%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV912-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jul 27 13:21:46 EDT 2022 % Result : Unknown 65.77s 65.85s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV912-1 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jul 27 05:38:52 EDT 2022 % 0.13/0.34 % CPUTime : % 64.73/64.83 ----- Otter 3.3f, August 2004 ----- % 64.73/64.83 The process was started by sandbox on n019.cluster.edu, % 64.73/64.83 Wed Jul 27 05:38:52 2022 % 64.73/64.83 The command was "./otter". The process ID is 30716. % 64.73/64.83 % 64.73/64.83 set(prolog_style_variables). % 64.73/64.83 set(auto). % 64.73/64.83 dependent: set(auto1). % 64.73/64.83 dependent: set(process_input). % 64.73/64.83 dependent: clear(print_kept). % 64.73/64.83 dependent: clear(print_new_demod). % 64.73/64.83 dependent: clear(print_back_demod). % 64.73/64.83 dependent: clear(print_back_sub). % 64.73/64.83 dependent: set(control_memory). % 64.73/64.83 dependent: assign(max_mem, 12000). % 64.73/64.83 dependent: assign(pick_given_ratio, 4). % 64.73/64.83 dependent: assign(stats_level, 1). % 64.73/64.83 dependent: assign(max_seconds, 10800). % 64.73/64.83 clear(print_given). % 64.73/64.83 % 64.73/64.83 list(usable). % 64.73/64.83 0 [] A=A. % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a). % 64.73/64.83 0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,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)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)). % 64.73/64.83 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a). % 64.73/64.83 0 [] c_lesse_quals(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_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(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_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_P))| -c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)). % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))| -c_Com_OWT(c_Com_Ocom_OBODY(V_pn)). % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|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). % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|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). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|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). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|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). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)| -c_Natural_Oevalc(V_c1,V_s1,V_s2)| -c_Natural_Oevalc(V_c0,V_s0,V_s1). % 64.73/64.83 0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c0,V_s,V_s1)| -hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)| -c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1). % 64.73/64.83 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H. % 64.73/64.83 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y. % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)| -c_Natural_Oevalc(V_c,V_s0,V_s1)| -hBOOL(hAPP(V_b,V_s0)). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s0)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)). % 64.73/64.83 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P. % 64.73/64.83 0 [] c_COMBI(V_P,T_a)=V_P. % 64.73/64.83 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q). % 64.73/64.83 0 [] c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c)=hAPP(V_P,hAPP(V_Q,V_R)). % 64.73/64.83 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A. % 64.73/64.83 0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x. % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A. % 64.73/64.83 0 [] -class_Lattices_Olattice(T_b)|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). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 64.73/64.83 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)). % 64.73/64.83 0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OBODY(V_pname). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_fun=V_fun_H. % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_pname=V_pname_H. % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname,V_pname,V_fun)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)|V_vname=V_vname_H. % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)|hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] c_Collect(V_P,T_a)=V_P. % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H. % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H. % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] 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))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 64.73/64.83 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com). % 64.73/64.83 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c. % 64.73/64.83 0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a. % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 64.73/64.83 0 [] 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))| -hBOOL(c_in(V_k,V_I,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H. % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H. % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H. % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 64.73/64.83 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)). % 64.73/64.83 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H). % 64.73/64.83 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)). % 64.73/64.83 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OWhile(V_fun,V_com). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)). % 64.73/64.83 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_Set_Oinsert(V_a,V_B,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H. % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H. % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H. % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))| -c_Com_OWT(V_c). % 64.73/64.83 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|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). % 64.73/64.83 0 [] -class_Lattices_Olattice(T_a)|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). % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))| -c_Com_OWT(V_c). % 64.73/64.83 0 [] c_Com_OWT(V_c)| -c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)). % 64.73/64.83 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(c_in(V_x,V_B,T_a)). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(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_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t). % 64.73/64.83 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t). % 64.73/64.83 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)). % 64.73/64.83 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.83 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x. % 64.73/64.83 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x. % 64.73/64.83 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a). % 64.73/64.83 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)). % 64.73/64.83 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] c_lesse_quals(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)). % 64.73/64.83 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)). % 64.73/64.83 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A. % 64.73/64.83 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] 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))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 64.73/64.83 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)). % 64.73/64.83 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.83 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)). % 64.73/64.83 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)). % 64.73/64.83 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B. % 64.73/64.83 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)). % 64.73/64.83 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)). % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0). % 64.73/64.83 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 64.73/64.83 0 [] 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))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)). % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)|hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t). % 64.73/64.83 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a). % 64.73/64.83 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a). % 64.73/64.83 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c1,V_s,V_s1)|hBOOL(hAPP(V_b,V_s)). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)). % 64.73/64.83 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H. % 64.73/64.83 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H. % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OAss(V_vname,V_fun). % 64.73/64.83 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)). % 64.73/64.83 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_com=V_com_H. % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_fun=V_fun_H. % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_loc=V_loc_H. % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2). % 64.73/64.83 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)). % 64.73/64.83 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a). % 64.73/64.83 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,V_s1)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P),V_s,V_s1). % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 64.73/64.83 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a). % 64.73/64.83 0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a). % 64.73/64.83 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a). % 64.73/64.83 0 [] 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). % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] 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)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)). % 64.73/64.83 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|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). % 64.73/64.83 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t). % 64.73/64.83 0 [] 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)). % 64.73/64.83 0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x. % 64.73/64.83 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)). % 64.73/64.83 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a). % 64.73/64.83 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a). % 64.73/64.83 0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t). % 64.73/64.83 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)). % 64.73/64.83 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)). % 64.73/64.83 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)). % 64.73/64.83 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a). % 64.73/64.83 0 [] c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H). % 64.73/64.83 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H). % 64.73/64.83 0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s). % 64.73/64.83 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s). % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H). % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H). % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] 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. % 64.73/64.83 0 [] c_Com_OWT(c_Com_Ocom_OSKIP). % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H). % 64.73/64.83 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP. % 64.73/64.83 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H). % 64.73/64.83 0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t). % 64.73/64.83 0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t). % 64.73/64.83 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a). % 64.73/64.83 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a). % 64.73/64.83 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a). % 64.73/64.83 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_COMBI(v_P,t_a)=v_P. % 64.73/64.84 0 [] c_COMBB(v_P,v_Q,v_R,t_a,t_b,t_c)=hAPP(v_P,hAPP(v_Q,v_R)). % 64.73/64.84 0 [] c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)). % 64.73/64.84 0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,c_COMBK(c_COMBK(c_True,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b). % 64.73/64.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a). % 64.73/64.84 0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 64.73/64.84 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)). % 64.73/64.84 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)). % 64.73/64.84 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.84 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 64.73/64.84 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))). % 64.73/64.84 0 [] 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). % 64.73/64.84 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)). % 64.73/64.84 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 64.73/64.84 0 [] c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x. % 64.73/64.84 0 [] 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)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.84 0 [] 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)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a). % 64.73/64.84 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)). % 64.73/64.84 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)). % 64.73/64.84 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)). % 64.73/64.84 0 [] c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_x. % 64.73/64.84 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)| -hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)). % 64.73/64.84 0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)). % 64.73/64.84 0 [] c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 64.73/64.84 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 64.73/64.84 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a). % 64.73/64.84 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a). % 64.73/64.84 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)). % 64.73/64.84 0 [] 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)). % 64.73/64.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a. % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))). % 64.73/64.84 0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P. % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a). % 64.73/64.84 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a). % 64.73/64.84 0 [] 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)|V_fun2=V_fun2_H. % 64.73/64.84 0 [] 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)|V_com=V_com_H. % 64.73/64.84 0 [] 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)|V_fun1=V_fun1_H. % 64.73/64.84 0 [] 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)|V_b=V_c|V_b=V_d. % 64.73/64.84 0 [] 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)|V_a=V_d|V_b=V_d. % 64.73/64.84 0 [] 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)|V_b=V_c|V_a=V_c. % 64.73/64.84 0 [] 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)|V_a=V_d|V_a=V_c. % 64.73/64.84 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)). % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a). % 64.73/64.84 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)). % 64.73/64.84 0 [] 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). % 64.73/64.84 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)). % 64.73/64.84 0 [] 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). % 64.73/64.84 0 [] 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). % 64.73/64.84 0 [] 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)|V_a=V_b. % 64.73/64.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a). % 64.73/64.84 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)). % 64.73/64.84 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,c_Com_Ocom_OSKIP,v_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.84 0 [] hBOOL(hAPP(hAPP(v_Q,V_Z),V_s))| -hBOOL(hAPP(hAPP(v_P,V_Z),V_s)). % 64.73/64.84 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1). % 64.73/64.84 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 64.73/64.84 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1). % 64.73/64.84 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1). % 64.73/64.84 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1). % 64.73/64.84 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1). % 64.73/64.84 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1). % 64.73/64.84 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1). % 64.73/64.84 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1). % 64.73/64.84 0 [] class_Lattices_Oupper__semilattice(tc_nat). % 64.73/64.84 0 [] class_Orderings_Opreorder(tc_nat). % 64.73/64.84 0 [] class_Orderings_Olinorder(tc_nat). % 64.73/64.84 0 [] class_Lattices_Olattice(tc_nat). % 64.73/64.84 0 [] class_Orderings_Oorder(tc_nat). % 64.73/64.84 0 [] class_Orderings_Obot(tc_nat). % 64.73/64.84 0 [] class_HOL_Ominus(tc_nat). % 64.73/64.84 0 [] class_HOL_Oord(tc_nat). % 64.73/64.84 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool). % 64.73/64.84 0 [] class_Lattices_Oupper__semilattice(tc_bool). % 64.73/64.84 0 [] class_Lattices_Obounded__lattice(tc_bool). % 64.73/64.84 0 [] class_Orderings_Opreorder(tc_bool). % 64.73/64.84 0 [] class_Lattices_Olattice(tc_bool). % 64.73/64.84 0 [] class_Orderings_Oorder(tc_bool). % 64.73/64.84 0 [] class_Orderings_Obot(tc_bool). % 64.73/64.84 0 [] class_HOL_Ominus(tc_bool). % 64.73/64.84 0 [] class_HOL_Oord(tc_bool). % 64.73/64.84 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)). % 64.73/64.84 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)). % 64.73/64.84 end_of_list. % 64.73/64.84 % 64.73/64.84 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 64.73/64.84 % 64.73/64.84 This ia a non-Horn set with equality. The strategy will be % 64.73/64.84 Knuth-Bendix, ordered hyper_res, factoring, and unit % 64.73/64.84 deletion, with positive clauses in sos and nonpositive % 64.73/64.84 clauses in usable. % 64.73/64.84 % 64.73/64.84 dependent: set(knuth_bendix). % 64.73/64.84 dependent: set(anl_eq). % 64.73/64.84 dependent: set(para_from). % 64.73/64.84 dependent: set(para_into). % 64.73/64.84 dependent: clear(para_from_right). % 64.73/64.84 dependent: clear(para_into_right). % 64.73/64.84 dependent: set(para_from_vars). % 64.73/64.84 dependent: set(eq_units_both_ways). % 64.73/64.84 dependent: set(dynamic_demod_all). % 64.73/64.84 dependent: set(dynamic_demod). % 64.73/64.84 dependent: set(order_eq). % 64.73/64.84 dependent: set(back_demod). % 64.73/64.84 dependent: set(lrpo). % 64.73/64.84 dependent: set(hyper_res). % 64.73/64.84 dependent: set(unit_deletion). % 64.73/64.84 dependent: set(factor). % 64.73/64.84 % 64.73/64.84 ------------> process usable: % 64.73/64.84 ** KEPT (pick-wt=9): 1 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A). % 64.73/64.84 ** KEPT (pick-wt=28): 2 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D). % 64.73/64.84 ** KEPT (pick-wt=19): 3 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=8): 4 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=11): 5 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)). % 64.73/64.84 ** KEPT (pick-wt=11): 6 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)). % 64.73/64.84 ** KEPT (pick-wt=7): 7 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.84 ** KEPT (pick-wt=20): 8 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)). % 64.73/64.84 Following clause subsumed by 8 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)). % 64.73/64.84 ** KEPT (pick-wt=7): 9 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D). % 64.73/64.84 ** KEPT (pick-wt=9): 10 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 64.73/64.84 ** KEPT (pick-wt=9): 11 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A). % 64.73/64.84 ** KEPT (pick-wt=17): 12 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 64.73/64.84 Following clause subsumed by 12 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 64.73/64.84 ** KEPT (pick-wt=9): 13 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A). % 64.73/64.84 ** KEPT (pick-wt=9): 14 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A). % 64.73/64.84 Following clause subsumed by 12 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A). % 64.73/64.84 ** KEPT (pick-wt=23): 15 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 64.73/64.84 Following clause subsumed by 15 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=8): 16 [] c_Com_OWT(c_Com_Ocom_OBODY(A))| -c_Com_OWT(c_Com_Ocom_OCall(B,A,C)). % 64.73/64.84 ** KEPT (pick-wt=8): 17 [] c_Com_OWT(c_Com_Ocom_OCall(A,B,C))| -c_Com_OWT(c_Com_Ocom_OBODY(B)). % 64.73/64.84 ** KEPT (pick-wt=17): 18 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A). % 64.73/64.84 ** KEPT (pick-wt=17): 19 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A). % 64.73/64.84 ** KEPT (pick-wt=17): 20 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A). % 64.73/64.84 ** KEPT (pick-wt=17): 21 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A). % 64.73/64.84 ** KEPT (pick-wt=14): 22 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E). % 64.73/64.84 ** KEPT (pick-wt=15): 23 [] -hBOOL(hAPP(A,B))|c_Natural_Oevalc(C,B,D)| -c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E),B,D). % 64.73/64.84 ** KEPT (pick-wt=15): 24 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(B,D,E)| -hBOOL(hAPP(A,D)). % 64.73/64.84 ** KEPT (pick-wt=17): 25 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(B,F,D,E)| -c_Natural_Oevaln(A,C,D,F). % 64.73/64.84 ** KEPT (pick-wt=14): 26 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D. % 64.73/64.84 ** KEPT (pick-wt=14): 27 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C. % 64.73/64.84 ** KEPT (pick-wt=20): 28 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,D)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),E,D)| -c_Natural_Oevalc(B,C,E)| -hBOOL(hAPP(A,C)). % 64.73/64.84 ** KEPT (pick-wt=23): 29 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E)| -c_Natural_Oevaln(B,C,D,F)| -hBOOL(hAPP(A,C)). % 64.73/64.84 ** KEPT (pick-wt=6): 30 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.84 ** KEPT (pick-wt=9): 31 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)). % 64.73/64.84 ** KEPT (pick-wt=9): 32 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)). % 64.73/64.84 ** KEPT (pick-wt=17): 33 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E). % 64.73/64.84 ** KEPT (pick-wt=17): 34 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)). % 64.73/64.84 ** KEPT (pick-wt=8): 35 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.84 ** KEPT (pick-wt=8): 36 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B. % 64.73/64.84 ** KEPT (pick-wt=19): 37 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A). % 64.73/64.84 ** KEPT (pick-wt=6): 38 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C). % 64.73/64.84 ** KEPT (pick-wt=31): 39 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=31): 40 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.84 Following clause subsumed by 40 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=9): 41 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 64.73/64.84 ** KEPT (pick-wt=17): 42 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)). % 64.73/64.84 ** KEPT (pick-wt=19): 43 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)). % 64.73/64.84 ** KEPT (pick-wt=21): 44 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)). % 64.73/64.84 ** KEPT (pick-wt=9): 45 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 64.73/64.84 ** KEPT (pick-wt=7): 46 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.84 ** KEPT (pick-wt=7): 47 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D). % 64.73/64.84 ** KEPT (pick-wt=12): 48 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|C=F. % 64.73/64.84 ** KEPT (pick-wt=12): 49 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|B=E. % 64.73/64.84 ** KEPT (pick-wt=12): 50 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCall(D,E,F)|A=D. % 64.73/64.84 ** KEPT (pick-wt=6): 51 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C). % 64.73/64.84 ** KEPT (pick-wt=7): 52 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D). % 64.73/64.84 ** KEPT (pick-wt=8): 53 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=6): 54 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.84 ** KEPT (pick-wt=10): 55 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D. % 64.73/64.84 ** KEPT (pick-wt=10): 56 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C. % 64.73/64.84 ** KEPT (pick-wt=7): 57 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D). % 64.73/64.84 ** KEPT (pick-wt=15): 58 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A). % 64.73/64.84 ** KEPT (pick-wt=8): 59 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=8): 60 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=8): 61 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.84 ** KEPT (pick-wt=25): 62 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)). % 64.73/64.84 ** KEPT (pick-wt=6): 63 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C). % 64.73/64.84 ** KEPT (pick-wt=8): 64 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.84 ** KEPT (pick-wt=15): 65 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)). % 64.73/64.84 ** KEPT (pick-wt=9): 66 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 64.73/64.84 ** KEPT (pick-wt=15): 67 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)). % 64.73/64.84 ** KEPT (pick-wt=25): 68 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=8): 69 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.84 ** KEPT (pick-wt=27): 70 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)). % 64.73/64.84 ** KEPT (pick-wt=12): 71 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F. % 64.73/64.84 ** KEPT (pick-wt=12): 72 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E. % 64.73/64.84 ** KEPT (pick-wt=12): 73 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D. % 64.73/64.84 ** KEPT (pick-wt=22): 74 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A). % 64.73/64.84 ** KEPT (pick-wt=22): 75 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=22): 76 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=9): 77 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 64.73/64.84 ** KEPT (pick-wt=7): 78 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D). % 64.73/64.84 ** KEPT (pick-wt=18): 79 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A). % 64.73/64.84 ** KEPT (pick-wt=8): 80 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=17): 81 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)). % 64.73/64.84 ** KEPT (pick-wt=14): 82 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=18): 83 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=8): 84 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.84 ** KEPT (pick-wt=20): 85 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)). % 64.73/64.84 ** KEPT (pick-wt=20): 86 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 64.73/64.84 Following clause subsumed by 85 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)). % 64.73/64.84 Following clause subsumed by 86 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)). % 64.73/64.84 ** KEPT (pick-wt=23): 87 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)). % 64.73/64.84 Following clause subsumed by 87 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)). % 64.73/64.84 ** KEPT (pick-wt=19): 88 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A). % 64.73/64.84 ** KEPT (pick-wt=8): 89 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.84 ** KEPT (pick-wt=23): 90 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E). % 64.73/64.84 ** KEPT (pick-wt=23): 91 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E). % 64.73/64.84 ** KEPT (pick-wt=11): 92 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A). % 64.73/64.84 ** KEPT (pick-wt=11): 93 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A). % 64.73/64.84 ** KEPT (pick-wt=8): 94 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B. % 64.73/64.84 ** KEPT (pick-wt=10): 95 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C. % 64.73/64.84 ** KEPT (pick-wt=10): 96 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D. % 64.73/64.84 ** KEPT (pick-wt=6): 97 [] c_Com_OWT(c_Com_Ocom_OWhile(A,B))| -c_Com_OWT(B). % 64.73/64.84 ** KEPT (pick-wt=6): 98 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OWhile(B,A)). % 64.73/64.84 ** KEPT (pick-wt=14): 99 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A). % 64.73/64.84 ** KEPT (pick-wt=14): 100 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A). % 64.73/64.84 ** KEPT (pick-wt=7): 101 [] c_Com_OWT(c_Com_Ocom_OLocal(A,B,C))| -c_Com_OWT(C). % 64.73/64.84 ** KEPT (pick-wt=7): 102 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OLocal(B,C,A)). % 64.73/64.84 ** KEPT (pick-wt=21): 103 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)). % 64.73/64.84 Following clause subsumed by 103 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)). % 64.73/64.84 ** KEPT (pick-wt=8): 104 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=8): 105 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.84 ** KEPT (pick-wt=8): 106 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.84 ** KEPT (pick-wt=22): 107 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=22): 108 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=9): 109 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C). % 64.73/64.84 Following clause subsumed by 109 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C). % 64.73/64.84 ** KEPT (pick-wt=16): 110 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)). % 64.73/64.84 ** KEPT (pick-wt=45): 111 [] c_Hoare__Mirabelle_Ohoare__valids(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OWhile(C,D),c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),E),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__valids(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,E),D,B,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E). % 64.73/64.84 ** KEPT (pick-wt=9): 112 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B. % 64.73/64.84 ** KEPT (pick-wt=9): 113 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B. % 64.73/64.84 ** KEPT (pick-wt=7): 114 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A). % 64.73/64.84 ** KEPT (pick-wt=13): 115 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A). % 64.73/64.84 ** KEPT (pick-wt=13): 116 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A). % 64.73/64.84 ** KEPT (pick-wt=18): 117 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B). % 64.73/64.84 ** KEPT (pick-wt=18): 118 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B). % 64.73/64.84 ** KEPT (pick-wt=12): 119 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)). % 64.73/64.84 ** KEPT (pick-wt=8): 120 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)). % 64.73/64.84 Following clause subsumed by 120 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)). % 64.73/64.84 Following clause subsumed by 120 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)). % 64.73/64.84 Following clause subsumed by 120 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)). % 64.73/64.84 ** KEPT (pick-wt=15): 121 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=12): 122 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)). % 64.73/64.84 ** KEPT (pick-wt=10): 123 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)). % 64.73/64.84 Following clause subsumed by 120 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)). % 64.73/64.84 ** KEPT (pick-wt=17): 124 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=17): 125 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=22): 126 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(c_in(A,B,C)). % 64.73/64.84 ** KEPT (pick-wt=19): 127 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A). % 64.73/64.84 ** KEPT (pick-wt=32): 128 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=18): 129 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=13): 130 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)). % 64.73/64.84 Following clause subsumed by 130 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)). % 64.73/64.84 ** KEPT (pick-wt=24): 131 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D). % 64.73/64.84 ** KEPT (pick-wt=24): 132 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D). % 64.73/64.84 ** KEPT (pick-wt=16): 133 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)). % 64.73/64.84 ** KEPT (pick-wt=15): 134 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=15): 135 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)). % 64.73/64.84 ** KEPT (pick-wt=22): 136 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D. % 64.73/64.84 ** KEPT (pick-wt=11): 137 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)). % 64.73/64.84 ** KEPT (pick-wt=5): 139 [copy,138,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.84 ** KEPT (pick-wt=5): 140 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.84 ** KEPT (pick-wt=4): 141 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP. % 64.73/64.84 ** KEPT (pick-wt=13): 142 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)). % 64.73/64.84 ** KEPT (pick-wt=13): 143 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)). % 64.73/64.84 ** KEPT (pick-wt=9): 144 [] c_Com_OWT(c_Com_Ocom_OCond(A,B,C))| -c_Com_OWT(C)| -c_Com_OWT(B). % 64.73/64.84 ** KEPT (pick-wt=20): 145 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)). % 64.73/64.84 ** KEPT (pick-wt=7): 146 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.84 ** KEPT (pick-wt=7): 147 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D). % 64.73/64.84 ** KEPT (pick-wt=8): 148 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.85 ** KEPT (pick-wt=25): 149 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)). % 64.73/64.85 ** KEPT (pick-wt=8): 150 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.85 ** KEPT (pick-wt=28): 151 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=17): 152 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D). % 64.73/64.85 ** KEPT (pick-wt=17): 153 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)). % 64.73/64.85 ** KEPT (pick-wt=8): 154 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.85 ** KEPT (pick-wt=7): 155 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D). % 64.73/64.85 ** KEPT (pick-wt=15): 156 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=11): 157 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B). % 64.73/64.85 Following clause subsumed by 156 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=13): 158 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 64.73/64.85 Following clause subsumed by 158 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A). % 64.73/64.85 Following clause subsumed by 158 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A). % 64.73/64.85 ** KEPT (pick-wt=12): 159 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A). % 64.73/64.85 ** KEPT (pick-wt=12): 160 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=12): 161 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=14): 162 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=14): 163 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=14): 164 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=15): 165 [] c_Natural_Oevalc(A,B,C)|hBOOL(hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A),B,C). % 64.73/64.85 ** KEPT (pick-wt=15): 166 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(C,D,E)|hBOOL(hAPP(A,D)). % 64.73/64.85 ** KEPT (pick-wt=6): 167 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)). % 64.73/64.85 ** KEPT (pick-wt=6): 168 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)). % 64.73/64.85 ** KEPT (pick-wt=7): 169 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D). % 64.73/64.85 ** KEPT (pick-wt=13): 170 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)). % 64.73/64.85 ** KEPT (pick-wt=15): 171 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=15): 172 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=28): 173 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=10): 174 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D. % 64.73/64.85 ** KEPT (pick-wt=10): 175 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C. % 64.73/64.85 ** KEPT (pick-wt=8): 176 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.85 ** KEPT (pick-wt=20): 177 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)). % 64.73/64.85 ** KEPT (pick-wt=12): 178 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F. % 64.73/64.85 ** KEPT (pick-wt=12): 179 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E. % 64.73/64.85 ** KEPT (pick-wt=12): 180 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D. % 64.73/64.85 ** KEPT (pick-wt=8): 181 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A). % 64.73/64.85 ** KEPT (pick-wt=7): 182 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D). % 64.73/64.85 ** KEPT (pick-wt=15): 183 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)). % 64.73/64.85 ** KEPT (pick-wt=15): 184 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)). % 64.73/64.85 ** KEPT (pick-wt=13): 185 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D),B,C). % 64.73/64.85 ** KEPT (pick-wt=13): 186 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A). % 64.73/64.85 ** KEPT (pick-wt=13): 187 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A). % 64.73/64.85 ** KEPT (pick-wt=13): 188 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A). % 64.73/64.85 ** KEPT (pick-wt=13): 189 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A). % 64.73/64.85 Following clause subsumed by 186 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A). % 64.73/64.85 Following clause subsumed by 187 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A). % 64.73/64.85 ** KEPT (pick-wt=17): 190 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=17): 191 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=12): 192 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C). % 64.73/64.85 ** KEPT (pick-wt=12): 193 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C). % 64.73/64.85 ** KEPT (pick-wt=14): 194 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A). % 64.73/64.85 ** KEPT (pick-wt=14): 195 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A). % 64.73/64.85 ** KEPT (pick-wt=16): 196 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 64.73/64.85 Following clause subsumed by 196 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 64.73/64.85 Following clause subsumed by 196 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)). % 64.73/64.85 Following clause subsumed by 196 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=18): 197 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=14): 198 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=6): 199 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A). % 64.73/64.85 ** KEPT (pick-wt=6): 200 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A). % 64.73/64.85 Following clause subsumed by 198 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)). % 64.73/64.85 ** KEPT (pick-wt=15): 201 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=15): 202 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=6): 203 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.85 ** KEPT (pick-wt=24): 204 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)). % 64.73/64.85 ** KEPT (pick-wt=28): 205 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F). % 64.73/64.85 ** KEPT (pick-wt=14): 206 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C). % 64.73/64.85 ** KEPT (pick-wt=25): 207 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=19): 208 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A). % 64.73/64.85 ** KEPT (pick-wt=19): 209 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A). % 64.73/64.85 ** KEPT (pick-wt=18): 210 [] c_Natural_Oevaln(A,B,C,D)|c_Natural_Oevaln(E,B,C,D)| -c_Natural_Oevaln(c_Com_Ocom_OCond(F,E,A),B,C,D). % 64.73/64.85 ** KEPT (pick-wt=9): 211 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 64.73/64.85 ** KEPT (pick-wt=15): 212 [] c_Natural_Oevalc(A,B,C)|c_Natural_Oevalc(D,B,C)| -c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A),B,C). % 64.73/64.85 ** KEPT (pick-wt=13): 213 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)). % 64.73/64.85 ** KEPT (pick-wt=7): 214 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,C,A)). % 64.73/64.85 ** KEPT (pick-wt=7): 215 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OCond(B,A,C)). % 64.73/64.85 ** KEPT (pick-wt=10): 216 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A). % 64.73/64.85 ** KEPT (pick-wt=6): 217 [] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 217 during input processing: 0 [flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 139 during input processing: 0 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 140 during input processing: 0 [flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.85 ** KEPT (pick-wt=6): 218 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 218 during input processing: 0 [flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 ** KEPT (pick-wt=5): 220 [copy,219,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 220 during input processing: 0 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP. % 64.73/64.85 ** KEPT (pick-wt=6): 222 [copy,221,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 222 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP. % 64.73/64.85 Following clause subsumed by 141 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP. % 64.73/64.85 ** KEPT (pick-wt=8): 223 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A). % 64.73/64.85 ** KEPT (pick-wt=7): 224 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A). % 64.73/64.85 ** KEPT (pick-wt=15): 225 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C). % 64.73/64.85 ** KEPT (pick-wt=15): 226 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C). % 64.73/64.85 ** KEPT (pick-wt=8): 227 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C). % 64.73/64.85 ** KEPT (pick-wt=11): 228 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=59): 229 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),C,c_COMBK(hAPP(D,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=45): 230 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OWhile(C,D),c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),E),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,E),D,B,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E). % 64.73/64.85 ** KEPT (pick-wt=45): 231 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),A,tc_Hoare__Mirabelle_Otriple(E)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(c_Com_Obody(C),tc_Com_Ocom),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E). % 64.73/64.85 ** KEPT (pick-wt=36): 232 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(c_Com_Obody(C),tc_Com_Ocom),D,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool)),tc_Hoare__Mirabelle_Otriple(E)),E). % 64.73/64.85 ** KEPT (pick-wt=62): 233 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OCond(C,D,E),F,G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool)),tc_Hoare__Mirabelle_Otriple(G)),G)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),G),E,F,G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool)),tc_Hoare__Mirabelle_Otriple(G)),G)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,G),D,F,G),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool)),tc_Hoare__Mirabelle_Otriple(G)),G). % 64.73/64.85 ** KEPT (pick-wt=11): 234 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A). % 64.73/64.85 ** KEPT (pick-wt=11): 235 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A). % 64.73/64.85 ** KEPT (pick-wt=27): 236 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=21): 237 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C). % 64.73/64.85 ** KEPT (pick-wt=21): 238 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C). % 64.73/64.85 ** KEPT (pick-wt=13): 239 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 64.73/64.85 ** KEPT (pick-wt=13): 240 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 64.73/64.85 ** KEPT (pick-wt=28): 241 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D). % 64.73/64.85 ** KEPT (pick-wt=28): 242 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D). % 64.73/64.85 ** KEPT (pick-wt=16): 243 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D),B)). % 64.73/64.85 ** KEPT (pick-wt=21): 244 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)| -hBOOL(hAPP(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),A)). % 64.73/64.85 ** KEPT (pick-wt=14): 245 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)). % 64.73/64.85 ** KEPT (pick-wt=13): 246 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 64.73/64.85 ** KEPT (pick-wt=14): 248 [copy,247,flip.2] -class_Orderings_Oorder(A)|c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A). % 64.73/64.85 ** KEPT (pick-wt=14): 249 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)). % 64.73/64.85 ** KEPT (pick-wt=13): 250 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B. % 64.73/64.85 ** KEPT (pick-wt=54): 251 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=52): 252 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=54): 253 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=48): 254 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=42): 255 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=46): 256 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=42): 257 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=48): 258 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=42): 259 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=46): 260 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=42): 261 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=50): 262 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSemi(C,D),E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,D,E,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,G,F),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(F),tc_bool)),tc_Hoare__Mirabelle_Otriple(F)),F). % 64.73/64.85 ** KEPT (pick-wt=24): 263 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D). % 64.73/64.85 ** KEPT (pick-wt=12): 264 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C). % 64.73/64.85 ** KEPT (pick-wt=12): 265 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C). % 64.73/64.85 ** KEPT (pick-wt=9): 266 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 64.73/64.85 ** KEPT (pick-wt=14): 267 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G. % 64.73/64.85 ** KEPT (pick-wt=14): 268 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F. % 64.73/64.85 ** KEPT (pick-wt=14): 269 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E. % 64.73/64.85 ** KEPT (pick-wt=27): 270 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E. % 64.73/64.85 ** KEPT (pick-wt=27): 271 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E. % 64.73/64.85 ** KEPT (pick-wt=27): 272 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D. % 64.73/64.85 ** KEPT (pick-wt=27): 273 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D. % 64.73/64.85 ** KEPT (pick-wt=7): 274 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)). % 64.73/64.85 ** KEPT (pick-wt=14): 275 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)). % 64.73/64.85 ** KEPT (pick-wt=9): 276 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 64.73/64.85 ** KEPT (pick-wt=18): 277 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C. % 64.73/64.85 ** KEPT (pick-wt=20): 278 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C). % 64.73/64.85 ** KEPT (pick-wt=11): 279 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)). % 64.73/64.85 ** KEPT (pick-wt=16): 280 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,c_Com_Ocom_OSKIP,v_Q_H,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a). % 64.73/64.85 ** KEPT (pick-wt=12): 281 [] hBOOL(hAPP(hAPP(v_Q,A),B))| -hBOOL(hAPP(hAPP(v_P,A),B)). % 64.73/64.85 ** KEPT (pick-wt=6): 282 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B). % 64.73/64.85 ** KEPT (pick-wt=6): 283 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 64.73/64.85 ** KEPT (pick-wt=6): 284 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B). % 64.73/64.86 ** KEPT (pick-wt=6): 285 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B). % 64.73/64.86 ** KEPT (pick-wt=6): 286 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B). % 64.73/64.86 ** KEPT (pick-wt=6): 287 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B). % 64.73/64.86 ** KEPT (pick-wt=6): 288 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B). % 64.73/64.86 ** KEPT (pick-wt=6): 289 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B). % 64.73/64.86 ** KEPT (pick-wt=6): 290 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B). % 64.73/64.86 ** KEPT (pick-wt=10): 291 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)). % 64.73/64.86 Following clause subsumed by 176 during input processing: 0 [copy,4,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.86 Following clause subsumed by 52 during input processing: 0 [copy,7,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D). % 64.73/64.86 Following clause subsumed by 46 during input processing: 0 [copy,9,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.86 Following clause subsumed by 211 during input processing: 0 [copy,10,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 64.73/64.86 Following clause subsumed by 38 during input processing: 0 [copy,30,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C). % 64.73/64.86 Following clause subsumed by 105 during input processing: 0 [copy,35,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.86 Following clause subsumed by 30 during input processing: 0 [copy,38,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.86 Following clause subsumed by 77 during input processing: 0 [copy,41,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 64.73/64.86 Following clause subsumed by 66 during input processing: 0 [copy,45,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 64.73/64.86 Following clause subsumed by 9 during input processing: 0 [copy,46,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D). % 64.73/64.86 Following clause subsumed by 155 during input processing: 0 [copy,47,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D). % 64.73/64.86 Following clause subsumed by 203 during input processing: 0 [copy,51,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.86 Following clause subsumed by 7 during input processing: 0 [copy,52,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.86 Following clause subsumed by 148 during input processing: 0 [copy,53,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.86 Following clause subsumed by 63 during input processing: 0 [copy,54,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C). % 64.73/64.86 Following clause subsumed by 182 during input processing: 0 [copy,57,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D). % 64.73/64.86 Following clause subsumed by 69 during input processing: 0 [copy,59,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.86 Following clause subsumed by 89 during input processing: 0 [copy,60,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.86 Following clause subsumed by 80 during input processing: 0 [copy,61,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.86 Following clause subsumed by 54 during input processing: 0 [copy,63,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C). % 64.73/64.86 Following clause subsumed by 104 during input processing: 0 [copy,64,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.86 Following clause subsumed by 45 during input processing: 0 [copy,66,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F). % 64.73/64.86 Following clause subsumed by 59 during input processing: 0 [copy,69,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.86 Following clause subsumed by 41 during input processing: 0 [copy,77,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F). % 64.73/64.86 Following clause subsumed by 169 during input processing: 0 [copy,78,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D). % 64.73/64.86 Following clause subsumed by 61 during input processing: 0 [copy,80,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.86 Following clause subsumed by 154 during input processing: 0 [copy,84,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.86 Following clause subsumed by 60 during input processing: 0 [copy,89,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.86 Following clause subsumed by 64 during input processing: 0 [copy,104,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.86 Following clause subsumed by 35 during input processing: 0 [copy,105,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E). % 64.73/64.86 Following clause subsumed by 150 during input processing: 0 [copy,106,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E). % 64.73/64.86 134 back subsumes 128. % 64.73/64.86 134 back subsumes 85. % 64.73/64.86 Following clause subsumed by 147 during input processing: 0 [copy,146,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D). % 64.73/64.86 Following clause subsumed by 146 during input processing: 0 [copy,147,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D). % 64.73/64.86 Following clause subsumed by 53 during input processing: 0 [copy,148,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E). % 64.73/64.86 Following clause subsumed by 106 during input processing: 0 [copy,150,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E). % 64.73/64.86 Following clause subsumed by 84 during input processing: 0 [copy,154,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E). % 64.73/64.86 Following clause subsumed by 47 during input processing: 0 [copy,155,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D). % 64.73/64.86 Following clause subsumed by 78 during input processing: 0 [copy,169,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D). % 64.73/64.86 Following clause subsumed by 4 during input processing: 0 [copy,176,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E). % 64.73/64.86 Following clause subsumed by 57 during input processing: 0 [copy,182,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D). % 64.73/64.86 Following clause subsumed by 51 during input processing: 0 [copy,203,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C). % 64.73/64.86 Following clause subsumed by 10 during input processing: 0 [copy,211,flip.1] c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F). % 64.73/64.86 Following clause subsumed by 276 during input processing: 0 [copy,266,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 64.73/64.86 Following clause subsumed by 266 during input processing: 0 [copy,276,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A). % 64.73/64.86 276 back subsumes 249. % 64.73/64.86 % 64.73/64.86 ------------> process sos: % 64.73/64.86 ** KEPT (pick-wt=3): 318 [] A=A. % 64.73/64.86 ** KEPT (pick-wt=11): 319 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=11): 320 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=11): 321 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=23): 322 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 323 [new_demod,322] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=23): 324 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=4): 325 [] c_Com_OWT(c_Com_Ocom_OAss(A,B)). % 64.73/64.86 ** KEPT (pick-wt=19): 326 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J). % 64.73/64.86 ** KEPT (pick-wt=18): 327 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 328 [new_demod,327] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=15): 329 [] c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)). % 64.73/64.86 ** KEPT (pick-wt=8): 330 [] hAPP(c_COMBK(A,B,C),D)=A. % 64.73/64.86 ---> New Demodulator: 331 [new_demod,330] hAPP(c_COMBK(A,B,C),D)=A. % 64.73/64.86 ** KEPT (pick-wt=5): 332 [] c_COMBI(A,B)=A. % 64.73/64.86 ---> New Demodulator: 333 [new_demod,332] c_COMBI(A,B)=A. % 64.73/64.86 ** KEPT (pick-wt=15): 334 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E). % 64.73/64.86 ** KEPT (pick-wt=13): 335 [] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)). % 64.73/64.86 ** KEPT (pick-wt=17): 336 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A. % 64.73/64.86 ---> New Demodulator: 337 [new_demod,336] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A. % 64.73/64.86 ** KEPT (pick-wt=22): 338 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K). % 64.73/64.86 ** KEPT (pick-wt=8): 339 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A. % 64.73/64.86 ---> New Demodulator: 340 [new_demod,339] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A. % 64.73/64.86 ** KEPT (pick-wt=11): 341 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)). % 64.73/64.86 ** KEPT (pick-wt=11): 343 [copy,342,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C). % 64.73/64.86 ---> New Demodulator: 344 [new_demod,343] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C). % 64.73/64.86 ** KEPT (pick-wt=34): 346 [copy,345,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L). % 64.73/64.86 ---> New Demodulator: 347 [new_demod,346] hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L). % 64.73/64.86 ** KEPT (pick-wt=43): 349 [copy,348,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K). % 64.73/64.86 ---> New Demodulator: 350 [new_demod,349] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,B,K)),c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K). % 64.73/64.86 ** KEPT (pick-wt=10): 351 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,C)|hBOOL(hAPP(A,C)). % 64.73/64.86 ** KEPT (pick-wt=5): 352 [] c_Collect(A,B)=A. % 64.73/64.86 ---> New Demodulator: 353 [new_demod,352] c_Collect(A,B)=A. % 64.73/64.86 ** KEPT (pick-wt=13): 354 [] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A. % 64.73/64.86 ---> New Demodulator: 355 [new_demod,354] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A. % 64.73/64.86 ** KEPT (pick-wt=12): 356 [] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B. % 64.73/64.86 ---> New Demodulator: 357 [new_demod,356] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B. % 64.73/64.86 ** KEPT (pick-wt=14): 358 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 64.73/64.86 ---> New Demodulator: 359 [new_demod,358] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)). % 64.73/64.86 Following clause subsumed by 318 during input processing: 0 [demod,359] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)). % 64.73/64.86 ** KEPT (pick-wt=20): 360 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=18): 361 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 362 [new_demod,361] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=18): 363 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 364 [new_demod,363] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=20): 365 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=28): 367 [copy,366,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 368 [new_demod,367] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=19): 369 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J). % 64.73/64.86 ** KEPT (pick-wt=18): 371 [copy,370,demod,353] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fe_qual(C),C,C,tc_bool),A),B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=13): 372 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=22): 373 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K). % 64.73/64.86 ** KEPT (pick-wt=18): 374 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ---> New Demodulator: 375 [new_demod,374] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=16): 376 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I). % 64.73/64.86 ** KEPT (pick-wt=19): 377 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J). % 64.73/64.86 ** KEPT (pick-wt=24): 379 [copy,378,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(c_in(A,C,D)). % 64.73/64.86 ** KEPT (pick-wt=31): 381 [copy,380,flip.1] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K). % 64.73/64.86 ---> New Demodulator: 382 [new_demod,381] hAPP(hAPP(hAPP(A,B),C),c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,C,K))=c_Com_Ocom_Ocom__rec(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K). % 64.73/64.86 ** KEPT (pick-wt=46): 384 [copy,383,flip.1] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L). % 64.73/64.86 ---> New Demodulator: 385 [new_demod,384] hAPP(hAPP(hAPP(hAPP(hAPP(A,B),C),D),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,C,L)),c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,D,L))=c_Com_Ocom_Ocom__rec(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L). % 64.73/64.86 Following clause subsumed by 318 during input processing: 0 [demod,340] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=12): 386 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=14): 387 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 64.73/64.86 ---> New Demodulator: 388 [new_demod,387] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=11): 389 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 64.73/64.86 ---> New Demodulator: 390 [new_demod,389] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 64.73/64.86 ** KEPT (pick-wt=11): 391 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B. % 64.73/64.86 ---> New Demodulator: 392 [new_demod,391] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B. % 64.73/64.86 ** KEPT (pick-wt=11): 393 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=11): 394 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 64.73/64.86 ---> New Demodulator: 395 [new_demod,394] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A. % 64.73/64.86 ** KEPT (pick-wt=9): 396 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=16): 398 [copy,397,demod,353] hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A). % 64.73/64.86 ---> New Demodulator: 399 [new_demod,398] hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A). % 64.73/64.86 ** KEPT (pick-wt=22): 400 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(c_in(A,B,C)). % 64.73/64.86 ** KEPT (pick-wt=9): 401 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=19): 403 [copy,402,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)). % 64.73/64.86 ---> New Demodulator: 404 [new_demod,403] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=19): 406 [copy,405,demod,404] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=8): 407 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)). % 64.73/64.86 Following clause subsumed by 407 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)). % 64.73/64.86 Following clause subsumed by 407 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)). % 64.73/64.86 ** KEPT (pick-wt=17): 408 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D. % 64.73/64.86 ---> New Demodulator: 409 [new_demod,408] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D. % 64.73/64.86 ** KEPT (pick-wt=17): 410 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A. % 64.73/64.86 ---> New Demodulator: 411 [new_demod,410] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A. % 64.73/64.86 ** KEPT (pick-wt=9): 413 [copy,412,demod,353] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A). % 64.73/64.86 ---> New Demodulator: 414 [new_demod,413] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A). % 64.73/64.86 ** KEPT (pick-wt=9): 416 [copy,415,demod,414,331,414,flip.1] c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a)=c_False. % 64.73/64.86 ---> New Demodulator: 417 [new_demod,416] c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a)=c_False. % 64.73/64.86 ** KEPT (pick-wt=25): 418 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=22): 419 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K). % 64.73/64.86 ** KEPT (pick-wt=19): 420 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J). % 64.73/64.86 ** KEPT (pick-wt=23): 422 [copy,421,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G). % 64.73/64.86 ---> New Demodulator: 423 [new_demod,422] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G). % 64.73/64.86 Following clause subsumed by 318 during input processing: 0 [demod,359] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)). % 64.73/64.86 ** KEPT (pick-wt=20): 425 [copy,424,demod,414,414] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_COMBK(c_False,tc_bool,B),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B). % 64.73/64.86 ---> New Demodulator: 426 [new_demod,425] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_COMBK(c_False,tc_bool,B),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B). % 64.73/64.86 ** KEPT (pick-wt=6): 427 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 64.73/64.86 Following clause subsumed by 427 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=16): 428 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I). % 64.73/64.86 ** KEPT (pick-wt=22): 429 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K). % 64.73/64.86 ** KEPT (pick-wt=31): 430 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=8): 431 [] c_The(hAPP(c_fe_qual(A),B),A)=B. % 64.73/64.86 ---> New Demodulator: 432 [new_demod,431] c_The(hAPP(c_fe_qual(A),B),A)=B. % 64.73/64.86 ** KEPT (pick-wt=5): 433 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A). % 64.73/64.86 ** KEPT (pick-wt=4): 434 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,A,A). % 64.73/64.86 ** KEPT (pick-wt=13): 435 [] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 64.73/64.86 ---> New Demodulator: 436 [new_demod,435] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 64.73/64.86 ** KEPT (pick-wt=13): 437 [] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 64.73/64.86 ---> New Demodulator: 438 [new_demod,437] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OSKIP,I)=A. % 64.73/64.86 ** KEPT (pick-wt=2): 439 [] c_Com_OWT(c_Com_Ocom_OSKIP). % 64.73/64.86 Following clause subsumed by 318 during input processing: 0 [demod,333] v_P=v_P. % 64.73/64.86 ** KEPT (pick-wt=13): 441 [copy,440,flip.1] hAPP(v_P,hAPP(v_Q,v_R))=c_COMBB(v_P,v_Q,v_R,t_a,t_b,t_c). % 64.73/64.86 ---> New Demodulator: 442 [new_demod,441] hAPP(v_P,hAPP(v_Q,v_R))=c_COMBB(v_P,v_Q,v_R,t_a,t_b,t_c). % 64.73/64.86 ** KEPT (pick-wt=15): 444 [copy,443,flip.1] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c). % 64.73/64.86 ---> New Demodulator: 445 [new_demod,444] hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R))=c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c). % 64.73/64.86 Following clause subsumed by 334 during input processing: 0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q). % 64.73/64.86 ** KEPT (pick-wt=24): 447 [copy,446,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,c_COMBK(c_COMBK(c_True,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),D),D),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(D)),tc_Hoare__Mirabelle_Otriple(D)),D). % 64.73/64.86 ** KEPT (pick-wt=24): 449 [copy,448,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B)),tc_Hoare__Mirabelle_Otriple(B)),B). % 64.73/64.86 ** KEPT (pick-wt=12): 451 [copy,450,demod,353,414] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,A),A). % 64.73/64.86 ---> New Demodulator: 452 [new_demod,451] hAPP(c_fe_qual(A),B)=c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,A),A). % 64.73/64.86 Following clause subsumed by 407 during input processing: 0 [demod,414] hBOOL(c_in(A,c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B)). % 64.73/64.86 ** KEPT (pick-wt=18): 454 [copy,453,demod,414,414] hBOOL(hAPP(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B))). % 64.73/64.86 ** KEPT (pick-wt=21): 456 [copy,455,demod,414,414] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,B),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,D),D). % 64.73/64.86 ---> New Demodulator: 457 [new_demod,456] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,B),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,D),D). % 64.73/64.86 ** KEPT (pick-wt=13): 459 [copy,458,demod,414] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,C),C),C),B)). % 64.73/64.86 ** KEPT (pick-wt=11): 461 [copy,460,demod,414] c_The(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B)=A. % 64.73/64.86 ---> New Demodulator: 462 [new_demod,461] c_The(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B)=A. % 64.73/64.86 ** KEPT (pick-wt=27): 464 [copy,463,demod,414] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,D),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=27): 466 [copy,465,demod,414] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,D),D),tc_fun(D,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=11): 468 [copy,467,demod,414] c_Set_Ocontents(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B)=A. % 64.73/64.86 ---> New Demodulator: 469 [new_demod,468] c_Set_Ocontents(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),B)=A. % 64.73/64.86 ** KEPT (pick-wt=12): 471 [copy,470,demod,414] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,C),C),C)=B. % 64.73/64.86 ---> New Demodulator: 472 [new_demod,471] c_Finite__Set_Ofold1(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,C),C),C)=B. % 64.73/64.86 ** KEPT (pick-wt=20): 474 [copy,473,demod,414] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,C),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C). % 64.73/64.86 ---> New Demodulator: 475 [new_demod,474] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,C),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C). % 64.73/64.86 ** KEPT (pick-wt=17): 477 [copy,476,demod,414] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,C),C),B,tc_fun(C,tc_bool)). % 64.73/64.86 ** KEPT (pick-wt=30): 479 [copy,478,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))). % 64.73/64.86 ** KEPT (pick-wt=30): 481 [copy,480,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))). % 64.73/64.86 ** KEPT (pick-wt=30): 483 [copy,482,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))). % 64.73/64.86 Following clause subsumed by 318 during input processing: 0 [demod,331] v_P=v_P. % 64.73/64.86 ** KEPT (pick-wt=7): 484 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)). % 64.73/64.86 ** KEPT (pick-wt=16): 486 [copy,485,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,B,C),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(C)),tc_Hoare__Mirabelle_Otriple(C)),C). % 64.73/64.86 ** KEPT (pick-wt=8): 488 [copy,487,demod,414] c_Hoare__Mirabelle_Ohoare__derivs(A,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B)),B). % 64.79/64.86 ** KEPT (pick-wt=12): 489 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 64.79/64.86 ---> New Demodulator: 490 [new_demod,489] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C). % 64.79/64.86 ** KEPT (pick-wt=15): 491 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 64.79/64.86 Following clause subsumed by 491 during input processing: 0 [demod,414,414] c_Set_Oinsert(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,C),C),C). % 64.79/64.86 ** KEPT (pick-wt=2): 492 [] class_Lattices_Oupper__semilattice(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 493 [] class_Orderings_Opreorder(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 494 [] class_Orderings_Olinorder(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 495 [] class_Lattices_Olattice(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 496 [] class_Orderings_Oorder(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 497 [] class_Orderings_Obot(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 498 [] class_HOL_Ominus(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 499 [] class_HOL_Oord(tc_nat). % 64.79/64.86 ** KEPT (pick-wt=2): 500 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 501 [] class_Lattices_Oupper__semilattice(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 502 [] class_Lattices_Obounded__lattice(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 503 [] class_Orderings_Opreorder(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 504 [] class_Lattices_Olattice(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 505 [] class_Orderings_Oorder(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 506 [] class_Orderings_Obot(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 507 [] class_HOL_Ominus(tc_bool). % 64.79/64.86 ** KEPT (pick-wt=2): 508 [] class_HOL_Oord(tc_bool). % 64.79/64.86 Following clause subsumed by 484 during input processing: 0 [demod,452] hBOOL(hAPP(c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,A),A),B)). % 64.79/64.86 Following clause subsumed by 318 during input processing: 0 [copy,318,flip.1] A=A. % 64.79/64.86 318 back subsumes 305. % 64.79/64.86 318 back subsumes 304. % 64.79/64.86 318 back subsumes 303. % 64.79/64.86 318 back subsumes 299. % 64.79/64.86 >>>> Starting back demodulation with 323. % 64.79/64.86 Following clause subsumed by 324 during input processing: 0 [copy,324,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)). % 64.79/64.86 ** KEPT (pick-wt=19): 509 [copy,326,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K). % 64.79/64.86 >>>> Starting back demodulation with 328. % 64.79/64.86 ** KEPT (pick-wt=15): 510 [copy,329,flip.1] hAPP(hAPP(A,B),hAPP(C,B))=c_COMBS(A,C,B,D,E,F). % 64.79/64.86 >>>> Starting back demodulation with 331. % 64.79/64.86 >>>> Starting back demodulation with 333. % 64.79/64.86 ** KEPT (pick-wt=15): 511 [copy,334,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B). % 64.79/64.86 ** KEPT (pick-wt=13): 512 [copy,335,flip.1] hAPP(A,hAPP(B,C))=c_COMBB(A,B,C,D,E,F). % 64.79/64.86 >>>> Starting back demodulation with 337. % 64.79/64.86 ** KEPT (pick-wt=22): 513 [copy,338,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L). % 64.79/64.86 >>>> Starting back demodulation with 340. % 64.79/64.86 >> back demodulating 306 with 340. % 64.79/64.86 >> back demodulating 301 with 340. % 64.79/64.86 >> back demodulating 297 with 340. % 64.79/64.86 >> back demodulating 293 with 340. % 64.79/64.86 >>>> Starting back demodulation with 344. % 64.79/64.86 >>>> Starting back demodulation with 347. % 64.79/64.86 >>>> Starting back demodulation with 350. % 64.79/64.86 >>>> Starting back demodulation with 353. % 64.79/64.86 >> back demodulating 122 with 353. % 64.79/64.86 >> back demodulating 119 with 353. % 64.79/64.86 >> back demodulating 6 with 353. % 64.79/64.86 >> back demodulating 5 with 353. % 64.79/64.86 >>>> Starting back demodulation with 355. % 64.79/64.86 >>>> Starting back demodulation with 357. % 64.79/64.86 >>>> Starting back demodulation with 359. % 64.79/64.86 >> back demodulating 354 with 359. % 64.79/64.86 >> back demodulating 205 with 359. % 64.79/64.86 >>>> Starting back demodulation with 362. % 64.79/64.86 >>>> Starting back demodulation with 364. % 64.79/64.86 >> back demodulating 3 with 364. % 64.79/64.86 ** KEPT (pick-wt=20): 516 [copy,365,flip.1,demod,414,414,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,A),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_COMBK(c_False,tc_bool,C). % 64.79/64.87 ---> New Demodulator: 517 [new_demod,516] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,A),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_COMBK(c_False,tc_bool,C). % 64.79/64.87 >>>> Starting back demodulation with 368. % 64.79/64.87 ** KEPT (pick-wt=19): 518 [copy,369,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,A,G,H,I,J,c_Com_Ocom_OSemi(B,C),K). % 64.79/64.87 ** KEPT (pick-wt=17): 519 [copy,371,flip.1,demod,399,414] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B). % 64.79/64.87 Following clause subsumed by 372 during input processing: 0 [copy,372,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)). % 64.79/64.87 ** KEPT (pick-wt=22): 520 [copy,373,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__rec(E,F,G,H,I,J,K,A,c_Com_Ocom_OCall(B,C,D),L). % 64.79/64.87 >>>> Starting back demodulation with 375. % 64.79/64.87 ** KEPT (pick-wt=16): 521 [copy,376,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__case(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J). % 64.79/64.87 ** KEPT (pick-wt=19): 522 [copy,377,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__rec(D,A,E,F,G,H,I,J,c_Com_Ocom_OAss(B,C),K). % 64.79/64.87 >>>> Starting back demodulation with 382. % 64.79/64.87 >>>> Starting back demodulation with 385. % 64.79/64.87 >>>> Starting back demodulation with 388. % 64.79/64.87 >>>> Starting back demodulation with 390. % 64.79/64.87 >>>> Starting back demodulation with 392. % 64.79/64.87 ** KEPT (pick-wt=11): 523 [copy,393,flip.1,demod,414,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B). % 64.79/64.87 ---> New Demodulator: 524 [new_demod,523] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B). % 64.79/64.87 >>>> Starting back demodulation with 395. % 64.79/64.87 396 back subsumes 386. % 64.79/64.87 >>>> Starting back demodulation with 399. % 64.79/64.87 >> back demodulating 371 with 399. % 64.79/64.87 >> back demodulating 356 with 399. % 64.79/64.87 >> back demodulating 229 with 399. % 64.79/64.87 >>>> Starting back demodulation with 404. % 64.79/64.87 ** KEPT (pick-wt=19): 526 [copy,406,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)). % 64.79/64.87 >>>> Starting back demodulation with 409. % 64.79/64.87 >>>> Starting back demodulation with 411. % 64.79/64.87 >>>> Starting back demodulation with 414. % 64.79/64.87 >> back demodulating 410 with 414. % 64.79/64.87 >> back demodulating 408 with 414. % 64.79/64.87 >> back demodulating 400 with 414. % 64.79/64.87 >> back demodulating 398 with 414. % 64.79/64.87 >> back demodulating 396 with 414. % 64.79/64.87 >> back demodulating 394 with 414. % 64.79/64.87 >> back demodulating 393 with 414. % 64.79/64.87 >> back demodulating 391 with 414. % 64.79/64.87 >> back demodulating 389 with 414. % 64.79/64.87 >> back demodulating 387 with 414. % 64.79/64.87 >> back demodulating 365 with 414. % 64.79/64.87 >> back demodulating 360 with 414. % 64.79/64.87 >> back demodulating 336 with 414. % 64.79/64.87 >> back demodulating 317 with 414. % 64.79/64.87 >> back demodulating 316 with 414. % 64.79/64.87 >> back demodulating 315 with 414. % 64.79/64.87 >> back demodulating 314 with 414. % 64.79/64.87 >> back demodulating 313 with 414. % 64.79/64.87 >> back demodulating 312 with 414. % 64.79/64.87 >> back demodulating 280 with 414. % 64.79/64.87 >> back demodulating 278 with 414. % 64.79/64.87 >> back demodulating 277 with 414. % 64.79/64.87 >> back demodulating 276 with 414. % 64.79/64.87 >> back demodulating 274 with 414. % 64.79/64.87 >> back demodulating 273 with 414. % 64.79/64.87 >> back demodulating 272 with 414. % 64.79/64.87 >> back demodulating 271 with 414. % 64.79/64.87 >> back demodulating 270 with 414. % 64.79/64.87 >> back demodulating 266 with 414. % 64.79/64.87 >> back demodulating 263 with 414. % 64.79/64.87 >> back demodulating 262 with 414. % 64.79/64.87 >> back demodulating 261 with 414. % 64.79/64.87 >> back demodulating 260 with 414. % 64.79/64.87 >> back demodulating 259 with 414. % 64.79/64.87 >> back demodulating 258 with 414. % 64.79/64.87 >> back demodulating 257 with 414. % 64.79/64.87 >> back demodulating 256 with 414. % 64.79/64.87 >> back demodulating 255 with 414. % 64.79/64.87 >> back demodulating 254 with 414. % 64.79/64.87 >> back demodulating 253 with 414. % 64.79/64.87 >> back demodulating 252 with 414. % 64.79/64.87 >> back demodulating 251 with 414. % 64.79/64.87 >> back demodulating 250 with 414. % 64.79/64.87 >> back demodulating 248 with 414. % 64.79/64.87 >> back demodulating 246 with 414. % 64.79/64.87 >> back demodulating 245 with 414. % 64.79/64.87 >> back demodulating 244 with 414. % 64.79/64.87 >> back demodulating 243 with 414. % 64.79/64.87 >> back demodulating 242 with 414. % 64.79/64.87 >> back demodulating 241 with 414. % 64.79/64.87 >> back demodulating 240 with 414. % 64.79/64.87 >> back demodulating 239 with 414. % 64.79/64.87 >> back demodulating 238 with 414. % 64.79/64.87 >> back demodulating 237 with 414. % 64.79/64.87 >> back demodulating 236 with 414. % 64.79/64.87 >> back demodulating 235 with 414. % 64.79/64.87 >> back demodulating 233 with 414. % 64.79/64.87 >> back demodulating 232 with 414. % 64.79/64.87 >> back demodulating 231 with 414. % 64.79/64.87 >> back demodulating 230 with 414. % 64.79/64.87 >> back demodulating 202 with 414. % 64.79/64.87 >> back demodulating 201 with 414. % 64.79/64.87 >> back demodulating 172 with 414. % 64.79/64.87 >> back demodulating 171 with 414. % 64.79/64.87 >> back demodulating 149 with 414. % 64.79/64.87 >> back demodulating 127 with 414. % 64.79/64.87 >> back demodulating 126 with 414. % 64.79/64.87 >> back demodulating 125 with 414. % 64.79/64.87 >> back demodulating 124 with 414. % 64.79/64.87 >> back demodulating 123 with 414. % 64.79/64.87 >> back demodulating 121 with 414. % 64.79/64.87 >> back demodulating 120 with 414. % 64.79/64.87 >> back demodulating 118 with 414. % 64.79/64.87 >> back demodulating 117 with 414. % 64.79/64.87 >> back demodulating 111 with 414. % 64.79/64.87 >> back demodulating 83 with 414. % 64.79/64.87 >> back demodulating 62 with 414. % 64.79/64.87 >> back demodulating 40 with 414. % 64.79/64.87 >> back demodulating 39 with 414. % 64.79/64.87 >>>> Starting back demodulation with 417. % 64.79/64.87 ** KEPT (pick-wt=25): 606 [copy,418,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)). % 64.79/64.87 ** KEPT (pick-wt=22): 607 [copy,419,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,A,G,H,I,J,K,c_Com_Ocom_OLocal(B,C,D),L). % 64.79/64.87 ** KEPT (pick-wt=19): 608 [copy,420,flip.1] hAPP(hAPP(A,B),C)=c_Com_Ocom_Ocom__case(D,E,F,G,H,A,I,J,c_Com_Ocom_OWhile(B,C),K). % 64.79/64.87 >>>> Starting back demodulation with 423. % 64.79/64.87 >>>> Starting back demodulation with 426. % 64.79/64.87 ** KEPT (pick-wt=16): 609 [copy,428,flip.1] hAPP(A,B)=c_Com_Ocom_Ocom__rec(C,D,E,F,G,H,A,I,c_Com_Ocom_OBODY(B),J). % 64.79/64.87 ** KEPT (pick-wt=22): 610 [copy,429,flip.1] hAPP(hAPP(hAPP(A,B),C),D)=c_Com_Ocom_Ocom__case(E,F,G,H,A,I,J,K,c_Com_Ocom_OCond(B,C,D),L). % 64.79/64.87 ** KEPT (pick-wt=31): 611 [copy,430,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)). % 64.79/64.87 >>>> Starting back demodulation with 432. % 64.79/64.87 >>>> Starting back demodulation with 436. % 64.79/64.87 >>>> Starting back demodulation with 438. % 64.79/64.87 >>>> Starting back demodulation with 442. % 64.79/64.87 >>>> Starting back demodulation with 445. % 64.79/64.87 >>>> Starting back demodulation with 452. % 64.79/64.87 >> back demodulating 431 with 452. % 64.79/64.87 >> back demodulating 291 with 452. % 64.79/64.87 >>>> Starting back demodulation with 457. % 64.79/64.87 >>>> Starting back demodulation with 462. % 64.79/64.87 ** KEPT (pick-wt=27): 613 [copy,464,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,C),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)). % 64.79/64.87 ** KEPT (pick-wt=27): 614 [copy,466,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_COMBK(c_False,tc_bool,C),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)). % 64.79/64.87 >>>> Starting back demodulation with 469. % 64.79/64.87 >>>> Starting back demodulation with 472. % 64.79/64.87 >>>> Starting back demodulation with 475. % 64.79/64.87 Following clause subsumed by 519 during input processing: 0 [copy,477,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,B),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B). % 64.79/64.87 >>>> Starting back demodulation with 490. % 64.79/64.87 Following clause subsumed by 491 during input processing: 0 [copy,491,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D). % 64.79/64.87 Following clause subsumed by 326 during input processing: 0 [copy,509,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J). % 64.79/64.87 Following clause subsumed by 329 during input processing: 0 [copy,510,flip.1] c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)). % 64.79/64.87 510 back subsumes 444. % 64.79/64.87 Following clause subsumed by 334 during input processing: 0 [copy,511,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E). % 64.79/64.87 Following clause subsumed by 335 during input processing: 0 [copy,512,flip.1] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)). % 64.79/64.87 512 back subsumes 441. % 64.79/64.87 Following clause subsumed by 338 during input processing: 0 [copy,513,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K). % 64.79/64.87 >>>> Starting back demodulation with 517. % 64.79/64.87 Following clause subsumed by 369 during input processing: 0 [copy,518,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J). % 64.79/64.87 Following clause subsumed by 477 during input processing: 0 [copy,519,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_COMBK(c_False,tc_bool,C),C),B,tc_fun(C,tc_bool)). % 64.79/64.87 Following clause subsumed by 373 during input processing: 0 [copy,520,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K). % 64.79/64.87 Following clause subsumed by 376 during input processing: 0 [copy,521,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I). % 64.79/64.87 Following clause subsumed by 377 during input processing: 0 [copy,522,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J). % 64.79/64.87 >>>> Starting back demodulation with 524. % 64.79/64.87 >> back demodulating 308 with 524. % 64.79/64.87 Following clause subsumed by 406 during input processing: 0 [copy,526,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)). % 64.79/64.87 >>>> Starting back demodulation with 528. % 64.79/64.87 >>>> Starting back demodulation with 530. % 64.79/64.87 >>>> Starting back demodulation with 533. % 64.79/64.87 >>>> Starting back demodulation with 536. % 64.79/64.87 >>>> Starting back demodulation with 538. % 64.79/64.87 >>>> Starting back demodulation with 540. % 64.79/64.87 >>>> Starting back demodulation with 542. % 64.79/64.87 >>>> Starting back demodulation with 545. % 64.79/64.87 Following clause subsumed by 418 during input processing: 0 [copy,606,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)). % 64.79/64.87 Following clause subsumed by 419 during input processing: 0 [copy,607,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K). % 64.79/64.87 Following clause subsumed by 420 during input processing: 0 [copy,608,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J). % 64.79/64.87 Following clause subsumed by 428 during input processing: 0 [copy,609,flip.1] c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I). % 64.79/64.87 Following clause subsumed by 429 during input processing: 0 [copy,610,flip.1] c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K). % 64.79/64.87 Following clause subsumed by 430 during input processing: 0 [copy,611,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)). % 64.79/64.87 Following clause subsumed by 464 during input processing: 0 [copy,613,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,D),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)). % 64.79/64.87 Following clause subsumed by 466 during input processing: 0 [copy,614,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_COMBK(c_False,tc_bool,D),D),tc_fun(D,tc_bool)). % 65.77/65.85 % 65.77/65.85 ======= end of input processing ======= % 65.77/65.85 % 65.77/65.85 =========== start of search =========== % 65.77/65.85 % 65.77/65.85 % 65.77/65.85 Resetting weight limit to 2. % 65.77/65.85 % 65.77/65.85 % 65.77/65.85 Resetting weight limit to 2. % 65.77/65.85 % 65.77/65.85 sos_size=188 % 65.77/65.85 % 65.77/65.85 Search stopped because sos empty. % 65.77/65.85 % 65.77/65.85 % 65.77/65.85 Search stopped because sos empty. % 65.77/65.85 % 65.77/65.85 ============ end of search ============ % 65.77/65.85 % 65.77/65.85 -------------- statistics ------------- % 65.77/65.85 clauses given 189 % 65.77/65.85 clauses generated 89827 % 65.77/65.85 clauses kept 522 % 65.77/65.85 clauses forward subsumed 136 % 65.77/65.85 clauses back subsumed 10 % 65.77/65.85 Kbytes malloced 11718 % 65.77/65.85 % 65.77/65.85 ----------- times (seconds) ----------- % 65.77/65.85 user CPU time 1.04 (0 hr, 0 min, 1 sec) % 65.77/65.85 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 65.77/65.85 wall-clock time 65 (0 hr, 1 min, 5 sec) % 65.77/65.85 % 65.77/65.85 Process 30716 finished Wed Jul 27 05:39:57 2022 % 65.77/65.85 Otter interrupted % 65.77/65.85 PROOF NOT FOUND %------------------------------------------------------------------------------