%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV889-1 : 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 : n018.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 16:48:49 EDT 2024 % Result : Unsatisfiable 0.61s 0.92s % Output : CNFRefutation 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV889-1 : TPTP v8.2.0. Released v4.1.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 19:13:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.61/0.63 start to proof:theBenchmark % 0.61/0.88 %------------------------------------------- % 0.61/0.88 % File :CSE---1.7 % 0.61/0.88 % Problem :theBenchmark % 0.61/0.88 % Transform :cnf % 0.61/0.88 % Format :tptp:raw % 0.61/0.88 % Command :java -jar mcs_scs.jar %d %s % 0.61/0.88 % 0.61/0.88 % Result :Theorem 0.040000s % 0.61/0.88 % Output :CNFRefutation 0.040000s % 0.61/0.88 %------------------------------------------- % 0.61/0.88 %------------------------------------------------------------------------------ % 0.61/0.88 % File : SWV889-1 : TPTP v8.2.0. Released v4.1.0. % 0.61/0.88 % Domain : Software Verification % 0.61/0.88 % Problem : Hoare logic with procedures 401_1 % 0.61/0.88 % Version : Especial. % 0.61/0.88 % English : Completeness is taken relative to completeness of the underlying % 0.61/0.88 % logic. Two versions of completeness proof: nested single recursion % 0.61/0.88 % and simultaneous recursion in call rule. % 0.61/0.88 % 0.61/0.88 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.61/0.88 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.61/0.88 % Source : [Nip10] % 0.61/0.88 % Names : Hoare-401_1 [Nip10] % 0.61/0.88 % 0.61/0.88 % Status : Unsatisfiable % 0.61/0.88 % Rating : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0 % 0.61/0.88 % Syntax : Number of clauses : 643 ( 170 unt; 61 nHn; 367 RR) % 0.61/0.88 % Number of literals : 1439 ( 360 equ; 789 neg) % 0.61/0.88 % Maximal clause size : 6 ( 2 avg) % 0.61/0.88 % Maximal term depth : 6 ( 1 avg) % 0.61/0.88 % Number of predicates : 31 ( 30 usr; 2 prp; 0-4 aty) % 0.61/0.88 % Number of functors : 38 ( 38 usr; 8 con; 0-4 aty) % 0.61/0.88 % Number of variables : 2115 ( 357 sgn) % 0.61/0.88 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.61/0.88 % 0.61/0.88 % Comments : % 0.61/0.88 %------------------------------------------------------------------------------ % 0.61/0.88 cnf(cls_Un__left__commute_0,axiom, % 0.61/0.88 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_Un__assoc_0,axiom, % 0.61/0.88 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_inj__on__empty_0,axiom, % 0.61/0.88 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_image__diff__subset_0,axiom, % 0.61/0.88 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)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_diff__eq_0,axiom, % 0.61/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_Diff__eq_0,axiom, % 0.61/0.88 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_image__empty_0,axiom, % 0.61/0.88 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)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_eq__eqI_0,axiom, % 0.61/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.61/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.61/0.88 | V_x_H = V_y_H ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_eq__eqI_1,axiom, % 0.61/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.61/0.88 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.61/0.88 | V_xa = V_y ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_doubleton__eq__iff_4,axiom, % 0.61/0.88 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) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_rangeI_0,axiom, % 0.61/0.88 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) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_Diff__idemp_0,axiom, % 0.61/0.88 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)) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_inj__on__Un_2,axiom, % 0.61/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(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_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 0.61/0.88 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_inj__on__Un_3,axiom, % 0.61/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(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_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 0.61/0.88 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 0.61/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.88 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_mem__def_0,axiom, % 0.61/0.88 ( hBOOL(hAPP(V_S,V_x)) % 0.61/0.88 | ~ c_in(V_x,V_S,T_a) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_mem__def_1,axiom, % 0.61/0.88 ( c_in(V_x,V_S,T_a) % 0.61/0.88 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_insert__commute_0,axiom, % 0.61/0.88 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) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_ivl__disj__un_I13_J_0,axiom, % 0.61/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) % 0.61/0.88 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_insertCI_1,axiom, % 0.61/0.88 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_insertI1_0,axiom, % 0.61/0.88 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_insert__iff_1,axiom, % 0.61/0.88 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_inj__on__insert_2,axiom, % 0.61/0.88 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 0.61/0.88 | 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) % 0.61/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_xt1_I10_J_0,axiom, % 0.61/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.88 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_psubsetD_0,axiom, % 0.61/0.88 ( c_in(V_c,V_B,T_a) % 0.61/0.88 | ~ c_in(V_c,V_A,T_a) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_psubset__trans_0,axiom, % 0.61/0.88 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.88 % 0.61/0.88 cnf(cls_order__less__trans_0,axiom, % 0.61/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.61/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_sup__idem_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Un__absorb_0,axiom, % 0.61/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.89 % 0.61/0.89 cnf(cls_finite__vimageI_0,axiom, % 0.61/0.89 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__sup__distrib2_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__sup__distrib1_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Int__Un__distrib_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Int__Un__distrib2_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Diff__triv_0,axiom, % 0.61/0.89 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.89 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_singletonE_0,axiom, % 0.61/0.89 ( V_b = V_a % 0.61/0.89 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_ivl__disj__un_I6_J_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 0.61/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_image__subset__iff_0,axiom, % 0.61/0.89 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 0.61/0.89 | ~ c_in(V_x,V_A,T_b) % 0.61/0.89 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_finite__surj_0,axiom, % 0.61/0.89 ( c_Finite__Set_Ofinite(V_B,T_b) % 0.61/0.89 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__image__Int_0,axiom, % 0.61/0.89 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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)) % 0.61/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_subset__insert__iff_0,axiom, % 0.61/0.89 ( 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)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_subset__insert__iff_3,axiom, % 0.61/0.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ 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)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_diff__single__insert_0,axiom, % 0.61/0.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ 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)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__image__subset__iff_0,axiom, % 0.61/0.89 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ 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)) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__image__subset__iff_1,axiom, % 0.61/0.89 ( 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)) % 0.61/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__insert_0,axiom, % 0.61/0.89 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__Diff1_0,axiom, % 0.61/0.89 ( 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)) % 0.61/0.89 | ~ c_in(V_x,V_B,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I36_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_ivl__disj__int_I11_J_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I24_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Compl__atLeast_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.89 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_k,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_ivl__disj__int_I8_J_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_psubset__insert__iff_1,axiom, % 0.61/0.89 ( 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)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | c_in(V_x,V_B,T_a) % 0.61/0.89 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_psubset__insert__iff_4,axiom, % 0.61/0.89 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ 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)) % 0.61/0.89 | c_in(V_x,V_B,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_ComplD_0,axiom, % 0.61/0.89 ( ~ c_in(V_c,V_A,T_a) % 0.61/0.89 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_ComplI_0,axiom, % 0.61/0.89 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.89 | c_in(V_c,V_A,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I17_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__compl__bot_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_compl__inf__bot_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Compl__disjoint_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Compl__disjoint2_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_finite__Diff_0,axiom, % 0.61/0.89 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__diff_0,axiom, % 0.61/0.89 ( 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) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_empty__is__image_0,axiom, % 0.61/0.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.61/0.89 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I39_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Un__insert__left_0,axiom, % 0.61/0.89 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Un__insert__right_0,axiom, % 0.61/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_vimage__Diff_0,axiom, % 0.61/0.89 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)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_psubset__insert__iff_8,axiom, % 0.61/0.89 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ 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)) % 0.61/0.89 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_image__vimage__subset_0,axiom, % 0.61/0.89 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)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__vimage__image__eq_0,axiom, % 0.61/0.89 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I3_J_1,axiom, % 0.61/0.89 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.61/0.89 | V_com2 = V_com2_H ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I3_J_0,axiom, % 0.61/0.89 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.61/0.89 | V_com1 = V_com1_H ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_vimage__UNIV_0,axiom, % 0.61/0.89 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)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I46_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_lessThan__iff_0,axiom, % 0.61/0.89 ( ~ class_HOL_Oord(T_a) % 0.61/0.89 | c_HOL_Oord__class_Oless(V_i,V_k,T_a) % 0.61/0.89 | ~ c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_lessThan__iff_1,axiom, % 0.61/0.89 ( ~ class_HOL_Oord(T_a) % 0.61/0.89 | c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a) % 0.61/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_sup__top__right_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_sup__top__left_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Un__UNIV__left_0,axiom, % 0.61/0.89 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Un__UNIV__right_0,axiom, % 0.61/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Compl__Diff__eq_0,axiom, % 0.61/0.89 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Diff__insert_0,axiom, % 0.61/0.89 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)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Diff__insert2_0,axiom, % 0.61/0.89 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)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I44_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_finite__Diff2_0,axiom, % 0.61/0.89 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_finite__Diff2_1,axiom, % 0.61/0.89 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.61/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__not__empty_0,axiom, % 0.61/0.89 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I35_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_vimage__singleton__eq_1,axiom, % 0.61/0.89 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) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__inter__insert_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_greaterThan__eq__iff_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.89 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a) % 0.61/0.89 | V_x = V_y ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__absorb2_0,axiom, % 0.61/0.89 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) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I23_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__code_0,axiom, % 0.61/0.89 ( hBOOL(hAPP(V_A,V_x)) % 0.61/0.89 | V_y = V_x % 0.61/0.89 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_subset__Compl__self__eq_1,axiom, % 0.61/0.89 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I52_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_DiffE_0,axiom, % 0.61/0.89 ( c_in(V_c,V_A,T_a) % 0.61/0.89 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 0.61/0.89 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 0.61/0.89 | V_A = V_B ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I37_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_DiffE_1,axiom, % 0.61/0.89 ( ~ c_in(V_c,V_B,T_a) % 0.61/0.89 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__bot__right_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__bot__left_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_sup__assoc_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_sup__left__commute_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_IntE_1,axiom, % 0.61/0.89 ( c_in(V_c,V_B,T_a) % 0.61/0.89 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_IntE_0,axiom, % 0.61/0.89 ( c_in(V_c,V_A,T_a) % 0.61/0.89 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__contraD_0,axiom, % 0.61/0.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.61/0.89 | ~ c_in(V_y,V_A,T_a) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | V_x = V_y % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__iff_0,axiom, % 0.61/0.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.61/0.89 | ~ c_in(V_y,V_A,T_a) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.89 | V_x = V_y ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__on__def_0,axiom, % 0.61/0.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 0.61/0.89 | ~ c_in(V_xa,V_A,T_a) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.89 | V_x = V_xa ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inj__onD_0,axiom, % 0.61/0.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.61/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.89 | V_x = V_y % 0.61/0.89 | ~ c_in(V_y,V_A,T_a) % 0.61/0.89 | ~ c_in(V_x,V_A,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_atMost__Int__atLeast_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Int__commute_0,axiom, % 0.61/0.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__commute_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Diff__partition_0,axiom, % 0.61/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B % 0.61/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_lessThan__eq__iff_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.89 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a) % 0.61/0.89 | V_x = V_y ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_com_Osimps_I14_J_0,axiom, % 0.61/0.89 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_distrib__inf__le_0,axiom, % 0.61/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_Compl__lessThan_0,axiom, % 0.61/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.89 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_k,T_a) ) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_insert__Diff__single_0,axiom, % 0.61/0.89 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) ). % 0.61/0.89 % 0.61/0.89 cnf(cls_psubset__insert__iff_5,axiom, % 0.61/0.89 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.89 | ~ 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)) % 0.61/0.90 | c_in(V_x,V_B,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_compl__unique_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_singleton__inject_0,axiom, % 0.61/0.90 ( 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) % 0.61/0.90 | V_a = V_b ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeastAtMost__singleton_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Int__crazy_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_bex__empty_0,axiom, % 0.61/0.90 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.61/0.90 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__partition2_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__partition_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_compl__sup__top_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__compl__top_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.61/0.90 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_xa,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_derivs__insertD_0,axiom, % 0.61/0.90 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) % 0.61/0.90 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__iff_2,axiom, % 0.61/0.90 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.90 | c_in(V_c,V_B,T_a) % 0.61/0.90 | ~ c_in(V_c,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_DiffI_0,axiom, % 0.61/0.90 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.90 | c_in(V_c,V_B,T_a) % 0.61/0.90 | ~ c_in(V_c,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimage__Compl_0,axiom, % 0.61/0.90 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_image__set__diff_0,axiom, % 0.61/0.90 ( 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)) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__subset_0,axiom, % 0.61/0.90 ( c_in(V_x,V_B,T_a) % 0.61/0.90 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__code_2,axiom, % 0.61/0.90 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__image_0,axiom, % 0.61/0.90 ( 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) % 0.61/0.90 | ~ c_in(V_x,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_subset__insert__iff_2,axiom, % 0.61/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_subset__insert__iff_1,axiom, % 0.61/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) % 0.61/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_subset__insert_1,axiom, % 0.61/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_subset__insert_0,axiom, % 0.61/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__ident_0,axiom, % 0.61/0.90 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.61/0.90 | c_in(V_x,V_B,T_a) % 0.61/0.90 | c_in(V_x,V_A,T_a) % 0.61/0.90 | V_A = V_B ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__insert__right_1,axiom, % 0.61/0.90 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_a,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__insert__left_1,axiom, % 0.61/0.90 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_a,V_C,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__empty_1,axiom, % 0.61/0.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.90 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__empty_0,axiom, % 0.61/0.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.90 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.61/0.90 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.61/0.90 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Diff__cancel2_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Diff__cancel_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Diff_0,axiom, % 0.61/0.90 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I34_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_greaterThan__iff_0,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(V_k,V_i,T_a) % 0.61/0.90 | ~ c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_greaterThan__iff_1,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_k,V_i,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimage__eq_1,axiom, % 0.61/0.90 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) % 0.61/0.90 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimageI2_0,axiom, % 0.61/0.90 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b) % 0.61/0.90 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimageI_0,axiom, % 0.61/0.90 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b) % 0.61/0.90 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimageE_0,axiom, % 0.61/0.90 ( c_in(hAPP(V_f,V_a),V_B,T_b) % 0.61/0.90 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimageD_0,axiom, % 0.61/0.90 ( c_in(hAPP(V_f,V_a),V_A,T_b) % 0.61/0.90 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__eq__neg__sup_0,axiom, % 0.61/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__insert__iff_9,axiom, % 0.61/0.90 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ 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)) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__commute_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__commute_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I5_J_0,axiom, % 0.61/0.90 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.61/0.90 | V_fun = V_fun_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I5_J_1,axiom, % 0.61/0.90 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.61/0.90 | V_com = V_com_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__Int_0,axiom, % 0.61/0.90 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_compl__inf_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_neg__inf__eq__sup_0,axiom, % 0.61/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeastLessThan__empty__iff2_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeastLessThan__empty__iff2_1,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__absorb_0,axiom, % 0.61/0.90 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.61/0.90 | ~ c_in(V_a,V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__is__Un_0,axiom, % 0.61/0.90 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeastatMost__psubset__iff_2,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 0.61/0.90 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__left__absorb_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__left__idem_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_empty__is__image_1,axiom, % 0.61/0.90 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) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__Un_0,axiom, % 0.61/0.90 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_compl__sup_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_neg__sup__eq__inf_0,axiom, % 0.61/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I15_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__disjoint_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I53_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite_0,axiom, % 0.61/0.90 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.61/0.90 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_vimage__Un_0,axiom, % 0.61/0.90 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_ivl__disj__int_I7_J_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__on__insert_1,axiom, % 0.61/0.90 ( ~ 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) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I27_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__Compl_0,axiom, % 0.61/0.90 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_single__Diff__lessThan_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | 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) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_insert__Diff__if_1,axiom, % 0.61/0.90 ( 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) % 0.61/0.90 | c_in(V_x,V_B,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_subset__insert__iff_4,axiom, % 0.61/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ 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)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf1E_1,axiom, % 0.61/0.90 ( hBOOL(hAPP(V_B,V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf1E_0,axiom, % 0.61/0.90 ( hBOOL(hAPP(V_A,V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__surj__inj_0,axiom, % 0.61/0.90 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.61/0.90 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__on__Un_1,axiom, % 0.61/0.90 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__on__Un_0,axiom, % 0.61/0.90 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__empty__left_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__empty__right_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeast__iff_0,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_lessequals(V_k,V_i,T_a) % 0.61/0.90 | ~ c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeast__iff_1,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a) % 0.61/0.90 | ~ c_lessequals(V_k,V_i,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__insert_0,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__insert_1,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite_OemptyI_0,axiom, % 0.61/0.90 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I45_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_image__Int_0,axiom, % 0.61/0.90 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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)) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I4_J_2,axiom, % 0.61/0.90 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.61/0.90 | V_com2 = V_com2_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I4_J_1,axiom, % 0.61/0.90 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.61/0.90 | V_com1 = V_com1_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I4_J_0,axiom, % 0.61/0.90 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.61/0.90 | V_fun = V_fun_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_image__Int__subset_0,axiom, % 0.61/0.90 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__Un_2,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__UnI_0,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Int__assoc__eq_0,axiom, % 0.61/0.90 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__Int__assoc__eq_1,axiom, % 0.61/0.90 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_UNIV__I_0,axiom, % 0.61/0.90 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_option_Oinject_0,axiom, % 0.61/0.90 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a) % 0.61/0.90 | V_a = V_a_H ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__empty_0,axiom, % 0.61/0.90 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 ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__cancel_0,axiom, % 0.61/0.90 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)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__eq__Diff__UNIV_0,axiom, % 0.61/0.90 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__image__mem__iff_0,axiom, % 0.61/0.90 ( c_in(V_a,V_A,T_a) % 0.61/0.90 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__image__mem__iff_1,axiom, % 0.61/0.90 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.61/0.90 | ~ c_in(V_a,V_A,T_a) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I28_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I22_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_not__psubset__empty_0,axiom, % 0.61/0.90 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_injD_0,axiom, % 0.61/0.90 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 0.61/0.90 | V_x = V_y ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup1E_0,axiom, % 0.61/0.90 ( hBOOL(hAPP(V_B,V_x)) % 0.61/0.90 | hBOOL(hAPP(V_A,V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup1CI_0,axiom, % 0.61/0.90 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup1CI_1,axiom, % 0.61/0.90 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.61/0.90 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_endo__inj__surj_0,axiom, % 0.61/0.90 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 0.61/0.90 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_UnE_0,axiom, % 0.61/0.90 ( c_in(V_c,V_B,T_a) % 0.61/0.90 | c_in(V_c,V_A,T_a) % 0.61/0.90 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__left__commute_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__assoc_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__assoc_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__left__commute_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I38_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_ivl__disj__un_I17_J_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a) % 0.61/0.90 | ~ c_lessequals(V_m,V_u,T_a) % 0.61/0.90 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__Un_0,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(V_F,T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_finite__Un_1,axiom, % 0.61/0.90 ( c_Finite__Set_Ofinite(V_G,T_a) % 0.61/0.90 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__bot__right_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_sup__bot__left_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__empty__left_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Un__empty__right_0,axiom, % 0.61/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.90 % 0.61/0.90 cnf(cls_empty__Diff_0,axiom, % 0.61/0.90 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)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_neg__less__iff__less_1,axiom, % 0.61/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_neg__less__iff__less_0,axiom, % 0.61/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inj__image__eq__iff_0,axiom, % 0.61/0.90 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 0.61/0.90 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 0.61/0.90 | V_A = V_B ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__atMost_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_k,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__eq__top__eq2_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.61/0.90 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__eq__top__eq1_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.61/0.90 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__insert__iff_2,axiom, % 0.61/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) % 0.61/0.90 | c_in(V_x,V_B,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__insert__iff_3,axiom, % 0.61/0.90 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | c_in(V_x,V_A,T_a) % 0.61/0.90 | c_in(V_x,V_B,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I26_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_ivl__disj__un_I21_J_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 0.61/0.90 | ~ c_lessequals(V_m,V_u,T_a) % 0.61/0.90 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I16_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_compl__top__eq_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.90 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Compl__UNIV__eq_0,axiom, % 0.61/0.90 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atMost__iff_0,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_lessequals(V_i,V_k,T_a) % 0.61/0.90 | ~ c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atMost__iff_1,axiom, % 0.61/0.90 ( ~ class_HOL_Oord(T_a) % 0.61/0.90 | c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a) % 0.61/0.90 | ~ c_lessequals(V_i,V_k,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_bot1E_0,axiom, % 0.61/0.90 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__Int__distrib_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__Int__distrib2_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__insert__iff_0,axiom, % 0.61/0.90 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_in(V_x,V_B,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__insert__iff_6,axiom, % 0.61/0.90 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_in(V_x,V_B,T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_com_Osimps_I10_J_0,axiom, % 0.61/0.90 c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_UNIV__not__empty_0,axiom, % 0.61/0.90 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.61/0.90 ( ~ c_in(V_x,V_B,T_a) % 0.61/0.90 | ~ c_in(V_x,V_A,T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__top__right_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_inf__top__left_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__UNIV__left_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Int__UNIV__right_0,axiom, % 0.61/0.90 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.90 % 0.61/0.90 cnf(cls_image__vimage__eq_0,axiom, % 0.61/0.90 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_distrib__sup__le_0,axiom, % 0.61/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.90 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_ivl__disj__un_I1_J_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.90 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_Diff__Int2_0,axiom, % 0.61/0.90 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_ivl__disj__int_I15_J_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_atLeastLessThan__empty_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_psubset__eq_1,axiom, % 0.61/0.90 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_order__less__le_1,axiom, % 0.61/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_linorder__neq__iff_1,axiom, % 0.61/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.61/0.90 % 0.61/0.90 cnf(cls_order__less__irrefl_0,axiom, % 0.61/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__inf__absorb_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_top1I_0,axiom, % 0.61/0.91 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__empty_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insertE_0,axiom, % 0.61/0.91 ( c_in(V_a,V_A,T_a) % 0.61/0.91 | V_a = V_b % 0.61/0.91 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.61/0.91 | V_x = V_y ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.61/0.91 | V_a = V_b ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__eq__Compl__iff_0,axiom, % 0.61/0.91 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | V_A = V_B ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_6,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_c,V_d,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_5,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_c,V_d,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__un_I2_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I25_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.61/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | V_x = V_y ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__neqE_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | V_x = V_y ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__less__linear_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_disjoint__eq__subset__Compl_1,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_disjoint__eq__subset__Compl_0,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__subsetI_0,axiom, % 0.61/0.91 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.61/0.91 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__insert__absorb_0,axiom, % 0.61/0.91 ( 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 % 0.61/0.91 | c_in(V_x,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_rev__image__eqI_0,axiom, % 0.61/0.91 ( ~ c_in(V_x,V_A,T_aa) % 0.61/0.91 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__iff_2,axiom, % 0.61/0.91 ( ~ c_in(V_x,V_A,T_b) % 0.61/0.91 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__eqI_0,axiom, % 0.61/0.91 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 0.61/0.91 | ~ c_in(V_x,V_A,T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_imageI_0,axiom, % 0.61/0.91 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.61/0.91 | ~ c_in(V_x,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_c,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__subset__conv_1,axiom, % 0.61/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__subset__conv_0,axiom, % 0.61/0.91 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_double__complement_0,axiom, % 0.61/0.91 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__minus_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_double__compl_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_equation__minus__iff_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.61/0.91 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_equation__minus__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.61/0.91 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__equation__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__supI1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__supI2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__diff__eq_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__Int_0,axiom, % 0.61/0.91 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__Int_1,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__Int_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__minus__iff_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__minus__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__less__iff_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__less__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__neq__le__trans_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | V_a = V_b ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__le__neq__trans_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.61/0.91 | V_a = V_b % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__less__le_2,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__le__less_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I12_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(V_b,V_a,T_a) % 0.61/0.91 | V_a = V_b ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I11_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.61/0.91 | V_a = V_b % 0.61/0.91 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__eqI_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__eqI_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.61/0.91 | c_lessequals(V_y_H,V_x_H,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__less__le__trans_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_z,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__le__less__trans_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I8_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I7_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_z,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__supE_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_a,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__supE_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_b,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__supI1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__supI2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__sup__iff_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__sup__iff_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_y,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_top__greatest_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Otop(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__le1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__le2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__infI_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__inf__iff_2,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__greatest_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__iff__sup_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__iff__sup_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__absorb1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__less__imp__le_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__le__less_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__le__not__le_2,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_bot__least_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Obot(T_a) % 0.61/0.91 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__imp__neg__le_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_neg__le__iff__le_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_not__leE_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.61/0.91 | c_lessequals(V_x,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__not__less_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__not__less_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__not__le_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__not__le_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__le__not__le_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__iff__inf_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__iff__inf_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__absorb2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__supI_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_b,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__ge1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__ge2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__least_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_z,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__sup__iff_2,axiom, % 0.61/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__infE_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__infE_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__infI1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__infI2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__inf__iff_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__inf__iff_1,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_lessequals(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__minus__iff_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__minus__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.61/0.91 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__le__iff_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.61/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_minus__le__iff_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.61/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__fun__def_0,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__fun__def_2,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) % 0.61/0.91 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.61/0.91 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__fun__def_1,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__iff__psubset__eq_0,axiom, % 0.61/0.91 ( V_A = V_B % 0.61/0.91 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_psubset__eq_2,axiom, % 0.61/0.91 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | V_A = V_B % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__mono_0,axiom, % 0.61/0.91 ( 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)) % 0.61/0.91 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__image__iff_2,axiom, % 0.61/0.91 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 0.61/0.91 | 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)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I11_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__absorb_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__infI2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__infI1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__Diff__Int_0,axiom, % 0.61/0.91 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__imageI_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_psubset__insert__iff_7,axiom, % 0.61/0.91 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | c_in(V_x,V_A,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_doubleton__eq__iff_0,axiom, % 0.61/0.91 ( 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) % 0.61/0.91 | V_a = V_d % 0.61/0.91 | V_a = V_c ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_doubleton__eq__iff_1,axiom, % 0.61/0.91 ( 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) % 0.61/0.91 | V_b = V_c % 0.61/0.91 | V_a = V_c ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_doubleton__eq__iff_2,axiom, % 0.61/0.91 ( 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) % 0.61/0.91 | V_a = V_d % 0.61/0.91 | V_b = V_d ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_doubleton__eq__iff_3,axiom, % 0.61/0.91 ( 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) % 0.61/0.91 | V_b = V_c % 0.61/0.91 | V_b = V_d ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__un_I8_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a) % 0.61/0.91 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeast__eq__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a) % 0.61/0.91 | V_x = V_y ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I8_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__compl_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__compl_1,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I29_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__empty__iff2_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.61/0.91 | c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__empty__iff2_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_empty__not__insert_0,axiom, % 0.61/0.91 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_emptyE_0,axiom, % 0.61/0.91 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_empty__iff_0,axiom, % 0.61/0.91 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ball__empty_0,axiom, % 0.61/0.91 ( hBOOL(hAPP(V_P,V_x)) % 0.61/0.91 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ex__in__conv_0,axiom, % 0.61/0.91 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__insert__left_0,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_a,V_C,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__insert__right_0,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_a,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__insert_0,axiom, % 0.61/0.91 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) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__UNIV_0,axiom, % 0.61/0.91 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)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__singleton__eq_0,axiom, % 0.61/0.91 ( hAPP(V_f,V_a) = V_b % 0.61/0.91 | ~ 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) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I1_J_1,axiom, % 0.61/0.91 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H) % 0.61/0.91 | V_fun = V_fun_H ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I1_J_0,axiom, % 0.61/0.91 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H) % 0.61/0.91 | V_vname = V_vname_H ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I13_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__inf__distrib2_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__inf__distrib1_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__Int__distrib_0,axiom, % 0.61/0.91 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__Int__distrib2_0,axiom, % 0.61/0.91 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__code_1,axiom, % 0.61/0.91 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__subset_2,axiom, % 0.61/0.91 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_in(V_x,V_B,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_compl__bot__eq_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__empty__eq_0,axiom, % 0.61/0.91 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__left__idem_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__left__absorb_0,axiom, % 0.61/0.91 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I2_J_2,axiom, % 0.61/0.91 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.61/0.91 | V_com = V_com_H ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I2_J_1,axiom, % 0.61/0.91 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.61/0.91 | V_fun = V_fun_H ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I2_J_0,axiom, % 0.61/0.91 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.61/0.91 | V_loc = V_loc_H ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__un_I10_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) % 0.61/0.91 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__Diff__insert_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ 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) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__Diff__insert_1,axiom, % 0.61/0.91 ( 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) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I47_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__UNIV_0,axiom, % 0.61/0.91 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.61/0.91 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_UnCI_0,axiom, % 0.61/0.91 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_c,V_B,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_UnCI_1,axiom, % 0.61/0.91 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_c,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__Diff_0,axiom, % 0.61/0.91 ( 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 % 0.61/0.91 | ~ c_in(V_a,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf__idem_0,axiom, % 0.61/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__absorb_0,axiom, % 0.61/0.91 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastLessThan__empty__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastLessThan__empty__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insertCI_0,axiom, % 0.61/0.91 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 0.61/0.91 | ~ c_in(V_a,V_B,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__iff_2,axiom, % 0.61/0.91 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 0.61/0.91 | ~ c_in(V_a,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__is__empty_0,axiom, % 0.61/0.91 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_3,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_c,V_d,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__Un_0,axiom, % 0.61/0.91 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__empty__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__empty__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__Diff_0,axiom, % 0.61/0.91 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inj__on__image__set__diff_0,axiom, % 0.61/0.91 ( 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)) % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__diff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a) % 0.61/0.91 | ~ c_lessequals(V_i,V_n,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atMost__eq__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a) % 0.61/0.91 | V_x = V_y ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inj__image__Compl__subset_0,axiom, % 0.61/0.91 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 0.61/0.91 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_singleton__iff_1,axiom, % 0.61/0.91 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__Compl__self__eq_0,axiom, % 0.61/0.91 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__singletonD_0,axiom, % 0.61/0.91 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ 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)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__insert_0,axiom, % 0.61/0.91 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__Int_0,axiom, % 0.61/0.91 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__greaterThan_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_k,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__code_0,axiom, % 0.61/0.91 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 0.61/0.91 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__code_1,axiom, % 0.61/0.91 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 0.61/0.91 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_hoare__derivs_Oinsert_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_IntI_0,axiom, % 0.61/0.91 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_c,V_B,T_a) % 0.61/0.91 | ~ c_in(V_c,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__iff_2,axiom, % 0.61/0.91 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.61/0.91 | ~ c_in(V_c,V_B,T_a) % 0.61/0.91 | ~ c_in(V_c,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_inf1I_0,axiom, % 0.61/0.91 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.61/0.91 | ~ hBOOL(hAPP(V_B,V_x)) % 0.61/0.91 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_sup__eq__neg__inf_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__eqI_0,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_less__eqI_1,axiom, % 0.61/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.61/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I9_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__int_I4_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__imageD_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(V_A,T_b) % 0.61/0.91 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__empty_2,axiom, % 0.61/0.91 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__un_I14_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) % 0.61/0.91 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_ivl__disj__int_I2_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__Un_0,axiom, % 0.61/0.91 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__empty_0,axiom, % 0.61/0.91 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)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__psubset__iff_4,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_c,V_d,T_a) % 0.61/0.91 | c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_com_Osimps_I12_J_0,axiom, % 0.61/0.91 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I9_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__less__asym_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__less__asym_H_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_image__mono_0,axiom, % 0.61/0.91 ( 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)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_double__diff_0,axiom, % 0.61/0.91 ( 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 % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__mono_0,axiom, % 0.61/0.91 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_rev__finite__subset_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__psubset__trans_0,axiom, % 0.61/0.91 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_psubset__subset__trans_0,axiom, % 0.61/0.91 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_finite__subset_0,axiom, % 0.61/0.91 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.61/0.91 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__inj__on_0,axiom, % 0.61/0.91 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__iff_0,axiom, % 0.61/0.91 ( c_in(V_t,V_B,T_a) % 0.61/0.91 | ~ c_in(V_t,V_A,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_set__rev__mp_0,axiom, % 0.61/0.91 ( c_in(V_x,V_B,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_in(V_x,V_A,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subsetD_0,axiom, % 0.61/0.91 ( c_in(V_c,V_B,T_a) % 0.61/0.91 | ~ c_in(V_c,V_A,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_set__mp_0,axiom, % 0.61/0.91 ( c_in(V_x,V_B,T_a) % 0.61/0.91 | ~ c_in(V_x,V_A,T_a) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__subset__iff_1,axiom, % 0.61/0.91 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__subset__iff_0,axiom, % 0.61/0.91 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_predicate1I_1,axiom, % 0.61/0.91 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__UNIV_0,axiom, % 0.61/0.91 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__subset__iff_2,axiom, % 0.61/0.91 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__greatest_0,axiom, % 0.61/0.91 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__lower2_0,axiom, % 0.61/0.91 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__lower1_0,axiom, % 0.61/0.91 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__mono_0,axiom, % 0.61/0.91 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__empty_1,axiom, % 0.61/0.91 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)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__empty_0,axiom, % 0.61/0.91 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__Un__eq_1,axiom, % 0.61/0.91 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 0.61/0.91 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__absorb2_0,axiom, % 0.61/0.91 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.61/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__absorb1_0,axiom, % 0.61/0.91 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_psubset__eq_0,axiom, % 0.61/0.91 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__mono_0,axiom, % 0.61/0.91 ( 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)) % 0.61/0.91 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__insertI_0,axiom, % 0.61/0.91 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_empty__subsetI_0,axiom, % 0.61/0.91 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__subset__Compl__iff_1,axiom, % 0.61/0.91 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__subset__Compl__iff_0,axiom, % 0.61/0.91 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Compl__anti__mono_0,axiom, % 0.61/0.91 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__insertI2_0,axiom, % 0.61/0.91 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_insert__subset_1,axiom, % 0.61/0.91 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__absorb2_0,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__absorb1_0,axiom, % 0.61/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.61/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__subset__iff_2,axiom, % 0.61/0.91 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__upper2_0,axiom, % 0.61/0.91 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__upper1_0,axiom, % 0.61/0.91 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Un__least_0,axiom, % 0.61/0.91 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Diff__subset_0,axiom, % 0.61/0.91 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)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_vimage__mono_0,axiom, % 0.61/0.91 ( 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)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__subset__iff_1,axiom, % 0.61/0.91 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_Int__subset__iff_0,axiom, % 0.61/0.91 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_predicate1I_0,axiom, % 0.61/0.91 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.61/0.91 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_derivs__insertD_1,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_empty_0,axiom, % 0.61/0.91 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_hoare__sound_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I5_J_0,axiom, % 0.61/0.91 ( c_Com_OWT(V_c1) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I5_J_1,axiom, % 0.61/0.91 ( c_Com_OWT(V_c2) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT_OSemi_0,axiom, % 0.61/0.91 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1)) % 0.61/0.91 | ~ c_Com_OWT(V_c1) % 0.61/0.91 | ~ c_Com_OWT(V_c0) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I4_J_0,axiom, % 0.61/0.91 ( c_Com_OWT(V_c1) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I4_J_1,axiom, % 0.61/0.91 ( c_Com_OWT(V_c2) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT_OIf_0,axiom, % 0.61/0.91 ( c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1)) % 0.61/0.91 | ~ c_Com_OWT(V_c1) % 0.61/0.91 | ~ c_Com_OWT(V_c0) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT_OSkip_0,axiom, % 0.61/0.91 c_Com_OWT(c_Com_Ocom_OSKIP) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT_OAssign_0,axiom, % 0.61/0.91 c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_While_0,axiom, % 0.61/0.91 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) % 0.61/0.91 | ~ c_Com_OWT(V_c) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I6_J_0,axiom, % 0.61/0.91 ( c_Com_OWT(V_c) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT_OLocal_0,axiom, % 0.61/0.91 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) % 0.61/0.91 | ~ c_Com_OWT(V_c) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WTs__elim__cases_I3_J_0,axiom, % 0.61/0.91 ( c_Com_OWT(V_c) % 0.61/0.91 | ~ c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_WT__bodiesD_0,axiom, % 0.61/0.91 ( c_Com_Obody(V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom) % 0.61/0.91 | ~ c_Com_OWT__bodies % 0.61/0.91 | c_Com_OWT(V_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_single__stateE_0,axiom, % 0.61/0.91 ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__funI_0,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.61/0.91 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__fun__def_1,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.61/0.91 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),T_b) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeast__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeast__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__subset__iff_2,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | c_lessequals(V_a,V_b,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_c,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastatMost__subset__iff_3,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atMost__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atMost__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_greaterThan__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_greaterThan__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_lessThan__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | 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)) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_lessThan__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ 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)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastLessThan__subset__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_c,V_a,T_a) % 0.61/0.91 | c_lessequals(V_b,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_atLeastLessThan__subset__iff_1,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_b,V_d,T_a) % 0.61/0.91 | c_lessequals(V_b,V_a,T_a) % 0.61/0.91 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_linorder__linear_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.61/0.91 | c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_weaken_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_rev__predicate1D_0,axiom, % 0.61/0.91 ( hBOOL(hAPP(V_Q,V_x)) % 0.61/0.91 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__eq__refl_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__eq__iff_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_predicate1D_0,axiom, % 0.61/0.91 ( hBOOL(hAPP(V_Q,V_x)) % 0.61/0.91 | ~ hBOOL(hAPP(V_P,V_x)) % 0.61/0.91 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_thin_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__trans_0,axiom, % 0.61/0.91 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_subset__refl_0,axiom, % 0.61/0.91 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_equalityE_0,axiom, % 0.61/0.91 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__trans_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.61/0.91 | c_lessequals(V_x,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_z,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_xt1_I6_J_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | c_lessequals(V_z,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_z,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_cut_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a) % 0.61/0.91 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__antisym__conv_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__antisym_0,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_order__eq__iff_2,axiom, % 0.61/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.61/0.91 | V_x = V_y % 0.61/0.91 | ~ c_lessequals(V_y,V_x,T_a) % 0.61/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_set__eq__subset_2,axiom, % 0.61/0.91 ( V_A = V_B % 0.61/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_equalityI_0,axiom, % 0.61/0.91 ( V_A = V_B % 0.61/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.61/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_state__not__singleton__def_1,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ostate__not__singleton % 0.61/0.91 | V_x = V_xa ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_asm_0,axiom, % 0.61/0.91 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.61/0.91 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_le__funD_0,axiom, % 0.61/0.91 ( ~ class_HOL_Oord(T_b) % 0.61/0.91 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.61/0.91 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_conjecture_0,negated_conjecture, % 0.61/0.91 c_Hoare__Mirabelle_Ostate__not__singleton ). % 0.61/0.91 % 0.61/0.91 cnf(cls_conjecture_1,negated_conjecture, % 0.61/0.91 c_Com_OWT__bodies ). % 0.61/0.91 % 0.61/0.91 cnf(cls_conjecture_2,negated_conjecture, % 0.61/0.91 c_Com_OWT(v_c) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_conjecture_3,negated_conjecture, % 0.61/0.91 c_lessequals(v_ts,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ). % 0.61/0.91 % 0.61/0.91 cnf(cls_conjecture_4,negated_conjecture, % 0.61/0.91 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.61/0.91 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Olattice(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.61/0.91 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Olattice(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 0.61/0.91 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.61/0.91 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 0.61/0.91 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 0.61/0.91 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 0.61/0.91 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.61/0.91 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.61/0.91 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Lattices_Olattice(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.61/0.91 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Orderings_Oorder(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Orderings_Otop,axiom, % 0.61/0.91 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Orderings_Otop(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.61/0.91 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_Orderings_Obot(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_fun__HOL_Oord,axiom, % 0.61/0.91 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.61/0.91 | ~ class_HOL_Oord(T_1) ) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 0.61/0.91 class_Lattices_Oupper__semilattice(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 0.61/0.91 class_Lattices_Olower__semilattice(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 0.61/0.91 class_Lattices_Odistrib__lattice(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.61/0.91 class_Orderings_Opreorder(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.61/0.91 class_Orderings_Olinorder(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.61/0.91 class_Lattices_Olattice(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.61/0.91 class_Orderings_Oorder(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.61/0.91 class_Orderings_Obot(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_nat__HOL_Oord,axiom, % 0.61/0.91 class_HOL_Oord(tc_nat) ). % 0.61/0.91 % 0.61/0.91 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.61/0.91 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.61/0.92 class_Lattices_Olower__semilattice(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 0.61/0.92 class_Lattices_Odistrib__lattice(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.61/0.92 class_Lattices_Obounded__lattice(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 0.61/0.92 class_Lattices_Oboolean__algebra(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 0.61/0.92 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.61/0.92 class_Orderings_Opreorder(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.61/0.92 class_Lattices_Olattice(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.61/0.92 class_Orderings_Oorder(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Orderings_Otop,axiom, % 0.61/0.92 class_Orderings_Otop(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.61/0.92 class_Orderings_Obot(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_bool__HOL_Oord,axiom, % 0.61/0.92 class_HOL_Oord(tc_bool) ). % 0.61/0.92 % 0.61/0.92 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom, % 0.61/0.92 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1)) % 0.61/0.92 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ). % 0.61/0.92 % 0.61/0.92 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.61/0.92 c_fequal(V_x,V_x,T_a) ). % 0.61/0.92 % 0.61/0.92 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.61/0.92 ( V_X = V_Y % 0.61/0.92 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.61/0.92 % 0.61/0.92 %------------------------------------------------------------------------------ % 0.61/0.92 %------------------------------------------- % 0.61/0.92 % Proof found % 0.61/0.92 % SZS status Theorem for theBenchmark % 0.61/0.92 % SZS output start Proof % 0.61/0.92 %ClaNum:763(EqnAxiom:120) % 0.61/0.92 %VarNum:4514(SingletonVarNum:1810) % 0.61/0.92 %MaxLitNum:6 % 0.61/0.92 %MaxfuncDepth:4 % 0.61/0.92 %SharedTerms:40 % 0.61/0.92 %goalClause: 121 122 145 153 263 % 0.61/0.92 %singleGoalClaCount:5 % 0.61/0.92 [121]P1(a5000) % 0.61/0.92 [122]P3(a5000) % 0.61/0.92 [123]P9(a1) % 0.61/0.92 [124]P15(a33) % 0.61/0.92 [125]P26(a1) % 0.61/0.92 [126]P26(a33) % 0.61/0.92 [127]P27(a1) % 0.61/0.92 [128]P27(a33) % 0.61/0.92 [129]P16(a1) % 0.61/0.92 [130]P16(a33) % 0.61/0.92 [131]P17(a1) % 0.61/0.92 [132]P17(a33) % 0.61/0.92 [133]P10(a1) % 0.61/0.92 [134]P10(a33) % 0.61/0.92 [135]P18(a1) % 0.61/0.92 [136]P19(a1) % 0.61/0.92 [137]P19(a33) % 0.61/0.92 [138]P20(a1) % 0.61/0.92 [139]P20(a33) % 0.61/0.92 [140]P11(a1) % 0.61/0.92 [141]P28(a1) % 0.61/0.92 [142]P21(a1) % 0.61/0.92 [143]P21(a33) % 0.61/0.92 [144]P2(a2) % 0.61/0.92 [145]P2(a35) % 0.61/0.92 [263]~P5(a36,a37,a18) % 0.61/0.92 [153]P13(a37,a36,f34(f31(a18),a1)) % 0.61/0.92 [148]P4(f10(f34(x1481,a1)),x1481) % 0.61/0.92 [157]E(f16(f10(f34(x1571,a1)),f34(x1571,a1)),f19(f34(x1571,a1))) % 0.61/0.92 [158]E(f16(f19(f34(x1581,a1)),f34(x1581,a1)),f10(f34(x1581,a1))) % 0.61/0.92 [264]~E(f19(f34(x2641,a1)),f10(f34(x2641,a1))) % 0.61/0.92 [147]P12(x1471,x1471,x1472) % 0.61/0.92 [146]P2(f3(x1461,x1462)) % 0.61/0.92 [150]P13(x1501,x1501,f34(x1502,a1)) % 0.61/0.92 [254]~E(f3(x2541,x2542),a2) % 0.61/0.92 [255]~E(f14(x2551,x2552),a2) % 0.61/0.92 [256]~E(f15(x2561,x2562),a2) % 0.61/0.92 [281]~P7(x2811,x2811,f34(x2812,a1)) % 0.61/0.92 [151]E(f11(x1511,x1511,f34(x1512,a1)),x1511) % 0.61/0.92 [152]E(f12(x1521,x1521,f34(x1522,a1)),x1521) % 0.61/0.92 [154]E(f13(x1541,x1541,f34(x1542,a1)),f10(f34(x1542,a1))) % 0.61/0.92 [155]P14(x1551,f19(f34(x1552,a1)),x1552) % 0.61/0.92 [156]E(f16(f16(x1561,f34(x1562,a1)),f34(x1562,a1)),x1561) % 0.61/0.92 [159]P13(x1591,f19(f34(x1592,a1)),f34(x1592,a1)) % 0.61/0.92 [160]P13(f10(f34(x1601,a1)),x1602,f34(x1601,a1)) % 0.61/0.92 [161]E(f11(x1611,f10(f34(x1612,a1)),f34(x1612,a1)),x1611) % 0.61/0.92 [162]E(f13(x1621,f10(f34(x1622,a1)),f34(x1622,a1)),x1621) % 0.61/0.92 [163]E(f12(x1631,f19(f34(x1632,a1)),f34(x1632,a1)),x1631) % 0.61/0.92 [164]E(f11(f10(f34(x1641,a1)),x1642,f34(x1641,a1)),x1642) % 0.61/0.92 [165]E(f12(f19(f34(x1651,a1)),x1652,f34(x1651,a1)),x1652) % 0.61/0.92 [170]E(f11(x1701,f19(f34(x1702,a1)),f34(x1702,a1)),f19(f34(x1702,a1))) % 0.61/0.92 [171]E(f13(x1711,f19(f34(x1712,a1)),f34(x1712,a1)),f10(f34(x1712,a1))) % 0.61/0.92 [172]E(f12(x1721,f10(f34(x1722,a1)),f34(x1722,a1)),f10(f34(x1722,a1))) % 0.61/0.92 [173]E(f11(f19(f34(x1731,a1)),x1732,f34(x1731,a1)),f19(f34(x1731,a1))) % 0.61/0.92 [174]E(f13(f10(f34(x1741,a1)),x1742,f34(x1741,a1)),f10(f34(x1741,a1))) % 0.61/0.92 [175]E(f12(f10(f34(x1751,a1)),x1752,f34(x1751,a1)),f10(f34(x1751,a1))) % 0.61/0.92 [179]E(f13(f19(f34(x1791,a1)),x1792,f34(x1791,a1)),f16(x1792,f34(x1791,a1))) % 0.61/0.92 [180]E(f11(x1801,f16(x1801,f34(x1802,a1)),f34(x1802,a1)),f19(f34(x1802,a1))) % 0.61/0.92 [181]E(f12(x1811,f16(x1811,f34(x1812,a1)),f34(x1812,a1)),f10(f34(x1812,a1))) % 0.61/0.92 [182]E(f11(f16(x1821,f34(x1822,a1)),x1821,f34(x1822,a1)),f19(f34(x1822,a1))) % 0.61/0.92 [183]E(f12(f16(x1831,f34(x1832,a1)),x1831,f34(x1832,a1)),f10(f34(x1832,a1))) % 0.61/0.92 [286]~P14(x2861,f10(f34(x2862,a1)),x2862) % 0.61/0.92 [289]~P7(x2891,f10(f34(x2892,a1)),f34(x2892,a1)) % 0.61/0.92 [166]P5(x1661,f10(f34(f31(x1662),a1)),x1662) % 0.61/0.92 [167]P29(f20(f19(f34(x1671,a1)),x1672)) % 0.61/0.92 [290]~P29(f20(f10(f34(x2901,a1)),x2902)) % 0.61/0.92 [178]P14(x1781,f21(x1781,x1782,x1783),x1783) % 0.61/0.92 [185]P13(x1851,f21(x1852,x1851,x1853),f34(x1853,a1)) % 0.61/0.92 [267]~E(f8(x2671,x2672,x2673),a2) % 0.61/0.92 [268]~E(f9(x2681,x2682,x2683),a2) % 0.61/0.92 [168]E(f11(x1681,x1682,f34(x1683,a1)),f11(x1682,x1681,f34(x1683,a1))) % 0.61/0.92 [169]E(f12(x1691,x1692,f34(x1693,a1)),f12(x1692,x1691,f34(x1693,a1))) % 0.61/0.92 [187]E(f21(x1871,f21(x1871,x1872,x1873),x1873),f21(x1871,x1872,x1873)) % 0.61/0.92 [188]E(f12(x1881,f16(x1882,f34(x1883,a1)),f34(x1883,a1)),f13(x1881,x1882,f34(x1883,a1))) % 0.61/0.92 [189]E(f13(x1891,f16(x1892,f34(x1893,a1)),f34(x1893,a1)),f12(x1891,x1892,f34(x1893,a1))) % 0.61/0.92 [190]P13(x1901,f11(x1902,x1901,f34(x1903,a1)),f34(x1903,a1)) % 0.61/0.92 [191]P13(x1911,f11(x1911,x1912,f34(x1913,a1)),f34(x1913,a1)) % 0.61/0.92 [192]P13(f13(x1921,x1922,f34(x1923,a1)),x1921,f34(x1923,a1)) % 0.61/0.92 [193]P13(f12(x1931,x1932,f34(x1933,a1)),x1932,f34(x1933,a1)) % 0.61/0.92 [194]P13(f12(x1941,x1942,f34(x1943,a1)),x1941,f34(x1943,a1)) % 0.61/0.92 [195]P29(f20(f21(x1951,x1952,x1953),x1951)) % 0.61/0.92 [196]E(f12(x1961,f13(x1962,x1961,f34(x1963,a1)),f34(x1963,a1)),f10(f34(x1963,a1))) % 0.61/0.92 [198]P6(x1981,f10(f34(x1982,a1)),x1982,x1983) % 0.61/0.92 [200]E(f11(x2001,f11(x2001,x2002,f34(x2003,a1)),f34(x2003,a1)),f11(x2001,x2002,f34(x2003,a1))) % 0.61/0.92 [201]E(f11(x2011,f13(x2012,x2011,f34(x2013,a1)),f34(x2013,a1)),f11(x2011,x2012,f34(x2013,a1))) % 0.61/0.92 [202]E(f12(x2021,f12(x2021,x2022,f34(x2023,a1)),f34(x2023,a1)),f12(x2021,x2022,f34(x2023,a1))) % 0.61/0.92 [203]E(f11(f13(x2031,x2032,f34(x2033,a1)),x2032,f34(x2033,a1)),f11(x2031,x2032,f34(x2033,a1))) % 0.61/0.92 [204]E(f13(f13(x2041,x2042,f34(x2043,a1)),x2042,f34(x2043,a1)),f13(x2041,x2042,f34(x2043,a1))) % 0.61/0.92 [210]E(f11(f16(x2101,f34(x2102,a1)),x2103,f34(x2102,a1)),f16(f13(x2101,x2103,f34(x2102,a1)),f34(x2102,a1))) % 0.61/0.92 [211]E(f11(f21(x2111,f10(f34(x2112,a1)),x2112),x2113,f34(x2112,a1)),f21(x2111,x2113,x2112)) % 0.61/0.92 [212]E(f11(f13(x2121,x2122,f34(x2123,a1)),f12(x2121,x2122,f34(x2123,a1)),f34(x2123,a1)),x2121) % 0.61/0.92 [215]E(f12(f16(x2151,f34(x2152,a1)),f16(x2153,f34(x2152,a1)),f34(x2152,a1)),f16(f11(x2151,x2153,f34(x2152,a1)),f34(x2152,a1))) % 0.61/0.92 [216]E(f11(f16(x2161,f34(x2162,a1)),f16(x2163,f34(x2162,a1)),f34(x2162,a1)),f16(f12(x2161,x2163,f34(x2162,a1)),f34(x2162,a1))) % 0.61/0.92 [282]~E(f21(x2821,x2822,x2823),f10(f34(x2823,a1))) % 0.61/0.92 [283]~E(f10(f34(x2831,a1)),f21(x2832,x2833,x2831)) % 0.61/0.92 [207]E(f22(x2071,f10(f34(x2072,a1)),x2072,x2073),f10(f34(x2073,a1))) % 0.61/0.92 [208]E(f29(x2081,f10(f34(x2082,a1)),x2083,x2082),f10(f34(x2083,a1))) % 0.61/0.92 [209]E(f29(x2091,f19(f34(x2092,a1)),x2093,x2092),f19(f34(x2093,a1))) % 0.61/0.92 [236]E(f21(x2361,f13(x2362,f21(x2361,f10(f34(x2363,a1)),x2363),f34(x2363,a1)),x2363),f21(x2361,x2362,x2363)) % 0.61/0.92 [258]~E(f14(x2581,x2582),f3(x2583,x2584)) % 0.61/0.92 [261]~E(f15(x2611,x2612),f3(x2613,x2614)) % 0.61/0.92 [262]~E(f15(x2621,x2622),f14(x2623,x2624)) % 0.61/0.92 [205]E(f21(x2051,f21(x2052,x2053,x2054),x2054),f21(x2052,f21(x2051,x2053,x2054),x2054)) % 0.61/0.92 [217]E(f11(x2171,f11(x2172,x2173,f34(x2174,a1)),f34(x2174,a1)),f11(x2172,f11(x2171,x2173,f34(x2174,a1)),f34(x2174,a1))) % 0.61/0.92 [218]E(f12(x2181,f12(x2182,x2183,f34(x2184,a1)),f34(x2184,a1)),f12(x2182,f12(x2181,x2183,f34(x2184,a1)),f34(x2184,a1))) % 0.61/0.92 [219]E(f11(f11(x2191,x2192,f34(x2193,a1)),x2194,f34(x2193,a1)),f11(x2191,f11(x2192,x2194,f34(x2193,a1)),f34(x2193,a1))) % 0.61/0.92 [220]E(f13(f12(x2201,x2202,f34(x2203,a1)),x2204,f34(x2203,a1)),f12(x2201,f13(x2202,x2204,f34(x2203,a1)),f34(x2203,a1))) % 0.61/0.92 [221]E(f12(f12(x2211,x2212,f34(x2213,a1)),x2214,f34(x2213,a1)),f12(x2211,f12(x2212,x2214,f34(x2213,a1)),f34(x2213,a1))) % 0.61/0.92 [224]E(f12(f11(x2241,x2242,f34(x2243,a1)),f11(x2241,x2244,f34(x2243,a1)),f34(x2243,a1)),f11(x2241,f12(x2242,x2244,f34(x2243,a1)),f34(x2243,a1))) % 0.61/0.92 [225]E(f12(f13(x2251,x2252,f34(x2253,a1)),f13(x2251,x2254,f34(x2253,a1)),f34(x2253,a1)),f13(x2251,f11(x2252,x2254,f34(x2253,a1)),f34(x2253,a1))) % 0.61/0.92 [226]E(f11(f13(x2261,x2262,f34(x2263,a1)),f13(x2261,x2264,f34(x2263,a1)),f34(x2263,a1)),f13(x2261,f12(x2262,x2264,f34(x2263,a1)),f34(x2263,a1))) % 0.61/0.92 [227]E(f11(f12(x2271,x2272,f34(x2273,a1)),f12(x2271,x2274,f34(x2273,a1)),f34(x2273,a1)),f12(x2271,f11(x2272,x2274,f34(x2273,a1)),f34(x2273,a1))) % 0.61/0.92 [228]E(f13(f12(x2281,x2282,f34(x2283,a1)),f12(x2281,x2284,f34(x2283,a1)),f34(x2283,a1)),f12(x2281,f13(x2282,x2284,f34(x2283,a1)),f34(x2283,a1))) % 0.61/0.92 [229]E(f12(f11(x2291,x2292,f34(x2293,a1)),f11(x2294,x2292,f34(x2293,a1)),f34(x2293,a1)),f11(f12(x2291,x2294,f34(x2293,a1)),x2292,f34(x2293,a1))) % 0.61/0.92 [230]E(f11(f13(x2301,x2302,f34(x2303,a1)),f13(x2304,x2302,f34(x2303,a1)),f34(x2303,a1)),f13(f11(x2301,x2304,f34(x2303,a1)),x2302,f34(x2303,a1))) % 0.61/0.92 [231]E(f11(f12(x2311,x2312,f34(x2313,a1)),f12(x2314,x2312,f34(x2313,a1)),f34(x2313,a1)),f12(f11(x2311,x2314,f34(x2313,a1)),x2312,f34(x2313,a1))) % 0.61/0.92 [232]E(f13(f12(x2321,x2322,f34(x2323,a1)),f12(x2324,x2322,f34(x2323,a1)),f34(x2323,a1)),f12(f13(x2321,x2324,f34(x2323,a1)),x2322,f34(x2323,a1))) % 0.61/0.92 [233]E(f13(f12(x2331,x2332,f34(x2333,a1)),f12(x2334,x2332,f34(x2333,a1)),f34(x2333,a1)),f13(f12(x2331,x2332,f34(x2333,a1)),x2334,f34(x2333,a1))) % 0.61/0.92 [234]E(f13(f13(x2341,x2342,f34(x2343,a1)),f21(x2344,f10(f34(x2343,a1)),x2343),f34(x2343,a1)),f13(x2341,f21(x2344,x2342,x2343),f34(x2343,a1))) % 0.61/0.92 [237]E(f13(f13(x2371,f21(x2372,f10(f34(x2373,a1)),x2373),f34(x2373,a1)),x2374,f34(x2373,a1)),f13(x2371,f21(x2372,x2374,x2373),f34(x2373,a1))) % 0.61/0.92 [241]E(f22(x2411,f29(x2411,x2412,x2413,x2414),x2413,x2414),f12(x2412,f22(x2411,f19(f34(x2413,a1)),x2413,x2414),f34(x2414,a1))) % 0.61/0.92 [246]P13(f22(x2461,f29(x2461,x2462,x2463,x2464),x2463,x2464),x2462,f34(x2464,a1)) % 0.61/0.92 [248]E(f12(f12(f11(x2481,x2482,f34(x2483,a1)),f11(x2482,x2484,f34(x2483,a1)),f34(x2483,a1)),f11(x2484,x2481,f34(x2483,a1)),f34(x2483,a1)),f11(f11(f12(x2481,x2482,f34(x2483,a1)),f12(x2482,x2484,f34(x2483,a1)),f34(x2483,a1)),f12(x2484,x2481,f34(x2483,a1)),f34(x2483,a1))) % 0.61/0.92 [213]E(f21(x2131,f11(x2132,x2133,f34(x2134,a1)),x2134),f11(x2132,f21(x2131,x2133,x2134),f34(x2134,a1))) % 0.61/0.92 [214]E(f21(x2141,f11(x2142,x2143,f34(x2144,a1)),x2144),f11(f21(x2141,x2142,x2144),x2143,f34(x2144,a1))) % 0.61/0.92 [222]E(f12(f21(x2221,x2222,x2223),f21(x2221,x2224,x2223),f34(x2223,a1)),f21(x2221,f12(x2222,x2224,f34(x2223,a1)),x2223)) % 0.61/0.92 [235]P14(f20(x2351,x2352),f22(x2351,f19(f34(x2353,a1)),x2353,x2354),x2354) % 0.61/0.92 [238]E(f29(x2381,f16(x2382,f34(x2383,a1)),x2384,x2383),f16(f29(x2381,x2382,x2384,x2383),f34(x2384,a1))) % 0.61/0.92 [240]P14(x2401,f29(x2402,f21(f20(x2402,x2401),f10(f34(x2403,a1)),x2403),x2404,x2403),x2404) % 0.61/0.92 [269]~E(f3(x2691,x2692),f8(x2693,x2694,x2695)) % 0.61/0.92 [270]~E(f3(x2701,x2702),f9(x2703,x2704,x2705)) % 0.61/0.92 [271]~E(f14(x2711,x2712),f8(x2713,x2714,x2715)) % 0.61/0.92 [272]~E(f14(x2721,x2722),f9(x2723,x2724,x2725)) % 0.61/0.92 [273]~E(f15(x2731,x2732),f8(x2733,x2734,x2735)) % 0.61/0.92 [274]~E(f15(x2741,x2742),f9(x2743,x2744,x2745)) % 0.61/0.92 [275]~E(f8(x2751,x2752,x2753),f3(x2754,x2755)) % 0.61/0.92 [276]~E(f8(x2761,x2762,x2763),f14(x2764,x2765)) % 0.61/0.92 [277]~E(f8(x2771,x2772,x2773),f15(x2774,x2775)) % 0.61/0.92 [278]~E(f9(x2781,x2782,x2783),f3(x2784,x2785)) % 0.61/0.92 [279]~E(f9(x2791,x2792,x2793),f14(x2794,x2795)) % 0.61/0.92 [280]~E(f9(x2801,x2802,x2803),f15(x2804,x2805)) % 0.61/0.92 [239]E(f22(x2391,f21(x2392,x2393,x2394),x2394,x2395),f21(f20(x2391,x2392),f22(x2391,x2393,x2394,x2395),x2395)) % 0.61/0.92 [247]E(f11(f29(x2471,f21(x2472,f10(f34(x2473,a1)),x2473),x2474,x2473),f29(x2471,x2475,x2474,x2473),f34(x2474,a1)),f29(x2471,f21(x2472,x2475,x2473),x2474,x2473)) % 0.61/0.92 [242]E(f11(f22(x2421,x2422,x2423,x2424),f22(x2421,x2425,x2423,x2424),f34(x2424,a1)),f22(x2421,f11(x2422,x2425,f34(x2423,a1)),x2423,x2424)) % 0.61/0.92 [243]E(f11(f29(x2431,x2432,x2433,x2434),f29(x2431,x2435,x2433,x2434),f34(x2433,a1)),f29(x2431,f11(x2432,x2435,f34(x2434,a1)),x2433,x2434)) % 0.61/0.92 [244]E(f13(f29(x2441,x2442,x2443,x2444),f29(x2441,x2445,x2443,x2444),f34(x2443,a1)),f29(x2441,f13(x2442,x2445,f34(x2444,a1)),x2443,x2444)) % 0.61/0.92 [245]E(f12(f29(x2451,x2452,x2453,x2454),f29(x2451,x2455,x2453,x2454),f34(x2453,a1)),f29(x2451,f12(x2452,x2455,f34(x2454,a1)),x2453,x2454)) % 0.61/0.92 [249]P13(f22(x2491,f12(x2492,x2493,f34(x2494,a1)),x2494,x2495),f12(f22(x2491,x2492,x2494,x2495),f22(x2491,x2493,x2494,x2495),f34(x2495,a1)),f34(x2495,a1)) % 0.61/0.92 [250]P13(f13(f22(x2501,x2502,x2503,x2504),f22(x2501,x2505,x2503,x2504),f34(x2504,a1)),f22(x2501,f13(x2502,x2505,f34(x2503,a1)),x2503,x2504),f34(x2504,a1)) % 0.61/0.92 [288]~E(f9(x2881,x2882,x2883),f8(x2884,x2885,x2886)) % 0.61/0.92 [292]~E(f38(x2921),x2921)+~P3(a5000) % 0.61/0.92 [293]~P11(x2931)+P11(f32(x2931)) % 0.61/0.92 [295]~P9(x2951)+E(f16(f10(x2951),x2951),f19(x2951)) % 0.61/0.92 [296]~P9(x2961)+E(f16(f19(x2961),x2961),f10(x2961)) % 0.61/0.92 [294]~P11(x2942)+P4(x2941,x2942) % 0.61/0.92 [333]~P26(x3332)+P13(x3331,x3331,x3332) % 0.61/0.92 [334]~P27(x3342)+P13(x3341,x3341,x3342) % 0.61/0.92 [357]~P7(x3572,x3572,x3571)+~P15(x3571) % 0.61/0.92 [358]~P7(x3582,x3582,x3581)+~P26(x3581) % 0.61/0.92 [359]~P7(x3592,x3592,x3591)+~P27(x3591) % 0.61/0.92 [298]~P9(x2982)+P9(f34(x2981,x2982)) % 0.61/0.92 [299]~P26(x2992)+P26(f34(x2991,x2992)) % 0.61/0.92 [300]~P27(x3002)+P27(f34(x3001,x3002)) % 0.61/0.92 [301]~P19(x3012)+P16(f34(x3011,x3012)) % 0.61/0.92 [302]~P17(x3022)+P17(f34(x3021,x3022)) % 0.61/0.92 [303]~P10(x3032)+P10(f34(x3031,x3032)) % 0.61/0.92 [304]~P18(x3042)+P18(f34(x3041,x3042)) % 0.61/0.92 [305]~P19(x3052)+P19(f34(x3051,x3052)) % 0.61/0.92 [306]~P19(x3062)+P20(f34(x3061,x3062)) % 0.61/0.92 [307]~P28(x3072)+P28(f34(x3071,x3072)) % 0.61/0.92 [308]~P21(x3082)+P21(f34(x3081,x3082)) % 0.61/0.92 [309]~P2(x3092)+P2(f15(x3091,x3092)) % 0.61/0.92 [324]P2(x3241)+~P2(f14(x3242,x3241)) % 0.61/0.92 [325]P2(x3251)+~P2(f14(x3251,x3252)) % 0.61/0.92 [326]P2(x3261)+~P2(f15(x3262,x3261)) % 0.61/0.92 [335]~P16(x3352)+E(f11(x3351,x3351,x3352),x3351) % 0.61/0.92 [336]~P20(x3362)+E(f12(x3361,x3361,x3362),x3361) % 0.61/0.92 [337]~P28(x3372)+P13(x3371,f19(x3372),x3372) % 0.61/0.92 [338]~P21(x3381)+P13(f10(x3381),x3382,x3381) % 0.61/0.92 [321]~P9(x3212)+E(f16(f16(x3211,x3212),x3212),x3211) % 0.61/0.92 [323]~P22(x3232)+E(f16(f16(x3231,x3232),x3232),x3231) % 0.61/0.92 [339]~P18(x3392)+E(f11(x3391,f10(x3392),x3392),x3391) % 0.61/0.92 [340]~P18(x3402)+E(f12(x3401,f19(x3402),x3402),x3401) % 0.61/0.92 [341]~P18(x3411)+E(f11(f10(x3411),x3412,x3411),x3412) % 0.61/0.92 [342]~P18(x3421)+E(f12(f19(x3421),x3422,x3421),x3422) % 0.61/0.92 [343]~P18(x3432)+E(f11(x3431,f19(x3432),x3432),f19(x3432)) % 0.61/0.92 [344]~P18(x3442)+E(f12(x3441,f10(x3442),x3442),f10(x3442)) % 0.61/0.92 [345]~P18(x3451)+E(f11(f19(x3451),x3452,x3451),f19(x3451)) % 0.61/0.92 [346]~P18(x3461)+E(f12(f10(x3461),x3462,x3461),f10(x3461)) % 0.61/0.92 [348]~P15(x3482)+E(f16(f23(x3481,x3482),f34(x3482,a1)),f25(x3481,x3482)) % 0.61/0.92 [349]~P15(x3492)+E(f16(f24(x3491,x3492),f34(x3492,a1)),f28(x3491,x3492)) % 0.61/0.92 [350]~P15(x3502)+E(f16(f28(x3501,x3502),f34(x3502,a1)),f24(x3501,x3502)) % 0.61/0.92 [351]~P15(x3512)+E(f16(f25(x3511,x3512),f34(x3512,a1)),f23(x3511,x3512)) % 0.61/0.92 [353]~P9(x3532)+E(f11(x3531,f16(x3531,x3532),x3532),f19(x3532)) % 0.61/0.92 [354]~P9(x3542)+E(f12(x3541,f16(x3541,x3542),x3542),f10(x3542)) % 0.61/0.92 [355]~P9(x3552)+E(f11(f16(x3551,x3552),x3551,x3552),f19(x3552)) % 0.61/0.92 [356]~P9(x3562)+E(f12(f16(x3561,x3562),x3561,x3562),f10(x3562)) % 0.61/0.92 [507]~P13(x5071,f10(f34(x5072,a1)),f34(x5072,a1))+E(x5071,f10(f34(x5072,a1))) % 0.61/0.92 [540]~P13(x5401,f16(x5401,f34(x5402,a1)),f34(x5402,a1))+E(x5401,f10(f34(x5402,a1))) % 0.61/0.92 [600]~P15(x6002)+E(f11(f28(x6001,x6002),f21(x6001,f10(f34(x6002,a1)),x6002),f34(x6002,a1)),f25(x6001,x6002)) % 0.61/0.92 [601]~P15(x6012)+E(f11(f21(x6011,f10(f34(x6012,a1)),x6012),f23(x6011,x6012),f34(x6012,a1)),f24(x6011,x6012)) % 0.61/0.92 [409]~P26(x4092)+E(f26(x4091,x4091,x4092),f21(x4091,f10(f34(x4092,a1)),x4092)) % 0.61/0.92 [522]~P26(x5222)+E(f12(f25(x5221,x5222),f24(x5221,x5222),f34(x5222,a1)),f21(x5221,f10(f34(x5222,a1)),x5222)) % 0.61/0.92 [639]~P26(x6392)+E(f13(f21(x6391,f10(f34(x6392,a1)),x6392),f28(x6391,x6392),f34(x6392,a1)),f21(x6391,f10(f34(x6392,a1)),x6392)) % 0.61/0.92 [352]E(x3521,x3522)+~P12(x3521,x3522,x3523) % 0.61/0.92 [383]~P5(x3831,x3832,x3833)+P8(x3831,x3832,x3833) % 0.61/0.92 [318]E(x3181,x3182)+~E(f17(x3181,x3183),f17(x3182,x3183)) % 0.61/0.92 [360]P14(x3601,x3602,x3603)+~P29(f20(x3602,x3601)) % 0.61/0.92 [365]~P16(x3653)+E(f11(x3651,x3652,x3653),f11(x3652,x3651,x3653)) % 0.61/0.92 [366]~P19(x3663)+E(f11(x3661,x3662,x3663),f11(x3662,x3661,x3663)) % 0.61/0.92 [367]~P19(x3673)+E(f12(x3671,x3672,x3673),f12(x3672,x3671,x3673)) % 0.61/0.92 [368]~P20(x3683)+E(f12(x3681,x3682,x3683),f12(x3682,x3681,x3683)) % 0.61/0.92 [369]~P14(x3692,x3691,x3693)+P29(f20(x3691,x3692)) % 0.61/0.92 [375]~P2(x3753)+P2(f8(x3751,x3752,x3753)) % 0.61/0.92 [384]~P14(x3841,x3842,x3843)+E(f21(x3841,x3842,x3843),x3842) % 0.61/0.92 [390]~P4(x3902,x3903)+P4(f21(x3901,x3902,x3903),x3903) % 0.61/0.92 [410]~P16(x4103)+P13(x4101,f11(x4102,x4101,x4103),x4103) % 0.61/0.92 [411]~P19(x4113)+P13(x4111,f11(x4112,x4111,x4113),x4113) % 0.61/0.92 [412]~P16(x4123)+P13(x4121,f11(x4121,x4122,x4123),x4123) % 0.61/0.92 [413]~P19(x4133)+P13(x4131,f11(x4131,x4132,x4133),x4133) % 0.61/0.92 [414]~P19(x4143)+P13(f12(x4141,x4142,x4143),x4142,x4143) % 0.61/0.92 [415]~P20(x4153)+P13(f12(x4151,x4152,x4153),x4152,x4153) % 0.61/0.92 [416]~P19(x4163)+P13(f12(x4161,x4162,x4163),x4161,x4163) % 0.61/0.92 [417]~P20(x4173)+P13(f12(x4171,x4172,x4173),x4171,x4173) % 0.61/0.92 [432]P2(x4321)+~P2(f8(x4322,x4323,x4321)) % 0.61/0.92 [433]P2(x4331)+~P2(f9(x4332,x4333,x4331)) % 0.61/0.92 [434]P2(x4341)+~P2(f9(x4342,x4341,x4343)) % 0.61/0.92 [462]~P7(x4621,x4622,f34(x4623,a1))+P13(x4621,x4622,f34(x4623,a1)) % 0.61/0.92 [475]P4(x4751,x4752)+~P4(f21(x4753,x4751,x4752),x4752) % 0.61/0.92 [376]E(x3761,x3762)+~E(f16(x3761,f34(x3763,a1)),f16(x3762,f34(x3763,a1))) % 0.61/0.92 [385]~P9(x3853)+E(f12(x3851,f16(x3852,x3853),x3853),f13(x3851,x3852,x3853)) % 0.61/0.92 [418]~P19(x4183)+E(f11(x4181,f12(x4181,x4182,x4183),x4183),x4181) % 0.61/0.92 [419]~P19(x4193)+E(f12(x4191,f11(x4191,x4192,x4193),x4193),x4191) % 0.61/0.92 [445]P14(x4451,x4452,x4453)+P14(x4451,f16(x4452,f34(x4453,a1)),x4453) % 0.61/0.92 [449]~P23(x4493)+E(f16(f13(x4491,x4492,x4493),x4493),f13(x4492,x4491,x4493)) % 0.61/0.92 [455]~P4(x4551,x4553)+P4(f13(x4551,x4552,f34(x4553,a1)),x4553) % 0.61/0.92 [456]~P4(x4562,x4563)+P4(f12(x4561,x4562,f34(x4563,a1)),x4563) % 0.61/0.92 [457]~P4(x4571,x4573)+P4(f12(x4571,x4572,f34(x4573,a1)),x4573) % 0.61/0.92 [458]E(x4581,f10(f34(x4582,a1)))+~E(f11(x4583,x4581,f34(x4582,a1)),f10(f34(x4582,a1))) % 0.61/0.92 [459]E(x4591,f10(f34(x4592,a1)))+~E(f11(x4591,x4593,f34(x4592,a1)),f10(f34(x4592,a1))) % 0.61/0.92 [460]P5(x4601,x4602,x4603)+~P13(x4602,x4601,f34(f31(x4603),a1)) % 0.61/0.92 [467]~P13(x4671,x4672,f34(x4673,a1))+E(f11(x4671,x4672,f34(x4673,a1)),x4672) % 0.61/0.92 [468]~P13(x4682,x4681,f34(x4683,a1))+E(f11(x4681,x4682,f34(x4683,a1)),x4681) % 0.61/0.92 [469]~P13(x4692,x4691,f34(x4693,a1))+E(f12(x4691,x4692,f34(x4693,a1)),x4692) % 0.61/0.92 [470]~P13(x4701,x4702,f34(x4703,a1))+E(f12(x4701,x4702,f34(x4703,a1)),x4701) % 0.61/0.92 [471]P13(x4711,x4712,f34(x4713,a1))+~E(f11(x4711,x4712,f34(x4713,a1)),x4712) % 0.61/0.92 [495]~P16(x4953)+E(f11(x4951,f11(x4951,x4952,x4953),x4953),f11(x4951,x4952,x4953)) % 0.61/0.92 [496]~P19(x4963)+E(f11(x4961,f11(x4961,x4962,x4963),x4963),f11(x4961,x4962,x4963)) % 0.61/0.92 [497]~P19(x4973)+E(f12(x4971,f12(x4971,x4972,x4973),x4973),f12(x4971,x4972,x4973)) % 0.61/0.92 [498]~P20(x4983)+E(f12(x4981,f12(x4981,x4982,x4983),x4983),f12(x4981,x4982,x4983)) % 0.61/0.92 [508]~P9(x5082)+E(f12(f16(x5081,x5082),f16(x5083,x5082),x5082),f16(f11(x5081,x5083,x5082),x5082)) % 0.61/0.92 [509]~P25(x5092)+E(f12(f16(x5091,x5092),f16(x5093,x5092),x5092),f16(f11(x5091,x5093,x5092),x5092)) % 0.61/0.92 [510]~P9(x5102)+E(f11(f16(x5101,x5102),f16(x5103,x5102),x5102),f16(f12(x5101,x5103,x5102),x5102)) % 0.61/0.92 [511]~P25(x5112)+E(f11(f16(x5111,x5112),f16(x5113,x5112),x5112),f16(f12(x5111,x5113,x5112),x5112)) % 0.61/0.92 [521]E(f13(x5211,x5212,f34(x5213,a1)),x5211)+~E(f12(x5211,x5212,f34(x5213,a1)),f10(f34(x5213,a1))) % 0.61/0.92 [523]~P26(x5232)+E(f12(f28(x5231,x5232),f26(x5231,x5233,x5232),f34(x5232,a1)),f10(f34(x5232,a1))) % 0.61/0.92 [524]~P26(x5242)+E(f12(f28(x5241,x5242),f27(x5241,x5243,x5242),f34(x5242,a1)),f10(f34(x5242,a1))) % 0.61/0.92 [525]~P26(x5253)+E(f12(f26(x5251,x5252,x5253),f23(x5252,x5253),f34(x5253,a1)),f10(f34(x5253,a1))) % 0.61/0.92 [526]~P26(x5263)+E(f12(f27(x5261,x5262,x5263),f24(x5262,x5263),f34(x5263,a1)),f10(f34(x5263,a1))) % 0.61/0.92 [550]P4(x5501,x5502)+~P4(f11(x5503,x5501,f34(x5502,a1)),x5502) % 0.61/0.92 [551]P4(x5511,x5512)+~P4(f11(x5511,x5513,f34(x5512,a1)),x5512) % 0.61/0.92 [555]~P14(x5551,x5552,x5553)+~P14(x5551,f16(x5552,f34(x5553,a1)),x5553) % 0.61/0.92 [565]P13(x5651,f16(x5652,f34(x5653,a1)),f34(x5653,a1))+~E(f12(x5651,x5652,f34(x5653,a1)),f10(f34(x5653,a1))) % 0.61/0.92 [584]P13(x5841,x5842,f34(x5843,a1))+P29(f20(x5841,f5(x5841,x5842,x5843))) % 0.61/0.92 [604]~P13(x6041,f16(x6042,f34(x6043,a1)),f34(x6043,a1))+E(f12(x6041,x6042,f34(x6043,a1)),f10(f34(x6043,a1))) % 0.61/0.92 [612]~P13(x6123,x6121,f34(x6122,a1))+P13(f16(x6121,f34(x6122,a1)),f16(x6123,f34(x6122,a1)),f34(x6122,a1)) % 0.61/0.92 [617]~P13(x6171,x6172,f34(x6173,a1))+E(f11(x6171,f13(x6172,x6171,f34(x6173,a1)),f34(x6173,a1)),x6172) % 0.61/0.92 [638]P13(x6381,x6382,f34(x6383,a1))+~P13(f16(x6382,f34(x6383,a1)),f16(x6381,f34(x6383,a1)),f34(x6383,a1)) % 0.61/0.92 [653]P14(x6531,x6532,x6533)+E(f13(f21(x6531,x6532,x6533),f21(x6531,f10(f34(x6533,a1)),x6533),f34(x6533,a1)),x6532) % 0.61/0.92 [657]P13(x6571,x6572,f34(x6573,a1))+~P29(f20(x6572,f5(x6571,x6572,x6573))) % 0.61/0.92 [556]~P25(x5562)+E(f16(f12(f16(x5561,x5562),f16(x5563,x5562),x5562),x5562),f11(x5561,x5563,x5562)) % 0.61/0.92 [557]~P25(x5572)+E(f16(f11(f16(x5571,x5572),f16(x5573,x5572),x5572),x5572),f12(x5571,x5573,x5572)) % 0.61/0.92 [602]E(x6021,x6022)+~E(f21(x6021,f10(f34(x6023,a1)),x6023),f21(x6022,f10(f34(x6023,a1)),x6023)) % 0.61/0.92 [635]E(x6351,x6352)+~P14(x6351,f21(x6352,f10(f34(x6353,a1)),x6353),x6353) % 0.61/0.92 [706]~P14(x7061,x7062,x7063)+E(f21(x7061,f13(x7062,f21(x7061,f10(f34(x7063,a1)),x7063),f34(x7063,a1)),x7063),x7062) % 0.61/0.92 [312]E(x3121,x3122)+~E(f3(x3123,x3121),f3(x3124,x3122)) % 0.61/0.92 [313]E(x3131,x3132)+~E(f14(x3133,x3131),f14(x3134,x3132)) % 0.61/0.92 [314]E(x3141,x3142)+~E(f15(x3143,x3141),f15(x3144,x3142)) % 0.61/0.92 [315]E(x3151,x3152)+~E(f3(x3151,x3153),f3(x3152,x3154)) % 0.61/0.92 [316]E(x3161,x3162)+~E(f14(x3161,x3163),f14(x3162,x3164)) % 0.61/0.92 [317]E(x3171,x3172)+~E(f15(x3171,x3173),f15(x3172,x3174)) % 0.61/0.92 [530]~P14(x5301,x5303,x5304)+P14(x5301,f21(x5302,x5303,x5304),x5304) % 0.61/0.92 [563]~P13(x5631,x5633,f34(x5634,a1))+P13(x5631,f21(x5632,x5633,x5634),f34(x5634,a1)) % 0.61/0.92 [613]P14(x6131,x6132,x6133)+~P13(f21(x6131,x6134,x6133),x6132,f34(x6133,a1)) % 0.61/0.92 [621]~P13(f21(x6214,x6211,x6213),x6212,f34(x6213,a1))+P13(x6211,x6212,f34(x6213,a1)) % 0.61/0.92 [632]~P13(x6322,x6324,f34(x6323,a1))+P13(f21(x6321,x6322,x6323),f21(x6321,x6324,x6323),f34(x6323,a1)) % 0.61/0.92 [672]~P4(x6722,x6723)+P4(f22(x6721,x6722,x6723,x6724),x6724) % 0.61/0.92 [558]~P29(f20(x5582,x5584))+P29(f20(f21(x5581,x5582,x5583),x5584)) % 0.61/0.92 [559]~P14(x5591,x5593,x5594)+P14(x5591,f11(x5592,x5593,f34(x5594,a1)),x5594) % 0.61/0.92 [560]~P14(x5601,x5602,x5604)+P14(x5601,f11(x5602,x5603,f34(x5604,a1)),x5604) % 0.61/0.92 [574]P14(x5742,x5741,x5744)+E(f12(x5741,f21(x5742,x5743,x5744),f34(x5744,a1)),f12(x5741,x5743,f34(x5744,a1))) % 0.61/0.92 [575]P14(x5751,x5754,x5753)+E(f12(f21(x5751,x5752,x5753),x5754,f34(x5753,a1)),f12(x5752,x5754,f34(x5753,a1))) % 0.61/0.92 [589]~P26(x5893)+E(f12(f27(x5891,x5892,x5893),f26(x5892,x5894,x5893),f34(x5893,a1)),f10(f34(x5893,a1))) % 0.61/0.92 [590]~P26(x5903)+E(f12(f27(x5901,x5902,x5903),f27(x5902,x5904,x5903),f34(x5903,a1)),f10(f34(x5903,a1))) % 0.61/0.92 [591]P5(x5911,x5912,x5913)+~P5(x5911,f21(x5914,x5912,f31(x5913)),x5913) % 0.61/0.92 [592]~P16(x5924)+E(f11(x5921,f11(x5922,x5923,x5924),x5924),f11(x5922,f11(x5921,x5923,x5924),x5924)) % 0.61/0.92 [593]~P19(x5934)+E(f11(x5931,f11(x5932,x5933,x5934),x5934),f11(x5932,f11(x5931,x5933,x5934),x5934)) % 0.61/0.92 [594]~P19(x5944)+E(f12(x5941,f12(x5942,x5943,x5944),x5944),f12(x5942,f12(x5941,x5943,x5944),x5944)) % 0.61/0.92 [595]~P20(x5954)+E(f12(x5951,f12(x5952,x5953,x5954),x5954),f12(x5952,f12(x5951,x5953,x5954),x5954)) % 0.61/0.92 [596]~P16(x5963)+E(f11(f11(x5961,x5962,x5963),x5964,x5963),f11(x5961,f11(x5962,x5964,x5963),x5963)) % 0.61/0.92 [597]~P19(x5973)+E(f11(f11(x5971,x5972,x5973),x5974,x5973),f11(x5971,f11(x5972,x5974,x5973),x5973)) % 0.61/0.92 [598]~P19(x5983)+E(f12(f12(x5981,x5982,x5983),x5984,x5983),f12(x5981,f12(x5982,x5984,x5983),x5983)) % 0.61/0.92 [599]~P20(x5993)+E(f12(f12(x5991,x5992,x5993),x5994,x5993),f12(x5991,f12(x5992,x5994,x5993),x5993)) % 0.61/0.92 [614]~P14(x6141,x6144,x6143)+E(f13(f21(x6141,x6142,x6143),x6144,f34(x6143,a1)),f13(x6142,x6144,f34(x6143,a1))) % 0.61/0.92 [624]P14(x6241,x6242,x6243)+~P14(x6241,f13(x6242,x6244,f34(x6243,a1)),x6243) % 0.61/0.92 [625]P14(x6251,x6252,x6253)+~P14(x6251,f12(x6254,x6252,f34(x6253,a1)),x6253) % 0.61/0.92 [626]P14(x6261,x6262,x6263)+~P14(x6261,f12(x6262,x6264,f34(x6263,a1)),x6263) % 0.61/0.92 [631]~P14(x6311,x6312,x6313)+~P14(x6311,f13(x6314,x6312,f34(x6313,a1)),x6313) % 0.61/0.92 [642]~P17(x6423)+E(f12(f11(x6421,x6422,x6423),f11(x6421,x6424,x6423),x6423),f11(x6421,f12(x6422,x6424,x6423),x6423)) % 0.61/0.92 [643]~P17(x6433)+E(f11(f12(x6431,x6432,x6433),f12(x6431,x6434,x6433),x6433),f12(x6431,f11(x6432,x6434,x6433),x6433)) % 0.61/0.92 [644]~P17(x6443)+E(f12(f11(x6441,x6442,x6443),f11(x6444,x6442,x6443),x6443),f11(f12(x6441,x6444,x6443),x6442,x6443)) % 0.61/0.92 [645]~P17(x6453)+E(f11(f12(x6451,x6452,x6453),f12(x6454,x6452,x6453),x6453),f12(f11(x6451,x6454,x6453),x6452,x6453)) % 0.61/0.92 [647]P13(x6471,x6472,f34(x6473,a1))+~P13(x6471,f12(x6474,x6472,f34(x6473,a1)),f34(x6473,a1)) % 0.61/0.92 [648]P13(x6481,x6482,f34(x6483,a1))+~P13(x6481,f12(x6482,x6484,f34(x6483,a1)),f34(x6483,a1)) % 0.61/0.92 [649]P13(x6491,x6492,f34(x6493,a1))+~P13(f11(x6494,x6491,f34(x6493,a1)),x6492,f34(x6493,a1)) % 0.61/0.92 [650]P13(x6501,x6502,f34(x6503,a1))+~P13(f11(x6501,x6504,f34(x6503,a1)),x6502,f34(x6503,a1)) % 0.61/0.92 [656]~E(f22(x6563,x6561,x6562,x6564),f10(f34(x6564,a1)))+E(x6561,f10(f34(x6562,a1))) % 0.61/0.92 [678]~P13(x6783,x6781,f34(x6784,a1))+E(f12(x6781,f11(x6782,x6783,f34(x6784,a1)),f34(x6784,a1)),f11(f12(x6781,x6782,f34(x6784,a1)),x6783,f34(x6784,a1))) % 0.61/0.92 [681]~P13(f13(x6811,x6812,f34(x6814,a1)),x6813,f34(x6814,a1))+P13(x6811,f11(x6812,x6813,f34(x6814,a1)),f34(x6814,a1)) % 0.61/0.92 [682]~P13(x6821,f11(x6822,x6824,f34(x6823,a1)),f34(x6823,a1))+P13(f13(x6821,x6822,f34(x6823,a1)),x6824,f34(x6823,a1)) % 0.61/0.92 [683]~P5(x6831,f21(x6832,x6834,f31(x6833)),x6833)+P5(x6831,f21(x6832,f10(f34(f31(x6833),a1)),f31(x6833)),x6833) % 0.61/0.92 [695]~P4(f13(x6951,x6953,f34(x6954,a1)),x6954)+P4(f13(x6951,f21(x6952,x6953,x6954),f34(x6954,a1)),x6954) % 0.61/0.92 [708]~P4(f13(x7081,f21(x7084,x7082,x7083),f34(x7083,a1)),x7083)+P4(f13(x7081,x7082,f34(x7083,a1)),x7083) % 0.61/0.92 [711]P13(x7111,x7112,f34(x7113,a1))+~E(f12(x7112,f11(x7114,x7111,f34(x7113,a1)),f34(x7113,a1)),f11(f12(x7112,x7114,f34(x7113,a1)),x7111,f34(x7113,a1))) % 0.61/0.92 [720]~P19(x7204)+P13(f11(x7201,f12(x7202,x7203,x7204),x7204),f12(f11(x7201,x7202,x7204),f11(x7201,x7203,x7204),x7204),x7204) % 0.61/0.92 [721]~P19(x7213)+P13(f11(f12(x7211,x7212,x7213),f12(x7211,x7214,x7213),x7213),f12(x7211,f11(x7212,x7214,x7213),x7213),x7213) % 0.61/0.92 [736]~P6(x7361,f19(f34(x7363,a1)),x7363,x7364)+E(f29(x7361,f22(x7361,x7362,x7363,x7364),x7363,x7364),x7362) % 0.61/0.92 [627]~P29(f20(x6272,x6274))+P29(f20(f11(x6271,x6272,f34(x6273,a1)),x6274)) % 0.61/0.92 [628]~P29(f20(x6281,x6284))+P29(f20(f11(x6281,x6282,f34(x6283,a1)),x6284)) % 0.61/0.92 [652]P14(x6521,x6524,x6523)+E(f13(f21(x6521,x6522,x6523),x6524,f34(x6523,a1)),f21(x6521,f13(x6522,x6524,f34(x6523,a1)),x6523)) % 0.61/0.92 [664]~P14(x6641,x6642,x6644)+E(f21(x6641,f12(x6642,x6643,f34(x6644,a1)),x6644),f12(x6642,f21(x6641,x6643,x6644),f34(x6644,a1))) % 0.61/0.92 [665]~P14(x6651,x6653,x6654)+E(f21(x6651,f12(x6652,x6653,f34(x6654,a1)),x6654),f12(f21(x6651,x6652,x6654),x6653,f34(x6654,a1))) % 0.61/0.92 [674]P29(f20(x6741,x6742))+~P29(f20(f12(x6743,x6741,f34(x6744,a1)),x6742)) % 0.61/0.92 [675]P29(f20(x6751,x6752))+~P29(f20(f12(x6751,x6753,f34(x6754,a1)),x6752)) % 0.61/0.92 [757]~P6(x7571,f19(f34(x7573,a1)),x7573,x7574)+P13(f22(x7571,f16(x7572,f34(x7573,a1)),x7573,x7574),f16(f22(x7571,x7572,x7573,x7574),f34(x7574,a1)),f34(x7574,a1)) % 0.61/0.92 [701]~P14(x7012,x7013,x7014)+P14(f20(x7011,x7012),f22(x7011,x7013,x7014,x7015),x7015) % 0.61/0.92 [705]~P14(f20(x7052,x7051),x7053,x7055)+P14(x7051,f29(x7052,x7053,x7054,x7055),x7054) % 0.61/0.92 [712]P6(x7121,x7122,x7123,x7124)+~P6(x7121,f21(x7125,x7122,x7123),x7123,x7124) % 0.61/0.92 [724]~P14(x7242,f29(x7241,x7243,x7245,x7244),x7245)+P14(f20(x7241,x7242),x7243,x7244) % 0.61/0.92 [733]~P13(x7332,x7335,f34(x7333,a1))+P13(f22(x7331,x7332,x7333,x7334),f22(x7331,x7335,x7333,x7334),f34(x7334,a1)) % 0.61/0.92 [734]~P13(x7342,x7345,f34(x7344,a1))+P13(f29(x7341,x7342,x7343,x7344),f29(x7341,x7345,x7343,x7344),f34(x7343,a1)) % 0.61/0.92 [710]~P6(x7101,x7102,x7104,x7105)+P6(x7101,f13(x7102,x7103,f34(x7104,a1)),x7104,x7105) % 0.61/0.92 [717]P6(x7171,x7172,x7173,x7174)+~P6(x7171,f11(x7175,x7172,f34(x7173,a1)),x7173,x7174) % 0.61/0.92 [718]P6(x7181,x7182,x7183,x7184)+~P6(x7181,f11(x7182,x7185,f34(x7183,a1)),x7183,x7184) % 0.61/0.92 [719]~P14(x7192,x7193,x7194)+E(f21(f20(x7191,x7192),f22(x7191,x7193,x7194,x7195),x7195),f22(x7191,x7193,x7194,x7195)) % 0.61/0.92 [730]~P29(f20(x7302,f20(x7301,x7305)))+P29(f20(f29(x7301,x7302,x7303,x7304),x7305)) % 0.61/0.92 [750]P29(f20(x7501,f20(x7502,x7503)))+~P29(f20(f29(x7502,x7501,x7504,x7505),x7503)) % 0.61/0.92 [758]~P6(x7581,f11(x7582,x7583,f34(x7584,a1)),x7584,x7585)+E(f12(f22(x7581,f13(x7582,x7583,f34(x7584,a1)),x7584,x7585),f22(x7581,f13(x7583,x7582,f34(x7584,a1)),x7584,x7585),f34(x7585,a1)),f10(f34(x7585,a1))) % 0.61/0.92 [751]~P6(x7511,f19(f34(x7513,a1)),x7513,x7514)+E(f13(f22(x7511,x7512,x7513,x7514),f22(x7511,x7515,x7513,x7514),f34(x7514,a1)),f22(x7511,f13(x7512,x7515,f34(x7513,a1)),x7513,x7514)) % 0.61/0.92 [752]~P6(x7521,f19(f34(x7523,a1)),x7523,x7524)+E(f12(f22(x7521,x7522,x7523,x7524),f22(x7521,x7525,x7523,x7524),f34(x7524,a1)),f22(x7521,f12(x7522,x7525,f34(x7523,a1)),x7523,x7524)) % 0.61/0.92 [760]~P6(x7601,f21(x7602,x7603,x7604),x7604,x7605)+~P14(f20(x7601,x7602),f22(x7601,f13(x7603,f21(x7602,f10(f34(x7604,a1)),x7604),f34(x7604,a1)),x7604,x7605),x7605) % 0.61/0.92 [747]E(f20(x7471,x7472),x7473)+~P14(x7472,f29(x7471,f21(x7473,f10(f34(x7474,a1)),x7474),x7475,x7474),x7475) % 0.61/0.92 [420]E(x4201,x4202)+~E(f8(x4203,x4204,x4201),f8(x4205,x4206,x4202)) % 0.61/0.92 [421]E(x4211,x4212)+~E(f9(x4213,x4214,x4211),f9(x4215,x4216,x4212)) % 0.61/0.92 [422]E(x4221,x4222)+~E(f8(x4223,x4221,x4224),f8(x4225,x4222,x4226)) % 0.61/0.92 [423]E(x4231,x4232)+~E(f9(x4233,x4231,x4234),f9(x4235,x4232,x4236)) % 0.61/0.92 [424]E(x4241,x4242)+~E(f8(x4241,x4243,x4244),f8(x4242,x4245,x4246)) % 0.61/0.92 [425]E(x4251,x4252)+~E(f9(x4251,x4253,x4254),f9(x4252,x4255,x4256)) % 0.61/0.92 [297]P2(x2971)+~E(f4(x2972),f17(x2971,a30))+~P1(a5000) % 0.61/0.92 [310]~P11(x3102)+~P11(x3101)+P11(f34(x3101,x3102)) % 0.61/0.92 [311]~P2(x3112)+~P2(x3111)+P2(f14(x3111,x3112)) % 0.61/0.92 [480]~P4(x4801,x4802)+P4(f16(x4801,f34(x4802,a1)),x4802)+~P4(f19(f34(x4802,a1)),x4802) % 0.61/0.92 [503]~P4(x5032,x5031)+~P4(f16(x5032,f34(x5031,a1)),x5031)+P4(f19(f34(x5031,a1)),x5031) % 0.61/0.92 [370]P13(x3702,x3701,x3703)+~P15(x3703)+P13(x3701,x3702,x3703) % 0.61/0.92 [373]P7(x3732,x3731,x3733)+~P15(x3733)+P13(x3731,x3732,x3733) % 0.61/0.92 [391]~P26(x3913)+~P7(x3911,x3912,x3913)+P13(x3911,x3912,x3913) % 0.61/0.92 [392]~P27(x3923)+~P7(x3921,x3922,x3923)+P13(x3921,x3922,x3923) % 0.61/0.92 [436]~P7(x4363,x4362,x4361)+~P15(x4361)+~P13(x4362,x4363,x4361) % 0.61/0.92 [438]~P7(x4383,x4382,x4381)+~P15(x4381)+~P7(x4382,x4383,x4381) % 0.61/0.92 [439]~P7(x4393,x4392,x4391)+~P26(x4391)+~P7(x4392,x4393,x4391) % 0.61/0.92 [440]~P7(x4403,x4402,x4401)+~P27(x4401)+~P13(x4402,x4403,x4401) % 0.61/0.92 [442]~P7(x4423,x4422,x4421)+~P27(x4421)+~P7(x4422,x4423,x4421) % 0.61/0.92 [327]~P9(x3273)+E(x3271,x3272)+~E(f16(x3271,x3273),f16(x3272,x3273)) % 0.61/0.92 [328]~P22(x3283)+E(x3281,x3282)+~E(f16(x3281,x3283),f16(x3282,x3283)) % 0.61/0.92 [329]~P15(x3293)+E(x3291,x3292)+~E(f23(x3291,x3293),f23(x3292,x3293)) % 0.61/0.92 [330]~P15(x3303)+E(x3301,x3302)+~E(f24(x3301,x3303),f24(x3302,x3303)) % 0.61/0.92 [331]~P15(x3313)+E(x3311,x3312)+~E(f28(x3311,x3313),f28(x3312,x3313)) % 0.61/0.92 [332]~P15(x3323)+E(x3321,x3322)+~E(f25(x3321,x3323),f25(x3322,x3323)) % 0.61/0.92 [361]~P18(x3612)+~E(f11(x3613,x3611,x3612),f10(x3612))+E(x3611,f10(x3612)) % 0.61/0.92 [362]~P18(x3622)+~E(f12(x3623,x3621,x3622),f19(x3622))+E(x3621,f19(x3622)) % 0.61/0.92 [363]~P18(x3632)+~E(f11(x3631,x3633,x3632),f10(x3632))+E(x3631,f10(x3632)) % 0.61/0.92 [364]~P18(x3642)+~E(f12(x3641,x3643,x3642),f19(x3642))+E(x3641,f19(x3642)) % 0.61/0.92 [382]~P2(x3823)+~P2(x3822)+P2(f9(x3821,x3822,x3823)) % 0.61/0.92 [393]~P16(x3933)+~P13(x3931,x3932,x3933)+E(f11(x3931,x3932,x3933),x3932) % 0.61/0.92 [394]~P16(x3943)+~P13(x3942,x3941,x3943)+E(f11(x3941,x3942,x3943),x3941) % 0.61/0.92 [395]~P20(x3953)+~P13(x3952,x3951,x3953)+E(f12(x3951,x3952,x3953),x3952) % 0.61/0.92 [396]~P20(x3963)+~P13(x3961,x3962,x3963)+E(f12(x3961,x3962,x3963),x3961) % 0.61/0.92 [397]~P16(x3973)+P13(x3971,x3972,x3973)+~E(f11(x3971,x3972,x3973),x3972) % 0.61/0.92 [398]~P20(x3983)+P13(x3981,x3982,x3983)+~E(f12(x3981,x3982,x3983),x3981) % 0.61/0.92 [408]P4(x4081,x4082)+~P4(x4083,x4082)+~P13(x4081,x4083,f34(x4082,a1)) % 0.61/0.92 [426]~P10(x4263)+~P7(x4262,x4261,x4263)+P14(x4261,f23(x4262,x4263),x4263) % 0.61/0.92 [427]~P10(x4273)+~P13(x4272,x4271,x4273)+P14(x4271,f24(x4272,x4273),x4273) % 0.61/0.92 [428]~P10(x4283)+~P7(x4281,x4282,x4283)+P14(x4281,f28(x4282,x4283),x4283) % 0.61/0.92 [429]~P10(x4293)+~P13(x4291,x4292,x4293)+P14(x4291,f25(x4292,x4293),x4293) % 0.61/0.92 [451]~P10(x4513)+P13(x4511,x4512,x4513)+~P14(x4512,f24(x4511,x4513),x4513) % 0.61/0.92 [452]~P10(x4523)+P13(x4521,x4522,x4523)+~P14(x4521,f25(x4522,x4523),x4523) % 0.61/0.92 [453]~P10(x4533)+P7(x4531,x4532,x4533)+~P14(x4532,f23(x4531,x4533),x4533) % 0.61/0.92 [454]~P10(x4543)+P7(x4541,x4542,x4543)+~P14(x4541,f28(x4542,x4543),x4543) % 0.61/0.92 [463]~P24(x4632)+~P13(x4633,x4631,x4632)+P13(f16(x4631,x4632),f16(x4633,x4632),x4632) % 0.61/0.92 [464]~P24(x4642)+~P7(x4643,x4641,x4642)+P7(f16(x4641,x4642),f16(x4643,x4642),x4642) % 0.61/0.92 [473]E(x4731,x4732)+~P13(x4731,x4732,f34(x4733,a1))+P7(x4731,x4732,f34(x4733,a1)) % 0.61/0.92 [483]~P24(x4833)+~P13(x4832,f16(x4831,x4833),x4833)+P13(x4831,f16(x4832,x4833),x4833) % 0.61/0.92 [485]~P24(x4853)+~P7(x4852,f16(x4851,x4853),x4853)+P7(x4851,f16(x4852,x4853),x4853) % 0.61/0.92 [487]~P24(x4872)+~P13(f16(x4873,x4872),x4871,x4872)+P13(f16(x4871,x4872),x4873,x4872) % 0.61/0.92 [489]~P24(x4892)+~P7(f16(x4893,x4892),x4891,x4892)+P7(f16(x4891,x4892),x4893,x4892) % 0.61/0.92 [499]~P15(x4992)+~P13(x4993,x4991,x4992)+P13(f23(x4991,x4992),f23(x4993,x4992),f34(x4992,a1)) % 0.61/0.92 [500]~P26(x5002)+~P13(x5003,x5001,x5002)+P13(f24(x5001,x5002),f24(x5003,x5002),f34(x5002,a1)) % 0.61/0.92 [501]~P15(x5012)+~P13(x5011,x5013,x5012)+P13(f28(x5011,x5012),f28(x5013,x5012),f34(x5012,a1)) % 0.61/0.92 [502]~P26(x5022)+~P13(x5021,x5023,x5022)+P13(f25(x5021,x5022),f25(x5023,x5022),f34(x5022,a1)) % 0.61/0.92 [505]~P24(x5053)+P13(x5051,x5052,x5053)+~P13(f16(x5052,x5053),f16(x5051,x5053),x5053) % 0.61/0.92 [506]~P24(x5063)+P7(x5061,x5062,x5063)+~P7(f16(x5062,x5063),f16(x5061,x5063),x5063) % 0.61/0.92 [528]E(x5281,x5282)+~P13(x5281,x5282,f34(x5283,a1))+~P13(x5282,x5281,f34(x5283,a1)) % 0.61/0.92 [546]~P15(x5463)+P13(x5461,x5462,x5463)+~P13(f23(x5462,x5463),f23(x5461,x5463),f34(x5463,a1)) % 0.61/0.92 [547]~P15(x5473)+P13(x5471,x5472,x5473)+~P13(f28(x5471,x5473),f28(x5472,x5473),f34(x5473,a1)) % 0.61/0.92 [548]~P26(x5483)+P13(x5481,x5482,x5483)+~P13(f24(x5482,x5483),f24(x5481,x5483),f34(x5483,a1)) % 0.61/0.92 [549]~P26(x5493)+P13(x5491,x5492,x5493)+~P13(f25(x5491,x5493),f25(x5492,x5493),f34(x5493,a1)) % 0.61/0.92 [731]~P4(x7312,x7313)+P6(x7311,x7312,x7313,x7313)+~P13(x7312,f22(x7311,x7312,x7313,x7313),f34(x7313,a1)) % 0.61/0.92 [386]P13(x3861,x3862,x3863)+~P26(x3863)+E(f26(x3861,x3862,x3863),f10(f34(x3863,a1))) % 0.61/0.92 [387]P7(x3871,x3872,x3873)+~P26(x3873)+E(f27(x3871,x3872,x3873),f10(f34(x3873,a1))) % 0.61/0.92 [388]P13(x3882,x3883,x3881)+~P26(x3881)+E(f10(f34(x3881,a1)),f26(x3882,x3883,x3881)) % 0.61/0.92 [389]P7(x3892,x3893,x3891)+~P26(x3891)+E(f10(f34(x3891,a1)),f27(x3892,x3893,x3891)) % 0.61/0.92 [430]~P26(x4303)+~P7(x4302,x4301,x4303)+E(f26(x4301,x4302,x4303),f10(f34(x4303,a1))) % 0.61/0.92 [431]~P26(x4313)+~P13(x4312,x4311,x4313)+E(f27(x4311,x4312,x4313),f10(f34(x4313,a1))) % 0.61/0.92 [478]~P4(x4782,x4783)+~P4(x4781,x4783)+P4(f11(x4781,x4782,f34(x4783,a1)),x4783) % 0.61/0.92 [491]~P26(x4913)+~P13(x4911,x4912,x4913)+~E(f26(x4911,x4912,x4913),f10(f34(x4913,a1))) % 0.61/0.92 [492]~P26(x4923)+~P7(x4921,x4922,x4923)+~E(f27(x4921,x4922,x4923),f10(f34(x4923,a1))) % 0.61/0.92 [493]~P26(x4931)+~P13(x4932,x4933,x4931)+~E(f10(f34(x4931,a1)),f26(x4932,x4933,x4931)) % 0.61/0.92 [494]~P26(x4941)+~P7(x4942,x4943,x4941)+~E(f10(f34(x4941,a1)),f27(x4942,x4943,x4941)) % 0.61/0.92 [562]P4(x5621,x5622)+~P4(x5623,x5622)+~P4(f13(x5621,x5623,f34(x5622,a1)),x5622) % 0.61/0.92 [576]~P15(x5762)+~P13(x5761,x5763,x5762)+E(f11(f28(x5761,x5762),f26(x5761,x5763,x5762),f34(x5762,a1)),f25(x5763,x5762)) % 0.61/0.92 [577]~P15(x5772)+~P13(x5771,x5773,x5772)+E(f11(f28(x5771,x5772),f27(x5771,x5773,x5772),f34(x5772,a1)),f28(x5773,x5772)) % 0.61/0.92 [578]~P15(x5783)+~P13(x5781,x5782,x5783)+E(f11(f26(x5781,x5782,x5783),f23(x5782,x5783),f34(x5783,a1)),f24(x5781,x5783)) % 0.61/0.92 [579]~P15(x5793)+~P13(x5791,x5792,x5793)+E(f11(f27(x5791,x5792,x5793),f24(x5792,x5793),f34(x5793,a1)),f24(x5791,x5793)) % 0.61/0.92 [673]~P15(x6733)+~P13(x6731,x6732,x6733)+E(f11(f27(x6731,x6732,x6733),f21(x6732,f10(f34(x6733,a1)),x6733),f34(x6733,a1)),f26(x6731,x6732,x6733)) % 0.61/0.92 [680]~P13(x6801,f21(x6803,f10(f34(x6802,a1)),x6802),f34(x6802,a1))+E(x6801,f10(f34(x6802,a1)))+E(x6801,f21(x6803,f10(f34(x6802,a1)),x6802)) % 0.61/0.92 [504]~P5(x5041,x5044,x5043)+P5(x5041,x5042,x5043)+~P5(x5044,x5042,x5043) % 0.61/0.92 [443]~P23(x4434)+E(x4431,x4432)+~E(f13(x4433,x4433,x4434),f13(x4431,x4432,x4434)) % 0.61/0.92 [444]~P23(x4443)+E(x4441,x4442)+~E(f13(x4441,x4442,x4443),f13(x4444,x4444,x4443)) % 0.61/0.92 [466]~P13(x4663,x4661,f34(x4664,a1))+P29(f20(x4661,x4662))+~P29(f20(x4663,x4662)) % 0.61/0.92 [481]~P10(x4814)+P13(x4811,x4812,f34(x4813,x4814))+~P7(x4811,x4812,f34(x4813,x4814)) % 0.61/0.92 [531]~P16(x5314)+~P13(x5311,x5313,x5314)+P13(x5311,f11(x5312,x5313,x5314),x5314) % 0.61/0.92 [532]~P16(x5324)+~P13(x5321,x5322,x5324)+P13(x5321,f11(x5322,x5323,x5324),x5324) % 0.61/0.92 [533]~P16(x5334)+~P7(x5331,x5333,x5334)+P7(x5331,f11(x5332,x5333,x5334),x5334) % 0.61/0.92 [534]~P16(x5344)+~P7(x5341,x5342,x5344)+P7(x5341,f11(x5342,x5343,x5344),x5344) % 0.61/0.92 [535]~P20(x5353)+~P13(x5352,x5354,x5353)+P13(f12(x5351,x5352,x5353),x5354,x5353) % 0.61/0.92 [536]~P20(x5363)+~P13(x5361,x5364,x5363)+P13(f12(x5361,x5362,x5363),x5364,x5363) % 0.61/0.92 [537]~P20(x5373)+~P7(x5372,x5374,x5373)+P7(f12(x5371,x5372,x5373),x5374,x5373) % 0.61/0.92 [538]~P20(x5383)+~P7(x5381,x5384,x5383)+P7(f12(x5381,x5382,x5383),x5384,x5383) % 0.61/0.92 [539]~P10(x5391)+~P13(x5392,x5393,f34(x5394,x5391))+~P7(x5393,x5392,f34(x5394,x5391)) % 0.61/0.92 [544]P14(x5441,x5442,x5443)+~P14(x5441,x5444,x5443)+~P13(x5444,x5442,f34(x5443,a1)) % 0.61/0.92 [545]P14(x5451,x5452,x5453)+~P14(x5451,x5454,x5453)+~P7(x5454,x5452,f34(x5453,a1)) % 0.61/0.92 [564]E(x5641,x5642)+P14(x5641,x5643,x5644)+~P14(x5641,f21(x5642,x5643,x5644),x5644) % 0.61/0.92 [567]~P20(x5673)+P13(x5671,x5672,x5673)+~P13(x5671,f12(x5674,x5672,x5673),x5673) % 0.61/0.92 [569]~P20(x5693)+P13(x5691,x5692,x5693)+~P13(x5691,f12(x5692,x5694,x5693),x5693) % 0.61/0.92 [571]~P16(x5713)+P13(x5711,x5712,x5713)+~P13(f11(x5714,x5711,x5713),x5712,x5713) % 0.61/0.92 [573]~P16(x5733)+P13(x5731,x5732,x5733)+~P13(f11(x5731,x5734,x5733),x5732,x5733) % 0.61/0.92 [585]~P13(x5851,x5854,f34(x5853,a1))+~P13(x5854,x5852,f34(x5853,a1))+P13(x5851,x5852,f34(x5853,a1)) % 0.61/0.92 [586]~P7(x5861,x5864,f34(x5863,a1))+~P13(x5864,x5862,f34(x5863,a1))+P7(x5861,x5862,f34(x5863,a1)) % 0.61/0.92 [587]~P7(x5874,x5872,f34(x5873,a1))+~P13(x5871,x5874,f34(x5873,a1))+P7(x5871,x5872,f34(x5873,a1)) % 0.61/0.92 [588]~P7(x5881,x5884,f34(x5883,a1))+~P7(x5884,x5882,f34(x5883,a1))+P7(x5881,x5882,f34(x5883,a1)) % 0.61/0.92 [629]~P14(x6292,x6293,x6294)+~P7(x6291,x6293,f34(x6294,a1))+P7(x6291,f21(x6292,x6293,x6294),f34(x6294,a1)) % 0.61/0.92 [630]~P14(x6301,x6304,x6303)+~P13(x6302,x6304,f34(x6303,a1))+P13(f21(x6301,x6302,x6303),x6304,f34(x6303,a1)) % 0.61/0.92 [637]P14(x6371,x6372,x6373)+~P13(x6372,f21(x6371,x6374,x6373),f34(x6373,a1))+P13(x6372,x6374,f34(x6373,a1)) % 0.61/0.92 [654]~P14(x6544,x6542,x6543)+~P7(x6541,f21(x6544,x6542,x6543),f34(x6543,a1))+P7(x6541,x6542,f34(x6543,a1)) % 0.61/0.92 [735]P4(x7351,x7352)+~P6(x7353,x7351,x7352,x7354)+~P4(f22(x7353,x7351,x7352,x7354),x7354) % 0.61/0.92 [552]P5(x5521,x5522,x5523)+~P5(x5524,x5522,x5523)+~P13(x5524,x5521,f34(f31(x5523),a1)) % 0.61/0.92 [553]P5(x5531,x5532,x5533)+~P5(x5531,x5534,x5533)+~P13(x5532,x5534,f34(f31(x5533),a1)) % 0.61/0.92 [603]~P14(x6034,x6032,x6033)+~P14(x6034,x6031,x6033)+~E(f12(x6031,x6032,f34(x6033,a1)),f10(f34(x6033,a1))) % 0.61/0.92 [616]~P14(x6161,x6164,x6163)+P14(x6161,x6162,x6163)+P14(x6161,f13(x6164,x6162,f34(x6163,a1)),x6163) % 0.61/0.92 [623]~P14(x6231,x6233,x6234)+~P14(x6231,x6232,x6234)+P14(x6231,f12(x6232,x6233,f34(x6234,a1)),x6234) % 0.61/0.92 [633]E(x6331,x6332)+P29(f20(x6333,x6331))+~P29(f20(f21(x6332,x6333,x6334),x6331)) % 0.61/0.92 [641]P14(x6411,x6412,x6413)+P14(x6411,x6414,x6413)+~P14(x6411,f11(x6412,x6414,f34(x6413,a1)),x6413) % 0.61/0.92 [646]~P15(x6463)+~P13(x6461,x6464,x6463)+E(f13(f27(x6461,x6462,x6463),f27(x6461,x6464,x6463),f34(x6463,a1)),f27(x6464,x6462,x6463)) % 0.61/0.92 [660]~P13(x6601,x6602,f34(x6604,a1))+~P13(x6601,x6603,f34(x6604,a1))+P13(x6601,f12(x6602,x6603,f34(x6604,a1)),f34(x6604,a1)) % 0.61/0.92 [662]~P13(x6621,x6624,f34(x6623,a1))+~P13(x6622,x6624,f34(x6623,a1))+P13(f11(x6621,x6622,f34(x6623,a1)),x6624,f34(x6623,a1)) % 0.61/0.92 [663]~P13(x6631,x6632,f34(x6634,a1))+~P13(x6633,x6631,f34(x6634,a1))+E(f13(x6631,f13(x6632,x6633,f34(x6634,a1)),f34(x6634,a1)),x6633) % 0.61/0.92 [709]~P5(x7091,x7093,x7094)+P5(x7091,f21(x7092,x7093,f31(x7094)),x7094)+~P5(x7091,f21(x7092,f10(f34(f31(x7094),a1)),f31(x7094)),x7094) % 0.61/0.92 [725]~P4(x7252,x7254)+P4(f29(x7251,x7252,x7253,x7254),x7253)+~P6(x7251,f19(f34(x7253,a1)),x7253,x7254) % 0.61/0.92 [726]~P14(x7262,x7261,x7263)+~P13(x7261,f21(x7262,x7264,x7263),f34(x7263,a1))+P13(f13(x7261,f21(x7262,f10(f34(x7263,a1)),x7263),f34(x7263,a1)),x7264,f34(x7263,a1)) % 0.61/0.92 [739]~P14(x7392,x7391,x7394)+P13(x7391,f21(x7392,x7393,x7394),f34(x7394,a1))+~P13(f13(x7391,f21(x7392,f10(f34(x7394,a1)),x7394),f34(x7394,a1)),x7393,f34(x7394,a1)) % 0.61/0.92 [761]~P10(x7614)+P13(x7611,x7612,f34(x7613,x7614))+~P13(f20(x7611,f6(x7611,x7612,x7613,x7614)),f20(x7612,f6(x7611,x7612,x7613,x7614)),x7614) % 0.61/0.92 [762]~P10(x7624)+P13(x7621,x7622,f34(x7623,x7624))+~P13(f20(x7621,f7(x7621,x7622,x7623,x7624)),f20(x7622,f7(x7621,x7622,x7623,x7624)),x7624) % 0.61/0.92 [640]~P29(f20(x6402,x6404))+~P29(f20(x6401,x6404))+P29(f20(f12(x6401,x6402,f34(x6403,a1)),x6404)) % 0.61/0.92 [679]P29(f20(x6791,x6792))+P29(f20(x6793,x6792))+~P29(f20(f11(x6791,x6793,f34(x6794,a1)),x6792)) % 0.61/0.92 [520]~P10(x5204)+P13(f20(x5201,x5202),f20(x5203,x5202),x5204)+~P13(x5201,x5203,f34(x5205,x5204)) % 0.61/0.92 [618]~P26(x6183)+P13(x6181,x6182,x6183)+P13(f26(x6181,x6182,x6183),f26(x6184,x6185,x6183),f34(x6183,a1)) % 0.61/0.92 [669]~P26(x6693)+P13(x6691,x6692,x6693)+~P7(f26(x6694,x6695,x6693),f26(x6691,x6692,x6693),f34(x6693,a1)) % 0.61/0.92 [707]P6(x7071,x7072,x7073,x7074)+~P6(x7071,x7075,x7073,x7074)+~P13(x7072,x7075,f34(x7073,a1)) % 0.61/0.92 [722]P4(x7221,x7222)+~P4(x7223,x7224)+~P13(x7221,f22(x7225,x7223,x7224,x7222),f34(x7222,a1)) % 0.61/0.92 [668]E(x6681,x6682)+~E(f20(x6683,x6681),f20(x6683,x6682))+~P6(x6683,f19(f34(x6684,a1)),x6684,x6685) % 0.61/0.92 [692]~P13(x6921,x6924,f34(x6923,a1))+~P13(x6922,x6925,f34(x6923,a1))+P13(f11(x6921,x6922,f34(x6923,a1)),f11(x6924,x6925,f34(x6923,a1)),f34(x6923,a1)) % 0.61/0.92 [693]~P13(x6931,x6934,f34(x6933,a1))+~P13(x6935,x6932,f34(x6933,a1))+P13(f13(x6931,x6932,f34(x6933,a1)),f13(x6934,x6935,f34(x6933,a1)),f34(x6933,a1)) % 0.61/0.92 [694]~P13(x6941,x6944,f34(x6943,a1))+~P13(x6942,x6945,f34(x6943,a1))+P13(f12(x6941,x6942,f34(x6943,a1)),f12(x6944,x6945,f34(x6943,a1)),f34(x6943,a1)) % 0.61/0.92 [737]E(x7371,x7372)+~E(f22(x7373,x7371,x7374,x7375),f22(x7373,x7372,x7374,x7375))+~P6(x7373,f19(f34(x7374,a1)),x7374,x7375) % 0.61/0.92 [743]E(x7431,x7432)+~E(f22(x7433,x7431,x7434,x7435),f22(x7433,x7432,x7434,x7435))+~P6(x7433,f11(x7431,x7432,f34(x7434,a1)),x7434,x7435) % 0.61/0.92 [745]P14(x7451,x7452,x7453)+~P14(f20(x7454,x7451),f22(x7454,x7452,x7453,x7455),x7455)+~P6(x7454,f19(f34(x7453,a1)),x7453,x7455) % 0.61/0.92 [753]~P13(x7532,f22(x7531,x7535,x7533,x7534),f34(x7534,a1))+P13(f29(x7531,x7532,x7533,x7534),x7535,f34(x7533,a1))+~P6(x7531,f19(f34(x7533,a1)),x7533,x7534) % 0.61/0.92 [756]~P13(f22(x7564,x7561,x7563,x7565),f22(x7564,x7562,x7563,x7565),f34(x7565,a1))+P13(x7561,x7562,f34(x7563,a1))+~P6(x7564,f19(f34(x7563,a1)),x7563,x7565) % 0.61/0.92 [759]~P6(x7591,x7593,x7594,x7595)+P6(x7591,f21(x7592,x7593,x7594),x7594,x7595)+P14(f20(x7591,x7592),f22(x7591,f13(x7593,f21(x7592,f10(f34(x7594,a1)),x7594),f34(x7594,a1)),x7594,x7595),x7595) % 0.61/0.92 [713]E(x7131,x7132)+E(x7131,x7133)+~E(f21(x7134,f21(x7131,f10(f34(x7135,a1)),x7135),x7135),f21(x7133,f21(x7132,f10(f34(x7135,a1)),x7135),x7135)) % 0.61/0.92 [714]E(x7141,x7142)+E(x7143,x7142)+~E(f21(x7143,f21(x7141,f10(f34(x7144,a1)),x7144),x7144),f21(x7145,f21(x7142,f10(f34(x7144,a1)),x7144),x7144)) % 0.61/0.92 [715]E(x7151,x7152)+E(x7153,x7152)+~E(f21(x7153,f21(x7151,f10(f34(x7154,a1)),x7154),x7154),f21(x7152,f21(x7155,f10(f34(x7154,a1)),x7154),x7154)) % 0.61/0.92 [716]E(x7161,x7162)+E(x7161,x7163)+~E(f21(x7161,f21(x7164,f10(f34(x7165,a1)),x7165),x7165),f21(x7163,f21(x7162,f10(f34(x7165,a1)),x7165),x7165)) % 0.61/0.92 [727]~P14(x7272,x7275,x7276)+P14(f20(x7271,x7272),x7273,x7274)+~P13(f22(x7271,x7275,x7276,x7274),x7273,f34(x7274,a1)) % 0.61/0.92 [380]P7(x3801,x3802,x3803)+~P15(x3803)+E(x3801,x3802)+P7(x3802,x3801,x3803) % 0.61/0.92 [381]P7(x3811,x3812,x3813)+~P30(x3813)+E(x3811,x3812)+P7(x3812,x3811,x3813) % 0.61/0.92 [400]~P15(x4003)+~P13(x4001,x4002,x4003)+E(x4001,x4002)+P7(x4001,x4002,x4003) % 0.61/0.92 [406]~P26(x4063)+~P13(x4061,x4062,x4063)+E(x4061,x4062)+P7(x4061,x4062,x4063) % 0.61/0.92 [448]~P13(x4482,x4481,x4483)+~P13(x4481,x4482,x4483)+E(x4481,x4482)+~P26(x4483) % 0.61/0.92 [474]P7(x4742,x4741,x4743)+~P27(x4743)+~P13(x4742,x4741,x4743)+P13(x4741,x4742,x4743) % 0.61/0.92 [476]~P9(x4762)+~E(f11(x4761,x4763,x4762),f19(x4762))+~E(f12(x4761,x4763,x4762),f10(x4762))+E(f16(x4761,x4762),x4763) % 0.61/0.92 [748]~P4(x7482,x7483)+~P6(x7481,x7482,x7483,x7483)+~P13(f22(x7481,x7482,x7483,x7483),x7482,f34(x7483,a1))+E(f22(x7481,x7482,x7483,x7483),x7482) % 0.61/0.92 [512]~P26(x5123)+~P13(x5121,x5124,x5123)+P13(x5121,x5122,x5123)+~P13(x5124,x5122,x5123) % 0.61/0.92 [513]~P27(x5133)+~P13(x5131,x5134,x5133)+P13(x5131,x5132,x5133)+~P13(x5134,x5132,x5133) % 0.61/0.92 [514]~P26(x5143)+~P7(x5141,x5144,x5143)+P7(x5141,x5142,x5143)+~P13(x5144,x5142,x5143) % 0.61/0.92 [515]~P26(x5153)+~P7(x5154,x5152,x5153)+P7(x5151,x5152,x5153)+~P13(x5151,x5154,x5153) % 0.61/0.92 [516]~P26(x5163)+~P7(x5161,x5164,x5163)+P7(x5161,x5162,x5163)+~P7(x5164,x5162,x5163) % 0.61/0.92 [517]~P27(x5173)+~P7(x5171,x5174,x5173)+P7(x5171,x5172,x5173)+~P13(x5174,x5172,x5173) % 0.61/0.92 [518]~P27(x5183)+~P7(x5184,x5182,x5183)+P7(x5181,x5182,x5183)+~P13(x5181,x5184,x5183) % 0.61/0.92 [519]~P27(x5193)+~P7(x5191,x5194,x5193)+P7(x5191,x5192,x5193)+~P7(x5194,x5192,x5193) % 0.61/0.92 [554]P14(x5543,x5541,x5544)+E(x5541,x5542)+P14(x5543,x5542,x5544)+~E(f21(x5543,x5541,x5544),f21(x5543,x5542,x5544)) % 0.61/0.92 [561]~P10(x5614)+P13(x5611,x5612,f34(x5613,x5614))+P7(x5612,x5611,f34(x5613,x5614))+~P13(x5612,x5611,f34(x5613,x5614)) % 0.61/0.92 [607]~P20(x6074)+~P13(x6071,x6073,x6074)+~P13(x6071,x6072,x6074)+P13(x6071,f12(x6072,x6073,x6074),x6074) % 0.61/0.92 [610]~P16(x6103)+~P13(x6102,x6104,x6103)+~P13(x6101,x6104,x6103)+P13(f11(x6101,x6102,x6103),x6104,x6103) % 0.61/0.92 [634]P14(x6341,x6342,x6343)+P14(x6341,x6344,x6343)+~P13(x6344,x6342,f34(x6343,a1))+P7(x6344,f21(x6341,x6342,x6343),f34(x6343,a1)) % 0.61/0.92 [666]P14(x6661,x6662,x6663)+P14(x6661,x6664,x6663)+~P7(x6664,f21(x6661,x6662,x6663),f34(x6663,a1))+P13(x6664,x6662,f34(x6663,a1)) % 0.61/0.92 [667]P14(x6671,x6672,x6673)+~P7(x6672,x6674,f34(x6673,a1))+~P13(x6672,x6674,f34(x6673,a1))+P7(x6672,f21(x6671,x6674,x6673),f34(x6673,a1)) % 0.61/0.92 [670]~P15(x6703)+~P13(x6702,x6704,x6703)+~P13(x6701,x6702,x6703)+E(f11(f27(x6701,x6702,x6703),f26(x6702,x6704,x6703),f34(x6703,a1)),f26(x6701,x6704,x6703)) % 0.61/0.92 [671]~P15(x6713)+~P13(x6712,x6714,x6713)+~P13(x6711,x6712,x6713)+E(f11(f27(x6711,x6712,x6713),f27(x6712,x6714,x6713),f34(x6713,a1)),f27(x6711,x6714,x6713)) % 0.61/0.92 [728]~P14(x7281,x7284,x7283)+P14(x7281,x7282,x7283)+~P7(x7284,f21(x7281,x7282,x7283),f34(x7283,a1))+P7(f13(x7284,f21(x7281,f10(f34(x7283,a1)),x7283),f34(x7283,a1)),x7282,f34(x7283,a1)) % 0.61/0.92 [741]~P14(x7411,x7414,x7413)+P14(x7411,x7412,x7413)+P7(x7414,f21(x7411,x7412,x7413),f34(x7413,a1))+~P7(f13(x7414,f21(x7411,f10(f34(x7413,a1)),x7413),f34(x7413,a1)),x7412,f34(x7413,a1)) % 0.61/0.92 [742]P14(x7421,x7422,x7423)+~P13(x7424,x7422,f34(x7423,a1))+P7(x7424,f21(x7421,x7422,x7423),f34(x7423,a1))+~P7(f13(x7424,f21(x7421,f10(f34(x7423,a1)),x7423),f34(x7423,a1)),x7422,f34(x7423,a1)) % 0.61/0.92 [744]~P14(x7442,x7441,x7444)+~P7(x7441,x7443,f34(x7444,a1))+P7(x7441,f21(x7442,x7443,x7444),f34(x7444,a1))+~P7(f13(x7441,f21(x7442,f10(f34(x7444,a1)),x7444),f34(x7444,a1)),x7443,f34(x7444,a1)) % 0.61/0.92 [746]~P7(x7461,x7463,f34(x7464,a1))+~P13(x7461,x7463,f34(x7464,a1))+P7(x7461,f21(x7462,x7463,x7464),f34(x7464,a1))+~P7(f13(x7461,f21(x7462,f10(f34(x7464,a1)),x7464),f34(x7464,a1)),x7463,f34(x7464,a1)) % 0.61/0.92 [580]~P24(x5803)+~P13(x5805,x5804,x5803)+P13(x5801,x5802,x5803)+~E(f13(x5804,x5805,x5803),f13(x5802,x5801,x5803)) % 0.61/0.92 [581]~P24(x5813)+~P13(x5815,x5814,x5813)+P13(x5811,x5812,x5813)+~E(f13(x5812,x5811,x5813),f13(x5814,x5815,x5813)) % 0.61/0.92 [582]~P24(x5823)+~P7(x5824,x5825,x5823)+P7(x5821,x5822,x5823)+~E(f13(x5824,x5825,x5823),f13(x5821,x5822,x5823)) % 0.61/0.92 [583]~P24(x5833)+~P7(x5834,x5835,x5833)+P7(x5831,x5832,x5833)+~E(f13(x5831,x5832,x5833),f13(x5834,x5835,x5833)) % 0.61/0.92 [651]~P26(x6513)+~P13(x6514,x6515,x6513)+P13(x6511,x6512,x6513)+P7(f26(x6511,x6512,x6513),f26(x6514,x6515,x6513),f34(x6513,a1)) % 0.61/0.92 [658]~P26(x6583)+~P13(x6584,x6581,x6583)+~P13(x6582,x6585,x6583)+P13(f26(x6581,x6582,x6583),f26(x6584,x6585,x6583),f34(x6583,a1)) % 0.61/0.92 [676]~P15(x6763)+P13(x6761,x6762,x6763)+P13(x6764,x6762,x6763)+~P13(f27(x6762,x6761,x6763),f27(x6764,x6765,x6763),f34(x6763,a1)) % 0.61/0.92 [677]~P15(x6773)+P13(x6771,x6772,x6773)+P13(x6771,x6774,x6773)+~P13(f27(x6772,x6771,x6773),f27(x6775,x6774,x6773),f34(x6773,a1)) % 0.61/0.92 [684]~P26(x6843)+P13(x6841,x6842,x6843)+~P13(x6844,x6841,x6843)+~P13(f26(x6844,x6841,x6843),f26(x6845,x6842,x6843),f34(x6843,a1)) % 0.61/0.92 [685]~P26(x6853)+P13(x6851,x6852,x6853)+~P13(x6854,x6851,x6853)+~P7(f26(x6854,x6851,x6853),f26(x6855,x6852,x6853),f34(x6853,a1)) % 0.61/0.92 [686]~P26(x6863)+P13(x6861,x6862,x6863)+~P13(x6862,x6864,x6863)+~P13(f26(x6862,x6864,x6863),f26(x6861,x6865,x6863),f34(x6863,a1)) % 0.61/0.92 [687]~P26(x6873)+P13(x6871,x6872,x6873)+~P13(x6872,x6874,x6873)+~P7(f26(x6872,x6874,x6873),f26(x6871,x6875,x6873),f34(x6873,a1)) % 0.61/0.92 [763]~P6(x7631,x7633,x7634,x7635)+~P6(x7631,x7632,x7634,x7635)+P6(x7631,f11(x7632,x7633,f34(x7634,a1)),x7634,x7635)+~E(f12(f22(x7631,f13(x7632,x7633,f34(x7634,a1)),x7634,x7635),f22(x7631,f13(x7633,x7632,f34(x7634,a1)),x7634,x7635),f34(x7635,a1)),f10(f34(x7635,a1))) % 0.61/0.92 [754]~P6(x7541,x7546,x7543,x7544)+~P13(x7542,x7546,f34(x7543,a1))+~P13(x7545,x7546,f34(x7543,a1))+E(f13(f22(x7541,x7542,x7543,x7544),f22(x7541,x7545,x7543,x7544),f34(x7544,a1)),f22(x7541,f13(x7542,x7545,f34(x7543,a1)),x7543,x7544)) % 0.61/0.92 [755]~P6(x7551,x7556,x7553,x7554)+~P13(x7552,x7556,f34(x7553,a1))+~P13(x7555,x7556,f34(x7553,a1))+E(f12(f22(x7551,x7552,x7553,x7554),f22(x7551,x7555,x7553,x7554),f34(x7554,a1)),f22(x7551,f12(x7552,x7555,f34(x7553,a1)),x7553,x7554)) % 0.61/0.92 [702]~P26(x7023)+~P13(x7022,x7024,x7023)+P7(x7021,x7022,x7023)+P7(x7024,x7025,x7023)+~P7(f26(x7022,x7024,x7023),f26(x7021,x7025,x7023),f34(x7023,a1)) % 0.61/0.92 [691]~P14(x6911,x6914,x6915)+E(x6911,x6912)+~P6(x6913,x6914,x6915,x6916)+~P14(x6912,x6914,x6915)+~E(f20(x6913,x6911),f20(x6913,x6912)) % 0.61/0.92 [696]~P26(x6963)+~P13(x6964,x6965,x6963)+~P13(x6964,x6961,x6963)+~P13(x6962,x6965,x6963)+~P7(x6964,x6961,x6963)+P7(f26(x6961,x6962,x6963),f26(x6964,x6965,x6963),f34(x6963,a1)) % 0.61/0.92 [697]~P26(x6973)+~P13(x6974,x6975,x6973)+~P13(x6974,x6971,x6973)+~P13(x6972,x6975,x6973)+~P7(x6972,x6975,x6973)+P7(f26(x6971,x6972,x6973),f26(x6974,x6975,x6973),f34(x6973,a1)) % 0.61/0.92 %EqnAxiom % 0.61/0.92 [1]E(x11,x11) % 0.61/0.92 [2]E(x22,x21)+~E(x21,x22) % 0.61/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.61/0.92 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.61/0.92 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.61/0.92 [6]~E(x61,x62)+E(f34(x61,x63),f34(x62,x63)) % 0.61/0.92 [7]~E(x71,x72)+E(f34(x73,x71),f34(x73,x72)) % 0.61/0.92 [8]~E(x81,x82)+E(f10(x81),f10(x82)) % 0.61/0.92 [9]~E(x91,x92)+E(f20(x91,x93),f20(x92,x93)) % 0.61/0.92 [10]~E(x101,x102)+E(f20(x103,x101),f20(x103,x102)) % 0.61/0.92 [11]~E(x111,x112)+E(f7(x111,x113,x114,x115),f7(x112,x113,x114,x115)) % 0.61/0.92 [12]~E(x121,x122)+E(f7(x123,x121,x124,x125),f7(x123,x122,x124,x125)) % 0.61/0.92 [13]~E(x131,x132)+E(f7(x133,x134,x131,x135),f7(x133,x134,x132,x135)) % 0.61/0.92 [14]~E(x141,x142)+E(f7(x143,x144,x145,x141),f7(x143,x144,x145,x142)) % 0.61/0.92 [15]~E(x151,x152)+E(f12(x151,x153,x154),f12(x152,x153,x154)) % 0.61/0.92 [16]~E(x161,x162)+E(f12(x163,x161,x164),f12(x163,x162,x164)) % 0.61/0.92 [17]~E(x171,x172)+E(f12(x173,x174,x171),f12(x173,x174,x172)) % 0.61/0.92 [18]~E(x181,x182)+E(f11(x181,x183,x184),f11(x182,x183,x184)) % 0.61/0.92 [19]~E(x191,x192)+E(f11(x193,x191,x194),f11(x193,x192,x194)) % 0.61/0.92 [20]~E(x201,x202)+E(f11(x203,x204,x201),f11(x203,x204,x202)) % 0.61/0.92 [21]~E(x211,x212)+E(f6(x211,x213,x214,x215),f6(x212,x213,x214,x215)) % 0.61/0.92 [22]~E(x221,x222)+E(f6(x223,x221,x224,x225),f6(x223,x222,x224,x225)) % 0.61/0.92 [23]~E(x231,x232)+E(f6(x233,x234,x231,x235),f6(x233,x234,x232,x235)) % 0.61/0.92 [24]~E(x241,x242)+E(f6(x243,x244,x245,x241),f6(x243,x244,x245,x242)) % 0.61/0.92 [25]~E(x251,x252)+E(f13(x251,x253,x254),f13(x252,x253,x254)) % 0.61/0.92 [26]~E(x261,x262)+E(f13(x263,x261,x264),f13(x263,x262,x264)) % 0.61/0.92 [27]~E(x271,x272)+E(f13(x273,x274,x271),f13(x273,x274,x272)) % 0.61/0.92 [28]~E(x281,x282)+E(f31(x281),f31(x282)) % 0.61/0.92 [29]~E(x291,x292)+E(f16(x291,x293),f16(x292,x293)) % 0.61/0.92 [30]~E(x301,x302)+E(f16(x303,x301),f16(x303,x302)) % 0.61/0.92 [31]~E(x311,x312)+E(f15(x311,x313),f15(x312,x313)) % 0.61/0.92 [32]~E(x321,x322)+E(f15(x323,x321),f15(x323,x322)) % 0.61/0.92 [33]~E(x331,x332)+E(f14(x331,x333),f14(x332,x333)) % 0.61/0.92 [34]~E(x341,x342)+E(f14(x343,x341),f14(x343,x342)) % 0.61/0.92 [35]~E(x351,x352)+E(f22(x351,x353,x354,x355),f22(x352,x353,x354,x355)) % 0.61/0.92 [36]~E(x361,x362)+E(f22(x363,x361,x364,x365),f22(x363,x362,x364,x365)) % 0.61/0.92 [37]~E(x371,x372)+E(f22(x373,x374,x371,x375),f22(x373,x374,x372,x375)) % 0.61/0.92 [38]~E(x381,x382)+E(f22(x383,x384,x385,x381),f22(x383,x384,x385,x382)) % 0.61/0.92 [39]~E(x391,x392)+E(f25(x391,x393),f25(x392,x393)) % 0.61/0.92 [40]~E(x401,x402)+E(f25(x403,x401),f25(x403,x402)) % 0.61/0.92 [41]~E(x411,x412)+E(f9(x411,x413,x414),f9(x412,x413,x414)) % 0.61/0.92 [42]~E(x421,x422)+E(f9(x423,x421,x424),f9(x423,x422,x424)) % 0.61/0.92 [43]~E(x431,x432)+E(f9(x433,x434,x431),f9(x433,x434,x432)) % 0.61/0.92 [44]~E(x441,x442)+E(f19(x441),f19(x442)) % 0.61/0.92 [45]~E(x451,x452)+E(f21(x451,x453,x454),f21(x452,x453,x454)) % 0.61/0.92 [46]~E(x461,x462)+E(f21(x463,x461,x464),f21(x463,x462,x464)) % 0.61/0.92 [47]~E(x471,x472)+E(f21(x473,x474,x471),f21(x473,x474,x472)) % 0.61/0.92 [48]~E(x481,x482)+E(f26(x481,x483,x484),f26(x482,x483,x484)) % 0.61/0.92 [49]~E(x491,x492)+E(f26(x493,x491,x494),f26(x493,x492,x494)) % 0.61/0.92 [50]~E(x501,x502)+E(f26(x503,x504,x501),f26(x503,x504,x502)) % 0.61/0.92 [51]~E(x511,x512)+E(f28(x511,x513),f28(x512,x513)) % 0.61/0.92 [52]~E(x521,x522)+E(f28(x523,x521),f28(x523,x522)) % 0.61/0.92 [53]~E(x531,x532)+E(f23(x531,x533),f23(x532,x533)) % 0.61/0.92 [54]~E(x541,x542)+E(f23(x543,x541),f23(x543,x542)) % 0.61/0.92 [55]~E(x551,x552)+E(f29(x551,x553,x554,x555),f29(x552,x553,x554,x555)) % 0.61/0.92 [56]~E(x561,x562)+E(f29(x563,x561,x564,x565),f29(x563,x562,x564,x565)) % 0.61/0.92 [57]~E(x571,x572)+E(f29(x573,x574,x571,x575),f29(x573,x574,x572,x575)) % 0.61/0.92 [58]~E(x581,x582)+E(f29(x583,x584,x585,x581),f29(x583,x584,x585,x582)) % 0.61/0.92 [59]~E(x591,x592)+E(f27(x591,x593,x594),f27(x592,x593,x594)) % 0.61/0.92 [60]~E(x601,x602)+E(f27(x603,x601,x604),f27(x603,x602,x604)) % 0.61/0.92 [61]~E(x611,x612)+E(f27(x613,x614,x611),f27(x613,x614,x612)) % 0.61/0.92 [62]~E(x621,x622)+E(f24(x621,x623),f24(x622,x623)) % 0.61/0.92 [63]~E(x631,x632)+E(f24(x633,x631),f24(x633,x632)) % 0.61/0.92 [64]~E(x641,x642)+E(f38(x641),f38(x642)) % 0.61/0.92 [65]~E(x651,x652)+E(f8(x651,x653,x654),f8(x652,x653,x654)) % 0.61/0.92 [66]~E(x661,x662)+E(f8(x663,x661,x664),f8(x663,x662,x664)) % 0.61/0.92 [67]~E(x671,x672)+E(f8(x673,x674,x671),f8(x673,x674,x672)) % 0.61/0.92 [68]~E(x681,x682)+E(f4(x681),f4(x682)) % 0.61/0.92 [69]~E(x691,x692)+E(f5(x691,x693,x694),f5(x692,x693,x694)) % 0.61/0.92 [70]~E(x701,x702)+E(f5(x703,x701,x704),f5(x703,x702,x704)) % 0.61/0.92 [71]~E(x711,x712)+E(f5(x713,x714,x711),f5(x713,x714,x712)) % 0.61/0.92 [72]~E(x721,x722)+E(f17(x721,x723),f17(x722,x723)) % 0.61/0.92 [73]~E(x731,x732)+E(f17(x733,x731),f17(x733,x732)) % 0.61/0.92 [74]~E(x741,x742)+E(f32(x741),f32(x742)) % 0.61/0.92 [75]~P1(x751)+P1(x752)+~E(x751,x752) % 0.61/0.92 [76]~P3(x761)+P3(x762)+~E(x761,x762) % 0.61/0.92 [77]~P9(x771)+P9(x772)+~E(x771,x772) % 0.61/0.92 [78]~P15(x781)+P15(x782)+~E(x781,x782) % 0.61/0.92 [79]~P26(x791)+P26(x792)+~E(x791,x792) % 0.61/0.92 [80]P14(x802,x803,x804)+~E(x801,x802)+~P14(x801,x803,x804) % 0.61/0.92 [81]P14(x813,x812,x814)+~E(x811,x812)+~P14(x813,x811,x814) % 0.61/0.92 [82]P14(x823,x824,x822)+~E(x821,x822)+~P14(x823,x824,x821) % 0.61/0.92 [83]~P27(x831)+P27(x832)+~E(x831,x832) % 0.61/0.92 [84]P13(x842,x843,x844)+~E(x841,x842)+~P13(x841,x843,x844) % 0.61/0.92 [85]P13(x853,x852,x854)+~E(x851,x852)+~P13(x853,x851,x854) % 0.61/0.92 [86]P13(x863,x864,x862)+~E(x861,x862)+~P13(x863,x864,x861) % 0.61/0.92 [87]~P16(x871)+P16(x872)+~E(x871,x872) % 0.61/0.92 [88]P6(x882,x883,x884,x885)+~E(x881,x882)+~P6(x881,x883,x884,x885) % 0.61/0.92 [89]P6(x893,x892,x894,x895)+~E(x891,x892)+~P6(x893,x891,x894,x895) % 0.61/0.92 [90]P6(x903,x904,x902,x905)+~E(x901,x902)+~P6(x903,x904,x901,x905) % 0.61/0.92 [91]P6(x913,x914,x915,x912)+~E(x911,x912)+~P6(x913,x914,x915,x911) % 0.61/0.92 [92]~P17(x921)+P17(x922)+~E(x921,x922) % 0.61/0.92 [93]~P24(x931)+P24(x932)+~E(x931,x932) % 0.61/0.92 [94]~P10(x941)+P10(x942)+~E(x941,x942) % 0.61/0.92 [95]P7(x952,x953,x954)+~E(x951,x952)+~P7(x951,x953,x954) % 0.61/0.92 [96]P7(x963,x962,x964)+~E(x961,x962)+~P7(x963,x961,x964) % 0.61/0.92 [97]P7(x973,x974,x972)+~E(x971,x972)+~P7(x973,x974,x971) % 0.61/0.92 [98]~P18(x981)+P18(x982)+~E(x981,x982) % 0.61/0.92 [99]~P19(x991)+P19(x992)+~E(x991,x992) % 0.61/0.92 [100]~P20(x1001)+P20(x1002)+~E(x1001,x1002) % 0.61/0.92 [101]P4(x1012,x1013)+~E(x1011,x1012)+~P4(x1011,x1013) % 0.61/0.92 [102]P4(x1023,x1022)+~E(x1021,x1022)+~P4(x1023,x1021) % 0.61/0.92 [103]P5(x1032,x1033,x1034)+~E(x1031,x1032)+~P5(x1031,x1033,x1034) % 0.61/0.92 [104]P5(x1043,x1042,x1044)+~E(x1041,x1042)+~P5(x1043,x1041,x1044) % 0.61/0.92 [105]P5(x1053,x1054,x1052)+~E(x1051,x1052)+~P5(x1053,x1054,x1051) % 0.61/0.92 [106]~P11(x1061)+P11(x1062)+~E(x1061,x1062) % 0.61/0.92 [107]~P28(x1071)+P28(x1072)+~E(x1071,x1072) % 0.61/0.92 [108]~P21(x1081)+P21(x1082)+~E(x1081,x1082) % 0.61/0.92 [109]~P22(x1091)+P22(x1092)+~E(x1091,x1092) % 0.61/0.92 [110]~P2(x1101)+P2(x1102)+~E(x1101,x1102) % 0.61/0.92 [111]~P25(x1111)+P25(x1112)+~E(x1111,x1112) % 0.61/0.92 [112]~P29(x1121)+P29(x1122)+~E(x1121,x1122) % 0.61/0.92 [113]P12(x1132,x1133,x1134)+~E(x1131,x1132)+~P12(x1131,x1133,x1134) % 0.61/0.92 [114]P12(x1143,x1142,x1144)+~E(x1141,x1142)+~P12(x1143,x1141,x1144) % 0.61/0.92 [115]P12(x1153,x1154,x1152)+~E(x1151,x1152)+~P12(x1153,x1154,x1151) % 0.61/0.92 [116]~P23(x1161)+P23(x1162)+~E(x1161,x1162) % 0.61/0.92 [117]~P30(x1171)+P30(x1172)+~E(x1171,x1172) % 0.61/0.92 [118]P8(x1182,x1183,x1184)+~E(x1181,x1182)+~P8(x1181,x1183,x1184) % 0.61/0.92 [119]P8(x1193,x1192,x1194)+~E(x1191,x1192)+~P8(x1193,x1191,x1194) % 0.61/0.92 [120]P8(x1203,x1204,x1202)+~E(x1201,x1202)+~P8(x1203,x1204,x1201) % 0.61/0.92 % 0.61/0.92 %------------------------------------------- % 0.61/0.92 cnf(800,plain, % 0.61/0.92 ($false), % 0.61/0.92 inference(scs_inference,[],[263,153,460]), % 0.61/0.92 ['proof']). % 0.61/0.92 % SZS output end Proof % 0.61/0.92 % Total time :0.040000s %------------------------------------------------------------------------------