%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV861-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 16:48:44 EDT 2024 % Result : Unsatisfiable 1.39s 1.39s % Output : CNFRefutation 1.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV861-1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Jun 20 14:25:54 EDT 2024 % 0.14/0.34 % CPUTime : % 0.57/0.61 start to proof:theBenchmark % 1.28/1.36 %------------------------------------------- % 1.28/1.36 % File :CSE---1.7 % 1.28/1.36 % Problem :theBenchmark % 1.28/1.36 % Transform :cnf % 1.28/1.36 % Format :tptp:raw % 1.28/1.36 % Command :java -jar mcs_scs.jar %d %s % 1.28/1.36 % 1.28/1.36 % Result :Theorem 0.530000s % 1.28/1.36 % Output :CNFRefutation 0.530000s % 1.28/1.36 %------------------------------------------- % 1.28/1.36 %------------------------------------------------------------------------------ % 1.28/1.36 % File : SWV861-1 : TPTP v8.2.0. Released v4.1.0. % 1.28/1.36 % Domain : Software Verification % 1.28/1.36 % Problem : Hoare logic with procedures 295_1 % 1.28/1.36 % Version : Especial. % 1.28/1.36 % English : Completeness is taken relative to completeness of the underlying % 1.28/1.36 % logic. Two versions of completeness proof: nested single recursion % 1.28/1.36 % and simultaneous recursion in call rule. % 1.28/1.36 % 1.28/1.36 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.28/1.36 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.28/1.36 % Source : [Nip10] % 1.28/1.36 % Names : Hoare-295_1 [Nip10] % 1.28/1.36 % 1.28/1.36 % Status : Unsatisfiable % 1.28/1.36 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.55 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0 % 1.28/1.36 % Syntax : Number of clauses : 606 ( 165 unt; 86 nHn; 323 RR) % 1.28/1.36 % Number of literals : 1354 ( 310 equ; 695 neg) % 1.28/1.36 % Maximal clause size : 5 ( 2 avg) % 1.28/1.36 % Maximal term depth : 7 ( 2 avg) % 1.28/1.36 % Number of predicates : 26 ( 25 usr; 0 prp; 1-9 aty) % 1.28/1.36 % Number of functors : 68 ( 68 usr; 18 con; 0-6 aty) % 1.28/1.36 % Number of variables : 2290 ( 376 sgn) % 1.28/1.36 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.28/1.36 % 1.28/1.36 % Comments : % 1.28/1.36 %------------------------------------------------------------------------------ % 1.28/1.36 cnf(cls_psubset__eq_0,axiom, % 1.28/1.36 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_less__fun__def_0,axiom, % 1.28/1.36 ( ~ class_HOL_Oord(T_b) % 1.28/1.36 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 1.28/1.36 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_sup__absorb1_0,axiom, % 1.28/1.36 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.36 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.28/1.36 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_le__iff__sup_1,axiom, % 1.28/1.36 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.36 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.28/1.36 | c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_le__iff__sup_0,axiom, % 1.28/1.36 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.36 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.28/1.36 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Un__absorb1_0,axiom, % 1.28/1.36 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.28/1.36 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Un__absorb2_0,axiom, % 1.28/1.36 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.28/1.36 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_subset__Un__eq_1,axiom, % 1.28/1.36 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 1.28/1.36 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_fun__upd__idem_0,axiom, % 1.28/1.36 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 1.28/1.36 % 1.28/1.36 cnf(cls_fun__upd__same_0,axiom, % 1.28/1.36 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 1.28/1.36 % 1.28/1.36 cnf(cls_fun__upd__triv_0,axiom, % 1.28/1.36 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 1.28/1.36 % 1.28/1.36 cnf(cls_fun__upd__apply_0,axiom, % 1.28/1.36 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 1.28/1.36 % 1.28/1.36 cnf(cls_fun__upd__idem__iff_1,axiom, % 1.28/1.36 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 1.28/1.36 % 1.28/1.36 cnf(cls_subset__empty_0,axiom, % 1.28/1.36 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_subset__empty_1,axiom, % 1.28/1.36 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Un__mono_0,axiom, % 1.28/1.36 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Int__lower1_0,axiom, % 1.28/1.36 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Int__lower2_0,axiom, % 1.28/1.36 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Int__greatest_0,axiom, % 1.28/1.36 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Int__subset__iff_2,axiom, % 1.28/1.36 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.36 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_sup__inf__distrib2_0,axiom, % 1.28/1.36 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.28/1.36 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_sup__inf__distrib1_0,axiom, % 1.28/1.36 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.28/1.36 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Un__Int__distrib_0,axiom, % 1.28/1.36 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_Un__Int__distrib2_0,axiom, % 1.28/1.36 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_le__sup__iff_1,axiom, % 1.28/1.36 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.36 | c_lessequals(V_y,V_z,T_a) % 1.28/1.36 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.28/1.36 % 1.28/1.36 cnf(cls_le__sup__iff_0,axiom, % 1.28/1.36 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_lessequals(V_x,V_z,T_a) % 1.28/1.37 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_le__supI2_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.28/1.37 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_le__supI1_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.28/1.37 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_le__supE_1,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_lessequals(V_b,V_x,T_a) % 1.28/1.37 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_le__supE_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_lessequals(V_a,V_x,T_a) % 1.28/1.37 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__subset__iff_0,axiom, % 1.28/1.37 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__subset__iff_1,axiom, % 1.28/1.37 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_equalityE_0,axiom, % 1.28/1.37 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__refl_0,axiom, % 1.28/1.37 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__trans_0,axiom, % 1.28/1.37 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__inj__on_0,axiom, % 1.28/1.37 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_predicate1D_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(V_Q,V_x)) % 1.28/1.37 | ~ hBOOL(hAPP(V_P,V_x)) % 1.28/1.37 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_psubset__subset__trans_0,axiom, % 1.28/1.37 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__psubset__trans_0,axiom, % 1.28/1.37 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_rev__predicate1D_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(V_Q,V_x)) % 1.28/1.37 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Int__mono_0,axiom, % 1.28/1.37 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__Un_0,axiom, % 1.28/1.37 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fun__upd__apply_1,axiom, % 1.28/1.37 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 1.28/1.37 | V_z = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fun__upd__other_0,axiom, % 1.28/1.37 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 1.28/1.37 | V_z = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_double__diff_0,axiom, % 1.28/1.37 ( 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 % 1.28/1.37 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__mono_0,axiom, % 1.28/1.37 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__image__iff_2,axiom, % 1.28/1.37 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 1.28/1.37 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_insert__mono_0,axiom, % 1.28/1.37 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__empty_2,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_psubset__eq_2,axiom, % 1.28/1.37 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | V_A = V_B % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__iff__psubset__eq_0,axiom, % 1.28/1.37 ( V_A = V_B % 1.28/1.37 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__Un_0,axiom, % 1.28/1.37 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fold__graph_OinsertI_0,axiom, % 1.28/1.37 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.28/1.37 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insert_0,axiom, % 1.28/1.37 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insert_1,axiom, % 1.28/1.37 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insert__iff_1,axiom, % 1.28/1.37 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.37 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insert__iff_2,axiom, % 1.28/1.37 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_insert__subset_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.37 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_insert__subset_2,axiom, % 1.28/1.37 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_distrib__inf__le_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_distrib__sup__le_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__subset__iff_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B)) % 1.28/1.37 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.28/1.37 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fun__upd__image_1,axiom, % 1.28/1.37 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.28/1.37 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__upper_0,axiom, % 1.28/1.37 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 1.28/1.37 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__subset__iff_0,axiom, % 1.28/1.37 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I)) % 1.28/1.37 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__absorb_0,axiom, % 1.28/1.37 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 1.28/1.37 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_insert__is__Un_0,axiom, % 1.28/1.37 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__singletonD_0,axiom, % 1.28/1.37 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.28/1.37 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_pred__subset__eq_0,axiom, % 1.28/1.37 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_pred__subset__eq_1,axiom, % 1.28/1.37 ( c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__insert_0,axiom, % 1.28/1.37 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__Int__subset_0,axiom, % 1.28/1.37 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__extend__simps_I10_J_0,axiom, % 1.28/1.37 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),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)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_UN__simps_I10_J_0,axiom, % 1.28/1.37 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,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 1.28/1.37 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 1.28/1.37 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 1.28/1.37 | V_A = V_B ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_card__image_0,axiom, % 1.28/1.37 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a) % 1.28/1.37 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__diff__subset_0,axiom, % 1.28/1.37 c_lessequals(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),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__Diff__Int_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Diff__Un_0,axiom, % 1.28/1.37 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(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),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Diff__Int_0,axiom, % 1.28/1.37 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_image__vimage__subset_0,axiom, % 1.28/1.37 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inf__sup__absorb_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_set__eq__subset_2,axiom, % 1.28/1.37 ( V_A = V_B % 1.28/1.37 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_equalityI_0,axiom, % 1.28/1.37 ( V_A = V_B % 1.28/1.37 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__inf__absorb_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_less__fun__def_2,axiom, % 1.28/1.37 ( ~ class_HOL_Oord(T_b) % 1.28/1.37 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) % 1.28/1.37 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 1.28/1.37 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Diff__mono_0,axiom, % 1.28/1.37 ( c_lessequals(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),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fun__upd__upd_0,axiom, % 1.28/1.37 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__empty__right_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__empty__left_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__bot__left_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__bot__right_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup1CI_1,axiom, % 1.28/1.37 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.28/1.37 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup1CI_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.28/1.37 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup1E_0,axiom, % 1.28/1.37 ( hBOOL(hAPP(V_B,V_x)) % 1.28/1.37 | hBOOL(hAPP(V_A,V_x)) % 1.28/1.37 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_fun__upd__twist_0,axiom, % 1.28/1.37 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b) % 1.28/1.37 | V_a = V_c ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__Int__assoc__eq_1,axiom, % 1.28/1.37 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__Int__assoc__eq_0,axiom, % 1.28/1.37 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.37 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_empty__fold__graphE_0,axiom, % 1.28/1.37 ( V_x = V_z % 1.28/1.37 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insertI_0,axiom, % 1.28/1.37 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_empty__subsetI_0,axiom, % 1.28/1.37 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__insert__right_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__insert__left_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_setsum__subtractf_0,axiom, % 1.28/1.37 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.28/1.37 | c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a),V_A,T_b,T_a) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_subset__insertI2_0,axiom, % 1.28/1.37 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_insert__subset_1,axiom, % 1.28/1.37 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.37 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Int__Un__distrib2_0,axiom, % 1.28/1.37 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Int__Un__distrib_0,axiom, % 1.28/1.37 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inf__sup__distrib1_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.28/1.37 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inf__sup__distrib2_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.28/1.37 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__absorb_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__idem_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_less__fun__def_1,axiom, % 1.28/1.37 ( ~ class_HOL_Oord(T_b) % 1.28/1.37 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 1.28/1.37 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__left__commute_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Un__assoc_0,axiom, % 1.28/1.37 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__assoc_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_sup__left__commute_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.28/1.37 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.37 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Int__absorb2_0,axiom, % 1.28/1.37 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.28/1.37 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.37 % 1.28/1.37 cnf(cls_Int__absorb1_0,axiom, % 1.28/1.37 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.28/1.37 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__subset__iff_2,axiom, % 1.28/1.38 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__upper2_0,axiom, % 1.28/1.38 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__upper1_0,axiom, % 1.28/1.38 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__least_0,axiom, % 1.28/1.38 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_le__supI_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_b,V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__ge1_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__ge2_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__least_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_z,V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_le__sup__iff_2,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.28/1.38 | ~ c_lessequals(V_y,V_z,T_a) % 1.28/1.38 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__partition_0,axiom, % 1.28/1.38 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),tc_fun(T_a,tc_bool)) = V_B % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__subset_0,axiom, % 1.28/1.38 c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__Int__crazy_0,axiom, % 1.28/1.38 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_fold__graph_OemptyI_0,axiom, % 1.28/1.38 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom, % 1.28/1.38 c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__mono_0,axiom, % 1.28/1.38 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__empty_1,axiom, % 1.28/1.38 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.38 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__empty_0,axiom, % 1.28/1.38 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.38 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__eq__bot__eq1_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.28/1.38 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__eq__bot__eq2_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.28/1.38 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__Diff__cancel2_0,axiom, % 1.28/1.38 c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__Diff__cancel_0,axiom, % 1.28/1.38 c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__subset__iff_1,axiom, % 1.28/1.38 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__subset__iff_0,axiom, % 1.28/1.38 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__Diff_0,axiom, % 1.28/1.38 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__commute_0,axiom, % 1.28/1.38 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__commute_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Un__left__absorb_0,axiom, % 1.28/1.38 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_sup__left__idem_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__Un_0,axiom, % 1.28/1.38 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_fun__upd__idem__iff_0,axiom, % 1.28/1.38 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 1.28/1.38 | hAPP(V_f,V_x) = V_y ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__Un_1,axiom, % 1.28/1.38 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__Un_0,axiom, % 1.28/1.38 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__subset__conv_1,axiom, % 1.28/1.38 ( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__subset__conv_0,axiom, % 1.28/1.38 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_less__supI1_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_less__supI2_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_le__funD_0,axiom, % 1.28/1.38 ( ~ class_HOL_Oord(T_b) % 1.28/1.38 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 1.28/1.38 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_subset__iff_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_set__rev__mp_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_subsetD_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_set__mp_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_UnCI_1,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_UnCI_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_UnE_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_bex__Un_6,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.28/1.38 | ~ hBOOL(hAPP(V_P,V_x)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_bex__Un_4,axiom, % 1.28/1.38 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.28/1.38 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_hoare__valids__def_3,axiom, % 1.28/1.38 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(V_G,V_ts)),V_ts)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__fun__updI_0,axiom, % 1.28/1.38 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__def_0,axiom, % 1.28/1.38 c_Set_Oinsert(V_a,V_B,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_subset__insert__iff_4,axiom, % 1.28/1.38 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_7,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_3,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_2,axiom, % 1.28/1.38 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__image__Int_0,axiom, % 1.28/1.38 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__insert_0,axiom, % 1.28/1.38 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__image__set__diff_0,axiom, % 1.28/1.38 ( 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)) % 1.28/1.38 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__Diff1_0,axiom, % 1.28/1.38 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_image__ident_0,axiom, % 1.28/1.38 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_1,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_4,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I17_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__diff_0,axiom, % 1.28/1.38 ( 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) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_empty__is__image_0,axiom, % 1.28/1.38 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.28/1.38 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_evalc_OWhileFalse_0,axiom, % 1.28/1.38 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s) % 1.28/1.38 | hBOOL(hAPP(V_b,V_s)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__Diff_0,axiom, % 1.28/1.38 c_Set_Ovimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_8,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Collect__def_0,axiom, % 1.28/1.38 c_Collect(V_P,T_a) = V_P ). % 1.28/1.38 % 1.28/1.38 cnf(cls_bot__least_0,axiom, % 1.28/1.38 ( ~ class_Orderings_Obot(T_a) % 1.28/1.38 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I3_J_1,axiom, % 1.28/1.38 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 1.28/1.38 | V_com2 = V_com2_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I3_J_0,axiom, % 1.28/1.38 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 1.28/1.38 | V_com1 = V_com1_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I46_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__insert_0,axiom, % 1.28/1.38 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = 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)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__insert2_0,axiom, % 1.28/1.38 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = 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),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),V_B) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I44_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__not__empty_0,axiom, % 1.28/1.38 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__id2_0,axiom, % 1.28/1.38 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__singleton__eq_1,axiom, % 1.28/1.38 hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__inter__insert_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__absorb2_0,axiom, % 1.28/1.38 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_insert__code_0,axiom, % 1.28/1.38 ( hBOOL(hAPP(V_A,V_x)) % 1.28/1.38 | V_y = V_x % 1.28/1.38 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 1.28/1.38 ( 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)) % 1.28/1.38 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I52_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__bot__right_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__bot__left_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__empty__left_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__empty__right_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I45_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 1.28/1.38 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b) % 1.28/1.38 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 1.28/1.38 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b) % 1.28/1.38 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I4_J_2,axiom, % 1.28/1.38 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 1.28/1.38 | V_com2 = V_com2_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I4_J_1,axiom, % 1.28/1.38 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 1.28/1.38 | V_com1 = V_com1_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I4_J_0,axiom, % 1.28/1.38 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 1.28/1.38 | V_fun = V_fun_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__empty_0,axiom, % 1.28/1.38 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 ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__cancel_0,axiom, % 1.28/1.38 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)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Suc__inject_0,axiom, % 1.28/1.38 ( c_Suc(V_x) != c_Suc(V_y) % 1.28/1.38 | V_x = V_y ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_nat_Oinject_0,axiom, % 1.28/1.38 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 1.28/1.38 | V_nat = V_nat_H ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_not__psubset__empty_0,axiom, % 1.28/1.38 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_vimage__ident_0,axiom, % 1.28/1.38 c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__left__commute_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inf__assoc_0,axiom, % 1.28/1.38 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__assoc_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Int__left__commute_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 1.28/1.38 ( 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)) % 1.28/1.38 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_empty__Diff_0,axiom, % 1.28/1.38 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)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com_Osimps_I16_J_0,axiom, % 1.28/1.38 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_bot1E_0,axiom, % 1.28/1.38 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__Int__distrib_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(V_C,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool))) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__Int__distrib2_0,axiom, % 1.28/1.38 c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_image__constant__conv_1,axiom, % 1.28/1.38 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.28/1.38 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_0,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_6,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_disjoint__iff__not__equal_0,axiom, % 1.28/1.38 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.38 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Diff__Int2_0,axiom, % 1.28/1.38 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool))),V_B) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_less__le__not__le_2,axiom, % 1.28/1.38 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.38 | c_lessequals(V_y,V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__eq_1,axiom, % 1.28/1.38 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_order__less__le_1,axiom, % 1.28/1.38 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_linorder__neq__iff_1,axiom, % 1.28/1.38 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_order__less__irrefl_0,axiom, % 1.28/1.38 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_Collect__empty__eq_0,axiom, % 1.28/1.38 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_evalc_OSkip_0,axiom, % 1.28/1.38 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.28/1.38 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.38 | V_x = V_y ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.28/1.38 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.38 | V_x = V_y % 1.28/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_le__antisym_0,axiom, % 1.28/1.38 ( V_m = V_n % 1.28/1.38 | ~ c_lessequals(V_n,V_m,tc_nat) % 1.28/1.38 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_com__det_0,axiom, % 1.28/1.38 ( V_u = V_t % 1.28/1.38 | ~ c_Natural_Oevalc(V_c,V_s,V_u) % 1.28/1.38 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_order__eq__iff_2,axiom, % 1.28/1.38 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.38 | V_x = V_y % 1.28/1.38 | ~ c_lessequals(V_y,V_x,T_a) % 1.28/1.38 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__Un_2,axiom, % 1.28/1.38 ( c_Lattices_Olower__semilattice__class_Oinf(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),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_inj__on__Un_3,axiom, % 1.28/1.38 ( c_Lattices_Olower__semilattice__class_Oinf(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),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.28/1.38 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.28/1.38 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_5,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.38 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_fun__upd__image_0,axiom, % 1.28/1.38 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_b,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)),T_b,T_a),T_a) % 1.28/1.38 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_hoare__valids__def_4,axiom, % 1.28/1.38 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) % 1.28/1.38 | ~ c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(V_G,V_ts),t_a) ) ). % 1.28/1.38 % 1.28/1.38 cnf(cls_psubset__insert__iff_9,axiom, % 1.28/1.38 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_vimage__def_0,axiom, % 1.28/1.39 c_Set_Ovimage(V_f,V_B,T_a,T_b) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(T_b),V_f,T_b,tc_fun(tc_fun(T_b,tc_bool),tc_bool),T_a),T_a,tc_fun(T_b,tc_bool),tc_bool),V_B),T_a) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom, % 1.28/1.39 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.28/1.39 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_subset__insert__iff_0,axiom, % 1.28/1.39 ( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.39 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_subset__insert__iff_3,axiom, % 1.28/1.39 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.39 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_diff__single__insert_0,axiom, % 1.28/1.39 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.39 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_setsum__diff1__nat_1,axiom, % 1.28/1.39 ( c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Diff1__fold__graph_0,axiom, % 1.28/1.39 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.39 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_y,T_a,T_b) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_card__Suc__eq_5,axiom, % 1.28/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) % 1.28/1.39 | c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__SUPI_0,axiom, % 1.28/1.39 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.28/1.39 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inj__on__insert_0,axiom, % 1.28/1.39 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.28/1.39 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_image__constant_0,axiom, % 1.28/1.39 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_singletonE_0,axiom, % 1.28/1.39 ( V_b = V_a % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Diff__triv_0,axiom, % 1.28/1.39 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.39 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Int__Collect_1,axiom, % 1.28/1.39 ( hBOOL(hAPP(V_P,V_x)) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_order__less__trans_0,axiom, % 1.28/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_psubset__trans_0,axiom, % 1.28/1.39 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_xt1_I10_J_0,axiom, % 1.28/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inj__on__insert_2,axiom, % 1.28/1.39 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_b),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),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b))) % 1.28/1.39 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_insert__commute_0,axiom, % 1.28/1.39 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 1.28/1.39 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 ). % 1.28/1.39 % 1.28/1.39 cnf(cls_COMBB__def_0,axiom, % 1.28/1.39 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_COMBC__def_0,axiom, % 1.28/1.39 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_COMBI__def_0,axiom, % 1.28/1.39 hAPP(c_COMBI(T_a),V_P) = V_P ). % 1.28/1.39 % 1.28/1.39 cnf(cls_COMBK__def_0,axiom, % 1.28/1.39 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.28/1.39 % 1.28/1.39 cnf(cls_COMBS__def_0,axiom, % 1.28/1.39 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Diff__idemp_0,axiom, % 1.28/1.39 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) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_not__leE_0,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.39 | c_lessequals(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | ~ c_lessequals(V_x,V_x,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 1.28/1.39 | c_lessequals(V_x,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__not__less_1,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__not__less_0,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | c_lessequals(V_y,V_x,T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__not__le_1,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | ~ c_lessequals(V_x,V_y,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_linorder__not__le_0,axiom, % 1.28/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.39 | c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_less__le__not__le_1,axiom, % 1.28/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.39 | ~ c_lessequals(V_y,V_x,T_a) % 1.28/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_evalc_OWhileTrue_0,axiom, % 1.28/1.39 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2) % 1.28/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2) % 1.28/1.39 | ~ c_Natural_Oevalc(V_c,V_s0,V_s1) % 1.28/1.39 | ~ hBOOL(hAPP(V_b,V_s0)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_doubleton__eq__iff_4,axiom, % 1.28/1.39 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_eq__eqI_1,axiom, % 1.28/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.28/1.39 | 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) % 1.28/1.39 | V_xa = V_y ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_eq__eqI_0,axiom, % 1.28/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.28/1.39 | 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) % 1.28/1.39 | V_x_H = V_y_H ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_image__empty_0,axiom, % 1.28/1.39 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)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_evalc_OIfTrue_0,axiom, % 1.28/1.39 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1) % 1.28/1.39 | ~ c_Natural_Oevalc(V_c0,V_s,V_s1) % 1.28/1.39 | ~ hBOOL(hAPP(V_b,V_s)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_evalc__elim__cases_I5_J_1,axiom, % 1.28/1.39 ( ~ hBOOL(hAPP(V_b,V_s)) % 1.28/1.39 | c_Natural_Oevalc(V_c1,V_s,V_t) % 1.28/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_evalc_OSemi_0,axiom, % 1.28/1.39 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2) % 1.28/1.39 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2) % 1.28/1.39 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inj__on__empty_0,axiom, % 1.28/1.39 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__iff__inf_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 1.28/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__iff__inf_1,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 1.28/1.39 | c_lessequals(V_x,V_y,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inf__absorb2_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 1.28/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Int__commute_0,axiom, % 1.28/1.39 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inf__commute_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olattice(T_a) % 1.28/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 1.28/1.39 ( 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) % 1.28/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_com_Osimps_I14_J_0,axiom, % 1.28/1.39 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_insert__Diff__single_0,axiom, % 1.28/1.39 c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_singleton__inject_0,axiom, % 1.28/1.39 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.28/1.39 | V_a = V_b ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_image__constant__conv_0,axiom, % 1.28/1.39 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)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 1.28/1.39 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_not__less__eq__eq_1,axiom, % 1.28/1.39 ( ~ c_lessequals(V_m,V_n,tc_nat) % 1.28/1.39 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_not__less__eq__eq_0,axiom, % 1.28/1.39 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 1.28/1.39 | c_lessequals(V_m,V_n,tc_nat) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_SUP__const_0,axiom, % 1.28/1.39 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.28/1.39 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 1.28/1.39 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_insert__code_2,axiom, % 1.28/1.39 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.28/1.39 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_insert__image_0,axiom, % 1.28/1.39 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Int__insert__right_1,axiom, % 1.28/1.39 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Int__insert__left_1,axiom, % 1.28/1.39 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__infE_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(V_x,V_a,T_a) % 1.28/1.39 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__infE_1,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(V_x,V_b,T_a) % 1.28/1.39 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__infI1_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.28/1.39 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__infI2_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.28/1.39 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__inf__iff_0,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(V_x,V_y,T_a) % 1.28/1.39 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__inf__iff_1,axiom, % 1.28/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.28/1.39 | c_lessequals(V_x,V_z,T_a) % 1.28/1.39 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_com_Osimps_I5_J_0,axiom, % 1.28/1.39 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 1.28/1.39 | V_fun = V_fun_H ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_com_Osimps_I5_J_1,axiom, % 1.28/1.39 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 1.28/1.39 | V_com = V_com_H ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__Suc__eq_2,axiom, % 1.28/1.39 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_empty__is__image_1,axiom, % 1.28/1.39 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) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_com_Osimps_I15_J_0,axiom, % 1.28/1.39 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Diff__disjoint_0,axiom, % 1.28/1.39 c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_com_Osimps_I53_J_0,axiom, % 1.28/1.39 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_Int__Collect_0,axiom, % 1.28/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.28/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_le__SucE_0,axiom, % 1.28/1.39 ( V_m = c_Suc(V_n) % 1.28/1.39 | c_lessequals(V_m,V_n,tc_nat) % 1.28/1.39 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inj__on__insert_1,axiom, % 1.28/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),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),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a,T_b))) % 1.28/1.39 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_insert__Diff__if_1,axiom, % 1.28/1.39 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B) = c_Set_Oinsert(V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 1.28/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inf1E_1,axiom, % 1.28/1.39 ( hBOOL(hAPP(V_B,V_x)) % 1.28/1.39 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.28/1.39 % 1.28/1.39 cnf(cls_inf1E_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_A,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Diff__insert__absorb_0,axiom, % 1.39/1.39 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_A % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__Int_0,axiom, % 1.39/1.39 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evalc__elim__cases_I1_J_0,axiom, % 1.39/1.39 ( V_t = V_s % 1.39/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexCI_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_IntI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_9,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_xb)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_8,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_xb)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xb),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_7,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_xa)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a))) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_6,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_xa)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a))) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastLessThan__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insertCI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastAtMost__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexCI_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ex__in__conv_0,axiom, % 1.39/1.39 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__empty_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_empty__iff_0,axiom, % 1.39/1.39 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_emptyE_0,axiom, % 1.39/1.39 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insertE_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.39/1.39 | V_a = V_b % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanAtMost__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_DiffE_1,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_DiffE_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexCI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexI_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexE_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__neqE_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | V_x = V_y ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__antisym_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ c_lessequals(V_y,V_x,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__antisym__conv_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__less__linear_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_less__infI2_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_less__infI1_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__le__less_1,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_lessequals(V_x,V_y,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__less__imp__le_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | c_lessequals(V_x,V_y,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_doubleton__eq__iff_0,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.39/1.39 | V_a = V_d % 1.39/1.39 | V_a = V_c ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_doubleton__eq__iff_1,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.39/1.39 | V_b = V_c % 1.39/1.39 | V_a = V_c ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_doubleton__eq__iff_2,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.39/1.39 | V_a = V_d % 1.39/1.39 | V_b = V_d ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_doubleton__eq__iff_3,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.39/1.39 | V_b = V_c % 1.39/1.39 | V_b = V_d ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evalc__elim__cases_I5_J_0,axiom, % 1.39/1.39 ( c_Natural_Oevalc(V_c2,V_s,V_t) % 1.39/1.39 | hBOOL(hAPP(V_b,V_s)) % 1.39/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evalc_OIfFalse_0,axiom, % 1.39/1.39 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1) % 1.39/1.39 | ~ c_Natural_Oevalc(V_c1,V_s,V_s1) % 1.39/1.39 | hBOOL(hAPP(V_b,V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__const_1,axiom, % 1.39/1.39 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triple_Oinject_0,axiom, % 1.39/1.39 ( 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) % 1.39/1.39 | V_fun1 = V_fun1_H ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triple_Oinject_1,axiom, % 1.39/1.39 ( 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) % 1.39/1.39 | V_com = V_com_H ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triple_Oinject_2,axiom, % 1.39/1.39 ( 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) % 1.39/1.39 | V_fun2 = V_fun2_H ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 1.39/1.39 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 1.39/1.39 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bex__UN_3,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_empty__not__insert_0,axiom, % 1.39/1.39 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__insert__left_0,axiom, % 1.39/1.39 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__insert__right_0,axiom, % 1.39/1.39 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_image__insert_0,axiom, % 1.39/1.39 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__singleton__eq_0,axiom, % 1.39/1.39 ( hAPP(V_f,V_a) = V_b % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olattice(T_a) % 1.39/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olattice(T_a) % 1.39/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__greatest_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__inf__iff_2,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__infI_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_b,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__le2_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__le1_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 1.39/1.39 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_com_Osimps_I13_J_0,axiom, % 1.39/1.39 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Suc__leD_0,axiom, % 1.39/1.39 ( c_lessequals(V_m,V_n,tc_nat) % 1.39/1.39 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__SucI_0,axiom, % 1.39/1.39 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 1.39/1.39 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_empty__Collect__eq_0,axiom, % 1.39/1.39 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__code_1,axiom, % 1.39/1.39 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Suc__n__not__le__n_0,axiom, % 1.39/1.39 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_image__image_0,axiom, % 1.39/1.39 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olattice(T_a) % 1.39/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__left__idem_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__left__absorb_0,axiom, % 1.39/1.39 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_com_Osimps_I47_J_0,axiom, % 1.39/1.39 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 1.39/1.39 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 1.39/1.39 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evalc__WHILE__case_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_b,V_s)) % 1.39/1.39 | V_t = V_s % 1.39/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Suc__n__not__n_0,axiom, % 1.39/1.39 c_Suc(V_n) != V_n ). % 1.39/1.39 % 1.39/1.39 cnf(cls_n__not__Suc__n_0,axiom, % 1.39/1.39 V_n != c_Suc(V_n) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__Diff_0,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),T_a) = V_A % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf__idem_0,axiom, % 1.39/1.39 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.39/1.39 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__absorb_0,axiom, % 1.39/1.39 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I6_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_lessequals(V_z,V_x,T_a) % 1.39/1.39 | ~ c_lessequals(V_z,V_y,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I7_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.39/1.39 | ~ c_lessequals(V_z,V_y,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I8_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__trans_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | c_lessequals(V_x,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__refl_0,axiom, % 1.39/1.39 c_lessequals(V_n,V_n,tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__trans_0,axiom, % 1.39/1.39 ( c_lessequals(V_i,V_k,tc_nat) % 1.39/1.39 | ~ c_lessequals(V_j,V_k,tc_nat) % 1.39/1.39 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_eq__imp__le_0,axiom, % 1.39/1.39 c_lessequals(V_x,V_x,tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__eq__iff_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_lessequals(V_x,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__eq__refl_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | c_lessequals(V_x,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__le__less__trans_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__less__le__trans_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_z,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_image__is__empty_0,axiom, % 1.39/1.39 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.39/1.39 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_singleton__conv_0,axiom, % 1.39/1.39 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__Diff_0,axiom, % 1.39/1.39 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 1.39/1.39 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 1.39/1.39 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_singleton__iff_1,axiom, % 1.39/1.39 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Int__Collect_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__code_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 1.39/1.39 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__code_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inf1I_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(V_B,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__eqI_0,axiom, % 1.39/1.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.39/1.39 | 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) % 1.39/1.39 | c_lessequals(V_y_H,V_x_H,T_a) % 1.39/1.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_le__eqI_1,axiom, % 1.39/1.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.39/1.39 | 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) % 1.39/1.39 | c_lessequals(V_y,V_x,T_a) % 1.39/1.39 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_less__eqI_0,axiom, % 1.39/1.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.39/1.39 | 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) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_less__eqI_1,axiom, % 1.39/1.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.39/1.39 | 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) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_singleton__conv2_0,axiom, % 1.39/1.39 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I11_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.39/1.39 | V_a = V_b % 1.39/1.39 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I12_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.39/1.39 | ~ c_lessequals(V_b,V_a,T_a) % 1.39/1.39 | V_a = V_b ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__le__less_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__less__le_2,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__le__neq__trans_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.39/1.39 | V_a = V_b % 1.39/1.39 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__neq__le__trans_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.39/1.39 | ~ c_lessequals(V_a,V_b,T_a) % 1.39/1.39 | V_a = V_b ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__empty_0,axiom, % 1.39/1.39 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evalc__elim__cases_I5_J_2,axiom, % 1.39/1.39 ( c_Natural_Oevalc(V_c2,V_s,V_t) % 1.39/1.39 | c_Natural_Oevalc(V_c1,V_s,V_t) % 1.39/1.39 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Collect__mem__eq_0,axiom, % 1.39/1.39 c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Suc__le__mono_0,axiom, % 1.39/1.39 ( c_lessequals(V_n,V_m,tc_nat) % 1.39/1.39 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Suc__le__mono_1,axiom, % 1.39/1.39 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 1.39/1.39 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_com_Osimps_I12_J_0,axiom, % 1.39/1.39 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_xt1_I9_J_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Oorder(T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_nat__le__linear_0,axiom, % 1.39/1.39 ( c_lessequals(V_n,V_m,tc_nat) % 1.39/1.39 | c_lessequals(V_m,V_n,tc_nat) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_linorder__linear_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Olinorder(T_a) % 1.39/1.39 | c_lessequals(V_y,V_x,T_a) % 1.39/1.39 | c_lessequals(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__less__asym_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_order__less__asym_H_0,axiom, % 1.39/1.39 ( ~ class_Orderings_Opreorder(T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanAtMost__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanAtMost__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanAtMost(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_psubsetD_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.39/1.39 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__iff_1,axiom, % 1.39/1.39 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insertI1_0,axiom, % 1.39/1.39 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insertCI_1,axiom, % 1.39/1.39 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_11,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_xc)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_10,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_xc)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xc),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_5,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_4,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_Q,T_a)),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(V_A,V_P,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_3,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_xf)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_xg)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ballE_0,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexCI_3,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_IntE_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_IntE_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inj__on__contraD_0,axiom, % 1.39/1.39 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inj__on__iff_0,axiom, % 1.39/1.39 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.39/1.39 | V_x = V_y ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inj__on__def_0,axiom, % 1.39/1.39 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.39/1.39 | V_x = V_xa ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_inj__onD_0,axiom, % 1.39/1.39 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.39/1.39 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.39/1.39 | V_x = V_y % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bex__empty_0,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_pred__equals__eq_0,axiom, % 1.39/1.39 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S) % 1.39/1.39 | V_R = V_S ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_CollectI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_CollectD_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_a)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatMost__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatMost__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_Diff__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_DiffI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_Q,V_xd)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ball__conj__distrib_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,V_xe)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ballE_1,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__ident_0,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | V_A = V_B ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_UN__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_UN__I_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThan__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_k),V_i)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OgreaterThan__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_k),V_i)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bex__UN_4,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimage__eq_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimageI2_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimageI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimageE_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_vimageD_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.39/1.39 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastAtMost__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastAtMost__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bex__Un_7,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bex__Un_5,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_bexE_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_insert__absorb_0,axiom, % 1.39/1.39 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OlessThan__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OlessThan__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_SUP2__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_SUP1__iff_2,axiom, % 1.39/1.39 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_SUP2__I_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_SUP1__I_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastLessThan__iff_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ord_OatLeastLessThan__iff_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_rev__bexI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A)) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_rev__bexI_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(V_P,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_rev__image__eqI_0,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_image__iff_2,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_image__eqI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_imageI_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__elim__cases_I5_J_2,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t) % 1.39/1.39 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t) % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__WHILE__case_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_b,V_s)) % 1.39/1.39 | V_t = V_s % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__nonstrict_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c,V_s,V_m,V_t) % 1.39/1.39 | ~ c_lessequals(V_n,V_m,tc_nat) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OSkip_0,axiom, % 1.39/1.39 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OIfFalse_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c1,V_s,V_n,V_s1) % 1.39/1.39 | hBOOL(hAPP(V_b,V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__elim__cases_I5_J_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t) % 1.39/1.39 | hBOOL(hAPP(V_b,V_s)) % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__Suc_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__max2_1,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c2,V_s2,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__max2_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(V_c1,V_s1,c_Natural_Osko__Natural__Xevaln__max2__1__1(V_c1,V_c2,V_s1,V_s2,V_t1,V_t2),V_t1) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OWhileFalse_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s) % 1.39/1.39 | hBOOL(hAPP(V_b,V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OIfTrue_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c0,V_s,V_n,V_s1) % 1.39/1.39 | ~ hBOOL(hAPP(V_b,V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__elim__cases_I5_J_1,axiom, % 1.39/1.39 ( ~ hBOOL(hAPP(V_b,V_s)) % 1.39/1.39 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t) % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OWhileTrue_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2) % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s0,V_n,V_s1) % 1.39/1.39 | ~ hBOOL(hAPP(V_b,V_s0)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln_OSemi_0,axiom, % 1.39/1.39 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__elim__cases_I1_J_0,axiom, % 1.39/1.39 ( V_t = V_s % 1.39/1.39 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_evaln__evalc_0,axiom, % 1.39/1.39 ( c_Natural_Oevalc(V_c,V_s,V_t) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_eval__eq_1,axiom, % 1.39/1.39 ( c_Natural_Oevalc(V_c,V_s,V_t) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_COMBI__def__raw_0,axiom, % 1.39/1.39 hAPP(c_COMBI(t_a),v_P) = v_P ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triple__valid__Suc_0,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_hoare__valids__def_0,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n)),V_G)) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triples__valid__Suc_1,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts)) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_hoare__valids__def_2,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) % 1.39/1.39 | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_hoare__valids__def_1,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts)) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_peek__and__def__raw_0,axiom, % 1.39/1.39 c_Hoare__Mirabelle_Opeek__and(v_P,v_p,v_Z,v_s,t_a) = c_and(hAPP(hAPP(v_P,v_Z),v_s),hAPP(v_p,v_s)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_peek__and__def_0,axiom, % 1.39/1.39 c_Hoare__Mirabelle_Opeek__and(V_P,V_p,v_Z,v_s,t_a) = c_and(hAPP(hAPP(V_P,v_Z),v_s),hAPP(V_p,v_s)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triple__valid__def2_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H)) % 1.39/1.39 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(V_P,V_Z),V_s)) % 1.39/1.39 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_COMBK__def__raw_0,axiom, % 1.39/1.39 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ). % 1.39/1.39 % 1.39/1.39 cnf(cls_triples__valid__Suc_0,axiom, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts)) % 1.39/1.39 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts)),V_ts)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_COMBB__def__raw_0,axiom, % 1.39/1.39 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_COMBS__def__raw_0,axiom, % 1.39/1.39 hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_COMBC__def__raw_0,axiom, % 1.39/1.39 hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R) = hAPP(hAPP(v_P,v_R),v_Q) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_mem__def_1,axiom, % 1.39/1.39 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 1.39/1.39 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_mem__def_0,axiom, % 1.39/1.39 ( hBOOL(hAPP(V_S,V_x)) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_0,negated_conjecture, % 1.39/1.39 hBOOL(hAPP(hAPP(v_P,v_Z),v_s)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_1,negated_conjecture, % 1.39/1.39 c_Natural_Oevaln(v_c,v_s,v_n,v_s1) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_2,negated_conjecture, % 1.39/1.39 c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_3,negated_conjecture, % 1.39/1.39 ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_4,negated_conjecture, % 1.39/1.39 ( c_Hoare__Mirabelle_Otriple__valid(v_n,V_x,t_a) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),v_Ga)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_5,negated_conjecture, % 1.39/1.39 ( hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H)) % 1.39/1.39 | ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_conjecture_6,negated_conjecture, % 1.39/1.39 ( hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H)) % 1.39/1.39 | ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H) % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 1.39/1.39 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.39/1.39 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Lattices_Olattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 1.39/1.39 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Lattices_Olattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 1.39/1.39 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 1.39/1.39 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.39/1.39 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.39/1.39 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Lattices_Olattice(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.39/1.39 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Orderings_Oorder(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__Orderings_Obot,axiom, % 1.39/1.39 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_Orderings_Obot(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_fun__HOL_Oord,axiom, % 1.39/1.39 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.39/1.39 | ~ class_HOL_Oord(T_1) ) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.39/1.39 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 1.39/1.39 class_Lattices_Olower__semilattice(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 1.39/1.39 class_Lattices_Odistrib__lattice(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.39/1.39 class_Orderings_Opreorder(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.39/1.39 class_Orderings_Olinorder(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.39/1.39 class_Lattices_Olattice(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.39/1.39 class_Orderings_Oorder(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__Orderings_Obot,axiom, % 1.39/1.39 class_Orderings_Obot(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_nat__HOL_Oord,axiom, % 1.39/1.39 class_HOL_Oord(tc_nat) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 1.39/1.39 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.39/1.39 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 1.39/1.39 class_Lattices_Olower__semilattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 1.39/1.39 class_Lattices_Odistrib__lattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 1.39/1.39 class_Lattices_Obounded__lattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.39/1.39 class_Orderings_Opreorder(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.39/1.39 class_Lattices_Olattice(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.39/1.39 class_Orderings_Oorder(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__Orderings_Obot,axiom, % 1.39/1.39 class_Orderings_Obot(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(clsarity_bool__HOL_Oord,axiom, % 1.39/1.39 class_HOL_Oord(tc_bool) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.39/1.39 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 1.39/1.39 % 1.39/1.39 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.39/1.39 ( V_X = V_Y % 1.39/1.39 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 1.39/1.39 % 1.39/1.39 %------------------------------------------------------------------------------ % 1.39/1.39 %------------------------------------------- % 1.39/1.39 % Proof found % 1.39/1.39 % SZS status Theorem for theBenchmark % 1.39/1.39 % SZS output start Proof % 1.39/1.40 %ClaNum:813(EqnAxiom:209) % 1.39/1.40 %VarNum:4739(SingletonVarNum:1893) % 1.39/1.40 %MaxLitNum:5 % 1.39/1.40 %MaxfuncDepth:6 % 1.39/1.40 %SharedTerms:72 % 1.39/1.40 %goalClause: 235 258 259 360 512 611 612 % 1.39/1.40 %singleGoalClaCount:4 % 1.39/1.40 [210]P1(a1) % 1.39/1.40 [211]P1(a49) % 1.39/1.40 [212]P13(a1) % 1.39/1.40 [213]P13(a49) % 1.39/1.40 [214]P14(a1) % 1.39/1.40 [215]P14(a49) % 1.39/1.40 [216]P16(a1) % 1.39/1.40 [217]P16(a49) % 1.39/1.40 [218]P15(a1) % 1.39/1.40 [219]P18(a1) % 1.39/1.40 [220]P18(a49) % 1.39/1.40 [221]P17(a1) % 1.39/1.40 [222]P17(a49) % 1.39/1.40 [223]P21(a1) % 1.39/1.40 [224]P21(a49) % 1.39/1.40 [225]P22(a1) % 1.39/1.40 [226]P22(a49) % 1.39/1.40 [227]P23(a49) % 1.39/1.40 [228]P2(a1) % 1.39/1.40 [258]P11(a57,a56,a58,a61) % 1.39/1.40 [259]P11(a59,a61,a58,a62) % 1.39/1.40 [235]P24(f15(f15(a51,a53),a56)) % 1.39/1.40 [360]~P24(f15(f15(a55,a53),a62)) % 1.39/1.40 [232]P3(x2321,x2321,a49) % 1.39/1.40 [233]P4(a16,x2331,x2331) % 1.39/1.40 [350]~E(f20(x3501),x3501) % 1.39/1.40 [359]~P3(f20(x3591),x3591,a49) % 1.39/1.40 [260]P11(a16,x2601,x2602,x2601) % 1.39/1.40 [237]P3(x2371,x2371,f50(x2372,a1)) % 1.39/1.40 [261]P5(f3(x2611),x2612,x2611,x2611) % 1.39/1.40 [353]~E(f25(x3531,x3532),a16) % 1.39/1.40 [354]~E(f26(x3541,x3542),a16) % 1.39/1.40 [365]~P8(x3651,x3651,f50(x3652,a1)) % 1.39/1.40 [230]E(f15(f3(x2301),x2302),x2302) % 1.39/1.40 [238]E(f21(x2381,x2381,f50(x2382,a1)),x2381) % 1.39/1.40 [239]E(f22(x2391,x2391,f50(x2392,a1)),x2391) % 1.39/1.40 [243]P3(f32(f50(x2431,a1)),x2432,f50(x2431,a1)) % 1.39/1.40 [244]E(f21(x2441,f32(f50(x2442,a1)),f50(x2442,a1)),x2441) % 1.39/1.40 [245]E(f21(f32(f50(x2451,a1)),x2452,f50(x2451,a1)),x2452) % 1.39/1.40 [248]E(f22(x2481,f32(f50(x2482,a1)),f50(x2482,a1)),f32(f50(x2482,a1))) % 1.39/1.40 [249]E(f22(f32(f50(x2491,a1)),x2492,f50(x2491,a1)),f32(f50(x2491,a1))) % 1.39/1.40 [262]E(f34(f3(x2621),x2622,x2621,x2621),x2622) % 1.39/1.40 [263]E(f42(f3(x2631),x2632,x2631,x2631),x2632) % 1.39/1.40 [299]E(f21(f15(f4(f43(x2991),x2991,x2991,a1),x2992),f32(f50(x2991,a1)),f50(x2991,a1)),f15(f43(x2991),x2992)) % 1.39/1.40 [304]E(f44(f15(f15(x3041,a53),a56),f15(x3042,a56)),f30(x3041,x3042,a53,a56,a2)) % 1.39/1.40 [366]~P8(x3661,f32(f50(x3662,a1)),f50(x3662,a1)) % 1.39/1.40 [240]P24(f15(f15(f43(x2401),x2402),x2402)) % 1.39/1.40 [252]E(f15(f15(f23(f50(x2521,a1)),x2522),f32(f50(x2521,a1))),x2522) % 1.39/1.40 [281]E(f15(f4(f45(x2811),x2811,f50(x2811,a1),a1),x2812),x2812) % 1.39/1.40 [367]~P24(f15(f32(f50(x3671,a1)),x3672)) % 1.39/1.40 [370]~P24(f15(f15(f45(x3701),x3702),f32(f50(x3701,a1)))) % 1.39/1.40 [250]E(f15(f15(f23(f50(x2501,a1)),x2502),x2502),f32(f50(x2501,a1))) % 1.39/1.40 [264]E(f15(f15(f23(f50(x2641,a1)),f32(f50(x2641,a1))),x2642),f32(f50(x2641,a1))) % 1.39/1.40 [358]~E(f19(x3581,x3582,x3583),a16) % 1.39/1.40 [246]E(f21(x2461,x2462,f50(x2463,a1)),f21(x2462,x2461,f50(x2463,a1))) % 1.39/1.40 [247]E(f22(x2471,x2472,f50(x2473,a1)),f22(x2472,x2471,f50(x2473,a1))) % 1.39/1.40 [254]P3(x2541,f21(x2542,x2541,f50(x2543,a1)),f50(x2543,a1)) % 1.39/1.40 [255]P3(x2551,f21(x2551,x2552,f50(x2553,a1)),f50(x2553,a1)) % 1.39/1.40 [256]P3(f22(x2561,x2562,f50(x2563,a1)),x2562,f50(x2563,a1)) % 1.39/1.40 [257]P3(f22(x2571,x2572,f50(x2573,a1)),x2571,f50(x2573,a1)) % 1.39/1.40 [265]P5(x2651,f32(f50(x2652,a1)),x2652,x2653) % 1.39/1.40 [266]E(f21(x2661,f21(x2661,x2662,f50(x2663,a1)),f50(x2663,a1)),f21(x2661,x2662,f50(x2663,a1))) % 1.39/1.40 [267]E(f22(x2671,f22(x2671,x2672,f50(x2673,a1)),f50(x2673,a1)),f22(x2671,x2672,f50(x2673,a1))) % 1.39/1.40 [272]E(f22(x2721,f15(f15(f23(f50(x2722,a1)),x2723),x2721),f50(x2722,a1)),f32(f50(x2722,a1))) % 1.39/1.40 [274]E(f21(x2741,f15(f15(f23(f50(x2742,a1)),x2743),x2741),f50(x2742,a1)),f21(x2741,x2743,f50(x2742,a1))) % 1.39/1.40 [275]E(f21(f15(f15(f23(f50(x2751,a1)),x2752),x2753),x2753,f50(x2751,a1)),f21(x2752,x2753,f50(x2751,a1))) % 1.39/1.40 [280]E(f21(f15(f15(f23(f50(x2801,a1)),x2802),x2803),f22(x2802,x2803,f50(x2801,a1)),f50(x2801,a1)),x2802) % 1.39/1.40 [326]E(f21(f21(f15(f4(f43(x3261),x3261,x3261,a1),x3262),f32(f50(x3261,a1)),f50(x3261,a1)),x3263,f50(x3261,a1)),f21(f15(f4(f43(x3261),x3261,x3261,a1),x3262),x3263,f50(x3261,a1))) % 1.39/1.40 [345]E(f21(f15(f4(f43(x3451),x3451,x3451,a1),x3452),f15(f15(f23(f50(x3451,a1)),x3453),f21(f15(f4(f43(x3451),x3451,x3451,a1),x3452),f32(f50(x3451,a1)),f50(x3451,a1))),f50(x3451,a1)),f21(f15(f4(f43(x3451),x3451,x3451,a1),x3452),x3453,f50(x3451,a1))) % 1.39/1.40 [372]~E(f21(f15(f4(f43(x3721),x3721,x3721,a1),x3722),x3723,f50(x3721,a1)),f32(f50(x3721,a1))) % 1.39/1.40 [269]E(f34(x2691,f32(f50(x2692,a1)),x2692,x2693),f32(f50(x2693,a1))) % 1.39/1.40 [270]E(f42(x2701,f32(f50(x2702,a1)),x2703,x2702),f32(f50(x2703,a1))) % 1.39/1.40 [332]P24(f15(f21(f15(f4(f43(x3321),x3321,x3321,a1),x3322),x3323,f50(x3321,a1)),x3322)) % 1.39/1.40 [335]P24(f15(f15(f45(x3351),x3352),f21(f15(f4(f43(x3351),x3351,x3351,a1),x3352),x3353,f50(x3351,a1)))) % 1.39/1.40 [271]P3(f15(f15(f23(f50(x2711,a1)),x2712),x2713),x2712,f50(x2711,a1)) % 1.39/1.40 [290]E(f15(f15(f23(f50(x2901,a1)),f15(f15(f23(f50(x2901,a1)),x2902),x2903)),x2903),f15(f15(f23(f50(x2901,a1)),x2902),x2903)) % 1.39/1.40 [356]~E(f26(x3561,x3562),f25(x3563,x3564)) % 1.39/1.40 [242]E(f15(f17(x2421,x2422,x2423),x2424),x2421) % 1.39/1.40 [276]E(f21(x2761,f21(x2762,x2763,f50(x2764,a1)),f50(x2764,a1)),f21(x2762,f21(x2761,x2763,f50(x2764,a1)),f50(x2764,a1))) % 1.39/1.40 [277]E(f22(x2771,f22(x2772,x2773,f50(x2774,a1)),f50(x2774,a1)),f22(x2772,f22(x2771,x2773,f50(x2774,a1)),f50(x2774,a1))) % 1.39/1.40 [278]E(f21(f21(x2781,x2782,f50(x2783,a1)),x2784,f50(x2783,a1)),f21(x2781,f21(x2782,x2784,f50(x2783,a1)),f50(x2783,a1))) % 1.39/1.40 [279]E(f22(f22(x2791,x2792,f50(x2793,a1)),x2794,f50(x2793,a1)),f22(x2791,f22(x2792,x2794,f50(x2793,a1)),f50(x2793,a1))) % 1.39/1.40 [282]E(f22(f21(x2821,x2822,f50(x2823,a1)),f21(x2821,x2824,f50(x2823,a1)),f50(x2823,a1)),f21(x2821,f22(x2822,x2824,f50(x2823,a1)),f50(x2823,a1))) % 1.39/1.40 [283]E(f21(f22(x2831,x2832,f50(x2833,a1)),f22(x2831,x2834,f50(x2833,a1)),f50(x2833,a1)),f22(x2831,f21(x2832,x2834,f50(x2833,a1)),f50(x2833,a1))) % 1.39/1.40 [284]E(f22(f21(x2841,x2842,f50(x2843,a1)),f21(x2844,x2842,f50(x2843,a1)),f50(x2843,a1)),f21(f22(x2841,x2844,f50(x2843,a1)),x2842,f50(x2843,a1))) % 1.39/1.40 [285]E(f21(f22(x2851,x2852,f50(x2853,a1)),f22(x2854,x2852,f50(x2853,a1)),f50(x2853,a1)),f22(f21(x2851,x2854,f50(x2853,a1)),x2852,f50(x2853,a1))) % 1.39/1.40 [286]E(f21(x2861,f24(f32(f50(x2862,a1)),x2863,x2862,f50(x2864,a1)),f50(x2864,a1)),x2861) % 1.39/1.40 [287]E(f21(f24(f32(f50(x2871,a1)),x2872,x2871,f50(x2873,a1)),x2874,f50(x2873,a1)),x2874) % 1.39/1.40 [302]E(f27(x3021,x3022,f15(x3021,x3022),x3023,x3024),x3021) % 1.39/1.40 [308]P3(f34(x3081,f42(x3081,x3082,x3083,x3084),x3083,x3084),x3082,f50(x3084,a1)) % 1.39/1.40 [311]E(f22(f22(f21(x3111,x3112,f50(x3113,a1)),f21(x3112,x3114,f50(x3113,a1)),f50(x3113,a1)),f21(x3114,x3111,f50(x3113,a1)),f50(x3113,a1)),f21(f21(f22(x3111,x3112,f50(x3113,a1)),f22(x3112,x3114,f50(x3113,a1)),f50(x3113,a1)),f22(x3114,x3111,f50(x3113,a1)),f50(x3113,a1))) % 1.39/1.40 [320]E(f21(f15(f4(f43(x3201),x3201,x3201,a1),x3202),f24(f32(f50(x3203,a1)),x3204,x3203,f50(x3201,a1)),f50(x3201,a1)),f21(f15(f4(f43(x3201),x3201,x3201,a1),x3202),f32(f50(x3201,a1)),f50(x3201,a1))) % 1.39/1.40 [341]P6(x3411,x3412,f32(f50(x3413,a1)),x3412,x3413,x3414) % 1.39/1.40 [342]P12(x3421,x3422,f32(f50(x3423,a1)),x3422,x3423,x3424) % 1.39/1.40 [288]E(f15(f15(f23(f50(x2881,a1)),x2882),f24(f32(f50(x2883,a1)),x2884,x2883,f50(x2881,a1))),x2882) % 1.39/1.40 [291]E(f22(f15(f15(f23(f50(x2911,a1)),x2912),x2913),f15(f15(f23(f50(x2911,a1)),x2912),x2914),f50(x2911,a1)),f15(f15(f23(f50(x2911,a1)),x2912),f21(x2913,x2914,f50(x2911,a1)))) % 1.39/1.40 [292]E(f21(f15(f15(f23(f50(x2921,a1)),x2922),x2923),f15(f15(f23(f50(x2921,a1)),x2922),x2924),f50(x2921,a1)),f15(f15(f23(f50(x2921,a1)),x2922),f22(x2923,x2924,f50(x2921,a1)))) % 1.39/1.40 [293]E(f15(f15(f23(f50(x2931,a1)),f22(x2932,x2933,f50(x2931,a1))),f22(x2932,x2934,f50(x2931,a1))),f22(x2932,f15(f15(f23(f50(x2931,a1)),x2933),x2934),f50(x2931,a1))) % 1.39/1.40 [294]E(f15(f15(f23(f50(x2941,a1)),f22(x2942,x2943,f50(x2941,a1))),f22(x2944,x2943,f50(x2941,a1))),f22(f15(f15(f23(f50(x2941,a1)),x2942),x2944),x2943,f50(x2941,a1))) % 1.39/1.40 [338]E(f15(f15(f23(f50(x3381,a1)),f15(f15(f23(f50(x3381,a1)),x3382),x3383)),f21(f15(f4(f43(x3381),x3381,x3381,a1),x3384),f32(f50(x3381,a1)),f50(x3381,a1))),f15(f15(f23(f50(x3381,a1)),x3382),f21(f15(f4(f43(x3381),x3381,x3381,a1),x3384),x3383,f50(x3381,a1)))) % 1.39/1.40 [340]E(f15(f4(f5(f45(x3401),x3402,x3401,f50(f50(x3401,a1),a1),x3403),x3403,f50(x3401,a1),a1),x3404),f42(x3402,x3404,x3403,x3401)) % 1.39/1.40 [289]E(f22(x2891,f15(f15(f23(f50(x2892,a1)),x2893),x2894),f50(x2892,a1)),f15(f15(f23(f50(x2892,a1)),f22(x2891,x2893,f50(x2892,a1))),x2894)) % 1.39/1.40 [296]E(f15(f15(f23(f50(x2961,a1)),f22(x2962,x2963,f50(x2961,a1))),f22(x2964,x2963,f50(x2961,a1))),f15(f15(f23(f50(x2961,a1)),f22(x2962,x2963,f50(x2961,a1))),x2964)) % 1.39/1.40 [298]E(f21(f15(f15(f23(f50(x2981,a1)),x2982),x2983),f15(f15(f23(f50(x2981,a1)),x2984),x2983),f50(x2981,a1)),f15(f15(f23(f50(x2981,a1)),f21(x2982,x2984,f50(x2981,a1))),x2983)) % 1.39/1.40 [347]P24(f15(f15(f45(x3471),x3472),f42(x3473,f21(f15(f4(f43(x3474),x3474,x3474,a1),f15(x3473,x3472)),f32(f50(x3474,a1)),f50(x3474,a1)),x3471,x3474))) % 1.39/1.40 [348]E(f15(f15(f23(f50(x3481,a1)),f15(f15(f23(f50(x3481,a1)),x3482),f21(f15(f4(f43(x3481),x3481,x3481,a1),x3483),f32(f50(x3481,a1)),f50(x3481,a1)))),x3484),f15(f15(f23(f50(x3481,a1)),x3482),f21(f15(f4(f43(x3481),x3481,x3481,a1),x3483),x3484,f50(x3481,a1)))) % 1.39/1.40 [361]~E(f25(x3611,x3612),f19(x3613,x3614,x3615)) % 1.39/1.40 [362]~E(f26(x3621,x3622),f19(x3623,x3624,x3625)) % 1.39/1.40 [363]~E(f19(x3631,x3632,x3633),f25(x3634,x3635)) % 1.39/1.40 [364]~E(f19(x3641,x3642,x3643),f26(x3644,x3645)) % 1.39/1.40 [309]E(f21(f24(x3091,x3092,x3093,f50(x3094,a1)),f24(x3095,x3092,x3093,f50(x3094,a1)),f50(x3094,a1)),f24(f21(x3091,x3095,f50(x3093,a1)),x3092,x3093,f50(x3094,a1))) % 1.39/1.40 [315]E(f15(f27(x3151,x3152,x3153,x3154,x3155),x3152),x3153) % 1.39/1.40 [322]E(f24(f21(f15(f4(f43(x3221),x3221,x3221,a1),x3222),x3223,f50(x3221,a1)),x3224,x3221,f50(x3225,a1)),f21(f15(x3224,x3222),f24(x3223,x3224,x3221,f50(x3225,a1)),f50(x3225,a1))) % 1.39/1.40 [305]E(f21(f34(x3051,x3052,x3053,x3054),f34(x3051,x3055,x3053,x3054),f50(x3054,a1)),f34(x3051,f21(x3052,x3055,f50(x3053,a1)),x3053,x3054)) % 1.39/1.40 [306]E(f21(f42(x3061,x3062,x3063,x3064),f42(x3061,x3065,x3063,x3064),f50(x3063,a1)),f42(x3061,f21(x3062,x3065,f50(x3064,a1)),x3063,x3064)) % 1.39/1.40 [307]E(f22(f42(x3071,x3072,x3073,x3074),f42(x3071,x3075,x3073,x3074),f50(x3073,a1)),f42(x3071,f22(x3072,x3075,f50(x3074,a1)),x3073,x3074)) % 1.39/1.40 [321]P3(f34(x3211,f22(x3212,x3213,f50(x3214,a1)),x3214,x3215),f22(f34(x3211,x3212,x3214,x3215),f34(x3211,x3213,x3214,x3215),f50(x3215,a1)),f50(x3215,a1)) % 1.39/1.40 [329]E(f34(x3291,f21(f15(f4(f43(x3292),x3292,x3292,a1),x3293),x3294,f50(x3292,a1)),x3292,x3295),f21(f15(f4(f43(x3295),x3295,x3295,a1),f15(x3291,x3293)),f34(x3291,x3294,x3292,x3295),f50(x3295,a1))) % 1.39/1.40 [346]E(f21(f42(x3461,f21(f15(f4(f43(x3462),x3462,x3462,a1),x3463),f32(f50(x3462,a1)),f50(x3462,a1)),x3464,x3462),f42(x3461,x3465,x3464,x3462),f50(x3464,a1)),f42(x3461,f21(f15(f4(f43(x3462),x3462,x3462,a1),x3463),x3465,f50(x3462,a1)),x3464,x3462)) % 1.39/1.40 [312]E(f15(f15(f23(f50(x3121,a1)),f42(x3122,x3123,x3121,x3124)),f42(x3122,x3125,x3121,x3124)),f42(x3122,f15(f15(f23(f50(x3124,a1)),x3123),x3125),x3121,x3124)) % 1.39/1.40 [330]P3(f15(f15(f23(f50(x3301,a1)),f34(x3302,x3303,x3304,x3301)),f34(x3302,x3305,x3304,x3301)),f34(x3302,f15(f15(f23(f50(x3304,a1)),x3303),x3305),x3304,x3301),f50(x3301,a1)) % 1.39/1.40 [318]E(f15(f5(x3181,x3182,x3183,x3184,x3185),x3186),f15(x3181,f15(x3182,x3186))) % 1.39/1.40 [319]E(f15(f18(x3191,x3192,x3193,x3194,x3195),x3196),f15(f15(x3191,x3196),f15(x3192,x3196))) % 1.39/1.40 [323]E(f34(x3231,f34(x3232,x3233,x3234,x3235),x3235,x3236),f34(f5(x3231,x3232,x3235,x3236,x3234),x3233,x3234,x3236)) % 1.39/1.40 [324]E(f24(f34(x3241,x3242,x3243,x3244),x3245,x3244,f50(x3246,a1)),f24(x3242,f5(x3245,x3241,x3244,f50(x3246,a1),x3243),x3243,f50(x3246,a1))) % 1.39/1.40 [325]E(f24(x3251,f5(x3252,x3253,x3254,f50(x3255,a1),x3256),x3256,f50(x3255,a1)),f24(f34(x3253,x3251,x3256,x3254),x3252,x3254,f50(x3255,a1))) % 1.39/1.40 [337]E(f27(f27(x3371,x3372,x3373,x3374,x3375),x3372,x3376,x3374,x3375),f27(x3371,x3372,x3376,x3374,x3375)) % 1.39/1.40 [297]E(f15(f15(f4(x2971,x2972,x2973,x2974),x2975),x2976),f15(f15(x2971,x2976),x2975)) % 1.39/1.40 [512]P9(a58,x5121,a2)+~P24(f15(f15(f45(f48(a2)),x5121),a52)) % 1.39/1.40 [389]~P21(x3892)+P3(x3891,x3891,x3892) % 1.39/1.40 [390]~P22(x3902)+P3(x3901,x3901,x3902) % 1.39/1.40 [398]E(x3981,x3982)+~P4(a16,x3982,x3981) % 1.39/1.40 [401]~P8(x4012,x4012,x4011)+~P21(x4011) % 1.39/1.40 [402]~P8(x4022,x4022,x4021)+~P22(x4021) % 1.39/1.40 [403]~P8(x4032,x4032,x4031)+~P23(x4031) % 1.39/1.40 [406]P3(x4062,x4061,a49)+P3(x4061,x4062,a49) % 1.39/1.40 [374]E(x3741,x3742)+~E(f20(x3741),f20(x3742)) % 1.39/1.40 [375]~P1(x3752)+P1(f50(x3751,x3752)) % 1.39/1.40 [376]~P16(x3762)+P13(f50(x3761,x3762)) % 1.39/1.40 [377]~P14(x3772)+P14(f50(x3771,x3772)) % 1.39/1.40 [378]~P16(x3782)+P16(f50(x3781,x3782)) % 1.39/1.40 [379]~P15(x3792)+P15(f50(x3791,x3792)) % 1.39/1.40 [380]~P18(x3802)+P18(f50(x3801,x3802)) % 1.39/1.40 [381]~P16(x3812)+P17(f50(x3811,x3812)) % 1.39/1.40 [382]~P21(x3822)+P21(f50(x3821,x3822)) % 1.39/1.40 [383]~P22(x3832)+P22(f50(x3831,x3832)) % 1.39/1.40 [384]~P2(x3842)+P2(f50(x3841,x3842)) % 1.39/1.40 [391]~P13(x3912)+E(f21(x3911,x3911,x3912),x3911) % 1.39/1.40 [392]~P17(x3922)+E(f22(x3921,x3921,x3922),x3921) % 1.39/1.40 [393]~P18(x3931)+P3(f32(x3931),x3932,x3931) % 1.39/1.40 [408]P3(x4081,x4082,a49)+P3(f20(x4082),x4081,a49) % 1.39/1.40 [423]~P3(x4231,x4232,a49)+P3(x4231,f20(x4232),a49) % 1.39/1.40 [424]P3(x4241,x4242,a49)+~P3(f20(x4241),x4242,a49) % 1.39/1.40 [431]~P3(x4311,x4312,a49)+P3(f20(x4311),f20(x4312),a49) % 1.39/1.40 [446]P3(x4461,x4462,a49)+~P3(f20(x4461),f20(x4462),a49) % 1.39/1.40 [466]~P3(x4661,x4662,a49)+~P3(f20(x4662),x4661,a49) % 1.39/1.40 [494]P10(x4941,x4942,a2)+~P9(f63(x4941,x4942),f65(x4941,x4942),a2) % 1.39/1.40 [394]~P15(x3942)+E(f21(x3941,f32(x3942),x3942),x3941) % 1.39/1.40 [395]~P15(x3951)+E(f21(f32(x3951),x3952,x3951),x3952) % 1.39/1.40 [396]~P15(x3962)+E(f22(x3961,f32(x3962),x3962),f32(x3962)) % 1.39/1.40 [397]~P15(x3971)+E(f22(f32(x3971),x3972,x3971),f32(x3971)) % 1.39/1.40 [500]~P3(x5001,f32(f50(x5002,a1)),f50(x5002,a1))+E(x5001,f32(f50(x5002,a1))) % 1.39/1.40 [524]P10(x5241,x5242,a2)+P24(f15(f15(f45(f48(a2)),f65(x5241,x5242)),x5242)) % 1.39/1.40 [735]E(f28(f21(f15(f4(f43(x7351),x7351,x7351,a1),x7352),f32(f50(x7351,a1)),f50(x7351,a1)),x7351),f20(f28(f32(f50(x7351,a1)),x7351)))+P24(f15(f15(f45(x7351),x7352),f32(f50(x7351,a1)))) % 1.39/1.40 [568]E(x5681,x5682)+~P11(a16,x5682,x5683,x5681) % 1.39/1.40 [407]P4(f25(x4071,x4073),x4072,x4072)+P24(f15(x4071,x4072)) % 1.39/1.40 [409]~P13(x4093)+E(f21(x4091,x4092,x4093),f21(x4092,x4091,x4093)) % 1.39/1.40 [410]~P16(x4103)+E(f21(x4101,x4102,x4103),f21(x4102,x4101,x4103)) % 1.39/1.40 [411]~P16(x4113)+E(f22(x4111,x4112,x4113),f22(x4112,x4111,x4113)) % 1.39/1.40 [412]~P17(x4123)+E(f22(x4121,x4122,x4123),f22(x4122,x4121,x4123)) % 1.39/1.40 [442]P9(x4421,x4422,x4423)+~P9(f20(x4421),x4422,x4423) % 1.39/1.40 [448]~P13(x4483)+P3(x4481,f21(x4482,x4481,x4483),x4483) % 1.39/1.40 [449]~P16(x4493)+P3(x4491,f21(x4492,x4491,x4493),x4493) % 1.39/1.40 [450]~P13(x4503)+P3(x4501,f21(x4501,x4502,x4503),x4503) % 1.39/1.40 [451]~P16(x4513)+P3(x4511,f21(x4511,x4512,x4513),x4513) % 1.39/1.40 [452]~P16(x4523)+P3(f22(x4521,x4522,x4523),x4522,x4523) % 1.39/1.40 [453]~P17(x4533)+P3(f22(x4531,x4532,x4533),x4532,x4533) % 1.39/1.40 [454]~P16(x4543)+P3(f22(x4541,x4542,x4543),x4541,x4543) % 1.39/1.40 [455]~P17(x4553)+P3(f22(x4551,x4552,x4553),x4551,x4553) % 1.39/1.40 [482]~P8(x4821,x4822,f50(x4823,a1))+P3(x4821,x4822,f50(x4823,a1)) % 1.39/1.40 [399]~P24(f15(x3991,x3993))+~E(x3991,f32(f50(x3992,a1))) % 1.39/1.40 [400]~P24(f15(x4002,x4003))+~E(f32(f50(x4001,a1)),x4002) % 1.39/1.40 [456]~P16(x4563)+E(f21(x4561,f22(x4561,x4562,x4563),x4563),x4561) % 1.39/1.40 [457]~P16(x4573)+E(f22(x4571,f21(x4571,x4572,x4573),x4573),x4571) % 1.39/1.40 [478]E(x4781,f32(f50(x4782,a1)))+~E(f21(x4783,x4781,f50(x4782,a1)),f32(f50(x4782,a1))) % 1.39/1.40 [479]E(x4791,f32(f50(x4792,a1)))+~E(f21(x4791,x4793,f50(x4792,a1)),f32(f50(x4792,a1))) % 1.39/1.40 [485]~P3(x4851,x4852,f50(x4853,a1))+E(f21(x4851,x4852,f50(x4853,a1)),x4852) % 1.39/1.40 [486]~P3(x4862,x4861,f50(x4863,a1))+E(f21(x4861,x4862,f50(x4863,a1)),x4861) % 1.39/1.40 [487]~P3(x4872,x4871,f50(x4873,a1))+E(f22(x4871,x4872,f50(x4873,a1)),x4872) % 1.39/1.40 [488]~P3(x4881,x4882,f50(x4883,a1))+E(f22(x4881,x4882,f50(x4883,a1)),x4881) % 1.39/1.40 [489]P3(x4891,x4892,f50(x4893,a1))+~E(f21(x4891,x4892,f50(x4893,a1)),x4892) % 1.39/1.40 [496]~P13(x4963)+E(f21(x4961,f21(x4961,x4962,x4963),x4963),f21(x4961,x4962,x4963)) % 1.39/1.40 [497]~P16(x4973)+E(f21(x4971,f21(x4971,x4972,x4973),x4973),f21(x4971,x4972,x4973)) % 1.39/1.40 [498]~P16(x4983)+E(f22(x4981,f22(x4981,x4982,x4983),x4983),f22(x4981,x4982,x4983)) % 1.39/1.40 [499]~P17(x4993)+E(f22(x4991,f22(x4991,x4992,x4993),x4993),f22(x4991,x4992,x4993)) % 1.39/1.40 [602]~P3(x6021,x6023,f50(x6022,a1))+E(f21(x6021,f15(f15(f23(f50(x6022,a1)),x6023),x6021),f50(x6022,a1)),x6023) % 1.39/1.40 [743]E(x7431,x7432)+~E(f21(f15(f4(f43(x7433),x7433,x7433,a1),x7431),f32(f50(x7433,a1)),f50(x7433,a1)),f21(f15(f4(f43(x7433),x7433,x7433,a1),x7432),f32(f50(x7433,a1)),f50(x7433,a1))) % 1.39/1.40 [445]~P24(f15(x4453,x4452))+P24(f15(f15(f45(x4451),x4452),x4453)) % 1.39/1.40 [458]E(x4581,x4582)+~P24(f15(f15(f43(x4583),x4581),x4582)) % 1.39/1.40 [481]P24(f15(x4811,x4812))+~P24(f15(f15(f45(x4813),x4812),x4811)) % 1.39/1.40 [689]E(f21(f15(f4(f43(x6891),x6891,x6891,a1),x6892),x6893,f50(x6891,a1)),x6893)+~P24(f15(f15(f45(x6891),x6892),x6893)) % 1.39/1.40 [708]E(x7081,x7082)+~E(f15(f4(f45(x7083),x7083,f50(x7083,a1),a1),x7081),f15(f4(f45(x7083),x7083,f50(x7083,a1),a1),x7082)) % 1.39/1.40 [724]~P3(x7242,x7243,f50(x7241,a1))+P3(f15(f4(f45(x7241),x7241,f50(x7241,a1),a1),x7242),f15(f4(f45(x7241),x7241,f50(x7241,a1),a1),x7243),f50(x7241,a1)) % 1.39/1.40 [749]P3(x7491,x7492,f50(x7493,a1))+~P3(f15(f4(f45(x7493),x7493,f50(x7493,a1),a1),x7491),f15(f4(f45(x7493),x7493,f50(x7493,a1),a1),x7492),f50(x7493,a1)) % 1.39/1.40 [768]E(f21(f15(f4(f43(x7681),x7681,x7681,a1),x7682),f15(f15(f23(f50(x7681,a1)),x7683),f21(f15(f4(f43(x7681),x7681,x7681,a1),x7682),f32(f50(x7681,a1)),f50(x7681,a1))),f50(x7681,a1)),x7683)+~P24(f15(f15(f45(x7681),x7682),x7683)) % 1.39/1.40 [769]E(f15(f15(f23(f50(x7691,a1)),f21(f15(f4(f43(x7691),x7691,x7691,a1),x7692),x7693,f50(x7691,a1))),f21(f15(f4(f43(x7691),x7691,x7691,a1),x7692),f32(f50(x7691,a1)),f50(x7691,a1))),x7693)+P24(f15(f15(f45(x7691),x7692),x7693)) % 1.39/1.40 [773]E(x7731,x7732)+~P24(f15(f15(f45(x7733),x7731),f21(f15(f4(f43(x7733),x7733,x7733,a1),x7732),f32(f50(x7733,a1)),f50(x7733,a1)))) % 1.39/1.40 [528]~E(f22(x5282,x5283,f50(x5281,a1)),f32(f50(x5281,a1)))+E(f15(f15(f23(f50(x5281,a1)),x5282),x5283),x5282) % 1.39/1.40 [586]P4(x5861,x5862,x5863)+~P11(x5861,x5862,x5864,x5863) % 1.39/1.40 [385]E(x3851,x3852)+~E(f25(x3853,x3851),f25(x3854,x3852)) % 1.39/1.40 [386]E(x3861,x3862)+~E(f26(x3863,x3861),f26(x3864,x3862)) % 1.39/1.40 [387]E(x3871,x3872)+~E(f25(x3871,x3873),f25(x3872,x3874)) % 1.39/1.40 [388]E(x3881,x3882)+~E(f26(x3881,x3883),f26(x3882,x3884)) % 1.39/1.40 [527]P11(f25(x5271,x5273),x5272,x5274,x5272)+P24(f15(x5271,x5272)) % 1.39/1.40 [623]~P11(x6231,x6232,x6233,x6234)+P11(x6231,x6232,f20(x6233),x6234) % 1.39/1.40 [545]~P13(x5454)+E(f21(x5451,f21(x5452,x5453,x5454),x5454),f21(x5452,f21(x5451,x5453,x5454),x5454)) % 1.39/1.40 [546]~P16(x5464)+E(f21(x5461,f21(x5462,x5463,x5464),x5464),f21(x5462,f21(x5461,x5463,x5464),x5464)) % 1.39/1.40 [547]~P16(x5474)+E(f22(x5471,f22(x5472,x5473,x5474),x5474),f22(x5472,f22(x5471,x5473,x5474),x5474)) % 1.39/1.40 [548]~P17(x5484)+E(f22(x5481,f22(x5482,x5483,x5484),x5484),f22(x5482,f22(x5481,x5483,x5484),x5484)) % 1.39/1.40 [549]~P13(x5493)+E(f21(f21(x5491,x5492,x5493),x5494,x5493),f21(x5491,f21(x5492,x5494,x5493),x5493)) % 1.39/1.40 [550]~P16(x5503)+E(f21(f21(x5501,x5502,x5503),x5504,x5503),f21(x5501,f21(x5502,x5504,x5503),x5503)) % 1.39/1.40 [551]~P16(x5513)+E(f22(f22(x5511,x5512,x5513),x5514,x5513),f22(x5511,f22(x5512,x5514,x5513),x5513)) % 1.39/1.40 [552]~P17(x5523)+E(f22(f22(x5521,x5522,x5523),x5524,x5523),f22(x5521,f22(x5522,x5524,x5523),x5523)) % 1.39/1.40 [577]~P14(x5773)+E(f22(f21(x5771,x5772,x5773),f21(x5771,x5774,x5773),x5773),f21(x5771,f22(x5772,x5774,x5773),x5773)) % 1.39/1.40 [578]~P14(x5783)+E(f21(f22(x5781,x5782,x5783),f22(x5781,x5784,x5783),x5783),f22(x5781,f21(x5782,x5784,x5783),x5783)) % 1.39/1.40 [579]~P14(x5793)+E(f22(f21(x5791,x5792,x5793),f21(x5794,x5792,x5793),x5793),f21(f22(x5791,x5794,x5793),x5792,x5793)) % 1.39/1.40 [580]~P14(x5803)+E(f21(f22(x5801,x5802,x5803),f22(x5804,x5802,x5803),x5803),f22(f21(x5801,x5804,x5803),x5802,x5803)) % 1.39/1.40 [581]P3(x5811,x5812,f50(x5813,a1))+~P3(x5811,f22(x5814,x5812,f50(x5813,a1)),f50(x5813,a1)) % 1.39/1.40 [582]P3(x5821,x5822,f50(x5823,a1))+~P3(x5821,f22(x5822,x5824,f50(x5823,a1)),f50(x5823,a1)) % 1.39/1.40 [583]P3(x5831,x5832,f50(x5833,a1))+~P3(f21(x5834,x5831,f50(x5833,a1)),x5832,f50(x5833,a1)) % 1.39/1.40 [584]P3(x5841,x5842,f50(x5843,a1))+~P3(f21(x5841,x5844,f50(x5843,a1)),x5842,f50(x5843,a1)) % 1.39/1.40 [587]~P24(f15(f15(x5873,x5872),x5874))+P24(f15(f15(f45(x5871),x5872),f35(x5873,x5874,x5871))) % 1.39/1.40 [588]~P24(f15(f15(x5883,x5884),x5882))+P24(f15(f15(f45(x5881),x5882),f38(x5883,x5884,x5881))) % 1.39/1.40 [589]~P24(f15(f15(x5893,x5892),x5894))+P24(f15(f15(f45(x5891),x5892),f39(x5893,x5894,x5891))) % 1.39/1.40 [591]~E(f34(x5913,x5911,x5912,x5914),f32(f50(x5914,a1)))+E(x5911,f32(f50(x5912,a1))) % 1.39/1.40 [614]~P3(x6143,x6141,f50(x6144,a1))+E(f22(x6141,f21(x6142,x6143,f50(x6144,a1)),f50(x6144,a1)),f21(f22(x6141,x6142,f50(x6144,a1)),x6143,f50(x6144,a1))) % 1.39/1.40 [615]~P24(f15(f15(f45(x6154),x6153),f38(x6151,x6152,x6154)))+P24(f15(f15(x6151,x6152),x6153)) % 1.39/1.40 [616]~P24(f15(f15(f45(x6164),x6162),f35(x6161,x6163,x6164)))+P24(f15(f15(x6161,x6162),x6163)) % 1.39/1.40 [617]~P24(f15(f15(f45(x6174),x6172),f39(x6171,x6173,x6174)))+P24(f15(f15(x6171,x6172),x6173)) % 1.39/1.40 [651]P3(x6511,x6512,f50(x6513,a1))+~E(f22(x6512,f21(x6514,x6511,f50(x6513,a1)),f50(x6513,a1)),f21(f22(x6512,x6514,f50(x6513,a1)),x6511,f50(x6513,a1))) % 1.39/1.40 [660]~P5(x6601,x6602,x6603,x6604)+E(f28(f34(x6601,x6602,x6603,x6604),x6604),f28(x6602,x6603)) % 1.39/1.40 [661]~P16(x6614)+P3(f21(x6611,f22(x6612,x6613,x6614),x6614),f22(f21(x6611,x6612,x6614),f21(x6611,x6613,x6614),x6614),x6614) % 1.39/1.40 [662]~P16(x6623)+P3(f21(f22(x6621,x6622,x6623),f22(x6621,x6624,x6623),x6623),f22(x6621,f21(x6622,x6624,x6623),x6623),x6623) % 1.39/1.40 [703]E(f34(f17(x7033,x7034,x7032),x7031,x7032,x7034),f21(f15(f4(f43(x7034),x7034,x7034,a1),x7033),f32(f50(x7034,a1)),f50(x7034,a1)))+E(x7031,f32(f50(x7032,a1))) % 1.39/1.40 [721]~P3(x7211,x7214,f50(x7212,a1))+P3(x7211,f21(f15(f4(f43(x7212),x7212,x7212,a1),x7213),x7214,f50(x7212,a1)),f50(x7212,a1)) % 1.39/1.40 [757]~P3(x7573,x7574,f50(x7571,a1))+P3(f21(f15(f4(f43(x7571),x7571,x7571,a1),x7572),x7573,f50(x7571,a1)),f21(f15(f4(f43(x7571),x7571,x7571,a1),x7572),x7574,f50(x7571,a1)),f50(x7571,a1)) % 1.39/1.40 [566]~P24(f15(x5662,x5664))+P24(f15(f21(x5661,x5662,f50(x5663,a1)),x5664)) % 1.39/1.40 [567]~P24(f15(x5671,x5674))+P24(f15(f21(x5671,x5672,f50(x5673,a1)),x5674)) % 1.39/1.40 [603]E(f42(f17(x6031,x6032,x6033),x6034,x6033,x6032),f32(f50(x6033,a1)))+P24(f15(f15(f45(x6032),x6031),x6034)) % 1.39/1.40 [606]P24(f15(x6061,x6062))+~P24(f15(f22(x6063,x6061,f50(x6064,a1)),x6062)) % 1.39/1.40 [607]P24(f15(x6071,x6072))+~P24(f15(f22(x6071,x6073,f50(x6074,a1)),x6072)) % 1.39/1.40 [609]~P24(f15(f15(f45(x6091),x6092),x6094))+P24(f15(f15(f45(x6091),x6092),f21(x6093,x6094,f50(x6091,a1)))) % 1.39/1.40 [610]~P24(f15(f15(f45(x6101),x6102),x6103))+P24(f15(f15(f45(x6101),x6102),f21(x6103,x6104,f50(x6101,a1)))) % 1.39/1.40 [627]P24(f15(x6271,x6272))+~P24(f15(f15(f45(x6273),x6272),f22(x6274,x6271,f50(x6273,a1)))) % 1.39/1.40 [638]P24(f15(f15(f45(x6381),x6382),x6383))+~P24(f15(f15(f45(x6381),x6382),f22(x6384,x6383,f50(x6381,a1)))) % 1.39/1.40 [640]P24(f15(f15(f45(x6401),x6402),x6403))+~P24(f15(f15(f45(x6401),x6402),f22(x6403,x6404,f50(x6401,a1)))) % 1.39/1.40 [725]E(f22(x7251,f21(f15(f4(f43(x7252),x7252,x7252,a1),x7253),x7254,f50(x7252,a1)),f50(x7252,a1)),f22(x7251,x7254,f50(x7252,a1)))+P24(f15(f15(f45(x7252),x7253),x7251)) % 1.39/1.40 [726]E(f22(f21(f15(f4(f43(x7261),x7261,x7261,a1),x7262),x7263,f50(x7261,a1)),x7264,f50(x7261,a1)),f22(x7263,x7264,f50(x7261,a1)))+P24(f15(f15(f45(x7261),x7262),x7264)) % 1.39/1.40 [746]~P3(f21(f15(f4(f43(x7461),x7461,x7461,a1),x7462),x7464,f50(x7461,a1)),x7463,f50(x7461,a1))+P24(f15(f15(f45(x7461),x7462),x7463)) % 1.39/1.40 [747]E(f22(x7471,f21(f15(f4(f43(x7472),x7472,x7472,a1),x7473),x7474,f50(x7472,a1)),f50(x7472,a1)),f21(f15(f4(f43(x7472),x7472,x7472,a1),x7473),f22(x7471,x7474,f50(x7472,a1)),f50(x7472,a1)))+~P24(f15(f15(f45(x7472),x7473),x7471)) % 1.39/1.40 [748]E(f22(f21(f15(f4(f43(x7481),x7481,x7481,a1),x7482),x7483,f50(x7481,a1)),x7484,f50(x7481,a1)),f21(f15(f4(f43(x7481),x7481,x7481,a1),x7482),f22(x7483,x7484,f50(x7481,a1)),f50(x7481,a1)))+~P24(f15(f15(f45(x7481),x7482),x7484)) % 1.39/1.40 [629]~P3(x6292,f21(x6293,x6294,f50(x6291,a1)),f50(x6291,a1))+P3(f15(f15(f23(f50(x6291,a1)),x6292),x6293),x6294,f50(x6291,a1)) % 1.39/1.40 [652]P3(x6521,f21(x6522,x6523,f50(x6524,a1)),f50(x6524,a1))+~P3(f15(f15(f23(f50(x6524,a1)),x6521),x6522),x6523,f50(x6524,a1)) % 1.39/1.40 [761]E(f15(f15(f23(f50(x7611,a1)),f21(f15(f4(f43(x7611),x7611,x7611,a1),x7612),x7613,f50(x7611,a1))),x7614),f15(f15(f23(f50(x7611,a1)),x7613),x7614))+~P24(f15(f15(f45(x7611),x7612),x7614)) % 1.39/1.40 [766]E(f29(x7661,f15(f15(f23(f50(x7662,a1)),x7663),f21(f15(f4(f43(x7662),x7662,x7662,a1),x7664),f32(f50(x7662,a1)),f50(x7662,a1))),x7662,a49),f29(x7661,x7663,x7662,a49))+P24(f15(f15(f45(x7662),x7664),x7663)) % 1.39/1.40 [767]E(f21(f15(f4(f43(x7671),x7671,x7671,a1),x7672),f15(f15(f23(f50(x7671,a1)),x7673),x7674),f50(x7671,a1)),f15(f15(f23(f50(x7671,a1)),f21(f15(f4(f43(x7671),x7671,x7671,a1),x7672),x7673,f50(x7671,a1))),x7674))+P24(f15(f15(f45(x7671),x7672),x7674)) % 1.39/1.40 [678]P24(f15(f15(f45(x6781),x6782),x6783))+~P24(f15(f15(f45(x6781),x6782),f15(f15(f23(f50(x6781,a1)),x6783),x6784))) % 1.39/1.40 [684]~P24(f15(f15(f45(x6841),x6842),x6843))+~P24(f15(f15(f45(x6841),x6842),f15(f15(f23(f50(x6841,a1)),x6844),x6843))) % 1.39/1.40 [680]~P3(x6802,x6805,f50(x6803,a1))+P3(f34(x6801,x6802,x6803,x6804),f34(x6801,x6805,x6803,x6804),f50(x6804,a1)) % 1.39/1.40 [681]~P3(x6812,x6815,f50(x6814,a1))+P3(f42(x6811,x6812,x6813,x6814),f42(x6811,x6815,x6813,x6814),f50(x6813,a1)) % 1.39/1.40 [714]~E(f27(x7141,x7142,x7143,x7144,x7145),x7141)+E(f15(x7141,x7142),x7143) % 1.39/1.40 [657]P5(x6571,x6572,x6573,x6574)+~P5(x6571,f21(x6575,x6572,f50(x6573,a1)),x6573,x6574) % 1.39/1.40 [658]P5(x6581,x6582,x6583,x6584)+~P5(x6581,f21(x6582,x6585,f50(x6583,a1)),x6583,x6584) % 1.39/1.40 [677]~P24(f15(x6772,f15(x6771,x6775)))+P24(f15(f42(x6771,x6772,x6773,x6774),x6775)) % 1.39/1.40 [706]P24(f15(x7061,f15(x7062,x7063)))+~P24(f15(f42(x7062,x7061,x7064,x7065),x7063)) % 1.39/1.40 [709]~P24(f15(f15(f45(x7094),x7093),f36(x7091,x7092,x7095,x7094)))+P24(f15(f15(x7091,x7092),x7093)) % 1.39/1.40 [710]~P24(f15(f15(f45(x7104),x7103),f40(x7101,x7102,x7105,x7104)))+P24(f15(f15(x7101,x7102),x7103)) % 1.39/1.40 [711]~P24(f15(f15(f45(x7114),x7112),f36(x7111,x7115,x7113,x7114)))+P24(f15(f15(x7111,x7112),x7113)) % 1.39/1.40 [712]~P24(f15(f15(f45(x7124),x7122),f40(x7121,x7125,x7123,x7124)))+P24(f15(f15(x7121,x7122),x7123)) % 1.39/1.40 [737]~P5(x7371,f21(x7373,x7374,f50(x7372,a1)),x7372,x7375)+E(f22(f34(x7371,f15(f15(f23(f50(x7372,a1)),x7373),x7374),x7372,x7375),f34(x7371,f15(f15(f23(f50(x7372,a1)),x7374),x7373),x7372,x7375),f50(x7375,a1)),f32(f50(x7375,a1))) % 1.39/1.40 [781]E(x7811,x7812)+~P6(x7813,x7812,f32(f50(x7814,a1)),x7811,x7814,x7815) % 1.39/1.40 [653]P3(f15(x6531,x6532),f24(x6533,x6531,x6534,f50(x6535,a1)),f50(x6535,a1))+~P24(f15(f15(f45(x6534),x6532),x6533)) % 1.39/1.40 [671]E(f21(f15(x6711,x6712),f24(x6713,x6711,x6714,f50(x6715,a1)),f50(x6715,a1)),f24(x6713,x6711,x6714,f50(x6715,a1)))+~P24(f15(f15(f45(x6714),x6712),x6713)) % 1.39/1.40 [695]P24(f15(f15(f45(x6951),f15(x6952,x6953)),f34(x6952,x6954,x6955,x6951)))+~P24(f15(f15(f45(x6955),x6953),x6954)) % 1.39/1.40 [701]P24(f15(f15(f45(x7011),x7012),f42(x7013,x7014,x7011,x7015)))+~P24(f15(f15(f45(x7015),f15(x7013,x7012)),x7014)) % 1.39/1.40 [707]E(f34(f17(x7071,x7072,x7073),x7074,x7073,x7072),f21(f15(f4(f43(x7072),x7072,x7072,a1),x7071),f32(f50(x7072,a1)),f50(x7072,a1)))+~P24(f15(f15(f45(x7073),x7075),x7074)) % 1.39/1.40 [716]~P24(f15(f15(f45(x7165),x7163),f42(x7162,x7164,x7165,x7161)))+P24(f15(f15(f45(x7161),f15(x7162,x7163)),x7164)) % 1.39/1.40 [717]E(f21(f15(f4(f43(x7171),x7171,x7171,a1),f15(x7172,x7173)),f34(x7172,x7174,x7175,x7171),f50(x7171,a1)),f34(x7172,x7174,x7175,x7171))+~P24(f15(f15(f45(x7175),x7173),x7174)) % 1.39/1.40 [664]~P5(x6641,x6643,x6642,x6645)+P5(x6641,f15(f15(f23(f50(x6642,a1)),x6643),x6644),x6642,x6645) % 1.39/1.40 [780]~P19(x7801)+E(f29(f18(f5(f23(x7801),x7802,x7801,f50(x7801,x7801),x7803),x7804,x7803,x7801,x7801),x7805,x7803,x7801),f15(f15(f23(x7801),f29(x7802,x7805,x7803,x7801)),f29(x7804,x7805,x7803,x7801))) % 1.39/1.40 [797]E(f15(x7971,x7972),x7973)+~P24(f15(f15(f45(x7974),x7972),f42(x7971,f21(f15(f4(f43(x7975),x7975,x7975,a1),x7973),f32(f50(x7975,a1)),f50(x7975,a1)),x7974,x7975))) % 1.39/1.40 [802]~P5(x8021,f21(f15(f4(f43(x8022),x8022,x8022,a1),x8023),x8024,f50(x8022,a1)),x8022,x8025)+~P24(f15(f15(f45(x8025),f15(x8021,x8023)),f34(x8021,f15(f15(f23(f50(x8022,a1)),x8024),f21(f15(f4(f43(x8022),x8022,x8022,a1),x8023),f32(f50(x8022,a1)),f50(x8022,a1))),x8022,x8025))) % 1.39/1.40 [460]E(x4601,x4602)+~E(f19(x4603,x4604,x4601),f19(x4605,x4606,x4602)) % 1.39/1.40 [461]E(x4611,x4612)+~E(f19(x4613,x4611,x4614),f19(x4615,x4612,x4616)) % 1.39/1.40 [462]E(x4621,x4622)+~E(f19(x4621,x4623,x4624),f19(x4622,x4625,x4626)) % 1.39/1.40 [723]E(x7231,x7232)+E(f15(f27(x7233,x7231,x7234,x7235,x7236),x7232),f15(x7233,x7232)) % 1.39/1.40 [774]~P24(f15(f15(f45(x7744),x7743),f37(x7741,x7745,x7742,x7746,x7744)))+P24(f15(f15(x7741,x7742),x7743)) % 1.39/1.40 [775]~P24(f15(f15(f45(x7754),x7753),f41(x7755,x7751,x7752,x7756,x7754)))+P24(f15(f15(x7751,x7752),x7753)) % 1.39/1.40 [776]~P24(f15(f15(f45(x7764),x7762),f37(x7765,x7761,x7766,x7763,x7764)))+P24(f15(f15(x7761,x7762),x7763)) % 1.39/1.40 [777]~P24(f15(f15(f45(x7774),x7772),f41(x7771,x7775,x7776,x7773,x7774)))+P24(f15(f15(x7771,x7772),x7773)) % 1.39/1.40 [738]E(f34(f27(x7381,x7382,x7383,x7384,x7385),x7386,x7384,x7385),f34(x7381,x7386,x7384,x7385))+P24(f15(f15(f45(x7384),x7382),x7386)) % 1.39/1.40 [796]E(f21(f15(f4(f43(x7961),x7961,x7961,a1),x7962),f34(x7963,f15(f15(f23(f50(x7964,a1)),x7965),f21(f15(f4(f43(x7964),x7964,x7964,a1),x7966),f32(f50(x7964,a1)),f50(x7964,a1))),x7964,x7961),f50(x7961,a1)),f34(f27(x7963,x7966,x7962,x7964,x7961),x7965,x7964,x7961))+~P24(f15(f15(f45(x7964),x7966),x7965)) % 1.39/1.40 [647]E(x6471,x6472)+~E(f31(x6473,x6474,x6471,x6475),f31(x6476,x6477,x6472,x6475)) % 1.39/1.40 [648]E(x6481,x6482)+~E(f31(x6483,x6481,x6484,x6485),f31(x6486,x6482,x6487,x6485)) % 1.39/1.40 [649]E(x6491,x6492)+~E(f31(x6491,x6493,x6494,x6495),f31(x6492,x6496,x6497,x6495)) % 1.39/1.40 [771]E(x7711,x7712)+E(f27(f27(x7713,x7711,x7714,x7715,x7716),x7712,x7717,x7715,x7716),f27(f27(x7713,x7712,x7717,x7715,x7716),x7711,x7714,x7715,x7716)) % 1.39/1.40 [813]~P7(x8132,x8131,x8133,x8135,x8137,x8136,x8139,x8138,x8134)+P7(x8131,x8132,f4(x8133,x8134,x8134,a1),f4(x8135,x8134,x8134,a1),x8136,x8137,x8138,x8139,x8134) % 1.39/1.40 [803]~P7(x8034,x8031,x8035,x8036,x8037,x8038,x8033,x8039,x8032)+E(f15(x8031,f32(f50(x8032,a1))),x8033) % 1.39/1.40 [804]~P7(x8041,x8044,x8045,x8046,x8047,x8048,x8049,x8043,x8042)+E(f15(x8041,f32(f50(x8042,a1))),x8043) % 1.39/1.40 [809]~P7(x8094,x8091,x8095,x8096,x8097,x8098,x8099,x80910,x8092)+E(f15(x8091,f21(f15(f4(f43(x8092),x8092,x8092,a1),x8093),f32(f50(x8092,a1)),f50(x8092,a1))),x8093) % 1.39/1.40 [810]~P7(x8101,x8104,x8105,x8106,x8107,x8108,x8109,x81010,x8102)+E(f15(x8101,f21(f15(f4(f43(x8102),x8102,x8102,a1),x8103),f32(f50(x8102,a1)),f50(x8102,a1))),x8103) % 1.39/1.40 [807]~P7(x8076,x8071,x8077,x8078,x8079,x8075,x80710,x80711,x8072)+E(f15(x8071,f21(f15(f4(f43(x8072),x8072,x8072,a1),x8073),x8074,f50(x8072,a1))),f15(f15(x8075,x8073),f15(x8071,x8074))) % 1.39/1.40 [808]~P7(x8081,x8086,x8087,x8088,x8085,x8089,x80810,x80811,x8082)+E(f15(x8081,f21(f15(f4(f43(x8082),x8082,x8082,a1),x8083),x8084,f50(x8082,a1))),f15(f15(x8085,x8083),f15(x8081,x8084))) % 1.39/1.40 [811]~P7(x8116,x8111,x8117,x8118,x8119,x8115,x81110,x81111,x8112)+E(f15(x8111,f21(f15(f4(f43(x8112),x8112,x8112,a1),x8113),f21(f15(f4(f43(x8112),x8112,x8112,a1),x8114),f32(f50(x8112,a1)),f50(x8112,a1)),f50(x8112,a1))),f15(f15(x8115,x8113),x8114)) % 1.39/1.40 [812]~P7(x8121,x8126,x8127,x8128,x8125,x8129,x81210,x81211,x8122)+E(f15(x8121,f21(f15(f4(f43(x8122),x8122,x8122,a1),x8123),f21(f15(f4(f43(x8122),x8122,x8122,a1),x8124),f32(f50(x8122,a1)),f50(x8122,a1)),f50(x8122,a1))),f15(f15(x8125,x8123),x8124)) % 1.39/1.40 [459]E(x4591,x4592)+~P3(x4592,x4591,a49)+~P3(x4591,x4592,a49) % 1.39/1.40 [443]P3(x4431,x4432,a49)+E(x4431,f20(x4432))+~P3(x4431,f20(x4432),a49) % 1.39/1.40 [413]P3(x4132,x4131,x4133)+~P23(x4133)+P3(x4131,x4132,x4133) % 1.39/1.40 [416]P8(x4162,x4161,x4163)+~P23(x4163)+P3(x4161,x4162,x4163) % 1.39/1.40 [425]~P21(x4253)+~P8(x4251,x4252,x4253)+P3(x4251,x4252,x4253) % 1.39/1.40 [426]~P22(x4263)+~P8(x4261,x4262,x4263)+P3(x4261,x4262,x4263) % 1.39/1.40 [467]~P8(x4673,x4672,x4671)+~P21(x4671)+~P3(x4672,x4673,x4671) % 1.39/1.40 [469]~P8(x4693,x4692,x4691)+~P21(x4691)+~P8(x4692,x4693,x4691) % 1.39/1.40 [470]~P8(x4703,x4702,x4701)+~P22(x4701)+~P8(x4702,x4703,x4701) % 1.39/1.40 [472]~P8(x4723,x4722,x4721)+~P23(x4721)+~P3(x4722,x4723,x4721) % 1.39/1.40 [474]~P8(x4743,x4742,x4741)+~P23(x4741)+~P8(x4742,x4743,x4741) % 1.39/1.40 [495]~P3(x4951,x4953,a49)+P3(x4951,x4952,a49)+~P3(x4953,x4952,a49) % 1.39/1.40 [404]~P15(x4042)+~E(f21(x4043,x4041,x4042),f32(x4042))+E(x4041,f32(x4042)) % 1.39/1.40 [405]~P15(x4052)+~E(f21(x4051,x4053,x4052),f32(x4052))+E(x4051,f32(x4052)) % 1.39/1.40 [427]~P13(x4273)+~P3(x4271,x4272,x4273)+E(f21(x4271,x4272,x4273),x4272) % 1.39/1.40 [428]~P13(x4283)+~P3(x4282,x4281,x4283)+E(f21(x4281,x4282,x4283),x4281) % 1.39/1.40 [429]~P17(x4293)+~P3(x4292,x4291,x4293)+E(f22(x4291,x4292,x4293),x4292) % 1.39/1.40 [430]~P17(x4303)+~P3(x4301,x4302,x4303)+E(f22(x4301,x4302,x4303),x4301) % 1.39/1.40 [432]~P13(x4323)+P3(x4321,x4322,x4323)+~E(f21(x4321,x4322,x4323),x4322) % 1.39/1.40 [433]~P17(x4333)+P3(x4331,x4332,x4333)+~E(f22(x4331,x4332,x4333),x4331) % 1.39/1.40 [491]E(x4911,x4912)+~P3(x4911,x4912,f50(x4913,a1))+P8(x4911,x4912,f50(x4913,a1)) % 1.39/1.40 [511]E(x5111,x5112)+~P3(x5111,x5112,f50(x5113,a1))+~P3(x5112,x5111,f50(x5113,a1)) % 1.39/1.40 [611]~P11(a57,x6113,a58,x6112)+~P24(f15(f15(a51,x6111),x6113))+P24(f15(f15(a54,x6111),x6112)) % 1.39/1.40 [612]~P11(a59,x6123,a58,x6122)+~P24(f15(f15(a54,x6121),x6123))+P24(f15(f15(a55,x6121),x6122)) % 1.39/1.40 [762]~P3(x7621,f21(f15(f4(f43(x7622),x7622,x7622,a1),x7623),f32(f50(x7622,a1)),f50(x7622,a1)),f50(x7622,a1))+E(x7621,f21(f15(f4(f43(x7622),x7622,x7622,a1),x7623),f32(f50(x7622,a1)),f50(x7622,a1)))+E(x7621,f32(f50(x7622,a1))) % 1.39/1.40 [553]P10(x5531,x5532,a2)+P9(f63(x5531,x5532),x5533,a2)+~P24(f15(f15(f45(f48(a2)),x5533),x5531)) % 1.39/1.40 [570]P9(x5701,x5702,a2)+~P9(f20(x5701),f66(x5701,x5703),a2)+~P24(f15(f15(f45(f48(a2)),x5702),x5703)) % 1.39/1.40 [604]P9(x6041,x6042,a2)+P24(f15(f15(f45(f48(a2)),f66(x6041,x6043)),x6043))+~P24(f15(f15(f45(f48(a2)),x6042),x6043)) % 1.39/1.40 [465]~P4(x4653,x4654,x4651)+E(x4651,x4652)+~P4(x4653,x4654,x4652) % 1.39/1.40 [447]E(x4471,x4472)+~P4(f25(x4473,x4474),x4471,x4472)+P24(f15(x4473,x4471)) % 1.39/1.40 [484]~P3(x4843,x4841,f50(x4844,a1))+P24(f15(x4841,x4842))+~P24(f15(x4843,x4842)) % 1.39/1.40 [493]~P1(x4934)+P3(x4931,x4932,f50(x4933,x4934))+~P8(x4931,x4932,f50(x4933,x4934)) % 1.39/1.40 [514]~P13(x5144)+~P3(x5141,x5143,x5144)+P3(x5141,f21(x5142,x5143,x5144),x5144) % 1.39/1.40 [515]~P13(x5154)+~P3(x5151,x5152,x5154)+P3(x5151,f21(x5152,x5153,x5154),x5154) % 1.39/1.40 [516]~P13(x5164)+~P8(x5161,x5163,x5164)+P8(x5161,f21(x5162,x5163,x5164),x5164) % 1.39/1.40 [517]~P13(x5174)+~P8(x5171,x5172,x5174)+P8(x5171,f21(x5172,x5173,x5174),x5174) % 1.39/1.40 [518]~P17(x5183)+~P3(x5182,x5184,x5183)+P3(f22(x5181,x5182,x5183),x5184,x5183) % 1.39/1.40 [519]~P17(x5193)+~P3(x5191,x5194,x5193)+P3(f22(x5191,x5192,x5193),x5194,x5193) % 1.39/1.40 [520]~P17(x5203)+~P8(x5202,x5204,x5203)+P8(f22(x5201,x5202,x5203),x5204,x5203) % 1.39/1.40 [521]~P17(x5213)+~P8(x5211,x5214,x5213)+P8(f22(x5211,x5212,x5213),x5214,x5213) % 1.39/1.40 [522]~P1(x5221)+~P3(x5222,x5223,f50(x5224,x5221))+~P8(x5223,x5222,f50(x5224,x5221)) % 1.39/1.40 [534]~P17(x5343)+P3(x5341,x5342,x5343)+~P3(x5341,f22(x5344,x5342,x5343),x5343) % 1.39/1.40 [536]~P17(x5363)+P3(x5361,x5362,x5363)+~P3(x5361,f22(x5362,x5364,x5363),x5363) % 1.39/1.40 [538]~P13(x5383)+P3(x5381,x5382,x5383)+~P3(f21(x5384,x5381,x5383),x5382,x5383) % 1.39/1.40 [540]~P13(x5403)+P3(x5401,x5402,x5403)+~P3(f21(x5401,x5404,x5403),x5402,x5403) % 1.39/1.40 [541]~P3(x5411,x5414,f50(x5413,a1))+~P3(x5414,x5412,f50(x5413,a1))+P3(x5411,x5412,f50(x5413,a1)) % 1.39/1.40 [542]~P8(x5421,x5424,f50(x5423,a1))+~P3(x5424,x5422,f50(x5423,a1))+P8(x5421,x5422,f50(x5423,a1)) % 1.39/1.40 [543]~P8(x5434,x5432,f50(x5433,a1))+~P3(x5431,x5434,f50(x5433,a1))+P8(x5431,x5432,f50(x5433,a1)) % 1.39/1.40 [544]~P8(x5441,x5444,f50(x5443,a1))+~P8(x5444,x5442,f50(x5443,a1))+P8(x5441,x5442,f50(x5443,a1)) % 1.39/1.40 [569]~P2(x5694)+E(f24(x5691,f17(x5693,x5694,x5692),x5692,x5694),x5693)+E(x5691,f32(f50(x5692,a1))) % 1.39/1.40 [599]~P3(x5991,x5992,f50(x5994,a1))+~P3(x5991,x5993,f50(x5994,a1))+P3(x5991,f22(x5992,x5993,f50(x5994,a1)),f50(x5994,a1)) % 1.39/1.40 [601]~P3(x6011,x6014,f50(x6013,a1))+~P3(x6012,x6014,f50(x6013,a1))+P3(f21(x6011,x6012,f50(x6013,a1)),x6014,f50(x6013,a1)) % 1.39/1.40 [463]~P19(x4633)+E(x4631,x4632)+~E(f15(f15(f23(x4633),x4634),x4634),f15(f15(f23(x4633),x4631),x4632)) % 1.39/1.40 [464]~P19(x4643)+E(x4641,x4642)+~E(f15(f15(f23(x4643),x4641),x4642),f15(f15(f23(x4643),x4644),x4644)) % 1.39/1.40 [574]~P3(x5744,x5743,f50(x5741,a1))+~P24(f15(f15(f45(x5741),x5742),x5744))+P24(f15(f15(f45(x5741),x5742),x5743)) % 1.39/1.40 [575]~P8(x5754,x5753,f50(x5751,a1))+~P24(f15(f15(f45(x5751),x5752),x5754))+P24(f15(f15(f45(x5751),x5752),x5753)) % 1.39/1.40 [576]~P24(f15(x5762,x5764))+~P24(f15(x5761,x5764))+P24(f15(f22(x5761,x5762,f50(x5763,a1)),x5764)) % 1.39/1.40 [592]~P24(f15(x5921,x5924))+P24(f15(x5921,f6(x5922,x5921,x5923)))+~P24(f15(f15(f45(x5923),x5924),x5922)) % 1.39/1.40 [593]~P24(f15(x5931,x5934))+P24(f15(x5931,f11(x5932,x5931,x5933)))+~P24(f15(f15(f45(x5933),x5934),x5932)) % 1.39/1.40 [594]~P24(f15(x5941,x5944))+P24(f15(x5941,f12(x5942,x5941,x5943)))+~P24(f15(f15(f45(x5943),x5944),x5942)) % 1.39/1.40 [595]~P24(f15(x5951,x5954))+P24(f15(x5951,f13(x5952,x5951,x5953)))+~P24(f15(f15(f45(x5953),x5954),x5952)) % 1.39/1.40 [605]~E(f22(x6051,x6052,f50(x6053,a1)),f32(f50(x6053,a1)))+~P24(f15(f15(f45(x6053),x6054),x6051))+~P24(f15(f15(f45(x6053),x6054),x6052)) % 1.39/1.40 [613]P24(f15(x6131,x6132))+~P24(f15(x6131,f7(x6133,x6131,x6134)))+~P24(f15(f15(f45(x6134),x6132),x6133)) % 1.39/1.40 [618]P24(f15(x6181,x6182))+P24(f15(x6183,x6182))+~P24(f15(f21(x6181,x6183,f50(x6184,a1)),x6182)) % 1.39/1.40 [621]~P24(f15(x6214,x6212))+~P24(f15(f15(f45(x6211),x6212),x6213))+P24(f15(f15(f45(x6211),x6212),f22(x6213,x6214,f50(x6211,a1)))) % 1.39/1.40 [630]P24(f15(x6301,x6302))+P24(f15(f15(f45(x6303),f7(x6304,x6301,x6303)),x6304))+~P24(f15(f15(f45(x6303),x6302),x6304)) % 1.39/1.40 [632]~P24(f15(f15(f45(x6321),x6322),x6324))+~P24(f15(f15(f45(x6321),x6322),x6323))+P24(f15(f15(f45(x6321),x6322),f22(x6323,x6324,f50(x6321,a1)))) % 1.39/1.40 [634]~P24(f15(x6343,x6344))+~P24(f15(f15(f45(x6341),x6344),x6342))+P24(f15(f15(f45(x6341),f6(x6342,x6343,x6341)),x6342)) % 1.39/1.40 [635]~P24(f15(x6353,x6354))+~P24(f15(f15(f45(x6351),x6354),x6352))+P24(f15(f15(f45(x6351),f11(x6352,x6353,x6351)),x6352)) % 1.39/1.40 [636]~P24(f15(x6363,x6364))+~P24(f15(f15(f45(x6361),x6364),x6362))+P24(f15(f15(f45(x6361),f12(x6362,x6363,x6361)),x6362)) % 1.39/1.40 [637]~P24(f15(x6373,x6374))+~P24(f15(f15(f45(x6371),x6374),x6372))+P24(f15(f15(f45(x6371),f13(x6372,x6373,x6371)),x6372)) % 1.39/1.40 [656]P24(f15(f15(f45(x6561),x6562),x6563))+P24(f15(f15(f45(x6561),x6562),x6564))+~P24(f15(f15(f45(x6561),x6562),f21(x6563,x6564,f50(x6561,a1)))) % 1.39/1.40 [729]~P8(x7291,x7294,f50(x7292,a1))+P8(x7291,f21(f15(f4(f43(x7292),x7292,x7292,a1),x7293),x7294,f50(x7292,a1)),f50(x7292,a1))+~P24(f15(f15(f45(x7292),x7293),x7294)) % 1.39/1.40 [730]~P3(x7303,x7304,f50(x7301,a1))+P3(f21(f15(f4(f43(x7301),x7301,x7301,a1),x7302),x7303,f50(x7301,a1)),x7304,f50(x7301,a1))+~P24(f15(f15(f45(x7301),x7302),x7304)) % 1.39/1.40 [751]P3(x7511,x7512,f50(x7513,a1))+~P3(x7511,f21(f15(f4(f43(x7513),x7513,x7513,a1),x7514),x7512,f50(x7513,a1)),f50(x7513,a1))+P24(f15(f15(f45(x7513),x7514),x7511)) % 1.39/1.40 [752]P8(x7521,x7522,f50(x7523,a1))+~P8(x7521,f21(f15(f4(f43(x7523),x7523,x7523,a1),x7524),x7522,f50(x7523,a1)),f50(x7523,a1))+~P24(f15(f15(f45(x7523),x7524),x7522)) % 1.39/1.40 [770]E(x7701,x7702)+P24(f15(x7703,x7701))+~P24(f15(f21(f15(f4(f43(x7704),x7704,x7704,a1),x7702),x7703,f50(x7704,a1)),x7701)) % 1.39/1.40 [772]E(x7721,x7722)+P24(f15(f15(f45(x7723),x7721),x7724))+~P24(f15(f15(f45(x7723),x7721),f21(f15(f4(f43(x7723),x7723,x7723,a1),x7722),x7724,f50(x7723,a1)))) % 1.39/1.40 [778]~P3(x7782,f21(f15(f4(f43(x7781),x7781,x7781,a1),x7783),x7784,f50(x7781,a1)),f50(x7781,a1))+P3(f15(f15(f23(f50(x7781,a1)),x7782),f21(f15(f4(f43(x7781),x7781,x7781,a1),x7783),f32(f50(x7781,a1)),f50(x7781,a1))),x7784,f50(x7781,a1))+~P24(f15(f15(f45(x7781),x7783),x7782)) % 1.39/1.40 [784]P3(x7841,f21(f15(f4(f43(x7842),x7842,x7842,a1),x7843),x7844,f50(x7842,a1)),f50(x7842,a1))+~P3(f15(f15(f23(f50(x7842,a1)),x7841),f21(f15(f4(f43(x7842),x7842,x7842,a1),x7843),f32(f50(x7842,a1)),f50(x7842,a1))),x7844,f50(x7842,a1))+~P24(f15(f15(f45(x7842),x7843),x7841)) % 1.39/1.40 [624]~P3(x6242,x6243,f50(x6241,a1))+~P3(x6244,x6242,f50(x6241,a1))+E(f15(f15(f23(f50(x6241,a1)),x6242),f15(f15(f23(f50(x6241,a1)),x6243),x6244)),x6244) % 1.39/1.40 [666]~P24(f15(f15(f45(x6661),x6662),x6664))+P24(f15(f15(f45(x6661),x6662),x6663))+P24(f15(f15(f45(x6661),x6662),f15(f15(f23(f50(x6661,a1)),x6664),x6663))) % 1.39/1.40 [628]~P11(x6281,x6282,x6285,x6284)+P11(x6281,x6282,x6283,x6284)+~P3(x6285,x6283,a49) % 1.39/1.40 [509]~P1(x5094)+P3(f15(x5091,x5092),f15(x5093,x5092),x5094)+~P3(x5091,x5093,f50(x5095,x5094)) % 1.39/1.40 [513]~P4(x5131,x5133,x5135)+~P4(x5132,x5135,x5134)+P4(f26(x5131,x5132),x5133,x5134) % 1.39/1.40 [523]~P4(x5234,x5232,x5235)+P4(f19(x5231,x5233,x5234),x5232,x5235)+P24(f15(x5231,x5232)) % 1.39/1.40 [525]~P4(x5252,x5254,x5255)+P4(f19(x5251,x5252,x5253),x5254,x5255)+~P24(f15(x5251,x5254)) % 1.39/1.40 [554]P4(x5541,x5542,x5543)+~P4(f19(x5544,x5545,x5541),x5542,x5543)+P24(f15(x5544,x5542)) % 1.39/1.40 [562]P4(x5621,x5622,x5623)+~P4(f19(x5624,x5621,x5625),x5622,x5623)+~P24(f15(x5624,x5622)) % 1.39/1.40 [564]P4(x5641,x5642,x5643)+P4(x5644,x5642,x5643)+~P4(f19(x5645,x5641,x5644),x5642,x5643) % 1.39/1.40 [596]E(x5961,x5962)+~P11(f25(x5963,x5964),x5961,x5965,x5962)+P24(f15(x5963,x5961)) % 1.39/1.40 [641]P5(x6411,x6412,x6413,x6414)+~P5(x6411,x6415,x6413,x6414)+~P3(x6412,x6415,f50(x6413,a1)) % 1.39/1.40 [619]~P3(x6191,x6194,f50(x6193,a1))+~P3(x6192,x6195,f50(x6193,a1))+P3(f21(x6191,x6192,f50(x6193,a1)),f21(x6194,x6195,f50(x6193,a1)),f50(x6193,a1)) % 1.39/1.40 [620]~P3(x6201,x6204,f50(x6203,a1))+~P3(x6202,x6205,f50(x6203,a1))+P3(f22(x6201,x6202,f50(x6203,a1)),f22(x6204,x6205,f50(x6203,a1)),f50(x6203,a1)) % 1.39/1.40 [690]~P24(f15(f15(x6903,x6904),x6902))+~P24(f15(f15(x6903,x6902),x6905))+P24(f15(f15(f45(x6901),x6902),f36(x6903,x6904,x6905,x6901))) % 1.39/1.40 [691]~P24(f15(f15(x6913,x6914),x6912))+~P24(f15(f15(x6913,x6912),x6915))+P24(f15(f15(f45(x6911),x6912),f40(x6913,x6914,x6915,x6911))) % 1.39/1.40 [698]E(x6981,x6982)+~E(f34(x6983,x6981,x6984,x6985),f34(x6983,x6982,x6984,x6985))+~P5(x6983,f21(x6981,x6982,f50(x6984,a1)),x6984,x6985) % 1.39/1.40 [789]E(x7891,x7892)+E(x7891,x7893)+~E(f21(f15(f4(f43(x7894),x7894,x7894,a1),x7895),f21(f15(f4(f43(x7894),x7894,x7894,a1),x7891),f32(f50(x7894,a1)),f50(x7894,a1)),f50(x7894,a1)),f21(f15(f4(f43(x7894),x7894,x7894,a1),x7893),f21(f15(f4(f43(x7894),x7894,x7894,a1),x7892),f32(f50(x7894,a1)),f50(x7894,a1)),f50(x7894,a1))) % 1.39/1.40 [790]E(x7901,x7902)+E(x7903,x7902)+~E(f21(f15(f4(f43(x7904),x7904,x7904,a1),x7903),f21(f15(f4(f43(x7904),x7904,x7904,a1),x7901),f32(f50(x7904,a1)),f50(x7904,a1)),f50(x7904,a1)),f21(f15(f4(f43(x7904),x7904,x7904,a1),x7905),f21(f15(f4(f43(x7904),x7904,x7904,a1),x7902),f32(f50(x7904,a1)),f50(x7904,a1)),f50(x7904,a1))) % 1.39/1.40 [791]E(x7911,x7912)+E(x7913,x7912)+~E(f21(f15(f4(f43(x7914),x7914,x7914,a1),x7913),f21(f15(f4(f43(x7914),x7914,x7914,a1),x7911),f32(f50(x7914,a1)),f50(x7914,a1)),f50(x7914,a1)),f21(f15(f4(f43(x7914),x7914,x7914,a1),x7912),f21(f15(f4(f43(x7914),x7914,x7914,a1),x7915),f32(f50(x7914,a1)),f50(x7914,a1)),f50(x7914,a1))) % 1.39/1.40 [792]E(x7921,x7922)+E(x7921,x7923)+~E(f21(f15(f4(f43(x7924),x7924,x7924,a1),x7921),f21(f15(f4(f43(x7924),x7924,x7924,a1),x7925),f32(f50(x7924,a1)),f50(x7924,a1)),f50(x7924,a1)),f21(f15(f4(f43(x7924),x7924,x7924,a1),x7923),f21(f15(f4(f43(x7924),x7924,x7924,a1),x7922),f32(f50(x7924,a1)),f50(x7924,a1)),f50(x7924,a1))) % 1.39/1.40 [626]E(f15(x6261,x6262),f32(f50(x6263,a1)))+~E(f24(x6264,x6261,x6265,f50(x6263,a1)),f32(f50(x6263,a1)))+~P24(f15(f15(f45(x6265),x6262),x6264)) % 1.39/1.40 [633]~P2(x6335)+P3(f15(x6331,x6332),f24(x6333,x6331,x6334,x6335),x6335)+~P24(f15(f15(f45(x6334),x6332),x6333)) % 1.39/1.40 [682]~P24(f15(x6821,x6825))+P24(f15(x6821,f14(x6822,x6823,x6821,x6824)))+~P24(f15(f15(f45(x6824),x6825),x6823)) % 1.39/1.40 [683]~P24(f15(x6831,x6835))+P24(f15(x6831,f14(x6832,x6833,x6831,x6834)))+~P24(f15(f15(f45(x6834),x6835),x6832)) % 1.39/1.40 [719]P24(f15(x7191,x7192))+P24(f15(f15(f45(x7193),f9(x7194,x7195,x7191,x7193)),x7194))+~P24(f15(f15(f45(x7193),x7192),x7194)) % 1.39/1.40 [720]P24(f15(x7201,x7202))+P24(f15(f15(f45(x7203),f9(x7204,x7201,x7205,x7203)),x7204))+~P24(f15(f15(f45(x7203),x7202),x7204)) % 1.39/1.40 [731]~P24(f15(x7314,x7315))+~P24(f15(f15(f45(x7311),x7315),x7313))+P24(f15(f15(f45(x7311),f14(x7312,x7313,x7314,x7311)),f21(x7312,x7313,f50(x7311,a1)))) % 1.39/1.40 [732]~P24(f15(x7324,x7325))+~P24(f15(f15(f45(x7321),x7325),x7322))+P24(f15(f15(f45(x7321),f14(x7322,x7323,x7324,x7321)),f21(x7322,x7323,f50(x7321,a1)))) % 1.39/1.40 [659]~P3(x6592,x6594,f50(x6591,a1))+~P3(x6595,x6593,f50(x6591,a1))+P3(f15(f15(f23(f50(x6591,a1)),x6592),x6593),f15(f15(f23(f50(x6591,a1)),x6594),x6595),f50(x6591,a1)) % 1.39/1.40 [801]~P5(x8011,x8014,x8012,x8015)+P5(x8011,f21(f15(f4(f43(x8012),x8012,x8012,a1),x8013),x8014,f50(x8012,a1)),x8012,x8015)+P24(f15(f15(f45(x8015),f15(x8011,x8013)),f34(x8011,f15(f15(f23(f50(x8012,a1)),x8014),f21(f15(f4(f43(x8012),x8012,x8012,a1),x8013),f32(f50(x8012,a1)),f50(x8012,a1))),x8012,x8015))) % 1.39/1.40 [646]~P11(x6464,x6462,x6465,x6466)+P11(f19(x6461,x6463,x6464),x6462,x6465,x6466)+P24(f15(x6461,x6462)) % 1.39/1.40 [650]~P11(x6502,x6504,x6505,x6506)+P11(f19(x6501,x6502,x6503),x6504,x6505,x6506)+~P24(f15(x6501,x6504)) % 1.39/1.40 [654]P11(x6543,x6542,x6544,x6545)+~P11(f19(x6541,x6546,x6543),x6542,x6544,x6545)+P24(f15(x6541,x6542)) % 1.39/1.40 [655]P11(x6551,x6552,x6553,x6554)+~P11(f19(x6555,x6551,x6556),x6552,x6553,x6554)+~P24(f15(x6555,x6552)) % 1.39/1.40 [669]~P11(x6691,x6693,x6694,x6696)+~P11(x6692,x6696,x6694,x6695)+P11(f26(x6691,x6692),x6693,x6694,x6695) % 1.39/1.40 [670]P11(x6701,x6702,x6703,x6704)+P11(x6705,x6702,x6703,x6704)+~P11(f19(x6706,x6701,x6705),x6702,x6703,x6704) % 1.39/1.40 [755]~P5(x7551,x7556,x7554,x7555)+P5(f27(x7551,x7552,x7553,x7554,x7555),x7556,x7554,x7555)+P24(f15(f15(f45(x7555),x7553),f34(x7551,x7556,x7554,x7555))) % 1.39/1.40 [763]~P24(f15(f15(x7634,x7632),x7636))+~P24(f15(f15(x7633,x7635),x7632))+P24(f15(f15(f45(x7631),x7632),f37(x7633,x7634,x7635,x7636,x7631))) % 1.39/1.40 [764]~P24(f15(f15(x7644,x7645),x7642))+~P24(f15(f15(x7643,x7642),x7646))+P24(f15(f15(f45(x7641),x7642),f41(x7643,x7644,x7645,x7646,x7641))) % 1.39/1.40 [685]P3(f15(x6851,x6852),x6853,f50(x6854,a1))+~P3(f24(x6856,x6851,x6855,f50(x6854,a1)),x6853,f50(x6854,a1))+~P24(f15(f15(f45(x6855),x6852),x6856)) % 1.39/1.40 [688]~P3(f34(x6882,x6886,x6885,x6881),x6884,f50(x6881,a1))+P24(f15(f15(f45(x6881),f15(x6882,x6883)),x6884))+~P24(f15(f15(f45(x6885),x6883),x6886)) % 1.39/1.40 [697]~P24(f15(f15(x6972,x6976),x6975))+~P24(f15(f15(f45(x6973),x6976),x6971))+P24(f15(f24(x6971,x6972,x6973,f50(x6974,a1)),x6975)) % 1.39/1.40 [705]~P24(f15(f15(f45(x7051),x7052),f15(x7054,x7056)))+~P24(f15(f15(f45(x7055),x7056),x7053))+P24(f15(f15(f45(x7051),x7052),f24(x7053,x7054,x7055,f50(x7051,a1)))) % 1.39/1.40 [798]~P6(x7984,x7985,x7983,x7986,x7981,x7987)+P6(x7984,x7985,f21(f15(f4(f43(x7981),x7981,x7981,a1),x7982),x7983,f50(x7981,a1)),f15(f15(x7984,x7982),x7986),x7981,x7987)+P24(f15(f15(f45(x7981),x7982),x7983)) % 1.39/1.40 [799]P6(x7991,x7992,x7993,f15(f15(x7991,x7994),x7995),x7996,x7997)+~P6(x7991,x7992,f15(f15(f23(f50(x7996,a1)),x7993),f21(f15(f4(f43(x7996),x7996,x7996,a1),x7994),f32(f50(x7996,a1)),f50(x7996,a1))),x7995,x7996,x7997)+~P24(f15(f15(f45(x7996),x7994),x7993)) % 1.39/1.40 [800]P12(x8001,x8002,x8003,f15(f15(x8001,x8004),x8005),x8006,x8007)+~P12(x8001,x8002,f15(f15(f23(f50(x8006,a1)),x8003),f21(f15(f4(f43(x8006),x8006,x8006,a1),x8004),f32(f50(x8006,a1)),f50(x8006,a1))),x8005,x8006,x8007)+~P24(f15(f15(f45(x8006),x8004),x8003)) % 1.39/1.40 [794]~P11(x7943,x7944,x7947,x7945)+~P11(x7941,x7942,x7948,x7946)+P11(x7941,x7942,f33(x7943,x7941,x7944,x7942,x7945,x7946),x7946) % 1.39/1.40 [795]~P11(x7953,x7954,x7957,x7956)+~P11(x7951,x7952,x7958,x7955)+P11(x7951,x7952,f33(x7951,x7953,x7952,x7954,x7955,x7956),x7955) % 1.39/1.40 [740]~P24(f15(f15(f15(x7402,x7408),x7406),x7407))+~P24(f15(f15(f45(x7403),x7408),x7401))+P24(f15(f15(f24(x7401,x7402,x7403,f50(x7404,f50(x7405,a1))),x7406),x7407)) % 1.39/1.40 [805]~P7(x8056,x8053,x8051,x8057,x8058,x8059,x80510,x80511,x8055)+P24(f15(f15(x8051,x8052),f15(x8053,x8054)))+~P24(f15(f15(f45(x8055),x8052),x8054)) % 1.39/1.40 [806]~P7(x8062,x8066,x8061,x8067,x8068,x8069,x80610,x80611,x8065)+P24(f15(f15(x8061,f15(x8062,x8063)),x8064))+~P24(f15(f15(f45(x8065),x8064),x8063)) % 1.39/1.40 [421]P8(x4211,x4212,x4213)+~P23(x4213)+E(x4211,x4212)+P8(x4212,x4211,x4213) % 1.39/1.40 [422]P8(x4221,x4222,x4223)+~P25(x4223)+E(x4221,x4222)+P8(x4222,x4221,x4223) % 1.39/1.40 [439]~P22(x4393)+~P3(x4391,x4392,x4393)+E(x4391,x4392)+P8(x4391,x4392,x4393) % 1.39/1.40 [441]~P23(x4413)+~P3(x4411,x4412,x4413)+E(x4411,x4412)+P8(x4411,x4412,x4413) % 1.39/1.40 [477]~P3(x4772,x4771,x4773)+~P3(x4771,x4772,x4773)+E(x4771,x4772)+~P22(x4773) % 1.39/1.40 [492]P8(x4922,x4921,x4923)+~P21(x4923)+~P3(x4922,x4921,x4923)+P3(x4921,x4922,x4923) % 1.39/1.40 [501]~P21(x5013)+~P3(x5011,x5014,x5013)+P3(x5011,x5012,x5013)+~P3(x5014,x5012,x5013) % 1.39/1.40 [502]~P22(x5023)+~P3(x5021,x5024,x5023)+P3(x5021,x5022,x5023)+~P3(x5024,x5022,x5023) % 1.39/1.40 [503]~P21(x5033)+~P8(x5031,x5034,x5033)+P8(x5031,x5032,x5033)+~P3(x5034,x5032,x5033) % 1.39/1.40 [504]~P21(x5043)+~P8(x5044,x5042,x5043)+P8(x5041,x5042,x5043)+~P3(x5041,x5044,x5043) % 1.39/1.40 [505]~P21(x5053)+~P8(x5051,x5054,x5053)+P8(x5051,x5052,x5053)+~P8(x5054,x5052,x5053) % 1.39/1.40 [506]~P22(x5063)+~P8(x5061,x5064,x5063)+P8(x5061,x5062,x5063)+~P3(x5064,x5062,x5063) % 1.39/1.40 [507]~P22(x5073)+~P8(x5074,x5072,x5073)+P8(x5071,x5072,x5073)+~P3(x5071,x5074,x5073) % 1.39/1.40 [508]~P22(x5083)+~P8(x5081,x5084,x5083)+P8(x5081,x5082,x5083)+~P8(x5084,x5082,x5083) % 1.39/1.40 [526]~P1(x5264)+P3(x5261,x5262,f50(x5263,x5264))+P8(x5262,x5261,f50(x5263,x5264))+~P3(x5262,x5261,f50(x5263,x5264)) % 1.39/1.40 [557]~P17(x5574)+~P3(x5571,x5573,x5574)+~P3(x5571,x5572,x5574)+P3(x5571,f22(x5572,x5573,x5574),x5574) % 1.39/1.40 [560]~P13(x5603)+~P3(x5602,x5604,x5603)+~P3(x5601,x5604,x5603)+P3(f21(x5601,x5602,x5603),x5604,x5603) % 1.39/1.40 [733]~P3(x7334,x7333,f50(x7331,a1))+P8(x7334,f21(f15(f4(f43(x7331),x7331,x7331,a1),x7332),x7333,f50(x7331,a1)),f50(x7331,a1))+P24(f15(f15(f45(x7331),x7332),x7333))+P24(f15(f15(f45(x7331),x7332),x7334)) % 1.39/1.40 [734]~P8(x7343,x7344,f50(x7341,a1))+~P3(x7343,x7344,f50(x7341,a1))+P8(x7343,f21(f15(f4(f43(x7341),x7341,x7341,a1),x7342),x7344,f50(x7341,a1)),f50(x7341,a1))+P24(f15(f15(f45(x7341),x7342),x7343)) % 1.39/1.40 [745]E(x7451,x7452)+~E(f21(f15(f4(f43(x7453),x7453,x7453,a1),x7454),x7451,f50(x7453,a1)),f21(f15(f4(f43(x7453),x7453,x7453,a1),x7454),x7452,f50(x7453,a1)))+P24(f15(f15(f45(x7453),x7454),x7452))+P24(f15(f15(f45(x7453),x7454),x7451)) % 1.39/1.40 [753]P3(x7531,x7532,f50(x7533,a1))+~P8(x7531,f21(f15(f4(f43(x7533),x7533,x7533,a1),x7534),x7532,f50(x7533,a1)),f50(x7533,a1))+P24(f15(f15(f45(x7533),x7534),x7532))+P24(f15(f15(f45(x7533),x7534),x7531)) % 1.39/1.40 [779]~P8(x7794,f21(f15(f4(f43(x7791),x7791,x7791,a1),x7792),x7793,f50(x7791,a1)),f50(x7791,a1))+P8(f15(f15(f23(f50(x7791,a1)),x7794),f21(f15(f4(f43(x7791),x7791,x7791,a1),x7792),f32(f50(x7791,a1)),f50(x7791,a1))),x7793,f50(x7791,a1))+~P24(f15(f15(f45(x7791),x7792),x7794))+P24(f15(f15(f45(x7791),x7792),x7793)) % 1.39/1.40 [785]~P3(x7854,x7853,f50(x7851,a1))+P8(x7854,f21(f15(f4(f43(x7851),x7851,x7851,a1),x7852),x7853,f50(x7851,a1)),f50(x7851,a1))+~P8(f15(f15(f23(f50(x7851,a1)),x7854),f21(f15(f4(f43(x7851),x7851,x7851,a1),x7852),f32(f50(x7851,a1)),f50(x7851,a1))),x7853,f50(x7851,a1))+P24(f15(f15(f45(x7851),x7852),x7853)) % 1.39/1.40 [786]~P8(x7861,x7864,f50(x7862,a1))+~P3(x7861,x7864,f50(x7862,a1))+P8(x7861,f21(f15(f4(f43(x7862),x7862,x7862,a1),x7863),x7864,f50(x7862,a1)),f50(x7862,a1))+~P8(f15(f15(f23(f50(x7862,a1)),x7861),f21(f15(f4(f43(x7862),x7862,x7862,a1),x7863),f32(f50(x7862,a1)),f50(x7862,a1))),x7864,f50(x7862,a1)) % 1.39/1.40 [787]P8(x7874,f21(f15(f4(f43(x7871),x7871,x7871,a1),x7872),x7873,f50(x7871,a1)),f50(x7871,a1))+~P8(f15(f15(f23(f50(x7871,a1)),x7874),f21(f15(f4(f43(x7871),x7871,x7871,a1),x7872),f32(f50(x7871,a1)),f50(x7871,a1))),x7873,f50(x7871,a1))+~P24(f15(f15(f45(x7871),x7872),x7874))+P24(f15(f15(f45(x7871),x7872),x7873)) % 1.39/1.40 [788]~P8(x7881,x7884,f50(x7882,a1))+P8(x7881,f21(f15(f4(f43(x7882),x7882,x7882,a1),x7883),x7884,f50(x7882,a1)),f50(x7882,a1))+~P8(f15(f15(f23(f50(x7882,a1)),x7881),f21(f15(f4(f43(x7882),x7882,x7882,a1),x7883),f32(f50(x7882,a1)),f50(x7882,a1))),x7884,f50(x7882,a1))+~P24(f15(f15(f45(x7882),x7883),x7881)) % 1.39/1.40 [597]P9(x5971,x5972,a2)+~P10(x5973,x5974,a2)+~P9(x5971,f64(x5973,x5971),a2)+~P24(f15(f15(f45(f48(a2)),x5972),x5974)) % 1.39/1.40 [608]P9(x6081,x6082,a2)+~P10(x6083,x6084,a2)+P24(f15(f15(f45(f48(a2)),f64(x6083,x6081)),x6083))+~P24(f15(f15(f45(f48(a2)),x6082),x6084)) % 1.39/1.40 [561]~P4(x5612,x5613,x5615)+~P4(f25(x5611,x5612),x5615,x5614)+P4(f25(x5611,x5612),x5613,x5614)+~P24(f15(x5611,x5613)) % 1.39/1.40 [758]~P5(x7581,x7583,x7584,x7585)+~P5(x7581,x7582,x7584,x7585)+P5(x7581,f21(x7582,x7583,f50(x7584,a1)),x7584,x7585)+~E(f22(f34(x7581,f15(f15(f23(f50(x7584,a1)),x7582),x7583),x7584,x7585),f34(x7581,f15(f15(f23(f50(x7584,a1)),x7583),x7582),x7584,x7585),f50(x7585,a1)),f32(f50(x7585,a1))) % 1.39/1.40 [529]~P20(x5293)+~P3(x5295,x5294,x5293)+P3(x5291,x5292,x5293)+~E(f15(f15(f23(x5293),x5294),x5295),f15(f15(f23(x5293),x5292),x5291)) % 1.39/1.40 [530]~P20(x5303)+~P3(x5305,x5304,x5303)+P3(x5301,x5302,x5303)+~E(f15(f15(f23(x5303),x5302),x5301),f15(f15(f23(x5303),x5304),x5305)) % 1.39/1.40 [531]~P20(x5313)+~P8(x5314,x5315,x5313)+P8(x5311,x5312,x5313)+~E(f15(f15(f23(x5313),x5314),x5315),f15(f15(f23(x5313),x5311),x5312)) % 1.39/1.40 [532]~P20(x5323)+~P8(x5324,x5325,x5323)+P8(x5321,x5322,x5323)+~E(f15(f15(f23(x5323),x5321),x5322),f15(f15(f23(x5323),x5324),x5325)) % 1.39/1.40 [668]P24(f15(x6681,x6682))+~P24(f15(x6681,f8(x6684,x6681,x6685)))+~P24(f15(x6683,f8(x6684,x6683,x6685)))+~P24(f15(f15(f45(x6685),x6682),x6684)) % 1.39/1.40 [687]P24(f15(x6871,x6872))+P24(f15(f15(f45(x6873),f8(x6874,x6871,x6873)),x6874))+P24(f15(f15(f45(x6873),f8(x6874,x6875,x6873)),x6874))+~P24(f15(f15(f45(x6873),x6872),x6874)) % 1.39/1.40 [741]P24(f15(x7411,x7412))+~P24(f15(x7413,f9(x7414,x7413,x7411,x7415)))+~P24(f15(x7411,f9(x7414,x7413,x7411,x7415)))+~P24(f15(f15(f45(x7415),x7412),x7414)) % 1.39/1.40 [742]P24(f15(x7421,x7422))+~P24(f15(x7423,f9(x7424,x7421,x7423,x7425)))+~P24(f15(x7421,f9(x7424,x7421,x7423,x7425)))+~P24(f15(f15(f45(x7425),x7422),x7424)) % 1.39/1.40 [676]~P11(x6762,x6763,x6764,x6766)+~P11(f25(x6761,x6762),x6766,x6764,x6765)+P11(f25(x6761,x6762),x6763,x6764,x6765)+~P24(f15(x6761,x6763)) % 1.39/1.40 [718]~P5(x7181,x7186,x7183,x7184)+~P3(x7182,x7186,f50(x7183,a1))+~P3(x7185,x7186,f50(x7183,a1))+E(f22(f34(x7181,x7182,x7183,x7184),f34(x7181,x7185,x7183,x7184),f50(x7184,a1)),f34(x7181,f22(x7182,x7185,f50(x7183,a1)),x7183,x7184)) % 1.39/1.40 [736]~P5(x7362,x7366,x7364,x7361)+~P3(x7363,x7366,f50(x7364,a1))+~P3(x7365,x7366,f50(x7364,a1))+E(f15(f15(f23(f50(x7361,a1)),f34(x7362,x7363,x7364,x7361)),f34(x7362,x7365,x7364,x7361)),f34(x7362,f15(f15(f23(f50(x7364,a1)),x7363),x7365),x7364,x7361)) % 1.39/1.40 [702]~P11(x7024,x7025,x7026,x7023)+~P9(x7026,f31(x7027,x7024,x7021,a2),a2)+P24(f15(f15(x7021,x7022),x7023))+~P24(f15(f15(x7027,x7022),x7025)) % 1.39/1.40 [765]~P24(f15(x7651,x7656))+~P24(f15(f15(f45(x7655),x7656),f15(x7653,x7657)))+P24(f15(x7651,f10(x7652,x7653,x7651,x7654,x7655)))+~P24(f15(f15(f45(x7654),x7657),x7652)) % 1.39/1.40 [793]~P24(f15(x7934,x7936))+~P24(f15(f15(f45(x7931),x7936),f15(x7933,x7937)))+~P24(f15(f15(f45(x7935),x7937),x7932))+P24(f15(f15(f45(x7931),f10(x7932,x7933,x7934,x7935,x7931)),f24(x7932,x7933,x7935,f50(x7931,a1)))) % 1.39/1.40 [645]E(x6451,x6452)+~P5(x6453,x6454,x6455,x6456)+~E(f15(x6453,x6451),f15(x6453,x6452))+~P24(f15(f15(f45(x6455),x6452),x6454))+~P24(f15(f15(f45(x6455),x6451),x6454)) % 1.39/1.40 %EqnAxiom % 1.39/1.40 [1]E(x11,x11) % 1.39/1.40 [2]E(x22,x21)+~E(x21,x22) % 1.39/1.40 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.39/1.40 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.39/1.40 [5]~E(x51,x52)+E(f15(x51,x53),f15(x52,x53)) % 1.39/1.40 [6]~E(x61,x62)+E(f15(x63,x61),f15(x63,x62)) % 1.39/1.40 [7]~E(x71,x72)+E(f4(x71,x73,x74,x75),f4(x72,x73,x74,x75)) % 1.39/1.40 [8]~E(x81,x82)+E(f4(x83,x81,x84,x85),f4(x83,x82,x84,x85)) % 1.39/1.40 [9]~E(x91,x92)+E(f4(x93,x94,x91,x95),f4(x93,x94,x92,x95)) % 1.39/1.40 [10]~E(x101,x102)+E(f4(x103,x104,x105,x101),f4(x103,x104,x105,x102)) % 1.39/1.40 [11]~E(x111,x112)+E(f21(x111,x113,x114),f21(x112,x113,x114)) % 1.39/1.40 [12]~E(x121,x122)+E(f21(x123,x121,x124),f21(x123,x122,x124)) % 1.39/1.40 [13]~E(x131,x132)+E(f21(x133,x134,x131),f21(x133,x134,x132)) % 1.39/1.40 [14]~E(x141,x142)+E(f20(x141),f20(x142)) % 1.39/1.40 [15]~E(x151,x152)+E(f50(x151,x153),f50(x152,x153)) % 1.39/1.40 [16]~E(x161,x162)+E(f50(x163,x161),f50(x163,x162)) % 1.39/1.40 [17]~E(x171,x172)+E(f28(x171,x173),f28(x172,x173)) % 1.39/1.40 [18]~E(x181,x182)+E(f28(x183,x181),f28(x183,x182)) % 1.39/1.40 [19]~E(x191,x192)+E(f43(x191),f43(x192)) % 1.39/1.40 [20]~E(x201,x202)+E(f34(x201,x203,x204,x205),f34(x202,x203,x204,x205)) % 1.39/1.40 [21]~E(x211,x212)+E(f34(x213,x211,x214,x215),f34(x213,x212,x214,x215)) % 1.39/1.40 [22]~E(x221,x222)+E(f34(x223,x224,x221,x225),f34(x223,x224,x222,x225)) % 1.39/1.40 [23]~E(x231,x232)+E(f34(x233,x234,x235,x231),f34(x233,x234,x235,x232)) % 1.39/1.40 [24]~E(x241,x242)+E(f45(x241),f45(x242)) % 1.39/1.40 [25]~E(x251,x252)+E(f23(x251),f23(x252)) % 1.39/1.40 [26]~E(x261,x262)+E(f25(x261,x263),f25(x262,x263)) % 1.39/1.40 [27]~E(x271,x272)+E(f25(x273,x271),f25(x273,x272)) % 1.39/1.40 [28]~E(x281,x282)+E(f32(x281),f32(x282)) % 1.39/1.40 [29]~E(x291,x292)+E(f22(x291,x293,x294),f22(x292,x293,x294)) % 1.39/1.40 [30]~E(x301,x302)+E(f22(x303,x301,x304),f22(x303,x302,x304)) % 1.39/1.40 [31]~E(x311,x312)+E(f22(x313,x314,x311),f22(x313,x314,x312)) % 1.39/1.40 [32]~E(x321,x322)+E(f19(x321,x323,x324),f19(x322,x323,x324)) % 1.39/1.40 [33]~E(x331,x332)+E(f19(x333,x331,x334),f19(x333,x332,x334)) % 1.39/1.40 [34]~E(x341,x342)+E(f19(x343,x344,x341),f19(x343,x344,x342)) % 1.39/1.40 [35]~E(x351,x352)+E(f8(x351,x353,x354),f8(x352,x353,x354)) % 1.39/1.40 [36]~E(x361,x362)+E(f8(x363,x361,x364),f8(x363,x362,x364)) % 1.39/1.40 [37]~E(x371,x372)+E(f8(x373,x374,x371),f8(x373,x374,x372)) % 1.39/1.40 [38]~E(x381,x382)+E(f42(x381,x383,x384,x385),f42(x382,x383,x384,x385)) % 1.39/1.40 [39]~E(x391,x392)+E(f42(x393,x391,x394,x395),f42(x393,x392,x394,x395)) % 1.39/1.40 [40]~E(x401,x402)+E(f42(x403,x404,x401,x405),f42(x403,x404,x402,x405)) % 1.39/1.40 [41]~E(x411,x412)+E(f42(x413,x414,x415,x411),f42(x413,x414,x415,x412)) % 1.39/1.40 [42]~E(x421,x422)+E(f17(x421,x423,x424),f17(x422,x423,x424)) % 1.39/1.40 [43]~E(x431,x432)+E(f17(x433,x431,x434),f17(x433,x432,x434)) % 1.39/1.40 [44]~E(x441,x442)+E(f17(x443,x444,x441),f17(x443,x444,x442)) % 1.39/1.40 [45]~E(x451,x452)+E(f27(x451,x453,x454,x455,x456),f27(x452,x453,x454,x455,x456)) % 1.39/1.40 [46]~E(x461,x462)+E(f27(x463,x461,x464,x465,x466),f27(x463,x462,x464,x465,x466)) % 1.39/1.40 [47]~E(x471,x472)+E(f27(x473,x474,x471,x475,x476),f27(x473,x474,x472,x475,x476)) % 1.39/1.40 [48]~E(x481,x482)+E(f27(x483,x484,x485,x481,x486),f27(x483,x484,x485,x482,x486)) % 1.39/1.40 [49]~E(x491,x492)+E(f27(x493,x494,x495,x496,x491),f27(x493,x494,x495,x496,x492)) % 1.39/1.40 [50]~E(x501,x502)+E(f12(x501,x503,x504),f12(x502,x503,x504)) % 1.39/1.40 [51]~E(x511,x512)+E(f12(x513,x511,x514),f12(x513,x512,x514)) % 1.39/1.40 [52]~E(x521,x522)+E(f12(x523,x524,x521),f12(x523,x524,x522)) % 1.39/1.40 [53]~E(x531,x532)+E(f24(x531,x533,x534,x535),f24(x532,x533,x534,x535)) % 1.39/1.40 [54]~E(x541,x542)+E(f24(x543,x541,x544,x545),f24(x543,x542,x544,x545)) % 1.39/1.40 [55]~E(x551,x552)+E(f24(x553,x554,x551,x555),f24(x553,x554,x552,x555)) % 1.39/1.40 [56]~E(x561,x562)+E(f24(x563,x564,x565,x561),f24(x563,x564,x565,x562)) % 1.39/1.40 [57]~E(x571,x572)+E(f14(x571,x573,x574,x575),f14(x572,x573,x574,x575)) % 1.39/1.40 [58]~E(x581,x582)+E(f14(x583,x581,x584,x585),f14(x583,x582,x584,x585)) % 1.39/1.40 [59]~E(x591,x592)+E(f14(x593,x594,x591,x595),f14(x593,x594,x592,x595)) % 1.39/1.40 [60]~E(x601,x602)+E(f14(x603,x604,x605,x601),f14(x603,x604,x605,x602)) % 1.39/1.40 [61]~E(x611,x612)+E(f6(x611,x613,x614),f6(x612,x613,x614)) % 1.39/1.40 [62]~E(x621,x622)+E(f6(x623,x621,x624),f6(x623,x622,x624)) % 1.39/1.40 [63]~E(x631,x632)+E(f6(x633,x634,x631),f6(x633,x634,x632)) % 1.39/1.40 [64]~E(x641,x642)+E(f26(x641,x643),f26(x642,x643)) % 1.39/1.40 [65]~E(x651,x652)+E(f26(x653,x651),f26(x653,x652)) % 1.39/1.40 [66]~E(x661,x662)+E(f9(x661,x663,x664,x665),f9(x662,x663,x664,x665)) % 1.39/1.40 [67]~E(x671,x672)+E(f9(x673,x671,x674,x675),f9(x673,x672,x674,x675)) % 1.39/1.40 [68]~E(x681,x682)+E(f9(x683,x684,x681,x685),f9(x683,x684,x682,x685)) % 1.39/1.40 [69]~E(x691,x692)+E(f9(x693,x694,x695,x691),f9(x693,x694,x695,x692)) % 1.39/1.40 [70]~E(x701,x702)+E(f5(x701,x703,x704,x705,x706),f5(x702,x703,x704,x705,x706)) % 1.39/1.40 [71]~E(x711,x712)+E(f5(x713,x711,x714,x715,x716),f5(x713,x712,x714,x715,x716)) % 1.39/1.40 [72]~E(x721,x722)+E(f5(x723,x724,x721,x725,x726),f5(x723,x724,x722,x725,x726)) % 1.39/1.40 [73]~E(x731,x732)+E(f5(x733,x734,x735,x731,x736),f5(x733,x734,x735,x732,x736)) % 1.39/1.40 [74]~E(x741,x742)+E(f5(x743,x744,x745,x746,x741),f5(x743,x744,x745,x746,x742)) % 1.39/1.40 [75]~E(x751,x752)+E(f7(x751,x753,x754),f7(x752,x753,x754)) % 1.39/1.40 [76]~E(x761,x762)+E(f7(x763,x761,x764),f7(x763,x762,x764)) % 1.39/1.40 [77]~E(x771,x772)+E(f7(x773,x774,x771),f7(x773,x774,x772)) % 1.39/1.40 [78]~E(x781,x782)+E(f29(x781,x783,x784,x785),f29(x782,x783,x784,x785)) % 1.39/1.40 [79]~E(x791,x792)+E(f29(x793,x791,x794,x795),f29(x793,x792,x794,x795)) % 1.39/1.40 [80]~E(x801,x802)+E(f29(x803,x804,x801,x805),f29(x803,x804,x802,x805)) % 1.39/1.40 [81]~E(x811,x812)+E(f29(x813,x814,x815,x811),f29(x813,x814,x815,x812)) % 1.39/1.40 [82]~E(x821,x822)+E(f30(x821,x823,x824,x825,x826),f30(x822,x823,x824,x825,x826)) % 1.39/1.40 [83]~E(x831,x832)+E(f30(x833,x831,x834,x835,x836),f30(x833,x832,x834,x835,x836)) % 1.39/1.40 [84]~E(x841,x842)+E(f30(x843,x844,x841,x845,x846),f30(x843,x844,x842,x845,x846)) % 1.39/1.40 [85]~E(x851,x852)+E(f30(x853,x854,x855,x851,x856),f30(x853,x854,x855,x852,x856)) % 1.39/1.40 [86]~E(x861,x862)+E(f30(x863,x864,x865,x866,x861),f30(x863,x864,x865,x866,x862)) % 1.39/1.40 [87]~E(x871,x872)+E(f39(x871,x873,x874),f39(x872,x873,x874)) % 1.39/1.40 [88]~E(x881,x882)+E(f39(x883,x881,x884),f39(x883,x882,x884)) % 1.39/1.40 [89]~E(x891,x892)+E(f39(x893,x894,x891),f39(x893,x894,x892)) % 1.39/1.40 [90]~E(x901,x902)+E(f18(x901,x903,x904,x905,x906),f18(x902,x903,x904,x905,x906)) % 1.39/1.40 [91]~E(x911,x912)+E(f18(x913,x911,x914,x915,x916),f18(x913,x912,x914,x915,x916)) % 1.39/1.40 [92]~E(x921,x922)+E(f18(x923,x924,x921,x925,x926),f18(x923,x924,x922,x925,x926)) % 1.39/1.40 [93]~E(x931,x932)+E(f18(x933,x934,x935,x931,x936),f18(x933,x934,x935,x932,x936)) % 1.39/1.40 [94]~E(x941,x942)+E(f18(x943,x944,x945,x946,x941),f18(x943,x944,x945,x946,x942)) % 1.39/1.40 [95]~E(x951,x952)+E(f41(x951,x953,x954,x955,x956),f41(x952,x953,x954,x955,x956)) % 1.39/1.40 [96]~E(x961,x962)+E(f41(x963,x961,x964,x965,x966),f41(x963,x962,x964,x965,x966)) % 1.39/1.40 [97]~E(x971,x972)+E(f41(x973,x974,x971,x975,x976),f41(x973,x974,x972,x975,x976)) % 1.39/1.40 [98]~E(x981,x982)+E(f41(x983,x984,x985,x981,x986),f41(x983,x984,x985,x982,x986)) % 1.39/1.40 [99]~E(x991,x992)+E(f41(x993,x994,x995,x996,x991),f41(x993,x994,x995,x996,x992)) % 1.39/1.40 [100]~E(x1001,x1002)+E(f48(x1001),f48(x1002)) % 1.39/1.40 [101]~E(x1011,x1012)+E(f11(x1011,x1013,x1014),f11(x1012,x1013,x1014)) % 1.39/1.40 [102]~E(x1021,x1022)+E(f11(x1023,x1021,x1024),f11(x1023,x1022,x1024)) % 1.39/1.40 [103]~E(x1031,x1032)+E(f11(x1033,x1034,x1031),f11(x1033,x1034,x1032)) % 1.39/1.40 [104]~E(x1041,x1042)+E(f10(x1041,x1043,x1044,x1045,x1046),f10(x1042,x1043,x1044,x1045,x1046)) % 1.39/1.40 [105]~E(x1051,x1052)+E(f10(x1053,x1051,x1054,x1055,x1056),f10(x1053,x1052,x1054,x1055,x1056)) % 1.39/1.40 [106]~E(x1061,x1062)+E(f10(x1063,x1064,x1061,x1065,x1066),f10(x1063,x1064,x1062,x1065,x1066)) % 1.39/1.40 [107]~E(x1071,x1072)+E(f10(x1073,x1074,x1075,x1071,x1076),f10(x1073,x1074,x1075,x1072,x1076)) % 1.39/1.40 [108]~E(x1081,x1082)+E(f10(x1083,x1084,x1085,x1086,x1081),f10(x1083,x1084,x1085,x1086,x1082)) % 1.39/1.40 [109]~E(x1091,x1092)+E(f31(x1091,x1093,x1094,x1095),f31(x1092,x1093,x1094,x1095)) % 1.39/1.40 [110]~E(x1101,x1102)+E(f31(x1103,x1101,x1104,x1105),f31(x1103,x1102,x1104,x1105)) % 1.39/1.40 [111]~E(x1111,x1112)+E(f31(x1113,x1114,x1111,x1115),f31(x1113,x1114,x1112,x1115)) % 1.39/1.40 [112]~E(x1121,x1122)+E(f31(x1123,x1124,x1125,x1121),f31(x1123,x1124,x1125,x1122)) % 1.39/1.40 [113]~E(x1131,x1132)+E(f35(x1131,x1133,x1134),f35(x1132,x1133,x1134)) % 1.39/1.40 [114]~E(x1141,x1142)+E(f35(x1143,x1141,x1144),f35(x1143,x1142,x1144)) % 1.39/1.40 [115]~E(x1151,x1152)+E(f35(x1153,x1154,x1151),f35(x1153,x1154,x1152)) % 1.39/1.40 [116]~E(x1161,x1162)+E(f37(x1161,x1163,x1164,x1165,x1166),f37(x1162,x1163,x1164,x1165,x1166)) % 1.39/1.40 [117]~E(x1171,x1172)+E(f37(x1173,x1171,x1174,x1175,x1176),f37(x1173,x1172,x1174,x1175,x1176)) % 1.39/1.40 [118]~E(x1181,x1182)+E(f37(x1183,x1184,x1181,x1185,x1186),f37(x1183,x1184,x1182,x1185,x1186)) % 1.39/1.40 [119]~E(x1191,x1192)+E(f37(x1193,x1194,x1195,x1191,x1196),f37(x1193,x1194,x1195,x1192,x1196)) % 1.39/1.40 [120]~E(x1201,x1202)+E(f37(x1203,x1204,x1205,x1206,x1201),f37(x1203,x1204,x1205,x1206,x1202)) % 1.39/1.40 [121]~E(x1211,x1212)+E(f64(x1211,x1213),f64(x1212,x1213)) % 1.39/1.40 [122]~E(x1221,x1222)+E(f64(x1223,x1221),f64(x1223,x1222)) % 1.39/1.40 [123]~E(x1231,x1232)+E(f66(x1231,x1233),f66(x1232,x1233)) % 1.39/1.40 [124]~E(x1241,x1242)+E(f66(x1243,x1241),f66(x1243,x1242)) % 1.39/1.40 [125]~E(x1251,x1252)+E(f33(x1251,x1253,x1254,x1255,x1256,x1257),f33(x1252,x1253,x1254,x1255,x1256,x1257)) % 1.39/1.40 [126]~E(x1261,x1262)+E(f33(x1263,x1261,x1264,x1265,x1266,x1267),f33(x1263,x1262,x1264,x1265,x1266,x1267)) % 1.39/1.40 [127]~E(x1271,x1272)+E(f33(x1273,x1274,x1271,x1275,x1276,x1277),f33(x1273,x1274,x1272,x1275,x1276,x1277)) % 1.39/1.40 [128]~E(x1281,x1282)+E(f33(x1283,x1284,x1285,x1281,x1286,x1287),f33(x1283,x1284,x1285,x1282,x1286,x1287)) % 1.39/1.40 [129]~E(x1291,x1292)+E(f33(x1293,x1294,x1295,x1296,x1291,x1297),f33(x1293,x1294,x1295,x1296,x1292,x1297)) % 1.39/1.40 [130]~E(x1301,x1302)+E(f33(x1303,x1304,x1305,x1306,x1307,x1301),f33(x1303,x1304,x1305,x1306,x1307,x1302)) % 1.39/1.40 [131]~E(x1311,x1312)+E(f13(x1311,x1313,x1314),f13(x1312,x1313,x1314)) % 1.39/1.40 [132]~E(x1321,x1322)+E(f13(x1323,x1321,x1324),f13(x1323,x1322,x1324)) % 1.39/1.40 [133]~E(x1331,x1332)+E(f13(x1333,x1334,x1331),f13(x1333,x1334,x1332)) % 1.39/1.40 [134]~E(x1341,x1342)+E(f40(x1341,x1343,x1344,x1345),f40(x1342,x1343,x1344,x1345)) % 1.39/1.40 [135]~E(x1351,x1352)+E(f40(x1353,x1351,x1354,x1355),f40(x1353,x1352,x1354,x1355)) % 1.39/1.40 [136]~E(x1361,x1362)+E(f40(x1363,x1364,x1361,x1365),f40(x1363,x1364,x1362,x1365)) % 1.39/1.40 [137]~E(x1371,x1372)+E(f40(x1373,x1374,x1375,x1371),f40(x1373,x1374,x1375,x1372)) % 1.39/1.40 [138]~E(x1381,x1382)+E(f63(x1381,x1383),f63(x1382,x1383)) % 1.39/1.40 [139]~E(x1391,x1392)+E(f63(x1393,x1391),f63(x1393,x1392)) % 1.39/1.40 [140]~E(x1401,x1402)+E(f38(x1401,x1403,x1404),f38(x1402,x1403,x1404)) % 1.39/1.40 [141]~E(x1411,x1412)+E(f38(x1413,x1411,x1414),f38(x1413,x1412,x1414)) % 1.39/1.40 [142]~E(x1421,x1422)+E(f38(x1423,x1424,x1421),f38(x1423,x1424,x1422)) % 1.39/1.40 [143]~E(x1431,x1432)+E(f44(x1431,x1433),f44(x1432,x1433)) % 1.39/1.40 [144]~E(x1441,x1442)+E(f44(x1443,x1441),f44(x1443,x1442)) % 1.39/1.40 [145]~E(x1451,x1452)+E(f65(x1451,x1453),f65(x1452,x1453)) % 1.39/1.40 [146]~E(x1461,x1462)+E(f65(x1463,x1461),f65(x1463,x1462)) % 1.39/1.40 [147]~E(x1471,x1472)+E(f36(x1471,x1473,x1474,x1475),f36(x1472,x1473,x1474,x1475)) % 1.39/1.40 [148]~E(x1481,x1482)+E(f36(x1483,x1481,x1484,x1485),f36(x1483,x1482,x1484,x1485)) % 1.39/1.40 [149]~E(x1491,x1492)+E(f36(x1493,x1494,x1491,x1495),f36(x1493,x1494,x1492,x1495)) % 1.39/1.40 [150]~E(x1501,x1502)+E(f36(x1503,x1504,x1505,x1501),f36(x1503,x1504,x1505,x1502)) % 1.39/1.40 [151]~P1(x1511)+P1(x1512)+~E(x1511,x1512) % 1.39/1.40 [152]P7(x1522,x1523,x1524,x1525,x1526,x1527,x1528,x1529,x15210)+~E(x1521,x1522)+~P7(x1521,x1523,x1524,x1525,x1526,x1527,x1528,x1529,x15210) % 1.39/1.40 [153]P7(x1533,x1532,x1534,x1535,x1536,x1537,x1538,x1539,x15310)+~E(x1531,x1532)+~P7(x1533,x1531,x1534,x1535,x1536,x1537,x1538,x1539,x15310) % 1.39/1.40 [154]P7(x1543,x1544,x1542,x1545,x1546,x1547,x1548,x1549,x15410)+~E(x1541,x1542)+~P7(x1543,x1544,x1541,x1545,x1546,x1547,x1548,x1549,x15410) % 1.39/1.40 [155]P7(x1553,x1554,x1555,x1552,x1556,x1557,x1558,x1559,x15510)+~E(x1551,x1552)+~P7(x1553,x1554,x1555,x1551,x1556,x1557,x1558,x1559,x15510) % 1.39/1.40 [156]P7(x1563,x1564,x1565,x1566,x1562,x1567,x1568,x1569,x15610)+~E(x1561,x1562)+~P7(x1563,x1564,x1565,x1566,x1561,x1567,x1568,x1569,x15610) % 1.39/1.40 [157]P7(x1573,x1574,x1575,x1576,x1577,x1572,x1578,x1579,x15710)+~E(x1571,x1572)+~P7(x1573,x1574,x1575,x1576,x1577,x1571,x1578,x1579,x15710) % 1.39/1.40 [158]P7(x1583,x1584,x1585,x1586,x1587,x1588,x1582,x1589,x15810)+~E(x1581,x1582)+~P7(x1583,x1584,x1585,x1586,x1587,x1588,x1581,x1589,x15810) % 1.39/1.40 [159]P7(x1593,x1594,x1595,x1596,x1597,x1598,x1599,x1592,x15910)+~E(x1591,x1592)+~P7(x1593,x1594,x1595,x1596,x1597,x1598,x1599,x1591,x15910) % 1.39/1.40 [160]P7(x1603,x1604,x1605,x1606,x1607,x1608,x1609,x16010,x1602)+~E(x1601,x1602)+~P7(x1603,x1604,x1605,x1606,x1607,x1608,x1609,x16010,x1601) % 1.39/1.40 [161]~P13(x1611)+P13(x1612)+~E(x1611,x1612) % 1.39/1.40 [162]P5(x1622,x1623,x1624,x1625)+~E(x1621,x1622)+~P5(x1621,x1623,x1624,x1625) % 1.39/1.40 [163]P5(x1633,x1632,x1634,x1635)+~E(x1631,x1632)+~P5(x1633,x1631,x1634,x1635) % 1.39/1.40 [164]P5(x1643,x1644,x1642,x1645)+~E(x1641,x1642)+~P5(x1643,x1644,x1641,x1645) % 1.39/1.40 [165]P5(x1653,x1654,x1655,x1652)+~E(x1651,x1652)+~P5(x1653,x1654,x1655,x1651) % 1.39/1.40 [166]~P14(x1661)+P14(x1662)+~E(x1661,x1662) % 1.39/1.40 [167]P8(x1672,x1673,x1674)+~E(x1671,x1672)+~P8(x1671,x1673,x1674) % 1.39/1.40 [168]P8(x1683,x1682,x1684)+~E(x1681,x1682)+~P8(x1683,x1681,x1684) % 1.39/1.40 [169]P8(x1693,x1694,x1692)+~E(x1691,x1692)+~P8(x1693,x1694,x1691) % 1.39/1.40 [170]~P16(x1701)+P16(x1702)+~E(x1701,x1702) % 1.39/1.40 [171]~P24(x1711)+P24(x1712)+~E(x1711,x1712) % 1.39/1.40 [172]~P15(x1721)+P15(x1722)+~E(x1721,x1722) % 1.39/1.40 [173]~P18(x1731)+P18(x1732)+~E(x1731,x1732) % 1.39/1.40 [174]P3(x1742,x1743,x1744)+~E(x1741,x1742)+~P3(x1741,x1743,x1744) % 1.39/1.40 [175]P3(x1753,x1752,x1754)+~E(x1751,x1752)+~P3(x1753,x1751,x1754) % 1.39/1.40 [176]P3(x1763,x1764,x1762)+~E(x1761,x1762)+~P3(x1763,x1764,x1761) % 1.39/1.40 [177]~P17(x1771)+P17(x1772)+~E(x1771,x1772) % 1.39/1.40 [178]P9(x1782,x1783,x1784)+~E(x1781,x1782)+~P9(x1781,x1783,x1784) % 1.39/1.40 [179]P9(x1793,x1792,x1794)+~E(x1791,x1792)+~P9(x1793,x1791,x1794) % 1.39/1.40 [180]P9(x1803,x1804,x1802)+~E(x1801,x1802)+~P9(x1803,x1804,x1801) % 1.39/1.40 [181]~P21(x1811)+P21(x1812)+~E(x1811,x1812) % 1.39/1.40 [182]P6(x1822,x1823,x1824,x1825,x1826,x1827)+~E(x1821,x1822)+~P6(x1821,x1823,x1824,x1825,x1826,x1827) % 1.39/1.40 [183]P6(x1833,x1832,x1834,x1835,x1836,x1837)+~E(x1831,x1832)+~P6(x1833,x1831,x1834,x1835,x1836,x1837) % 1.39/1.40 [184]P6(x1843,x1844,x1842,x1845,x1846,x1847)+~E(x1841,x1842)+~P6(x1843,x1844,x1841,x1845,x1846,x1847) % 1.39/1.40 [185]P6(x1853,x1854,x1855,x1852,x1856,x1857)+~E(x1851,x1852)+~P6(x1853,x1854,x1855,x1851,x1856,x1857) % 1.39/1.40 [186]P6(x1863,x1864,x1865,x1866,x1862,x1867)+~E(x1861,x1862)+~P6(x1863,x1864,x1865,x1866,x1861,x1867) % 1.39/1.40 [187]P6(x1873,x1874,x1875,x1876,x1877,x1872)+~E(x1871,x1872)+~P6(x1873,x1874,x1875,x1876,x1877,x1871) % 1.39/1.40 [188]~P22(x1881)+P22(x1882)+~E(x1881,x1882) % 1.39/1.40 [189]P10(x1892,x1893,x1894)+~E(x1891,x1892)+~P10(x1891,x1893,x1894) % 1.39/1.41 [190]P10(x1903,x1902,x1904)+~E(x1901,x1902)+~P10(x1903,x1901,x1904) % 1.39/1.41 [191]P10(x1913,x1914,x1912)+~E(x1911,x1912)+~P10(x1913,x1914,x1911) % 1.39/1.41 [192]~P23(x1921)+P23(x1922)+~E(x1921,x1922) % 1.39/1.41 [193]~P2(x1931)+P2(x1932)+~E(x1931,x1932) % 1.39/1.41 [194]~P19(x1941)+P19(x1942)+~E(x1941,x1942) % 1.39/1.41 [195]P4(x1952,x1953,x1954)+~E(x1951,x1952)+~P4(x1951,x1953,x1954) % 1.39/1.41 [196]P4(x1963,x1962,x1964)+~E(x1961,x1962)+~P4(x1963,x1961,x1964) % 1.39/1.41 [197]P4(x1973,x1974,x1972)+~E(x1971,x1972)+~P4(x1973,x1974,x1971) % 1.39/1.41 [198]P11(x1982,x1983,x1984,x1985)+~E(x1981,x1982)+~P11(x1981,x1983,x1984,x1985) % 1.39/1.41 [199]P11(x1993,x1992,x1994,x1995)+~E(x1991,x1992)+~P11(x1993,x1991,x1994,x1995) % 1.39/1.41 [200]P11(x2003,x2004,x2002,x2005)+~E(x2001,x2002)+~P11(x2003,x2004,x2001,x2005) % 1.39/1.41 [201]P11(x2013,x2014,x2015,x2012)+~E(x2011,x2012)+~P11(x2013,x2014,x2015,x2011) % 1.39/1.41 [202]P12(x2022,x2023,x2024,x2025,x2026,x2027)+~E(x2021,x2022)+~P12(x2021,x2023,x2024,x2025,x2026,x2027) % 1.39/1.41 [203]P12(x2033,x2032,x2034,x2035,x2036,x2037)+~E(x2031,x2032)+~P12(x2033,x2031,x2034,x2035,x2036,x2037) % 1.39/1.41 [204]P12(x2043,x2044,x2042,x2045,x2046,x2047)+~E(x2041,x2042)+~P12(x2043,x2044,x2041,x2045,x2046,x2047) % 1.39/1.41 [205]P12(x2053,x2054,x2055,x2052,x2056,x2057)+~E(x2051,x2052)+~P12(x2053,x2054,x2055,x2051,x2056,x2057) % 1.39/1.41 [206]P12(x2063,x2064,x2065,x2066,x2062,x2067)+~E(x2061,x2062)+~P12(x2063,x2064,x2065,x2066,x2061,x2067) % 1.39/1.41 [207]P12(x2073,x2074,x2075,x2076,x2077,x2072)+~E(x2071,x2072)+~P12(x2073,x2074,x2075,x2076,x2077,x2071) % 1.39/1.41 [208]~P20(x2081)+P20(x2082)+~E(x2081,x2082) % 1.39/1.41 [209]~P25(x2091)+P25(x2092)+~E(x2091,x2092) % 1.39/1.41 % 1.39/1.41 %------------------------------------------- % 1.39/1.41 cnf(843,plain, % 1.39/1.41 (E(f34(f3(x8431),x8432,x8431,x8431),x8432)), % 1.39/1.41 inference(rename_variables,[],[262])). % 1.39/1.41 cnf(850,plain, % 1.39/1.41 (~P24(f15(f15(f45(x8501),x8502),f32(f50(x8501,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(861,plain, % 1.39/1.41 (P24(f15(f15(f43(x8611),x8612),x8612))), % 1.39/1.41 inference(rename_variables,[],[240])). % 1.39/1.41 cnf(864,plain, % 1.39/1.41 (~P24(f15(f32(f50(x8641,a1)),x8642))), % 1.39/1.41 inference(rename_variables,[],[367])). % 1.39/1.41 cnf(875,plain, % 1.39/1.41 (~P24(f15(f15(f45(x8751),x8752),f32(f50(x8751,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(902,plain, % 1.39/1.41 (~P3(f20(x9021),x9021,a49)), % 1.39/1.41 inference(rename_variables,[],[359])). % 1.39/1.41 cnf(915,plain, % 1.39/1.41 (~E(f20(x9151),x9151)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(918,plain, % 1.39/1.41 (P3(f22(x9181,x9182,f50(x9183,a1)),x9182,f50(x9183,a1))), % 1.39/1.41 inference(rename_variables,[],[256])). % 1.39/1.41 cnf(924,plain, % 1.39/1.41 (P3(x9241,f21(x9242,x9241,f50(x9243,a1)),f50(x9243,a1))), % 1.39/1.41 inference(rename_variables,[],[254])). % 1.39/1.41 cnf(927,plain, % 1.39/1.41 (P3(x9271,f21(x9272,x9271,f50(x9273,a1)),f50(x9273,a1))), % 1.39/1.41 inference(rename_variables,[],[254])). % 1.39/1.41 cnf(930,plain, % 1.39/1.41 (~E(f20(x9301),x9301)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(933,plain, % 1.39/1.41 (P3(x9331,x9331,f50(x9332,a1))), % 1.39/1.41 inference(rename_variables,[],[237])). % 1.39/1.41 cnf(944,plain, % 1.39/1.41 (P24(f15(f15(f45(x9441),x9442),f21(f15(f4(f43(x9441),x9441,x9441,a1),x9442),x9443,f50(x9441,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(947,plain, % 1.39/1.41 (~E(f20(x9471),x9471)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(971,plain, % 1.39/1.41 (~P24(f15(f32(f50(x9711,a1)),x9712))), % 1.39/1.41 inference(rename_variables,[],[367])). % 1.39/1.41 cnf(974,plain, % 1.39/1.41 (~P24(f15(f32(f50(x9741,a1)),x9742))), % 1.39/1.41 inference(rename_variables,[],[367])). % 1.39/1.41 cnf(977,plain, % 1.39/1.41 (P4(a16,x9771,x9771)), % 1.39/1.41 inference(rename_variables,[],[233])). % 1.39/1.41 cnf(980,plain, % 1.39/1.41 (P4(a16,x9801,x9801)), % 1.39/1.41 inference(rename_variables,[],[233])). % 1.39/1.41 cnf(983,plain, % 1.39/1.41 (~P24(f15(f32(f50(x9831,a1)),x9832))), % 1.39/1.41 inference(rename_variables,[],[367])). % 1.39/1.41 cnf(986,plain, % 1.39/1.41 (P24(f15(f15(f43(x9861),x9862),x9862))), % 1.39/1.41 inference(rename_variables,[],[240])). % 1.39/1.41 cnf(989,plain, % 1.39/1.41 (P24(f15(f15(f45(x9891),x9892),f42(x9893,f21(f15(f4(f43(x9894),x9894,x9894,a1),f15(x9893,x9892)),f32(f50(x9894,a1)),f50(x9894,a1)),x9891,x9894)))), % 1.39/1.41 inference(rename_variables,[],[347])). % 1.39/1.41 cnf(992,plain, % 1.39/1.41 (~P24(f15(f32(f50(x9921,a1)),x9922))), % 1.39/1.41 inference(rename_variables,[],[367])). % 1.39/1.41 cnf(995,plain, % 1.39/1.41 (P24(f15(f15(f45(x9951),x9952),f21(f15(f4(f43(x9951),x9951,x9951,a1),x9952),x9953,f50(x9951,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1001,plain, % 1.39/1.41 (P11(a16,x10011,x10012,x10011)), % 1.39/1.41 inference(rename_variables,[],[260])). % 1.39/1.41 cnf(1012,plain, % 1.39/1.41 (P24(f15(f15(f45(x10121),x10122),f21(f15(f4(f43(x10121),x10121,x10121,a1),x10122),x10123,f50(x10121,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1015,plain, % 1.39/1.41 (~P24(f15(f15(f45(x10151),x10152),f32(f50(x10151,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(1018,plain, % 1.39/1.41 (~P24(f15(f15(f45(x10181),x10182),f32(f50(x10181,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(1021,plain, % 1.39/1.41 (P24(f15(f15(f45(x10211),x10212),f21(f15(f4(f43(x10211),x10211,x10211,a1),x10212),x10213,f50(x10211,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1022,plain, % 1.39/1.41 (~P24(f15(f15(f45(x10221),x10222),f32(f50(x10221,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(1025,plain, % 1.39/1.41 (E(f34(f3(x10251),x10252,x10251,x10251),x10252)), % 1.39/1.41 inference(rename_variables,[],[262])). % 1.39/1.41 cnf(1027,plain, % 1.39/1.41 (P11(a16,x10271,x10272,x10271)), % 1.39/1.41 inference(rename_variables,[],[260])). % 1.39/1.41 cnf(1031,plain, % 1.39/1.41 (~E(f20(x10311),x10311)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(1034,plain, % 1.39/1.41 (~E(f20(x10341),x10341)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(1046,plain, % 1.39/1.41 (~P8(x10461,f32(f50(x10462,a1)),f50(x10462,a1))), % 1.39/1.41 inference(rename_variables,[],[366])). % 1.39/1.41 cnf(1051,plain, % 1.39/1.41 (P3(f32(f50(x10511,a1)),x10512,f50(x10511,a1))), % 1.39/1.41 inference(rename_variables,[],[243])). % 1.39/1.41 cnf(1054,plain, % 1.39/1.41 (~P3(f20(x10541),x10541,a49)), % 1.39/1.41 inference(rename_variables,[],[359])). % 1.39/1.41 cnf(1057,plain, % 1.39/1.41 (~P3(f20(x10571),x10571,a49)), % 1.39/1.41 inference(rename_variables,[],[359])). % 1.39/1.41 cnf(1060,plain, % 1.39/1.41 (P3(x10601,x10601,a49)), % 1.39/1.41 inference(rename_variables,[],[232])). % 1.39/1.41 cnf(1063,plain, % 1.39/1.41 (P3(x10631,x10631,a49)), % 1.39/1.41 inference(rename_variables,[],[232])). % 1.39/1.41 cnf(1066,plain, % 1.39/1.41 (P3(x10661,x10661,a49)), % 1.39/1.41 inference(rename_variables,[],[232])). % 1.39/1.41 cnf(1069,plain, % 1.39/1.41 (P3(x10691,x10691,a49)), % 1.39/1.41 inference(rename_variables,[],[232])). % 1.39/1.41 cnf(1072,plain, % 1.39/1.41 (~E(f20(x10721),x10721)), % 1.39/1.41 inference(rename_variables,[],[350])). % 1.39/1.41 cnf(1079,plain, % 1.39/1.41 (P3(x10791,x10791,f50(x10792,a1))), % 1.39/1.41 inference(rename_variables,[],[237])). % 1.39/1.41 cnf(1082,plain, % 1.39/1.41 (P24(f15(f15(f45(x10821),x10822),f21(f15(f4(f43(x10821),x10821,x10821,a1),x10822),x10823,f50(x10821,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1083,plain, % 1.39/1.41 (~P8(x10831,x10831,f50(x10832,a1))), % 1.39/1.41 inference(rename_variables,[],[365])). % 1.39/1.41 cnf(1086,plain, % 1.39/1.41 (P24(f15(f15(f45(x10861),x10862),f21(f15(f4(f43(x10861),x10861,x10861,a1),x10862),x10863,f50(x10861,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1087,plain, % 1.39/1.41 (P3(x10871,x10871,f50(x10872,a1))), % 1.39/1.41 inference(rename_variables,[],[237])). % 1.39/1.41 cnf(1090,plain, % 1.39/1.41 (P24(f15(f15(f45(x10901),x10902),f21(f15(f4(f43(x10901),x10901,x10901,a1),x10902),x10903,f50(x10901,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1094,plain, % 1.39/1.41 (P24(f15(f15(f45(x10941),x10942),f21(f15(f4(f43(x10941),x10941,x10941,a1),x10942),x10943,f50(x10941,a1))))), % 1.39/1.41 inference(rename_variables,[],[335])). % 1.39/1.41 cnf(1095,plain, % 1.39/1.41 (P3(x10951,x10951,f50(x10952,a1))), % 1.39/1.41 inference(rename_variables,[],[237])). % 1.39/1.41 cnf(1098,plain, % 1.39/1.41 (E(f34(f3(x10981),x10982,x10981,x10981),x10982)), % 1.39/1.41 inference(rename_variables,[],[262])). % 1.39/1.41 cnf(1100,plain, % 1.39/1.41 (P5(f3(x11001),x11002,x11001,x11001)), % 1.39/1.41 inference(rename_variables,[],[261])). % 1.39/1.41 cnf(1107,plain, % 1.39/1.41 (P3(x11071,f21(x11072,x11071,f50(x11073,a1)),f50(x11073,a1))), % 1.39/1.41 inference(rename_variables,[],[254])). % 1.39/1.41 cnf(1110,plain, % 1.39/1.41 (P6(x11101,x11102,f32(f50(x11103,a1)),x11102,x11103,x11104)), % 1.39/1.41 inference(rename_variables,[],[341])). % 1.39/1.41 cnf(1114,plain, % 1.39/1.41 (P6(x11141,x11142,f32(f50(x11143,a1)),x11142,x11143,x11144)), % 1.39/1.41 inference(rename_variables,[],[341])). % 1.39/1.41 cnf(1118,plain, % 1.39/1.41 (P4(a16,x11181,x11181)), % 1.39/1.41 inference(rename_variables,[],[233])). % 1.39/1.41 cnf(1122,plain, % 1.39/1.41 (P12(x11221,x11222,f32(f50(x11223,a1)),x11222,x11223,x11224)), % 1.39/1.41 inference(rename_variables,[],[342])). % 1.39/1.41 cnf(1132,plain, % 1.39/1.41 (P12(x11321,x11322,f32(f50(x11323,a1)),x11322,x11323,x11324)), % 1.39/1.41 inference(rename_variables,[],[342])). % 1.39/1.41 cnf(1137,plain, % 1.39/1.41 (~P24(f15(f15(f45(x11371),x11372),f32(f50(x11371,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(1141,plain, % 1.39/1.41 (~P24(f15(f15(f45(x11411),x11412),f32(f50(x11411,a1))))), % 1.39/1.41 inference(rename_variables,[],[370])). % 1.39/1.41 cnf(1181,plain, % 1.39/1.41 ($false), % 1.39/1.41 inference(scs_inference,[],[235,258,259,360,240,861,986,260,1001,1027,232,1060,1063,1066,1069,233,977,980,1118,237,933,1079,1087,1095,350,915,930,947,1031,1034,1072,254,924,927,1107,256,918,308,243,1051,262,843,1025,1098,286,287,244,372,288,335,944,995,1012,1021,1082,1086,1090,1094,332,370,850,875,1015,1018,1022,1137,1141,367,864,971,974,983,992,347,989,261,1100,341,1110,1114,342,1122,1132,365,1083,359,902,1054,1057,366,1046,210,212,213,218,222,223,224,225,226,227,228,399,407,481,524,527,615,616,617,677,706,709,710,711,712,716,725,726,738,746,766,767,769,774,775,776,777,406,423,424,478,485,489,500,581,582,583,584,591,652,653,671,689,695,701,703,707,717,735,747,748,761,2,401,402,466,612,447,484,523,525,554,562,574,596,613,618,646,650,654,655,656,688,798,806,171,199,201,404,405,416,425,426,427,491,493,511,514,515,534,536,538,540,569,605,633,685,729,730,752,778,3,164,165,167,174,175,182,183,184,185,186,196,197,203,467,516,517,522,205,206,733,734,779,439,526,529,503,504,505,506,507,508,445,603,431,714,803,804,611]), % 1.39/1.41 ['proof']). % 1.39/1.41 % SZS output end Proof % 1.39/1.41 % Total time :0.530000s %------------------------------------------------------------------------------