TSTP Solution File: SWV840-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 : Thu Aug 31 21:35:27 EDT 2023
% Result : Unsatisfiable 0.68s 0.87s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 05:46:40 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.54/0.60 start to proof:theBenchmark
% 0.59/0.83 %-------------------------------------------
% 0.59/0.83 % File :CSE---1.6
% 0.59/0.83 % Problem :theBenchmark
% 0.59/0.83 % Transform :cnf
% 0.59/0.83 % Format :tptp:raw
% 0.59/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.83
% 0.59/0.83 % Result :Theorem 0.030000s
% 0.59/0.83 % Output :CNFRefutation 0.030000s
% 0.59/0.83 %-------------------------------------------
% 0.59/0.83 %------------------------------------------------------------------------------
% 0.59/0.83 % File : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.59/0.83 % Domain : Software Verification
% 0.59/0.83 % Problem : Hoare logic with procedures 226_1
% 0.59/0.83 % Version : Especial.
% 0.59/0.83 % English : Completeness is taken relative to completeness of the underlying
% 0.59/0.83 % logic. Two versions of completeness proof: nested single recursion
% 0.59/0.83 % and simultaneous recursion in call rule.
% 0.59/0.83
% 0.59/0.83 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.59/0.83 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.59/0.84 % Source : [Nip10]
% 0.59/0.84 % Names : Hoare-226_1 [Nip10]
% 0.59/0.84
% 0.59/0.84 % Status : Unsatisfiable
% 0.59/0.84 % Rating : 0.14 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.30 v5.5.0, 0.60 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.36 v4.1.0
% 0.59/0.84 % Syntax : Number of clauses : 469 ( 177 unt; 45 nHn; 269 RR)
% 0.59/0.84 % Number of literals : 908 ( 303 equ; 459 neg)
% 0.59/0.84 % Maximal clause size : 4 ( 1 avg)
% 0.59/0.84 % Maximal term depth : 10 ( 2 avg)
% 0.59/0.84 % Number of predicates : 24 ( 23 usr; 0 prp; 1-9 aty)
% 0.59/0.84 % Number of functors : 78 ( 78 usr; 18 con; 0-10 aty)
% 0.59/0.84 % Number of variables : 1783 ( 527 sgn)
% 0.59/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.84
% 0.59/0.84 % Comments :
% 0.59/0.84 %------------------------------------------------------------------------------
% 0.59/0.84 cnf(cls_sup__assoc_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_sup__left__commute_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_WT_OCall_0,axiom,
% 0.59/0.84 ( c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))
% 0.59/0.84 | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_WTs__elim__cases_I8_J_0,axiom,
% 0.59/0.84 ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P))
% 0.59/0.84 | ~ c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__subset__iff_2,axiom,
% 0.59/0.84 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__upper2_0,axiom,
% 0.59/0.84 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__upper1_0,axiom,
% 0.59/0.84 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__least_0,axiom,
% 0.59/0.84 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_le__supI_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.59/0.84 | ~ c_lessequals(V_b,V_x,T_a)
% 0.59/0.84 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_sup__ge1_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_sup__ge2_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_sup__least_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.59/0.84 | ~ c_lessequals(V_z,V_x,T_a)
% 0.59/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_le__sup__iff_2,axiom,
% 0.59/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.84 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.59/0.84 | ~ c_lessequals(V_y,V_z,T_a)
% 0.59/0.84 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.84 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.59/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.84 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
% 0.59/0.84 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)
% 0.59/0.84 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Diff__partition_0,axiom,
% 0.59/0.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.59/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_com_Osimps_I14_J_0,axiom,
% 0.59/0.84 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Diff__subset_0,axiom,
% 0.59/0.84 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.59/0.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.59/0.84 | ~ class_Int_Onumber__ring(T_a)
% 0.59/0.84 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.59/0.84 | V_x = V_y ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_right__minus__eq_0,axiom,
% 0.59/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.59/0.84 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.59/0.84 | V_a = V_b ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.59/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.84 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.59/0.84 | V_a = V_b ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_image__constant__conv_0,axiom,
% 0.59/0.84 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_CollectI_0,axiom,
% 0.59/0.84 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.59/0.84 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_CollectD_0,axiom,
% 0.59/0.84 ( hBOOL(hAPP(V_P,V_a))
% 0.59/0.84 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Diff__iff_2,axiom,
% 0.59/0.84 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.59/0.84 | hBOOL(c_in(V_c,V_B,T_a))
% 0.59/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_DiffI_0,axiom,
% 0.59/0.84 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.59/0.84 | hBOOL(c_in(V_c,V_B,T_a))
% 0.59/0.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_com_Osimps_I43_J_0,axiom,
% 0.59/0.84 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_insert__subset_0,axiom,
% 0.59/0.84 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.59/0.84 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_UN__constant_1,axiom,
% 0.59/0.84 ( 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
% 0.59/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_SUP__const_0,axiom,
% 0.59/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.59/0.84 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 0.59/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_com_Osimps_I61_J_0,axiom,
% 0.59/0.84 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_insert__image_0,axiom,
% 0.59/0.84 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.59/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_subset__insert__iff_2,axiom,
% 0.59/0.84 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_subset__insert__iff_1,axiom,
% 0.59/0.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.84 | hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.84 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_subset__insert_1,axiom,
% 0.59/0.84 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_subset__insert_0,axiom,
% 0.59/0.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.84 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__assoc_0,axiom,
% 0.59/0.84 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_Un__left__commute_0,axiom,
% 0.59/0.84 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_evalc_OSemi_0,axiom,
% 0.59/0.84 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_image__diff__subset_0,axiom,
% 0.59/0.84 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_evalc__elim__cases_I5_J_1,axiom,
% 0.59/0.84 ( ~ hBOOL(hAPP(V_b,V_s))
% 0.59/0.84 | c_Natural_Oevalc(V_c1,V_s,V_t)
% 0.59/0.84 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_evalc_OIfTrue_0,axiom,
% 0.59/0.84 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)
% 0.59/0.84 | ~ c_Natural_Oevalc(V_c0,V_s,V_s1)
% 0.59/0.84 | ~ hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_WT_OSkip_0,axiom,
% 0.59/0.84 c_Com_OWT(c_Com_Ocom_OSKIP) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_evaln_OSemi_0,axiom,
% 0.59/0.84 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_eq__eqI_0,axiom,
% 0.59/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.84 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.59/0.84 | V_x_H = V_y_H ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_eq__eqI_1,axiom,
% 0.59/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.84 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.59/0.84 | V_xa = V_y ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_evalc_OWhileTrue_0,axiom,
% 0.59/0.84 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)
% 0.59/0.84 | ~ c_Natural_Oevalc(V_c,V_s0,V_s1)
% 0.59/0.84 | ~ hBOOL(hAPP(V_b,V_s0)) ) ).
% 0.59/0.84
% 0.59/0.84 cnf(cls_option_Osimps_I2_J_0,axiom,
% 0.59/0.84 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_not__Some__eq_1,axiom,
% 0.59/0.85 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_evaln_OWhileTrue_0,axiom,
% 0.59/0.85 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)
% 0.59/0.85 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)
% 0.59/0.85 | ~ c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)
% 0.59/0.85 | ~ hBOOL(hAPP(V_b,V_s0)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Diff__idemp_0,axiom,
% 0.59/0.85 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_COMBS__def_0,axiom,
% 0.59/0.85 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_COMBK__def_0,axiom,
% 0.59/0.85 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_COMBI__def_0,axiom,
% 0.59/0.85 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_COMBC__def_0,axiom,
% 0.59/0.85 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_COMBB__def_0,axiom,
% 0.59/0.85 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_mem__def_0,axiom,
% 0.59/0.85 ( hBOOL(hAPP(V_S,V_x))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_mem__def_1,axiom,
% 0.59/0.85 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.59/0.85 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.59/0.85 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_evaln__elim__cases_I5_J_1,axiom,
% 0.59/0.85 ( ~ hBOOL(hAPP(V_b,V_s))
% 0.59/0.85 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t)
% 0.59/0.85 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_evaln_OIfTrue_0,axiom,
% 0.59/0.85 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)
% 0.59/0.85 | ~ c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)
% 0.59/0.85 | ~ hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I71_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I51_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup__idem_0,axiom,
% 0.59/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Un__absorb_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup__fun__eq_0,axiom,
% 0.59/0.85 ( ~ class_Lattices_Olattice(T_b)
% 0.59/0.85 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_image__constant_0,axiom,
% 0.59/0.85 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_image__subset__iff_0,axiom,
% 0.59/0.85 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.59/0.85 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_subset__insert__iff_0,axiom,
% 0.59/0.85 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.85 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_subset__insert__iff_3,axiom,
% 0.59/0.85 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.85 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_diff__single__insert_0,axiom,
% 0.59/0.85 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.85 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_evaln_OWhileFalse_0,axiom,
% 0.59/0.85 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)
% 0.59/0.85 | hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_fold1__def_0,axiom,
% 0.59/0.85 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I56_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_le__SUPI_0,axiom,
% 0.59/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.59/0.85 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.59/0.85 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__upper_0,axiom,
% 0.59/0.85 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_insert__Diff1_0,axiom,
% 0.59/0.85 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I36_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_image__ident_0,axiom,
% 0.59/0.85 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I7_J_2,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.59/0.85 | V_fun = V_fun_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I7_J_1,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.59/0.85 | V_pname = V_pname_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I7_J_0,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 0.59/0.85 | V_vname = V_vname_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I17_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I39_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_evalc_OWhileFalse_0,axiom,
% 0.59/0.85 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)
% 0.59/0.85 | hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.59/0.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.59/0.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Collect__def_0,axiom,
% 0.59/0.85 c_Collect(V_P,T_a) = V_P ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I3_J_1,axiom,
% 0.59/0.85 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.59/0.85 | V_com2 = V_com2_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I3_J_0,axiom,
% 0.59/0.85 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.59/0.85 | V_com1 = V_com1_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I46_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Sup__insert_0,axiom,
% 0.59/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.59/0.85 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I44_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I35_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_triple__valid__Suc_0,axiom,
% 0.59/0.85 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)
% 0.59/0.85 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.59/0.85 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.85 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I52_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_DiffE_0,axiom,
% 0.59/0.85 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I37_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_DiffE_1,axiom,
% 0.59/0.85 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__subset__iff_0,axiom,
% 0.59/0.85 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 0.59/0.85 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_K__record__comp_0,axiom,
% 0.59/0.85 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_the__eq__trivial_0,axiom,
% 0.59/0.85 c_The(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = V_a ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I45_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__absorb_0,axiom,
% 0.59/0.85 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I4_J_2,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 0.59/0.85 | V_com2 = V_com2_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I4_J_1,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 0.59/0.85 | V_com1 = V_com1_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I4_J_0,axiom,
% 0.59/0.85 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 0.59/0.85 | V_fun = V_fun_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.59/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_right__minus__eq_1,axiom,
% 0.59/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.59/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_diff__0__right_0,axiom,
% 0.59/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.59/0.85 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_diff__self_0,axiom,
% 0.59/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.59/0.85 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.59/0.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.59/0.85 | ~ class_Int_Onumber__ring(T_a)
% 0.59/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.59/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.85 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ c_lessequals(V_b,V_d,T_a)
% 0.59/0.85 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.59/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.85 | c_lessequals(V_b,V_d,T_a)
% 0.59/0.85 | ~ c_lessequals(V_a,V_b,T_a)
% 0.59/0.85 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.59/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.85 | c_lessequals(V_c,V_a,T_a)
% 0.59/0.85 | ~ c_lessequals(V_a,V_b,T_a)
% 0.59/0.85 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_option_Osimps_I3_J_0,axiom,
% 0.59/0.85 c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_not__None__eq_1,axiom,
% 0.59/0.85 c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I57_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_option_Oinject_0,axiom,
% 0.59/0.85 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
% 0.59/0.85 | V_a = V_a_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_o__apply_0,axiom,
% 0.59/0.85 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.59/0.85 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Suc__inject_0,axiom,
% 0.59/0.85 ( c_Suc(V_x) != c_Suc(V_y)
% 0.59/0.85 | V_x = V_y ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_nat_Oinject_0,axiom,
% 0.59/0.85 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.59/0.85 | V_nat = V_nat_H ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.59/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.85 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.85 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup1E_0,axiom,
% 0.59/0.85 ( hBOOL(hAPP(V_B,V_x))
% 0.59/0.85 | hBOOL(hAPP(V_A,V_x))
% 0.59/0.85 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup1CI_0,axiom,
% 0.59/0.85 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.59/0.85 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup1CI_1,axiom,
% 0.59/0.85 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.59/0.85 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_WT_OIf_0,axiom,
% 0.59/0.85 ( c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))
% 0.59/0.85 | ~ c_Com_OWT(V_c1)
% 0.59/0.85 | ~ c_Com_OWT(V_c0) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I64_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UnE_0,axiom,
% 0.59/0.85 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.59/0.85 | hBOOL(c_in(V_c,V_A,T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I38_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.59/0.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.59/0.85 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I16_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__iff_2,axiom,
% 0.59/0.85 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__I_0,axiom,
% 0.59/0.85 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 0.59/0.85 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.59/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_UN__constant_0,axiom,
% 0.59/0.85 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)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_fun__diff__def_0,axiom,
% 0.59/0.85 ( ~ class_HOL_Ominus(T_b)
% 0.59/0.85 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Un__Diff_0,axiom,
% 0.59/0.85 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I67_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_com_Osimps_I34_J_0,axiom,
% 0.59/0.85 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_insert__def_0,axiom,
% 0.59/0.85 c_Set_Oinsert(V_a,V_B,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.59/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.59/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.59/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_Un__commute_0,axiom,
% 0.59/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_sup__commute_0,axiom,
% 0.59/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.59/0.85
% 0.59/0.85 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.59/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I5_J_0,axiom,
% 0.59/0.86 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 0.59/0.86 | V_fun = V_fun_H ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I5_J_1,axiom,
% 0.59/0.86 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 0.59/0.86 | V_com = V_com_H ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_While_0,axiom,
% 0.59/0.86 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))
% 0.59/0.86 | ~ c_Com_OWT(V_c) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WTs__elim__cases_I6_J_0,axiom,
% 0.59/0.86 ( c_Com_OWT(V_c)
% 0.59/0.86 | ~ c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__left__absorb_0,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__left__idem_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WT_OLocal_0,axiom,
% 0.59/0.86 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))
% 0.59/0.86 | ~ c_Com_OWT(V_c) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WTs__elim__cases_I3_J_0,axiom,
% 0.59/0.86 ( c_Com_OWT(V_c)
% 0.59/0.86 | ~ c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I15_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_SUP1__iff_2,axiom,
% 0.59/0.86 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.59/0.86 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_SUP1__I_0,axiom,
% 0.59/0.86 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.59/0.86 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.59/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I53_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I50_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln__elim__cases_I6_J_0,axiom,
% 0.59/0.86 ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))
% 0.59/0.86 | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__Diff__if_1,axiom,
% 0.59/0.86 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.59/0.86 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln__elim__cases_I1_J_0,axiom,
% 0.59/0.86 ( V_t = V_s
% 0.59/0.86 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_rev__image__eqI_0,axiom,
% 0.59/0.86 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.59/0.86 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__iff_2,axiom,
% 0.59/0.86 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.59/0.86 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__eqI_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_imageI_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__subset__conv_1,axiom,
% 0.59/0.86 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__subset__conv_0,axiom,
% 0.59/0.86 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evalc__elim__cases_I1_J_0,axiom,
% 0.59/0.86 ( V_t = V_s
% 0.59/0.86 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln__evalc_0,axiom,
% 0.59/0.86 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 0.59/0.86 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_eval__eq_1,axiom,
% 0.59/0.86 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 0.59/0.86 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__funD_0,axiom,
% 0.59/0.86 ( ~ class_HOL_Oord(T_b)
% 0.59/0.86 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.59/0.86 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__bot__left_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__bot__right_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_bot__least_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Obot(T_a)
% 0.59/0.86 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.59/0.86 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.59/0.86 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__empty_2,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__is__empty_0,axiom,
% 0.59/0.86 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.59/0.86 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.59/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.59/0.86 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.59/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__Collect__eq_0,axiom,
% 0.59/0.86 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.59/0.86 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_ex__in__conv_0,axiom,
% 0.59/0.86 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_ball__empty_0,axiom,
% 0.59/0.86 ( hBOOL(hAPP(V_P,V_x))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__iff_0,axiom,
% 0.59/0.86 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_emptyE_0,axiom,
% 0.59/0.86 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__empty_1,axiom,
% 0.59/0.86 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__empty_0,axiom,
% 0.59/0.86 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Collect__empty__eq_0,axiom,
% 0.59/0.86 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__fold1SetE_0,axiom,
% 0.59/0.86 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__Diff_0,axiom,
% 0.59/0.86 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__empty__right_0,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__empty__left_0,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__cancel_0,axiom,
% 0.59/0.86 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__empty_0,axiom,
% 0.59/0.86 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__subsetI_0,axiom,
% 0.59/0.86 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__is__image_0,axiom,
% 0.59/0.86 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.59/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__empty_0,axiom,
% 0.59/0.86 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_bex__empty_0,axiom,
% 0.59/0.86 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__empty_1,axiom,
% 0.59/0.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.86 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__empty_0,axiom,
% 0.59/0.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.59/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_empty__is__image_1,axiom,
% 0.59/0.86 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_singleton__conv_0,axiom,
% 0.59/0.86 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__Diff_0,axiom,
% 0.59/0.86 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.59/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__constant__conv_1,axiom,
% 0.59/0.86 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.59/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Sup__binary_0,axiom,
% 0.59/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.59/0.86 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__insert__iff_4,axiom,
% 0.59/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.59/0.86 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.59/0.86 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__mono_0,axiom,
% 0.59/0.86 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__iff_2,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insertCI_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__insert_0,axiom,
% 0.59/0.86 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.59/0.86 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.59/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.59/0.86 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.59/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insertE_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.59/0.86 | V_a = V_b
% 0.59/0.86 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__insertI_0,axiom,
% 0.59/0.86 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__insert__right_0,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__insert__left_0,axiom,
% 0.59/0.86 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__insertI2_0,axiom,
% 0.59/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__subset_1,axiom,
% 0.59/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__iff_1,axiom,
% 0.59/0.86 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insertI1_0,axiom,
% 0.59/0.86 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insertCI_1,axiom,
% 0.59/0.86 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__ident_0,axiom,
% 0.59/0.86 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.59/0.86 | hBOOL(c_in(V_x,V_B,T_a))
% 0.59/0.86 | hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.86 | V_A = V_B ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__absorb_0,axiom,
% 0.59/0.86 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.59/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_hoare__derivs_OBody_0,axiom,
% 0.59/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.59/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I19_J_0,axiom,
% 0.59/0.86 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I58_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OWhile(V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I55_J_0,axiom,
% 0.59/0.86 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I54_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I10_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln__Suc_0,axiom,
% 0.59/0.86 ( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)
% 0.59/0.86 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Diff__mono_0,axiom,
% 0.59/0.86 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln__elim__cases_I5_J_0,axiom,
% 0.59/0.86 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t)
% 0.59/0.86 | hBOOL(hAPP(V_b,V_s))
% 0.59/0.86 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln_OIfFalse_0,axiom,
% 0.59/0.86 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)
% 0.59/0.86 | ~ c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)
% 0.59/0.86 | hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I60_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evalc_OSkip_0,axiom,
% 0.59/0.86 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_equalityI_0,axiom,
% 0.59/0.86 ( V_A = V_B
% 0.59/0.86 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com__det_0,axiom,
% 0.59/0.86 ( V_u = V_t
% 0.59/0.86 | ~ c_Natural_Oevalc(V_c,V_s,V_u)
% 0.59/0.86 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_set__eq__subset_2,axiom,
% 0.59/0.86 ( V_A = V_B
% 0.59/0.86 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__eq__iff_2,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | V_x = V_y
% 0.59/0.86 | ~ c_lessequals(V_y,V_x,T_a)
% 0.59/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__antisym_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | V_x = V_y
% 0.59/0.86 | ~ c_lessequals(V_y,V_x,T_a)
% 0.59/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__antisym__conv_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | V_x = V_y
% 0.59/0.86 | ~ c_lessequals(V_x,V_y,T_a)
% 0.59/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.59/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.59/0.86 | c_lessequals(V_a,V_b,T_a)
% 0.59/0.86 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.59/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.59/0.86 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.59/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I11_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_sup__absorb1_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.59/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__iff__sup_1,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.59/0.86 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__iff__sup_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.59/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__absorb1_0,axiom,
% 0.59/0.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__absorb2_0,axiom,
% 0.59/0.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.59/0.86 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__Un__eq_1,axiom,
% 0.59/0.86 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.59/0.86 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evaln_OSkip_0,axiom,
% 0.59/0.86 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.59/0.86 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.59/0.86 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_triple__valid__def2_0,axiom,
% 0.59/0.86 ( hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))
% 0.59/0.86 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 0.59/0.86 | ~ hBOOL(hAPP(hAPP(V_P,V_Z),V_s))
% 0.59/0.86 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),t_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_bot__empty__eq_0,axiom,
% 0.59/0.86 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evalc__elim__cases_I5_J_0,axiom,
% 0.59/0.86 ( c_Natural_Oevalc(V_c2,V_s,V_t)
% 0.59/0.86 | hBOOL(hAPP(V_b,V_s))
% 0.59/0.86 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evalc_OIfFalse_0,axiom,
% 0.59/0.86 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)
% 0.59/0.86 | ~ c_Natural_Oevalc(V_c1,V_s,V_s1)
% 0.59/0.86 | hBOOL(hAPP(V_b,V_s)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_UN__insert_0,axiom,
% 0.59/0.86 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WTs__elim__cases_I4_J_1,axiom,
% 0.59/0.86 ( c_Com_OWT(V_c2)
% 0.59/0.86 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WTs__elim__cases_I4_J_0,axiom,
% 0.59/0.86 ( c_Com_OWT(V_c1)
% 0.59/0.86 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Inf__lower_0,axiom,
% 0.59/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.59/0.86 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.59/0.86 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.59/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I66_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I69_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__mono_0,axiom,
% 0.59/0.86 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_o__assoc_0,axiom,
% 0.59/0.86 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I13_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_o__def_0,axiom,
% 0.59/0.86 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_insert__subset_2,axiom,
% 0.59/0.86 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__image_0,axiom,
% 0.59/0.86 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I2_J_2,axiom,
% 0.59/0.86 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 0.59/0.86 | V_com = V_com_H ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I2_J_1,axiom,
% 0.59/0.86 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 0.59/0.86 | V_fun = V_fun_H ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I2_J_0,axiom,
% 0.59/0.86 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 0.59/0.86 | V_loc = V_loc_H ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_WT_OSemi_0,axiom,
% 0.59/0.86 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))
% 0.59/0.86 | ~ c_Com_OWT(V_c1)
% 0.59/0.86 | ~ c_Com_OWT(V_c0) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I20_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_image__compose_0,axiom,
% 0.59/0.86 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_com_Osimps_I47_J_0,axiom,
% 0.59/0.86 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_UnCI_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_UnCI_1,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_UN__empty2_0,axiom,
% 0.59/0.86 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)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_evalc__WHILE__case_0,axiom,
% 0.59/0.86 ( hBOOL(hAPP(V_b,V_s))
% 0.59/0.86 | V_t = V_s
% 0.59/0.86 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Suc__n__not__n_0,axiom,
% 0.59/0.86 c_Suc(V_n) != V_n ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_n__not__Suc__n_0,axiom,
% 0.59/0.86 V_n != c_Suc(V_n) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__sup__iff_1,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_y,V_z,T_a)
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__sup__iff_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_x,V_z,T_a)
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__supI2_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.59/0.86 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__supI1_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.59/0.86 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__supE_1,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_b,V_x,T_a)
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_le__supE_0,axiom,
% 0.59/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.59/0.86 | c_lessequals(V_a,V_x,T_a)
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__subset__iff_0,axiom,
% 0.59/0.86 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_Un__subset__iff_1,axiom,
% 0.59/0.86 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_xt1_I6_J_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | c_lessequals(V_z,V_x,T_a)
% 0.59/0.86 | ~ c_lessequals(V_z,V_y,T_a)
% 0.59/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__trans_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Opreorder(T_a)
% 0.59/0.86 | c_lessequals(V_x,V_z,T_a)
% 0.59/0.86 | ~ c_lessequals(V_y,V_z,T_a)
% 0.59/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_set__mp_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subsetD_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_equalityE_0,axiom,
% 0.59/0.86 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_set__rev__mp_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__iff_0,axiom,
% 0.59/0.86 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.59/0.86 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__refl_0,axiom,
% 0.59/0.86 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_subset__trans_0,axiom,
% 0.59/0.86 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.59/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_predicate1D_0,axiom,
% 0.59/0.86 ( hBOOL(hAPP(V_Q,V_x))
% 0.59/0.86 | ~ hBOOL(hAPP(V_P,V_x))
% 0.59/0.86 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__eq__iff_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.59/0.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.59/0.86
% 0.59/0.86 cnf(cls_order__eq__refl_0,axiom,
% 0.59/0.86 ( ~ class_Orderings_Opreorder(T_a)
% 0.68/0.86 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_rev__predicate1D_0,axiom,
% 0.68/0.86 ( hBOOL(hAPP(V_Q,V_x))
% 0.68/0.86 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.68/0.86 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I21_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.68/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.68/0.86 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.68/0.86 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.68/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.68/0.86 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.68/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I68_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_o__eq__dest_0,axiom,
% 0.68/0.86 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.68/0.86 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_comp__cong_0,axiom,
% 0.68/0.86 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.68/0.86 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_evaln__WHILE__case_0,axiom,
% 0.68/0.86 ( hBOOL(hAPP(V_b,V_s))
% 0.68/0.86 | V_t = V_s
% 0.68/0.86 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_UN__Un_0,axiom,
% 0.68/0.86 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_the__sym__eq__trivial_0,axiom,
% 0.68/0.86 c_The(hAPP(c_fequal(T_a),V_x),T_a) = V_x ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_double__diff_0,axiom,
% 0.68/0.86 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.68/0.86 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.68/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_le__eqI_0,axiom,
% 0.68/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.68/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.68/0.86 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.68/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_le__eqI_1,axiom,
% 0.68/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.68/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.68/0.86 | c_lessequals(V_y,V_x,T_a)
% 0.68/0.86 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_image__mono_0,axiom,
% 0.68/0.86 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.68/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_subset__image__iff_2,axiom,
% 0.68/0.86 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.68/0.86 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_evaln__elim__cases_I5_J_2,axiom,
% 0.68/0.86 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t)
% 0.68/0.86 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t)
% 0.68/0.86 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_image__Un_0,axiom,
% 0.68/0.86 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I42_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_evalc__elim__cases_I5_J_2,axiom,
% 0.68/0.86 ( c_Natural_Oevalc(V_c2,V_s,V_t)
% 0.68/0.86 | c_Natural_Oevalc(V_c1,V_s,V_t)
% 0.68/0.86 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_Sup__upper_0,axiom,
% 0.68/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.68/0.86 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.68/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_WTs__elim__cases_I5_J_1,axiom,
% 0.68/0.86 ( c_Com_OWT(V_c2)
% 0.68/0.86 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_WTs__elim__cases_I5_J_0,axiom,
% 0.68/0.86 ( c_Com_OWT(V_c1)
% 0.68/0.86 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I12_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_linorder__linear_0,axiom,
% 0.68/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.68/0.86 | c_lessequals(V_y,V_x,T_a)
% 0.68/0.86 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I41_J_0,axiom,
% 0.68/0.86 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I59_J_0,axiom,
% 0.68/0.86 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I63_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != hAPP(c_Com_Ocom_OBODY,V_pname) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I49_J_0,axiom,
% 0.68/0.86 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I48_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I40_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I62_J_0,axiom,
% 0.68/0.86 hAPP(c_Com_Ocom_OBODY,V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I70_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_com_Osimps_I18_J_0,axiom,
% 0.68/0.86 c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_Body__triple__valid__0_0,axiom,
% 0.68/0.86 c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_triple_Osplit__asm_0,axiom,
% 0.68/0.86 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_xa),V_xb),V_xc),t_b,t_a)))
% 0.68/0.86 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ).
% 0.68/0.86
% 0.68/0.86 cnf(cls_triple_Osplit_0,axiom,
% 0.68/0.86 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_fun1),V_com),V_fun2),t_b,t_a)))
% 0.68/0.87 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_triple_Orecs_0,axiom,
% 0.68/0.87 c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_triple_Ocases_0,axiom,
% 0.68/0.87 c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_weaken_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.68/0.87 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_thin_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.68/0.87 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_asm_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.68/0.87 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_COMBI__def__raw_0,axiom,
% 0.68/0.87 hAPP(c_COMBI(t_a),v_P) = v_P ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_escape_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),V_c),c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Body1_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P,V_pn)),hAPP(c_Com_Ocom_OBODY,V_pn)),hAPP(V_Q,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ hBOOL(c_in(V_pn,V_Procs,tc_Com_Opname))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_WT_OBody_0,axiom,
% 0.68/0.87 ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))
% 0.68/0.87 | hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_COMBB__def__raw_0,axiom,
% 0.68/0.87 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_COMBS__def__raw_0,axiom,
% 0.68/0.87 hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_COMBC__def__raw_0,axiom,
% 0.68/0.87 hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_the_Osimps_0,axiom,
% 0.68/0.87 hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Loop_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),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)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a)),V_c),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_OIf_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OCond(V_b,V_c,V_d)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),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),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a)),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_evaln__elim__cases_I6_J_1,axiom,
% 0.68/0.87 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)
% 0.68/0.87 | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_evaln_OBody_0,axiom,
% 0.68/0.87 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,c_Suc(V_n),V_s1)
% 0.68/0.87 | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_bot__fun__eq_0,axiom,
% 0.68/0.87 ( ~ class_Orderings_Obot(T_b)
% 0.68/0.87 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Sup__empty_0,axiom,
% 0.68/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.68/0.87 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_singleton__conv2_0,axiom,
% 0.68/0.87 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_subset__singletonD_0,axiom,
% 0.68/0.87 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.68/0.87 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.68/0.87 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_singleton__iff_1,axiom,
% 0.68/0.87 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.68/0.87 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.68/0.87 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.68/0.87 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.68/0.87 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Sup__singleton_0,axiom,
% 0.68/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.68/0.87 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 0.68/0.87 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_fold1Set__sing_1,axiom,
% 0.68/0.87 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Min__singleton_0,axiom,
% 0.68/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.68/0.87 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 0.68/0.87 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.68/0.87 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.68/0.87 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.68/0.87 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.68/0.87 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Diff__insert2_0,axiom,
% 0.68/0.87 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Diff__insert_0,axiom,
% 0.68/0.87 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_fold1Set__sing_0,axiom,
% 0.68/0.87 ( V_a = V_b
% 0.68/0.87 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_contents__eq_0,axiom,
% 0.68/0.87 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 0.68/0.87 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.68/0.87 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_singletonE_0,axiom,
% 0.68/0.87 ( V_b = V_a
% 0.68/0.87 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_fold1__singleton_0,axiom,
% 0.68/0.87 c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Max__singleton_0,axiom,
% 0.68/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.68/0.87 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__Diff__single_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.68/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.68/0.87 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.68/0.87 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__is__Un_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Inf__singleton_0,axiom,
% 0.68/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.68/0.87 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq12_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | 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)))
% 0.68/0.87 | ~ 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)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | 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))) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ 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)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq2_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq12_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq1_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq_2,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_x),V_c),V_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq1_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq12_2,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P_H),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conseq2_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q_H),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_escape_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.68/0.87 | 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))) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_COMBK__def__raw_0,axiom,
% 0.68/0.87 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Body__triple__valid__Suc_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Body__triple__valid__Suc_1,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_evalc_OBody_0,axiom,
% 0.68/0.87 ( c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,V_s1)
% 0.68/0.87 | ~ c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_s1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_evalc__elim__cases_I6_J_0,axiom,
% 0.68/0.87 ( c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,V_s1)
% 0.68/0.87 | ~ c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_s1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 0.68/0.87 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_Comp_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSemi(V_c,V_d)),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q),V_d),V_R),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__code_1,axiom,
% 0.68/0.87 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_cut_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_empty__not__insert_0,axiom,
% 0.68/0.87 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_triple_Oinject_2,axiom,
% 0.68/0.87 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.68/0.87 | V_fun2 = V_fun2_H ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_triple_Oinject_1,axiom,
% 0.68/0.87 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.68/0.87 | V_com = V_com_H ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_triple_Oinject_0,axiom,
% 0.68/0.87 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)
% 0.68/0.87 | V_fun1 = V_fun1_H ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.68/0.87 | V_b = V_c
% 0.68/0.87 | V_b = V_d ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.68/0.87 | V_a = V_d
% 0.68/0.87 | V_b = V_d ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.68/0.87 | V_b = V_c
% 0.68/0.87 | V_a = V_c ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.68/0.87 | V_a = V_d
% 0.68/0.87 | V_a = V_c ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_bot1E_0,axiom,
% 0.68/0.87 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_empty_0,axiom,
% 0.68/0.87 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_BodyN_0,axiom,
% 0.68/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.68/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__code_0,axiom,
% 0.68/0.87 ( hBOOL(hAPP(V_A,V_x))
% 0.68/0.87 | V_y = V_x
% 0.68/0.87 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__absorb2_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__not__empty_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__commute_0,axiom,
% 0.68/0.87 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.68/0.87 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_singleton__inject_0,axiom,
% 0.68/0.87 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.68/0.87 | V_a = V_b ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_insert__code_2,axiom,
% 0.68/0.87 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.68/0.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_com_Osimps_I6_J_0,axiom,
% 0.68/0.87 ( hAPP(c_Com_Ocom_OBODY,V_pname) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
% 0.68/0.87 | V_pname = V_pname_H ) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conjecture_0,negated_conjecture,
% 0.68/0.87 c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_conjecture_1,negated_conjecture,
% 0.68/0.87 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.68/0.87 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.68/0.87 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.68/0.87 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.68/0.87 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.68/0.87 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.68/0.87 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.68/0.87 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_Orderings_Obot(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.68/0.87 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_HOL_Ominus(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.68/0.87 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.68/0.87 | ~ class_HOL_Oord(T_1) ) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.68/0.87 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.68/0.87 class_Orderings_Opreorder(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.68/0.87 class_Orderings_Olinorder(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.68/0.87 class_Lattices_Olattice(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.68/0.87 class_Orderings_Oorder(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.68/0.87 class_Orderings_Obot(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__HOL_Ominus,axiom,
% 0.68/0.87 class_HOL_Ominus(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.68/0.87 class_HOL_Oord(tc_nat) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.68/0.87 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.68/0.87 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.68/0.87 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.68/0.87 class_Orderings_Opreorder(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.68/0.87 class_Lattices_Olattice(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.68/0.87 class_Orderings_Oorder(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.68/0.87 class_Orderings_Obot(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.68/0.87 class_HOL_Ominus(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.68/0.87 class_HOL_Oord(tc_bool) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.68/0.87 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.68/0.87
% 0.68/0.87 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.68/0.87 ( V_X = V_Y
% 0.68/0.87 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.68/0.87
% 0.68/0.87 %------------------------------------------------------------------------------
% 0.68/0.87 %-------------------------------------------
% 0.68/0.87 % Proof found
% 0.68/0.87 % SZS status Theorem for theBenchmark
% 0.68/0.87 % SZS output start Proof
% 0.68/0.87 %ClaNum:680(EqnAxiom:214)
% 0.68/0.87 %VarNum:3498(SingletonVarNum:1517)
% 0.68/0.87 %MaxLitNum:4
% 0.68/0.87 %MaxfuncDepth:6
% 0.68/0.87 %SharedTerms:91
% 0.68/0.87 %goalClause: 306 388
% 0.68/0.87 %singleGoalClaCount:2
% 0.68/0.87 [215]P1(a1)
% 0.68/0.87 [216]P1(a53)
% 0.68/0.87 [217]P2(a1)
% 0.68/0.87 [218]P2(a53)
% 0.68/0.87 [219]P3(a2)
% 0.68/0.87 [220]P4(a1)
% 0.68/0.87 [221]P15(a1)
% 0.68/0.87 [222]P15(a53)
% 0.68/0.87 [223]P11(a1)
% 0.68/0.87 [224]P11(a53)
% 0.68/0.87 [225]P12(a1)
% 0.68/0.87 [226]P12(a53)
% 0.68/0.87 [227]P13(a1)
% 0.68/0.87 [228]P16(a1)
% 0.68/0.87 [229]P16(a53)
% 0.68/0.87 [230]P21(a1)
% 0.68/0.87 [231]P21(a53)
% 0.68/0.87 [232]P20(a53)
% 0.68/0.87 [251]E(f45(a58,f40(f54(a13,a1)),a13),f14(f40(f54(a13,a1)),a58))
% 0.68/0.87 [306]P6(a56,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),a55),f14(f15(a49),f14(a9,a60))),a57)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)
% 0.68/0.87 [388]~P6(f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),a55),f14(a7,a60)),a57)),a56,f54(f47(a13),a1)),f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),a55),f14(f15(a49),f14(a9,a60))),a57)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)
% 0.68/0.87 [236]P5(a2,x2361,x2361)
% 0.68/0.87 [330]~E(f44(x3301),x3301)
% 0.68/0.87 [334]~E(f44(x3341),f29(a53))
% 0.68/0.87 [336]~E(f14(a7,x3361),a2)
% 0.68/0.87 [258]P10(a2,x2581,x2582,x2581)
% 0.68/0.87 [239]P9(x2391,x2391,f54(x2392,a1))
% 0.68/0.87 [339]~E(f21(x3391,x3392),a2)
% 0.68/0.87 [340]~E(f22(x3401,x3402),a2)
% 0.68/0.87 [344]~E(f16(x3441,x3442),f36(x3442))
% 0.68/0.87 [234]E(f14(f3(x2341),x2342),x2342)
% 0.68/0.87 [235]E(f14(f15(x2351),f16(x2352,x2351)),x2352)
% 0.68/0.87 [240]E(f17(x2401,x2401,f54(x2402,a1)),x2401)
% 0.68/0.87 [241]E(f18(x2411,x2411,f54(x2412,a1)),f40(f54(x2412,a1)))
% 0.68/0.87 [245]P9(f40(f54(x2451,a1)),x2452,f54(x2451,a1))
% 0.68/0.87 [246]E(f17(x2461,f40(f54(x2462,a1)),f54(x2462,a1)),x2461)
% 0.68/0.87 [247]E(f18(x2471,f40(f54(x2472,a1)),f54(x2472,a1)),x2471)
% 0.68/0.87 [248]E(f17(f40(f54(x2481,a1)),x2482,f54(x2481,a1)),x2482)
% 0.68/0.87 [252]E(f18(f40(f54(x2521,a1)),x2522,f54(x2521,a1)),f40(f54(x2521,a1)))
% 0.68/0.87 [259]E(f41(f3(x2591),x2592,x2591,x2591),x2592)
% 0.68/0.87 [281]E(f17(f14(f4(f38(x2811),x2811,x2811,a1),x2812),f40(f54(x2811,a1)),f54(x2811,a1)),f14(f38(x2811),x2812))
% 0.68/0.87 [237]E(f39(f14(f38(x2371),x2372),x2371),x2372)
% 0.68/0.87 [242]P22(f14(f14(f38(x2421),x2422),x2422))
% 0.68/0.87 [249]P6(x2491,f40(f54(f47(x2492),a1)),x2492)
% 0.68/0.87 [286]E(f39(f17(f14(f4(f38(x2861),x2861,x2861,a1),x2862),f40(f54(x2861,a1)),f54(x2861,a1)),x2861),x2862)
% 0.68/0.87 [287]E(f42(f17(f14(f4(f38(x2871),x2871,x2871,a1),x2872),f40(f54(x2871,a1)),f54(x2871,a1)),x2871),x2872)
% 0.68/0.87 [381]~P22(f14(f40(f54(x3811,a1)),x3812))
% 0.68/0.87 [384]~P22(f45(x3841,f40(f54(x3842,a1)),x3842))
% 0.68/0.87 [279]E(f39(f14(f4(f38(x2791),x2791,x2791,a1),x2792),x2791),x2792)
% 0.68/0.87 [321]P22(f14(f17(f14(f4(f38(x3211),x3211,x3211,a1),x3212),f40(f54(x3211,a1)),f54(x3211,a1)),f34(f17(f14(f4(f38(x3211),x3211,x3211,a1),x3212),f40(f54(x3211,a1)),f54(x3211,a1)),x3211)))
% 0.68/0.87 [345]~E(f21(x3451,x3452),f14(a7,x3453))
% 0.68/0.87 [346]~E(f22(x3461,x3462),f14(a7,x3463))
% 0.68/0.87 [347]~E(f14(a7,x3471),f21(x3472,x3473))
% 0.68/0.87 [348]~E(f14(a7,x3481),f22(x3482,x3483))
% 0.68/0.87 [354]~E(f10(x3541,x3542,x3543),a2)
% 0.68/0.87 [355]~E(f11(x3551,x3552,x3553),a2)
% 0.68/0.87 [356]~E(f12(x3561,x3562,x3563),a2)
% 0.68/0.87 [250]E(f17(x2501,x2502,f54(x2503,a1)),f17(x2502,x2501,f54(x2503,a1)))
% 0.68/0.87 [255]P9(x2551,f17(x2552,x2551,f54(x2553,a1)),f54(x2553,a1))
% 0.68/0.87 [256]P9(x2561,f17(x2561,x2562,f54(x2563,a1)),f54(x2563,a1))
% 0.68/0.87 [257]P9(f18(x2571,x2572,f54(x2573,a1)),x2571,f54(x2573,a1))
% 0.68/0.87 [260]E(f17(x2601,f17(x2601,x2602,f54(x2603,a1)),f54(x2603,a1)),f17(x2601,x2602,f54(x2603,a1)))
% 0.68/0.87 [261]E(f17(x2611,f18(x2612,x2611,f54(x2613,a1)),f54(x2613,a1)),f17(x2611,x2612,f54(x2613,a1)))
% 0.68/0.87 [262]E(f17(f18(x2621,x2622,f54(x2623,a1)),x2622,f54(x2623,a1)),f17(x2621,x2622,f54(x2623,a1)))
% 0.68/0.87 [263]E(f18(f18(x2631,x2632,f54(x2633,a1)),x2632,f54(x2633,a1)),f18(x2631,x2632,f54(x2633,a1)))
% 0.68/0.87 [270]E(f19(f40(f54(x2701,a1)),f6(x2702,f54(x2703,a1),x2701),x2701,f54(x2703,a1)),f40(f54(x2703,a1)))
% 0.68/0.87 [271]E(f19(x2711,f6(f40(f54(x2712,a1)),f54(x2712,a1),x2713),x2713,f54(x2712,a1)),f40(f54(x2712,a1)))
% 0.68/0.87 [301]E(f17(f17(f14(f4(f38(x3011),x3011,x3011,a1),x3012),f40(f54(x3011,a1)),f54(x3011,a1)),x3013,f54(x3011,a1)),f17(f14(f4(f38(x3011),x3011,x3011,a1),x3012),x3013,f54(x3011,a1)))
% 0.68/0.87 [317]E(f17(f14(f4(f38(x3171),x3171,x3171,a1),x3172),f18(x3173,f17(f14(f4(f38(x3171),x3171,x3171,a1),x3172),f40(f54(x3171,a1)),f54(x3171,a1)),f54(x3171,a1)),f54(x3171,a1)),f17(f14(f4(f38(x3171),x3171,x3171,a1),x3172),x3173,f54(x3171,a1)))
% 0.68/0.87 [387]~E(f17(f14(f4(f38(x3871),x3871,x3871,a1),x3872),x3873,f54(x3871,a1)),f40(f54(x3871,a1)))
% 0.68/0.87 [265]E(f41(x2651,f40(f54(x2652,a1)),x2652,x2653),f40(f54(x2653,a1)))
% 0.68/0.87 [302]P6(x3021,f17(f14(f4(f38(f47(x3022)),f47(x3022),f47(x3022),a1),f14(f14(f14(f30(x3022),x3023),a2),x3023)),f40(f54(f47(x3022),a1)),f54(f47(x3022),a1)),x3022)
% 0.68/0.87 [308]P22(f14(f17(f14(f4(f38(x3081),x3081,x3081,a1),x3082),x3083,f54(x3081,a1)),x3082))
% 0.68/0.87 [311]P22(f45(x3111,f17(f14(f4(f38(x3112),x3112,x3112,a1),x3111),x3113,f54(x3112,a1)),x3112))
% 0.68/0.87 [313]E(f39(f26(x3131,f17(f14(f4(f38(x3132),x3132,x3132,a1),x3133),f40(f54(x3132,a1)),f54(x3132,a1)),x3132),x3132),x3133)
% 0.68/0.87 [320]P22(f14(f26(x3201,f17(f14(f4(f38(x3202),x3202,x3202,a1),x3203),f40(f54(x3202,a1)),f54(x3202,a1)),x3202),x3203))
% 0.68/0.87 [385]~P22(f14(f26(x3851,f40(f54(x3852,a1)),x3852),x3853))
% 0.68/0.87 [350]~E(f22(x3501,x3502),f21(x3503,x3504))
% 0.68/0.87 [357]~E(f14(a7,x3571),f10(x3572,x3573,x3574))
% 0.68/0.87 [358]~E(f14(a7,x3581),f11(x3582,x3583,x3584))
% 0.68/0.87 [359]~E(f14(a7,x3591),f12(x3592,x3593,x3594))
% 0.68/0.87 [360]~E(f10(x3601,x3602,x3603),f14(a7,x3604))
% 0.68/0.87 [361]~E(f11(x3611,x3612,x3613),f14(a7,x3614))
% 0.68/0.87 [362]~E(f12(x3621,x3622,x3623),f14(a7,x3624))
% 0.68/0.87 [244]E(f14(f6(x2441,x2442,x2443),x2444),x2441)
% 0.68/0.87 [268]E(f17(x2681,f17(x2682,x2683,f54(x2684,a1)),f54(x2684,a1)),f17(x2682,f17(x2681,x2683,f54(x2684,a1)),f54(x2684,a1)))
% 0.68/0.87 [269]E(f17(f17(x2691,x2692,f54(x2693,a1)),x2694,f54(x2693,a1)),f17(x2691,f17(x2692,x2694,f54(x2693,a1)),f54(x2693,a1)))
% 0.68/0.87 [274]E(f17(f18(x2741,x2742,f54(x2743,a1)),f18(x2744,x2742,f54(x2743,a1)),f54(x2743,a1)),f18(f17(x2741,x2744,f54(x2743,a1)),x2742,f54(x2743,a1)))
% 0.68/0.87 [275]E(f17(x2751,f19(f40(f54(x2752,a1)),x2753,x2752,f54(x2754,a1)),f54(x2754,a1)),x2751)
% 0.68/0.87 [276]E(f18(x2761,f19(f40(f54(x2762,a1)),x2763,x2762,f54(x2764,a1)),f54(x2764,a1)),x2761)
% 0.68/0.87 [277]E(f17(f19(f40(f54(x2771,a1)),x2772,x2771,f54(x2773,a1)),x2774,f54(x2773,a1)),x2774)
% 0.68/0.87 [296]E(f17(f14(f4(f38(x2961),x2961,x2961,a1),x2962),f19(f40(f54(x2963,a1)),x2964,x2963,f54(x2961,a1)),f54(x2961,a1)),f17(f14(f4(f38(x2961),x2961,x2961,a1),x2962),f40(f54(x2961,a1)),f54(x2961,a1)))
% 0.68/0.87 [314]E(f18(f18(x3141,x3142,f54(x3143,a1)),f17(f14(f4(f38(x3143),x3143,x3143,a1),x3144),f40(f54(x3143,a1)),f54(x3143,a1)),f54(x3143,a1)),f18(x3141,f17(f14(f4(f38(x3143),x3143,x3143,a1),x3144),x3142,f54(x3143,a1)),f54(x3143,a1)))
% 0.68/0.87 [318]E(f18(f18(x3181,f17(f14(f4(f38(x3182),x3182,x3182,a1),x3183),f40(f54(x3182,a1)),f54(x3182,a1)),f54(x3182,a1)),x3184,f54(x3182,a1)),f18(x3181,f17(f14(f4(f38(x3182),x3182,x3182,a1),x3183),x3184,f54(x3182,a1)),f54(x3182,a1)))
% 0.68/0.87 [266]P8(f29(a53),f14(f14(f14(f30(x2661),x2662),f14(a7,x2663)),x2664),x2661)
% 0.68/0.87 [295]E(f14(f25(f6(x2951,x2952,x2953),x2954,x2953,x2952,a13),a58),x2951)
% 0.68/0.87 [363]~E(f21(x3631,x3632),f10(x3633,x3634,x3635))
% 0.68/0.87 [364]~E(f21(x3641,x3642),f11(x3643,x3644,x3645))
% 0.68/0.87 [365]~E(f21(x3651,x3652),f12(x3653,x3654,x3655))
% 0.68/0.87 [366]~E(f22(x3661,x3662),f10(x3663,x3664,x3665))
% 0.68/0.87 [367]~E(f22(x3671,x3672),f11(x3673,x3674,x3675))
% 0.68/0.87 [368]~E(f22(x3681,x3682),f12(x3683,x3684,x3685))
% 0.68/0.87 [369]~E(f10(x3691,x3692,x3693),f21(x3694,x3695))
% 0.68/0.87 [370]~E(f10(x3701,x3702,x3703),f22(x3704,x3705))
% 0.68/0.87 [371]~E(f11(x3711,x3712,x3713),f21(x3714,x3715))
% 0.68/0.87 [372]~E(f11(x3721,x3722,x3723),f22(x3724,x3725))
% 0.68/0.87 [373]~E(f12(x3731,x3732,x3733),f21(x3734,x3735))
% 0.68/0.87 [374]~E(f12(x3741,x3742,x3743),f22(x3744,x3745))
% 0.68/0.87 [283]E(f17(f19(x2831,x2832,x2833,f54(x2834,a1)),f19(x2835,x2832,x2833,f54(x2834,a1)),f54(x2834,a1)),f19(f17(x2831,x2835,f54(x2833,a1)),x2832,x2833,f54(x2834,a1)))
% 0.68/0.87 [298]E(f19(f17(f14(f4(f38(x2981),x2981,x2981,a1),x2982),x2983,f54(x2981,a1)),x2984,x2981,f54(x2985,a1)),f17(f14(x2984,x2982),f19(x2983,x2984,x2981,f54(x2985,a1)),f54(x2985,a1)))
% 0.68/0.87 [282]E(f17(f41(x2821,x2822,x2823,x2824),f41(x2821,x2825,x2823,x2824),f54(x2824,a1)),f41(x2821,f17(x2822,x2825,f54(x2823,a1)),x2823,x2824))
% 0.68/0.87 [297]P9(f18(f41(x2971,x2972,x2973,x2974),f41(x2971,x2975,x2973,x2974),f54(x2974,a1)),f41(x2971,f18(x2972,x2975,f54(x2973,a1)),x2973,x2974),f54(x2974,a1))
% 0.68/0.87 [305]E(f41(x3051,f17(f14(f4(f38(x3052),x3052,x3052,a1),x3053),x3054,f54(x3052,a1)),x3052,x3055),f17(f14(f4(f38(x3055),x3055,x3055,a1),f14(x3051,x3053)),f41(x3051,x3054,x3052,x3055),f54(x3055,a1)))
% 0.68/0.87 [376]~E(f11(x3761,x3762,x3763),f10(x3764,x3765,x3766))
% 0.68/0.87 [379]~E(f12(x3791,x3792,x3793),f10(x3794,x3795,x3796))
% 0.68/0.87 [380]~E(f12(x3801,x3802,x3803),f11(x3804,x3805,x3806))
% 0.68/0.87 [292]E(f14(f5(x2921,x2922,x2923,x2924,x2925),x2926),f14(x2921,f14(x2922,x2926)))
% 0.68/0.87 [293]E(f14(f25(x2931,x2932,x2933,x2934,x2935),x2936),f14(x2931,f14(x2932,x2936)))
% 0.68/0.87 [294]E(f14(f8(x2941,x2942,x2943,x2944,x2945),x2946),f14(f14(x2941,x2946),f14(x2942,x2946)))
% 0.68/0.87 [299]E(f41(x2991,f41(x2992,x2993,x2994,x2995),x2995,x2996),f41(f5(x2991,x2992,x2995,x2996,x2994),x2993,x2994,x2996))
% 0.68/0.87 [300]E(f41(f25(x3001,x3002,x3003,x3004,x3005),x3006,x3005,x3004),f41(x3001,f41(x3002,x3006,x3005,x3003),x3003,x3004))
% 0.68/0.87 [280]E(f14(f14(f4(x2801,x2802,x2803,x2804),x2805),x2806),f14(f14(x2801,x2806),x2805))
% 0.68/0.87 [272]E(f32(x2721,f14(f14(f14(f30(x2722),x2723),x2724),x2725),x2722,x2726),f14(f14(f14(x2721,x2723),x2724),x2725))
% 0.68/0.87 [273]E(f33(x2731,f14(f14(f14(f30(x2732),x2733),x2734),x2735),x2732,x2736),f14(f14(f14(x2731,x2733),x2734),x2735))
% 0.68/0.87 [319]E(f25(x3191,f25(x3192,x3193,x3194,x3195,x3196),x3195,x3197,x3196),f25(f25(x3191,x3192,x3195,x3197,x3194),x3193,x3194,x3197,x3196))
% 0.68/0.87 [322]E(f20(x3221,x3222,x3223,x3224,x3225,x3226,x3227,x3228,a2,x3229),x3221)
% 0.68/0.87 [323]E(f20(x3231,x3232,x3233,x3234,x3235,x3236,x3237,x3238,f14(a7,x3239),x32310),f14(x3237,x3239))
% 0.68/0.87 [324]E(f20(x3241,x3242,x3243,x3244,x3245,x3246,x3247,x3248,f21(x3249,x32410),x32411),f14(f14(x3246,x3249),x32410))
% 0.68/0.87 [325]E(f20(x3251,x3252,x3253,x3254,x3255,x3256,x3257,x3258,f22(x3259,x32510),x32511),f14(f14(x3254,x3259),x32510))
% 0.68/0.87 [326]E(f20(x3261,x3262,x3263,x3264,x3265,x3266,x3267,x3268,f10(x3269,x32610,x32611),x32612),f14(f14(f14(x3268,x3269),x32610),x32611))
% 0.68/0.87 [327]E(f20(x3271,x3272,x3273,x3274,x3275,x3276,x3277,x3278,f11(x3279,x32710,x32711),x32712),f14(f14(f14(x3275,x3279),x32710),x32711))
% 0.68/0.87 [328]E(f20(x3281,x3282,x3283,x3284,x3285,x3286,x3287,x3288,f12(x3289,x32810,x32811),x32812),f14(f14(f14(x3283,x3289),x32810),x32811))
% 0.68/0.87 [402]E(f14(a9,x4021),f36(a49))+P3(f14(a7,x4021))
% 0.68/0.87 [423]~P16(x4231)+E(f14(f40(f54(a13,x4231)),a58),f40(x4231))
% 0.68/0.87 [424]~P4(x4241)+E(f23(f40(f54(x4241,a1)),x4241),f40(x4241))
% 0.68/0.87 [412]~P15(x4122)+P9(x4121,x4121,x4122)
% 0.68/0.87 [413]~P21(x4132)+P9(x4131,x4131,x4132)
% 0.68/0.87 [425]E(x4251,x4252)+~P5(a2,x4252,x4251)
% 0.68/0.87 [390]E(x3901,x3902)+~E(f44(x3901),f44(x3902))
% 0.68/0.87 [391]~P2(x3912)+P1(f54(x3911,x3912))
% 0.68/0.87 [392]~P2(x3922)+P2(f54(x3921,x3922))
% 0.68/0.87 [393]~P3(x3932)+P3(f21(x3931,x3932))
% 0.68/0.87 [394]~P4(x3942)+P4(f54(x3941,x3942))
% 0.68/0.87 [395]~P15(x3952)+P15(f54(x3951,x3952))
% 0.68/0.87 [396]~P11(x3962)+P11(f54(x3961,x3962))
% 0.68/0.87 [397]~P12(x3972)+P12(f54(x3971,x3972))
% 0.68/0.87 [398]~P13(x3982)+P13(f54(x3981,x3982))
% 0.68/0.87 [399]~P16(x3992)+P16(f54(x3991,x3992))
% 0.68/0.87 [400]~P21(x4002)+P21(f54(x4001,x4002))
% 0.68/0.87 [401]E(x4011,x4012)+~E(f14(a7,x4011),f14(a7,x4012))
% 0.68/0.87 [409]P3(x4091)+~P3(f21(x4092,x4091))
% 0.68/0.87 [410]P3(x4101)+~P3(f22(x4102,x4101))
% 0.68/0.87 [411]P3(x4111)+~P3(f22(x4111,x4112))
% 0.68/0.87 [414]~P1(x4142)+E(f17(x4141,x4141,x4142),x4141)
% 0.68/0.87 [416]~P17(x4162)+E(f18(x4161,x4161,x4162),f29(x4162))
% 0.68/0.87 [417]~P18(x4172)+E(f18(x4171,x4171,x4172),f29(x4172))
% 0.68/0.87 [418]~P16(x4181)+P9(f40(x4181),x4182,x4181)
% 0.68/0.87 [419]~P13(x4192)+E(f17(x4191,f40(x4192),x4192),x4191)
% 0.68/0.87 [420]~P17(x4202)+E(f18(x4201,f29(x4202),x4202),x4201)
% 0.68/0.87 [421]~P13(x4211)+E(f17(f40(x4211),x4212,x4211),x4212)
% 0.68/0.87 [488]~P9(x4881,f40(f54(x4882,a1)),f54(x4882,a1))+E(x4881,f40(f54(x4882,a1)))
% 0.68/0.87 [588]~P15(x5882)+E(f43(x5881,x5881,x5882),f17(f14(f4(f38(x5882),x5882,x5882,a1),x5881),f40(f54(x5882,a1)),f54(x5882,a1)))
% 0.68/0.87 [607]~P4(x6071)+E(f23(f17(f14(f4(f38(x6071),x6071,x6071,a1),x6072),f40(f54(x6071,a1)),f54(x6071,a1)),x6071),x6072)
% 0.68/0.87 [608]~P4(x6081)+E(f24(f17(f14(f4(f38(x6081),x6081,x6081,a1),x6082),f40(f54(x6081,a1)),f54(x6081,a1)),x6081),x6082)
% 0.68/0.87 [609]~P20(x6091)+E(f27(f17(f14(f4(f38(x6091),x6091,x6091,a1),x6092),f40(f54(x6091,a1)),f54(x6091,a1)),x6091),x6092)
% 0.68/0.87 [610]~P20(x6101)+E(f28(f17(f14(f4(f38(x6101),x6101,x6101,a1),x6102),f40(f54(x6101,a1)),f54(x6101,a1)),x6101),x6102)
% 0.68/0.87 [537]E(x5371,x5372)+~P10(a2,x5372,x5373,x5371)
% 0.68/0.87 [408]E(x4081,x4082)+~E(f16(x4081,x4083),f16(x4082,x4083))
% 0.68/0.87 [433]P5(f21(x4331,x4333),x4332,x4332)+P22(f14(x4331,x4332))
% 0.68/0.87 [434]~P1(x4343)+E(f17(x4341,x4342,x4343),f17(x4342,x4341,x4343))
% 0.68/0.87 [435]~P2(x4353)+E(f17(x4351,x4352,x4353),f17(x4352,x4351,x4353))
% 0.68/0.87 [437]~P3(x4373)+P3(f12(x4371,x4372,x4373))
% 0.68/0.87 [444]P8(x4441,x4442,x4443)+~P8(f44(x4441),x4442,x4443)
% 0.68/0.87 [445]P3(f10(x4451,x4452,x4453))+~P3(f14(a7,x4452))
% 0.68/0.87 [447]~P22(f14(x4472,x4471))+P22(f45(x4471,x4472,x4473))
% 0.68/0.87 [449]~P1(x4493)+P9(x4491,f17(x4492,x4491,x4493),x4493)
% 0.68/0.87 [450]~P2(x4503)+P9(x4501,f17(x4502,x4501,x4503),x4503)
% 0.68/0.87 [451]~P1(x4513)+P9(x4511,f17(x4511,x4512,x4513),x4513)
% 0.68/0.87 [452]~P2(x4523)+P9(x4521,f17(x4521,x4522,x4523),x4523)
% 0.68/0.87 [464]P3(x4641)+~P3(f11(x4642,x4643,x4641))
% 0.68/0.87 [465]P3(x4651)+~P3(f11(x4652,x4651,x4653))
% 0.68/0.87 [466]P3(x4661)+~P3(f12(x4662,x4663,x4661))
% 0.68/0.87 [480]~P3(f10(x4802,x4801,x4803))+P3(f14(a7,x4801))
% 0.68/0.87 [482]P22(f14(x4821,x4822))+~P22(f45(x4822,x4821,x4823))
% 0.68/0.87 [426]~P22(f14(x4261,x4263))+~E(x4261,f40(f54(x4262,a1)))
% 0.68/0.87 [427]~P22(f14(x4272,x4273))+~E(f40(f54(x4271,a1)),x4272)
% 0.68/0.87 [472]E(x4721,f40(f54(x4722,a1)))+~E(f17(x4723,x4721,f54(x4722,a1)),f40(f54(x4722,a1)))
% 0.68/0.87 [473]E(x4731,f40(f54(x4732,a1)))+~E(f17(x4731,x4733,f54(x4732,a1)),f40(f54(x4732,a1)))
% 0.68/0.87 [474]P6(x4741,x4742,x4743)+~P9(x4742,x4741,f54(f47(x4743),a1))
% 0.68/0.87 [477]~P9(x4771,x4772,f54(x4773,a1))+E(f17(x4771,x4772,f54(x4773,a1)),x4772)
% 0.68/0.87 [478]~P9(x4782,x4781,f54(x4783,a1))+E(f17(x4781,x4782,f54(x4783,a1)),x4781)
% 0.68/0.87 [479]P9(x4791,x4792,f54(x4793,a1))+~E(f17(x4791,x4792,f54(x4793,a1)),x4792)
% 0.68/0.87 [485]~P1(x4853)+E(f17(x4851,f17(x4851,x4852,x4853),x4853),f17(x4851,x4852,x4853))
% 0.68/0.87 [486]~P2(x4863)+E(f17(x4861,f17(x4861,x4862,x4863),x4863),f17(x4861,x4862,x4863))
% 0.68/0.87 [495]~P5(f14(a7,x4951),x4952,x4953)+P5(f14(f15(a49),f14(a9,x4951)),x4952,x4953)
% 0.68/0.87 [506]P5(f14(a7,x5061),x5062,x5063)+~P5(f14(f15(a49),f14(a9,x5061)),x5062,x5063)
% 0.68/0.87 [526]~P9(x5261,x5262,f54(x5263,a1))+E(f17(x5261,f18(x5262,x5261,f54(x5263,a1)),f54(x5263,a1)),x5262)
% 0.68/0.87 [592]~P22(f45(x5922,x5923,x5921))+E(f17(f14(f4(f38(x5921),x5921,x5921,a1),x5922),x5923,f54(x5921,a1)),x5923)
% 0.68/0.87 [618]E(x6181,x6182)+~E(f17(f14(f4(f38(x6183),x6183,x6183,a1),x6181),f40(f54(x6183,a1)),f54(x6183,a1)),f17(f14(f4(f38(x6183),x6183,x6183,a1),x6182),f40(f54(x6183,a1)),f54(x6183,a1)))
% 0.68/0.87 [630]P22(f45(x6302,x6303,x6301))+E(f18(f17(f14(f4(f38(x6301),x6301,x6301,a1),x6302),x6303,f54(x6301,a1)),f17(f14(f4(f38(x6301),x6301,x6301,a1),x6302),f40(f54(x6301,a1)),f54(x6301,a1)),f54(x6301,a1)),x6303)
% 0.68/0.87 [633]~P22(f45(x6332,x6333,x6331))+E(f17(f14(f4(f38(x6331),x6331,x6331,a1),x6332),f18(x6333,f17(f14(f4(f38(x6331),x6331,x6331,a1),x6332),f40(f54(x6331,a1)),f54(x6331,a1)),f54(x6331,a1)),f54(x6331,a1)),x6333)
% 0.68/0.87 [453]E(x4531,x4532)+~P22(f14(f14(f38(x4533),x4531),x4532))
% 0.68/0.87 [501]~P2(x5013)+E(f17(f14(x5011,a58),f14(x5012,a58),x5013),f14(f17(x5011,x5012,f54(a13,x5013)),a58))
% 0.68/0.87 [502]~P11(x5023)+E(f18(f14(x5021,a58),f14(x5022,a58),x5023),f14(f18(x5021,x5022,f54(a13,x5023)),a58))
% 0.68/0.87 [606]~P4(x6061)+E(f23(f17(f14(f4(f38(x6061),x6061,x6061,a1),x6062),x6063,f54(x6061,a1)),x6061),f17(x6062,f23(x6063,x6061),x6061))
% 0.68/0.87 [638]~P4(x6381)+E(f23(f17(f14(f4(f38(x6381),x6381,x6381,a1),x6382),f17(f14(f4(f38(x6381),x6381,x6381,a1),x6383),f40(f54(x6381,a1)),f54(x6381,a1)),f54(x6381,a1)),x6381),f17(x6382,x6383,x6381))
% 0.68/0.87 [641]E(x6411,x6412)+~P22(f45(x6411,f17(f14(f4(f38(x6413),x6413,x6413,a1),x6412),f40(f54(x6413,a1)),f54(x6413,a1)),x6413))
% 0.68/0.87 [647]E(x6471,f34(f17(f14(f4(f38(x6472),x6472,x6472,a1),x6473),f40(f54(x6472,a1)),f54(x6472,a1)),x6472))+~P22(f14(f17(f14(f4(f38(x6472),x6472,x6472,a1),x6473),f40(f54(x6472,a1)),f54(x6472,a1)),x6471))
% 0.68/0.87 [546]P5(x5461,x5462,x5463)+~P10(x5461,x5462,x5464,x5463)
% 0.68/0.87 [404]E(x4041,x4042)+~E(f21(x4043,x4041),f21(x4044,x4042))
% 0.68/0.87 [405]E(x4051,x4052)+~E(f22(x4053,x4051),f22(x4054,x4052))
% 0.68/0.87 [406]E(x4061,x4062)+~E(f21(x4061,x4063),f21(x4062,x4064))
% 0.68/0.87 [407]E(x4071,x4072)+~E(f22(x4071,x4073),f22(x4072,x4074))
% 0.68/0.87 [508]P10(f21(x5081,x5083),x5082,x5084,x5082)+P22(f14(x5081,x5082))
% 0.68/0.87 [564]~P10(x5641,x5642,x5643,x5644)+P10(x5641,x5642,f44(x5643),x5644)
% 0.68/0.87 [517]~P1(x5174)+E(f17(x5171,f17(x5172,x5173,x5174),x5174),f17(x5172,f17(x5171,x5173,x5174),x5174))
% 0.68/0.87 [518]~P2(x5184)+E(f17(x5181,f17(x5182,x5183,x5184),x5184),f17(x5182,f17(x5181,x5183,x5184),x5184))
% 0.68/0.87 [519]~P1(x5193)+E(f17(f17(x5191,x5192,x5193),x5194,x5193),f17(x5191,f17(x5192,x5194,x5193),x5193))
% 0.68/0.87 [520]~P2(x5203)+E(f17(f17(x5201,x5202,x5203),x5204,x5203),f17(x5201,f17(x5202,x5204,x5203),x5203))
% 0.68/0.87 [543]P9(x5431,x5432,f54(x5433,a1))+~P9(f17(x5434,x5431,f54(x5433,a1)),x5432,f54(x5433,a1))
% 0.68/0.87 [544]P9(x5441,x5442,f54(x5443,a1))+~P9(f17(x5441,x5444,f54(x5443,a1)),x5442,f54(x5443,a1))
% 0.68/0.87 [547]E(f19(x5471,f6(x5473,f54(x5474,a1),x5472),x5472,f54(x5474,a1)),x5473)+E(x5471,f40(f54(x5472,a1)))
% 0.68/0.87 [549]~E(f41(x5493,x5491,x5492,x5494),f40(f54(x5494,a1)))+E(x5491,f40(f54(x5492,a1)))
% 0.68/0.87 [558]~P9(f18(x5581,x5582,f54(x5584,a1)),x5583,f54(x5584,a1))+P9(x5581,f17(x5582,x5583,f54(x5584,a1)),f54(x5584,a1))
% 0.68/0.87 [559]~P9(x5591,f17(x5592,x5594,f54(x5593,a1)),f54(x5593,a1))+P9(f18(x5591,x5592,f54(x5593,a1)),x5594,f54(x5593,a1))
% 0.68/0.87 [572]P10(f14(a7,x5721),x5722,f44(x5723),x5724)+~P10(f14(f15(a49),f14(a9,x5721)),x5722,x5723,x5724)
% 0.68/0.87 [579]~P10(f14(a7,x5791),x5793,x5792,x5794)+E(f44(f35(x5791,x5792,x5793,x5794)),x5792)
% 0.68/0.87 [590]~P10(f14(a7,x5901),x5902,x5903,x5904)+P10(f14(f15(a49),f14(a9,x5901)),x5902,f35(x5901,x5903,x5902,x5904),x5904)
% 0.68/0.87 [600]E(f41(f6(x6003,x6004,x6002),x6001,x6002,x6004),f17(f14(f4(f38(x6004),x6004,x6004,a1),x6003),f40(f54(x6004,a1)),f54(x6004,a1)))+E(x6001,f40(f54(x6002,a1)))
% 0.68/0.87 [611]~P9(x6111,x6114,f54(x6112,a1))+P9(x6111,f17(f14(f4(f38(x6112),x6112,x6112,a1),x6113),x6114,f54(x6112,a1)),f54(x6112,a1))
% 0.68/0.87 [614]~P22(f45(x6142,x6144,x6141))+E(f18(f17(f14(f4(f38(x6141),x6141,x6141,a1),x6142),x6143,f54(x6141,a1)),x6144,f54(x6141,a1)),f18(x6143,x6144,f54(x6141,a1)))
% 0.68/0.87 [619]P22(f45(x6192,x6194,x6191))+E(f18(f17(f14(f4(f38(x6191),x6191,x6191,a1),x6192),x6193,f54(x6191,a1)),x6194,f54(x6191,a1)),f17(f14(f4(f38(x6191),x6191,x6191,a1),x6192),f18(x6193,x6194,f54(x6191,a1)),f54(x6191,a1)))
% 0.68/0.87 [622]~P9(f17(f14(f4(f38(x6223),x6223,x6223,a1),x6221),x6224,f54(x6223,a1)),x6222,f54(x6223,a1))+P22(f45(x6221,x6222,x6223))
% 0.68/0.87 [627]~P9(x6273,x6274,f54(x6271,a1))+P9(f17(f14(f4(f38(x6271),x6271,x6271,a1),x6272),x6273,f54(x6271,a1)),f17(f14(f4(f38(x6271),x6271,x6271,a1),x6272),x6274,f54(x6271,a1)),f54(x6271,a1))
% 0.68/0.87 [534]~P22(f14(x5342,x5344))+P22(f14(f17(x5341,x5342,f54(x5343,a1)),x5344))
% 0.68/0.87 [535]~P22(f14(x5351,x5354))+P22(f14(f17(x5351,x5352,f54(x5353,a1)),x5354))
% 0.68/0.87 [556]~P22(f45(x5561,x5563,x5564))+P22(f45(x5561,f17(x5562,x5563,f54(x5564,a1)),x5564))
% 0.68/0.87 [557]~P22(f45(x5571,x5572,x5574))+P22(f45(x5571,f17(x5572,x5573,f54(x5574,a1)),x5574))
% 0.68/0.87 [570]P22(f45(x5701,x5702,x5703))+~P22(f45(x5701,f18(x5702,x5704,f54(x5703,a1)),x5703))
% 0.68/0.87 [575]~P22(f45(x5751,x5752,x5753))+~P22(f45(x5751,f18(x5754,x5752,f54(x5753,a1)),x5753))
% 0.68/0.87 [634]P6(x6342,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6341),x6344),x6343)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6341,f61(x6342,x6341,x6343,x6344)),f69(x6342,x6341,x6343,x6344)))
% 0.68/0.87 [635]P6(x6352,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6351),x6354),x6353)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6351,f70(x6352,x6351,x6353,x6354)),f74(x6352,x6351,x6353,x6354)))
% 0.68/0.87 [636]P6(x6362,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6361),x6364),x6363)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6361,f71(x6362,x6361,x6363,x6364)),f72(x6362,x6361,x6363,x6364)))
% 0.68/0.87 [667]P6(x6671,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6672),x6673),x6674)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P6(x6671,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),f6(f14(f4(f38(a50),a50,a50,a1),f69(x6671,x6672,x6674,x6673)),f54(a50,a1),a13)),x6673),f6(f14(x6674,f61(x6671,x6672,x6674,x6673)),f54(a50,a1),a13))),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)
% 0.68/0.87 [658]E(x6581,x6582)+~P22(f14(f26(x6583,f17(f14(f4(f38(x6584),x6584,x6584,a1),x6581),f40(f54(x6584,a1)),f54(x6584,a1)),x6584),x6582))
% 0.68/0.87 [586]~P9(x5862,x5865,f54(x5863,a1))+P9(f41(x5861,x5862,x5863,x5864),f41(x5861,x5865,x5863,x5864),f54(x5864,a1))
% 0.68/0.87 [574]P9(f14(x5741,x5742),f19(x5743,x5741,x5744,f54(x5745,a1)),f54(x5745,a1))+~P22(f45(x5742,x5743,x5744))
% 0.68/0.87 [583]~P22(f45(x5832,x5833,x5834))+E(f17(f14(x5831,x5832),f19(x5833,x5831,x5834,f54(x5835,a1)),f54(x5835,a1)),f19(x5833,x5831,x5834,f54(x5835,a1)))
% 0.68/0.87 [597]~P22(f45(x5972,x5973,x5974))+P22(f45(f14(x5971,x5972),f41(x5971,x5973,x5974,x5975),x5975))
% 0.68/0.87 [603]~P22(f45(x6035,x6034,x6033))+E(f41(f6(x6031,x6032,x6033),x6034,x6033,x6032),f17(f14(f4(f38(x6032),x6032,x6032,a1),x6031),f40(f54(x6032,a1)),f54(x6032,a1)))
% 0.68/0.87 [605]~P22(f45(x6053,x6054,x6055))+E(f17(f14(f4(f38(x6051),x6051,x6051,a1),f14(x6052,x6053)),f41(x6052,x6054,x6055,x6051),f54(x6051,a1)),f41(x6052,x6054,x6055,x6051))
% 0.68/0.87 [660]~P6(f17(f14(f4(f38(f47(x6602)),f47(x6602),f47(x6602),a1),f14(f14(f14(f30(x6602),x6603),f14(a7,x6604)),x6605)),x6601,f54(f47(x6602),a1)),f17(f14(f4(f38(f47(x6602)),f47(x6602),f47(x6602),a1),f14(f14(f14(f30(x6602),x6603),f14(f15(a49),f14(a9,x6604))),x6605)),f40(f54(f47(x6602),a1)),f54(f47(x6602),a1)),x6602)+P6(x6601,f17(f14(f4(f38(f47(x6602)),f47(x6602),f47(x6602),a1),f14(f14(f14(f30(x6602),x6603),f14(a7,x6604)),x6605)),f40(f54(f47(x6602),a1)),f54(f47(x6602),a1)),x6602)
% 0.68/0.87 [665]~P6(x6651,f17(f14(f4(f38(f47(x6652)),f47(x6652),f47(x6652),a1),f14(f14(f14(f30(x6652),f31(x6653,x6654,x6652)),x6655),x6653)),f40(f54(f47(x6652),a1)),f54(f47(x6652),a1)),x6652)+P6(x6651,f17(f14(f4(f38(f47(x6652)),f47(x6652),f47(x6652),a1),f14(f14(f14(f30(x6652),x6653),f21(x6654,x6655)),f31(x6653,f25(a37,x6654,a1,a1,a50),x6652))),f40(f54(f47(x6652),a1)),f54(f47(x6652),a1)),x6652)
% 0.68/0.87 [669]P6(x6691,f41(f8(f8(f5(f30(x6692),x6693,f54(x6692,f54(a50,a1)),f54(a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),a51),a7,a51,a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),x6694,a51,f54(x6692,f54(a50,a1)),f47(x6692)),x6695,a51,f47(x6692)),x6692)+~P6(f17(x6691,f41(f8(f8(f5(f30(x6692),x6693,f54(x6692,f54(a50,a1)),f54(a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),a51),a7,a51,a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),x6694,a51,f54(x6692,f54(a50,a1)),f47(x6692)),x6695,a51,f47(x6692)),f54(f47(x6692),a1)),f41(f8(f8(f5(f30(x6692),x6693,f54(x6692,f54(a50,a1)),f54(a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),a51),f5(f15(a49),a9,f52(a49),a49,a51),a51,a49,f54(f54(x6692,f54(a50,a1)),f47(x6692))),x6694,a51,f54(x6692,f54(a50,a1)),f47(x6692)),x6695,a51,f47(x6692)),x6692)
% 0.68/0.87 [587]~P8(f44(x5871),f14(f14(f14(f30(x5872),x5873),f14(a7,x5874)),x5875),x5872)+P8(x5871,f14(f14(f14(f30(x5872),x5873),f14(f15(a49),f14(a9,x5874))),x5875),x5872)
% 0.68/0.87 [593]P8(f44(x5931),f14(f14(f14(f30(x5932),x5933),f14(a7,x5934)),x5935),x5932)+~P8(x5931,f14(f14(f14(f30(x5932),x5933),f14(f15(a49),f14(a9,x5934))),x5935),x5932)
% 0.68/0.87 [617]P22(f14(x6171,f14(f14(f14(x6172,x6173),x6174),x6175)))+~P22(f14(x6171,f32(x6172,f14(f14(f14(f30(a46),x6173),x6174),x6175),a46,a13)))
% 0.68/0.87 [454]E(x4541,x4542)+~E(f10(x4543,x4544,x4541),f10(x4545,x4546,x4542))
% 0.68/0.87 [455]E(x4551,x4552)+~E(f11(x4553,x4554,x4551),f11(x4555,x4556,x4552))
% 0.68/0.87 [456]E(x4561,x4562)+~E(f12(x4563,x4564,x4561),f12(x4565,x4566,x4562))
% 0.68/0.87 [457]E(x4571,x4572)+~E(f10(x4573,x4571,x4574),f10(x4575,x4572,x4576))
% 0.68/0.87 [458]E(x4581,x4582)+~E(f11(x4583,x4581,x4584),f11(x4585,x4582,x4586))
% 0.68/0.87 [459]E(x4591,x4592)+~E(f12(x4593,x4591,x4594),f12(x4595,x4592,x4596))
% 0.68/0.87 [460]E(x4601,x4602)+~E(f10(x4601,x4603,x4604),f10(x4602,x4605,x4606))
% 0.68/0.87 [461]E(x4611,x4612)+~E(f11(x4611,x4613,x4614),f11(x4612,x4615,x4616))
% 0.68/0.87 [462]E(x4621,x4622)+~E(f12(x4621,x4623,x4624),f12(x4622,x4625,x4626))
% 0.68/0.87 [530]E(x5301,x5302)+~E(f14(f14(f14(f30(x5303),x5304),x5305),x5301),f14(f14(f14(f30(x5303),x5306),x5307),x5302))
% 0.68/0.87 [531]E(x5311,x5312)+~E(f14(f14(f14(f30(x5313),x5314),x5311),x5315),f14(f14(f14(f30(x5313),x5316),x5312),x5317))
% 0.68/0.87 [532]E(x5321,x5322)+~E(f14(f14(f14(f30(x5323),x5321),x5324),x5325),f14(f14(f14(f30(x5323),x5322),x5326),x5327))
% 0.68/0.87 [680]~P7(x6802,x6801,x6803,x6805,x6807,x6806,x6809,x6808,x6804)+P7(x6801,x6802,f4(x6803,x6804,x6804,a1),f4(x6805,x6804,x6804,a1),x6806,x6807,x6808,x6809,x6804)
% 0.68/0.87 [625]~E(f25(x6251,x6252,x6256,x6257,x6258),f25(x6254,x6255,x6259,x6257,x6258))+E(f14(x6251,f14(x6252,x6253)),f14(x6254,f14(x6255,x6253)))
% 0.68/0.87 [670]~P7(x6704,x6701,x6705,x6706,x6707,x6708,x6703,x6709,x6702)+E(f14(x6701,f40(f54(x6702,a1))),x6703)
% 0.68/0.87 [671]~P7(x6711,x6714,x6715,x6716,x6717,x6718,x6719,x6713,x6712)+E(f14(x6711,f40(f54(x6712,a1))),x6713)
% 0.68/0.87 [676]~P7(x6764,x6761,x6765,x6766,x6767,x6768,x6769,x67610,x6762)+E(f14(x6761,f17(f14(f4(f38(x6762),x6762,x6762,a1),x6763),f40(f54(x6762,a1)),f54(x6762,a1))),x6763)
% 0.68/0.87 [677]~P7(x6771,x6774,x6775,x6776,x6777,x6778,x6779,x67710,x6772)+E(f14(x6771,f17(f14(f4(f38(x6772),x6772,x6772,a1),x6773),f40(f54(x6772,a1)),f54(x6772,a1))),x6773)
% 0.68/0.87 [632]~E(f14(x6321,f14(x6322,x6326)),f14(x6327,f14(x6328,x63211)))+E(f14(f25(x6321,x6322,x6323,x6324,x6325),x6326),f14(f25(x6327,x6328,x6329,x6324,x63210),x63211))
% 0.68/0.87 [674]~P7(x6746,x6741,x6747,x6748,x6749,x6745,x67410,x67411,x6742)+E(f14(x6741,f17(f14(f4(f38(x6742),x6742,x6742,a1),x6743),x6744,f54(x6742,a1))),f14(f14(x6745,x6743),f14(x6741,x6744)))
% 0.68/0.87 [675]~P7(x6751,x6756,x6757,x6758,x6755,x6759,x67510,x67511,x6752)+E(f14(x6751,f17(f14(f4(f38(x6752),x6752,x6752,a1),x6753),x6754,f54(x6752,a1))),f14(f14(x6755,x6753),f14(x6751,x6754)))
% 0.68/0.87 [678]~P7(x6786,x6781,x6787,x6788,x6789,x6785,x67810,x67811,x6782)+E(f14(x6781,f17(f14(f4(f38(x6782),x6782,x6782,a1),x6783),f17(f14(f4(f38(x6782),x6782,x6782,a1),x6784),f40(f54(x6782,a1)),f54(x6782,a1)),f54(x6782,a1))),f14(f14(x6785,x6783),x6784))
% 0.68/0.87 [679]~P7(x6791,x6796,x6797,x6798,x6795,x6799,x67910,x67911,x6792)+E(f14(x6791,f17(f14(f4(f38(x6792),x6792,x6792,a1),x6793),f17(f14(f4(f38(x6792),x6792,x6792,a1),x6794),f40(f54(x6792,a1)),f54(x6792,a1)),f54(x6792,a1))),f14(f14(x6795,x6793),x6794))
% 0.68/0.87 [403]~P3(x4032)+~P3(x4031)+P3(f22(x4031,x4032))
% 0.68/0.87 [422]~P23(x4222)+~P14(x4222)+E(f18(x4221,x4221,x4222),f29(x4222))
% 0.68/0.87 [436]P9(x4362,x4361,x4363)+~P20(x4363)+P9(x4361,x4362,x4363)
% 0.68/0.87 [428]~P17(x4283)+E(x4281,x4282)+~E(f18(x4281,x4282,x4283),f29(x4283))
% 0.68/0.87 [429]~P18(x4293)+E(x4291,x4292)+~E(f18(x4291,x4292,x4293),f29(x4293))
% 0.68/0.87 [430]~P13(x4302)+~E(f17(x4303,x4301,x4302),f40(x4302))+E(x4301,f40(x4302))
% 0.68/0.87 [431]~P13(x4312)+~E(f17(x4311,x4313,x4312),f40(x4312))+E(x4311,f40(x4312))
% 0.68/0.87 [438]~P3(x4383)+~P3(x4382)+P3(f11(x4381,x4382,x4383))
% 0.68/0.87 [441]~P1(x4413)+~P9(x4411,x4412,x4413)+E(f17(x4411,x4412,x4413),x4412)
% 0.68/0.87 [442]~P1(x4423)+~P9(x4422,x4421,x4423)+E(f17(x4421,x4422,x4423),x4421)
% 0.68/0.87 [443]~P1(x4433)+P9(x4431,x4432,x4433)+~E(f17(x4431,x4432,x4433),x4432)
% 0.68/0.87 [493]E(x4931,x4932)+~P9(x4931,x4932,f54(x4933,a1))+~P9(x4932,x4931,f54(x4933,a1))
% 0.68/0.87 [498]~P19(x4983)+~P9(x4981,x4982,x4983)+P9(f18(x4981,x4982,x4983),f29(x4983),x4983)
% 0.68/0.87 [499]~P4(x4993)+P9(x4991,f23(x4992,x4993),x4993)+~P22(f45(x4991,x4992,x4993))
% 0.68/0.87 [500]~P4(x5002)+P9(f24(x5001,x5002),x5003,x5002)+~P22(f45(x5003,x5001,x5002))
% 0.68/0.87 [516]~P19(x5163)+P9(x5161,x5162,x5163)+~P9(f18(x5161,x5162,x5163),f29(x5163),x5163)
% 0.68/0.87 [439]P9(x4391,x4392,x4393)+~P15(x4393)+E(f43(x4391,x4392,x4393),f40(f54(x4393,a1)))
% 0.68/0.87 [440]P9(x4402,x4403,x4401)+~P15(x4401)+E(f40(f54(x4401,a1)),f43(x4402,x4403,x4401))
% 0.68/0.87 [483]~P15(x4833)+~P9(x4831,x4832,x4833)+~E(f43(x4831,x4832,x4833),f40(f54(x4833,a1)))
% 0.68/0.87 [484]~P15(x4841)+~P9(x4842,x4843,x4841)+~E(f40(f54(x4841,a1)),f43(x4842,x4843,x4841))
% 0.68/0.87 [631]~P9(x6311,f17(f14(f4(f38(x6312),x6312,x6312,a1),x6313),f40(f54(x6312,a1)),f54(x6312,a1)),f54(x6312,a1))+E(x6311,f17(f14(f4(f38(x6312),x6312,x6312,a1),x6313),f40(f54(x6312,a1)),f54(x6312,a1)))+E(x6311,f40(f54(x6312,a1)))
% 0.68/0.87 [463]~P5(x4633,x4634,x4631)+E(x4631,x4632)+~P5(x4633,x4634,x4632)
% 0.68/0.87 [487]~P6(x4871,x4874,x4873)+P6(x4871,x4872,x4873)+~P6(x4874,x4872,x4873)
% 0.68/0.87 [448]E(x4481,x4482)+~P5(f21(x4483,x4484),x4481,x4482)+P22(f14(x4483,x4481))
% 0.68/0.87 [467]~P18(x4674)+E(x4671,x4672)+~E(f18(x4673,x4673,x4674),f18(x4671,x4672,x4674))
% 0.68/0.87 [468]~P18(x4683)+E(x4681,x4682)+~E(f18(x4681,x4682,x4683),f18(x4684,x4684,x4683))
% 0.68/0.87 [476]~P9(x4763,x4761,f54(x4764,a1))+P22(f14(x4761,x4762))+~P22(f14(x4763,x4762))
% 0.68/0.87 [496]~P1(x4964)+~P9(x4961,x4963,x4964)+P9(x4961,f17(x4962,x4963,x4964),x4964)
% 0.68/0.87 [497]~P1(x4974)+~P9(x4971,x4972,x4974)+P9(x4971,f17(x4972,x4973,x4974),x4974)
% 0.68/0.87 [510]~P1(x5103)+P9(x5101,x5102,x5103)+~P9(f17(x5104,x5101,x5103),x5102,x5103)
% 0.68/0.87 [512]~P1(x5123)+P9(x5121,x5122,x5123)+~P9(f17(x5121,x5124,x5123),x5122,x5123)
% 0.68/0.87 [515]~P9(x5151,x5154,f54(x5153,a1))+~P9(x5154,x5152,f54(x5153,a1))+P9(x5151,x5152,f54(x5153,a1))
% 0.68/0.87 [542]~P9(x5424,x5422,f54(x5423,a1))+P22(f45(x5421,x5422,x5423))+~P22(f45(x5421,x5424,x5423))
% 0.68/0.87 [504]P6(x5041,x5042,x5043)+~P6(x5044,x5042,x5043)+~P9(x5044,x5041,f54(f47(x5043),a1))
% 0.68/0.87 [505]P6(x5051,x5052,x5053)+~P6(x5051,x5054,x5053)+~P9(x5052,x5054,f54(f47(x5053),a1))
% 0.68/0.87 [538]~P4(x5384)+E(f19(x5381,f6(x5383,x5384,x5382),x5382,x5384),x5383)+E(x5381,f40(f54(x5382,a1)))
% 0.68/0.87 [553]~P9(x5531,x5534,f54(x5533,a1))+~P9(x5532,x5534,f54(x5533,a1))+P9(f17(x5531,x5532,f54(x5533,a1)),x5534,f54(x5533,a1))
% 0.68/0.87 [554]~P9(x5541,x5542,f54(x5544,a1))+~P9(x5543,x5541,f54(x5544,a1))+E(f18(x5541,f18(x5542,x5543,f54(x5544,a1)),f54(x5544,a1)),x5543)
% 0.68/0.87 [615]~P9(x6153,x6154,f54(x6151,a1))+P9(f17(f14(f4(f38(x6151),x6151,x6151,a1),x6152),x6153,f54(x6151,a1)),x6154,f54(x6151,a1))+~P22(f45(x6152,x6154,x6151))
% 0.68/0.87 [624]P9(x6242,x6244,f54(x6243,a1))+~P9(x6242,f17(f14(f4(f38(x6243),x6243,x6243,a1),x6241),x6244,f54(x6243,a1)),f54(x6243,a1))+P22(f45(x6241,x6242,x6243))
% 0.68/0.87 [642]~P9(x6421,f17(f14(f4(f38(x6422),x6422,x6422,a1),x6423),x6424,f54(x6422,a1)),f54(x6422,a1))+P9(f18(x6421,f17(f14(f4(f38(x6422),x6422,x6422,a1),x6423),f40(f54(x6422,a1)),f54(x6422,a1)),f54(x6422,a1)),x6424,f54(x6422,a1))+~P22(f45(x6423,x6421,x6422))
% 0.68/0.87 [650]~P9(f18(x6501,f17(f14(f4(f38(x6502),x6502,x6502,a1),x6503),f40(f54(x6502,a1)),f54(x6502,a1)),f54(x6502,a1)),x6504,f54(x6502,a1))+P9(x6501,f17(f14(f4(f38(x6502),x6502,x6502,a1),x6503),x6504,f54(x6502,a1)),f54(x6502,a1))+~P22(f45(x6503,x6501,x6502))
% 0.68/0.87 [555]P22(f14(x5551,x5552))+P22(f14(x5553,x5552))+~P22(f14(f17(x5551,x5553,f54(x5554,a1)),x5552))
% 0.68/0.87 [568]~P22(f45(x5681,x5684,x5683))+P22(f45(x5681,x5682,x5683))+P22(f45(x5681,f18(x5684,x5682,f54(x5683,a1)),x5683))
% 0.68/0.87 [578]P22(f45(x5781,x5782,x5783))+P22(f45(x5781,x5784,x5783))+~P22(f45(x5781,f17(x5782,x5784,f54(x5783,a1)),x5783))
% 0.68/0.87 [637]~P6(x6371,x6374,x6372)+~P6(x6371,f17(f14(f4(f38(f47(x6372)),f47(x6372),f47(x6372),a1),x6373),f40(f54(f47(x6372),a1)),f54(f47(x6372),a1)),x6372)+P6(x6371,f17(f14(f4(f38(f47(x6372)),f47(x6372),f47(x6372),a1),x6373),x6374,f54(f47(x6372),a1)),x6372)
% 0.68/0.87 [639]E(x6391,x6392)+P22(f14(x6393,x6391))+~P22(f14(f17(f14(f4(f38(x6394),x6394,x6394,a1),x6392),x6393,f54(x6394,a1)),x6391))
% 0.68/0.87 [640]E(x6401,x6402)+P22(f45(x6401,x6403,x6404))+~P22(f45(x6401,f17(f14(f4(f38(x6404),x6404,x6404,a1),x6402),x6403,f54(x6404,a1)),x6404))
% 0.68/0.87 [491]~P12(x4914)+P9(f14(x4911,x4912),f14(x4913,x4912),x4914)+~P9(x4911,x4913,f54(x4915,x4914))
% 0.68/0.87 [494]~P5(x4941,x4943,x4945)+~P5(x4942,x4945,x4944)+P5(f22(x4941,x4942),x4943,x4944)
% 0.68/0.87 [503]~P5(x5034,x5032,x5035)+P5(f11(x5031,x5033,x5034),x5032,x5035)+P22(f14(x5031,x5032))
% 0.68/0.87 [507]~P5(x5072,x5074,x5075)+P5(f11(x5071,x5072,x5073),x5074,x5075)+~P22(f14(x5071,x5074))
% 0.68/0.87 [521]P5(x5211,x5212,x5213)+~P5(f11(x5214,x5215,x5211),x5212,x5213)+P22(f14(x5214,x5212))
% 0.68/0.87 [527]~P15(x5273)+P9(x5271,x5272,x5273)+P9(f43(x5271,x5272,x5273),f43(x5274,x5275,x5273),f54(x5273,a1))
% 0.68/0.87 [528]P5(x5281,x5282,x5283)+~P5(f11(x5284,x5281,x5285),x5282,x5283)+~P22(f14(x5284,x5282))
% 0.68/0.87 [529]P5(x5291,x5292,x5293)+P5(x5294,x5292,x5293)+~P5(f11(x5295,x5291,x5294),x5292,x5293)
% 0.68/0.87 [550]E(x5501,x5502)+~P10(f21(x5503,x5504),x5501,x5505,x5502)+P22(f14(x5503,x5501))
% 0.68/0.87 [569]~P4(x5695)+P9(f14(x5691,x5692),f19(x5693,x5691,x5694,x5695),x5695)+~P22(f45(x5692,x5693,x5694))
% 0.68/0.87 [562]~P9(x5621,x5624,f54(x5623,a1))+~P9(x5622,x5625,f54(x5623,a1))+P9(f17(x5621,x5622,f54(x5623,a1)),f17(x5624,x5625,f54(x5623,a1)),f54(x5623,a1))
% 0.68/0.87 [563]~P9(x5631,x5634,f54(x5633,a1))+~P9(x5635,x5632,f54(x5633,a1))+P9(f18(x5631,x5632,f54(x5633,a1)),f18(x5634,x5635,f54(x5633,a1)),f54(x5633,a1))
% 0.68/0.87 [566]~P22(f45(x5662,x5664,x5665))+E(f14(x5661,x5662),f40(f54(x5663,a1)))+~E(f19(x5664,x5661,x5665,f54(x5663,a1)),f40(f54(x5663,a1)))
% 0.68/0.87 [651]E(x6511,x6512)+E(x6511,x6513)+~E(f17(f14(f4(f38(x6514),x6514,x6514,a1),x6515),f17(f14(f4(f38(x6514),x6514,x6514,a1),x6511),f40(f54(x6514,a1)),f54(x6514,a1)),f54(x6514,a1)),f17(f14(f4(f38(x6514),x6514,x6514,a1),x6513),f17(f14(f4(f38(x6514),x6514,x6514,a1),x6512),f40(f54(x6514,a1)),f54(x6514,a1)),f54(x6514,a1)))
% 0.68/0.87 [652]E(x6521,x6522)+E(x6523,x6522)+~E(f17(f14(f4(f38(x6524),x6524,x6524,a1),x6523),f17(f14(f4(f38(x6524),x6524,x6524,a1),x6521),f40(f54(x6524,a1)),f54(x6524,a1)),f54(x6524,a1)),f17(f14(f4(f38(x6524),x6524,x6524,a1),x6525),f17(f14(f4(f38(x6524),x6524,x6524,a1),x6522),f40(f54(x6524,a1)),f54(x6524,a1)),f54(x6524,a1)))
% 0.68/0.87 [653]E(x6531,x6532)+E(x6533,x6532)+~E(f17(f14(f4(f38(x6534),x6534,x6534,a1),x6533),f17(f14(f4(f38(x6534),x6534,x6534,a1),x6531),f40(f54(x6534,a1)),f54(x6534,a1)),f54(x6534,a1)),f17(f14(f4(f38(x6534),x6534,x6534,a1),x6532),f17(f14(f4(f38(x6534),x6534,x6534,a1),x6535),f40(f54(x6534,a1)),f54(x6534,a1)),f54(x6534,a1)))
% 0.68/0.87 [654]E(x6541,x6542)+E(x6541,x6543)+~E(f17(f14(f4(f38(x6544),x6544,x6544,a1),x6541),f17(f14(f4(f38(x6544),x6544,x6544,a1),x6545),f40(f54(x6544,a1)),f54(x6544,a1)),f54(x6544,a1)),f17(f14(f4(f38(x6544),x6544,x6544,a1),x6543),f17(f14(f4(f38(x6544),x6544,x6544,a1),x6542),f40(f54(x6544,a1)),f54(x6544,a1)),f54(x6544,a1)))
% 0.68/0.87 [643]~P6(x6433,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6434),x6435),x6431)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6433,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6434),x6435),x6432)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6431,f62(x6432,x6431)),f68(x6432,x6431)))
% 0.68/0.87 [644]~P6(x6443,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6442),x6444),x6445)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6443,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6441),x6444),x6445)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6441,f63(x6441,x6442)),f67(x6441,x6442)))
% 0.68/0.87 [645]~P6(x6451,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6455),x6453),x6454)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6451,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6452),x6453),x6454)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6455,f63(x6452,x6455)),f67(x6452,x6455)))
% 0.68/0.87 [646]~P6(x6461,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6462),x6463),x6465)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6461,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6462),x6463),x6464)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6464,f62(x6464,x6465)),f68(x6464,x6465)))
% 0.68/0.87 [571]~P10(x5714,x5712,x5715,x5716)+P10(f11(x5711,x5713,x5714),x5712,x5715,x5716)+P22(f14(x5711,x5712))
% 0.68/0.87 [573]~P10(x5732,x5734,x5735,x5736)+P10(f11(x5731,x5732,x5733),x5734,x5735,x5736)+~P22(f14(x5731,x5734))
% 0.68/0.87 [576]P10(x5763,x5762,x5764,x5765)+~P10(f11(x5761,x5766,x5763),x5762,x5764,x5765)+P22(f14(x5761,x5762))
% 0.68/0.87 [577]P10(x5771,x5772,x5773,x5774)+~P10(f11(x5775,x5771,x5776),x5772,x5773,x5774)+~P22(f14(x5775,x5772))
% 0.68/0.87 [581]~P10(x5811,x5813,x5814,x5816)+~P10(x5812,x5816,x5814,x5815)+P10(f22(x5811,x5812),x5813,x5814,x5815)
% 0.68/0.87 [582]P10(x5821,x5822,x5823,x5824)+P10(x5825,x5822,x5823,x5824)+~P10(f11(x5826,x5821,x5825),x5822,x5823,x5824)
% 0.68/0.87 [589]~P9(f41(x5891,x5895,x5896,x5894),x5893,f54(x5894,a1))+~P22(f45(x5892,x5895,x5896))+P22(f45(f14(x5891,x5892),x5893,x5894))
% 0.68/0.87 [591]P9(f14(x5911,x5912),x5913,f54(x5914,a1))+~P9(f19(x5915,x5911,x5916,f54(x5914,a1)),x5913,f54(x5914,a1))+~P22(f45(x5912,x5915,x5916))
% 0.68/0.87 [599]~P22(f45(x5996,x5991,x5993))+~P22(f14(f14(x5992,x5996),x5995))+P22(f14(f19(x5991,x5992,x5993,f54(x5994,a1)),x5995))
% 0.68/0.87 [602]~P22(f45(x6026,x6022,x6024))+~P22(f45(x6021,f14(x6023,x6026),x6025))+P22(f45(x6021,f19(x6022,x6023,x6024,f54(x6025,a1)),x6025))
% 0.68/0.87 [656]~P6(x6565,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6562),x6566),x6564)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6565,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6561),x6566),x6563)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P22(f14(f14(x6561,f66(x6561,x6562,x6563,x6564)),f65(x6561,x6562,x6563,x6564)))
% 0.68/0.87 [657]~P6(x6571,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6575),x6573),x6576)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6571,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6572),x6573),x6574)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6574,f66(x6572,x6575,x6574,x6576)),f64(x6572,x6575,x6574,x6576)))
% 0.68/0.87 [663]~P6(x6631,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6635),x6633),x6636)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6631,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6632),x6633),x6634)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6634,f70(x6631,x6632,x6634,x6633)),f75(x6631,x6632,x6634,x6633,x6635,x6636)))
% 0.68/0.87 [664]~P6(x6641,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6645),x6643),x6646)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6641,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6642),x6643),x6644)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6644,f71(x6641,x6642,x6644,x6643)),f73(x6641,x6642,x6644,x6643,x6645,x6646)))
% 0.68/0.87 [666]P6(x6661,f17(f14(f4(f38(f47(x6662)),f47(x6662),f47(x6662),a1),f14(f14(f14(f30(x6662),f14(x6663,x6664)),f14(a7,x6664)),f14(x6665,x6664))),f40(f54(f47(x6662),a1)),f54(f47(x6662),a1)),x6662)+~P6(f17(x6661,f41(f8(f8(f5(f30(x6662),x6663,f54(x6662,f54(a50,a1)),f54(a49,f54(f54(x6662,f54(a50,a1)),f47(x6662))),a51),a7,a51,a49,f54(f54(x6662,f54(a50,a1)),f47(x6662))),x6665,a51,f54(x6662,f54(a50,a1)),f47(x6662)),x6666,a51,f47(x6662)),f54(f47(x6662),a1)),f41(f8(f8(f5(f30(x6662),x6663,f54(x6662,f54(a50,a1)),f54(a49,f54(f54(x6662,f54(a50,a1)),f47(x6662))),a51),f5(f15(a49),a9,f52(a49),a49,a51),a51,a49,f54(f54(x6662,f54(a50,a1)),f47(x6662))),x6665,a51,f54(x6662,f54(a50,a1)),f47(x6662)),x6666,a51,f47(x6662)),x6662)+~P22(f45(x6664,x6666,a51))
% 0.68/0.87 [659]~P6(x6591,f17(f14(f4(f38(f47(x6592)),f47(x6592),f47(x6592),a1),f14(f14(f14(f30(x6592),x6593),x6594),x6597)),f40(f54(f47(x6592),a1)),f54(f47(x6592),a1)),x6592)+~P6(x6591,f17(f14(f4(f38(f47(x6592)),f47(x6592),f47(x6592),a1),f14(f14(f14(f30(x6592),x6597),x6595),x6596)),f40(f54(f47(x6592),a1)),f54(f47(x6592),a1)),x6592)+P6(x6591,f17(f14(f4(f38(f47(x6592)),f47(x6592),f47(x6592),a1),f14(f14(f14(f30(x6592),x6593),f22(x6594,x6595)),x6596)),f40(f54(f47(x6592),a1)),f54(f47(x6592),a1)),x6592)
% 0.68/0.87 [668]~P6(x6681,f17(f14(f4(f38(f47(x6682)),f47(x6682),f47(x6682),a1),f14(f14(f14(f30(x6682),f31(x6683,f25(a37,x6684,a1,a1,a50),x6682)),x6686),x6687)),f40(f54(f47(x6682),a1)),f54(f47(x6682),a1)),x6682)+~P6(x6681,f17(f14(f4(f38(f47(x6682)),f47(x6682),f47(x6682),a1),f14(f14(f14(f30(x6682),f31(x6683,x6684,x6682)),x6685),x6687)),f40(f54(f47(x6682),a1)),f54(f47(x6682),a1)),x6682)+P6(x6681,f17(f14(f4(f38(f47(x6682)),f47(x6682),f47(x6682),a1),f14(f14(f14(f30(x6682),x6683),f11(x6684,x6685,x6686)),x6687)),f40(f54(f47(x6682),a1)),f54(f47(x6682),a1)),x6682)
% 0.68/0.87 [672]~P7(x6726,x6723,x6721,x6727,x6728,x6729,x67210,x67211,x6725)+~P22(f45(x6722,x6724,x6725))+P22(f14(f14(x6721,x6722),f14(x6723,x6724)))
% 0.68/0.87 [673]~P7(x6732,x6736,x6731,x6737,x6738,x6739,x67310,x67311,x6735)+~P22(f45(x6734,x6733,x6735))+P22(f14(f14(x6731,f14(x6732,x6733)),x6734))
% 0.68/0.87 [471]~P9(x4712,x4711,x4713)+~P9(x4711,x4712,x4713)+E(x4711,x4712)+~P15(x4713)
% 0.68/0.87 [432]~P23(x4323)+~P14(x4323)+E(x4321,x4322)+~E(f18(x4321,x4322,x4323),f29(x4323))
% 0.68/0.87 [489]~P15(x4893)+~P9(x4891,x4894,x4893)+P9(x4891,x4892,x4893)+~P9(x4894,x4892,x4893)
% 0.68/0.87 [490]~P21(x4903)+~P9(x4901,x4904,x4903)+P9(x4901,x4902,x4903)+~P9(x4904,x4902,x4903)
% 0.68/0.87 [524]~P1(x5243)+~P9(x5242,x5244,x5243)+~P9(x5241,x5244,x5243)+P9(f17(x5241,x5242,x5243),x5244,x5243)
% 0.68/0.87 [621]E(x6211,x6212)+P22(f45(x6213,x6211,x6214))+P22(f45(x6213,x6212,x6214))+~E(f17(f14(f4(f38(x6214),x6214,x6214,a1),x6213),x6211,f54(x6214,a1)),f17(f14(f4(f38(x6214),x6214,x6214,a1),x6213),x6212,f54(x6214,a1)))
% 0.68/0.87 [513]~P19(x5133)+~P9(x5135,x5134,x5133)+P9(x5131,x5132,x5133)+~E(f18(x5134,x5135,x5133),f18(x5132,x5131,x5133))
% 0.68/0.87 [514]~P19(x5143)+~P9(x5145,x5144,x5143)+P9(x5141,x5142,x5143)+~E(f18(x5142,x5141,x5143),f18(x5144,x5145,x5143))
% 0.68/0.87 [525]~P5(x5252,x5253,x5255)+~P5(f21(x5251,x5252),x5255,x5254)+P5(f21(x5251,x5252),x5253,x5254)+~P22(f14(x5251,x5253))
% 0.68/0.87 [551]~P15(x5513)+~P9(x5514,x5511,x5513)+~P9(x5512,x5515,x5513)+P9(f43(x5511,x5512,x5513),f43(x5514,x5515,x5513),f54(x5513,a1))
% 0.68/0.87 [560]~P15(x5603)+P9(x5601,x5602,x5603)+~P9(x5604,x5601,x5603)+~P9(f43(x5604,x5601,x5603),f43(x5605,x5602,x5603),f54(x5603,a1))
% 0.68/0.87 [561]~P15(x5613)+P9(x5611,x5612,x5613)+~P9(x5612,x5614,x5613)+~P9(f43(x5612,x5614,x5613),f43(x5611,x5615,x5613),f54(x5613,a1))
% 0.68/0.87 [584]~P10(x5842,x5843,x5844,x5846)+~P10(f21(x5841,x5842),x5846,x5844,x5845)+P10(f21(x5841,x5842),x5843,x5844,x5845)+~P22(f14(x5841,x5843))
% 0.68/0.87 [655]~P6(x6556,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6554),x6557),x6551)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+P6(x6556,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6553),x6557),x6555)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6554,x6552),f65(x6553,x6554,x6555,x6551)))+P22(f14(f14(x6551,x6552),f64(x6553,x6554,x6555,x6551)))
% 0.68/0.87 [661]P6(x6613,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6614),x6616),x6615)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P6(x6613,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6617),x6616),x6611)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6617,x6612),f72(x6613,x6614,x6615,x6616)))+P22(f14(f14(x6611,x6612),f73(x6613,x6614,x6615,x6616,x6617,x6611)))
% 0.68/0.87 [662]P6(x6623,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6624),x6626),x6625)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P6(x6623,f17(f14(f4(f38(f47(a13)),f47(a13),f47(a13),a1),f14(f14(f14(f30(a13),x6627),x6626),x6621)),f40(f54(f47(a13),a1)),f54(f47(a13),a1)),a13)+~P22(f14(f14(x6627,x6622),f74(x6623,x6624,x6625,x6626)))+P22(f14(f14(x6621,x6622),f75(x6623,x6624,x6625,x6626,x6627,x6621)))
% 0.68/0.87 [580]~P10(x5804,x5805,x5806,x5803)+~P8(x5806,f14(f14(f14(f30(a13),x5807),x5804),x5801),a13)+P22(f14(f14(x5801,x5802),x5803))+~P22(f14(f14(x5807,x5802),x5805))
% 0.68/0.87 %EqnAxiom
% 0.68/0.87 [1]E(x11,x11)
% 0.68/0.87 [2]E(x22,x21)+~E(x21,x22)
% 0.68/0.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.68/0.87 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.68/0.87 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 0.68/0.87 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 0.68/0.87 [7]~E(x71,x72)+E(f4(x71,x73,x74,x75),f4(x72,x73,x74,x75))
% 0.68/0.87 [8]~E(x81,x82)+E(f4(x83,x81,x84,x85),f4(x83,x82,x84,x85))
% 0.68/0.87 [9]~E(x91,x92)+E(f4(x93,x94,x91,x95),f4(x93,x94,x92,x95))
% 0.68/0.87 [10]~E(x101,x102)+E(f4(x103,x104,x105,x101),f4(x103,x104,x105,x102))
% 0.68/0.87 [11]~E(x111,x112)+E(f17(x111,x113,x114),f17(x112,x113,x114))
% 0.68/0.87 [12]~E(x121,x122)+E(f17(x123,x121,x124),f17(x123,x122,x124))
% 0.68/0.87 [13]~E(x131,x132)+E(f17(x133,x134,x131),f17(x133,x134,x132))
% 0.68/0.87 [14]~E(x141,x142)+E(f15(x141),f15(x142))
% 0.68/0.87 [15]~E(x151,x152)+E(f16(x151,x153),f16(x152,x153))
% 0.68/0.87 [16]~E(x161,x162)+E(f16(x163,x161),f16(x163,x162))
% 0.68/0.87 [17]~E(x171,x172)+E(f54(x171,x173),f54(x172,x173))
% 0.68/0.87 [18]~E(x181,x182)+E(f54(x183,x181),f54(x183,x182))
% 0.68/0.87 [19]~E(x191,x192)+E(f38(x191),f38(x192))
% 0.68/0.87 [20]~E(x201,x202)+E(f47(x201),f47(x202))
% 0.68/0.87 [21]~E(x211,x212)+E(f39(x211,x213),f39(x212,x213))
% 0.68/0.87 [22]~E(x221,x222)+E(f39(x223,x221),f39(x223,x222))
% 0.68/0.87 [23]~E(x231,x232)+E(f22(x231,x233),f22(x232,x233))
% 0.68/0.87 [24]~E(x241,x242)+E(f22(x243,x241),f22(x243,x242))
% 0.68/0.87 [25]~E(x251,x252)+E(f45(x251,x253,x254),f45(x252,x253,x254))
% 0.68/0.87 [26]~E(x261,x262)+E(f45(x263,x261,x264),f45(x263,x262,x264))
% 0.68/0.87 [27]~E(x271,x272)+E(f45(x273,x274,x271),f45(x273,x274,x272))
% 0.68/0.87 [28]~E(x281,x282)+E(f40(x281),f40(x282))
% 0.68/0.87 [29]~E(x291,x292)+E(f30(x291),f30(x292))
% 0.68/0.87 [30]~E(x301,x302)+E(f12(x301,x303,x304),f12(x302,x303,x304))
% 0.68/0.87 [31]~E(x311,x312)+E(f12(x313,x311,x314),f12(x313,x312,x314))
% 0.68/0.87 [32]~E(x321,x322)+E(f12(x323,x324,x321),f12(x323,x324,x322))
% 0.68/0.87 [33]~E(x331,x332)+E(f18(x331,x333,x334),f18(x332,x333,x334))
% 0.68/0.87 [34]~E(x341,x342)+E(f18(x343,x341,x344),f18(x343,x342,x344))
% 0.68/0.87 [35]~E(x351,x352)+E(f18(x353,x354,x351),f18(x353,x354,x352))
% 0.68/0.87 [36]~E(x361,x362)+E(f35(x361,x363,x364,x365),f35(x362,x363,x364,x365))
% 0.68/0.87 [37]~E(x371,x372)+E(f35(x373,x371,x374,x375),f35(x373,x372,x374,x375))
% 0.68/0.87 [38]~E(x381,x382)+E(f35(x383,x384,x381,x385),f35(x383,x384,x382,x385))
% 0.68/0.87 [39]~E(x391,x392)+E(f35(x393,x394,x395,x391),f35(x393,x394,x395,x392))
% 0.68/0.87 [40]~E(x401,x402)+E(f25(x401,x403,x404,x405,x406),f25(x402,x403,x404,x405,x406))
% 0.68/0.87 [41]~E(x411,x412)+E(f25(x413,x411,x414,x415,x416),f25(x413,x412,x414,x415,x416))
% 0.68/0.87 [42]~E(x421,x422)+E(f25(x423,x424,x421,x425,x426),f25(x423,x424,x422,x425,x426))
% 0.68/0.87 [43]~E(x431,x432)+E(f25(x433,x434,x435,x431,x436),f25(x433,x434,x435,x432,x436))
% 0.68/0.87 [44]~E(x441,x442)+E(f25(x443,x444,x445,x446,x441),f25(x443,x444,x445,x446,x442))
% 0.68/0.87 [45]~E(x451,x452)+E(f21(x451,x453),f21(x452,x453))
% 0.68/0.87 [46]~E(x461,x462)+E(f21(x463,x461),f21(x463,x462))
% 0.68/0.87 [47]~E(x471,x472)+E(f20(x471,x473,x474,x475,x476,x477,x478,x479,x4710,x4711),f20(x472,x473,x474,x475,x476,x477,x478,x479,x4710,x4711))
% 0.68/0.87 [48]~E(x481,x482)+E(f20(x483,x481,x484,x485,x486,x487,x488,x489,x4810,x4811),f20(x483,x482,x484,x485,x486,x487,x488,x489,x4810,x4811))
% 0.68/0.87 [49]~E(x491,x492)+E(f20(x493,x494,x491,x495,x496,x497,x498,x499,x4910,x4911),f20(x493,x494,x492,x495,x496,x497,x498,x499,x4910,x4911))
% 0.68/0.87 [50]~E(x501,x502)+E(f20(x503,x504,x505,x501,x506,x507,x508,x509,x5010,x5011),f20(x503,x504,x505,x502,x506,x507,x508,x509,x5010,x5011))
% 0.68/0.87 [51]~E(x511,x512)+E(f20(x513,x514,x515,x516,x511,x517,x518,x519,x5110,x5111),f20(x513,x514,x515,x516,x512,x517,x518,x519,x5110,x5111))
% 0.68/0.87 [52]~E(x521,x522)+E(f20(x523,x524,x525,x526,x527,x521,x528,x529,x5210,x5211),f20(x523,x524,x525,x526,x527,x522,x528,x529,x5210,x5211))
% 0.68/0.87 [53]~E(x531,x532)+E(f20(x533,x534,x535,x536,x537,x538,x531,x539,x5310,x5311),f20(x533,x534,x535,x536,x537,x538,x532,x539,x5310,x5311))
% 0.68/0.87 [54]~E(x541,x542)+E(f20(x543,x544,x545,x546,x547,x548,x549,x541,x5410,x5411),f20(x543,x544,x545,x546,x547,x548,x549,x542,x5410,x5411))
% 0.68/0.87 [55]~E(x551,x552)+E(f20(x553,x554,x555,x556,x557,x558,x559,x5510,x551,x5511),f20(x553,x554,x555,x556,x557,x558,x559,x5510,x552,x5511))
% 0.68/0.87 [56]~E(x561,x562)+E(f20(x563,x564,x565,x566,x567,x568,x569,x5610,x5611,x561),f20(x563,x564,x565,x566,x567,x568,x569,x5610,x5611,x562))
% 0.68/0.87 [57]~E(x571,x572)+E(f10(x571,x573,x574),f10(x572,x573,x574))
% 0.68/0.87 [58]~E(x581,x582)+E(f10(x583,x581,x584),f10(x583,x582,x584))
% 0.68/0.87 [59]~E(x591,x592)+E(f10(x593,x594,x591),f10(x593,x594,x592))
% 0.68/0.87 [60]~E(x601,x602)+E(f6(x601,x603,x604),f6(x602,x603,x604))
% 0.68/0.87 [61]~E(x611,x612)+E(f6(x613,x611,x614),f6(x613,x612,x614))
% 0.68/0.87 [62]~E(x621,x622)+E(f6(x623,x624,x621),f6(x623,x624,x622))
% 0.68/0.87 [63]~E(x631,x632)+E(f44(x631),f44(x632))
% 0.68/0.87 [64]~E(x641,x642)+E(f63(x641,x643),f63(x642,x643))
% 0.68/0.87 [65]~E(x651,x652)+E(f63(x653,x651),f63(x653,x652))
% 0.68/0.87 [66]~E(x661,x662)+E(f31(x661,x663,x664),f31(x662,x663,x664))
% 0.68/0.87 [67]~E(x671,x672)+E(f31(x673,x671,x674),f31(x673,x672,x674))
% 0.68/0.87 [68]~E(x681,x682)+E(f31(x683,x684,x681),f31(x683,x684,x682))
% 0.68/0.87 [69]~E(x691,x692)+E(f41(x691,x693,x694,x695),f41(x692,x693,x694,x695))
% 0.68/0.87 [70]~E(x701,x702)+E(f41(x703,x701,x704,x705),f41(x703,x702,x704,x705))
% 0.68/0.87 [71]~E(x711,x712)+E(f41(x713,x714,x711,x715),f41(x713,x714,x712,x715))
% 0.68/0.87 [72]~E(x721,x722)+E(f41(x723,x724,x725,x721),f41(x723,x724,x725,x722))
% 0.68/0.87 [73]~E(x731,x732)+E(f26(x731,x733,x734),f26(x732,x733,x734))
% 0.68/0.87 [74]~E(x741,x742)+E(f26(x743,x741,x744),f26(x743,x742,x744))
% 0.68/0.87 [75]~E(x751,x752)+E(f26(x753,x754,x751),f26(x753,x754,x752))
% 0.68/0.87 [76]~E(x761,x762)+E(f29(x761),f29(x762))
% 0.68/0.87 [77]~E(x771,x772)+E(f43(x771,x773,x774),f43(x772,x773,x774))
% 0.68/0.87 [78]~E(x781,x782)+E(f43(x783,x781,x784),f43(x783,x782,x784))
% 0.68/0.87 [79]~E(x791,x792)+E(f43(x793,x794,x791),f43(x793,x794,x792))
% 0.68/0.87 [80]~E(x801,x802)+E(f34(x801,x803),f34(x802,x803))
% 0.68/0.87 [81]~E(x811,x812)+E(f34(x813,x811),f34(x813,x812))
% 0.68/0.87 [82]~E(x821,x822)+E(f42(x821,x823),f42(x822,x823))
% 0.68/0.87 [83]~E(x831,x832)+E(f42(x833,x831),f42(x833,x832))
% 0.68/0.87 [84]~E(x841,x842)+E(f36(x841),f36(x842))
% 0.68/0.87 [85]~E(x851,x852)+E(f11(x851,x853,x854),f11(x852,x853,x854))
% 0.68/0.87 [86]~E(x861,x862)+E(f11(x863,x861,x864),f11(x863,x862,x864))
% 0.68/0.87 [87]~E(x871,x872)+E(f11(x873,x874,x871),f11(x873,x874,x872))
% 0.68/0.87 [88]~E(x881,x882)+E(f70(x881,x883,x884,x885),f70(x882,x883,x884,x885))
% 0.68/0.87 [89]~E(x891,x892)+E(f70(x893,x891,x894,x895),f70(x893,x892,x894,x895))
% 0.68/0.87 [90]~E(x901,x902)+E(f70(x903,x904,x901,x905),f70(x903,x904,x902,x905))
% 0.68/0.87 [91]~E(x911,x912)+E(f70(x913,x914,x915,x911),f70(x913,x914,x915,x912))
% 0.68/0.87 [92]~E(x921,x922)+E(f72(x921,x923,x924,x925),f72(x922,x923,x924,x925))
% 0.68/0.87 [93]~E(x931,x932)+E(f72(x933,x931,x934,x935),f72(x933,x932,x934,x935))
% 0.68/0.87 [94]~E(x941,x942)+E(f72(x943,x944,x941,x945),f72(x943,x944,x942,x945))
% 0.68/0.87 [95]~E(x951,x952)+E(f72(x953,x954,x955,x951),f72(x953,x954,x955,x952))
% 0.68/0.87 [96]~E(x961,x962)+E(f74(x961,x963,x964,x965),f74(x962,x963,x964,x965))
% 0.68/0.87 [97]~E(x971,x972)+E(f74(x973,x971,x974,x975),f74(x973,x972,x974,x975))
% 0.68/0.87 [98]~E(x981,x982)+E(f74(x983,x984,x981,x985),f74(x983,x984,x982,x985))
% 0.68/0.87 [99]~E(x991,x992)+E(f74(x993,x994,x995,x991),f74(x993,x994,x995,x992))
% 0.68/0.87 [100]~E(x1001,x1002)+E(f52(x1001),f52(x1002))
% 0.68/0.87 [101]~E(x1011,x1012)+E(f8(x1011,x1013,x1014,x1015,x1016),f8(x1012,x1013,x1014,x1015,x1016))
% 0.68/0.87 [102]~E(x1021,x1022)+E(f8(x1023,x1021,x1024,x1025,x1026),f8(x1023,x1022,x1024,x1025,x1026))
% 0.68/0.87 [103]~E(x1031,x1032)+E(f8(x1033,x1034,x1031,x1035,x1036),f8(x1033,x1034,x1032,x1035,x1036))
% 0.68/0.87 [104]~E(x1041,x1042)+E(f8(x1043,x1044,x1045,x1041,x1046),f8(x1043,x1044,x1045,x1042,x1046))
% 0.68/0.87 [105]~E(x1051,x1052)+E(f8(x1053,x1054,x1055,x1056,x1051),f8(x1053,x1054,x1055,x1056,x1052))
% 0.68/0.87 [106]~E(x1061,x1062)+E(f71(x1061,x1063,x1064,x1065),f71(x1062,x1063,x1064,x1065))
% 0.68/0.87 [107]~E(x1071,x1072)+E(f71(x1073,x1071,x1074,x1075),f71(x1073,x1072,x1074,x1075))
% 0.68/0.87 [108]~E(x1081,x1082)+E(f71(x1083,x1084,x1081,x1085),f71(x1083,x1084,x1082,x1085))
% 0.68/0.87 [109]~E(x1091,x1092)+E(f71(x1093,x1094,x1095,x1091),f71(x1093,x1094,x1095,x1092))
% 0.68/0.87 [110]~E(x1101,x1102)+E(f65(x1101,x1103,x1104,x1105),f65(x1102,x1103,x1104,x1105))
% 0.68/0.87 [111]~E(x1111,x1112)+E(f65(x1113,x1111,x1114,x1115),f65(x1113,x1112,x1114,x1115))
% 0.68/0.87 [112]~E(x1121,x1122)+E(f65(x1123,x1124,x1121,x1125),f65(x1123,x1124,x1122,x1125))
% 0.68/0.87 [113]~E(x1131,x1132)+E(f65(x1133,x1134,x1135,x1131),f65(x1133,x1134,x1135,x1132))
% 0.68/0.87 [114]~E(x1141,x1142)+E(f67(x1141,x1143),f67(x1142,x1143))
% 0.68/0.87 [115]~E(x1151,x1152)+E(f67(x1153,x1151),f67(x1153,x1152))
% 0.68/0.87 [116]~E(x1161,x1162)+E(f5(x1161,x1163,x1164,x1165,x1166),f5(x1162,x1163,x1164,x1165,x1166))
% 0.68/0.87 [117]~E(x1171,x1172)+E(f5(x1173,x1171,x1174,x1175,x1176),f5(x1173,x1172,x1174,x1175,x1176))
% 0.68/0.87 [118]~E(x1181,x1182)+E(f5(x1183,x1184,x1181,x1185,x1186),f5(x1183,x1184,x1182,x1185,x1186))
% 0.68/0.87 [119]~E(x1191,x1192)+E(f5(x1193,x1194,x1195,x1191,x1196),f5(x1193,x1194,x1195,x1192,x1196))
% 0.68/0.87 [120]~E(x1201,x1202)+E(f5(x1203,x1204,x1205,x1206,x1201),f5(x1203,x1204,x1205,x1206,x1202))
% 0.68/0.87 [121]~E(x1211,x1212)+E(f19(x1211,x1213,x1214,x1215),f19(x1212,x1213,x1214,x1215))
% 0.68/0.87 [122]~E(x1221,x1222)+E(f19(x1223,x1221,x1224,x1225),f19(x1223,x1222,x1224,x1225))
% 0.68/0.87 [123]~E(x1231,x1232)+E(f19(x1233,x1234,x1231,x1235),f19(x1233,x1234,x1232,x1235))
% 0.68/0.87 [124]~E(x1241,x1242)+E(f19(x1243,x1244,x1245,x1241),f19(x1243,x1244,x1245,x1242))
% 0.68/0.87 [125]~E(x1251,x1252)+E(f28(x1251,x1253),f28(x1252,x1253))
% 0.68/0.87 [126]~E(x1261,x1262)+E(f28(x1263,x1261),f28(x1263,x1262))
% 0.68/0.87 [127]~E(x1271,x1272)+E(f61(x1271,x1273,x1274,x1275),f61(x1272,x1273,x1274,x1275))
% 0.68/0.87 [128]~E(x1281,x1282)+E(f61(x1283,x1281,x1284,x1285),f61(x1283,x1282,x1284,x1285))
% 0.68/0.87 [129]~E(x1291,x1292)+E(f61(x1293,x1294,x1291,x1295),f61(x1293,x1294,x1292,x1295))
% 0.68/0.87 [130]~E(x1301,x1302)+E(f61(x1303,x1304,x1305,x1301),f61(x1303,x1304,x1305,x1302))
% 0.68/0.87 [131]~E(x1311,x1312)+E(f23(x1311,x1313),f23(x1312,x1313))
% 0.68/0.87 [132]~E(x1321,x1322)+E(f23(x1323,x1321),f23(x1323,x1322))
% 0.68/0.87 [133]~E(x1331,x1332)+E(f32(x1331,x1333,x1334,x1335),f32(x1332,x1333,x1334,x1335))
% 0.68/0.87 [134]~E(x1341,x1342)+E(f32(x1343,x1341,x1344,x1345),f32(x1343,x1342,x1344,x1345))
% 0.68/0.87 [135]~E(x1351,x1352)+E(f32(x1353,x1354,x1351,x1355),f32(x1353,x1354,x1352,x1355))
% 0.68/0.87 [136]~E(x1361,x1362)+E(f32(x1363,x1364,x1365,x1361),f32(x1363,x1364,x1365,x1362))
% 0.68/0.87 [137]~E(x1371,x1372)+E(f27(x1371,x1373),f27(x1372,x1373))
% 0.68/0.87 [138]~E(x1381,x1382)+E(f27(x1383,x1381),f27(x1383,x1382))
% 0.68/0.87 [139]~E(x1391,x1392)+E(f73(x1391,x1393,x1394,x1395,x1396,x1397),f73(x1392,x1393,x1394,x1395,x1396,x1397))
% 0.68/0.87 [140]~E(x1401,x1402)+E(f73(x1403,x1401,x1404,x1405,x1406,x1407),f73(x1403,x1402,x1404,x1405,x1406,x1407))
% 0.68/0.87 [141]~E(x1411,x1412)+E(f73(x1413,x1414,x1411,x1415,x1416,x1417),f73(x1413,x1414,x1412,x1415,x1416,x1417))
% 0.68/0.87 [142]~E(x1421,x1422)+E(f73(x1423,x1424,x1425,x1421,x1426,x1427),f73(x1423,x1424,x1425,x1422,x1426,x1427))
% 0.68/0.87 [143]~E(x1431,x1432)+E(f73(x1433,x1434,x1435,x1436,x1431,x1437),f73(x1433,x1434,x1435,x1436,x1432,x1437))
% 0.68/0.88 [144]~E(x1441,x1442)+E(f73(x1443,x1444,x1445,x1446,x1447,x1441),f73(x1443,x1444,x1445,x1446,x1447,x1442))
% 0.68/0.88 [145]~E(x1451,x1452)+E(f64(x1451,x1453,x1454,x1455),f64(x1452,x1453,x1454,x1455))
% 0.68/0.88 [146]~E(x1461,x1462)+E(f64(x1463,x1461,x1464,x1465),f64(x1463,x1462,x1464,x1465))
% 0.68/0.88 [147]~E(x1471,x1472)+E(f64(x1473,x1474,x1471,x1475),f64(x1473,x1474,x1472,x1475))
% 0.68/0.88 [148]~E(x1481,x1482)+E(f64(x1483,x1484,x1485,x1481),f64(x1483,x1484,x1485,x1482))
% 0.68/0.88 [149]~E(x1491,x1492)+E(f33(x1491,x1493,x1494,x1495),f33(x1492,x1493,x1494,x1495))
% 0.68/0.88 [150]~E(x1501,x1502)+E(f33(x1503,x1501,x1504,x1505),f33(x1503,x1502,x1504,x1505))
% 0.68/0.88 [151]~E(x1511,x1512)+E(f33(x1513,x1514,x1511,x1515),f33(x1513,x1514,x1512,x1515))
% 0.68/0.88 [152]~E(x1521,x1522)+E(f33(x1523,x1524,x1525,x1521),f33(x1523,x1524,x1525,x1522))
% 0.68/0.88 [153]~E(x1531,x1532)+E(f24(x1531,x1533),f24(x1532,x1533))
% 0.68/0.88 [154]~E(x1541,x1542)+E(f24(x1543,x1541),f24(x1543,x1542))
% 0.68/0.88 [155]~E(x1551,x1552)+E(f75(x1551,x1553,x1554,x1555,x1556,x1557),f75(x1552,x1553,x1554,x1555,x1556,x1557))
% 0.68/0.88 [156]~E(x1561,x1562)+E(f75(x1563,x1561,x1564,x1565,x1566,x1567),f75(x1563,x1562,x1564,x1565,x1566,x1567))
% 0.68/0.88 [157]~E(x1571,x1572)+E(f75(x1573,x1574,x1571,x1575,x1576,x1577),f75(x1573,x1574,x1572,x1575,x1576,x1577))
% 0.68/0.88 [158]~E(x1581,x1582)+E(f75(x1583,x1584,x1585,x1581,x1586,x1587),f75(x1583,x1584,x1585,x1582,x1586,x1587))
% 0.68/0.88 [159]~E(x1591,x1592)+E(f75(x1593,x1594,x1595,x1596,x1591,x1597),f75(x1593,x1594,x1595,x1596,x1592,x1597))
% 0.68/0.88 [160]~E(x1601,x1602)+E(f75(x1603,x1604,x1605,x1606,x1607,x1601),f75(x1603,x1604,x1605,x1606,x1607,x1602))
% 0.68/0.88 [161]~E(x1611,x1612)+E(f69(x1611,x1613,x1614,x1615),f69(x1612,x1613,x1614,x1615))
% 0.68/0.88 [162]~E(x1621,x1622)+E(f69(x1623,x1621,x1624,x1625),f69(x1623,x1622,x1624,x1625))
% 0.68/0.88 [163]~E(x1631,x1632)+E(f69(x1633,x1634,x1631,x1635),f69(x1633,x1634,x1632,x1635))
% 0.68/0.88 [164]~E(x1641,x1642)+E(f69(x1643,x1644,x1645,x1641),f69(x1643,x1644,x1645,x1642))
% 0.68/0.88 [165]~E(x1651,x1652)+E(f68(x1651,x1653),f68(x1652,x1653))
% 0.68/0.88 [166]~E(x1661,x1662)+E(f68(x1663,x1661),f68(x1663,x1662))
% 0.68/0.88 [167]~E(x1671,x1672)+E(f62(x1671,x1673),f62(x1672,x1673))
% 0.68/0.88 [168]~E(x1681,x1682)+E(f62(x1683,x1681),f62(x1683,x1682))
% 0.68/0.88 [169]~E(x1691,x1692)+E(f66(x1691,x1693,x1694,x1695),f66(x1692,x1693,x1694,x1695))
% 0.68/0.88 [170]~E(x1701,x1702)+E(f66(x1703,x1701,x1704,x1705),f66(x1703,x1702,x1704,x1705))
% 0.68/0.88 [171]~E(x1711,x1712)+E(f66(x1713,x1714,x1711,x1715),f66(x1713,x1714,x1712,x1715))
% 0.68/0.88 [172]~E(x1721,x1722)+E(f66(x1723,x1724,x1725,x1721),f66(x1723,x1724,x1725,x1722))
% 0.68/0.88 [173]~P1(x1731)+P1(x1732)+~E(x1731,x1732)
% 0.68/0.88 [174]P7(x1742,x1743,x1744,x1745,x1746,x1747,x1748,x1749,x17410)+~E(x1741,x1742)+~P7(x1741,x1743,x1744,x1745,x1746,x1747,x1748,x1749,x17410)
% 0.68/0.88 [175]P7(x1753,x1752,x1754,x1755,x1756,x1757,x1758,x1759,x17510)+~E(x1751,x1752)+~P7(x1753,x1751,x1754,x1755,x1756,x1757,x1758,x1759,x17510)
% 0.68/0.88 [176]P7(x1763,x1764,x1762,x1765,x1766,x1767,x1768,x1769,x17610)+~E(x1761,x1762)+~P7(x1763,x1764,x1761,x1765,x1766,x1767,x1768,x1769,x17610)
% 0.68/0.88 [177]P7(x1773,x1774,x1775,x1772,x1776,x1777,x1778,x1779,x17710)+~E(x1771,x1772)+~P7(x1773,x1774,x1775,x1771,x1776,x1777,x1778,x1779,x17710)
% 0.68/0.88 [178]P7(x1783,x1784,x1785,x1786,x1782,x1787,x1788,x1789,x17810)+~E(x1781,x1782)+~P7(x1783,x1784,x1785,x1786,x1781,x1787,x1788,x1789,x17810)
% 0.68/0.88 [179]P7(x1793,x1794,x1795,x1796,x1797,x1792,x1798,x1799,x17910)+~E(x1791,x1792)+~P7(x1793,x1794,x1795,x1796,x1797,x1791,x1798,x1799,x17910)
% 0.68/0.88 [180]P7(x1803,x1804,x1805,x1806,x1807,x1808,x1802,x1809,x18010)+~E(x1801,x1802)+~P7(x1803,x1804,x1805,x1806,x1807,x1808,x1801,x1809,x18010)
% 0.68/0.88 [181]P7(x1813,x1814,x1815,x1816,x1817,x1818,x1819,x1812,x18110)+~E(x1811,x1812)+~P7(x1813,x1814,x1815,x1816,x1817,x1818,x1819,x1811,x18110)
% 0.68/0.88 [182]P7(x1823,x1824,x1825,x1826,x1827,x1828,x1829,x18210,x1822)+~E(x1821,x1822)+~P7(x1823,x1824,x1825,x1826,x1827,x1828,x1829,x18210,x1821)
% 0.68/0.88 [183]~P2(x1831)+P2(x1832)+~E(x1831,x1832)
% 0.68/0.88 [184]~P22(x1841)+P22(x1842)+~E(x1841,x1842)
% 0.68/0.88 [185]~P3(x1851)+P3(x1852)+~E(x1851,x1852)
% 0.68/0.88 [186]~P4(x1861)+P4(x1862)+~E(x1861,x1862)
% 0.68/0.88 [187]~P15(x1871)+P15(x1872)+~E(x1871,x1872)
% 0.68/0.88 [188]P9(x1882,x1883,x1884)+~E(x1881,x1882)+~P9(x1881,x1883,x1884)
% 0.68/0.88 [189]P9(x1893,x1892,x1894)+~E(x1891,x1892)+~P9(x1893,x1891,x1894)
% 0.68/0.88 [190]P9(x1903,x1904,x1902)+~E(x1901,x1902)+~P9(x1903,x1904,x1901)
% 0.68/0.88 [191]~P11(x1911)+P11(x1912)+~E(x1911,x1912)
% 0.68/0.88 [192]P8(x1922,x1923,x1924)+~E(x1921,x1922)+~P8(x1921,x1923,x1924)
% 0.68/0.88 [193]P8(x1933,x1932,x1934)+~E(x1931,x1932)+~P8(x1933,x1931,x1934)
% 0.68/0.88 [194]P8(x1943,x1944,x1942)+~E(x1941,x1942)+~P8(x1943,x1944,x1941)
% 0.68/0.88 [195]~P12(x1951)+P12(x1952)+~E(x1951,x1952)
% 0.68/0.88 [196]P6(x1962,x1963,x1964)+~E(x1961,x1962)+~P6(x1961,x1963,x1964)
% 0.68/0.88 [197]P6(x1973,x1972,x1974)+~E(x1971,x1972)+~P6(x1973,x1971,x1974)
% 0.68/0.88 [198]P6(x1983,x1984,x1982)+~E(x1981,x1982)+~P6(x1983,x1984,x1981)
% 0.68/0.88 [199]~P13(x1991)+P13(x1992)+~E(x1991,x1992)
% 0.68/0.88 [200]~P16(x2001)+P16(x2002)+~E(x2001,x2002)
% 0.68/0.88 [201]P5(x2012,x2013,x2014)+~E(x2011,x2012)+~P5(x2011,x2013,x2014)
% 0.68/0.88 [202]P5(x2023,x2022,x2024)+~E(x2021,x2022)+~P5(x2023,x2021,x2024)
% 0.68/0.88 [203]P5(x2033,x2034,x2032)+~E(x2031,x2032)+~P5(x2033,x2034,x2031)
% 0.68/0.88 [204]~P21(x2041)+P21(x2042)+~E(x2041,x2042)
% 0.68/0.88 [205]P10(x2052,x2053,x2054,x2055)+~E(x2051,x2052)+~P10(x2051,x2053,x2054,x2055)
% 0.68/0.88 [206]P10(x2063,x2062,x2064,x2065)+~E(x2061,x2062)+~P10(x2063,x2061,x2064,x2065)
% 0.68/0.88 [207]P10(x2073,x2074,x2072,x2075)+~E(x2071,x2072)+~P10(x2073,x2074,x2071,x2075)
% 0.68/0.88 [208]P10(x2083,x2084,x2085,x2082)+~E(x2081,x2082)+~P10(x2083,x2084,x2085,x2081)
% 0.68/0.88 [209]~P20(x2091)+P20(x2092)+~E(x2091,x2092)
% 0.68/0.88 [210]~P14(x2101)+P14(x2102)+~E(x2101,x2102)
% 0.68/0.88 [211]~P18(x2111)+P18(x2112)+~E(x2111,x2112)
% 0.68/0.88 [212]~P17(x2121)+P17(x2122)+~E(x2121,x2122)
% 0.68/0.88 [213]~P19(x2131)+P19(x2132)+~E(x2131,x2132)
% 0.68/0.88 [214]~P23(x2141)+P23(x2142)+~E(x2141,x2142)
% 0.68/0.88
% 0.68/0.88 %-------------------------------------------
% 0.68/0.88 cnf(681,plain,
% 0.68/0.88 ($false),
% 0.68/0.88 inference(scs_inference,[],[388,306,255,504]),
% 0.68/0.88 ['proof']).
% 0.68/0.88 % SZS output end Proof
% 0.68/0.88 % Total time :0.030000s
%------------------------------------------------------------------------------