%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV910-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n021.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 : Mon Jun 24 16:48:53 EDT 2024 % Result : Unsatisfiable 0.53s 0.84s % Output : CNFRefutation 0.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV910-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n021.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Thu Jun 20 21:02:39 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.53/0.80 %------------------------------------------- % 0.53/0.80 % File :CSE---1.7 % 0.53/0.80 % Problem :theBenchmark % 0.53/0.80 % Transform :cnf % 0.53/0.80 % Format :tptp:raw % 0.53/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.80 % 0.53/0.80 % Result :Theorem 0.040000s % 0.53/0.80 % Output :CNFRefutation 0.040000s % 0.53/0.80 %------------------------------------------- % 0.53/0.81 %------------------------------------------------------------------------------ % 0.53/0.81 % File : SWV910-1 : TPTP v8.2.0. Released v4.1.0. % 0.53/0.81 % Domain : Software Verification % 0.53/0.81 % Problem : Hoare logic with procedures 475_1 % 0.53/0.81 % Version : Especial. % 0.53/0.81 % English : Completeness is taken relative to completeness of the underlying % 0.53/0.81 % logic. Two versions of completeness proof: nested single recursion % 0.53/0.81 % and simultaneous recursion in call rule. % 0.53/0.81 % 0.53/0.81 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.53/0.81 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.53/0.81 % Source : [Nip10] % 0.53/0.81 % Names : Hoare-475_1 [Nip10] % 0.53/0.81 % 0.53/0.81 % Status : Unsatisfiable % 0.53/0.81 % Rating : 0.15 v8.2.0, 0.19 v8.1.0, 0.16 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.29 v4.1.0 % 0.53/0.81 % Syntax : Number of clauses : 498 ( 163 unt; 46 nHn; 240 RR) % 0.53/0.81 % Number of literals : 1013 ( 313 equ; 503 neg) % 0.53/0.81 % Maximal clause size : 6 ( 2 avg) % 0.53/0.81 % Maximal term depth : 9 ( 2 avg) % 0.53/0.81 % Number of predicates : 24 ( 23 usr; 0 prp; 1-9 aty) % 0.53/0.81 % Number of functors : 70 ( 70 usr; 13 con; 0-6 aty) % 0.53/0.81 % Number of variables : 1850 ( 384 sgn) % 0.53/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.53/0.81 % 0.53/0.81 % Comments : % 0.53/0.81 %------------------------------------------------------------------------------ % 0.53/0.81 cnf(cls_fun__upd__None__restrict_1,axiom, % 0.53/0.81 ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m,V_D,T_a,T_b) % 0.53/0.81 | hBOOL(c_in(V_x,V_D,T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__idem__iff_0,axiom, % 0.53/0.81 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 0.53/0.81 | hAPP(V_f,V_x) = V_y ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__comp_0,axiom, % 0.53/0.81 c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a) = c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__twist_0,axiom, % 0.53/0.81 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b) % 0.53/0.81 | V_a = V_c ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__upd_0,axiom, % 0.53/0.81 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__idem_0,axiom, % 0.53/0.81 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__same_0,axiom, % 0.53/0.81 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__triv_0,axiom, % 0.53/0.81 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__apply_0,axiom, % 0.53/0.81 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__idem__iff_1,axiom, % 0.53/0.81 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__apply_1,axiom, % 0.53/0.81 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 0.53/0.81 | V_z = V_x ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__other_0,axiom, % 0.53/0.81 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 0.53/0.81 | V_z = V_x ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_restrict__fun__upd_1,axiom, % 0.53/0.81 ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b) = c_Map_Orestrict__map(V_m,V_D,T_a,T_b) % 0.53/0.81 | hBOOL(c_in(V_x,V_D,T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_restrict__map__insert_0,axiom, % 0.53/0.81 c_Map_Orestrict__map(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f,V_A,T_a,T_b),V_a,hAPP(V_f,V_a),T_a,tc_Option_Ooption(T_b)) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__restrict_0,axiom, % 0.53/0.81 c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_fun__upd__restrict__conv_0,axiom, % 0.53/0.81 ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_D,T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_restrict__fun__upd_0,axiom, % 0.53/0.81 ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_D,T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_COMBI__def_0,axiom, % 0.53/0.81 hAPP(c_COMBI(T_a),V_P) = V_P ). % 0.53/0.81 % 0.53/0.81 cnf(cls_COMBK__def_0,axiom, % 0.53/0.81 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 0.53/0.81 % 0.53/0.81 cnf(cls_com_Osimps_I48_J_0,axiom, % 0.53/0.81 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Diff__idemp_0,axiom, % 0.53/0.81 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_eq__eqI_1,axiom, % 0.53/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.53/0.81 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.53/0.81 | V_xa = V_y ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_eq__eqI_0,axiom, % 0.53/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.53/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.53/0.81 | V_x_H = V_y_H ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Max__mono_0,axiom, % 0.53/0.81 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.81 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a) % 0.53/0.81 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.53/0.81 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.81 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Un__left__commute_0,axiom, % 0.53/0.81 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Un__assoc_0,axiom, % 0.53/0.81 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_sup__assoc_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_sup__left__commute_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_IntE_1,axiom, % 0.53/0.81 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_IntE_0,axiom, % 0.53/0.81 ( hBOOL(c_in(V_c,V_A,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inj__on__contraD_0,axiom, % 0.53/0.81 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.53/0.81 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.81 | V_x = V_y % 0.53/0.81 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inj__on__iff_0,axiom, % 0.53/0.81 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.53/0.81 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.81 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.81 | V_x = V_y ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inj__on__def_0,axiom, % 0.53/0.81 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 0.53/0.81 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.81 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.81 | V_x = V_xa ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inj__onD_0,axiom, % 0.53/0.81 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.53/0.81 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.81 | V_x = V_y % 0.53/0.81 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 0.53/0.81 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Int__absorb2_0,axiom, % 0.53/0.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 0.53/0.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Int__absorb1_0,axiom, % 0.53/0.81 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 0.53/0.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_le__iff__inf_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 0.53/0.81 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_le__iff__inf_1,axiom, % 0.53/0.81 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 0.53/0.81 | c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_inf__absorb2_0,axiom, % 0.53/0.81 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.81 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 0.53/0.81 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Un__subset__iff_2,axiom, % 0.53/0.81 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) % 0.53/0.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.81 % 0.53/0.81 cnf(cls_Un__upper2_0,axiom, % 0.53/0.82 c_lessequals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Un__upper1_0,axiom, % 0.53/0.82 c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Un__least_0,axiom, % 0.53/0.82 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_le__supI_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) % 0.53/0.82 | ~ c_lessequals(V_b,V_x,T_a) % 0.53/0.82 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_sup__ge1_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_sup__ge2_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_sup__least_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a) % 0.53/0.82 | ~ c_lessequals(V_z,V_x,T_a) % 0.53/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_le__sup__iff_2,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) % 0.53/0.82 | ~ c_lessequals(V_y,V_z,T_a) % 0.53/0.82 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.82 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.82 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Int__commute_0,axiom, % 0.53/0.82 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__commute_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 0.53/0.82 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a) % 0.53/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Diff__partition_0,axiom, % 0.53/0.82 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B % 0.53/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I14_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_distrib__inf__le_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.82 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Diff__subset_0,axiom, % 0.53/0.82 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Un__Int__crazy_0,axiom, % 0.53/0.82 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_CollectI_0,axiom, % 0.53/0.82 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) % 0.53/0.82 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_CollectD_0,axiom, % 0.53/0.82 ( hBOOL(hAPP(V_P,V_a)) % 0.53/0.82 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Diff__iff_2,axiom, % 0.53/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.53/0.82 | hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_DiffI_0,axiom, % 0.53/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.53/0.82 | hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_insert__subset_0,axiom, % 0.53/0.82 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.53/0.82 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_UN__constant_1,axiom, % 0.53/0.82 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c % 0.53/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_SUP__const_0,axiom, % 0.53/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 0.53/0.82 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 0.53/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_fun__upd__None__restrict_0,axiom, % 0.53/0.82 ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_D,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_COMBC__def_0,axiom, % 0.53/0.82 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_mem__def_0,axiom, % 0.53/0.82 ( hBOOL(hAPP(V_S,V_x)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_mem__def_1,axiom, % 0.53/0.82 ( hBOOL(c_in(V_x,V_S,T_a)) % 0.53/0.82 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 0.53/0.82 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inj__on__id_0,axiom, % 0.53/0.82 c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_sup__idem_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Un__absorb_0,axiom, % 0.53/0.82 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 0.53/0.82 % 0.53/0.82 cnf(cls_id__o_0,axiom, % 0.53/0.82 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ). % 0.53/0.82 % 0.53/0.82 cnf(cls_o__id_0,axiom, % 0.53/0.82 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Int__Collect_1,axiom, % 0.53/0.82 ( hBOOL(hAPP(V_P,V_x)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__sup__distrib2_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.53/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inf__sup__distrib1_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.53/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Int__Un__distrib_0,axiom, % 0.53/0.82 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Int__Un__distrib2_0,axiom, % 0.53/0.82 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_sup__fun__eq_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olattice(T_b) % 0.53/0.82 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Diff__triv_0,axiom, % 0.53/0.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.82 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I49_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_subset__insert__iff_0,axiom, % 0.53/0.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.82 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_subset__insert__iff_3,axiom, % 0.53/0.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.82 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_diff__single__insert_0,axiom, % 0.53/0.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.82 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_fold1__def_0,axiom, % 0.53/0.82 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_le__SUPI_0,axiom, % 0.53/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 0.53/0.82 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 0.53/0.82 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_UN__upper_0,axiom, % 0.53/0.82 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_insert__Diff1_0,axiom, % 0.53/0.82 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I17_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 0.53/0.82 % 0.53/0.82 cnf(cls_below__fold1__iff_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.82 | c_lessequals(V_x,V_xa,T_a) % 0.53/0.82 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 0.53/0.82 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a) % 0.53/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I59_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_finite__Diff_0,axiom, % 0.53/0.82 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inj__on__diff_0,axiom, % 0.53/0.82 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 0.53/0.82 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Inf__insert_0,axiom, % 0.53/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.82 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Collect__def_0,axiom, % 0.53/0.82 c_Collect(V_P,T_a) = V_P ). % 0.53/0.82 % 0.53/0.82 cnf(cls_fun__left__comm__idem__sup_0,axiom, % 0.53/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.82 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I3_J_1,axiom, % 0.53/0.82 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.53/0.82 | V_com2 = V_com2_H ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I3_J_0,axiom, % 0.53/0.82 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.53/0.82 | V_com1 = V_com1_H ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I46_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_Sup__insert_0,axiom, % 0.53/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.82 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I44_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_finite__Diff2_0,axiom, % 0.53/0.82 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_finite__Diff2_1,axiom, % 0.53/0.82 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_inj__on__id2_0,axiom, % 0.53/0.82 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_finite__UN_0,axiom, % 0.53/0.82 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b) % 0.53/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 0.53/0.82 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.82 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I52_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_DiffE_0,axiom, % 0.53/0.82 ( hBOOL(c_in(V_c,V_A,T_a)) % 0.53/0.82 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_DiffE_1,axiom, % 0.53/0.82 ( ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.82 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_UN__subset__iff_0,axiom, % 0.53/0.82 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_x,V_I,T_b)) % 0.53/0.82 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_K__record__comp_0,axiom, % 0.53/0.82 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ). % 0.53/0.82 % 0.53/0.82 cnf(cls_the__eq__trivial_0,axiom, % 0.53/0.82 c_The(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = V_a ). % 0.53/0.82 % 0.53/0.82 cnf(cls_com_Osimps_I45_J_0,axiom, % 0.53/0.82 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.53/0.82 % 0.53/0.82 cnf(cls_UN__absorb_0,axiom, % 0.53/0.82 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 0.53/0.82 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I4_J_2,axiom, % 0.53/0.83 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.53/0.83 | V_com2 = V_com2_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I4_J_1,axiom, % 0.53/0.83 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.53/0.83 | V_com1 = V_com1_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I4_J_0,axiom, % 0.53/0.83 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.53/0.83 | V_fun = V_fun_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__Un_2,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__UnI_0,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_atLeastatMost__subset__iff_3,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_b,V_d,T_a) % 0.53/0.83 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_atLeastatMost__subset__iff_1,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | c_lessequals(V_b,V_d,T_a) % 0.53/0.83 | ~ c_lessequals(V_a,V_b,T_a) % 0.53/0.83 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_atLeastatMost__subset__iff_0,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | c_lessequals(V_c,V_a,T_a) % 0.53/0.83 | ~ c_lessequals(V_a,V_b,T_a) % 0.53/0.83 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Int__assoc__eq_0,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 0.53/0.83 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Int__assoc__eq_1,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 0.53/0.83 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_restrict__out_0,axiom, % 0.53/0.83 ( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = c_Option_Ooption_ONone(T_b) % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_o__apply_0,axiom, % 0.53/0.83 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_o__eq__dest__lhs_0,axiom, % 0.53/0.83 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_atLeastatMost__subset__iff_2,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.53/0.83 | c_lessequals(V_a,V_b,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup1E_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(V_B,V_x)) % 0.53/0.83 | hBOOL(hAPP(V_A,V_x)) % 0.53/0.83 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup1CI_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 0.53/0.83 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup1CI_1,axiom, % 0.53/0.83 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 0.53/0.83 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UnE_0,axiom, % 0.53/0.83 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.83 | hBOOL(c_in(V_c,V_A,T_a)) % 0.53/0.83 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I54_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I55_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__left__commute_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__assoc_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__assoc_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__left__commute_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 0.53/0.83 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 0.53/0.83 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__Un_0,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(V_F,T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__Un_1,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(V_G,T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_restrict__restrict_0,axiom, % 0.53/0.83 c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b) = c_Map_Orestrict__map(V_m,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I16_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__Int__distrib_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__Int__distrib2_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__mono_0,axiom, % 0.53/0.83 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.53/0.83 ( ~ hBOOL(c_in(V_x,V_B,T_a)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_distrib__sup__le_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__Int2_0,axiom, % 0.53/0.83 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__inf__absorb_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_equalityI_0,axiom, % 0.53/0.83 ( V_A = V_B % 0.53/0.83 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_set__eq__subset_2,axiom, % 0.53/0.83 ( V_A = V_B % 0.53/0.83 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_order__eq__iff_2,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | V_x = V_y % 0.53/0.83 | ~ c_lessequals(V_y,V_x,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_order__antisym_0,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | V_x = V_y % 0.53/0.83 | ~ c_lessequals(V_y,V_x,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_order__antisym__conv_0,axiom, % 0.53/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.83 | V_x = V_y % 0.53/0.83 | ~ c_lessequals(V_x,V_y,T_a) % 0.53/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__sup__absorb_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Diff__Int_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__absorb1_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x % 0.53/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__iff__sup_1,axiom, % 0.53/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y % 0.53/0.83 | c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__iff__sup_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y % 0.53/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__insert__iff_2,axiom, % 0.53/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__insert__iff_1,axiom, % 0.53/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.83 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__insert_1,axiom, % 0.53/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__insert_0,axiom, % 0.53/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__insert__right_1,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 0.53/0.83 | hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__insert__left_1,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 0.53/0.83 | hBOOL(c_in(V_a,V_C,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UN__iff_2,axiom, % 0.53/0.83 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) % 0.53/0.83 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UN__I_0,axiom, % 0.53/0.83 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)) % 0.53/0.83 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b)) % 0.53/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_o__eq__id__dest_0,axiom, % 0.53/0.83 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a) % 0.53/0.83 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Diff__cancel2_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Diff__cancel_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_UN__constant_0,axiom, % 0.53/0.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_fun__diff__def_0,axiom, % 0.53/0.83 ( ~ class_HOL_Ominus(T_b) % 0.53/0.83 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__subset__iff_1,axiom, % 0.53/0.83 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__subset__iff_0,axiom, % 0.53/0.83 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__infE_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(V_x,V_a,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__infE_1,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(V_x,V_b,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__infI1_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.53/0.83 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__infI2_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.53/0.83 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__inf__iff_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(V_x,V_y,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__inf__iff_1,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_lessequals(V_x,V_z,T_a) % 0.53/0.83 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__Diff_0,axiom, % 0.53/0.83 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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))) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_insert__def_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__commute_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__commute_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I6_J_0,axiom, % 0.53/0.83 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H) % 0.53/0.83 | V_pname = V_pname_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I5_J_0,axiom, % 0.53/0.83 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.53/0.83 | V_fun = V_fun_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I5_J_1,axiom, % 0.53/0.83 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.53/0.83 | V_com = V_com_H ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__left__absorb_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__left__idem_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I15_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.53/0.83 % 0.53/0.83 cnf(cls_SUP1__iff_2,axiom, % 0.53/0.83 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.53/0.83 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_SUP1__I_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.53/0.83 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 0.53/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__disjoint_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I53_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite_0,axiom, % 0.53/0.83 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.53/0.83 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__Collect_0,axiom, % 0.53/0.83 ( hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_com_Osimps_I18_J_0,axiom, % 0.53/0.83 c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_insert__Diff__if_1,axiom, % 0.53/0.83 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) % 0.53/0.83 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf1E_1,axiom, % 0.53/0.83 ( hBOOL(hAPP(V_B,V_x)) % 0.53/0.83 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf1E_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(V_A,V_x)) % 0.53/0.83 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inj__on__Un_1,axiom, % 0.53/0.83 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 0.53/0.83 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inj__on__Un_0,axiom, % 0.53/0.83 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.83 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_id__apply_0,axiom, % 0.53/0.83 hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__subset__conv_1,axiom, % 0.53/0.83 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__subset__conv_0,axiom, % 0.53/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_fun__left__comm__idem__inf_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.83 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__Int_1,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite__Int_0,axiom, % 0.53/0.83 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.53/0.83 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_le__funD_0,axiom, % 0.53/0.83 ( ~ class_HOL_Oord(T_b) % 0.53/0.83 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.53/0.83 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Loop__sound__lemma_0,axiom, % 0.53/0.83 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.83 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__bot__left_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__bot__right_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__bot__left_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inf__bot__right_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_bot__least_0,axiom, % 0.53/0.83 ( ~ class_Orderings_Obot(T_a) % 0.53/0.83 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 0.53/0.83 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.53/0.83 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.53/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 0.53/0.83 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__empty_2,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 0.53/0.83 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 0.53/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 0.53/0.83 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 0.53/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_empty__Collect__eq_0,axiom, % 0.53/0.83 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 0.53/0.83 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_ex__in__conv_0,axiom, % 0.53/0.83 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_ball__empty_0,axiom, % 0.53/0.83 ( hBOOL(hAPP(V_P,V_x)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_empty__iff_0,axiom, % 0.53/0.83 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_emptyE_0,axiom, % 0.53/0.83 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__empty_1,axiom, % 0.53/0.83 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__empty_0,axiom, % 0.53/0.83 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Collect__empty__eq_0,axiom, % 0.53/0.83 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_empty__fold1SetE_0,axiom, % 0.53/0.83 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_empty__Diff_0,axiom, % 0.53/0.83 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__empty__right_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__empty__left_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__cancel_0,axiom, % 0.53/0.83 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__empty_0,axiom, % 0.53/0.83 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.53/0.83 % 0.53/0.83 cnf(cls_finite_OemptyI_0,axiom, % 0.53/0.83 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__empty__right_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Int__empty__left_0,axiom, % 0.53/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_empty__subsetI_0,axiom, % 0.53/0.83 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_inj__on__empty_0,axiom, % 0.53/0.83 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_bex__empty_0,axiom, % 0.53/0.83 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.53/0.83 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__empty_1,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.83 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Un__empty_0,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.83 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_singleton__conv_0,axiom, % 0.53/0.83 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_insert__Diff_0,axiom, % 0.53/0.83 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = V_A % 0.53/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Sup__binary_0,axiom, % 0.53/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.83 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_subset__insert__iff_4,axiom, % 0.53/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.83 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.83 % 0.53/0.83 cnf(cls_Diff__insert__absorb_0,axiom, % 0.53/0.83 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) = V_A % 0.53/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Inf__binary_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__mono_0,axiom, % 0.53/0.84 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__iff_2,axiom, % 0.53/0.84 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insertCI_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 0.53/0.84 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 0.53/0.84 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insertE_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_a,V_A,T_a)) % 0.53/0.84 | V_a = V_b % 0.53/0.84 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_finite__insert_1,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__absorb1_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__absorb2_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 0.53/0.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__Un__eq_1,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B % 0.53/0.84 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_restrict__in_0,axiom, % 0.53/0.84 ( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = hAPP(V_m,V_x) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_empty__def_0,axiom, % 0.53/0.84 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Min__antimono_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.53/0.84 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UN__insert_0,axiom, % 0.53/0.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fold1__belowI_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a) % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Inf__lower_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_atLeastatMost__empty__iff2_1,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.53/0.84 | c_lessequals(V_a,V_b,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_atLeastatMost__empty__iff2_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.53/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__insert__left_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__insert__right_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fcomp__apply_0,axiom, % 0.53/0.84 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__mono_0,axiom, % 0.53/0.84 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.84 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.84 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__greatest_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__inf__iff_2,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__infI_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_b,T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__le2_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__le1_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__lower1_0,axiom, % 0.53/0.84 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__lower2_0,axiom, % 0.53/0.84 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__greatest_0,axiom, % 0.53/0.84 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__subset__iff_2,axiom, % 0.53/0.84 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_o__assoc_0,axiom, % 0.53/0.84 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_com_Osimps_I13_J_0,axiom, % 0.53/0.84 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.53/0.84 % 0.53/0.84 cnf(cls_sup__inf__distrib2_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.53/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_sup__inf__distrib1_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.53/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__Int__distrib_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__Int__distrib2_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__subset_2,axiom, % 0.53/0.84 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__left__idem_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__left__absorb_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fun__left__comm__idem_Ofun__left__idem_0,axiom, % 0.53/0.84 ( hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z)) = hAPP(hAPP(V_f,V_x),V_z) % 0.53/0.84 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_finite__Diff__insert_0,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_finite__Diff__insert_1,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fcomp__id_0,axiom, % 0.53/0.84 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ). % 0.53/0.84 % 0.53/0.84 cnf(cls_id__fcomp_0,axiom, % 0.53/0.84 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ). % 0.53/0.84 % 0.53/0.84 cnf(cls_com_Osimps_I47_J_0,axiom, % 0.53/0.84 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UnCI_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UnCI_1,axiom, % 0.53/0.84 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UN__empty2_0,axiom, % 0.53/0.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__idem_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__absorb_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__sup__iff_1,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_y,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__sup__iff_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__supI2_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__supI1_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__supE_1,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_b,V_x,T_a) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__supE_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.53/0.84 | c_lessequals(V_a,V_x,T_a) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__subset__iff_0,axiom, % 0.53/0.84 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__subset__iff_1,axiom, % 0.53/0.84 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Max__in_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)) % 0.53/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf__fun__eq_0,axiom, % 0.53/0.84 ( ~ class_Lattices_Olattice(T_b) % 0.53/0.84 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_xt1_I6_J_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_lessequals(V_z,V_x,T_a) % 0.53/0.84 | ~ c_lessequals(V_z,V_y,T_a) % 0.53/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_order__trans_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.53/0.84 | c_lessequals(V_x,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(V_y,V_z,T_a) % 0.53/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_set__mp_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subsetD_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_equalityE_0,axiom, % 0.53/0.84 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_set__rev__mp_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__iff_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_t,V_B,T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_t,V_A,T_a)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__refl_0,axiom, % 0.53/0.84 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__trans_0,axiom, % 0.53/0.84 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__inj__on_0,axiom, % 0.53/0.84 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_predicate1D_0,axiom, % 0.53/0.84 ( hBOOL(hAPP(V_Q,V_x)) % 0.53/0.84 | ~ hBOOL(hAPP(V_P,V_x)) % 0.53/0.84 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_order__eq__iff_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_order__eq__refl_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.53/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_finite__subset_0,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_rev__predicate1D_0,axiom, % 0.53/0.84 ( hBOOL(hAPP(V_Q,V_x)) % 0.53/0.84 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_rev__finite__subset_0,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__mono_0,axiom, % 0.53/0.84 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Diff__Un_0,axiom, % 0.53/0.84 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_atLeastatMost__empty__iff_1,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | c_lessequals(V_a,V_b,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_atLeastatMost__empty__iff_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__Diff_0,axiom, % 0.53/0.84 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Min__in_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)) % 0.53/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_com_Osimps_I58_J_0,axiom, % 0.53/0.84 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__Collect_2,axiom, % 0.53/0.84 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) % 0.53/0.84 | ~ hBOOL(hAPP(V_P,V_x)) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_com_Osimps_I19_J_0,axiom, % 0.53/0.84 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ). % 0.53/0.84 % 0.53/0.84 cnf(cls_o__eq__dest_0,axiom, % 0.53/0.84 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a) % 0.53/0.84 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_comp__cong_0,axiom, % 0.53/0.84 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H)) % 0.53/0.84 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Diff__Int_0,axiom, % 0.53/0.84 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UN__Un_0,axiom, % 0.53/0.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_the__sym__eq__trivial_0,axiom, % 0.53/0.84 c_The(hAPP(c_fequal(T_a),V_x),T_a) = V_x ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Min__le_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_IntI_0,axiom, % 0.53/0.84 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Int__iff_2,axiom, % 0.53/0.84 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.53/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inf1I_0,axiom, % 0.53/0.84 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 0.53/0.84 | ~ hBOOL(hAPP(V_B,V_x)) % 0.53/0.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fun__left__comm__idem_Ofun__comp__idem_0,axiom, % 0.53/0.84 ( c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b) = hAPP(V_f,V_x) % 0.53/0.84 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_double__diff_0,axiom, % 0.53/0.84 ( 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 % 0.53/0.84 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__eqI_0,axiom, % 0.53/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.53/0.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.53/0.84 | c_lessequals(V_y_H,V_x_H,T_a) % 0.53/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_le__eqI_1,axiom, % 0.53/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.53/0.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.53/0.84 | c_lessequals(V_y,V_x,T_a) % 0.53/0.84 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Max__ge_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Sup__upper_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) % 0.53/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fcomp__assoc_0,axiom, % 0.53/0.84 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_com_Osimps_I12_J_0,axiom, % 0.53/0.84 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_linorder__linear_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_lessequals(V_y,V_x,T_a) % 0.53/0.84 | c_lessequals(V_x,V_y,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_finite__insert_0,axiom, % 0.53/0.84 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.53/0.84 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__insertI_0,axiom, % 0.53/0.84 c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__inter__insert_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__insert__right_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Un__insert__left_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__insertI2_0,axiom, % 0.53/0.84 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__subset_1,axiom, % 0.53/0.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_inj__on__insert_0,axiom, % 0.53/0.84 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.53/0.84 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__iff_1,axiom, % 0.53/0.84 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insertI1_0,axiom, % 0.53/0.84 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insertCI_1,axiom, % 0.53/0.84 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fun__left__comm__idem__insert_0,axiom, % 0.53/0.84 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__ident_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B) % 0.53/0.84 | hBOOL(c_in(V_x,V_B,T_a)) % 0.53/0.84 | hBOOL(c_in(V_x,V_A,T_a)) % 0.53/0.84 | V_A = V_B ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__absorb_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A % 0.53/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_restrict__map__to__empty_0,axiom, % 0.53/0.84 hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_o__def_0,axiom, % 0.53/0.84 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_id__def_0,axiom, % 0.53/0.84 hAPP(c_Fun_Oid(t_a),v_x) = v_x ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fcomp__def_0,axiom, % 0.53/0.84 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Osplit__asm_0,axiom, % 0.53/0.84 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a))) % 0.53/0.84 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Osplit_0,axiom, % 0.53/0.84 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a))) % 0.53/0.84 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Orecs_0,axiom, % 0.53/0.84 c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Ocases_0,axiom, % 0.53/0.84 c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_weaken_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_thin_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__sound_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_asm_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_escape_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_COMBI__def__raw_0,axiom, % 0.53/0.84 hAPP(c_COMBI(t_a),v_P) = v_P ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Loop_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_falseE_0,axiom, % 0.53/0.84 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_BodyN_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),V_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_weak__Body_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_OIf_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Sup__empty_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_singleton__conv2_0,axiom, % 0.53/0.84 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_subset__singletonD_0,axiom, % 0.53/0.84 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 0.53/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_singleton__iff_1,axiom, % 0.53/0.84 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 0.53/0.84 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 0.53/0.84 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Sup__singleton_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Nitpick_OEx1__def_2,axiom, % 0.53/0.84 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fold1Set__sing_1,axiom, % 0.53/0.84 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Min__singleton_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Nitpick_OThe__psimp_0,axiom, % 0.53/0.84 c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 0.53/0.84 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_inf,V_a),V_b) % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 0.53/0.84 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_sup,V_a),V_b) % 0.53/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Diff__insert2_0,axiom, % 0.53/0.84 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Diff__insert_0,axiom, % 0.53/0.84 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),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)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fold1Set__sing_0,axiom, % 0.53/0.84 ( V_a = V_b % 0.53/0.84 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_contents__eq_0,axiom, % 0.53/0.84 c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Nitpick_OEx1__def_3,axiom, % 0.53/0.84 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_singletonE_0,axiom, % 0.53/0.84 ( V_b = V_a % 0.53/0.84 | ~ hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_fold1__singleton_0,axiom, % 0.53/0.84 c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Max__singleton_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.84 | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__Diff__single_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_atLeastAtMost__singleton_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.84 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.53/0.84 | hBOOL(c_in(V_x,V_xa,T_a)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__is__Un_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Inf__singleton_0,axiom, % 0.53/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.53/0.84 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_bot__empty__eq_0,axiom, % 0.53/0.84 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) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq12_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H))) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq2_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq12_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq1_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq_2,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq1_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq12_2,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conseq2_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H))) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_escape_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 0.53/0.84 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_OSkip_0,axiom, % 0.53/0.84 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_Comp_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_hoare__derivs_Oinsert_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_derivs__insertD_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__code_1,axiom, % 0.53/0.84 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_cut_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_empty__not__insert_0,axiom, % 0.53/0.84 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Oinject_2,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 0.53/0.84 | V_fun2 = V_fun2_H ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Oinject_1,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 0.53/0.84 | V_com = V_com_H ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_triple_Oinject_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 0.53/0.84 | V_fun1 = V_fun1_H ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_doubleton__eq__iff_3,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.53/0.84 | V_b = V_c % 0.53/0.84 | V_b = V_d ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_doubleton__eq__iff_2,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.53/0.84 | V_a = V_d % 0.53/0.84 | V_b = V_d ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_doubleton__eq__iff_1,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.53/0.84 | V_b = V_c % 0.53/0.84 | V_a = V_c ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_doubleton__eq__iff_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.53/0.84 | V_a = V_d % 0.53/0.84 | V_a = V_c ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_bot1E_0,axiom, % 0.53/0.84 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_empty_0,axiom, % 0.53/0.84 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__code_0,axiom, % 0.53/0.84 ( hBOOL(hAPP(V_A,V_x)) % 0.53/0.84 | V_y = V_x % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__absorb2_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__not__empty_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_bot__fun__eq_0,axiom, % 0.53/0.84 ( ~ class_Orderings_Obot(T_b) % 0.53/0.84 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__commute_0,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_doubleton__eq__iff_4,axiom, % 0.53/0.84 hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_singleton__inject_0,axiom, % 0.53/0.84 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 0.53/0.84 | V_a = V_b ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_derivs__insertD_0,axiom, % 0.53/0.84 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 0.53/0.84 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_insert__code_2,axiom, % 0.53/0.84 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) % 0.53/0.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conjecture_0,negated_conjecture, % 0.53/0.84 hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_conjecture_1,negated_conjecture, % 0.53/0.84 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xb,v_c,V_xc,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 0.53/0.84 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.53/0.84 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Lattices_Olattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.53/0.84 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Lattices_Olattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 0.53/0.84 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.53/0.84 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 0.53/0.84 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 0.53/0.84 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.53/0.84 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.53/0.84 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Lattices_Olattice(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.53/0.84 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Orderings_Oorder(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.53/0.84 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_Orderings_Obot(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__HOL_Ominus,axiom, % 0.53/0.84 ( class_HOL_Ominus(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_HOL_Ominus(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_fun__HOL_Oord,axiom, % 0.53/0.84 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.53/0.84 | ~ class_HOL_Oord(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 0.53/0.84 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.53/0.84 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.53/0.84 class_Lattices_Olower__semilattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 0.53/0.84 class_Lattices_Odistrib__lattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.53/0.84 class_Lattices_Obounded__lattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 0.53/0.84 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.53/0.84 class_Orderings_Opreorder(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.53/0.84 class_Lattices_Olattice(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.53/0.84 class_Orderings_Oorder(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.53/0.84 class_Orderings_Obot(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__HOL_Ominus,axiom, % 0.53/0.84 class_HOL_Ominus(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_bool__HOL_Oord,axiom, % 0.53/0.84 class_HOL_Oord(tc_bool) ). % 0.53/0.84 % 0.53/0.84 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom, % 0.53/0.84 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1)) % 0.53/0.84 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.53/0.84 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 0.53/0.84 % 0.53/0.84 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.53/0.84 ( V_X = V_Y % 0.53/0.84 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 0.53/0.84 % 0.53/0.84 %------------------------------------------------------------------------------ % 0.53/0.84 %------------------------------------------- % 0.53/0.84 % Proof found % 0.53/0.84 % SZS status Theorem for theBenchmark % 0.53/0.84 % SZS output start Proof % 0.53/0.84 %ClaNum:694(EqnAxiom:198) % 0.53/0.84 %VarNum:3760(SingletonVarNum:1607) % 0.53/0.84 %MaxLitNum:6 % 0.53/0.84 %MaxfuncDepth:6 % 0.53/0.84 %SharedTerms:47 % 0.53/0.84 %goalClause: 217 359 % 0.53/0.84 %singleGoalClaCount:2 % 0.53/0.84 [199]P1(a1) % 0.53/0.84 [200]P2(a1) % 0.53/0.84 [201]P16(a1) % 0.53/0.84 [202]P3(a1) % 0.53/0.84 [203]P11(a1) % 0.53/0.84 [204]P17(a1) % 0.53/0.84 [205]P12(a1) % 0.53/0.84 [206]P13(a1) % 0.53/0.84 [207]P14(a1) % 0.53/0.84 [208]P15(a1) % 0.53/0.84 [209]P18(a1) % 0.53/0.84 [210]P22(a1) % 0.53/0.84 [217]P23(f5(f5(a48,a51),a68)) % 0.53/0.84 [231]E(f42(a51,f26(f49(a2,a1)),a2),f5(f26(f49(a2,a1)),a51)) % 0.53/0.84 [221]P7(f39(x2211),x2211,f49(x2211,a1)) % 0.53/0.84 [333]~E(f11(x3331),a10) % 0.53/0.84 [216]P4(f26(f49(x2161,a1)),x2161) % 0.53/0.84 [220]E(f26(f49(x2201,a1)),f8(a7,a1,x2201)) % 0.53/0.84 [219]P6(x2191,x2191,f49(x2192,a1)) % 0.53/0.84 [243]P9(f3(x2431),x2432,x2431,x2431) % 0.53/0.84 [244]P9(f6(x2441),x2442,x2441,x2441) % 0.53/0.84 [336]~E(f14(x3361,x3362),a10) % 0.53/0.84 [337]~E(f15(x3371,x3372),a10) % 0.53/0.84 [213]E(f5(f3(x2131),x2132),x2132) % 0.53/0.84 [214]E(f5(f6(x2141),x2142),x2142) % 0.53/0.84 [222]E(f27(x2221,x2221,f49(x2222,a1)),f26(f49(x2222,a1))) % 0.53/0.84 [226]P6(f26(f49(x2261,a1)),x2262,f49(x2261,a1)) % 0.53/0.84 [227]E(f27(x2271,f26(f49(x2272,a1)),f49(x2272,a1)),x2271) % 0.53/0.84 [232]E(f27(f26(f49(x2321,a1)),x2322,f49(x2321,a1)),f26(f49(x2321,a1))) % 0.53/0.84 [215]E(f25(f5(f24(x2151),x2152),x2151),x2152) % 0.53/0.84 [223]P23(f5(f5(f24(x2231),x2232),x2232)) % 0.53/0.84 [225]E(f5(f5(f39(x2251),x2252),f26(f49(x2251,a1))),f5(f24(x2251),x2252)) % 0.53/0.84 [228]P8(x2281,f26(f49(f43(x2282),a1)),x2282) % 0.53/0.84 [235]E(f5(f5(f28(f49(x2351,a1)),x2352),f26(f49(x2351,a1))),x2352) % 0.53/0.84 [239]E(f5(f5(f29(f49(x2391,a1)),x2392),f26(f49(x2391,a1))),f26(f49(x2391,a1))) % 0.53/0.84 [273]E(f5(f4(f24(x2731),x2731,x2731,a1),x2732),f5(f5(f39(x2731),x2732),f26(f49(x2731,a1)))) % 0.53/0.84 [354]~P23(f5(f26(f49(x3541,a1)),x3542)) % 0.53/0.84 [357]~P23(f42(x3571,f26(f49(x3572,a1)),x3572)) % 0.53/0.84 [229]E(f5(f5(f28(f49(x2291,a1)),x2292),x2292),x2292) % 0.53/0.84 [230]E(f5(f5(f29(f49(x2301,a1)),x2302),x2302),x2302) % 0.53/0.84 [237]E(f25(f5(f5(f39(x2371),x2372),f26(f49(x2371,a1))),x2371),x2372) % 0.53/0.84 [238]E(f40(f5(f5(f39(x2381),x2382),f26(f49(x2381,a1))),x2381),x2382) % 0.53/0.84 [242]E(f5(f5(f28(f49(x2421,a1)),f26(f49(x2421,a1))),x2422),x2422) % 0.53/0.84 [245]E(f5(f5(f29(f49(x2451,a1)),f26(f49(x2451,a1))),x2452),f26(f49(x2451,a1))) % 0.53/0.84 [270]E(f5(f34(x2701,f26(f49(a2,a1)),a2,x2702),a51),f35(x2702)) % 0.53/0.84 [292]E(f25(f5(f4(f24(x2921),x2921,x2921,a1),x2922),x2921),x2922) % 0.53/0.84 [359]~P8(a50,f5(f5(f39(f43(a2)),f30(x3591,a52,x3592,a2)),f26(f49(f43(a2),a1))),a2) % 0.53/0.84 [307]P23(f5(f5(f5(f39(x3071),x3072),f26(f49(x3071,a1))),f36(f5(f5(f39(x3071),x3072),f26(f49(x3071,a1))),x3071))) % 0.53/0.84 [338]~E(f11(x3381),f14(x3382,x3383)) % 0.53/0.84 [339]~E(f11(x3391),f15(x3392,x3393)) % 0.53/0.84 [340]~E(f14(x3401,x3402),f11(x3403)) % 0.53/0.84 [341]~E(f15(x3411,x3412),f11(x3413)) % 0.53/0.84 [345]~E(f13(x3451,x3452,x3453),a10) % 0.53/0.84 [240]P6(f27(x2401,x2402,f49(x2403,a1)),x2401,f49(x2403,a1)) % 0.53/0.84 [248]P9(x2481,f26(f49(x2482,a1)),x2482,x2483) % 0.53/0.84 [249]E(f27(f27(x2491,x2492,f49(x2493,a1)),x2492,f49(x2493,a1)),f27(x2491,x2492,f49(x2493,a1))) % 0.53/0.84 [261]E(f9(f26(f49(x2611,a1)),f8(x2612,f49(x2613,a1),x2611),x2611,f49(x2613,a1)),f26(f49(x2613,a1))) % 0.53/0.84 [265]E(f9(x2651,f8(f26(f49(x2652,a1)),f49(x2652,a1),x2653),x2653,f49(x2652,a1)),f26(f49(x2652,a1))) % 0.53/0.84 [299]E(f19(x2991,f6(x2992),x2992,x2993,x2992),x2991) % 0.53/0.84 [300]E(f22(x3001,f6(x3002),x3003,x3002,x3002),x3001) % 0.53/0.84 [301]E(f19(f6(x3011),x3012,x3011,x3011,x3013),x3012) % 0.53/0.84 [302]E(f22(f6(x3021),x3022,x3021,x3021,x3023),x3022) % 0.53/0.84 [233]P6(x2331,f5(f5(f39(x2332),x2333),x2331),f49(x2332,a1)) % 0.53/0.84 [254]E(f5(f5(f29(f49(x2541,a1)),x2542),f27(x2543,x2542,f49(x2541,a1))),f26(f49(x2541,a1))) % 0.53/0.84 [275]E(f5(f5(f39(x2751),x2752),f27(x2753,f5(f5(f39(x2751),x2752),f26(f49(x2751,a1))),f49(x2751,a1))),f5(f5(f39(x2751),x2752),x2753)) % 0.53/0.84 [353]~E(f5(f5(f39(x3531),x3532),x3533),f26(f49(x3531,a1))) % 0.53/0.84 [236]E(f5(f5(f39(x2361),x2362),f5(f5(f39(x2361),x2362),x2363)),f5(f5(f39(x2361),x2362),x2363)) % 0.53/0.84 [241]P23(f5(f5(f5(f39(x2411),x2412),x2413),x2412)) % 0.53/0.84 [246]E(f5(f5(f28(f49(x2461,a1)),x2462),x2463),f5(f5(f28(f49(x2461,a1)),x2463),x2462)) % 0.53/0.84 [247]E(f5(f5(f29(f49(x2471,a1)),x2472),x2473),f5(f5(f29(f49(x2471,a1)),x2473),x2472)) % 0.53/0.84 [253]P23(f42(x2531,f5(f5(f39(x2532),x2531),x2533),x2532)) % 0.53/0.84 [256]P6(x2561,f5(f5(f28(f49(x2562,a1)),x2563),x2561),f49(x2562,a1)) % 0.53/0.84 [257]P6(x2571,f5(f5(f28(f49(x2572,a1)),x2571),x2573),f49(x2572,a1)) % 0.53/0.84 [258]P6(f5(f5(f29(f49(x2581,a1)),x2582),x2583),x2583,f49(x2581,a1)) % 0.53/0.84 [259]P6(f5(f5(f29(f49(x2591,a1)),x2592),x2593),x2592,f49(x2591,a1)) % 0.53/0.84 [260]E(f5(f5(f28(f49(x2601,a1)),x2602),f27(x2603,x2602,f49(x2601,a1))),f5(f5(f28(f49(x2601,a1)),x2602),x2603)) % 0.53/0.84 [269]E(f5(f5(f28(f49(x2691,a1)),f27(x2692,x2693,f49(x2691,a1))),x2693),f5(f5(f28(f49(x2691,a1)),x2692),x2693)) % 0.53/0.84 [316]P8(x3161,f5(f5(f39(f43(x3162)),f30(x3163,a10,x3163,x3162)),f26(f49(f43(x3162),a1))),x3162) % 0.53/0.84 [358]~P23(f5(f18(x3581,f26(f49(x3582,a1)),x3582),x3583)) % 0.53/0.84 [264]E(f25(f18(x2641,f5(f5(f39(x2642),x2643),f26(f49(x2642,a1))),x2642),x2642),x2643) % 0.53/0.84 [266]E(f5(f5(f28(f49(x2661,a1)),x2662),f5(f5(f28(f49(x2661,a1)),x2662),x2663)),f5(f5(f28(f49(x2661,a1)),x2662),x2663)) % 0.53/0.84 [267]E(f5(f5(f29(f49(x2671,a1)),x2672),f5(f5(f29(f49(x2671,a1)),x2672),x2673)),f5(f5(f29(f49(x2671,a1)),x2672),x2673)) % 0.53/0.84 [271]E(f5(f5(f28(f49(x2711,a1)),f5(f5(f39(x2711),x2712),f26(f49(x2711,a1)))),x2713),f5(f5(f39(x2711),x2712),x2713)) % 0.53/0.84 [278]E(f5(f5(f28(f49(x2781,a1)),f27(x2782,x2783,f49(x2781,a1))),f5(f5(f29(f49(x2781,a1)),x2782),x2783)),x2782) % 0.53/0.84 [294]P23(f5(f18(x2941,f5(f5(f39(x2942),x2943),f26(f49(x2942,a1))),x2942),x2943)) % 0.53/0.84 [314]E(f5(f5(f28(f49(x3141,a1)),f5(f4(f24(x3141),x3141,x3141,a1),x3142)),x3143),f5(f5(f39(x3141),x3142),x3143)) % 0.53/0.84 [343]~E(f15(x3431,x3432),f14(x3433,x3434)) % 0.53/0.84 [346]~E(f11(x3461),f13(x3462,x3463,x3464)) % 0.53/0.84 [347]~E(f13(x3471,x3472,x3473),f11(x3474)) % 0.53/0.84 [224]E(f5(f8(x2241,x2242,x2243),x2244),x2241) % 0.53/0.84 [272]E(f27(f27(x2721,x2722,f49(x2723,a1)),f5(f5(f39(x2723),x2724),f26(f49(x2723,a1))),f49(x2723,a1)),f27(x2721,f5(f5(f39(x2723),x2724),x2722),f49(x2723,a1))) % 0.53/0.84 [277]E(f27(x2771,f9(f26(f49(x2772,a1)),x2773,x2772,f49(x2774,a1)),f49(x2774,a1)),x2771) % 0.53/0.84 [282]E(f27(f27(x2821,f5(f5(f39(x2822),x2823),f26(f49(x2822,a1))),f49(x2822,a1)),x2824,f49(x2822,a1)),f27(x2821,f5(f5(f39(x2822),x2823),x2824),f49(x2822,a1))) % 0.53/0.84 [291]E(f27(f5(f5(f29(f49(x2911,a1)),x2912),x2913),f5(f5(f29(f49(x2911,a1)),x2914),x2913),f49(x2911,a1)),f27(f5(f5(f29(f49(x2911,a1)),x2912),x2913),x2914,f49(x2911,a1))) % 0.53/0.84 [305]E(f23(x3051,x3052,f5(x3051,x3052),x3053,x3054),x3051) % 0.53/0.84 [274]E(f27(f5(f5(f29(f49(x2741,a1)),x2742),x2743),x2744,f49(x2741,a1)),f5(f5(f29(f49(x2741,a1)),x2742),f27(x2743,x2744,f49(x2741,a1)))) % 0.53/0.84 [279]E(f5(f5(f28(f49(x2791,a1)),x2792),f9(f26(f49(x2793,a1)),x2794,x2793,f49(x2791,a1))),x2792) % 0.53/0.84 [281]E(f5(f5(f39(x2811),x2812),f9(f26(f49(x2813,a1)),x2814,x2813,f49(x2811,a1))),f5(f5(f39(x2811),x2812),f26(f49(x2811,a1)))) % 0.53/0.84 [287]E(f27(f5(f5(f29(f49(x2871,a1)),x2872),x2873),f5(f5(f29(f49(x2871,a1)),x2872),x2874),f49(x2871,a1)),f5(f5(f29(f49(x2871,a1)),x2872),f27(x2873,x2874,f49(x2871,a1)))) % 0.53/0.84 [288]E(f5(f5(f29(f49(x2881,a1)),f27(x2882,x2883,f49(x2881,a1))),f27(x2882,x2884,f49(x2881,a1))),f27(x2882,f5(f5(f28(f49(x2881,a1)),x2883),x2884),f49(x2881,a1))) % 0.53/0.84 [289]E(f5(f5(f28(f49(x2891,a1)),f27(x2892,x2893,f49(x2891,a1))),f27(x2892,x2894,f49(x2891,a1))),f27(x2892,f5(f5(f29(f49(x2891,a1)),x2893),x2894),f49(x2891,a1))) % 0.53/0.84 [290]E(f5(f5(f28(f49(x2901,a1)),f27(x2902,x2903,f49(x2901,a1))),f27(x2904,x2903,f49(x2901,a1))),f27(f5(f5(f28(f49(x2901,a1)),x2902),x2904),x2903,f49(x2901,a1))) % 0.53/0.84 [324]E(f5(f19(f8(x3241,x3242,x3243),x3244,x3243,x3242,a2),a51),x3241) % 0.53/0.84 [250]E(f5(f5(f39(x2501),x2502),f5(f5(f39(x2501),x2503),x2504)),f5(f5(f39(x2501),x2503),f5(f5(f39(x2501),x2502),x2504))) % 0.53/0.84 [295]E(f27(f5(f5(f29(f49(x2951,a1)),x2952),x2953),f5(f5(f29(f49(x2951,a1)),x2954),x2953),f49(x2951,a1)),f5(f5(f29(f49(x2951,a1)),f27(x2952,x2954,f49(x2951,a1))),x2953)) % 0.53/0.84 [310]E(f5(f5(f28(f49(x3101,a1)),f9(f26(f49(x3102,a1)),x3103,x3102,f49(x3101,a1))),x3104),x3104) % 0.53/0.84 [327]P8(x3271,f5(f5(f39(f43(x3272)),f30(f8(f8(a7,a1,a44),f49(a44,a1),x3272),x3273,x3274,x3272)),f26(f49(f43(x3272),a1))),x3272) % 0.53/0.84 [268]E(f5(f5(f28(f49(x2681,a1)),x2682),f5(f5(f39(x2681),x2683),x2684)),f5(f5(f39(x2681),x2683),f5(f5(f28(f49(x2681,a1)),x2682),x2684))) % 0.53/0.84 [276]E(f5(f5(f28(f49(x2761,a1)),f5(f5(f39(x2761),x2762),x2763)),x2764),f5(f5(f39(x2761),x2762),f5(f5(f28(f49(x2761,a1)),x2763),x2764))) % 0.53/0.84 [280]E(f5(f5(f29(f49(x2801,a1)),f5(f5(f39(x2801),x2802),x2803)),f5(f5(f39(x2801),x2802),x2804)),f5(f5(f39(x2801),x2802),f5(f5(f29(f49(x2801,a1)),x2803),x2804))) % 0.53/0.84 [285]E(f5(f5(f28(f49(x2851,a1)),x2852),f5(f5(f28(f49(x2851,a1)),x2853),x2854)),f5(f5(f28(f49(x2851,a1)),x2853),f5(f5(f28(f49(x2851,a1)),x2852),x2854))) % 0.53/0.84 [286]E(f5(f5(f29(f49(x2861,a1)),x2862),f5(f5(f29(f49(x2861,a1)),x2863),x2864)),f5(f5(f29(f49(x2861,a1)),x2863),f5(f5(f29(f49(x2861,a1)),x2862),x2864))) % 0.53/0.84 [308]E(f5(f5(f29(f49(x3081,a1)),f5(f5(f28(f49(x3081,a1)),x3082),x3083)),f5(f5(f28(f49(x3081,a1)),x3082),x3084)),f5(f5(f28(f49(x3081,a1)),x3082),f5(f5(f29(f49(x3081,a1)),x3083),x3084))) % 0.53/0.84 [309]E(f5(f5(f28(f49(x3091,a1)),f5(f5(f29(f49(x3091,a1)),x3092),x3093)),f5(f5(f29(f49(x3091,a1)),x3092),x3094)),f5(f5(f29(f49(x3091,a1)),x3092),f5(f5(f28(f49(x3091,a1)),x3093),x3094))) % 0.53/0.84 [331]E(f5(f5(f29(f49(x3311,a1)),f5(f5(f29(f49(x3311,a1)),f5(f5(f28(f49(x3311,a1)),x3312),x3313)),f5(f5(f28(f49(x3311,a1)),x3313),x3314))),f5(f5(f28(f49(x3311,a1)),x3314),x3312)),f5(f5(f28(f49(x3311,a1)),f5(f5(f28(f49(x3311,a1)),f5(f5(f29(f49(x3311,a1)),x3312),x3313)),f5(f5(f29(f49(x3311,a1)),x3313),x3314))),f5(f5(f29(f49(x3311,a1)),x3314),x3312))) % 0.53/0.84 [297]E(f5(f5(f28(f49(x2971,a1)),f5(f5(f28(f49(x2971,a1)),x2972),x2973)),x2974),f5(f5(f28(f49(x2971,a1)),x2972),f5(f5(f28(f49(x2971,a1)),x2973),x2974))) % 0.53/0.84 [298]E(f5(f5(f29(f49(x2981,a1)),f5(f5(f29(f49(x2981,a1)),x2982),x2983)),x2984),f5(f5(f29(f49(x2981,a1)),x2982),f5(f5(f29(f49(x2981,a1)),x2983),x2984))) % 0.53/0.84 [311]E(f5(f5(f29(f49(x3111,a1)),f5(f5(f28(f49(x3111,a1)),x3112),x3113)),f5(f5(f28(f49(x3111,a1)),x3114),x3113)),f5(f5(f28(f49(x3111,a1)),f5(f5(f29(f49(x3111,a1)),x3112),x3114)),x3113)) % 0.53/0.84 [312]E(f5(f5(f28(f49(x3121,a1)),f5(f5(f29(f49(x3121,a1)),x3122),x3123)),f5(f5(f29(f49(x3121,a1)),x3124),x3123)),f5(f5(f29(f49(x3121,a1)),f5(f5(f28(f49(x3121,a1)),x3122),x3124)),x3123)) % 0.53/0.84 [348]~E(f14(x3481,x3482),f13(x3483,x3484,x3485)) % 0.53/0.84 [349]~E(f15(x3491,x3492),f13(x3493,x3494,x3495)) % 0.53/0.84 [350]~E(f13(x3501,x3502,x3503),f14(x3504,x3505)) % 0.53/0.84 [351]~E(f13(x3511,x3512,x3513),f15(x3514,x3515)) % 0.53/0.84 [318]E(f5(f23(x3181,x3182,x3183,x3184,x3185),x3182),x3183) % 0.53/0.84 [296]E(f9(f5(f5(f39(x2961),x2962),x2963),x2964,x2961,f49(x2965,a1)),f5(f5(f28(f49(x2965,a1)),f5(x2964,x2962)),f9(x2963,x2964,x2961,f49(x2965,a1)))) % 0.53/0.84 [315]E(f5(f5(f28(f49(x3151,a1)),f9(x3152,x3153,x3154,f49(x3151,a1))),f9(x3155,x3153,x3154,f49(x3151,a1))),f9(f5(f5(f28(f49(x3154,a1)),x3152),x3155),x3153,x3154,f49(x3151,a1))) % 0.53/0.84 [313]E(f23(f34(x3131,x3132,x3133,x3134),x3135,f5(x3131,x3135),x3133,f47(x3134)),f34(x3131,f5(f5(f39(x3133),x3135),x3132),x3133,x3134)) % 0.53/0.84 [306]E(f34(f34(x3061,x3062,x3063,x3064),x3065,x3063,x3064),f34(x3061,f5(f5(f29(f49(x3063,a1)),x3062),x3065),x3063,x3064)) % 0.53/0.84 [322]E(f5(f19(x3221,x3222,x3223,x3224,x3225),x3226),f5(x3221,f5(x3222,x3226))) % 0.53/0.84 [323]E(f5(f22(x3231,x3232,x3233,x3234,x3235),x3236),f5(x3232,f5(x3231,x3236))) % 0.53/0.84 [325]E(f23(f34(x3251,f27(x3252,f5(f5(f39(x3253),x3254),f26(f49(x3253,a1))),f49(x3253,a1)),x3253,x3255),x3254,x3256,x3253,f47(x3255)),f23(f34(x3251,x3252,x3253,x3255),x3254,x3256,x3253,f47(x3255))) % 0.53/0.84 [326]E(f23(f23(x3261,x3262,x3263,x3264,x3265),x3262,x3266,x3264,x3265),f23(x3261,x3262,x3266,x3264,x3265)) % 0.53/0.84 [283]E(f32(x2831,f30(x2832,x2833,x2834,x2835),x2835,x2836),f5(f5(f5(x2831,x2832),x2833),x2834)) % 0.53/0.84 [284]E(f33(x2841,f30(x2842,x2843,x2844,x2845),x2845,x2846),f5(f5(f5(x2841,x2842),x2843),x2844)) % 0.53/0.84 [293]E(f5(f5(f4(x2931,x2932,x2933,x2934),x2935),x2936),f5(f5(x2931,x2936),x2935)) % 0.53/0.84 [328]E(f19(x3281,f19(x3282,x3283,x3284,x3285,x3286),x3285,x3287,x3286),f19(f19(x3281,x3282,x3285,x3287,x3284),x3283,x3284,x3287,x3286)) % 0.53/0.84 [329]E(f22(f22(x3291,x3292,x3293,x3294,x3295),x3296,x3293,x3295,x3297),f22(x3291,f22(x3292,x3296,x3294,x3295,x3297),x3293,x3294,x3297)) % 0.53/0.84 [330]E(f19(x3301,f23(x3302,x3303,x3304,x3305,x3306),x3306,x3307,x3305),f23(f19(x3301,x3302,x3306,x3307,x3305),x3303,f5(x3301,x3304),x3305,x3307)) % 0.53/0.84 [361]~P13(x3611)+P13(f47(x3611)) % 0.53/0.84 [385]~P1(x3851)+P7(f28(x3851),x3851,x3851) % 0.53/0.84 [386]~P16(x3861)+P7(f29(x3861),x3861,x3861) % 0.53/0.84 [389]~P18(x3891)+E(f5(f26(f49(a2,x3891)),a51),f26(x3891)) % 0.53/0.84 [391]~P3(x3911)+E(f16(f26(f49(x3911,a1)),x3911),f26(x3911)) % 0.53/0.84 [362]~P13(x3622)+P4(x3621,x3622) % 0.53/0.84 [381]~P17(x3812)+P6(x3811,x3811,x3812) % 0.53/0.84 [382]~P22(x3822)+P6(x3821,x3821,x3822) % 0.53/0.84 [360]E(x3601,x3602)+~E(f11(x3601),f11(x3602)) % 0.53/0.84 [363]~P2(x3632)+P1(f49(x3631,x3632)) % 0.53/0.84 [364]~P2(x3642)+P2(f49(x3641,x3642)) % 0.53/0.84 [365]~P2(x3652)+P16(f49(x3651,x3652)) % 0.53/0.84 [366]~P3(x3662)+P3(f49(x3661,x3662)) % 0.53/0.84 [367]~P11(x3672)+P11(f49(x3671,x3672)) % 0.53/0.84 [368]~P17(x3682)+P17(f49(x3681,x3682)) % 0.53/0.84 [369]~P12(x3692)+P12(f49(x3691,x3692)) % 0.53/0.84 [370]~P14(x3702)+P14(f49(x3701,x3702)) % 0.53/0.84 [371]~P15(x3712)+P15(f49(x3711,x3712)) % 0.53/0.84 [372]~P18(x3722)+P18(f49(x3721,x3722)) % 0.53/0.84 [373]~P22(x3732)+P22(f49(x3731,x3732)) % 0.53/0.84 [384]~P18(x3841)+P6(f26(x3841),x3842,x3841) % 0.53/0.84 [383]~P15(x3831)+E(f5(f5(f28(x3831),x3832),f26(x3831)),x3832) % 0.53/0.84 [387]~P15(x3871)+E(f5(f5(f29(x3871),x3872),f26(x3871)),f26(x3871)) % 0.53/0.84 [459]~P6(x4591,f26(f49(x4592,a1)),f49(x4592,a1))+E(x4591,f26(f49(x4592,a1))) % 0.53/0.84 [379]~P1(x3791)+E(f5(f5(f28(x3791),x3792),x3792),x3792) % 0.53/0.84 [380]~P16(x3801)+E(f5(f5(f29(x3801),x3802),x3802),x3802) % 0.53/0.84 [388]~P15(x3881)+E(f5(f5(f28(x3881),f26(x3881)),x3882),x3882) % 0.53/0.84 [390]~P15(x3901)+E(f5(f5(f29(x3901),f26(x3901)),x3902),f26(x3901)) % 0.53/0.84 [425]~P17(x4252)+E(f41(x4251,x4251,x4252),f5(f5(f39(x4252),x4251),f26(f49(x4252,a1)))) % 0.53/0.84 [455]~P21(x4551)+E(f20(f5(f5(f39(x4551),x4552),f26(f49(x4551,a1))),x4551),x4552) % 0.53/0.84 [456]~P3(x4561)+E(f17(f5(f5(f39(x4561),x4562),f26(f49(x4561,a1))),x4561),x4562) % 0.53/0.84 [457]~P3(x4571)+E(f16(f5(f5(f39(x4571),x4572),f26(f49(x4571,a1))),x4571),x4572) % 0.53/0.84 [458]~P21(x4581)+E(f21(f5(f5(f39(x4581),x4582),f26(f49(x4581,a1))),x4581),x4582) % 0.53/0.84 [402]~P8(x4021,x4022,x4023)+P10(x4021,x4022,x4023) % 0.53/0.84 [412]~P23(f5(x4122,x4121))+P23(f42(x4121,x4122,x4123)) % 0.53/0.84 [443]P23(f5(x4431,x4432))+~P23(f42(x4432,x4431,x4433)) % 0.53/0.84 [392]~P23(f5(x3921,x3923))+~E(x3921,f26(f49(x3922,a1))) % 0.53/0.84 [393]~P23(f5(x3932,x3933))+~E(f26(f49(x3931,a1)),x3932) % 0.53/0.84 [435]~P4(x4351,x4353)+P4(f27(x4351,x4352,f49(x4353,a1)),x4353) % 0.53/0.84 [436]P8(x4361,x4362,x4363)+~P6(x4362,x4361,f49(f43(x4363),a1)) % 0.53/0.84 [552]P23(f42(x5522,x5523,x5521))+E(f27(f5(f5(f39(x5521),x5522),x5523),f5(f5(f39(x5521),x5522),f26(f49(x5521,a1))),f49(x5521,a1)),x5523) % 0.53/0.84 [396]~P1(x3961)+E(f5(f5(f28(x3961),x3962),x3963),f5(f5(f28(x3961),x3963),x3962)) % 0.53/0.84 [397]~P2(x3971)+E(f5(f5(f28(x3971),x3972),x3973),f5(f5(f28(x3971),x3973),x3972)) % 0.53/0.84 [398]~P2(x3981)+E(f5(f5(f29(x3981),x3982),x3983),f5(f5(f29(x3981),x3983),x3982)) % 0.53/0.84 [399]~P16(x3991)+E(f5(f5(f29(x3991),x3992),x3993),f5(f5(f29(x3991),x3993),x3992)) % 0.53/0.84 [401]~P4(x4013,x4011)+P4(f5(f5(f39(x4011),x4012),x4013),x4011) % 0.53/0.84 [417]~P1(x4172)+P6(x4171,f5(f5(f28(x4172),x4173),x4171),x4172) % 0.53/0.84 [418]~P2(x4182)+P6(x4181,f5(f5(f28(x4182),x4183),x4181),x4182) % 0.53/0.84 [419]~P1(x4192)+P6(x4191,f5(f5(f28(x4192),x4191),x4193),x4192) % 0.53/0.84 [420]~P2(x4202)+P6(x4201,f5(f5(f28(x4202),x4201),x4203),x4202) % 0.53/0.84 [421]~P2(x4211)+P6(f5(f5(f29(x4211),x4212),x4213),x4213,x4211) % 0.53/0.84 [422]~P16(x4221)+P6(f5(f5(f29(x4221),x4222),x4223),x4223,x4221) % 0.53/0.84 [423]~P2(x4231)+P6(f5(f5(f29(x4231),x4232),x4233),x4232,x4231) % 0.53/0.84 [424]~P16(x4241)+P6(f5(f5(f29(x4241),x4242),x4243),x4242,x4241) % 0.53/0.84 [426]E(x4261,x4262)+~P23(f5(f5(f24(x4263),x4261),x4262)) % 0.53/0.84 [437]P4(x4371,x4372)+~P4(f5(f5(f39(x4372),x4373),x4371),x4372) % 0.53/0.84 [454]~P23(f42(x4542,x4543,x4541))+E(f5(f5(f39(x4541),x4542),x4543),x4543) % 0.53/0.84 [477]~P12(x4773)+E(f27(f5(x4771,a51),f5(x4772,a51),x4773),f5(f27(x4771,x4772,f49(a2,x4773)),a51)) % 0.53/0.84 [507]E(x5071,x5072)+~E(f5(f5(f39(x5073),x5071),f26(f49(x5073,a1))),f5(f5(f39(x5073),x5072),f26(f49(x5073,a1)))) % 0.53/0.84 [537]~P6(x5372,x5373,f49(x5371,a1))+E(f5(f5(f28(f49(x5371,a1)),x5372),f27(x5373,x5372,f49(x5371,a1))),x5373) % 0.53/0.84 [602]~P23(f42(x6022,x6023,x6021))+E(f5(f5(f39(x6021),x6022),f27(x6023,f5(f5(f39(x6021),x6022),f26(f49(x6021,a1))),f49(x6021,a1))),x6023) % 0.53/0.84 [415]~P2(x4151)+E(f5(f5(f28(x4151),x4152),f5(f5(f29(x4151),x4152),x4153)),x4152) % 0.53/0.84 [416]~P2(x4161)+E(f5(f5(f29(x4161),x4162),f5(f5(f28(x4161),x4162),x4163)),x4162) % 0.53/0.84 [440]~P3(x4401)+E(f17(f5(f5(f39(x4401),x4402),x4403),x4401),f5(f5(f29(x4401),x4402),f17(x4403,x4401))) % 0.53/0.84 [441]~P3(x4411)+E(f16(f5(f5(f39(x4411),x4412),x4413),x4411),f5(f5(f28(x4411),x4412),f16(x4413,x4411))) % 0.53/0.84 [445]~P1(x4451)+E(f5(f5(f28(x4451),x4452),f5(f5(f28(x4451),x4452),x4453)),f5(f5(f28(x4451),x4452),x4453)) % 0.53/0.84 [446]~P2(x4461)+E(f5(f5(f28(x4461),x4462),f5(f5(f28(x4461),x4462),x4463)),f5(f5(f28(x4461),x4462),x4463)) % 0.53/0.84 [447]~P2(x4471)+E(f5(f5(f29(x4471),x4472),f5(f5(f29(x4471),x4472),x4473)),f5(f5(f29(x4471),x4472),x4473)) % 0.53/0.84 [448]~P16(x4481)+E(f5(f5(f29(x4481),x4482),f5(f5(f29(x4481),x4482),x4483)),f5(f5(f29(x4481),x4482),x4483)) % 0.53/0.84 [473]~P6(x4732,x4733,f49(x4731,a1))+E(f5(f5(f28(f49(x4731,a1)),x4732),x4733),x4733) % 0.53/0.84 [474]~P6(x4743,x4742,f49(x4741,a1))+E(f5(f5(f28(f49(x4741,a1)),x4742),x4743),x4742) % 0.53/0.84 [475]~P6(x4753,x4752,f49(x4751,a1))+E(f5(f5(f29(f49(x4751,a1)),x4752),x4753),x4753) % 0.53/0.84 [476]~P6(x4762,x4763,f49(x4761,a1))+E(f5(f5(f29(f49(x4761,a1)),x4762),x4763),x4762) % 0.53/0.84 [485]E(x4851,f26(f49(x4852,a1)))+~E(f5(f5(f28(f49(x4852,a1)),x4853),x4851),f26(f49(x4852,a1))) % 0.53/0.84 [486]E(x4861,f26(f49(x4862,a1)))+~E(f5(f5(f28(f49(x4862,a1)),x4861),x4863),f26(f49(x4862,a1))) % 0.53/0.84 [489]P6(x4891,x4892,f49(x4893,a1))+~E(f5(f5(f28(f49(x4893,a1)),x4891),x4892),x4892) % 0.53/0.84 [505]~P4(x5053,x5051)+P4(f5(f5(f29(f49(x5051,a1)),x5052),x5053),x5051) % 0.53/0.84 [506]~P4(x5062,x5061)+P4(f5(f5(f29(f49(x5061,a1)),x5062),x5063),x5061) % 0.53/0.84 [516]E(f27(x5161,x5162,f49(x5163,a1)),x5161)+~E(f5(f5(f29(f49(x5163,a1)),x5161),x5162),f26(f49(x5163,a1))) % 0.53/0.84 [547]P4(x5471,x5472)+~P4(f5(f5(f28(f49(x5472,a1)),x5473),x5471),x5472) % 0.53/0.84 [548]P4(x5481,x5482)+~P4(f5(f5(f28(f49(x5482,a1)),x5481),x5483),x5482) % 0.53/0.84 [610]E(x6101,x6102)+~P23(f42(x6101,f5(f5(f39(x6103),x6102),f26(f49(x6103,a1))),x6103)) % 0.53/0.84 [619]E(x6191,f36(f5(f5(f39(x6192),x6193),f26(f49(x6192,a1))),x6192))+~P23(f5(f5(f5(f39(x6192),x6193),f26(f49(x6192,a1))),x6191)) % 0.53/0.84 [538]~P2(x5381)+E(f5(f5(f5(f28(f49(a2,x5381)),x5382),x5383),a51),f5(f5(f28(x5381),f5(x5382,a51)),f5(x5383,a51))) % 0.53/0.84 [539]~P2(x5391)+E(f5(f5(f5(f29(f49(a2,x5391)),x5392),x5393),a51),f5(f5(f29(x5391),f5(x5392,a51)),f5(x5393,a51))) % 0.53/0.84 [558]~P3(x5581)+E(f17(f5(f5(f39(x5581),x5582),f5(f5(f39(x5581),x5583),f26(f49(x5581,a1)))),x5581),f5(f5(f29(x5581),x5582),x5583)) % 0.53/0.84 [559]~P3(x5591)+E(f16(f5(f5(f39(x5591),x5592),f5(f5(f39(x5591),x5593),f26(f49(x5591,a1)))),x5591),f5(f5(f28(x5591),x5592),x5593)) % 0.53/0.84 [375]E(x3751,x3752)+~E(f14(x3753,x3751),f14(x3754,x3752)) % 0.53/0.84 [376]E(x3761,x3762)+~E(f15(x3763,x3761),f15(x3764,x3762)) % 0.53/0.84 [377]E(x3771,x3772)+~E(f14(x3771,x3773),f14(x3772,x3774)) % 0.53/0.84 [378]E(x3781,x3782)+~E(f15(x3781,x3783),f15(x3782,x3784)) % 0.53/0.84 [540]~P23(f42(x5402,x5404,x5401))+E(f27(f5(f5(f39(x5401),x5402),x5403),x5404,f49(x5401,a1)),f27(x5403,x5404,f49(x5401,a1))) % 0.53/0.84 [541]E(f9(x5411,f8(x5413,f49(x5414,a1),x5412),x5412,f49(x5414,a1)),x5413)+E(x5411,f26(f49(x5412,a1))) % 0.53/0.84 [573]~P4(f27(x5731,x5734,f49(x5732,a1)),x5732)+P4(f27(x5731,f5(f5(f39(x5732),x5733),x5734),f49(x5732,a1)),x5732) % 0.53/0.84 [588]~P4(f27(x5881,f5(f5(f39(x5883),x5884),x5882),f49(x5883,a1)),x5883)+P4(f27(x5881,x5882,f49(x5883,a1)),x5883) % 0.53/0.84 [640]~P7(x6401,x6404,x6403)+E(f19(f5(x6401,x6402),f5(x6401,x6402),x6403,x6403,x6403),f5(x6401,x6402)) % 0.53/0.84 [488]~P6(x4881,x4884,f49(x4882,a1))+P6(x4881,f5(f5(f39(x4882),x4883),x4884),f49(x4882,a1)) % 0.53/0.84 [518]P6(x5181,x5182,f49(x5183,a1))+~P6(f5(f5(f39(x5183),x5184),x5181),x5182,f49(x5183,a1)) % 0.53/0.84 [524]P23(f42(x5241,x5242,x5243))+~P6(f5(f5(f39(x5243),x5241),x5244),x5242,f49(x5243,a1)) % 0.53/0.84 [526]~P6(x5263,x5264,f49(x5261,a1))+P6(f5(f5(f39(x5261),x5262),x5263),f5(f5(f39(x5261),x5262),x5264),f49(x5261,a1)) % 0.53/0.84 [551]P23(f42(x5512,x5514,x5511))+E(f27(f5(f5(f39(x5511),x5512),x5513),x5514,f49(x5511,a1)),f5(f5(f39(x5511),x5512),f27(x5513,x5514,f49(x5511,a1)))) % 0.53/0.84 [592]P23(f42(x5921,x5922,x5923))+~P23(f42(x5921,f27(x5922,x5924,f49(x5923,a1)),x5923)) % 0.53/0.85 [611]~P23(f42(x6111,x6112,x6113))+~P23(f42(x6111,f27(x6114,x6112,f49(x6113,a1)),x6113)) % 0.53/0.85 [480]~P23(f5(x4803,x4804))+P23(f5(f5(f5(f39(x4801),x4802),x4803),x4804)) % 0.53/0.85 [498]~P1(x4981)+E(f5(f5(f28(x4981),x4982),f5(f5(f28(x4981),x4983),x4984)),f5(f5(f28(x4981),x4983),f5(f5(f28(x4981),x4982),x4984))) % 0.53/0.85 [499]~P2(x4991)+E(f5(f5(f28(x4991),x4992),f5(f5(f28(x4991),x4993),x4994)),f5(f5(f28(x4991),x4993),f5(f5(f28(x4991),x4992),x4994))) % 0.53/0.85 [500]~P2(x5001)+E(f5(f5(f29(x5001),x5002),f5(f5(f29(x5001),x5003),x5004)),f5(f5(f29(x5001),x5003),f5(f5(f29(x5001),x5002),x5004))) % 0.53/0.85 [501]~P16(x5011)+E(f5(f5(f29(x5011),x5012),f5(f5(f29(x5011),x5013),x5014)),f5(f5(f29(x5011),x5013),f5(f5(f29(x5011),x5012),x5014))) % 0.53/0.85 [520]P8(x5201,x5202,x5203)+~P8(x5201,f5(f5(f39(f43(x5203)),x5204),x5202),x5203) % 0.53/0.85 [550]~P23(f42(x5501,x5504,x5502))+P23(f42(x5501,f5(f5(f39(x5502),x5503),x5504),x5502)) % 0.53/0.85 [553]P23(f42(x5533,x5532,x5531))+E(f5(f5(f29(f49(x5531,a1)),x5532),f5(f5(f39(x5531),x5533),x5534)),f5(f5(f29(f49(x5531,a1)),x5532),x5534)) % 0.53/0.85 [554]~P11(x5541)+E(f5(f5(f29(x5541),f5(f5(f28(x5541),x5542),x5543)),f5(f5(f28(x5541),x5542),x5544)),f5(f5(f28(x5541),x5542),f5(f5(f29(x5541),x5543),x5544))) % 0.53/0.85 [555]~P11(x5551)+E(f5(f5(f28(x5551),f5(f5(f29(x5551),x5552),x5553)),f5(f5(f29(x5551),x5552),x5554)),f5(f5(f29(x5551),x5552),f5(f5(f28(x5551),x5553),x5554))) % 0.53/0.85 [574]P6(x5741,x5742,f49(x5743,a1))+~P6(x5741,f5(f5(f29(f49(x5743,a1)),x5744),x5742),f49(x5743,a1)) % 0.53/0.85 [575]P6(x5751,x5752,f49(x5753,a1))+~P6(x5751,f5(f5(f29(f49(x5753,a1)),x5752),x5754),f49(x5753,a1)) % 0.53/0.85 [576]P6(x5761,x5762,f49(x5763,a1))+~P6(f5(f5(f28(f49(x5763,a1)),x5764),x5761),x5762,f49(x5763,a1)) % 0.53/0.85 [577]P6(x5771,x5772,f49(x5773,a1))+~P6(f5(f5(f28(f49(x5773,a1)),x5771),x5774),x5772,f49(x5773,a1)) % 0.53/0.85 [580]~P8(x5801,f5(f5(f39(f43(x5802)),x5803),x5804),x5802)+P8(x5801,f5(f5(f39(f43(x5802)),x5803),f26(f49(f43(x5802),a1))),x5802) % 0.53/0.85 [587]~P6(f27(x5871,x5873,f49(x5872,a1)),x5874,f49(x5872,a1))+P6(x5871,f5(f5(f28(f49(x5872,a1)),x5873),x5874),f49(x5872,a1)) % 0.53/0.85 [604]P6(f27(x6041,x6042,f49(x6043,a1)),x6044,f49(x6043,a1))+~P6(x6041,f5(f5(f28(f49(x6043,a1)),x6042),x6044),f49(x6043,a1)) % 0.53/0.85 [625]~P2(x6251)+P6(f5(f5(f28(x6251),x6252),f5(f5(f29(x6251),x6253),x6254)),f5(f5(f29(x6251),f5(f5(f28(x6251),x6252),x6253)),f5(f5(f28(x6251),x6252),x6254)),x6251) % 0.53/0.85 [626]~P2(x6261)+P6(f5(f5(f28(x6261),f5(f5(f29(x6261),x6262),x6263)),f5(f5(f29(x6261),x6262),x6264)),f5(f5(f29(x6261),x6262),f5(f5(f28(x6261),x6263),x6264)),x6261) % 0.53/0.85 [661]P8(x6612,f5(f5(f39(f43(a2)),f30(x6611,x6614,x6613,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6611,f53(x6612,x6611,x6613,x6614)),f61(x6612,x6611,x6613,x6614))) % 0.53/0.85 [662]P8(x6622,f5(f5(f39(f43(a2)),f30(x6621,x6624,x6623,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6621,f62(x6622,x6621,x6623,x6624)),f66(x6622,x6621,x6623,x6624))) % 0.53/0.85 [663]P8(x6632,f5(f5(f39(f43(a2)),f30(x6631,x6634,x6633,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6631,f63(x6632,x6631,x6633,x6634)),f64(x6632,x6631,x6633,x6634))) % 0.53/0.85 [683]P8(x6831,f5(f5(f39(f43(a2)),f30(x6832,x6833,x6834,a2)),f26(f49(f43(a2),a1))),a2)+~P8(x6831,f5(f5(f39(f43(a2)),f30(f8(f5(f4(f24(a44),a44,a44,a1),f61(x6831,x6832,x6834,x6833)),f49(a44,a1),a2),x6833,f8(f5(x6834,f53(x6831,x6832,x6834,x6833)),f49(a44,a1),a2),a2)),f26(f49(f43(a2),a1))),a2) % 0.53/0.85 [533]~P1(x5331)+E(f5(f5(f28(x5331),f5(f5(f28(x5331),x5332),x5333)),x5334),f5(f5(f28(x5331),x5332),f5(f5(f28(x5331),x5333),x5334))) % 0.53/0.85 [534]~P2(x5341)+E(f5(f5(f28(x5341),f5(f5(f28(x5341),x5342),x5343)),x5344),f5(f5(f28(x5341),x5342),f5(f5(f28(x5341),x5343),x5344))) % 0.53/0.85 [535]~P2(x5351)+E(f5(f5(f29(x5351),f5(f5(f29(x5351),x5352),x5353)),x5354),f5(f5(f29(x5351),x5352),f5(f5(f29(x5351),x5353),x5354))) % 0.53/0.85 [536]~P16(x5361)+E(f5(f5(f29(x5361),f5(f5(f29(x5361),x5362),x5363)),x5364),f5(f5(f29(x5361),x5362),f5(f5(f29(x5361),x5363),x5364))) % 0.53/0.85 [560]P23(f42(x5602,x5604,x5601))+E(f5(f5(f29(f49(x5601,a1)),f5(f5(f39(x5601),x5602),x5603)),x5604),f5(f5(f29(f49(x5601,a1)),x5603),x5604)) % 0.53/0.85 [570]~P11(x5701)+E(f5(f5(f29(x5701),f5(f5(f28(x5701),x5702),x5703)),f5(f5(f28(x5701),x5704),x5703)),f5(f5(f28(x5701),f5(f5(f29(x5701),x5702),x5704)),x5703)) % 0.53/0.85 [571]~P11(x5711)+E(f5(f5(f28(x5711),f5(f5(f29(x5711),x5712),x5713)),f5(f5(f29(x5711),x5714),x5713)),f5(f5(f29(x5711),f5(f5(f28(x5711),x5712),x5714)),x5713)) % 0.53/0.85 [578]~P23(f5(x5783,x5784))+P23(f5(f5(f5(f28(f49(x5781,a1)),x5782),x5783),x5784)) % 0.53/0.85 [579]~P23(f5(x5792,x5794))+P23(f5(f5(f5(f28(f49(x5791,a1)),x5792),x5793),x5794)) % 0.53/0.85 [590]~P23(f42(x5903,x5902,x5901))+E(f5(f5(f29(f49(x5901,a1)),x5902),f5(f5(f39(x5901),x5903),x5904)),f5(f5(f39(x5901),x5903),f5(f5(f29(f49(x5901,a1)),x5902),x5904))) % 0.53/0.85 [613]~P23(f42(x6131,x6134,x6132))+P23(f42(x6131,f5(f5(f28(f49(x6132,a1)),x6133),x6134),x6132)) % 0.53/0.85 [614]~P23(f42(x6141,x6143,x6142))+P23(f42(x6141,f5(f5(f28(f49(x6142,a1)),x6143),x6144),x6142)) % 0.53/0.85 [615]~P23(f42(x6152,x6154,x6151))+E(f5(f5(f29(f49(x6151,a1)),f5(f5(f39(x6151),x6152),x6153)),x6154),f5(f5(f39(x6151),x6152),f5(f5(f29(f49(x6151,a1)),x6153),x6154))) % 0.53/0.85 [620]P23(f5(x6201,x6202))+~P23(f5(f5(f5(f29(f49(x6203,a1)),x6204),x6201),x6202)) % 0.53/0.85 [621]P23(f5(x6211,x6212))+~P23(f5(f5(f5(f29(f49(x6213,a1)),x6211),x6214),x6212)) % 0.53/0.85 [630]P23(f5(x6301,x6302))+~P23(f42(x6302,f5(f5(f29(f49(x6303,a1)),x6304),x6301),x6303)) % 0.53/0.85 [633]P23(f42(x6331,x6332,x6333))+~P23(f42(x6331,f5(f5(f29(f49(x6333,a1)),x6334),x6332),x6333)) % 0.53/0.85 [635]P23(f42(x6351,x6352,x6353))+~P23(f42(x6351,f5(f5(f29(f49(x6353,a1)),x6352),x6354),x6353)) % 0.53/0.85 [647]E(x6471,x6472)+~P23(f5(f18(x6473,f5(f5(f39(x6474),x6471),f26(f49(x6474,a1))),x6474),x6472)) % 0.53/0.85 [637]~P6(x6374,x6372,f49(x6371,a1))+E(f5(f5(f28(f49(x6371,a1)),f5(f5(f29(f49(x6371,a1)),x6372),x6373)),x6374),f5(f5(f29(f49(x6371,a1)),x6372),f5(f5(f28(f49(x6371,a1)),x6373),x6374))) % 0.53/0.85 [648]P6(x6481,x6482,f49(x6483,a1))+~E(f5(f5(f28(f49(x6483,a1)),f5(f5(f29(f49(x6483,a1)),x6482),x6484)),x6481),f5(f5(f29(f49(x6483,a1)),x6482),f5(f5(f28(f49(x6483,a1)),x6484),x6481))) % 0.53/0.85 [649]~E(f23(x6491,x6492,x6493,x6494,x6495),x6491)+E(f5(x6491,x6492),x6493) % 0.53/0.85 [569]P23(f42(x5695,x5692,x5693))+E(f5(f34(x5691,x5692,x5693,x5694),x5695),f35(x5694)) % 0.53/0.85 [583]~P23(f42(x5835,x5832,x5833))+E(f5(f34(x5831,x5832,x5833,x5834),x5835),f5(x5831,x5835)) % 0.53/0.85 [601]~P9(x6011,x6012,x6014,x6015)+P9(x6011,f27(x6012,x6013,f49(x6014,a1)),x6014,x6015) % 0.53/0.85 [609]P6(f5(x6091,x6092),f9(x6093,x6091,x6094,f49(x6095,a1)),f49(x6095,a1))+~P23(f42(x6092,x6093,x6094)) % 0.53/0.85 [650]P23(f42(x6505,x6502,x6503))+E(f23(f34(x6501,x6502,x6503,x6504),x6505,f35(x6504),x6503,f47(x6504)),f34(x6501,x6502,x6503,x6504)) % 0.53/0.85 [464]~P7(x4641,x4644,x4645)+E(f5(f5(x4641,x4642),f5(f5(x4641,x4642),x4643)),f5(f5(x4641,x4642),x4643)) % 0.53/0.85 [603]P9(x6031,x6032,x6033,x6034)+~P9(x6031,f5(f5(f39(x6033),x6035),x6032),x6033,x6034) % 0.53/0.85 [632]~P23(f42(x6323,x6324,x6325))+E(f5(f5(f28(f49(x6321,a1)),f5(x6322,x6323)),f9(x6324,x6322,x6325,f49(x6321,a1))),f9(x6324,x6322,x6325,f49(x6321,a1))) % 0.53/0.85 [653]~P23(f42(x6535,x6532,x6533))+E(f23(f34(x6531,x6532,x6533,x6534),x6535,f35(x6534),x6533,f47(x6534)),f34(x6531,f27(x6532,f5(f5(f39(x6533),x6535),f26(f49(x6533,a1))),f49(x6533,a1)),x6533,x6534)) % 0.53/0.85 [627]P9(x6271,x6272,x6273,x6274)+~P9(x6271,f5(f5(f28(f49(x6273,a1)),x6275),x6272),x6273,x6274) % 0.53/0.85 [628]P9(x6281,x6282,x6283,x6284)+~P9(x6281,f5(f5(f28(f49(x6283,a1)),x6282),x6285),x6283,x6284) % 0.53/0.85 [660]~P23(f5(x6601,f32(x6602,f30(x6603,x6604,x6605,a45),a45,a2)))+P23(f5(x6601,f5(f5(f5(x6602,x6603),x6604),x6605))) % 0.53/0.85 [669]P8(x6691,f5(f5(f39(f43(x6692)),f30(x6693,f11(x6694),x6695,x6692)),f26(f49(f43(x6692),a1))),x6692)+~P8(x6691,f5(f5(f39(f43(x6692)),f30(x6693,f38(f12(x6694),a46),x6695,x6692)),f26(f49(f43(x6692),a1))),x6692) % 0.53/0.85 [674]P8(x6741,f5(f5(f39(f43(x6742)),f30(x6743,f11(x6744),x6745,x6742)),f26(f49(f43(x6742),a1))),x6742)+~P8(f5(f5(f39(f43(x6742)),f30(x6743,f11(x6744),x6745,x6742)),x6741),f5(f5(f39(f43(x6742)),f30(x6743,f38(f12(x6744),a46),x6745,x6742)),f26(f49(f43(x6742),a1))),x6742) % 0.53/0.85 [680]~P10(x6801,f5(f5(f39(f43(x6802)),f30(f31(x6803,x6804,x6802),x6805,x6803,x6802)),f26(f49(f43(x6802),a1))),x6802)+P10(x6801,f5(f5(f39(f43(x6802)),f30(x6803,f15(x6804,x6805),f31(x6803,f19(a37,x6804,a1,a1,a44),x6802),x6802)),f26(f49(f43(x6802),a1))),x6802) % 0.53/0.85 [681]~P8(x6811,f5(f5(f39(f43(x6812)),f30(f31(x6813,x6814,x6812),x6815,x6813,x6812)),f26(f49(f43(x6812),a1))),x6812)+P8(x6811,f5(f5(f39(f43(x6812)),f30(x6813,f15(x6814,x6815),f31(x6813,f19(a37,x6814,a1,a1,a44),x6812),x6812)),f26(f49(f43(x6812),a1))),x6812) % 0.53/0.85 [427]E(x4271,x4272)+~E(f13(x4273,x4274,x4271),f13(x4275,x4276,x4272)) % 0.53/0.85 [428]E(x4281,x4282)+~E(f13(x4283,x4281,x4284),f13(x4285,x4282,x4286)) % 0.53/0.85 [429]E(x4291,x4292)+~E(f13(x4291,x4293,x4294),f13(x4292,x4295,x4296)) % 0.53/0.85 [652]E(x6521,x6522)+E(f5(f23(x6523,x6521,x6524,x6525,x6526),x6522),f5(x6523,x6522)) % 0.53/0.85 [654]P23(f42(x6542,x6546,x6544))+E(f34(f23(x6541,x6542,x6543,x6544,f47(x6545)),x6546,x6544,x6545),f34(x6541,x6546,x6544,x6545)) % 0.53/0.85 [664]~P23(f42(x6644,x6642,x6643))+E(f23(f34(x6641,f27(x6642,f5(f5(f39(x6643),x6644),f26(f49(x6643,a1))),f49(x6643,a1)),x6643,x6645),x6644,x6646,x6643,f47(x6645)),f34(f23(x6641,x6644,x6646,x6643,f47(x6645)),x6642,x6643,x6645)) % 0.53/0.85 [593]E(x5931,x5932)+~E(f30(x5933,x5934,x5931,x5935),f30(x5936,x5937,x5932,x5935)) % 0.53/0.85 [594]E(x5941,x5942)+~E(f30(x5943,x5941,x5944,x5945),f30(x5946,x5942,x5947,x5945)) % 0.53/0.85 [595]E(x5951,x5952)+~E(f30(x5951,x5953,x5954,x5955),f30(x5952,x5956,x5957,x5955)) % 0.53/0.85 [655]~E(f19(x6551,x6552,x6555,x6556,x6557),f19(f6(x6556),x6554,x6556,x6556,x6557))+E(f5(x6551,f5(x6552,x6553)),f5(x6554,x6553)) % 0.53/0.85 [670]E(x6701,x6702)+E(f23(f23(x6703,x6701,x6704,x6705,x6706),x6702,x6707,x6705,x6706),f23(f23(x6703,x6702,x6707,x6705,x6706),x6701,x6704,x6705,x6706)) % 0.53/0.85 [694]~P5(x6942,x6941,x6943,x6945,x6947,x6946,x6949,x6948,x6944)+P5(x6941,x6942,f4(x6943,x6944,x6944,a1),f4(x6945,x6944,x6944,a1),x6946,x6947,x6948,x6949,x6944) % 0.53/0.85 [656]~E(f19(x6561,x6562,x6566,x6567,x6568),f19(x6564,x6565,x6569,x6567,x6568))+E(f5(x6561,f5(x6562,x6563)),f5(x6564,f5(x6565,x6563))) % 0.53/0.85 [684]~P5(x6844,x6841,x6845,x6846,x6847,x6848,x6843,x6849,x6842)+E(f5(x6841,f26(f49(x6842,a1))),x6843) % 0.53/0.85 [685]~P5(x6851,x6854,x6855,x6856,x6857,x6858,x6859,x6853,x6852)+E(f5(x6851,f26(f49(x6852,a1))),x6853) % 0.53/0.85 [688]~P5(x6884,x6881,x6885,x6886,x6887,x6888,x6889,x68810,x6882)+E(f5(x6881,f5(f5(f39(x6882),x6883),f26(f49(x6882,a1)))),x6883) % 0.53/0.85 [689]~P5(x6891,x6894,x6895,x6896,x6897,x6898,x6899,x68910,x6892)+E(f5(x6891,f5(f5(f39(x6892),x6893),f26(f49(x6892,a1)))),x6893) % 0.53/0.85 [658]~E(f5(x6581,f5(x6582,x6586)),f5(x6587,f5(x6588,x65811)))+E(f5(f19(x6581,x6582,x6583,x6584,x6585),x6586),f5(f19(x6587,x6588,x6589,x6584,x65810),x65811)) % 0.53/0.85 [686]~P5(x6866,x6861,x6867,x6868,x6869,x6865,x68610,x68611,x6862)+E(f5(x6861,f5(f5(f39(x6862),x6863),x6864)),f5(f5(x6865,x6863),f5(x6861,x6864))) % 0.53/0.85 [687]~P5(x6871,x6876,x6877,x6878,x6875,x6879,x68710,x68711,x6872)+E(f5(x6871,f5(f5(f39(x6872),x6873),x6874)),f5(f5(x6875,x6873),f5(x6871,x6874))) % 0.53/0.85 [692]~P5(x6926,x6921,x6927,x6928,x6929,x6925,x69210,x69211,x6922)+E(f5(x6921,f5(f5(f39(x6922),x6923),f5(f5(f39(x6922),x6924),f26(f49(x6922,a1))))),f5(f5(x6925,x6923),x6924)) % 0.53/0.85 [693]~P5(x6931,x6936,x6937,x6938,x6935,x6939,x69310,x69311,x6932)+E(f5(x6931,f5(f5(f39(x6932),x6933),f5(f5(f39(x6932),x6934),f26(f49(x6932,a1))))),f5(f5(x6935,x6933),x6934)) % 0.53/0.85 [374]~P13(x3742)+~P13(x3741)+P13(f49(x3741,x3742)) % 0.53/0.85 [400]P6(x4002,x4001,x4003)+~P21(x4003)+P6(x4001,x4002,x4003) % 0.53/0.85 [414]P4(x4141,x4142)+~P4(x4143,x4142)+~P6(x4141,x4143,f49(x4142,a1)) % 0.53/0.85 [466]E(x4661,x4662)+~P6(x4661,x4662,f49(x4663,a1))+~P6(x4662,x4661,f49(x4663,a1)) % 0.53/0.85 [471]~P3(x4713)+P6(x4711,f16(x4712,x4713),x4713)+~P23(f42(x4711,x4712,x4713)) % 0.53/0.85 [472]~P3(x4722)+P6(f17(x4721,x4722),x4723,x4722)+~P23(f42(x4723,x4721,x4722)) % 0.53/0.85 [403]P6(x4031,x4032,x4033)+~P17(x4033)+E(f41(x4031,x4032,x4033),f26(f49(x4033,a1))) % 0.53/0.85 [404]P6(x4042,x4043,x4041)+~P17(x4041)+E(f26(f49(x4041,a1)),f41(x4042,x4043,x4041)) % 0.53/0.85 [451]~P17(x4513)+~P6(x4511,x4512,x4513)+~E(f41(x4511,x4512,x4513),f26(f49(x4513,a1))) % 0.53/0.85 [452]~P17(x4521)+~P6(x4522,x4523,x4521)+~E(f26(f49(x4521,a1)),f41(x4522,x4523,x4521)) % 0.53/0.85 [487]P4(x4871,x4872)+~P4(x4873,x4872)+~P4(f27(x4871,x4873,f49(x4872,a1)),x4872) % 0.53/0.85 [394]~P15(x3942)+E(x3941,f26(x3942))+~E(f5(f5(f28(x3942),x3943),x3941),f26(x3942)) % 0.53/0.85 [395]~P15(x3952)+E(x3951,f26(x3952))+~E(f5(f5(f28(x3952),x3951),x3953),f26(x3952)) % 0.53/0.85 [405]~P1(x4053)+P6(x4051,x4052,x4053)+~E(f5(f5(f28(x4053),x4051),x4052),x4052) % 0.53/0.85 [406]~P16(x4063)+P6(x4061,x4062,x4063)+~E(f5(f5(f29(x4063),x4061),x4062),x4061) % 0.53/0.85 [407]~P1(x4071)+~P6(x4072,x4073,x4071)+E(f5(f5(f28(x4071),x4072),x4073),x4073) % 0.53/0.85 [408]~P1(x4081)+~P6(x4083,x4082,x4081)+E(f5(f5(f28(x4081),x4082),x4083),x4082) % 0.53/0.85 [409]~P16(x4091)+~P6(x4093,x4092,x4091)+E(f5(f5(f29(x4091),x4092),x4093),x4093) % 0.53/0.85 [410]~P16(x4101)+~P6(x4102,x4103,x4101)+E(f5(f5(f29(x4101),x4102),x4103),x4102) % 0.53/0.85 [557]~P6(x5571,f5(f5(f39(x5572),x5573),f26(f49(x5572,a1))),f49(x5572,a1))+E(x5571,f26(f49(x5572,a1)))+E(x5571,f5(f5(f39(x5572),x5573),f26(f49(x5572,a1)))) % 0.53/0.85 [515]~P4(x5153,x5151)+~P4(x5152,x5151)+P4(f5(f5(f28(f49(x5151,a1)),x5152),x5153),x5151) % 0.53/0.85 [453]~P8(x4531,x4534,x4533)+P8(x4531,x4532,x4533)+~P8(x4534,x4532,x4533) % 0.53/0.85 [430]~P19(x4304)+E(x4301,x4302)+~E(f27(x4303,x4303,x4304),f27(x4301,x4302,x4304)) % 0.53/0.85 [431]~P19(x4313)+E(x4311,x4312)+~E(f27(x4311,x4312,x4313),f27(x4314,x4314,x4313)) % 0.53/0.85 [439]~P6(x4393,x4391,f49(x4394,a1))+P23(f5(x4391,x4392))+~P23(f5(x4393,x4392)) % 0.53/0.85 [504]~P6(x5041,x5044,f49(x5043,a1))+~P6(x5044,x5042,f49(x5043,a1))+P6(x5041,x5042,f49(x5043,a1)) % 0.53/0.85 [530]~P6(x5304,x5302,f49(x5303,a1))+P23(f42(x5301,x5302,x5303))+~P23(f42(x5301,x5304,x5303)) % 0.53/0.85 [478]P8(x4781,x4782,x4783)+~P8(x4784,x4782,x4783)+~P6(x4784,x4781,f49(f43(x4783),a1)) % 0.53/0.85 [479]P8(x4791,x4792,x4793)+~P8(x4791,x4794,x4793)+~P6(x4792,x4794,f49(f43(x4793),a1)) % 0.53/0.85 [523]~P3(x5234)+E(f9(x5231,f8(x5233,x5234,x5232),x5232,x5234),x5233)+E(x5231,f26(f49(x5232,a1))) % 0.53/0.85 [545]~P6(x5451,x5452,f49(x5454,a1))+~P6(x5453,x5451,f49(x5454,a1))+E(f27(x5451,f27(x5452,x5453,f49(x5454,a1)),f49(x5454,a1)),x5453) % 0.53/0.85 [467]~P1(x4672)+~P6(x4671,x4674,x4672)+P6(x4671,f5(f5(f28(x4672),x4673),x4674),x4672) % 0.53/0.85 [468]~P1(x4682)+~P6(x4681,x4683,x4682)+P6(x4681,f5(f5(f28(x4682),x4683),x4684),x4682) % 0.53/0.85 [469]~P16(x4691)+~P6(x4693,x4694,x4691)+P6(f5(f5(f29(x4691),x4692),x4693),x4694,x4691) % 0.53/0.85 [470]~P16(x4701)+~P6(x4702,x4704,x4701)+P6(f5(f5(f29(x4701),x4702),x4703),x4704,x4701) % 0.53/0.85 [491]~P16(x4913)+P6(x4911,x4912,x4913)+~P6(x4911,f5(f5(f29(x4913),x4914),x4912),x4913) % 0.53/0.85 [493]~P16(x4933)+P6(x4931,x4932,x4933)+~P6(x4931,f5(f5(f29(x4933),x4932),x4934),x4933) % 0.53/0.85 [495]~P1(x4953)+P6(x4951,x4952,x4953)+~P6(f5(f5(f28(x4953),x4954),x4951),x4952,x4953) % 0.53/0.85 [497]~P1(x4973)+P6(x4971,x4972,x4973)+~P6(f5(f5(f28(x4973),x4971),x4974),x4972,x4973) % 0.53/0.85 [544]P6(x5442,x5444,f49(x5443,a1))+P23(f42(x5441,x5442,x5443))+~P6(x5442,f5(f5(f39(x5443),x5441),x5444),f49(x5443,a1)) % 0.53/0.85 [546]~P6(x5463,x5464,f49(x5461,a1))+~P23(f42(x5462,x5464,x5461))+P6(f5(f5(f39(x5461),x5462),x5463),x5464,f49(x5461,a1)) % 0.53/0.85 [586]~P23(f42(x5861,x5864,x5863))+P23(f42(x5861,x5862,x5863))+P23(f42(x5861,f27(x5864,x5862,f49(x5863,a1)),x5863)) % 0.53/0.85 [629]P6(f27(x6291,f5(f5(f39(x6292),x6293),f26(f49(x6292,a1))),f49(x6292,a1)),x6294,f49(x6292,a1))+~P23(f42(x6293,x6291,x6292))+~P6(x6291,f5(f5(f39(x6292),x6293),x6294),f49(x6292,a1)) % 0.53/0.85 [642]~P6(f27(x6421,f5(f5(f39(x6422),x6423),f26(f49(x6422,a1))),f49(x6422,a1)),x6424,f49(x6422,a1))+~P23(f42(x6423,x6421,x6422))+P6(x6421,f5(f5(f39(x6422),x6423),x6424),f49(x6422,a1)) % 0.53/0.85 [525]E(x5251,x5252)+P23(f5(x5253,x5251))+~P23(f5(f5(f5(f39(x5254),x5252),x5253),x5251)) % 0.53/0.85 [564]~P6(x5641,x5643,f49(x5642,a1))+~P6(x5641,x5644,f49(x5642,a1))+P6(x5641,f5(f5(f29(f49(x5642,a1)),x5643),x5644),f49(x5642,a1)) % 0.53/0.85 [566]~P6(x5662,x5664,f49(x5661,a1))+~P6(x5663,x5664,f49(x5661,a1))+P6(f5(f5(f28(f49(x5661,a1)),x5662),x5663),x5664,f49(x5661,a1)) % 0.53/0.85 [567]E(x5671,x5672)+P23(f42(x5671,x5673,x5674))+~P23(f42(x5671,f5(f5(f39(x5674),x5672),x5673),x5674)) % 0.53/0.85 [568]~P23(f42(x5684,x5683,x5681))+~P23(f42(x5684,x5682,x5681))+~E(f5(f5(f29(f49(x5681,a1)),x5682),x5683),f26(f49(x5681,a1))) % 0.53/0.85 [612]~P8(x6121,x6124,x6122)+P8(x6121,f5(f5(f39(f43(x6122)),x6123),x6124),x6122)+~P8(x6121,f5(f5(f39(f43(x6122)),x6123),f26(f49(f43(x6122),a1))),x6122) % 0.53/0.85 [584]~P23(f5(x5843,x5844))+~P23(f5(x5842,x5844))+P23(f5(f5(f5(f29(f49(x5841,a1)),x5842),x5843),x5844)) % 0.53/0.85 [618]~P23(f5(x6184,x6181))+~P23(f42(x6181,x6183,x6182))+P23(f42(x6181,f5(f5(f29(f49(x6182,a1)),x6183),x6184),x6182)) % 0.53/0.85 [622]P23(f5(x6221,x6222))+P23(f5(x6223,x6222))+~P23(f5(f5(f5(f28(f49(x6224,a1)),x6221),x6223),x6222)) % 0.53/0.85 [624]~P23(f42(x6241,x6244,x6242))+~P23(f42(x6241,x6243,x6242))+P23(f42(x6241,f5(f5(f29(f49(x6242,a1)),x6243),x6244),x6242)) % 0.53/0.85 [638]P23(f42(x6381,x6382,x6383))+P23(f42(x6381,x6384,x6383))+~P23(f42(x6381,f5(f5(f28(f49(x6383,a1)),x6382),x6384),x6383)) % 0.53/0.85 [463]~P14(x4634)+P6(f5(x4631,x4632),f5(x4633,x4632),x4634)+~P6(x4631,x4633,f49(x4635,x4634)) % 0.53/0.85 [517]~P17(x5173)+P6(x5171,x5172,x5173)+P6(f41(x5171,x5172,x5173),f41(x5174,x5175,x5173),f49(x5173,a1)) % 0.53/0.85 [589]~P3(x5895)+P6(f5(x5891,x5892),f9(x5893,x5891,x5894,x5895),x5895)+~P23(f42(x5892,x5893,x5894)) % 0.53/0.85 [591]P9(x5911,x5912,x5913,x5914)+~P9(x5911,x5915,x5913,x5914)+~P6(x5912,x5915,f49(x5913,a1)) % 0.53/0.85 [572]~P6(x5721,x5724,f49(x5723,a1))+~P6(x5725,x5722,f49(x5723,a1))+P6(f27(x5721,x5722,f49(x5723,a1)),f27(x5724,x5725,f49(x5723,a1)),f49(x5723,a1)) % 0.53/0.85 [582]~P23(f42(x5822,x5824,x5825))+E(f5(x5821,x5822),f26(f49(x5823,a1)))+~E(f9(x5824,x5821,x5825,f49(x5823,a1)),f26(f49(x5823,a1))) % 0.53/0.85 [605]E(x6051,x6052)+E(x6051,x6053)+~E(f5(f5(f39(x6054),x6055),f5(f5(f39(x6054),x6051),f26(f49(x6054,a1)))),f5(f5(f39(x6054),x6053),f5(f5(f39(x6054),x6052),f26(f49(x6054,a1))))) % 0.53/0.85 [606]E(x6061,x6062)+E(x6063,x6062)+~E(f5(f5(f39(x6064),x6063),f5(f5(f39(x6064),x6061),f26(f49(x6064,a1)))),f5(f5(f39(x6064),x6065),f5(f5(f39(x6064),x6062),f26(f49(x6064,a1))))) % 0.53/0.85 [607]E(x6071,x6072)+E(x6073,x6072)+~E(f5(f5(f39(x6074),x6073),f5(f5(f39(x6074),x6071),f26(f49(x6074,a1)))),f5(f5(f39(x6074),x6072),f5(f5(f39(x6074),x6075),f26(f49(x6074,a1))))) % 0.53/0.85 [608]E(x6081,x6082)+E(x6081,x6083)+~E(f5(f5(f39(x6084),x6081),f5(f5(f39(x6084),x6085),f26(f49(x6084,a1)))),f5(f5(f39(x6084),x6083),f5(f5(f39(x6084),x6082),f26(f49(x6084,a1))))) % 0.53/0.85 [616]~P6(x6162,x6164,f49(x6161,a1))+~P6(x6163,x6165,f49(x6161,a1))+P6(f5(f5(f28(f49(x6161,a1)),x6162),x6163),f5(f5(f28(f49(x6161,a1)),x6164),x6165),f49(x6161,a1)) % 0.53/0.85 [617]~P6(x6172,x6174,f49(x6171,a1))+~P6(x6173,x6175,f49(x6171,a1))+P6(f5(f5(f29(f49(x6171,a1)),x6172),x6173),f5(f5(f29(f49(x6171,a1)),x6174),x6175),f49(x6171,a1)) % 0.53/0.85 [665]~P8(x6653,f5(f5(f39(f43(a2)),f30(x6654,x6655,x6651,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6653,f5(f5(f39(f43(a2)),f30(x6654,x6655,x6652,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6651,f54(x6652,x6651)),f60(x6652,x6651))) % 0.53/0.85 [666]~P8(x6663,f5(f5(f39(f43(a2)),f30(x6662,x6664,x6665,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6663,f5(f5(f39(f43(a2)),f30(x6661,x6664,x6665,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6661,f55(x6661,x6662)),f59(x6661,x6662))) % 0.53/0.85 [667]~P8(x6671,f5(f5(f39(f43(a2)),f30(x6675,x6673,x6674,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6671,f5(f5(f39(f43(a2)),f30(x6672,x6673,x6674,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6675,f55(x6672,x6675)),f59(x6672,x6675))) % 0.53/0.85 [668]~P8(x6681,f5(f5(f39(f43(a2)),f30(x6682,x6683,x6685,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6681,f5(f5(f39(f43(a2)),f30(x6682,x6683,x6684,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6684,f54(x6684,x6685)),f60(x6684,x6685))) % 0.53/0.85 [636]P6(f5(x6361,x6362),x6363,f49(x6364,a1))+~P6(f9(x6365,x6361,x6366,f49(x6364,a1)),x6363,f49(x6364,a1))+~P23(f42(x6362,x6365,x6366)) % 0.53/0.85 [644]~P23(f42(x6446,x6441,x6443))+~P23(f5(f5(x6442,x6446),x6445))+P23(f5(f9(x6441,x6442,x6443,f49(x6444,a1)),x6445)) % 0.53/0.85 [646]~P23(f42(x6466,x6462,x6464))+~P23(f42(x6461,f5(x6463,x6466),x6465))+P23(f42(x6461,f9(x6462,x6463,x6464,f49(x6465,a1)),x6465)) % 0.53/0.85 [672]~P8(x6725,f5(f5(f39(f43(a2)),f30(x6722,x6726,x6724,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6725,f5(f5(f39(f43(a2)),f30(x6721,x6726,x6723,a2)),f26(f49(f43(a2),a1))),a2)+P23(f5(f5(x6721,f58(x6721,x6722,x6723,x6724)),f57(x6721,x6722,x6723,x6724))) % 0.53/0.85 [675]~P8(x6751,f5(f5(f39(f43(a2)),f30(x6755,x6753,x6756,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6751,f5(f5(f39(f43(a2)),f30(x6752,x6753,x6754,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6754,f58(x6752,x6755,x6754,x6756)),f56(x6752,x6755,x6754,x6756))) % 0.53/0.85 [678]~P8(x6781,f5(f5(f39(f43(a2)),f30(x6785,x6783,x6786,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6781,f5(f5(f39(f43(a2)),f30(x6782,x6783,x6784,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6784,f62(x6781,x6782,x6784,x6783)),f67(x6781,x6782,x6784,x6783,x6785,x6786))) % 0.53/0.85 [679]~P8(x6791,f5(f5(f39(f43(a2)),f30(x6795,x6793,x6796,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6791,f5(f5(f39(f43(a2)),f30(x6792,x6793,x6794,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6794,f63(x6791,x6792,x6794,x6793)),f65(x6791,x6792,x6794,x6793,x6795,x6796))) % 0.53/0.85 [673]~P8(x6731,f5(f5(f39(f43(x6732)),f30(x6733,x6734,x6737,x6732)),f26(f49(f43(x6732),a1))),x6732)+P8(x6731,f5(f5(f39(f43(x6732)),f30(x6733,f14(x6734,x6735),x6736,x6732)),f26(f49(f43(x6732),a1))),x6732)+~P8(x6731,f5(f5(f39(f43(x6732)),f30(x6737,x6735,x6736,x6732)),f26(f49(f43(x6732),a1))),x6732) % 0.53/0.85 [682]~P8(x6821,f5(f5(f39(f43(x6822)),f30(f31(x6823,x6824,x6822),x6825,x6827,x6822)),f26(f49(f43(x6822),a1))),x6822)+P8(x6821,f5(f5(f39(f43(x6822)),f30(x6823,f13(x6824,x6825,x6826),x6827,x6822)),f26(f49(f43(x6822),a1))),x6822)+~P8(x6821,f5(f5(f39(f43(x6822)),f30(f31(x6823,f19(a37,x6824,a1,a1,a44),x6822),x6826,x6827,x6822)),f26(f49(f43(x6822),a1))),x6822) % 0.53/0.85 [690]~P5(x6906,x6903,x6901,x6907,x6908,x6909,x69010,x69011,x6905)+~P23(f42(x6902,x6904,x6905))+P23(f5(f5(x6901,x6902),f5(x6903,x6904))) % 0.53/0.85 [691]~P5(x6912,x6916,x6911,x6917,x6918,x6919,x69110,x69111,x6915)+~P23(f42(x6914,x6913,x6915))+P23(f5(f5(x6911,f5(x6912,x6913)),x6914)) % 0.53/0.85 [449]~P21(x4492)+~P4(x4491,x4492)+E(x4491,f26(f49(x4492,a1)))+P23(f42(f20(x4491,x4492),x4491,x4492)) % 0.53/0.85 [450]~P21(x4502)+~P4(x4501,x4502)+E(x4501,f26(f49(x4502,a1)))+P23(f42(f21(x4501,x4502),x4501,x4502)) % 0.53/0.85 [434]~P6(x4342,x4341,x4343)+~P6(x4341,x4342,x4343)+E(x4341,x4342)+~P17(x4343) % 0.53/0.85 [481]~P21(x4813)+~P4(x4812,x4813)+P6(x4811,f20(x4812,x4813),x4813)+~P23(f42(x4811,x4812,x4813)) % 0.53/0.85 [482]~P21(x4822)+~P4(x4821,x4822)+P6(f21(x4821,x4822),x4823,x4822)+~P23(f42(x4823,x4821,x4822)) % 0.66/0.85 [556]~P16(x5561)+~P4(x5562,x5561)+~P23(f42(x5563,x5562,x5561))+P6(f25(f18(f29(x5561),x5562,x5561),x5561),x5563,x5561) % 0.66/0.85 [460]~P17(x4603)+~P6(x4601,x4604,x4603)+P6(x4601,x4602,x4603)+~P6(x4604,x4602,x4603) % 0.66/0.85 [461]~P22(x4613)+~P6(x4611,x4614,x4613)+P6(x4611,x4612,x4613)+~P6(x4614,x4612,x4613) % 0.66/0.85 [510]~P16(x5102)+~P6(x5101,x5104,x5102)+~P6(x5101,x5103,x5102)+P6(x5101,f5(f5(f29(x5102),x5103),x5104),x5102) % 0.66/0.85 [513]~P1(x5131)+~P6(x5133,x5134,x5131)+~P6(x5132,x5134,x5131)+P6(f5(f5(f28(x5131),x5132),x5133),x5134,x5131) % 0.66/0.85 [522]E(x5221,x5222)+P23(f42(x5223,x5221,x5224))+P23(f42(x5223,x5222,x5224))+~E(f5(f5(f39(x5224),x5223),x5221),f5(f5(f39(x5224),x5223),x5222)) % 0.66/0.85 [502]~P20(x5023)+~P6(x5025,x5024,x5023)+P6(x5021,x5022,x5023)+~E(f27(x5024,x5025,x5023),f27(x5022,x5021,x5023)) % 0.66/0.85 [503]~P20(x5033)+~P6(x5035,x5034,x5033)+P6(x5031,x5032,x5033)+~E(f27(x5032,x5031,x5033),f27(x5034,x5035,x5033)) % 0.66/0.85 [542]~P17(x5423)+~P6(x5424,x5421,x5423)+~P6(x5422,x5425,x5423)+P6(f41(x5421,x5422,x5423),f41(x5424,x5425,x5423),f49(x5423,a1)) % 0.66/0.85 [561]~P17(x5613)+P6(x5611,x5612,x5613)+~P6(x5614,x5611,x5613)+~P6(f41(x5614,x5611,x5613),f41(x5615,x5612,x5613),f49(x5613,a1)) % 0.66/0.85 [562]~P17(x5623)+P6(x5621,x5622,x5623)+~P6(x5622,x5624,x5623)+~P6(f41(x5622,x5624,x5623),f41(x5621,x5625,x5623),f49(x5623,a1)) % 0.66/0.85 [631]~P4(x6314,x6315)+P4(f5(x6311,x6312),x6313)+~P23(f42(x6312,x6314,x6315))+~P4(f9(x6314,x6311,x6315,f49(x6313,a1)),x6313) % 0.66/0.85 [671]~P8(x6716,f5(f5(f39(f43(a2)),f30(x6714,x6717,x6711,a2)),f26(f49(f43(a2),a1))),a2)+P8(x6716,f5(f5(f39(f43(a2)),f30(x6713,x6717,x6715,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6714,x6712),f57(x6713,x6714,x6715,x6711)))+P23(f5(f5(x6711,x6712),f56(x6713,x6714,x6715,x6711))) % 0.66/0.85 [676]P8(x6763,f5(f5(f39(f43(a2)),f30(x6764,x6766,x6765,a2)),f26(f49(f43(a2),a1))),a2)+~P8(x6763,f5(f5(f39(f43(a2)),f30(x6767,x6766,x6761,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6767,x6762),f64(x6763,x6764,x6765,x6766)))+P23(f5(f5(x6761,x6762),f65(x6763,x6764,x6765,x6766,x6767,x6761))) % 0.66/0.85 [677]P8(x6773,f5(f5(f39(f43(a2)),f30(x6774,x6776,x6775,a2)),f26(f49(f43(a2),a1))),a2)+~P8(x6773,f5(f5(f39(f43(a2)),f30(x6777,x6776,x6771,a2)),f26(f49(f43(a2),a1))),a2)+~P23(f5(f5(x6777,x6772),f66(x6773,x6774,x6775,x6776)))+P23(f5(f5(x6771,x6772),f67(x6773,x6774,x6775,x6776,x6777,x6771))) % 0.66/0.85 [483]~P21(x4832)+~P4(x4833,x4832)+P6(f21(x4833,x4832),f21(x4831,x4832),x4832)+~P6(x4831,x4833,f49(x4832,a1))+E(x4831,f26(f49(x4832,a1))) % 0.66/0.85 [484]~P21(x4842)+~P4(x4843,x4842)+P6(f20(x4841,x4842),f20(x4843,x4842),x4842)+~P6(x4841,x4843,f49(x4842,a1))+E(x4841,f26(f49(x4842,a1))) % 0.66/0.85 [599]E(x5991,x5992)+~P9(x5993,x5994,x5995,x5996)+~E(f5(x5993,x5991),f5(x5993,x5992))+~P23(f42(x5992,x5994,x5995))+~P23(f42(x5991,x5994,x5995)) % 0.66/0.85 [600]~P16(x6002)+~P4(x6001,x6002)+P6(x6003,x6004,x6002)+~P23(f42(x6004,x6001,x6002))+~P6(x6003,f25(f18(f29(x6002),x6001,x6002),x6002),x6002)+E(x6001,f26(f49(x6002,a1))) % 0.66/0.85 %EqnAxiom % 0.66/0.85 [1]E(x11,x11) % 0.66/0.85 [2]E(x22,x21)+~E(x21,x22) % 0.66/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.66/0.85 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.66/0.85 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53)) % 0.66/0.85 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62)) % 0.66/0.85 [7]~E(x71,x72)+E(f6(x71),f6(x72)) % 0.66/0.85 [8]~E(x81,x82)+E(f26(x81),f26(x82)) % 0.66/0.85 [9]~E(x91,x92)+E(f4(x91,x93,x94,x95),f4(x92,x93,x94,x95)) % 0.66/0.85 [10]~E(x101,x102)+E(f4(x103,x101,x104,x105),f4(x103,x102,x104,x105)) % 0.66/0.85 [11]~E(x111,x112)+E(f4(x113,x114,x111,x115),f4(x113,x114,x112,x115)) % 0.66/0.85 [12]~E(x121,x122)+E(f4(x123,x124,x125,x121),f4(x123,x124,x125,x122)) % 0.66/0.85 [13]~E(x131,x132)+E(f49(x131,x133),f49(x132,x133)) % 0.66/0.85 [14]~E(x141,x142)+E(f49(x143,x141),f49(x143,x142)) % 0.66/0.85 [15]~E(x151,x152)+E(f42(x151,x153,x154),f42(x152,x153,x154)) % 0.66/0.85 [16]~E(x161,x162)+E(f42(x163,x161,x164),f42(x163,x162,x164)) % 0.66/0.85 [17]~E(x171,x172)+E(f42(x173,x174,x171),f42(x173,x174,x172)) % 0.66/0.85 [18]~E(x181,x182)+E(f39(x181),f39(x182)) % 0.66/0.85 [19]~E(x191,x192)+E(f24(x191),f24(x192)) % 0.66/0.85 [20]~E(x201,x202)+E(f28(x201),f28(x202)) % 0.66/0.85 [21]~E(x211,x212)+E(f25(x211,x213),f25(x212,x213)) % 0.66/0.85 [22]~E(x221,x222)+E(f25(x223,x221),f25(x223,x222)) % 0.66/0.85 [23]~E(x231,x232)+E(f34(x231,x233,x234,x235),f34(x232,x233,x234,x235)) % 0.66/0.85 [24]~E(x241,x242)+E(f34(x243,x241,x244,x245),f34(x243,x242,x244,x245)) % 0.66/0.85 [25]~E(x251,x252)+E(f34(x253,x254,x251,x255),f34(x253,x254,x252,x255)) % 0.66/0.85 [26]~E(x261,x262)+E(f34(x263,x264,x265,x261),f34(x263,x264,x265,x262)) % 0.66/0.85 [27]~E(x271,x272)+E(f29(x271),f29(x272)) % 0.66/0.85 [28]~E(x281,x282)+E(f47(x281),f47(x282)) % 0.66/0.85 [29]~E(x291,x292)+E(f41(x291,x293,x294),f41(x292,x293,x294)) % 0.66/0.85 [30]~E(x301,x302)+E(f41(x303,x301,x304),f41(x303,x302,x304)) % 0.66/0.85 [31]~E(x311,x312)+E(f41(x313,x314,x311),f41(x313,x314,x312)) % 0.66/0.85 [32]~E(x321,x322)+E(f23(x321,x323,x324,x325,x326),f23(x322,x323,x324,x325,x326)) % 0.66/0.85 [33]~E(x331,x332)+E(f23(x333,x331,x334,x335,x336),f23(x333,x332,x334,x335,x336)) % 0.66/0.85 [34]~E(x341,x342)+E(f23(x343,x344,x341,x345,x346),f23(x343,x344,x342,x345,x346)) % 0.66/0.85 [35]~E(x351,x352)+E(f23(x353,x354,x355,x351,x356),f23(x353,x354,x355,x352,x356)) % 0.66/0.85 [36]~E(x361,x362)+E(f23(x363,x364,x365,x366,x361),f23(x363,x364,x365,x366,x362)) % 0.66/0.85 [37]~E(x371,x372)+E(f9(x371,x373,x374,x375),f9(x372,x373,x374,x375)) % 0.66/0.85 [38]~E(x381,x382)+E(f9(x383,x381,x384,x385),f9(x383,x382,x384,x385)) % 0.66/0.85 [39]~E(x391,x392)+E(f9(x393,x394,x391,x395),f9(x393,x394,x392,x395)) % 0.66/0.85 [40]~E(x401,x402)+E(f9(x403,x404,x405,x401),f9(x403,x404,x405,x402)) % 0.66/0.85 [41]~E(x411,x412)+E(f8(x411,x413,x414),f8(x412,x413,x414)) % 0.66/0.85 [42]~E(x421,x422)+E(f8(x423,x421,x424),f8(x423,x422,x424)) % 0.66/0.85 [43]~E(x431,x432)+E(f8(x433,x434,x431),f8(x433,x434,x432)) % 0.66/0.85 [44]~E(x441,x442)+E(f19(x441,x443,x444,x445,x446),f19(x442,x443,x444,x445,x446)) % 0.66/0.85 [45]~E(x451,x452)+E(f19(x453,x451,x454,x455,x456),f19(x453,x452,x454,x455,x456)) % 0.66/0.85 [46]~E(x461,x462)+E(f19(x463,x464,x461,x465,x466),f19(x463,x464,x462,x465,x466)) % 0.66/0.85 [47]~E(x471,x472)+E(f19(x473,x474,x475,x471,x476),f19(x473,x474,x475,x472,x476)) % 0.66/0.85 [48]~E(x481,x482)+E(f19(x483,x484,x485,x486,x481),f19(x483,x484,x485,x486,x482)) % 0.66/0.85 [49]~E(x491,x492)+E(f65(x491,x493,x494,x495,x496,x497),f65(x492,x493,x494,x495,x496,x497)) % 0.66/0.85 [50]~E(x501,x502)+E(f65(x503,x501,x504,x505,x506,x507),f65(x503,x502,x504,x505,x506,x507)) % 0.66/0.85 [51]~E(x511,x512)+E(f65(x513,x514,x511,x515,x516,x517),f65(x513,x514,x512,x515,x516,x517)) % 0.66/0.85 [52]~E(x521,x522)+E(f65(x523,x524,x525,x521,x526,x527),f65(x523,x524,x525,x522,x526,x527)) % 0.66/0.85 [53]~E(x531,x532)+E(f65(x533,x534,x535,x536,x531,x537),f65(x533,x534,x535,x536,x532,x537)) % 0.66/0.85 [54]~E(x541,x542)+E(f65(x543,x544,x545,x546,x547,x541),f65(x543,x544,x545,x546,x547,x542)) % 0.66/0.85 [55]~E(x551,x552)+E(f33(x551,x553,x554,x555),f33(x552,x553,x554,x555)) % 0.66/0.85 [56]~E(x561,x562)+E(f33(x563,x561,x564,x565),f33(x563,x562,x564,x565)) % 0.66/0.85 [57]~E(x571,x572)+E(f33(x573,x574,x571,x575),f33(x573,x574,x572,x575)) % 0.66/0.85 [58]~E(x581,x582)+E(f33(x583,x584,x585,x581),f33(x583,x584,x585,x582)) % 0.66/0.85 [59]~E(x591,x592)+E(f27(x591,x593,x594),f27(x592,x593,x594)) % 0.66/0.85 [60]~E(x601,x602)+E(f27(x603,x601,x604),f27(x603,x602,x604)) % 0.66/0.85 [61]~E(x611,x612)+E(f27(x613,x614,x611),f27(x613,x614,x612)) % 0.66/0.85 [62]~E(x621,x622)+E(f43(x621),f43(x622)) % 0.66/0.85 [63]~E(x631,x632)+E(f11(x631),f11(x632)) % 0.66/0.85 [64]~E(x641,x642)+E(f30(x641,x643,x644,x645),f30(x642,x643,x644,x645)) % 0.66/0.85 [65]~E(x651,x652)+E(f30(x653,x651,x654,x655),f30(x653,x652,x654,x655)) % 0.66/0.85 [66]~E(x661,x662)+E(f30(x663,x664,x661,x665),f30(x663,x664,x662,x665)) % 0.66/0.85 [67]~E(x671,x672)+E(f30(x673,x674,x675,x671),f30(x673,x674,x675,x672)) % 0.66/0.85 [68]~E(x681,x682)+E(f14(x681,x683),f14(x682,x683)) % 0.66/0.85 [69]~E(x691,x692)+E(f14(x693,x691),f14(x693,x692)) % 0.66/0.85 [70]~E(x701,x702)+E(f32(x701,x703,x704,x705),f32(x702,x703,x704,x705)) % 0.66/0.85 [71]~E(x711,x712)+E(f32(x713,x711,x714,x715),f32(x713,x712,x714,x715)) % 0.66/0.85 [72]~E(x721,x722)+E(f32(x723,x724,x721,x725),f32(x723,x724,x722,x725)) % 0.66/0.85 [73]~E(x731,x732)+E(f32(x733,x734,x735,x731),f32(x733,x734,x735,x732)) % 0.66/0.85 [74]~E(x741,x742)+E(f31(x741,x743,x744),f31(x742,x743,x744)) % 0.66/0.85 [75]~E(x751,x752)+E(f31(x753,x751,x754),f31(x753,x752,x754)) % 0.66/0.85 [76]~E(x761,x762)+E(f31(x763,x764,x761),f31(x763,x764,x762)) % 0.66/0.85 [77]~E(x771,x772)+E(f18(x771,x773,x774),f18(x772,x773,x774)) % 0.66/0.85 [78]~E(x781,x782)+E(f18(x783,x781,x784),f18(x783,x782,x784)) % 0.66/0.85 [79]~E(x791,x792)+E(f18(x793,x794,x791),f18(x793,x794,x792)) % 0.66/0.85 [80]~E(x801,x802)+E(f21(x801,x803),f21(x802,x803)) % 0.66/0.85 [81]~E(x811,x812)+E(f21(x813,x811),f21(x813,x812)) % 0.66/0.85 [82]~E(x821,x822)+E(f35(x821),f35(x822)) % 0.66/0.85 [83]~E(x831,x832)+E(f63(x831,x833,x834,x835),f63(x832,x833,x834,x835)) % 0.66/0.85 [84]~E(x841,x842)+E(f63(x843,x841,x844,x845),f63(x843,x842,x844,x845)) % 0.66/0.85 [85]~E(x851,x852)+E(f63(x853,x854,x851,x855),f63(x853,x854,x852,x855)) % 0.66/0.85 [86]~E(x861,x862)+E(f63(x863,x864,x865,x861),f63(x863,x864,x865,x862)) % 0.66/0.85 [87]~E(x871,x872)+E(f15(x871,x873),f15(x872,x873)) % 0.66/0.85 [88]~E(x881,x882)+E(f15(x883,x881),f15(x883,x882)) % 0.66/0.85 [89]~E(x891,x892)+E(f13(x891,x893,x894),f13(x892,x893,x894)) % 0.66/0.85 [90]~E(x901,x902)+E(f13(x903,x901,x904),f13(x903,x902,x904)) % 0.66/0.85 [91]~E(x911,x912)+E(f13(x913,x914,x911),f13(x913,x914,x912)) % 0.66/0.85 [92]~E(x921,x922)+E(f64(x921,x923,x924,x925),f64(x922,x923,x924,x925)) % 0.66/0.85 [93]~E(x931,x932)+E(f64(x933,x931,x934,x935),f64(x933,x932,x934,x935)) % 0.66/0.85 [94]~E(x941,x942)+E(f64(x943,x944,x941,x945),f64(x943,x944,x942,x945)) % 0.66/0.85 [95]~E(x951,x952)+E(f64(x953,x954,x955,x951),f64(x953,x954,x955,x952)) % 0.66/0.85 [96]~E(x961,x962)+E(f22(x961,x963,x964,x965,x966),f22(x962,x963,x964,x965,x966)) % 0.66/0.85 [97]~E(x971,x972)+E(f22(x973,x971,x974,x975,x976),f22(x973,x972,x974,x975,x976)) % 0.66/0.85 [98]~E(x981,x982)+E(f22(x983,x984,x981,x985,x986),f22(x983,x984,x982,x985,x986)) % 0.66/0.85 [99]~E(x991,x992)+E(f22(x993,x994,x995,x991,x996),f22(x993,x994,x995,x992,x996)) % 0.66/0.85 [100]~E(x1001,x1002)+E(f22(x1003,x1004,x1005,x1006,x1001),f22(x1003,x1004,x1005,x1006,x1002)) % 0.66/0.85 [101]~E(x1011,x1012)+E(f59(x1011,x1013),f59(x1012,x1013)) % 0.66/0.85 [102]~E(x1021,x1022)+E(f59(x1023,x1021),f59(x1023,x1022)) % 0.66/0.85 [103]~E(x1031,x1032)+E(f67(x1031,x1033,x1034,x1035,x1036,x1037),f67(x1032,x1033,x1034,x1035,x1036,x1037)) % 0.66/0.85 [104]~E(x1041,x1042)+E(f67(x1043,x1041,x1044,x1045,x1046,x1047),f67(x1043,x1042,x1044,x1045,x1046,x1047)) % 0.66/0.85 [105]~E(x1051,x1052)+E(f67(x1053,x1054,x1051,x1055,x1056,x1057),f67(x1053,x1054,x1052,x1055,x1056,x1057)) % 0.66/0.85 [106]~E(x1061,x1062)+E(f67(x1063,x1064,x1065,x1061,x1066,x1067),f67(x1063,x1064,x1065,x1062,x1066,x1067)) % 0.66/0.85 [107]~E(x1071,x1072)+E(f67(x1073,x1074,x1075,x1076,x1071,x1077),f67(x1073,x1074,x1075,x1076,x1072,x1077)) % 0.66/0.85 [108]~E(x1081,x1082)+E(f67(x1083,x1084,x1085,x1086,x1087,x1081),f67(x1083,x1084,x1085,x1086,x1087,x1082)) % 0.66/0.85 [109]~E(x1091,x1092)+E(f12(x1091),f12(x1092)) % 0.66/0.85 [110]~E(x1101,x1102)+E(f58(x1101,x1103,x1104,x1105),f58(x1102,x1103,x1104,x1105)) % 0.66/0.85 [111]~E(x1111,x1112)+E(f58(x1113,x1111,x1114,x1115),f58(x1113,x1112,x1114,x1115)) % 0.66/0.85 [112]~E(x1121,x1122)+E(f58(x1123,x1124,x1121,x1125),f58(x1123,x1124,x1122,x1125)) % 0.66/0.85 [113]~E(x1131,x1132)+E(f58(x1133,x1134,x1135,x1131),f58(x1133,x1134,x1135,x1132)) % 0.66/0.85 [114]~E(x1141,x1142)+E(f55(x1141,x1143),f55(x1142,x1143)) % 0.66/0.85 [115]~E(x1151,x1152)+E(f55(x1153,x1151),f55(x1153,x1152)) % 0.66/0.85 [116]~E(x1161,x1162)+E(f40(x1161,x1163),f40(x1162,x1163)) % 0.66/0.85 [117]~E(x1171,x1172)+E(f40(x1173,x1171),f40(x1173,x1172)) % 0.66/0.85 [118]~E(x1181,x1182)+E(f20(x1181,x1183),f20(x1182,x1183)) % 0.66/0.85 [119]~E(x1191,x1192)+E(f20(x1193,x1191),f20(x1193,x1192)) % 0.66/0.85 [120]~E(x1201,x1202)+E(f56(x1201,x1203,x1204,x1205),f56(x1202,x1203,x1204,x1205)) % 0.66/0.85 [121]~E(x1211,x1212)+E(f56(x1213,x1211,x1214,x1215),f56(x1213,x1212,x1214,x1215)) % 0.66/0.85 [122]~E(x1221,x1222)+E(f56(x1223,x1224,x1221,x1225),f56(x1223,x1224,x1222,x1225)) % 0.66/0.85 [123]~E(x1231,x1232)+E(f56(x1233,x1234,x1235,x1231),f56(x1233,x1234,x1235,x1232)) % 0.66/0.85 [124]~E(x1241,x1242)+E(f54(x1241,x1243),f54(x1242,x1243)) % 0.66/0.85 [125]~E(x1251,x1252)+E(f54(x1253,x1251),f54(x1253,x1252)) % 0.66/0.85 [126]~E(x1261,x1262)+E(f17(x1261,x1263),f17(x1262,x1263)) % 0.66/0.85 [127]~E(x1271,x1272)+E(f17(x1273,x1271),f17(x1273,x1272)) % 0.66/0.85 [128]~E(x1281,x1282)+E(f16(x1281,x1283),f16(x1282,x1283)) % 0.66/0.85 [129]~E(x1291,x1292)+E(f16(x1293,x1291),f16(x1293,x1292)) % 0.66/0.85 [130]~E(x1301,x1302)+E(f38(x1301,x1303),f38(x1302,x1303)) % 0.66/0.85 [131]~E(x1311,x1312)+E(f38(x1313,x1311),f38(x1313,x1312)) % 0.66/0.85 [132]~E(x1321,x1322)+E(f62(x1321,x1323,x1324,x1325),f62(x1322,x1323,x1324,x1325)) % 0.66/0.85 [133]~E(x1331,x1332)+E(f62(x1333,x1331,x1334,x1335),f62(x1333,x1332,x1334,x1335)) % 0.66/0.85 [134]~E(x1341,x1342)+E(f62(x1343,x1344,x1341,x1345),f62(x1343,x1344,x1342,x1345)) % 0.66/0.85 [135]~E(x1351,x1352)+E(f62(x1353,x1354,x1355,x1351),f62(x1353,x1354,x1355,x1352)) % 0.66/0.85 [136]~E(x1361,x1362)+E(f60(x1361,x1363),f60(x1362,x1363)) % 0.66/0.85 [137]~E(x1371,x1372)+E(f60(x1373,x1371),f60(x1373,x1372)) % 0.66/0.85 [138]~E(x1381,x1382)+E(f36(x1381,x1383),f36(x1382,x1383)) % 0.66/0.85 [139]~E(x1391,x1392)+E(f36(x1393,x1391),f36(x1393,x1392)) % 0.66/0.85 [140]~E(x1401,x1402)+E(f57(x1401,x1403,x1404,x1405),f57(x1402,x1403,x1404,x1405)) % 0.66/0.85 [141]~E(x1411,x1412)+E(f57(x1413,x1411,x1414,x1415),f57(x1413,x1412,x1414,x1415)) % 0.66/0.85 [142]~E(x1421,x1422)+E(f57(x1423,x1424,x1421,x1425),f57(x1423,x1424,x1422,x1425)) % 0.66/0.85 [143]~E(x1431,x1432)+E(f57(x1433,x1434,x1435,x1431),f57(x1433,x1434,x1435,x1432)) % 0.66/0.85 [144]~E(x1441,x1442)+E(f53(x1441,x1443,x1444,x1445),f53(x1442,x1443,x1444,x1445)) % 0.66/0.85 [145]~E(x1451,x1452)+E(f53(x1453,x1451,x1454,x1455),f53(x1453,x1452,x1454,x1455)) % 0.66/0.85 [146]~E(x1461,x1462)+E(f53(x1463,x1464,x1461,x1465),f53(x1463,x1464,x1462,x1465)) % 0.66/0.85 [147]~E(x1471,x1472)+E(f53(x1473,x1474,x1475,x1471),f53(x1473,x1474,x1475,x1472)) % 0.66/0.85 [148]~E(x1481,x1482)+E(f66(x1481,x1483,x1484,x1485),f66(x1482,x1483,x1484,x1485)) % 0.66/0.85 [149]~E(x1491,x1492)+E(f66(x1493,x1491,x1494,x1495),f66(x1493,x1492,x1494,x1495)) % 0.66/0.85 [150]~E(x1501,x1502)+E(f66(x1503,x1504,x1501,x1505),f66(x1503,x1504,x1502,x1505)) % 0.66/0.85 [151]~E(x1511,x1512)+E(f66(x1513,x1514,x1515,x1511),f66(x1513,x1514,x1515,x1512)) % 0.66/0.85 [152]~E(x1521,x1522)+E(f61(x1521,x1523,x1524,x1525),f61(x1522,x1523,x1524,x1525)) % 0.66/0.85 [153]~E(x1531,x1532)+E(f61(x1533,x1531,x1534,x1535),f61(x1533,x1532,x1534,x1535)) % 0.66/0.85 [154]~E(x1541,x1542)+E(f61(x1543,x1544,x1541,x1545),f61(x1543,x1544,x1542,x1545)) % 0.66/0.85 [155]~E(x1551,x1552)+E(f61(x1553,x1554,x1555,x1551),f61(x1553,x1554,x1555,x1552)) % 0.66/0.85 [156]~P1(x1561)+P1(x1562)+~E(x1561,x1562) % 0.66/0.85 [157]~P2(x1571)+P2(x1572)+~E(x1571,x1572) % 0.66/0.85 [158]~P16(x1581)+P16(x1582)+~E(x1581,x1582) % 0.66/0.85 [159]~P3(x1591)+P3(x1592)+~E(x1591,x1592) % 0.66/0.85 [160]~P11(x1601)+P11(x1602)+~E(x1601,x1602) % 0.66/0.85 [161]~P17(x1611)+P17(x1612)+~E(x1611,x1612) % 0.66/0.85 [162]~P12(x1621)+P12(x1622)+~E(x1621,x1622) % 0.66/0.85 [163]~P13(x1631)+P13(x1632)+~E(x1631,x1632) % 0.66/0.85 [164]~P14(x1641)+P14(x1642)+~E(x1641,x1642) % 0.66/0.85 [165]~P15(x1651)+P15(x1652)+~E(x1651,x1652) % 0.66/0.85 [166]~P18(x1661)+P18(x1662)+~E(x1661,x1662) % 0.66/0.85 [167]~P22(x1671)+P22(x1672)+~E(x1671,x1672) % 0.66/0.85 [168]P4(x1682,x1683)+~E(x1681,x1682)+~P4(x1681,x1683) % 0.66/0.85 [169]P4(x1693,x1692)+~E(x1691,x1692)+~P4(x1693,x1691) % 0.66/0.85 [170]~P23(x1701)+P23(x1702)+~E(x1701,x1702) % 0.66/0.85 [171]P6(x1712,x1713,x1714)+~E(x1711,x1712)+~P6(x1711,x1713,x1714) % 0.66/0.85 [172]P6(x1723,x1722,x1724)+~E(x1721,x1722)+~P6(x1723,x1721,x1724) % 0.66/0.85 [173]P6(x1733,x1734,x1732)+~E(x1731,x1732)+~P6(x1733,x1734,x1731) % 0.66/0.85 [174]P8(x1742,x1743,x1744)+~E(x1741,x1742)+~P8(x1741,x1743,x1744) % 0.66/0.85 [175]P8(x1753,x1752,x1754)+~E(x1751,x1752)+~P8(x1753,x1751,x1754) % 0.66/0.85 [176]P8(x1763,x1764,x1762)+~E(x1761,x1762)+~P8(x1763,x1764,x1761) % 0.66/0.85 [177]P7(x1772,x1773,x1774)+~E(x1771,x1772)+~P7(x1771,x1773,x1774) % 0.66/0.85 [178]P7(x1783,x1782,x1784)+~E(x1781,x1782)+~P7(x1783,x1781,x1784) % 0.66/0.85 [179]P7(x1793,x1794,x1792)+~E(x1791,x1792)+~P7(x1793,x1794,x1791) % 0.66/0.85 [180]P5(x1802,x1803,x1804,x1805,x1806,x1807,x1808,x1809,x18010)+~E(x1801,x1802)+~P5(x1801,x1803,x1804,x1805,x1806,x1807,x1808,x1809,x18010) % 0.66/0.85 [181]P5(x1813,x1812,x1814,x1815,x1816,x1817,x1818,x1819,x18110)+~E(x1811,x1812)+~P5(x1813,x1811,x1814,x1815,x1816,x1817,x1818,x1819,x18110) % 0.66/0.85 [182]P5(x1823,x1824,x1822,x1825,x1826,x1827,x1828,x1829,x18210)+~E(x1821,x1822)+~P5(x1823,x1824,x1821,x1825,x1826,x1827,x1828,x1829,x18210) % 0.66/0.85 [183]P5(x1833,x1834,x1835,x1832,x1836,x1837,x1838,x1839,x18310)+~E(x1831,x1832)+~P5(x1833,x1834,x1835,x1831,x1836,x1837,x1838,x1839,x18310) % 0.66/0.85 [184]P5(x1843,x1844,x1845,x1846,x1842,x1847,x1848,x1849,x18410)+~E(x1841,x1842)+~P5(x1843,x1844,x1845,x1846,x1841,x1847,x1848,x1849,x18410) % 0.66/0.85 [185]P5(x1853,x1854,x1855,x1856,x1857,x1852,x1858,x1859,x18510)+~E(x1851,x1852)+~P5(x1853,x1854,x1855,x1856,x1857,x1851,x1858,x1859,x18510) % 0.66/0.85 [186]P5(x1863,x1864,x1865,x1866,x1867,x1868,x1862,x1869,x18610)+~E(x1861,x1862)+~P5(x1863,x1864,x1865,x1866,x1867,x1868,x1861,x1869,x18610) % 0.66/0.85 [187]P5(x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1872,x18710)+~E(x1871,x1872)+~P5(x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1871,x18710) % 0.66/0.85 [188]P5(x1883,x1884,x1885,x1886,x1887,x1888,x1889,x18810,x1882)+~E(x1881,x1882)+~P5(x1883,x1884,x1885,x1886,x1887,x1888,x1889,x18810,x1881) % 0.66/0.85 [189]~P19(x1891)+P19(x1892)+~E(x1891,x1892) % 0.66/0.85 [190]~P21(x1901)+P21(x1902)+~E(x1901,x1902) % 0.66/0.85 [191]~P20(x1911)+P20(x1912)+~E(x1911,x1912) % 0.66/0.85 [192]P9(x1922,x1923,x1924,x1925)+~E(x1921,x1922)+~P9(x1921,x1923,x1924,x1925) % 0.66/0.85 [193]P9(x1933,x1932,x1934,x1935)+~E(x1931,x1932)+~P9(x1933,x1931,x1934,x1935) % 0.66/0.85 [194]P9(x1943,x1944,x1942,x1945)+~E(x1941,x1942)+~P9(x1943,x1944,x1941,x1945) % 0.66/0.85 [195]P9(x1953,x1954,x1955,x1952)+~E(x1951,x1952)+~P9(x1953,x1954,x1955,x1951) % 0.66/0.85 [196]P10(x1962,x1963,x1964)+~E(x1961,x1962)+~P10(x1961,x1963,x1964) % 0.66/0.85 [197]P10(x1973,x1972,x1974)+~E(x1971,x1972)+~P10(x1973,x1971,x1974) % 0.66/0.85 [198]P10(x1983,x1984,x1982)+~E(x1981,x1982)+~P10(x1983,x1984,x1981) % 0.66/0.85 % 0.66/0.85 %------------------------------------------- % 0.66/0.85 cnf(722,plain, % 0.66/0.85 ($false), % 0.66/0.85 inference(scs_inference,[],[359,327]), % 0.66/0.85 ['proof']). % 0.66/0.85 % SZS output end Proof % 0.66/0.85 % Total time :0.040000s %------------------------------------------------------------------------------