%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV880-1 : 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 : n022.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 16:48:48 EDT 2024 % Result : Unsatisfiable 0.56s 0.96s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV880-1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Jun 20 21:24:24 EDT 2024 % 0.13/0.33 % CPUTime : % 0.47/0.56 start to proof:theBenchmark % 0.53/0.92 %------------------------------------------- % 0.53/0.92 % File :CSE---1.7 % 0.53/0.92 % Problem :theBenchmark % 0.53/0.92 % Transform :cnf % 0.53/0.92 % Format :tptp:raw % 0.53/0.92 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.92 % 0.53/0.92 % Result :Theorem 0.170000s % 0.53/0.92 % Output :CNFRefutation 0.170000s % 0.53/0.92 %------------------------------------------- % 0.53/0.92 %------------------------------------------------------------------------------ % 0.53/0.92 % File : SWV880-1 : TPTP v8.2.0. Released v4.1.0. % 0.53/0.92 % Domain : Software Verification % 0.53/0.92 % Problem : Hoare logic with procedures 375_1 % 0.53/0.92 % Version : Especial. % 0.53/0.92 % English : Completeness is taken relative to completeness of the underlying % 0.53/0.92 % logic. Two versions of completeness proof: nested single recursion % 0.53/0.92 % and simultaneous recursion in call rule. % 0.53/0.92 % 0.53/0.92 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.53/0.92 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.53/0.92 % Source : [Nip10] % 0.53/0.92 % Names : Hoare-375_1 [Nip10] % 0.53/0.92 % 0.53/0.92 % Status : Unsatisfiable % 0.53/0.92 % Rating : 0.05 v8.2.0, 0.10 v8.1.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0 % 0.53/0.92 % Syntax : Number of clauses : 507 ( 98 unt; 81 nHn; 280 RR) % 0.53/0.92 % Number of literals : 1281 ( 252 equ; 709 neg) % 0.53/0.92 % Maximal clause size : 7 ( 2 avg) % 0.53/0.92 % Maximal term depth : 7 ( 1 avg) % 0.53/0.92 % Number of predicates : 25 ( 24 usr; 0 prp; 1-6 aty) % 0.53/0.92 % Number of functors : 38 ( 38 usr; 8 con; 0-5 aty) % 0.53/0.92 % Number of variables : 1812 ( 194 sgn) % 0.53/0.92 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.53/0.92 % 0.53/0.92 % Comments : % 0.53/0.92 %------------------------------------------------------------------------------ % 0.53/0.92 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.53/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.92 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_y,V_z,T_a)),V_x) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x),T_a) ) ). % 0.53/0.92 % 0.53/0.92 cnf(cls_lessThan__iff_1,axiom, % 0.53/0.92 ( ~ class_HOL_Oord(T_a) % 0.53/0.92 | c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a) % 0.53/0.92 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ). % 0.53/0.92 % 0.53/0.92 cnf(cls_lessThan__iff_0,axiom, % 0.53/0.92 ( ~ class_HOL_Oord(T_a) % 0.53/0.92 | c_HOL_Oord__class_Oless(V_i,V_k,T_a) % 0.53/0.92 | ~ c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a) ) ). % 0.53/0.92 % 0.53/0.92 cnf(cls_vimage__UNIV_0,axiom, % 0.53/0.92 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inj__vimage__image__eq_0,axiom, % 0.53/0.93 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A % 0.53/0.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_vimage__Diff_0,axiom, % 0.53/0.93 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__diff__distrib__left_0,axiom, % 0.53/0.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.53/0.93 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_HOL_Ominus__class_Ominus(V_x,V_z,T_a)),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a)) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_max__less__iff__conj_2,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__less__iff__conj_2,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_finite__vimageI_0,axiom, % 0.53/0.93 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b) % 0.53/0.93 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) % 0.53/0.93 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_order__less__trans_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Opreorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_psubset__trans_0,axiom, % 0.53/0.93 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_xt1_I10_J_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Oorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inf__min_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.93 | c_Lattices_Olower__semilattice__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_max__diff__distrib__left_0,axiom, % 0.53/0.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.53/0.93 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)) = V_x ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_less__max__iff__disj_1,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_less__max__iff__disj_2,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_max__less__iff__conj_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_max__less__iff__conj_1,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_Int__commute_0,axiom, % 0.53/0.93 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) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inf__commute_0,axiom, % 0.53/0.93 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.53/0.93 | 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) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.53/0.93 ( ~ class_Lattices_Olattice(T_a) % 0.53/0.93 | 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) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_lessThan__eq__iff_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a) % 0.53/0.93 | V_x = V_y ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__less__iff__conj_0,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__less__iff__conj_1,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__less__iff__disj_1,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_min__less__iff__disj_2,axiom, % 0.53/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.53/0.93 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 0.53/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inj__on__image__iff_7,axiom, % 0.53/0.93 ( hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)) % 0.53/0.93 | hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))) != hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))) % 0.53/0.93 | c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.53/0.93 | ~ c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.53/0.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) ) ). % 0.53/0.93 % 0.53/0.93 cnf(cls_inj__on__image__iff_6,axiom, % 0.55/0.93 ( hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)) % 0.55/0.93 | hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))) != hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))) % 0.55/0.93 | c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_inj__on__image__iff_5,axiom, % 0.55/0.93 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.55/0.93 | hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)) = hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)) % 0.55/0.93 | hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))) = hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_inj__on__image__iff_4,axiom, % 0.55/0.93 ( c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.55/0.93 | hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b)) = hAPP(V_g,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b)) % 0.55/0.93 | hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b))) = hAPP(V_g,hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b))) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_the__inv__f__f_0,axiom, % 0.55/0.93 ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom, % 0.55/0.93 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 0.55/0.93 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 0.55/0.93 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Osup__commute_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_inv__image__comp_0,axiom, % 0.55/0.93 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_image__inv__f__f_0,axiom, % 0.55/0.93 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A % 0.55/0.93 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z),T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_y,V_z,T_a)),T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) = V_x ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_inf1E_1,axiom, % 0.55/0.93 ( hBOOL(hAPP(V_B,V_x)) % 0.55/0.93 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_inf1E_0,axiom, % 0.55/0.93 ( hBOOL(hAPP(V_A,V_x)) % 0.55/0.93 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_fun__upd__idem__iff_0,axiom, % 0.55/0.93 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 0.55/0.93 | hAPP(V_f,V_x) = V_y ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.55/0.93 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.93 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 0.55/0.93 % 0.55/0.93 cnf(cls_vimage__Int_0,axiom, % 0.55/0.94 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_Int__iff_2,axiom, % 0.55/0.94 ( c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 0.55/0.94 | ~ c_in(V_c,V_B,T_a) % 0.55/0.94 | ~ c_in(V_c,V_A,T_a) ) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_IntI_0,axiom, % 0.55/0.94 ( c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 0.55/0.94 | ~ c_in(V_c,V_B,T_a) % 0.55/0.94 | ~ c_in(V_c,V_A,T_a) ) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_UNIV__I_0,axiom, % 0.55/0.94 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_psubsetD_0,axiom, % 0.55/0.94 ( c_in(V_c,V_B,T_a) % 0.55/0.94 | ~ c_in(V_c,V_A,T_a) % 0.55/0.94 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_IntE_1,axiom, % 0.55/0.94 ( c_in(V_c,V_B,T_a) % 0.55/0.94 | ~ c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_IntE_0,axiom, % 0.55/0.94 ( c_in(V_c,V_A,T_a) % 0.55/0.94 | ~ c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ) ). % 0.55/0.94 % 0.55/0.94 cnf(cls_vimage__eq_1,axiom, % 0.56/0.94 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) % 0.56/0.94 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimageI2_0,axiom, % 0.56/0.94 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b) % 0.56/0.94 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimageI_0,axiom, % 0.56/0.94 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b) % 0.56/0.94 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimageE_0,axiom, % 0.56/0.94 ( c_in(hAPP(V_f,V_a),V_B,T_b) % 0.56/0.94 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimageD_0,axiom, % 0.56/0.94 ( c_in(hAPP(V_f,V_a),V_A,T_b) % 0.56/0.94 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | ~ c_lessequals(V_x,V_y,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__neq__le__trans_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.56/0.94 | ~ c_lessequals(V_a,V_b,T_a) % 0.56/0.94 | V_a = V_b ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__le__neq__trans_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.56/0.94 | V_a = V_b % 0.56/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__le_2,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__le__less_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_xt1_I12_J_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.56/0.94 | ~ c_lessequals(V_b,V_a,T_a) % 0.56/0.94 | V_a = V_b ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_xt1_I11_J_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.56/0.94 | V_a = V_b % 0.56/0.94 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__le__trans_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.56/0.94 | ~ c_lessequals(V_y,V_z,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Orderings_Oord__class_Omax(V_y,V_z,T_a)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z),T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_image__Int_0,axiom, % 0.56/0.94 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 0.56/0.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__twist_0,axiom, % 0.56/0.94 ( 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) % 0.56/0.94 | V_a = V_c ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_injD_0,axiom, % 0.56/0.94 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.56/0.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 0.56/0.94 | V_x = V_y ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_less__max__iff__disj_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olattice(T_a) % 0.56/0.94 | 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)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olattice(T_a) % 0.56/0.94 | 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)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__left__commute_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | 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)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__assoc_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | 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)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__assoc_0,axiom, % 0.56/0.94 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)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__left__commute_0,axiom, % 0.56/0.94 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)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__less__iff__disj_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__eq__top__eq2_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.94 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 0.56/0.94 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__eq__top__eq1_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.94 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 0.56/0.94 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Diff__Int__distrib_0,axiom, % 0.56/0.94 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)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Diff__Int__distrib2_0,axiom, % 0.56/0.94 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)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__upd_0,axiom, % 0.56/0.94 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) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__top__right_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.94 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__top__left_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.94 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__UNIV__left_0,axiom, % 0.56/0.94 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__UNIV__right_0,axiom, % 0.56/0.94 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ). % 0.56/0.94 % 0.56/0.94 cnf(cls_image__vimage__eq_0,axiom, % 0.56/0.94 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Diff__Int2_0,axiom, % 0.56/0.94 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)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_psubset__eq_1,axiom, % 0.56/0.94 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__le_1,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__neq__iff_1,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__irrefl_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_top1I_0,axiom, % 0.56/0.94 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.56/0.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | V_x = V_y ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__neqE_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | V_x = V_y ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__less__linear_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | V_x = V_y % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Osup__idem_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_less__infI2_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_less__infI1_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__idem_0,axiom, % 0.56/0.94 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__same_0,axiom, % 0.56/0.94 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__triv_0,axiom, % 0.56/0.94 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__apply_0,axiom, % 0.56/0.94 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__idem__iff_1,axiom, % 0.56/0.94 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olattice(T_a) % 0.56/0.94 | 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) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__left__idem_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | 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) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__left__absorb_0,axiom, % 0.56/0.94 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) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf__idem_0,axiom, % 0.56/0.94 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.94 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__absorb_0,axiom, % 0.56/0.94 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inv__f__f_0,axiom, % 0.56/0.94 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 0.56/0.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inv__f__eq_0,axiom, % 0.56/0.94 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 0.56/0.94 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_Int__Diff_0,axiom, % 0.56/0.94 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))) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimage__code_0,axiom, % 0.56/0.94 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 0.56/0.94 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimage__code_1,axiom, % 0.56/0.94 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 0.56/0.94 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_inf1I_0,axiom, % 0.56/0.94 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 0.56/0.94 | ~ hBOOL(hAPP(V_B,V_x)) % 0.56/0.94 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__apply_1,axiom, % 0.56/0.94 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 0.56/0.94 | V_z = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_fun__upd__other_0,axiom, % 0.56/0.94 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 0.56/0.94 | V_z = V_x ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),c_Orderings_Oord__class_Omax(V_x,V_z,T_a)),T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimage__const_0,axiom, % 0.56/0.94 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 0.56/0.94 | ~ c_in(V_c,V_A,T_b) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_less__eqI_0,axiom, % 0.56/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_less__eqI_1,axiom, % 0.56/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),V_x,T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_y,V_x,T_a)),c_Orderings_Oord__class_Omax(V_z,V_x,T_a)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | c_Orderings_Oord__class_Omax(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),c_Orderings_Oord__class_Omax(V_x,V_z,T_a)) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_xt1_I9_J_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.56/0.94 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__asym_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_order__less__asym_H_0,axiom, % 0.56/0.94 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.56/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.56/0.94 % 0.56/0.94 cnf(cls_vimage__subsetI_0,axiom, % 0.56/0.94 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.56/0.95 ( ~ c_in(V_x,V_B,T_a) % 0.56/0.95 | ~ c_in(V_x,V_A,T_a) % 0.56/0.95 | 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)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_fold__graph_OinsertI_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.56/0.95 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b) % 0.56/0.95 | c_in(V_x,V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__insert__left_1,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 0.56/0.95 | c_in(V_a,V_C,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__insert__right_1,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 0.56/0.95 | c_in(V_a,V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__insert__iff_0,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_in(V_x,V_B,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__insert__iff_6,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_in(V_x,V_B,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__insert__left_0,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) % 0.56/0.95 | ~ c_in(V_a,V_C,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__insert__right_0,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 0.56/0.95 | ~ c_in(V_a,V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_weak__coinduct_0,axiom, % 0.56/0.95 ( c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.95 | ~ c_lessequals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_in(V_a,V_X,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_lessThan__subset__iff_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_lessThan__subset__iff_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_rangeI_0,axiom, % 0.56/0.95 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inv__into__into_0,axiom, % 0.56/0.95 ( c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b) % 0.56/0.95 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inv__into__injective_0,axiom, % 0.56/0.95 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y) % 0.56/0.95 | V_x = V_y % 0.56/0.95 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.95 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_f__inv__into__f_0,axiom, % 0.56/0.95 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y % 0.56/0.95 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_fun__upd__image_1,axiom, % 0.56/0.95 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.56/0.95 | c_in(V_x,V_A,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inv__into__f__f_0,axiom, % 0.56/0.95 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 0.56/0.95 | ~ c_in(V_x,V_A,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inv__into__f__eq_0,axiom, % 0.56/0.95 ( ~ c_in(V_x,V_A,T_aa) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a) % 0.56/0.95 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_the__inv__into__f__f_0,axiom, % 0.56/0.95 ( hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 0.56/0.95 | ~ c_in(V_x,V_A,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_the__inv__into__f__eq_0,axiom, % 0.56/0.95 ( ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a) % 0.56/0.95 | hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x % 0.56/0.95 | ~ c_in(V_x,V_A,T_aa) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__vimage__subset_0,axiom, % 0.56/0.95 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__Int__subset_0,axiom, % 0.56/0.95 c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Diff__disjoint_0,axiom, % 0.56/0.95 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)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Diff__triv_0,axiom, % 0.56/0.95 ( 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)) % 0.56/0.95 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Diff__UNIV_0,axiom, % 0.56/0.95 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__the__inv__into_0,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__image__eq__iff_0,axiom, % 0.56/0.95 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 0.56/0.95 | V_A = V_B ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_the__inv__into__onto_0,axiom, % 0.56/0.95 ( c_Set_Oimage(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_card__image_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_card__insert__if_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a) % 0.56/0.95 | ~ c_in(V_x,V_A,T_a) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_vimage__singleton__eq_1,axiom, % 0.56/0.95 c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_vimage__singleton__eq_0,axiom, % 0.56/0.95 ( hAPP(V_f,V_a) = V_b % 0.56/0.95 | ~ c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__insert__iff_2,axiom, % 0.56/0.95 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | c_in(V_x,V_A,T_a) % 0.56/0.95 | c_in(V_x,V_B,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__insert__iff_3,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | c_in(V_x,V_A,T_a) % 0.56/0.95 | c_in(V_x,V_B,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_order__le__less__trans_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_xt1_I8_J_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_xt1_I7_J_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_z,V_y,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_gfp__upperbound_0,axiom, % 0.56/0.95 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.56/0.95 | c_lessequals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a) % 0.56/0.95 | ~ c_lessequals(V_X,hAPP(V_f,V_X),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_top__greatest_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Otop(T_a) % 0.56/0.95 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__le1_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__le2_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__infI_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_b,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__inf__iff_2,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__greatest_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_order__less__imp__le_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_order__le__less_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_less__le__not__le_2,axiom, % 0.56/0.95 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.95 | c_lessequals(V_y,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__supE_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_a,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__supE_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_b,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__max__iff__disj_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.56/0.95 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__max__iff__disj_2,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.56/0.95 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_y,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__le__iff__disj_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_y,V_z,T_a) % 0.56/0.95 | c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__infE_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_a,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__infE_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_b,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__le__iff__disj_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__le__iff__disj_2,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__max__iff__disj_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_z,V_y,T_a) % 0.56/0.95 | c_lessequals(V_z,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__maxI2_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__maxI1_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__supI_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_b,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Osup__least_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_z,V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__infI_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_b,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) != V_x % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_not__leE_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.95 | c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_x,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.56/0.95 | c_lessequals(V_x,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__not__less_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__not__less_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_lessequals(V_y,V_x,T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__not__le_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_linorder__not__le_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_less__le__not__le_1,axiom, % 0.56/0.95 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__iff__inf_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 0.56/0.95 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__iff__inf_1,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__absorb2_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 0.56/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__infE_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,V_a,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__infE_1,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,V_b,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__infI1_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__infI2_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.56/0.95 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__inf__iff_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,V_y,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_le__inf__iff_1,axiom, % 0.56/0.95 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.56/0.95 | c_lessequals(V_x,V_z,T_a) % 0.56/0.95 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_finite__UNIV_0,axiom, % 0.56/0.95 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.56/0.95 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_fold__graph__imp__finite_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.95 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_finite__Int_1,axiom, % 0.56/0.95 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_finite__Int_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__bot__left_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.95 | 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) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inf__bot__right_0,axiom, % 0.56/0.95 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.56/0.95 | 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) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_vimage__empty_0,axiom, % 0.56/0.95 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_UNIV__not__empty_0,axiom, % 0.56/0.95 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_not__psubset__empty_0,axiom, % 0.56/0.95 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_empty__fold__graphE_0,axiom, % 0.56/0.95 ( V_x = V_z % 0.56/0.95 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__empty__right_0,axiom, % 0.56/0.95 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)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__empty__left_0,axiom, % 0.56/0.95 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)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_fold__graph_OemptyI_0,axiom, % 0.56/0.95 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom, % 0.56/0.95 c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_insert__inter__insert_0,axiom, % 0.56/0.95 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_less__fun__def_0,axiom, % 0.56/0.95 ( ~ class_HOL_Oord(T_b) % 0.56/0.95 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_less__fun__def_2,axiom, % 0.56/0.95 ( ~ class_HOL_Oord(T_b) % 0.56/0.95 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) % 0.56/0.95 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.56/0.95 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_less__fun__def_1,axiom, % 0.56/0.95 ( ~ class_HOL_Oord(T_b) % 0.56/0.95 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_subset__iff__psubset__eq_0,axiom, % 0.56/0.95 ( V_A = V_B % 0.56/0.95 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__eq_2,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | V_A = V_B % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__mono_0,axiom, % 0.56/0.95 ( 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)) % 0.56/0.95 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_subset__psubset__trans_0,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__subset__trans_0,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_subset__UNIV_0,axiom, % 0.56/0.95 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__subset__iff_2,axiom, % 0.56/0.95 ( 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)) % 0.56/0.95 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__greatest_0,axiom, % 0.56/0.95 ( 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)) % 0.56/0.95 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__lower2_0,axiom, % 0.56/0.95 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)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__lower1_0,axiom, % 0.56/0.95 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)) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__eq_0,axiom, % 0.56/0.95 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__absorb2_0,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__absorb1_0,axiom, % 0.56/0.95 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 0.56/0.95 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_vimage__mono_0,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__subset__iff_1,axiom, % 0.56/0.95 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ 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)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_Int__subset__iff_0,axiom, % 0.56/0.95 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ 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)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_psubset__insert__iff_7,axiom, % 0.56/0.95 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | c_in(V_x,V_A,T_a) % 0.56/0.95 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_finite__subset__induct_3,axiom, % 0.56/0.95 ( hBOOL(hAPP(V_P,V_F)) % 0.56/0.95 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a))) % 0.56/0.95 | ~ hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.56/0.95 | ~ c_lessequals(V_F,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_finite__subset__induct_0,axiom, % 0.56/0.95 ( hBOOL(hAPP(V_P,V_F)) % 0.56/0.95 | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a) % 0.56/0.95 | ~ hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.56/0.95 | ~ c_lessequals(V_F,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__subsetI_0,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__subset__iff_2,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__subset__iff_1,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_weak__coinduct__image_0,axiom, % 0.56/0.95 ( c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b) % 0.56/0.95 | ~ c_lessequals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_in(V_a,V_X,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_image__subsetI_1,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_vimage__const_1,axiom, % 0.56/0.95 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.95 | c_in(V_c,V_A,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__image__mem__iff_0,axiom, % 0.56/0.95 ( c_in(V_a,V_A,T_a) % 0.56/0.95 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__image__mem__iff_1,axiom, % 0.56/0.95 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.95 | ~ c_in(V_a,V_A,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_f__the__inv__into__f_0,axiom, % 0.56/0.95 ( hAPP(V_f,hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_y)) = V_y % 0.56/0.95 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__fun__updI_0,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b) % 0.56/0.95 | c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__image__iff_2,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__image__iff_3,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__image__iff_0,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__image__iff_1,axiom, % 0.56/0.95 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_g,V_A,T_a,T_b) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.95 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_single__Diff__lessThan_0,axiom, % 0.56/0.95 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.95 | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_eq__card__imp__inj__on_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) != c_Finite__Set_Ocard(V_A,T_a) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.95 | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__iff__eq__card_0,axiom, % 0.56/0.95 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.95 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inv__into__image__cancel_0,axiom, % 0.56/0.95 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S % 0.56/0.95 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__on__image__Int_0,axiom, % 0.56/0.95 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 0.56/0.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__image__subset__iff_0,axiom, % 0.56/0.95 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.95 cnf(cls_inj__image__subset__iff_1,axiom, % 0.56/0.95 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.95 % 0.56/0.96 cnf(cls_inj__on__inv__into_0,axiom, % 0.56/0.96 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b) % 0.56/0.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__set__diff_0,axiom, % 0.56/0.96 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__eqI_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMax(V_A,T_a) = V_x % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A,V_x,T_a),V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__eqI_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMin(V_A,T_a) = V_x % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A,V_x,T_a),V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom, % 0.56/0.96 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.56/0.96 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_psubset__insert__iff_1,axiom, % 0.56/0.96 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | c_in(V_x,V_B,T_a) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_psubset__insert__iff_4,axiom, % 0.56/0.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_psubset__insert__iff_8,axiom, % 0.56/0.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_setsum__diff1__nat_1,axiom, % 0.56/0.96 ( c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat) % 0.56/0.96 | c_in(V_a,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff1__fold__graph_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_setsum__diff_0,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.56/0.96 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b) % 0.56/0.96 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_the__inv__into__into_0,axiom, % 0.56/0.96 ( c_in(hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_x),V_B,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_psubset__insert__iff_9,axiom, % 0.56/0.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_card__bij__eq_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_b) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_lessequals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_a) % 0.56/0.96 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__eqI_1,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMax(V_A,T_a) = V_x % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A,V_x,T_a),V_x,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__eqI_1,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMin(V_A,T_a) = V_x % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_x,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A,V_x,T_a),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__insert_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__insert_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_x,V_A,T_a),T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_setsum__diff1_1,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.56/0.96 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b) % 0.56/0.96 | c_in(V_a,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_card__Diff__singleton__if_1,axiom, % 0.56/0.96 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Finite__Set_Ocard(V_A,T_a) % 0.56/0.96 | c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_psubset__insert__iff_5,axiom, % 0.56/0.96 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_fun__upd__image_0,axiom, % 0.56/0.96 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__induct_2,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_P,V_F)) % 0.56/0.96 | ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.56/0.96 | ~ c_lessequals(V_F,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__induct_4,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_P,V_F)) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a))) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.56/0.96 | ~ c_lessequals(V_F,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_setsum__diff1_0,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.56/0.96 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 0.56/0.96 | ~ c_in(V_a,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_setsum__diff1__ring_0,axiom, % 0.56/0.96 ( ~ class_Ring__and__Field_Oring(T_b) % 0.56/0.96 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 0.56/0.96 | ~ c_in(V_a,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__constant__conv_1,axiom, % 0.56/0.96 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert__iff_4,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__insert__absorb_0,axiom, % 0.56/0.96 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A % 0.56/0.96 | c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__Diff_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A % 0.56/0.96 | ~ c_in(V_a,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__in_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__in_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__le_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__ge_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__diff__subset_0,axiom, % 0.56/0.96 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__constant__conv_0,axiom, % 0.56/0.96 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__imageD_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_A,T_b) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__Diff__single_0,axiom, % 0.56/0.96 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__singleton_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__insert_0,axiom, % 0.56/0.96 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__insert2_0,axiom, % 0.56/0.96 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__singleton_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__Diff__insert_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__Diff__insert_1,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__insert_1,axiom, % 0.56/0.96 ( ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__insert_2,axiom, % 0.56/0.96 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 0.56/0.96 | c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__Diff__if_1,axiom, % 0.56/0.96 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | c_in(V_x,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__Diff1_0,axiom, % 0.56/0.96 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__image__set__diff_0,axiom, % 0.56/0.96 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__subset_0,axiom, % 0.56/0.96 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)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__mono_0,axiom, % 0.56/0.96 ( 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)) % 0.56/0.96 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__inj__on_0,axiom, % 0.56/0.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_double__diff_0,axiom, % 0.56/0.96 ( 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 % 0.56/0.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__insert_0,axiom, % 0.56/0.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__empty_0,axiom, % 0.56/0.96 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__empty_0,axiom, % 0.56/0.96 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 ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__cancel_0,axiom, % 0.56/0.96 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)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__Diff_0,axiom, % 0.56/0.96 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)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__Diff_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__Diff2_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__Diff2_1,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_le__eqI_0,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/0.96 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/0.96 | c_lessequals(V_y_H,V_x_H,T_a) % 0.56/0.96 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_le__eqI_1,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/0.96 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/0.96 | c_lessequals(V_y,V_x,T_a) % 0.56/0.96 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_DiffI_0,axiom, % 0.56/0.96 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | c_in(V_c,V_B,T_a) % 0.56/0.96 | ~ c_in(V_c,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__iff_2,axiom, % 0.56/0.96 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | c_in(V_c,V_B,T_a) % 0.56/0.96 | ~ c_in(V_c,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__onD_0,axiom, % 0.56/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.96 | V_x = V_y % 0.56/0.96 | ~ c_in(V_y,V_A,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__def_0,axiom, % 0.56/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 0.56/0.96 | ~ c_in(V_xa,V_A,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.96 | V_x = V_xa ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__iff_0,axiom, % 0.56/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.56/0.96 | ~ c_in(V_y,V_A,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.56/0.96 | V_x = V_y ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__contraD_0,axiom, % 0.56/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.56/0.96 | ~ c_in(V_y,V_A,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | V_x = V_y % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_DiffE_0,axiom, % 0.56/0.96 ( c_in(V_c,V_A,T_a) % 0.56/0.96 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_DiffE_1,axiom, % 0.56/0.96 ( ~ c_in(V_c,V_B,T_a) % 0.56/0.96 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_eq__eqI_0,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/0.96 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/0.96 | V_x_H = V_y_H ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_eq__eqI_1,axiom, % 0.56/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/0.96 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.56/0.96 | V_xa = V_y ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Diff__idemp_0,axiom, % 0.56/0.96 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)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_COMBK__def_0,axiom, % 0.56/0.96 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 0.56/0.96 % 0.56/0.96 cnf(cls_inj__on__diff_0,axiom, % 0.56/0.96 ( 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) % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__image_0,axiom, % 0.56/0.96 ( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_endo__inj__surj_0,axiom, % 0.56/0.96 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A % 0.56/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.96 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__image_1,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b) % 0.56/0.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__image_2,axiom, % 0.56/0.96 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a) % 0.56/0.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__surj__inj_0,axiom, % 0.56/0.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset__induct_1,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_P,V_F)) % 0.56/0.96 | c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),V_A,T_a) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 0.56/0.96 | ~ c_lessequals(V_F,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Min__antimono_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.56/0.96 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_Max__mono_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.56/0.96 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_diff__single__insert_0,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert__iff_3,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert__iff_0,axiom, % 0.56/0.96 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__constant_0,axiom, % 0.56/0.96 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_linorder__linear_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Olinorder(T_a) % 0.56/0.96 | c_lessequals(V_y,V_x,T_a) % 0.56/0.96 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__mono_0,axiom, % 0.56/0.96 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__image__iff_2,axiom, % 0.56/0.96 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 0.56/0.96 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__mono_0,axiom, % 0.56/0.96 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__singletonD_0,axiom, % 0.56/0.96 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_singleton__iff_1,axiom, % 0.56/0.96 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__is__empty_0,axiom, % 0.56/0.96 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__iff_2,axiom, % 0.56/0.96 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 0.56/0.96 | ~ c_in(V_a,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insertCI_0,axiom, % 0.56/0.96 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 0.56/0.96 | ~ c_in(V_a,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_rev__finite__subset_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_rev__predicate1D_0,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_Q,V_x)) % 0.56/0.96 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__subset_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__eq__refl_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.96 | c_lessequals(V_x,V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__eq__iff_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.96 | c_lessequals(V_x,V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_predicate1D_0,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_Q,V_x)) % 0.56/0.96 | ~ hBOOL(hAPP(V_P,V_x)) % 0.56/0.96 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__trans_0,axiom, % 0.56/0.96 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__refl_0,axiom, % 0.56/0.96 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__iff_0,axiom, % 0.56/0.96 ( c_in(V_t,V_B,T_a) % 0.56/0.96 | ~ c_in(V_t,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_set__rev__mp_0,axiom, % 0.56/0.96 ( c_in(V_x,V_B,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_equalityE_0,axiom, % 0.56/0.96 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subsetD_0,axiom, % 0.56/0.96 ( c_in(V_c,V_B,T_a) % 0.56/0.96 | ~ c_in(V_c,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_set__mp_0,axiom, % 0.56/0.96 ( c_in(V_x,V_B,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__trans_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Opreorder(T_a) % 0.56/0.96 | c_lessequals(V_x,V_z,T_a) % 0.56/0.96 | ~ c_lessequals(V_y,V_z,T_a) % 0.56/0.96 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_xt1_I6_J_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.96 | c_lessequals(V_z,V_x,T_a) % 0.56/0.96 | ~ c_lessequals(V_z,V_y,T_a) % 0.56/0.96 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__subset_2,axiom, % 0.56/0.96 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_in(V_x,V_B,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__code_1,axiom, % 0.56/0.96 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__insert_0,axiom, % 0.56/0.96 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_ex__in__conv_0,axiom, % 0.56/0.96 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_ball__empty_0,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_P,V_x)) % 0.56/0.96 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__iff_0,axiom, % 0.56/0.96 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_emptyE_0,axiom, % 0.56/0.96 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__not__insert_0,axiom, % 0.56/0.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__empty_1,axiom, % 0.56/0.96 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)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__empty_0,axiom, % 0.56/0.96 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_doubleton__eq__iff_3,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.56/0.96 | V_b = V_c % 0.56/0.96 | V_b = V_d ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_doubleton__eq__iff_2,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.56/0.96 | V_a = V_d % 0.56/0.96 | V_b = V_d ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_doubleton__eq__iff_1,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.56/0.96 | V_b = V_c % 0.56/0.96 | V_a = V_c ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_doubleton__eq__iff_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.56/0.96 | V_a = V_d % 0.56/0.96 | V_a = V_c ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__imageI_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__antisym__conv_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.96 | V_x = V_y % 0.56/0.96 | ~ c_lessequals(V_x,V_y,T_a) % 0.56/0.96 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__antisym_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.96 | V_x = V_y % 0.56/0.96 | ~ c_lessequals(V_y,V_x,T_a) % 0.56/0.96 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_order__eq__iff_2,axiom, % 0.56/0.96 ( ~ class_Orderings_Oorder(T_a) % 0.56/0.96 | V_x = V_y % 0.56/0.96 | ~ c_lessequals(V_y,V_x,T_a) % 0.56/0.96 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_set__eq__subset_2,axiom, % 0.56/0.96 ( V_A = V_B % 0.56/0.96 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_equalityI_0,axiom, % 0.56/0.96 ( V_A = V_B % 0.56/0.96 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insertE_0,axiom, % 0.56/0.96 ( c_in(V_a,V_A,T_a) % 0.56/0.96 | V_a = V_b % 0.56/0.96 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_bot1E_0,axiom, % 0.56/0.96 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite_OemptyI_0,axiom, % 0.56/0.96 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__insert_1,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__insert_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insertI_0,axiom, % 0.56/0.96 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__code_0,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_A,V_x)) % 0.56/0.96 | V_y = V_x % 0.56/0.96 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__absorb2_0,axiom, % 0.56/0.96 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__not__empty_0,axiom, % 0.56/0.96 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_bot__least_0,axiom, % 0.56/0.96 ( ~ class_Orderings_Obot(T_a) % 0.56/0.96 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__subsetI_0,axiom, % 0.56/0.96 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__is__image_0,axiom, % 0.56/0.96 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.56/0.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insertI2_0,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__subset_1,axiom, % 0.56/0.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite__surj_0,axiom, % 0.56/0.96 ( c_Finite__Set_Ofinite(V_B,T_b) % 0.56/0.96 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.56/0.96 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__subset__iff_0,axiom, % 0.56/0.96 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_b) % 0.56/0.96 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_singletonE_0,axiom, % 0.56/0.96 ( V_b = V_a % 0.56/0.96 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__iff_1,axiom, % 0.56/0.96 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insertI1_0,axiom, % 0.56/0.96 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insertCI_1,axiom, % 0.56/0.96 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__commute_0,axiom, % 0.56/0.96 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_mem__def_1,axiom, % 0.56/0.96 ( c_in(V_x,V_S,T_a) % 0.56/0.96 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_mem__def_0,axiom, % 0.56/0.96 ( hBOOL(hAPP(V_S,V_x)) % 0.56/0.96 | ~ c_in(V_x,V_S,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_doubleton__eq__iff_4,axiom, % 0.56/0.96 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__empty_0,axiom, % 0.56/0.96 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_singleton__inject_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.56/0.96 | V_a = V_b ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_bex__empty_0,axiom, % 0.56/0.96 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.56/0.96 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_xa,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__subset_0,axiom, % 0.56/0.96 ( c_in(V_x,V_B,T_a) % 0.56/0.96 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__code_2,axiom, % 0.56/0.96 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.56/0.96 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__image_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert__iff_2,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert__iff_1,axiom, % 0.56/0.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_A,T_a) % 0.56/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert_1,axiom, % 0.56/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_subset__insert_0,axiom, % 0.56/0.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.56/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.56/0.96 | c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__ident_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.56/0.96 | c_in(V_x,V_B,T_a) % 0.56/0.96 | c_in(V_x,V_A,T_a) % 0.56/0.96 | V_A = V_B ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_insert__absorb_0,axiom, % 0.56/0.96 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.56/0.96 | ~ c_in(V_a,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_empty__is__image_1,axiom, % 0.56/0.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_finite_0,axiom, % 0.56/0.96 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.56/0.96 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_rev__image__eqI_0,axiom, % 0.56/0.96 ( ~ c_in(V_x,V_A,T_aa) % 0.56/0.96 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__iff_2,axiom, % 0.56/0.96 ( ~ c_in(V_x,V_A,T_b) % 0.56/0.96 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_image__eqI_0,axiom, % 0.56/0.96 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 0.56/0.96 | ~ c_in(V_x,V_A,T_b) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_imageI_0,axiom, % 0.56/0.96 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.56/0.96 | ~ c_in(V_x,V_A,T_a) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_le__funD_0,axiom, % 0.56/0.96 ( ~ class_HOL_Oord(T_b) % 0.56/0.96 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.56/0.96 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_conjecture_0,negated_conjecture, % 0.56/0.96 c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_conjecture_1,negated_conjecture, % 0.56/0.96 v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_conjecture_2,negated_conjecture, % 0.56/0.96 c_in(v_pn,v_U,tc_Com_Opname) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_conjecture_3,negated_conjecture, % 0.56/0.96 ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 0.56/0.96 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.56/0.96 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Lattices_Olattice(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.56/0.96 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 0.56/0.96 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 0.56/0.96 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.56/0.96 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.56/0.96 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Lattices_Olattice(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.56/0.96 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Orderings_Oorder(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Orderings_Otop,axiom, % 0.56/0.96 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Orderings_Otop(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.56/0.96 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_Orderings_Obot(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_fun__HOL_Oord,axiom, % 0.56/0.96 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.56/0.96 | ~ class_HOL_Oord(T_1) ) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 0.56/0.96 class_Lattices_Olower__semilattice(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.56/0.96 class_Orderings_Opreorder(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.56/0.96 class_Orderings_Olinorder(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.56/0.96 class_Lattices_Olattice(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.56/0.96 class_Orderings_Oorder(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.56/0.96 class_Orderings_Obot(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_nat__HOL_Oord,axiom, % 0.56/0.96 class_HOL_Oord(tc_nat) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 0.56/0.96 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.56/0.96 class_Lattices_Olower__semilattice(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.56/0.96 class_Lattices_Obounded__lattice(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 0.56/0.96 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.56/0.96 class_Orderings_Opreorder(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.56/0.96 class_Lattices_Olattice(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.56/0.96 class_Orderings_Oorder(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Orderings_Otop,axiom, % 0.56/0.96 class_Orderings_Otop(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.56/0.96 class_Orderings_Obot(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(clsarity_bool__HOL_Oord,axiom, % 0.56/0.96 class_HOL_Oord(tc_bool) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.56/0.96 c_fequal(V_x,V_x,T_a) ). % 0.56/0.96 % 0.56/0.96 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.56/0.96 ( V_X = V_Y % 0.56/0.96 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.56/0.96 % 0.56/0.96 %------------------------------------------------------------------------------ % 0.56/0.96 %------------------------------------------- % 0.56/0.96 % Proof found % 0.56/0.96 % SZS status Theorem for theBenchmark % 0.56/0.96 % SZS output start Proof % 0.56/0.96 %ClaNum:648(EqnAxiom:141) % 0.56/0.96 %VarNum:4083(SingletonVarNum:1477) % 0.56/0.96 %MaxLitNum:7 % 0.56/0.96 %MaxfuncDepth:6 % 0.56/0.96 %SharedTerms:34 % 0.56/0.96 %goalClause: 159 160 184 239 % 0.56/0.96 %singleGoalClaCount:4 % 0.56/0.96 [142]P1(a1) % 0.56/0.96 [143]P2(a2) % 0.56/0.96 [144]P2(a1) % 0.56/0.96 [145]P19(a2) % 0.56/0.96 [146]P19(a1) % 0.56/0.96 [147]P20(a2) % 0.56/0.96 [148]P20(a1) % 0.56/0.96 [149]P13(a2) % 0.56/0.96 [150]P13(a1) % 0.56/0.96 [151]P14(a2) % 0.56/0.96 [152]P14(a1) % 0.56/0.96 [153]P15(a2) % 0.56/0.96 [154]P3(a2) % 0.56/0.96 [155]P21(a2) % 0.56/0.96 [156]P12(a2) % 0.56/0.96 [157]P16(a2) % 0.56/0.96 [158]P16(a1) % 0.56/0.96 [159]P4(a35,a3) % 0.56/0.96 [160]P5(a37,a35,a3) % 0.56/0.96 [184]E(f30(a38,a35,a3,a33),a36) % 0.56/0.96 [239]~P11(f29(f28(a38,a37),f4(f34(a33,a2)),a33),f30(a38,a35,a3,a33),f34(a33,a2)) % 0.56/0.96 [162]P4(f4(f34(x1621,a2)),x1621) % 0.56/0.96 [230]~E(f25(f34(x2301,a2)),f4(f34(x2301,a2))) % 0.56/0.96 [161]P6(x1611,x1611,x1612) % 0.56/0.96 [164]P11(x1641,x1641,f34(x1642,a2)) % 0.56/0.96 [231]~P10(x2311,x2311,f34(x2312,a2)) % 0.56/0.96 [165]E(f5(x1651,x1651,f34(x1652,a2)),f4(f34(x1652,a2))) % 0.56/0.96 [166]P5(x1661,f25(f34(x1662,a2)),x1662) % 0.56/0.96 [168]P11(x1681,f25(f34(x1682,a2)),f34(x1682,a2)) % 0.56/0.96 [169]P11(f4(f34(x1691,a2)),x1692,f34(x1691,a2)) % 0.56/0.96 [170]E(f5(x1701,f4(f34(x1702,a2)),f34(x1702,a2)),x1701) % 0.56/0.96 [173]E(f5(x1731,f25(f34(x1732,a2)),f34(x1732,a2)),f4(f34(x1732,a2))) % 0.56/0.96 [174]E(f5(f4(f34(x1741,a2)),x1742,f34(x1741,a2)),f4(f34(x1741,a2))) % 0.56/0.96 [236]~P5(x2361,f4(f34(x2362,a2)),x2362) % 0.56/0.96 [237]~P10(x2371,f4(f34(x2372,a2)),f34(x2372,a2)) % 0.56/0.96 [171]P22(f28(f25(f34(x1711,a2)),x1712)) % 0.56/0.96 [180]E(f28(f28(f22(f34(x1801,a2)),x1802),f25(f34(x1801,a2))),x1802) % 0.56/0.96 [182]E(f28(f28(f22(f34(x1821,a2)),x1822),f4(f34(x1821,a2))),f4(f34(x1821,a2))) % 0.56/0.96 [238]~P22(f28(f4(f34(x2381,a2)),x2382)) % 0.56/0.96 [172]E(f28(f28(f22(f34(x1721,a2)),x1722),x1722),x1722) % 0.56/0.96 [186]E(f28(f28(f22(f34(x1861,a2)),f25(f34(x1861,a2))),x1862),x1862) % 0.56/0.96 [188]E(f28(f28(f22(f34(x1881,a2)),f4(f34(x1881,a2))),x1882),f4(f34(x1881,a2))) % 0.56/0.96 [177]P5(x1771,f29(x1771,x1772,x1773),x1773) % 0.56/0.96 [179]P11(x1791,f29(x1792,x1791,x1793),f34(x1793,a2)) % 0.56/0.96 [181]E(f29(x1811,f29(x1811,x1812,x1813),x1813),f29(x1811,x1812,x1813)) % 0.56/0.96 [183]P11(f5(x1831,x1832,f34(x1833,a2)),x1831,f34(x1833,a2)) % 0.56/0.96 [185]P22(f28(f29(x1851,x1852,x1853),x1851)) % 0.56/0.96 [190]P7(x1901,f4(f34(x1902,a2)),x1902,x1903) % 0.56/0.96 [191]E(f5(f5(x1911,x1912,f34(x1913,a2)),x1912,f34(x1913,a2)),f5(x1911,x1912,f34(x1913,a2))) % 0.56/0.96 [232]~E(f29(x2321,x2322,x2323),f4(f34(x2323,a2))) % 0.56/0.96 [233]~E(f4(f34(x2331,a2)),f29(x2332,x2333,x2331)) % 0.56/0.96 [193]E(f28(f28(f22(f34(x1931,a2)),x1932),f5(x1933,x1932,f34(x1931,a2))),f4(f34(x1931,a2))) % 0.56/0.96 [195]E(f32(x1951,f25(f34(x1952,a2)),x1953,x1952),f25(f34(x1953,a2))) % 0.56/0.96 [196]E(f32(x1961,f4(f34(x1962,a2)),x1963,x1962),f4(f34(x1963,a2))) % 0.56/0.96 [197]E(f30(x1971,f4(f34(x1972,a2)),x1972,x1973),f4(f34(x1973,a2))) % 0.56/0.96 [206]E(f29(x2061,f5(x2062,f29(x2061,f4(f34(x2063,a2)),x2063),f34(x2063,a2)),x2063),f29(x2061,x2062,x2063)) % 0.56/0.96 [189]E(f28(f28(f22(f34(x1891,a2)),x1892),x1893),f28(f28(f22(f34(x1891,a2)),x1893),x1892)) % 0.56/0.96 [198]P11(f28(f28(f22(f34(x1981,a2)),x1982),x1983),x1983,f34(x1981,a2)) % 0.56/0.96 [199]P11(f28(f28(f22(f34(x1991,a2)),x1992),x1993),x1992,f34(x1991,a2)) % 0.56/0.96 [202]E(f28(f28(f22(f34(x2021,a2)),x2022),f28(f28(f22(f34(x2021,a2)),x2022),x2023)),f28(f28(f22(f34(x2021,a2)),x2022),x2023)) % 0.56/0.96 [167]E(f28(f6(x1671,x1672,x1673),x1674),x1671) % 0.56/0.96 [192]E(f29(x1921,f29(x1922,x1923,x1924),x1924),f29(x1922,f29(x1921,x1923,x1924),x1924)) % 0.56/0.96 [203]E(f5(f5(x2031,x2032,f34(x2033,a2)),f29(x2034,f4(f34(x2033,a2)),x2033),f34(x2033,a2)),f5(x2031,f29(x2034,x2032,x2033),f34(x2033,a2))) % 0.56/0.96 [208]E(f5(f5(x2081,f29(x2082,f4(f34(x2083,a2)),x2083),f34(x2083,a2)),x2084,f34(x2083,a2)),f5(x2081,f29(x2082,x2084,x2083),f34(x2083,a2))) % 0.56/0.96 [212]E(f5(f28(f28(f22(f34(x2121,a2)),x2122),x2123),f28(f28(f22(f34(x2121,a2)),x2124),x2123),f34(x2121,a2)),f5(f28(f28(f22(f34(x2121,a2)),x2122),x2123),x2124,f34(x2121,a2))) % 0.56/0.96 [218]E(f16(x2181,x2182,f28(x2181,x2182),x2183,x2184),x2181) % 0.56/0.96 [221]P11(f30(x2211,f32(x2211,x2212,x2213,x2214),x2213,x2214),x2212,f34(x2214,a2)) % 0.56/0.96 [228]P8(x2281,x2282,f4(f34(x2283,a2)),x2282,x2283,x2284) % 0.56/0.96 [229]P9(x2291,x2292,f4(f34(x2293,a2)),x2292,x2293,x2294) % 0.56/0.96 [204]E(f5(f28(f28(f22(f34(x2041,a2)),x2042),x2043),x2044,f34(x2041,a2)),f28(f28(f22(f34(x2041,a2)),x2042),f5(x2043,x2044,f34(x2041,a2)))) % 0.56/0.96 [205]P5(f28(x2051,x2052),f30(x2051,f25(f34(x2053,a2)),x2053,x2054),x2054) % 0.56/0.96 [211]E(f5(f28(f28(f22(f34(x2111,a2)),x2112),x2113),f28(f28(f22(f34(x2111,a2)),x2112),x2114),f34(x2111,a2)),f28(f28(f22(f34(x2111,a2)),x2112),f5(x2113,x2114,f34(x2111,a2)))) % 0.56/0.96 [213]P5(x2131,f32(x2132,f29(f28(x2132,x2131),f4(f34(x2133,a2)),x2133),x2134,x2133),x2134) % 0.56/0.96 [214]E(f5(f28(f28(f22(f34(x2141,a2)),x2142),x2143),f28(f28(f22(f34(x2141,a2)),x2144),x2143),f34(x2141,a2)),f28(f28(f22(f34(x2141,a2)),f5(x2142,x2144,f34(x2141,a2))),x2143)) % 0.56/0.96 [220]E(f30(x2201,f32(x2201,x2202,x2203,x2204),x2203,x2204),f28(f28(f22(f34(x2204,a2)),x2202),f30(x2201,f25(f34(x2203,a2)),x2203,x2204))) % 0.56/0.96 [207]E(f28(f28(f22(f34(x2071,a2)),f29(x2072,x2073,x2071)),f29(x2072,x2074,x2071)),f29(x2072,f28(f28(f22(f34(x2071,a2)),x2073),x2074),x2071)) % 0.56/0.96 [209]E(f28(f28(f22(f34(x2091,a2)),x2092),f28(f28(f22(f34(x2091,a2)),x2093),x2094)),f28(f28(f22(f34(x2091,a2)),x2093),f28(f28(f22(f34(x2091,a2)),x2092),x2094))) % 0.56/0.96 [215]E(f28(f28(f22(f34(x2151,a2)),f28(f28(f22(f34(x2151,a2)),x2152),x2153)),x2154),f28(f28(f22(f34(x2151,a2)),x2152),f28(f28(f22(f34(x2151,a2)),x2153),x2154))) % 0.56/0.96 [210]E(f30(x2101,f29(x2102,x2103,x2104),x2104,x2105),f29(f28(x2101,x2102),f30(x2101,x2103,x2104,x2105),x2105)) % 0.56/0.96 [224]E(f28(f16(x2241,x2242,x2243,x2244,x2245),x2242),x2243) % 0.56/0.96 [219]E(f5(f32(x2191,x2192,x2193,x2194),f32(x2191,x2195,x2193,x2194),f34(x2193,a2)),f32(x2191,f5(x2192,x2195,f34(x2194,a2)),x2193,x2194)) % 0.56/0.96 [225]P11(f5(f30(x2251,x2252,x2253,x2254),f30(x2251,x2255,x2253,x2254),f34(x2254,a2)),f30(x2251,f5(x2252,x2255,f34(x2253,a2)),x2253,x2254),f34(x2254,a2)) % 0.56/0.96 [222]E(f28(f28(f22(f34(x2221,a2)),f32(x2222,x2223,x2221,x2224)),f32(x2222,x2225,x2221,x2224)),f32(x2222,f28(f28(f22(f34(x2224,a2)),x2223),x2225),x2221,x2224)) % 0.56/0.96 [226]P11(f30(x2261,f28(f28(f22(f34(x2262,a2)),x2263),x2264),x2262,x2265),f28(f28(f22(f34(x2265,a2)),f30(x2261,x2263,x2262,x2265)),f30(x2261,x2264,x2262,x2265)),f34(x2265,a2)) % 0.56/0.96 [227]E(f16(f16(x2271,x2272,x2273,x2274,x2275),x2272,x2276,x2274,x2275),f16(x2271,x2272,x2276,x2274,x2275)) % 0.56/0.96 [240]~P12(x2402)+P4(x2401,x2402) % 0.56/0.96 [255]~P19(x2552)+P11(x2551,x2551,x2552) % 0.56/0.96 [256]~P20(x2562)+P11(x2561,x2561,x2562) % 0.56/0.96 [266]~P10(x2662,x2662,x2661)+~P1(x2661) % 0.56/0.96 [267]~P10(x2672,x2672,x2671)+~P19(x2671) % 0.56/0.96 [268]~P10(x2682,x2682,x2681)+~P20(x2681) % 0.56/0.96 [242]~P2(x2422)+P2(f34(x2421,x2422)) % 0.56/0.96 [243]~P19(x2432)+P19(f34(x2431,x2432)) % 0.56/0.96 [244]~P20(x2442)+P20(f34(x2441,x2442)) % 0.56/0.96 [245]~P14(x2452)+P13(f34(x2451,x2452)) % 0.56/0.96 [246]~P14(x2462)+P14(f34(x2461,x2462)) % 0.56/0.96 [247]~P15(x2472)+P15(f34(x2471,x2472)) % 0.56/0.96 [248]~P3(x2482)+P3(f34(x2481,x2482)) % 0.56/0.96 [249]~P21(x2492)+P21(f34(x2491,x2492)) % 0.56/0.96 [250]~P16(x2502)+P16(f34(x2501,x2502)) % 0.56/0.96 [257]~P1(x2572)+E(f27(x2571,x2571,x2572),x2571) % 0.56/0.96 [259]~P21(x2592)+P11(x2591,f25(x2592),x2592) % 0.56/0.96 [260]~P16(x2601)+P11(f4(x2601),x2602,x2601) % 0.56/0.96 [258]~P15(x2581)+E(f28(f28(f22(x2581),x2582),f25(x2581)),x2582) % 0.56/0.96 [261]~P15(x2611)+E(f28(f28(f22(x2611),x2612),f4(x2611)),f4(x2611)) % 0.56/0.96 [358]~P11(x3581,f4(f34(x3582,a2)),f34(x3582,a2))+E(x3581,f4(f34(x3582,a2))) % 0.56/0.96 [253]~P1(x2531)+E(f28(f28(f26(x2531),x2532),x2532),x2532) % 0.56/0.96 [254]~P13(x2541)+E(f28(f28(f22(x2541),x2542),x2542),x2542) % 0.56/0.96 [262]~P15(x2621)+E(f28(f28(f22(x2621),f25(x2621)),x2622),x2622) % 0.56/0.96 [264]~P15(x2641)+E(f28(f28(f22(x2641),f4(x2641)),x2642),f4(x2641)) % 0.56/0.96 [489]~P20(x4892)+E(f5(f29(x4891,f4(f34(x4892,a2)),x4892),f31(x4891,x4892),f34(x4892,a2)),f29(x4891,f4(f34(x4892,a2)),x4892)) % 0.56/0.96 [359]~P1(x3592)+E(f17(f29(x3591,f4(f34(x3592,a2)),x3592),x3592),x3591) % 0.56/0.96 [360]~P1(x3602)+E(f19(f29(x3601,f4(f34(x3602,a2)),x3602),x3602),x3601) % 0.56/0.96 [265]E(x2651,x2652)+~P6(x2651,x2652,x2653) % 0.56/0.96 [271]P5(x2711,x2712,x2713)+~P22(f28(x2712,x2711)) % 0.56/0.96 [275]~P1(x2753)+E(f27(x2751,x2752,x2753),f27(x2752,x2751,x2753)) % 0.56/0.96 [276]~P5(x2762,x2761,x2763)+P22(f28(x2761,x2762)) % 0.56/0.96 [289]~P5(x2891,x2892,x2893)+E(f29(x2891,x2892,x2893),x2892) % 0.56/0.96 [290]~P4(x2902,x2903)+P4(f29(x2901,x2902,x2903),x2903) % 0.56/0.96 [320]~P1(x3203)+P11(x3201,f27(x3202,x3201,x3203),x3203) % 0.56/0.96 [321]~P1(x3213)+P11(x3211,f27(x3211,x3212,x3213),x3213) % 0.56/0.96 [342]~P10(x3421,x3422,f34(x3423,a2))+P11(x3421,x3422,f34(x3423,a2)) % 0.56/0.96 [348]P4(x3481,x3482)+~P4(f29(x3483,x3481,x3482),x3482) % 0.56/0.96 [319]~P1(x3191)+E(f28(f28(f26(x3191),x3192),f27(x3192,x3193,x3191)),x3192) % 0.56/0.96 [338]~P4(x3381,x3383)+P4(f5(x3381,x3382,f34(x3383,a2)),x3383) % 0.56/0.96 [356]~P1(x3563)+E(f27(x3561,f27(x3561,x3562,x3563),x3563),f27(x3561,x3562,x3563)) % 0.56/0.96 [495]P5(x4951,x4952,x4953)+E(f5(f29(x4951,x4952,x4953),f29(x4951,f4(f34(x4953,a2)),x4953),f34(x4953,a2)),x4952) % 0.56/0.96 [272]~P1(x2721)+E(f28(f28(f26(x2721),x2722),x2723),f28(f28(f26(x2721),x2723),x2722)) % 0.56/0.96 [273]~P13(x2731)+E(f28(f28(f22(x2731),x2732),x2733),f28(f28(f22(x2731),x2733),x2732)) % 0.56/0.96 [274]~P14(x2741)+E(f28(f28(f22(x2741),x2742),x2743),f28(f28(f22(x2741),x2743),x2742)) % 0.56/0.96 [312]~P1(x3121)+P11(f28(f28(f26(x3121),x3122),x3123),x3123,x3121) % 0.56/0.96 [313]~P1(x3131)+P11(f28(f28(f26(x3131),x3132),x3133),x3132,x3131) % 0.56/0.96 [314]~P13(x3141)+P11(f28(f28(f22(x3141),x3142),x3143),x3143,x3141) % 0.56/0.96 [315]~P14(x3151)+P11(f28(f28(f22(x3151),x3152),x3153),x3153,x3151) % 0.56/0.96 [316]~P13(x3161)+P11(f28(f28(f22(x3161),x3162),x3163),x3162,x3161) % 0.56/0.96 [317]~P14(x3171)+P11(f28(f28(f22(x3171),x3172),x3173),x3172,x3171) % 0.56/0.96 [448]E(x4481,x4482)+~E(f29(x4481,f4(f34(x4483,a2)),x4483),f29(x4482,f4(f34(x4483,a2)),x4483)) % 0.56/0.96 [485]E(x4851,x4852)+~P5(x4851,f29(x4852,f4(f34(x4853,a2)),x4853),x4853) % 0.56/0.96 [540]~P5(x5401,x5402,x5403)+E(f29(x5401,f5(x5402,f29(x5401,f4(f34(x5403,a2)),x5403),f34(x5403,a2)),x5403),x5402) % 0.56/0.96 [318]~P1(x3182)+E(f27(x3181,f28(f28(f26(x3182),x3181),x3183),x3182),x3181) % 0.56/0.96 [350]~P1(x3501)+E(f28(f28(f26(x3501),x3502),f28(f28(f26(x3501),x3502),x3503)),f28(f28(f26(x3501),x3502),x3503)) % 0.56/0.96 [351]~P13(x3511)+E(f28(f28(f22(x3511),x3512),f28(f28(f22(x3511),x3512),x3513)),f28(f28(f22(x3511),x3512),x3513)) % 0.56/0.96 [352]~P14(x3521)+E(f28(f28(f22(x3521),x3522),f28(f28(f22(x3521),x3522),x3523)),f28(f28(f22(x3521),x3522),x3523)) % 0.56/0.96 [405]~P11(x4053,x4052,f34(x4051,a2))+E(f28(f28(f22(f34(x4051,a2)),x4052),x4053),x4053) % 0.56/0.96 [406]~P11(x4062,x4063,f34(x4061,a2))+E(f28(f28(f22(f34(x4061,a2)),x4062),x4063),x4062) % 0.56/0.96 [444]~P4(x4443,x4441)+P4(f28(f28(f22(f34(x4441,a2)),x4442),x4443),x4441) % 0.56/0.96 [445]~P4(x4452,x4451)+P4(f28(f28(f22(f34(x4451,a2)),x4452),x4453),x4451) % 0.56/0.96 [461]E(f5(x4611,x4612,f34(x4613,a2)),x4611)+~E(f28(f28(f22(f34(x4613,a2)),x4611),x4612),f4(f34(x4613,a2))) % 0.56/0.96 [374]~P5(x3741,x3743,x3744)+P5(x3741,f29(x3742,x3743,x3744),x3744) % 0.56/0.96 [415]~P11(x4151,x4153,f34(x4154,a2))+P11(x4151,f29(x4152,x4153,x4154),f34(x4154,a2)) % 0.56/0.96 [460]P5(x4601,x4602,x4603)+~P11(f29(x4601,x4604,x4603),x4602,f34(x4603,a2)) % 0.56/0.96 [469]~P11(f29(x4694,x4691,x4693),x4692,f34(x4693,a2))+P11(x4691,x4692,f34(x4693,a2)) % 0.56/0.96 [479]~P11(x4792,x4794,f34(x4793,a2))+P11(f29(x4791,x4792,x4793),f29(x4791,x4794,x4793),f34(x4793,a2)) % 0.56/0.96 [508]~P4(x5082,x5083)+P4(f30(x5081,x5082,x5083,x5084),x5084) % 0.56/0.96 [598]~P7(x5982,x5981,x5983,x5984)+P7(f21(x5981,x5982,x5983,x5984),f30(x5982,x5981,x5983,x5984),x5984,x5983) % 0.56/0.96 [410]~P22(f28(x4102,x4104))+P22(f28(f29(x4101,x4102,x4103),x4104)) % 0.56/0.96 [446]~P1(x4464)+E(f27(x4461,f27(x4462,x4463,x4464),x4464),f27(x4462,f27(x4461,x4463,x4464),x4464)) % 0.56/0.96 [447]~P1(x4473)+E(f27(f27(x4471,x4472,x4473),x4474,x4473),f27(x4471,f27(x4472,x4474,x4473),x4473)) % 0.56/0.96 [462]~P5(x4621,x4624,x4623)+E(f5(f29(x4621,x4622,x4623),x4624,f34(x4623,a2)),f5(x4622,x4624,f34(x4623,a2))) % 0.56/0.96 [473]P5(x4731,x4732,x4733)+~P5(x4731,f5(x4732,x4734,f34(x4733,a2)),x4733) % 0.56/0.96 [478]~P5(x4781,x4782,x4783)+~P5(x4781,f5(x4784,x4782,f34(x4783,a2)),x4783) % 0.56/0.96 [490]P5(x4901,x4904,x4902)+E(f32(f6(x4901,x4902,x4903),x4904,x4903,x4902),f4(f34(x4903,a2))) % 0.56/0.96 [491]~P18(x4913)+E(f27(f5(x4911,x4912,x4913),f5(x4914,x4912,x4913),x4913),f5(f27(x4911,x4914,x4913),x4912,x4913)) % 0.56/0.96 [498]~E(f30(x4983,x4981,x4982,x4984),f4(f34(x4984,a2)))+E(x4981,f4(f34(x4982,a2))) % 0.56/0.96 [499]~P5(x4991,x4994,x4992)+E(f32(f6(x4991,x4992,x4993),x4994,x4993,x4992),f25(f34(x4993,a2))) % 0.56/0.96 [527]~P4(f5(x5271,x5273,f34(x5274,a2)),x5274)+P4(f5(x5271,f29(x5272,x5273,x5274),f34(x5274,a2)),x5274) % 0.56/0.96 [542]~P4(f5(x5421,f29(x5424,x5422,x5423),f34(x5423,a2)),x5423)+P4(f5(x5421,x5422,f34(x5423,a2)),x5423) % 0.56/0.96 [554]~P7(x5541,x5542,x5543,x5544)+E(f18(f30(x5541,x5542,x5543,x5544),x5544),f18(x5542,x5543)) % 0.56/0.96 [570]~P7(x5702,f25(f34(x5701,a2)),x5701,x5703)+E(f28(f21(f25(f34(x5701,a2)),x5702,x5701,x5703),f28(x5702,x5704)),x5704) % 0.56/0.96 [572]~P7(x5722,f25(f34(x5721,a2)),x5721,x5723)+E(f28(f24(f25(f34(x5721,a2)),x5722,x5721,x5723),f28(x5722,x5724)),x5724) % 0.56/0.96 [583]~P7(x5831,f25(f34(x5833,a2)),x5833,x5834)+E(f32(x5831,f30(x5831,x5832,x5833,x5834),x5833,x5834),x5832) % 0.56/0.96 [599]~P7(x5992,x5991,x5993,x5994)+E(f30(f21(x5991,x5992,x5993,x5994),f30(x5992,x5991,x5993,x5994),x5994,x5993),x5991) % 0.56/0.96 [605]~P7(x6052,f25(f34(x6051,a2)),x6051,x6053)+E(f30(f24(f25(f34(x6051,a2)),x6052,x6051,x6053),f30(x6052,x6054,x6051,x6053),x6053,x6051),x6054) % 0.56/0.96 [493]P5(x4931,x4934,x4933)+E(f5(f29(x4931,x4932,x4933),x4934,f34(x4933,a2)),f29(x4931,f5(x4932,x4934,f34(x4933,a2)),x4933)) % 0.56/0.96 [503]E(x5031,f4(f34(x5032,a2)))+E(f30(f6(x5033,x5034,x5032),x5031,x5032,x5034),f29(x5033,f4(f34(x5034,a2)),x5034)) % 0.56/0.96 [574]P5(x5743,x5742,x5744)+E(f20(x5741,f5(x5742,f29(x5743,f4(f34(x5744,a2)),x5744),f34(x5744,a2)),x5744,a1),f20(x5741,x5742,x5744,a1)) % 0.56/0.96 [427]~P1(x4271)+E(f28(f28(f26(x4271),x4272),f28(f28(f26(x4271),x4273),x4274)),f28(f28(f26(x4271),x4273),f28(f28(f26(x4271),x4272),x4274))) % 0.56/0.96 [428]~P13(x4281)+E(f28(f28(f22(x4281),x4282),f28(f28(f22(x4281),x4283),x4284)),f28(f28(f22(x4281),x4283),f28(f28(f22(x4281),x4282),x4284))) % 0.56/0.96 [429]~P14(x4291)+E(f28(f28(f22(x4291),x4292),f28(f28(f22(x4291),x4293),x4294)),f28(f28(f22(x4291),x4293),f28(f28(f22(x4291),x4292),x4294))) % 0.56/0.96 [488]~P1(x4881)+E(f27(f28(f28(f26(x4881),x4882),x4883),f28(f28(f26(x4881),x4882),x4884),x4881),f28(f28(f26(x4881),x4882),f27(x4883,x4884,x4881))) % 0.56/0.96 [494]P5(x4943,x4942,x4941)+E(f28(f28(f22(f34(x4941,a2)),x4942),f29(x4943,x4944,x4941)),f28(f28(f22(f34(x4941,a2)),x4942),x4944)) % 0.56/0.96 [509]~P1(x5091)+E(f27(f28(f28(f26(x5091),x5092),x5093),f28(f28(f26(x5091),x5094),x5093),x5091),f28(f28(f26(x5091),f27(x5092,x5094,x5091)),x5093)) % 0.56/0.96 [510]~P1(x5101)+E(f28(f28(f26(x5101),f27(x5102,x5103,x5101)),f27(x5102,x5104,x5101)),f27(x5102,f28(f28(f26(x5101),x5103),x5104),x5101)) % 0.56/0.96 [511]~P1(x5111)+E(f28(f28(f26(x5111),f27(x5112,x5113,x5111)),f27(x5114,x5113,x5111)),f27(f28(f28(f26(x5111),x5112),x5114),x5113,x5111)) % 0.56/0.96 [512]~P18(x5121)+E(f28(f28(f26(x5121),f5(x5122,x5123,x5121)),f5(x5124,x5123,x5121)),f5(f28(f28(f26(x5121),x5122),x5124),x5123,x5121)) % 0.56/0.96 [515]P5(x5152,x5154,x5151)+E(f28(f28(f22(f34(x5151,a2)),f29(x5152,x5153,x5151)),x5154),f28(f28(f22(f34(x5151,a2)),x5153),x5154)) % 0.56/0.96 [517]P5(x5171,x5172,x5173)+~P5(x5171,f28(f28(f22(f34(x5173,a2)),x5174),x5172),x5173) % 0.56/0.96 [518]P5(x5181,x5182,x5183)+~P5(x5181,f28(f28(f22(f34(x5183,a2)),x5182),x5184),x5183) % 0.56/0.96 [528]P11(x5281,x5282,f34(x5283,a2))+~P11(x5281,f28(f28(f22(f34(x5283,a2)),x5284),x5282),f34(x5283,a2)) % 0.56/0.96 [529]P11(x5291,x5292,f34(x5293,a2))+~P11(x5291,f28(f28(f22(f34(x5293,a2)),x5292),x5294),f34(x5293,a2)) % 0.56/0.96 [552]~P1(x5521)+P11(f27(f28(f28(f26(x5521),x5522),x5523),f28(f28(f26(x5521),x5522),x5524),x5521),f28(f28(f26(x5521),x5522),f27(x5523,x5524,x5521)),x5521) % 0.56/0.96 [573]~P1(x5732)+P11(f27(x5731,f28(f28(f26(x5732),x5733),x5734),x5732),f28(f28(f26(x5732),f27(x5731,x5733,x5732)),f27(x5731,x5734,x5732)),x5732) % 0.56/0.96 [482]~P1(x4821)+E(f28(f28(f26(x4821),f28(f28(f26(x4821),x4822),x4823)),x4824),f28(f28(f26(x4821),x4822),f28(f28(f26(x4821),x4823),x4824))) % 0.56/0.96 [483]~P13(x4831)+E(f28(f28(f22(x4831),f28(f28(f22(x4831),x4832),x4833)),x4834),f28(f28(f22(x4831),x4832),f28(f28(f22(x4831),x4833),x4834))) % 0.56/0.96 [484]~P14(x4841)+E(f28(f28(f22(x4841),f28(f28(f22(x4841),x4842),x4843)),x4844),f28(f28(f22(x4841),x4842),f28(f28(f22(x4841),x4843),x4844))) % 0.56/0.96 [537]~P5(x5371,x5373,x5372)+E(f29(x5371,f28(f28(f22(f34(x5372,a2)),x5373),x5374),x5372),f28(f28(f22(f34(x5372,a2)),x5373),f29(x5371,x5374,x5372))) % 0.56/0.96 [543]~P5(x5431,x5434,x5432)+E(f29(x5431,f28(f28(f22(f34(x5432,a2)),x5433),x5434),x5432),f28(f28(f22(f34(x5432,a2)),f29(x5431,x5433,x5432)),x5434)) % 0.56/0.96 [559]P22(f28(x5591,x5592))+~P22(f28(f28(f28(f22(f34(x5593,a2)),x5594),x5591),x5592)) % 0.56/0.96 [560]P22(f28(x5601,x5602))+~P22(f28(f28(f28(f22(f34(x5603,a2)),x5601),x5604),x5602)) % 0.56/0.96 [533]~P5(x5332,x5333,x5334)+P5(f28(x5331,x5332),f30(x5331,x5333,x5334,x5335),x5335) % 0.56/0.96 [536]~P5(f28(x5362,x5361),x5363,x5365)+P5(x5361,f32(x5362,x5363,x5364,x5365),x5364) % 0.56/0.96 [545]P7(x5451,x5452,x5453,x5454)+~P7(x5451,f29(x5455,x5452,x5453),x5453,x5454) % 0.56/0.96 [558]~P5(x5582,f32(x5581,x5583,x5585,x5584),x5585)+P5(f28(x5581,x5582),x5583,x5584) % 0.56/0.96 [579]~P11(x5792,x5795,f34(x5794,a2))+P11(f32(x5791,x5792,x5793,x5794),f32(x5791,x5795,x5793,x5794),f34(x5793,a2)) % 0.56/0.96 [581]~P11(x5812,x5815,f34(x5813,a2))+P11(f30(x5811,x5812,x5813,x5814),f30(x5811,x5815,x5813,x5814),f34(x5814,a2)) % 0.56/0.96 [600]P7(f24(x6001,x6002,x6003,x6004),x6005,x6004,x6003)+~P11(x6005,f30(x6002,x6001,x6003,x6004),f34(x6004,a2)) % 0.56/0.96 [607]~E(f16(x6071,x6072,x6073,x6074,x6075),x6071)+E(f28(x6071,x6072),x6073) % 0.56/0.96 [624]P5(f12(x6241,x6242,x6243,x6244,x6245),x6241,x6244)+P11(f30(x6243,x6241,x6244,x6245),x6242,f34(x6245,a2)) % 0.56/0.96 [625]P5(f15(x6251,x6252,x6253,x6254,x6255),x6251,x6254)+P11(f30(x6253,x6251,x6254,x6255),x6252,f34(x6255,a2)) % 0.56/0.96 [544]~P7(x5441,x5442,x5444,x5445)+P7(x5441,f5(x5442,x5443,f34(x5444,a2)),x5444,x5445) % 0.56/0.96 [553]~P5(x5532,x5533,x5534)+E(f29(f28(x5531,x5532),f30(x5531,x5533,x5534,x5535),x5535),f30(x5531,x5533,x5534,x5535)) % 0.56/0.96 [576]~P22(f28(x5762,f28(x5761,x5765)))+P22(f28(f32(x5761,x5762,x5763,x5764),x5765)) % 0.56/0.96 [602]P22(f28(x6021,f28(x6022,x6023)))+~P22(f28(f32(x6022,x6021,x6024,x6025),x6023)) % 0.56/0.96 [608]~P5(x6085,f30(x6082,x6081,x6083,x6084),x6084)+P5(f28(f24(x6081,x6082,x6083,x6084),x6085),x6081,x6083) % 0.56/0.96 [638]P11(f30(x6381,x6382,x6383,x6384),x6385,f34(x6384,a2))+~P5(f28(x6381,f12(x6382,x6385,x6381,x6383,x6384)),x6385,x6384) % 0.56/0.96 [639]P11(f30(x6391,x6392,x6393,x6394),x6395,f34(x6394,a2))+~P5(f28(x6391,f15(x6392,x6395,x6391,x6393,x6394)),x6395,x6394) % 0.56/0.96 [641]E(x6411,x6412)+~P8(x6413,x6412,f4(f34(x6414,a2)),x6411,x6414,x6415) % 0.56/0.96 [513]~P5(x5135,x5134,x5133)+E(f30(f6(x5131,x5132,x5133),x5134,x5133,x5132),f29(x5131,f4(f34(x5132,a2)),x5132)) % 0.56/0.97 [606]~P5(x6065,f30(x6061,x6062,x6063,x6064),x6064)+E(f28(x6061,f28(f24(x6062,x6061,x6063,x6064),x6065)),x6065) % 0.56/0.97 [609]~P7(x6091,f25(f34(x6093,a2)),x6093,x6094)+E(f5(f30(x6091,x6092,x6093,x6094),f30(x6091,x6095,x6093,x6094),f34(x6094,a2)),f30(x6091,f5(x6092,x6095,f34(x6093,a2)),x6093,x6094)) % 0.56/0.97 [626]~P7(x6261,f29(x6262,x6263,x6264),x6264,x6265)+~P5(f28(x6261,x6262),f30(x6261,f5(x6263,f29(x6262,f4(f34(x6264,a2)),x6264),f34(x6264,a2)),x6264,x6265),x6265) % 0.56/0.97 [595]E(f28(x5951,x5952),x5953)+~P5(x5952,f32(x5951,f29(x5953,f4(f34(x5954,a2)),x5954),x5955,x5954),x5955) % 0.56/0.97 [619]~P7(x6192,f25(f34(x6194,a2)),x6194,x6191)+E(f28(f28(f22(f34(x6191,a2)),f30(x6192,x6193,x6194,x6191)),f30(x6192,x6195,x6194,x6191)),f30(x6192,f28(f28(f22(f34(x6194,a2)),x6193),x6195),x6194,x6191)) % 0.56/0.97 [640]P4(x6401,x6402)+~P8(x6403,x6404,x6401,x6405,x6402,x6406) % 0.56/0.97 [616]E(x6161,x6162)+E(f28(f16(x6163,x6161,x6164,x6165,x6166),x6162),f28(x6163,x6162)) % 0.56/0.97 [623]P5(x6232,x6236,x6234)+E(f30(f16(x6231,x6232,x6233,x6234,x6235),x6236,x6234,x6235),f30(x6231,x6236,x6234,x6235)) % 0.56/0.97 [636]~P5(x6364,x6363,x6365)+E(f29(x6361,f30(x6362,f5(x6363,f29(x6364,f4(f34(x6365,a2)),x6365),f34(x6365,a2)),x6365,x6366),x6366),f30(f16(x6362,x6364,x6361,x6365,x6366),x6363,x6365,x6366)) % 0.56/0.97 [637]E(x6371,x6372)+E(f16(f16(x6373,x6371,x6374,x6375,x6376),x6372,x6377,x6375,x6376),f16(f16(x6373,x6372,x6377,x6375,x6376),x6371,x6374,x6375,x6376)) % 0.56/0.97 [241]~P1(x2411)+~P13(x2411)+E(f26(x2411),f22(x2411)) % 0.56/0.97 [251]~P12(x2512)+~P12(x2511)+P12(f34(x2511,x2512)) % 0.56/0.97 [396]E(x3961,f25(f34(x3962,a2)))+~P4(f25(f34(x3962,a2)),x3962)+~E(f18(x3961,x3962),f18(f25(f34(x3962,a2)),x3962)) % 0.56/0.97 [279]P11(x2792,x2791,x2793)+~P1(x2793)+P10(x2791,x2792,x2793) % 0.56/0.97 [281]P11(x2812,x2811,x2813)+~P1(x2813)+P11(x2811,x2812,x2813) % 0.56/0.97 [297]~P19(x2973)+~P10(x2971,x2972,x2973)+P11(x2971,x2972,x2973) % 0.56/0.97 [298]~P20(x2983)+~P10(x2981,x2982,x2983)+P11(x2981,x2982,x2983) % 0.56/0.97 [323]~P10(x3233,x3232,x3231)+~P1(x3231)+~P10(x3232,x3233,x3231) % 0.56/0.97 [325]~P11(x3253,x3252,x3251)+~P1(x3251)+~P10(x3252,x3253,x3251) % 0.56/0.97 [328]~P10(x3283,x3282,x3281)+~P19(x3281)+~P10(x3282,x3283,x3281) % 0.56/0.97 [329]~P11(x3293,x3292,x3291)+~P19(x3291)+~P10(x3292,x3293,x3291) % 0.56/0.97 [330]~P10(x3303,x3302,x3301)+~P20(x3301)+~P10(x3302,x3303,x3301) % 0.56/0.97 [252]~P1(x2523)+E(x2521,x2522)+~E(f31(x2521,x2523),f31(x2522,x2523)) % 0.56/0.97 [299]~P1(x2993)+~P11(x2991,x2992,x2993)+E(f27(x2991,x2992,x2993),x2992) % 0.56/0.97 [300]~P1(x3003)+~P11(x3002,x3001,x3003)+E(f27(x3001,x3002,x3003),x3001) % 0.56/0.97 [301]~P1(x3013)+P11(x3011,x3012,x3013)+~E(f27(x3011,x3012,x3013),x3012) % 0.56/0.97 [311]P4(x3111,x3112)+~P4(x3113,x3112)+~P11(x3111,x3113,f34(x3112,a2)) % 0.56/0.97 [322]~P2(x3223)+~P10(x3221,x3222,x3223)+P5(x3221,f31(x3222,x3223),x3223) % 0.56/0.97 [337]~P2(x3373)+P10(x3371,x3372,x3373)+~P5(x3371,f31(x3372,x3373),x3373) % 0.56/0.97 [346]E(x3461,x3462)+~P11(x3461,x3462,f34(x3463,a2))+P10(x3461,x3462,f34(x3463,a2)) % 0.56/0.97 [354]~P3(x3543)+~P11(x3541,f28(x3542,x3541),x3543)+P11(x3541,f23(x3542,x3543),x3543) % 0.56/0.97 [357]~P1(x3572)+~P11(x3571,x3573,x3572)+P11(f31(x3571,x3572),f31(x3573,x3572),f34(x3572,a2)) % 0.56/0.97 [372]E(x3721,x3722)+~P11(x3721,x3722,f34(x3723,a2))+~P11(x3722,x3721,f34(x3723,a2)) % 0.56/0.97 [404]~P1(x4043)+P11(x4041,x4042,x4043)+~P11(f31(x4041,x4043),f31(x4042,x4043),f34(x4043,a2)) % 0.56/0.97 [578]~P4(x5782,x5783)+P7(x5781,x5782,x5783,x5783)+~P11(x5782,f30(x5781,x5782,x5783,x5783),f34(x5783,a2)) % 0.56/0.97 [370]~P4(x3702,x3703)+~P5(x3701,x3702,x3703)+E(f18(f29(x3701,x3702,x3703),x3703),f18(x3702,x3703)) % 0.56/0.97 [414]P4(x4141,x4142)+~P4(x4143,x4142)+~P4(f5(x4141,x4143,f34(x4142,a2)),x4142) % 0.56/0.97 [269]~P15(x2692)+E(x2691,f25(x2692))+~E(f28(f28(f22(x2692),x2693),x2691),f25(x2692)) % 0.56/0.97 [270]~P15(x2702)+E(x2701,f25(x2702))+~E(f28(f28(f22(x2702),x2701),x2703),f25(x2702)) % 0.56/0.97 [291]~P1(x2913)+P11(x2911,x2912,x2913)+~E(f28(f28(f26(x2913),x2911),x2912),x2911) % 0.56/0.97 [292]~P13(x2923)+P11(x2921,x2922,x2923)+~E(f28(f28(f22(x2923),x2921),x2922),x2921) % 0.56/0.97 [293]~P1(x2931)+~P11(x2933,x2932,x2931)+E(f28(f28(f26(x2931),x2932),x2933),x2933) % 0.56/0.97 [294]~P1(x2941)+~P11(x2942,x2943,x2941)+E(f28(f28(f26(x2941),x2942),x2943),x2942) % 0.56/0.97 [295]~P13(x2951)+~P11(x2953,x2952,x2951)+E(f28(f28(f22(x2951),x2952),x2953),x2953) % 0.56/0.97 [296]~P13(x2961)+~P11(x2962,x2963,x2961)+E(f28(f28(f22(x2961),x2962),x2963),x2962) % 0.56/0.97 [516]~P11(x5161,f29(x5163,f4(f34(x5162,a2)),x5162),f34(x5162,a2))+E(x5161,f4(f34(x5162,a2)))+E(x5161,f29(x5163,f4(f34(x5162,a2)),x5162)) % 0.56/0.97 [538]P5(x5382,x5381,x5383)+~P4(x5381,x5383)+E(f18(f5(x5381,f29(x5382,f4(f34(x5383,a2)),x5383),f34(x5383,a2)),x5383),f18(x5381,x5383)) % 0.56/0.97 [331]~P17(x3314)+E(x3311,x3312)+~E(f5(x3313,x3313,x3314),f5(x3311,x3312,x3314)) % 0.56/0.97 [332]~P17(x3323)+E(x3321,x3322)+~E(f5(x3321,x3322,x3323),f5(x3324,x3324,x3323)) % 0.56/0.97 [344]~P11(x3443,x3441,f34(x3444,a2))+P22(f28(x3441,x3442))+~P22(f28(x3443,x3442)) % 0.56/0.97 [353]~P2(x3534)+P11(x3531,x3532,f34(x3533,x3534))+~P10(x3531,x3532,f34(x3533,x3534)) % 0.56/0.97 [388]~P1(x3884)+~P10(x3881,x3883,x3884)+P10(x3881,f27(x3882,x3883,x3884),x3884) % 0.56/0.97 [390]~P1(x3904)+~P10(x3901,x3902,x3904)+P10(x3901,f27(x3902,x3903,x3904),x3904) % 0.56/0.97 [392]~P1(x3924)+~P11(x3921,x3923,x3924)+P11(x3921,f27(x3922,x3923,x3924),x3924) % 0.56/0.97 [394]~P1(x3944)+~P11(x3941,x3942,x3944)+P11(x3941,f27(x3942,x3943,x3944),x3944) % 0.56/0.97 [398]~P2(x3981)+~P10(x3982,x3983,f34(x3984,x3981))+~P11(x3983,x3982,f34(x3984,x3981)) % 0.56/0.97 [399]P5(x3991,x3992,x3993)+~P5(x3991,x3994,x3993)+~P10(x3994,x3992,f34(x3993,a2)) % 0.56/0.97 [403]P5(x4031,x4032,x4033)+~P5(x4031,x4034,x4033)+~P11(x4034,x4032,f34(x4033,a2)) % 0.56/0.97 [426]E(x4261,x4262)+P5(x4261,x4263,x4264)+~P5(x4261,f29(x4262,x4263,x4264),x4264) % 0.56/0.97 [430]~P1(x4303)+P10(x4301,x4302,x4303)+~P10(f27(x4304,x4301,x4303),x4302,x4303) % 0.56/0.97 [431]~P1(x4313)+P10(x4311,x4312,x4313)+~P10(f27(x4311,x4314,x4313),x4312,x4313) % 0.56/0.97 [433]~P1(x4333)+P11(x4331,x4332,x4333)+~P11(f27(x4334,x4331,x4333),x4332,x4333) % 0.56/0.97 [435]~P1(x4353)+P11(x4351,x4352,x4353)+~P11(f27(x4351,x4354,x4353),x4352,x4353) % 0.56/0.97 [440]~P10(x4401,x4404,f34(x4403,a2))+~P10(x4404,x4402,f34(x4403,a2))+P10(x4401,x4402,f34(x4403,a2)) % 0.56/0.97 [441]~P11(x4411,x4414,f34(x4413,a2))+~P10(x4414,x4412,f34(x4413,a2))+P10(x4411,x4412,f34(x4413,a2)) % 0.56/0.97 [442]~P11(x4424,x4422,f34(x4423,a2))+~P10(x4421,x4424,f34(x4423,a2))+P10(x4421,x4422,f34(x4423,a2)) % 0.56/0.97 [443]~P11(x4431,x4434,f34(x4433,a2))+~P11(x4434,x4432,f34(x4433,a2))+P11(x4431,x4432,f34(x4433,a2)) % 0.56/0.97 [476]~P5(x4762,x4763,x4764)+~P10(x4761,x4763,f34(x4764,a2))+P10(x4761,f29(x4762,x4763,x4764),f34(x4764,a2)) % 0.56/0.97 [477]~P5(x4771,x4774,x4773)+~P11(x4772,x4774,f34(x4773,a2))+P11(f29(x4771,x4772,x4773),x4774,f34(x4773,a2)) % 0.56/0.97 [487]P5(x4871,x4872,x4873)+~P11(x4872,f29(x4871,x4874,x4873),f34(x4873,a2))+P11(x4872,x4874,f34(x4873,a2)) % 0.56/0.97 [496]~P5(x4964,x4962,x4963)+~P10(x4961,f29(x4964,x4962,x4963),f34(x4963,a2))+P10(x4961,x4962,f34(x4963,a2)) % 0.56/0.97 [582]P4(x5821,x5822)+~P7(x5823,x5821,x5822,x5824)+~P4(f30(x5823,x5821,x5822,x5824),x5824) % 0.56/0.97 [464]~P5(x4641,x4644,x4643)+P5(x4641,x4642,x4643)+P5(x4641,f5(x4644,x4642,f34(x4643,a2)),x4643) % 0.56/0.97 [472]~P5(x4721,x4724,x4723)+~P11(x4724,f28(x4722,x4724),f34(x4723,a2))+P5(x4721,f23(x4722,f34(x4723,a2)),x4723) % 0.56/0.97 [480]E(x4801,x4802)+P22(f28(x4803,x4801))+~P22(f28(f29(x4802,x4803,x4804),x4801)) % 0.56/0.97 [500]~P11(x5001,x5002,f34(x5004,a2))+~P11(x5003,x5001,f34(x5004,a2))+E(f5(x5001,f5(x5002,x5003,f34(x5004,a2)),f34(x5004,a2)),x5003) % 0.56/0.97 [561]~P4(x5612,x5614)+P4(f32(x5611,x5612,x5613,x5614),x5613)+~P7(x5611,f25(f34(x5613,a2)),x5613,x5614) % 0.56/0.97 [566]~P5(x5662,x5661,x5663)+~P11(x5661,f29(x5662,x5664,x5663),f34(x5663,a2))+P11(f5(x5661,f29(x5662,f4(f34(x5663,a2)),x5663),f34(x5663,a2)),x5664,f34(x5663,a2)) % 0.56/0.97 [569]~P4(x5692,x5693)+P7(x5691,x5692,x5693,x5694)+~E(f18(f30(x5691,x5692,x5693,x5694),x5694),f18(x5692,x5693)) % 0.56/0.97 [586]~P5(x5862,x5861,x5864)+P11(x5861,f29(x5862,x5863,x5864),f34(x5864,a2))+~P11(f5(x5861,f29(x5862,f4(f34(x5864,a2)),x5864),f34(x5864,a2)),x5863,f34(x5864,a2)) % 0.56/0.97 [376]~P1(x3761)+~P10(x3763,x3764,x3761)+P10(f28(f28(f26(x3761),x3762),x3763),x3764,x3761) % 0.56/0.97 [378]~P1(x3781)+~P10(x3782,x3784,x3781)+P10(f28(f28(f26(x3781),x3782),x3783),x3784,x3781) % 0.56/0.97 [379]~P13(x3791)+~P10(x3793,x3794,x3791)+P10(f28(f28(f22(x3791),x3792),x3793),x3794,x3791) % 0.56/0.97 [380]~P13(x3801)+~P10(x3802,x3804,x3801)+P10(f28(f28(f22(x3801),x3802),x3803),x3804,x3801) % 0.56/0.97 [382]~P1(x3821)+~P11(x3823,x3824,x3821)+P11(f28(f28(f26(x3821),x3822),x3823),x3824,x3821) % 0.56/0.97 [384]~P1(x3841)+~P11(x3842,x3844,x3841)+P11(f28(f28(f26(x3841),x3842),x3843),x3844,x3841) % 0.56/0.97 [385]~P13(x3851)+~P11(x3853,x3854,x3851)+P11(f28(f28(f22(x3851),x3852),x3853),x3854,x3851) % 0.56/0.97 [386]~P13(x3861)+~P11(x3862,x3864,x3861)+P11(f28(f28(f22(x3861),x3862),x3863),x3864,x3861) % 0.56/0.97 [416]~P1(x4163)+P10(x4161,x4162,x4163)+~P10(x4161,f28(f28(f26(x4163),x4164),x4162),x4163) % 0.56/0.97 [417]~P1(x4173)+P10(x4171,x4172,x4173)+~P10(x4171,f28(f28(f26(x4173),x4172),x4174),x4173) % 0.56/0.97 [419]~P1(x4193)+P11(x4191,x4192,x4193)+~P11(x4191,f28(f28(f26(x4193),x4194),x4192),x4193) % 0.56/0.97 [421]~P1(x4213)+P11(x4211,x4212,x4213)+~P11(x4211,f28(f28(f26(x4213),x4212),x4214),x4213) % 0.56/0.97 [423]~P13(x4233)+P11(x4231,x4232,x4233)+~P11(x4231,f28(f28(f22(x4233),x4234),x4232),x4233) % 0.56/0.97 [425]~P13(x4253)+P11(x4251,x4252,x4253)+~P11(x4251,f28(f28(f22(x4253),x4252),x4254),x4253) % 0.56/0.97 [492]~P5(x4924,x4923,x4921)+~P5(x4924,x4922,x4921)+~E(f28(f28(f22(f34(x4921,a2)),x4922),x4923),f4(f34(x4921,a2))) % 0.56/0.97 [506]~P5(x5061,x5064,x5062)+~P5(x5061,x5063,x5062)+P5(x5061,f28(f28(f22(f34(x5062,a2)),x5063),x5064),x5062) % 0.56/0.97 [520]~P11(x5201,x5203,f34(x5202,a2))+~P11(x5201,x5204,f34(x5202,a2))+P11(x5201,f28(f28(f22(f34(x5202,a2)),x5203),x5204),f34(x5202,a2)) % 0.56/0.97 [539]~P22(f28(x5393,x5394))+~P22(f28(x5392,x5394))+P22(f28(f28(f28(f22(f34(x5391,a2)),x5392),x5393),x5394)) % 0.56/0.97 [369]~P2(x3694)+P11(f28(x3691,x3692),f28(x3693,x3692),x3694)+~P11(x3691,x3693,f34(x3695,x3694)) % 0.56/0.97 [541]P7(x5411,x5412,x5413,x5414)+~P7(x5411,x5415,x5413,x5414)+~P11(x5412,x5415,f34(x5413,a2)) % 0.56/0.97 [556]P4(x5561,x5562)+~P4(x5563,x5564)+~P11(x5561,f30(x5565,x5563,x5564,x5562),f34(x5562,a2)) % 0.56/0.97 [628]~P4(x6282,x6285)+~P11(x6282,f30(x6283,x6281,x6284,x6285),f34(x6285,a2))+P4(f10(x6281,x6282,x6283,x6284,x6285),x6284) % 0.56/0.97 [629]~P4(x6292,x6295)+~P11(x6292,f30(x6293,x6291,x6294,x6295),f34(x6295,a2))+P11(f10(x6291,x6292,x6293,x6294,x6295),x6291,f34(x6294,a2)) % 0.56/0.97 [507]E(x5071,x5072)+~E(f28(x5073,x5071),f28(x5073,x5072))+~P7(x5073,f25(f34(x5074,a2)),x5074,x5075) % 0.56/0.97 [525]~P11(x5251,x5254,f34(x5253,a2))+~P11(x5255,x5252,f34(x5253,a2))+P11(f5(x5251,x5252,f34(x5253,a2)),f5(x5254,x5255,f34(x5253,a2)),f34(x5253,a2)) % 0.56/0.97 [563]~P5(x5635,x5631,x5633)+~P7(x5632,x5631,x5633,x5634)+E(f28(f21(x5631,x5632,x5633,x5634),f28(x5632,x5635)),x5635) % 0.56/0.97 [565]~P5(x5655,x5651,x5653)+~P7(x5652,x5651,x5653,x5654)+E(f28(f24(x5651,x5652,x5653,x5654),f28(x5652,x5655)),x5655) % 0.56/0.97 [584]E(x5841,x5842)+~E(f30(x5843,x5841,x5844,x5845),f30(x5843,x5842,x5844,x5845))+~P7(x5843,f25(f34(x5844,a2)),x5844,x5845) % 0.56/0.97 [591]P5(x5911,x5912,x5913)+~P5(f28(x5914,x5911),f30(x5914,x5912,x5913,x5915),x5915)+~P7(x5914,f25(f34(x5913,a2)),x5913,x5915) % 0.56/0.97 [603]~P7(x6032,x6031,x6033,x6034)+~P11(x6035,x6031,f34(x6033,a2))+E(f30(f24(x6031,x6032,x6033,x6034),f30(x6032,x6035,x6033,x6034),x6034,x6033),x6035) % 0.56/0.97 [610]~P11(x6102,f30(x6101,x6105,x6103,x6104),f34(x6104,a2))+P11(f32(x6101,x6102,x6103,x6104),x6105,f34(x6103,a2))+~P7(x6101,f25(f34(x6103,a2)),x6103,x6104) % 0.56/0.97 [613]~P11(f30(x6134,x6131,x6133,x6135),f30(x6134,x6132,x6133,x6135),f34(x6135,a2))+P11(x6131,x6132,f34(x6133,a2))+~P7(x6134,f25(f34(x6133,a2)),x6133,x6135) % 0.56/0.97 [630]~P4(x6303,x6305)+~P11(x6303,f30(x6301,x6302,x6304,x6305),f34(x6305,a2))+E(f30(x6301,f10(x6302,x6303,x6301,x6304,x6305),x6304,x6305),x6303) % 0.56/0.97 [614]~P7(x6141,x6142,x6143,x6144)+~P5(x6145,f30(x6141,x6142,x6143,x6144),x6144)+E(f28(x6141,f28(f21(x6142,x6141,x6143,x6144),x6145)),x6145) % 0.56/0.97 [618]~P7(x6181,x6183,x6184,x6185)+P7(x6181,f29(x6182,x6183,x6184),x6184,x6185)+P5(f28(x6181,x6182),f30(x6181,f5(x6183,f29(x6182,f4(f34(x6184,a2)),x6184),f34(x6184,a2)),x6184,x6185),x6185) % 0.56/0.97 [547]E(x5471,x5472)+E(x5471,x5473)+~E(f29(x5474,f29(x5471,f4(f34(x5475,a2)),x5475),x5475),f29(x5473,f29(x5472,f4(f34(x5475,a2)),x5475),x5475)) % 0.56/0.97 [548]E(x5481,x5482)+E(x5483,x5482)+~E(f29(x5483,f29(x5481,f4(f34(x5484,a2)),x5484),x5484),f29(x5485,f29(x5482,f4(f34(x5484,a2)),x5484),x5484)) % 0.56/0.97 [549]E(x5491,x5492)+E(x5493,x5492)+~E(f29(x5493,f29(x5491,f4(f34(x5494,a2)),x5494),x5494),f29(x5492,f29(x5495,f4(f34(x5494,a2)),x5494),x5494)) % 0.56/0.97 [550]E(x5501,x5502)+E(x5501,x5503)+~E(f29(x5501,f29(x5504,f4(f34(x5505,a2)),x5505),x5505),f29(x5503,f29(x5502,f4(f34(x5505,a2)),x5505),x5505)) % 0.56/0.97 [551]~P11(x5512,x5514,f34(x5511,a2))+~P11(x5513,x5515,f34(x5511,a2))+P11(f28(f28(f22(f34(x5511,a2)),x5512),x5513),f28(f28(f22(f34(x5511,a2)),x5514),x5515),f34(x5511,a2)) % 0.56/0.97 [567]~P5(x5672,x5675,x5676)+P5(f28(x5671,x5672),x5673,x5674)+~P11(f30(x5671,x5675,x5676,x5674),x5673,f34(x5674,a2)) % 0.56/0.97 [631]~P7(x6312,x6313,x6314,x6315)+P7(f16(x6312,x6316,x6311,x6314,x6315),x6313,x6314,x6315)+P5(x6311,f30(x6312,x6313,x6314,x6315),x6315) % 0.56/0.97 [621]~P5(x6212,x6215,x6216)+P5(f28(x6211,x6212),f23(x6213,f34(x6214,a2)),x6214)+~P11(f30(x6211,x6215,x6216,x6214),f28(x6213,f30(x6211,x6215,x6216,x6214)),f34(x6214,a2)) % 0.56/0.97 [642]~P8(x6424,x6425,x6422,x6426,x6423,x6427)+P5(x6421,x6422,x6423)+P8(x6424,x6425,f29(x6421,x6422,x6423),f28(f28(x6424,x6421),x6426),x6423,x6427) % 0.56/0.97 [645]~P5(x6454,x6453,x6456)+P8(x6451,x6452,x6453,f28(f28(x6451,x6454),x6455),x6456,x6457)+~P8(x6451,x6452,f5(x6453,f29(x6454,f4(f34(x6456,a2)),x6456),f34(x6456,a2)),x6455,x6456,x6457) % 0.56/0.97 [646]~P5(x6464,x6463,x6466)+P9(x6461,x6462,x6463,f28(f28(x6461,x6464),x6465),x6466,x6467)+~P9(x6461,x6462,f5(x6463,f29(x6464,f4(f34(x6466,a2)),x6466),f34(x6466,a2)),x6465,x6466,x6467) % 0.56/0.97 [287]~P1(x2872)+~P4(x2871,x2872)+P5(f17(x2871,x2872),x2871,x2872)+E(x2871,f4(f34(x2872,a2))) % 0.56/0.97 [288]~P1(x2882)+~P4(x2881,x2882)+P5(f19(x2881,x2882),x2881,x2882)+E(x2881,f4(f34(x2882,a2))) % 0.56/0.97 [285]P10(x2851,x2852,x2853)+~P1(x2853)+E(x2851,x2852)+P10(x2852,x2851,x2853) % 0.56/0.97 [286]P10(x2861,x2862,x2863)+~P23(x2863)+E(x2861,x2862)+P10(x2862,x2861,x2863) % 0.56/0.97 [303]~P1(x3033)+~P11(x3031,x3032,x3033)+E(x3031,x3032)+P10(x3031,x3032,x3033) % 0.56/0.97 [309]~P20(x3093)+~P11(x3091,x3092,x3093)+E(x3091,x3092)+P10(x3091,x3092,x3093) % 0.56/0.97 [335]~P11(x3352,x3351,x3353)+~P11(x3351,x3352,x3353)+E(x3351,x3352)+~P20(x3353) % 0.56/0.97 [347]P11(x3472,x3471,x3473)+~P19(x3473)+~P11(x3471,x3472,x3473)+P10(x3471,x3472,x3473) % 0.56/0.97 [339]~P1(x3393)+~P4(x3392,x3393)+~P5(x3391,x3392,x3393)+P11(x3391,f17(x3392,x3393),x3393) % 0.56/0.97 [340]~P1(x3402)+~P4(x3401,x3402)+~P5(x3403,x3401,x3402)+P11(f19(x3401,x3402),x3403,x3402) % 0.56/0.97 [596]~P4(x5962,x5963)+~P7(x5961,x5962,x5963,x5963)+~P11(f30(x5961,x5962,x5963,x5963),x5962,f34(x5963,a2))+E(f30(x5961,x5962,x5963,x5963),x5962) % 0.56/0.97 [395]~P1(x3952)+~P4(x3951,x3952)+E(f28(f28(f26(x3952),x3953),f19(x3951,x3952)),f19(f29(x3953,x3951,x3952),x3952))+E(x3951,f4(f34(x3952,a2))) % 0.56/0.97 [397]~P1(x3972)+~P4(x3971,x3972)+E(f27(x3973,f17(x3971,x3972),x3972),f17(f29(x3973,x3971,x3972),x3972))+E(x3971,f4(f34(x3972,a2))) % 0.56/0.97 [361]~P19(x3613)+~P10(x3611,x3614,x3613)+P10(x3611,x3612,x3613)+~P10(x3614,x3612,x3613) % 0.56/0.97 [362]~P19(x3623)+~P11(x3621,x3624,x3623)+P10(x3621,x3622,x3623)+~P10(x3624,x3622,x3623) % 0.56/0.97 [363]~P19(x3633)+~P11(x3634,x3632,x3633)+P10(x3631,x3632,x3633)+~P10(x3631,x3634,x3633) % 0.56/0.97 [364]~P20(x3643)+~P10(x3641,x3644,x3643)+P10(x3641,x3642,x3643)+~P10(x3644,x3642,x3643) % 0.56/0.97 [365]~P20(x3653)+~P11(x3651,x3654,x3653)+P10(x3651,x3652,x3653)+~P10(x3654,x3652,x3653) % 0.56/0.97 [366]~P20(x3663)+~P11(x3664,x3662,x3663)+P10(x3661,x3662,x3663)+~P10(x3661,x3664,x3663) % 0.56/0.97 [367]~P19(x3673)+~P11(x3671,x3674,x3673)+P11(x3671,x3672,x3673)+~P11(x3674,x3672,x3673) % 0.56/0.97 [368]~P20(x3683)+~P11(x3681,x3684,x3683)+P11(x3681,x3682,x3683)+~P11(x3684,x3682,x3683) % 0.56/0.97 [407]P5(x4073,x4071,x4074)+E(x4071,x4072)+P5(x4073,x4072,x4074)+~E(f29(x4073,x4071,x4074),f29(x4073,x4072,x4074)) % 0.56/0.97 [413]~P2(x4134)+P10(x4131,x4132,f34(x4133,x4134))+P11(x4132,x4131,f34(x4133,x4134))+~P11(x4131,x4132,f34(x4133,x4134)) % 0.56/0.97 [456]~P1(x4563)+~P10(x4562,x4564,x4563)+~P10(x4561,x4564,x4563)+P10(f27(x4561,x4562,x4563),x4564,x4563) % 0.56/0.97 [459]~P1(x4593)+~P11(x4592,x4594,x4593)+~P11(x4591,x4594,x4593)+P11(f27(x4591,x4592,x4593),x4594,x4593) % 0.56/0.97 [470]~P1(x4703)+P10(x4701,x4702,x4703)+P10(x4701,x4704,x4703)+~P10(x4701,f27(x4702,x4704,x4703),x4703) % 0.56/0.97 [471]~P1(x4713)+P11(x4711,x4712,x4713)+P11(x4711,x4714,x4713)+~P11(x4711,f27(x4712,x4714,x4713),x4713) % 0.56/0.97 [481]P5(x4811,x4812,x4813)+P5(x4811,x4814,x4813)+~P11(x4814,x4812,f34(x4813,a2))+P10(x4814,f29(x4811,x4812,x4813),f34(x4813,a2)) % 0.56/0.97 [501]P5(x5011,x5012,x5013)+P5(x5011,x5014,x5013)+~P10(x5014,f29(x5011,x5012,x5013),f34(x5013,a2))+P11(x5014,x5012,f34(x5013,a2)) % 0.56/0.97 [502]P5(x5021,x5022,x5023)+~P11(x5022,x5024,f34(x5023,a2))+~P10(x5022,x5024,f34(x5023,a2))+P10(x5022,f29(x5021,x5024,x5023),f34(x5023,a2)) % 0.56/0.97 [568]~P5(x5681,x5684,x5683)+P5(x5681,x5682,x5683)+~P10(x5684,f29(x5681,x5682,x5683),f34(x5683,a2))+P10(f5(x5684,f29(x5681,f4(f34(x5683,a2)),x5683),f34(x5683,a2)),x5682,f34(x5683,a2)) % 0.56/0.97 [588]~P5(x5881,x5884,x5883)+P5(x5881,x5882,x5883)+P10(x5884,f29(x5881,x5882,x5883),f34(x5883,a2))+~P10(f5(x5884,f29(x5881,f4(f34(x5883,a2)),x5883),f34(x5883,a2)),x5882,f34(x5883,a2)) % 0.56/0.97 [589]P5(x5891,x5892,x5893)+~P11(x5894,x5892,f34(x5893,a2))+P10(x5894,f29(x5891,x5892,x5893),f34(x5893,a2))+~P10(f5(x5894,f29(x5891,f4(f34(x5893,a2)),x5893),f34(x5893,a2)),x5892,f34(x5893,a2)) % 0.56/0.97 [590]~P5(x5902,x5901,x5904)+~P10(x5901,x5903,f34(x5904,a2))+P10(x5901,f29(x5902,x5903,x5904),f34(x5904,a2))+~P10(f5(x5901,f29(x5902,f4(f34(x5904,a2)),x5904),f34(x5904,a2)),x5903,f34(x5904,a2)) % 0.56/0.97 [592]~P11(x5921,x5923,f34(x5924,a2))+~P10(x5921,x5923,f34(x5924,a2))+P10(x5921,f29(x5922,x5923,x5924),f34(x5924,a2))+~P10(f5(x5921,f29(x5922,f4(f34(x5924,a2)),x5924),f34(x5924,a2)),x5923,f34(x5924,a2)) % 0.56/0.97 [449]~P1(x4492)+~P10(x4491,x4494,x4492)+~P10(x4491,x4493,x4492)+P10(x4491,f28(f28(f26(x4492),x4493),x4494),x4492) % 0.56/0.97 [452]~P1(x4522)+~P11(x4521,x4524,x4522)+~P11(x4521,x4523,x4522)+P11(x4521,f28(f28(f26(x4522),x4523),x4524),x4522) % 0.56/0.97 [455]~P13(x4552)+~P11(x4551,x4554,x4552)+~P11(x4551,x4553,x4552)+P11(x4551,f28(f28(f22(x4552),x4553),x4554),x4552) % 0.56/0.97 [467]~P1(x4673)+P10(x4671,x4672,x4673)+P10(x4674,x4672,x4673)+~P10(f28(f28(f26(x4673),x4671),x4674),x4672,x4673) % 0.56/0.97 [468]~P1(x4683)+P11(x4681,x4682,x4683)+P11(x4684,x4682,x4683)+~P11(f28(f28(f26(x4683),x4681),x4684),x4682,x4683) % 0.56/0.97 [436]~P18(x4363)+~P10(x4364,x4365,x4363)+P10(x4361,x4362,x4363)+~E(f5(x4364,x4365,x4363),f5(x4361,x4362,x4363)) % 0.56/0.97 [437]~P18(x4373)+~P10(x4374,x4375,x4373)+P10(x4371,x4372,x4373)+~E(f5(x4371,x4372,x4373),f5(x4374,x4375,x4373)) % 0.56/0.97 [438]~P18(x4383)+~P11(x4385,x4384,x4383)+P11(x4381,x4382,x4383)+~E(f5(x4384,x4385,x4383),f5(x4382,x4381,x4383)) % 0.56/0.97 [439]~P18(x4393)+~P11(x4395,x4394,x4393)+P11(x4391,x4392,x4393)+~E(f5(x4392,x4391,x4393),f5(x4394,x4395,x4393)) % 0.56/0.97 [632]~P7(x6322,x6321,x6324,x6324)+~P7(x6323,x6321,x6324,x6325)+P7(x6323,f30(x6322,x6321,x6324,x6324),x6324,x6325)+P5(f13(x6321,x6322,x6323,x6324,x6325),x6321,x6324) % 0.56/0.97 [633]~P7(x6332,x6331,x6334,x6334)+~P7(x6333,x6331,x6334,x6335)+P7(x6333,f30(x6332,x6331,x6334,x6334),x6334,x6335)+P5(f14(x6331,x6332,x6333,x6334,x6335),x6331,x6334) % 0.56/0.97 [634]~P7(x6345,x6342,x6343,x6343)+P7(x6341,x6342,x6343,x6344)+~P7(x6341,f30(x6345,x6342,x6343,x6343),x6343,x6344)+P5(f13(x6342,x6345,x6341,x6343,x6344),x6342,x6343) % 0.56/0.97 [635]~P7(x6355,x6352,x6353,x6353)+P7(x6351,x6352,x6353,x6354)+~P7(x6351,f30(x6355,x6352,x6353,x6353),x6353,x6354)+P5(f14(x6352,x6355,x6351,x6353,x6354),x6352,x6353) % 0.56/0.97 [577]P5(x5773,x5772,x5774)+~P17(x5775)+~P4(x5772,x5774)+E(f20(x5771,f5(x5772,f29(x5773,f4(f34(x5774,a2)),x5774),f34(x5774,a2)),x5774,x5775),f20(x5771,x5772,x5774,x5775)) % 0.56/0.97 [593]~P17(x5935)+~P4(x5932,x5934)+~P5(x5933,x5932,x5934)+E(f20(x5931,f5(x5932,f29(x5933,f4(f34(x5934,a2)),x5934),f34(x5934,a2)),x5934,x5935),f5(f20(x5931,x5932,x5934,x5935),f28(x5931,x5933),x5935)) % 0.56/0.97 [594]~P24(x5945)+~P4(x5942,x5944)+~P5(x5943,x5942,x5944)+E(f20(x5941,f5(x5942,f29(x5943,f4(f34(x5944,a2)),x5944),f34(x5944,a2)),x5944,x5945),f5(f20(x5941,x5942,x5944,x5945),f28(x5941,x5943),x5945)) % 0.56/0.97 [597]~P17(x5974)+~P4(x5972,x5973)+~P11(x5975,x5972,f34(x5973,a2))+E(f5(f20(x5971,x5972,x5973,x5974),f20(x5971,x5975,x5973,x5974),x5974),f20(x5971,f5(x5972,x5975,f34(x5973,a2)),x5973,x5974)) % 0.56/0.97 [617]~P7(x6172,x6171,x6173,x6174)+~P5(x6175,f30(x6172,x6171,x6173,x6174),x6174)+~P11(x6171,x6176,f34(x6173,a2))+P5(f28(f21(x6171,x6172,x6173,x6174),x6175),x6176,x6173) % 0.56/0.97 [627]E(x6271,x6272)+~P5(x6272,f30(x6274,x6273,x6275,x6276),x6276)+~P5(x6271,f30(x6274,x6273,x6275,x6276),x6276)+~E(f28(f24(x6273,x6274,x6275,x6276),x6271),f28(f24(x6273,x6274,x6275,x6276),x6272)) % 0.56/0.97 [611]~P7(x6111,x6116,x6113,x6114)+~P11(x6112,x6116,f34(x6113,a2))+~P11(x6115,x6116,f34(x6113,a2))+E(f5(f30(x6111,x6112,x6113,x6114),f30(x6111,x6115,x6113,x6114),f34(x6114,a2)),f30(x6111,f5(x6112,x6115,f34(x6113,a2)),x6113,x6114)) % 0.56/0.97 [622]~P7(x6222,x6226,x6224,x6221)+~P11(x6223,x6226,f34(x6224,a2))+~P11(x6225,x6226,f34(x6224,a2))+E(f28(f28(f22(f34(x6221,a2)),f30(x6222,x6223,x6224,x6221)),f30(x6222,x6225,x6224,x6221)),f30(x6222,f28(f28(f22(f34(x6224,a2)),x6223),x6225),x6224,x6221)) % 0.56/0.97 [411]~P1(x4112)+~P4(x4111,x4112)+~P5(x4113,x4111,x4112)+P5(f7(x4111,x4113,x4112),x4111,x4112)+E(f17(x4111,x4112),x4113) % 0.56/0.97 [412]~P1(x4122)+~P4(x4121,x4122)+~P5(x4123,x4121,x4122)+P5(f11(x4121,x4123,x4122),x4121,x4122)+E(f19(x4121,x4122),x4123) % 0.56/0.97 [474]~P1(x4742)+~P4(x4741,x4742)+~P5(x4743,x4741,x4742)+~P11(x4743,f11(x4741,x4743,x4742),x4742)+E(f19(x4741,x4742),x4743) % 0.56/0.97 [475]~P1(x4752)+~P4(x4751,x4752)+~P5(x4753,x4751,x4752)+~P11(f7(x4751,x4753,x4752),x4753,x4752)+E(f17(x4751,x4752),x4753) % 0.56/0.97 [408]~P1(x4082)+~P4(x4083,x4082)+P11(f19(x4083,x4082),f19(x4081,x4082),x4082)+~P11(x4081,x4083,f34(x4082,a2))+E(x4081,f4(f34(x4082,a2))) % 0.56/0.97 [409]~P1(x4092)+~P4(x4093,x4092)+P11(f17(x4091,x4092),f17(x4093,x4092),x4092)+~P11(x4091,x4093,f34(x4092,a2))+E(x4091,f4(f34(x4092,a2))) % 0.56/0.97 [504]~P4(x5042,x5044)+~P11(x5042,x5043,f34(x5044,a2))+P4(f8(x5043,x5041,x5044),x5044)+P22(f28(x5041,x5042))+~P22(f28(x5041,f4(f34(x5044,a2)))) % 0.56/0.97 [514]~P4(x5142,x5144)+P5(f9(x5143,x5141,x5144),x5143,x5144)+~P11(x5142,x5143,f34(x5144,a2))+P22(f28(x5141,x5142))+~P22(f28(x5141,f4(f34(x5144,a2)))) % 0.56/0.97 [526]~P4(x5262,x5264)+~P11(x5262,x5263,f34(x5264,a2))+P22(f28(x5261,x5262))+P22(f28(x5261,f8(x5263,x5261,x5264)))+~P22(f28(x5261,f4(f34(x5264,a2)))) % 0.56/0.97 [546]~P4(x5462,x5463)+~P5(f9(x5464,x5461,x5463),f8(x5464,x5461,x5463),x5463)+~P11(x5462,x5464,f34(x5463,a2))+P22(f28(x5461,x5462))+~P22(f28(x5461,f4(f34(x5463,a2)))) % 0.56/0.97 [612]~P4(x6122,x6123)+~P11(x6122,x6124,f34(x6123,a2))+P22(f28(x6121,x6122))+~P22(f28(x6121,f29(f9(x6124,x6121,x6123),f8(x6124,x6121,x6123),x6123)))+~P22(f28(x6121,f4(f34(x6123,a2)))) % 0.56/0.97 [643]~P7(x6433,x6432,x6434,x6434)+~P7(x6431,x6432,x6434,x6435)+P7(x6431,f30(x6433,x6432,x6434,x6434),x6434,x6435)+E(f28(x6431,f14(x6432,x6433,x6431,x6434,x6435)),f28(x6431,f13(x6432,x6433,x6431,x6434,x6435)))+E(f28(x6431,f28(x6433,f14(x6432,x6433,x6431,x6434,x6435))),f28(x6431,f28(x6433,f13(x6432,x6433,x6431,x6434,x6435)))) % 0.56/0.97 [644]P7(x6441,x6442,x6444,x6445)+~P7(x6443,x6442,x6444,x6444)+~P7(x6441,f30(x6443,x6442,x6444,x6444),x6444,x6445)+E(f28(x6441,f14(x6442,x6443,x6441,x6444,x6445)),f28(x6441,f13(x6442,x6443,x6441,x6444,x6445)))+E(f28(x6441,f28(x6443,f14(x6442,x6443,x6441,x6444,x6445))),f28(x6441,f28(x6443,f13(x6442,x6443,x6441,x6444,x6445)))) % 0.56/0.97 [647]~P7(x6472,x6473,x6474,x6474)+~P7(x6471,x6473,x6474,x6475)+P7(x6471,f30(x6472,x6473,x6474,x6474),x6474,x6475)+~E(f28(x6471,f14(x6473,x6472,x6471,x6474,x6475)),f28(x6471,f13(x6473,x6472,x6471,x6474,x6475)))+~E(f28(x6471,f28(x6472,f14(x6473,x6472,x6471,x6474,x6475))),f28(x6471,f28(x6472,f13(x6473,x6472,x6471,x6474,x6475)))) % 0.56/0.97 [648]~P7(x6485,x6482,x6483,x6483)+P7(x6481,x6482,x6483,x6484)+~P7(x6481,f30(x6485,x6482,x6483,x6483),x6483,x6484)+~E(f28(x6481,f14(x6482,x6485,x6481,x6483,x6484)),f28(x6481,f13(x6482,x6485,x6481,x6483,x6484)))+~E(f28(x6481,f28(x6485,f14(x6482,x6485,x6481,x6483,x6484))),f28(x6481,f28(x6485,f13(x6482,x6485,x6481,x6483,x6484)))) % 0.56/0.97 [524]~P5(x5241,x5244,x5245)+E(x5241,x5242)+~P7(x5243,x5244,x5245,x5246)+~P5(x5242,x5244,x5245)+~E(f28(x5243,x5241),f28(x5243,x5242)) % 0.56/0.97 [620]~P4(x6203,x6204)+~P4(x6201,x6202)+~P7(x6205,x6201,x6202,x6204)+~P7(x6206,x6203,x6204,x6202)+~P11(f30(x6205,x6201,x6202,x6204),x6203,f34(x6204,a2))+~P11(f30(x6206,x6203,x6204,x6202),x6201,f34(x6202,a2))+E(f18(x6201,x6202),f18(x6203,x6204)) % 0.56/0.97 %EqnAxiom % 0.56/0.97 [1]E(x11,x11) % 0.56/0.97 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.97 [4]~E(x41,x42)+E(f34(x41,x43),f34(x42,x43)) % 0.56/0.97 [5]~E(x51,x52)+E(f34(x53,x51),f34(x53,x52)) % 0.56/0.97 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.56/0.97 [7]~E(x71,x72)+E(f30(x71,x73,x74,x75),f30(x72,x73,x74,x75)) % 0.56/0.97 [8]~E(x81,x82)+E(f30(x83,x81,x84,x85),f30(x83,x82,x84,x85)) % 0.56/0.97 [9]~E(x91,x92)+E(f30(x93,x94,x91,x95),f30(x93,x94,x92,x95)) % 0.56/0.97 [10]~E(x101,x102)+E(f30(x103,x104,x105,x101),f30(x103,x104,x105,x102)) % 0.56/0.97 [11]~E(x111,x112)+E(f28(x111,x113),f28(x112,x113)) % 0.56/0.97 [12]~E(x121,x122)+E(f28(x123,x121),f28(x123,x122)) % 0.56/0.97 [13]~E(x131,x132)+E(f22(x131),f22(x132)) % 0.56/0.97 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144)) % 0.56/0.97 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154)) % 0.56/0.97 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162)) % 0.56/0.97 [17]~E(x171,x172)+E(f13(x171,x173,x174,x175,x176),f13(x172,x173,x174,x175,x176)) % 0.56/0.97 [18]~E(x181,x182)+E(f13(x183,x181,x184,x185,x186),f13(x183,x182,x184,x185,x186)) % 0.56/0.97 [19]~E(x191,x192)+E(f13(x193,x194,x191,x195,x196),f13(x193,x194,x192,x195,x196)) % 0.56/0.97 [20]~E(x201,x202)+E(f13(x203,x204,x205,x201,x206),f13(x203,x204,x205,x202,x206)) % 0.56/0.97 [21]~E(x211,x212)+E(f13(x213,x214,x215,x216,x211),f13(x213,x214,x215,x216,x212)) % 0.56/0.97 [22]~E(x221,x222)+E(f29(x221,x223,x224),f29(x222,x223,x224)) % 0.56/0.97 [23]~E(x231,x232)+E(f29(x233,x231,x234),f29(x233,x232,x234)) % 0.56/0.97 [24]~E(x241,x242)+E(f29(x243,x244,x241),f29(x243,x244,x242)) % 0.56/0.97 [25]~E(x251,x252)+E(f17(x251,x253),f17(x252,x253)) % 0.56/0.97 [26]~E(x261,x262)+E(f17(x263,x261),f17(x263,x262)) % 0.56/0.97 [27]~E(x271,x272)+E(f25(x271),f25(x272)) % 0.56/0.97 [28]~E(x281,x282)+E(f6(x281,x283,x284),f6(x282,x283,x284)) % 0.56/0.97 [29]~E(x291,x292)+E(f6(x293,x291,x294),f6(x293,x292,x294)) % 0.56/0.97 [30]~E(x301,x302)+E(f6(x303,x304,x301),f6(x303,x304,x302)) % 0.56/0.97 [31]~E(x311,x312)+E(f26(x311),f26(x312)) % 0.56/0.97 [32]~E(x321,x322)+E(f19(x321,x323),f19(x322,x323)) % 0.56/0.97 [33]~E(x331,x332)+E(f19(x333,x331),f19(x333,x332)) % 0.56/0.97 [34]~E(x341,x342)+E(f27(x341,x343,x344),f27(x342,x343,x344)) % 0.56/0.97 [35]~E(x351,x352)+E(f27(x353,x351,x354),f27(x353,x352,x354)) % 0.56/0.97 [36]~E(x361,x362)+E(f27(x363,x364,x361),f27(x363,x364,x362)) % 0.56/0.97 [37]~E(x371,x372)+E(f14(x371,x373,x374,x375,x376),f14(x372,x373,x374,x375,x376)) % 0.56/0.97 [38]~E(x381,x382)+E(f14(x383,x381,x384,x385,x386),f14(x383,x382,x384,x385,x386)) % 0.56/0.97 [39]~E(x391,x392)+E(f14(x393,x394,x391,x395,x396),f14(x393,x394,x392,x395,x396)) % 0.56/0.97 [40]~E(x401,x402)+E(f14(x403,x404,x405,x401,x406),f14(x403,x404,x405,x402,x406)) % 0.56/0.97 [41]~E(x411,x412)+E(f14(x413,x414,x415,x416,x411),f14(x413,x414,x415,x416,x412)) % 0.56/0.97 [42]~E(x421,x422)+E(f16(x421,x423,x424,x425,x426),f16(x422,x423,x424,x425,x426)) % 0.56/0.97 [43]~E(x431,x432)+E(f16(x433,x431,x434,x435,x436),f16(x433,x432,x434,x435,x436)) % 0.56/0.97 [44]~E(x441,x442)+E(f16(x443,x444,x441,x445,x446),f16(x443,x444,x442,x445,x446)) % 0.56/0.97 [45]~E(x451,x452)+E(f16(x453,x454,x455,x451,x456),f16(x453,x454,x455,x452,x456)) % 0.56/0.97 [46]~E(x461,x462)+E(f16(x463,x464,x465,x466,x461),f16(x463,x464,x465,x466,x462)) % 0.56/0.97 [47]~E(x471,x472)+E(f21(x471,x473,x474,x475),f21(x472,x473,x474,x475)) % 0.56/0.97 [48]~E(x481,x482)+E(f21(x483,x481,x484,x485),f21(x483,x482,x484,x485)) % 0.56/0.97 [49]~E(x491,x492)+E(f21(x493,x494,x491,x495),f21(x493,x494,x492,x495)) % 0.56/0.97 [50]~E(x501,x502)+E(f21(x503,x504,x505,x501),f21(x503,x504,x505,x502)) % 0.56/0.97 [51]~E(x511,x512)+E(f24(x511,x513,x514,x515),f24(x512,x513,x514,x515)) % 0.56/0.97 [52]~E(x521,x522)+E(f24(x523,x521,x524,x525),f24(x523,x522,x524,x525)) % 0.56/0.97 [53]~E(x531,x532)+E(f24(x533,x534,x531,x535),f24(x533,x534,x532,x535)) % 0.56/0.97 [54]~E(x541,x542)+E(f24(x543,x544,x545,x541),f24(x543,x544,x545,x542)) % 0.56/0.97 [55]~E(x551,x552)+E(f20(x551,x553,x554,x555),f20(x552,x553,x554,x555)) % 0.56/0.97 [56]~E(x561,x562)+E(f20(x563,x561,x564,x565),f20(x563,x562,x564,x565)) % 0.56/0.97 [57]~E(x571,x572)+E(f20(x573,x574,x571,x575),f20(x573,x574,x572,x575)) % 0.56/0.97 [58]~E(x581,x582)+E(f20(x583,x584,x585,x581),f20(x583,x584,x585,x582)) % 0.56/0.97 [59]~E(x591,x592)+E(f31(x591,x593),f31(x592,x593)) % 0.56/0.97 [60]~E(x601,x602)+E(f31(x603,x601),f31(x603,x602)) % 0.56/0.97 [61]~E(x611,x612)+E(f32(x611,x613,x614,x615),f32(x612,x613,x614,x615)) % 0.56/0.97 [62]~E(x621,x622)+E(f32(x623,x621,x624,x625),f32(x623,x622,x624,x625)) % 0.56/0.97 [63]~E(x631,x632)+E(f32(x633,x634,x631,x635),f32(x633,x634,x632,x635)) % 0.56/0.97 [64]~E(x641,x642)+E(f32(x643,x644,x645,x641),f32(x643,x644,x645,x642)) % 0.56/0.97 [65]~E(x651,x652)+E(f8(x651,x653,x654),f8(x652,x653,x654)) % 0.56/0.97 [66]~E(x661,x662)+E(f8(x663,x661,x664),f8(x663,x662,x664)) % 0.56/0.97 [67]~E(x671,x672)+E(f8(x673,x674,x671),f8(x673,x674,x672)) % 0.56/0.97 [68]~E(x681,x682)+E(f9(x681,x683,x684),f9(x682,x683,x684)) % 0.56/0.97 [69]~E(x691,x692)+E(f9(x693,x691,x694),f9(x693,x692,x694)) % 0.56/0.97 [70]~E(x701,x702)+E(f9(x703,x704,x701),f9(x703,x704,x702)) % 0.56/0.97 [71]~E(x711,x712)+E(f15(x711,x713,x714,x715,x716),f15(x712,x713,x714,x715,x716)) % 0.56/0.97 [72]~E(x721,x722)+E(f15(x723,x721,x724,x725,x726),f15(x723,x722,x724,x725,x726)) % 0.56/0.97 [73]~E(x731,x732)+E(f15(x733,x734,x731,x735,x736),f15(x733,x734,x732,x735,x736)) % 0.56/0.97 [74]~E(x741,x742)+E(f15(x743,x744,x745,x741,x746),f15(x743,x744,x745,x742,x746)) % 0.56/0.97 [75]~E(x751,x752)+E(f15(x753,x754,x755,x756,x751),f15(x753,x754,x755,x756,x752)) % 0.56/0.97 [76]~E(x761,x762)+E(f12(x761,x763,x764,x765,x766),f12(x762,x763,x764,x765,x766)) % 0.56/0.97 [77]~E(x771,x772)+E(f12(x773,x771,x774,x775,x776),f12(x773,x772,x774,x775,x776)) % 0.56/0.97 [78]~E(x781,x782)+E(f12(x783,x784,x781,x785,x786),f12(x783,x784,x782,x785,x786)) % 0.56/0.97 [79]~E(x791,x792)+E(f12(x793,x794,x795,x791,x796),f12(x793,x794,x795,x792,x796)) % 0.56/0.97 [80]~E(x801,x802)+E(f12(x803,x804,x805,x806,x801),f12(x803,x804,x805,x806,x802)) % 0.56/0.97 [81]~E(x811,x812)+E(f10(x811,x813,x814,x815,x816),f10(x812,x813,x814,x815,x816)) % 0.56/0.97 [82]~E(x821,x822)+E(f10(x823,x821,x824,x825,x826),f10(x823,x822,x824,x825,x826)) % 0.56/0.97 [83]~E(x831,x832)+E(f10(x833,x834,x831,x835,x836),f10(x833,x834,x832,x835,x836)) % 0.56/0.97 [84]~E(x841,x842)+E(f10(x843,x844,x845,x841,x846),f10(x843,x844,x845,x842,x846)) % 0.56/0.97 [85]~E(x851,x852)+E(f10(x853,x854,x855,x856,x851),f10(x853,x854,x855,x856,x852)) % 0.56/0.97 [86]~E(x861,x862)+E(f18(x861,x863),f18(x862,x863)) % 0.56/0.97 [87]~E(x871,x872)+E(f18(x873,x871),f18(x873,x872)) % 0.56/0.97 [88]~E(x881,x882)+E(f23(x881,x883),f23(x882,x883)) % 0.56/0.97 [89]~E(x891,x892)+E(f23(x893,x891),f23(x893,x892)) % 0.56/0.97 [90]~E(x901,x902)+E(f7(x901,x903,x904),f7(x902,x903,x904)) % 0.56/0.97 [91]~E(x911,x912)+E(f7(x913,x911,x914),f7(x913,x912,x914)) % 0.56/0.97 [92]~E(x921,x922)+E(f7(x923,x924,x921),f7(x923,x924,x922)) % 0.56/0.97 [93]~E(x931,x932)+E(f11(x931,x933,x934),f11(x932,x933,x934)) % 0.56/0.97 [94]~E(x941,x942)+E(f11(x943,x941,x944),f11(x943,x942,x944)) % 0.56/0.97 [95]~E(x951,x952)+E(f11(x953,x954,x951),f11(x953,x954,x952)) % 0.56/0.97 [96]~P1(x961)+P1(x962)+~E(x961,x962) % 0.56/0.97 [97]~P2(x971)+P2(x972)+~E(x971,x972) % 0.56/0.97 [98]P5(x982,x983,x984)+~E(x981,x982)+~P5(x981,x983,x984) % 0.56/0.97 [99]P5(x993,x992,x994)+~E(x991,x992)+~P5(x993,x991,x994) % 0.56/0.97 [100]P5(x1003,x1004,x1002)+~E(x1001,x1002)+~P5(x1003,x1004,x1001) % 0.56/0.97 [101]~P19(x1011)+P19(x1012)+~E(x1011,x1012) % 0.56/0.97 [102]P7(x1022,x1023,x1024,x1025)+~E(x1021,x1022)+~P7(x1021,x1023,x1024,x1025) % 0.56/0.97 [103]P7(x1033,x1032,x1034,x1035)+~E(x1031,x1032)+~P7(x1033,x1031,x1034,x1035) % 0.56/0.97 [104]P7(x1043,x1044,x1042,x1045)+~E(x1041,x1042)+~P7(x1043,x1044,x1041,x1045) % 0.56/0.97 [105]P7(x1053,x1054,x1055,x1052)+~E(x1051,x1052)+~P7(x1053,x1054,x1055,x1051) % 0.56/0.97 [106]~P20(x1061)+P20(x1062)+~E(x1061,x1062) % 0.56/0.97 [107]P10(x1072,x1073,x1074)+~E(x1071,x1072)+~P10(x1071,x1073,x1074) % 0.56/0.97 [108]P10(x1083,x1082,x1084)+~E(x1081,x1082)+~P10(x1083,x1081,x1084) % 0.56/0.97 [109]P10(x1093,x1094,x1092)+~E(x1091,x1092)+~P10(x1093,x1094,x1091) % 0.56/0.97 [110]~P13(x1101)+P13(x1102)+~E(x1101,x1102) % 0.56/0.97 [111]P11(x1112,x1113,x1114)+~E(x1111,x1112)+~P11(x1111,x1113,x1114) % 0.56/0.97 [112]P11(x1123,x1122,x1124)+~E(x1121,x1122)+~P11(x1123,x1121,x1124) % 0.56/0.97 [113]P11(x1133,x1134,x1132)+~E(x1131,x1132)+~P11(x1133,x1134,x1131) % 0.56/0.97 [114]~P14(x1141)+P14(x1142)+~E(x1141,x1142) % 0.56/0.97 [115]P4(x1152,x1153)+~E(x1151,x1152)+~P4(x1151,x1153) % 0.56/0.97 [116]P4(x1163,x1162)+~E(x1161,x1162)+~P4(x1163,x1161) % 0.56/0.97 [117]~P15(x1171)+P15(x1172)+~E(x1171,x1172) % 0.56/0.97 [118]~P3(x1181)+P3(x1182)+~E(x1181,x1182) % 0.56/0.97 [119]~P21(x1191)+P21(x1192)+~E(x1191,x1192) % 0.56/0.97 [120]~P12(x1201)+P12(x1202)+~E(x1201,x1202) % 0.56/0.97 [121]~P16(x1211)+P16(x1212)+~E(x1211,x1212) % 0.56/0.97 [122]~P22(x1221)+P22(x1222)+~E(x1221,x1222) % 0.56/0.97 [123]P8(x1232,x1233,x1234,x1235,x1236,x1237)+~E(x1231,x1232)+~P8(x1231,x1233,x1234,x1235,x1236,x1237) % 0.56/0.97 [124]P8(x1243,x1242,x1244,x1245,x1246,x1247)+~E(x1241,x1242)+~P8(x1243,x1241,x1244,x1245,x1246,x1247) % 0.56/0.97 [125]P8(x1253,x1254,x1252,x1255,x1256,x1257)+~E(x1251,x1252)+~P8(x1253,x1254,x1251,x1255,x1256,x1257) % 0.56/0.97 [126]P8(x1263,x1264,x1265,x1262,x1266,x1267)+~E(x1261,x1262)+~P8(x1263,x1264,x1265,x1261,x1266,x1267) % 0.56/0.97 [127]P8(x1273,x1274,x1275,x1276,x1272,x1277)+~E(x1271,x1272)+~P8(x1273,x1274,x1275,x1276,x1271,x1277) % 0.56/0.97 [128]P8(x1283,x1284,x1285,x1286,x1287,x1282)+~E(x1281,x1282)+~P8(x1283,x1284,x1285,x1286,x1287,x1281) % 0.56/0.97 [129]P9(x1292,x1293,x1294,x1295,x1296,x1297)+~E(x1291,x1292)+~P9(x1291,x1293,x1294,x1295,x1296,x1297) % 0.56/0.97 [130]P9(x1303,x1302,x1304,x1305,x1306,x1307)+~E(x1301,x1302)+~P9(x1303,x1301,x1304,x1305,x1306,x1307) % 0.56/0.97 [131]P9(x1313,x1314,x1312,x1315,x1316,x1317)+~E(x1311,x1312)+~P9(x1313,x1314,x1311,x1315,x1316,x1317) % 0.56/0.97 [132]P9(x1323,x1324,x1325,x1322,x1326,x1327)+~E(x1321,x1322)+~P9(x1323,x1324,x1325,x1321,x1326,x1327) % 0.56/0.97 [133]P9(x1333,x1334,x1335,x1336,x1332,x1337)+~E(x1331,x1332)+~P9(x1333,x1334,x1335,x1336,x1331,x1337) % 0.56/0.97 [134]P9(x1343,x1344,x1345,x1346,x1347,x1342)+~E(x1341,x1342)+~P9(x1343,x1344,x1345,x1346,x1347,x1341) % 0.56/0.97 [135]P6(x1352,x1353,x1354)+~E(x1351,x1352)+~P6(x1351,x1353,x1354) % 0.56/0.97 [136]P6(x1363,x1362,x1364)+~E(x1361,x1362)+~P6(x1363,x1361,x1364) % 0.56/0.97 [137]P6(x1373,x1374,x1372)+~E(x1371,x1372)+~P6(x1373,x1374,x1371) % 0.56/0.97 [138]~P23(x1381)+P23(x1382)+~E(x1381,x1382) % 0.56/0.97 [139]~P18(x1391)+P18(x1392)+~E(x1391,x1392) % 0.56/0.97 [140]~P17(x1401)+P17(x1402)+~E(x1401,x1402) % 0.56/0.97 [141]~P24(x1411)+P24(x1412)+~E(x1411,x1412) % 0.56/0.97 % 0.56/0.97 %------------------------------------------- % 0.56/0.97 cnf(685,plain, % 0.56/0.97 (P11(x6851,f29(x6852,x6851,x6853),f34(x6853,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(696,plain, % 0.56/0.97 (P11(f5(x6961,x6962,f34(x6963,a2)),x6961,f34(x6963,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(699,plain, % 0.56/0.97 (P11(f5(x6991,x6992,f34(x6993,a2)),x6991,f34(x6993,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(702,plain, % 0.56/0.97 (~P5(x7021,f4(f34(x7022,a2)),x7022)), % 0.56/0.97 inference(rename_variables,[],[236])). % 0.56/0.97 cnf(705,plain, % 0.56/0.97 (P22(f28(f29(x7051,x7052,x7053),x7051))), % 0.56/0.97 inference(rename_variables,[],[185])). % 0.56/0.97 cnf(708,plain, % 0.56/0.97 (P11(x7081,x7081,f34(x7082,a2))), % 0.56/0.97 inference(rename_variables,[],[164])). % 0.56/0.97 cnf(711,plain, % 0.56/0.97 (~P22(f28(f4(f34(x7111,a2)),x7112))), % 0.56/0.97 inference(rename_variables,[],[238])). % 0.56/0.97 cnf(714,plain, % 0.56/0.97 (~P5(x7141,f4(f34(x7142,a2)),x7142)), % 0.56/0.97 inference(rename_variables,[],[236])). % 0.56/0.97 cnf(720,plain, % 0.56/0.97 (P11(f5(x7201,x7202,f34(x7203,a2)),x7201,f34(x7203,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(723,plain, % 0.56/0.97 (P11(x7231,f29(x7232,x7231,x7233),f34(x7233,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(735,plain, % 0.56/0.97 (P11(x7351,f29(x7352,x7351,x7353),f34(x7353,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(738,plain, % 0.56/0.97 (P11(x7381,f29(x7382,x7381,x7383),f34(x7383,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(741,plain, % 0.56/0.97 (E(f16(x7411,x7412,f28(x7411,x7412),x7413,x7414),x7411)), % 0.56/0.97 inference(rename_variables,[],[218])). % 0.56/0.97 cnf(745,plain, % 0.56/0.97 (~P5(x7451,f4(f34(x7452,a2)),x7452)), % 0.56/0.97 inference(rename_variables,[],[236])). % 0.56/0.97 cnf(750,plain, % 0.56/0.97 (P7(x7501,f4(f34(x7502,a2)),x7502,x7503)), % 0.56/0.97 inference(rename_variables,[],[190])). % 0.56/0.97 cnf(752,plain, % 0.56/0.97 (P11(x7521,f29(x7522,x7521,x7523),f34(x7523,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(754,plain, % 0.56/0.97 (P11(x7541,f29(x7542,x7541,x7543),f34(x7543,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(759,plain, % 0.56/0.97 (E(f16(x7591,x7592,f28(x7591,x7592),x7593,x7594),x7591)), % 0.56/0.97 inference(rename_variables,[],[218])). % 0.56/0.97 cnf(761,plain, % 0.56/0.97 (P8(x7611,x7612,f4(f34(x7613,a2)),x7612,x7613,x7614)), % 0.56/0.97 inference(rename_variables,[],[228])). % 0.56/0.97 cnf(763,plain, % 0.56/0.97 (P8(x7631,x7632,f4(f34(x7633,a2)),x7632,x7633,x7634)), % 0.56/0.97 inference(rename_variables,[],[228])). % 0.56/0.97 cnf(767,plain, % 0.56/0.97 (P9(x7671,x7672,f4(f34(x7673,a2)),x7672,x7673,x7674)), % 0.56/0.97 inference(rename_variables,[],[229])). % 0.56/0.97 cnf(769,plain, % 0.56/0.97 (P9(x7691,x7692,f4(f34(x7693,a2)),x7692,x7693,x7694)), % 0.56/0.97 inference(rename_variables,[],[229])). % 0.56/0.97 cnf(775,plain, % 0.56/0.97 (E(f5(f5(x7751,f29(x7752,f4(f34(x7753,a2)),x7753),f34(x7753,a2)),x7754,f34(x7753,a2)),f5(x7751,f29(x7752,x7754,x7753),f34(x7753,a2)))), % 0.56/0.97 inference(rename_variables,[],[208])). % 0.56/0.97 cnf(776,plain, % 0.56/0.97 (~E(f4(f34(x7761,a2)),f29(x7762,x7763,x7761))), % 0.56/0.97 inference(rename_variables,[],[233])). % 0.56/0.97 cnf(782,plain, % 0.56/0.97 (P11(x7821,f29(x7822,x7821,x7823),f34(x7823,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(788,plain, % 0.56/0.97 (P11(x7881,f29(x7882,x7881,x7883),f34(x7883,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(810,plain, % 0.56/0.97 (P11(x8101,f29(x8102,x8101,x8103),f34(x8103,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(813,plain, % 0.56/0.97 (P11(x8131,f29(x8132,x8131,x8133),f34(x8133,a2))), % 0.56/0.97 inference(rename_variables,[],[179])). % 0.56/0.97 cnf(816,plain, % 0.56/0.97 (P11(f5(x8161,x8162,f34(x8163,a2)),x8161,f34(x8163,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(819,plain, % 0.56/0.97 (P11(f5(x8191,x8192,f34(x8193,a2)),x8191,f34(x8193,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(822,plain, % 0.56/0.97 (P11(f5(x8221,x8222,f34(x8223,a2)),x8221,f34(x8223,a2))), % 0.56/0.97 inference(rename_variables,[],[183])). % 0.56/0.97 cnf(831,plain, % 0.56/0.97 (~P5(x8311,f4(f34(x8312,a2)),x8312)), % 0.56/0.97 inference(rename_variables,[],[236])). % 0.56/0.97 cnf(843,plain, % 0.56/0.97 ($false), % 0.56/0.97 inference(scs_inference,[],[159,160,239,184,177,228,761,763,229,767,769,179,685,723,735,738,752,754,782,788,810,813,164,708,231,190,750,166,236,702,714,745,831,183,696,699,720,816,819,822,168,169,237,142,143,145,149,150,156,218,741,759,205,208,775,162,232,233,776,193,185,705,238,711,276,2,240,265,266,267,271,358,415,460,461,469,479,498,528,529,558,576,600,602,608,638,311,403,477,492,556,567,586,3,98,99,100,103,104,111,112,115,116,122,124,126,127,130,132,133,279,331,344,346,353,372,376,378,379,380,419,421,423,425,426,441,442,443,487,541,140,437,481,502,632,633,533]), % 0.56/0.97 ['proof']). % 0.56/0.97 % SZS output end Proof % 0.56/0.97 % Total time :0.170000s %------------------------------------------------------------------------------