P4(x3932,x3933)+P4(f29(x3931,x3932,x3933),x3933)
% 0.70/0.85 [394]P13(x3941,x3942,x3943)+~P13(f40(x3941),x3942,x3943)
% 0.70/0.85 [395]~P31(f25(x3952,x3951))+P31(f41(x3951,x3952,x3953))
% 0.70/0.85 [412]P4(x4121,x4122)+~P4(f29(x4123,x4121,x4122),x4122)
% 0.70/0.85 [413]P31(f25(x4131,x4132))+~P31(f41(x4132,x4131,x4133))
% 0.70/0.85 [429]E(f29(x4291,x4292,x4293),x4292)+~P31(f41(x4291,x4292,x4293))
% 0.70/0.85 [387]E(x3871,x3872)+~E(f18(x3871,f51(x3873,a1)),f18(x3872,f51(x3873,a1)))
% 0.70/0.85 [392]~P8(x3923)+E(f5(x3921,f18(x3922,x3923),x3923),f6(x3921,x3922,x3923))
% 0.70/0.85 [397]~P19(x3973)+E(f4(x3971,f5(x3971,x3972,x3973),x3973),x3971)
% 0.70/0.85 [398]~P19(x3983)+E(f5(x3981,f4(x3981,x3982,x3983),x3983),x3981)
% 0.70/0.85 [402]~P26(x4023)+E(f18(f6(x4021,x4022,x4023),x4023),f6(x4022,x4021,x4023))
% 0.70/0.85 [403]~P4(x4032,x4033)+P4(f5(x4031,x4032,f51(x4033,a1)),x4033)
% 0.70/0.85 [404]~P4(x4041,x4043)+P4(f5(x4041,x4042,f51(x4043,a1)),x4043)
% 0.70/0.85 [405]~P4(x4051,x4053)+P4(f6(x4051,x4052,f51(x4053,a1)),x4053)
% 0.70/0.85 [406]E(x4061,f26(f51(x4062,a1)))+~E(f4(x4063,x4061,f51(x4062,a1)),f26(f51(x4062,a1)))
% 0.70/0.85 [407]E(x4071,f26(f51(x4072,a1)))+~E(f4(x4071,x4073,f51(x4072,a1)),f26(f51(x4072,a1)))
% 0.70/0.85 [415]~P11(x4153)+E(f4(x4151,f15(x4152,x4153),x4153),f15(f29(x4151,x4152,x4153),x4153))
% 0.70/0.85 [423]~P19(x4233)+E(f4(x4231,f4(x4231,x4232,x4233),x4233),f4(x4231,x4232,x4233))
% 0.70/0.85 [424]~P23(x4243)+E(f4(x4241,f4(x4241,x4242,x4243),x4243),f4(x4241,x4242,x4243))
% 0.70/0.85 [425]~P19(x4253)+E(f5(x4251,f5(x4251,x4252,x4253),x4253),f5(x4251,x4252,x4253))
% 0.70/0.85 [426]~P22(x4263)+E(f5(x4261,f5(x4261,x4262,x4263),x4263),f5(x4261,x4262,x4263))
% 0.70/0.85 [437]~P8(x4372)+E(f5(f18(x4371,x4372),f18(x4373,x4372),x4372),f18(f4(x4371,x4373,x4372),x4372))
% 0.70/0.85 [438]~P27(x4382)+E(f5(f18(x4381,x4382),f18(x4383,x4382),x4382),f18(f4(x4381,x4383,x4382),x4382))
% 0.70/0.85 [439]~P8(x4392)+E(f4(f18(x4391,x4392),f18(x4393,x4392),x4392),f18(f5(x4391,x4393,x4392),x4392))
% 0.70/0.85 [440]~P27(x4402)+E(f4(f18(x4401,x4402),f18(x4403,x4402),x4402),f18(f5(x4401,x4403,x4402),x4402))
% 0.70/0.85 [442]E(f6(x4421,x4422,f51(x4423,a1)),x4421)+~E(f5(x4421,x4422,f51(x4423,a1)),f26(f51(x4423,a1)))
% 0.70/0.85 [444]~P7(x4442)+E(f5(f36(x4441,x4442),f34(x4441,x4443,x4442),f51(x4442,a1)),f26(f51(x4442,a1)))
% 0.70/0.85 [445]~P7(x4452)+E(f5(f36(x4451,x4452),f35(x4451,x4453,x4452),f51(x4452,a1)),f26(f51(x4452,a1)))
% 0.70/0.85 [446]~P7(x4462)+E(f5(f33(x4461,x4462),f37(x4461,x4463,x4462),f51(x4462,a1)),f26(f51(x4462,a1)))
% 0.70/0.85 [447]~P7(x4472)+E(f5(f33(x4471,x4472),f38(x4471,x4473,x4472),f51(x4472,a1)),f26(f51(x4472,a1)))
% 0.70/0.85 [448]~P7(x4483)+E(f5(f34(x4481,x4482,x4483),f31(x4482,x4483),f51(x4483,a1)),f26(f51(x4483,a1)))
% 0.70/0.85 [449]~P7(x4493)+E(f5(f37(x4491,x4492,x4493),f31(x4492,x4493),f51(x4493,a1)),f26(f51(x4493,a1)))
% 0.70/0.85 [450]~P7(x4503)+E(f5(f38(x4501,x4502,x4503),f32(x4502,x4503),f51(x4503,a1)),f26(f51(x4503,a1)))
% 0.70/0.85 [451]~P7(x4513)+E(f5(f35(x4511,x4512,x4513),f32(x4512,x4513),f51(x4513,a1)),f26(f51(x4513,a1)))
% 0.70/0.85 [459]P4(x4591,x4592)+~P4(f4(x4593,x4591,f51(x4592,a1)),x4592)
% 0.70/0.85 [460]P4(x4601,x4602)+~P4(f4(x4601,x4603,f51(x4602,a1)),x4602)
% 0.70/0.85 [475]~P19(x4751)+P31(f25(f25(f42(x4751),x4752),f4(x4753,x4752,x4751)))
% 0.70/0.85 [476]~P23(x4761)+P31(f25(f25(f42(x4761),x4762),f4(x4763,x4762,x4761)))
% 0.70/0.85 [477]~P19(x4771)+P31(f25(f25(f42(x4771),x4772),f4(x4772,x4773,x4771)))
% 0.70/0.85 [478]~P23(x4781)+P31(f25(f25(f42(x4781),x4782),f4(x4782,x4783,x4781)))
% 0.70/0.85 [552]P31(f41(x5521,x5522,x5523))+E(f6(f29(x5521,x5522,x5523),f29(x5521,f26(f51(x5523,a1)),x5523),f51(x5523,a1)),x5522)
% 0.70/0.85 [399]E(x3991,x3992)+~P31(f25(f25(f27(x3993),x3991),x3992))
% 0.70/0.85 [456]~P19(x4563)+E(f4(f25(x4561,a52),f25(x4562,a52),x4563),f25(f4(x4561,x4562,f51(a45,x4563)),a52))
% 0.70/0.85 [457]~P19(x4573)+E(f5(f25(x4571,a52),f25(x4572,a52),x4573),f25(f5(x4571,x4572,f51(a45,x4573)),a52))
% 0.70/0.85 [458]~P9(x4583)+E(f6(f25(x4581,a52),f25(x4582,a52),x4583),f25(f6(x4581,x4582,f51(a45,x4583)),a52))
% 0.70/0.85 [461]~P27(x4612)+E(f18(f5(f18(x4611,x4612),f18(x4613,x4612),x4612),x4612),f4(x4611,x4613,x4612))
% 0.70/0.85 [462]~P27(x4622)+E(f18(f4(f18(x4621,x4622),f18(x4623,x4622),x4622),x4622),f5(x4621,x4623,x4622))
% 0.70/0.85 [490]E(x4901,x4902)+~E(f29(x4901,f26(f51(x4903,a1)),x4903),f29(x4902,f26(f51(x4903,a1)),x4903))
% 0.70/0.85 [500]P31(f41(x5001,x5002,x5003))+P31(f41(x5001,f18(x5002,f51(x5003,a1)),x5003))
% 0.70/0.85 [564]~P19(x5641)+P31(f25(f25(f42(x5641),f5(x5642,x5643,x5641)),x5643))
% 0.70/0.85 [565]~P22(x5651)+P31(f25(f25(f42(x5651),f5(x5652,x5653,x5651)),x5653))
% 0.70/0.85 [566]~P19(x5661)+P31(f25(f25(f42(x5661),f5(x5662,x5663,x5661)),x5662))
% 0.70/0.85 [567]~P22(x5671)+P31(f25(f25(f42(x5671),f5(x5672,x5673,x5671)),x5672))
% 0.70/0.85 [575]~P31(f41(x5751,x5752,x5753))+~P31(f41(x5751,f18(x5752,f51(x5753,a1)),x5753))
% 0.70/0.85 [579]~E(f5(x5792,x5793,f51(x5791,a1)),f26(f51(x5791,a1)))+P31(f25(f25(f42(f51(x5791,a1)),x5792),f18(x5793,f51(x5791,a1))))
% 0.70/0.85 [629]E(f5(x6291,x6292,f51(x6293,a1)),f26(f51(x6293,a1)))+~P31(f25(f25(f42(f51(x6293,a1)),x6291),f18(x6292,f51(x6293,a1))))
% 0.70/0.85 [631]~P31(f41(x6311,x6312,x6313))+E(f29(x6311,f6(x6312,f29(x6311,f26(f51(x6313,a1)),x6313),f51(x6313,a1)),x6313),x6312)
% 0.70/0.85 [520]~E(f4(x5202,x5203,f51(x5201,a1)),x5203)+P31(f25(f25(f42(f51(x5201,a1)),x5202),x5203))
% 0.70/0.85 [559]E(f4(x5591,x5592,f51(x5593,a1)),x5592)+~P31(f25(f25(f42(f51(x5593,a1)),x5591),x5592))
% 0.70/0.85 [560]E(f4(x5601,x5602,f51(x5603,a1)),x5601)+~P31(f25(f25(f42(f51(x5603,a1)),x5602),x5601))
% 0.70/0.85 [561]E(f5(x5611,x5612,f51(x5613,a1)),x5612)+~P31(f25(f25(f42(f51(x5613,a1)),x5612),x5611))
% 0.70/0.85 [562]E(f5(x5621,x5622,f51(x5623,a1)),x5621)+~P31(f25(f25(f42(f51(x5623,a1)),x5621),x5622))
% 0.70/0.85 [602]E(f4(x6021,f6(x6022,x6021,f51(x6023,a1)),f51(x6023,a1)),x6022)+~P31(f25(f25(f42(f51(x6023,a1)),x6021),x6022))
% 0.70/0.85 [641]E(x6411,x6412)+~P31(f41(x6411,f29(x6412,f26(f51(x6413,a1)),x6413),x6413))
% 0.70/0.85 [667]P31(f25(f25(f42(f51(x6671,a1)),f18(x6672,f51(x6671,a1))),f18(x6673,f51(x6671,a1))))+~P31(f25(f25(f42(f51(x6671,a1)),x6673),x6672))
% 0.70/0.85 [691]~P31(f25(f25(f42(f51(x6911,a1)),f18(x6913,f51(x6911,a1))),f18(x6912,f51(x6911,a1))))+P31(f25(f25(f42(f51(x6911,a1)),x6912),x6913))
% 0.70/0.85 [581]~P11(x5813)+E(f15(f29(x5811,f29(x5812,f26(f51(x5813,a1)),x5813),x5813),x5813),f4(x5811,x5812,x5813))
% 0.70/0.85 [600]P5(x6001,x6002,x6003)+~P31(f25(f25(f42(f51(f47(x6003),a1)),x6002),x6001))
% 0.70/0.85 [668]~P31(f25(f25(f22(f25(a14,x6681)),x6682),x6683))+P31(f25(f25(f22(f25(f2(a44),f25(a7,x6681))),x6682),x6683))
% 0.70/0.85 [692]P31(f25(f25(f22(f25(a14,x6921)),x6922),x6923))+~P31(f25(f25(f22(f25(f2(a44),f25(a7,x6921))),x6922),x6923))
% 0.70/0.85 [556]~P4(x5562,x5563)+P4(f30(x5561,x5562,x5563,x5564),x5564)
% 0.70/0.85 [595]~P15(x5951,x5952,x5953,x5954)+P15(x5951,x5952,f40(x5953),x5954)
% 0.70/0.85 [463]~P31(f25(x4632,x4634))+P31(f25(f29(x4631,x4632,x4633),x4634))
% 0.70/0.85 [467]~P7(x4673)+E(f5(f34(x4671,x4672,x4673),f37(x4672,x4674,x4673),f51(x4673,a1)),f26(f51(x4673,a1)))
% 0.70/0.85 [468]~P7(x4683)+E(f5(f34(x4681,x4682,x4683),f38(x4682,x4684,x4683),f51(x4683,a1)),f26(f51(x4683,a1)))
% 0.70/0.85 [469]~P7(x4693)+E(f5(f37(x4691,x4692,x4693),f37(x4692,x4694,x4693),f51(x4693,a1)),f26(f51(x4693,a1)))
% 0.70/0.85 [470]~P7(x4703)+E(f5(f37(x4701,x4702,x4703),f38(x4702,x4704,x4703),f51(x4703,a1)),f26(f51(x4703,a1)))
% 0.70/0.85 [471]~P7(x4713)+E(f5(f38(x4711,x4712,x4713),f34(x4712,x4714,x4713),f51(x4713,a1)),f26(f51(x4713,a1)))
% 0.70/0.85 [472]~P7(x4723)+E(f5(f38(x4721,x4722,x4723),f35(x4722,x4724,x4723),f51(x4723,a1)),f26(f51(x4723,a1)))
% 0.70/0.85 [473]~P7(x4733)+E(f5(f35(x4731,x4732,x4733),f34(x4732,x4734,x4733),f51(x4733,a1)),f26(f51(x4733,a1)))
% 0.70/0.85 [474]~P7(x4743)+E(f5(f35(x4741,x4742,x4743),f35(x4742,x4744,x4743),f51(x4743,a1)),f26(f51(x4743,a1)))
% 0.70/0.85 [479]P5(x4791,x4792,x4793)+~P5(x4791,f29(x4794,x4792,f47(x4793)),x4793)
% 0.70/0.85 [480]~P19(x4804)+E(f4(x4801,f4(x4802,x4803,x4804),x4804),f4(x4802,f4(x4801,x4803,x4804),x4804))
% 0.70/0.85 [481]~P23(x4814)+E(f4(x4811,f4(x4812,x4813,x4814),x4814),f4(x4812,f4(x4811,x4813,x4814),x4814))
% 0.70/0.85 [482]~P19(x4824)+E(f5(x4821,f5(x4822,x4823,x4824),x4824),f5(x4822,f5(x4821,x4823,x4824),x4824))
% 0.70/0.85 [483]~P22(x4834)+E(f5(x4831,f5(x4832,x4833,x4834),x4834),f5(x4832,f5(x4831,x4833,x4834),x4834))
% 0.70/0.85 [484]~P19(x4843)+E(f4(f4(x4841,x4842,x4843),x4844,x4843),f4(x4841,f4(x4842,x4844,x4843),x4843))
% 0.70/0.85 [485]~P23(x4853)+E(f4(f4(x4851,x4852,x4853),x4854,x4853),f4(x4851,f4(x4852,x4854,x4853),x4853))
% 0.70/0.85 [486]~P19(x4863)+E(f5(f5(x4861,x4862,x4863),x4864,x4863),f5(x4861,f5(x4862,x4864,x4863),x4863))
% 0.70/0.85 [487]~P22(x4873)+E(f5(f5(x4871,x4872,x4873),x4874,x4873),f5(x4871,f5(x4872,x4874,x4873),x4873))
% 0.70/0.85 [495]E(f25(x4951,x4952),f23(x4953))+P31(f41(x4952,f21(x4951,x4954,x4953),x4954))
% 0.70/0.85 [508]P31(f41(x5082,x5081,x5084))+E(f5(x5081,f29(x5082,x5083,x5084),f51(x5084,a1)),f5(x5081,x5083,f51(x5084,a1)))
% 0.70/0.85 [509]P31(f41(x5091,x5094,x5093))+E(f5(f29(x5091,x5092,x5093),x5094,f51(x5093,a1)),f5(x5092,x5094,f51(x5093,a1)))
% 0.70/0.85 [528]~P20(x5283)+E(f5(f4(x5281,x5282,x5283),f4(x5281,x5284,x5283),x5283),f4(x5281,f5(x5282,x5284,x5283),x5283))
% 0.70/0.85 [529]~P20(x5293)+E(f4(f5(x5291,x5292,x5293),f5(x5291,x5294,x5293),x5293),f5(x5291,f4(x5292,x5294,x5293),x5293))
% 0.70/0.85 [530]~P20(x5303)+E(f5(f4(x5301,x5302,x5303),f4(x5304,x5302,x5303),x5303),f4(f5(x5301,x5304,x5303),x5302,x5303))
% 0.70/0.85 [531]~P20(x5313)+E(f4(f5(x5311,x5312,x5313),f5(x5314,x5312,x5313),x5313),f5(f4(x5311,x5314,x5313),x5312,x5313))
% 0.70/0.85 [532]~P31(f41(x5321,x5324,x5323))+E(f6(f29(x5321,x5322,x5323),x5324,f51(x5323,a1)),f6(x5322,x5324,f51(x5323,a1)))
% 0.70/0.85 [539]~E(f30(x5393,x5391,x5392,x5394),f26(f51(x5394,a1)))+E(x5391,f26(f51(x5392,a1)))
% 0.70/0.85 [541]P31(f41(x5411,x5414,x5412))+E(f39(f8(x5411,x5412,x5413),x5414,x5413,x5412),f26(f51(x5413,a1)))
% 0.70/0.85 [549]~P31(f41(x5491,x5493,x5494))+P31(f41(x5491,f29(x5492,x5493,x5494),x5494))
% 0.70/0.85 [563]~E(f25(x5631,x5632),f23(x5633))+~P31(f41(x5632,f21(x5631,x5634,x5633),x5634))
% 0.70/0.85 [570]~P31(f41(x5701,x5704,x5702))+E(f39(f8(x5701,x5702,x5703),x5704,x5703,x5702),f28(f51(x5703,a1)))
% 0.70/0.85 [580]~P5(x5801,f29(x5802,x5804,f47(x5803)),x5803)+P5(x5801,f29(x5802,f26(f51(f47(x5803),a1)),f47(x5803)),x5803)
% 0.70/0.85 [594]~P4(f6(x5941,x5943,f51(x5944,a1)),x5944)+P4(f6(x5941,f29(x5942,x5943,x5944),f51(x5944,a1)),x5944)
% 0.70/0.85 [619]~P4(f6(x6191,f29(x6194,x6192,x6193),f51(x6193,a1)),x6193)+P4(f6(x6191,x6192,f51(x6193,a1)),x6193)
% 0.70/0.85 [630]P15(f25(a14,x6301),x6302,f40(x6303),x6304)+~P15(f25(f2(a44),f25(a7,x6301)),x6302,x6303,x6304)
% 0.70/0.85 [649]~P15(f25(a14,x6491),x6493,x6492,x6494)+E(f40(f24(x6491,x6492,x6493,x6494)),x6492)
% 0.70/0.85 [676]~P15(f25(a14,x6761),x6762,x6763,x6764)+P15(f25(f2(a44),f25(a7,x6761)),x6762,f24(x6761,x6763,x6762,x6764),x6764)
% 0.70/0.85 [679]~P12(x6792,x6794,x6791,x6793)+P31(f25(f25(f42(f51(x6791,a1)),f21(x6792,x6791,x6793)),f21(x6794,x6791,x6793)))
% 0.70/0.85 [510]~P31(f25(x5102,x5104))+P31(f25(f4(x5101,x5102,f51(x5103,a1)),x5104))
% 0.70/0.85 [511]~P31(f25(x5111,x5114))+P31(f25(f4(x5111,x5112,f51(x5113,a1)),x5114))
% 0.70/0.85 [540]E(x5401,f26(f51(x5402,a1)))+E(f30(f8(x5403,x5404,x5402),x5401,x5402,x5404),f29(x5403,f26(f51(x5404,a1)),x5404))
% 0.70/0.85 [547]~P15(x5471,x5472,x5474,x5473)+P31(f25(f25(f22(x5471),x5472),x5473))
% 0.70/0.85 [550]P31(f41(x5501,x5504,x5503))+E(f6(f29(x5501,x5502,x5503),x5504,f51(x5503,a1)),f29(x5501,f6(x5502,x5504,f51(x5503,a1)),x5503))
% 0.70/0.85 [571]P31(f25(x5711,x5712))+~P31(f25(f5(x5713,x5711,f51(x5714,a1)),x5712))
% 0.70/0.85 [572]P31(f25(x5721,x5722))+~P31(f25(f5(x5721,x5723,f51(x5724,a1)),x5722))
% 0.70/0.85 [573]~P31(f41(x5731,x5732,x5734))+E(f29(x5731,f5(x5732,x5733,f51(x5734,a1)),x5734),f5(x5732,f29(x5731,x5733,x5734),f51(x5734,a1)))
% 0.70/0.85 [574]~P31(f41(x5741,x5743,x5744))+E(f29(x5741,f5(x5742,x5743,f51(x5744,a1)),x5744),f5(f29(x5741,x5742,x5744),x5743,f51(x5744,a1)))
% 0.70/0.85 [577]~P31(f41(x5771,x5773,x5774))+P31(f41(x5771,f4(x5772,x5773,f51(x5774,a1)),x5774))
% 0.70/0.85 [578]~P31(f41(x5781,x5782,x5784))+P31(f41(x5781,f4(x5782,x5783,f51(x5784,a1)),x5784))
% 0.70/0.85 [620]P31(f41(x6201,x6202,x6203))+~P31(f41(x6201,f5(x6204,x6202,f51(x6203,a1)),x6203))
% 0.70/0.85 [621]P31(f41(x6211,x6212,x6213))+~P31(f41(x6211,f5(x6212,x6214,f51(x6213,a1)),x6213))
% 0.70/0.85 [622]P31(f41(x6221,x6222,x6223))+~P31(f41(x6221,f6(x6222,x6224,f51(x6223,a1)),x6223))
% 0.70/0.85 [636]~P31(f41(x6361,x6362,x6363))+~P31(f41(x6361,f6(x6364,x6362,f51(x6363,a1)),x6363))
% 0.70/0.85 [675]P31(f41(x6751,x6752,x6753))+~P31(f25(f25(f42(f51(x6753,a1)),f29(x6751,x6754,x6753)),x6752))
% 0.70/0.85 [713]~P19(x7131)+P31(f25(f25(f42(x7131),f4(x7132,f5(x7133,x7134,x7131),x7131)),f5(f4(x7132,x7133,x7131),f4(x7132,x7134,x7131),x7131)))
% 0.70/0.85 [715]~P19(x7151)+P31(f25(f25(f42(x7151),f4(f5(x7152,x7153,x7151),f5(x7152,x7154,x7151),x7151)),f5(x7152,f4(x7153,x7154,x7151),x7151)))
% 0.70/0.85 [648]E(f5(x6481,f4(x6482,x6483,f51(x6484,a1)),f51(x6484,a1)),f4(f5(x6481,x6482,f51(x6484,a1)),x6483,f51(x6484,a1)))+~P31(f25(f25(f42(f51(x6484,a1)),x6483),x6481))
% 0.70/0.85 [655]P31(f25(f25(f42(f51(x6551,a1)),x6552),f29(x6553,x6554,x6551)))+~P31(f25(f25(f42(f51(x6551,a1)),x6552),x6554))
% 0.70/0.85 [658]~E(f5(x6583,f4(x6584,x6582,f51(x6581,a1)),f51(x6581,a1)),f4(f5(x6583,x6584,f51(x6581,a1)),x6582,f51(x6581,a1)))+P31(f25(f25(f42(f51(x6581,a1)),x6582),x6583))
% 0.70/0.85 [673]~P31(f25(f25(f42(f51(x6731,a1)),x6732),f5(x6734,x6733,f51(x6731,a1))))+P31(f25(f25(f42(f51(x6731,a1)),x6732),x6733))
% 0.70/0.85 [674]~P31(f25(f25(f42(f51(x6741,a1)),x6742),f5(x6743,x6744,f51(x6741,a1))))+P31(f25(f25(f42(f51(x6741,a1)),x6742),x6743))
% 0.70/0.85 [689]P31(f25(f25(f42(f51(x6891,a1)),f29(x6892,x6893,x6891)),f29(x6892,x6894,x6891)))+~P31(f25(f25(f42(f51(x6891,a1)),x6893),x6894))
% 0.70/0.85 [690]~P31(f25(f25(f42(f51(x6901,a1)),f29(x6904,x6902,x6901)),x6903))+P31(f25(f25(f42(f51(x6901,a1)),x6902),x6903))
% 0.70/0.85 [698]P31(f25(f25(f42(f51(x6981,a1)),x6982),x6983))+~P31(f25(f25(f42(f51(x6981,a1)),f4(x6984,x6982,f51(x6981,a1))),x6983))
% 0.70/0.85 [699]P31(f25(f25(f42(f51(x6991,a1)),x6992),x6993))+~P31(f25(f25(f42(f51(x6991,a1)),f4(x6992,x6994,f51(x6991,a1))),x6993))
% 0.70/0.85 [704]~P31(f25(f25(f42(f51(x7041,a1)),x7042),f4(x7043,x7044,f51(x7041,a1))))+P31(f25(f25(f42(f51(x7041,a1)),f6(x7042,x7043,f51(x7041,a1))),x7044))
% 0.70/0.85 [708]P31(f25(f25(f42(f51(x7081,a1)),x7082),f4(x7083,x7084,f51(x7081,a1))))+~P31(f25(f25(f42(f51(x7081,a1)),f6(x7082,x7083,f51(x7081,a1))),x7084))
% 0.70/0.85 [455]~E(f3(x4555,x4554),f25(x4552,x4551))+E(f29(x4551,f21(x4552,x4553,x4554),x4553),f21(x4552,x4553,x4554))
% 0.70/0.85 [505]~E(f3(x5055,x5054),f25(x5052,x5051))+P31(f41(x5051,f21(x5052,x5053,x5054),x5053))
% 0.70/0.85 [551]~E(f25(x5511,x5514),f23(x5513))+E(f6(f21(x5511,x5512,x5513),f29(x5514,x5515,x5512),f51(x5512,a1)),f6(f21(x5511,x5512,x5513),x5515,f51(x5512,a1)))
% 0.70/0.85 [656]~P31(f41(x6562,x6563,x6564))+E(f29(f25(x6561,x6562),f30(x6561,x6563,x6564,x6565),x6565),f30(x6561,x6563,x6564,x6565))
% 0.70/0.85 [665]~P31(f25(x6652,f25(x6651,x6655)))+P31(f25(f39(x6651,x6652,x6653,x6654),x6655))
% 0.70/0.85 [684]~P31(f41(x6842,x6843,x6844))+P31(f41(f25(x6841,x6842),f30(x6841,x6843,x6844,x6845),x6845))
% 0.70/0.85 [688]~P31(f41(f25(x6882,x6881),x6883,x6885))+P31(f41(x6881,f39(x6882,x6883,x6884,x6885),x6884))
% 0.70/0.85 [695]P31(f25(x6951,f25(x6952,x6953)))+~P31(f25(f39(x6952,x6951,x6954,x6955),x6953))
% 0.70/0.85 [707]~P31(f41(x7072,f39(x7071,x7073,x7075,x7074),x7075))+P31(f41(f25(x7071,x7072),x7073,x7074))
% 0.70/0.85 [717]~P5(x7171,f29(f25(f25(f25(f19(x7172),x7173),f25(f2(a44),f25(a7,x7174))),x7175),f26(f51(f47(x7172),a1)),f47(x7172)),x7172)+P5(x7171,f29(f25(f25(f25(f19(x7172),x7173),f25(a14,x7174)),x7175),f26(f51(f47(x7172),a1)),f47(x7172)),x7172)
% 0.70/0.85 [723]P5(x7231,f29(f25(f25(f25(f19(x7232),x7233),f25(a14,x7234)),x7235),f26(f51(f47(x7232),a1)),f47(x7232)),x7232)+~P5(f29(f25(f25(f25(f19(x7232),x7233),f25(a14,x7234)),x7235),x7231,f47(x7232)),f29(f25(f25(f25(f19(x7232),x7233),f25(f2(a44),f25(a7,x7234))),x7235),f26(f51(f47(x7232),a1)),f47(x7232)),x7232)
% 0.70/0.85 [724]E(f30(x7241,f10(x7242,x7243,x7241,x7244,x7245),x7244,x7245),x7243)+~P31(f25(f25(f42(f51(x7245,a1)),x7243),f30(x7241,x7242,x7244,x7245)))
% 0.70/0.85 [593]~P31(f41(x5935,x5934,x5933))+E(f30(f8(x5931,x5932,x5933),x5934,x5933,x5932),f29(x5931,f26(f51(x5932,a1)),x5932))
% 0.70/0.85 [728]~P4(f30(x7282,f28(f51(x7285,a1)),x7285,x7283),x7283)+P4(f30(f9(x7281,x7282,x7283,x7284,x7285),f28(f51(x7285,a1)),x7285,x7284),x7284)
% 0.70/0.85 [731]~P31(f25(f25(f42(f51(x7315,a1)),x7313),f30(x7314,x7312,x7311,x7315)))+P31(f25(f25(f42(f51(x7311,a1)),f10(x7312,x7313,x7314,x7311,x7315)),x7312))
% 0.70/0.85 [734]P5(x7341,f30(f13(f13(f9(f19(x7342),x7343,f51(x7342,f51(a48,a1)),f51(a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),a43),a14,a43,a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),x7344,a43,f51(x7342,f51(a48,a1)),f47(x7342)),x7345,a43,f47(x7342)),x7342)+~P5(f4(x7341,f30(f13(f13(f9(f19(x7342),x7343,f51(x7342,f51(a48,a1)),f51(a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),a43),a14,a43,a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),x7344,a43,f51(x7342,f51(a48,a1)),f47(x7342)),x7345,a43,f47(x7342)),f51(f47(x7342),a1)),f30(f13(f13(f9(f19(x7342),x7343,f51(x7342,f51(a48,a1)),f51(a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),a43),f9(f2(a44),a7,f49(a44),a44,a43),a43,a44,f51(f51(x7342,f51(a48,a1)),f47(x7342))),x7344,a43,f51(x7342,f51(a48,a1)),f47(x7342)),x7345,a43,f47(x7342)),x7342)
% 0.70/0.85 [735]P6(x7351,f30(f13(f13(f9(f19(x7352),x7353,f51(x7352,f51(a48,a1)),f51(a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),a43),a14,a43,a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),x7354,a43,f51(x7352,f51(a48,a1)),f47(x7352)),x7355,a43,f47(x7352)),x7352)+~P6(f4(x7351,f30(f13(f13(f9(f19(x7352),x7353,f51(x7352,f51(a48,a1)),f51(a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),a43),a14,a43,a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),x7354,a43,f51(x7352,f51(a48,a1)),f47(x7352)),x7355,a43,f47(x7352)),f51(f47(x7352),a1)),f30(f13(f13(f9(f19(x7352),x7353,f51(x7352,f51(a48,a1)),f51(a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),a43),f9(f2(a44),a7,f49(a44),a44,a43),a43,a44,f51(f51(x7352,f51(a48,a1)),f47(x7352))),x7354,a43,f51(x7352,f51(a48,a1)),f47(x7352)),x7355,a43,f47(x7352)),x7352)
% 0.70/0.85 [671]~P13(f40(x6711),f25(f25(f25(f19(x6712),x6713),f25(a14,x6714)),x6715),x6712)+P13(x6711,f25(f25(f25(f19(x6712),x6713),f25(f2(a44),f25(a7,x6714))),x6715),x6712)
% 0.70/0.85 [680]P13(f40(x6801),f25(f25(f25(f19(x6802),x6803),f25(a14,x6804)),x6805),x6802)+~P13(x6801,f25(f25(f25(f19(x6802),x6803),f25(f2(a44),f25(a7,x6804))),x6805),x6802)
% 0.70/0.85 [720]P31(f25(f25(f42(f51(x7201,a1)),f30(x7202,x7203,x7204,x7201)),f30(x7202,x7205,x7204,x7201)))+~P31(f25(f25(f42(f51(x7204,a1)),x7203),x7205))
% 0.70/0.85 [721]P31(f25(f25(f42(f51(x7211,a1)),f39(x7212,x7213,x7211,x7214)),f39(x7212,x7215,x7211,x7214)))+~P31(f25(f25(f42(f51(x7214,a1)),x7213),x7215))
% 0.70/0.85 [716]E(f25(x7161,x7162),x7163)+~P31(f41(x7162,f39(x7161,f29(x7163,f26(f51(x7164,a1)),x7164),x7165,x7164),x7165))
% 0.70/0.85 [501]E(x5011,x5012)+~E(f25(f25(f25(f19(x5013),x5014),x5015),x5011),f25(f25(f25(f19(x5013),x5016),x5017),x5012))
% 0.70/0.85 [502]E(x5021,x5022)+~E(f25(f25(f25(f19(x5023),x5024),x5021),x5025),f25(f25(f25(f19(x5023),x5026),x5022),x5027))
% 0.70/0.85 [503]E(x5031,x5032)+~E(f25(f25(f25(f19(x5033),x5031),x5034),x5035),f25(f25(f25(f19(x5033),x5032),x5036),x5037))
% 0.70/0.85 [339]~P10(x3392)+~P10(x3391)+P10(f51(x3391,x3392))
% 0.70/0.85 [340]P2(x3401)+~E(f25(a7,x3402),f3(x3401,a44))+~P1(a500)
% 0.70/0.85 [419]~P4(x4191,x4192)+P4(f18(x4191,f51(x4192,a1)),x4192)+~P4(f28(f51(x4192,a1)),x4192)
% 0.70/0.85 [427]~P4(x4272,x4271)+~P4(f18(x4272,f51(x4271,a1)),x4271)+P4(f28(f51(x4271,a1)),x4271)
% 0.70/0.85 [732]~P4(x7322,a43)+P5(x7321,f30(f9(a20,a14,a44,f47(a48),a43),x7322,a43,f47(a48)),a48)+~P5(f4(x7321,f30(f9(a20,a14,a44,f47(a48),a43),x7322,a43,f47(a48)),f51(f47(a48),a1)),f30(f9(a20,f9(f2(a44),a7,f49(a44),a44,a43),a44,f47(a48),a43),x7322,a43,f47(a48)),a48)
% 0.70/0.85 [347]~P8(x3473)+E(x3471,x3472)+~E(f18(x3471,x3473),f18(x3472,x3473))
% 0.70/0.85 [348]~P25(x3483)+E(x3481,x3482)+~E(f18(x3481,x3483),f18(x3482,x3483))
% 0.70/0.85 [349]~P18(x3493)+E(x3491,x3492)+~E(f31(x3491,x3493),f31(x3492,x3493))
% 0.70/0.85 [350]~P18(x3503)+E(x3501,x3502)+~E(f36(x3501,x3503),f36(x3502,x3503))
% 0.70/0.85 [351]~P18(x3513)+E(x3511,x3512)+~E(f32(x3511,x3513),f32(x3512,x3513))
% 0.70/0.85 [352]~P18(x3523)+E(x3521,x3522)+~E(f33(x3521,x3523),f33(x3522,x3523))
% 0.70/0.85 [377]~P21(x3772)+~E(f4(x3773,x3771,x3772),f26(x3772))+E(x3771,f26(x3772))
% 0.70/0.85 [378]~P21(x3782)+~E(f5(x3783,x3781,x3782),f28(x3782))+E(x3781,f28(x3782))
% 0.70/0.85 [379]~P21(x3792)+~E(f4(x3791,x3793,x3792),f26(x3792))+E(x3791,f26(x3792))
% 0.70/0.85 [380]~P21(x3802)+~E(f5(x3801,x3803,x3802),f28(x3802))+E(x3801,f28(x3802))
% 0.70/0.85 [417]~P4(x4172,x4173)+~P4(x4171,x4173)+P4(f4(x4171,x4172,f51(x4173,a1)),x4173)
% 0.70/0.85 [464]P4(x4641,x4642)+~P4(x4643,x4642)+~P4(f6(x4641,x4643,f51(x4642,a1)),x4642)
% 0.70/0.85 [494]~P11(x4941)+~P31(f41(x4942,x4943,x4941))+P31(f25(f25(f42(x4941),x4942),f15(x4943,x4941)))
% 0.70/0.85 [523]~P28(x5231)+~P31(f25(f25(f42(x5231),x5233),f18(x5232,x5231)))+P31(f25(f25(f42(x5231),x5232),f18(x5233,x5231)))
% 0.70/0.85 [408]~P7(x4083)+E(f34(x4081,x4082,x4083),f26(f51(x4083,a1)))+P31(f25(f25(f42(x4083),x4081),x4082))
% 0.70/0.85 [409]~P7(x4091)+E(f26(f51(x4091,a1)),f34(x4092,x4093,x4091))+P31(f25(f25(f42(x4091),x4092),x4093))
% 0.70/0.85 [410]~P23(x4101)+~E(f4(x4102,x4103,x4101),x4103)+P31(f25(f25(f42(x4101),x4102),x4103))
% 0.70/0.85 [411]~P22(x4111)+~E(f5(x4112,x4113,x4111),x4112)+P31(f25(f25(f42(x4111),x4112),x4113))
% 0.70/0.85 [420]~P18(x4201)+P31(f25(f25(f42(x4201),x4203),x4202))+P31(f25(f25(f42(x4201),x4202),x4203))
% 0.70/0.85 [430]~P23(x4303)+E(f4(x4301,x4302,x4303),x4302)+~P31(f25(f25(f42(x4303),x4301),x4302))
% 0.70/0.85 [431]~P23(x4313)+E(f4(x4311,x4312,x4313),x4311)+~P31(f25(f25(f42(x4313),x4312),x4311))
% 0.70/0.85 [432]~P22(x4323)+E(f5(x4321,x4322,x4323),x4322)+~P31(f25(f25(f42(x4323),x4322),x4321))
% 0.70/0.85 [433]~P22(x4333)+E(f5(x4331,x4332,x4333),x4331)+~P31(f25(f25(f42(x4333),x4331),x4332))
% 0.70/0.85 [452]~P7(x4523)+E(f37(x4521,x4522,x4523),f26(f51(x4523,a1)))+~P31(f25(f25(f42(x4523),x4522),x4521))
% 0.70/0.85 [453]~P7(x4533)+E(f38(x4531,x4532,x4533),f26(f51(x4533,a1)))+~P31(f25(f25(f42(x4533),x4532),x4531))
% 0.70/0.85 [454]~P7(x4543)+E(f35(x4541,x4542,x4543),f26(f51(x4543,a1)))+~P31(f25(f25(f42(x4543),x4542),x4541))
% 0.70/0.85 [465]~P7(x4653)+~E(f34(x4651,x4652,x4653),f26(f51(x4653,a1)))+~P31(f25(f25(f42(x4653),x4651),x4652))
% 0.70/0.85 [466]~P7(x4661)+~E(f26(f51(x4661,a1)),f34(x4662,x4663,x4661))+~P31(f25(f25(f42(x4661),x4662),x4663))
% 0.70/0.85 [492]~P16(x4923)+P31(f41(x4921,f32(x4922,x4923),x4923))+~P31(f25(f25(f42(x4923),x4922),x4921))
% 0.70/0.85 [493]~P16(x4933)+P31(f41(x4931,f33(x4932,x4933),x4933))+~P31(f25(f25(f42(x4933),x4931),x4932))
% 0.70/0.85 [506]~P16(x5061)+~P31(f41(x5063,f32(x5062,x5061),x5061))+P31(f25(f25(f42(x5061),x5062),x5063))
% 0.70/0.85 [507]~P16(x5071)+~P31(f41(x5072,f33(x5073,x5071),x5071))+P31(f25(f25(f42(x5071),x5072),x5073))
% 0.70/0.85 [514]~P18(x5142)+E(f4(f36(x5141,x5142),f34(x5141,x5143,x5142),f51(x5142,a1)),f33(x5143,x5142))+~P31(f25(f25(f42(x5142),x5141),x5143))
% 0.70/0.85 [515]~P18(x5152)+E(f4(f36(x5151,x5152),f35(x5151,x5153,x5152),f51(x5152,a1)),f36(x5153,x5152))+~P31(f25(f25(f42(x5152),x5151),x5153))
% 0.70/0.85 [516]~P18(x5162)+E(f4(f33(x5161,x5162),f37(x5161,x5163,x5162),f51(x5162,a1)),f33(x5163,x5162))+~P31(f25(f25(f42(x5162),x5161),x5163))
% 0.70/0.85 [517]~P18(x5173)+E(f4(f34(x5171,x5172,x5173),f31(x5172,x5173),f51(x5173,a1)),f32(x5171,x5173))+~P31(f25(f25(f42(x5173),x5171),x5172))
% 0.70/0.85 [518]~P18(x5183)+E(f4(f37(x5181,x5182,x5183),f31(x5182,x5183),f51(x5183,a1)),f31(x5181,x5183))+~P31(f25(f25(f42(x5183),x5181),x5182))
% 0.70/0.85 [519]~P18(x5193)+E(f4(f35(x5191,x5192,x5193),f32(x5192,x5193),f51(x5193,a1)),f32(x5191,x5193))+~P31(f25(f25(f42(x5193),x5191),x5192))
% 0.70/0.85 [533]~P28(x5331)+P31(f25(f25(f42(x5331),f18(x5332,x5331)),f18(x5333,x5331)))+~P31(f25(f25(f42(x5331),x5333),x5332))
% 0.70/0.85 [555]~P28(x5551)+~P31(f25(f25(f42(x5551),f18(x5553,x5551)),f18(x5552,x5551)))+P31(f25(f25(f42(x5551),x5552),x5553))
% 0.70/0.85 [569]~P28(x5691)+~P31(f25(f25(f42(x5691),f18(x5693,x5691)),x5692))+P31(f25(f25(f42(x5691),f18(x5692,x5691)),x5693))
% 0.70/0.85 [586]~P18(x5861)+P31(f25(f25(f42(f51(x5861,a1)),f31(x5862,x5861)),f31(x5863,x5861)))+~P31(f25(f25(f42(x5861),x5863),x5862))
% 0.70/0.85 [587]~P18(x5871)+P31(f25(f25(f42(f51(x5871,a1)),f36(x5872,x5871)),f36(x5873,x5871)))+~P31(f25(f25(f42(x5871),x5872),x5873))
% 0.70/0.85 [588]~P7(x5881)+P31(f25(f25(f42(f51(x5881,a1)),f32(x5882,x5881)),f32(x5883,x5881)))+~P31(f25(f25(f42(x5881),x5883),x5882))
% 0.70/0.85 [589]~P7(x5891)+P31(f25(f25(f42(f51(x5891,a1)),f33(x5892,x5891)),f33(x5893,x5891)))+~P31(f25(f25(f42(x5891),x5892),x5893))
% 0.70/0.85 [591]~P18(x5913)+E(f4(f35(x5911,x5912,x5913),f29(x5912,f26(f51(x5913,a1)),x5913),f51(x5913,a1)),f34(x5911,x5912,x5913))+~P31(f25(f25(f42(x5913),x5911),x5912))
% 0.70/0.85 [592]~P18(x5922)+E(f4(f29(x5921,f26(f51(x5922,a1)),x5922),f37(x5921,x5923,x5922),f51(x5922,a1)),f34(x5921,x5923,x5922))+~P31(f25(f25(f42(x5922),x5921),x5923))
% 0.70/0.85 [632]~P7(x6321)+~P31(f25(f25(f42(f51(x6321,a1)),f32(x6323,x6321)),f32(x6322,x6321)))+P31(f25(f25(f42(x6321),x6322),x6323))
% 0.70/0.85 [633]~P7(x6331)+~P31(f25(f25(f42(f51(x6331,a1)),f33(x6332,x6331)),f33(x6333,x6331)))+P31(f25(f25(f42(x6331),x6332),x6333))
% 0.70/0.85 [634]~P18(x6341)+~P31(f25(f25(f42(f51(x6341,a1)),f31(x6343,x6341)),f31(x6342,x6341)))+P31(f25(f25(f42(x6341),x6342),x6343))
% 0.70/0.85 [635]~P18(x6351)+~P31(f25(f25(f42(f51(x6351,a1)),f36(x6352,x6351)),f36(x6353,x6351)))+P31(f25(f25(f42(x6351),x6352),x6353))
% 0.70/0.85 [714]~P6(f26(f51(f47(a48),a1)),f29(f25(f25(f25(f19(a48),x7141),x7142),x7143),f26(f51(f47(a48),a1)),f47(a48)),a48)+P5(f26(f51(f47(a48),a1)),f29(f25(f25(f25(f19(a48),x7141),x7142),x7143),f26(f51(f47(a48),a1)),f47(a48)),a48)+~P5(f26(f51(f47(a48),a1)),f29(f25(a20,x7142),f26(f51(f47(a48),a1)),f47(a48)),a48)
% 0.70/0.85 [543]P4(x5431,x5432)+~P4(x5433,x5432)+~P31(f25(f25(f42(f51(x5432,a1)),x5431),x5433))
% 0.70/0.85 [647]E(x6471,x6472)+~P31(f25(f25(f42(f51(x6473,a1)),x6472),x6471))+~P31(f25(f25(f42(f51(x6473,a1)),x6471),x6472))
% 0.70/0.85 [677]E(x6771,f26(f51(x6772,a1)))+E(x6771,f29(x6773,f26(f51(x6772,a1)),x6772))+~P31(f25(f25(f42(f51(x6772,a1)),x6771),f29(x6773,f26(f51(x6772,a1)),x6772)))
% 0.70/0.85 [428]~P5(x4281,x4284,x4283)+P5(x4281,x4282,x4283)+~P5(x4284,x4282,x4283)
% 0.70/0.85 [628]~P12(x6281,x6282,x6283,x6284)+E(x6281,x6282)+~P12(x6282,x6281,x6283,x6284)
% 0.70/0.85 [400]~P26(x4004)+E(x4001,x4002)+~E(f6(x4003,x4003,x4004),f6(x4001,x4002,x4004))
% 0.70/0.85 [401]~P26(x4013)+E(x4011,x4012)+~E(f6(x4011,x4012,x4013),f6(x4014,x4014,x4013))
% 0.70/0.85 [525]E(x5251,x5252)+P31(f25(x5253,x5251))+~P31(f25(f29(x5252,x5253,x5254),x5251))
% 0.70/0.85 [553]~P31(f41(x5534,x5532,x5533))+~P31(f41(x5534,x5531,x5533))+~E(f5(x5531,x5532,f51(x5533,a1)),f26(f51(x5533,a1)))
% 0.70/0.85 [590]E(x5901,x5902)+P31(f41(x5901,x5903,x5904))+~P31(f41(x5901,f29(x5902,x5903,x5904),x5904))
% 0.70/0.85 [625]~P5(x6251,x6253,x6254)+P5(x6251,f29(x6252,x6253,f47(x6254)),x6254)+~P5(x6251,f29(x6252,f26(f51(f47(x6254),a1)),f47(x6254)),x6254)
% 0.70/0.85 [491]E(x4911,x4912)+~P31(f25(f25(f22(x4913),x4914),x4912))+~P31(f25(f25(f22(x4913),x4914),x4911))
% 0.70/0.85 [527]~P31(f25(x5272,x5274))+~P31(f25(x5271,x5274))+P31(f25(f5(x5271,x5272,f51(x5273,a1)),x5274))
% 0.70/0.85 [544]~P23(x5441)+P31(f25(f25(f42(x5441),x5442),f4(x5443,x5444,x5441)))+~P31(f25(f25(f42(x5441),x5442),x5444))
% 0.70/0.85 [545]~P23(x5451)+P31(f25(f25(f42(x5451),x5452),f4(x5453,x5454,x5451)))+~P31(f25(f25(f42(x5451),x5452),x5453))
% 0.70/0.85 [554]~P18(x5543)+E(f6(f35(x5541,x5542,x5543),f35(x5541,x5544,x5543),f51(x5543,a1)),f35(x5544,x5542,x5543))+~P31(f25(f25(f42(x5543),x5541),x5544))
% 0.70/0.85 [576]P31(f25(x5761,x5762))+P31(f25(x5763,x5762))+~P31(f25(f4(x5761,x5763,f51(x5764,a1)),x5762))
% 0.70/0.85 [583]~P22(x5831)+~P31(f25(f25(f42(x5831),x5832),f5(x5834,x5833,x5831)))+P31(f25(f25(f42(x5831),x5832),x5833))
% 0.70/0.85 [585]~P22(x5851)+~P31(f25(f25(f42(x5851),x5852),f5(x5853,x5854,x5851)))+P31(f25(f25(f42(x5851),x5852),x5853))
% 0.70/0.85 [608]~P31(f41(x6081,x6084,x6083))+P31(f41(x6081,x6082,x6083))+P31(f41(x6081,f6(x6084,x6082,f51(x6083,a1)),x6083))
% 0.70/0.85 [609]~P22(x6091)+~P31(f25(f25(f42(x6091),x6093),x6094))+P31(f25(f25(f42(x6091),f5(x6092,x6093,x6091)),x6094))
% 0.70/0.85 [610]~P22(x6101)+~P31(f25(f25(f42(x6101),x6102),x6104))+P31(f25(f25(f42(x6101),f5(x6102,x6103,x6101)),x6104))
% 0.70/0.85 [624]~P31(f41(x6241,x6243,x6244))+~P31(f41(x6241,x6242,x6244))+P31(f41(x6241,f5(x6242,x6243,f51(x6244,a1)),x6244))
% 0.70/0.85 [645]P31(f41(x6451,x6452,x6453))+P31(f41(x6451,x6454,x6453))+~P31(f41(x6451,f4(x6452,x6454,f51(x6453,a1)),x6453))
% 0.70/0.85 [652]~P23(x6521)+~P31(f25(f25(f42(x6521),f4(x6524,x6522,x6521)),x6523))+P31(f25(f25(f42(x6521),x6522),x6523))
% 0.70/0.85 [654]~P23(x6541)+~P31(f25(f25(f42(x6541),f4(x6542,x6544,x6541)),x6543))+P31(f25(f25(f42(x6541),x6542),x6543))
% 0.70/0.85 [558]P31(f25(x5581,x5582))+~P31(f25(x5583,x5582))+~P31(f25(f25(f42(f51(x5584,a1)),x5583),x5581))
% 0.70/0.85 [615]P31(f41(x6151,x6152,x6153))+~P31(f41(x6151,x6154,x6153))+~P31(f25(f25(f42(f51(x6153,a1)),x6154),x6152))
% 0.70/0.85 [664]E(f6(x6641,f6(x6642,x6643,f51(x6644,a1)),f51(x6644,a1)),x6643)+~P31(f25(f25(f42(f51(x6644,a1)),x6643),x6641))+~P31(f25(f25(f42(f51(x6644,a1)),x6641),x6642))
% 0.70/0.85 [670]P31(f41(x6701,x6702,x6703))+~P31(f25(f25(f42(f51(x6703,a1)),x6702),f29(x6701,x6704,x6703)))+P31(f25(f25(f42(f51(x6703,a1)),x6702),x6704))
% 0.70/0.85 [672]~P31(f25(f25(f42(f51(x6721,a1)),x6722),x6724))+P31(f25(f25(f42(f51(x6721,a1)),x6722),x6723))+~P31(f25(f25(f42(f51(x6721,a1)),x6724),x6723))
% 0.70/0.85 [685]~P31(f41(x6852,x6854,x6851))+P31(f25(f25(f42(f51(x6851,a1)),f29(x6852,x6853,x6851)),x6854))+~P31(f25(f25(f42(f51(x6851,a1)),x6853),x6854))
% 0.70/0.85 [694]P31(f25(f25(f42(f51(x6941,a1)),x6942),f5(x6943,x6944,f51(x6941,a1))))+~P31(f25(f25(f42(f51(x6941,a1)),x6942),x6943))+~P31(f25(f25(f42(f51(x6941,a1)),x6942),x6944))
% 0.70/0.85 [703]~P31(f25(f25(f42(f51(x7031,a1)),x7033),x7034))+~P31(f25(f25(f42(f51(x7031,a1)),x7032),x7034))+P31(f25(f25(f42(f51(x7031,a1)),f4(x7032,x7033,f51(x7031,a1))),x7034))
% 0.70/0.85 [718]~P31(f41(x7183,x7182,x7181))+~P31(f25(f25(f42(f51(x7181,a1)),x7182),f29(x7183,x7184,x7181)))+P31(f25(f25(f42(f51(x7181,a1)),f6(x7182,f29(x7183,f26(f51(x7181,a1)),x7181),f51(x7181,a1))),x7184))
% 0.70/0.85 [726]~P31(f41(x7263,x7262,x7261))+P31(f25(f25(f42(f51(x7261,a1)),x7262),f29(x7263,x7264,x7261)))+~P31(f25(f25(f42(f51(x7261,a1)),f6(x7262,f29(x7263,f26(f51(x7261,a1)),x7261),f51(x7261,a1))),x7264))
% 0.70/0.85 [729]~P16(x7292)+~P31(f25(f25(f42(x7292),f25(x7293,f11(x7293,x7294,x7291,x7292))),f25(x7294,f11(x7293,x7294,x7291,x7292))))+P31(f25(f25(f42(f51(x7291,x7292)),x7293),x7294))
% 0.70/0.85 [730]~P16(x7302)+~P31(f25(f25(f42(x7302),f25(x7303,f12(x7303,x7304,x7301,x7302))),f25(x7304,f12(x7303,x7304,x7301,x7302))))+P31(f25(f25(f42(f51(x7301,x7302)),x7303),x7304))
% 0.70/0.85 [616]P5(x6161,x6162,x6163)+~P5(x6164,x6162,x6163)+~P31(f25(f25(f42(f51(f47(x6163),a1)),x6164),x6161))
% 0.70/0.85 [617]P5(x6171,x6172,x6173)+~P5(x6171,x6174,x6173)+~P31(f25(f25(f42(f51(f47(x6173),a1)),x6172),x6174))
% 0.70/0.85 [659]~P12(x6591,x6595,x6593,x6594)+P12(x6591,x6592,x6593,x6594)+~P12(x6595,x6592,x6593,x6594)
% 0.70/0.85 [650]~P12(x6501,x6503,x6504,x6505)+E(f25(x6501,x6502),f25(x6503,x6502))+~P31(f41(x6502,f21(x6501,x6504,x6505),x6504))
% 0.70/0.85 [709]P4(x7091,x7092)+~P4(x7093,x7094)+~P31(f25(f25(f42(f51(x7092,a1)),x7091),f30(x7095,x7093,x7094,x7092)))
% 0.70/0.85 [660]~P7(x6601)+P31(f25(f25(f42(f51(x6601,a1)),f34(x6602,x6603,x6601)),f34(x6604,x6605,x6601)))+P31(f25(f25(f42(x6601),x6602),x6603))
% 0.70/0.85 [618]~P16(x6181)+P31(f25(f25(f42(x6181),f25(x6182,x6183)),f25(x6184,x6183)))+~P31(f25(f25(f42(f51(x6185,x6181)),x6182),x6184))
% 0.70/0.85 [637]E(x6371,x6372)+E(x6371,x6373)+~E(f29(x6374,f29(x6371,f26(f51(x6375,a1)),x6375),x6375),f29(x6373,f29(x6372,f26(f51(x6375,a1)),x6375),x6375))
% 0.70/0.85 [638]E(x6381,x6382)+E(x6383,x6382)+~E(f29(x6383,f29(x6381,f26(f51(x6384,a1)),x6384),x6384),f29(x6385,f29(x6382,f26(f51(x6384,a1)),x6384),x6384))
% 0.70/0.85 [639]E(x6391,x6392)+E(x6393,x6392)+~E(f29(x6393,f29(x6391,f26(f51(x6394,a1)),x6394),x6394),f29(x6392,f29(x6395,f26(f51(x6394,a1)),x6394),x6394))
% 0.70/0.85 [640]E(x6401,x6402)+E(x6401,x6403)+~E(f29(x6401,f29(x6404,f26(f51(x6405,a1)),x6405),x6405),f29(x6403,f29(x6402,f26(f51(x6405,a1)),x6405),x6405))
% 0.70/0.85 [710]P31(f25(f25(f42(f51(x7101,a1)),f4(x7102,x7103,f51(x7101,a1))),f4(x7104,x7105,f51(x7101,a1))))+~P31(f25(f25(f42(f51(x7101,a1)),x7103),x7105))+~P31(f25(f25(f42(f51(x7101,a1)),x7102),x7104))
% 0.70/0.85 [711]P31(f25(f25(f42(f51(x7111,a1)),f5(x7112,x7113,f51(x7111,a1))),f5(x7114,x7115,f51(x7111,a1))))+~P31(f25(f25(f42(f51(x7111,a1)),x7113),x7115))+~P31(f25(f25(f42(f51(x7111,a1)),x7112),x7114))
% 0.70/0.85 [712]P31(f25(f25(f42(f51(x7121,a1)),f6(x7122,x7123,f51(x7121,a1))),f6(x7124,x7125,f51(x7121,a1))))+~P31(f25(f25(f42(f51(x7121,a1)),x7125),x7123))+~P31(f25(f25(f42(f51(x7121,a1)),x7122),x7124))
% 0.70/0.85 [722]~P31(f41(x7222,x7225,x7226))+P31(f41(f25(x7221,x7222),x7223,x7224))+~P31(f25(f25(f42(f51(x7224,a1)),f30(x7221,x7225,x7226,x7224)),x7223))
% 0.70/0.85 [733]P5(x7331,f29(f25(f25(f25(f19(x7332),f25(x7333,x7334)),f25(a14,x7334)),f25(x7335,x7334)),f26(f51(f47(x7332),a1)),f47(x7332)),x7332)+~P5(f4(x7331,f30(f13(f13(f9(f19(x7332),x7333,f51(x7332,f51(a48,a1)),f51(a44,f51(f51(x7332,f51(a48,a1)),f47(x7332))),a43),a14,a43,a44,f51(f51(x7332,f51(a48,a1)),f47(x7332))),x7335,a43,f51(x7332,f51(a48,a1)),f47(x7332)),x7336,a43,f47(x7332)),f51(f47(x7332),a1)),f30(f13(f13(f9(f19(x7332),x7333,f51(x7332,f51(a48,a1)),f51(a44,f51(f51(x7332,f51(a48,a1)),f47(x7332))),a43),f9(f2(a44),a7,f49(a44),a44,a43),a43,a44,f51(f51(x7332,f51(a48,a1)),f47(x7332))),x7335,a43,f51(x7332,f51(a48,a1)),f47(x7332)),x7336,a43,f47(x7332)),x7332)+~P31(f41(x7334,x7336,a43))
% 0.70/0.85 [521]~P2(x5211)+~P1(a500)+~P3(a500)+P5(f26(f51(f47(a48),a1)),f29(f25(a20,x5211),f26(f51(f47(a48),a1)),f47(a48)),a48)
% 0.70/0.85 [421]~P18(x4212)+~P4(x4211,x4212)+E(x4211,f26(f51(x4212,a1)))+P31(f41(f16(x4211,x4212),x4211,x4212))
% 0.70/0.85 [422]~P18(x4222)+~P4(x4221,x4222)+E(x4221,f26(f51(x4222,a1)))+P31(f41(f17(x4221,x4222),x4221,x4222))
% 0.70/0.85 [601]~P2(x6012)+~P3(a500)+P5(x6011,f29(f25(a20,x6012),f26(f51(f47(a48),a1)),f47(a48)),a48)+P31(f41(f54(x6011),f21(a7,a43,a44),a43))
% 0.70/0.85 [663]~P2(x6632)+~P3(a500)+P5(x6631,f29(f25(a20,x6632),f26(f51(f47(a48),a1)),f47(a48)),a48)+~P5(x6631,f29(f25(a20,f25(a14,f54(x6631))),f26(f51(f47(a48),a1)),f47(a48)),a48)
% 0.70/0.85 [414]~P8(x4142)+~E(f4(x4141,x4143,x4142),f28(x4142))+~E(f5(x4141,x4143,x4142),f26(x4142))+E(f18(x4141,x4142),x4143)
% 0.70/0.85 [499]~P18(x4991)+~P4(x4993,x4991)+~P31(f41(x4992,x4993,x4991))+P31(f25(f25(f42(x4991),x4992),f16(x4993,x4991)))
% 0.70/0.85 [498]E(x4981,x4982)+~P7(x4983)+~P31(f25(f25(f42(x4983),x4982),x4981))+~P31(f25(f25(f42(x4983),x4981),x4982))
% 0.70/0.85 [524]~P18(x5241)+~P4(x5242,x5241)+~P31(f41(x5243,x5242,x5241))+P31(f25(f25(f42(x5241),f17(x5242,x5241)),x5243))
% 0.70/0.85 [513]E(x5131,x5132)+~E(f29(x5133,x5131,x5134),f29(x5133,x5132,x5134))+P31(f41(x5133,x5131,x5134))+P31(f41(x5133,x5132,x5134))
% 0.70/0.85 [534]~P7(x5341)+~P31(f25(f25(f42(x5341),x5342),x5344))+P31(f25(f25(f42(x5341),x5342),x5343))+~P31(f25(f25(f42(x5341),x5344),x5343))
% 0.70/0.85 [535]~P30(x5351)+~P31(f25(f25(f42(x5351),x5352),x5354))+P31(f25(f25(f42(x5351),x5352),x5353))+~P31(f25(f25(f42(x5351),x5354),x5353))
% 0.70/0.85 [599]~P22(x5991)+P31(f25(f25(f42(x5991),x5992),f5(x5993,x5994,x5991)))+~P31(f25(f25(f42(x5991),x5992),x5994))+~P31(f25(f25(f42(x5991),x5992),x5993))
% 0.70/0.85 [603]~P18(x6033)+E(f4(f34(x6031,x6032,x6033),f37(x6032,x6034,x6033),f51(x6033,a1)),f34(x6031,x6034,x6033))+~P31(f25(f25(f42(x6033),x6032),x6034))+~P31(f25(f25(f42(x6033),x6031),x6032))
% 0.70/0.85 [604]~P18(x6043)+E(f4(f37(x6041,x6042,x6043),f37(x6042,x6044,x6043),f51(x6043,a1)),f37(x6041,x6044,x6043))+~P31(f25(f25(f42(x6043),x6042),x6044))+~P31(f25(f25(f42(x6043),x6041),x6042))
% 0.70/0.85 [605]~P18(x6053)+E(f4(f35(x6051,x6052,x6053),f34(x6052,x6054,x6053),f51(x6053,a1)),f34(x6051,x6054,x6053))+~P31(f25(f25(f42(x6053),x6052),x6054))+~P31(f25(f25(f42(x6053),x6051),x6052))
% 0.70/0.85 [606]~P18(x6063)+E(f4(f35(x6061,x6062,x6063),f35(x6062,x6064,x6063),f51(x6063,a1)),f35(x6061,x6064,x6063))+~P31(f25(f25(f42(x6063),x6062),x6064))+~P31(f25(f25(f42(x6063),x6061),x6062))
% 0.70/0.85 [644]~P23(x6441)+~P31(f25(f25(f42(x6441),x6443),x6444))+~P31(f25(f25(f42(x6441),x6442),x6444))+P31(f25(f25(f42(x6441),f4(x6442,x6443,x6441)),x6444))
% 0.70/0.85 [536]~P28(x5361)+~E(f6(x5364,x5365,x5361),f6(x5363,x5362,x5361))+~P31(f25(f25(f42(x5361),x5365),x5364))+P31(f25(f25(f42(x5361),x5362),x5363))
% 0.70/0.85 [537]~P28(x5371)+~E(f6(x5373,x5372,x5371),f6(x5374,x5375,x5371))+~P31(f25(f25(f42(x5371),x5375),x5374))+P31(f25(f25(f42(x5371),x5372),x5373))
% 0.70/0.85 [678]~P7(x6781)+P31(f25(f25(f42(f51(x6781,a1)),f34(x6782,x6783,x6781)),f34(x6784,x6785,x6781)))+~P31(f25(f25(f42(x6781),x6784),x6782))+~P31(f25(f25(f42(x6781),x6783),x6785))
% 0.70/0.85 [696]~P18(x6961)+~P31(f25(f25(f42(f51(x6961,a1)),f35(x6963,x6962,x6961)),f35(x6964,x6965,x6961)))+P31(f25(f25(f42(x6961),x6962),x6963))+P31(f25(f25(f42(x6961),x6964),x6963))
% 0.70/0.85 [697]~P18(x6971)+~P31(f25(f25(f42(f51(x6971,a1)),f35(x6973,x6972,x6971)),f35(x6975,x6974,x6971)))+P31(f25(f25(f42(x6971),x6972),x6973))+P31(f25(f25(f42(x6971),x6972),x6974))
% 0.70/0.85 [700]~P7(x7001)+~P31(f25(f25(f42(f51(x7001,a1)),f34(x7004,x7002,x7001)),f34(x7005,x7003,x7001)))+P31(f25(f25(f42(x7001),x7002),x7003))+~P31(f25(f25(f42(x7001),x7004),x7002))
% 0.70/0.85 [701]~P7(x7011)+~P31(f25(f25(f42(f51(x7011,a1)),f34(x7013,x7014,x7011)),f34(x7012,x7015,x7011)))+P31(f25(f25(f42(x7011),x7012),x7013))+~P31(f25(f25(f42(x7011),x7013),x7014))
% 0.70/0.85 [736]~P4(x7367,a45)+P5(x7361,f29(f25(f25(f25(f19(a46),f25(x7362,f55(x7361,x7363,x7362,x7364,x7365,x7366))),f25(x7366,f55(x7361,x7363,x7362,x7364,x7365,x7366))),f25(x7365,f55(x7361,x7363,x7362,x7364,x7365,x7366))),f26(f51(f47(a46),a1)),f47(a46)),a46)+~P5(x7361,f30(f13(f13(f9(f19(a46),x7362,f51(a46,f51(a48,a1)),f51(a44,f51(f51(a46,f51(a48,a1)),f47(a46))),a45),x7366,a45,a44,f51(f51(a46,f51(a48,a1)),f47(a46))),x7365,a45,f51(a46,f51(a48,a1)),f47(a46)),x7367,a45,f47(a46)),a46)+P5(x7361,f30(f13(f13(f9(f19(a46),x7363,f51(a46,f51(a48,a1)),f51(a44,f51(f51(a46,f51(a48,a1)),f47(a46))),a45),x7366,a45,a44,f51(f51(a46,f51(a48,a1)),f47(a46))),x7364,a45,f51(a46,f51(a48,a1)),f47(a46)),x7367,a45,f47(a46)),a46)
% 0.70/0.85 [737]~P4(x7375,a45)+~P5(x7371,f29(f25(f25(f25(f19(a46),f25(x7372,f55(x7371,x7372,x7376,x7374,x7377,x7373))),f25(x7373,f55(x7371,x7372,x7376,x7374,x7377,x7373))),f25(x7374,f55(x7371,x7372,x7376,x7374,x7377,x7373))),f26(f51(f47(a46),a1)),f47(a46)),a46)+~P5(x7371,f30(f13(f13(f9(f19(a46),x7376,f51(a46,f51(a48,a1)),f51(a44,f51(f51(a46,f51(a48,a1)),f47(a46))),a45),x7373,a45,a44,f51(f51(a46,f51(a48,a1)),f47(a46))),x7377,a45,f51(a46,f51(a48,a1)),f47(a46)),x7375,a45,f47(a46)),a46)+P5(x7371,f30(f13(f13(f9(f19(a46),x7372,f51(a46,f51(a48,a1)),f51(a44,f51(f51(a46,f51(a48,a1)),f47(a46))),a45),x7373,a45,a44,f51(f51(a46,f51(a48,a1)),f47(a46))),x7374,a45,f51(a46,f51(a48,a1)),f47(a46)),x7375,a45,f47(a46)),a46)
% 0.70/0.85 [657]~P15(x6574,x6575,x6576,x6573)+~P13(x6576,f25(f25(f25(f19(a45),x6577),x6574),x6571),a45)+P31(f25(f25(x6571,x6572),x6573))+~P31(f25(f25(x6577,x6572),x6575))
% 0.70/0.85 [626]~P18(x6262)+~P4(x6263,x6262)+E(x6261,f26(f51(x6262,a1)))+P31(f25(f25(f42(x6262),f17(x6263,x6262)),f17(x6261,x6262)))+~P31(f25(f25(f42(f51(x6262,a1)),x6261),x6263))
% 0.70/0.85 [627]~P18(x6272)+~P4(x6273,x6272)+E(x6271,f26(f51(x6272,a1)))+P31(f25(f25(f42(x6272),f16(x6271,x6272)),f16(x6273,x6272)))+~P31(f25(f25(f42(f51(x6272,a1)),x6271),x6273))
% 0.70/0.85 %EqnAxiom
% 0.70/0.85 [1]E(x11,x11)
% 0.70/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.85 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.70/0.85 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.70/0.85 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.70/0.85 [7]~E(x71,x72)+E(f25(x71,x73),f25(x72,x73))
% 0.70/0.85 [8]~E(x81,x82)+E(f25(x83,x81),f25(x83,x82))
% 0.70/0.85 [9]~E(x91,x92)+E(f51(x91,x93),f51(x92,x93))
% 0.70/0.85 [10]~E(x101,x102)+E(f51(x103,x101),f51(x103,x102))
% 0.70/0.85 [11]~E(x111,x112)+E(f26(x111),f26(x112))
% 0.70/0.85 [12]~E(x121,x122)+E(f42(x121),f42(x122))
% 0.70/0.85 [13]~E(x131,x132)+E(f4(x131,x133,x134),f4(x132,x133,x134))
% 0.70/0.85 [14]~E(x141,x142)+E(f4(x143,x141,x144),f4(x143,x142,x144))
% 0.70/0.85 [15]~E(x151,x152)+E(f4(x153,x154,x151),f4(x153,x154,x152))
% 0.70/0.85 [16]~E(x161,x162)+E(f29(x161,x163,x164),f29(x162,x163,x164))
% 0.70/0.85 [17]~E(x171,x172)+E(f29(x173,x171,x174),f29(x173,x172,x174))
% 0.70/0.85 [18]~E(x181,x182)+E(f29(x183,x184,x181),f29(x183,x184,x182))
% 0.70/0.85 [19]~E(x191,x192)+E(f5(x191,x193,x194),f5(x192,x193,x194))
% 0.70/0.85 [20]~E(x201,x202)+E(f5(x203,x201,x204),f5(x203,x202,x204))
% 0.70/0.85 [21]~E(x211,x212)+E(f5(x213,x214,x211),f5(x213,x214,x212))
% 0.70/0.85 [22]~E(x221,x222)+E(f18(x221,x223),f18(x222,x223))
% 0.70/0.85 [23]~E(x231,x232)+E(f18(x233,x231),f18(x233,x232))
% 0.70/0.85 [24]~E(x241,x242)+E(f6(x241,x243,x244),f6(x242,x243,x244))
% 0.70/0.85 [25]~E(x251,x252)+E(f6(x253,x251,x254),f6(x253,x252,x254))
% 0.70/0.85 [26]~E(x261,x262)+E(f6(x263,x264,x261),f6(x263,x264,x262))
% 0.70/0.85 [27]~E(x271,x272)+E(f41(x271,x273,x274),f41(x272,x273,x274))
% 0.70/0.85 [28]~E(x281,x282)+E(f41(x283,x281,x284),f41(x283,x282,x284))
% 0.70/0.85 [29]~E(x291,x292)+E(f41(x293,x294,x291),f41(x293,x294,x292))
% 0.70/0.85 [30]~E(x301,x302)+E(f15(x301,x303),f15(x302,x303))
% 0.70/0.85 [31]~E(x311,x312)+E(f15(x313,x311),f15(x313,x312))
% 0.70/0.85 [32]~E(x321,x322)+E(f27(x321),f27(x322))
% 0.70/0.85 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 0.70/0.85 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 0.70/0.85 [35]~E(x351,x352)+E(f39(x351,x353,x354,x355),f39(x352,x353,x354,x355))
% 0.70/0.85 [36]~E(x361,x362)+E(f39(x363,x361,x364,x365),f39(x363,x362,x364,x365))
% 0.70/0.85 [37]~E(x371,x372)+E(f39(x373,x374,x371,x375),f39(x373,x374,x372,x375))
% 0.70/0.85 [38]~E(x381,x382)+E(f39(x383,x384,x385,x381),f39(x383,x384,x385,x382))
% 0.70/0.85 [39]~E(x391,x392)+E(f37(x391,x393,x394),f37(x392,x393,x394))
% 0.70/0.85 [40]~E(x401,x402)+E(f37(x403,x401,x404),f37(x403,x402,x404))
% 0.70/0.85 [41]~E(x411,x412)+E(f37(x413,x414,x411),f37(x413,x414,x412))
% 0.70/0.85 [42]~E(x421,x422)+E(f40(x421),f40(x422))
% 0.70/0.85 [43]~E(x431,x432)+E(f28(x431),f28(x432))
% 0.70/0.85 [44]~E(x441,x442)+E(f21(x441,x443,x444),f21(x442,x443,x444))
% 0.70/0.85 [45]~E(x451,x452)+E(f21(x453,x451,x454),f21(x453,x452,x454))
% 0.70/0.85 [46]~E(x461,x462)+E(f21(x463,x464,x461),f21(x463,x464,x462))
% 0.70/0.85 [47]~E(x471,x472)+E(f30(x471,x473,x474,x475),f30(x472,x473,x474,x475))
% 0.70/0.85 [48]~E(x481,x482)+E(f30(x483,x481,x484,x485),f30(x483,x482,x484,x485))
% 0.70/0.85 [49]~E(x491,x492)+E(f30(x493,x494,x491,x495),f30(x493,x494,x492,x495))
% 0.70/0.85 [50]~E(x501,x502)+E(f30(x503,x504,x505,x501),f30(x503,x504,x505,x502))
% 0.70/0.85 [51]~E(x511,x512)+E(f8(x511,x513,x514),f8(x512,x513,x514))
% 0.70/0.85 [52]~E(x521,x522)+E(f8(x523,x521,x524),f8(x523,x522,x524))
% 0.70/0.85 [53]~E(x531,x532)+E(f8(x533,x534,x531),f8(x533,x534,x532))
% 0.70/0.85 [54]~E(x541,x542)+E(f9(x541,x543,x544,x545,x546),f9(x542,x543,x544,x545,x546))
% 0.70/0.85 [55]~E(x551,x552)+E(f9(x553,x551,x554,x555,x556),f9(x553,x552,x554,x555,x556))
% 0.70/0.85 [56]~E(x561,x562)+E(f9(x563,x564,x561,x565,x566),f9(x563,x564,x562,x565,x566))
% 0.70/0.85 [57]~E(x571,x572)+E(f9(x573,x574,x575,x571,x576),f9(x573,x574,x575,x572,x576))
% 0.70/0.85 [58]~E(x581,x582)+E(f9(x583,x584,x585,x586,x581),f9(x583,x584,x585,x586,x582))
% 0.70/0.85 [59]~E(x591,x592)+E(f34(x591,x593,x594),f34(x592,x593,x594))
% 0.70/0.85 [60]~E(x601,x602)+E(f34(x603,x601,x604),f34(x603,x602,x604))
% 0.70/0.85 [61]~E(x611,x612)+E(f34(x613,x614,x611),f34(x613,x614,x612))
% 0.70/0.85 [62]~E(x621,x622)+E(f13(x621,x623,x624,x625,x626),f13(x622,x623,x624,x625,x626))
% 0.70/0.85 [63]~E(x631,x632)+E(f13(x633,x631,x634,x635,x636),f13(x633,x632,x634,x635,x636))
% 0.70/0.85 [64]~E(x641,x642)+E(f13(x643,x644,x641,x645,x646),f13(x643,x644,x642,x645,x646))
% 0.70/0.85 [65]~E(x651,x652)+E(f13(x653,x654,x655,x651,x656),f13(x653,x654,x655,x652,x656))
% 0.70/0.85 [66]~E(x661,x662)+E(f13(x663,x664,x665,x666,x661),f13(x663,x664,x665,x666,x662))
% 0.70/0.85 [67]~E(x671,x672)+E(f36(x671,x673),f36(x672,x673))
% 0.70/0.85 [68]~E(x681,x682)+E(f36(x683,x681),f36(x683,x682))
% 0.70/0.85 [69]~E(x691,x692)+E(f55(x691,x693,x694,x695,x696,x697),f55(x692,x693,x694,x695,x696,x697))
% 0.70/0.85 [70]~E(x701,x702)+E(f55(x703,x701,x704,x705,x706,x707),f55(x703,x702,x704,x705,x706,x707))
% 0.70/0.85 [71]~E(x711,x712)+E(f55(x713,x714,x711,x715,x716,x717),f55(x713,x714,x712,x715,x716,x717))
% 0.70/0.85 [72]~E(x721,x722)+E(f55(x723,x724,x725,x721,x726,x727),f55(x723,x724,x725,x722,x726,x727))
% 0.70/0.85 [73]~E(x731,x732)+E(f55(x733,x734,x735,x736,x731,x737),f55(x733,x734,x735,x736,x732,x737))
% 0.70/0.85 [74]~E(x741,x742)+E(f55(x743,x744,x745,x746,x747,x741),f55(x743,x744,x745,x746,x747,x742))
% 0.70/0.85 [75]~E(x751,x752)+E(f35(x751,x753,x754),f35(x752,x753,x754))
% 0.70/0.85 [76]~E(x761,x762)+E(f35(x763,x761,x764),f35(x763,x762,x764))
% 0.70/0.85 [77]~E(x771,x772)+E(f35(x773,x774,x771),f35(x773,x774,x772))
% 0.70/0.85 [78]~E(x781,x782)+E(f32(x781,x783),f32(x782,x783))
% 0.70/0.85 [79]~E(x791,x792)+E(f32(x793,x791),f32(x793,x792))
% 0.70/0.85 [80]~E(x801,x802)+E(f49(x801),f49(x802))
% 0.70/0.85 [81]~E(x811,x812)+E(f33(x811,x813),f33(x812,x813))
% 0.70/0.85 [82]~E(x821,x822)+E(f33(x823,x821),f33(x823,x822))
% 0.70/0.85 [83]~E(x831,x832)+E(f24(x831,x833,x834,x835),f24(x832,x833,x834,x835))
% 0.70/0.85 [84]~E(x841,x842)+E(f24(x843,x841,x844,x845),f24(x843,x842,x844,x845))
% 0.70/0.85 [85]~E(x851,x852)+E(f24(x853,x854,x851,x855),f24(x853,x854,x852,x855))
% 0.70/0.85 [86]~E(x861,x862)+E(f24(x863,x864,x865,x861),f24(x863,x864,x865,x862))
% 0.70/0.85 [87]~E(x871,x872)+E(f22(x871),f22(x872))
% 0.70/0.85 [88]~E(x881,x882)+E(f10(x881,x883,x884,x885,x886),f10(x882,x883,x884,x885,x886))
% 0.70/0.85 [89]~E(x891,x892)+E(f10(x893,x891,x894,x895,x896),f10(x893,x892,x894,x895,x896))
% 0.70/0.85 [90]~E(x901,x902)+E(f10(x903,x904,x901,x905,x906),f10(x903,x904,x902,x905,x906))
% 0.70/0.85 [91]~E(x911,x912)+E(f10(x913,x914,x915,x911,x916),f10(x913,x914,x915,x912,x916))
% 0.70/0.85 [92]~E(x921,x922)+E(f10(x923,x924,x925,x926,x921),f10(x923,x924,x925,x926,x922))
% 0.70/0.85 [93]~E(x931,x932)+E(f38(x931,x933,x934),f38(x932,x933,x934))
% 0.70/0.85 [94]~E(x941,x942)+E(f38(x943,x941,x944),f38(x943,x942,x944))
% 0.70/0.85 [95]~E(x951,x952)+E(f38(x953,x954,x951),f38(x953,x954,x952))
% 0.70/0.85 [96]~E(x961,x962)+E(f23(x961),f23(x962))
% 0.70/0.85 [97]~E(x971,x972)+E(f12(x971,x973,x974,x975),f12(x972,x973,x974,x975))
% 0.70/0.85 [98]~E(x981,x982)+E(f12(x983,x981,x984,x985),f12(x983,x982,x984,x985))
% 0.70/0.85 [99]~E(x991,x992)+E(f12(x993,x994,x991,x995),f12(x993,x994,x992,x995))
% 0.70/0.85 [100]~E(x1001,x1002)+E(f12(x1003,x1004,x1005,x1001),f12(x1003,x1004,x1005,x1002))
% 0.70/0.85 [101]~E(x1011,x1012)+E(f31(x1011,x1013),f31(x1012,x1013))
% 0.70/0.85 [102]~E(x1021,x1022)+E(f31(x1023,x1021),f31(x1023,x1022))
% 0.70/0.85 [103]~E(x1031,x1032)+E(f54(x1031),f54(x1032))
% 0.70/0.85 [104]~E(x1041,x1042)+E(f16(x1041,x1043),f16(x1042,x1043))
% 0.70/0.85 [105]~E(x1051,x1052)+E(f16(x1053,x1051),f16(x1053,x1052))
% 0.70/0.85 [106]~E(x1061,x1062)+E(f53(x1061),f53(x1062))
% 0.70/0.85 [107]~E(x1071,x1072)+E(f17(x1071,x1073),f17(x1072,x1073))
% 0.70/0.85 [108]~E(x1081,x1082)+E(f17(x1083,x1081),f17(x1083,x1082))
% 0.70/0.85 [109]~E(x1091,x1092)+E(f11(x1091,x1093,x1094,x1095),f11(x1092,x1093,x1094,x1095))
% 0.70/0.85 [110]~E(x1101,x1102)+E(f11(x1103,x1101,x1104,x1105),f11(x1103,x1102,x1104,x1105))
% 0.70/0.85 [111]~E(x1111,x1112)+E(f11(x1113,x1114,x1111,x1115),f11(x1113,x1114,x1112,x1115))
% 0.70/0.85 [112]~E(x1121,x1122)+E(f11(x1123,x1124,x1125,x1121),f11(x1123,x1124,x1125,x1122))
% 0.70/0.85 [113]~P1(x1131)+P1(x1132)+~E(x1131,x1132)
% 0.70/0.85 [114]~P3(x1141)+P3(x1142)+~E(x1141,x1142)
% 0.70/0.85 [115]~P7(x1151)+P7(x1152)+~E(x1151,x1152)
% 0.70/0.85 [116]P5(x1162,x1163,x1164)+~E(x1161,x1162)+~P5(x1161,x1163,x1164)
% 0.70/0.85 [117]P5(x1173,x1172,x1174)+~E(x1171,x1172)+~P5(x1173,x1171,x1174)
% 0.70/0.85 [118]P5(x1183,x1184,x1182)+~E(x1181,x1182)+~P5(x1183,x1184,x1181)
% 0.70/0.85 [119]~P8(x1191)+P8(x1192)+~E(x1191,x1192)
% 0.70/0.85 [120]~P18(x1201)+P18(x1202)+~E(x1201,x1202)
% 0.70/0.85 [121]~P19(x1211)+P19(x1212)+~E(x1211,x1212)
% 0.70/0.85 [122]~P31(x1221)+P31(x1222)+~E(x1221,x1222)
% 0.70/0.85 [123]~P22(x1231)+P22(x1232)+~E(x1231,x1232)
% 0.70/0.85 [124]P4(x1242,x1243)+~E(x1241,x1242)+~P4(x1241,x1243)
% 0.70/0.85 [125]P4(x1253,x1252)+~E(x1251,x1252)+~P4(x1253,x1251)
% 0.70/0.85 [126]~P23(x1261)+P23(x1262)+~E(x1261,x1262)
% 0.70/0.85 [127]P13(x1272,x1273,x1274)+~E(x1271,x1272)+~P13(x1271,x1273,x1274)
% 0.70/0.85 [128]P13(x1283,x1282,x1284)+~E(x1281,x1282)+~P13(x1283,x1281,x1284)
% 0.70/0.85 [129]P13(x1293,x1294,x1292)+~E(x1291,x1292)+~P13(x1293,x1294,x1291)
% 0.70/0.85 [130]~P9(x1301)+P9(x1302)+~E(x1301,x1302)
% 0.70/0.85 [131]P15(x1312,x1313,x1314,x1315)+~E(x1311,x1312)+~P15(x1311,x1313,x1314,x1315)
% 0.70/0.85 [132]P15(x1323,x1322,x1324,x1325)+~E(x1321,x1322)+~P15(x1323,x1321,x1324,x1325)
% 0.70/0.85 [133]P15(x1333,x1334,x1332,x1335)+~E(x1331,x1332)+~P15(x1333,x1334,x1331,x1335)
% 0.70/0.85 [134]P15(x1343,x1344,x1345,x1342)+~E(x1341,x1342)+~P15(x1343,x1344,x1345,x1341)
% 0.70/0.85 [135]~P10(x1351)+P10(x1352)+~E(x1351,x1352)
% 0.70/0.85 [136]~P11(x1361)+P11(x1362)+~E(x1361,x1362)
% 0.70/0.85 [137]~P29(x1371)+P29(x1372)+~E(x1371,x1372)
% 0.70/0.85 [138]~P20(x1381)+P20(x1382)+~E(x1381,x1382)
% 0.70/0.85 [139]~P25(x1391)+P25(x1392)+~E(x1391,x1392)
% 0.70/0.85 [140]~P21(x1401)+P21(x1402)+~E(x1401,x1402)
% 0.70/0.85 [141]~P16(x1411)+P16(x1412)+~E(x1411,x1412)
% 0.70/0.85 [142]~P28(x1421)+P28(x1422)+~E(x1421,x1422)
% 0.70/0.85 [143]~P17(x1431)+P17(x1432)+~E(x1431,x1432)
% 0.70/0.85 [144]~P24(x1441)+P24(x1442)+~E(x1441,x1442)
% 0.70/0.85 [145]~P27(x1451)+P27(x1452)+~E(x1451,x1452)
% 0.70/0.85 [146]~P30(x1461)+P30(x1462)+~E(x1461,x1462)
% 0.70/0.85 [147]P6(x1472,x1473,x1474)+~E(x1471,x1472)+~P6(x1471,x1473,x1474)
% 0.70/0.85 [148]P6(x1483,x1482,x1484)+~E(x1481,x1482)+~P6(x1483,x1481,x1484)
% 0.70/0.85 [149]P6(x1493,x1494,x1492)+~E(x1491,x1492)+~P6(x1493,x1494,x1491)
% 0.70/0.85 [150]~P26(x1501)+P26(x1502)+~E(x1501,x1502)
% 0.70/0.85 [151]~P2(x1511)+P2(x1512)+~E(x1511,x1512)
% 0.70/0.85 [152]P12(x1522,x1523,x1524,x1525)+~E(x1521,x1522)+~P12(x1521,x1523,x1524,x1525)
% 0.70/0.85 [153]P12(x1533,x1532,x1534,x1535)+~E(x1531,x1532)+~P12(x1533,x1531,x1534,x1535)
% 0.70/0.86 [154]P12(x1543,x1544,x1542,x1545)+~E(x1541,x1542)+~P12(x1543,x1544,x1541,x1545)
% 0.70/0.86 [155]P12(x1553,x1554,x1555,x1552)+~E(x1551,x1552)+~P12(x1553,x1554,x1555,x1551)
% 0.70/0.86 [156]P14(x1562,x1563,x1564)+~E(x1561,x1562)+~P14(x1561,x1563,x1564)
% 0.70/0.86 [157]P14(x1573,x1572,x1574)+~E(x1571,x1572)+~P14(x1573,x1571,x1574)
% 0.70/0.86 [158]P14(x1583,x1584,x1582)+~E(x1581,x1582)+~P14(x1583,x1584,x1581)
% 0.70/0.86
% 0.70/0.86 %-------------------------------------------
% 0.70/0.86 cnf(738,plain,
% 0.70/0.86 ($false),
% 0.70/0.86 inference(scs_inference,[],[314,202]),
% 0.70/0.86 ['proof']).
% 0.70/0.86 % SZS output end Proof
% 0.70/0.86 % Total time :0.040000s
%------------------------------------------------------------------------------