%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV834-1 : 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 : n019.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 2.46s 2.54s % Output : CNFRefutation 2.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV834-1 : TPTP v8.2.0. Released v4.1.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 16:33:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.47/0.58 start to proof:theBenchmark % 2.42/2.49 %------------------------------------------- % 2.42/2.49 % File :CSE---1.7 % 2.42/2.49 % Problem :theBenchmark % 2.42/2.49 % Transform :cnf % 2.42/2.49 % Format :tptp:raw % 2.42/2.49 % Command :java -jar mcs_scs.jar %d %s % 2.42/2.49 % 2.42/2.49 % Result :Theorem 1.640000s % 2.42/2.49 % Output :CNFRefutation 1.640000s % 2.42/2.49 %------------------------------------------- % 2.42/2.49 %------------------------------------------------------------------------------ % 2.42/2.49 % File : SWV834-1 : TPTP v8.2.0. Released v4.1.0. % 2.42/2.49 % Domain : Software Verification % 2.42/2.49 % Problem : Hoare logic with procedures 200_1 % 2.42/2.49 % Version : Especial. % 2.42/2.49 % English : Completeness is taken relative to completeness of the underlying % 2.42/2.49 % logic. Two versions of completeness proof: nested single recursion % 2.42/2.49 % and simultaneous recursion in call rule. % 2.42/2.49 % 2.42/2.50 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 2.42/2.50 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 2.42/2.50 % Source : [Nip10] % 2.42/2.50 % Names : Hoare-200_1 [Nip10] % 2.42/2.50 % 2.42/2.50 % Status : Unsatisfiable % 2.42/2.50 % Rating : 0.40 v8.2.0, 0.29 v8.1.0, 0.21 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.17 v7.0.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.50 v6.0.0, 0.40 v5.5.0, 0.70 v5.3.0, 0.72 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0 % 2.42/2.50 % Syntax : Number of clauses : 644 ( 184 unt; 71 nHn; 309 RR) % 2.42/2.50 % Number of literals : 1411 ( 409 equ; 735 neg) % 2.42/2.50 % Maximal clause size : 7 ( 2 avg) % 2.42/2.50 % Maximal term depth : 14 ( 2 avg) % 2.42/2.50 % Number of predicates : 31 ( 30 usr; 0 prp; 1-9 aty) % 2.42/2.50 % Number of functors : 77 ( 77 usr; 16 con; 0-6 aty) % 2.42/2.50 % Number of variables : 2392 ( 405 sgn) % 2.42/2.50 % SPC : CNF_UNS_RFO_SEQ_NHN % 2.42/2.50 % 2.42/2.50 % Comments : % 2.42/2.50 %------------------------------------------------------------------------------ % 2.42/2.50 cnf(cls_class__semiring_Omul__c_0,axiom, % 2.42/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.42/2.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 2.42/2.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.42/2.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_Un__absorb_0,axiom, % 2.42/2.50 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 2.42/2.50 % 2.42/2.50 cnf(cls_sup__idem_0,axiom, % 2.42/2.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.42/2.50 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_order__less__trans_0,axiom, % 2.42/2.50 ( ~ class_Orderings_Opreorder(T_a) % 2.42/2.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 2.42/2.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 2.42/2.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_xt1_I10_J_0,axiom, % 2.42/2.50 ( ~ class_Orderings_Oorder(T_a) % 2.42/2.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 2.42/2.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 2.42/2.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_inj__on__insert_2,axiom, % 2.42/2.50 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) % 2.42/2.50 | hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a,T_b),T_b)) % 2.42/2.50 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 2.42/2.50 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 2.42/2.50 % 2.42/2.50 cnf(cls_mem__def_1,axiom, % 2.42/2.50 ( hBOOL(c_in(V_x,V_S,T_a)) % 2.42/2.50 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_mem__def_0,axiom, % 2.42/2.50 ( hBOOL(hAPP(V_S,V_x)) % 2.42/2.50 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_Int__Collect_1,axiom, % 2.42/2.50 ( hBOOL(hAPP(V_P,V_x)) % 2.42/2.50 | ~ 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)) ) ). % 2.42/2.50 % 2.42/2.50 cnf(cls_inf__sup__distrib2_0,axiom, % 2.42/2.50 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.44/2.50 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inf__sup__distrib1_0,axiom, % 2.44/2.50 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.44/2.50 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_Int__Un__distrib_0,axiom, % 2.44/2.50 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_Int__Un__distrib2_0,axiom, % 2.44/2.50 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inj__on__imageI_0,axiom, % 2.44/2.50 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b) % 2.44/2.50 | ~ c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_sup__fun__eq_0,axiom, % 2.44/2.50 ( ~ class_Lattices_Olattice(T_b) % 2.44/2.50 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_Diff__triv_0,axiom, % 2.44/2.50 ( 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)) % 2.44/2.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_com_Osimps_I49_J_0,axiom, % 2.44/2.50 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_finite__Collect__not_0,axiom, % 2.44/2.50 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,T_a),c_Not),V_P),T_a),T_a) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_finite__Collect__not_1,axiom, % 2.44/2.50 ( c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,T_a),c_Not),V_P),T_a),T_a) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_image__subset__iff_0,axiom, % 2.44/2.50 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a)) % 2.44/2.50 | ~ hBOOL(c_in(V_x,V_A,T_b)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_finite__surj_0,axiom, % 2.44/2.50 ( c_Finite__Set_Ofinite(V_B,T_b) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inj__on__image__Int_0,axiom, % 2.44/2.50 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 2.44/2.50 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_subset__insert__iff_0,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)) % 2.44/2.50 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_subset__insert__iff_3,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.44/2.50 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_diff__single__insert_0,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.44/2.50 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inj__image__subset__iff_0,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 2.44/2.50 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inj__image__subset__iff_1,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.44/2.50 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_fold1__def_0,axiom, % 2.44/2.50 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_le__SUPI_0,axiom, % 2.44/2.50 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.44/2.50 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b))) % 2.44/2.50 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_UN__upper_0,axiom, % 2.44/2.50 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))) % 2.44/2.50 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_finite__range__imageI_0,axiom, % 2.44/2.50 ( c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f),V_g),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_insert__Diff1_0,axiom, % 2.44/2.50 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) % 2.44/2.50 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_complete__lattice_OSup__UNIV_0,axiom, % 2.44/2.50 ( hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_top % 2.44/2.50 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_complete__lattice_OInf__UNIV_0,axiom, % 2.44/2.50 ( hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_bot % 2.44/2.50 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_com_Osimps_I17_J_0,axiom, % 2.44/2.50 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 2.44/2.50 % 2.44/2.50 cnf(cls_below__fold1__iff_0,axiom, % 2.44/2.50 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.44/2.50 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_xa)) % 2.44/2.50 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.44/2.50 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a))) % 2.44/2.50 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_com_Osimps_I59_J_0,axiom, % 2.44/2.50 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_finite__Diff_0,axiom, % 2.44/2.50 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 2.44/2.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_inj__on__diff_0,axiom, % 2.44/2.50 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) % 2.44/2.50 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_Inf__insert_0,axiom, % 2.44/2.50 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.44/2.50 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)) ) ). % 2.44/2.50 % 2.44/2.50 cnf(cls_Collect__def_0,axiom, % 2.44/2.50 c_Collect(V_P,T_a) = V_P ). % 2.44/2.50 % 2.44/2.50 cnf(cls_com_Osimps_I3_J_1,axiom, % 2.44/2.50 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 2.44/2.50 | V_com2 = V_com2_H ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I3_J_0,axiom, % 2.44/2.51 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 2.44/2.51 | V_com1 = V_com1_H ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I46_J_0,axiom, % 2.44/2.51 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_Sup__insert_0,axiom, % 2.44/2.51 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.44/2.51 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_sup__top__right_0,axiom, % 2.44/2.51 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.44/2.51 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_sup__top__left_0,axiom, % 2.44/2.51 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.44/2.51 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_Un__UNIV__left_0,axiom, % 2.44/2.51 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_Un__UNIV__right_0,axiom, % 2.44/2.51 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I44_J_0,axiom, % 2.44/2.51 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_finite__Diff2_0,axiom, % 2.44/2.51 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_finite__Diff2_1,axiom, % 2.44/2.51 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_finite__UN_0,axiom, % 2.44/2.51 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b) % 2.44/2.51 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.44/2.51 | ~ 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) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 2.44/2.51 ( 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)) % 2.44/2.51 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.44/2.51 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I52_J_0,axiom, % 2.44/2.51 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_DiffE_0,axiom, % 2.44/2.51 ( hBOOL(c_in(V_c,V_A,T_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_setsum__diff1_0,axiom, % 2.44/2.51 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.44/2.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A)),hAPP(V_f,V_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_setsum__diff1__ring_0,axiom, % 2.44/2.51 ( ~ class_Ring__and__Field_Oring(T_b) % 2.44/2.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A)),hAPP(V_f,V_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 2.44/2.51 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 2.44/2.51 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) % 2.44/2.51 | V_A = V_B ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__subset__iff_0,axiom, % 2.44/2.51 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(V_A,V_i))) % 2.44/2.51 | ~ hBOOL(c_in(V_i,V_I,T_b)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)))) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_DiffE_1,axiom, % 2.44/2.51 ( ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_UN__subset__iff_0,axiom, % 2.44/2.51 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(V_A,V_x)),V_B)) % 2.44/2.51 | ~ hBOOL(c_in(V_x,V_I,T_b)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))),V_B)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_K__record__comp_0,axiom, % 2.44/2.51 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__D_0,axiom, % 2.44/2.51 ( hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_a,V_A,T_b)) % 2.44/2.51 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__E_0,axiom, % 2.44/2.51 ( ~ hBOOL(c_in(V_a,V_A,T_b)) % 2.44/2.51 | hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__iff_0,axiom, % 2.44/2.51 ( hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a)) % 2.44/2.51 | ~ hBOOL(c_in(V_x,V_A,T_b)) % 2.44/2.51 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_the__eq__trivial_0,axiom, % 2.44/2.51 c_The(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = V_a ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I45_J_0,axiom, % 2.44/2.51 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_UN__absorb_0,axiom, % 2.44/2.51 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 2.44/2.51 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__extend__simps_I1_J_0,axiom, % 2.44/2.51 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.44/2.51 % 2.44/2.51 cnf(cls_INT__extend__simps_I2_J_0,axiom, % 2.44/2.51 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 2.44/2.51 % 2.44/2.51 cnf(cls_image__Int_0,axiom, % 2.44/2.51 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.44/2.51 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I4_J_2,axiom, % 2.44/2.51 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 2.44/2.51 | V_com2 = V_com2_H ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I4_J_1,axiom, % 2.44/2.51 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 2.44/2.51 | V_com1 = V_com1_H ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_com_Osimps_I4_J_0,axiom, % 2.44/2.51 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 2.44/2.51 | V_fun = V_fun_H ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_image__Int__subset_0,axiom, % 2.44/2.51 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)))) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_finite__Un_2,axiom, % 2.44/2.51 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_finite__UnI_0,axiom, % 2.44/2.51 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 2.44/2.51 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_atLeastatMost__subset__iff_3,axiom, % 2.44/2.51 ( ~ class_Orderings_Oorder(T_a) % 2.44/2.51 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_atLeastatMost__subset__iff_1,axiom, % 2.44/2.51 ( ~ class_Orderings_Oorder(T_a) % 2.44/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_atLeastatMost__subset__iff_0,axiom, % 2.44/2.51 ( ~ class_Orderings_Oorder(T_a) % 2.44/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_Un__Int__assoc__eq_0,axiom, % 2.44/2.51 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.44/2.51 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_Un__Int__assoc__eq_1,axiom, % 2.44/2.51 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.44/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 2.44/2.51 % 2.44/2.51 cnf(cls_UNIV__I_0,axiom, % 2.44/2.51 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ). % 2.44/2.51 % 2.46/2.51 cnf(cls_finite__INT_0,axiom, % 2.46/2.51 ( c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),T_b) % 2.46/2.51 | ~ c_Finite__Set_Ofinite(hAPP(V_A,V_x),T_b) % 2.46/2.51 | ~ hBOOL(c_in(V_x,V_I,T_a)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_INT__simps_I10_J_0,axiom, % 2.46/2.51 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(V_f,V_A,T_c,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_bool),T_c),V_B),V_f),T_c,tc_fun(T_a,tc_bool)) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_o__apply_0,axiom, % 2.46/2.51 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_o__eq__dest__lhs_0,axiom, % 2.46/2.51 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inj__image__mem__iff_0,axiom, % 2.46/2.51 ( hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.51 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inj__image__mem__iff_1,axiom, % 2.46/2.51 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.46/2.51 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_atLeastatMost__subset__iff_2,axiom, % 2.46/2.51 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_injD_0,axiom, % 2.46/2.51 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 2.46/2.51 | V_x = V_y ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_INT__extend__simps_I3_J_0,axiom, % 2.46/2.51 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_setsum__diff1_1,axiom, % 2.46/2.51 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.46/2.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) % 2.46/2.51 | hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_sup1E_0,axiom, % 2.46/2.51 ( hBOOL(hAPP(V_B,V_x)) % 2.46/2.51 | hBOOL(hAPP(V_A,V_x)) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_sup1CI_0,axiom, % 2.46/2.51 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.46/2.51 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_sup1CI_1,axiom, % 2.46/2.51 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.46/2.51 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_range__composition_0,axiom, % 2.46/2.51 c_Set_Oimage(hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f),V_g),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_endo__inj__surj_0,axiom, % 2.46/2.51 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_a)),V_A)) % 2.46/2.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_UnE_0,axiom, % 2.46/2.51 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.51 | hBOOL(c_in(V_c,V_A,T_a)) % 2.46/2.51 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_com_Osimps_I54_J_0,axiom, % 2.46/2.51 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_com_Osimps_I55_J_0,axiom, % 2.46/2.51 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 2.46/2.51 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.51 | 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)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 2.46/2.51 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.51 | 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)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inf__left__commute_0,axiom, % 2.46/2.51 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.51 | 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)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inf__assoc_0,axiom, % 2.46/2.51 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.51 | 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)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_Int__assoc_0,axiom, % 2.46/2.51 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)) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_Int__left__commute_0,axiom, % 2.46/2.51 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)) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_com_Osimps_I48_J_0,axiom, % 2.46/2.51 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inj__on__Un_3,axiom, % 2.46/2.51 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.51 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_inj__on__Un_2,axiom, % 2.46/2.51 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 2.46/2.51 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_Diff__idemp_0,axiom, % 2.46/2.51 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_not__leE_0,axiom, % 2.46/2.51 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_linorder__antisym__conv2_1,axiom, % 2.46/2.51 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_linorder__antisym__conv1_1,axiom, % 2.46/2.51 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_linorder__not__less_1,axiom, % 2.46/2.51 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.51 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.51 % 2.46/2.51 cnf(cls_linorder__not__less_0,axiom, % 2.46/2.51 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.51 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_linorder__not__le_1,axiom, % 2.46/2.52 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_linorder__not__le_0,axiom, % 2.46/2.52 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_less__le__not__le_1,axiom, % 2.46/2.52 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_rangeI_0,axiom, % 2.46/2.52 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_eq__eqI_1,axiom, % 2.46/2.52 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) % 2.46/2.52 | V_xa = V_y ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_eq__eqI_0,axiom, % 2.46/2.52 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 2.46/2.52 | V_x_H = V_y_H ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Max__mono_0,axiom, % 2.46/2.52 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a))) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 2.46/2.52 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_image__diff__subset_0,axiom, % 2.46/2.52 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a))),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a))) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_setsum__right__distrib_0,axiom, % 2.46/2.52 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r)),V_f)),V_A) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__left__commute_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__assoc_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__assoc_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__left__commute_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_IntE_1,axiom, % 2.46/2.52 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.52 | ~ 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)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_IntE_0,axiom, % 2.46/2.52 ( hBOOL(c_in(V_c,V_A,T_a)) % 2.46/2.52 | ~ 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)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inj__on__contraD_0,axiom, % 2.46/2.52 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.46/2.52 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | V_x = V_y % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inj__on__iff_0,axiom, % 2.46/2.52 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.46/2.52 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.52 | V_x = V_y ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inj__on__def_0,axiom, % 2.46/2.52 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 2.46/2.52 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.52 | V_x = V_xa ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inj__onD_0,axiom, % 2.46/2.52 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.52 | V_x = V_y % 2.46/2.52 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__absorb2_0,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__absorb1_0,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__iff__inf_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__iff__inf_1,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__absorb2_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__subset__iff_2,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__upper2_0,axiom, % 2.46/2.52 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__upper1_0,axiom, % 2.46/2.52 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__least_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__supI_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__ge1_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__ge2_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__least_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__sup__iff_2,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__commute_0,axiom, % 2.46/2.52 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) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__commute_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | 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) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | 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) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 2.46/2.52 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a) % 2.46/2.52 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__partition_0,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = V_B % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I14_J_0,axiom, % 2.46/2.52 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_distrib__inf__le_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__subset_0,axiom, % 2.46/2.52 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__Int__crazy_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_CollectI_0,axiom, % 2.46/2.52 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) % 2.46/2.52 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_CollectD_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(V_P,V_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__iff_2,axiom, % 2.46/2.52 ( hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.46/2.52 | hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_DiffI_0,axiom, % 2.46/2.52 ( hBOOL(c_in(V_c,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.46/2.52 | hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_image__set__diff_0,axiom, % 2.46/2.52 ( c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_insert__subset_0,axiom, % 2.46/2.52 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_insert__image_0,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_subset__insert__iff_2,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.52 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_subset__insert__iff_1,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.52 | hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_subset__insert_1,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.52 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_subset__insert_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.46/2.52 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__insert__right_1,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 2.46/2.52 | hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__insert__left_1,axiom, % 2.46/2.52 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 2.46/2.52 | hBOOL(c_in(V_a,V_C,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UN__iff_2,axiom, % 2.46/2.52 ( 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)) % 2.46/2.52 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UN__I_0,axiom, % 2.46/2.52 ( 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)) % 2.46/2.52 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b)) % 2.46/2.52 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__Diff__cancel2_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__Diff__cancel_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_fun__diff__def_0,axiom, % 2.46/2.52 ( ~ class_HOL_Ominus(T_b) % 2.46/2.52 | hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,T_b)),V_A),V_B),v_x) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(V_A,v_x)),hAPP(V_B,v_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__subset__iff_1,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__subset__iff_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__infE_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__infE_1,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__infI1_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__infI2_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__inf__iff_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_le__inf__iff_1,axiom, % 2.46/2.52 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__Diff_0,axiom, % 2.46/2.52 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_insert__def_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_INTER__UNIV__conv_I2_J_0,axiom, % 2.46/2.52 ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 2.46/2.52 | hAPP(V_B,V_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__commute_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__commute_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I6_J_0,axiom, % 2.46/2.52 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H) % 2.46/2.52 | V_pname = V_pname_H ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I5_J_0,axiom, % 2.46/2.52 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 2.46/2.52 | V_fun = V_fun_H ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I5_J_1,axiom, % 2.46/2.52 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 2.46/2.52 | V_com = V_com_H ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_setsum__diff_0,axiom, % 2.46/2.52 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.46/2.52 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_B)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Un__left__absorb_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_sup__left__idem_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_comp__inj__on_0,axiom, % 2.46/2.52 ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I15_J_0,axiom, % 2.46/2.52 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 2.46/2.52 % 2.46/2.52 cnf(cls_SUP1__iff_2,axiom, % 2.46/2.52 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_SUP1__I_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 2.46/2.52 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UN__extend__simps_I10_J_0,axiom, % 2.46/2.52 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_bool),T_b),V_B),V_f),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_b,T_c),V_B,T_c,tc_fun(T_a,tc_bool)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_fold1__Un_0,axiom, % 2.46/2.52 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.46/2.52 | 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)) % 2.46/2.52 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.46/2.52 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.52 | c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_A,T_a)),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_B,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 2.46/2.52 ( 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)) % 2.46/2.52 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_finite__Un_0,axiom, % 2.46/2.52 ( c_Finite__Set_Ofinite(V_F,T_a) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_finite__Un_1,axiom, % 2.46/2.52 ( c_Finite__Set_Ofinite(V_G,T_a) % 2.46/2.52 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_INF__leI_0,axiom, % 2.46/2.52 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.46/2.52 | hBOOL(hAPP(hAPP(c_lessequals(T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b)),hAPP(V_M,V_i))) % 2.46/2.52 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_INT__lower_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool))),hAPP(V_B,V_a))) % 2.46/2.52 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.46/2.52 % 2.46/2.52 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inj__image__eq__iff_0,axiom, % 2.46/2.52 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 2.46/2.52 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 2.46/2.52 | V_A = V_B ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__eq__top__eq2_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 2.46/2.52 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__eq__top__eq1_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 2.46/2.52 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_INTER__UNIV__conv_I1_J_0,axiom, % 2.46/2.52 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 2.46/2.52 | hAPP(V_B,V_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 2.46/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 2.46/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 2.46/2.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_com_Osimps_I16_J_0,axiom, % 2.46/2.52 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__Int__distrib_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),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)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__Int__distrib2_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),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)) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Diff__mono_0,axiom, % 2.46/2.52 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_D))) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B)) % 2.46/2.52 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_disjoint__iff__not__equal_0,axiom, % 2.46/2.52 ( ~ hBOOL(c_in(V_x,V_B,T_a)) % 2.46/2.52 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.52 | 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)) ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__top__right_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_inf__top__left_0,axiom, % 2.46/2.52 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.52 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 2.46/2.52 % 2.46/2.52 cnf(cls_Int__UNIV__left_0,axiom, % 2.46/2.52 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.46/2.52 % 2.46/2.53 cnf(cls_Int__UNIV__right_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ). % 2.46/2.53 % 2.46/2.53 cnf(cls_distrib__sup__le_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__Int2_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),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)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),V_B) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_listsp__infI_0,axiom, % 2.46/2.53 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_l,T_a)) % 2.46/2.53 | ~ hBOOL(c_List_Olistsp(V_B,V_l,T_a)) % 2.46/2.53 | ~ hBOOL(c_List_Olistsp(V_A,V_l,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Inf__UNIV_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__le__not__le_2,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__less__le_1,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_linorder__neq__iff_1,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__less__irrefl_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__inf__absorb_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_fold1__insert_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.46/2.53 | c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_A,T_a)) % 2.46/2.53 | hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_top1I_0,axiom, % 2.46/2.53 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INT__extend__simps_I10_J_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_bool),T_b),V_B),V_f),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(V_f,V_A,T_b,T_c),V_B,T_c,tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_atLeastatMost__empty_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_top__fun__eq_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Otop(T_b) % 2.46/2.53 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 2.46/2.53 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.53 | V_x = V_y ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_equalityI_0,axiom, % 2.46/2.53 ( V_A = V_B % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_set__eq__subset_2,axiom, % 2.46/2.53 ( V_A = V_B % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__eq__iff_2,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_linorder__neqE_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.53 | V_x = V_y ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__antisym_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__antisym__conv_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_linorder__less__linear_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_linorder__antisym__conv3_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | V_x = V_y % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__sup__absorb_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__infI2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__infI1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__Diff__Int_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(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)) = V_A ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__le__less_1,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__less__imp__le_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__absorb1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__iff__sup_1,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__iff__sup_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__absorb1_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__absorb2_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__Un__eq_1,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__imageI_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_bot__empty__eq_0,axiom, % 2.46/2.53 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) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Min__antimono_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a))) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 2.46/2.53 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UN__insert_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_fold1__belowI_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a)),V_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Inf__lower_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)),V_x)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_mult__left__idem_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_atLeastatMost__empty__iff2_1,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_atLeastatMost__empty__iff2_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__insert__left_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__insert__right_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__UNIV_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__mono_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__greatest_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__inf__iff_2,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__infI_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__le2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__le1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__lower1_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__lower2_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(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_B)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__greatest_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__subset__iff_2,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__UNIV_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_top__greatest_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Otop(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_fold1__Un2_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.46/2.53 | c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_A,T_a)),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_B,T_a)) % 2.46/2.53 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_o__assoc_0,axiom, % 2.46/2.53 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I13_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INT__empty_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__inf__distrib2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__inf__distrib1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__Int__distrib_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__Int__distrib2_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_o__def_0,axiom, % 2.46/2.53 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__subset_2,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_a) % 2.46/2.53 | 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) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__left__idem_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | 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) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__left__absorb_0,axiom, % 2.46/2.53 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) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__disjoint_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I53_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 2.46/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 2.46/2.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite_0,axiom, % 2.46/2.53 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 2.46/2.53 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__Collect_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | ~ 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)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__insert_1,axiom, % 2.46/2.53 ( ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a,T_b),T_b)) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I18_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__Diff__if_1,axiom, % 2.46/2.53 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf1E_1,axiom, % 2.46/2.53 ( hBOOL(hAPP(V_B,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf1E_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(V_A,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_setsum__reindex_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_c) % 2.46/2.53 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_c),V_h),c_Set_Oimage(V_f,V_B,T_a,T_b)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_c),c_Fun_Ocomp(V_h,V_f,T_b,T_c,T_a)),V_B) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__surj__inj_0,axiom, % 2.46/2.53 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,V_A,T_a,T_a))) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__Un_1,axiom, % 2.46/2.53 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__Un_0,axiom, % 2.46/2.53 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Sup__UNIV_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_rev__image__eqI_0,axiom, % 2.46/2.53 ( ~ hBOOL(c_in(V_x,V_A,T_aa)) % 2.46/2.53 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__iff_2,axiom, % 2.46/2.53 ( ~ hBOOL(c_in(V_x,V_A,T_b)) % 2.46/2.53 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__eqI_0,axiom, % 2.46/2.53 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_imageI_0,axiom, % 2.46/2.53 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__subset__conv_1,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__subset__conv_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__supI1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__supI2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Int_1,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Int_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__funD_0,axiom, % 2.46/2.53 ( ~ class_HOL_Oord(T_b) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__image_0,axiom, % 2.46/2.53 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f),V_g),V_A,T_c,T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_setsum__left__distrib_0,axiom, % 2.46/2.53 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Otimes__class_Otimes(T_a)),V_f),T_b,T_a,T_a),V_r)),V_A) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__bot__left_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__bot__right_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__bot__left_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | 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) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__bot__right_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | 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) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_bot__least_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Obot(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__eq__bot__eq1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_sup__eq__bot__eq2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 2.46/2.53 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__empty_2,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__is__empty_0,axiom, % 2.46/2.53 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 2.46/2.53 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 2.46/2.53 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 2.46/2.53 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 2.46/2.53 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__Collect__eq_0,axiom, % 2.46/2.53 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 2.46/2.53 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_ex__in__conv_0,axiom, % 2.46/2.53 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_ball__empty_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(V_P,V_x)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__iff_0,axiom, % 2.46/2.53 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_emptyE_0,axiom, % 2.46/2.53 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__empty_1,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__empty_0,axiom, % 2.46/2.53 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Collect__empty__eq_0,axiom, % 2.46/2.53 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__fold1SetE_0,axiom, % 2.46/2.53 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UNIV__not__empty_0,axiom, % 2.46/2.53 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__Diff_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__empty__right_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__empty__left_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__cancel_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__empty_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite_OemptyI_0,axiom, % 2.46/2.53 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__empty__right_0,axiom, % 2.46/2.53 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)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__empty__left_0,axiom, % 2.46/2.53 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)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__subsetI_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__is__image_0,axiom, % 2.46/2.53 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__empty_0,axiom, % 2.46/2.53 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__empty_0,axiom, % 2.46/2.53 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_bex__empty_0,axiom, % 2.46/2.53 ( ~ hBOOL(hAPP(V_P,V_x)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__empty_1,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__empty_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_empty__is__image_1,axiom, % 2.46/2.53 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_setsum__subtractf_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.46/2.53 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_g)),V_A) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_singleton__conv_0,axiom, % 2.46/2.53 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__Diff_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = V_A % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Sup__binary_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__insert__iff_4,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__insert__absorb_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_A % 2.46/2.53 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Inf__binary_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__mono_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__iff_2,axiom, % 2.46/2.53 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insertCI_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__insert_0,axiom, % 2.46/2.53 c_Set_Oimage(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B),T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 2.46/2.53 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 2.46/2.53 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 2.46/2.53 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 2.46/2.53 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insertE_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.53 | V_a = V_b % 2.46/2.53 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__insert_1,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__insert_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__insertI_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__inter__insert_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__insert__right_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__insert__left_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__insertI2_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__subset_1,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__insert_0,axiom, % 2.46/2.53 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__iff_1,axiom, % 2.46/2.53 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insertI1_0,axiom, % 2.46/2.53 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insertCI_1,axiom, % 2.46/2.53 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__ident_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B) % 2.46/2.53 | hBOOL(c_in(V_x,V_B,T_a)) % 2.46/2.53 | hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | V_A = V_B ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_insert__absorb_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_contents__def_0,axiom, % 2.46/2.53 c_Set_Ocontents(V_X,T_a) = c_The(hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_bool,T_a),hAPP(c_fequal(tc_fun(T_a,tc_bool)),V_X)),hAPP(c_COMBC(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Collect__disjI_2,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_or),V_P)),V_Q),T_a),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Collect__disjI_1,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_or),V_P)),V_Q),T_a),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Collect__disjI_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_or),V_P)),V_Q),T_a),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Collect__disj__eq_0,axiom, % 2.46/2.53 c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_or),V_P)),V_Q),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)),c_Collect(V_Q,T_a)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INT__constant_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Diff__insert_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__Diff__insert_1,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Inf__empty_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__compose_0,axiom, % 2.46/2.53 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I47_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__UNIV_0,axiom, % 2.46/2.53 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 2.46/2.53 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UnCI_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UnCI_1,axiom, % 2.46/2.53 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__idem_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.46/2.53 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__absorb_0,axiom, % 2.46/2.53 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__sup__iff_1,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__sup__iff_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__supI2_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__supI1_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__supE_1,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__supE_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__subset__iff_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Un__subset__iff_1,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_fold1__insert__idem_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.46/2.53 | c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),V_A,T_a)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Max__in_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf__fun__eq_0,axiom, % 2.46/2.53 ( ~ class_Lattices_Olattice(T_b) % 2.46/2.53 | 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)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_xt1_I6_J_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_xt1_I7_J_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_xt1_I8_J_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__trans_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_set__mp_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subsetD_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_equalityE_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_set__rev__mp_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__iff_0,axiom, % 2.46/2.53 ( hBOOL(c_in(V_t,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_t,V_A,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__refl_0,axiom, % 2.46/2.53 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__trans_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__inj__on_0,axiom, % 2.46/2.53 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_predicate1D_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(V_Q,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(V_P,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__eq__iff_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__eq__refl_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__subset_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_rev__predicate1D_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(V_Q,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) % 2.46/2.53 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_rev__finite__subset_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__le__less__trans_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_order__less__le__trans_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INF1__D_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 2.46/2.53 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INF1__E_0,axiom, % 2.46/2.53 ( ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.46/2.53 | hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 2.46/2.53 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INF1__iff_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UN__simps_I10_J_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_c,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_bool),T_c),V_B),V_f),T_c,tc_fun(T_a,tc_bool)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__mono_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__Un_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_atLeastatMost__empty__iff_1,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_atLeastatMost__empty__iff_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__Diff_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inj__on__image__set__diff_0,axiom, % 2.46/2.53 ( c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INT__Un_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_mult__idem_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Min__in_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)) % 2.46/2.53 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I58_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__Collect_2,axiom, % 2.46/2.53 ( 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)) % 2.46/2.53 | ~ hBOOL(hAPP(V_P,V_x)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_INT__absorb_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 2.46/2.53 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_com_Osimps_I19_J_0,axiom, % 2.46/2.53 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ). % 2.46/2.53 % 2.46/2.53 cnf(cls_o__eq__dest_0,axiom, % 2.46/2.53 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a) % 2.46/2.53 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_comp__cong_0,axiom, % 2.46/2.53 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H)) % 2.46/2.53 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Diff__Int_0,axiom, % 2.46/2.53 hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_dual__complete__lattice_0,axiom, % 2.46/2.53 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.53 | c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(T_a),c_Complete__Lattice_OInf__class_OInf(T_a),c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),c_Orderings_Obot__class_Obot(T_a),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_UN__Un_0,axiom, % 2.46/2.53 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_the__sym__eq__trivial_0,axiom, % 2.46/2.53 c_The(hAPP(c_fequal(T_a),V_x),T_a) = V_x ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Min__le_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x)) % 2.46/2.53 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_IntI_0,axiom, % 2.46/2.53 ( 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)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_Int__iff_2,axiom, % 2.46/2.53 ( 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)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.46/2.53 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_inf1I_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(V_B,V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_double__diff_0,axiom, % 2.46/2.53 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_C),V_A)) = V_A % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__eqI_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_le__eqI_1,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__eqI_0,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_less__eqI_1,axiom, % 2.46/2.53 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.46/2.53 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_image__mono_0,axiom, % 2.46/2.53 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_subset__image__iff_2,axiom, % 2.46/2.53 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_x),V_A)) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_finite__imageD_0,axiom, % 2.46/2.53 ( c_Finite__Set_Ofinite(V_A,T_b) % 2.46/2.53 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a) % 2.46/2.53 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 2.46/2.53 % 2.46/2.53 cnf(cls_xt1_I11_J_0,axiom, % 2.46/2.53 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.53 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 2.46/2.53 | V_a = V_b % 2.46/2.53 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ). % 2.46/2.53 % 2.46/2.54 cnf(cls_xt1_I12_J_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) % 2.46/2.54 | V_a = V_b ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__le__less_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | V_x = V_y % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__less__le_2,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.54 | V_x = V_y % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__le__neq__trans_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 2.46/2.54 | V_a = V_b % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__neq__le__trans_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) % 2.46/2.54 | V_a = V_b ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_linorder__antisym__conv1_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | V_x = V_y % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_linorder__antisym__conv2_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | V_x = V_y % 2.46/2.54 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Max__ge_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a))) % 2.46/2.54 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.46/2.54 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_image__Un_0,axiom, % 2.46/2.54 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_INT__insert_0,axiom, % 2.46/2.54 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Sup__upper_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A))) % 2.46/2.54 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 2.46/2.54 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_class__semiring_Omul__a_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_com_Osimps_I12_J_0,axiom, % 2.46/2.54 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_xt1_I9_J_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_linorder__linear_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 2.46/2.54 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__less__asym_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_order__less__asym_H_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Opreorder(T_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Loop_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_BodyN_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),V_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_OIf_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_image__constant_0,axiom, % 2.46/2.54 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) % 2.46/2.54 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_inj__singleton_0,axiom, % 2.46/2.54 c_Fun_Oinj__on(hAPP(c_COMBC(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_listsp__conj__eq_0,axiom, % 2.46/2.54 c_List_Olistsp(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),V_A)),V_B),v_x,t_a) = hAPP(hAPP(c_and,c_List_Olistsp(V_A,v_x,t_a)),c_List_Olistsp(V_B,v_x,t_a)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_finite__Collect__conjI_1,axiom, % 2.46/2.54 ( c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),V_P)),V_Q),T_a),T_a) % 2.46/2.54 | ~ c_Finite__Set_Ofinite(c_Collect(V_Q,T_a),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_finite__Collect__conjI_0,axiom, % 2.46/2.54 ( c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),V_P)),V_Q),T_a),T_a) % 2.46/2.54 | ~ c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Collect__conj__eq_0,axiom, % 2.46/2.54 c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),V_P)),V_Q),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)),c_Collect(V_Q,T_a)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_finite__image__set_0,axiom, % 2.46/2.54 ( c_Finite__Set_Ofinite(c_Collect(hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_bool,T_b),c_Ex(T_a)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),T_b),c_COMBS(T_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_fun(tc_bool,tc_bool)),T_b),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_bool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_bool)),T_b),c_COMBB(T_b,tc_bool,T_a)),c_fequal(T_b)),T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_bool)),V_f))),T_b,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),V_P)),T_b),T_b) % 2.46/2.54 | ~ c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_bot__fun__eq_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Obot(T_b) % 2.46/2.54 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Sup__empty_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.54 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_singleton__conv2_0,axiom, % 2.46/2.54 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_subset__singletonD_0,axiom, % 2.46/2.54 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_singleton__iff_1,axiom, % 2.46/2.54 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 2.46/2.54 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a % 2.46/2.54 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 2.46/2.54 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a % 2.46/2.54 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Sup__singleton_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.54 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Nitpick_OEx1__def_2,axiom, % 2.46/2.54 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_fold1Set__sing_1,axiom, % 2.46/2.54 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Min__singleton_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Nitpick_OThe__psimp_0,axiom, % 2.46/2.54 c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ). % 2.46/2.54 % 2.46/2.54 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 2.46/2.54 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_inf,V_a),V_b) % 2.46/2.54 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 2.46/2.54 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_sup,V_a),V_b) % 2.46/2.54 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Diff__insert2_0,axiom, % 2.46/2.54 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))),V_B) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Diff__insert_0,axiom, % 2.46/2.54 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_fold1Set__sing_0,axiom, % 2.46/2.54 ( V_a = V_b % 2.46/2.54 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_contents__eq_0,axiom, % 2.46/2.54 c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Nitpick_OEx1__def_3,axiom, % 2.46/2.54 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_singletonE_0,axiom, % 2.46/2.54 ( V_b = V_a % 2.46/2.54 | ~ hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_fold1__singleton_0,axiom, % 2.46/2.54 c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Max__singleton_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Olinorder(T_a) % 2.46/2.54 | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__Diff__single_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_atLeastAtMost__singleton_0,axiom, % 2.46/2.54 ( ~ class_Orderings_Oorder(T_a) % 2.46/2.54 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.54 | hBOOL(c_in(V_x,V_xa,T_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__is__Un_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Inf__singleton_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.46/2.54 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_INF__const_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.46/2.54 | c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_image__constant__conv_0,axiom, % 2.46/2.54 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_SUP__const_0,axiom, % 2.46/2.54 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.46/2.54 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_image__eq__UN_0,axiom, % 2.46/2.54 c_Set_Oimage(V_f,V_A,T_b,T_a) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),T_b),c_Set_Oinsert(T_a)),V_f),T_b,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_b,tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Collect__conv__if_1,axiom, % 2.46/2.54 ( c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a))),V_P),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.54 | hBOOL(hAPP(V_P,V_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_UN__empty2_0,axiom, % 2.46/2.54 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_INT__constant_1,axiom, % 2.46/2.54 ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_UN__constant_1,axiom, % 2.46/2.54 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_UN__constant_0,axiom, % 2.46/2.54 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_less__bool__def__raw_0,axiom, % 2.46/2.54 hAPP(c_HOL_Oord__class_Oless(tc_bool),v_P) = hAPP(c_and,hAPP(c_Not,v_P)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_COMBK__def__raw_0,axiom, % 2.46/2.54 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ). % 2.46/2.54 % 2.46/2.54 cnf(cls_escape_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq12_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H))) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq2_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq12_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq1_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq_2,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq1_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq12_2,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conseq2_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H))) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_escape_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) % 2.46/2.54 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Collect__conv__if_0,axiom, % 2.46/2.54 ( c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a))),V_P),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 2.46/2.54 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_setsum__product_0,axiom, % 2.46/2.54 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.46/2.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),V_g),V_B)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),c_Finite__Set_Osetsum(T_c,T_a)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Otimes__class_Otimes(T_a)),V_f)),T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),V_g)),T_b,tc_fun(T_c,tc_bool),T_a),V_B)),V_A) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_setsum__commute_0,axiom, % 2.46/2.54 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.46/2.54 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),c_Finite__Set_Osetsum(T_c,T_a)),V_f),T_b,tc_fun(T_c,tc_bool),T_a),V_B)),V_A) = hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_bool),T_a),T_c),c_Finite__Set_Osetsum(T_b,T_a)),c_COMBC(V_f,T_b,T_c,T_a)),T_c,tc_fun(T_b,tc_bool),T_a),V_A)),V_B) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_image__constant__conv_1,axiom, % 2.46/2.54 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 2.46/2.54 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_UN__singleton_0,axiom, % 2.46/2.54 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(c_COMBC(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a,tc_fun(T_a,tc_bool)) = V_A ). % 2.46/2.54 % 2.46/2.54 cnf(cls_filter__filter_0,axiom, % 2.46/2.54 c_List_Ofilter(V_P,c_List_Ofilter(V_Q,V_xs,T_a),T_a) = c_List_Ofilter(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),V_Q)),V_P),V_xs,T_a) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_empty__def_0,axiom, % 2.46/2.54 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_wfP__empty_0,axiom, % 2.46/2.54 c_Wellfounded_OwfP(c_COMBK(c_COMBK(c_False,tc_bool,T_a),tc_fun(T_a,tc_bool),T_a),T_a) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Collect__conv__if2_1,axiom, % 2.46/2.54 ( c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_fequal(T_a),V_a))),V_P),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.46/2.54 | hBOOL(hAPP(V_P,V_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_OSkip_0,axiom, % 2.46/2.54 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Comp_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_Collect__conv__if2_0,axiom, % 2.46/2.54 ( c_Collect(hAPP(hAPP(c_COMBS(T_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_fequal(T_a),V_a))),V_P),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 2.46/2.54 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_hoare__derivs_Oinsert_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__code_1,axiom, % 2.46/2.54 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_cut_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a) % 2.46/2.54 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_empty__not__insert_0,axiom, % 2.46/2.54 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_triple_Oinject_2,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 2.46/2.54 | V_fun2 = V_fun2_H ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_triple_Oinject_1,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 2.46/2.54 | V_com = V_com_H ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_triple_Oinject_0,axiom, % 2.46/2.54 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a) % 2.46/2.54 | V_fun1 = V_fun1_H ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_doubleton__eq__iff_3,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 2.46/2.54 | V_b = V_c % 2.46/2.54 | V_b = V_d ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_doubleton__eq__iff_2,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 2.46/2.54 | V_a = V_d % 2.46/2.54 | V_b = V_d ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_doubleton__eq__iff_1,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 2.46/2.54 | V_b = V_c % 2.46/2.54 | V_a = V_c ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_doubleton__eq__iff_0,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 2.46/2.54 | V_a = V_d % 2.46/2.54 | V_a = V_c ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_bot1E_0,axiom, % 2.46/2.54 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_empty_0,axiom, % 2.46/2.54 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__code_0,axiom, % 2.46/2.54 ( hBOOL(hAPP(V_A,V_x)) % 2.46/2.54 | V_y = V_x % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__absorb2_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__not__empty_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__commute_0,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_COMBB__def_0,axiom, % 2.46/2.54 hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_COMBC__def_0,axiom, % 2.46/2.54 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_COMBK__def_0,axiom, % 2.46/2.54 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 2.46/2.54 % 2.46/2.54 cnf(cls_COMBS__def_0,axiom, % 2.46/2.54 hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_doubleton__eq__iff_4,axiom, % 2.46/2.54 hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_singleton__inject_0,axiom, % 2.46/2.54 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) % 2.46/2.54 | V_a = V_b ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_insert__code_2,axiom, % 2.46/2.54 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) % 2.46/2.54 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_conjecture_0,negated_conjecture, % 2.46/2.54 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 2.46/2.54 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 2.46/2.54 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Lattices_Olattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 2.46/2.54 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Lattices_Olattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 2.46/2.54 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 2.46/2.54 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 2.46/2.54 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 2.46/2.54 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 2.46/2.54 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Orderings_Opreorder(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Lattices_Olattice,axiom, % 2.46/2.54 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Lattices_Olattice(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Orderings_Oorder,axiom, % 2.46/2.54 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Orderings_Oorder(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Orderings_Otop,axiom, % 2.46/2.54 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Orderings_Otop(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__Orderings_Obot,axiom, % 2.46/2.54 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_Orderings_Obot(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__HOL_Ominus,axiom, % 2.46/2.54 ( class_HOL_Ominus(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_HOL_Ominus(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_fun__HOL_Oord,axiom, % 2.46/2.54 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 2.46/2.54 | ~ class_HOL_Oord(T_1) ) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 2.46/2.54 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 2.46/2.54 class_Lattices_Oupper__semilattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 2.46/2.54 class_Lattices_Olower__semilattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 2.46/2.54 class_Lattices_Odistrib__lattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 2.46/2.54 class_Lattices_Obounded__lattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 2.46/2.54 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 2.46/2.54 class_Orderings_Opreorder(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Lattices_Olattice,axiom, % 2.46/2.54 class_Lattices_Olattice(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Orderings_Oorder,axiom, % 2.46/2.54 class_Orderings_Oorder(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Orderings_Otop,axiom, % 2.46/2.54 class_Orderings_Otop(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__Orderings_Obot,axiom, % 2.46/2.54 class_Orderings_Obot(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__HOL_Ominus,axiom, % 2.46/2.54 class_HOL_Ominus(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(clsarity_bool__HOL_Oord,axiom, % 2.46/2.54 class_HOL_Oord(tc_bool) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom, % 2.46/2.54 hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom, % 2.46/2.54 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom, % 2.46/2.54 hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_OCOMBK__def_0,axiom, % 2.46/2.54 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_OCOMBI__def_0,axiom, % 2.46/2.54 c_COMBI(V_P,T_a) = V_P ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 2.46/2.54 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 2.46/2.54 % 2.46/2.54 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 2.46/2.54 ( V_X = V_Y % 2.46/2.54 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 2.46/2.54 % 2.46/2.54 %------------------------------------------------------------------------------ % 2.46/2.54 %------------------------------------------- % 2.46/2.54 % Proof found % 2.46/2.54 % SZS status Theorem for theBenchmark % 2.46/2.54 % SZS output start Proof % 2.46/2.54 %ClaNum:838(EqnAxiom:197) % 2.46/2.54 %VarNum:5100(SingletonVarNum:2022) % 2.46/2.54 %MaxLitNum:7 % 2.46/2.54 %MaxfuncDepth:7 % 2.46/2.54 %SharedTerms:75 % 2.46/2.54 %goalClause: 378 % 2.46/2.54 %singleGoalClaCount:1 % 2.46/2.54 [198]P1(a1) % 2.46/2.54 [199]P15(a1) % 2.46/2.54 [200]P16(a1) % 2.46/2.54 [201]P2(a1) % 2.46/2.54 [202]P13(a1) % 2.46/2.54 [203]P3(a1) % 2.46/2.54 [204]P14(a1) % 2.46/2.54 [205]P9(a1) % 2.46/2.54 [206]P10(a1) % 2.46/2.54 [207]P24(a1) % 2.46/2.54 [208]P11(a1) % 2.46/2.54 [209]P12(a1) % 2.46/2.54 [210]P17(a1) % 2.46/2.54 [211]E(f43(a2,f43(a3,a53)),f43(f4(a1),a53)) % 2.46/2.54 [224]E(f45(a57,f36(f54(a48,a1)),a48),f43(f36(f54(a48,a1)),a57)) % 2.46/2.54 [378]~P6(a55,f43(f43(f38(f50(a48)),f29(f6(f6(a5,a1,a51),f54(a51,a1),a48),a58,f43(f8(f43(f43(f7(f54(a51,f54(a1,a1)),f54(f54(a51,a1),f54(a51,a1)),a48),f10(a51,a1,a1)),f43(f43(f7(f54(a51,a1),f54(a51,f54(a1,a1)),a48),f43(f7(a1,f54(a1,a1),a51),a2)),a53)),a48,f54(a51,a1),f54(a51,a1)),f43(f43(f7(a1,a1,a51),a3),a59)),a48)),f36(f54(f50(a48),a1))),a48) % 2.46/2.54 [351]~E(f12(x3511),a11) % 2.46/2.54 [213]P4(f36(f54(x2131,a1)),x2131) % 2.46/2.54 [214]E(f36(f54(x2141,a1)),f6(a5,a1,x2141)) % 2.46/2.54 [255]P8(f6(f6(a5,a1,x2551),f54(x2551,a1),x2551),x2551) % 2.46/2.54 [362]~E(f39(f54(x3621,a1)),f36(f54(x3621,a1))) % 2.46/2.54 [317]P7(f43(f8(f38(x3171),x3171,f54(x3171,a1),f54(x3171,a1)),f36(f54(x3171,a1))),f39(f54(x3171,a1)),x3171,f54(x3171,a1)) % 2.46/2.54 [354]~E(f15(x3541,x3542),a11) % 2.46/2.54 [355]~E(f16(x3551,x3552),a11) % 2.46/2.54 [316]E(f19(x3161,f43(f8(f38(x3162),x3162,f54(x3162,a1),f54(x3162,a1)),f36(f54(x3162,a1))),x3162,f54(x3162,a1)),x3161) % 2.46/2.54 [212]E(f35(f43(f44(x2121),x2122),x2121),x2122) % 2.46/2.54 [215]P25(f43(f43(f44(x2151),x2152),x2152)) % 2.46/2.54 [219]E(f43(f43(f38(x2191),x2192),f36(f54(x2191,a1))),f43(f44(x2191),x2192)) % 2.46/2.54 [220]P6(x2201,f36(f54(f50(x2202),a1)),x2202) % 2.46/2.54 [221]P25(f43(f39(f54(x2211,a1)),x2212)) % 2.46/2.54 [226]E(f43(f43(f27(f54(x2261,a1)),x2262),f36(f54(x2261,a1))),x2262) % 2.46/2.54 [227]E(f43(f43(f21(f54(x2271,a1)),x2272),f36(f54(x2271,a1))),x2272) % 2.46/2.54 [228]E(f43(f43(f28(f54(x2281,a1)),x2282),f39(f54(x2281,a1))),x2282) % 2.46/2.54 [230]P25(f45(x2301,f39(f54(x2302,a1)),x2302)) % 2.46/2.54 [233]E(f43(f43(f27(f54(x2331,a1)),x2332),f39(f54(x2331,a1))),f39(f54(x2331,a1))) % 2.46/2.54 [234]E(f43(f43(f21(f54(x2341,a1)),x2342),f39(f54(x2341,a1))),f36(f54(x2341,a1))) % 2.46/2.54 [235]E(f43(f43(f28(f54(x2351,a1)),x2352),f36(f54(x2351,a1))),f36(f54(x2351,a1))) % 2.46/2.54 [256]P25(f43(f43(f46(f54(x2561,a1)),x2562),f39(f54(x2561,a1)))) % 2.46/2.54 [277]E(f43(f8(f44(x2771),x2771,x2771,a1),x2772),f43(f43(f38(x2771),x2772),f36(f54(x2771,a1)))) % 2.46/2.54 [373]~P25(f43(f36(f54(x3731,a1)),x3732)) % 2.46/2.54 [376]~P25(f45(x3761,f36(f54(x3762,a1)),x3762)) % 2.46/2.54 [222]E(f43(f43(f27(f54(x2221,a1)),x2222),x2222),x2222) % 2.46/2.54 [223]E(f43(f43(f28(f54(x2231,a1)),x2232),x2232),x2232) % 2.46/2.54 [225]E(f43(f43(f21(f54(x2251,a1)),x2252),x2252),f36(f54(x2251,a1))) % 2.46/2.54 [231]E(f35(f43(f43(f38(x2311),x2312),f36(f54(x2311,a1))),x2311),x2312) % 2.46/2.54 [232]E(f40(f43(f43(f38(x2321),x2322),f36(f54(x2321,a1))),x2321),x2322) % 2.46/2.54 [237]E(f43(f43(f27(f54(x2371,a1)),f36(f54(x2371,a1))),x2372),x2372) % 2.46/2.54 [238]E(f43(f43(f28(f54(x2381,a1)),f39(f54(x2381,a1))),x2382),x2382) % 2.46/2.54 [239]E(f43(f43(f27(f54(x2391,a1)),f39(f54(x2391,a1))),x2392),f39(f54(x2391,a1))) % 2.46/2.54 [240]E(f43(f43(f21(f54(x2401,a1)),f36(f54(x2401,a1))),x2402),f36(f54(x2401,a1))) % 2.46/2.54 [241]E(f43(f43(f28(f54(x2411,a1)),f36(f54(x2411,a1))),x2412),f36(f54(x2411,a1))) % 2.46/2.54 [245]P25(f43(f43(f46(f54(x2451,a1)),x2452),x2452)) % 2.46/2.54 [260]P25(f43(f43(f46(f54(x2601,a1)),f36(f54(x2601,a1))),x2602)) % 2.46/2.54 [293]E(f35(f43(f8(f44(x2931),x2931,x2931,a1),x2932),x2931),x2932) % 2.46/2.54 [303]P25(f43(f43(f43(f38(x3031),x3032),f36(f54(x3031,a1))),f32(f43(f43(f38(x3031),x3032),f36(f54(x3031,a1))),x3031))) % 2.46/2.54 [344]E(f35(f43(f43(f7(f54(x3441,a1),a1,x3441),f43(f44(f54(x3441,a1)),x3442)),f43(f8(f38(x3441),x3441,f54(x3441,a1),f54(x3441,a1)),f36(f54(x3441,a1)))),x3441),f40(x3442,x3441)) % 2.46/2.54 [342]E(f34(f43(f43(f10(a48,a1,a1),f43(f43(f7(a1,f54(a1,a1),a48),a2),x3421)),x3422),a57,a48),f43(f43(a2,f34(x3421,a57,a48)),f34(x3422,a57,a48))) % 2.46/2.54 [356]~E(f12(x3561),f15(x3562,x3563)) % 2.46/2.54 [357]~E(f12(x3571),f16(x3572,x3573)) % 2.46/2.54 [358]~E(f15(x3581,x3582),f12(x3583)) % 2.46/2.54 [359]~E(f16(x3591,x3592),f12(x3593)) % 2.46/2.54 [364]~E(f14(x3641,x3642,x3643),a11) % 2.46/2.54 [246]P7(x2461,f36(f54(x2462,a1)),x2462,x2463) % 2.46/2.54 [254]E(f9(f36(f54(x2541,a1)),x2542,x2541,f54(x2543,a1)),f39(f54(x2543,a1))) % 2.46/2.54 [261]E(f19(f36(f54(x2611,a1)),f6(x2612,f54(x2613,a1),x2611),x2611,f54(x2613,a1)),f36(f54(x2613,a1))) % 2.46/2.54 [266]E(f19(x2661,f6(f36(f54(x2662,a1)),f54(x2662,a1),x2663),x2663,f54(x2662,a1)),f36(f54(x2662,a1))) % 2.46/2.54 [252]E(f42(x2521,f36(f54(x2522,a1)),x2522,x2523),f36(f54(x2523,a1))) % 2.46/2.54 [372]~E(f43(f43(f38(x3721),x3722),x3723),f36(f54(x3721,a1))) % 2.46/2.54 [229]E(f43(f43(f38(x2291),x2292),f43(f43(f38(x2291),x2292),x2293)),f43(f43(f38(x2291),x2292),x2293)) % 2.46/2.54 [236]P25(f43(f43(f43(f38(x2361),x2362),x2363),x2362)) % 2.46/2.54 [242]E(f43(f43(f27(f54(x2421,a1)),x2422),x2423),f43(f43(f27(f54(x2421,a1)),x2423),x2422)) % 2.46/2.54 [243]E(f43(f43(f28(f54(x2431,a1)),x2432),x2433),f43(f43(f28(f54(x2431,a1)),x2433),x2432)) % 2.46/2.54 [250]P25(f45(x2501,f43(f43(f38(x2502),x2501),x2503),x2502)) % 2.46/2.54 [259]P25(f43(f43(f46(f54(x2591,a1)),x2592),f43(f43(f38(x2591),x2593),x2592))) % 2.46/2.54 [336]P6(x3361,f43(f43(f38(f50(x3362)),f29(x3363,a11,x3363,x3362)),f36(f54(f50(x3362),a1))),x3362) % 2.46/2.54 [377]~P25(f43(f22(x3771,f36(f54(x3772,a1)),x3772),x3773)) % 2.46/2.54 [258]E(f43(f43(f28(f54(x2581,a1)),x2582),f43(f43(f21(f54(x2581,a1)),x2583),x2582)),f36(f54(x2581,a1))) % 2.46/2.54 [265]E(f35(f22(x2651,f43(f43(f38(x2652),x2653),f36(f54(x2652,a1))),x2652),x2652),x2653) % 2.46/2.54 [269]E(f43(f43(f27(f54(x2691,a1)),x2692),f43(f43(f27(f54(x2691,a1)),x2692),x2693)),f43(f43(f27(f54(x2691,a1)),x2692),x2693)) % 2.46/2.54 [270]E(f43(f43(f27(f54(x2701,a1)),x2702),f43(f43(f21(f54(x2701,a1)),x2703),x2702)),f43(f43(f27(f54(x2701,a1)),x2702),x2703)) % 2.46/2.54 [271]E(f43(f43(f28(f54(x2711,a1)),x2712),f43(f43(f28(f54(x2711,a1)),x2712),x2713)),f43(f43(f28(f54(x2711,a1)),x2712),x2713)) % 2.46/2.54 [276]E(f43(f43(f27(f54(x2761,a1)),f43(f43(f38(x2761),x2762),f36(f54(x2761,a1)))),x2763),f43(f43(f38(x2761),x2762),x2763)) % 2.46/2.54 [284]E(f43(f43(f38(x2841),x2842),f43(f43(f21(f54(x2841,a1)),x2843),f43(f43(f38(x2841),x2842),f36(f54(x2841,a1))))),f43(f43(f38(x2841),x2842),x2843)) % 2.46/2.54 [289]P25(f43(f43(f46(f54(x2891,a1)),x2892),f43(f43(f27(f54(x2891,a1)),x2893),x2892))) % 2.46/2.54 [290]P25(f43(f43(f46(f54(x2901,a1)),x2902),f43(f43(f27(f54(x2901,a1)),x2902),x2903))) % 2.46/2.54 [292]E(f43(f43(f27(f54(x2921,a1)),f43(f43(f21(f54(x2921,a1)),x2922),x2923)),f43(f43(f28(f54(x2921,a1)),x2922),x2923)),x2922) % 2.46/2.54 [296]P25(f43(f22(x2961,f43(f43(f38(x2962),x2963),f36(f54(x2962,a1))),x2962),x2963)) % 2.46/2.54 [333]E(f43(f43(f27(f54(x3331,a1)),f43(f8(f44(x3331),x3331,x3331,a1),x3332)),x3333),f43(f43(f38(x3331),x3332),x3333)) % 2.46/2.54 [285]E(f43(f43(f27(f54(x2851,a1)),f43(f43(f21(f54(x2851,a1)),x2852),x2853)),x2853),f43(f43(f27(f54(x2851,a1)),x2852),x2853)) % 2.46/2.54 [286]E(f43(f43(f21(f54(x2861,a1)),f43(f43(f21(f54(x2861,a1)),x2862),x2863)),x2863),f43(f43(f21(f54(x2861,a1)),x2862),x2863)) % 2.46/2.54 [312]P25(f43(f43(f46(f54(x3121,a1)),f43(f43(f21(f54(x3121,a1)),x3122),x3123)),x3122)) % 2.46/2.54 [313]P25(f43(f43(f46(f54(x3131,a1)),f43(f43(f28(f54(x3131,a1)),x3132),x3133)),x3133)) % 2.46/2.54 [314]P25(f43(f43(f46(f54(x3141,a1)),f43(f43(f28(f54(x3141,a1)),x3142),x3143)),x3142)) % 2.46/2.54 [319]E(f43(f43(f10(x3191,a1,a1),f43(f43(f7(a1,f54(a1,a1),x3191),a47),x3192)),x3193),f43(f43(f27(f54(x3191,a1)),x3192),x3193)) % 2.46/2.54 [320]E(f43(f43(f10(x3201,a1,a1),f43(f43(f7(a1,f54(a1,a1),x3201),a2),x3202)),x3203),f43(f43(f28(f54(x3201,a1)),x3202),x3203)) % 2.46/2.54 [361]~E(f16(x3611,x3612),f15(x3613,x3614)) % 2.46/2.54 [365]~E(f12(x3651),f14(x3652,x3653,x3654)) % 2.46/2.54 [366]~E(f14(x3661,x3662,x3663),f12(x3664)) % 2.46/2.54 [218]E(f43(f6(x2181,x2182,x2183),x2184),x2181) % 2.46/2.54 [346]E(f19(x3461,f43(f8(f43(f43(f7(x3462,f54(f54(x3462,a1),f54(x3462,a1)),x3463),f38(x3462)),x3464),x3463,f54(x3462,a1),f54(x3462,a1)),f36(f54(x3462,a1))),x3463,f54(x3462,a1)),f42(x3464,x3461,x3463,x3462)) % 2.46/2.54 [279]E(f43(f43(f27(f54(x2791,a1)),x2792),f19(f36(f54(x2793,a1)),x2794,x2793,f54(x2791,a1))),x2792) % 2.46/2.54 [280]E(f43(f43(f21(f54(x2801,a1)),x2802),f19(f36(f54(x2803,a1)),x2804,x2803,f54(x2801,a1))),x2802) % 2.46/2.54 [281]E(f43(f43(f28(f54(x2811,a1)),x2812),f9(f36(f54(x2813,a1)),x2814,x2813,f54(x2811,a1))),x2812) % 2.46/2.54 [283]E(f43(f43(f38(x2831),x2832),f19(f36(f54(x2833,a1)),x2834,x2833,f54(x2831,a1))),f43(f43(f38(x2831),x2832),f36(f54(x2831,a1)))) % 2.46/2.54 [340]E(f43(f23(f6(x3401,x3402,x3403),x3404,x3403,x3402,a48),a57),x3401) % 2.46/2.54 [247]E(f43(f43(f38(x2471),x2472),f43(f43(f38(x2471),x2473),x2474)),f43(f43(f38(x2471),x2473),f43(f43(f38(x2471),x2472),x2474))) % 2.46/2.54 [302]E(f43(f43(f21(f54(x3021,a1)),f43(f43(f21(f54(x3021,a1)),x3022),x3023)),f43(f43(f38(x3021),x3024),f36(f54(x3021,a1)))),f43(f43(f21(f54(x3021,a1)),x3022),f43(f43(f38(x3021),x3024),x3023))) % 2.46/2.54 [304]P25(f45(f43(x3041,x3042),f42(x3041,f39(f54(x3043,a1)),x3043,x3044),x3044)) % 2.46/2.54 [310]E(f43(f43(f27(f54(x3101,a1)),f19(f36(f54(x3102,a1)),x3103,x3102,f54(x3101,a1))),x3104),x3104) % 2.46/2.54 [311]E(f43(f43(f28(f54(x3111,a1)),f9(f36(f54(x3112,a1)),x3113,x3112,f54(x3111,a1))),x3114),x3114) % 2.46/2.54 [321]E(f43(f43(f21(f54(x3211,a1)),f9(f36(f54(x3212,a1)),x3213,x3212,f54(x3211,a1))),x3214),f43(f43(f21(f54(x3211,a1)),f39(f54(x3211,a1))),x3214)) % 2.46/2.54 [272]E(f43(f43(f27(f54(x2721,a1)),x2722),f43(f43(f38(x2721),x2723),x2724)),f43(f43(f38(x2721),x2723),f43(f43(f27(f54(x2721,a1)),x2722),x2724))) % 2.46/2.54 [278]E(f43(f43(f27(f54(x2781,a1)),f43(f43(f38(x2781),x2782),x2783)),x2784),f43(f43(f38(x2781),x2782),f43(f43(f27(f54(x2781,a1)),x2783),x2784))) % 2.46/2.54 [282]E(f43(f43(f28(f54(x2821,a1)),f43(f43(f38(x2821),x2822),x2823)),f43(f43(f38(x2821),x2822),x2824)),f43(f43(f38(x2821),x2822),f43(f43(f28(f54(x2821,a1)),x2823),x2824))) % 2.46/2.54 [287]E(f43(f43(f27(f54(x2871,a1)),x2872),f43(f43(f27(f54(x2871,a1)),x2873),x2874)),f43(f43(f27(f54(x2871,a1)),x2873),f43(f43(f27(f54(x2871,a1)),x2872),x2874))) % 2.46/2.54 [288]E(f43(f43(f28(f54(x2881,a1)),x2882),f43(f43(f28(f54(x2881,a1)),x2883),x2884)),f43(f43(f28(f54(x2881,a1)),x2883),f43(f43(f28(f54(x2881,a1)),x2882),x2884))) % 2.46/2.54 [305]E(f43(f43(f28(f54(x3051,a1)),f43(f43(f27(f54(x3051,a1)),x3052),x3053)),f43(f43(f27(f54(x3051,a1)),x3052),x3054)),f43(f43(f27(f54(x3051,a1)),x3052),f43(f43(f28(f54(x3051,a1)),x3053),x3054))) % 2.46/2.54 [306]E(f43(f43(f28(f54(x3061,a1)),f43(f43(f21(f54(x3061,a1)),x3062),x3063)),f43(f43(f21(f54(x3061,a1)),x3062),x3064)),f43(f43(f21(f54(x3061,a1)),x3062),f43(f43(f27(f54(x3061,a1)),x3063),x3064))) % 2.46/2.54 [307]E(f43(f43(f27(f54(x3071,a1)),f43(f43(f21(f54(x3071,a1)),x3072),x3073)),f43(f43(f21(f54(x3071,a1)),x3072),x3074)),f43(f43(f21(f54(x3071,a1)),x3072),f43(f43(f28(f54(x3071,a1)),x3073),x3074))) % 2.46/2.54 [308]E(f43(f43(f27(f54(x3081,a1)),f43(f43(f28(f54(x3081,a1)),x3082),x3083)),f43(f43(f28(f54(x3081,a1)),x3082),x3084)),f43(f43(f28(f54(x3081,a1)),x3082),f43(f43(f27(f54(x3081,a1)),x3083),x3084))) % 2.46/2.54 [309]E(f43(f43(f21(f54(x3091,a1)),f43(f43(f28(f54(x3091,a1)),x3092),x3093)),f43(f43(f28(f54(x3091,a1)),x3092),x3094)),f43(f43(f28(f54(x3091,a1)),x3092),f43(f43(f21(f54(x3091,a1)),x3093),x3094))) % 2.46/2.54 [347]E(f43(f43(f28(f54(x3471,a1)),f43(f43(f28(f54(x3471,a1)),f43(f43(f27(f54(x3471,a1)),x3472),x3473)),f43(f43(f27(f54(x3471,a1)),x3473),x3474))),f43(f43(f27(f54(x3471,a1)),x3474),x3472)),f43(f43(f27(f54(x3471,a1)),f43(f43(f27(f54(x3471,a1)),f43(f43(f28(f54(x3471,a1)),x3472),x3473)),f43(f43(f28(f54(x3471,a1)),x3473),x3474))),f43(f43(f28(f54(x3471,a1)),x3474),x3472))) % 2.46/2.54 [299]E(f43(f43(f27(f54(x2991,a1)),f43(f43(f27(f54(x2991,a1)),x2992),x2993)),x2994),f43(f43(f27(f54(x2991,a1)),x2992),f43(f43(f27(f54(x2991,a1)),x2993),x2994))) % 2.46/2.54 [300]E(f43(f43(f21(f54(x3001,a1)),f43(f43(f28(f54(x3001,a1)),x3002),x3003)),x3004),f43(f43(f28(f54(x3001,a1)),x3002),f43(f43(f21(f54(x3001,a1)),x3003),x3004))) % 2.46/2.54 [301]E(f43(f43(f28(f54(x3011,a1)),f43(f43(f28(f54(x3011,a1)),x3012),x3013)),x3014),f43(f43(f28(f54(x3011,a1)),x3012),f43(f43(f28(f54(x3011,a1)),x3013),x3014))) % 2.46/2.54 [322]E(f43(f43(f28(f54(x3221,a1)),f43(f43(f27(f54(x3221,a1)),x3222),x3223)),f43(f43(f27(f54(x3221,a1)),x3224),x3223)),f43(f43(f27(f54(x3221,a1)),f43(f43(f28(f54(x3221,a1)),x3222),x3224)),x3223)) % 2.46/2.54 [323]E(f43(f43(f27(f54(x3231,a1)),f43(f43(f21(f54(x3231,a1)),x3232),x3233)),f43(f43(f21(f54(x3231,a1)),x3234),x3233)),f43(f43(f21(f54(x3231,a1)),f43(f43(f27(f54(x3231,a1)),x3232),x3234)),x3233)) % 2.46/2.54 [324]E(f43(f43(f27(f54(x3241,a1)),f43(f43(f28(f54(x3241,a1)),x3242),x3243)),f43(f43(f28(f54(x3241,a1)),x3244),x3243)),f43(f43(f28(f54(x3241,a1)),f43(f43(f27(f54(x3241,a1)),x3242),x3244)),x3243)) % 2.46/2.54 [325]E(f43(f43(f21(f54(x3251,a1)),f43(f43(f28(f54(x3251,a1)),x3252),x3253)),f43(f43(f28(f54(x3251,a1)),x3254),x3253)),f43(f43(f28(f54(x3251,a1)),f43(f43(f21(f54(x3251,a1)),x3252),x3254)),x3253)) % 2.46/2.54 [326]E(f43(f43(f21(f54(x3261,a1)),f43(f43(f28(f54(x3261,a1)),x3262),x3263)),f43(f43(f28(f54(x3261,a1)),x3264),x3263)),f43(f43(f21(f54(x3261,a1)),f43(f43(f28(f54(x3261,a1)),x3262),x3263)),x3264)) % 2.46/2.54 [331]E(f43(f43(f21(f54(x3311,a1)),f43(f43(f21(f54(x3311,a1)),x3312),f43(f43(f38(x3311),x3313),f36(f54(x3311,a1))))),x3314),f43(f43(f21(f54(x3311,a1)),x3312),f43(f43(f38(x3311),x3313),x3314))) % 2.46/2.54 [341]E(f33(f43(f43(f10(x3411,a1,a1),f43(f43(f7(a1,f54(a1,a1),x3411),a2),x3412)),x3413),x3414,x3411),f33(x3413,f33(x3412,x3414,x3411),x3411)) % 2.46/2.54 [367]~E(f15(x3671,x3672),f14(x3673,x3674,x3675)) % 2.46/2.54 [368]~E(f16(x3681,x3682),f14(x3683,x3684,x3685)) % 2.46/2.54 [369]~E(f14(x3691,x3692,x3693),f15(x3694,x3695)) % 2.46/2.54 [370]~E(f14(x3701,x3702,x3703),f16(x3704,x3705)) % 2.46/2.54 [297]E(f19(f43(f43(f38(x2971),x2972),x2973),x2974,x2971,f54(x2975,a1)),f43(f43(f27(f54(x2975,a1)),f43(x2974,x2972)),f19(x2973,x2974,x2971,f54(x2975,a1)))) % 2.46/2.54 [298]E(f9(f43(f43(f38(x2981),x2982),x2983),x2984,x2981,f54(x2985,a1)),f43(f43(f28(f54(x2985,a1)),f43(x2984,x2982)),f9(x2983,x2984,x2981,f54(x2985,a1)))) % 2.46/2.54 [334]E(f43(f43(f27(f54(x3341,a1)),f19(x3342,x3343,x3344,f54(x3341,a1))),f19(x3345,x3343,x3344,f54(x3341,a1))),f19(f43(f43(f27(f54(x3344,a1)),x3342),x3345),x3343,x3344,f54(x3341,a1))) % 2.46/2.54 [335]E(f43(f43(f28(f54(x3351,a1)),f9(x3352,x3353,x3354,f54(x3351,a1))),f9(x3355,x3353,x3354,f54(x3351,a1))),f9(f43(f43(f27(f54(x3354,a1)),x3352),x3355),x3353,x3354,f54(x3351,a1))) % 2.46/2.54 [348]P25(f43(f43(f46(f54(x3481,a1)),f42(x3482,f43(f43(f28(f54(x3483,a1)),x3484),x3485),x3483,x3481)),f43(f43(f28(f54(x3481,a1)),f42(x3482,x3484,x3483,x3481)),f42(x3482,x3485,x3483,x3481)))) % 2.46/2.54 [291]E(f42(x2911,f43(f43(f38(x2912),x2913),x2914),x2912,x2915),f43(f43(f38(x2915),f43(x2911,x2913)),f42(x2911,x2914,x2912,x2915))) % 2.46/2.54 [318]E(f42(f43(f43(f7(x3181,x3182,x3183),x3184),x3185),f39(f54(x3183,a1)),x3183,x3182),f42(x3184,f42(x3185,f39(f54(x3183,a1)),x3183,x3181),x3181,x3182)) % 2.46/2.54 [332]E(f43(f43(f27(f54(x3321,a1)),f42(x3322,x3323,x3324,x3321)),f42(x3322,x3325,x3324,x3321)),f42(x3322,f43(f43(f27(f54(x3324,a1)),x3323),x3325),x3324,x3321)) % 2.46/2.54 [349]P25(f43(f43(f46(f54(x3491,a1)),f43(f43(f21(f54(x3491,a1)),f42(x3492,x3493,x3494,x3491)),f42(x3492,x3495,x3494,x3491))),f42(x3492,f43(f43(f21(f54(x3494,a1)),x3493),x3495),x3494,x3491))) % 2.46/2.54 [327]E(f19(f42(x3271,x3272,x3273,x3274),x3275,x3274,f54(x3276,a1)),f19(x3272,f43(f43(f7(x3274,f54(x3276,a1),x3273),x3275),x3271),x3273,f54(x3276,a1))) % 2.46/2.54 [328]E(f9(f42(x3281,x3282,x3283,x3284),x3285,x3284,f54(x3286,a1)),f9(x3282,f43(f43(f7(x3284,f54(x3286,a1),x3283),x3285),x3281),x3283,f54(x3286,a1))) % 2.46/2.54 [329]E(f19(x3291,f43(f43(f7(x3292,f54(x3293,a1),x3294),x3295),x3296),x3294,f54(x3293,a1)),f19(f42(x3296,x3291,x3294,x3292),x3295,x3292,f54(x3293,a1))) % 2.46/2.54 [330]E(f9(x3301,f43(f43(f7(x3302,f54(x3303,a1),x3304),x3305),x3306),x3304,f54(x3303,a1)),f9(f42(x3306,x3301,x3304,x3302),x3305,x3302,f54(x3303,a1))) % 2.46/2.54 [339]E(f43(f23(x3391,x3392,x3393,x3394,x3395),x3396),f43(x3391,f43(x3392,x3396))) % 2.46/2.54 [343]E(f42(f23(x3431,x3432,x3433,x3434,x3435),x3436,x3435,x3434),f42(x3431,f42(x3432,x3436,x3435,x3433),x3433,x3434)) % 2.46/2.54 [295]E(f43(f43(f8(x2951,x2952,x2953,x2954),x2955),x2956),f43(f43(x2951,x2956),x2955)) % 2.46/2.54 [268]E(f43(f43(f43(f7(x2681,x2682,x2683),x2684),x2685),x2686),f43(x2684,f43(x2685,x2686))) % 2.46/2.54 [274]E(f43(f43(f43(f10(x2741,x2742,x2743),x2744),x2745),x2746),f43(f43(x2744,x2746),f43(x2745,x2746))) % 2.46/2.54 [315]E(f42(x3151,f42(x3152,x3153,x3154,x3155),x3155,x3156),f42(f43(f43(f7(x3155,x3156,x3154),x3151),x3152),x3153,x3154,x3156)) % 2.46/2.54 [345]E(f23(x3451,f23(x3452,x3453,x3454,x3455,x3456),x3455,x3457,x3456),f23(f23(x3451,x3452,x3455,x3457,x3454),x3453,x3454,x3457,x3456)) % 2.46/2.54 [825]~P3(x8251)+P5(f18(x8251),f17(x8251),f8(f46(x8251),x8251,x8251,a1),f8(f4(x8251),x8251,x8251,a1),f27(x8251),f28(x8251),f39(x8251),f36(x8251),x8251) % 2.46/2.54 [408]~P17(x4081)+E(f43(f36(f54(a48,x4081)),a57),f36(x4081)) % 2.46/2.54 [409]~P24(x4091)+E(f43(f39(f54(a48,x4091)),a57),f39(x4091)) % 2.46/2.54 [412]~P3(x4121)+E(f43(f17(x4121),f36(f54(x4121,a1))),f39(x4121)) % 2.46/2.54 [413]~P3(x4131)+E(f43(f17(x4131),f39(f54(x4131,a1))),f36(x4131)) % 2.46/2.54 [414]~P3(x4141)+E(f43(f18(x4141),f36(f54(x4141,a1))),f36(x4141)) % 2.46/2.54 [415]~P3(x4151)+E(f43(f18(x4151),f39(f54(x4151,a1))),f39(x4151)) % 2.46/2.54 [380]~P11(x3802)+P4(x3801,x3802) % 2.46/2.54 [379]E(x3791,x3792)+~E(f12(x3791),f12(x3792)) % 2.46/2.54 [381]~P13(x3812)+P1(f54(x3811,x3812)) % 2.46/2.54 [382]~P15(x3822)+P15(f54(x3821,x3822)) % 2.46/2.54 [383]~P16(x3832)+P16(f54(x3831,x3832)) % 2.46/2.54 [384]~P2(x3842)+P2(f54(x3841,x3842)) % 2.46/2.54 [385]~P13(x3852)+P13(f54(x3851,x3852)) % 2.46/2.54 [386]~P3(x3862)+P3(f54(x3861,x3862)) % 2.46/2.54 [387]~P13(x3872)+P14(f54(x3871,x3872)) % 2.46/2.54 [388]~P9(x3882)+P9(f54(x3881,x3882)) % 2.46/2.54 [389]~P10(x3892)+P10(f54(x3891,x3892)) % 2.46/2.54 [390]~P24(x3902)+P24(f54(x3901,x3902)) % 2.46/2.54 [391]~P12(x3912)+P12(f54(x3911,x3912)) % 2.46/2.54 [392]~P17(x3922)+P17(f54(x3921,x3922)) % 2.46/2.54 [401]~P9(x4011)+E(f43(f43(f27(x4011),x4012),f36(x4011)),x4012) % 2.46/2.54 [402]~P9(x4021)+E(f43(f43(f28(x4021),x4022),f39(x4021)),x4022) % 2.46/2.54 [403]~P9(x4031)+E(f43(f43(f27(x4031),x4032),f39(x4031)),f39(x4031)) % 2.46/2.54 [404]~P9(x4041)+E(f43(f43(f28(x4041),x4042),f36(x4041)),f36(x4041)) % 2.46/2.54 [430]~P24(x4301)+P25(f43(f43(f46(x4301),x4302),f39(x4301))) % 2.46/2.54 [398]~P18(x3981)+E(f43(f43(f30(x3981),x3982),x3982),x3982) % 2.46/2.54 [399]~P1(x3991)+E(f43(f43(f27(x3991),x3992),x3992),x3992) % 2.46/2.54 [400]~P14(x4001)+E(f43(f43(f28(x4001),x4002),x4002),x4002) % 2.46/2.54 [405]~P9(x4051)+E(f43(f43(f27(x4051),f36(x4051)),x4052),x4052) % 2.46/2.54 [406]~P9(x4061)+E(f43(f43(f28(x4061),f39(x4061)),x4062),x4062) % 2.46/2.54 [410]~P9(x4101)+E(f43(f43(f27(x4101),f39(x4101)),x4102),f39(x4101)) % 2.46/2.54 [411]~P9(x4111)+E(f43(f43(f28(x4111),f36(x4111)),x4112),f36(x4111)) % 2.46/2.54 [428]~P15(x4281)+P25(f43(f43(f46(x4281),x4282),x4282)) % 2.46/2.54 [429]~P16(x4291)+P25(f43(f43(f46(x4291),x4292),x4292)) % 2.46/2.54 [431]~P17(x4311)+P25(f43(f43(f46(x4311),f36(x4311)),x4312)) % 2.46/2.54 [437]~P16(x4372)+E(f41(x4371,x4371,x4372),f43(f43(f38(x4372),x4371),f36(f54(x4372,a1)))) % 2.46/2.54 [444]~P15(x4441)+~P25(f43(f43(f4(x4441),x4442),x4442)) % 2.46/2.54 [445]~P16(x4451)+~P25(f43(f43(f4(x4451),x4452),x4452)) % 2.46/2.54 [446]~P23(x4461)+~P25(f43(f43(f4(x4461),x4462),x4462)) % 2.46/2.54 [608]E(x6081,f36(f54(x6082,a1)))+~P25(f43(f43(f46(f54(x6082,a1)),x6081),f36(f54(x6082,a1)))) % 2.46/2.54 [475]~P23(x4751)+E(f24(f43(f43(f38(x4751),x4752),f36(f54(x4751,a1))),x4751),x4752) % 2.46/2.54 [476]~P23(x4761)+E(f25(f43(f43(f38(x4761),x4762),f36(f54(x4761,a1))),x4761),x4762) % 2.46/2.54 [481]~P3(x4811)+E(f43(f17(x4811),f43(f43(f38(x4811),x4812),f36(f54(x4811,a1)))),x4812) % 2.46/2.54 [482]~P3(x4821)+E(f43(f18(x4821),f43(f43(f38(x4821),x4822),f36(f54(x4821,a1)))),x4822) % 2.46/2.54 [434]~P25(f43(x4342,x4341))+P25(f45(x4341,x4342,x4343)) % 2.46/2.54 [453]P25(f43(x4531,x4532))+~P25(f45(x4532,x4531,x4533)) % 2.46/2.54 [416]~P25(f43(x4161,x4163))+~E(x4161,f36(f54(x4162,a1))) % 2.46/2.54 [417]~P25(f43(x4172,x4173))+~E(f36(f54(x4171,a1)),x4172) % 2.46/2.54 [423]~P26(x4231)+E(f43(f43(f30(x4231),x4232),x4233),f43(f43(f30(x4231),x4233),x4232)) % 2.46/2.54 [424]~P1(x4241)+E(f43(f43(f27(x4241),x4242),x4243),f43(f43(f27(x4241),x4243),x4242)) % 2.46/2.54 [425]~P13(x4251)+E(f43(f43(f27(x4251),x4252),x4253),f43(f43(f27(x4251),x4253),x4252)) % 2.46/2.54 [426]~P13(x4261)+E(f43(f43(f28(x4261),x4262),x4263),f43(f43(f28(x4261),x4263),x4262)) % 2.46/2.54 [427]~P14(x4271)+E(f43(f43(f28(x4271),x4272),x4273),f43(f43(f28(x4271),x4273),x4272)) % 2.46/2.54 [432]~P4(x4323,x4321)+P4(f43(f43(f38(x4321),x4322),x4323),x4321) % 2.46/2.54 [438]E(x4381,x4382)+~P25(f43(f43(f44(x4383),x4381),x4382)) % 2.46/2.54 [449]P4(x4491,x4492)+~P4(f43(f43(f38(x4492),x4493),x4491),x4492) % 2.46/2.54 [474]~P25(f45(x4742,x4743,x4741))+E(f43(f43(f38(x4741),x4742),x4743),x4743) % 2.46/2.54 [512]E(x5121,x5122)+~E(f43(f43(f38(x5123),x5121),f36(f54(x5123,a1))),f43(f43(f38(x5123),x5122),f36(f54(x5123,a1)))) % 2.46/2.54 [435]~P13(x4351)+E(f43(f43(f27(x4351),x4352),f43(f43(f28(x4351),x4352),x4353)),x4352) % 2.46/2.54 [436]~P13(x4361)+E(f43(f43(f28(x4361),x4362),f43(f43(f27(x4361),x4362),x4363)),x4362) % 2.46/2.54 [454]~P18(x4541)+E(f43(f43(f30(x4541),x4542),f43(f43(f30(x4541),x4542),x4543)),f43(f43(f30(x4541),x4542),x4543)) % 2.46/2.54 [455]~P1(x4551)+E(f43(f43(f27(x4551),x4552),f43(f43(f27(x4551),x4552),x4553)),f43(f43(f27(x4551),x4552),x4553)) % 2.46/2.54 [456]~P13(x4561)+E(f43(f43(f27(x4561),x4562),f43(f43(f27(x4561),x4562),x4563)),f43(f43(f27(x4561),x4562),x4563)) % 2.46/2.54 [457]~P13(x4571)+E(f43(f43(f28(x4571),x4572),f43(f43(f28(x4571),x4572),x4573)),f43(f43(f28(x4571),x4572),x4573)) % 2.46/2.54 [458]~P14(x4581)+E(f43(f43(f28(x4581),x4582),f43(f43(f28(x4581),x4582),x4583)),f43(f43(f28(x4581),x4582),x4583)) % 2.46/2.54 [459]~P3(x4591)+E(f43(f43(f28(x4591),x4592),f43(f17(x4591),x4593)),f43(f17(x4591),f43(f43(f38(x4591),x4592),x4593))) % 2.46/2.54 [460]~P3(x4601)+E(f43(f43(f27(x4601),x4602),f43(f18(x4601),x4603)),f43(f18(x4601),f43(f43(f38(x4601),x4602),x4603))) % 2.46/2.54 [496]E(x4961,f36(f54(x4962,a1)))+~E(f43(f43(f27(f54(x4962,a1)),x4963),x4961),f36(f54(x4962,a1))) % 2.46/2.54 [497]E(x4971,f36(f54(x4972,a1)))+~E(f43(f43(f27(f54(x4972,a1)),x4971),x4973),f36(f54(x4972,a1))) % 2.46/2.54 [505]~P1(x5051)+P25(f43(f43(f46(x5051),x5052),f43(f43(f27(x5051),x5053),x5052))) % 2.46/2.54 [506]~P13(x5061)+P25(f43(f43(f46(x5061),x5062),f43(f43(f27(x5061),x5063),x5062))) % 2.46/2.54 [507]~P1(x5071)+P25(f43(f43(f46(x5071),x5072),f43(f43(f27(x5071),x5072),x5073))) % 2.46/2.54 [508]~P13(x5081)+P25(f43(f43(f46(x5081),x5082),f43(f43(f27(x5081),x5082),x5083))) % 2.46/2.54 [509]~P4(x5092,x5091)+P4(f43(f43(f21(f54(x5091,a1)),x5092),x5093),x5091) % 2.46/2.54 [510]~P4(x5103,x5101)+P4(f43(f43(f28(f54(x5101,a1)),x5102),x5103),x5101) % 2.46/2.54 [511]~P4(x5112,x5111)+P4(f43(f43(f28(f54(x5111,a1)),x5112),x5113),x5111) % 2.46/2.54 [536]E(f43(f43(f21(f54(x5361,a1)),x5362),x5363),x5362)+~E(f43(f43(f28(f54(x5361,a1)),x5362),x5363),f36(f54(x5361,a1))) % 2.46/2.54 [566]P4(x5661,x5662)+~P4(f43(f43(f27(f54(x5662,a1)),x5663),x5661),x5662) % 2.46/2.54 [567]P4(x5671,x5672)+~P4(f43(f43(f27(f54(x5672,a1)),x5671),x5673),x5672) % 2.46/2.54 [579]~E(f43(f43(f27(f54(x5791,a1)),x5792),x5793),x5793)+P25(f43(f43(f46(f54(x5791,a1)),x5792),x5793)) % 2.46/2.54 [593]E(f43(f43(f27(f54(x5931,a1)),x5932),x5933),x5933)+~P25(f43(f43(f46(f54(x5931,a1)),x5932),x5933)) % 2.46/2.54 [594]E(f43(f43(f27(f54(x5941,a1)),x5942),x5943),x5942)+~P25(f43(f43(f46(f54(x5941,a1)),x5943),x5942)) % 2.46/2.54 [595]E(f43(f43(f28(f54(x5951,a1)),x5952),x5953),x5953)+~P25(f43(f43(f46(f54(x5951,a1)),x5953),x5952)) % 2.46/2.54 [596]E(f43(f43(f28(f54(x5961,a1)),x5962),x5963),x5962)+~P25(f43(f43(f46(f54(x5961,a1)),x5962),x5963)) % 2.46/2.54 [614]P25(f45(x6142,x6143,x6141))+E(f43(f43(f21(f54(x6141,a1)),f43(f43(f38(x6141),x6142),x6143)),f43(f43(f38(x6141),x6142),f36(f54(x6141,a1)))),x6143) % 2.46/2.54 [651]E(x6511,x6512)+~P25(f45(x6511,f43(f43(f38(x6513),x6512),f36(f54(x6513,a1))),x6513)) % 2.46/2.54 [664]E(x6641,f32(f43(f43(f38(x6642),x6643),f36(f54(x6642,a1))),x6642))+~P25(f43(f43(f43(f38(x6642),x6643),f36(f54(x6642,a1))),x6641)) % 2.46/2.54 [546]~P13(x5461)+E(f43(f43(f43(f27(f54(a48,x5461)),x5462),x5463),a57),f43(f43(f27(x5461),f43(x5462,a57)),f43(x5463,a57))) % 2.46/2.54 [547]~P10(x5471)+E(f43(f43(f43(f21(f54(a48,x5471)),x5472),x5473),a57),f43(f43(f21(x5471),f43(x5472,a57)),f43(x5473,a57))) % 2.46/2.54 [548]~P13(x5481)+E(f43(f43(f43(f28(f54(a48,x5481)),x5482),x5483),a57),f43(f43(f28(x5481),f43(x5482,a57)),f43(x5483,a57))) % 2.46/2.54 [584]~P13(x5841)+P25(f43(f43(f46(x5841),f43(f43(f28(x5841),x5842),x5843)),x5843)) % 2.46/2.54 [585]~P14(x5851)+P25(f43(f43(f46(x5851),f43(f43(f28(x5851),x5852),x5853)),x5853)) % 2.46/2.54 [586]~P13(x5861)+P25(f43(f43(f46(x5861),f43(f43(f28(x5861),x5862),x5863)),x5862)) % 2.46/2.54 [587]~P14(x5871)+P25(f43(f43(f46(x5871),f43(f43(f28(x5871),x5872),x5873)),x5872)) % 2.46/2.54 [591]~P3(x5911)+E(f43(f17(x5911),f43(f43(f38(x5911),x5912),f43(f43(f38(x5911),x5913),f36(f54(x5911,a1))))),f43(f43(f28(x5911),x5912),x5913)) % 2.46/2.54 [592]~P3(x5921)+E(f43(f18(x5921),f43(f43(f38(x5921),x5922),f43(f43(f38(x5921),x5923),f36(f54(x5921,a1))))),f43(f43(f27(x5921),x5922),x5923)) % 2.46/2.54 [660]E(f43(f43(f27(f54(x6601,a1)),x6602),f43(f43(f21(f54(x6601,a1)),x6603),x6602)),x6603)+~P25(f43(f43(f46(f54(x6601,a1)),x6602),x6603)) % 2.46/2.54 [670]~P25(f45(x6702,x6703,x6701))+E(f43(f43(f38(x6701),x6702),f43(f43(f21(f54(x6701,a1)),x6703),f43(f43(f38(x6701),x6702),f36(f54(x6701,a1))))),x6703) % 2.46/2.54 [737]P25(f43(x7373,x7372))+E(f43(f43(f10(x7371,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7371),a2),f43(f44(x7371),x7372))),x7373),f36(f54(x7371,a1))) % 2.46/2.54 [743]~P25(f43(x7433,x7432))+E(f43(f43(f10(x7431,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7431),a2),f43(f44(x7431),x7432))),x7433),f43(f43(f38(x7431),x7432),f36(f54(x7431,a1)))) % 2.46/2.54 [770]~P4(x7703,x7701)+P4(f43(f43(f10(x7701,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7701),a2),x7702)),x7703),x7701) % 2.46/2.54 [771]~P4(x7712,x7711)+P4(f43(f43(f10(x7711,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7711),a2),x7712)),x7713),x7711) % 2.46/2.54 [788]P4(x7881,x7882)+~P4(f43(f43(f10(x7882,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7882),a47),x7883)),x7881),x7882) % 2.46/2.54 [789]P4(x7891,x7892)+~P4(f43(f43(f10(x7892,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7892),a47),x7891)),x7893),x7892) % 2.46/2.54 [797]P25(f43(x7973,x7972))+E(f43(f43(f10(x7971,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7971),a2),f43(f8(f44(x7971),x7971,x7971,a1),x7972))),x7973),f36(f54(x7971,a1))) % 2.46/2.54 [799]~P25(f43(x7993,x7992))+E(f43(f43(f10(x7991,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7991),a2),f43(f8(f44(x7991),x7991,x7991,a1),x7992))),x7993),f43(f43(f38(x7991),x7992),f36(f54(x7991,a1)))) % 2.46/2.54 [394]E(x3941,x3942)+~E(f15(x3943,x3941),f15(x3944,x3942)) % 2.46/2.54 [395]E(x3951,x3952)+~E(f16(x3953,x3951),f16(x3954,x3952)) % 2.46/2.54 [396]E(x3961,x3962)+~E(f15(x3961,x3963),f15(x3962,x3964)) % 2.46/2.54 [397]E(x3971,x3972)+~E(f16(x3971,x3973),f16(x3972,x3974)) % 2.46/2.54 [588]~P4(x5882,x5883)+P4(f42(x5881,x5882,x5883,x5884),x5884) % 2.46/2.54 [562]E(f19(x5621,f6(x5623,f54(x5624,a1),x5622),x5622,f54(x5624,a1)),x5623)+E(x5621,f36(f54(x5622,a1))) % 2.46/2.54 [563]E(f9(x5631,f6(x5633,f54(x5634,a1),x5632),x5632,f54(x5634,a1)),x5633)+E(x5631,f36(f54(x5632,a1))) % 2.46/2.54 [565]~E(f42(x5653,x5651,x5652,x5654),f36(f54(x5654,a1)))+E(x5651,f36(f54(x5652,a1))) % 2.46/2.54 [572]E(x5721,f36(f54(x5722,a1)))+E(f42(f6(x5723,x5724,x5722),x5721,x5722,x5724),f43(f43(f38(x5724),x5723),f36(f54(x5724,a1)))) % 2.46/2.54 [487]~P25(f43(x4873,x4874))+P25(f43(f43(f43(f38(x4871),x4872),x4873),x4874)) % 2.46/2.54 [500]~P26(x5001)+E(f43(f43(f30(x5001),x5002),f43(f43(f30(x5001),x5003),x5004)),f43(f43(f30(x5001),x5003),f43(f43(f30(x5001),x5002),x5004))) % 2.46/2.54 [501]~P1(x5011)+E(f43(f43(f27(x5011),x5012),f43(f43(f27(x5011),x5013),x5014)),f43(f43(f27(x5011),x5013),f43(f43(f27(x5011),x5012),x5014))) % 2.46/2.54 [502]~P13(x5021)+E(f43(f43(f27(x5021),x5022),f43(f43(f27(x5021),x5023),x5024)),f43(f43(f27(x5021),x5023),f43(f43(f27(x5021),x5022),x5024))) % 2.46/2.54 [503]~P13(x5031)+E(f43(f43(f28(x5031),x5032),f43(f43(f28(x5031),x5033),x5034)),f43(f43(f28(x5031),x5033),f43(f43(f28(x5031),x5032),x5034))) % 2.46/2.54 [504]~P14(x5041)+E(f43(f43(f28(x5041),x5042),f43(f43(f28(x5041),x5043),x5044)),f43(f43(f28(x5041),x5043),f43(f43(f28(x5041),x5042),x5044))) % 2.46/2.54 [574]~P25(f45(x5741,x5744,x5742))+P25(f45(x5741,f43(f43(f38(x5742),x5743),x5744),x5742)) % 2.46/2.54 [577]P25(f45(x5773,x5772,x5771))+E(f43(f43(f28(f54(x5771,a1)),x5772),f43(f43(f38(x5771),x5773),x5774)),f43(f43(f28(f54(x5771,a1)),x5772),x5774)) % 2.46/2.54 [582]~P2(x5821)+E(f43(f43(f28(x5821),f43(f43(f27(x5821),x5822),x5823)),f43(f43(f27(x5821),x5822),x5824)),f43(f43(f27(x5821),x5822),f43(f43(f28(x5821),x5823),x5824))) % 2.46/2.54 [583]~P2(x5831)+E(f43(f43(f27(x5831),f43(f43(f28(x5831),x5832),x5833)),f43(f43(f28(x5831),x5832),x5834)),f43(f43(f28(x5831),x5832),f43(f43(f27(x5831),x5833),x5834))) % 2.46/2.54 [672]~P25(f43(f43(f46(f54(x6721,a1)),x6722),x6724))+P25(f43(f43(f46(f54(x6721,a1)),x6722),f43(f43(f38(x6721),x6723),x6724))) % 2.46/2.54 [677]~P4(f43(f43(f21(f54(x6771,a1)),x6772),x6774),x6771)+P4(f43(f43(f21(f54(x6771,a1)),x6772),f43(f43(f38(x6771),x6773),x6774)),x6771) % 2.46/2.54 [689]~P4(f43(f43(f21(f54(x6891,a1)),x6892),f43(f43(f38(x6891),x6894),x6893)),x6891)+P4(f43(f43(f21(f54(x6891,a1)),x6892),x6893),x6891) % 2.46/2.54 [718]~P25(f43(f43(f46(f54(x7181,a1)),x7183),x7184))+P25(f43(f43(f46(f54(x7181,a1)),f43(f43(f38(x7181),x7182),x7183)),f43(f43(f38(x7181),x7182),x7184))) % 2.46/2.54 [792]P6(x7922,f43(f43(f38(f50(a48)),f29(x7921,x7924,x7923,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x7921,f60(x7922,x7921,x7923,x7924)),f68(x7922,x7921,x7923,x7924))) % 2.46/2.54 [793]P6(x7932,f43(f43(f38(f50(a48)),f29(x7931,x7934,x7933,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x7931,f69(x7932,x7931,x7933,x7934)),f73(x7932,x7931,x7933,x7934))) % 2.46/2.54 [794]P6(x7942,f43(f43(f38(f50(a48)),f29(x7941,x7944,x7943,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x7941,f70(x7942,x7941,x7943,x7944)),f71(x7942,x7941,x7943,x7944))) % 2.46/2.54 [822]P6(x8221,f43(f43(f38(f50(a48)),f29(x8222,x8223,x8224,a48)),f36(f54(f50(a48),a1))),a48)+~P6(x8221,f43(f43(f38(f50(a48)),f29(f6(f43(f8(f44(a51),a51,a51,a1),f68(x8221,x8222,x8224,x8223)),f54(a51,a1),a48),x8223,f6(f43(x8224,f60(x8221,x8222,x8224,x8223)),f54(a51,a1),a48),a48)),f36(f54(f50(a48),a1))),a48) % 2.46/2.54 [824]~P4(x8244,x8241)+P4(f43(f43(f7(f54(x8241,a1),a1,x8242),f20(x8241)),f43(f8(f43(f43(f7(f54(x8241,f54(a1,a1)),f54(f54(x8241,a1),f54(x8241,a1)),x8242),f10(x8241,a1,a1)),f43(f43(f7(f54(x8241,a1),f54(x8241,f54(a1,a1)),x8242),f43(f7(a1,f54(a1,a1),x8241),a2)),f43(f8(f43(f43(f7(f54(x8242,a1),f54(f54(x8241,x8242),f54(x8241,a1)),x8242),f7(x8242,a1,x8241)),f44(x8242)),x8242,f54(x8241,x8242),f54(x8241,a1)),x8243))),x8242,f54(x8241,a1),f54(x8241,a1)),x8244)),x8242) % 2.46/2.54 [540]~P26(x5401)+E(f43(f43(f30(x5401),f43(f43(f30(x5401),x5402),x5403)),x5404),f43(f43(f30(x5401),x5402),f43(f43(f30(x5401),x5403),x5404))) % 2.46/2.54 [541]~P20(x5411)+E(f43(f43(f30(x5411),f43(f43(f30(x5411),x5412),x5413)),x5414),f43(f43(f30(x5411),x5412),f43(f43(f30(x5411),x5413),x5414))) % 2.46/2.54 [542]~P1(x5421)+E(f43(f43(f27(x5421),f43(f43(f27(x5421),x5422),x5423)),x5424),f43(f43(f27(x5421),x5422),f43(f43(f27(x5421),x5423),x5424))) % 2.46/2.54 [543]~P13(x5431)+E(f43(f43(f27(x5431),f43(f43(f27(x5431),x5432),x5433)),x5434),f43(f43(f27(x5431),x5432),f43(f43(f27(x5431),x5433),x5434))) % 2.46/2.54 [544]~P13(x5441)+E(f43(f43(f28(x5441),f43(f43(f28(x5441),x5442),x5443)),x5444),f43(f43(f28(x5441),x5442),f43(f43(f28(x5441),x5443),x5444))) % 2.46/2.54 [545]~P14(x5451)+E(f43(f43(f28(x5451),f43(f43(f28(x5451),x5452),x5453)),x5454),f43(f43(f28(x5451),x5452),f43(f43(f28(x5451),x5453),x5454))) % 2.46/2.54 [581]~P26(x5811)+E(f43(f43(f30(x5811),f43(f43(f30(x5811),x5812),x5813)),x5814),f43(f43(f30(x5811),f43(f43(f30(x5811),x5812),x5814)),x5813)) % 2.46/2.54 [601]P25(f45(x6012,x6014,x6011))+E(f43(f43(f28(f54(x6011,a1)),f43(f43(f38(x6011),x6012),x6013)),x6014),f43(f43(f28(f54(x6011,a1)),x6013),x6014)) % 2.46/2.54 [605]~P2(x6051)+E(f43(f43(f28(x6051),f43(f43(f27(x6051),x6052),x6053)),f43(f43(f27(x6051),x6054),x6053)),f43(f43(f27(x6051),f43(f43(f28(x6051),x6052),x6054)),x6053)) % 2.46/2.54 [606]~P2(x6061)+E(f43(f43(f27(x6061),f43(f43(f28(x6061),x6062),x6063)),f43(f43(f28(x6061),x6064),x6063)),f43(f43(f28(x6061),f43(f43(f27(x6061),x6062),x6064)),x6063)) % 2.46/2.54 [609]~P25(f43(x6093,x6094))+P25(f43(f43(f43(f27(f54(x6091,a1)),x6092),x6093),x6094)) % 2.46/2.54 [610]~P25(f43(x6102,x6104))+P25(f43(f43(f43(f27(f54(x6101,a1)),x6102),x6103),x6104)) % 2.46/2.54 [615]~P25(f45(x6152,x6154,x6151))+E(f43(f43(f21(f54(x6151,a1)),f43(f43(f38(x6151),x6152),x6153)),x6154),f43(f43(f21(f54(x6151,a1)),x6153),x6154)) % 2.46/2.54 [632]~P25(f45(x6323,x6322,x6321))+E(f43(f43(f28(f54(x6321,a1)),x6322),f43(f43(f38(x6321),x6323),x6324)),f43(f43(f38(x6321),x6323),f43(f43(f28(f54(x6321,a1)),x6322),x6324))) % 2.46/2.54 [644]P25(f45(x6442,x6444,x6441))+E(f43(f43(f21(f54(x6441,a1)),f43(f43(f38(x6441),x6442),x6443)),x6444),f43(f43(f38(x6441),x6442),f43(f43(f21(f54(x6441,a1)),x6443),x6444))) % 2.46/2.54 [653]~P25(f45(x6531,x6534,x6532))+P25(f45(x6531,f43(f43(f27(f54(x6532,a1)),x6533),x6534),x6532)) % 2.46/2.54 [654]~P25(f45(x6541,x6543,x6542))+P25(f45(x6541,f43(f43(f27(f54(x6542,a1)),x6543),x6544),x6542)) % 2.46/2.54 [659]~P25(f45(x6592,x6594,x6591))+E(f43(f43(f28(f54(x6591,a1)),f43(f43(f38(x6591),x6592),x6593)),x6594),f43(f43(f38(x6591),x6592),f43(f43(f28(f54(x6591,a1)),x6593),x6594))) % 2.46/2.54 [675]P25(f43(x6751,x6752))+~P25(f43(f43(f43(f28(f54(x6753,a1)),x6754),x6751),x6752)) % 2.46/2.54 [676]P25(f43(x6761,x6762))+~P25(f43(f43(f43(f28(f54(x6763,a1)),x6761),x6764),x6762)) % 2.46/2.54 [691]P25(f43(x6911,x6912))+~P25(f45(x6912,f43(f43(f28(f54(x6913,a1)),x6914),x6911),x6913)) % 2.46/2.54 [697]P25(f45(x6971,x6972,x6973))+~P25(f45(x6971,f43(f43(f21(f54(x6973,a1)),x6972),x6974),x6973)) % 2.46/2.54 [698]P25(f45(x6981,x6982,x6983))+~P25(f45(x6981,f43(f43(f28(f54(x6983,a1)),x6984),x6982),x6983)) % 2.46/2.54 [700]P25(f45(x7001,x7002,x7003))+~P25(f45(x7001,f43(f43(f28(f54(x7003,a1)),x7002),x7004),x7003)) % 2.46/2.54 [703]P25(f45(x7031,x7032,x7033))+~P25(f43(f43(f46(f54(x7033,a1)),f43(f43(f38(x7033),x7031),x7034)),x7032)) % 2.46/2.54 [705]~P25(f45(x7051,x7052,x7053))+~P25(f45(x7051,f43(f43(f21(f54(x7053,a1)),x7054),x7052),x7053)) % 2.46/2.54 [721]P25(f43(f43(f46(f54(x7211,a1)),x7212),x7213))+~P25(f43(f43(f46(f54(x7211,a1)),f43(f43(f38(x7211),x7214),x7212)),x7213)) % 2.46/2.54 [731]P25(f43(f43(f46(f54(x7311,a1)),x7312),x7313))+~P25(f43(f43(f46(f54(x7311,a1)),x7312),f43(f43(f28(f54(x7311,a1)),x7314),x7313))) % 2.46/2.54 [732]P25(f43(f43(f46(f54(x7321,a1)),x7322),x7323))+~P25(f43(f43(f46(f54(x7321,a1)),x7322),f43(f43(f28(f54(x7321,a1)),x7323),x7324))) % 2.46/2.54 [736]E(x7361,x7362)+~P25(f43(f22(x7363,f43(f43(f38(x7364),x7361),f36(f54(x7364,a1))),x7364),x7362)) % 2.46/2.54 [765]~P13(x7651)+P25(f43(f43(f46(x7651),f43(f43(f27(x7651),x7652),f43(f43(f28(x7651),x7653),x7654))),f43(f43(f28(x7651),f43(f43(f27(x7651),x7652),x7653)),f43(f43(f27(x7651),x7652),x7654)))) % 2.46/2.54 [776]~P13(x7761)+P25(f43(f43(f46(x7761),f43(f43(f27(x7761),f43(f43(f28(x7761),x7762),x7763)),f43(f43(f28(x7761),x7762),x7764))),f43(f43(f28(x7761),x7762),f43(f43(f27(x7761),x7763),x7764)))) % 2.46/2.54 [727]E(f43(f43(f27(f54(x7271,a1)),f43(f43(f28(f54(x7271,a1)),x7272),x7273)),x7274),f43(f43(f28(f54(x7271,a1)),x7272),f43(f43(f27(f54(x7271,a1)),x7273),x7274)))+~P25(f43(f43(f46(f54(x7271,a1)),x7274),x7272)) % 2.46/2.54 [749]~E(f43(f43(f27(f54(x7491,a1)),f43(f43(f28(f54(x7491,a1)),x7493),x7494)),x7492),f43(f43(f28(f54(x7491,a1)),x7493),f43(f43(f27(f54(x7491,a1)),x7494),x7492)))+P25(f43(f43(f46(f54(x7491,a1)),x7492),x7493)) % 2.46/2.54 [758]P25(f43(f43(f46(f54(x7581,a1)),x7582),x7583))+~P25(f43(f43(f46(f54(x7581,a1)),f43(f43(f27(f54(x7581,a1)),x7584),x7582)),x7583)) % 2.46/2.54 [759]P25(f43(f43(f46(f54(x7591,a1)),x7592),x7593))+~P25(f43(f43(f46(f54(x7591,a1)),f43(f43(f27(f54(x7591,a1)),x7592),x7594)),x7593)) % 2.46/2.54 [766]~P25(f43(f43(f46(f54(x7661,a1)),x7662),f43(f43(f27(f54(x7661,a1)),x7663),x7664)))+P25(f43(f43(f46(f54(x7661,a1)),f43(f43(f21(f54(x7661,a1)),x7662),x7663)),x7664)) % 2.46/2.54 [772]P25(f43(f43(f46(f54(x7721,a1)),x7722),f43(f43(f27(f54(x7721,a1)),x7723),x7724)))+~P25(f43(f43(f46(f54(x7721,a1)),f43(f43(f21(f54(x7721,a1)),x7722),x7723)),x7724)) % 2.46/2.54 [679]~P25(f45(x6793,x6794,x6795))+E(f43(f43(f38(x6791),f43(x6792,x6793)),f42(x6792,x6794,x6795,x6791)),f42(x6792,x6794,x6795,x6791)) % 2.46/2.54 [712]~P25(f45(x7122,x7123,x7124))+P25(f45(f43(x7121,x7122),f42(x7121,x7123,x7124,x7125),x7125)) % 2.46/2.54 [764]~P25(f45(x7645,x7642,x7644))+P25(f43(f43(f46(f54(x7641,a1)),f9(x7642,x7643,x7644,f54(x7641,a1))),f43(x7643,x7645))) % 2.46/2.54 [607]~P25(f45(x6075,x6074,x6073))+E(f42(f6(x6071,x6072,x6073),x6074,x6073,x6072),f43(f43(f38(x6072),x6071),f36(f54(x6072,a1)))) % 2.46/2.54 [645]P7(x6451,x6452,x6453,x6454)+~P7(x6451,f43(f43(f38(x6453),x6455),x6452),x6453,x6454) % 2.46/2.54 [695]~P25(f45(x6953,x6954,x6955))+E(f43(f43(f27(f54(x6951,a1)),f43(x6952,x6953)),f19(x6954,x6952,x6955,f54(x6951,a1))),f19(x6954,x6952,x6955,f54(x6951,a1))) % 2.46/2.54 [696]~P25(f45(x6963,x6964,x6965))+E(f43(f43(f28(f54(x6961,a1)),f43(x6962,x6963)),f9(x6964,x6962,x6965,f54(x6961,a1))),f9(x6964,x6962,x6965,f54(x6961,a1))) % 2.46/2.54 [733]~P25(f45(x7333,x7334,x7335))+P25(f43(f43(f46(f54(x7331,a1)),f43(x7332,x7333)),f19(x7334,x7332,x7335,f54(x7331,a1)))) % 2.46/2.54 [760]~P4(f42(x7605,f39(f54(x7603,a1)),x7603,x7601),x7601)+P4(f42(f43(f43(f7(x7601,x7602,x7603),x7604),x7605),f39(f54(x7603,a1)),x7603,x7602),x7602) % 2.46/2.54 [627]~P26(x6271)+E(f43(f43(f30(x6271),f43(f43(f30(x6271),x6272),x6273)),f43(f43(f30(x6271),x6274),x6275)),f43(f43(f30(x6271),f43(f43(f30(x6271),x6272),x6274)),f43(f43(f30(x6271),x6273),x6275))) % 2.46/2.54 [665]~P7(x6651,x6653,x6652,x6655)+P7(x6651,f43(f43(f21(f54(x6652,a1)),x6653),x6654),x6652,x6655) % 2.46/2.54 [687]P7(x6871,x6872,x6873,x6874)+~P7(x6871,f43(f43(f27(f54(x6873,a1)),x6875),x6872),x6873,x6874) % 2.46/2.54 [688]P7(x6881,x6882,x6883,x6884)+~P7(x6881,f43(f43(f27(f54(x6883,a1)),x6882),x6885),x6883,x6884) % 2.46/2.54 [778]P25(f43(f43(f46(f54(x7781,a1)),f42(x7782,x7783,x7784,x7781)),f42(x7782,x7785,x7784,x7781)))+~P25(f43(f43(f46(f54(x7784,a1)),x7783),x7785)) % 2.46/2.54 [813]P6(x8131,f43(f43(f38(f50(x8132)),f29(x8133,f12(x8134),x8135,x8132)),f36(f54(f50(x8132),a1))),x8132)+~P6(f43(f43(f38(f50(x8132)),f29(x8133,f12(x8134),x8135,x8132)),x8131),f43(f43(f38(f50(x8132)),f29(x8133,f37(f13(x8134),a52),x8135,x8132)),f36(f54(f50(x8132),a1))),x8132) % 2.46/2.54 [820]~P6(x8201,f43(f43(f38(f50(x8202)),f29(f31(x8203,x8204,x8202),x8205,x8203,x8202)),f36(f54(f50(x8202),a1))),x8202)+P6(x8201,f43(f43(f38(f50(x8202)),f29(x8203,f16(x8204,x8205),f31(x8203,f23(a3,x8204,a1,a1,a51),x8202),x8202)),f36(f54(f50(x8202),a1))),x8202) % 2.46/2.54 [761]~P7(x7612,f39(f54(x7614,a1)),x7614,x7611)+E(f43(f43(f21(f54(x7611,a1)),f42(x7612,x7613,x7614,x7611)),f42(x7612,x7615,x7614,x7611)),f42(x7612,f43(f43(f21(f54(x7614,a1)),x7613),x7615),x7614,x7611)) % 2.46/2.54 [762]~P7(x7622,f39(f54(x7624,a1)),x7624,x7621)+E(f43(f43(f28(f54(x7621,a1)),f42(x7622,x7623,x7624,x7621)),f42(x7622,x7625,x7624,x7621)),f42(x7622,f43(f43(f28(f54(x7624,a1)),x7623),x7625),x7624,x7621)) % 2.46/2.54 [734]~P30(x7342)+E(f43(f43(f26(x7341,x7342),f43(f43(f7(x7342,x7342,x7341),f43(f30(x7342),x7343)),x7344)),x7345),f43(f43(f30(x7342),x7343),f43(f43(f26(x7341,x7342),x7344),x7345))) % 2.46/2.54 [783]~P7(x7832,f43(f43(f27(f54(x7833,a1)),x7834),x7835),x7833,x7831)+E(f43(f43(f28(f54(x7831,a1)),f42(x7832,f43(f43(f21(f54(x7833,a1)),x7834),x7835),x7833,x7831)),f42(x7832,f43(f43(f21(f54(x7833,a1)),x7835),x7834),x7833,x7831)),f36(f54(x7831,a1))) % 2.46/2.54 [807]~P7(x8071,f43(f43(f38(x8072),x8073),x8074),x8072,x8075)+~P25(f45(f43(x8071,x8073),f42(x8071,f43(f43(f21(f54(x8072,a1)),x8074),f43(f43(f38(x8072),x8073),f36(f54(x8072,a1)))),x8072,x8075),x8075)) % 2.46/2.54 [808]~P19(x8082)+E(f43(f43(f26(x8081,x8082),f43(f43(f10(x8081,x8082,x8082),f43(f43(f7(x8082,f54(x8082,x8082),x8081),f21(x8082)),x8083)),x8084)),x8085),f43(f43(f21(x8082),f43(f43(f26(x8081,x8082),x8083),x8085)),f43(f43(f26(x8081,x8082),x8084),x8085))) % 2.46/2.54 [809]~P30(x8092)+E(f43(f43(f26(x8091,x8092),f43(f8(f43(f43(f7(x8092,f54(x8092,x8092),x8091),f30(x8092)),x8093),x8091,x8092,x8092),x8094)),x8095),f43(f43(f30(x8092),f43(f43(f26(x8091,x8092),x8093),x8095)),x8094)) % 2.46/2.54 [439]E(x4391,x4392)+~E(f14(x4393,x4394,x4391),f14(x4395,x4396,x4392)) % 2.46/2.54 [440]E(x4401,x4402)+~E(f14(x4403,x4401,x4404),f14(x4405,x4402,x4406)) % 2.46/2.54 [441]E(x4411,x4412)+~E(f14(x4411,x4413,x4414),f14(x4412,x4415,x4416)) % 2.46/2.54 [790]~P7(f23(x7901,x7902,x7905,x7906,x7904),x7903,x7904,x7906)+P7(x7901,f42(x7902,x7903,x7904,x7905),x7905,x7906) % 2.46/2.54 [817]~P22(x8172)+E(f43(f43(f26(x8171,x8172),f43(f8(f43(f43(f7(f54(x8173,x8172),f54(f54(x8173,a1),x8172),x8171),f26(x8173,x8172)),f8(x8174,x8173,x8171,x8172)),x8171,f54(x8173,a1),x8172),x8175)),x8176),f43(f43(f26(x8173,x8172),f43(f8(f43(f43(f7(f54(x8171,x8172),f54(f54(x8171,a1),x8172),x8173),f26(x8171,x8172)),x8174),x8173,f54(x8171,a1),x8172),x8176)),x8175)) % 2.46/2.54 [636]E(x6361,x6362)+~E(f29(x6363,x6364,x6361,x6365),f29(x6366,x6367,x6362,x6365)) % 2.46/2.54 [637]E(x6371,x6372)+~E(f29(x6373,x6371,x6374,x6375),f29(x6376,x6372,x6377,x6375)) % 2.46/2.54 [638]E(x6381,x6382)+~E(f29(x6381,x6383,x6384,x6385),f29(x6382,x6386,x6387,x6385)) % 2.46/2.54 [823]~P30(x8232)+E(f43(f43(f26(x8231,x8232),f43(f8(f43(f43(f7(f54(x8233,x8232),f54(f54(x8233,a1),x8232),x8231),f26(x8233,x8232)),f43(f8(f43(f43(f7(f54(x8232,x8232),f54(f54(x8233,x8232),f54(x8233,x8232)),x8231),f7(x8232,x8232,x8233)),f43(f43(f7(x8232,f54(x8232,x8232),x8231),f30(x8232)),x8234)),x8231,f54(x8233,x8232),f54(x8233,x8232)),x8235)),x8231,f54(x8233,a1),x8232),x8236)),x8237),f43(f43(f30(x8232),f43(f43(f26(x8231,x8232),x8234),x8237)),f43(f43(f26(x8233,x8232),x8235),x8236))) % 2.46/2.54 [838]~P5(x8382,x8381,x8383,x8385,x8387,x8386,x8389,x8388,x8384)+P5(x8381,x8382,f8(x8383,x8384,x8384,a1),f8(x8385,x8384,x8384,a1),x8386,x8387,x8388,x8389,x8384) % 2.46/2.54 [779]~E(f23(x7791,x7792,x7796,x7797,x7798),f23(x7794,x7795,x7799,x7797,x7798))+E(f43(x7791,f43(x7792,x7793)),f43(x7794,f43(x7795,x7793))) % 2.46/2.54 [826]~P5(x8264,x8261,x8265,x8266,x8267,x8268,x8263,x8269,x8262)+E(f43(x8261,f36(f54(x8262,a1))),x8263) % 2.46/2.54 [827]~P5(x8271,x8274,x8275,x8276,x8277,x8278,x8279,x8273,x8272)+E(f43(x8271,f36(f54(x8272,a1))),x8273) % 2.46/2.54 [828]~P5(x8284,x8281,x8285,x8286,x8287,x8288,x8289,x8283,x8282)+E(f43(x8281,f39(f54(x8282,a1))),x8283) % 2.46/2.54 [829]~P5(x8291,x8294,x8295,x8296,x8297,x8298,x8293,x8299,x8292)+E(f43(x8291,f39(f54(x8292,a1))),x8293) % 2.46/2.54 [832]~P5(x8324,x8321,x8325,x8326,x8327,x8328,x8329,x83210,x8322)+E(f43(x8321,f43(f43(f38(x8322),x8323),f36(f54(x8322,a1)))),x8323) % 2.46/2.54 [833]~P5(x8331,x8334,x8335,x8336,x8337,x8338,x8339,x83310,x8332)+E(f43(x8331,f43(f43(f38(x8332),x8333),f36(f54(x8332,a1)))),x8333) % 2.46/2.54 [791]~E(f43(x7911,f43(x7912,x7916)),f43(x7917,f43(x7918,x79111)))+E(f43(f23(x7911,x7912,x7913,x7914,x7915),x7916),f43(f23(x7917,x7918,x7919,x7914,x79110),x79111)) % 2.46/2.54 [830]~P5(x8306,x8301,x8307,x8308,x8309,x8305,x83010,x83011,x8302)+E(f43(x8301,f43(f43(f38(x8302),x8303),x8304)),f43(f43(x8305,x8303),f43(x8301,x8304))) % 2.46/2.54 [831]~P5(x8311,x8316,x8317,x8318,x8315,x8319,x83110,x83111,x8312)+E(f43(x8311,f43(f43(f38(x8312),x8313),x8314)),f43(f43(x8315,x8313),f43(x8311,x8314))) % 2.46/2.54 [836]~P5(x8366,x8361,x8367,x8368,x8369,x8365,x83610,x83611,x8362)+E(f43(x8361,f43(f43(f38(x8362),x8363),f43(f43(f38(x8362),x8364),f36(f54(x8362,a1))))),f43(f43(x8365,x8363),x8364)) % 2.46/2.54 [837]~P5(x8371,x8376,x8377,x8378,x8375,x8379,x83710,x83711,x8372)+E(f43(x8371,f43(f43(f38(x8372),x8373),f43(f43(f38(x8372),x8374),f36(f54(x8372,a1))))),f43(f43(x8375,x8373),x8374)) % 2.46/2.54 [393]~P11(x3932)+~P11(x3931)+P11(f54(x3931,x3932)) % 2.46/2.54 [603]~P4(x6032,x6031)+~P4(f39(f54(x6031,a1)),x6031)+P4(f43(f43(f7(a1,a1,x6031),a3),x6032),x6031) % 2.46/2.54 [655]~P4(x6552,x6551)+P4(f39(f54(x6551,a1)),x6551)+~P4(f43(f43(f7(a1,a1,x6551),a3),x6552),x6551) % 2.46/2.54 [753]~P4(x7532,x7533)+P7(x7531,x7532,x7533,x7533)+~P25(f43(f43(f46(f54(x7533,a1)),x7532),f42(x7531,x7532,x7533,x7533))) % 2.46/2.54 [418]~P9(x4182)+E(x4181,f36(x4182))+~E(f43(f43(f27(x4182),x4183),x4181),f36(x4182)) % 2.46/2.54 [419]~P9(x4192)+E(x4191,f39(x4192))+~E(f43(f43(f28(x4192),x4193),x4191),f39(x4192)) % 2.46/2.54 [420]~P9(x4202)+E(x4201,f36(x4202))+~E(f43(f43(f27(x4202),x4201),x4203),f36(x4202)) % 2.46/2.54 [421]~P9(x4212)+E(x4211,f39(x4212))+~E(f43(f43(f28(x4212),x4211),x4213),f39(x4212)) % 2.46/2.54 [447]~P16(x4473)+E(f41(x4471,x4472,x4473),f36(f54(x4473,a1)))+P25(f43(f43(f46(x4473),x4471),x4472)) % 2.46/2.54 [448]~P16(x4481)+E(f36(f54(x4481,a1)),f41(x4482,x4483,x4481))+P25(f43(f43(f46(x4481),x4482),x4483)) % 2.46/2.54 [450]~P1(x4501)+~E(f43(f43(f27(x4501),x4502),x4503),x4503)+P25(f43(f43(f46(x4501),x4502),x4503)) % 2.46/2.54 [451]~P14(x4511)+~E(f43(f43(f28(x4511),x4512),x4513),x4512)+P25(f43(f43(f46(x4511),x4512),x4513)) % 2.46/2.54 [463]~P23(x4631)+P25(f43(f43(f46(x4631),x4633),x4632))+P25(f43(f43(f4(x4631),x4632),x4633)) % 2.46/2.54 [465]~P23(x4651)+P25(f43(f43(f46(x4651),x4653),x4652))+P25(f43(f43(f46(x4651),x4652),x4653)) % 2.46/2.54 [477]~P1(x4771)+E(f43(f43(f27(x4771),x4772),x4773),x4773)+~P25(f43(f43(f46(x4771),x4772),x4773)) % 2.46/2.54 [478]~P1(x4781)+E(f43(f43(f27(x4781),x4782),x4783),x4782)+~P25(f43(f43(f46(x4781),x4783),x4782)) % 2.46/2.54 [479]~P14(x4791)+E(f43(f43(f28(x4791),x4792),x4793),x4793)+~P25(f43(f43(f46(x4791),x4793),x4792)) % 2.46/2.54 [480]~P14(x4801)+E(f43(f43(f28(x4801),x4802),x4803),x4802)+~P25(f43(f43(f46(x4801),x4802),x4803)) % 2.46/2.54 [484]~P16(x4843)+E(f41(x4841,x4842,x4843),f36(f54(x4843,a1)))+~P25(f43(f43(f4(x4843),x4842),x4841)) % 2.46/2.54 [485]~P15(x4851)+~P25(f43(f43(f4(x4851),x4852),x4853))+P25(f43(f43(f46(x4851),x4852),x4853)) % 2.46/2.54 [486]~P16(x4861)+~P25(f43(f43(f4(x4861),x4862),x4863))+P25(f43(f43(f46(x4861),x4862),x4863)) % 2.46/2.54 [498]~P16(x4983)+~E(f41(x4981,x4982,x4983),f36(f54(x4983,a1)))+~P25(f43(f43(f46(x4983),x4981),x4982)) % 2.46/2.54 [499]~P16(x4991)+~E(f36(f54(x4991,a1)),f41(x4992,x4993,x4991))+~P25(f43(f43(f46(x4991),x4992),x4993)) % 2.46/2.54 [514]~P15(x5141)+~P25(f43(f43(f4(x5141),x5143),x5142))+~P25(f43(f43(f4(x5141),x5142),x5143)) % 2.46/2.54 [515]~P15(x5151)+~P25(f43(f43(f46(x5151),x5153),x5152))+~P25(f43(f43(f4(x5151),x5152),x5153)) % 2.46/2.54 [516]~P16(x5161)+~P25(f43(f43(f4(x5161),x5163),x5162))+~P25(f43(f43(f4(x5161),x5162),x5163)) % 2.46/2.54 [517]~P23(x5171)+~P25(f43(f43(f4(x5171),x5173),x5172))+~P25(f43(f43(f4(x5171),x5172),x5173)) % 2.46/2.54 [519]~P23(x5191)+~P25(f43(f43(f46(x5191),x5193),x5192))+~P25(f43(f43(f4(x5191),x5192),x5193)) % 2.46/2.54 [528]~P3(x5281)+~P25(f45(x5282,x5283,x5281))+P25(f43(f43(f46(x5281),x5282),f43(f18(x5281),x5283))) % 2.46/2.54 [525]~P4(x5253,x5251)+~P4(x5252,x5251)+P4(f43(f43(f27(f54(x5251,a1)),x5252),x5253),x5251) % 2.46/2.54 [549]~P3(x5491)+~P25(f45(x5493,x5492,x5491))+P25(f43(f43(f46(x5491),f43(f17(x5491),x5492)),x5493)) % 2.46/2.54 [576]P4(x5761,x5762)+~P4(x5763,x5762)+~P25(f43(f43(f46(f54(x5762,a1)),x5761),x5763)) % 2.46/2.54 [578]P4(x5781,x5782)+~P4(x5783,x5782)+~P4(f43(f43(f21(f54(x5782,a1)),x5781),x5783),x5782) % 2.46/2.54 [663]E(x6631,x6632)+~P25(f43(f43(f46(f54(x6633,a1)),x6632),x6631))+~P25(f43(f43(f46(f54(x6633,a1)),x6631),x6632)) % 2.46/2.54 [704]E(x7041,f36(f54(x7042,a1)))+E(x7041,f43(f43(f38(x7042),x7043),f36(f54(x7042,a1))))+~P25(f43(f43(f46(f54(x7042,a1)),x7041),f43(f43(f38(x7042),x7043),f36(f54(x7042,a1))))) % 2.46/2.54 [773]~P4(x7733,x7731)+~P4(x7732,x7731)+P4(f43(f43(f10(x7731,a1,a1),f43(f43(f7(a1,f54(a1,a1),x7731),a47),x7732)),x7733),x7731) % 2.46/2.54 [473]~P6(x4731,x4734,x4733)+P6(x4731,x4732,x4733)+~P6(x4734,x4732,x4733) % 2.46/2.54 [702]P4(x7021,x7022)+~P7(x7023,x7021,x7022,x7024)+~P4(f42(x7023,x7021,x7022,x7024),x7024) % 2.46/2.54 [533]~P3(x5334)+E(f19(x5331,f6(x5333,x5334,x5332),x5332,x5334),x5333)+E(x5331,f36(f54(x5332,a1))) % 2.46/2.54 [534]~P3(x5344)+E(f9(x5341,f6(x5343,x5344,x5342),x5342,x5344),x5343)+E(x5341,f36(f54(x5342,a1))) % 2.46/2.54 [442]~P19(x4423)+E(x4421,x4422)+~E(f43(f43(f21(x4423),x4424),x4424),f43(f43(f21(x4423),x4421),x4422)) % 2.46/2.54 [443]~P19(x4433)+E(x4431,x4432)+~E(f43(f43(f21(x4433),x4431),x4432),f43(f43(f21(x4433),x4434),x4434)) % 2.46/2.54 [535]E(x5351,x5352)+P25(f43(x5353,x5351))+~P25(f43(f43(f43(f38(x5354),x5352),x5353),x5351)) % 2.46/2.54 [568]~P1(x5681)+~P25(f43(f43(f4(x5681),x5682),x5684))+P25(f43(f43(f4(x5681),x5682),f43(f43(f27(x5681),x5683),x5684))) % 2.46/2.54 [569]~P1(x5691)+~P25(f43(f43(f4(x5691),x5692),x5693))+P25(f43(f43(f4(x5691),x5692),f43(f43(f27(x5691),x5693),x5694))) % 2.46/2.54 [570]~P1(x5701)+~P25(f43(f43(f46(x5701),x5702),x5704))+P25(f43(f43(f46(x5701),x5702),f43(f43(f27(x5701),x5703),x5704))) % 2.46/2.54 [571]~P1(x5711)+~P25(f43(f43(f46(x5711),x5712),x5713))+P25(f43(f43(f46(x5711),x5712),f43(f43(f27(x5711),x5713),x5714))) % 2.46/2.54 [590]P25(f43(x5901,x5902))+~P25(f43(x5903,x5902))+~P25(f43(f43(f46(f54(x5904,a1)),x5903),x5901)) % 2.46/2.54 [598]~P14(x5981)+P25(f43(f43(f46(x5981),x5982),x5983))+~P25(f43(f43(f46(x5981),x5982),f43(f43(f28(x5981),x5984),x5983))) % 2.46/2.54 [600]~P14(x6001)+P25(f43(f43(f46(x6001),x6002),x6003))+~P25(f43(f43(f46(x6001),x6002),f43(f43(f28(x6001),x6003),x6004))) % 2.46/2.54 [602]E(x6021,x6022)+P25(f45(x6021,x6023,x6024))+~P25(f45(x6021,f43(f43(f38(x6024),x6022),x6023),x6024)) % 2.46/2.54 [604]~P25(f45(x6044,x6043,x6041))+~P25(f45(x6044,x6042,x6041))+~E(f43(f43(f28(f54(x6041,a1)),x6042),x6043),f36(f54(x6041,a1))) % 2.46/2.54 [631]P25(f45(x6311,x6312,x6313))+~P25(f45(x6311,x6314,x6313))+~P25(f43(f43(f46(f54(x6313,a1)),x6314),x6312)) % 2.46/2.54 [652]~P6(x6521,x6524,x6522)+P6(x6521,f43(f43(f38(f50(x6522)),x6523),x6524),x6522)+~P6(x6521,f43(f43(f38(f50(x6522)),x6523),f36(f54(f50(x6522),a1))),x6522) % 2.46/2.54 [694]P25(f45(x6941,x6942,x6943))+~P25(f43(f43(f46(f54(x6943,a1)),x6942),f43(f43(f38(x6943),x6941),x6944)))+P25(f43(f43(f46(f54(x6943,a1)),x6942),x6944)) % 2.46/2.54 [701]~P25(f43(f43(f46(f54(x7011,a1)),x7012),x7014))+P25(f43(f43(f46(f54(x7011,a1)),x7012),x7013))+~P25(f43(f43(f46(f54(x7011,a1)),x7014),x7013)) % 2.46/2.54 [620]~P14(x6201)+~P25(f43(f43(f4(x6201),x6203),x6204))+P25(f43(f43(f4(x6201),f43(f43(f28(x6201),x6202),x6203)),x6204)) % 2.46/2.54 [621]~P14(x6211)+~P25(f43(f43(f4(x6211),x6212),x6214))+P25(f43(f43(f4(x6211),f43(f43(f28(x6211),x6212),x6213)),x6214)) % 2.46/2.54 [622]~P14(x6221)+~P25(f43(f43(f46(x6221),x6223),x6224))+P25(f43(f43(f46(x6221),f43(f43(f28(x6221),x6222),x6223)),x6224)) % 2.46/2.54 [623]~P14(x6231)+~P25(f43(f43(f46(x6231),x6232),x6234))+P25(f43(f43(f46(x6231),f43(f43(f28(x6231),x6232),x6233)),x6234)) % 2.46/2.54 [624]~P25(f43(x6243,x6244))+~P25(f43(x6242,x6244))+P25(f43(f43(f43(f28(f54(x6241,a1)),x6242),x6243),x6244)) % 2.46/2.54 [661]~P25(f43(x6614,x6611))+~P25(f45(x6611,x6613,x6612))+P25(f45(x6611,f43(f43(f28(f54(x6612,a1)),x6613),x6614),x6612)) % 2.46/2.54 [667]~P1(x6671)+P25(f43(f43(f46(x6671),x6672),x6673))+~P25(f43(f43(f46(x6671),f43(f43(f27(x6671),x6674),x6672)),x6673)) % 2.46/2.54 [669]~P1(x6691)+P25(f43(f43(f46(x6691),x6692),x6693))+~P25(f43(f43(f46(x6691),f43(f43(f27(x6691),x6692),x6694)),x6693)) % 2.46/2.54 [674]~P25(f45(x6741,x6744,x6743))+P25(f45(x6741,x6742,x6743))+P25(f45(x6741,f43(f43(f21(f54(x6743,a1)),x6744),x6742),x6743)) % 2.46/2.54 [678]P25(f43(x6781,x6782))+P25(f43(x6783,x6782))+~P25(f43(f43(f43(f27(f54(x6784,a1)),x6781),x6783),x6782)) % 2.46/2.54 [682]~P25(f45(x6821,x6824,x6822))+~P25(f45(x6821,x6823,x6822))+P25(f45(x6821,f43(f43(f28(f54(x6822,a1)),x6823),x6824),x6822)) % 2.46/2.54 [683]~P25(f34(x6833,x6834,x6831))+~P25(f34(x6832,x6834,x6831))+P25(f34(f43(f43(f28(f54(x6831,a1)),x6832),x6833),x6834,x6831)) % 2.46/2.54 [708]P25(f45(x7081,x7082,x7083))+P25(f45(x7081,x7084,x7083))+~P25(f45(x7081,f43(f43(f27(f54(x7083,a1)),x7082),x7084),x7083)) % 2.46/2.54 [713]~P25(f45(x7132,x7134,x7131))+~P25(f43(f43(f46(f54(x7131,a1)),x7133),x7134))+P25(f43(f43(f46(f54(x7131,a1)),f43(f43(f38(x7131),x7132),x7133)),x7134)) % 2.46/2.54 [715]E(f43(f43(f21(f54(x7151,a1)),x7152),f43(f43(f21(f54(x7151,a1)),x7153),x7154)),x7154)+~P25(f43(f43(f46(f54(x7151,a1)),x7154),x7152))+~P25(f43(f43(f46(f54(x7151,a1)),x7152),x7153)) % 2.46/2.54 [741]~P25(f43(f43(f46(f54(x7411,a1)),x7412),x7413))+~P25(f43(f43(f46(f54(x7411,a1)),x7412),x7414))+P25(f43(f43(f46(f54(x7411,a1)),x7412),f43(f43(f28(f54(x7411,a1)),x7413),x7414))) % 2.46/2.54 [756]~P25(f43(f43(f46(f54(x7561,a1)),x7563),x7564))+~P25(f43(f43(f46(f54(x7561,a1)),x7562),x7564))+P25(f43(f43(f46(f54(x7561,a1)),f43(f43(f27(f54(x7561,a1)),x7562),x7563)),x7564)) % 2.46/2.54 [781]~P25(f45(x7813,x7812,x7811))+~P25(f43(f43(f46(f54(x7811,a1)),x7812),f43(f43(f38(x7811),x7813),x7814)))+P25(f43(f43(f46(f54(x7811,a1)),f43(f43(f21(f54(x7811,a1)),x7812),f43(f43(f38(x7811),x7813),f36(f54(x7811,a1))))),x7814)) % 2.46/2.54 [796]~P25(f45(x7963,x7962,x7961))+P25(f43(f43(f46(f54(x7961,a1)),x7962),f43(f43(f38(x7961),x7963),x7964)))+~P25(f43(f43(f46(f54(x7961,a1)),f43(f43(f21(f54(x7961,a1)),x7962),f43(f43(f38(x7961),x7963),f36(f54(x7961,a1))))),x7964)) % 2.46/2.54 [580]E(x5801,x5802)+~E(f43(x5803,x5801),f43(x5803,x5802))+~P7(x5803,f39(f54(x5804,a1)),x5804,x5805) % 2.46/2.54 [618]~P25(f45(x6182,x6184,x6185))+E(f43(x6181,x6182),f36(f54(x6183,a1)))+~E(f19(x6184,x6181,x6185,f54(x6183,a1)),f36(f54(x6183,a1))) % 2.46/2.54 [619]~P25(f45(x6192,x6194,x6195))+E(f43(x6191,x6192),f39(f54(x6193,a1)))+~E(f9(x6194,x6191,x6195,f54(x6193,a1)),f39(f54(x6193,a1))) % 2.46/2.54 [643]~P4(f43(x6432,x6435),x6434)+~P25(f45(x6435,x6431,x6433))+P4(f9(x6431,x6432,x6433,f54(x6434,a1)),x6434) % 2.46/2.54 [706]E(x7061,x7062)+~E(f42(x7063,x7061,x7064,x7065),f42(x7063,x7062,x7064,x7065))+~P7(x7063,f39(f54(x7064,a1)),x7064,x7065) % 2.46/2.54 [720]~P3(x7201)+~P25(f45(x7203,x7204,x7205))+P25(f43(f43(f46(x7201),f43(x7202,x7203)),f19(x7204,x7202,x7205,x7201))) % 2.46/2.54 [748]P4(x7481,x7482)+~P4(x7483,x7484)+~P25(f43(f43(f46(f54(x7482,a1)),x7481),f42(x7485,x7483,x7484,x7482))) % 2.46/2.54 [754]~P3(x7541)+~P25(f45(x7545,x7542,x7544))+P25(f43(f43(f46(x7541),f9(x7542,x7543,x7544,x7541)),f43(x7543,x7545))) % 2.46/2.54 [757]~P7(x7574,f39(f54(x7573,a1)),x7573,x7575)+P25(f45(x7571,x7572,x7573))+~P25(f45(f43(x7574,x7571),f42(x7574,x7572,x7573,x7575),x7575)) % 2.46/2.54 [684]~P16(x6841)+P25(f43(f43(f46(f54(x6841,a1)),f41(x6842,x6843,x6841)),f41(x6844,x6845,x6841)))+P25(f43(f43(f46(x6841),x6842),x6843)) % 2.46/2.54 [633]~P12(x6331)+P25(f43(f43(f46(x6331),f43(x6332,x6333)),f43(x6334,x6333)))+~P25(f43(f43(f46(f54(x6335,x6331)),x6332),x6334)) % 2.46/2.54 [646]E(x6461,x6462)+E(x6461,x6463)+~E(f43(f43(f38(x6464),x6465),f43(f43(f38(x6464),x6461),f36(f54(x6464,a1)))),f43(f43(f38(x6464),x6463),f43(f43(f38(x6464),x6462),f36(f54(x6464,a1))))) % 2.46/2.54 [647]E(x6471,x6472)+E(x6473,x6472)+~E(f43(f43(f38(x6474),x6473),f43(f43(f38(x6474),x6471),f36(f54(x6474,a1)))),f43(f43(f38(x6474),x6475),f43(f43(f38(x6474),x6472),f36(f54(x6474,a1))))) % 2.46/2.54 [648]E(x6481,x6482)+E(x6483,x6482)+~E(f43(f43(f38(x6484),x6483),f43(f43(f38(x6484),x6481),f36(f54(x6484,a1)))),f43(f43(f38(x6484),x6482),f43(f43(f38(x6484),x6485),f36(f54(x6484,a1))))) % 2.46/2.54 [649]E(x6491,x6492)+E(x6491,x6493)+~E(f43(f43(f38(x6494),x6491),f43(f43(f38(x6494),x6495),f36(f54(x6494,a1)))),f43(f43(f38(x6494),x6493),f43(f43(f38(x6494),x6492),f36(f54(x6494,a1))))) % 2.46/2.54 [690]P7(x6901,x6902,x6903,x6904)+~P7(x6901,x6905,x6903,x6904)+~P25(f43(f43(f46(f54(x6903,a1)),x6902),x6905)) % 2.46/2.54 [728]E(x7281,x7282)+~E(f42(x7283,x7281,x7284,x7285),f42(x7283,x7282,x7284,x7285))+~P7(x7283,f43(f43(f27(f54(x7284,a1)),x7281),x7282),x7284,x7285) % 2.46/2.54 [800]~P7(x8004,f39(f54(x8001,a1)),x8001,x8005)+~P25(f43(f43(f46(f54(x8005,a1)),f42(x8004,x8002,x8001,x8005)),f42(x8004,x8003,x8001,x8005)))+P25(f43(f43(f46(f54(x8001,a1)),x8002),x8003)) % 2.46/2.54 [802]~P6(x8023,f43(f43(f38(f50(a48)),f29(x8024,x8025,x8021,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8023,f43(f43(f38(f50(a48)),f29(x8024,x8025,x8022,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x8021,f61(x8022,x8021)),f67(x8022,x8021))) % 2.46/2.54 [803]~P6(x8033,f43(f43(f38(f50(a48)),f29(x8032,x8034,x8035,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8033,f43(f43(f38(f50(a48)),f29(x8031,x8034,x8035,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x8031,f62(x8031,x8032)),f66(x8031,x8032))) % 2.46/2.54 [804]~P6(x8041,f43(f43(f38(f50(a48)),f29(x8045,x8043,x8044,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8041,f43(f43(f38(f50(a48)),f29(x8042,x8043,x8044,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8045,f62(x8042,x8045)),f66(x8042,x8045))) % 2.46/2.54 [805]~P6(x8051,f43(f43(f38(f50(a48)),f29(x8052,x8053,x8055,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8051,f43(f43(f38(f50(a48)),f29(x8052,x8053,x8054,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8054,f61(x8054,x8055)),f67(x8054,x8055))) % 2.46/2.54 [767]~P25(f43(f43(f46(f54(x7671,a1)),x7673),x7675))+~P25(f43(f43(f46(f54(x7671,a1)),x7672),x7674))+P25(f43(f43(f46(f54(x7671,a1)),f43(f43(f27(f54(x7671,a1)),x7672),x7673)),f43(f43(f27(f54(x7671,a1)),x7674),x7675))) % 2.46/2.54 [768]~P25(f43(f43(f46(f54(x7681,a1)),x7685),x7683))+~P25(f43(f43(f46(f54(x7681,a1)),x7682),x7684))+P25(f43(f43(f46(f54(x7681,a1)),f43(f43(f21(f54(x7681,a1)),x7682),x7683)),f43(f43(f21(f54(x7681,a1)),x7684),x7685))) % 2.46/2.54 [769]~P25(f43(f43(f46(f54(x7691,a1)),x7693),x7695))+~P25(f43(f43(f46(f54(x7691,a1)),x7692),x7694))+P25(f43(f43(f46(f54(x7691,a1)),f43(f43(f28(f54(x7691,a1)),x7692),x7693)),f43(f43(f28(f54(x7691,a1)),x7694),x7695))) % 2.46/2.54 [787]~P7(x7871,x7874,x7872,x7875)+P7(x7871,f43(f43(f38(x7872),x7873),x7874),x7872,x7875)+P25(f45(f43(x7871,x7873),f42(x7871,f43(f43(f21(f54(x7872,a1)),x7874),f43(f43(f38(x7872),x7873),f36(f54(x7872,a1)))),x7872,x7875),x7875)) % 2.46/2.54 [784]~P7(x7842,x7846,x7845,x7843)+~P7(x7841,f42(x7842,x7846,x7845,x7843),x7843,x7844)+P7(f23(x7841,x7842,x7843,x7844,x7845),x7846,x7845,x7844) % 2.46/2.54 [723]~P25(f45(x7236,x7231,x7233))+~P25(f43(f43(x7232,x7236),x7235))+P25(f43(f19(x7231,x7232,x7233,f54(x7234,a1)),x7235)) % 2.46/2.54 [730]~P25(f45(x7306,x7302,x7304))+~P25(f45(x7301,f43(x7303,x7306),x7305))+P25(f45(x7301,f19(x7302,x7303,x7304,f54(x7305,a1)),x7305)) % 2.46/2.54 [747]~P25(f45(x7472,x7474,x7475))+P25(f43(f43(x7471,x7472),x7473))+~P25(f43(f9(x7474,x7471,x7475,f54(x7476,a1)),x7473)) % 2.46/2.54 [752]~P25(f45(x7523,x7525,x7526))+P25(f45(x7521,f43(x7522,x7523),x7524))+~P25(f45(x7521,f9(x7525,x7522,x7526,f54(x7524,a1)),x7524)) % 2.46/2.54 [763]~P25(f45(x7634,x7635,x7636))+P25(f43(f43(f46(f54(x7631,a1)),x7632),f43(x7633,x7634)))+~P25(f43(f43(f46(f54(x7631,a1)),x7632),f9(x7635,x7633,x7636,f54(x7631,a1)))) % 2.46/2.54 [780]~P25(f45(x7802,x7805,x7806))+P25(f45(f43(x7801,x7802),x7803,x7804))+~P25(f43(f43(f46(f54(x7804,a1)),f42(x7801,x7805,x7806,x7804)),x7803)) % 2.46/2.54 [801]~P22(x8012)+~P7(x8014,x8015,x8016,x8011)+E(f43(f43(f26(x8011,x8012),x8013),f42(x8014,x8015,x8016,x8011)),f43(f43(f26(x8016,x8012),f23(x8013,x8014,x8011,x8012,x8016)),x8015)) % 2.46/2.54 [786]~P25(f45(x7863,x7865,x7866))+P25(f43(f43(f46(f54(x7861,a1)),f43(x7862,x7863)),x7864))+~P25(f43(f43(f46(f54(x7861,a1)),f19(x7865,x7862,x7866,f54(x7861,a1))),x7864)) % 2.46/2.54 [811]~P6(x8115,f43(f43(f38(f50(a48)),f29(x8112,x8116,x8114,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8115,f43(f43(f38(f50(a48)),f29(x8111,x8116,x8113,a48)),f36(f54(f50(a48),a1))),a48)+P25(f43(f43(x8111,f65(x8111,x8112,x8113,x8114)),f64(x8111,x8112,x8113,x8114))) % 2.46/2.54 [814]~P6(x8141,f43(f43(f38(f50(a48)),f29(x8145,x8143,x8146,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8141,f43(f43(f38(f50(a48)),f29(x8142,x8143,x8144,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8144,f65(x8142,x8145,x8144,x8146)),f63(x8142,x8145,x8144,x8146))) % 2.46/2.54 [818]~P6(x8181,f43(f43(f38(f50(a48)),f29(x8185,x8183,x8186,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8181,f43(f43(f38(f50(a48)),f29(x8182,x8183,x8184,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8184,f69(x8181,x8182,x8184,x8183)),f74(x8181,x8182,x8184,x8183,x8185,x8186))) % 2.46/2.54 [819]~P6(x8191,f43(f43(f38(f50(a48)),f29(x8195,x8193,x8196,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8191,f43(f43(f38(f50(a48)),f29(x8192,x8193,x8194,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8194,f70(x8191,x8192,x8194,x8193)),f72(x8191,x8192,x8194,x8193,x8195,x8196))) % 2.46/2.54 [812]~P6(x8121,f43(f43(f38(f50(x8122)),f29(x8123,x8124,x8127,x8122)),f36(f54(f50(x8122),a1))),x8122)+P6(x8121,f43(f43(f38(f50(x8122)),f29(x8123,f15(x8124,x8125),x8126,x8122)),f36(f54(f50(x8122),a1))),x8122)+~P6(x8121,f43(f43(f38(f50(x8122)),f29(x8127,x8125,x8126,x8122)),f36(f54(f50(x8122),a1))),x8122) % 2.46/2.54 [821]~P6(x8211,f43(f43(f38(f50(x8212)),f29(f31(x8213,x8214,x8212),x8215,x8217,x8212)),f36(f54(f50(x8212),a1))),x8212)+P6(x8211,f43(f43(f38(f50(x8212)),f29(x8213,f14(x8214,x8215,x8216),x8217,x8212)),f36(f54(f50(x8212),a1))),x8212)+~P6(x8211,f43(f43(f38(f50(x8212)),f29(f31(x8213,f23(a3,x8214,a1,a1,a51),x8212),x8216,x8217,x8212)),f36(f54(f50(x8212),a1))),x8212) % 2.46/2.54 [834]~P5(x8346,x8343,x8341,x8347,x8348,x8349,x83410,x83411,x8345)+~P25(f45(x8342,x8344,x8345))+P25(f43(f43(x8341,x8342),f43(x8343,x8344))) % 2.46/2.54 [835]~P5(x8352,x8356,x8351,x8357,x8358,x8359,x83510,x83511,x8355)+~P25(f45(x8354,x8353,x8355))+P25(f43(f43(x8351,f43(x8352,x8353)),x8354)) % 2.46/2.54 [466]~P23(x4662)+~P4(x4661,x4662)+E(x4661,f36(f54(x4662,a1)))+P25(f45(f24(x4661,x4662),x4661,x4662)) % 2.46/2.54 [467]~P23(x4672)+~P4(x4671,x4672)+E(x4671,f36(f54(x4672,a1)))+P25(f45(f25(x4671,x4672),x4671,x4672)) % 2.46/2.54 [527]~P23(x5271)+~P4(x5273,x5271)+~P25(f45(x5272,x5273,x5271))+P25(f43(f43(f46(x5271),x5272),f24(x5273,x5271))) % 2.46/2.54 [471]~P23(x4713)+E(x4711,x4712)+P25(f43(f43(f4(x4713),x4712),x4711))+P25(f43(f43(f4(x4713),x4711),x4712)) % 2.46/2.54 [472]~P27(x4723)+E(x4721,x4722)+P25(f43(f43(f4(x4723),x4722),x4721))+P25(f43(f43(f4(x4723),x4721),x4722)) % 2.46/2.54 [493]~P16(x4933)+E(x4931,x4932)+~P25(f43(f43(f46(x4933),x4931),x4932))+P25(f43(f43(f4(x4933),x4931),x4932)) % 2.46/2.54 [495]~P23(x4953)+E(x4951,x4952)+~P25(f43(f43(f46(x4953),x4951),x4952))+P25(f43(f43(f4(x4953),x4951),x4952)) % 2.46/2.54 [523]E(x5231,x5232)+~P16(x5233)+~P25(f43(f43(f46(x5233),x5232),x5231))+~P25(f43(f43(f46(x5233),x5231),x5232)) % 2.46/2.54 [531]~P15(x5311)+P25(f43(f43(f46(x5311),x5313),x5312))+~P25(f43(f43(f46(x5311),x5312),x5313))+P25(f43(f43(f4(x5311),x5312),x5313)) % 2.46/2.54 [537]~P23(x5371)+~P4(x5372,x5371)+~P25(f45(x5373,x5372,x5371))+P25(f43(f43(f46(x5371),f25(x5372,x5371)),x5373)) % 2.46/2.54 [785]~P4(x7852,x7853)+~P7(x7851,x7852,x7853,x7853)+E(f42(x7851,x7852,x7853,x7853),x7852)+~P25(f43(f43(f46(f54(x7853,a1)),f42(x7851,x7852,x7853,x7853)),x7852)) % 2.46/2.54 [625]~P18(x6252)+~P4(x6251,x6252)+E(x6251,f36(f54(x6252,a1)))+E(f35(f22(f30(x6252),f43(f43(f38(x6252),x6253),x6251),x6252),x6252),f43(f43(f30(x6252),x6253),f35(f22(f30(x6252),x6251,x6252),x6252))) % 2.46/2.54 [719]~P14(x7191)+~P4(x7192,x7191)+~P25(f45(x7193,x7192,x7191))+P25(f43(f43(f46(x7191),f35(f22(f28(x7191),x7192,x7191),x7191)),x7193)) % 2.46/2.54 [532]E(x5321,x5322)+P25(f45(x5323,x5321,x5324))+P25(f45(x5323,x5322,x5324))+~E(f43(f43(f38(x5324),x5323),x5321),f43(f43(f38(x5324),x5323),x5322)) % 2.46/2.54 [554]~P15(x5541)+~P25(f43(f43(f4(x5541),x5542),x5544))+P25(f43(f43(f4(x5541),x5542),x5543))+~P25(f43(f43(f4(x5541),x5544),x5543)) % 2.46/2.54 [555]~P15(x5551)+~P25(f43(f43(f46(x5551),x5552),x5554))+P25(f43(f43(f4(x5551),x5552),x5553))+~P25(f43(f43(f4(x5551),x5554),x5553)) % 2.46/2.54 [556]~P15(x5561)+~P25(f43(f43(f46(x5561),x5564),x5563))+P25(f43(f43(f4(x5561),x5562),x5563))+~P25(f43(f43(f4(x5561),x5562),x5564)) % 2.46/2.54 [557]~P16(x5571)+~P25(f43(f43(f4(x5571),x5572),x5574))+P25(f43(f43(f4(x5571),x5572),x5573))+~P25(f43(f43(f4(x5571),x5574),x5573)) % 2.46/2.54 [558]~P16(x5581)+~P25(f43(f43(f46(x5581),x5582),x5584))+P25(f43(f43(f4(x5581),x5582),x5583))+~P25(f43(f43(f4(x5581),x5584),x5583)) % 2.46/2.55 [559]~P16(x5591)+~P25(f43(f43(f46(x5591),x5594),x5593))+P25(f43(f43(f4(x5591),x5592),x5593))+~P25(f43(f43(f4(x5591),x5592),x5594)) % 2.46/2.55 [560]~P15(x5601)+~P25(f43(f43(f46(x5601),x5602),x5604))+P25(f43(f43(f46(x5601),x5602),x5603))+~P25(f43(f43(f46(x5601),x5604),x5603)) % 2.46/2.55 [561]~P16(x5611)+~P25(f43(f43(f46(x5611),x5612),x5614))+P25(f43(f43(f46(x5611),x5612),x5613))+~P25(f43(f43(f46(x5611),x5614),x5613)) % 2.46/2.55 [613]~P14(x6131)+~P25(f43(f43(f46(x6131),x6132),x6134))+~P25(f43(f43(f46(x6131),x6132),x6133))+P25(f43(f43(f46(x6131),x6132),f43(f43(f28(x6131),x6133),x6134))) % 2.46/2.55 [716]~P28(x7161)+P25(f43(f43(f4(x7161),x7163),x7162))+P25(f43(f43(f4(x7161),x7162),x7163))+~P25(f43(f43(f4(x7161),f43(f43(f30(x7161),x7164),x7162)),f43(f43(f30(x7161),x7164),x7163))) % 2.46/2.55 [717]~P28(x7171)+P25(f43(f43(f4(x7171),x7173),x7172))+P25(f43(f43(f4(x7171),x7172),x7173))+~P25(f43(f43(f4(x7171),f43(f43(f30(x7171),x7172),x7174)),f43(f43(f30(x7171),x7173),x7174))) % 2.46/2.55 [658]~P1(x6581)+~P25(f43(f43(f46(x6581),x6583),x6584))+~P25(f43(f43(f46(x6581),x6582),x6584))+P25(f43(f43(f46(x6581),f43(f43(f27(x6581),x6582),x6583)),x6584)) % 2.46/2.55 [692]~P4(x6924,x6925)+P4(f43(x6921,x6922),x6923)+~P25(f45(x6922,x6924,x6925))+~P4(f19(x6924,x6921,x6925,f54(x6923,a1)),x6923) % 2.46/2.55 [550]~P21(x5501)+~E(f43(f43(f21(x5501),x5504),x5505),f43(f43(f21(x5501),x5502),x5503))+~P25(f43(f43(f4(x5501),x5504),x5505))+P25(f43(f43(f4(x5501),x5502),x5503)) % 2.46/2.55 [551]~P21(x5511)+~E(f43(f43(f21(x5511),x5512),x5513),f43(f43(f21(x5511),x5514),x5515))+~P25(f43(f43(f4(x5511),x5514),x5515))+P25(f43(f43(f4(x5511),x5512),x5513)) % 2.46/2.55 [552]~P21(x5521)+~E(f43(f43(f21(x5521),x5524),x5525),f43(f43(f21(x5521),x5523),x5522))+~P25(f43(f43(f46(x5521),x5525),x5524))+P25(f43(f43(f46(x5521),x5522),x5523)) % 2.46/2.55 [553]~P21(x5531)+~E(f43(f43(f21(x5531),x5533),x5532),f43(f43(f21(x5531),x5534),x5535))+~P25(f43(f43(f46(x5531),x5535),x5534))+P25(f43(f43(f46(x5531),x5532),x5533)) % 2.46/2.55 [707]~P16(x7071)+P25(f43(f43(f46(f54(x7071,a1)),f41(x7072,x7073,x7071)),f41(x7074,x7075,x7071)))+~P25(f43(f43(f46(x7071),x7074),x7072))+~P25(f43(f43(f46(x7071),x7073),x7075)) % 2.46/2.55 [738]~P16(x7381)+~P25(f43(f43(f46(f54(x7381,a1)),f41(x7384,x7382,x7381)),f41(x7385,x7383,x7381)))+P25(f43(f43(f46(x7381),x7382),x7383))+~P25(f43(f43(f46(x7381),x7384),x7382)) % 2.46/2.55 [739]~P16(x7391)+~P25(f43(f43(f46(f54(x7391,a1)),f41(x7393,x7394,x7391)),f41(x7392,x7395,x7391)))+P25(f43(f43(f46(x7391),x7392),x7393))+~P25(f43(f43(f46(x7391),x7393),x7394)) % 2.46/2.55 [680]~P19(x6802)+~P4(x6804,x6801)+P25(f45(x6805,x6804,x6801))+E(f43(f43(f26(x6801,x6802),x6803),f43(f43(f21(f54(x6801,a1)),x6804),f43(f43(f38(x6801),x6805),f36(f54(x6801,a1))))),f43(f43(f26(x6801,x6802),x6803),x6804)) % 2.46/2.55 [724]~P19(x7242)+~P4(x7244,x7241)+~P25(f45(x7245,x7244,x7241))+E(f43(f43(f26(x7241,x7242),x7243),f43(f43(f21(f54(x7241,a1)),x7244),f43(f43(f38(x7241),x7245),f36(f54(x7241,a1))))),f43(f43(f21(x7242),f43(f43(f26(x7241,x7242),x7243),x7244)),f43(x7243,x7245))) % 2.46/2.55 [725]~P29(x7252)+~P4(x7254,x7251)+~P25(f45(x7255,x7254,x7251))+E(f43(f43(f26(x7251,x7252),x7253),f43(f43(f21(f54(x7251,a1)),x7254),f43(f43(f38(x7251),x7255),f36(f54(x7251,a1))))),f43(f43(f21(x7252),f43(f43(f26(x7251,x7252),x7253),x7254)),f43(x7253,x7255))) % 2.46/2.55 [726]~P19(x7261)+~P4(x7264,x7262)+E(f43(f43(f21(x7261),f43(f43(f26(x7262,x7261),x7263),x7264)),f43(f43(f26(x7262,x7261),x7263),x7265)),f43(f43(f26(x7262,x7261),x7263),f43(f43(f21(f54(x7262,a1)),x7264),x7265)))+~P25(f43(f43(f46(f54(x7262,a1)),x7265),x7264)) % 2.46/2.55 [806]~P7(x8061,x8064,x8062,x8065)+~P7(x8061,x8063,x8062,x8065)+P7(x8061,f43(f43(f27(f54(x8062,a1)),x8063),x8064),x8062,x8065)+~E(f43(f43(f28(f54(x8065,a1)),f42(x8061,f43(f43(f21(f54(x8062,a1)),x8063),x8064),x8062,x8065)),f42(x8061,f43(f43(f21(f54(x8062,a1)),x8064),x8063),x8062,x8065)),f36(f54(x8065,a1))) % 2.46/2.55 [774]~P7(x7742,x7746,x7744,x7741)+E(f43(f43(f21(f54(x7741,a1)),f42(x7742,x7743,x7744,x7741)),f42(x7742,x7745,x7744,x7741)),f42(x7742,f43(f43(f21(f54(x7744,a1)),x7743),x7745),x7744,x7741))+~P25(f43(f43(f46(f54(x7744,a1)),x7745),x7746))+~P25(f43(f43(f46(f54(x7744,a1)),x7743),x7746)) % 2.46/2.55 [775]~P7(x7752,x7756,x7754,x7751)+E(f43(f43(f28(f54(x7751,a1)),f42(x7752,x7753,x7754,x7751)),f42(x7752,x7755,x7754,x7751)),f42(x7752,f43(f43(f28(f54(x7754,a1)),x7753),x7755),x7754,x7751))+~P25(f43(f43(f46(f54(x7754,a1)),x7755),x7756))+~P25(f43(f43(f46(f54(x7754,a1)),x7753),x7756)) % 2.46/2.55 [810]~P6(x8106,f43(f43(f38(f50(a48)),f29(x8104,x8107,x8101,a48)),f36(f54(f50(a48),a1))),a48)+P6(x8106,f43(f43(f38(f50(a48)),f29(x8103,x8107,x8105,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8104,x8102),f64(x8103,x8104,x8105,x8101)))+P25(f43(f43(x8101,x8102),f63(x8103,x8104,x8105,x8101))) % 2.46/2.55 [815]P6(x8153,f43(f43(f38(f50(a48)),f29(x8154,x8156,x8155,a48)),f36(f54(f50(a48),a1))),a48)+~P6(x8153,f43(f43(f38(f50(a48)),f29(x8157,x8156,x8151,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8157,x8152),f71(x8153,x8154,x8155,x8156)))+P25(f43(f43(x8151,x8152),f72(x8153,x8154,x8155,x8156,x8157,x8151))) % 2.46/2.55 [816]P6(x8163,f43(f43(f38(f50(a48)),f29(x8164,x8166,x8165,a48)),f36(f54(f50(a48),a1))),a48)+~P6(x8163,f43(f43(f38(f50(a48)),f29(x8167,x8166,x8161,a48)),f36(f54(f50(a48),a1))),a48)+~P25(f43(f43(x8167,x8162),f73(x8163,x8164,x8165,x8166)))+P25(f43(f43(x8161,x8162),f74(x8163,x8164,x8165,x8166,x8167,x8161))) % 2.46/2.55 [634]~P23(x6342)+~P4(x6343,x6342)+E(x6341,f36(f54(x6342,a1)))+P25(f43(f43(f46(x6342),f25(x6343,x6342)),f25(x6341,x6342)))+~P25(f43(f43(f46(f54(x6342,a1)),x6341),x6343)) % 2.46/2.55 [635]~P23(x6352)+~P4(x6353,x6352)+E(x6351,f36(f54(x6352,a1)))+P25(f43(f43(f46(x6352),f24(x6351,x6352)),f24(x6353,x6352)))+~P25(f43(f43(f46(f54(x6352,a1)),x6351),x6353)) % 2.46/2.55 [650]~P20(x6502)+~P4(x6501,x6502)+P25(f45(x6503,x6501,x6502))+E(x6501,f36(f54(x6502,a1)))+E(f35(f22(f30(x6502),f43(f43(f38(x6502),x6503),x6501),x6502),x6502),f43(f43(f30(x6502),x6503),f35(f22(f30(x6502),x6501,x6502),x6502))) % 2.46/2.55 [642]E(x6421,x6422)+~P7(x6423,x6424,x6425,x6426)+~E(f43(x6423,x6421),f43(x6423,x6422))+~P25(f45(x6422,x6424,x6425))+~P25(f45(x6421,x6424,x6425)) % 2.46/2.55 [735]~P18(x7352)+~P4(x7351,x7352)+~P4(x7353,x7352)+E(x7351,f36(f54(x7352,a1)))+E(x7353,f36(f54(x7352,a1)))+E(f43(f43(f30(x7352),f35(f22(f30(x7352),x7353,x7352),x7352)),f35(f22(f30(x7352),x7351,x7352),x7352)),f35(f22(f30(x7352),f43(f43(f27(f54(x7352,a1)),x7353),x7351),x7352),x7352)) % 2.46/2.55 [714]~P14(x7142)+~P4(x7141,x7142)+~P25(f45(x7144,x7141,x7142))+E(x7141,f36(f54(x7142,a1)))+P25(f43(f43(f46(x7142),x7143),x7144))+~P25(f43(f43(f46(x7142),x7143),f35(f22(f28(x7142),x7141,x7142),x7142))) % 2.46/2.55 [744]~P20(x7442)+~P4(x7441,x7442)+~P4(x7443,x7442)+E(x7441,f36(f54(x7442,a1)))+E(x7443,f36(f54(x7442,a1)))+~E(f43(f43(f28(f54(x7442,a1)),x7443),x7441),f36(f54(x7442,a1)))+E(f43(f43(f30(x7442),f35(f22(f30(x7442),x7443,x7442),x7442)),f35(f22(f30(x7442),x7441,x7442),x7442)),f35(f22(f30(x7442),f43(f43(f27(f54(x7442,a1)),x7443),x7441),x7442),x7442)) % 2.46/2.55 %EqnAxiom % 2.46/2.55 [1]E(x11,x11) % 2.46/2.55 [2]E(x22,x21)+~E(x21,x22) % 2.46/2.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 2.46/2.55 [4]~E(x41,x42)+E(f43(x41,x43),f43(x42,x43)) % 2.46/2.55 [5]~E(x51,x52)+E(f43(x53,x51),f43(x53,x52)) % 2.46/2.55 [6]~E(x61,x62)+E(f8(x61,x63,x64,x65),f8(x62,x63,x64,x65)) % 2.46/2.55 [7]~E(x71,x72)+E(f8(x73,x71,x74,x75),f8(x73,x72,x74,x75)) % 2.46/2.55 [8]~E(x81,x82)+E(f8(x83,x84,x81,x85),f8(x83,x84,x82,x85)) % 2.46/2.55 [9]~E(x91,x92)+E(f8(x93,x94,x95,x91),f8(x93,x94,x95,x92)) % 2.46/2.55 [10]~E(x101,x102)+E(f4(x101),f4(x102)) % 2.46/2.55 [11]~E(x111,x112)+E(f54(x111,x113),f54(x112,x113)) % 2.46/2.55 [12]~E(x121,x122)+E(f54(x123,x121),f54(x123,x122)) % 2.46/2.55 [13]~E(x131,x132)+E(f44(x131),f44(x132)) % 2.46/2.55 [14]~E(x141,x142)+E(f36(x141),f36(x142)) % 2.46/2.55 [15]~E(x151,x152)+E(f35(x151,x153),f35(x152,x153)) % 2.46/2.55 [16]~E(x161,x162)+E(f35(x163,x161),f35(x163,x162)) % 2.46/2.55 [17]~E(x171,x172)+E(f46(x171),f46(x172)) % 2.46/2.55 [18]~E(x181,x182)+E(f45(x181,x183,x184),f45(x182,x183,x184)) % 2.46/2.55 [19]~E(x191,x192)+E(f45(x193,x191,x194),f45(x193,x192,x194)) % 2.46/2.55 [20]~E(x201,x202)+E(f45(x203,x204,x201),f45(x203,x204,x202)) % 2.46/2.55 [21]~E(x211,x212)+E(f9(x211,x213,x214,x215),f9(x212,x213,x214,x215)) % 2.46/2.55 [22]~E(x221,x222)+E(f9(x223,x221,x224,x225),f9(x223,x222,x224,x225)) % 2.46/2.55 [23]~E(x231,x232)+E(f9(x233,x234,x231,x235),f9(x233,x234,x232,x235)) % 2.46/2.55 [24]~E(x241,x242)+E(f9(x243,x244,x245,x241),f9(x243,x244,x245,x242)) % 2.46/2.55 [25]~E(x251,x252)+E(f28(x251),f28(x252)) % 2.46/2.55 [26]~E(x261,x262)+E(f6(x261,x263,x264),f6(x262,x263,x264)) % 2.46/2.55 [27]~E(x271,x272)+E(f6(x273,x271,x274),f6(x273,x272,x274)) % 2.46/2.55 [28]~E(x281,x282)+E(f6(x283,x284,x281),f6(x283,x284,x282)) % 2.46/2.55 [29]~E(x291,x292)+E(f16(x291,x293),f16(x292,x293)) % 2.46/2.55 [30]~E(x301,x302)+E(f16(x303,x301),f16(x303,x302)) % 2.46/2.55 [31]~E(x311,x312)+E(f38(x311),f38(x312)) % 2.46/2.55 [32]~E(x321,x322)+E(f73(x321,x323,x324,x325),f73(x322,x323,x324,x325)) % 2.46/2.55 [33]~E(x331,x332)+E(f73(x333,x331,x334,x335),f73(x333,x332,x334,x335)) % 2.46/2.55 [34]~E(x341,x342)+E(f73(x343,x344,x341,x345),f73(x343,x344,x342,x345)) % 2.46/2.55 [35]~E(x351,x352)+E(f73(x353,x354,x355,x351),f73(x353,x354,x355,x352)) % 2.46/2.55 [36]~E(x361,x362)+E(f42(x361,x363,x364,x365),f42(x362,x363,x364,x365)) % 2.46/2.55 [37]~E(x371,x372)+E(f42(x373,x371,x374,x375),f42(x373,x372,x374,x375)) % 2.46/2.55 [38]~E(x381,x382)+E(f42(x383,x384,x381,x385),f42(x383,x384,x382,x385)) % 2.46/2.55 [39]~E(x391,x392)+E(f42(x393,x394,x395,x391),f42(x393,x394,x395,x392)) % 2.46/2.55 [40]~E(x401,x402)+E(f50(x401),f50(x402)) % 2.46/2.55 [41]~E(x411,x412)+E(f15(x411,x413),f15(x412,x413)) % 2.46/2.55 [42]~E(x421,x422)+E(f15(x423,x421),f15(x423,x422)) % 2.46/2.55 [43]~E(x431,x432)+E(f12(x431),f12(x432)) % 2.46/2.55 [44]~E(x441,x442)+E(f30(x441),f30(x442)) % 2.46/2.55 [45]~E(x451,x452)+E(f27(x451),f27(x452)) % 2.46/2.55 [46]~E(x461,x462)+E(f39(x461),f39(x462)) % 2.46/2.55 [47]~E(x471,x472)+E(f29(x471,x473,x474,x475),f29(x472,x473,x474,x475)) % 2.46/2.55 [48]~E(x481,x482)+E(f29(x483,x481,x484,x485),f29(x483,x482,x484,x485)) % 2.46/2.55 [49]~E(x491,x492)+E(f29(x493,x494,x491,x495),f29(x493,x494,x492,x495)) % 2.46/2.55 [50]~E(x501,x502)+E(f29(x503,x504,x505,x501),f29(x503,x504,x505,x502)) % 2.46/2.55 [51]~E(x511,x512)+E(f19(x511,x513,x514,x515),f19(x512,x513,x514,x515)) % 2.46/2.55 [52]~E(x521,x522)+E(f19(x523,x521,x524,x525),f19(x523,x522,x524,x525)) % 2.46/2.55 [53]~E(x531,x532)+E(f19(x533,x534,x531,x535),f19(x533,x534,x532,x535)) % 2.46/2.55 [54]~E(x541,x542)+E(f19(x543,x544,x545,x541),f19(x543,x544,x545,x542)) % 2.46/2.55 [55]~E(x551,x552)+E(f10(x551,x553,x554),f10(x552,x553,x554)) % 2.46/2.55 [56]~E(x561,x562)+E(f10(x563,x561,x564),f10(x563,x562,x564)) % 2.46/2.55 [57]~E(x571,x572)+E(f10(x573,x574,x571),f10(x573,x574,x572)) % 2.46/2.55 [58]~E(x581,x582)+E(f21(x581),f21(x582)) % 2.46/2.55 [59]~E(x591,x592)+E(f31(x591,x593,x594),f31(x592,x593,x594)) % 2.46/2.55 [60]~E(x601,x602)+E(f31(x603,x601,x604),f31(x603,x602,x604)) % 2.46/2.55 [61]~E(x611,x612)+E(f31(x613,x614,x611),f31(x613,x614,x612)) % 2.46/2.55 [62]~E(x621,x622)+E(f41(x621,x623,x624),f41(x622,x623,x624)) % 2.46/2.55 [63]~E(x631,x632)+E(f41(x633,x631,x634),f41(x633,x632,x634)) % 2.46/2.55 [64]~E(x641,x642)+E(f41(x643,x644,x641),f41(x643,x644,x642)) % 2.46/2.55 [65]~E(x651,x652)+E(f26(x651,x653),f26(x652,x653)) % 2.46/2.55 [66]~E(x661,x662)+E(f26(x663,x661),f26(x663,x662)) % 2.46/2.55 [67]~E(x671,x672)+E(f7(x671,x673,x674),f7(x672,x673,x674)) % 2.46/2.55 [68]~E(x681,x682)+E(f7(x683,x681,x684),f7(x683,x682,x684)) % 2.46/2.55 [69]~E(x691,x692)+E(f7(x693,x694,x691),f7(x693,x694,x692)) % 2.46/2.55 [70]~E(x701,x702)+E(f69(x701,x703,x704,x705),f69(x702,x703,x704,x705)) % 2.46/2.55 [71]~E(x711,x712)+E(f69(x713,x711,x714,x715),f69(x713,x712,x714,x715)) % 2.46/2.55 [72]~E(x721,x722)+E(f69(x723,x724,x721,x725),f69(x723,x724,x722,x725)) % 2.46/2.55 [73]~E(x731,x732)+E(f69(x733,x734,x735,x731),f69(x733,x734,x735,x732)) % 2.46/2.55 [74]~E(x741,x742)+E(f22(x741,x743,x744),f22(x742,x743,x744)) % 2.46/2.55 [75]~E(x751,x752)+E(f22(x753,x751,x754),f22(x753,x752,x754)) % 2.46/2.55 [76]~E(x761,x762)+E(f22(x763,x764,x761),f22(x763,x764,x762)) % 2.46/2.55 [77]~E(x771,x772)+E(f23(x771,x773,x774,x775,x776),f23(x772,x773,x774,x775,x776)) % 2.46/2.55 [78]~E(x781,x782)+E(f23(x783,x781,x784,x785,x786),f23(x783,x782,x784,x785,x786)) % 2.46/2.55 [79]~E(x791,x792)+E(f23(x793,x794,x791,x795,x796),f23(x793,x794,x792,x795,x796)) % 2.46/2.55 [80]~E(x801,x802)+E(f23(x803,x804,x805,x801,x806),f23(x803,x804,x805,x802,x806)) % 2.46/2.55 [81]~E(x811,x812)+E(f23(x813,x814,x815,x816,x811),f23(x813,x814,x815,x816,x812)) % 2.46/2.55 [82]~E(x821,x822)+E(f37(x821,x823),f37(x822,x823)) % 2.46/2.55 [83]~E(x831,x832)+E(f37(x833,x831),f37(x833,x832)) % 2.46/2.55 [84]~E(x841,x842)+E(f18(x841),f18(x842)) % 2.46/2.55 [85]~E(x851,x852)+E(f14(x851,x853,x854),f14(x852,x853,x854)) % 2.46/2.55 [86]~E(x861,x862)+E(f14(x863,x861,x864),f14(x863,x862,x864)) % 2.46/2.55 [87]~E(x871,x872)+E(f14(x873,x874,x871),f14(x873,x874,x872)) % 2.46/2.55 [88]~E(x881,x882)+E(f60(x881,x883,x884,x885),f60(x882,x883,x884,x885)) % 2.46/2.55 [89]~E(x891,x892)+E(f60(x893,x891,x894,x895),f60(x893,x892,x894,x895)) % 2.46/2.55 [90]~E(x901,x902)+E(f60(x903,x904,x901,x905),f60(x903,x904,x902,x905)) % 2.46/2.55 [91]~E(x911,x912)+E(f60(x913,x914,x915,x911),f60(x913,x914,x915,x912)) % 2.46/2.55 [92]~E(x921,x922)+E(f65(x921,x923,x924,x925),f65(x922,x923,x924,x925)) % 2.46/2.55 [93]~E(x931,x932)+E(f65(x933,x931,x934,x935),f65(x933,x932,x934,x935)) % 2.46/2.55 [94]~E(x941,x942)+E(f65(x943,x944,x941,x945),f65(x943,x944,x942,x945)) % 2.46/2.55 [95]~E(x951,x952)+E(f65(x953,x954,x955,x951),f65(x953,x954,x955,x952)) % 2.46/2.55 [96]~E(x961,x962)+E(f61(x961,x963),f61(x962,x963)) % 2.46/2.55 [97]~E(x971,x972)+E(f61(x973,x971),f61(x973,x972)) % 2.46/2.55 [98]~E(x981,x982)+E(f68(x981,x983,x984,x985),f68(x982,x983,x984,x985)) % 2.46/2.55 [99]~E(x991,x992)+E(f68(x993,x991,x994,x995),f68(x993,x992,x994,x995)) % 2.46/2.55 [100]~E(x1001,x1002)+E(f68(x1003,x1004,x1001,x1005),f68(x1003,x1004,x1002,x1005)) % 2.46/2.55 [101]~E(x1011,x1012)+E(f68(x1013,x1014,x1015,x1011),f68(x1013,x1014,x1015,x1012)) % 2.46/2.55 [102]~E(x1021,x1022)+E(f62(x1021,x1023),f62(x1022,x1023)) % 2.46/2.55 [103]~E(x1031,x1032)+E(f62(x1033,x1031),f62(x1033,x1032)) % 2.46/2.55 [104]~E(x1041,x1042)+E(f32(x1041,x1043),f32(x1042,x1043)) % 2.46/2.55 [105]~E(x1051,x1052)+E(f32(x1053,x1051),f32(x1053,x1052)) % 2.46/2.55 [106]~E(x1061,x1062)+E(f25(x1061,x1063),f25(x1062,x1063)) % 2.46/2.55 [107]~E(x1071,x1072)+E(f25(x1073,x1071),f25(x1073,x1072)) % 2.46/2.55 [108]~E(x1081,x1082)+E(f74(x1081,x1083,x1084,x1085,x1086,x1087),f74(x1082,x1083,x1084,x1085,x1086,x1087)) % 2.46/2.55 [109]~E(x1091,x1092)+E(f74(x1093,x1091,x1094,x1095,x1096,x1097),f74(x1093,x1092,x1094,x1095,x1096,x1097)) % 2.46/2.55 [110]~E(x1101,x1102)+E(f74(x1103,x1104,x1101,x1105,x1106,x1107),f74(x1103,x1104,x1102,x1105,x1106,x1107)) % 2.46/2.55 [111]~E(x1111,x1112)+E(f74(x1113,x1114,x1115,x1111,x1116,x1117),f74(x1113,x1114,x1115,x1112,x1116,x1117)) % 2.46/2.55 [112]~E(x1121,x1122)+E(f74(x1123,x1124,x1125,x1126,x1121,x1127),f74(x1123,x1124,x1125,x1126,x1122,x1127)) % 2.46/2.55 [113]~E(x1131,x1132)+E(f74(x1133,x1134,x1135,x1136,x1137,x1131),f74(x1133,x1134,x1135,x1136,x1137,x1132)) % 2.46/2.55 [114]~E(x1141,x1142)+E(f17(x1141),f17(x1142)) % 2.46/2.55 [115]~E(x1151,x1152)+E(f33(x1151,x1153,x1154),f33(x1152,x1153,x1154)) % 2.46/2.55 [116]~E(x1161,x1162)+E(f33(x1163,x1161,x1164),f33(x1163,x1162,x1164)) % 2.46/2.55 [117]~E(x1171,x1172)+E(f33(x1173,x1174,x1171),f33(x1173,x1174,x1172)) % 2.46/2.55 [118]~E(x1181,x1182)+E(f24(x1181,x1183),f24(x1182,x1183)) % 2.46/2.55 [119]~E(x1191,x1192)+E(f24(x1193,x1191),f24(x1193,x1192)) % 2.46/2.55 [120]~E(x1201,x1202)+E(f70(x1201,x1203,x1204,x1205),f70(x1202,x1203,x1204,x1205)) % 2.46/2.55 [121]~E(x1211,x1212)+E(f70(x1213,x1211,x1214,x1215),f70(x1213,x1212,x1214,x1215)) % 2.46/2.55 [122]~E(x1221,x1222)+E(f70(x1223,x1224,x1221,x1225),f70(x1223,x1224,x1222,x1225)) % 2.46/2.55 [123]~E(x1231,x1232)+E(f70(x1233,x1234,x1235,x1231),f70(x1233,x1234,x1235,x1232)) % 2.46/2.55 [124]~E(x1241,x1242)+E(f66(x1241,x1243),f66(x1242,x1243)) % 2.46/2.55 [125]~E(x1251,x1252)+E(f66(x1253,x1251),f66(x1253,x1252)) % 2.46/2.55 [126]~E(x1261,x1262)+E(f72(x1261,x1263,x1264,x1265,x1266,x1267),f72(x1262,x1263,x1264,x1265,x1266,x1267)) % 2.46/2.55 [127]~E(x1271,x1272)+E(f72(x1273,x1271,x1274,x1275,x1276,x1277),f72(x1273,x1272,x1274,x1275,x1276,x1277)) % 2.46/2.55 [128]~E(x1281,x1282)+E(f72(x1283,x1284,x1281,x1285,x1286,x1287),f72(x1283,x1284,x1282,x1285,x1286,x1287)) % 2.46/2.55 [129]~E(x1291,x1292)+E(f72(x1293,x1294,x1295,x1291,x1296,x1297),f72(x1293,x1294,x1295,x1292,x1296,x1297)) % 2.46/2.55 [130]~E(x1301,x1302)+E(f72(x1303,x1304,x1305,x1306,x1301,x1307),f72(x1303,x1304,x1305,x1306,x1302,x1307)) % 2.46/2.55 [131]~E(x1311,x1312)+E(f72(x1313,x1314,x1315,x1316,x1317,x1311),f72(x1313,x1314,x1315,x1316,x1317,x1312)) % 2.46/2.55 [132]~E(x1321,x1322)+E(f34(x1321,x1323,x1324),f34(x1322,x1323,x1324)) % 2.46/2.55 [133]~E(x1331,x1332)+E(f34(x1333,x1331,x1334),f34(x1333,x1332,x1334)) % 2.46/2.55 [134]~E(x1341,x1342)+E(f34(x1343,x1344,x1341),f34(x1343,x1344,x1342)) % 2.46/2.55 [135]~E(x1351,x1352)+E(f71(x1351,x1353,x1354,x1355),f71(x1352,x1353,x1354,x1355)) % 2.46/2.55 [136]~E(x1361,x1362)+E(f71(x1363,x1361,x1364,x1365),f71(x1363,x1362,x1364,x1365)) % 2.46/2.55 [137]~E(x1371,x1372)+E(f71(x1373,x1374,x1371,x1375),f71(x1373,x1374,x1372,x1375)) % 2.46/2.55 [138]~E(x1381,x1382)+E(f71(x1383,x1384,x1385,x1381),f71(x1383,x1384,x1385,x1382)) % 2.46/2.55 [139]~E(x1391,x1392)+E(f63(x1391,x1393,x1394,x1395),f63(x1392,x1393,x1394,x1395)) % 2.46/2.55 [140]~E(x1401,x1402)+E(f63(x1403,x1401,x1404,x1405),f63(x1403,x1402,x1404,x1405)) % 2.46/2.55 [141]~E(x1411,x1412)+E(f63(x1413,x1414,x1411,x1415),f63(x1413,x1414,x1412,x1415)) % 2.46/2.55 [142]~E(x1421,x1422)+E(f63(x1423,x1424,x1425,x1421),f63(x1423,x1424,x1425,x1422)) % 2.46/2.55 [143]~E(x1431,x1432)+E(f40(x1431,x1433),f40(x1432,x1433)) % 2.46/2.55 [144]~E(x1441,x1442)+E(f40(x1443,x1441),f40(x1443,x1442)) % 2.46/2.55 [145]~E(x1451,x1452)+E(f20(x1451),f20(x1452)) % 2.46/2.55 [146]~E(x1461,x1462)+E(f67(x1461,x1463),f67(x1462,x1463)) % 2.46/2.55 [147]~E(x1471,x1472)+E(f67(x1473,x1471),f67(x1473,x1472)) % 2.46/2.55 [148]~E(x1481,x1482)+E(f64(x1481,x1483,x1484,x1485),f64(x1482,x1483,x1484,x1485)) % 2.46/2.55 [149]~E(x1491,x1492)+E(f64(x1493,x1491,x1494,x1495),f64(x1493,x1492,x1494,x1495)) % 2.46/2.55 [150]~E(x1501,x1502)+E(f64(x1503,x1504,x1501,x1505),f64(x1503,x1504,x1502,x1505)) % 2.46/2.55 [151]~E(x1511,x1512)+E(f64(x1513,x1514,x1515,x1511),f64(x1513,x1514,x1515,x1512)) % 2.46/2.55 [152]~E(x1521,x1522)+E(f13(x1521),f13(x1522)) % 2.46/2.55 [153]~P1(x1531)+P1(x1532)+~E(x1531,x1532) % 2.46/2.55 [154]~P15(x1541)+P15(x1542)+~E(x1541,x1542) % 2.46/2.55 [155]~P16(x1551)+P16(x1552)+~E(x1551,x1552) % 2.46/2.55 [156]~P2(x1561)+P2(x1562)+~E(x1561,x1562) % 2.46/2.55 [157]~P13(x1571)+P13(x1572)+~E(x1571,x1572) % 2.46/2.55 [158]~P3(x1581)+P3(x1582)+~E(x1581,x1582) % 2.46/2.55 [159]~P14(x1591)+P14(x1592)+~E(x1591,x1592) % 2.46/2.55 [160]~P9(x1601)+P9(x1602)+~E(x1601,x1602) % 2.46/2.55 [161]~P10(x1611)+P10(x1612)+~E(x1611,x1612) % 2.46/2.55 [162]~P24(x1621)+P24(x1622)+~E(x1621,x1622) % 2.46/2.55 [163]~P11(x1631)+P11(x1632)+~E(x1631,x1632) % 2.46/2.55 [164]~P12(x1641)+P12(x1642)+~E(x1641,x1642) % 2.46/2.55 [165]~P17(x1651)+P17(x1652)+~E(x1651,x1652) % 2.46/2.55 [166]P4(x1662,x1663)+~E(x1661,x1662)+~P4(x1661,x1663) % 2.46/2.55 [167]P4(x1673,x1672)+~E(x1671,x1672)+~P4(x1673,x1671) % 2.46/2.55 [168]~P25(x1681)+P25(x1682)+~E(x1681,x1682) % 2.46/2.55 [169]P6(x1692,x1693,x1694)+~E(x1691,x1692)+~P6(x1691,x1693,x1694) % 2.46/2.55 [170]P6(x1703,x1702,x1704)+~E(x1701,x1702)+~P6(x1703,x1701,x1704) % 2.46/2.55 [171]P6(x1713,x1714,x1712)+~E(x1711,x1712)+~P6(x1713,x1714,x1711) % 2.46/2.55 [172]~P19(x1721)+P19(x1722)+~E(x1721,x1722) % 2.46/2.55 [173]~P29(x1731)+P29(x1732)+~E(x1731,x1732) % 2.46/2.55 [174]P7(x1742,x1743,x1744,x1745)+~E(x1741,x1742)+~P7(x1741,x1743,x1744,x1745) % 2.46/2.55 [175]P7(x1753,x1752,x1754,x1755)+~E(x1751,x1752)+~P7(x1753,x1751,x1754,x1755) % 2.46/2.55 [176]P7(x1763,x1764,x1762,x1765)+~E(x1761,x1762)+~P7(x1763,x1764,x1761,x1765) % 2.46/2.55 [177]P7(x1773,x1774,x1775,x1772)+~E(x1771,x1772)+~P7(x1773,x1774,x1775,x1771) % 2.46/2.55 [178]~P22(x1781)+P22(x1782)+~E(x1781,x1782) % 2.46/2.55 [179]~P23(x1791)+P23(x1792)+~E(x1791,x1792) % 2.46/2.55 [180]P5(x1802,x1803,x1804,x1805,x1806,x1807,x1808,x1809,x18010)+~E(x1801,x1802)+~P5(x1801,x1803,x1804,x1805,x1806,x1807,x1808,x1809,x18010) % 2.46/2.55 [181]P5(x1813,x1812,x1814,x1815,x1816,x1817,x1818,x1819,x18110)+~E(x1811,x1812)+~P5(x1813,x1811,x1814,x1815,x1816,x1817,x1818,x1819,x18110) % 2.46/2.55 [182]P5(x1823,x1824,x1822,x1825,x1826,x1827,x1828,x1829,x18210)+~E(x1821,x1822)+~P5(x1823,x1824,x1821,x1825,x1826,x1827,x1828,x1829,x18210) % 2.46/2.55 [183]P5(x1833,x1834,x1835,x1832,x1836,x1837,x1838,x1839,x18310)+~E(x1831,x1832)+~P5(x1833,x1834,x1835,x1831,x1836,x1837,x1838,x1839,x18310) % 2.46/2.55 [184]P5(x1843,x1844,x1845,x1846,x1842,x1847,x1848,x1849,x18410)+~E(x1841,x1842)+~P5(x1843,x1844,x1845,x1846,x1841,x1847,x1848,x1849,x18410) % 2.46/2.55 [185]P5(x1853,x1854,x1855,x1856,x1857,x1852,x1858,x1859,x18510)+~E(x1851,x1852)+~P5(x1853,x1854,x1855,x1856,x1857,x1851,x1858,x1859,x18510) % 2.46/2.55 [186]P5(x1863,x1864,x1865,x1866,x1867,x1868,x1862,x1869,x18610)+~E(x1861,x1862)+~P5(x1863,x1864,x1865,x1866,x1867,x1868,x1861,x1869,x18610) % 2.46/2.55 [187]P5(x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1872,x18710)+~E(x1871,x1872)+~P5(x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1871,x18710) % 2.46/2.55 [188]P5(x1883,x1884,x1885,x1886,x1887,x1888,x1889,x18810,x1882)+~E(x1881,x1882)+~P5(x1883,x1884,x1885,x1886,x1887,x1888,x1889,x18810,x1881) % 2.46/2.55 [189]~P28(x1891)+P28(x1892)+~E(x1891,x1892) % 2.46/2.55 [190]~P20(x1901)+P20(x1902)+~E(x1901,x1902) % 2.46/2.55 [191]~P26(x1911)+P26(x1912)+~E(x1911,x1912) % 2.46/2.55 [192]P8(x1922,x1923)+~E(x1921,x1922)+~P8(x1921,x1923) % 2.46/2.55 [193]P8(x1933,x1932)+~E(x1931,x1932)+~P8(x1933,x1931) % 2.46/2.55 [194]~P21(x1941)+P21(x1942)+~E(x1941,x1942) % 2.46/2.55 [195]~P18(x1951)+P18(x1952)+~E(x1951,x1952) % 2.46/2.55 [196]~P30(x1961)+P30(x1962)+~E(x1961,x1962) % 2.46/2.55 [197]~P27(x1971)+P27(x1972)+~E(x1971,x1972) % 2.46/2.55 % 2.46/2.55 %------------------------------------------- % 2.46/2.55 cnf(869,plain, % 2.46/2.55 (E(f43(f23(x8691,x8692,x8693,x8694,x8695),x8696),f43(f23(x8691,x8692,x8697,x8694,x8698),x8696))), % 2.46/2.55 inference(equality_inference,[],[791])). % 2.46/2.55 cnf(870,plain, % 2.46/2.55 (~P25(f43(f43(f6(f36(f54(x8701,a1)),x8702,x8703),x8704),x8705))), % 2.46/2.55 inference(scs_inference,[],[218,416])). % 2.46/2.55 cnf(871,plain, % 2.46/2.55 (E(f43(f6(x8711,x8712,x8713),x8714),x8711)), % 2.46/2.55 inference(rename_variables,[],[218])). % 2.46/2.55 cnf(875,plain, % 2.46/2.55 (P25(f45(x8751,f43(f44(x8752),x8751),x8753))), % 2.46/2.55 inference(scs_inference,[],[218,214,215,416,417,434])). % 2.46/2.55 cnf(888,plain, % 2.46/2.55 (~E(f42(x8881,f39(f54(x8882,a1)),x8882,x8883),f36(f54(x8883,a1)))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,362,373,416,417,434,453,496,536,562,563,565])). % 2.46/2.55 cnf(900,plain, % 2.46/2.55 (E(x9001,f32(f43(f43(f38(x9002),x9001),f36(f54(x9002,a1))),x9002))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,260,312,362,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664])). % 2.46/2.55 cnf(903,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9031,a1)),f43(f43(f21(f54(x9031,a1)),x9032),x9033)),f43(f43(f38(x9031),x9034),x9032)))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,260,312,362,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672])). % 2.46/2.55 cnf(905,plain, % 2.46/2.55 (P25(f45(x9051,f43(f43(f38(x9052),x9053),f43(f43(f38(x9052),x9051),x9054)),x9052))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,260,312,362,259,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703])). % 2.46/2.55 cnf(906,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9061,a1)),x9062),f43(f43(f38(x9061),x9063),x9062)))), % 2.46/2.55 inference(rename_variables,[],[259])). % 2.46/2.55 cnf(908,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9081,a1)),x9082),f43(f43(f38(x9081),x9083),f43(f43(f38(x9081),x9084),x9082))))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,260,312,362,259,906,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721])). % 2.46/2.55 cnf(909,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9091,a1)),x9092),f43(f43(f38(x9091),x9093),x9092)))), % 2.46/2.55 inference(rename_variables,[],[259])). % 2.46/2.55 cnf(917,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9171,a1)),x9172),f43(f43(f38(x9171),x9173),f43(f43(f27(f54(x9171,a1)),x9174),x9172))))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,245,260,312,362,348,259,906,909,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758])). % 2.46/2.55 cnf(918,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9181,a1)),x9182),f43(f43(f38(x9181),x9183),x9182)))), % 2.46/2.55 inference(rename_variables,[],[259])). % 2.46/2.55 cnf(920,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9201,a1)),x9202),f43(f43(f38(x9201),x9203),f43(f43(f27(f54(x9201,a1)),x9202),x9204))))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,245,260,312,362,348,259,906,909,918,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759])). % 2.46/2.55 cnf(921,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9211,a1)),x9212),f43(f43(f38(x9211),x9213),x9212)))), % 2.46/2.55 inference(rename_variables,[],[259])). % 2.46/2.55 cnf(924,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9241,a1)),x9242),x9242))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(926,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9261,a1)),f42(x9262,f36(f54(x9263,a1)),x9263,x9261)),f42(x9262,x9264,x9263,x9261)))), % 2.46/2.55 inference(scs_inference,[],[218,214,279,258,215,236,245,260,312,362,348,259,906,909,918,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778])). % 2.46/2.55 cnf(929,plain, % 2.46/2.55 (~E(f43(f43(f38(x9291),x9292),x9293),f36(f54(x9291,a1)))), % 2.46/2.55 inference(rename_variables,[],[372])). % 2.46/2.55 cnf(932,plain, % 2.46/2.55 (~E(f43(f43(f38(x9321),x9322),x9323),f36(f54(x9321,a1)))), % 2.46/2.55 inference(rename_variables,[],[372])). % 2.46/2.55 cnf(935,plain, % 2.46/2.55 (~E(f43(f43(f38(x9351),x9352),x9353),f36(f54(x9351,a1)))), % 2.46/2.55 inference(rename_variables,[],[372])). % 2.46/2.55 cnf(938,plain, % 2.46/2.55 (~E(f43(f43(f38(x9381),x9382),x9383),f36(f54(x9381,a1)))), % 2.46/2.55 inference(rename_variables,[],[372])). % 2.46/2.55 cnf(941,plain, % 2.46/2.55 (~E(f43(f43(f38(x9411),x9412),x9413),f36(f54(x9411,a1)))), % 2.46/2.55 inference(rename_variables,[],[372])). % 2.46/2.55 cnf(947,plain, % 2.46/2.55 (P4(x9471,a1)), % 2.46/2.55 inference(scs_inference,[],[345,218,214,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,208,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380])). % 2.46/2.55 cnf(949,plain, % 2.46/2.55 (P6(x9491,f43(f43(f38(f50(a48)),f29(f6(f36(f54(x9492,a1)),x9493,x9494),a11,x9495,a48)),f36(f54(f50(a48),a1))),a48)), % 2.46/2.55 inference(scs_inference,[],[345,218,214,336,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,208,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802])). % 2.46/2.55 cnf(950,plain, % 2.46/2.55 (P6(x9501,f43(f43(f38(f50(x9502)),f29(x9503,a11,x9503,x9502)),f36(f54(f50(x9502),a1))),x9502)), % 2.46/2.55 inference(rename_variables,[],[336])). % 2.46/2.55 cnf(952,plain, % 2.46/2.55 (~E(f36(f54(f50(a48),a1)),f43(f43(f38(f50(a48)),f29(f6(f6(a5,a1,a51),f54(a51,a1),a48),a58,f43(f8(f43(f43(f7(f54(a51,f54(a1,a1)),f54(f54(a51,a1),f54(a51,a1)),a48),f10(a51,a1,a1)),f43(f43(f7(f54(a51,a1),f54(a51,f54(a1,a1)),a48),f43(f7(a1,f54(a1,a1),a51),a2)),a53)),a48,f54(a51,a1),f54(a51,a1)),f43(f43(f7(a1,a1,a51),a3),a59)),a48)),f36(f54(f50(a48),a1))))), % 2.46/2.55 inference(scs_inference,[],[378,345,218,220,214,336,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,208,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170])). % 2.46/2.55 cnf(953,plain, % 2.46/2.55 (P6(x9531,f36(f54(f50(x9532),a1)),x9532)), % 2.46/2.55 inference(rename_variables,[],[220])). % 2.46/2.55 cnf(954,plain, % 2.46/2.55 (P6(x9541,f36(f54(f50(f43(f23(x9542,x9543,x9544,x9545,x9546),x9547)),a1)),f43(f23(x9542,x9543,x9548,x9545,x9549),x9547))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,208,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171])). % 2.46/2.55 cnf(960,plain, % 2.46/2.55 (E(f32(f43(f43(f38(x9601),x9602),f36(f54(x9601,a1))),x9601),x9602)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,303,203,208,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535])). % 2.46/2.55 cnf(962,plain, % 2.46/2.55 (~P25(f43(f36(f54(x9621,a1)),x9622))), % 2.46/2.55 inference(rename_variables,[],[373])). % 2.46/2.55 cnf(964,plain, % 2.46/2.55 (P4(f43(f43(f21(f54(x9641,a1)),f36(f54(x9641,a1))),x9642),x9641)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,362,372,929,932,935,938,941,348,259,906,909,918,303,203,208,213,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576])). % 2.46/2.55 cnf(965,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9651,a1)),f43(f43(f21(f54(x9651,a1)),x9652),x9653)),x9652))), % 2.46/2.55 inference(rename_variables,[],[312])). % 2.46/2.55 cnf(967,plain, % 2.46/2.55 (~E(f43(f43(f8(f38(x9671),x9671,f54(x9671,a1),f54(x9671,a1)),f36(f54(x9671,a1))),f12(x9672)),f43(f43(f8(f38(x9671),x9671,f54(x9671,a1),f54(x9671,a1)),f36(f54(x9671,a1))),f15(x9673,x9674)))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,356,362,372,929,932,935,938,941,348,259,906,909,918,303,317,203,208,213,373,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580])). % 2.46/2.55 cnf(969,plain, % 2.46/2.55 (~P25(f43(f43(f43(f21(f54(x9691,a1)),f36(f54(x9692,a1))),x9693),x9694))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,965,356,362,372,929,932,935,938,941,348,259,906,909,918,303,317,203,208,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590])). % 2.46/2.55 cnf(970,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9701,a1)),f43(f43(f21(f54(x9701,a1)),x9702),x9703)),x9702))), % 2.46/2.55 inference(rename_variables,[],[312])). % 2.46/2.55 cnf(972,plain, % 2.46/2.55 (~P25(f45(x9721,f43(f43(f21(f54(x9722,a1)),f36(f54(x9722,a1))),x9723),x9722))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,260,312,965,970,356,362,372,929,932,935,938,941,348,376,259,906,909,918,303,317,203,208,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631])). % 2.46/2.55 cnf(973,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9731,a1)),f43(f43(f21(f54(x9731,a1)),x9732),x9733)),x9732))), % 2.46/2.55 inference(rename_variables,[],[312])). % 2.46/2.55 cnf(975,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(x9751,x9752)),f43(x9751,x9752)))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,924,260,312,965,970,356,362,372,929,932,935,938,941,348,376,259,906,909,918,303,317,203,208,209,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633])). % 2.46/2.55 cnf(978,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9781,a1)),f43(f43(f21(f54(x9781,a1)),x9782),x9783)),x9782))), % 2.46/2.55 inference(rename_variables,[],[312])). % 2.46/2.55 cnf(979,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9791,a1)),f36(f54(x9791,a1))),x9792))), % 2.46/2.55 inference(rename_variables,[],[260])). % 2.46/2.55 cnf(981,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x9811),f43(f43(f27(a1),x9812),x9811)))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,924,260,312,965,970,973,356,362,372,929,932,935,938,941,348,376,259,906,909,918,303,317,198,203,208,209,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667])). % 2.46/2.55 cnf(983,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x9831),f43(f43(f27(a1),x9831),x9832)))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,924,260,312,965,970,973,356,362,372,929,932,935,938,941,348,376,259,906,909,918,303,317,198,203,208,209,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669])). % 2.46/2.55 cnf(985,plain, % 2.46/2.55 (P7(x9851,f43(f43(f21(f54(x9852,a1)),f36(f54(x9852,a1))),x9853),x9852,x9854)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,924,260,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,303,246,317,198,203,208,209,213,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690])). % 2.46/2.55 cnf(992,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9921,a1)),x9922),x9922))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(997,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9971,a1)),f43(x9972,x9973)),f19(f39(f54(x9974,a1)),x9972,x9974,f54(x9971,a1))))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,218,220,953,214,336,279,258,215,236,245,924,992,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,317,198,203,208,209,213,230,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786])). % 2.46/2.55 cnf(998,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x9981,a1)),x9982),x9982))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(1011,plain, % 2.46/2.55 (P25(f45(x10111,f39(f54(x10112,a1)),x10112))), % 2.46/2.55 inference(rename_variables,[],[230])). % 2.46/2.55 cnf(1013,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10131,a1)),f9(f39(f54(x10132,a1)),x10133,x10132,f54(x10131,a1))),f43(x10133,x10134)))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,317,198,203,208,209,213,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763])). % 2.46/2.55 cnf(1014,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10141,a1)),x10142),x10142))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(1021,plain, % 2.46/2.55 (P3(f32(f43(f43(f38(x10211),a1),f36(f54(x10211,a1))),x10211))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,317,198,199,200,201,202,203,208,209,213,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158])). % 2.46/2.55 cnf(1026,plain, % 2.46/2.55 (P11(f32(f43(f43(f38(x10261),a1),f36(f54(x10261,a1))),x10261))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,317,198,199,200,201,202,203,204,205,206,207,208,209,213,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163])). % 2.46/2.55 cnf(1030,plain, % 2.46/2.55 (P4(f36(f54(x10301,a1)),x10301)), % 2.46/2.55 inference(rename_variables,[],[213])). % 2.46/2.55 cnf(1031,plain, % 2.46/2.55 (P4(f36(f54(f43(f23(x10311,x10312,x10313,x10314,x10315),x10316),a1)),f43(f23(x10311,x10312,x10317,x10314,x10318),x10316))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,317,198,199,200,201,202,203,204,205,206,207,208,209,210,213,1030,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167])). % 2.46/2.55 cnf(1032,plain, % 2.46/2.55 (P4(f36(f54(x10321,a1)),x10321)), % 2.46/2.55 inference(rename_variables,[],[213])). % 2.46/2.55 cnf(1034,plain, % 2.46/2.55 (P7(x10341,f36(f54(x10342,a1)),x10342,x10343)), % 2.46/2.55 inference(rename_variables,[],[246])). % 2.46/2.55 cnf(1035,plain, % 2.46/2.55 (P7(x10351,f36(f54(f43(f23(x10352,x10353,x10354,x10355,x10356),x10357),a1)),f43(f23(x10352,x10353,x10358,x10355,x10359),x10357),x103510)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,1034,317,198,199,200,201,202,203,204,205,206,207,208,209,210,213,1030,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,175,176])). % 2.46/2.55 cnf(1036,plain, % 2.46/2.55 (P7(x10361,f36(f54(x10362,a1)),x10362,x10363)), % 2.46/2.55 inference(rename_variables,[],[246])). % 2.46/2.55 cnf(1037,plain, % 2.46/2.55 (P8(f6(f6(a5,a1,f43(f23(x10371,x10372,x10373,x10374,x10375),x10376)),f54(f43(f23(x10371,x10372,x10373,x10374,x10375),x10376),a1),f43(f23(x10371,x10372,x10373,x10374,x10375),x10376)),f43(f23(x10371,x10372,x10377,x10374,x10378),x10376))), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,1034,317,198,199,200,201,202,203,204,205,206,207,208,209,210,255,213,1030,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,175,176,193])). % 2.46/2.55 cnf(1039,plain, % 2.46/2.55 (P4(f42(x10391,f36(f54(x10392,a1)),x10392,x10393),x10393)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,258,215,236,245,924,992,998,1014,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,1034,317,198,199,200,201,202,203,204,205,206,207,208,209,210,255,213,1030,1032,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,175,176,193,748])). % 2.46/2.55 cnf(1040,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10401,a1)),x10402),x10402))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(1046,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10461,a1)),x10462),x10462))), % 2.46/2.55 inference(rename_variables,[],[245])). % 2.46/2.55 cnf(1061,plain, % 2.46/2.55 (E(f43(f43(f28(a1),x10611),f43(f43(f27(a1),x10612),x10611)),x10611)), % 2.46/2.55 inference(scs_inference,[],[378,869,345,339,218,871,220,953,214,336,950,279,321,258,215,236,245,924,992,998,1014,1040,1046,260,979,312,965,970,973,978,356,362,372,929,932,935,938,941,348,376,259,906,909,918,921,303,246,1034,1036,317,198,199,200,201,202,203,204,205,206,207,208,209,210,255,213,1030,1032,230,1011,373,962,416,417,434,453,496,536,562,563,565,593,594,595,596,660,664,672,703,721,727,731,732,758,759,772,778,826,827,828,829,832,833,2,380,802,170,171,533,534,535,576,580,590,631,633,663,667,669,690,706,715,780,786,812,835,3,168,604,763,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,175,176,193,748,707,774,775,442,477,478,479,480])). % 2.46/2.55 cnf(1076,plain, % 2.46/2.55 (P6(x10761,f43(f43(f38(f50(a48)),f29(f6(f36(f54(x10762,a1)),x10763,x10764),x10765,x10766,a48)),f36(f54(f50(a48),a1))),a48)), % 2.46/2.55 inference(scs_inference,[],[870,792])). % 2.46/2.55 cnf(1077,plain, % 2.46/2.55 (~P25(f43(f43(f6(f36(f54(x10771,a1)),x10772,x10773),x10774),x10775))), % 2.46/2.55 inference(rename_variables,[],[870])). % 2.46/2.55 cnf(1085,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10851,a1)),f9(f39(f54(x10852,a1)),x10853,x10852,f54(x10851,a1))),f43(x10853,x10854)))), % 2.46/2.55 inference(rename_variables,[],[1013])). % 2.46/2.55 cnf(1089,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10891,a1)),x10892),f19(f39(f54(x10893,a1)),f43(f38(x10891),x10894),x10893,f54(x10891,a1))))), % 2.46/2.55 inference(scs_inference,[],[313,870,969,997,1013,792,793,594,732,593,721])). % 2.46/2.55 cnf(1090,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x10901,a1)),f43(x10902,x10903)),f19(f39(f54(x10904,a1)),x10902,x10904,f54(x10901,a1))))), % 2.46/2.55 inference(rename_variables,[],[997])). % 2.46/2.55 cnf(1093,plain, % 2.46/2.55 (E(x10931,f32(f43(f43(f38(x10932),x10931),f36(f54(x10932,a1))),x10932))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1095,plain, % 2.46/2.55 (~E(f42(x10951,f42(x10952,f39(f54(x10953,a1)),x10953,x10954),x10954,x10955),f36(f54(x10955,a1)))), % 2.46/2.55 inference(scs_inference,[],[313,870,900,969,997,888,1013,792,793,594,732,593,721,417,565])). % 2.46/2.55 cnf(1099,plain, % 2.46/2.55 (P4(x10991,f32(f43(f43(f38(x10992),a1),f36(f54(x10992,a1))),x10992))), % 2.46/2.55 inference(scs_inference,[],[313,870,900,969,997,888,1013,1026,792,793,594,732,593,721,417,565,562,380])). % 2.46/2.55 cnf(1115,plain, % 2.46/2.55 (E(f43(f43(f27(f54(x11151,a1)),f19(f36(f54(x11152,a1)),x11153,x11152,f54(x11151,a1))),x11154),x11154)), % 2.46/2.55 inference(rename_variables,[],[310])). % 2.46/2.55 cnf(1122,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11221,a1)),f42(x11222,x11223,x11224,x11221)),f42(x11222,f43(f43(f38(x11224),x11225),f43(f43(f38(x11224),x11226),x11223)),x11224,x11221)))), % 2.46/2.55 inference(scs_inference,[],[310,313,870,900,969,908,903,997,1090,888,1013,1026,289,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778])). % 2.46/2.55 cnf(1128,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11281,a1)),f9(f39(f54(x11282,a1)),f43(f28(f54(x11281,a1)),x11283),x11282,f54(x11281,a1))),x11284))), % 2.46/2.55 inference(scs_inference,[],[310,313,870,1077,900,969,908,903,997,1090,888,1013,1085,1026,289,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731])). % 2.46/2.55 cnf(1134,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11341,a1)),x11342),f43(f43(f38(x11341),x11343),f43(f43(f38(x11341),x11344),x11342))))), % 2.46/2.55 inference(rename_variables,[],[908])). % 2.46/2.55 cnf(1136,plain, % 2.46/2.55 (E(x11361,f43(f43(f27(f54(x11362,a1)),f43(f43(f21(f54(x11362,a1)),x11361),x11363)),f43(f43(f28(f54(x11362,a1)),x11361),x11363)))), % 2.46/2.55 inference(scs_inference,[],[292,310,313,870,1077,900,969,908,903,926,997,1090,888,1013,1085,1026,289,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2])). % 2.46/2.55 cnf(1138,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(x11381,x11382)),f43(x11381,x11382)))), % 2.46/2.55 inference(rename_variables,[],[975])). % 2.46/2.55 cnf(1141,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(x11411,x11412)),f43(x11411,x11412)))), % 2.46/2.55 inference(rename_variables,[],[975])). % 2.46/2.55 cnf(1144,plain, % 2.46/2.55 (E(x11441,f32(f43(f43(f38(x11442),x11441),f36(f54(x11442,a1))),x11442))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1146,plain, % 2.46/2.55 (~P25(f43(f43(f6(f36(f54(x11461,a1)),x11462,x11463),x11464),x11465))), % 2.46/2.55 inference(rename_variables,[],[870])). % 2.46/2.55 cnf(1148,plain, % 2.46/2.55 (P7(x11481,f42(x11481,f36(f54(x11482,a1)),x11482,x11482),x11482,x11482)), % 2.46/2.55 inference(scs_inference,[],[292,310,313,875,870,1077,900,1093,969,908,903,926,997,1090,975,1138,888,1013,1085,1026,1037,289,1039,204,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753])). % 2.46/2.55 cnf(1156,plain, % 2.46/2.55 (E(x11561,f32(f43(f43(f38(x11562),x11561),f36(f54(x11562,a1))),x11562))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1159,plain, % 2.46/2.55 (P7(f43(f8(f38(x11591),x11591,f54(x11591,a1),f54(x11591,a1)),f36(f54(x11591,a1))),f39(f54(x11591,a1)),x11591,f32(f43(f43(f38(x11592),f54(x11591,a1)),f36(f54(x11592,a1))),x11592))), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,875,870,1077,900,1093,1144,1156,969,908,903,926,997,1090,975,1138,888,256,1013,1085,1026,1037,289,1039,317,204,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177])). % 2.46/2.55 cnf(1160,plain, % 2.46/2.55 (E(x11601,f32(f43(f43(f38(x11602),x11601),f36(f54(x11602,a1))),x11602))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1162,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11621,a1)),x11622),f43(f43(f38(x11621),x11623),f43(f43(f38(x11621),x11624),x11622))))), % 2.46/2.55 inference(rename_variables,[],[908])). % 2.46/2.55 cnf(1166,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(f43(f43(f28(f54(x11661,a1)),x11662),x11663),x11664)),f43(x11663,x11664)))), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,875,870,1077,900,1093,1144,1156,969,908,1134,903,926,997,1090,975,1138,1141,888,256,1013,1085,1026,1037,289,1039,317,209,204,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633])). % 2.46/2.55 cnf(1168,plain, % 2.46/2.55 (P7(x11681,f43(f43(f28(f54(x11682,a1)),x11683),f43(f43(f21(f54(x11682,a1)),f36(f54(x11682,a1))),x11684)),x11682,x11685)), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,875,870,1077,985,900,1093,1144,1156,969,908,1134,903,926,997,1090,975,1138,1141,888,256,1013,1085,1026,1037,289,1039,317,209,204,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690])). % 2.46/2.55 cnf(1169,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11691,a1)),f43(f43(f28(f54(x11691,a1)),x11692),x11693)),x11693))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1172,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11721,a1)),f43(f43(f28(f54(x11721,a1)),x11722),x11723)),x11723))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1174,plain, % 2.46/2.55 (E(f36(f54(x11741,a1)),f43(f43(f28(f54(x11741,a1)),x11742),f36(f54(x11741,a1))))), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,1169,1172,875,870,1077,972,985,900,1093,1144,1156,969,908,1134,903,926,997,1090,975,1138,1141,888,260,256,1013,1085,1026,1037,289,1039,317,209,204,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663])). % 2.46/2.55 cnf(1175,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11751,a1)),f43(f43(f28(f54(x11751,a1)),x11752),x11753)),x11753))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1176,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11761,a1)),f36(f54(x11761,a1))),x11762))), % 2.46/2.55 inference(rename_variables,[],[260])). % 2.46/2.55 cnf(1179,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11791,a1)),f43(f43(f28(f54(x11791,a1)),x11792),x11793)),x11793))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1182,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11821,a1)),f43(f43(f28(f54(x11821,a1)),x11822),x11823)),x11823))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1188,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x11881),f43(f43(f27(a1),x11882),f43(f43(f27(a1),x11883),x11881))))), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,1169,1172,1175,1179,875,870,1077,972,985,900,1093,1144,1156,969,964,908,1134,903,926,997,1090,975,1138,1141,981,888,260,256,1013,1085,1026,1037,289,1039,317,209,204,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667])). % 2.46/2.55 cnf(1189,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x11891),f43(f43(f27(a1),x11892),x11891)))), % 2.46/2.55 inference(rename_variables,[],[981])). % 2.46/2.55 cnf(1193,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11931,a1)),f43(x11932,x11933)),f43(f43(f38(x11931),x11934),f43(f43(f38(x11931),x11935),f19(f43(f44(x11936),x11933),x11932,x11937,f54(x11931,a1))))))), % 2.46/2.55 inference(scs_inference,[],[949,292,310,313,1169,1172,1175,1179,875,870,1077,972,985,900,1093,1144,1156,969,964,908,1134,1162,903,926,997,1090,975,1138,1141,981,888,260,256,1013,1085,1026,1037,289,1039,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786])). % 2.46/2.55 cnf(1194,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x11941,a1)),x11942),f43(f43(f38(x11941),x11943),f43(f43(f38(x11941),x11944),x11942))))), % 2.46/2.55 inference(rename_variables,[],[908])). % 2.46/2.55 cnf(1213,plain, % 2.46/2.55 (~P25(f43(f43(f43(f28(f54(x12131,a1)),x12132),f43(f6(f36(f54(x12133,a1)),x12134,x12135),x12136)),x12137))), % 2.46/2.55 inference(scs_inference,[],[952,949,292,310,313,1169,1172,1175,1179,1182,875,870,1077,1146,972,985,900,1093,1144,1156,969,964,908,1134,1162,903,926,997,1090,1061,975,1138,1141,981,888,258,260,1176,256,1013,1085,1021,1026,1037,289,1039,205,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786,533,706,715,419,580,534,604,590])). % 2.46/2.55 cnf(1214,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x12141,a1)),f43(f43(f28(f54(x12141,a1)),x12142),x12143)),x12143))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1219,plain, % 2.46/2.55 (E(x12191,f32(f43(f43(f38(x12192),x12191),f36(f54(x12192,a1))),x12192))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1222,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x12221),f43(f43(f27(a1),x12222),f43(f43(f27(a1),x12221),x12223))))), % 2.46/2.55 inference(scs_inference,[],[954,952,949,292,310,1115,313,1169,1172,1175,1179,1182,875,870,1077,1146,972,985,900,1093,1144,1156,1160,969,964,908,1134,1162,903,926,997,1090,1061,975,1138,1141,981,1189,888,258,260,1176,256,1013,1085,1021,1026,1037,289,1039,205,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786,533,706,715,419,580,534,604,590,3,171,499,669])). % 2.46/2.55 cnf(1223,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x12231),f43(f43(f27(a1),x12232),x12231)))), % 2.46/2.55 inference(rename_variables,[],[981])). % 2.46/2.55 cnf(1226,plain, % 2.46/2.55 (E(x12261,f32(f43(f43(f38(x12262),x12261),f36(f54(x12262,a1))),x12262))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1228,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x12281,a1)),f43(f43(f28(f54(x12281,a1)),x12282),x12283)),x12283))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1231,plain, % 2.46/2.55 (E(x12311,f32(f43(f43(f38(x12312),x12311),f36(f54(x12312,a1))),x12312))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1235,plain, % 2.46/2.55 (E(f43(f43(f28(a1),x12351),f43(f43(f27(a1),x12351),x12352)),x12351)), % 2.46/2.55 inference(scs_inference,[],[954,952,949,292,310,1115,313,1169,1172,1175,1179,1182,1214,875,870,1077,1146,972,985,900,1093,1144,1156,1160,1219,1226,969,964,908,1134,1162,1194,903,926,997,1090,1061,975,1138,1141,981,1189,983,888,258,260,1176,256,1013,1085,1021,1026,1037,1031,289,1039,205,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786,533,706,715,419,580,534,604,590,3,171,499,669,167,576,170,780,480])). % 2.46/2.55 cnf(1237,plain, % 2.46/2.55 (P8(f6(f6(a5,a1,f43(f23(x12371,x12372,x12373,x12374,x12375),x12376)),f54(f43(f23(x12371,x12372,x12373,x12374,x12375),x12376),a1),f43(f23(x12371,x12372,x12373,x12374,x12375),x12376)),f32(f43(f43(f38(x12377),f43(f23(x12371,x12372,x12378,x12374,x12379),x12376)),f36(f54(x12377,a1))),x12377))), % 2.46/2.55 inference(scs_inference,[],[954,952,949,292,310,1115,313,1169,1172,1175,1179,1182,1214,875,870,1077,1146,972,985,900,1093,1144,1156,1160,1219,1226,1231,969,964,908,1134,1162,1194,903,926,997,1090,1061,975,1138,1141,981,1189,983,888,258,260,1176,256,1013,1085,1021,1026,1037,1031,289,1039,205,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786,533,706,715,419,580,534,604,590,3,171,499,669,167,576,170,780,480,193])). % 2.46/2.55 cnf(1238,plain, % 2.46/2.55 (E(x12381,f32(f43(f43(f38(x12382),x12381),f36(f54(x12382,a1))),x12382))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1240,plain, % 2.46/2.55 (E(x12401,f32(f43(f43(f38(x12402),x12401),f36(f54(x12402,a1))),x12402))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1242,plain, % 2.46/2.55 (E(x12421,f32(f43(f43(f38(x12422),x12421),f36(f54(x12422,a1))),x12422))), % 2.46/2.55 inference(rename_variables,[],[900])). % 2.46/2.55 cnf(1249,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x12491,a1)),f43(f43(f28(f54(x12491,a1)),x12492),x12493)),x12493))), % 2.46/2.55 inference(rename_variables,[],[313])). % 2.46/2.55 cnf(1269,plain, % 2.46/2.55 (P25(f45(f43(f43(f8(f38(x12691),x12691,f54(x12691,a1),f54(x12691,a1)),f36(f54(x12691,a1))),f12(x12692)),f43(f43(f38(x12693),x12694),f42(f43(f8(f38(x12691),x12691,f54(x12691,a1),f54(x12691,a1)),f36(f54(x12691,a1))),f43(f44(x12695),f12(x12692)),x12696,x12693)),x12693))), % 2.46/2.55 inference(scs_inference,[],[378,954,952,949,292,310,1115,313,1169,1172,1175,1179,1182,1214,1228,1249,875,870,1077,1146,972,985,967,900,1093,1144,1156,1160,1219,1226,1231,1238,1240,1242,969,964,908,1134,1162,1194,903,926,997,1090,1061,975,1138,1141,981,1189,1223,983,888,258,260,1176,256,1013,1085,1021,1026,1035,1037,1031,289,304,1039,947,205,317,209,204,200,198,792,793,594,732,593,721,417,565,562,380,595,596,434,563,660,758,416,772,759,778,672,453,731,727,703,2,598,600,192,834,753,796,174,652,177,701,479,633,690,631,663,763,748,478,477,667,498,786,533,706,715,419,580,534,604,590,3,171,499,669,167,576,170,780,480,193,166,176,168,175,810,707,714,610,608,826,827,704,602])). % 2.46/2.55 cnf(1282,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x12821,a1)),f9(f39(f54(x12822,a1)),f43(f28(f54(x12821,a1)),x12823),x12822,f54(x12821,a1))),x12824))), % 2.46/2.55 inference(rename_variables,[],[1128])). % 2.46/2.55 cnf(1305,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13051,a1)),x13052),f19(f39(f54(x13053,a1)),f43(f38(x13051),x13054),x13053,f54(x13051,a1))))), % 2.46/2.55 inference(rename_variables,[],[1089])). % 2.46/2.55 cnf(1324,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13241,a1)),x13242),f43(f43(f38(x13241),x13243),f43(f43(f27(f54(x13241,a1)),x13244),x13242))))), % 2.46/2.55 inference(rename_variables,[],[917])). % 2.46/2.55 cnf(1331,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13311,a1)),f9(f39(f54(x13312,a1)),f43(f28(f54(x13311,a1)),x13313),x13312,f54(x13311,a1))),x13314))), % 2.46/2.55 inference(rename_variables,[],[1128])). % 2.46/2.55 cnf(1336,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13361,a1)),f43(f43(f28(f54(x13361,a1)),x13362),x13363)),x13362))), % 2.46/2.55 inference(rename_variables,[],[314])). % 2.46/2.55 cnf(1339,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(f43(f43(f28(f54(x13391,a1)),x13392),x13393),x13394)),f43(x13393,x13394)))), % 2.46/2.55 inference(rename_variables,[],[1166])). % 2.46/2.55 cnf(1342,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13421,a1)),f43(f43(f28(f54(x13421,a1)),x13422),x13423)),x13422))), % 2.46/2.55 inference(rename_variables,[],[314])). % 2.46/2.55 cnf(1349,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13491,a1)),x13492),f43(f43(f38(x13491),x13493),f43(f43(f27(f54(x13491,a1)),x13494),x13492))))), % 2.46/2.55 inference(rename_variables,[],[917])). % 2.46/2.55 cnf(1352,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),x13521),f43(f43(f27(a1),x13521),x13522)))), % 2.46/2.55 inference(rename_variables,[],[983])). % 2.46/2.55 cnf(1355,plain, % 2.46/2.55 (~P25(f43(f43(f43(f28(f54(x13551,a1)),x13552),f43(f6(f36(f54(x13553,a1)),x13554,x13555),x13556)),x13557))), % 2.46/2.55 inference(rename_variables,[],[1213])). % 2.46/2.55 cnf(1359,plain, % 2.46/2.55 (P25(f45(x13591,f43(f43(f38(x13592),x13593),f43(f43(f38(x13592),x13591),x13594)),x13592))), % 2.46/2.55 inference(rename_variables,[],[905])). % 2.46/2.55 cnf(1367,plain, % 2.46/2.55 (P25(f43(f43(f46(a1),f43(f43(f43(f28(f54(x13671,a1)),x13672),x13673),x13674)),f43(x13673,x13674)))), % 2.46/2.55 inference(rename_variables,[],[1166])). % 2.46/2.55 cnf(1384,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13841,a1)),f43(f43(f28(f54(x13841,a1)),x13842),x13843)),x13842))), % 2.46/2.55 inference(rename_variables,[],[314])). % 2.46/2.55 cnf(1387,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13871,a1)),f43(f43(f28(f54(x13871,a1)),x13872),x13873)),x13872))), % 2.46/2.55 inference(rename_variables,[],[314])). % 2.46/2.55 cnf(1393,plain, % 2.46/2.55 (E(x13931,f43(f43(f27(f54(x13932,a1)),f43(f43(f21(f54(x13932,a1)),x13931),x13933)),f43(f43(f28(f54(x13932,a1)),x13931),x13933)))), % 2.46/2.55 inference(rename_variables,[],[1136])). % 2.46/2.55 cnf(1395,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x13951,a1)),x13952),f43(f43(f38(x13951),x13953),f43(f43(f27(f54(x13951,a1)),x13954),x13952))))), % 2.46/2.55 inference(rename_variables,[],[917])). % 2.46/2.55 cnf(1406,plain, % 2.46/2.55 (E(x14061,f43(f43(f27(f54(x14062,a1)),f43(f43(f21(f54(x14062,a1)),x14061),x14063)),f43(f43(f28(f54(x14062,a1)),x14061),x14063)))), % 2.46/2.55 inference(rename_variables,[],[1136])). % 2.46/2.55 cnf(1408,plain, % 2.46/2.55 (P25(f43(f43(f46(f54(x14081,a1)),x14082),f43(f43(f38(x14081),x14083),f43(f43(f27(f54(x14081,a1)),x14084),x14082))))), % 2.46/2.55 inference(rename_variables,[],[917])). % 2.46/2.55 cnf(1411,plain, % 2.46/2.55 (P4(f43(f43(f21(f54(x14111,a1)),f36(f54(x14111,a1))),x14112),x14111)), % 2.46/2.55 inference(rename_variables,[],[964])). % 2.46/2.55 cnf(1421,plain, % 2.46/2.55 (E(x14211,f43(f43(f27(f54(x14212,a1)),f43(f43(f21(f54(x14212,a1)),x14211),x14213)),f43(f43(f28(f54(x14212,a1)),x14211),x14213)))), % 2.46/2.55 inference(rename_variables,[],[1136])). % 2.46/2.55 cnf(1428,plain, % 2.46/2.55 (E(x14281,f43(f43(f27(f54(x14282,a1)),f43(f43(f21(f54(x14282,a1)),x14281),x14283)),f43(f43(f28(f54(x14282,a1)),x14281),x14283)))), % 2.46/2.55 inference(rename_variables,[],[1136])). % 2.46/2.55 cnf(1434,plain, % 2.46/2.55 (E(x14341,f43(f43(f27(f54(x14342,a1)),f43(f43(f21(f54(x14342,a1)),x14341),x14343)),f43(f43(f28(f54(x14342,a1)),x14341),x14343)))), % 2.46/2.55 inference(rename_variables,[],[1136])). % 2.46/2.55 cnf(1440,plain, % 2.46/2.55 (E(f32(f43(f43(f38(x14401),x14402),f36(f54(x14401,a1))),x14401),x14402)), % 2.46/2.55 inference(rename_variables,[],[960])). % 2.46/2.55 cnf(1462,plain, % 2.46/2.55 (~E(f6(f36(f54(x14621,a1)),x14622,x14623),f6(f6(a5,a1,a51),f54(a51,a1),a48))), % 2.46/2.55 inference(scs_inference,[],[378,1076,960,1440,964,1411,266,905,1359,917,1324,1349,1395,1408,920,314,1336,1342,1384,1387,967,903,972,313,1269,1213,1355,1168,1136,1393,1406,1421,1428,1434,1122,1193,1128,1282,1331,1089,1305,1235,1166,1339,1367,1188,1222,1095,1174,983,1352,985,258,260,372,1159,1237,290,289,1021,1037,1148,1099,199,205,209,200,204,198,608,565,417,595,758,672,594,596,721,593,772,563,660,778,562,434,416,453,727,703,2,602,753,701,600,690,477,479,631,667,835,834,633,419,598,669,533,796,652,478,177,763,748,694,192,590,534,663,498,174,786,167,604,780,499,171,480,576,193,176,3,175,170,166,168,560,561,810,4,687,688,5,567,190,535,47])). % 2.46/2.55 cnf(1468,plain, % 2.46/2.55 ($false), % 2.46/2.55 inference(scs_inference,[],[1462,214,26]), % 2.46/2.55 ['proof']). % 2.46/2.55 % SZS output end Proof % 2.46/2.55 % Total time :1.640000s %------------------------------------------------------------------------------