%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV836-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n032.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 16:48:38 EDT 2024 % Result : Unsatisfiable 0.46s 0.90s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.12 % Problem : SWV836-1 : TPTP v8.2.0. Released v4.1.0. % 0.05/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.10/0.32 % Computer : n032.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Thu Jun 20 19:41:53 EDT 2024 % 0.10/0.32 % CPUTime : % 0.43/0.55 start to proof:theBenchmark % 0.46/0.86 %------------------------------------------- % 0.46/0.86 % File :CSE---1.7 % 0.46/0.86 % Problem :theBenchmark % 0.46/0.86 % Transform :cnf % 0.46/0.86 % Format :tptp:raw % 0.46/0.86 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.86 % 0.46/0.86 % Result :Theorem 0.080000s % 0.46/0.86 % Output :CNFRefutation 0.080000s % 0.46/0.86 %------------------------------------------- % 0.46/0.86 %------------------------------------------------------------------------------ % 0.46/0.86 % File : SWV836-1 : TPTP v8.2.0. Released v4.1.0. % 0.46/0.86 % Domain : Software Verification % 0.46/0.86 % Problem : Hoare logic with procedures 214_1 % 0.46/0.86 % Version : Especial. % 0.46/0.86 % English : Completeness is taken relative to completeness of the underlying % 0.46/0.86 % logic. Two versions of completeness proof: nested single recursion % 0.46/0.86 % and simultaneous recursion in call rule. % 0.46/0.86 % 0.46/0.86 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.46/0.86 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.46/0.87 % Source : [Nip10] % 0.46/0.87 % Names : Hoare-214_1 [Nip10] % 0.46/0.87 % 0.46/0.87 % Status : Unsatisfiable % 0.46/0.87 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.40 v5.4.0, 0.45 v5.3.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0 % 0.46/0.87 % Syntax : Number of clauses : 598 ( 129 unt; 69 nHn; 324 RR) % 0.46/0.87 % Number of literals : 1417 ( 320 equ; 776 neg) % 0.46/0.87 % Maximal clause size : 6 ( 2 avg) % 0.46/0.87 % Maximal term depth : 7 ( 2 avg) % 0.46/0.87 % Number of predicates : 30 ( 29 usr; 0 prp; 1-9 aty) % 0.46/0.87 % Number of functors : 41 ( 41 usr; 8 con; 0-4 aty) % 0.46/0.87 % Number of variables : 1971 ( 251 sgn) % 0.46/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.46/0.87 % 0.46/0.87 % Comments : % 0.46/0.87 %------------------------------------------------------------------------------ % 0.46/0.87 cnf(cls_Un__Int__distrib_0,axiom, % 0.46/0.87 c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Un__Int__distrib2_0,axiom, % 0.46/0.87 c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),V_A,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__left__idem_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__left__absorb_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__idem_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__absorb_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__fun__eq_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_b) % 0.46/0.87 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__Diff_0,axiom, % 0.46/0.87 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_IntI_0,axiom, % 0.46/0.87 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__iff_2,axiom, % 0.46/0.87 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf1I_0,axiom, % 0.46/0.87 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 0.46/0.87 | ~ hBOOL(hAPP(V_B,V_x)) % 0.46/0.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_fold1__belowI_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a) % 0.46/0.87 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_setsum__diff_0,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.46/0.87 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b) % 0.46/0.87 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.46/0.87 ( ~ hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_fold__graph_OinsertI_0,axiom, % 0.46/0.87 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.46/0.87 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b) % 0.46/0.87 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__insert__left_1,axiom, % 0.46/0.87 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 0.46/0.87 | hBOOL(c_in(V_a,V_C,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__insert__right_1,axiom, % 0.46/0.87 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 0.46/0.87 | hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__insert__left_0,axiom, % 0.46/0.87 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) % 0.46/0.87 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__insert__right_0,axiom, % 0.46/0.87 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 0.46/0.87 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_distrib__inf__le_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_distrib__sup__le_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__Collect_0,axiom, % 0.46/0.87 ( hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.87 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__Collect_1,axiom, % 0.46/0.87 ( hBOOL(hAPP(V_P,V_x)) % 0.46/0.87 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__Collect_2,axiom, % 0.46/0.87 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) % 0.46/0.87 | ~ hBOOL(hAPP(V_P,V_x)) % 0.46/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_finite__UN_0,axiom, % 0.46/0.87 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b) % 0.46/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_diff__eq_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_HOL_Ouminus__class_Ouminus(V_y,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_setsum__diff1_1,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.46/0.87 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b) % 0.46/0.87 | hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__compl__bot_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_HOL_Ouminus__class_Ouminus(V_x,T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_compl__inf__bot_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_below__fold1__iff_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | c_lessequals(V_x,V_xa,T_a) % 0.46/0.87 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 0.46/0.87 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a) % 0.46/0.87 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_neg__sup__eq__inf_0,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.87 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_compl__sup_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.87 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),c_HOL_Ouminus__class_Ouminus(V_y,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_neg__inf__eq__sup_0,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.87 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),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) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_compl__inf_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.87 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),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) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__eq__neg__sup_0,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) = 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) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_sup__eq__neg__inf_0,axiom, % 0.46/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Un__Int__assoc__eq_0,axiom, % 0.46/0.87 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))) % 0.46/0.87 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Un__Int__assoc__eq_1,axiom, % 0.46/0.87 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))) % 0.46/0.87 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__disjoint_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__triv_0,axiom, % 0.46/0.87 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.87 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_finite__Diff__insert_0,axiom, % 0.46/0.87 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.87 | ~ 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) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_finite__Diff__insert_1,axiom, % 0.46/0.87 ( 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) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Un__Diff__Int_0,axiom, % 0.46/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) = V_A ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Un_0,axiom, % 0.46/0.87 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Int_0,axiom, % 0.46/0.87 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_ivl__disj__int_I11_J_0,axiom, % 0.46/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Compl__disjoint_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Compl__disjoint2_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Inf__insert_0,axiom, % 0.46/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.87 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Compl__Un_0,axiom, % 0.46/0.87 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)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Compl__Int_0,axiom, % 0.46/0.87 c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),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)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Compl_0,axiom, % 0.46/0.87 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)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__eq_0,axiom, % 0.46/0.87 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_ivl__disj__int_I14_J_0,axiom, % 0.46/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_sup__inf__distrib1_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.46/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_sup__inf__distrib2_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.46/0.87 | c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),V_x,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_less__infI1_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.46/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_less__infI2_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.46/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__sup__absorb_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)) = V_x ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_sup__inf__absorb_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),T_a) = V_x ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Int2_0,axiom, % 0.46/0.87 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Int__distrib2_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Diff__Int__distrib_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_finite__Un_1,axiom, % 0.46/0.87 ( c_Finite__Set_Ofinite(V_G,T_a) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_finite__Un_0,axiom, % 0.46/0.87 ( c_Finite__Set_Ofinite(V_F,T_a) % 0.46/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__left__commute_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_Int__assoc_0,axiom, % 0.46/0.87 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__assoc_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__left__commute_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.87 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 0.46/0.87 % 0.46/0.87 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.46/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__UnI_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Un_2,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Diff2_1,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Diff2_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Diff_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_fold__graph__imp__finite_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__Un__distrib2_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))),V_A) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__Un__distrib_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__distrib1_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__distrib2_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_IntE_1,axiom, % 0.46/0.88 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.88 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_IntE_0,axiom, % 0.46/0.88 ( hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.88 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__commute_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__commute_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Un__Int__crazy_0,axiom, % 0.46/0.88 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool))) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite_0,axiom, % 0.46/0.88 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 0.46/0.88 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf1E_1,axiom, % 0.46/0.88 ( hBOOL(hAPP(V_B,V_x)) % 0.46/0.88 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf1E_0,axiom, % 0.46/0.88 ( hBOOL(hAPP(V_A,V_x)) % 0.46/0.88 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Int_1,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__Int_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__le1_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__le2_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__infI_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_b,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__inf__iff_2,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_z,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__greatest_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_z,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__iff__inf_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 0.46/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__iff__inf_1,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 0.46/0.88 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__absorb2_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 0.46/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__infE_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,V_a,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__infE_1,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,V_b,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__infI1_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.46/0.88 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__infI2_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 0.46/0.88 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__inf__iff_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,V_y,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_le__inf__iff_1,axiom, % 0.46/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.46/0.88 | c_lessequals(V_x,V_z,T_a) % 0.46/0.88 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__bot__left_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_inf__bot__right_0,axiom, % 0.46/0.88 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite_OemptyI_0,axiom, % 0.46/0.88 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_empty__fold__graphE_0,axiom, % 0.46/0.88 ( V_x = V_z % 0.46/0.88 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__empty__right_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__empty__left_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_fold__graph_OemptyI_0,axiom, % 0.46/0.88 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom, % 0.46/0.88 c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__insert_1,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__insert_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_insert__inter__insert_0,axiom, % 0.46/0.88 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__mono_0,axiom, % 0.46/0.88 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_rev__finite__subset_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_finite__subset_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofinite(V_A,T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__subset__iff_2,axiom, % 0.46/0.88 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__greatest_0,axiom, % 0.46/0.88 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__lower2_0,axiom, % 0.46/0.88 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__lower1_0,axiom, % 0.46/0.88 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__absorb2_0,axiom, % 0.46/0.88 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__absorb1_0,axiom, % 0.46/0.88 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 0.46/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__subset__iff_1,axiom, % 0.46/0.88 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Int__subset__iff_0,axiom, % 0.46/0.88 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_setsum__diff1__ring_0,axiom, % 0.46/0.88 ( ~ class_Ring__and__Field_Oring(T_b) % 0.46/0.88 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 0.46/0.88 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_setsum__diff1_0,axiom, % 0.46/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 0.46/0.88 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 0.46/0.88 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I15_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_disjoint__eq__subset__Compl_1,axiom, % 0.46/0.88 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_disjoint__eq__subset__Compl_0,axiom, % 0.46/0.88 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Inf__binary_0,axiom, % 0.46/0.88 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.88 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I4_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Max__ge_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Min__le_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I16_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Min__in_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)) % 0.46/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Max__in_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)) % 0.46/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I13_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I12_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_fold1Set_Ointros_0,axiom, % 0.46/0.88 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x)) % 0.46/0.88 | hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I7_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I2_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I9_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I8_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)),c_SetInterval_Oord__class_OatLeast(V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I3_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_l,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I1_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_l,T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I10_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I5_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__int_I6_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a)),c_SetInterval_Oord__class_OatLeast(V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__un_I7_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_atMost__Int__atLeast_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.88 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_n,T_a)),c_SetInterval_Oord__class_OatLeast(V_n,T_a)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__un_I16_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a) % 0.46/0.88 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_ivl__disj__un_I15_J_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a) % 0.46/0.88 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Max__mono_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.46/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Min__antimono_0,axiom, % 0.46/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a) % 0.46/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 0.46/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_9,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ 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)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom, % 0.46/0.88 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.46/0.88 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_1,axiom, % 0.46/0.88 ( 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)) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_4,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ 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)) % 0.46/0.88 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_8,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ 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)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_setsum__diff1__nat_1,axiom, % 0.46/0.88 ( c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat) % 0.46/0.88 | hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_Diff1__fold__graph_0,axiom, % 0.46/0.88 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 0.46/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_2,axiom, % 0.46/0.88 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_3,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__insert__iff_7,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__eq_0,axiom, % 0.46/0.88 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__subset__trans_0,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_subset__psubset__trans_0,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.88 % 0.46/0.88 cnf(cls_psubset__eq_2,axiom, % 0.46/0.88 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.88 | V_A = V_B % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subset__iff__psubset__eq_0,axiom, % 0.46/0.89 ( V_A = V_B % 0.46/0.89 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__fun__def_1,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_b) % 0.46/0.89 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__fun__def_2,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_b) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) % 0.46/0.89 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 0.46/0.89 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__fun__def_0,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_b) % 0.46/0.89 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_not__psubset__empty_0,axiom, % 0.46/0.89 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__le__not__le_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__not__le_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__not__le_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__not__less_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_lessequals(V_y,V_x,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__not__less_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.46/0.89 | c_lessequals(V_x,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_x,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_not__leE_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__le__not__le_2,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | c_lessequals(V_y,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__le__less_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_lessequals(V_x,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__imp__le_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | c_lessequals(V_x,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I7_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_z,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I8_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__le__less__trans_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__le__trans_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_z,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I11_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.46/0.89 | V_a = V_b % 0.46/0.89 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I12_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.46/0.89 | ~ c_lessequals(V_b,V_a,T_a) % 0.46/0.89 | V_a = V_b ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__le__less_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__le_2,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__le__neq__trans_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.89 | V_a = V_b % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__neq__le__trans_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.89 | V_a = V_b ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__less__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__less__iff_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__minus__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__minus__iff_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__supI2_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__supI1_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_2,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I10_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubsetD_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubset__trans_0,axiom, % 0.46/0.89 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__trans_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_neg__less__iff__less_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | 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) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_neg__less__iff__less_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.89 | ~ 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubset__eq_1,axiom, % 0.46/0.89 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__le_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__neq__iff_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__irrefl_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_6,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | 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)) % 0.46/0.89 | ~ c_lessequals(V_c,V_d,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 0.46/0.89 | ~ c_lessequals(V_b,V_d,T_a) % 0.46/0.89 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_5,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | 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)) % 0.46/0.89 | ~ c_lessequals(V_c,V_d,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 0.46/0.89 | ~ c_lessequals(V_b,V_d,T_a) % 0.46/0.89 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.46/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | V_x = V_y ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__neqE_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | V_x = V_y ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__less__linear_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | V_x = V_y % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__eqI_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_less__eqI_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_xt1_I9_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__asym_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_order__less__asym_H_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubset__insert__iff_0,axiom, % 0.46/0.89 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubset__insert__iff_6,axiom, % 0.46/0.89 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_lessequals(V_b,V_d,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_lessequals(V_c,V_a,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_3,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_lessequals(V_c,V_d,T_a) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__psubset__iff_4,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | 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)) % 0.46/0.89 | ~ c_lessequals(V_c,V_d,T_a) % 0.46/0.89 | c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__empty_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastLessThan__empty__iff2_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastLessThan__empty__iff2_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastLessThan__empty__iff_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastLessThan__empty__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_lessThan__iff_0,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_i,V_k,T_a) % 0.46/0.89 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_lessThan__iff_1,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThanAtMost__empty__iff_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThanAtMost__empty__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThan__iff_1,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a)) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_k,V_i,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThan__iff_0,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | c_HOL_Oord__class_Oless(V_k,V_i,T_a) % 0.46/0.89 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I12_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_l,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_psubset__insert__iff_5,axiom, % 0.46/0.89 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ 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)) % 0.46/0.89 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I18_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I3_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I19_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I4_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(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_OgreaterThanAtMost(V_l,V_u,T_a) % 0.46/0.89 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_equation__minus__iff_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.46/0.89 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_equation__minus__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.46/0.89 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__equation__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.46/0.89 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__diff__eq_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__eqI_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.46/0.89 | c_lessequals(V_y,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__eqI_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.46/0.89 | c_lessequals(V_y_H,V_x_H,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__supE_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_a,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__supE_1,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_b,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__supI1_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__supI2_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__sup__iff_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_x,V_z,T_a) % 0.46/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__sup__iff_1,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_y,V_z,T_a) % 0.46/0.89 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__iff__sup_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.46/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__iff__sup_1,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.46/0.89 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__absorb1_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__imp__neg__le_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_neg__le__iff__le_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(V_a,V_b,T_a) % 0.46/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__supI_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_b,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__ge1_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__ge2_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__least_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_z,V_x,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__sup__iff_2,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.46/0.89 | ~ c_lessequals(V_y,V_z,T_a) % 0.46/0.89 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__minus__iff_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.46/0.89 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__minus__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.46/0.89 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__le__iff_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.46/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__le__iff_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.46/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.46/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I6_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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) % 0.46/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I5_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__bot__left_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__bot__right_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.46/0.89 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.46/0.89 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__empty_2,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 0.46/0.89 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 0.46/0.89 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_empty__Collect__eq_0,axiom, % 0.46/0.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 0.46/0.89 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ex__in__conv_0,axiom, % 0.46/0.89 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ball__empty_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(V_P,V_x)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_empty__iff_0,axiom, % 0.46/0.89 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_emptyE_0,axiom, % 0.46/0.89 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Collect__empty__eq_0,axiom, % 0.46/0.89 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_empty__fold1SetE_0,axiom, % 0.46/0.89 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_empty__Diff_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__empty__right_0,axiom, % 0.46/0.89 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 ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__empty__left_0,axiom, % 0.46/0.89 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 ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__cancel_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__empty_0,axiom, % 0.46/0.89 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 ). % 0.46/0.89 % 0.46/0.89 cnf(cls_bex__empty_0,axiom, % 0.46/0.89 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__empty_1,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__empty_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__Diff_0,axiom, % 0.46/0.89 ( 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) = V_A % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Sup__binary_0,axiom, % 0.46/0.89 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.89 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_single__Diff__lessThan_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__insert__absorb_0,axiom, % 0.46/0.89 ( 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 % 0.46/0.89 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__iff_2,axiom, % 0.46/0.89 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insertCI_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 0.46/0.89 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 0.46/0.89 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insertE_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_a,V_A,T_a)) % 0.46/0.89 | V_a = V_b % 0.46/0.89 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__insert__right_0,axiom, % 0.46/0.89 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) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__insert__left_0,axiom, % 0.46/0.89 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) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__iff_1,axiom, % 0.46/0.89 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insertI1_0,axiom, % 0.46/0.89 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insertCI_1,axiom, % 0.46/0.89 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__ident_0,axiom, % 0.46/0.89 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.46/0.89 | hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.89 | hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | V_A = V_B ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__absorb_0,axiom, % 0.46/0.89 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_double__diff_0,axiom, % 0.46/0.89 ( 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 % 0.46/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subset__iff_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_t,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_t,V_A,T_a)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_set__rev__mp_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subsetD_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_set__mp_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__subset__iff_1,axiom, % 0.46/0.89 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__subset__iff_0,axiom, % 0.46/0.89 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__mono_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subset__Un__eq_1,axiom, % 0.46/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 0.46/0.89 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__absorb2_0,axiom, % 0.46/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.46/0.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__absorb1_0,axiom, % 0.46/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__mono_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__subset__Compl__iff_1,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__subset__Compl__iff_0,axiom, % 0.46/0.89 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__anti__mono_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__subset__iff_2,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__upper2_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__upper1_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__least_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__subset_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_diff__single__insert_0,axiom, % 0.46/0.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subset__insert__iff_3,axiom, % 0.46/0.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_subset__insert__iff_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__empty__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__empty__iff_1,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeastatMost__empty__iff2_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.89 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.46/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_double__compl_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.89 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_minus__minus_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.46/0.89 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_double__complement_0,axiom, % 0.46/0.89 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 ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__subset__conv_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__subset__conv_1,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ 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)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__Diff__if_1,axiom, % 0.46/0.89 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.46/0.89 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_SUP1__I_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.46/0.89 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_SUP1__iff_2,axiom, % 0.46/0.89 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.46/0.89 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__left__idem_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__left__absorb_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__commute_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__commute_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I9_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__Diff_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_fun__diff__def_0,axiom, % 0.46/0.89 ( ~ class_HOL_Ominus(T_b) % 0.46/0.89 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__Diff__cancel_0,axiom, % 0.46/0.89 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)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__Diff__cancel2_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UN__I_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)) % 0.46/0.89 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UN__iff_2,axiom, % 0.46/0.89 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I11_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_l,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_DiffI_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.89 | hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__iff_2,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.89 | hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_CollectD_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(V_P,V_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_CollectI_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) % 0.46/0.89 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__lessThan_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_lessThan__eq__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a) % 0.46/0.89 | V_x = V_y ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__partition_0,axiom, % 0.46/0.89 ( 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 % 0.46/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__left__commute_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__assoc_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__assoc_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__left__commute_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_eq__eqI_0,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.46/0.89 | V_x_H = V_y_H ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_eq__eqI_1,axiom, % 0.46/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.46/0.89 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.46/0.89 | V_xa = V_y ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Diff__idemp_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_mem__def_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(V_S,V_x)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_mem__def_1,axiom, % 0.46/0.89 ( hBOOL(c_in(V_x,V_S,T_a)) % 0.46/0.89 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 0.46/0.89 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I13_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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) % 0.46/0.89 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I22_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__idem_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Un__absorb_0,axiom, % 0.46/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup__fun__eq_0,axiom, % 0.46/0.89 ( ~ class_Lattices_Olattice(T_b) % 0.46/0.89 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_fold1__def_0,axiom, % 0.46/0.89 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_le__SUPI_0,axiom, % 0.46/0.89 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 0.46/0.89 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 0.46/0.89 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UN__upper_0,axiom, % 0.46/0.89 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_insert__Diff1_0,axiom, % 0.46/0.89 ( 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)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__atLeast_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ComplD_0,axiom, % 0.46/0.89 ( ~ hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ComplI_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.89 | hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I20_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Collect__def_0,axiom, % 0.46/0.89 c_Collect(V_P,T_a) = V_P ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Sup__insert_0,axiom, % 0.46/0.89 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.89 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_Compl__Diff__eq_0,axiom, % 0.46/0.89 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)) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_greaterThan__eq__iff_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a) % 0.46/0.89 | V_x = V_y ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 0.46/0.89 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_DiffE_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_DiffE_1,axiom, % 0.46/0.89 ( ~ hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UN__subset__iff_0,axiom, % 0.46/0.89 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_x,V_I,T_b)) % 0.46/0.89 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeast__iff_0,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | c_lessequals(V_k,V_i,T_a) % 0.46/0.89 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_atLeast__iff_1,axiom, % 0.46/0.89 ( ~ class_HOL_Oord(T_a) % 0.46/0.89 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)) % 0.46/0.89 | ~ c_lessequals(V_k,V_i,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UN__absorb_0,axiom, % 0.46/0.89 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 0.46/0.89 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup1E_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(V_B,V_x)) % 0.46/0.89 | hBOOL(hAPP(V_A,V_x)) % 0.46/0.89 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup1CI_0,axiom, % 0.46/0.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.46/0.89 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_sup1CI_1,axiom, % 0.46/0.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.46/0.89 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UnE_0,axiom, % 0.46/0.89 ( hBOOL(c_in(V_c,V_B,T_a)) % 0.46/0.89 | hBOOL(c_in(V_c,V_A,T_a)) % 0.46/0.89 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_ivl__disj__un_I17_J_0,axiom, % 0.46/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.89 | 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) % 0.46/0.89 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.89 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.89 % 0.46/0.89 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 0.46/0.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 0.46/0.90 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 0.46/0.90 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 0.46/0.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Compl__atMost_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I21_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) % 0.46/0.90 | ~ c_lessequals(V_m,V_u,T_a) % 0.46/0.90 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atMost__iff_0,axiom, % 0.46/0.90 ( ~ class_HOL_Oord(T_a) % 0.46/0.90 | c_lessequals(V_i,V_k,T_a) % 0.46/0.90 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atMost__iff_1,axiom, % 0.46/0.90 ( ~ class_HOL_Oord(T_a) % 0.46/0.90 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)) % 0.46/0.90 | ~ c_lessequals(V_i,V_k,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I1_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.46/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.46/0.90 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.46/0.90 | V_x = V_y ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.46/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.46/0.90 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.46/0.90 | V_a = V_b ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Compl__eq__Compl__iff_0,axiom, % 0.46/0.90 ( 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)) % 0.46/0.90 | V_A = V_B ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I2_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I8_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) % 0.46/0.90 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_bot__empty__eq_0,axiom, % 0.46/0.90 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeast__eq__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a) % 0.46/0.90 | V_x = V_y ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UN__insert_0,axiom, % 0.46/0.90 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Inf__lower_0,axiom, % 0.46/0.90 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.90 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a) % 0.46/0.90 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_fun__Compl__def_0,axiom, % 0.46/0.90 ( ~ class_HOL_Ouminus(T_b) % 0.46/0.90 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I10_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) % 0.46/0.90 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UnCI_0,axiom, % 0.46/0.90 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.90 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UnCI_1,axiom, % 0.46/0.90 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 0.46/0.90 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__diff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) % 0.46/0.90 | ~ c_lessequals(V_i,V_n,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atMost__eq__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a) % 0.46/0.90 | V_x = V_y ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Compl__greaterThan_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UN__Un_0,axiom, % 0.46/0.90 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_the__sym__eq__trivial_0,axiom, % 0.46/0.90 c_The(c_fequal(V_x,T_a),T_a) = V_x ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ivl__disj__un_I14_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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) % 0.46/0.90 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Sup__upper_0,axiom, % 0.46/0.90 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.90 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) % 0.46/0.90 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastatMost__empty__iff2_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 0.46/0.90 | c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastLessThan__empty_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_greaterThanLessThan__empty_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_SetInterval_Oord__class_OgreaterThanLessThan(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_l,V_k,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_greaterThanAtMost__empty_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_l,V_k,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_le__funI_0,axiom, % 0.46/0.90 ( ~ class_HOL_Oord(T_b) % 0.46/0.90 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.46/0.90 | ~ 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_le__fun__def_1,axiom, % 0.46/0.90 ( ~ class_HOL_Oord(T_b) % 0.46/0.90 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 0.46/0.90 | ~ 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeast__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeast__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_y,V_x,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastatMost__subset__iff_2,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | c_lessequals(V_a,V_b,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastatMost__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_c,V_a,T_a) % 0.46/0.90 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastatMost__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_b,V_d,T_a) % 0.46/0.90 | ~ c_lessequals(V_a,V_b,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastatMost__subset__iff_3,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | ~ c_lessequals(V_b,V_d,T_a) % 0.46/0.90 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atMost__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atMost__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_x,V_y,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_greaterThan__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_greaterThan__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_lessequals(V_y,V_x,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_lessThan__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | 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)) % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_lessThan__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_lessequals(V_x,V_y,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastLessThan__subset__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_lessequals(V_c,V_a,T_a) % 0.46/0.90 | c_lessequals(V_b,V_a,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastLessThan__subset__iff_1,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_lessequals(V_b,V_d,T_a) % 0.46/0.90 | c_lessequals(V_b,V_a,T_a) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_bot__fun__eq_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Obot(T_b) % 0.46/0.90 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Sup__empty_0,axiom, % 0.46/0.90 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.90 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_singleton__conv2_0,axiom, % 0.46/0.90 c_Collect(c_fequal(V_a,T_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_singleton__iff_1,axiom, % 0.46/0.90 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 0.46/0.90 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 0.46/0.90 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 0.46/0.90 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 0.46/0.90 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Sup__singleton_0,axiom, % 0.46/0.90 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.90 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Nitpick_OEx1__def_2,axiom, % 0.46/0.90 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 0.46/0.90 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_fold1Set__sing_1,axiom, % 0.46/0.90 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Min__singleton_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Nitpick_OThe__psimp_0,axiom, % 0.46/0.90 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ). % 0.46/0.90 % 0.46/0.90 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 0.46/0.90 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b) % 0.46/0.90 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 0.46/0.90 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b) % 0.46/0.90 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Diff__insert2_0,axiom, % 0.46/0.90 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)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Diff__insert_0,axiom, % 0.46/0.90 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)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_fold1Set__sing_0,axiom, % 0.46/0.90 ( V_a = V_b % 0.46/0.90 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_contents__eq_0,axiom, % 0.46/0.90 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Nitpick_OEx1__def_3,axiom, % 0.46/0.90 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.46/0.90 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_singletonE_0,axiom, % 0.46/0.90 ( V_b = V_a % 0.46/0.90 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_fold1__singleton_0,axiom, % 0.46/0.90 c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Max__singleton_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__Diff__single_0,axiom, % 0.46/0.90 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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_atLeastAtMost__singleton_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.46/0.90 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | hBOOL(c_in(V_x,V_xa,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__is__Un_0,axiom, % 0.46/0.90 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)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_Inf__singleton_0,axiom, % 0.46/0.90 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 0.46/0.90 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__Compl__self__eq_0,axiom, % 0.46/0.90 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__Compl__self__eq_1,axiom, % 0.46/0.90 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)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__subset_2,axiom, % 0.46/0.90 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__subset_0,axiom, % 0.46/0.90 ( hBOOL(c_in(V_x,V_B,T_a)) % 0.46/0.90 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insert__iff_2,axiom, % 0.46/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insert__iff_1,axiom, % 0.46/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | hBOOL(c_in(V_x,V_A,T_a)) % 0.46/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insert_1,axiom, % 0.46/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insert_0,axiom, % 0.46/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.90 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insert__iff_4,axiom, % 0.46/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_linorder__linear_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.90 | c_lessequals(V_y,V_x,T_a) % 0.46/0.90 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__mono_0,axiom, % 0.46/0.90 ( 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)) % 0.46/0.90 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_hoare__derivs_Oinsert_0,axiom, % 0.46/0.90 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) % 0.46/0.90 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.46/0.90 | ~ 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) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__singletonD_0,axiom, % 0.46/0.90 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.46/0.90 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ 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)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_weaken_0,axiom, % 0.46/0.90 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.46/0.90 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) % 0.46/0.90 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_rev__predicate1D_0,axiom, % 0.46/0.90 ( hBOOL(hAPP(V_Q,V_x)) % 0.46/0.90 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__eq__refl_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.90 | c_lessequals(V_x,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__eq__iff_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_x,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_predicate1D_0,axiom, % 0.46/0.90 ( hBOOL(hAPP(V_Q,V_x)) % 0.46/0.90 | ~ hBOOL(hAPP(V_P,V_x)) % 0.46/0.90 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__trans_0,axiom, % 0.46/0.90 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__refl_0,axiom, % 0.46/0.90 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_equalityE_0,axiom, % 0.46/0.90 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__trans_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.90 | c_lessequals(V_x,V_z,T_a) % 0.46/0.90 | ~ c_lessequals(V_y,V_z,T_a) % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_xt1_I6_J_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | c_lessequals(V_z,V_x,T_a) % 0.46/0.90 | ~ c_lessequals(V_z,V_y,T_a) % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__code_1,axiom, % 0.46/0.90 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_cut_0,axiom, % 0.46/0.90 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.46/0.90 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a) % 0.46/0.90 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_empty__not__insert_0,axiom, % 0.46/0.90 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__empty_1,axiom, % 0.46/0.90 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)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__empty_0,axiom, % 0.46/0.90 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_doubleton__eq__iff_3,axiom, % 0.46/0.90 ( 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) % 0.46/0.90 | V_b = V_c % 0.46/0.90 | V_b = V_d ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_doubleton__eq__iff_2,axiom, % 0.46/0.90 ( 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) % 0.46/0.90 | V_a = V_d % 0.46/0.90 | V_b = V_d ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_doubleton__eq__iff_1,axiom, % 0.46/0.90 ( 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) % 0.46/0.90 | V_b = V_c % 0.46/0.90 | V_a = V_c ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_doubleton__eq__iff_0,axiom, % 0.46/0.90 ( 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) % 0.46/0.90 | V_a = V_d % 0.46/0.90 | V_a = V_c ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__antisym__conv_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | V_x = V_y % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__antisym_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | V_x = V_y % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_order__eq__iff_2,axiom, % 0.46/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.90 | V_x = V_y % 0.46/0.90 | ~ c_lessequals(V_y,V_x,T_a) % 0.46/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_set__eq__subset_2,axiom, % 0.46/0.90 ( V_A = V_B % 0.46/0.90 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_equalityI_0,axiom, % 0.46/0.90 ( V_A = V_B % 0.46/0.90 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_bot1E_0,axiom, % 0.46/0.90 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_empty_0,axiom, % 0.46/0.90 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insertI_0,axiom, % 0.46/0.90 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__code_0,axiom, % 0.46/0.90 ( hBOOL(hAPP(V_A,V_x)) % 0.46/0.90 | V_y = V_x % 0.46/0.90 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__absorb2_0,axiom, % 0.46/0.90 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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__not__empty_0,axiom, % 0.46/0.90 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_bot__least_0,axiom, % 0.46/0.90 ( ~ class_Orderings_Obot(T_a) % 0.46/0.90 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_empty__subsetI_0,axiom, % 0.46/0.90 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_subset__insertI2_0,axiom, % 0.46/0.90 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__subset_1,axiom, % 0.46/0.90 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.46/0.90 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__commute_0,axiom, % 0.46/0.90 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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_doubleton__eq__iff_4,axiom, % 0.46/0.90 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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_singleton__inject_0,axiom, % 0.46/0.90 ( 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) % 0.46/0.90 | V_a = V_b ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_insert__code_2,axiom, % 0.46/0.90 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.46/0.90 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_asm_0,axiom, % 0.46/0.90 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 0.46/0.90 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_le__funD_0,axiom, % 0.46/0.90 ( ~ class_HOL_Oord(T_b) % 0.46/0.90 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.46/0.90 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_0,negated_conjecture, % 0.46/0.90 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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_1,negated_conjecture, % 0.46/0.90 c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_tsa,t_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_2,negated_conjecture, % 0.46/0.90 c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_3,negated_conjecture, % 0.46/0.90 c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,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) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_4,negated_conjecture, % 0.46/0.90 c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_conjecture_5,negated_conjecture, % 0.46/0.90 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 0.46/0.90 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.46/0.90 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Olattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.46/0.90 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Olattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 0.46/0.90 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.46/0.90 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 0.46/0.90 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 0.46/0.90 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 0.46/0.90 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.46/0.90 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.46/0.90 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Lattices_Olattice(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.46/0.90 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Orderings_Oorder(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.46/0.90 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_Orderings_Obot(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__HOL_Ouminus,axiom, % 0.46/0.90 ( class_HOL_Ouminus(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_HOL_Ouminus(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__HOL_Ominus,axiom, % 0.46/0.90 ( class_HOL_Ominus(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_HOL_Ominus(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_fun__HOL_Oord,axiom, % 0.46/0.90 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.46/0.90 | ~ class_HOL_Oord(T_1) ) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 0.46/0.90 class_Lattices_Oupper__semilattice(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 0.46/0.90 class_Lattices_Olower__semilattice(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 0.46/0.90 class_Lattices_Odistrib__lattice(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.46/0.90 class_Orderings_Opreorder(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.46/0.90 class_Orderings_Olinorder(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.46/0.90 class_Lattices_Olattice(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.46/0.90 class_Orderings_Oorder(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.46/0.90 class_Orderings_Obot(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__HOL_Ominus,axiom, % 0.46/0.90 class_HOL_Ominus(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_nat__HOL_Oord,axiom, % 0.46/0.90 class_HOL_Oord(tc_nat) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 0.46/0.90 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.46/0.90 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.46/0.90 class_Lattices_Olower__semilattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 0.46/0.90 class_Lattices_Odistrib__lattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.46/0.90 class_Lattices_Obounded__lattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 0.46/0.90 class_Lattices_Oboolean__algebra(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 0.46/0.90 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.46/0.90 class_Orderings_Opreorder(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.46/0.90 class_Lattices_Olattice(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.46/0.90 class_Orderings_Oorder(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.46/0.90 class_Orderings_Obot(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__HOL_Ouminus,axiom, % 0.46/0.90 class_HOL_Ouminus(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__HOL_Ominus,axiom, % 0.46/0.90 class_HOL_Ominus(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(clsarity_bool__HOL_Oord,axiom, % 0.46/0.90 class_HOL_Oord(tc_bool) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.46/0.90 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ). % 0.46/0.90 % 0.46/0.90 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.46/0.90 ( V_X = V_Y % 0.46/0.90 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ). % 0.46/0.90 % 0.46/0.90 %------------------------------------------------------------------------------ % 0.46/0.90 %------------------------------------------- % 0.46/0.90 % Proof found % 0.46/0.90 % SZS status Theorem for theBenchmark % 0.46/0.90 % SZS output start Proof % 0.46/0.90 %ClaNum:726(EqnAxiom:131) % 0.46/0.90 %VarNum:4496(SingletonVarNum:1731) % 0.46/0.90 %MaxLitNum:6 % 0.46/0.90 %MaxfuncDepth:6 % 0.46/0.90 %SharedTerms:41 % 0.46/0.90 %goalClause: 156 157 162 189 190 253 % 0.46/0.90 %singleGoalClaCount:6 % 0.46/0.90 [132]P1(a1) % 0.46/0.90 [133]P1(a32) % 0.46/0.90 [134]P17(a1) % 0.46/0.90 [135]P17(a32) % 0.46/0.90 [136]P2(a1) % 0.46/0.90 [137]P18(a1) % 0.46/0.90 [138]P18(a32) % 0.46/0.90 [139]P3(a1) % 0.46/0.90 [140]P15(a1) % 0.46/0.90 [141]P15(a32) % 0.46/0.90 [142]P11(a1) % 0.46/0.90 [143]P16(a1) % 0.46/0.90 [144]P19(a32) % 0.46/0.90 [145]P12(a1) % 0.46/0.90 [146]P12(a32) % 0.46/0.90 [147]P26(a1) % 0.46/0.90 [148]P26(a32) % 0.46/0.90 [149]P20(a1) % 0.46/0.90 [150]P20(a32) % 0.46/0.90 [151]P13(a1) % 0.46/0.90 [152]P13(a32) % 0.46/0.90 [153]P14(a1) % 0.46/0.90 [154]P21(a1) % 0.46/0.90 [155]P21(a32) % 0.46/0.90 [156]P4(a34,a35,a2) % 0.46/0.90 [157]P4(a36,a35,a2) % 0.46/0.90 [162]P9(a34,a36,f33(f31(a2),a1)) % 0.46/0.90 [189]P4(a34,f20(a37,f3(f33(f31(a2),a1)),f31(a2)),a2) % 0.46/0.90 [190]P4(a36,f20(a37,f3(f33(f31(a2),a1)),f31(a2)),a2) % 0.46/0.90 [253]~P4(a36,f20(a37,a35,f31(a2)),a2) % 0.46/0.90 [172]E(f19(a38,f3(f33(a2,a1)),a2),f18(f3(f33(a2,a1)),a38)) % 0.46/0.90 [158]P5(f3(f33(x1581,a1)),x1581) % 0.46/0.90 [160]P9(x1601,x1601,f33(x1602,a1)) % 0.46/0.90 [248]~P8(x2481,x2481,f33(x2482,a1)) % 0.46/0.90 [161]E(f4(x1611,x1611,f33(x1612,a1)),x1611) % 0.46/0.90 [163]E(f5(x1631,x1631,f33(x1632,a1)),f3(f33(x1632,a1))) % 0.46/0.90 [164]E(f15(f15(x1641,f33(x1642,a1)),f33(x1642,a1)),x1641) % 0.46/0.90 [165]P9(f3(f33(x1651,a1)),x1652,f33(x1651,a1)) % 0.46/0.90 [166]E(f4(x1661,f3(f33(x1662,a1)),f33(x1662,a1)),x1661) % 0.46/0.90 [167]E(f5(x1671,f3(f33(x1672,a1)),f33(x1672,a1)),x1671) % 0.46/0.90 [168]E(f4(f3(f33(x1681,a1)),x1682,f33(x1681,a1)),x1682) % 0.46/0.90 [173]E(f5(f3(f33(x1731,a1)),x1732,f33(x1731,a1)),f3(f33(x1731,a1))) % 0.46/0.90 [251]~P8(x2511,f3(f33(x2512,a1)),f33(x2512,a1)) % 0.46/0.90 [169]P4(x1691,f3(f33(f31(x1692),a1)),x1692) % 0.46/0.90 [178]E(f18(f18(f16(f33(x1781,a1)),x1782),f3(f33(x1781,a1))),f3(f33(x1781,a1))) % 0.46/0.90 [185]E(f18(f18(f16(f33(x1851,a1)),x1852),f15(x1852,f33(x1851,a1))),f3(f33(x1851,a1))) % 0.46/0.90 [252]~P27(f18(f3(f33(x2521,a1)),x2522)) % 0.46/0.90 [256]~P27(f19(x2561,f3(f33(x2562,a1)),x2562)) % 0.46/0.90 [170]E(f18(f18(f16(f33(x1701,a1)),x1702),x1702),x1702) % 0.46/0.90 [180]E(f30(f20(x1801,f3(f33(x1802,a1)),x1802),x1802),x1801) % 0.46/0.90 [181]E(f21(f20(x1811,f3(f33(x1812,a1)),x1812),x1812),x1811) % 0.46/0.90 [187]E(f18(f18(f16(f33(x1871,a1)),f3(f33(x1871,a1))),x1872),f3(f33(x1871,a1))) % 0.46/0.90 [198]E(f18(f18(f16(f33(x1981,a1)),f15(x1982,f33(x1981,a1))),x1982),f3(f33(x1981,a1))) % 0.46/0.90 [243]P27(f18(f20(x2431,f3(f33(x2432,a1)),x2432),f17(f20(x2431,f3(f33(x2432,a1)),x2432),x2432))) % 0.46/0.90 [175]P9(x1751,f20(x1752,x1751,x1753),f33(x1753,a1)) % 0.46/0.90 [171]E(f4(x1711,x1712,f33(x1713,a1)),f4(x1712,x1711,f33(x1713,a1))) % 0.46/0.90 [177]E(f20(x1771,f20(x1771,x1772,x1773),x1773),f20(x1771,x1772,x1773)) % 0.46/0.90 [182]P9(x1821,f4(x1822,x1821,f33(x1823,a1)),f33(x1823,a1)) % 0.46/0.90 [183]P9(x1831,f4(x1831,x1832,f33(x1833,a1)),f33(x1833,a1)) % 0.46/0.90 [184]P9(f5(x1841,x1842,f33(x1843,a1)),x1841,f33(x1843,a1)) % 0.46/0.90 [186]P27(f18(f20(x1861,x1862,x1863),x1861)) % 0.46/0.90 [194]E(f4(x1941,f4(x1941,x1942,f33(x1943,a1)),f33(x1943,a1)),f4(x1941,x1942,f33(x1943,a1))) % 0.46/0.90 [195]E(f4(x1951,f5(x1952,x1951,f33(x1953,a1)),f33(x1953,a1)),f4(x1951,x1952,f33(x1953,a1))) % 0.46/0.90 [196]E(f4(f5(x1961,x1962,f33(x1963,a1)),x1962,f33(x1963,a1)),f4(x1961,x1962,f33(x1963,a1))) % 0.46/0.90 [197]E(f5(f5(x1971,x1972,f33(x1973,a1)),x1972,f33(x1973,a1)),f5(x1971,x1972,f33(x1973,a1))) % 0.46/0.90 [203]P27(f19(x2031,f20(x2031,x2032,x2033),x2033)) % 0.46/0.90 [204]E(f4(f15(x2041,f33(x2042,a1)),x2043,f33(x2042,a1)),f15(f5(x2041,x2043,f33(x2042,a1)),f33(x2042,a1))) % 0.46/0.90 [205]E(f4(f20(x2051,f3(f33(x2052,a1)),x2052),x2053,f33(x2052,a1)),f20(x2051,x2053,x2052)) % 0.46/0.90 [213]E(f4(f5(x2131,x2132,f33(x2133,a1)),f18(f18(f16(f33(x2133,a1)),x2131),x2132),f33(x2133,a1)),x2131) % 0.46/0.90 [217]E(f4(f15(x2171,f33(x2172,a1)),f15(x2173,f33(x2172,a1)),f33(x2172,a1)),f15(f18(f18(f16(f33(x2172,a1)),x2171),x2173),f33(x2172,a1))) % 0.46/0.90 [249]~E(f20(x2491,x2492,x2493),f3(f33(x2493,a1))) % 0.46/0.90 [250]~E(f3(f33(x2501,a1)),f20(x2502,x2503,x2501)) % 0.46/0.90 [191]E(f18(f18(f16(f33(x1911,a1)),x1912),f15(x1913,f33(x1911,a1))),f5(x1912,x1913,f33(x1911,a1))) % 0.46/0.90 [200]E(f18(f18(f16(f33(x2001,a1)),x2002),f5(x2003,x2002,f33(x2001,a1))),f3(f33(x2001,a1))) % 0.46/0.90 [218]E(f18(f18(f16(f33(x2181,a1)),f15(x2182,f33(x2181,a1))),f15(x2183,f33(x2181,a1))),f15(f4(x2182,x2183,f33(x2181,a1)),f33(x2181,a1))) % 0.46/0.90 [223]E(f20(x2231,f5(x2232,f20(x2231,f3(f33(x2233,a1)),x2233),f33(x2233,a1)),x2233),f20(x2231,x2232,x2233)) % 0.46/0.90 [188]E(f18(f18(f16(f33(x1881,a1)),x1882),x1883),f18(f18(f16(f33(x1881,a1)),x1883),x1882)) % 0.46/0.90 [192]E(f5(x1921,f15(x1922,f33(x1923,a1)),f33(x1923,a1)),f18(f18(f16(f33(x1923,a1)),x1921),x1922)) % 0.46/0.90 [206]P9(f18(f18(f16(f33(x2061,a1)),x2062),x2063),x2063,f33(x2061,a1)) % 0.46/0.90 [207]P9(f18(f18(f16(f33(x2071,a1)),x2072),x2073),x2072,f33(x2071,a1)) % 0.46/0.90 [257]~P27(f18(f6(x2571,f3(f33(x2572,a1)),x2572),x2573)) % 0.46/0.90 [216]E(f30(f6(x2161,f20(x2162,f3(f33(x2163,a1)),x2163),x2163),x2163),x2162) % 0.46/0.90 [219]E(f18(f18(f16(f33(x2191,a1)),x2192),f18(f18(f16(f33(x2191,a1)),x2192),x2193)),f18(f18(f16(f33(x2191,a1)),x2192),x2193)) % 0.46/0.90 [239]P27(f18(f6(x2391,f20(x2392,f3(f33(x2393,a1)),x2393),x2393),x2392)) % 0.46/0.90 [199]E(f20(x1991,f20(x1992,x1993,x1994),x1994),f20(x1992,f20(x1991,x1993,x1994),x1994)) % 0.46/0.90 [211]E(f4(x2111,f4(x2112,x2113,f33(x2114,a1)),f33(x2114,a1)),f4(x2112,f4(x2111,x2113,f33(x2114,a1)),f33(x2114,a1))) % 0.46/0.90 [212]E(f4(f4(x2121,x2122,f33(x2123,a1)),x2124,f33(x2123,a1)),f4(x2121,f4(x2122,x2124,f33(x2123,a1)),f33(x2123,a1))) % 0.46/0.90 [220]E(f4(f5(x2201,x2202,f33(x2203,a1)),f5(x2204,x2202,f33(x2203,a1)),f33(x2203,a1)),f5(f4(x2201,x2204,f33(x2203,a1)),x2202,f33(x2203,a1))) % 0.46/0.90 [221]E(f5(f5(x2211,x2212,f33(x2213,a1)),f20(x2214,f3(f33(x2213,a1)),x2213),f33(x2213,a1)),f5(x2211,f20(x2214,x2212,x2213),f33(x2213,a1))) % 0.46/0.90 [224]E(f4(x2241,f7(f3(f33(x2242,a1)),x2243,x2242,f33(x2244,a1)),f33(x2244,a1)),x2241) % 0.46/0.90 [225]E(f5(x2251,f7(f3(f33(x2252,a1)),x2253,x2252,f33(x2254,a1)),f33(x2254,a1)),x2251) % 0.46/0.90 [226]E(f4(f7(f3(f33(x2261,a1)),x2262,x2261,f33(x2263,a1)),x2264,f33(x2263,a1)),x2264) % 0.46/0.90 [227]E(f4(f5(x2271,x2272,f33(x2273,a1)),f5(x2271,x2274,f33(x2273,a1)),f33(x2273,a1)),f5(x2271,f18(f18(f16(f33(x2273,a1)),x2272),x2274),f33(x2273,a1))) % 0.46/0.90 [231]E(f5(f5(x2311,f20(x2312,f3(f33(x2313,a1)),x2313),f33(x2313,a1)),x2314,f33(x2313,a1)),f5(x2311,f20(x2312,x2314,x2313),f33(x2313,a1))) % 0.46/0.90 [237]E(f5(f18(f18(f16(f33(x2371,a1)),x2372),x2373),f18(f18(f16(f33(x2371,a1)),x2374),x2373),f33(x2371,a1)),f5(f18(f18(f16(f33(x2371,a1)),x2372),x2373),x2374,f33(x2371,a1))) % 0.46/0.90 [246]P7(x2461,x2462,f3(f33(x2463,a1)),x2462,x2463,x2464) % 0.46/0.90 [247]P10(x2471,x2472,f3(f33(x2473,a1)),x2472,x2473,x2474) % 0.46/0.90 [208]E(f20(x2081,f4(x2082,x2083,f33(x2084,a1)),x2084),f4(x2082,f20(x2081,x2083,x2084),f33(x2084,a1))) % 0.46/0.90 [209]E(f20(x2091,f4(x2092,x2093,f33(x2094,a1)),x2094),f4(f20(x2091,x2092,x2094),x2093,f33(x2094,a1))) % 0.46/0.90 [222]E(f5(f18(f18(f16(f33(x2221,a1)),x2222),x2223),x2224,f33(x2221,a1)),f18(f18(f16(f33(x2221,a1)),x2222),f5(x2223,x2224,f33(x2221,a1)))) % 0.46/0.90 [228]E(f20(x2281,f7(f3(f33(x2282,a1)),x2283,x2282,f33(x2284,a1)),x2284),f20(x2281,f3(f33(x2284,a1)),x2284)) % 0.46/0.90 [230]E(f18(f18(f16(f33(x2301,a1)),f5(x2302,x2303,f33(x2301,a1))),f5(x2302,x2304,f33(x2301,a1))),f5(x2302,f4(x2303,x2304,f33(x2301,a1)),f33(x2301,a1))) % 0.46/0.90 [233]E(f4(f18(f18(f16(f33(x2331,a1)),x2332),x2333),f18(f18(f16(f33(x2331,a1)),x2332),x2334),f33(x2331,a1)),f18(f18(f16(f33(x2331,a1)),x2332),f4(x2333,x2334,f33(x2331,a1)))) % 0.46/0.90 [234]E(f5(f18(f18(f16(f33(x2341,a1)),x2342),x2343),f18(f18(f16(f33(x2341,a1)),x2342),x2344),f33(x2341,a1)),f18(f18(f16(f33(x2341,a1)),x2342),f5(x2343,x2344,f33(x2341,a1)))) % 0.46/0.90 [235]E(f18(f18(f16(f33(x2351,a1)),f4(x2352,x2353,f33(x2351,a1))),f4(x2352,x2354,f33(x2351,a1))),f4(x2352,f18(f18(f16(f33(x2351,a1)),x2353),x2354),f33(x2351,a1))) % 0.46/0.90 [236]E(f18(f18(f16(f33(x2361,a1)),f4(x2362,x2363,f33(x2361,a1))),f4(x2364,x2363,f33(x2361,a1))),f4(f18(f18(f16(f33(x2361,a1)),x2362),x2364),x2363,f33(x2361,a1))) % 0.46/0.90 [245]E(f4(f4(f18(f18(f16(f33(x2451,a1)),x2452),x2453),f18(f18(f16(f33(x2451,a1)),x2453),x2454),f33(x2451,a1)),f18(f18(f16(f33(x2451,a1)),x2454),x2452),f33(x2451,a1)),f18(f18(f16(f33(x2451,a1)),f18(f18(f16(f33(x2451,a1)),f4(x2452,x2453,f33(x2451,a1))),f4(x2453,x2454,f33(x2451,a1)))),f4(x2454,x2452,f33(x2451,a1)))) % 0.46/0.90 [240]E(f4(f18(f18(f16(f33(x2401,a1)),x2402),x2403),f18(f18(f16(f33(x2401,a1)),x2404),x2403),f33(x2401,a1)),f18(f18(f16(f33(x2401,a1)),f4(x2402,x2404,f33(x2401,a1))),x2403)) % 0.46/0.90 [241]E(f5(f18(f18(f16(f33(x2411,a1)),x2412),x2413),f18(f18(f16(f33(x2411,a1)),x2414),x2413),f33(x2411,a1)),f18(f18(f16(f33(x2411,a1)),f5(x2412,x2414,f33(x2411,a1))),x2413)) % 0.46/0.90 [229]E(f18(f18(f16(f33(x2291,a1)),f20(x2292,x2293,x2291)),f20(x2292,x2294,x2291)),f20(x2292,f18(f18(f16(f33(x2291,a1)),x2293),x2294),x2291)) % 0.46/0.90 [232]E(f18(f18(f16(f33(x2321,a1)),x2322),f18(f18(f16(f33(x2321,a1)),x2323),x2324)),f18(f18(f16(f33(x2321,a1)),x2323),f18(f18(f16(f33(x2321,a1)),x2322),x2324))) % 0.46/0.90 [242]E(f18(f18(f16(f33(x2421,a1)),f18(f18(f16(f33(x2421,a1)),x2422),x2423)),x2424),f18(f18(f16(f33(x2421,a1)),x2422),f18(f18(f16(f33(x2421,a1)),x2423),x2424))) % 0.46/0.90 [238]E(f7(f20(x2381,x2382,x2383),x2384,x2383,f33(x2385,a1)),f4(f18(x2384,x2381),f7(x2382,x2384,x2383,f33(x2385,a1)),f33(x2385,a1))) % 0.46/0.90 [244]E(f4(f7(x2441,x2442,x2443,f33(x2444,a1)),f7(x2445,x2442,x2443,f33(x2444,a1)),f33(x2444,a1)),f7(f4(x2441,x2445,f33(x2443,a1)),x2442,x2443,f33(x2444,a1))) % 0.46/0.90 [292]~P21(x2921)+E(f18(f3(f33(a2,x2921)),a38),f3(x2921)) % 0.46/0.90 [294]~P3(x2941)+E(f8(f3(f33(x2941,a1)),x2941),f3(x2941)) % 0.46/0.90 [258]~P11(x2582)+P5(x2581,x2582) % 0.46/0.90 [285]~P18(x2852)+P9(x2851,x2851,x2852) % 0.46/0.90 [286]~P26(x2862)+P9(x2861,x2861,x2862) % 0.46/0.90 [302]~P8(x3022,x3022,x3021)+~P18(x3021) % 0.46/0.90 [303]~P8(x3032,x3032,x3031)+~P19(x3031) % 0.46/0.90 [304]~P8(x3042,x3042,x3041)+~P26(x3041) % 0.46/0.90 [259]~P1(x2592)+P1(f33(x2591,x2592)) % 0.46/0.90 [260]~P1(x2602)+P17(f33(x2601,x2602)) % 0.46/0.90 [261]~P2(x2612)+P2(f33(x2611,x2612)) % 0.46/0.90 [262]~P18(x2622)+P18(f33(x2621,x2622)) % 0.46/0.90 [263]~P3(x2632)+P3(f33(x2631,x2632)) % 0.46/0.90 [264]~P15(x2642)+P15(f33(x2641,x2642)) % 0.46/0.90 [265]~P16(x2652)+P16(f33(x2651,x2652)) % 0.46/0.90 [266]~P12(x2662)+P12(f33(x2661,x2662)) % 0.46/0.90 [267]~P26(x2672)+P26(f33(x2671,x2672)) % 0.46/0.90 [268]~P1(x2682)+P20(f33(x2681,x2682)) % 0.46/0.90 [269]~P13(x2692)+P13(f33(x2691,x2692)) % 0.46/0.90 [270]~P14(x2702)+P14(f33(x2701,x2702)) % 0.46/0.90 [271]~P21(x2712)+P21(f33(x2711,x2712)) % 0.46/0.90 [287]~P20(x2872)+E(f4(x2871,x2871,x2872),x2871) % 0.46/0.90 [288]~P21(x2881)+P9(f3(x2881),x2882,x2881) % 0.46/0.90 [275]~P2(x2752)+E(f15(f15(x2751,x2752),x2752),x2751) % 0.46/0.90 [277]~P22(x2772)+E(f15(f15(x2771,x2772),x2772),x2771) % 0.46/0.90 [289]~P16(x2892)+E(f4(x2891,f3(x2892),x2892),x2891) % 0.46/0.90 [290]~P16(x2901)+E(f4(f3(x2901),x2902,x2901),x2902) % 0.46/0.90 [291]~P16(x2911)+E(f18(f18(f16(x2911),x2912),f3(x2911)),f3(x2911)) % 0.46/0.90 [295]~P19(x2952)+E(f15(f22(x2951,x2952),f33(x2952,a1)),f24(x2951,x2952)) % 0.46/0.90 [296]~P19(x2962)+E(f15(f23(x2961,x2962),f33(x2962,a1)),f25(x2961,x2962)) % 0.46/0.90 [297]~P19(x2972)+E(f15(f24(x2971,x2972),f33(x2972,a1)),f22(x2971,x2972)) % 0.46/0.90 [298]~P19(x2982)+E(f15(f25(x2981,x2982),f33(x2982,a1)),f23(x2981,x2982)) % 0.46/0.90 [299]~P2(x2991)+E(f18(f18(f16(x2991),x2992),f15(x2992,x2991)),f3(x2991)) % 0.46/0.90 [435]~P9(x4351,f3(f33(x4352,a1)),f33(x4352,a1))+E(x4351,f3(f33(x4352,a1))) % 0.46/0.90 [469]~P9(x4691,f15(x4691,f33(x4692,a1)),f33(x4692,a1))+E(x4691,f3(f33(x4692,a1))) % 0.46/0.90 [527]~P19(x5272)+E(f4(f22(x5271,x5272),f20(x5271,f3(f33(x5272,a1)),x5272),f33(x5272,a1)),f25(x5271,x5272)) % 0.46/0.90 [528]~P19(x5282)+E(f4(f20(x5281,f3(f33(x5282,a1)),x5282),f23(x5281,x5282),f33(x5282,a1)),f24(x5281,x5282)) % 0.46/0.90 [284]~P17(x2841)+E(f18(f18(f16(x2841),x2842),x2842),x2842) % 0.46/0.90 [293]~P16(x2931)+E(f18(f18(f16(x2931),f3(x2931)),x2932),f3(x2931)) % 0.46/0.90 [309]~P2(x3091)+E(f18(f18(f16(x3091),f15(x3092,x3091)),x3092),f3(x3091)) % 0.46/0.90 [323]~P14(x3232)+E(f18(f15(x3231,f33(a2,x3232)),a38),f15(f18(x3231,a38),x3232)) % 0.46/0.90 [358]~P18(x3582)+E(f27(x3581,x3581,x3582),f20(x3581,f3(f33(x3582,a1)),x3582)) % 0.46/0.90 [529]~P18(x5291)+E(f18(f18(f16(f33(x5291,a1)),f25(x5292,x5291)),f24(x5292,x5291)),f20(x5292,f3(f33(x5291,a1)),x5291)) % 0.46/0.90 [574]~P18(x5742)+E(f5(f20(x5741,f3(f33(x5742,a1)),x5742),f22(x5741,x5742),f33(x5742,a1)),f20(x5741,f3(f33(x5742,a1)),x5742)) % 0.46/0.90 [436]~P3(x4362)+E(f9(f20(x4361,f3(f33(x4362,a1)),x4362),x4362),x4361) % 0.46/0.90 [437]~P19(x4372)+E(f12(f20(x4371,f3(f33(x4372,a1)),x4372),x4372),x4371) % 0.46/0.90 [438]~P19(x4382)+E(f13(f20(x4381,f3(f33(x4382,a1)),x4382),x4382),x4381) % 0.46/0.90 [439]~P3(x4392)+E(f8(f20(x4391,f3(f33(x4392,a1)),x4392),x4392),x4391) % 0.46/0.90 [310]~P1(x3103)+E(f4(x3101,x3102,x3103),f4(x3102,x3101,x3103)) % 0.46/0.90 [311]~P20(x3113)+E(f4(x3111,x3112,x3113),f4(x3112,x3111,x3113)) % 0.46/0.90 [331]~P5(x3312,x3313)+P5(f20(x3311,x3312,x3313),x3313) % 0.46/0.90 [349]~P27(f18(x3492,x3491))+P27(f19(x3491,x3492,x3493)) % 0.46/0.90 [359]~P1(x3593)+P9(x3591,f4(x3592,x3591,x3593),x3593) % 0.46/0.90 [360]~P20(x3603)+P9(x3601,f4(x3602,x3601,x3603),x3603) % 0.46/0.90 [361]~P1(x3613)+P9(x3611,f4(x3611,x3612,x3613),x3613) % 0.46/0.90 [362]~P20(x3623)+P9(x3621,f4(x3621,x3622,x3623),x3623) % 0.46/0.90 [385]~P8(x3851,x3852,f33(x3853,a1))+P9(x3851,x3852,f33(x3853,a1)) % 0.46/0.90 [396]P5(x3961,x3962)+~P5(f20(x3963,x3961,x3962),x3962) % 0.46/0.90 [398]P27(f18(x3981,x3982))+~P27(f19(x3982,x3981,x3983)) % 0.46/0.90 [434]E(f20(x4341,x4342,x4343),x4342)+~P27(f19(x4341,x4342,x4343)) % 0.46/0.90 [300]~P27(f18(x3001,x3003))+~E(x3001,f3(f33(x3002,a1))) % 0.46/0.90 [301]~P27(f18(x3012,x3013))+~E(f3(f33(x3011,a1)),x3012) % 0.46/0.90 [317]E(x3171,x3172)+~E(f15(x3171,f33(x3173,a1)),f15(x3172,f33(x3173,a1))) % 0.46/0.90 [324]~P2(x3241)+E(f18(f18(f16(x3241),x3242),f15(x3243,x3241)),f5(x3242,x3243,x3241)) % 0.46/0.90 [357]~P1(x3571)+E(f18(f18(f16(x3571),x3572),f4(x3572,x3573,x3571)),x3572) % 0.46/0.90 [380]~P23(x3803)+E(f15(f5(x3801,x3802,x3803),x3803),f5(x3802,x3801,x3803)) % 0.46/0.90 [381]~P5(x3811,x3813)+P5(f5(x3811,x3812,f33(x3813,a1)),x3813) % 0.46/0.90 [382]E(x3821,f3(f33(x3822,a1)))+~E(f4(x3823,x3821,f33(x3822,a1)),f3(f33(x3822,a1))) % 0.46/0.90 [383]E(x3831,f3(f33(x3832,a1)))+~E(f4(x3831,x3833,f33(x3832,a1)),f3(f33(x3832,a1))) % 0.46/0.90 [384]P4(x3841,x3842,x3843)+~P9(x3842,x3841,f33(f31(x3843),a1)) % 0.46/0.90 [390]~P9(x3901,x3902,f33(x3903,a1))+E(f4(x3901,x3902,f33(x3903,a1)),x3902) % 0.46/0.90 [391]~P9(x3912,x3911,f33(x3913,a1))+E(f4(x3911,x3912,f33(x3913,a1)),x3911) % 0.46/0.90 [392]P9(x3921,x3922,f33(x3923,a1))+~E(f4(x3921,x3922,f33(x3923,a1)),x3922) % 0.46/0.90 [399]~P3(x3991)+E(f18(f18(f16(x3991),x3992),f9(x3993,x3991)),f9(f20(x3992,x3993,x3991),x3991)) % 0.46/0.90 [400]~P3(x4003)+E(f4(x4001,f8(x4002,x4003),x4003),f8(f20(x4001,x4002,x4003),x4003)) % 0.46/0.90 [423]~P1(x4233)+E(f4(x4231,f4(x4231,x4232,x4233),x4233),f4(x4231,x4232,x4233)) % 0.46/0.90 [424]~P20(x4243)+E(f4(x4241,f4(x4241,x4242,x4243),x4243),f4(x4241,x4242,x4243)) % 0.46/0.90 [464]~P2(x4641)+E(f18(f18(f16(x4641),f15(x4642,x4641)),f15(x4643,x4641)),f15(f4(x4642,x4643,x4641),x4641)) % 0.46/0.90 [465]~P25(x4651)+E(f18(f18(f16(x4651),f15(x4652,x4651)),f15(x4653,x4651)),f15(f4(x4652,x4653,x4651),x4651)) % 0.46/0.90 [478]P5(x4781,x4782)+~P5(f4(x4783,x4781,f33(x4782,a1)),x4782) % 0.46/0.90 [479]P5(x4791,x4792)+~P5(f4(x4791,x4793,f33(x4792,a1)),x4792) % 0.46/0.90 [531]~P18(x5311)+E(f18(f18(f16(f33(x5311,a1)),f22(x5312,x5311)),f26(x5312,x5313,x5311)),f3(f33(x5311,a1))) % 0.46/0.90 [532]~P18(x5321)+E(f18(f18(f16(f33(x5321,a1)),f22(x5322,x5321)),f27(x5322,x5323,x5321)),f3(f33(x5321,a1))) % 0.46/0.90 [533]~P18(x5331)+E(f18(f18(f16(f33(x5331,a1)),f25(x5332,x5331)),f28(x5332,x5333,x5331)),f3(f33(x5331,a1))) % 0.46/0.90 [534]~P18(x5341)+E(f18(f18(f16(f33(x5341,a1)),f25(x5342,x5341)),f29(x5342,x5343,x5341)),f3(f33(x5341,a1))) % 0.46/0.90 [542]~P9(x5423,x5421,f33(x5422,a1))+P9(f15(x5421,f33(x5422,a1)),f15(x5423,f33(x5422,a1)),f33(x5422,a1)) % 0.46/0.90 [544]~P9(x5441,x5442,f33(x5443,a1))+E(f4(x5441,f5(x5442,x5441,f33(x5443,a1)),f33(x5443,a1)),x5442) % 0.46/0.90 [562]~P18(x5621)+E(f18(f18(f16(f33(x5621,a1)),f26(x5622,x5623,x5621)),f24(x5623,x5621)),f3(f33(x5621,a1))) % 0.46/0.90 [563]~P18(x5631)+E(f18(f18(f16(f33(x5631,a1)),f28(x5632,x5633,x5631)),f23(x5633,x5631)),f3(f33(x5631,a1))) % 0.46/0.90 [564]~P18(x5641)+E(f18(f18(f16(f33(x5641,a1)),f27(x5642,x5643,x5641)),f23(x5643,x5641)),f3(f33(x5641,a1))) % 0.46/0.90 [565]~P18(x5651)+E(f18(f18(f16(f33(x5651,a1)),f29(x5652,x5653,x5651)),f24(x5653,x5651)),f3(f33(x5651,a1))) % 0.46/0.90 [572]P9(x5721,x5722,f33(x5723,a1))+~P9(f15(x5722,f33(x5723,a1)),f15(x5721,f33(x5723,a1)),f33(x5723,a1)) % 0.46/0.90 [600]P27(f19(x6001,x6002,x6003))+E(f5(f20(x6001,x6002,x6003),f20(x6001,f3(f33(x6003,a1)),x6003),f33(x6003,a1)),x6002) % 0.46/0.90 [307]~P1(x3071)+E(f18(f18(f16(x3071),x3072),x3073),f18(f18(f16(x3071),x3073),x3072)) % 0.46/0.90 [308]~P17(x3081)+E(f18(f18(f16(x3081),x3082),x3083),f18(f18(f16(x3081),x3083),x3082)) % 0.46/0.90 [352]~P1(x3521)+P9(f18(f18(f16(x3521),x3522),x3523),x3523,x3521) % 0.46/0.90 [353]~P17(x3531)+P9(f18(f18(f16(x3531),x3532),x3533),x3533,x3531) % 0.46/0.90 [354]~P1(x3541)+P9(f18(f18(f16(x3541),x3542),x3543),x3542,x3541) % 0.46/0.90 [355]~P17(x3551)+P9(f18(f18(f16(x3551),x3552),x3553),x3552,x3551) % 0.46/0.90 [476]~P1(x4763)+E(f4(f18(x4761,a38),f18(x4762,a38),x4763),f18(f4(x4761,x4762,f33(a2,x4763)),a38)) % 0.46/0.90 [477]~P13(x4773)+E(f5(f18(x4771,a38),f18(x4772,a38),x4773),f18(f5(x4771,x4772,f33(a2,x4773)),a38)) % 0.46/0.90 [481]~P25(x4812)+E(f15(f4(f15(x4811,x4812),f15(x4813,x4812),x4812),x4812),f18(f18(f16(x4812),x4811),x4813)) % 0.46/0.90 [526]~P25(x5261)+E(f15(f18(f18(f16(x5261),f15(x5262,x5261)),f15(x5263,x5261)),x5261),f4(x5262,x5263,x5261)) % 0.46/0.90 [530]E(x5301,x5302)+~E(f20(x5301,f3(f33(x5303,a1)),x5303),f20(x5302,f3(f33(x5303,a1)),x5303)) % 0.46/0.90 [546]P27(f19(x5461,x5462,x5463))+P27(f19(x5461,f15(x5462,f33(x5463,a1)),x5463)) % 0.46/0.90 [623]~P27(f19(x6231,x6232,x6233))+~P27(f19(x6231,f15(x6232,f33(x6233,a1)),x6233)) % 0.46/0.90 [663]~P27(f19(x6631,x6632,x6633))+E(f20(x6631,f5(x6632,f20(x6631,f3(f33(x6633,a1)),x6633),f33(x6633,a1)),x6633),x6632) % 0.46/0.90 [356]~P1(x3562)+E(f4(x3561,f18(f18(f16(x3562),x3561),x3563),x3562),x3561) % 0.46/0.90 [404]~P1(x4041)+E(f18(f18(f16(x4041),x4042),f18(f18(f16(x4041),x4042),x4043)),f18(f18(f16(x4041),x4042),x4043)) % 0.46/0.90 [405]~P17(x4051)+E(f18(f18(f16(x4051),x4052),f18(f18(f16(x4051),x4052),x4053)),f18(f18(f16(x4051),x4052),x4053)) % 0.46/0.90 [430]~P2(x4302)+E(f4(f15(x4301,x4302),f15(x4303,x4302),x4302),f15(f18(f18(f16(x4302),x4301),x4303),x4302)) % 0.46/0.90 [431]~P25(x4312)+E(f4(f15(x4311,x4312),f15(x4313,x4312),x4312),f15(f18(f18(f16(x4312),x4311),x4313),x4312)) % 0.46/0.90 [474]~P9(x4743,x4742,f33(x4741,a1))+E(f18(f18(f16(f33(x4741,a1)),x4742),x4743),x4743) % 0.46/0.90 [475]~P9(x4752,x4753,f33(x4751,a1))+E(f18(f18(f16(f33(x4751,a1)),x4752),x4753),x4752) % 0.46/0.90 [520]~P5(x5203,x5201)+P5(f18(f18(f16(f33(x5201,a1)),x5202),x5203),x5201) % 0.46/0.90 [521]~P5(x5212,x5211)+P5(f18(f18(f16(f33(x5211,a1)),x5212),x5213),x5211) % 0.46/0.90 [543]E(f5(x5431,x5432,f33(x5433,a1)),x5431)+~E(f18(f18(f16(f33(x5433,a1)),x5431),x5432),f3(f33(x5433,a1))) % 0.46/0.90 [554]~P9(x5542,f15(x5543,f33(x5541,a1)),f33(x5541,a1))+E(f18(f18(f16(f33(x5541,a1)),x5542),x5543),f3(f33(x5541,a1))) % 0.46/0.90 [566]P9(x5661,f15(x5662,f33(x5663,a1)),f33(x5663,a1))+~E(f18(f18(f16(f33(x5663,a1)),x5661),x5662),f3(f33(x5663,a1))) % 0.46/0.90 [655]E(x6551,x6552)+~P27(f18(f20(x6551,f3(f33(x6553,a1)),x6553),x6552)) % 0.46/0.90 [670]E(x6701,x6702)+~P27(f19(x6701,f20(x6702,f3(f33(x6703,a1)),x6703),x6703)) % 0.46/0.90 [676]E(x6761,f17(f20(x6762,f3(f33(x6763,a1)),x6763),x6763))+~P27(f18(f20(x6762,f3(f33(x6763,a1)),x6763),x6761)) % 0.46/0.90 [573]~P1(x5731)+E(f18(f18(f18(f16(f33(a2,x5731)),x5732),x5733),a38),f18(f18(f16(x5731),f18(x5732,a38)),f18(x5733,a38))) % 0.46/0.90 [631]~P3(x6313)+E(f9(f20(x6311,f20(x6312,f3(f33(x6313,a1)),x6313),x6313),x6313),f18(f18(f16(x6313),x6311),x6312)) % 0.46/0.90 [632]~P3(x6323)+E(f8(f20(x6321,f20(x6322,f3(f33(x6323,a1)),x6323),x6323),x6323),f4(x6321,x6322,x6323)) % 0.46/0.90 [489]~P9(x4891,x4893,f33(x4894,a1))+P9(x4891,f20(x4892,x4893,x4894),f33(x4894,a1)) % 0.46/0.90 [547]~P9(f20(x5474,x5471,x5473),x5472,f33(x5473,a1))+P9(x5471,x5472,f33(x5473,a1)) % 0.46/0.90 [553]~P9(f20(x5531,x5534,x5533),x5532,f33(x5533,a1))+P27(f19(x5531,x5532,x5533)) % 0.46/0.90 [560]~P9(x5602,x5604,f33(x5603,a1))+P9(f20(x5601,x5602,x5603),f20(x5601,x5604,x5603),f33(x5603,a1)) % 0.46/0.90 [486]~P27(f18(x4862,x4864))+P27(f18(f20(x4861,x4862,x4863),x4864)) % 0.46/0.90 [522]~P1(x5224)+E(f4(x5221,f4(x5222,x5223,x5224),x5224),f4(x5222,f4(x5221,x5223,x5224),x5224)) % 0.46/0.90 [523]~P20(x5234)+E(f4(x5231,f4(x5232,x5233,x5234),x5234),f4(x5232,f4(x5231,x5233,x5234),x5234)) % 0.46/0.90 [524]~P1(x5243)+E(f4(f4(x5241,x5242,x5243),x5244,x5243),f4(x5241,f4(x5242,x5244,x5243),x5243)) % 0.46/0.90 [525]~P20(x5253)+E(f4(f4(x5251,x5252,x5253),x5254,x5253),f4(x5251,f4(x5252,x5254,x5253),x5253)) % 0.46/0.90 [575]~P27(f19(x5751,x5754,x5753))+E(f5(f20(x5751,x5752,x5753),x5754,f33(x5753,a1)),f5(x5752,x5754,f33(x5753,a1))) % 0.46/0.90 [577]P9(x5771,x5772,f33(x5773,a1))+~P9(f4(x5774,x5771,f33(x5773,a1)),x5772,f33(x5773,a1)) % 0.46/0.90 [578]P9(x5781,x5782,f33(x5783,a1))+~P9(f4(x5781,x5784,f33(x5783,a1)),x5782,f33(x5783,a1)) % 0.46/0.90 [588]~P18(x5881)+E(f18(f18(f16(f33(x5881,a1)),f26(x5882,x5883,x5881)),f26(x5883,x5884,x5881)),f3(f33(x5881,a1))) % 0.46/0.90 [589]~P18(x5891)+E(f18(f18(f16(f33(x5891,a1)),f26(x5892,x5893,x5891)),f27(x5893,x5894,x5891)),f3(f33(x5891,a1))) % 0.46/0.90 [590]~P18(x5901)+E(f18(f18(f16(f33(x5901,a1)),f28(x5902,x5903,x5901)),f28(x5903,x5904,x5901)),f3(f33(x5901,a1))) % 0.46/0.90 [591]~P18(x5911)+E(f18(f18(f16(f33(x5911,a1)),f28(x5912,x5913,x5911)),f29(x5913,x5914,x5911)),f3(f33(x5911,a1))) % 0.46/0.90 [592]~P18(x5921)+E(f18(f18(f16(f33(x5921,a1)),f27(x5922,x5923,x5921)),f28(x5923,x5924,x5921)),f3(f33(x5921,a1))) % 0.46/0.90 [593]~P18(x5931)+E(f18(f18(f16(f33(x5931,a1)),f27(x5932,x5933,x5931)),f29(x5933,x5934,x5931)),f3(f33(x5931,a1))) % 0.46/0.90 [594]~P18(x5941)+E(f18(f18(f16(f33(x5941,a1)),f29(x5942,x5943,x5941)),f26(x5943,x5944,x5941)),f3(f33(x5941,a1))) % 0.46/0.90 [595]~P18(x5951)+E(f18(f18(f16(f33(x5951,a1)),f29(x5952,x5953,x5951)),f27(x5953,x5954,x5951)),f3(f33(x5951,a1))) % 0.46/0.90 [597]~P27(f19(x5971,x5973,x5974))+P27(f19(x5971,f20(x5972,x5973,x5974),x5974)) % 0.46/0.90 [629]~P9(f5(x6291,x6292,f33(x6294,a1)),x6293,f33(x6294,a1))+P9(x6291,f4(x6292,x6293,f33(x6294,a1)),f33(x6294,a1)) % 0.46/0.90 [630]~P9(x6301,f4(x6302,x6304,f33(x6303,a1)),f33(x6303,a1))+P9(f5(x6301,x6302,f33(x6303,a1)),x6304,f33(x6303,a1)) % 0.46/0.90 [644]~P5(f5(x6441,x6443,f33(x6444,a1)),x6444)+P5(f5(x6441,f20(x6442,x6443,x6444),f33(x6444,a1)),x6444) % 0.46/0.90 [657]~P5(f5(x6571,f20(x6574,x6572,x6573),f33(x6573,a1)),x6573)+P5(f5(x6571,x6572,f33(x6573,a1)),x6573) % 0.46/0.90 [549]~P27(f18(x5492,x5494))+P27(f18(f4(x5491,x5492,f33(x5493,a1)),x5494)) % 0.46/0.90 [550]~P27(f18(x5501,x5504))+P27(f18(f4(x5501,x5502,f33(x5503,a1)),x5504)) % 0.46/0.90 [598]P27(f19(x5981,x5984,x5983))+E(f5(f20(x5981,x5982,x5983),x5984,f33(x5983,a1)),f20(x5981,f5(x5982,x5984,f33(x5983,a1)),x5983)) % 0.46/0.90 [627]~P27(f19(x6271,x6273,x6274))+P27(f19(x6271,f4(x6272,x6273,f33(x6274,a1)),x6274)) % 0.46/0.90 [628]~P27(f19(x6281,x6282,x6284))+P27(f19(x6281,f4(x6282,x6283,f33(x6284,a1)),x6284)) % 0.46/0.90 [659]P27(f19(x6591,x6592,x6593))+~P27(f19(x6591,f5(x6592,x6594,f33(x6593,a1)),x6593)) % 0.46/0.90 [661]~P9(x6614,x6612,f33(x6611,a1))+E(f4(f18(f18(f16(f33(x6611,a1)),x6612),x6613),x6614,f33(x6611,a1)),f18(f18(f16(f33(x6611,a1)),x6612),f4(x6613,x6614,f33(x6611,a1)))) % 0.46/0.90 [665]~P27(f19(x6651,x6652,x6653))+~P27(f19(x6651,f5(x6654,x6652,f33(x6653,a1)),x6653)) % 0.46/0.90 [684]P9(x6841,x6842,f33(x6843,a1))+~E(f4(f18(f18(f16(f33(x6843,a1)),x6842),x6844),x6841,f33(x6843,a1)),f18(f18(f16(f33(x6843,a1)),x6842),f4(x6844,x6841,f33(x6843,a1)))) % 0.46/0.90 [687]P27(f19(x6873,x6872,x6874))+E(f14(x6871,f5(x6872,f20(x6873,f3(f33(x6874,a1)),x6874),f33(x6874,a1)),x6874,a32),f14(x6871,x6872,x6874,a32)) % 0.46/0.90 [494]~P1(x4941)+E(f18(f18(f16(x4941),x4942),f18(f18(f16(x4941),x4943),x4944)),f18(f18(f16(x4941),x4943),f18(f18(f16(x4941),x4942),x4944))) % 0.46/0.90 [495]~P17(x4951)+E(f18(f18(f16(x4951),x4952),f18(f18(f16(x4951),x4953),x4954)),f18(f18(f16(x4951),x4953),f18(f18(f16(x4951),x4952),x4954))) % 0.46/0.90 [571]~P15(x5711)+E(f4(f18(f18(f16(x5711),x5712),x5713),f18(f18(f16(x5711),x5712),x5714),x5711),f18(f18(f16(x5711),x5712),f4(x5713,x5714,x5711))) % 0.46/0.90 [599]P27(f19(x5993,x5992,x5991))+E(f18(f18(f16(f33(x5991,a1)),x5992),f20(x5993,x5994,x5991)),f18(f18(f16(f33(x5991,a1)),x5992),x5994)) % 0.46/0.90 [612]~P15(x6121)+E(f4(f18(f18(f16(x6121),x6122),x6123),f18(f18(f16(x6121),x6124),x6123),x6121),f18(f18(f16(x6121),f4(x6122,x6124,x6121)),x6123)) % 0.46/0.90 [613]~P15(x6131)+E(f18(f18(f16(x6131),f4(x6132,x6133,x6131)),f4(x6132,x6134,x6131)),f4(x6132,f18(f18(f16(x6131),x6133),x6134),x6131)) % 0.46/0.90 [614]~P15(x6141)+E(f18(f18(f16(x6141),f4(x6142,x6143,x6141)),f4(x6144,x6143,x6141)),f4(f18(f18(f16(x6141),x6142),x6144),x6143,x6141)) % 0.46/0.90 [639]P27(f19(x6392,x6394,x6391))+E(f18(f18(f16(f33(x6391,a1)),f20(x6392,x6393,x6391)),x6394),f18(f18(f16(f33(x6391,a1)),x6393),x6394)) % 0.46/0.90 [647]P9(x6471,x6472,f33(x6473,a1))+~P9(x6471,f18(f18(f16(f33(x6473,a1)),x6474),x6472),f33(x6473,a1)) % 0.46/0.90 [648]P9(x6481,x6482,f33(x6483,a1))+~P9(x6481,f18(f18(f16(f33(x6483,a1)),x6482),x6484),f33(x6483,a1)) % 0.46/0.90 [674]~P1(x6741)+P9(f4(f18(f18(f16(x6741),x6742),x6743),f18(f18(f16(x6741),x6742),x6744),x6741),f18(f18(f16(x6741),x6742),f4(x6743,x6744,x6741)),x6741) % 0.46/0.90 [685]~P1(x6852)+P9(f4(x6851,f18(f18(f16(x6852),x6853),x6854),x6852),f18(f18(f16(x6852),f4(x6851,x6853,x6852)),f4(x6851,x6854,x6852)),x6852) % 0.46/0.90 [569]~P1(x5691)+E(f18(f18(f16(x5691),f18(f18(f16(x5691),x5692),x5693)),x5694),f18(f18(f16(x5691),x5692),f18(f18(f16(x5691),x5693),x5694))) % 0.46/0.90 [570]~P17(x5701)+E(f18(f18(f16(x5701),f18(f18(f16(x5701),x5702),x5703)),x5704),f18(f18(f16(x5701),x5702),f18(f18(f16(x5701),x5703),x5704))) % 0.46/0.90 [658]~P27(f19(x6581,x6583,x6582))+E(f20(x6581,f18(f18(f16(f33(x6582,a1)),x6583),x6584),x6582),f18(f18(f16(f33(x6582,a1)),x6583),f20(x6581,x6584,x6582))) % 0.46/0.90 [671]~P27(f19(x6711,x6714,x6712))+E(f20(x6711,f18(f18(f16(f33(x6712,a1)),x6713),x6714),x6712),f18(f18(f16(f33(x6712,a1)),f20(x6711,x6713,x6712)),x6714)) % 0.46/0.90 [677]P27(f18(x6771,x6772))+~P27(f18(f18(f18(f16(f33(x6773,a1)),x6774),x6771),x6772)) % 0.46/0.90 [678]P27(f18(x6781,x6782))+~P27(f18(f18(f18(f16(f33(x6783,a1)),x6781),x6784),x6782)) % 0.46/0.90 [682]P27(f18(x6821,x6822))+~P27(f19(x6822,f18(f18(f16(f33(x6823,a1)),x6824),x6821),x6823)) % 0.46/0.90 [688]P27(f19(x6881,x6882,x6883))+~P27(f19(x6881,f18(f18(f16(f33(x6883,a1)),x6884),x6882),x6883)) % 0.46/0.90 [690]P27(f19(x6901,x6902,x6903))+~P27(f19(x6901,f18(f18(f16(f33(x6903,a1)),x6902),x6904),x6903)) % 0.46/0.90 [708]E(x7081,x7082)+~P27(f18(f6(x7083,f20(x7081,f3(f33(x7084,a1)),x7084),x7084),x7082)) % 0.46/0.90 [664]P9(f18(x6641,x6642),f7(x6643,x6641,x6644,f33(x6645,a1)),f33(x6645,a1))+~P27(f19(x6642,x6643,x6644)) % 0.46/0.90 [681]~P27(f19(x6812,x6813,x6814))+E(f4(f18(x6811,x6812),f7(x6813,x6811,x6814,f33(x6815,a1)),f33(x6815,a1)),f7(x6813,x6811,x6814,f33(x6815,a1))) % 0.46/0.90 [712]E(x7121,x7122)+~P7(x7123,x7122,f3(f33(x7124,a1)),x7121,x7124,x7125) % 0.46/0.90 [711]P5(x7111,x7112)+~P7(x7113,x7114,x7111,x7115,x7112,x7116) % 0.46/0.90 [717]~P6(x7174,x7171,x7175,x7176,x7177,x7178,x7173,x7179,x7172)+E(f18(x7171,f3(f33(x7172,a1))),x7173) % 0.46/0.90 [718]~P6(x7181,x7184,x7185,x7186,x7187,x7188,x7189,x7183,x7182)+E(f18(x7181,f3(f33(x7182,a1))),x7183) % 0.46/0.90 [721]~P6(x7214,x7211,x7215,x7216,x7217,x7218,x7219,x72110,x7213)+E(f18(x7211,f20(x7212,f3(f33(x7213,a1)),x7213)),x7212) % 0.46/0.90 [722]~P6(x7221,x7224,x7225,x7226,x7227,x7228,x7229,x72210,x7223)+E(f18(x7221,f20(x7222,f3(f33(x7223,a1)),x7223)),x7222) % 0.46/0.90 [719]~P6(x7196,x7191,x7197,x7198,x7199,x7195,x71910,x71911,x7194)+E(f18(x7191,f20(x7192,x7193,x7194)),f18(f18(x7195,x7192),f18(x7191,x7193))) % 0.46/0.90 [720]~P6(x7201,x7206,x7207,x7208,x7205,x7209,x72010,x72011,x7204)+E(f18(x7201,f20(x7202,x7203,x7204)),f18(f18(x7205,x7202),f18(x7201,x7203))) % 0.46/0.90 [725]~P6(x7256,x7251,x7257,x7258,x7259,x7255,x72510,x72511,x7254)+E(f18(x7251,f20(x7252,f20(x7253,f3(f33(x7254,a1)),x7254),x7254)),f18(f18(x7255,x7252),x7253)) % 0.46/0.90 [726]~P6(x7261,x7266,x7267,x7268,x7265,x7269,x72610,x72611,x7264)+E(f18(x7261,f20(x7262,f20(x7263,f3(f33(x7264,a1)),x7264),x7264)),f18(f18(x7265,x7262),x7263)) % 0.46/0.90 [272]~P11(x2722)+~P11(x2721)+P11(f33(x2721,x2722)) % 0.46/0.90 [312]P9(x3122,x3121,x3123)+~P19(x3123)+P9(x3121,x3122,x3123) % 0.46/0.90 [315]P8(x3152,x3151,x3153)+~P19(x3153)+P9(x3151,x3152,x3153) % 0.46/0.90 [335]~P18(x3353)+~P8(x3351,x3352,x3353)+P9(x3351,x3352,x3353) % 0.46/0.90 [336]~P26(x3363)+~P8(x3361,x3362,x3363)+P9(x3361,x3362,x3363) % 0.46/0.90 [367]~P8(x3673,x3672,x3671)+~P18(x3671)+~P8(x3672,x3673,x3671) % 0.46/0.90 [369]~P8(x3693,x3692,x3691)+~P19(x3691)+~P9(x3692,x3693,x3691) % 0.46/0.90 [371]~P8(x3713,x3712,x3711)+~P19(x3711)+~P8(x3712,x3713,x3711) % 0.46/0.90 [372]~P8(x3723,x3722,x3721)+~P26(x3721)+~P9(x3722,x3723,x3721) % 0.46/0.90 [374]~P8(x3743,x3742,x3741)+~P26(x3741)+~P8(x3742,x3743,x3741) % 0.46/0.90 [278]~P2(x2783)+E(x2781,x2782)+~E(f15(x2781,x2783),f15(x2782,x2783)) % 0.46/0.90 [279]~P22(x2793)+E(x2791,x2792)+~E(f15(x2791,x2793),f15(x2792,x2793)) % 0.46/0.90 [280]~P19(x2803)+E(x2801,x2802)+~E(f22(x2801,x2803),f22(x2802,x2803)) % 0.46/0.90 [281]~P19(x2813)+E(x2811,x2812)+~E(f23(x2811,x2813),f23(x2812,x2813)) % 0.46/0.90 [282]~P19(x2823)+E(x2821,x2822)+~E(f24(x2821,x2823),f24(x2822,x2823)) % 0.46/0.90 [283]~P19(x2833)+E(x2831,x2832)+~E(f25(x2831,x2833),f25(x2832,x2833)) % 0.46/0.90 [305]~P16(x3052)+~E(f4(x3053,x3051,x3052),f3(x3052))+E(x3051,f3(x3052)) % 0.46/0.90 [306]~P16(x3062)+~E(f4(x3061,x3063,x3062),f3(x3062))+E(x3061,f3(x3062)) % 0.46/0.90 [337]~P20(x3373)+~P9(x3371,x3372,x3373)+E(f4(x3371,x3372,x3373),x3372) % 0.46/0.90 [338]~P20(x3383)+~P9(x3382,x3381,x3383)+E(f4(x3381,x3382,x3383),x3381) % 0.46/0.90 [339]~P20(x3393)+P9(x3391,x3392,x3393)+~E(f4(x3391,x3392,x3393),x3392) % 0.46/0.90 [351]P5(x3511,x3512)+~P5(x3513,x3512)+~P9(x3511,x3513,f33(x3512,a1)) % 0.46/0.90 [386]~P24(x3862)+~P9(x3863,x3861,x3862)+P9(f15(x3861,x3862),f15(x3863,x3862),x3862) % 0.46/0.90 [387]~P24(x3872)+~P8(x3873,x3871,x3872)+P8(f15(x3871,x3872),f15(x3873,x3872),x3872) % 0.46/0.90 [394]E(x3941,x3942)+~P9(x3941,x3942,f33(x3943,a1))+P8(x3941,x3942,f33(x3943,a1)) % 0.46/0.90 [408]~P24(x4083)+~P9(x4082,f15(x4081,x4083),x4083)+P9(x4081,f15(x4082,x4083),x4083) % 0.46/0.90 [410]~P24(x4103)+~P8(x4102,f15(x4101,x4103),x4103)+P8(x4101,f15(x4102,x4103),x4103) % 0.46/0.90 [412]~P24(x4122)+~P9(f15(x4123,x4122),x4121,x4122)+P9(f15(x4121,x4122),x4123,x4122) % 0.46/0.90 [414]~P24(x4142)+~P8(f15(x4143,x4142),x4141,x4142)+P8(f15(x4141,x4142),x4143,x4142) % 0.46/0.90 [425]~P19(x4252)+~P9(x4251,x4253,x4252)+P9(f22(x4251,x4252),f22(x4253,x4252),f33(x4252,a1)) % 0.46/0.90 [426]~P19(x4262)+~P9(x4263,x4261,x4262)+P9(f23(x4261,x4262),f23(x4263,x4262),f33(x4262,a1)) % 0.46/0.90 [427]~P18(x4272)+~P9(x4273,x4271,x4272)+P9(f24(x4271,x4272),f24(x4273,x4272),f33(x4272,a1)) % 0.46/0.90 [428]~P18(x4282)+~P9(x4281,x4283,x4282)+P9(f25(x4281,x4282),f25(x4283,x4282),f33(x4282,a1)) % 0.46/0.90 [432]~P24(x4323)+P9(x4321,x4322,x4323)+~P9(f15(x4322,x4323),f15(x4321,x4323),x4323) % 0.46/0.90 [433]~P24(x4333)+P8(x4331,x4332,x4333)+~P8(f15(x4332,x4333),f15(x4331,x4333),x4333) % 0.46/0.90 [451]E(x4511,x4512)+~P9(x4511,x4512,f33(x4513,a1))+~P9(x4512,x4511,f33(x4513,a1)) % 0.46/0.90 [467]~P3(x4673)+P9(x4671,f8(x4672,x4673),x4673)+~P27(f19(x4671,x4672,x4673)) % 0.46/0.90 [468]~P3(x4682)+P9(f9(x4681,x4682),x4683,x4682)+~P27(f19(x4683,x4681,x4682)) % 0.46/0.90 [470]~P18(x4703)+P9(x4701,x4702,x4703)+~P9(f24(x4702,x4703),f24(x4701,x4703),f33(x4703,a1)) % 0.46/0.90 [471]~P18(x4713)+P9(x4711,x4712,x4713)+~P9(f25(x4711,x4713),f25(x4712,x4713),f33(x4713,a1)) % 0.46/0.90 [472]~P19(x4723)+P9(x4721,x4722,x4723)+~P9(f22(x4721,x4723),f22(x4722,x4723),f33(x4723,a1)) % 0.46/0.90 [473]~P19(x4733)+P9(x4731,x4732,x4733)+~P9(f23(x4732,x4733),f23(x4731,x4733),f33(x4733,a1)) % 0.46/0.90 [325]P8(x3251,x3252,x3253)+~P18(x3253)+E(f26(x3251,x3252,x3253),f3(f33(x3253,a1))) % 0.46/0.90 [326]P8(x3261,x3262,x3263)+~P18(x3263)+E(f28(x3261,x3262,x3263),f3(f33(x3263,a1))) % 0.46/0.90 [327]P9(x3271,x3272,x3273)+~P18(x3273)+E(f27(x3271,x3272,x3273),f3(f33(x3273,a1))) % 0.46/0.90 [328]P8(x3282,x3283,x3281)+~P18(x3281)+E(f3(f33(x3281,a1)),f26(x3282,x3283,x3281)) % 0.46/0.90 [329]P8(x3292,x3293,x3291)+~P18(x3291)+E(f3(f33(x3291,a1)),f28(x3292,x3293,x3291)) % 0.46/0.90 [330]P9(x3302,x3303,x3301)+~P18(x3301)+E(f3(f33(x3301,a1)),f27(x3302,x3303,x3301)) % 0.46/0.90 [363]~P18(x3633)+~P9(x3632,x3631,x3633)+E(f26(x3631,x3632,x3633),f3(f33(x3633,a1))) % 0.46/0.90 [364]~P18(x3643)+~P9(x3642,x3641,x3643)+E(f28(x3641,x3642,x3643),f3(f33(x3643,a1))) % 0.46/0.90 [365]~P18(x3653)+~P8(x3652,x3651,x3653)+E(f27(x3651,x3652,x3653),f3(f33(x3653,a1))) % 0.46/0.90 [366]~P18(x3663)+~P9(x3662,x3661,x3663)+E(f29(x3661,x3662,x3663),f3(f33(x3663,a1))) % 0.46/0.90 [402]~P5(x4022,x4023)+~P5(x4021,x4023)+P5(f4(x4021,x4022,f33(x4023,a1)),x4023) % 0.46/0.90 [417]~P18(x4173)+~P8(x4171,x4172,x4173)+~E(f26(x4171,x4172,x4173),f3(f33(x4173,a1))) % 0.46/0.90 [418]~P18(x4183)+~P8(x4181,x4182,x4183)+~E(f28(x4181,x4182,x4183),f3(f33(x4183,a1))) % 0.46/0.90 [419]~P18(x4193)+~P9(x4191,x4192,x4193)+~E(f27(x4191,x4192,x4193),f3(f33(x4193,a1))) % 0.46/0.90 [420]~P18(x4201)+~P8(x4202,x4203,x4201)+~E(f3(f33(x4201,a1)),f26(x4202,x4203,x4201)) % 0.46/0.90 [421]~P18(x4211)+~P8(x4212,x4213,x4211)+~E(f3(f33(x4211,a1)),f28(x4212,x4213,x4211)) % 0.46/0.90 [422]~P18(x4221)+~P9(x4222,x4223,x4221)+~E(f3(f33(x4221,a1)),f27(x4222,x4223,x4221)) % 0.46/0.90 [460]~P12(x4603)+~P8(x4601,x4602,x4603)+P27(f19(x4601,f22(x4602,x4603),x4603)) % 0.46/0.90 [461]~P12(x4613)+~P8(x4612,x4611,x4613)+P27(f19(x4611,f23(x4612,x4613),x4613)) % 0.46/0.90 [462]~P12(x4623)+~P9(x4622,x4621,x4623)+P27(f19(x4621,f24(x4622,x4623),x4623)) % 0.46/0.90 [463]~P12(x4633)+~P9(x4631,x4632,x4633)+P27(f19(x4631,f25(x4632,x4633),x4633)) % 0.46/0.90 [488]P5(x4881,x4882)+~P5(x4883,x4882)+~P5(f5(x4881,x4883,f33(x4882,a1)),x4882) % 0.46/0.90 [500]~P19(x5002)+~P9(x5001,x5003,x5002)+E(f4(f22(x5001,x5002),f26(x5001,x5003,x5002),f33(x5002,a1)),f22(x5003,x5002)) % 0.46/0.90 [501]~P19(x5012)+~P9(x5011,x5013,x5012)+E(f4(f22(x5011,x5012),f27(x5011,x5013,x5012),f33(x5012,a1)),f25(x5013,x5012)) % 0.46/0.90 [502]~P19(x5022)+~P9(x5021,x5023,x5022)+E(f4(f25(x5021,x5022),f28(x5021,x5023,x5022),f33(x5022,a1)),f25(x5023,x5022)) % 0.46/0.90 [503]~P19(x5032)+~P8(x5031,x5033,x5032)+E(f4(f25(x5031,x5032),f29(x5031,x5033,x5032),f33(x5032,a1)),f22(x5033,x5032)) % 0.46/0.90 [504]~P19(x5043)+~P9(x5041,x5042,x5043)+E(f4(f26(x5041,x5042,x5043),f24(x5042,x5043),f33(x5043,a1)),f24(x5041,x5043)) % 0.46/0.90 [505]~P19(x5053)+~P9(x5051,x5052,x5053)+E(f4(f28(x5051,x5052,x5053),f23(x5052,x5053),f33(x5053,a1)),f23(x5051,x5053)) % 0.46/0.90 [506]~P19(x5063)+~P9(x5061,x5062,x5063)+E(f4(f27(x5061,x5062,x5063),f23(x5062,x5063),f33(x5063,a1)),f24(x5061,x5063)) % 0.46/0.90 [507]~P19(x5073)+~P8(x5071,x5072,x5073)+E(f4(f29(x5071,x5072,x5073),f24(x5072,x5073),f33(x5073,a1)),f23(x5071,x5073)) % 0.46/0.90 [508]~P12(x5083)+P9(x5081,x5082,x5083)+~P27(f19(x5082,f24(x5081,x5083),x5083)) % 0.46/0.90 [509]~P12(x5093)+P9(x5091,x5092,x5093)+~P27(f19(x5091,f25(x5092,x5093),x5093)) % 0.46/0.90 [510]~P12(x5103)+P8(x5101,x5102,x5103)+~P27(f19(x5102,f23(x5101,x5103),x5103)) % 0.46/0.90 [511]~P12(x5113)+P8(x5111,x5112,x5113)+~P27(f19(x5111,f22(x5112,x5113),x5113)) % 0.46/0.90 [616]~P19(x6163)+~P9(x6161,x6162,x6163)+E(f4(f26(x6161,x6162,x6163),f20(x6162,f3(f33(x6163,a1)),x6163),f33(x6163,a1)),f27(x6161,x6162,x6163)) % 0.46/0.90 [617]~P19(x6173)+~P8(x6171,x6172,x6173)+E(f4(f29(x6171,x6172,x6173),f20(x6172,f3(f33(x6173,a1)),x6173),f33(x6173,a1)),f28(x6171,x6172,x6173)) % 0.46/0.90 [618]~P19(x6182)+~P9(x6181,x6183,x6182)+E(f4(f20(x6181,f3(f33(x6182,a1)),x6182),f28(x6181,x6183,x6182),f33(x6182,a1)),f27(x6181,x6183,x6182)) % 0.46/0.90 [619]~P19(x6192)+~P8(x6191,x6193,x6192)+E(f4(f20(x6191,f3(f33(x6192,a1)),x6192),f29(x6191,x6193,x6192),f33(x6192,a1)),f26(x6191,x6193,x6192)) % 0.46/0.90 [332]~P17(x3323)+P9(x3321,x3322,x3323)+~E(f18(f18(f16(x3323),x3321),x3322),x3321) % 0.46/0.90 [333]~P17(x3331)+~P9(x3333,x3332,x3331)+E(f18(f18(f16(x3331),x3332),x3333),x3333) % 0.46/0.90 [334]~P17(x3341)+~P9(x3342,x3343,x3341)+E(f18(f18(f16(x3341),x3342),x3343),x3342) % 0.46/0.90 [625]~P9(x6251,f20(x6253,f3(f33(x6252,a1)),x6252),f33(x6252,a1))+E(x6251,f3(f33(x6252,a1)))+E(x6251,f20(x6253,f3(f33(x6252,a1)),x6252)) % 0.46/0.90 [429]~P4(x4291,x4294,x4293)+P4(x4291,x4292,x4293)+~P4(x4294,x4292,x4293) % 0.46/0.90 [375]~P23(x3754)+E(x3751,x3752)+~E(f5(x3753,x3753,x3754),f5(x3751,x3752,x3754)) % 0.46/0.90 [376]~P23(x3763)+E(x3761,x3762)+~E(f5(x3761,x3762,x3763),f5(x3764,x3764,x3763)) % 0.46/0.90 [389]~P9(x3893,x3891,f33(x3894,a1))+P27(f18(x3891,x3892))+~P27(f18(x3893,x3892)) % 0.46/0.90 [406]~P12(x4064)+P9(x4061,x4062,f33(x4063,x4064))+~P8(x4061,x4062,f33(x4063,x4064)) % 0.46/0.90 [456]~P20(x4564)+~P9(x4561,x4563,x4564)+P9(x4561,f4(x4562,x4563,x4564),x4564) % 0.46/0.90 [457]~P20(x4574)+~P9(x4571,x4572,x4574)+P9(x4571,f4(x4572,x4573,x4574),x4574) % 0.46/0.90 [458]~P20(x4584)+~P8(x4581,x4583,x4584)+P8(x4581,f4(x4582,x4583,x4584),x4584) % 0.46/0.90 [459]~P20(x4594)+~P8(x4591,x4592,x4594)+P8(x4591,f4(x4592,x4593,x4594),x4594) % 0.46/0.90 [466]~P12(x4661)+~P9(x4662,x4663,f33(x4664,x4661))+~P8(x4663,x4662,f33(x4664,x4661)) % 0.46/0.90 [497]~P20(x4973)+P9(x4971,x4972,x4973)+~P9(f4(x4974,x4971,x4973),x4972,x4973) % 0.46/0.90 [499]~P20(x4993)+P9(x4991,x4992,x4993)+~P9(f4(x4991,x4994,x4993),x4992,x4993) % 0.46/0.90 [516]~P9(x5161,x5164,f33(x5163,a1))+~P9(x5164,x5162,f33(x5163,a1))+P9(x5161,x5162,f33(x5163,a1)) % 0.46/0.90 [517]~P8(x5171,x5174,f33(x5173,a1))+~P9(x5174,x5172,f33(x5173,a1))+P8(x5171,x5172,f33(x5173,a1)) % 0.46/0.90 [518]~P8(x5184,x5182,f33(x5183,a1))+~P9(x5181,x5184,f33(x5183,a1))+P8(x5181,x5182,f33(x5183,a1)) % 0.46/0.90 [519]~P8(x5191,x5194,f33(x5193,a1))+~P8(x5194,x5192,f33(x5193,a1))+P8(x5191,x5192,f33(x5193,a1)) % 0.46/0.90 [558]~P9(x5584,x5582,f33(x5583,a1))+P27(f19(x5581,x5582,x5583))+~P27(f19(x5581,x5584,x5583)) % 0.46/0.90 [559]~P8(x5594,x5592,f33(x5593,a1))+P27(f19(x5591,x5592,x5593))+~P27(f19(x5591,x5594,x5593)) % 0.46/0.90 [585]~P9(x5852,f20(x5851,x5854,x5853),f33(x5853,a1))+P9(x5852,x5854,f33(x5853,a1))+P27(f19(x5851,x5852,x5853)) % 0.46/0.90 [586]~P8(x5861,x5863,f33(x5864,a1))+P8(x5861,f20(x5862,x5863,x5864),f33(x5864,a1))+~P27(f19(x5862,x5863,x5864)) % 0.46/0.90 [587]~P9(x5872,x5874,f33(x5873,a1))+P9(f20(x5871,x5872,x5873),x5874,f33(x5873,a1))+~P27(f19(x5871,x5874,x5873)) % 0.46/0.90 [620]~P8(x6201,f20(x6204,x6202,x6203),f33(x6203,a1))+P8(x6201,x6202,f33(x6203,a1))+~P27(f19(x6204,x6202,x6203)) % 0.46/0.90 [480]P4(x4801,x4802,x4803)+~P4(x4801,x4804,x4803)+~P9(x4802,x4804,f33(f31(x4803),a1)) % 0.46/0.90 [561]E(x5611,x5612)+P27(f18(x5613,x5611))+~P27(f18(f20(x5612,x5613,x5614),x5611)) % 0.46/0.90 [576]~P19(x5763)+~P9(x5761,x5764,x5763)+E(f5(f26(x5761,x5762,x5763),f26(x5761,x5764,x5763),f33(x5763,a1)),f26(x5764,x5762,x5763)) % 0.46/0.90 [582]~P9(x5821,x5824,f33(x5823,a1))+~P9(x5822,x5824,f33(x5823,a1))+P9(f4(x5821,x5822,f33(x5823,a1)),x5824,f33(x5823,a1)) % 0.46/0.90 [583]~P9(x5831,x5832,f33(x5834,a1))+~P9(x5833,x5831,f33(x5834,a1))+E(f5(x5831,f5(x5832,x5833,f33(x5834,a1)),f33(x5834,a1)),x5833) % 0.46/0.90 [641]E(x6411,x6412)+P27(f19(x6411,x6413,x6414))+~P27(f19(x6411,f20(x6412,x6413,x6414),x6414)) % 0.46/0.90 [660]~P4(x6601,x6603,x6604)+P4(x6601,f20(x6602,x6603,f31(x6604)),x6604)+~P4(x6601,f20(x6602,f3(f33(f31(x6604),a1)),f31(x6604)),x6604) % 0.46/0.90 [686]~P9(x6861,f20(x6862,x6864,x6863),f33(x6863,a1))+P9(f5(x6861,f20(x6862,f3(f33(x6863,a1)),x6863),f33(x6863,a1)),x6864,f33(x6863,a1))+~P27(f19(x6862,x6861,x6863)) % 0.46/0.90 [696]P9(x6961,f20(x6962,x6963,x6964),f33(x6964,a1))+~P9(f5(x6961,f20(x6962,f3(f33(x6964,a1)),x6964),f33(x6964,a1)),x6963,f33(x6964,a1))+~P27(f19(x6962,x6961,x6964)) % 0.46/0.90 [709]~P12(x7094)+P9(x7091,x7092,f33(x7093,x7094))+~P9(f18(x7091,f10(x7091,x7092,x7093,x7094)),f18(x7092,f10(x7091,x7092,x7093,x7094)),x7094) % 0.46/0.90 [710]~P12(x7104)+P9(x7101,x7102,f33(x7103,x7104))+~P9(f18(x7101,f11(x7101,x7102,x7103,x7104)),f18(x7102,f11(x7101,x7102,x7103,x7104)),x7104) % 0.46/0.90 [452]~P17(x4521)+~P9(x4523,x4524,x4521)+P9(f18(f18(f16(x4521),x4522),x4523),x4524,x4521) % 0.46/0.90 [453]~P17(x4531)+~P9(x4532,x4534,x4531)+P9(f18(f18(f16(x4531),x4532),x4533),x4534,x4531) % 0.46/0.90 [454]~P17(x4541)+~P8(x4543,x4544,x4541)+P8(f18(f18(f16(x4541),x4542),x4543),x4544,x4541) % 0.46/0.90 [455]~P17(x4551)+~P8(x4552,x4554,x4551)+P8(f18(f18(f16(x4551),x4552),x4553),x4554,x4551) % 0.46/0.90 [491]~P17(x4913)+P9(x4911,x4912,x4913)+~P9(x4911,f18(f18(f16(x4913),x4914),x4912),x4913) % 0.46/0.90 [493]~P17(x4933)+P9(x4931,x4932,x4933)+~P9(x4931,f18(f18(f16(x4933),x4932),x4934),x4933) % 0.46/0.90 [624]P27(f18(x6241,x6242))+P27(f18(x6243,x6242))+~P27(f18(f4(x6241,x6243,f33(x6244,a1)),x6242)) % 0.46/0.90 [654]~P27(f19(x6541,x6544,x6543))+P27(f19(x6541,x6542,x6543))+P27(f19(x6541,f5(x6544,x6542,f33(x6543,a1)),x6543)) % 0.46/0.90 [672]P27(f19(x6721,x6722,x6723))+P27(f19(x6721,x6724,x6723))+~P27(f19(x6721,f4(x6722,x6724,f33(x6723,a1)),x6723)) % 0.46/0.90 [638]~P9(x6381,x6383,f33(x6382,a1))+~P9(x6381,x6384,f33(x6382,a1))+P9(x6381,f18(f18(f16(f33(x6382,a1)),x6383),x6384),f33(x6382,a1)) % 0.46/0.90 [640]~P27(f19(x6404,x6403,x6401))+~P27(f19(x6404,x6402,x6401))+~E(f18(f18(f16(f33(x6401,a1)),x6402),x6403),f3(f33(x6401,a1))) % 0.46/0.90 [652]~P27(f18(x6523,x6524))+~P27(f18(x6522,x6524))+P27(f18(f18(f18(f16(f33(x6521,a1)),x6522),x6523),x6524)) % 0.46/0.90 [675]~P27(f18(x6754,x6751))+~P27(f19(x6751,x6753,x6752))+P27(f19(x6751,f18(f18(f16(f33(x6752,a1)),x6753),x6754),x6752)) % 0.46/0.90 [680]~P27(f19(x6801,x6804,x6802))+~P27(f19(x6801,x6803,x6802))+P27(f19(x6801,f18(f18(f16(f33(x6802,a1)),x6803),x6804),x6802)) % 0.46/0.90 [449]~P12(x4494)+P9(f18(x4491,x4492),f18(x4493,x4492),x4494)+~P9(x4491,x4493,f33(x4495,x4494)) % 0.46/0.90 [545]~P18(x5453)+P9(x5451,x5452,x5453)+P9(f27(x5451,x5452,x5453),f27(x5454,x5455,x5453),f33(x5453,a1)) % 0.46/0.90 [601]~P18(x6013)+P9(x6011,x6012,x6013)+~P8(f27(x6014,x6015,x6013),f27(x6011,x6012,x6013),f33(x6013,a1)) % 0.46/0.90 [656]~P3(x6565)+P9(f18(x6561,x6562),f7(x6563,x6561,x6564,x6565),x6565)+~P27(f19(x6562,x6563,x6564)) % 0.46/0.90 [642]~P9(x6421,x6424,f33(x6423,a1))+~P9(x6422,x6425,f33(x6423,a1))+P9(f4(x6421,x6422,f33(x6423,a1)),f4(x6424,x6425,f33(x6423,a1)),f33(x6423,a1)) % 0.46/0.90 [643]~P9(x6431,x6434,f33(x6433,a1))+~P9(x6435,x6432,f33(x6433,a1))+P9(f5(x6431,x6432,f33(x6433,a1)),f5(x6434,x6435,f33(x6433,a1)),f33(x6433,a1)) % 0.46/0.90 [651]~P27(f19(x6512,x6514,x6515))+E(f18(x6511,x6512),f3(f33(x6513,a1)))+~E(f7(x6514,x6511,x6515,f33(x6513,a1)),f3(f33(x6513,a1))) % 0.46/0.90 [713]~P7(x7134,x7131,x7132,x7135,x7133,x7133)+P27(f19(x7131,x7132,x7133))+P27(f18(f6(x7134,f20(x7131,x7132,x7133),x7133),x7135)) % 0.46/0.90 [666]E(x6661,x6662)+E(x6661,x6663)+~E(f20(x6664,f20(x6661,f3(f33(x6665,a1)),x6665),x6665),f20(x6663,f20(x6662,f3(f33(x6665,a1)),x6665),x6665)) % 0.46/0.90 [667]E(x6671,x6672)+E(x6673,x6672)+~E(f20(x6673,f20(x6671,f3(f33(x6674,a1)),x6674),x6674),f20(x6675,f20(x6672,f3(f33(x6674,a1)),x6674),x6674)) % 0.46/0.90 [668]E(x6681,x6682)+E(x6683,x6682)+~E(f20(x6683,f20(x6681,f3(f33(x6684,a1)),x6684),x6684),f20(x6682,f20(x6685,f3(f33(x6684,a1)),x6684),x6684)) % 0.46/0.90 [669]E(x6691,x6692)+E(x6691,x6693)+~E(f20(x6691,f20(x6694,f3(f33(x6695,a1)),x6695),x6695),f20(x6693,f20(x6692,f3(f33(x6695,a1)),x6695),x6695)) % 0.46/0.90 [673]~P9(x6732,x6734,f33(x6731,a1))+~P9(x6733,x6735,f33(x6731,a1))+P9(f18(f18(f16(f33(x6731,a1)),x6732),x6733),f18(f18(f16(f33(x6731,a1)),x6734),x6735),f33(x6731,a1)) % 0.46/0.90 [693]P9(f18(x6931,x6932),x6933,f33(x6934,a1))+~P9(f7(x6935,x6931,x6936,f33(x6934,a1)),x6933,f33(x6934,a1))+~P27(f19(x6932,x6935,x6936)) % 0.46/0.90 [698]~P27(f19(x6986,x6981,x6983))+~P27(f18(f18(x6982,x6986),x6985))+P27(f18(f7(x6981,x6982,x6983,f33(x6984,a1)),x6985)) % 0.46/0.90 [707]~P27(f19(x7076,x7072,x7074))+~P27(f19(x7071,f18(x7073,x7076),x7075))+P27(f19(x7071,f7(x7072,x7073,x7074,f33(x7075,a1)),x7075)) % 0.46/0.90 [714]~P7(x7144,x7145,x7142,x7146,x7143,x7147)+P7(x7144,x7145,f20(x7141,x7142,x7143),f18(f18(x7144,x7141),x7146),x7143,x7147)+P27(f19(x7141,x7142,x7143)) % 0.46/0.90 [715]P7(x7151,x7152,x7153,f18(f18(x7151,x7154),x7155),x7156,x7157)+~P7(x7151,x7152,f5(x7153,f20(x7154,f3(f33(x7156,a1)),x7156),f33(x7156,a1)),x7155,x7156,x7157)+~P27(f19(x7154,x7153,x7156)) % 0.46/0.90 [716]P10(x7161,x7162,x7163,f18(f18(x7161,x7164),x7165),x7166,x7167)+~P10(x7161,x7162,f5(x7163,f20(x7164,f3(f33(x7166,a1)),x7166),f33(x7166,a1)),x7165,x7166,x7167)+~P27(f19(x7164,x7163,x7166)) % 0.46/0.90 [723]~P6(x7236,x7233,x7231,x7237,x7238,x7239,x72310,x72311,x7235)+~P27(f19(x7232,x7234,x7235))+P27(f18(f18(x7231,x7232),f18(x7233,x7234))) % 0.46/0.90 [724]~P6(x7242,x7246,x7241,x7247,x7248,x7249,x72410,x72411,x7245)+~P27(f19(x7244,x7243,x7245))+P27(f18(f18(x7241,f18(x7242,x7243)),x7244)) % 0.46/0.90 [415]~P19(x4152)+~P5(x4151,x4152)+E(x4151,f3(f33(x4152,a1)))+P27(f19(f12(x4151,x4152),x4151,x4152)) % 0.46/0.90 [416]~P19(x4162)+~P5(x4161,x4162)+E(x4161,f3(f33(x4162,a1)))+P27(f19(f13(x4161,x4162),x4161,x4162)) % 0.46/0.90 [321]P8(x3211,x3212,x3213)+~P19(x3213)+E(x3211,x3212)+P8(x3212,x3211,x3213) % 0.46/0.90 [322]P8(x3221,x3222,x3223)+~P28(x3223)+E(x3221,x3222)+P8(x3222,x3221,x3223) % 0.46/0.90 [345]~P18(x3453)+~P9(x3451,x3452,x3453)+E(x3451,x3452)+P8(x3451,x3452,x3453) % 0.46/0.90 [347]~P19(x3473)+~P9(x3471,x3472,x3473)+E(x3471,x3472)+P8(x3471,x3472,x3473) % 0.46/0.90 [379]~P9(x3792,x3791,x3793)+~P9(x3791,x3792,x3793)+E(x3791,x3792)+~P18(x3793) % 0.46/0.90 [395]P8(x3952,x3951,x3953)+~P26(x3953)+~P9(x3952,x3951,x3953)+P9(x3951,x3952,x3953) % 0.46/0.90 [482]~P19(x4823)+~P5(x4822,x4823)+P9(x4821,f12(x4822,x4823),x4823)+~P27(f19(x4821,x4822,x4823)) % 0.46/0.90 [483]~P19(x4832)+~P5(x4831,x4832)+P9(f13(x4831,x4832),x4833,x4832)+~P27(f19(x4833,x4831,x4832)) % 0.46/0.90 [602]~P17(x6021)+~P5(x6022,x6021)+~P27(f19(x6023,x6022,x6021))+P9(f30(f6(f16(x6021),x6022,x6021),x6021),x6023,x6021) % 0.46/0.90 [440]~P18(x4403)+~P9(x4401,x4404,x4403)+P9(x4401,x4402,x4403)+~P9(x4404,x4402,x4403) % 0.46/0.90 [441]~P26(x4413)+~P9(x4411,x4414,x4413)+P9(x4411,x4412,x4413)+~P9(x4414,x4412,x4413) % 0.46/0.90 [442]~P18(x4423)+~P8(x4421,x4424,x4423)+P8(x4421,x4422,x4423)+~P9(x4424,x4422,x4423) % 0.46/0.90 [443]~P18(x4433)+~P8(x4434,x4432,x4433)+P8(x4431,x4432,x4433)+~P9(x4431,x4434,x4433) % 0.46/0.90 [444]~P18(x4443)+~P8(x4441,x4444,x4443)+P8(x4441,x4442,x4443)+~P8(x4444,x4442,x4443) % 0.46/0.90 [445]~P26(x4453)+~P8(x4451,x4454,x4453)+P8(x4451,x4452,x4453)+~P9(x4454,x4452,x4453) % 0.46/0.90 [446]~P26(x4463)+~P8(x4464,x4462,x4463)+P8(x4461,x4462,x4463)+~P9(x4461,x4464,x4463) % 0.46/0.90 [447]~P26(x4473)+~P8(x4471,x4474,x4473)+P8(x4471,x4472,x4473)+~P8(x4474,x4472,x4473) % 0.46/0.90 [487]~P12(x4874)+P9(x4871,x4872,f33(x4873,x4874))+P8(x4872,x4871,f33(x4873,x4874))+~P9(x4872,x4871,f33(x4873,x4874)) % 0.46/0.90 [540]~P20(x5403)+~P9(x5402,x5404,x5403)+~P9(x5401,x5404,x5403)+P9(f4(x5401,x5402,x5403),x5404,x5403) % 0.46/0.90 [552]E(x5521,x5522)+~E(f20(x5523,x5521,x5524),f20(x5523,x5522,x5524))+P27(f19(x5523,x5521,x5524))+P27(f19(x5523,x5522,x5524)) % 0.46/0.90 [611]~P9(x6114,x6112,f33(x6113,a1))+P8(x6114,f20(x6111,x6112,x6113),f33(x6113,a1))+P27(f19(x6111,x6112,x6113))+P27(f19(x6111,x6114,x6113)) % 0.46/0.90 [615]~P8(x6152,x6154,f33(x6153,a1))+~P9(x6152,x6154,f33(x6153,a1))+P8(x6152,f20(x6151,x6154,x6153),f33(x6153,a1))+P27(f19(x6151,x6152,x6153)) % 0.46/0.90 [626]~P8(x6264,f20(x6261,x6262,x6263),f33(x6263,a1))+P9(x6264,x6262,f33(x6263,a1))+P27(f19(x6261,x6262,x6263))+P27(f19(x6261,x6264,x6263)) % 0.46/0.90 [603]~P19(x6033)+~P9(x6032,x6034,x6033)+~P9(x6031,x6032,x6033)+E(f4(f26(x6031,x6032,x6033),f26(x6032,x6034,x6033),f33(x6033,a1)),f26(x6031,x6034,x6033)) % 0.46/0.90 [604]~P19(x6043)+~P9(x6042,x6044,x6043)+~P9(x6041,x6042,x6043)+E(f4(f26(x6041,x6042,x6043),f27(x6042,x6044,x6043),f33(x6043,a1)),f27(x6041,x6044,x6043)) % 0.46/0.90 [605]~P19(x6053)+~P9(x6052,x6054,x6053)+~P9(x6051,x6052,x6053)+E(f4(f28(x6051,x6052,x6053),f28(x6052,x6054,x6053),f33(x6053,a1)),f28(x6051,x6054,x6053)) % 0.46/0.90 [606]~P19(x6063)+~P9(x6061,x6062,x6063)+~P8(x6062,x6064,x6063)+E(f4(f28(x6061,x6062,x6063),f29(x6062,x6064,x6063),f33(x6063,a1)),f29(x6061,x6064,x6063)) % 0.46/0.90 [607]~P19(x6073)+~P9(x6072,x6074,x6073)+~P9(x6071,x6072,x6073)+E(f4(f27(x6071,x6072,x6073),f28(x6072,x6074,x6073),f33(x6073,a1)),f27(x6071,x6074,x6073)) % 0.46/0.90 [608]~P19(x6083)+~P9(x6081,x6082,x6083)+~P8(x6082,x6084,x6083)+E(f4(f27(x6081,x6082,x6083),f29(x6082,x6084,x6083),f33(x6083,a1)),f26(x6081,x6084,x6083)) % 0.46/0.90 [609]~P19(x6093)+~P9(x6092,x6094,x6093)+~P8(x6091,x6092,x6093)+E(f4(f29(x6091,x6092,x6093),f26(x6092,x6094,x6093),f33(x6093,a1)),f29(x6091,x6094,x6093)) % 0.46/0.90 [610]~P19(x6103)+~P9(x6102,x6104,x6103)+~P8(x6101,x6102,x6103)+E(f4(f29(x6101,x6102,x6103),f27(x6102,x6104,x6103),f33(x6103,a1)),f28(x6101,x6104,x6103)) % 0.46/0.90 [692]~P8(x6924,f20(x6921,x6922,x6923),f33(x6923,a1))+P8(f5(x6924,f20(x6921,f3(f33(x6923,a1)),x6923),f33(x6923,a1)),x6922,f33(x6923,a1))+~P27(f19(x6921,x6924,x6923))+P27(f19(x6921,x6922,x6923)) % 0.46/0.90 [699]~P9(x6994,x6992,f33(x6993,a1))+P8(x6994,f20(x6991,x6992,x6993),f33(x6993,a1))+~P8(f5(x6994,f20(x6991,f3(f33(x6993,a1)),x6993),f33(x6993,a1)),x6992,f33(x6993,a1))+P27(f19(x6991,x6992,x6993)) % 0.46/0.90 [700]~P8(x7001,x7003,f33(x7004,a1))+~P9(x7001,x7003,f33(x7004,a1))+P8(x7001,f20(x7002,x7003,x7004),f33(x7004,a1))+~P8(f5(x7001,f20(x7002,f3(f33(x7004,a1)),x7004),f33(x7004,a1)),x7003,f33(x7004,a1)) % 0.46/0.90 [701]P8(x7014,f20(x7011,x7012,x7013),f33(x7013,a1))+~P8(f5(x7014,f20(x7011,f3(f33(x7013,a1)),x7013),f33(x7013,a1)),x7012,f33(x7013,a1))+~P27(f19(x7011,x7014,x7013))+P27(f19(x7011,x7012,x7013)) % 0.46/0.90 [702]~P8(x7021,x7023,f33(x7024,a1))+P8(x7021,f20(x7022,x7023,x7024),f33(x7024,a1))+~P8(f5(x7021,f20(x7022,f3(f33(x7024,a1)),x7024),f33(x7024,a1)),x7023,f33(x7024,a1))+~P27(f19(x7022,x7021,x7024)) % 0.46/0.90 [537]~P17(x5372)+~P9(x5371,x5374,x5372)+~P9(x5371,x5373,x5372)+P9(x5371,f18(f18(f16(x5372),x5373),x5374),x5372) % 0.46/0.90 [512]~P24(x5123)+~P9(x5125,x5124,x5123)+P9(x5121,x5122,x5123)+~E(f5(x5124,x5125,x5123),f5(x5122,x5121,x5123)) % 0.46/0.90 [513]~P24(x5133)+~P9(x5135,x5134,x5133)+P9(x5131,x5132,x5133)+~E(f5(x5132,x5131,x5133),f5(x5134,x5135,x5133)) % 0.46/0.90 [514]~P24(x5143)+~P8(x5144,x5145,x5143)+P8(x5141,x5142,x5143)+~E(f5(x5144,x5145,x5143),f5(x5141,x5142,x5143)) % 0.46/0.90 [515]~P24(x5153)+~P8(x5154,x5155,x5153)+P8(x5151,x5152,x5153)+~E(f5(x5151,x5152,x5153),f5(x5154,x5155,x5153)) % 0.46/0.90 [579]~P18(x5793)+~P9(x5794,x5795,x5793)+P9(x5791,x5792,x5793)+P8(f27(x5791,x5792,x5793),f27(x5794,x5795,x5793),f33(x5793,a1)) % 0.46/0.90 [580]~P18(x5803)+~P9(x5804,x5801,x5803)+~P9(x5802,x5805,x5803)+P9(f27(x5801,x5802,x5803),f27(x5804,x5805,x5803),f33(x5803,a1)) % 0.46/0.90 [621]~P19(x6213)+P9(x6211,x6212,x6213)+P9(x6214,x6212,x6213)+~P9(f26(x6212,x6211,x6213),f26(x6214,x6215,x6213),f33(x6213,a1)) % 0.46/0.90 [622]~P19(x6223)+P9(x6221,x6222,x6223)+P9(x6221,x6224,x6223)+~P9(f26(x6222,x6221,x6223),f26(x6225,x6224,x6223),f33(x6223,a1)) % 0.46/0.90 [633]~P18(x6333)+P9(x6331,x6332,x6333)+~P9(x6334,x6331,x6333)+~P9(f27(x6334,x6331,x6333),f27(x6335,x6332,x6333),f33(x6333,a1)) % 0.46/0.90 [634]~P18(x6343)+P9(x6341,x6342,x6343)+~P9(x6344,x6341,x6343)+~P8(f27(x6344,x6341,x6343),f27(x6345,x6342,x6343),f33(x6343,a1)) % 0.46/0.90 [635]~P18(x6353)+P9(x6351,x6352,x6353)+~P9(x6352,x6354,x6353)+~P9(f27(x6352,x6354,x6353),f27(x6351,x6355,x6353),f33(x6353,a1)) % 0.46/0.90 [636]~P18(x6363)+P9(x6361,x6362,x6363)+~P9(x6362,x6364,x6363)+~P8(f27(x6362,x6364,x6363),f27(x6361,x6365,x6363),f33(x6363,a1)) % 0.46/0.90 [683]~P5(x6834,x6835)+P5(f18(x6831,x6832),x6833)+~P27(f19(x6832,x6834,x6835))+~P5(f7(x6834,x6831,x6835,f33(x6833,a1)),x6833) % 0.46/0.90 [691]~P23(x6915)+~P5(x6912,x6914)+P27(f19(x6913,x6912,x6914))+E(f14(x6911,f5(x6912,f20(x6913,f3(f33(x6914,a1)),x6914),f33(x6914,a1)),x6914,x6915),f14(x6911,x6912,x6914,x6915)) % 0.46/0.90 [703]~P23(x7034)+~P5(x7032,x7033)+~P9(x7035,x7032,f33(x7033,a1))+E(f5(f14(x7031,x7032,x7033,x7034),f14(x7031,x7035,x7033,x7034),x7034),f14(x7031,f5(x7032,x7035,f33(x7033,a1)),x7033,x7034)) % 0.46/0.90 [704]~P23(x7045)+~P5(x7042,x7044)+~P27(f19(x7043,x7042,x7044))+E(f14(x7041,f5(x7042,f20(x7043,f3(f33(x7044,a1)),x7044),f33(x7044,a1)),x7044,x7045),f5(f14(x7041,x7042,x7044,x7045),f18(x7041,x7043),x7045)) % 0.46/0.90 [705]~P29(x7055)+~P5(x7052,x7054)+~P27(f19(x7053,x7052,x7054))+E(f14(x7051,f5(x7052,f20(x7053,f3(f33(x7054,a1)),x7054),f33(x7054,a1)),x7054,x7055),f5(f14(x7051,x7052,x7054,x7055),f18(x7051,x7053),x7055)) % 0.46/0.90 [484]~P19(x4842)+~P5(x4843,x4842)+P9(f13(x4843,x4842),f13(x4841,x4842),x4842)+~P9(x4841,x4843,f33(x4842,a1))+E(x4841,f3(f33(x4842,a1))) % 0.46/0.90 [485]~P19(x4852)+~P5(x4853,x4852)+P9(f12(x4851,x4852),f12(x4853,x4852),x4852)+~P9(x4851,x4853,f33(x4852,a1))+E(x4851,f3(f33(x4852,a1))) % 0.46/0.90 [649]~P18(x6493)+~P9(x6492,x6494,x6493)+P8(x6491,x6492,x6493)+P8(x6494,x6495,x6493)+~P8(f27(x6492,x6494,x6493),f27(x6491,x6495,x6493),f33(x6493,a1)) % 0.46/0.90 [662]~P17(x6622)+~P5(x6621,x6622)+P9(x6623,x6624,x6622)+~P27(f19(x6624,x6621,x6622))+~P9(x6623,f30(f6(f16(x6622),x6621,x6622),x6622),x6622)+E(x6621,f3(f33(x6622,a1))) % 0.46/0.90 [645]~P18(x6453)+~P9(x6454,x6455,x6453)+~P9(x6454,x6451,x6453)+~P9(x6452,x6455,x6453)+~P8(x6454,x6451,x6453)+P8(f27(x6451,x6452,x6453),f27(x6454,x6455,x6453),f33(x6453,a1)) % 0.46/0.90 [646]~P18(x6463)+~P9(x6464,x6465,x6463)+~P9(x6464,x6461,x6463)+~P9(x6462,x6465,x6463)+~P8(x6462,x6465,x6463)+P8(f27(x6461,x6462,x6463),f27(x6464,x6465,x6463),f33(x6463,a1)) % 0.46/0.90 %EqnAxiom % 0.46/0.90 [1]E(x11,x11) % 0.46/0.90 [2]E(x22,x21)+~E(x21,x22) % 0.46/0.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.46/0.90 [4]~E(x41,x42)+E(f33(x41,x43),f33(x42,x43)) % 0.46/0.90 [5]~E(x51,x52)+E(f33(x53,x51),f33(x53,x52)) % 0.46/0.90 [6]~E(x61,x62)+E(f3(x61),f3(x62)) % 0.46/0.90 [7]~E(x71,x72)+E(f18(x71,x73),f18(x72,x73)) % 0.46/0.90 [8]~E(x81,x82)+E(f18(x83,x81),f18(x83,x82)) % 0.46/0.90 [9]~E(x91,x92)+E(f27(x91,x93,x94),f27(x92,x93,x94)) % 0.46/0.90 [10]~E(x101,x102)+E(f27(x103,x101,x104),f27(x103,x102,x104)) % 0.46/0.90 [11]~E(x111,x112)+E(f27(x113,x114,x111),f27(x113,x114,x112)) % 0.46/0.90 [12]~E(x121,x122)+E(f4(x121,x123,x124),f4(x122,x123,x124)) % 0.46/0.90 [13]~E(x131,x132)+E(f4(x133,x131,x134),f4(x133,x132,x134)) % 0.46/0.90 [14]~E(x141,x142)+E(f4(x143,x144,x141),f4(x143,x144,x142)) % 0.46/0.90 [15]~E(x151,x152)+E(f15(x151,x153),f15(x152,x153)) % 0.46/0.90 [16]~E(x161,x162)+E(f15(x163,x161),f15(x163,x162)) % 0.46/0.90 [17]~E(x171,x172)+E(f31(x171),f31(x172)) % 0.46/0.90 [18]~E(x181,x182)+E(f20(x181,x183,x184),f20(x182,x183,x184)) % 0.46/0.90 [19]~E(x191,x192)+E(f20(x193,x191,x194),f20(x193,x192,x194)) % 0.46/0.90 [20]~E(x201,x202)+E(f20(x203,x204,x201),f20(x203,x204,x202)) % 0.46/0.90 [21]~E(x211,x212)+E(f16(x211),f16(x212)) % 0.46/0.90 [22]~E(x221,x222)+E(f5(x221,x223,x224),f5(x222,x223,x224)) % 0.46/0.90 [23]~E(x231,x232)+E(f5(x233,x231,x234),f5(x233,x232,x234)) % 0.46/0.90 [24]~E(x241,x242)+E(f5(x243,x244,x241),f5(x243,x244,x242)) % 0.46/0.90 [25]~E(x251,x252)+E(f26(x251,x253,x254),f26(x252,x253,x254)) % 0.46/0.90 [26]~E(x261,x262)+E(f26(x263,x261,x264),f26(x263,x262,x264)) % 0.46/0.90 [27]~E(x271,x272)+E(f26(x273,x274,x271),f26(x273,x274,x272)) % 0.46/0.90 [28]~E(x281,x282)+E(f28(x281,x283,x284),f28(x282,x283,x284)) % 0.46/0.90 [29]~E(x291,x292)+E(f28(x293,x291,x294),f28(x293,x292,x294)) % 0.46/0.90 [30]~E(x301,x302)+E(f28(x303,x304,x301),f28(x303,x304,x302)) % 0.46/0.90 [31]~E(x311,x312)+E(f23(x311,x313),f23(x312,x313)) % 0.46/0.90 [32]~E(x321,x322)+E(f23(x323,x321),f23(x323,x322)) % 0.46/0.90 [33]~E(x331,x332)+E(f19(x331,x333,x334),f19(x332,x333,x334)) % 0.46/0.90 [34]~E(x341,x342)+E(f19(x343,x341,x344),f19(x343,x342,x344)) % 0.46/0.90 [35]~E(x351,x352)+E(f19(x353,x354,x351),f19(x353,x354,x352)) % 0.46/0.90 [36]~E(x361,x362)+E(f22(x361,x363),f22(x362,x363)) % 0.46/0.90 [37]~E(x371,x372)+E(f22(x373,x371),f22(x373,x372)) % 0.46/0.90 [38]~E(x381,x382)+E(f7(x381,x383,x384,x385),f7(x382,x383,x384,x385)) % 0.46/0.90 [39]~E(x391,x392)+E(f7(x393,x391,x394,x395),f7(x393,x392,x394,x395)) % 0.46/0.90 [40]~E(x401,x402)+E(f7(x403,x404,x401,x405),f7(x403,x404,x402,x405)) % 0.46/0.90 [41]~E(x411,x412)+E(f7(x413,x414,x415,x411),f7(x413,x414,x415,x412)) % 0.46/0.90 [42]~E(x421,x422)+E(f25(x421,x423),f25(x422,x423)) % 0.46/0.90 [43]~E(x431,x432)+E(f25(x433,x431),f25(x433,x432)) % 0.46/0.90 [44]~E(x441,x442)+E(f11(x441,x443,x444,x445),f11(x442,x443,x444,x445)) % 0.46/0.90 [45]~E(x451,x452)+E(f11(x453,x451,x454,x455),f11(x453,x452,x454,x455)) % 0.46/0.90 [46]~E(x461,x462)+E(f11(x463,x464,x461,x465),f11(x463,x464,x462,x465)) % 0.46/0.90 [47]~E(x471,x472)+E(f11(x473,x474,x475,x471),f11(x473,x474,x475,x472)) % 0.46/0.90 [48]~E(x481,x482)+E(f9(x481,x483),f9(x482,x483)) % 0.46/0.90 [49]~E(x491,x492)+E(f9(x493,x491),f9(x493,x492)) % 0.46/0.90 [50]~E(x501,x502)+E(f30(x501,x503),f30(x502,x503)) % 0.46/0.90 [51]~E(x511,x512)+E(f30(x513,x511),f30(x513,x512)) % 0.46/0.90 [52]~E(x521,x522)+E(f14(x521,x523,x524,x525),f14(x522,x523,x524,x525)) % 0.46/0.90 [53]~E(x531,x532)+E(f14(x533,x531,x534,x535),f14(x533,x532,x534,x535)) % 0.46/0.90 [54]~E(x541,x542)+E(f14(x543,x544,x541,x545),f14(x543,x544,x542,x545)) % 0.46/0.90 [55]~E(x551,x552)+E(f14(x553,x554,x555,x551),f14(x553,x554,x555,x552)) % 0.46/0.90 [56]~E(x561,x562)+E(f29(x561,x563,x564),f29(x562,x563,x564)) % 0.46/0.90 [57]~E(x571,x572)+E(f29(x573,x571,x574),f29(x573,x572,x574)) % 0.46/0.90 [58]~E(x581,x582)+E(f29(x583,x584,x581),f29(x583,x584,x582)) % 0.46/0.90 [59]~E(x591,x592)+E(f24(x591,x593),f24(x592,x593)) % 0.46/0.90 [60]~E(x601,x602)+E(f24(x603,x601),f24(x603,x602)) % 0.46/0.90 [61]~E(x611,x612)+E(f13(x611,x613),f13(x612,x613)) % 0.46/0.90 [62]~E(x621,x622)+E(f13(x623,x621),f13(x623,x622)) % 0.46/0.90 [63]~E(x631,x632)+E(f6(x631,x633,x634),f6(x632,x633,x634)) % 0.46/0.90 [64]~E(x641,x642)+E(f6(x643,x641,x644),f6(x643,x642,x644)) % 0.46/0.90 [65]~E(x651,x652)+E(f6(x653,x654,x651),f6(x653,x654,x652)) % 0.46/0.90 [66]~E(x661,x662)+E(f12(x661,x663),f12(x662,x663)) % 0.46/0.90 [67]~E(x671,x672)+E(f12(x673,x671),f12(x673,x672)) % 0.46/0.90 [68]~E(x681,x682)+E(f8(x681,x683),f8(x682,x683)) % 0.46/0.90 [69]~E(x691,x692)+E(f8(x693,x691),f8(x693,x692)) % 0.46/0.90 [70]~E(x701,x702)+E(f10(x701,x703,x704,x705),f10(x702,x703,x704,x705)) % 0.46/0.90 [71]~E(x711,x712)+E(f10(x713,x711,x714,x715),f10(x713,x712,x714,x715)) % 0.46/0.90 [72]~E(x721,x722)+E(f10(x723,x724,x721,x725),f10(x723,x724,x722,x725)) % 0.46/0.90 [73]~E(x731,x732)+E(f10(x733,x734,x735,x731),f10(x733,x734,x735,x732)) % 0.46/0.90 [74]~E(x741,x742)+E(f17(x741,x743),f17(x742,x743)) % 0.46/0.90 [75]~E(x751,x752)+E(f17(x753,x751),f17(x753,x752)) % 0.46/0.90 [76]~E(x761,x762)+E(f21(x761,x763),f21(x762,x763)) % 0.46/0.90 [77]~E(x771,x772)+E(f21(x773,x771),f21(x773,x772)) % 0.46/0.90 [78]~P1(x781)+P1(x782)+~E(x781,x782) % 0.46/0.90 [79]P6(x792,x793,x794,x795,x796,x797,x798,x799,x7910)+~E(x791,x792)+~P6(x791,x793,x794,x795,x796,x797,x798,x799,x7910) % 0.46/0.90 [80]P6(x803,x802,x804,x805,x806,x807,x808,x809,x8010)+~E(x801,x802)+~P6(x803,x801,x804,x805,x806,x807,x808,x809,x8010) % 0.46/0.90 [81]P6(x813,x814,x812,x815,x816,x817,x818,x819,x8110)+~E(x811,x812)+~P6(x813,x814,x811,x815,x816,x817,x818,x819,x8110) % 0.46/0.90 [82]P6(x823,x824,x825,x822,x826,x827,x828,x829,x8210)+~E(x821,x822)+~P6(x823,x824,x825,x821,x826,x827,x828,x829,x8210) % 0.46/0.90 [83]P6(x833,x834,x835,x836,x832,x837,x838,x839,x8310)+~E(x831,x832)+~P6(x833,x834,x835,x836,x831,x837,x838,x839,x8310) % 0.46/0.90 [84]P6(x843,x844,x845,x846,x847,x842,x848,x849,x8410)+~E(x841,x842)+~P6(x843,x844,x845,x846,x847,x841,x848,x849,x8410) % 0.46/0.90 [85]P6(x853,x854,x855,x856,x857,x858,x852,x859,x8510)+~E(x851,x852)+~P6(x853,x854,x855,x856,x857,x858,x851,x859,x8510) % 0.46/0.90 [86]P6(x863,x864,x865,x866,x867,x868,x869,x862,x8610)+~E(x861,x862)+~P6(x863,x864,x865,x866,x867,x868,x869,x861,x8610) % 0.46/0.90 [87]P6(x873,x874,x875,x876,x877,x878,x879,x8710,x872)+~E(x871,x872)+~P6(x873,x874,x875,x876,x877,x878,x879,x8710,x871) % 0.46/0.90 [88]~P17(x881)+P17(x882)+~E(x881,x882) % 0.46/0.90 [89]P9(x892,x893,x894)+~E(x891,x892)+~P9(x891,x893,x894) % 0.46/0.90 [90]P9(x903,x902,x904)+~E(x901,x902)+~P9(x903,x901,x904) % 0.46/0.90 [91]P9(x913,x914,x912)+~E(x911,x912)+~P9(x913,x914,x911) % 0.46/0.90 [92]~P2(x921)+P2(x922)+~E(x921,x922) % 0.46/0.90 [93]~P18(x931)+P18(x932)+~E(x931,x932) % 0.46/0.90 [94]~P27(x941)+P27(x942)+~E(x941,x942) % 0.46/0.90 [95]~P3(x951)+P3(x952)+~E(x951,x952) % 0.46/0.90 [96]~P15(x961)+P15(x962)+~E(x961,x962) % 0.46/0.90 [97]P5(x972,x973)+~E(x971,x972)+~P5(x971,x973) % 0.46/0.90 [98]P5(x983,x982)+~E(x981,x982)+~P5(x983,x981) % 0.46/0.90 [99]~P11(x991)+P11(x992)+~E(x991,x992) % 0.46/0.90 [100]~P16(x1001)+P16(x1002)+~E(x1001,x1002) % 0.46/0.90 [101]~P19(x1011)+P19(x1012)+~E(x1011,x1012) % 0.46/0.90 [102]~P12(x1021)+P12(x1022)+~E(x1021,x1022) % 0.46/0.90 [103]P8(x1032,x1033,x1034)+~E(x1031,x1032)+~P8(x1031,x1033,x1034) % 0.46/0.90 [104]P8(x1043,x1042,x1044)+~E(x1041,x1042)+~P8(x1043,x1041,x1044) % 0.46/0.90 [105]P8(x1053,x1054,x1052)+~E(x1051,x1052)+~P8(x1053,x1054,x1051) % 0.46/0.90 [106]~P26(x1061)+P26(x1062)+~E(x1061,x1062) % 0.46/0.90 [107]~P24(x1071)+P24(x1072)+~E(x1071,x1072) % 0.46/0.90 [108]~P20(x1081)+P20(x1082)+~E(x1081,x1082) % 0.46/0.90 [109]~P29(x1091)+P29(x1092)+~E(x1091,x1092) % 0.46/0.90 [110]~P13(x1101)+P13(x1102)+~E(x1101,x1102) % 0.46/0.90 [111]~P23(x1111)+P23(x1112)+~E(x1111,x1112) % 0.46/0.90 [112]~P14(x1121)+P14(x1122)+~E(x1121,x1122) % 0.46/0.90 [113]~P21(x1131)+P21(x1132)+~E(x1131,x1132) % 0.46/0.90 [114]P7(x1142,x1143,x1144,x1145,x1146,x1147)+~E(x1141,x1142)+~P7(x1141,x1143,x1144,x1145,x1146,x1147) % 0.46/0.90 [115]P7(x1153,x1152,x1154,x1155,x1156,x1157)+~E(x1151,x1152)+~P7(x1153,x1151,x1154,x1155,x1156,x1157) % 0.46/0.90 [116]P7(x1163,x1164,x1162,x1165,x1166,x1167)+~E(x1161,x1162)+~P7(x1163,x1164,x1161,x1165,x1166,x1167) % 0.46/0.90 [117]P7(x1173,x1174,x1175,x1172,x1176,x1177)+~E(x1171,x1172)+~P7(x1173,x1174,x1175,x1171,x1176,x1177) % 0.46/0.90 [118]P7(x1183,x1184,x1185,x1186,x1182,x1187)+~E(x1181,x1182)+~P7(x1183,x1184,x1185,x1186,x1181,x1187) % 0.46/0.90 [119]P7(x1193,x1194,x1195,x1196,x1197,x1192)+~E(x1191,x1192)+~P7(x1193,x1194,x1195,x1196,x1197,x1191) % 0.46/0.90 [120]P4(x1202,x1203,x1204)+~E(x1201,x1202)+~P4(x1201,x1203,x1204) % 0.46/0.90 [121]P4(x1213,x1212,x1214)+~E(x1211,x1212)+~P4(x1213,x1211,x1214) % 0.46/0.90 [122]P4(x1223,x1224,x1222)+~E(x1221,x1222)+~P4(x1223,x1224,x1221) % 0.46/0.90 [123]P10(x1232,x1233,x1234,x1235,x1236,x1237)+~E(x1231,x1232)+~P10(x1231,x1233,x1234,x1235,x1236,x1237) % 0.46/0.90 [124]P10(x1243,x1242,x1244,x1245,x1246,x1247)+~E(x1241,x1242)+~P10(x1243,x1241,x1244,x1245,x1246,x1247) % 0.46/0.90 [125]P10(x1253,x1254,x1252,x1255,x1256,x1257)+~E(x1251,x1252)+~P10(x1253,x1254,x1251,x1255,x1256,x1257) % 0.46/0.90 [126]P10(x1263,x1264,x1265,x1262,x1266,x1267)+~E(x1261,x1262)+~P10(x1263,x1264,x1265,x1261,x1266,x1267) % 0.46/0.90 [127]P10(x1273,x1274,x1275,x1276,x1272,x1277)+~E(x1271,x1272)+~P10(x1273,x1274,x1275,x1276,x1271,x1277) % 0.46/0.90 [128]P10(x1283,x1284,x1285,x1286,x1287,x1282)+~E(x1281,x1282)+~P10(x1283,x1284,x1285,x1286,x1287,x1281) % 0.46/0.90 [129]~P25(x1291)+P25(x1292)+~E(x1291,x1292) % 0.46/0.90 [130]~P28(x1301)+P28(x1302)+~E(x1301,x1302) % 0.46/0.90 [131]~P22(x1311)+P22(x1312)+~E(x1311,x1312) % 0.46/0.90 % 0.46/0.90 %------------------------------------------- % 0.46/0.91 cnf(769,plain, % 0.46/0.91 (P9(x7691,f20(x7692,x7691,x7693),f33(x7693,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(776,plain, % 0.46/0.91 (P9(x7761,f20(x7762,x7761,x7763),f33(x7763,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(779,plain, % 0.46/0.91 (P9(x7791,f20(x7792,x7791,x7793),f33(x7793,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(782,plain, % 0.46/0.91 (P9(x7821,f20(x7822,x7821,x7823),f33(x7823,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(788,plain, % 0.46/0.91 (P9(f5(x7881,x7882,f33(x7883,a1)),x7881,f33(x7883,a1))), % 0.46/0.91 inference(rename_variables,[],[184])). % 0.46/0.91 cnf(791,plain, % 0.46/0.91 (P9(f5(x7911,x7912,f33(x7913,a1)),x7911,f33(x7913,a1))), % 0.46/0.91 inference(rename_variables,[],[184])). % 0.46/0.91 cnf(817,plain, % 0.46/0.91 (P9(f5(x8171,x8172,f33(x8173,a1)),x8171,f33(x8173,a1))), % 0.46/0.91 inference(rename_variables,[],[184])). % 0.46/0.91 cnf(823,plain, % 0.46/0.91 (P9(x8231,f20(x8232,x8231,x8233),f33(x8233,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(832,plain, % 0.46/0.91 (P9(x8321,f20(x8322,x8321,x8323),f33(x8323,a1))), % 0.46/0.91 inference(rename_variables,[],[175])). % 0.46/0.91 cnf(840,plain, % 0.46/0.91 ($false), % 0.46/0.91 inference(scs_inference,[],[157,190,162,253,175,769,776,779,782,823,832,160,184,788,791,817,165,177,213,224,226,200,137,142,144,145,158,249,250,203,186,252,243,384,489,560,300,382,392,435,469,543,547,566,572,577,578,629,630,647,648,655,664,2,258,301,302,303,349,398,549,550,553,351,389,394,451,466,480,516,517,660]), % 0.46/0.91 ['proof']). % 0.46/0.91 % SZS output end Proof % 0.46/0.91 % Total time :0.080000s %------------------------------------------------------------------------------