%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV848-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n025.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 16:48:41 EDT 2024 % Result : Unsatisfiable 0.58s 0.80s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV848-1 : TPTP v8.2.0. Released v4.1.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Jun 20 17:47:24 EDT 2024 % 0.14/0.36 % CPUTime : % 0.57/0.61 start to proof:theBenchmark % 0.58/0.77 %------------------------------------------- % 0.58/0.77 % File :CSE---1.7 % 0.58/0.77 % Problem :theBenchmark % 0.58/0.77 % Transform :cnf % 0.58/0.77 % Format :tptp:raw % 0.58/0.77 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.77 % 0.58/0.77 % Result :Theorem 0.030000s % 0.58/0.77 % Output :CNFRefutation 0.030000s % 0.58/0.77 %------------------------------------------- % 0.58/0.78 %------------------------------------------------------------------------------ % 0.58/0.78 % File : SWV848-1 : TPTP v8.2.0. Released v4.1.0. % 0.58/0.78 % Domain : Software Verification % 0.58/0.78 % Problem : Hoare logic with procedures 258_1 % 0.58/0.78 % Version : Especial. % 0.58/0.78 % English : Completeness is taken relative to completeness of the underlying % 0.58/0.78 % logic. Two versions of completeness proof: nested single recursion % 0.58/0.78 % and simultaneous recursion in call rule. % 0.58/0.78 % 0.58/0.78 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.58/0.78 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.58/0.78 % Source : [Nip10] % 0.58/0.78 % Names : Hoare-258_1 [Nip10] % 0.58/0.78 % 0.58/0.78 % Status : Unsatisfiable % 0.58/0.78 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0 % 0.58/0.78 % Syntax : Number of clauses : 444 ( 179 unt; 31 nHn; 236 RR) % 0.58/0.78 % Number of literals : 833 ( 295 equ; 425 neg) % 0.58/0.78 % Maximal clause size : 5 ( 1 avg) % 0.58/0.78 % Maximal term depth : 6 ( 1 avg) % 0.58/0.78 % Number of predicates : 20 ( 19 usr; 0 prp; 1-9 aty) % 0.58/0.78 % Number of functors : 50 ( 50 usr; 11 con; 0-10 aty) % 0.58/0.78 % Number of variables : 1792 ( 625 sgn) % 0.58/0.78 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.58/0.78 % 0.58/0.78 % Comments : % 0.58/0.78 %------------------------------------------------------------------------------ % 0.58/0.78 cnf(cls_image__empty_0,axiom, % 0.58/0.78 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_evalc_OIfTrue_0,axiom, % 0.58/0.78 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1) % 0.58/0.78 | ~ c_Natural_Oevalc(V_c0,V_s,V_s1) % 0.58/0.78 | ~ hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_evalc__elim__cases_I5_J_1,axiom, % 0.58/0.78 ( ~ hBOOL(hAPP(V_b,V_s)) % 0.58/0.78 | c_Natural_Oevalc(V_c1,V_s,V_t) % 0.58/0.78 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_evalc_OSemi_0,axiom, % 0.58/0.78 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2) % 0.58/0.78 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2) % 0.58/0.78 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_WT_OAssign_0,axiom, % 0.58/0.78 c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Un__left__commute_0,axiom, % 0.58/0.78 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Un__assoc_0,axiom, % 0.58/0.78 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup__assoc_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.78 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup__left__commute_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.78 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.78 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_doubleton__eq__iff_4,axiom, % 0.58/0.78 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I65_J_0,axiom, % 0.58/0.78 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I48_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_COMBI__def_0,axiom, % 0.58/0.78 hAPP(c_COMBI(T_a),V_P) = V_P ). % 0.58/0.78 % 0.58/0.78 cnf(cls_COMBC__def_0,axiom, % 0.58/0.78 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_insert__commute_0,axiom, % 0.58/0.78 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I71_J_0,axiom, % 0.58/0.78 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I51_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup__idem_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.78 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Un__absorb_0,axiom, % 0.58/0.78 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.58/0.78 % 0.58/0.78 cnf(cls_id__o_0,axiom, % 0.58/0.78 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ). % 0.58/0.78 % 0.58/0.78 cnf(cls_o__id_0,axiom, % 0.58/0.78 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ). % 0.58/0.78 % 0.58/0.78 cnf(cls_inf__sup__distrib2_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.58/0.78 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_inf__sup__distrib1_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.58/0.78 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Int__Un__distrib_0,axiom, % 0.58/0.78 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Int__Un__distrib2_0,axiom, % 0.58/0.78 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup__fun__eq_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Olattice(T_b) % 0.58/0.78 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_singletonE_0,axiom, % 0.58/0.78 ( V_b = V_a % 0.58/0.78 | ~ 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))) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I49_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I56_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_le__SUPI_0,axiom, % 0.58/0.78 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 0.58/0.78 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 0.58/0.78 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I36_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I63_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OBODY(V_pname) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I24_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Orecs_I3_J_0,axiom, % 0.58/0.78 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_image__ident_0,axiom, % 0.58/0.78 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I7_J_2,axiom, % 0.58/0.78 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) % 0.58/0.78 | V_fun = V_fun_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I7_J_1,axiom, % 0.58/0.78 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) % 0.58/0.78 | V_pname = V_pname_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I7_J_0,axiom, % 0.58/0.78 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) % 0.58/0.78 | V_vname = V_vname_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Orecs_I4_J_0,axiom, % 0.58/0.78 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_bot__fun__eq_0,axiom, % 0.58/0.78 ( ~ class_Orderings_Obot(T_b) % 0.58/0.78 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I41_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_empty__is__image_0,axiom, % 0.58/0.78 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.58/0.78 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Un__insert__left_0,axiom, % 0.58/0.78 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Un__insert__right_0,axiom, % 0.58/0.78 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I30_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_bot__least_0,axiom, % 0.58/0.78 ( ~ class_Orderings_Obot(T_a) % 0.58/0.78 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I3_J_1,axiom, % 0.58/0.78 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.58/0.78 | V_com2 = V_com2_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I3_J_0,axiom, % 0.58/0.78 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) % 0.58/0.78 | V_com1 = V_com1_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I44_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_insert__not__empty_0,axiom, % 0.58/0.78 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I35_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_vimage__singleton__eq_1,axiom, % 0.58/0.78 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))) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_insert__inter__insert_0,axiom, % 0.58/0.78 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_insert__absorb2_0,axiom, % 0.58/0.78 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I23_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_insert__code_0,axiom, % 0.58/0.78 ( hBOOL(hAPP(V_A,V_x)) % 0.58/0.78 | V_y = V_x % 0.58/0.78 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 0.58/0.78 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.78 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.78 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I31_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I37_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_inf__bot__right_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.78 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_inf__bot__left_0,axiom, % 0.58/0.78 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.78 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Int__empty__left_0,axiom, % 0.58/0.78 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Int__empty__right_0,axiom, % 0.58/0.78 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I45_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_UN__absorb_0,axiom, % 0.58/0.78 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 0.58/0.78 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 0.58/0.78 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b) % 0.58/0.78 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 0.58/0.78 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b) % 0.58/0.78 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I4_J_2,axiom, % 0.58/0.78 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.58/0.78 | V_com2 = V_com2_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I4_J_1,axiom, % 0.58/0.78 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.58/0.78 | V_com1 = V_com1_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I4_J_0,axiom, % 0.58/0.78 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) % 0.58/0.78 | V_fun = V_fun_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I57_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_o__apply_0,axiom, % 0.58/0.78 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_o__eq__dest__lhs_0,axiom, % 0.58/0.78 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_Suc__inject_0,axiom, % 0.58/0.78 ( c_Suc(V_x) != c_Suc(V_y) % 0.58/0.78 | V_x = V_y ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_nat_Oinject_0,axiom, % 0.58/0.78 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.58/0.78 | V_nat = V_nat_H ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_com_Osimps_I22_J_0,axiom, % 0.58/0.78 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup1E_0,axiom, % 0.58/0.78 ( hBOOL(hAPP(V_B,V_x)) % 0.58/0.78 | hBOOL(hAPP(V_A,V_x)) % 0.58/0.78 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup1CI_0,axiom, % 0.58/0.78 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.58/0.78 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_sup1CI_1,axiom, % 0.58/0.78 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.58/0.78 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_WT_OIf_0,axiom, % 0.58/0.78 ( c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1)) % 0.58/0.78 | ~ c_Com_OWT(V_c1) % 0.58/0.78 | ~ c_Com_OWT(V_c0) ) ). % 0.58/0.78 % 0.58/0.78 cnf(cls_vimage__ident_0,axiom, % 0.58/0.79 c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I54_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I55_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__left__commute_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__assoc_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__assoc_0,axiom, % 0.58/0.79 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__left__commute_0,axiom, % 0.58/0.79 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 0.58/0.79 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 0.58/0.79 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__bot__right_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__bot__left_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__empty__left_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__empty__right_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I26_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_bot1E_0,axiom, % 0.58/0.79 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.58/0.79 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_distrib__sup__le_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__inf__absorb_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I25_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__antisym_0,axiom, % 0.58/0.79 ( V_m = V_n % 0.58/0.79 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.58/0.79 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com__det_0,axiom, % 0.58/0.79 ( V_u = V_t % 0.58/0.79 | ~ c_Natural_Oevalc(V_c,V_s,V_u) % 0.58/0.79 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_order__eq__iff_2,axiom, % 0.58/0.79 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.79 | V_x = V_y % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_order__antisym_0,axiom, % 0.58/0.79 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.79 | V_x = V_y % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_order__antisym__conv_0,axiom, % 0.58/0.79 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.79 | V_x = V_y % 0.58/0.79 | ~ c_lessequals(V_x,V_y,T_a) % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__absorb_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__absorb1_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__iff__inf_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 0.58/0.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__iff__inf_1,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 0.58/0.79 | c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__absorb2_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_WT_OCall_0,axiom, % 0.58/0.79 ( c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a)) % 0.58/0.79 | ~ c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_WTs__elim__cases_I8_J_0,axiom, % 0.58/0.79 ( c_Com_OWT(c_Com_Ocom_OBODY(V_P)) % 0.58/0.79 | ~ c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__supI_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_b,V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__ge1_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__ge2_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__least_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_z,V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__sup__iff_2,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.58/0.79 | ~ c_lessequals(V_y,V_z,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__commute_0,axiom, % 0.58/0.79 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__commute_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 0.58/0.79 ( 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) % 0.58/0.79 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_distrib__inf__le_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I32_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_singleton__inject_0,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.58/0.79 | V_a = V_b ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__Int__crazy_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I40_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I62_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I43_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_not__less__eq__eq_1,axiom, % 0.58/0.79 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.58/0.79 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_not__less__eq__eq_0,axiom, % 0.58/0.79 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.58/0.79 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__code_2,axiom, % 0.58/0.79 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__image_0,axiom, % 0.58/0.79 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__insert__right_1,axiom, % 0.58/0.79 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__insert__left_1,axiom, % 0.58/0.79 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__empty_1,axiom, % 0.58/0.79 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.79 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__empty_0,axiom, % 0.58/0.79 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.79 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.58/0.79 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.58/0.79 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_o__eq__id__dest_0,axiom, % 0.58/0.79 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a) % 0.58/0.79 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__infE_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_x,V_a,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__infE_1,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_x,V_b,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__infI1_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__infI2_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.58/0.79 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__inf__iff_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_x,V_y,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__inf__iff_1,axiom, % 0.58/0.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.79 | c_lessequals(V_x,V_z,T_a) % 0.58/0.79 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimage__id_0,axiom, % 0.58/0.79 c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I67_J_0,axiom, % 0.58/0.79 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I34_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimage__compose_0,axiom, % 0.58/0.79 c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__commute_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__commute_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_image__id_0,axiom, % 0.58/0.79 c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I6_J_0,axiom, % 0.58/0.79 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H) % 0.58/0.79 | V_pname = V_pname_H ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Orecs_I8_J_0,axiom, % 0.58/0.79 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__is__Un_0,axiom, % 0.58/0.79 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__Suc__eq_2,axiom, % 0.58/0.79 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Un__left__absorb_0,axiom, % 0.58/0.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_sup__left__idem_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_empty__is__image_1,axiom, % 0.58/0.79 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_WT_OLocal_0,axiom, % 0.58/0.79 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) % 0.58/0.79 | ~ c_Com_OWT(V_c) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_WTs__elim__cases_I3_J_0,axiom, % 0.58/0.79 ( c_Com_OWT(V_c) % 0.58/0.79 | ~ c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I70_J_0,axiom, % 0.58/0.79 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a) = hAPP(V_f7,V_pname) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimage__Un_0,axiom, % 0.58/0.79 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I50_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__SucE_0,axiom, % 0.58/0.79 ( V_m = c_Suc(V_n) % 0.58/0.79 | c_lessequals(V_m,V_n,tc_nat) % 0.58/0.79 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Orecs_I2_J_0,axiom, % 0.58/0.79 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Osimps_I27_J_0,axiom, % 0.58/0.79 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf1E_1,axiom, % 0.58/0.79 ( hBOOL(hAPP(V_B,V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_inf1E_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(V_A,V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_id__apply_0,axiom, % 0.58/0.79 hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 0.58/0.79 % 0.58/0.79 cnf(cls_com_Orecs_I5_J_0,axiom, % 0.58/0.79 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimage__Int_0,axiom, % 0.58/0.79 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_Int__iff_2,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_IntI_0,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_ord_OatLeastLessThan__iff_2,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__iff_2,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insertCI_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_ord_OatLeastAtMost__iff_2,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UnCI_1,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UnCI_0,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_ex__in__conv_0,axiom, % 0.58/0.79 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_ball__empty_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(V_P,V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_empty__iff_0,axiom, % 0.58/0.79 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_emptyE_0,axiom, % 0.58/0.79 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insertE_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 0.58/0.79 | V_a = V_b % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UnE_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 0.58/0.79 | ~ 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)))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_bexE_1,axiom, % 0.58/0.79 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__iff_1,axiom, % 0.58/0.79 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insertI1_0,axiom, % 0.58/0.79 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insertCI_1,axiom, % 0.58/0.79 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_IntE_1,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 0.58/0.79 | ~ 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)))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_IntE_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 0.58/0.79 | ~ 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)))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_bex__empty_0,axiom, % 0.58/0.79 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_pred__equals__eq_0,axiom, % 0.58/0.79 ( 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) % 0.58/0.79 | V_R = V_S ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_insert__ident_0,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 0.58/0.79 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 0.58/0.79 | V_A = V_B ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UN__iff_2,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UN__I_0,axiom, % 0.58/0.79 ( 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)))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimage__eq_1,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimageI2_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimageI_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_vimageE_0,axiom, % 0.58/0.79 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) % 0.58/0.79 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__iff__sup_1,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.58/0.79 | c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_le__iff__sup_0,axiom, % 0.58/0.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.58/0.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_doubleton__eq__iff_0,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.58/0.79 | V_a = V_d % 0.58/0.79 | V_a = V_c ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_doubleton__eq__iff_1,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.58/0.79 | V_b = V_c % 0.58/0.79 | V_a = V_c ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_doubleton__eq__iff_2,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.58/0.79 | V_a = V_d % 0.58/0.79 | V_b = V_d ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_doubleton__eq__iff_3,axiom, % 0.58/0.79 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.58/0.79 | V_b = V_c % 0.58/0.79 | V_b = V_d ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_evalc__elim__cases_I5_J_0,axiom, % 0.58/0.79 ( c_Natural_Oevalc(V_c2,V_s,V_t) % 0.58/0.79 | hBOOL(hAPP(V_b,V_s)) % 0.58/0.79 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_evalc_OIfFalse_0,axiom, % 0.58/0.79 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1) % 0.58/0.79 | ~ c_Natural_Oevalc(V_c1,V_s,V_s1) % 0.58/0.79 | hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.79 % 0.58/0.79 cnf(cls_UN__insert_0,axiom, % 0.58/0.79 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.79 % 0.58/0.80 cnf(cls_triple_Oinject_0,axiom, % 0.58/0.80 ( 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) % 0.58/0.80 | V_fun1 = V_fun1_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triple_Oinject_1,axiom, % 0.58/0.80 ( 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) % 0.58/0.80 | V_com = V_com_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triple_Oinject_2,axiom, % 0.58/0.80 ( 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) % 0.58/0.80 | V_fun2 = V_fun2_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WTs__elim__cases_I4_J_1,axiom, % 0.58/0.80 ( c_Com_OWT(V_c2) % 0.58/0.80 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WTs__elim__cases_I4_J_0,axiom, % 0.58/0.80 ( c_Com_OWT(V_c1) % 0.58/0.80 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bex__Un_4,axiom, % 0.58/0.80 ( 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)))) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_xa)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bex__Un_6,axiom, % 0.58/0.80 ( 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)))) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 0.58/0.80 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 0.58/0.80 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_empty__not__insert_0,axiom, % 0.58/0.80 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I66_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Int__insert__left_0,axiom, % 0.58/0.80 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Int__insert__right_0,axiom, % 0.58/0.80 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__insert_0,axiom, % 0.58/0.80 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_fcomp__apply_0,axiom, % 0.58/0.80 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimage__singleton__eq_0,axiom, % 0.58/0.80 ( hAPP(V_f,V_a) = V_b % 0.58/0.80 | ~ 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))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.80 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.80 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__greatest_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__inf__iff_2,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__infI_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_b,T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__le2_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__le1_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_o__assoc_0,axiom, % 0.58/0.80 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I1_J_1,axiom, % 0.58/0.80 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H) % 0.58/0.80 | V_fun = V_fun_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I1_J_0,axiom, % 0.58/0.80 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H) % 0.58/0.80 | V_vname = V_vname_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I33_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 0.58/0.80 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Suc__leD_0,axiom, % 0.58/0.80 ( c_lessequals(V_m,V_n,tc_nat) % 0.58/0.80 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__SucI_0,axiom, % 0.58/0.80 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.58/0.80 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_sup__inf__distrib2_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.58/0.80 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_sup__inf__distrib1_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.58/0.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Un__Int__distrib_0,axiom, % 0.58/0.80 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Un__Int__distrib2_0,axiom, % 0.58/0.80 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_insert__code_1,axiom, % 0.58/0.80 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.58/0.80 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olattice(T_a) % 0.58/0.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__left__idem_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Int__left__absorb_0,axiom, % 0.58/0.80 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I2_J_2,axiom, % 0.58/0.80 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.58/0.80 | V_com = V_com_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I2_J_1,axiom, % 0.58/0.80 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.58/0.80 | V_fun = V_fun_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I2_J_0,axiom, % 0.58/0.80 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) % 0.58/0.80 | V_loc = V_loc_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WT_OSemi_0,axiom, % 0.58/0.80 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1)) % 0.58/0.80 | ~ c_Com_OWT(V_c1) % 0.58/0.80 | ~ c_Com_OWT(V_c0) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_fcomp__id_0,axiom, % 0.58/0.80 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ). % 0.58/0.80 % 0.58/0.80 cnf(cls_id__fcomp_0,axiom, % 0.58/0.80 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__compose_0,axiom, % 0.58/0.80 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 0.58/0.80 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 0.58/0.80 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Suc__n__not__n_0,axiom, % 0.58/0.80 c_Suc(V_n) != V_n ). % 0.58/0.80 % 0.58/0.80 cnf(cls_n__not__Suc__n_0,axiom, % 0.58/0.80 V_n != c_Suc(V_n) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__idem_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.58/0.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Int__absorb_0,axiom, % 0.58/0.80 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__sup__iff_1,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_y,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__sup__iff_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__supI2_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__supI1_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__supE_1,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_b,V_x,T_a) % 0.58/0.80 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__supE_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.58/0.80 | c_lessequals(V_a,V_x,T_a) % 0.58/0.80 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__fun__eq_0,axiom, % 0.58/0.80 ( ~ class_Lattices_Olattice(T_b) % 0.58/0.80 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_xt1_I6_J_0,axiom, % 0.58/0.80 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.80 | c_lessequals(V_z,V_x,T_a) % 0.58/0.80 | ~ c_lessequals(V_z,V_y,T_a) % 0.58/0.80 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_order__trans_0,axiom, % 0.58/0.80 ( ~ class_Orderings_Opreorder(T_a) % 0.58/0.80 | c_lessequals(V_x,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(V_y,V_z,T_a) % 0.58/0.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__refl_0,axiom, % 0.58/0.80 c_lessequals(V_n,V_n,tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_le__trans_0,axiom, % 0.58/0.80 ( c_lessequals(V_i,V_k,tc_nat) % 0.58/0.80 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.58/0.80 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_eq__imp__le_0,axiom, % 0.58/0.80 c_lessequals(V_x,V_x,tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_order__eq__iff_0,axiom, % 0.58/0.80 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.80 | c_lessequals(V_x,V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_order__eq__refl_0,axiom, % 0.58/0.80 ( ~ class_Orderings_Opreorder(T_a) % 0.58/0.80 | c_lessequals(V_x,V_x,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__is__empty_0,axiom, % 0.58/0.80 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.58/0.80 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Orecs_I7_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a) = hAPP(V_f7,V_pname) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 0.58/0.80 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 0.58/0.80 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_singleton__iff_1,axiom, % 0.58/0.80 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))) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I68_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_o__eq__dest_0,axiom, % 0.58/0.80 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a) % 0.58/0.80 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_comp__cong_0,axiom, % 0.58/0.80 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H)) % 0.58/0.80 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimage__insert_0,axiom, % 0.58/0.80 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_UN__Un_0,axiom, % 0.58/0.80 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimage__code_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 0.58/0.80 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimage__code_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf1I_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(V_B,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Un__empty_2,axiom, % 0.58/0.80 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__Un_0,axiom, % 0.58/0.80 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimage__empty_0,axiom, % 0.58/0.80 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I42_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc__elim__cases_I5_J_2,axiom, % 0.58/0.80 ( c_Natural_Oevalc(V_c2,V_s,V_t) % 0.58/0.80 | c_Natural_Oevalc(V_c1,V_s,V_t) % 0.58/0.80 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Suc__le__mono_0,axiom, % 0.58/0.80 ( c_lessequals(V_n,V_m,tc_nat) % 0.58/0.80 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_Suc__le__mono_1,axiom, % 0.58/0.80 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.58/0.80 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WTs__elim__cases_I5_J_1,axiom, % 0.58/0.80 ( c_Com_OWT(V_c2) % 0.58/0.80 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WTs__elim__cases_I5_J_0,axiom, % 0.58/0.80 ( c_Com_OWT(V_c1) % 0.58/0.80 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_fcomp__assoc_0,axiom, % 0.58/0.80 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_nat__le__linear_0,axiom, % 0.58/0.80 ( c_lessequals(V_n,V_m,tc_nat) % 0.58/0.80 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_linorder__linear_0,axiom, % 0.58/0.80 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.80 | c_lessequals(V_y,V_x,T_a) % 0.58/0.80 | c_lessequals(V_x,V_y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_vimageD_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 0.58/0.80 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OatLeastAtMost__iff_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OatLeastAtMost__iff_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bex__Un_7,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bex__Un_5,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_xa)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bexE_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A)) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_insert__absorb_0,axiom, % 0.58/0.80 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OlessThan__iff_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OlessThan__iff_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_SUP2__iff_2,axiom, % 0.58/0.80 ( 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)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_SUP1__iff_2,axiom, % 0.58/0.80 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_SUP2__I_0,axiom, % 0.58/0.80 ( 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)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_SUP1__I_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OatLeastLessThan__iff_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ord_OatLeastLessThan__iff_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_rev__bexI_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A)) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_rev__bexI_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a))) % 0.58/0.80 | ~ hBOOL(hAPP(V_P,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_rev__image__eqI_0,axiom, % 0.58/0.80 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 0.58/0.80 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__iff_2,axiom, % 0.58/0.80 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 0.58/0.80 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_image__eqI_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_imageI_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_inf__Int__eq_0,axiom, % 0.58/0.80 hAPP(c_Lattices_Olower__semilattice__class_Oinf(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)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_sup__Un__eq_0,axiom, % 0.58/0.80 hAPP(c_Lattices_Oupper__semilattice__class_Osup(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)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_o__def_0,axiom, % 0.58/0.80 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_id__def_0,axiom, % 0.58/0.80 hAPP(c_Fun_Oid(t_a),v_x) = v_x ). % 0.58/0.80 % 0.58/0.80 cnf(cls_fcomp__def_0,axiom, % 0.58/0.80 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I12_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I9_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I19_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I21_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I20_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I13_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I8_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I11_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc_OSkip_0,axiom, % 0.58/0.80 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I10_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I64_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Orecs_I1_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WT_OSkip_0,axiom, % 0.58/0.80 c_Com_OWT(c_Com_Ocom_OSKIP) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I14_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I15_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I18_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc__elim__cases_I1_J_0,axiom, % 0.58/0.80 ( V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I58_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc__WHILE__case_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I47_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I69_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I29_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I60_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I38_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I28_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I52_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I46_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc_OWhileFalse_0,axiom, % 0.58/0.80 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s) % 0.58/0.80 | hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I39_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I59_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evalc_OWhileTrue_0,axiom, % 0.58/0.80 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2) % 0.58/0.80 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2) % 0.58/0.80 | ~ c_Natural_Oevalc(V_c,V_s0,V_s1) % 0.58/0.80 | ~ hBOOL(hAPP(V_b,V_s0)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I61_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_While_0,axiom, % 0.58/0.80 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) % 0.58/0.80 | ~ c_Com_OWT(V_c) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_WTs__elim__cases_I6_J_0,axiom, % 0.58/0.80 ( c_Com_OWT(V_c) % 0.58/0.80 | ~ c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I53_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Orecs_I6_J_0,axiom, % 0.58/0.80 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__elim__cases_I5_J_2,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t) % 0.58/0.80 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__nonstrict_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c,V_s,V_m,V_t) % 0.58/0.80 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OIfFalse_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c1,V_s,V_n,V_s1) % 0.58/0.80 | hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__elim__cases_I5_J_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t) % 0.58/0.80 | hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__Suc_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__max2_1,axiom, % 0.58/0.80 ( 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) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__max2_0,axiom, % 0.58/0.80 ( 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) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c2,V_s2,V_n2,V_t2) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n1,V_t1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OIfTrue_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c0,V_s,V_n,V_s1) % 0.58/0.80 | ~ hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__elim__cases_I5_J_1,axiom, % 0.58/0.80 ( ~ hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OSemi_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__evalc_0,axiom, % 0.58/0.80 ( c_Natural_Oevalc(V_c,V_s,V_t) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_eval__eq_1,axiom, % 0.58/0.80 ( c_Natural_Oevalc(V_c,V_s,V_t) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_COMBI__def__raw_0,axiom, % 0.58/0.80 hAPP(c_COMBI(t_a),v_P) = v_P ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triple__valid__Suc_0,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_hoare__valids__def_0,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts)) % 0.58/0.80 | 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)) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triples__valid__Suc_1,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts)) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_hoare__valids__def_2,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) % 0.58/0.80 | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_hoare__valids__def_1,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts)) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_bot__empty__eq_0,axiom, % 0.58/0.80 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__WHILE__case_4,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t) % 0.58/0.80 | ~ hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__WHILE__case_1,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t)) % 0.58/0.80 | V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__WHILE__case_2,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t),V_n,V_t) % 0.58/0.80 | V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__WHILE__case_3,axiom, % 0.58/0.80 ( c_Natural_Oevaln(V_c,V_s,V_n,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(V_b,V_c,V_n,V_s,V_t)) % 0.58/0.80 | ~ hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triple__valid__def2_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H)) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(V_P,V_Z),V_s)) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_triples__valid__Suc_0,axiom, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts)) % 0.58/0.80 | 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)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__WHILE__case_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_b,V_s)) % 0.58/0.80 | V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OSkip_0,axiom, % 0.58/0.80 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I16_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I17_J_0,axiom, % 0.58/0.80 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OWhileFalse_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s) % 0.58/0.80 | hBOOL(hAPP(V_b,V_s)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_mem__def_1,axiom, % 0.58/0.80 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 0.58/0.80 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_mem__def_0,axiom, % 0.58/0.80 ( hBOOL(hAPP(V_S,V_x)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln_OWhileTrue_0,axiom, % 0.58/0.80 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2) % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2) % 0.58/0.80 | ~ c_Natural_Oevaln(V_c,V_s0,V_n,V_s1) % 0.58/0.80 | ~ hBOOL(hAPP(V_b,V_s0)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I5_J_0,axiom, % 0.58/0.80 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.58/0.80 | V_fun = V_fun_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_com_Osimps_I5_J_1,axiom, % 0.58/0.80 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) % 0.58/0.80 | V_com = V_com_H ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_evaln__elim__cases_I1_J_0,axiom, % 0.58/0.80 ( V_t = V_s % 0.58/0.80 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_0,negated_conjecture, % 0.58/0.80 c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_1,negated_conjecture, % 0.58/0.80 hBOOL(hAPP(hAPP(v_P,v_x),v_sa)) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_2,negated_conjecture, % 0.58/0.80 ( c_Hoare__Mirabelle_Otriple__valid(v_na,V_xa,t_a) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),v_G)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_3,negated_conjecture, % 0.58/0.80 ( hBOOL(hAPP(v_b,v_sa)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(v_P,v_x),v_sa)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_4,negated_conjecture, % 0.58/0.80 ( hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H)) % 0.58/0.80 | ~ c_Natural_Oevaln(v_c,V_s,V_n,V_s_H) % 0.58/0.80 | ~ hBOOL(hAPP(v_b,V_s)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) % 0.58/0.80 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_nb(V_n)),v_G)) ) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_conjecture_5,negated_conjecture, % 0.58/0.80 ( hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha)) % 0.58/0.80 | ~ c_Natural_Oevaln(v_c,V_sa,V_n,V_s_Ha) % 0.58/0.80 | ~ hBOOL(hAPP(v_b,V_sa)) % 0.58/0.80 | ~ hBOOL(hAPP(hAPP(v_P,V_Za),V_sa)) % 0.58/0.80 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,v_nb(V_n),t_a) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 0.58/0.80 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.58/0.80 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Lattices_Olattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.58/0.80 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Lattices_Olattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 0.58/0.80 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.58/0.80 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.58/0.80 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.58/0.80 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Lattices_Olattice(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.58/0.80 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Orderings_Oorder(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.58/0.80 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.58/0.80 | ~ class_Orderings_Obot(T_1) ) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 0.58/0.80 class_Lattices_Oupper__semilattice(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 0.58/0.80 class_Lattices_Olower__semilattice(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 0.58/0.80 class_Lattices_Odistrib__lattice(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.58/0.80 class_Orderings_Opreorder(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.58/0.80 class_Orderings_Olinorder(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.58/0.80 class_Lattices_Olattice(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.58/0.80 class_Orderings_Oorder(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.58/0.80 class_Orderings_Obot(tc_nat) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 0.58/0.80 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.58/0.80 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.58/0.80 class_Lattices_Olower__semilattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 0.58/0.80 class_Lattices_Odistrib__lattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.58/0.80 class_Lattices_Obounded__lattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.58/0.80 class_Orderings_Opreorder(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.58/0.80 class_Lattices_Olattice(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.58/0.80 class_Orderings_Oorder(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.58/0.80 class_Orderings_Obot(tc_bool) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.58/0.80 c_fequal(V_x,V_x,T_a) ). % 0.58/0.80 % 0.58/0.80 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.58/0.80 ( V_X = V_Y % 0.58/0.80 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.58/0.80 % 0.58/0.80 %------------------------------------------------------------------------------ % 0.58/0.80 %------------------------------------------- % 0.58/0.80 % Proof found % 0.58/0.80 % SZS status Theorem for theBenchmark % 0.58/0.80 % SZS output start Proof % 0.58/0.80 %ClaNum:612(EqnAxiom:168) % 0.58/0.80 %VarNum:3093(SingletonVarNum:1590) % 0.58/0.80 %MaxLitNum:5 % 0.58/0.80 %MaxfuncDepth:5 % 0.58/0.80 %SharedTerms:53 % 0.58/0.80 %goalClause: 187 198 396 452 533 543 % 0.58/0.80 %singleGoalClaCount:2 % 0.58/0.80 [169]P1(a1) % 0.58/0.80 [170]P2(a12) % 0.58/0.80 [171]P2(a38) % 0.58/0.80 [172]P3(a12) % 0.58/0.80 [173]P3(a38) % 0.58/0.80 [174]P4(a12) % 0.58/0.80 [175]P4(a38) % 0.58/0.80 [176]P5(a12) % 0.58/0.80 [177]P15(a12) % 0.58/0.80 [178]P15(a38) % 0.58/0.80 [179]P13(a12) % 0.58/0.80 [180]P14(a12) % 0.58/0.80 [181]P14(a38) % 0.58/0.80 [182]P16(a12) % 0.58/0.80 [183]P16(a38) % 0.58/0.80 [184]P18(a12) % 0.58/0.80 [185]P18(a38) % 0.58/0.80 [186]P17(a38) % 0.58/0.80 [187]E(f13(a40,a43),a1) % 0.58/0.80 [198]P19(f16(f16(a41,a44),a45)) % 0.58/0.80 [203]E(f16(f16(f36(a15),a44),f27(f39(a15,a12))),f16(f27(f39(a15,a12)),a44)) % 0.58/0.80 [194]P6(x1941,x1941,a38) % 0.58/0.80 [195]P7(a1,x1951,x1951) % 0.58/0.80 [284]~E(f8(x2841),a1) % 0.58/0.80 [286]~E(f23(x2861),x2861) % 0.58/0.80 [317]~P6(f23(x3171),x3171,a38) % 0.58/0.80 [196]P11(x1961,x1961,x1962) % 0.58/0.80 [211]P12(a1,x2111,x2112,x2111) % 0.58/0.80 [192]P1(f7(x1921,x1922)) % 0.58/0.80 [290]~E(f14(x2901,x2902),a1) % 0.58/0.80 [291]~E(f7(x2911,x2912),a1) % 0.58/0.80 [292]~E(f13(x2921,x2922),a1) % 0.58/0.80 [190]E(f16(f2(x1901),x1902),x1902) % 0.58/0.80 [191]E(f16(f17(x1911),x1912),x1912) % 0.58/0.80 [199]E(f24(x1991,x1991,f39(x1992,a12)),x1991) % 0.58/0.80 [200]E(f25(x2001,x2001,f39(x2002,a12)),x2001) % 0.58/0.80 [201]E(f24(x2011,f27(f39(x2012,a12)),f39(x2012,a12)),x2011) % 0.58/0.80 [202]E(f24(f27(f39(x2021,a12)),x2022,f39(x2021,a12)),x2022) % 0.58/0.80 [206]E(f25(x2061,f27(f39(x2062,a12)),f39(x2062,a12)),f27(f39(x2062,a12))) % 0.58/0.80 [207]E(f25(f27(f39(x2071,a12)),x2072,f39(x2071,a12)),f27(f39(x2071,a12))) % 0.58/0.80 [212]E(f31(f2(x2121),x2122,x2121,x2121),x2122) % 0.58/0.80 [213]E(f31(f17(x2131),x2132,x2131,x2131),x2132) % 0.58/0.80 [214]E(f35(f2(x2141),x2142,x2141,x2141),x2142) % 0.58/0.80 [215]E(f35(f17(x2151),x2152,x2151,x2151),x2152) % 0.58/0.80 [263]E(f16(f24(f16(f3(f36(a15),a15,f39(a15,a12),a12),x2631),f16(f3(f36(a15),a15,f39(a15,a12),a12),x2632),f39(a15,a12)),a44),f16(f16(f36(a15),a44),f24(x2631,x2632,f39(a15,a12)))) % 0.58/0.80 [264]E(f16(f25(f16(f3(f36(a15),a15,f39(a15,a12),a12),x2641),f16(f3(f36(a15),a15,f39(a15,a12),a12),x2642),f39(a15,a12)),a44),f16(f16(f36(a15),a44),f25(x2641,x2642,f39(a15,a12)))) % 0.58/0.80 [344]~P19(f16(f27(f39(x3441,a12)),x3442)) % 0.58/0.80 [347]~P19(f16(f16(f36(x3471),x3472),f27(f39(x3471,a12)))) % 0.58/0.80 [293]~E(f8(x2931),f14(x2932,x2933)) % 0.58/0.80 [294]~E(f8(x2941),f7(x2942,x2943)) % 0.58/0.80 [295]~E(f8(x2951),f13(x2952,x2953)) % 0.58/0.80 [296]~E(f14(x2961,x2962),f8(x2963)) % 0.58/0.80 [297]~E(f7(x2971,x2972),f8(x2973)) % 0.58/0.80 [298]~E(f13(x2981,x2982),f8(x2983)) % 0.58/0.80 [308]~E(f9(x3081,x3082,x3083),a1) % 0.58/0.80 [309]~E(f10(x3091,x3092,x3093),a1) % 0.58/0.80 [310]~E(f11(x3101,x3102,x3103),a1) % 0.58/0.80 [204]E(f24(x2041,x2042,f39(x2043,a12)),f24(x2042,x2041,f39(x2043,a12))) % 0.58/0.80 [205]E(f25(x2051,x2052,f39(x2053,a12)),f25(x2052,x2051,f39(x2053,a12))) % 0.58/0.80 [209]E(f30(x2091,f30(x2091,x2092,x2093),x2093),f30(x2091,x2092,x2093)) % 0.58/0.80 [210]P19(f16(f30(x2101,x2102,x2103),x2101)) % 0.58/0.80 [216]E(f24(x2161,f24(x2161,x2162,f39(x2163,a12)),f39(x2163,a12)),f24(x2161,x2162,f39(x2163,a12))) % 0.58/0.80 [217]E(f25(x2171,f25(x2171,x2172,f39(x2173,a12)),f39(x2173,a12)),f25(x2171,x2172,f39(x2173,a12))) % 0.58/0.80 [220]P19(f16(f16(f36(x2201),x2202),f30(x2202,x2203,x2201))) % 0.58/0.80 [225]E(f24(f30(x2251,f27(f39(x2252,a12)),x2252),x2253,f39(x2252,a12)),f30(x2251,x2253,x2252)) % 0.58/0.80 [245]E(f21(x2451,f17(x2452),x2452,x2453,x2452),x2451) % 0.58/0.80 [246]E(f22(x2461,f17(x2462),x2463,x2462,x2462),x2461) % 0.58/0.80 [247]E(f21(f17(x2471),x2472,x2471,x2471,x2473),x2472) % 0.58/0.80 [248]E(f22(f17(x2481),x2482,x2481,x2481,x2483),x2482) % 0.58/0.80 [336]~E(f30(x3361,x3362,x3363),f27(f39(x3363,a12))) % 0.58/0.80 [337]~E(f27(f39(x3371,a12)),f30(x3372,x3373,x3371)) % 0.58/0.80 [223]E(f31(x2231,f27(f39(x2232,a12)),x2232,x2233),f27(f39(x2233,a12))) % 0.58/0.80 [224]E(f35(x2241,f27(f39(x2242,a12)),x2243,x2242),f27(f39(x2243,a12))) % 0.58/0.80 [300]~E(f7(x3001,x3002),f14(x3003,x3004)) % 0.58/0.80 [303]~E(f13(x3031,x3032),f14(x3033,x3034)) % 0.58/0.80 [304]~E(f13(x3041,x3042),f7(x3043,x3044)) % 0.58/0.80 [311]~E(f8(x3111),f9(x3112,x3113,x3114)) % 0.58/0.80 [312]~E(f8(x3121),f10(x3122,x3123,x3124)) % 0.58/0.80 [313]~E(f8(x3131),f11(x3132,x3133,x3134)) % 0.58/0.80 [314]~E(f9(x3141,x3142,x3143),f8(x3144)) % 0.58/0.80 [315]~E(f10(x3151,x3152,x3153),f8(x3154)) % 0.58/0.80 [316]~E(f11(x3161,x3162,x3163),f8(x3164)) % 0.58/0.80 [221]E(f30(x2211,f30(x2212,x2213,x2214),x2214),f30(x2212,f30(x2211,x2213,x2214),x2214)) % 0.58/0.80 [228]E(f24(x2281,f24(x2282,x2283,f39(x2284,a12)),f39(x2284,a12)),f24(x2282,f24(x2281,x2283,f39(x2284,a12)),f39(x2284,a12))) % 0.58/0.80 [229]E(f25(x2291,f25(x2292,x2293,f39(x2294,a12)),f39(x2294,a12)),f25(x2292,f25(x2291,x2293,f39(x2294,a12)),f39(x2294,a12))) % 0.58/0.80 [230]E(f24(f24(x2301,x2302,f39(x2303,a12)),x2304,f39(x2303,a12)),f24(x2301,f24(x2302,x2304,f39(x2303,a12)),f39(x2303,a12))) % 0.58/0.80 [231]E(f25(f25(x2311,x2312,f39(x2313,a12)),x2314,f39(x2313,a12)),f25(x2311,f25(x2312,x2314,f39(x2313,a12)),f39(x2313,a12))) % 0.58/0.80 [235]E(f25(f24(x2351,x2352,f39(x2353,a12)),f24(x2351,x2354,f39(x2353,a12)),f39(x2353,a12)),f24(x2351,f25(x2352,x2354,f39(x2353,a12)),f39(x2353,a12))) % 0.58/0.80 [236]E(f24(f25(x2361,x2362,f39(x2363,a12)),f25(x2361,x2364,f39(x2363,a12)),f39(x2363,a12)),f25(x2361,f24(x2362,x2364,f39(x2363,a12)),f39(x2363,a12))) % 0.58/0.80 [237]E(f25(f24(x2371,x2372,f39(x2373,a12)),f24(x2374,x2372,f39(x2373,a12)),f39(x2373,a12)),f24(f25(x2371,x2374,f39(x2373,a12)),x2372,f39(x2373,a12))) % 0.58/0.80 [238]E(f24(f25(x2381,x2382,f39(x2383,a12)),f25(x2384,x2382,f39(x2383,a12)),f39(x2383,a12)),f25(f24(x2381,x2384,f39(x2383,a12)),x2382,f39(x2383,a12))) % 0.58/0.80 [239]E(f24(x2391,f18(f27(f39(x2392,a12)),x2393,x2392,f39(x2394,a12)),f39(x2394,a12)),x2391) % 0.58/0.80 [240]E(f24(f18(f27(f39(x2401,a12)),x2402,x2401,f39(x2403,a12)),x2404,f39(x2403,a12)),x2404) % 0.58/0.80 [254]E(f25(f25(f24(x2541,x2542,f39(x2543,a12)),f24(x2542,x2544,f39(x2543,a12)),f39(x2543,a12)),f24(x2544,x2541,f39(x2543,a12)),f39(x2543,a12)),f24(f24(f25(x2541,x2542,f39(x2543,a12)),f25(x2542,x2544,f39(x2543,a12)),f39(x2543,a12)),f25(x2544,x2541,f39(x2543,a12)),f39(x2543,a12))) % 0.58/0.80 [226]E(f30(x2261,f24(x2262,x2263,f39(x2264,a12)),x2264),f24(x2262,f30(x2261,x2263,x2264),f39(x2264,a12))) % 0.58/0.80 [227]E(f30(x2271,f24(x2272,x2273,f39(x2274,a12)),x2274),f24(f30(x2271,x2272,x2274),x2273,f39(x2274,a12))) % 0.58/0.80 [232]E(f25(f30(x2321,x2322,x2323),f30(x2321,x2324,x2323),f39(x2323,a12)),f30(x2321,f25(x2322,x2324,f39(x2323,a12)),x2323)) % 0.58/0.80 [241]E(f30(x2411,f18(f27(f39(x2412,a12)),x2413,x2412,f39(x2414,a12)),x2414),f30(x2411,f27(f39(x2414,a12)),x2414)) % 0.58/0.80 [255]P19(f16(f16(f36(x2551),x2552),f35(x2553,f30(f16(x2553,x2552),f27(f39(x2554,a12)),x2554),x2551,x2554))) % 0.58/0.80 [318]~E(f14(x3181,x3182),f9(x3183,x3184,x3185)) % 0.58/0.80 [319]~E(f14(x3191,x3192),f10(x3193,x3194,x3195)) % 0.58/0.80 [320]~E(f14(x3201,x3202),f11(x3203,x3204,x3205)) % 0.58/0.80 [321]~E(f7(x3211,x3212),f9(x3213,x3214,x3215)) % 0.58/0.80 [322]~E(f7(x3221,x3222),f10(x3223,x3224,x3225)) % 0.58/0.80 [323]~E(f7(x3231,x3232),f11(x3233,x3234,x3235)) % 0.58/0.80 [324]~E(f13(x3241,x3242),f9(x3243,x3244,x3245)) % 0.58/0.80 [325]~E(f13(x3251,x3252),f10(x3253,x3254,x3255)) % 0.58/0.80 [326]~E(f13(x3261,x3262),f11(x3263,x3264,x3265)) % 0.58/0.80 [327]~E(f9(x3271,x3272,x3273),f14(x3274,x3275)) % 0.58/0.80 [328]~E(f9(x3281,x3282,x3283),f7(x3284,x3285)) % 0.58/0.80 [329]~E(f9(x3291,x3292,x3293),f13(x3294,x3295)) % 0.58/0.81 [330]~E(f10(x3301,x3302,x3303),f14(x3304,x3305)) % 0.58/0.81 [331]~E(f10(x3311,x3312,x3313),f7(x3314,x3315)) % 0.58/0.81 [332]~E(f10(x3321,x3322,x3323),f13(x3324,x3325)) % 0.58/0.81 [333]~E(f11(x3331,x3332,x3333),f14(x3334,x3335)) % 0.58/0.81 [334]~E(f11(x3341,x3342,x3343),f7(x3344,x3345)) % 0.58/0.81 [335]~E(f11(x3351,x3352,x3353),f13(x3354,x3355)) % 0.58/0.81 [242]E(f31(x2421,f30(x2422,x2423,x2424),x2424,x2425),f30(f16(x2421,x2422),f31(x2421,x2423,x2424,x2425),x2425)) % 0.58/0.81 [243]E(f18(f30(x2431,x2432,x2433),x2434,x2433,f39(x2435,a12)),f24(f16(x2434,x2431),f18(x2432,x2434,x2433,f39(x2435,a12)),f39(x2435,a12))) % 0.58/0.81 [252]E(f24(f18(x2521,x2522,x2523,f39(x2524,a12)),f18(x2525,x2522,x2523,f39(x2524,a12)),f39(x2524,a12)),f18(f24(x2521,x2525,f39(x2523,a12)),x2522,x2523,f39(x2524,a12))) % 0.58/0.81 [253]E(f24(f35(x2531,f30(x2532,f27(f39(x2533,a12)),x2533),x2534,x2533),f35(x2531,x2535,x2534,x2533),f39(x2534,a12)),f35(x2531,f30(x2532,x2535,x2533),x2534,x2533)) % 0.58/0.81 [249]E(f24(f31(x2491,x2492,x2493,x2494),f31(x2491,x2495,x2493,x2494),f39(x2494,a12)),f31(x2491,f24(x2492,x2495,f39(x2493,a12)),x2493,x2494)) % 0.58/0.81 [250]E(f24(f35(x2501,x2502,x2503,x2504),f35(x2501,x2505,x2503,x2504),f39(x2503,a12)),f35(x2501,f24(x2502,x2505,f39(x2504,a12)),x2503,x2504)) % 0.58/0.81 [251]E(f25(f35(x2511,x2512,x2513,x2514),f35(x2511,x2515,x2513,x2514),f39(x2513,a12)),f35(x2511,f25(x2512,x2515,f39(x2514,a12)),x2513,x2514)) % 0.58/0.81 [339]~E(f10(x3391,x3392,x3393),f9(x3394,x3395,x3396)) % 0.58/0.81 [342]~E(f11(x3421,x3422,x3423),f9(x3424,x3425,x3426)) % 0.58/0.81 [343]~E(f11(x3431,x3432,x3433),f10(x3434,x3435,x3436)) % 0.58/0.81 [259]E(f16(f21(x2591,x2592,x2593,x2594,x2595),x2596),f16(x2591,f16(x2592,x2596))) % 0.58/0.81 [260]E(f16(f22(x2601,x2602,x2603,x2604,x2605),x2606),f16(x2602,f16(x2601,x2606))) % 0.58/0.81 [261]E(f31(f21(x2611,x2612,x2613,x2614,x2615),x2616,x2615,x2614),f31(x2611,f31(x2612,x2616,x2615,x2613),x2613,x2614)) % 0.58/0.81 [262]E(f35(f21(x2621,x2622,x2623,x2624,x2625),x2626,x2625,x2624),f35(x2622,f35(x2621,x2626,x2623,x2624),x2625,x2623)) % 0.58/0.81 [244]E(f16(f16(f3(x2441,x2442,x2443,x2444),x2445),x2446),f16(f16(x2441,x2446),x2445)) % 0.58/0.81 [265]E(f21(x2651,f21(x2652,x2653,x2654,x2655,x2656),x2655,x2657,x2656),f21(f21(x2651,x2652,x2655,x2657,x2654),x2653,x2654,x2657,x2656)) % 0.58/0.81 [266]E(f22(f22(x2661,x2662,x2663,x2664,x2665),x2666,x2663,x2665,x2667),f22(x2661,f22(x2662,x2666,x2664,x2665,x2667),x2663,x2664,x2667)) % 0.58/0.81 [267]E(f19(x2671,x2672,x2673,x2674,x2675,x2676,x2677,x2678,a1,x2679),x2671) % 0.58/0.81 [268]E(f20(x2681,x2682,x2683,x2684,x2685,x2686,x2687,x2688,a1,x2689),x2681) % 0.58/0.81 [269]E(f19(x2691,x2692,x2693,x2694,x2695,x2696,x2697,x2698,f8(x2699),x26910),f16(x2697,x2699)) % 0.58/0.81 [270]E(f20(x2701,x2702,x2703,x2704,x2705,x2706,x2707,x2708,f8(x2709),x27010),f16(x2707,x2709)) % 0.58/0.81 [271]E(f19(x2711,x2712,x2713,x2714,x2715,x2716,x2717,x2718,f14(x2719,x27110),x27111),f16(f16(x2714,x2719),x27110)) % 0.58/0.81 [272]E(f19(x2721,x2722,x2723,x2724,x2725,x2726,x2727,x2728,f7(x2729,x27210),x27211),f16(f16(x2722,x2729),x27210)) % 0.58/0.81 [273]E(f19(x2731,x2732,x2733,x2734,x2735,x2736,x2737,x2738,f13(x2739,x27310),x27311),f16(f16(x2736,x2739),x27310)) % 0.58/0.81 [274]E(f20(x2741,x2742,x2743,x2744,x2745,x2746,x2747,x2748,f7(x2749,x27410),x27411),f16(f16(x2742,x2749),x27410)) % 0.58/0.81 [279]E(f16(f16(f16(x2791,x2792),x2793),f20(x2794,x2795,x2796,x2797,x2798,x2791,x2799,x27910,x2793,x27911)),f20(x2794,x2795,x2796,x2797,x2798,x2791,x2799,x27910,f13(x2792,x2793),x27911)) % 0.58/0.81 [281]E(f16(f16(f16(f16(x2811,x2812),x2813),f20(x2814,x2815,x2816,x2811,x2817,x2818,x2819,x28110,x2812,x28111)),f20(x2814,x2815,x2816,x2811,x2817,x2818,x2819,x28110,x2813,x28111)),f20(x2814,x2815,x2816,x2811,x2817,x2818,x2819,x28110,f14(x2812,x2813),x28111)) % 0.58/0.81 [280]E(f16(f16(f16(f16(x2801,x2802),x2803),x2804),f20(x2805,x2806,x2801,x2807,x2808,x2809,x28010,x28011,x2804,x28012)),f20(x2805,x2806,x2801,x2807,x2808,x2809,x28010,x28011,f11(x2802,x2803,x2804),x28012)) % 0.58/0.81 [282]E(f16(f16(f16(f16(f16(x2821,x2822),x2823),x2824),f20(x2825,x2826,x2827,x2828,x2821,x2829,x28210,x28211,x2823,x28212)),f20(x2825,x2826,x2827,x2828,x2821,x2829,x28210,x28211,x2824,x28212)),f20(x2825,x2826,x2827,x2828,x2821,x2829,x28210,x28211,f9(x2822,x2823,x2824),x28212)) % 0.58/0.81 [275]E(f19(x2751,x2752,x2753,x2754,x2755,x2756,x2757,x2758,f9(x2759,x27510,x27511),x27512),f16(f16(f16(x2755,x2759),x27510),x27511)) % 0.58/0.81 [276]E(f19(x2761,x2762,x2763,x2764,x2765,x2766,x2767,x2768,f10(x2769,x27610,x27611),x27612),f16(f16(f16(x2768,x2769),x27610),x27611)) % 0.58/0.81 [277]E(f19(x2771,x2772,x2773,x2774,x2775,x2776,x2777,x2778,f11(x2779,x27710,x27711),x27712),f16(f16(f16(x2773,x2779),x27710),x27711)) % 0.58/0.81 [278]E(f20(x2781,x2782,x2783,x2784,x2785,x2786,x2787,x2788,f10(x2789,x27810,x27811),x27812),f16(f16(f16(x2788,x2789),x27810),x27811)) % 0.58/0.81 [396]P19(f16(a40,a45))+~P19(f16(f16(a41,a44),a45)) % 0.58/0.81 [380]~P15(x3801)+E(f16(f27(f39(a15,x3801)),a44),f27(x3801)) % 0.58/0.81 [452]P8(a46,x4521,a15)+~P19(f16(f16(f36(f37(a15)),x4521),a42)) % 0.58/0.81 [371]~P16(x3712)+P6(x3711,x3711,x3712) % 0.58/0.81 [372]~P18(x3722)+P6(x3721,x3721,x3722) % 0.58/0.81 [381]E(x3811,x3812)+~P7(a1,x3812,x3811) % 0.58/0.81 [385]P6(x3852,x3851,a38)+P6(x3851,x3852,a38) % 0.58/0.81 [348]E(x3481,x3482)+~E(f8(x3481),f8(x3482)) % 0.58/0.81 [350]E(x3501,x3502)+~E(f23(x3501),f23(x3502)) % 0.58/0.81 [351]~P1(x3512)+P1(f13(x3511,x3512)) % 0.58/0.81 [352]~P3(x3522)+P2(f39(x3521,x3522)) % 0.58/0.81 [353]~P3(x3532)+P3(f39(x3531,x3532)) % 0.58/0.81 [354]~P4(x3542)+P4(f39(x3541,x3542)) % 0.58/0.81 [355]~P5(x3552)+P5(f39(x3551,x3552)) % 0.58/0.81 [356]~P15(x3562)+P15(f39(x3561,x3562)) % 0.58/0.81 [357]~P13(x3572)+P13(f39(x3571,x3572)) % 0.58/0.81 [358]~P3(x3582)+P14(f39(x3581,x3582)) % 0.58/0.81 [359]~P16(x3592)+P16(f39(x3591,x3592)) % 0.58/0.81 [360]~P18(x3602)+P18(f39(x3601,x3602)) % 0.58/0.81 [368]P1(x3681)+~P1(f14(x3682,x3681)) % 0.58/0.81 [369]P1(x3691)+~P1(f14(x3691,x3692)) % 0.58/0.81 [370]P1(x3701)+~P1(f13(x3702,x3701)) % 0.58/0.81 [373]~P2(x3732)+E(f24(x3731,x3731,x3732),x3731) % 0.58/0.81 [374]~P14(x3742)+E(f25(x3741,x3741,x3742),x3741) % 0.58/0.81 [375]~P15(x3751)+P6(f27(x3751),x3752,x3751) % 0.58/0.81 [387]P6(x3871,x3872,a38)+P6(f23(x3872),x3871,a38) % 0.58/0.81 [397]~P6(x3971,x3972,a38)+P6(x3971,f23(x3972),a38) % 0.58/0.81 [398]P6(x3981,x3982,a38)+~P6(f23(x3981),x3982,a38) % 0.58/0.81 [403]~P6(x4031,x4032,a38)+P6(f23(x4031),f23(x4032),a38) % 0.58/0.81 [409]P6(x4091,x4092,a38)+~P6(f23(x4091),f23(x4092),a38) % 0.58/0.81 [432]~P6(x4321,x4322,a38)+~P6(f23(x4322),x4321,a38) % 0.58/0.81 [376]~P13(x3762)+E(f24(x3761,f27(x3762),x3762),x3761) % 0.58/0.81 [377]~P13(x3771)+E(f24(f27(x3771),x3772,x3771),x3772) % 0.58/0.81 [378]~P13(x3782)+E(f25(x3781,f27(x3782),x3782),f27(x3782)) % 0.58/0.81 [379]~P13(x3791)+E(f25(f27(x3791),x3792,x3791),f27(x3791)) % 0.58/0.81 [382]E(x3821,x3822)+~P11(x3821,x3822,x3823) % 0.58/0.81 [499]E(x4991,x4992)+~P12(a1,x4992,x4993,x4991) % 0.58/0.81 [386]P7(f13(x3861,x3863),x3862,x3862)+P19(f16(x3861,x3862)) % 0.58/0.81 [388]~P2(x3883)+E(f24(x3881,x3882,x3883),f24(x3882,x3881,x3883)) % 0.58/0.81 [389]~P3(x3893)+E(f24(x3891,x3892,x3893),f24(x3892,x3891,x3893)) % 0.58/0.81 [390]~P3(x3903)+E(f25(x3901,x3902,x3903),f25(x3902,x3901,x3903)) % 0.58/0.81 [391]~P14(x3913)+E(f25(x3911,x3912,x3913),f25(x3912,x3911,x3913)) % 0.58/0.81 [393]~P1(x3933)+P1(f11(x3931,x3932,x3933)) % 0.58/0.81 [395]~P1(f8(x3952))+P1(f10(x3951,x3952,x3953)) % 0.58/0.81 [406]P8(x4061,x4062,x4063)+~P8(f23(x4061),x4062,x4063) % 0.58/0.81 [411]~P2(x4113)+P6(x4111,f24(x4112,x4111,x4113),x4113) % 0.58/0.81 [412]~P3(x4123)+P6(x4121,f24(x4122,x4121,x4123),x4123) % 0.58/0.81 [413]~P2(x4133)+P6(x4131,f24(x4131,x4132,x4133),x4133) % 0.58/0.81 [414]~P3(x4143)+P6(x4141,f24(x4141,x4142,x4143),x4143) % 0.58/0.81 [415]~P3(x4153)+P6(f25(x4151,x4152,x4153),x4152,x4153) % 0.58/0.81 [416]~P14(x4163)+P6(f25(x4161,x4162,x4163),x4162,x4163) % 0.58/0.81 [417]~P3(x4173)+P6(f25(x4171,x4172,x4173),x4171,x4173) % 0.58/0.81 [418]~P14(x4183)+P6(f25(x4181,x4182,x4183),x4181,x4183) % 0.58/0.81 [433]P1(x4331)+~P1(f9(x4332,x4333,x4331)) % 0.58/0.81 [434]P1(x4341)+~P1(f9(x4342,x4341,x4343)) % 0.58/0.81 [435]P1(x4351)+~P1(f11(x4352,x4353,x4351)) % 0.58/0.81 [439]P1(f8(x4391))+~P1(f10(x4392,x4391,x4393)) % 0.58/0.81 [419]~P3(x4193)+E(f24(x4191,f25(x4191,x4192,x4193),x4193),x4191) % 0.58/0.81 [420]~P3(x4203)+E(f25(x4201,f24(x4201,x4202,x4203),x4203),x4201) % 0.58/0.81 [440]E(x4401,f27(f39(x4402,a12)))+~E(f24(x4403,x4401,f39(x4402,a12)),f27(f39(x4402,a12))) % 0.58/0.81 [441]E(x4411,f27(f39(x4412,a12)))+~E(f24(x4411,x4413,f39(x4412,a12)),f27(f39(x4412,a12))) % 0.58/0.81 [444]~P2(x4443)+E(f24(x4441,f24(x4441,x4442,x4443),x4443),f24(x4441,x4442,x4443)) % 0.58/0.81 [445]~P3(x4453)+E(f24(x4451,f24(x4451,x4452,x4453),x4453),f24(x4451,x4452,x4453)) % 0.58/0.81 [446]~P3(x4463)+E(f25(x4461,f25(x4461,x4462,x4463),x4463),f25(x4461,x4462,x4463)) % 0.58/0.81 [447]~P14(x4473)+E(f25(x4471,f25(x4471,x4472,x4473),x4473),f25(x4471,x4472,x4473)) % 0.58/0.81 [408]~P19(f16(x4083,x4082))+P19(f16(f16(f36(x4081),x4082),x4083)) % 0.58/0.81 [442]P19(f16(x4421,x4422))+~P19(f16(f16(f36(x4423),x4422),x4421)) % 0.58/0.81 [448]E(f30(x4481,x4482,x4483),x4482)+~P19(f16(f16(f36(x4483),x4481),x4482)) % 0.58/0.81 [458]~P3(x4583)+E(f24(f16(x4581,a44),f16(x4582,a44),x4583),f16(f24(x4581,x4582,f39(a15,x4583)),a44)) % 0.58/0.81 [459]~P3(x4593)+E(f25(f16(x4591,a44),f16(x4592,a44),x4593),f16(f25(x4591,x4592,f39(a15,x4593)),a44)) % 0.58/0.81 [480]E(x4801,x4802)+~E(f30(x4801,f27(f39(x4803,a12)),x4803),f30(x4802,f27(f39(x4803,a12)),x4803)) % 0.58/0.81 [580]E(x5801,x5802)+~E(f16(f3(f36(x5803),x5803,f39(x5803,a12),a12),x5801),f16(f3(f36(x5803),x5803,f39(x5803,a12),a12),x5802)) % 0.58/0.81 [548]E(x5481,x5482)+~P19(f16(f16(f36(x5483),x5481),f30(x5482,f27(f39(x5483,a12)),x5483))) % 0.58/0.81 [508]P7(x5081,x5082,x5083)+~P12(x5081,x5082,x5084,x5083) % 0.58/0.81 [362]E(x3621,x3622)+~E(f14(x3623,x3621),f14(x3624,x3622)) % 0.58/0.81 [363]E(x3631,x3632)+~E(f7(x3633,x3631),f7(x3634,x3632)) % 0.58/0.81 [364]E(x3641,x3642)+~E(f13(x3643,x3641),f13(x3644,x3642)) % 0.58/0.81 [365]E(x3651,x3652)+~E(f14(x3651,x3653),f14(x3652,x3654)) % 0.58/0.81 [366]E(x3661,x3662)+~E(f7(x3661,x3663),f7(x3662,x3664)) % 0.58/0.81 [367]E(x3671,x3672)+~E(f13(x3671,x3673),f13(x3672,x3674)) % 0.58/0.81 [463]P12(f13(x4631,x4633),x4632,x4634,x4632)+P19(f16(x4631,x4632)) % 0.58/0.81 [530]~P12(x5301,x5302,x5303,x5304)+P12(x5301,x5302,f23(x5303),x5304) % 0.58/0.81 [461]~P19(f16(x4612,x4614))+P19(f16(f30(x4611,x4612,x4613),x4614)) % 0.58/0.81 [472]~P2(x4724)+E(f24(x4721,f24(x4722,x4723,x4724),x4724),f24(x4722,f24(x4721,x4723,x4724),x4724)) % 0.58/0.81 [473]~P3(x4734)+E(f24(x4731,f24(x4732,x4733,x4734),x4734),f24(x4732,f24(x4731,x4733,x4734),x4734)) % 0.58/0.81 [474]~P3(x4744)+E(f25(x4741,f25(x4742,x4743,x4744),x4744),f25(x4742,f25(x4741,x4743,x4744),x4744)) % 0.58/0.81 [475]~P14(x4754)+E(f25(x4751,f25(x4752,x4753,x4754),x4754),f25(x4752,f25(x4751,x4753,x4754),x4754)) % 0.58/0.81 [476]~P2(x4763)+E(f24(f24(x4761,x4762,x4763),x4764,x4763),f24(x4761,f24(x4762,x4764,x4763),x4763)) % 0.58/0.81 [477]~P3(x4773)+E(f24(f24(x4771,x4772,x4773),x4774,x4773),f24(x4771,f24(x4772,x4774,x4773),x4773)) % 0.58/0.81 [478]~P3(x4783)+E(f25(f25(x4781,x4782,x4783),x4784,x4783),f25(x4781,f25(x4782,x4784,x4783),x4783)) % 0.58/0.81 [479]~P14(x4793)+E(f25(f25(x4791,x4792,x4793),x4794,x4793),f25(x4791,f25(x4792,x4794,x4793),x4793)) % 0.58/0.81 [503]~P4(x5033)+E(f25(f24(x5031,x5032,x5033),f24(x5031,x5034,x5033),x5033),f24(x5031,f25(x5032,x5034,x5033),x5033)) % 0.58/0.81 [504]~P4(x5043)+E(f24(f25(x5041,x5042,x5043),f25(x5041,x5044,x5043),x5043),f25(x5041,f24(x5042,x5044,x5043),x5043)) % 0.58/0.81 [505]~P4(x5053)+E(f25(f24(x5051,x5052,x5053),f24(x5054,x5052,x5053),x5053),f24(f25(x5051,x5054,x5053),x5052,x5053)) % 0.58/0.81 [506]~P4(x5063)+E(f24(f25(x5061,x5062,x5063),f25(x5064,x5062,x5063),x5063),f25(f24(x5061,x5064,x5063),x5062,x5063)) % 0.58/0.81 [509]~P19(f16(f16(x5093,x5092),x5094))+P19(f16(f16(f36(x5091),x5092),f32(x5093,x5094,x5091))) % 0.58/0.81 [511]~E(f31(x5113,x5111,x5112,x5114),f27(f39(x5114,a12)))+E(x5111,f27(f39(x5112,a12))) % 0.58/0.81 [527]~P19(f16(f16(f36(x5274),x5272),f32(x5271,x5273,x5274)))+P19(f16(f16(x5271,x5272),x5273)) % 0.58/0.81 [556]~P3(x5564)+P6(f24(x5561,f25(x5562,x5563,x5564),x5564),f25(f24(x5561,x5562,x5564),f24(x5561,x5563,x5564),x5564),x5564) % 0.58/0.81 [557]~P3(x5573)+P6(f24(f25(x5571,x5572,x5573),f25(x5571,x5574,x5573),x5573),f25(x5571,f24(x5572,x5574,x5573),x5573),x5573) % 0.58/0.81 [493]E(f25(x4931,f30(x4932,x4933,x4934),f39(x4934,a12)),f25(x4931,x4933,f39(x4934,a12)))+P19(f16(f16(f36(x4934),x4932),x4931)) % 0.58/0.81 [494]E(f25(f30(x4941,x4942,x4943),x4944,f39(x4943,a12)),f25(x4942,x4944,f39(x4943,a12)))+P19(f16(f16(f36(x4943),x4941),x4944)) % 0.58/0.81 [496]~P19(f16(x4962,x4964))+P19(f16(f24(x4961,x4962,f39(x4963,a12)),x4964)) % 0.58/0.81 [497]~P19(f16(x4971,x4974))+P19(f16(f24(x4971,x4972,f39(x4973,a12)),x4974)) % 0.58/0.81 [517]P19(f16(f16(f36(x5171),x5172),f30(x5173,x5174,x5171)))+~P19(f16(f16(f36(x5171),x5172),x5174)) % 0.58/0.81 [520]P19(f16(x5201,x5202))+~P19(f16(f25(x5203,x5201,f39(x5204,a12)),x5202)) % 0.58/0.81 [521]P19(f16(x5211,x5212))+~P19(f16(f25(x5211,x5213,f39(x5214,a12)),x5212)) % 0.58/0.81 [522]E(f30(x5221,f25(x5222,x5223,f39(x5224,a12)),x5224),f25(x5222,f30(x5221,x5223,x5224),f39(x5224,a12)))+~P19(f16(f16(f36(x5224),x5221),x5222)) % 0.58/0.81 [523]E(f30(x5231,f25(x5232,x5233,f39(x5234,a12)),x5234),f25(f30(x5231,x5232,x5234),x5233,f39(x5234,a12)))+~P19(f16(f16(f36(x5234),x5231),x5233)) % 0.58/0.81 [525]~P19(f16(f16(f36(x5251),x5252),x5254))+P19(f16(f16(f36(x5251),x5252),f24(x5253,x5254,f39(x5251,a12)))) % 0.58/0.81 [526]~P19(f16(f16(f36(x5261),x5262),x5263))+P19(f16(f16(f36(x5261),x5262),f24(x5263,x5264,f39(x5261,a12)))) % 0.58/0.81 [540]P19(f16(f16(f36(x5401),x5402),x5403))+~P19(f16(f16(f36(x5401),x5402),f25(x5404,x5403,f39(x5401,a12)))) % 0.58/0.81 [541]P19(f16(f16(f36(x5411),x5412),x5413))+~P19(f16(f16(f36(x5411),x5412),f25(x5413,x5414,f39(x5411,a12)))) % 0.58/0.81 [563]~P19(f16(x5632,f16(x5631,x5635)))+P19(f16(f35(x5631,x5632,x5633,x5634),x5635)) % 0.58/0.81 [579]P19(f16(x5791,f16(x5792,x5793)))+~P19(f16(f35(x5792,x5791,x5794,x5795),x5793)) % 0.58/0.81 [581]~P19(f16(f16(f36(x5814),x5813),f33(x5811,x5812,x5815,x5814)))+P19(f16(f16(x5811,x5812),x5813)) % 0.58/0.81 [582]~P19(f16(f16(f36(x5824),x5822),f33(x5821,x5825,x5823,x5824)))+P19(f16(f16(x5821,x5822),x5823)) % 0.58/0.81 [558]E(f30(f16(x5581,x5582),f31(x5581,x5583,x5584,x5585),x5585),f31(x5581,x5583,x5584,x5585))+~P19(f16(f16(f36(x5584),x5582),x5583)) % 0.58/0.81 [561]E(f24(f16(x5611,x5612),f18(x5613,x5611,x5614,f39(x5615,a12)),f39(x5615,a12)),f18(x5613,x5611,x5614,f39(x5615,a12)))+~P19(f16(f16(f36(x5614),x5612),x5613)) % 0.58/0.81 [570]P19(f16(f16(f36(x5701),f16(x5702,x5703)),f31(x5702,x5704,x5705,x5701)))+~P19(f16(f16(f36(x5705),x5703),x5704)) % 0.58/0.81 [575]P19(f16(f16(f36(x5751),x5752),f35(x5753,x5754,x5751,x5755)))+~P19(f16(f16(f36(x5755),f16(x5753,x5752)),x5754)) % 0.58/0.81 [584]~P19(f16(f16(f36(x5845),x5843),f35(x5842,x5844,x5845,x5841)))+P19(f16(f16(f36(x5841),f16(x5842,x5843)),x5844)) % 0.58/0.81 [587]E(f16(x5871,x5872),x5873)+~P19(f16(f16(f36(x5874),x5872),f35(x5871,f30(x5873,f27(f39(x5875,a12)),x5875),x5874,x5875))) % 0.58/0.81 [422]E(x4221,x4222)+~E(f9(x4223,x4224,x4221),f9(x4225,x4226,x4222)) % 0.58/0.81 [423]E(x4231,x4232)+~E(f10(x4233,x4234,x4231),f10(x4235,x4236,x4232)) % 0.58/0.81 [424]E(x4241,x4242)+~E(f11(x4243,x4244,x4241),f11(x4245,x4246,x4242)) % 0.58/0.81 [425]E(x4251,x4252)+~E(f9(x4253,x4251,x4254),f9(x4255,x4252,x4256)) % 0.58/0.81 [426]E(x4261,x4262)+~E(f10(x4263,x4261,x4264),f10(x4265,x4262,x4266)) % 0.58/0.81 [427]E(x4271,x4272)+~E(f11(x4273,x4271,x4274),f11(x4275,x4272,x4276)) % 0.58/0.81 [428]E(x4281,x4282)+~E(f9(x4281,x4283,x4284),f9(x4282,x4285,x4286)) % 0.58/0.81 [429]E(x4291,x4292)+~E(f10(x4291,x4293,x4294),f10(x4292,x4295,x4296)) % 0.58/0.81 [430]E(x4301,x4302)+~E(f11(x4301,x4303,x4304),f11(x4302,x4305,x4306)) % 0.58/0.81 [598]~P19(f16(f16(f36(x5984),x5983),f34(x5981,x5985,x5982,x5986,x5984)))+P19(f16(f16(x5981,x5982),x5983)) % 0.58/0.81 [599]~P19(f16(f16(f36(x5994),x5992),f34(x5995,x5991,x5996,x5993,x5994)))+P19(f16(f16(x5991,x5992),x5993)) % 0.58/0.81 [544]E(x5441,x5442)+~E(f26(x5443,x5444,x5441,x5445),f26(x5446,x5447,x5442,x5445)) % 0.58/0.81 [545]E(x5451,x5452)+~E(f26(x5453,x5451,x5454,x5455),f26(x5456,x5452,x5457,x5455)) % 0.58/0.81 [546]E(x5461,x5462)+~E(f26(x5461,x5463,x5464,x5465),f26(x5462,x5466,x5467,x5465)) % 0.58/0.81 [594]~E(f21(x5941,x5942,x5945,x5946,x5947),f21(f17(x5946),x5944,x5946,x5946,x5947))+E(f16(x5941,f16(x5942,x5943)),f16(x5944,x5943)) % 0.58/0.81 [612]~P10(x6122,x6121,x6123,x6125,x6127,x6126,x6129,x6128,x6124)+P10(x6121,x6122,f3(x6123,x6124,x6124,a12),f3(x6125,x6124,x6124,a12),x6126,x6127,x6128,x6129,x6124) % 0.58/0.81 [595]~E(f21(x5951,x5952,x5956,x5957,x5958),f21(x5954,x5955,x5959,x5957,x5958))+E(f16(x5951,f16(x5952,x5953)),f16(x5954,f16(x5955,x5953))) % 0.58/0.81 [602]~P10(x6024,x6021,x6025,x6026,x6027,x6028,x6023,x6029,x6022)+E(f16(x6021,f27(f39(x6022,a12))),x6023) % 0.58/0.81 [603]~P10(x6031,x6034,x6035,x6036,x6037,x6038,x6039,x6033,x6032)+E(f16(x6031,f27(f39(x6032,a12))),x6033) % 0.58/0.81 [606]~P10(x6064,x6061,x6065,x6066,x6067,x6068,x6069,x60610,x6063)+E(f16(x6061,f30(x6062,f27(f39(x6063,a12)),x6063)),x6062) % 0.58/0.81 [607]~P10(x6071,x6074,x6075,x6076,x6077,x6078,x6079,x60710,x6073)+E(f16(x6071,f30(x6072,f27(f39(x6073,a12)),x6073)),x6072) % 0.58/0.81 [596]~E(f16(x5961,f16(x5962,x5966)),f16(x5967,f16(x5968,x59611)))+E(f16(f21(x5961,x5962,x5963,x5964,x5965),x5966),f16(f21(x5967,x5968,x5969,x5964,x59610),x59611)) % 0.58/0.81 [604]~P10(x6046,x6041,x6047,x6048,x6049,x6045,x60410,x60411,x6044)+E(f16(x6041,f30(x6042,x6043,x6044)),f16(f16(x6045,x6042),f16(x6041,x6043))) % 0.58/0.81 [605]~P10(x6051,x6056,x6057,x6058,x6055,x6059,x60510,x60511,x6054)+E(f16(x6051,f30(x6052,x6053,x6054)),f16(f16(x6055,x6052),f16(x6051,x6053))) % 0.58/0.81 [610]~P10(x6106,x6101,x6107,x6108,x6109,x6105,x61010,x61011,x6104)+E(f16(x6101,f30(x6102,f30(x6103,f27(f39(x6104,a12)),x6104),x6104)),f16(f16(x6105,x6102),x6103)) % 0.58/0.81 [611]~P10(x6111,x6116,x6117,x6118,x6115,x6119,x61110,x61111,x6114)+E(f16(x6111,f30(x6112,f30(x6113,f27(f39(x6114,a12)),x6114),x6114)),f16(f16(x6115,x6112),x6113)) % 0.58/0.81 [421]E(x4211,x4212)+~P6(x4212,x4211,a38)+~P6(x4211,x4212,a38) % 0.58/0.81 [361]~P1(x3612)+~P1(x3611)+P1(f14(x3611,x3612)) % 0.58/0.81 [407]P6(x4071,x4072,a38)+E(x4071,f23(x4072))+~P6(x4071,f23(x4072),a38) % 0.58/0.81 [392]P6(x3922,x3921,x3923)+~P17(x3923)+P6(x3921,x3922,x3923) % 0.58/0.81 [443]~P6(x4431,x4433,a38)+P6(x4431,x4432,a38)+~P6(x4433,x4432,a38) % 0.58/0.81 [383]~P13(x3832)+~E(f24(x3833,x3831,x3832),f27(x3832))+E(x3831,f27(x3832)) % 0.58/0.81 [384]~P13(x3842)+~E(f24(x3841,x3843,x3842),f27(x3842))+E(x3841,f27(x3842)) % 0.58/0.81 [394]~P1(x3943)+~P1(x3942)+P1(f9(x3941,x3942,x3943)) % 0.58/0.81 [399]~P2(x3993)+~P6(x3991,x3992,x3993)+E(f24(x3991,x3992,x3993),x3992) % 0.58/0.81 [400]~P2(x4003)+~P6(x4002,x4001,x4003)+E(f24(x4001,x4002,x4003),x4001) % 0.58/0.81 [401]~P14(x4013)+~P6(x4012,x4011,x4013)+E(f25(x4011,x4012,x4013),x4012) % 0.58/0.81 [402]~P14(x4023)+~P6(x4021,x4022,x4023)+E(f25(x4021,x4022,x4023),x4021) % 0.58/0.81 [404]~P2(x4043)+P6(x4041,x4042,x4043)+~E(f24(x4041,x4042,x4043),x4042) % 0.58/0.81 [405]~P14(x4053)+P6(x4051,x4052,x4053)+~E(f25(x4051,x4052,x4053),x4051) % 0.58/0.81 [481]P9(x4811,x4812,a15)+P8(f48(x4811,x4812),x4813,a15)+~P19(f16(f16(f36(f37(a15)),x4813),x4811)) % 0.58/0.81 [500]P8(x5001,x5002,a15)+~P8(f23(x5001),f50(x5001,x5003),a15)+~P19(f16(f16(f36(f37(a15)),x5002),x5003)) % 0.58/0.81 [518]P8(x5181,x5182,a15)+P19(f16(f16(f36(f37(a15)),f50(x5181,x5183)),x5183))+~P19(f16(f16(f36(f37(a15)),x5182),x5183)) % 0.58/0.81 [431]~P7(x4313,x4314,x4311)+E(x4311,x4312)+~P7(x4313,x4314,x4312) % 0.58/0.81 [410]E(x4101,x4102)+~P7(f13(x4103,x4104),x4101,x4102)+P19(f16(x4103,x4101)) % 0.58/0.81 [454]~P2(x4544)+~P6(x4541,x4543,x4544)+P6(x4541,f24(x4542,x4543,x4544),x4544) % 0.58/0.81 [455]~P2(x4554)+~P6(x4551,x4552,x4554)+P6(x4551,f24(x4552,x4553,x4554),x4554) % 0.58/0.81 [456]~P14(x4563)+~P6(x4562,x4564,x4563)+P6(f25(x4561,x4562,x4563),x4564,x4563) % 0.58/0.81 [457]~P14(x4573)+~P6(x4571,x4574,x4573)+P6(f25(x4571,x4572,x4573),x4574,x4573) % 0.58/0.81 [465]~P14(x4653)+P6(x4651,x4652,x4653)+~P6(x4651,f25(x4654,x4652,x4653),x4653) % 0.58/0.81 [467]~P14(x4673)+P6(x4671,x4672,x4673)+~P6(x4671,f25(x4672,x4674,x4673),x4673) % 0.58/0.81 [469]~P2(x4693)+P6(x4691,x4692,x4693)+~P6(f24(x4694,x4691,x4693),x4692,x4693) % 0.58/0.81 [471]~P2(x4713)+P6(x4711,x4712,x4713)+~P6(f24(x4711,x4714,x4713),x4712,x4713) % 0.58/0.81 [501]E(x5011,x5012)+P19(f16(x5013,x5011))+~P19(f16(f30(x5012,x5013,x5014),x5011)) % 0.58/0.81 [502]~P19(f16(x5022,x5024))+~P19(f16(x5021,x5024))+P19(f16(f25(x5021,x5022,f39(x5023,a12)),x5024)) % 0.58/0.81 [512]~P19(f16(x5121,x5124))+P19(f16(x5121,f4(x5122,x5121,x5123)))+~P19(f16(f16(f36(x5123),x5124),x5122)) % 0.58/0.81 [513]~P19(f16(x5131,x5134))+P19(f16(x5131,f5(x5132,x5131,x5133)))+~P19(f16(f16(f36(x5133),x5134),x5132)) % 0.58/0.81 [519]~E(f25(x5191,x5192,f39(x5193,a12)),f27(f39(x5193,a12)))+~P19(f16(f16(f36(x5193),x5194),x5191))+~P19(f16(f16(f36(x5193),x5194),x5192)) % 0.58/0.81 [528]P19(f16(x5281,x5282))+P19(f16(x5283,x5282))+~P19(f16(f24(x5281,x5283,f39(x5284,a12)),x5282)) % 0.58/0.81 [529]E(x5291,x5292)+~P19(f16(f16(f36(x5293),x5291),f30(x5292,x5294,x5293)))+P19(f16(f16(f36(x5293),x5291),x5294)) % 0.58/0.81 [536]~P19(f16(f16(f36(x5361),x5362),x5364))+~P19(f16(f16(f36(x5361),x5362),x5363))+P19(f16(f16(f36(x5361),x5362),f25(x5363,x5364,f39(x5361,a12)))) % 0.58/0.81 [538]~P19(f16(x5383,x5384))+~P19(f16(f16(f36(x5381),x5384),x5382))+P19(f16(f16(f36(x5381),f4(x5382,x5383,x5381)),x5382)) % 0.58/0.81 [539]~P19(f16(x5393,x5394))+~P19(f16(f16(f36(x5391),x5394),x5392))+P19(f16(f16(f36(x5391),f5(x5392,x5393,x5391)),x5392)) % 0.58/0.81 [555]P19(f16(f16(f36(x5551),x5552),x5553))+P19(f16(f16(f36(x5551),x5552),x5554))+~P19(f16(f16(f36(x5551),x5552),f24(x5553,x5554,f39(x5551,a12)))) % 0.58/0.81 [534]~P12(x5341,x5342,x5345,x5344)+P12(x5341,x5342,x5343,x5344)+~P6(x5345,x5343,a38) % 0.58/0.81 [453]~P7(x4531,x4533,x4535)+~P7(x4532,x4535,x4534)+P7(f14(x4531,x4532),x4533,x4534) % 0.58/0.81 [460]~P7(x4604,x4602,x4605)+P7(f9(x4601,x4603,x4604),x4602,x4605)+P19(f16(x4601,x4602)) % 0.58/0.81 [462]~P7(x4622,x4624,x4625)+P7(f9(x4621,x4622,x4623),x4624,x4625)+~P19(f16(x4621,x4624)) % 0.58/0.81 [482]P7(x4821,x4822,x4823)+~P7(f9(x4824,x4825,x4821),x4822,x4823)+P19(f16(x4824,x4822)) % 0.58/0.81 [490]P7(x4901,x4902,x4903)+~P7(f9(x4904,x4901,x4905),x4902,x4903)+~P19(f16(x4904,x4902)) % 0.58/0.81 [492]P7(x4921,x4922,x4923)+P7(x4924,x4922,x4923)+~P7(f9(x4925,x4921,x4924),x4922,x4923) % 0.58/0.81 [514]E(x5141,x5142)+~P12(f13(x5143,x5144),x5141,x5145,x5142)+P19(f16(x5143,x5141)) % 0.58/0.81 [588]E(x5881,x5882)+~P12(f13(x5885,x5883),x5881,x5884,x5882)+P12(x5883,x5881,x5884,f28(x5885,x5883,x5884,x5881,x5882)) % 0.58/0.81 [591]E(x5911,x5912)+P12(f13(x5913,x5914),f28(x5913,x5914,x5915,x5911,x5912),x5915,x5912)+~P12(f13(x5913,x5914),x5911,x5915,x5912) % 0.58/0.81 [592]~P12(f13(x5924,x5921),x5922,x5923,x5925)+P12(x5921,x5922,x5923,f28(x5924,x5921,x5923,x5922,x5925))+~P19(f16(x5924,x5922)) % 0.58/0.81 [593]~P12(f13(x5931,x5932),x5934,x5933,x5935)+P12(f13(x5931,x5932),f28(x5931,x5932,x5933,x5934,x5935),x5933,x5935)+~P19(f16(x5931,x5934)) % 0.58/0.81 [566]~P19(f16(f16(x5663,x5664),x5662))+~P19(f16(f16(x5663,x5662),x5665))+P19(f16(f16(f36(x5661),x5662),f33(x5663,x5664,x5665,x5661))) % 0.58/0.81 [532]E(f16(x5321,x5322),f27(f39(x5323,a12)))+~E(f18(x5324,x5321,x5325,f39(x5323,a12)),f27(f39(x5323,a12)))+~P19(f16(f16(f36(x5325),x5322),x5324)) % 0.58/0.81 [537]~P5(x5375)+P6(f16(x5371,x5372),f18(x5373,x5371,x5374,x5375),x5375)+~P19(f16(f16(f36(x5374),x5372),x5373)) % 0.58/0.81 [564]~P19(f16(x5641,x5645))+P19(f16(x5641,f6(x5642,x5643,x5641,x5644)))+~P19(f16(f16(f36(x5644),x5645),x5643)) % 0.58/0.81 [565]~P19(f16(x5651,x5655))+P19(f16(x5651,f6(x5652,x5653,x5651,x5654)))+~P19(f16(f16(f36(x5654),x5655),x5652)) % 0.58/0.81 [585]~P19(f16(x5854,x5855))+~P19(f16(f16(f36(x5851),x5855),x5853))+P19(f16(f16(f36(x5851),f6(x5852,x5853,x5854,x5851)),f24(x5852,x5853,f39(x5851,a12)))) % 0.58/0.81 [586]~P19(f16(x5864,x5865))+~P19(f16(f16(f36(x5861),x5865),x5862))+P19(f16(f16(f36(x5861),f6(x5862,x5863,x5864,x5861)),f24(x5862,x5863,f39(x5861,a12)))) % 0.58/0.81 [550]E(x5501,x5502)+E(x5501,x5503)+~E(f30(x5504,f30(x5501,f27(f39(x5505,a12)),x5505),x5505),f30(x5503,f30(x5502,f27(f39(x5505,a12)),x5505),x5505)) % 0.58/0.81 [551]E(x5511,x5512)+E(x5513,x5512)+~E(f30(x5513,f30(x5511,f27(f39(x5514,a12)),x5514),x5514),f30(x5515,f30(x5512,f27(f39(x5514,a12)),x5514),x5514)) % 0.58/0.81 [552]E(x5521,x5522)+E(x5523,x5522)+~E(f30(x5523,f30(x5521,f27(f39(x5524,a12)),x5524),x5524),f30(x5522,f30(x5525,f27(f39(x5524,a12)),x5524),x5524)) % 0.58/0.81 [553]E(x5531,x5532)+E(x5531,x5533)+~E(f30(x5531,f30(x5534,f27(f39(x5535,a12)),x5535),x5535),f30(x5533,f30(x5532,f27(f39(x5535,a12)),x5535),x5535)) % 0.58/0.81 [542]~P12(x5424,x5422,x5425,x5426)+P12(f9(x5421,x5423,x5424),x5422,x5425,x5426)+P19(f16(x5421,x5422)) % 0.58/0.81 [547]~P12(x5472,x5474,x5475,x5476)+P12(f9(x5471,x5472,x5473),x5474,x5475,x5476)+~P19(f16(x5471,x5474)) % 0.58/0.81 [549]P12(x5493,x5492,x5494,x5495)+~P12(f9(x5491,x5496,x5493),x5492,x5494,x5495)+P19(f16(x5491,x5492)) % 0.58/0.81 [554]P12(x5541,x5542,x5543,x5544)+~P12(f9(x5545,x5541,x5546),x5542,x5543,x5544)+~P19(f16(x5545,x5542)) % 0.58/0.81 [559]~P12(x5591,x5593,x5594,x5596)+~P12(x5592,x5596,x5594,x5595)+P12(f14(x5591,x5592),x5593,x5594,x5595) % 0.58/0.81 [560]P12(x5601,x5602,x5603,x5604)+P12(x5605,x5602,x5603,x5604)+~P12(f9(x5606,x5601,x5605),x5602,x5603,x5604) % 0.58/0.81 [597]~P19(f16(f16(x5974,x5972),x5976))+~P19(f16(f16(x5973,x5975),x5972))+P19(f16(f16(f36(x5971),x5972),f34(x5973,x5974,x5975,x5976,x5971))) % 0.58/0.81 [572]~P19(f16(f16(x5722,x5726),x5725))+~P19(f16(f16(f36(x5723),x5726),x5721))+P19(f16(f18(x5721,x5722,x5723,f39(x5724,a12)),x5725)) % 0.58/0.81 [578]~P19(f16(f16(f36(x5781),x5782),f16(x5784,x5786)))+~P19(f16(f16(f36(x5785),x5786),x5783))+P19(f16(f16(f36(x5781),x5782),f18(x5783,x5784,x5785,f39(x5781,a12)))) % 0.58/0.81 [600]~P12(x6003,x6004,x6007,x6005)+~P12(x6001,x6002,x6008,x6006)+P12(x6001,x6002,f29(x6003,x6001,x6004,x6002,x6005,x6006),x6006) % 0.58/0.81 [601]~P12(x6013,x6014,x6017,x6016)+~P12(x6011,x6012,x6018,x6015)+P12(x6011,x6012,f29(x6011,x6013,x6012,x6014,x6015,x6016),x6015) % 0.58/0.81 [590]~P19(f16(f16(f16(x5902,x5908),x5906),x5907))+~P19(f16(f16(f36(x5903),x5908),x5901))+P19(f16(f16(f18(x5901,x5902,x5903,f39(x5904,f39(x5905,a12))),x5906),x5907)) % 0.58/0.81 [608]~P10(x6086,x6083,x6081,x6087,x6088,x6089,x60810,x60811,x6085)+P19(f16(f16(x6081,x6082),f16(x6083,x6084)))+~P19(f16(f16(f36(x6085),x6082),x6084)) % 0.58/0.81 [609]~P10(x6092,x6096,x6091,x6097,x6098,x6099,x60910,x60911,x6095)+P19(f16(f16(x6091,f16(x6092,x6093)),x6094))+~P19(f16(f16(f36(x6095),x6094),x6093)) % 0.58/0.81 [438]~P6(x4382,x4381,x4383)+~P6(x4381,x4382,x4383)+E(x4381,x4382)+~P16(x4383) % 0.58/0.81 [449]~P16(x4493)+~P6(x4491,x4494,x4493)+P6(x4491,x4492,x4493)+~P6(x4494,x4492,x4493) % 0.58/0.81 [450]~P18(x4503)+~P6(x4501,x4504,x4503)+P6(x4501,x4502,x4503)+~P6(x4504,x4502,x4503) % 0.58/0.81 [485]~P14(x4854)+~P6(x4851,x4853,x4854)+~P6(x4851,x4852,x4854)+P6(x4851,f25(x4852,x4853,x4854),x4854) % 0.58/0.81 [488]~P2(x4883)+~P6(x4882,x4884,x4883)+~P6(x4881,x4884,x4883)+P6(f24(x4881,x4882,x4883),x4884,x4883) % 0.58/0.81 [498]E(x4981,x4982)+~E(f30(x4984,x4981,x4983),f30(x4984,x4982,x4983))+P19(f16(f16(f36(x4983),x4984),x4982))+P19(f16(f16(f36(x4983),x4984),x4981)) % 0.58/0.81 [515]P8(x5151,x5152,a15)+~P9(x5153,x5154,a15)+~P8(x5151,f49(x5153,x5151),a15)+~P19(f16(f16(f36(f37(a15)),x5152),x5154)) % 0.58/0.81 [524]P8(x5241,x5242,a15)+~P9(x5243,x5244,a15)+P19(f16(f16(f36(f37(a15)),f49(x5243,x5241)),x5243))+~P19(f16(f16(f36(f37(a15)),x5242),x5244)) % 0.58/0.81 [489]~P7(x4892,x4893,x4895)+~P7(f13(x4891,x4892),x4895,x4894)+P7(f13(x4891,x4892),x4893,x4894)+~P19(f16(x4891,x4893)) % 0.58/0.81 [562]~P12(x5622,x5623,x5624,x5626)+~P12(f13(x5621,x5622),x5626,x5624,x5625)+P12(f13(x5621,x5622),x5623,x5624,x5625)+~P19(f16(x5621,x5623)) % 0.58/0.81 [576]~P12(x5764,x5765,x5766,x5763)+~P8(x5766,f26(x5767,x5764,x5761,a15),a15)+P19(f16(f16(x5761,x5762),x5763))+~P19(f16(f16(x5767,x5762),x5765)) % 0.58/0.81 [533]~P12(a43,x5333,x5334,x5332)+~P8(x5334,f47(x5334),a15)+~P19(f16(a40,x5333))+~P19(f16(f16(a41,x5331),x5333))+P19(f16(f16(a41,x5331),x5332)) % 0.58/0.81 [543]~P12(a43,x5434,x5433,x5432)+~P19(f16(a40,x5434))+~P19(f16(f16(a41,x5431),x5434))+P19(f16(f16(a41,x5431),x5432))+P19(f16(f16(f36(f37(a15)),f47(x5433)),a42)) % 0.58/0.81 %EqnAxiom % 0.58/0.81 [1]E(x11,x11) % 0.58/0.81 [2]E(x22,x21)+~E(x21,x22) % 0.58/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.58/0.81 [4]~E(x41,x42)+E(f13(x41,x43),f13(x42,x43)) % 0.58/0.81 [5]~E(x51,x52)+E(f13(x53,x51),f13(x53,x52)) % 0.58/0.81 [6]~E(x61,x62)+E(f2(x61),f2(x62)) % 0.58/0.81 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73)) % 0.58/0.81 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82)) % 0.58/0.81 [9]~E(x91,x92)+E(f17(x91),f17(x92)) % 0.58/0.81 [10]~E(x101,x102)+E(f30(x101,x103,x104),f30(x102,x103,x104)) % 0.58/0.81 [11]~E(x111,x112)+E(f30(x113,x111,x114),f30(x113,x112,x114)) % 0.58/0.81 [12]~E(x121,x122)+E(f30(x123,x124,x121),f30(x123,x124,x122)) % 0.58/0.81 [13]~E(x131,x132)+E(f39(x131,x133),f39(x132,x133)) % 0.58/0.81 [14]~E(x141,x142)+E(f39(x143,x141),f39(x143,x142)) % 0.58/0.81 [15]~E(x151,x152)+E(f27(x151),f27(x152)) % 0.58/0.81 [16]~E(x161,x162)+E(f18(x161,x163,x164,x165),f18(x162,x163,x164,x165)) % 0.58/0.81 [17]~E(x171,x172)+E(f18(x173,x171,x174,x175),f18(x173,x172,x174,x175)) % 0.58/0.81 [18]~E(x181,x182)+E(f18(x183,x184,x181,x185),f18(x183,x184,x182,x185)) % 0.58/0.81 [19]~E(x191,x192)+E(f18(x193,x194,x195,x191),f18(x193,x194,x195,x192)) % 0.58/0.81 [20]~E(x201,x202)+E(f37(x201),f37(x202)) % 0.58/0.81 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213)) % 0.58/0.81 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222)) % 0.58/0.81 [23]~E(x231,x232)+E(f23(x231),f23(x232)) % 0.58/0.81 [24]~E(x241,x242)+E(f25(x241,x243,x244),f25(x242,x243,x244)) % 0.58/0.81 [25]~E(x251,x252)+E(f25(x253,x251,x254),f25(x253,x252,x254)) % 0.58/0.81 [26]~E(x261,x262)+E(f25(x263,x264,x261),f25(x263,x264,x262)) % 0.58/0.81 [27]~E(x271,x272)+E(f24(x271,x273,x274),f24(x272,x273,x274)) % 0.58/0.81 [28]~E(x281,x282)+E(f24(x283,x281,x284),f24(x283,x282,x284)) % 0.58/0.81 [29]~E(x291,x292)+E(f24(x293,x294,x291),f24(x293,x294,x292)) % 0.58/0.81 [30]~E(x301,x302)+E(f36(x301),f36(x302)) % 0.58/0.81 [31]~E(x311,x312)+E(f10(x311,x313,x314),f10(x312,x313,x314)) % 0.58/0.81 [32]~E(x321,x322)+E(f10(x323,x321,x324),f10(x323,x322,x324)) % 0.58/0.81 [33]~E(x331,x332)+E(f10(x333,x334,x331),f10(x333,x334,x332)) % 0.58/0.81 [34]~E(x341,x342)+E(f11(x341,x343,x344),f11(x342,x343,x344)) % 0.58/0.81 [35]~E(x351,x352)+E(f11(x353,x351,x354),f11(x353,x352,x354)) % 0.58/0.81 [36]~E(x361,x362)+E(f11(x363,x364,x361),f11(x363,x364,x362)) % 0.58/0.81 [37]~E(x371,x372)+E(f8(x371),f8(x372)) % 0.58/0.81 [38]~E(x381,x382)+E(f49(x381,x383),f49(x382,x383)) % 0.58/0.81 [39]~E(x391,x392)+E(f49(x393,x391),f49(x393,x392)) % 0.58/0.81 [40]~E(x401,x402)+E(f3(x401,x403,x404,x405),f3(x402,x403,x404,x405)) % 0.58/0.81 [41]~E(x411,x412)+E(f3(x413,x411,x414,x415),f3(x413,x412,x414,x415)) % 0.58/0.81 [42]~E(x421,x422)+E(f3(x423,x424,x421,x425),f3(x423,x424,x422,x425)) % 0.58/0.81 [43]~E(x431,x432)+E(f3(x433,x434,x435,x431),f3(x433,x434,x435,x432)) % 0.58/0.81 [44]~E(x441,x442)+E(f14(x441,x443),f14(x442,x443)) % 0.58/0.81 [45]~E(x451,x452)+E(f14(x453,x451),f14(x453,x452)) % 0.58/0.81 [46]~E(x461,x462)+E(f9(x461,x463,x464),f9(x462,x463,x464)) % 0.58/0.81 [47]~E(x471,x472)+E(f9(x473,x471,x474),f9(x473,x472,x474)) % 0.58/0.81 [48]~E(x481,x482)+E(f9(x483,x484,x481),f9(x483,x484,x482)) % 0.58/0.81 [49]~E(x491,x492)+E(f19(x491,x493,x494,x495,x496,x497,x498,x499,x4910,x4911),f19(x492,x493,x494,x495,x496,x497,x498,x499,x4910,x4911)) % 0.58/0.81 [50]~E(x501,x502)+E(f19(x503,x501,x504,x505,x506,x507,x508,x509,x5010,x5011),f19(x503,x502,x504,x505,x506,x507,x508,x509,x5010,x5011)) % 0.58/0.81 [51]~E(x511,x512)+E(f19(x513,x514,x511,x515,x516,x517,x518,x519,x5110,x5111),f19(x513,x514,x512,x515,x516,x517,x518,x519,x5110,x5111)) % 0.58/0.81 [52]~E(x521,x522)+E(f19(x523,x524,x525,x521,x526,x527,x528,x529,x5210,x5211),f19(x523,x524,x525,x522,x526,x527,x528,x529,x5210,x5211)) % 0.58/0.81 [53]~E(x531,x532)+E(f19(x533,x534,x535,x536,x531,x537,x538,x539,x5310,x5311),f19(x533,x534,x535,x536,x532,x537,x538,x539,x5310,x5311)) % 0.58/0.81 [54]~E(x541,x542)+E(f19(x543,x544,x545,x546,x547,x541,x548,x549,x5410,x5411),f19(x543,x544,x545,x546,x547,x542,x548,x549,x5410,x5411)) % 0.58/0.81 [55]~E(x551,x552)+E(f19(x553,x554,x555,x556,x557,x558,x551,x559,x5510,x5511),f19(x553,x554,x555,x556,x557,x558,x552,x559,x5510,x5511)) % 0.58/0.81 [56]~E(x561,x562)+E(f19(x563,x564,x565,x566,x567,x568,x569,x561,x5610,x5611),f19(x563,x564,x565,x566,x567,x568,x569,x562,x5610,x5611)) % 0.58/0.81 [57]~E(x571,x572)+E(f19(x573,x574,x575,x576,x577,x578,x579,x5710,x571,x5711),f19(x573,x574,x575,x576,x577,x578,x579,x5710,x572,x5711)) % 0.58/0.81 [58]~E(x581,x582)+E(f19(x583,x584,x585,x586,x587,x588,x589,x5810,x5811,x581),f19(x583,x584,x585,x586,x587,x588,x589,x5810,x5811,x582)) % 0.58/0.81 [59]~E(x591,x592)+E(f4(x591,x593,x594),f4(x592,x593,x594)) % 0.58/0.81 [60]~E(x601,x602)+E(f4(x603,x601,x604),f4(x603,x602,x604)) % 0.58/0.81 [61]~E(x611,x612)+E(f4(x613,x614,x611),f4(x613,x614,x612)) % 0.58/0.81 [62]~E(x621,x622)+E(f35(x621,x623,x624,x625),f35(x622,x623,x624,x625)) % 0.58/0.81 [63]~E(x631,x632)+E(f35(x633,x631,x634,x635),f35(x633,x632,x634,x635)) % 0.58/0.81 [64]~E(x641,x642)+E(f35(x643,x644,x641,x645),f35(x643,x644,x642,x645)) % 0.58/0.81 [65]~E(x651,x652)+E(f35(x653,x654,x655,x651),f35(x653,x654,x655,x652)) % 0.58/0.81 [66]~E(x661,x662)+E(f21(x661,x663,x664,x665,x666),f21(x662,x663,x664,x665,x666)) % 0.58/0.81 [67]~E(x671,x672)+E(f21(x673,x671,x674,x675,x676),f21(x673,x672,x674,x675,x676)) % 0.58/0.81 [68]~E(x681,x682)+E(f21(x683,x684,x681,x685,x686),f21(x683,x684,x682,x685,x686)) % 0.58/0.81 [69]~E(x691,x692)+E(f21(x693,x694,x695,x691,x696),f21(x693,x694,x695,x692,x696)) % 0.58/0.81 [70]~E(x701,x702)+E(f21(x703,x704,x705,x706,x701),f21(x703,x704,x705,x706,x702)) % 0.58/0.81 [71]~E(x711,x712)+E(f32(x711,x713,x714),f32(x712,x713,x714)) % 0.58/0.81 [72]~E(x721,x722)+E(f32(x723,x721,x724),f32(x723,x722,x724)) % 0.58/0.81 [73]~E(x731,x732)+E(f32(x733,x734,x731),f32(x733,x734,x732)) % 0.58/0.81 [74]~E(x741,x742)+E(f6(x741,x743,x744,x745),f6(x742,x743,x744,x745)) % 0.58/0.81 [75]~E(x751,x752)+E(f6(x753,x751,x754,x755),f6(x753,x752,x754,x755)) % 0.58/0.81 [76]~E(x761,x762)+E(f6(x763,x764,x761,x765),f6(x763,x764,x762,x765)) % 0.58/0.81 [77]~E(x771,x772)+E(f6(x773,x774,x775,x771),f6(x773,x774,x775,x772)) % 0.58/0.81 [78]~E(x781,x782)+E(f29(x781,x783,x784,x785,x786,x787),f29(x782,x783,x784,x785,x786,x787)) % 0.58/0.81 [79]~E(x791,x792)+E(f29(x793,x791,x794,x795,x796,x797),f29(x793,x792,x794,x795,x796,x797)) % 0.58/0.81 [80]~E(x801,x802)+E(f29(x803,x804,x801,x805,x806,x807),f29(x803,x804,x802,x805,x806,x807)) % 0.58/0.81 [81]~E(x811,x812)+E(f29(x813,x814,x815,x811,x816,x817),f29(x813,x814,x815,x812,x816,x817)) % 0.58/0.81 [82]~E(x821,x822)+E(f29(x823,x824,x825,x826,x821,x827),f29(x823,x824,x825,x826,x822,x827)) % 0.58/0.81 [83]~E(x831,x832)+E(f29(x833,x834,x835,x836,x837,x831),f29(x833,x834,x835,x836,x837,x832)) % 0.58/0.81 [84]~E(x841,x842)+E(f31(x841,x843,x844,x845),f31(x842,x843,x844,x845)) % 0.58/0.81 [85]~E(x851,x852)+E(f31(x853,x851,x854,x855),f31(x853,x852,x854,x855)) % 0.58/0.81 [86]~E(x861,x862)+E(f31(x863,x864,x861,x865),f31(x863,x864,x862,x865)) % 0.58/0.81 [87]~E(x871,x872)+E(f31(x873,x874,x875,x871),f31(x873,x874,x875,x872)) % 0.58/0.81 [88]~E(x881,x882)+E(f22(x881,x883,x884,x885,x886),f22(x882,x883,x884,x885,x886)) % 0.58/0.81 [89]~E(x891,x892)+E(f22(x893,x891,x894,x895,x896),f22(x893,x892,x894,x895,x896)) % 0.58/0.81 [90]~E(x901,x902)+E(f22(x903,x904,x901,x905,x906),f22(x903,x904,x902,x905,x906)) % 0.58/0.81 [91]~E(x911,x912)+E(f22(x913,x914,x915,x911,x916),f22(x913,x914,x915,x912,x916)) % 0.58/0.81 [92]~E(x921,x922)+E(f22(x923,x924,x925,x926,x921),f22(x923,x924,x925,x926,x922)) % 0.58/0.81 [93]~E(x931,x932)+E(f50(x931,x933),f50(x932,x933)) % 0.58/0.81 [94]~E(x941,x942)+E(f50(x943,x941),f50(x943,x942)) % 0.58/0.81 [95]~E(x951,x952)+E(f28(x951,x953,x954,x955,x956),f28(x952,x953,x954,x955,x956)) % 0.58/0.81 [96]~E(x961,x962)+E(f28(x963,x961,x964,x965,x966),f28(x963,x962,x964,x965,x966)) % 0.58/0.81 [97]~E(x971,x972)+E(f28(x973,x974,x971,x975,x976),f28(x973,x974,x972,x975,x976)) % 0.58/0.81 [98]~E(x981,x982)+E(f28(x983,x984,x985,x981,x986),f28(x983,x984,x985,x982,x986)) % 0.58/0.81 [99]~E(x991,x992)+E(f28(x993,x994,x995,x996,x991),f28(x993,x994,x995,x996,x992)) % 0.58/0.81 [100]~E(x1001,x1002)+E(f20(x1001,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x10010,x10011),f20(x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x10010,x10011)) % 0.58/0.81 [101]~E(x1011,x1012)+E(f20(x1013,x1011,x1014,x1015,x1016,x1017,x1018,x1019,x10110,x10111),f20(x1013,x1012,x1014,x1015,x1016,x1017,x1018,x1019,x10110,x10111)) % 0.58/0.81 [102]~E(x1021,x1022)+E(f20(x1023,x1024,x1021,x1025,x1026,x1027,x1028,x1029,x10210,x10211),f20(x1023,x1024,x1022,x1025,x1026,x1027,x1028,x1029,x10210,x10211)) % 0.58/0.81 [103]~E(x1031,x1032)+E(f20(x1033,x1034,x1035,x1031,x1036,x1037,x1038,x1039,x10310,x10311),f20(x1033,x1034,x1035,x1032,x1036,x1037,x1038,x1039,x10310,x10311)) % 0.58/0.81 [104]~E(x1041,x1042)+E(f20(x1043,x1044,x1045,x1046,x1041,x1047,x1048,x1049,x10410,x10411),f20(x1043,x1044,x1045,x1046,x1042,x1047,x1048,x1049,x10410,x10411)) % 0.58/0.81 [105]~E(x1051,x1052)+E(f20(x1053,x1054,x1055,x1056,x1057,x1051,x1058,x1059,x10510,x10511),f20(x1053,x1054,x1055,x1056,x1057,x1052,x1058,x1059,x10510,x10511)) % 0.58/0.81 [106]~E(x1061,x1062)+E(f20(x1063,x1064,x1065,x1066,x1067,x1068,x1061,x1069,x10610,x10611),f20(x1063,x1064,x1065,x1066,x1067,x1068,x1062,x1069,x10610,x10611)) % 0.58/0.81 [107]~E(x1071,x1072)+E(f20(x1073,x1074,x1075,x1076,x1077,x1078,x1079,x1071,x10710,x10711),f20(x1073,x1074,x1075,x1076,x1077,x1078,x1079,x1072,x10710,x10711)) % 0.58/0.81 [108]~E(x1081,x1082)+E(f20(x1083,x1084,x1085,x1086,x1087,x1088,x1089,x10810,x1081,x10811),f20(x1083,x1084,x1085,x1086,x1087,x1088,x1089,x10810,x1082,x10811)) % 0.58/0.81 [109]~E(x1091,x1092)+E(f20(x1093,x1094,x1095,x1096,x1097,x1098,x1099,x10910,x10911,x1091),f20(x1093,x1094,x1095,x1096,x1097,x1098,x1099,x10910,x10911,x1092)) % 0.58/0.81 [110]~E(x1101,x1102)+E(f34(x1101,x1103,x1104,x1105,x1106),f34(x1102,x1103,x1104,x1105,x1106)) % 0.58/0.81 [111]~E(x1111,x1112)+E(f34(x1113,x1111,x1114,x1115,x1116),f34(x1113,x1112,x1114,x1115,x1116)) % 0.58/0.81 [112]~E(x1121,x1122)+E(f34(x1123,x1124,x1121,x1125,x1126),f34(x1123,x1124,x1122,x1125,x1126)) % 0.58/0.81 [113]~E(x1131,x1132)+E(f34(x1133,x1134,x1135,x1131,x1136),f34(x1133,x1134,x1135,x1132,x1136)) % 0.58/0.81 [114]~E(x1141,x1142)+E(f34(x1143,x1144,x1145,x1146,x1141),f34(x1143,x1144,x1145,x1146,x1142)) % 0.58/0.81 [115]~E(x1151,x1152)+E(f33(x1151,x1153,x1154,x1155),f33(x1152,x1153,x1154,x1155)) % 0.58/0.81 [116]~E(x1161,x1162)+E(f33(x1163,x1161,x1164,x1165),f33(x1163,x1162,x1164,x1165)) % 0.58/0.81 [117]~E(x1171,x1172)+E(f33(x1173,x1174,x1171,x1175),f33(x1173,x1174,x1172,x1175)) % 0.58/0.81 [118]~E(x1181,x1182)+E(f33(x1183,x1184,x1185,x1181),f33(x1183,x1184,x1185,x1182)) % 0.58/0.81 [119]~E(x1191,x1192)+E(f5(x1191,x1193,x1194),f5(x1192,x1193,x1194)) % 0.58/0.81 [120]~E(x1201,x1202)+E(f5(x1203,x1201,x1204),f5(x1203,x1202,x1204)) % 0.58/0.81 [121]~E(x1211,x1212)+E(f5(x1213,x1214,x1211),f5(x1213,x1214,x1212)) % 0.58/0.81 [122]~E(x1221,x1222)+E(f26(x1221,x1223,x1224,x1225),f26(x1222,x1223,x1224,x1225)) % 0.58/0.81 [123]~E(x1231,x1232)+E(f26(x1233,x1231,x1234,x1235),f26(x1233,x1232,x1234,x1235)) % 0.58/0.81 [124]~E(x1241,x1242)+E(f26(x1243,x1244,x1241,x1245),f26(x1243,x1244,x1242,x1245)) % 0.58/0.81 [125]~E(x1251,x1252)+E(f26(x1253,x1254,x1255,x1251),f26(x1253,x1254,x1255,x1252)) % 0.58/0.81 [126]~E(x1261,x1262)+E(f47(x1261),f47(x1262)) % 0.58/0.81 [127]~E(x1271,x1272)+E(f48(x1271,x1273),f48(x1272,x1273)) % 0.58/0.81 [128]~E(x1281,x1282)+E(f48(x1283,x1281),f48(x1283,x1282)) % 0.58/0.81 [129]~P1(x1291)+P1(x1292)+~E(x1291,x1292) % 0.58/0.81 [130]~P2(x1301)+P2(x1302)+~E(x1301,x1302) % 0.58/0.81 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312) % 0.58/0.81 [132]~P3(x1321)+P3(x1322)+~E(x1321,x1322) % 0.58/0.81 [133]P7(x1332,x1333,x1334)+~E(x1331,x1332)+~P7(x1331,x1333,x1334) % 0.58/0.81 [134]P7(x1343,x1342,x1344)+~E(x1341,x1342)+~P7(x1343,x1341,x1344) % 0.58/0.81 [135]P7(x1353,x1354,x1352)+~E(x1351,x1352)+~P7(x1353,x1354,x1351) % 0.58/0.81 [136]~P4(x1361)+P4(x1362)+~E(x1361,x1362) % 0.58/0.81 [137]P6(x1372,x1373,x1374)+~E(x1371,x1372)+~P6(x1371,x1373,x1374) % 0.58/0.81 [138]P6(x1383,x1382,x1384)+~E(x1381,x1382)+~P6(x1383,x1381,x1384) % 0.58/0.81 [139]P6(x1393,x1394,x1392)+~E(x1391,x1392)+~P6(x1393,x1394,x1391) % 0.58/0.81 [140]~P5(x1401)+P5(x1402)+~E(x1401,x1402) % 0.58/0.81 [141]~P15(x1411)+P15(x1412)+~E(x1411,x1412) % 0.58/0.81 [142]P12(x1422,x1423,x1424,x1425)+~E(x1421,x1422)+~P12(x1421,x1423,x1424,x1425) % 0.58/0.81 [143]P12(x1433,x1432,x1434,x1435)+~E(x1431,x1432)+~P12(x1433,x1431,x1434,x1435) % 0.58/0.81 [144]P12(x1443,x1444,x1442,x1445)+~E(x1441,x1442)+~P12(x1443,x1444,x1441,x1445) % 0.58/0.81 [145]P12(x1453,x1454,x1455,x1452)+~E(x1451,x1452)+~P12(x1453,x1454,x1455,x1451) % 0.58/0.81 [146]~P13(x1461)+P13(x1462)+~E(x1461,x1462) % 0.58/0.81 [147]~P14(x1471)+P14(x1472)+~E(x1471,x1472) % 0.58/0.81 [148]P8(x1482,x1483,x1484)+~E(x1481,x1482)+~P8(x1481,x1483,x1484) % 0.58/0.81 [149]P8(x1493,x1492,x1494)+~E(x1491,x1492)+~P8(x1493,x1491,x1494) % 0.58/0.81 [150]P8(x1503,x1504,x1502)+~E(x1501,x1502)+~P8(x1503,x1504,x1501) % 0.58/0.81 [151]~P16(x1511)+P16(x1512)+~E(x1511,x1512) % 0.58/0.81 [152]P9(x1522,x1523,x1524)+~E(x1521,x1522)+~P9(x1521,x1523,x1524) % 0.58/0.81 [153]P9(x1533,x1532,x1534)+~E(x1531,x1532)+~P9(x1533,x1531,x1534) % 0.58/0.81 [154]P9(x1543,x1544,x1542)+~E(x1541,x1542)+~P9(x1543,x1544,x1541) % 0.58/0.81 [155]~P18(x1551)+P18(x1552)+~E(x1551,x1552) % 0.58/0.81 [156]P10(x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x15610)+~E(x1561,x1562)+~P10(x1561,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x15610) % 0.58/0.81 [157]P10(x1573,x1572,x1574,x1575,x1576,x1577,x1578,x1579,x15710)+~E(x1571,x1572)+~P10(x1573,x1571,x1574,x1575,x1576,x1577,x1578,x1579,x15710) % 0.58/0.81 [158]P10(x1583,x1584,x1582,x1585,x1586,x1587,x1588,x1589,x15810)+~E(x1581,x1582)+~P10(x1583,x1584,x1581,x1585,x1586,x1587,x1588,x1589,x15810) % 0.58/0.81 [159]P10(x1593,x1594,x1595,x1592,x1596,x1597,x1598,x1599,x15910)+~E(x1591,x1592)+~P10(x1593,x1594,x1595,x1591,x1596,x1597,x1598,x1599,x15910) % 0.58/0.81 [160]P10(x1603,x1604,x1605,x1606,x1602,x1607,x1608,x1609,x16010)+~E(x1601,x1602)+~P10(x1603,x1604,x1605,x1606,x1601,x1607,x1608,x1609,x16010) % 0.58/0.81 [161]P10(x1613,x1614,x1615,x1616,x1617,x1612,x1618,x1619,x16110)+~E(x1611,x1612)+~P10(x1613,x1614,x1615,x1616,x1617,x1611,x1618,x1619,x16110) % 0.58/0.81 [162]P10(x1623,x1624,x1625,x1626,x1627,x1628,x1622,x1629,x16210)+~E(x1621,x1622)+~P10(x1623,x1624,x1625,x1626,x1627,x1628,x1621,x1629,x16210) % 0.58/0.81 [163]P10(x1633,x1634,x1635,x1636,x1637,x1638,x1639,x1632,x16310)+~E(x1631,x1632)+~P10(x1633,x1634,x1635,x1636,x1637,x1638,x1639,x1631,x16310) % 0.58/0.81 [164]P10(x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410,x1642)+~E(x1641,x1642)+~P10(x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410,x1641) % 0.58/0.81 [165]~P17(x1651)+P17(x1652)+~E(x1651,x1652) % 0.58/0.81 [166]P11(x1662,x1663,x1664)+~E(x1661,x1662)+~P11(x1661,x1663,x1664) % 0.58/0.81 [167]P11(x1673,x1672,x1674)+~E(x1671,x1672)+~P11(x1673,x1671,x1674) % 0.58/0.81 [168]P11(x1683,x1684,x1682)+~E(x1681,x1682)+~P11(x1683,x1684,x1681) % 0.58/0.81 % 0.58/0.81 %------------------------------------------- % 0.58/0.81 cnf(643,plain, % 0.58/0.81 ($false), % 0.58/0.81 inference(scs_inference,[],[187,292]), % 0.58/0.81 ['proof']). % 0.58/0.81 % SZS output end Proof % 0.58/0.81 % Total time :0.030000s %------------------------------------------------------------------------------