TSTP Solution File: SWV826-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV826-1 : 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 : n013.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 21:35:24 EDT 2023
% Result : Unsatisfiable 2.59s 2.76s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV826-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:26:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.59/2.72 %-------------------------------------------
% 2.59/2.72 % File :CSE---1.6
% 2.59/2.72 % Problem :theBenchmark
% 2.59/2.72 % Transform :cnf
% 2.59/2.72 % Format :tptp:raw
% 2.59/2.72 % Command :java -jar mcs_scs.jar %d %s
% 2.59/2.72
% 2.59/2.72 % Result :Theorem 1.910000s
% 2.59/2.72 % Output :CNFRefutation 1.910000s
% 2.59/2.72 %-------------------------------------------
% 2.59/2.72 %------------------------------------------------------------------------------
% 2.59/2.72 % File : SWV826-1 : TPTP v8.1.2. Released v4.1.0.
% 2.59/2.72 % Domain : Software Verification
% 2.59/2.72 % Problem : Hoare logic with procedures 163_1
% 2.59/2.72 % Version : Especial.
% 2.59/2.72 % English : Completeness is taken relative to completeness of the underlying
% 2.59/2.72 % logic. Two versions of completeness proof: nested single recursion
% 2.59/2.72 % and simultaneous recursion in call rule.
% 2.59/2.72
% 2.59/2.72 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.59/2.72 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.59/2.72 % Source : [Nip10]
% 2.59/2.72 % Names : Hoare-163_1 [Nip10]
% 2.59/2.72
% 2.59/2.72 % Status : Unsatisfiable
% 2.59/2.72 % Rating : 0.43 v8.1.0, 0.32 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.60 v6.1.0, 0.57 v6.0.0, 0.50 v5.5.0, 0.85 v5.3.0, 0.89 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.79 v4.1.0
% 2.59/2.72 % Syntax : Number of clauses : 499 ( 143 unt; 49 nHn; 248 RR)
% 2.59/2.73 % Number of literals : 1069 ( 298 equ; 550 neg)
% 2.59/2.73 % Maximal clause size : 6 ( 2 avg)
% 2.59/2.73 % Maximal term depth : 9 ( 2 avg)
% 2.59/2.73 % Number of predicates : 24 ( 23 usr; 0 prp; 1-9 aty)
% 2.59/2.73 % Number of functors : 60 ( 60 usr; 14 con; 0-6 aty)
% 2.59/2.73 % Number of variables : 1863 ( 360 sgn)
% 2.59/2.73 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.59/2.73
% 2.59/2.73 % Comments :
% 2.59/2.73 %------------------------------------------------------------------------------
% 2.59/2.73 cnf(cls_Diff__triv_0,axiom,
% 2.59/2.73 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.73 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_sup__fun__eq_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olattice(T_b)
% 2.59/2.73 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__imageI_0,axiom,
% 2.59/2.73 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b)
% 2.59/2.73 | ~ c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Int__Un__distrib2_0,axiom,
% 2.59/2.73 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Int__Un__distrib_0,axiom,
% 2.59/2.73 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inf__sup__distrib1_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inf__sup__distrib2_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Int__Collect_1,axiom,
% 2.59/2.73 ( hBOOL(hAPP(V_P,V_x))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Un__absorb_0,axiom,
% 2.59/2.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_sup__idem_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__insert_2,axiom,
% 2.59/2.73 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)
% 2.59/2.73 | hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 2.59/2.73 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 ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_mem__def_1,axiom,
% 2.59/2.73 ( hBOOL(c_in(V_x,V_S,T_a))
% 2.59/2.73 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_mem__def_0,axiom,
% 2.59/2.73 ( hBOOL(hAPP(V_S,V_x))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_COMBB__def_0,axiom,
% 2.59/2.73 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_COMBC__def_0,axiom,
% 2.59/2.73 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_COMBI__def_0,axiom,
% 2.59/2.73 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_COMBK__def_0,axiom,
% 2.59/2.73 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_COMBS__def_0,axiom,
% 2.59/2.73 c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__Un_3,axiom,
% 2.59/2.73 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.73 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__Un_2,axiom,
% 2.59/2.73 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Diff__idemp_0,axiom,
% 2.59/2.73 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)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_eq__eqI_1,axiom,
% 2.59/2.73 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.59/2.73 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.59/2.73 | V_xa = V_y ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_eq__eqI_0,axiom,
% 2.59/2.73 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.59/2.73 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.59/2.73 | V_x_H = V_y_H ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Max__mono_0,axiom,
% 2.59/2.73 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.73 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 2.59/2.73 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.59/2.73 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.73 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_linorder_Oneq__iff_1,axiom,
% 2.59/2.73 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.59/2.73 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_linorder_Onot__less__iff__gr__or__eq_2,axiom,
% 2.59/2.73 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.59/2.73 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_lessThan__subset__iff_1,axiom,
% 2.59/2.73 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.73 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 2.59/2.73 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_lessThan__subset__iff_0,axiom,
% 2.59/2.73 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.73 | c_lessequals(V_x,V_y,T_a)
% 2.59/2.73 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_image__diff__subset_0,axiom,
% 2.59/2.73 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)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Un__left__commute_0,axiom,
% 2.59/2.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Un__assoc_0,axiom,
% 2.59/2.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_sup__assoc_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_sup__left__commute_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_IntE_1,axiom,
% 2.59/2.73 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_IntE_0,axiom,
% 2.59/2.73 ( hBOOL(c_in(V_c,V_A,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__contraD_0,axiom,
% 2.59/2.73 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.59/2.73 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.73 | V_x = V_y
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__iff_0,axiom,
% 2.59/2.73 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.59/2.73 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.73 | V_x = V_y ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__on__def_0,axiom,
% 2.59/2.73 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.59/2.73 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.73 | V_x = V_xa ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inj__onD_0,axiom,
% 2.59/2.73 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.59/2.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.73 | V_x = V_y
% 2.59/2.73 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.59/2.73 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Int__absorb2_0,axiom,
% 2.59/2.73 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 2.59/2.73 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Int__absorb1_0,axiom,
% 2.59/2.73 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 2.59/2.73 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_le__iff__inf_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 2.59/2.73 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_le__iff__inf_1,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 2.59/2.73 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_inf__absorb2_0,axiom,
% 2.59/2.73 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.73 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 2.59/2.73 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Un__subset__iff_2,axiom,
% 2.59/2.73 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 2.59/2.73 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.73 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.73
% 2.59/2.73 cnf(cls_Un__upper2_0,axiom,
% 2.59/2.74 c_lessequals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Un__upper1_0,axiom,
% 2.59/2.74 c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Un__least_0,axiom,
% 2.59/2.74 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_le__supI_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)
% 2.59/2.74 | ~ c_lessequals(V_b,V_x,T_a)
% 2.59/2.74 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup__ge1_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup__ge2_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup__least_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)
% 2.59/2.74 | ~ c_lessequals(V_z,V_x,T_a)
% 2.59/2.74 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_le__sup__iff_2,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)
% 2.59/2.74 | ~ c_lessequals(V_y,V_z,T_a)
% 2.59/2.74 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.74 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.74 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Int__commute_0,axiom,
% 2.59/2.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inf__commute_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Diff__partition_0,axiom,
% 2.59/2.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B
% 2.59/2.74 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_lessThan__eq__iff_0,axiom,
% 2.59/2.74 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.74 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 2.59/2.74 | V_x = V_y ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I14_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_distrib__inf__le_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.74 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Diff__subset_0,axiom,
% 2.59/2.74 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)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Un__Int__crazy_0,axiom,
% 2.59/2.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_image__constant__conv_0,axiom,
% 2.59/2.74 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_CollectI_0,axiom,
% 2.59/2.74 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 2.59/2.74 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_CollectD_0,axiom,
% 2.59/2.74 ( hBOOL(hAPP(V_P,V_a))
% 2.59/2.74 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_image__constant_0,axiom,
% 2.59/2.74 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_image__subset__iff_0,axiom,
% 2.59/2.74 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 2.59/2.74 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__surj_0,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(V_B,T_b)
% 2.59/2.74 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inj__on__image__Int_0,axiom,
% 2.59/2.74 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 2.59/2.74 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_subset__insert__iff_0,axiom,
% 2.59/2.74 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.74 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_subset__insert__iff_3,axiom,
% 2.59/2.74 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.74 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_diff__single__insert_0,axiom,
% 2.59/2.74 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.74 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_fold1__def_0,axiom,
% 2.59/2.74 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_le__SUPI_0,axiom,
% 2.59/2.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 2.59/2.74 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 2.59/2.74 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_UN__upper_0,axiom,
% 2.59/2.74 ( 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))
% 2.59/2.74 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_insert__Diff1_0,axiom,
% 2.59/2.74 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_image__ident_0,axiom,
% 2.59/2.74 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I17_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_below__fold1__iff_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.74 | c_lessequals(V_x,V_xa,T_a)
% 2.59/2.74 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 2.59/2.74 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)
% 2.59/2.74 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__Diff_0,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inj__on__diff_0,axiom,
% 2.59/2.74 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.59/2.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Inf__insert_0,axiom,
% 2.59/2.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.74 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Collect__def_0,axiom,
% 2.59/2.74 c_Collect(V_P,T_a) = V_P ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_fun__left__comm__idem__sup_0,axiom,
% 2.59/2.74 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.74 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I3_J_1,axiom,
% 2.59/2.74 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.59/2.74 | V_com2 = V_com2_H ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I3_J_0,axiom,
% 2.59/2.74 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.59/2.74 | V_com1 = V_com1_H ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I46_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Sup__insert_0,axiom,
% 2.59/2.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.74 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I44_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__Diff2_0,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__Diff2_1,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inj__on__id2_0,axiom,
% 2.59/2.74 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__UN_0,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 2.59/2.74 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.74 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I52_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_DiffE_0,axiom,
% 2.59/2.74 ( hBOOL(c_in(V_c,V_A,T_a))
% 2.59/2.74 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 2.59/2.74 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 2.59/2.74 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
% 2.59/2.74 | V_A = V_B ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_DiffE_1,axiom,
% 2.59/2.74 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.74 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_UN__subset__iff_0,axiom,
% 2.59/2.74 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 2.59/2.74 | ~ 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)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_K__record__comp_0,axiom,
% 2.59/2.74 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I45_J_0,axiom,
% 2.59/2.74 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_UN__absorb_0,axiom,
% 2.59/2.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 2.59/2.74 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I4_J_2,axiom,
% 2.59/2.74 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.59/2.74 | V_com2 = V_com2_H ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I4_J_1,axiom,
% 2.59/2.74 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.59/2.74 | V_com1 = V_com1_H ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_com_Osimps_I4_J_0,axiom,
% 2.59/2.74 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.59/2.74 | V_fun = V_fun_H ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_image__Int__subset_0,axiom,
% 2.59/2.74 c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__Un_2,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_finite__UnI_0,axiom,
% 2.59/2.74 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 2.59/2.74 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.74 | 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))
% 2.59/2.74 | ~ c_lessequals(V_b,V_d,T_a)
% 2.59/2.74 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 2.59/2.74 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.74 | c_lessequals(V_b,V_d,T_a)
% 2.59/2.74 | ~ c_lessequals(V_a,V_b,T_a)
% 2.59/2.74 | ~ 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)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 2.59/2.74 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.74 | c_lessequals(V_c,V_a,T_a)
% 2.59/2.74 | ~ c_lessequals(V_a,V_b,T_a)
% 2.59/2.74 | ~ 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)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 2.59/2.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 2.59/2.74 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 2.59/2.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 2.59/2.74 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_o__apply_0,axiom,
% 2.59/2.74 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_o__eq__dest__lhs_0,axiom,
% 2.59/2.74 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 2.59/2.74 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.74 | 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))
% 2.59/2.74 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup1E_0,axiom,
% 2.59/2.74 ( hBOOL(hAPP(V_B,V_x))
% 2.59/2.74 | hBOOL(hAPP(V_A,V_x))
% 2.59/2.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup1CI_0,axiom,
% 2.59/2.74 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.59/2.74 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_sup1CI_1,axiom,
% 2.59/2.74 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.59/2.74 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_endo__inj__surj_0,axiom,
% 2.59/2.74 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 2.59/2.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.59/2.74 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 2.59/2.74 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.74
% 2.59/2.74 cnf(cls_UnE_0,axiom,
% 2.59/2.74 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.74 | hBOOL(c_in(V_c,V_A,T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__left__commute_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__assoc_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__assoc_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__left__commute_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 2.59/2.75 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 2.59/2.75 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_finite__Un_0,axiom,
% 2.59/2.75 ( c_Finite__Set_Ofinite(V_F,T_a)
% 2.59/2.75 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_finite__Un_1,axiom,
% 2.59/2.75 ( c_Finite__Set_Ofinite(V_G,T_a)
% 2.59/2.75 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_com_Osimps_I16_J_0,axiom,
% 2.59/2.75 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Diff__Int__distrib_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Diff__Int__distrib2_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Diff__mono_0,axiom,
% 2.59/2.75 ( 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))
% 2.59/2.75 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 2.59/2.75 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_distrib__sup__le_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Diff__Int2_0,axiom,
% 2.59/2.75 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_sup__inf__absorb_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_equalityI_0,axiom,
% 2.59/2.75 ( V_A = V_B
% 2.59/2.75 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_set__eq__subset_2,axiom,
% 2.59/2.75 ( V_A = V_B
% 2.59/2.75 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_order__eq__iff_2,axiom,
% 2.59/2.75 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.75 | V_x = V_y
% 2.59/2.75 | ~ c_lessequals(V_y,V_x,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_order__antisym_0,axiom,
% 2.59/2.75 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.75 | V_x = V_y
% 2.59/2.75 | ~ c_lessequals(V_y,V_x,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_order__antisym__conv_0,axiom,
% 2.59/2.75 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.75 | V_x = V_y
% 2.59/2.75 | ~ c_lessequals(V_x,V_y,T_a)
% 2.59/2.75 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__sup__absorb_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__Diff__Int_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_sup__absorb1_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x
% 2.59/2.75 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__iff__sup_1,axiom,
% 2.59/2.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y
% 2.59/2.75 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__iff__sup_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y
% 2.59/2.75 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__absorb1_0,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 2.59/2.75 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__absorb2_0,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 2.59/2.75 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_subset__Un__eq_1,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B
% 2.59/2.75 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_finite__imageI_0,axiom,
% 2.59/2.75 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 2.59/2.75 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_bot__empty__eq_0,axiom,
% 2.59/2.75 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Min__antimono_0,axiom,
% 2.59/2.75 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.75 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 2.59/2.75 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.59/2.75 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Onot__less__iff__gr__or__eq_1,axiom,
% 2.59/2.75 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.75 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_OleD_0,axiom,
% 2.59/2.75 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.75 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_OleI_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.59/2.75 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Olinear_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.59/2.75 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Onot__le_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.75 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Onot__le_1,axiom,
% 2.59/2.75 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.59/2.75 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Onot__leE_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.75 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Oantisym__conv1_1,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.59/2.75 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_linorder_Oantisym__conv2_1,axiom,
% 2.59/2.75 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 2.59/2.75 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.59/2.75 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Diff__iff_2,axiom,
% 2.59/2.75 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 2.59/2.75 | hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_DiffI_0,axiom,
% 2.59/2.75 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 2.59/2.75 | hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_insert__subset_0,axiom,
% 2.59/2.75 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.59/2.75 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_SUP__const_0,axiom,
% 2.59/2.75 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 2.59/2.75 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 2.59/2.75 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_insert__image_0,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_subset__insert__iff_2,axiom,
% 2.59/2.75 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_subset__insert__iff_1,axiom,
% 2.59/2.75 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.75 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_subset__insert_1,axiom,
% 2.59/2.75 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_subset__insert_0,axiom,
% 2.59/2.75 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.75 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__insert__right_1,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)
% 2.59/2.75 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__insert__left_1,axiom,
% 2.59/2.75 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)
% 2.59/2.75 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_UN__iff_2,axiom,
% 2.59/2.75 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_UN__I_0,axiom,
% 2.59/2.75 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 2.59/2.75 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 2.59/2.75 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__Diff__cancel2_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__Diff__cancel_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_fun__diff__def_0,axiom,
% 2.59/2.75 ( ~ class_HOL_Ominus(T_b)
% 2.59/2.75 | 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) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__subset__iff_1,axiom,
% 2.59/2.75 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Int__subset__iff_0,axiom,
% 2.59/2.75 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 2.59/2.75 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__infE_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(V_x,V_a,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__infE_1,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(V_x,V_b,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__infI1_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 2.59/2.75 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__infI2_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 2.59/2.75 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__inf__iff_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(V_x,V_y,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_le__inf__iff_1,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.75 | c_lessequals(V_x,V_z,T_a)
% 2.59/2.75 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__Diff_0,axiom,
% 2.59/2.75 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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))) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 2.59/2.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 2.59/2.75 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__commute_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_sup__commute_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_com_Osimps_I5_J_0,axiom,
% 2.59/2.75 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.59/2.75 | V_fun = V_fun_H ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_com_Osimps_I5_J_1,axiom,
% 2.59/2.75 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.59/2.75 | V_com = V_com_H ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_Un__left__absorb_0,axiom,
% 2.59/2.75 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_sup__left__idem_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 2.59/2.75 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.75 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 2.59/2.75
% 2.59/2.75 cnf(cls_comp__inj__on_0,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_com_Osimps_I15_J_0,axiom,
% 2.59/2.76 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_SUP1__iff_2,axiom,
% 2.59/2.76 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_SUP1__I_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__disjoint_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_com_Osimps_I53_J_0,axiom,
% 2.59/2.76 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite_0,axiom,
% 2.59/2.76 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.59/2.76 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__Collect_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__insert_1,axiom,
% 2.59/2.76 ( ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_Oantisym__conv2_0,axiom,
% 2.59/2.76 ( V_x = V_y
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_Oantisym__conv1_0,axiom,
% 2.59/2.76 ( V_x = V_y
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__Diff__if_1,axiom,
% 2.59/2.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))
% 2.59/2.76 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf1E_1,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_B,V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf1E_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_A,V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__surj__inj_0,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.59/2.76 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__Un_1,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__Un_0,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_rev__image__eqI_0,axiom,
% 2.59/2.76 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 2.59/2.76 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__iff_2,axiom,
% 2.59/2.76 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 2.59/2.76 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__eqI_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_imageI_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__subset__conv_1,axiom,
% 2.59/2.76 ( 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))
% 2.59/2.76 | ~ c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__subset__conv_0,axiom,
% 2.59/2.76 ( c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ 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)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fun__left__comm__idem__inf_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__Int_1,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__Int_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__funD_0,axiom,
% 2.59/2.76 ( ~ class_HOL_Oord(T_b)
% 2.59/2.76 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 2.59/2.76 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__bot__left_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__bot__right_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__bot__left_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__bot__right_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_bot__least_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Obot(T_a)
% 2.59/2.76 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 2.59/2.76 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__empty_2,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__is__empty_0,axiom,
% 2.59/2.76 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 2.59/2.76 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 2.59/2.76 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__Collect__eq_0,axiom,
% 2.59/2.76 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 2.59/2.76 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_ex__in__conv_0,axiom,
% 2.59/2.76 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_ball__empty_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_P,V_x))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__iff_0,axiom,
% 2.59/2.76 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_emptyE_0,axiom,
% 2.59/2.76 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__empty_1,axiom,
% 2.59/2.76 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)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__empty_0,axiom,
% 2.59/2.76 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Collect__empty__eq_0,axiom,
% 2.59/2.76 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__fold1SetE_0,axiom,
% 2.59/2.76 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__Diff_0,axiom,
% 2.59/2.76 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)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__empty__right_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__empty__left_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__cancel_0,axiom,
% 2.59/2.76 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)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__empty_0,axiom,
% 2.59/2.76 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 ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite_OemptyI_0,axiom,
% 2.59/2.76 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__empty__right_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__empty__left_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__subsetI_0,axiom,
% 2.59/2.76 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__is__image_0,axiom,
% 2.59/2.76 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__empty_0,axiom,
% 2.59/2.76 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__empty_0,axiom,
% 2.59/2.76 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_bex__empty_0,axiom,
% 2.59/2.76 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__empty_1,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__empty_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__is__image_1,axiom,
% 2.59/2.76 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__Diff_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = V_A
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__constant__conv_1,axiom,
% 2.59/2.76 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_UN__insert_0,axiom,
% 2.59/2.76 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fold1__belowI_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Inf__lower_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.59/2.76 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.59/2.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__insert__left_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__insert__right_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__mono_0,axiom,
% 2.59/2.76 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.76 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.76 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__greatest_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__inf__iff_2,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__infI_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_b,T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__le2_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__le1_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__lower1_0,axiom,
% 2.59/2.76 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__lower2_0,axiom,
% 2.59/2.76 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__greatest_0,axiom,
% 2.59/2.76 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__subset__iff_2,axiom,
% 2.59/2.76 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_o__assoc_0,axiom,
% 2.59/2.76 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_com_Osimps_I13_J_0,axiom,
% 2.59/2.76 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__inf__distrib2_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_sup__inf__distrib1_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__Int__distrib_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__Int__distrib2_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_o__def_0,axiom,
% 2.59/2.76 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__subset_2,axiom,
% 2.59/2.76 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__image_0,axiom,
% 2.59/2.76 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) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__left__idem_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__left__absorb_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fun__left__comm__idem_Ofun__left__idem_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z)) = hAPP(hAPP(V_f,V_x),V_z)
% 2.59/2.76 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__Diff__insert_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__Diff__insert_1,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__compose_0,axiom,
% 2.59/2.76 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_com_Osimps_I47_J_0,axiom,
% 2.59/2.76 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_UnCI_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_UnCI_1,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__idem_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__absorb_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__sup__iff_1,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_y,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__sup__iff_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__supI2_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__supI1_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__supE_1,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_b,V_x,T_a)
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__supE_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.59/2.76 | c_lessequals(V_a,V_x,T_a)
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__subset__iff_0,axiom,
% 2.59/2.76 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__subset__iff_1,axiom,
% 2.59/2.76 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Max__in_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf__fun__eq_0,axiom,
% 2.59/2.76 ( ~ class_Lattices_Olattice(T_b)
% 2.59/2.76 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_xt1_I6_J_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_lessequals(V_z,V_x,T_a)
% 2.59/2.76 | ~ c_lessequals(V_z,V_y,T_a)
% 2.59/2.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_order__trans_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Opreorder(T_a)
% 2.59/2.76 | c_lessequals(V_x,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(V_y,V_z,T_a)
% 2.59/2.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_set__mp_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subsetD_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_equalityE_0,axiom,
% 2.59/2.76 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_set__rev__mp_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__iff_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_t,V_B,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__refl_0,axiom,
% 2.59/2.76 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__trans_0,axiom,
% 2.59/2.76 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__inj__on_0,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_predicate1D_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_Q,V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(V_P,V_x))
% 2.59/2.76 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_order__eq__iff_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_order__eq__refl_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Opreorder(T_a)
% 2.59/2.76 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__subset_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_rev__predicate1D_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_Q,V_x))
% 2.59/2.76 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_rev__finite__subset_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__mono_0,axiom,
% 2.59/2.76 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__Un_0,axiom,
% 2.59/2.76 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__Diff_0,axiom,
% 2.59/2.76 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__image__set__diff_0,axiom,
% 2.59/2.76 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(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))
% 2.59/2.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Min__in_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__Collect_2,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))
% 2.59/2.76 | ~ hBOOL(hAPP(V_P,V_x))
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_o__eq__dest_0,axiom,
% 2.59/2.76 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 2.59/2.76 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_comp__cong_0,axiom,
% 2.59/2.76 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 2.59/2.76 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__Int_0,axiom,
% 2.59/2.76 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_UN__Un_0,axiom,
% 2.59/2.76 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_the__sym__eq__trivial_0,axiom,
% 2.59/2.76 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_Onot__less__iff__gr__or__eq_0,axiom,
% 2.59/2.76 ( V_x = V_y
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_OneqE_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | V_x = V_y
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_Oless__linear_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.76 | V_x = V_y
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_Oantisym__conv3_0,axiom,
% 2.59/2.76 ( V_x = V_y
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.59/2.76 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Min__le_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_IntI_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Int__iff_2,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inf1I_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(V_B,V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fun__left__comm__idem_Ofun__comp__idem_0,axiom,
% 2.59/2.76 ( c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b) = hAPP(V_f,V_x)
% 2.59/2.76 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_double__diff_0,axiom,
% 2.59/2.76 ( 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
% 2.59/2.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__eqI_0,axiom,
% 2.59/2.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.59/2.76 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.59/2.76 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.59/2.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_le__eqI_1,axiom,
% 2.59/2.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.59/2.76 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.59/2.76 | c_lessequals(V_y,V_x,T_a)
% 2.59/2.76 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__mono_0,axiom,
% 2.59/2.76 ( 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))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__image__iff_2,axiom,
% 2.59/2.76 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 2.59/2.76 | 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)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__imageD_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(V_A,T_b)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Max__ge_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__Un_0,axiom,
% 2.59/2.76 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Sup__upper_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 2.59/2.76 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_com_Osimps_I12_J_0,axiom,
% 2.59/2.76 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder__linear_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | c_lessequals(V_y,V_x,T_a)
% 2.59/2.76 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Sup__binary_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_linorder_OMax__singleton_0,axiom,
% 2.59/2.76 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.59/2.76 | c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))),T_b) = V_a ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_single__Diff__lessThan_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__insert__iff_4,axiom,
% 2.59/2.76 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__insert__absorb_0,axiom,
% 2.59/2.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) = V_A
% 2.59/2.76 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Inf__binary_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__mono_0,axiom,
% 2.59/2.76 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__iff_2,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insertCI_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_image__insert_0,axiom,
% 2.59/2.76 c_Set_Oimage(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B),T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 2.59/2.76 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 2.59/2.76 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insertE_0,axiom,
% 2.59/2.76 ( hBOOL(c_in(V_a,V_A,T_a))
% 2.59/2.76 | V_a = V_b
% 2.59/2.76 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__insert_1,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_finite__insert_0,axiom,
% 2.59/2.76 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.59/2.76 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__insertI_0,axiom,
% 2.59/2.76 c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__inter__insert_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__insert__right_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Un__insert__left_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__insertI2_0,axiom,
% 2.59/2.76 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__subset_1,axiom,
% 2.59/2.76 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_inj__on__insert_0,axiom,
% 2.59/2.76 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.59/2.76 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__iff_1,axiom,
% 2.59/2.76 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insertI1_0,axiom,
% 2.59/2.76 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insertCI_1,axiom,
% 2.59/2.76 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fun__left__comm__idem__insert_0,axiom,
% 2.59/2.76 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__ident_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)
% 2.59/2.76 | hBOOL(c_in(V_x,V_B,T_a))
% 2.59/2.76 | hBOOL(c_in(V_x,V_A,T_a))
% 2.59/2.76 | V_A = V_B ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__absorb_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A
% 2.59/2.76 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Osplit__asm_0,axiom,
% 2.59/2.76 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))
% 2.59/2.76 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Osplit_0,axiom,
% 2.59/2.76 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))
% 2.59/2.76 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Orecs_0,axiom,
% 2.59/2.76 c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Ocases_0,axiom,
% 2.59/2.76 c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_COMBI__def__raw_0,axiom,
% 2.59/2.76 hAPP(c_COMBI(t_a),v_P) = v_P ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_weaken_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.59/2.76 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_asm_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.59/2.76 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_COMBB__def__raw_0,axiom,
% 2.59/2.76 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_COMBS__def__raw_0,axiom,
% 2.59/2.76 c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_COMBC__def__raw_0,axiom,
% 2.59/2.76 c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Loop_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_OIf_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_bot__fun__eq_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Obot(T_b)
% 2.59/2.76 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Sup__empty_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | 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) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_singleton__conv2_0,axiom,
% 2.59/2.76 c_Collect(c_fequal(V_a,T_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_subset__singletonD_0,axiom,
% 2.59/2.76 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 2.59/2.76 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_singleton__iff_1,axiom,
% 2.59/2.76 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 2.59/2.76 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 2.59/2.76 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Sup__singleton_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 2.59/2.76 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fold1Set__sing_1,axiom,
% 2.59/2.76 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Min__singleton_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 2.59/2.76 c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 2.59/2.76 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_inf,V_a),V_b)
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 2.59/2.76 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_sup,V_a),V_b)
% 2.59/2.76 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__insert2_0,axiom,
% 2.59/2.76 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Diff__insert_0,axiom,
% 2.59/2.76 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),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)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fold1Set__sing_0,axiom,
% 2.59/2.76 ( V_a = V_b
% 2.59/2.76 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_contents__eq_0,axiom,
% 2.59/2.76 c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 2.59/2.76 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_singletonE_0,axiom,
% 2.59/2.76 ( V_b = V_a
% 2.59/2.76 | ~ hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_fold1__singleton_0,axiom,
% 2.59/2.76 c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Max__singleton_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Olinorder(T_a)
% 2.59/2.76 | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__Diff__single_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 2.59/2.76 ( ~ class_Orderings_Oorder(T_a)
% 2.59/2.76 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.59/2.76 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__is__Un_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Inf__singleton_0,axiom,
% 2.59/2.76 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.59/2.76 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq_1,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq12_1,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq12_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq_2,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conseq12_2,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_COMBK__def__raw_0,axiom,
% 2.59/2.76 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 2.59/2.76 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_Comp_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__code_1,axiom,
% 2.59/2.76 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_cut_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 2.59/2.76 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty__not__insert_0,axiom,
% 2.59/2.76 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Oinject_2,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.59/2.76 | V_fun2 = V_fun2_H ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Oinject_1,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.59/2.76 | V_com = V_com_H ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_triple_Oinject_0,axiom,
% 2.59/2.76 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.59/2.76 | V_fun1 = V_fun1_H ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 2.59/2.76 | V_b = V_c
% 2.59/2.76 | V_b = V_d ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 2.59/2.76 | V_a = V_d
% 2.59/2.76 | V_b = V_d ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 2.59/2.76 | V_b = V_c
% 2.59/2.76 | V_a = V_c ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 2.59/2.76 | V_a = V_d
% 2.59/2.76 | V_a = V_c ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_bot1E_0,axiom,
% 2.59/2.76 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_empty_0,axiom,
% 2.59/2.76 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__code_0,axiom,
% 2.59/2.76 ( hBOOL(hAPP(V_A,V_x))
% 2.59/2.76 | V_y = V_x
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__absorb2_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__not__empty_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__commute_0,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.59/2.76 hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_singleton__inject_0,axiom,
% 2.59/2.76 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 2.59/2.76 | V_a = V_b ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_insert__code_2,axiom,
% 2.59/2.76 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))
% 2.59/2.76 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conjecture_0,negated_conjecture,
% 2.59/2.76 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conjecture_1,negated_conjecture,
% 2.59/2.76 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_conjecture_2,negated_conjecture,
% 2.59/2.76 ( hBOOL(hAPP(hAPP(v_P_H,V_Z),V_s))
% 2.59/2.76 | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.59/2.76 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 2.59/2.76 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 2.59/2.76 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 2.59/2.76 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 2.59/2.76 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 2.59/2.76 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.59/2.76 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.59/2.76 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 2.59/2.76 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.59/2.76 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.59/2.76 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_Orderings_Obot(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__HOL_Ominus,axiom,
% 2.59/2.76 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_HOL_Ominus(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_fun__HOL_Oord,axiom,
% 2.59/2.76 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 2.59/2.76 | ~ class_HOL_Oord(T_1) ) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.59/2.76 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 2.59/2.76 class_Lattices_Oupper__semilattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 2.59/2.76 class_Lattices_Olower__semilattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 2.59/2.76 class_Lattices_Odistrib__lattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 2.59/2.76 class_Lattices_Obounded__lattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 2.59/2.76 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.59/2.76 class_Orderings_Opreorder(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 2.59/2.76 class_Lattices_Olattice(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.59/2.76 class_Orderings_Oorder(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.59/2.76 class_Orderings_Obot(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__HOL_Ominus,axiom,
% 2.59/2.76 class_HOL_Ominus(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(clsarity_bool__HOL_Oord,axiom,
% 2.59/2.76 class_HOL_Oord(tc_bool) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.59/2.76 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 2.59/2.76
% 2.59/2.76 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.59/2.76 ( V_X = V_Y
% 2.59/2.76 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 2.59/2.76
% 2.59/2.76 %------------------------------------------------------------------------------
% 2.59/2.76 %-------------------------------------------
% 2.59/2.76 % Proof found
% 2.59/2.76 % SZS status Theorem for theBenchmark
% 2.59/2.76 % SZS output start Proof
% 2.59/2.77 %ClaNum:659(EqnAxiom:167)
% 2.59/2.77 %VarNum:3704(SingletonVarNum:1549)
% 2.59/2.77 %MaxLitNum:6
% 2.59/2.77 %MaxfuncDepth:6
% 2.59/2.77 %SharedTerms:54
% 2.59/2.77 %goalClause: 269 303 377
% 2.59/2.77 %singleGoalClaCount:2
% 2.59/2.77 [168]P1(a1)
% 2.59/2.77 [169]P2(a1)
% 2.59/2.77 [170]P15(a1)
% 2.59/2.77 [171]P16(a1)
% 2.59/2.77 [172]P3(a1)
% 2.59/2.77 [173]P17(a1)
% 2.59/2.77 [174]P11(a1)
% 2.59/2.77 [175]P12(a1)
% 2.59/2.77 [176]P13(a1)
% 2.59/2.77 [177]P14(a1)
% 2.59/2.77 [178]P18(a1)
% 2.59/2.77 [179]P22(a1)
% 2.59/2.77 [194]E(f33(a44,f6(f40(a2,a1)),a2),f5(f6(f40(a2,a1)),a44))
% 2.59/2.77 [269]P8(a41,f5(f5(f28(f36(a2)),f21(a43,a45,a42,a2)),f6(f40(f36(a2),a1))),a2)
% 2.59/2.77 [303]~P8(a41,f5(f5(f28(f36(a2)),f21(a39,a45,a42,a2)),f6(f40(f36(a2),a1))),a2)
% 2.59/2.77 [185]P7(f28(x1851),x1851,f40(x1851,a1))
% 2.59/2.77 [182]P4(f6(f40(x1821,a1)),x1821)
% 2.59/2.77 [184]P6(x1841,x1841,f40(x1842,a1))
% 2.59/2.77 [207]P9(f3(x2071),x2072,x2071,x2071)
% 2.59/2.77 [286]~E(f13(x2861,x2862),a11)
% 2.59/2.77 [287]~E(f14(x2871,x2872),a11)
% 2.59/2.77 [181]E(f5(f3(x1811),x1812),x1812)
% 2.59/2.77 [186]E(f7(x1861,x1861,f40(x1862,a1)),f6(f40(x1862,a1)))
% 2.59/2.77 [189]P6(f6(f40(x1891,a1)),x1892,f40(x1891,a1))
% 2.59/2.77 [190]E(f7(x1901,f6(f40(x1902,a1)),f40(x1902,a1)),x1901)
% 2.59/2.77 [195]E(f7(f6(f40(x1951,a1)),x1952,f40(x1951,a1)),f6(f40(x1951,a1)))
% 2.59/2.77 [208]E(f32(f3(x2081),x2082,x2081,x2081),x2082)
% 2.59/2.77 [191]P8(x1911,f6(f40(f36(x1912),a1)),x1912)
% 2.59/2.77 [198]E(f5(f5(f25(f40(x1981,a1)),x1982),f6(f40(x1981,a1))),x1982)
% 2.59/2.77 [203]E(f5(f5(f20(f40(x2031,a1)),x2032),f6(f40(x2031,a1))),f6(f40(x2031,a1)))
% 2.59/2.77 [298]~P23(f5(f6(f40(x2981,a1)),x2982))
% 2.59/2.77 [301]~P23(f33(x3011,f6(f40(x3012,a1)),x3012))
% 2.59/2.77 [192]E(f5(f5(f20(f40(x1921,a1)),x1922),x1922),x1922)
% 2.59/2.77 [193]E(f5(f5(f25(f40(x1931,a1)),x1932),x1932),x1932)
% 2.59/2.77 [201]E(f34(f5(f5(f28(x2011),x2012),f6(f40(x2011,a1))),x2011),x2012)
% 2.59/2.77 [202]E(f29(f5(f5(f28(x2021),x2022),f6(f40(x2021,a1))),x2021),x2022)
% 2.59/2.77 [206]E(f5(f5(f25(f40(x2061,a1)),f6(f40(x2061,a1))),x2062),x2062)
% 2.59/2.77 [209]E(f5(f5(f20(f40(x2091,a1)),f6(f40(x2091,a1))),x2092),f6(f40(x2091,a1)))
% 2.59/2.77 [262]P23(f5(f5(f5(f28(x2621),x2622),f6(f40(x2621,a1))),f26(f5(f5(f28(x2621),x2622),f6(f40(x2621,a1))),x2621)))
% 2.59/2.77 [291]~E(f12(x2911,x2912,x2913),a11)
% 2.59/2.77 [204]P6(f7(x2041,x2042,f40(x2043,a1)),x2041,f40(x2043,a1))
% 2.59/2.77 [212]P9(x2121,f6(f40(x2122,a1)),x2122,x2123)
% 2.59/2.77 [213]E(f7(f7(x2131,x2132,f40(x2133,a1)),x2132,f40(x2133,a1)),f7(x2131,x2132,f40(x2133,a1)))
% 2.59/2.77 [196]P6(x1961,f5(f5(f28(x1962),x1963),x1961),f40(x1962,a1))
% 2.59/2.77 [218]E(f5(f5(f20(f40(x2181,a1)),x2182),f7(x2183,x2182,f40(x2181,a1))),f6(f40(x2181,a1)))
% 2.59/2.77 [220]E(f32(x2201,f6(f40(x2202,a1)),x2202,x2203),f6(f40(x2203,a1)))
% 2.59/2.77 [239]E(f5(f5(f28(x2391),x2392),f7(x2393,f5(f5(f28(x2391),x2392),f6(f40(x2391,a1))),f40(x2391,a1))),f5(f5(f28(x2391),x2392),x2393))
% 2.59/2.77 [297]~E(f5(f5(f28(x2971),x2972),x2973),f6(f40(x2971,a1)))
% 2.59/2.77 [199]E(f5(f5(f28(x1991),x1992),f5(f5(f28(x1991),x1992),x1993)),f5(f5(f28(x1991),x1992),x1993))
% 2.59/2.77 [205]P23(f5(f5(f5(f28(x2051),x2052),x2053),x2052))
% 2.59/2.77 [210]E(f5(f5(f20(f40(x2101,a1)),x2102),x2103),f5(f5(f20(f40(x2101,a1)),x2103),x2102))
% 2.59/2.77 [211]E(f5(f5(f25(f40(x2111,a1)),x2112),x2113),f5(f5(f25(f40(x2111,a1)),x2113),x2112))
% 2.59/2.77 [217]P23(f33(x2171,f5(f5(f28(x2172),x2171),x2173),x2172))
% 2.59/2.77 [222]P6(x2221,f5(f5(f25(f40(x2222,a1)),x2223),x2221),f40(x2222,a1))
% 2.59/2.77 [223]P6(x2231,f5(f5(f25(f40(x2232,a1)),x2231),x2233),f40(x2232,a1))
% 2.59/2.77 [224]P6(f5(f5(f20(f40(x2241,a1)),x2242),x2243),x2243,f40(x2241,a1))
% 2.59/2.77 [225]P6(f5(f5(f20(f40(x2251,a1)),x2252),x2253),x2252,f40(x2251,a1))
% 2.59/2.77 [227]E(f5(f5(f25(f40(x2271,a1)),x2272),f7(x2273,x2272,f40(x2271,a1))),f5(f5(f25(f40(x2271,a1)),x2272),x2273))
% 2.59/2.77 [235]E(f5(f5(f25(f40(x2351,a1)),f7(x2352,x2353,f40(x2351,a1))),x2353),f5(f5(f25(f40(x2351,a1)),x2352),x2353))
% 2.59/2.77 [271]P8(x2711,f5(f5(f28(f36(x2712)),f21(x2713,a11,x2713,x2712)),f6(f40(f36(x2712),a1))),x2712)
% 2.59/2.77 [302]~P23(f5(f9(x3021,f6(f40(x3022,a1)),x3022),x3023))
% 2.59/2.77 [231]E(f34(f9(x2311,f5(f5(f28(x2312),x2313),f6(f40(x2312,a1))),x2312),x2312),x2313)
% 2.59/2.77 [232]E(f5(f5(f20(f40(x2321,a1)),x2322),f5(f5(f20(f40(x2321,a1)),x2322),x2323)),f5(f5(f20(f40(x2321,a1)),x2322),x2323))
% 2.59/2.77 [233]E(f5(f5(f25(f40(x2331,a1)),x2332),f5(f5(f25(f40(x2331,a1)),x2332),x2333)),f5(f5(f25(f40(x2331,a1)),x2332),x2333))
% 2.59/2.77 [236]E(f5(f5(f25(f40(x2361,a1)),f5(f5(f28(x2361),x2362),f6(f40(x2361,a1)))),x2363),f5(f5(f28(x2361),x2362),x2363))
% 2.59/2.77 [242]E(f5(f5(f25(f40(x2421,a1)),f7(x2422,x2423,f40(x2421,a1))),f5(f5(f20(f40(x2421,a1)),x2422),x2423)),x2422)
% 2.59/2.77 [257]P23(f5(f9(x2571,f5(f5(f28(x2572),x2573),f6(f40(x2572,a1))),x2572),x2573))
% 2.59/2.77 [289]~E(f14(x2891,x2892),f13(x2893,x2894))
% 2.59/2.77 [188]E(f5(f8(x1881,x1882,x1883),x1884),x1881)
% 2.59/2.77 [237]E(f7(f7(x2371,x2372,f40(x2373,a1)),f5(f5(f28(x2373),x2374),f6(f40(x2373,a1))),f40(x2373,a1)),f7(x2371,f5(f5(f28(x2373),x2374),x2372),f40(x2373,a1)))
% 2.59/2.77 [241]E(f7(x2411,f10(f6(f40(x2412,a1)),x2413,x2412,f40(x2414,a1)),f40(x2414,a1)),x2411)
% 2.59/2.77 [246]E(f7(f7(x2461,f5(f5(f28(x2462),x2463),f6(f40(x2462,a1))),f40(x2462,a1)),x2464,f40(x2462,a1)),f7(x2461,f5(f5(f28(x2462),x2463),x2464),f40(x2462,a1)))
% 2.59/2.77 [256]E(f7(f5(f5(f20(f40(x2561,a1)),x2562),x2563),f5(f5(f20(f40(x2561,a1)),x2564),x2563),f40(x2561,a1)),f7(f5(f5(f20(f40(x2561,a1)),x2562),x2563),x2564,f40(x2561,a1)))
% 2.59/2.77 [238]E(f7(f5(f5(f20(f40(x2381,a1)),x2382),x2383),x2384,f40(x2381,a1)),f5(f5(f20(f40(x2381,a1)),x2382),f7(x2383,x2384,f40(x2381,a1))))
% 2.59/2.77 [243]E(f5(f5(f25(f40(x2431,a1)),x2432),f10(f6(f40(x2433,a1)),x2434,x2433,f40(x2431,a1))),x2432)
% 2.59/2.77 [245]E(f5(f5(f28(x2451),x2452),f10(f6(f40(x2453,a1)),x2454,x2453,f40(x2451,a1))),f5(f5(f28(x2451),x2452),f6(f40(x2451,a1))))
% 2.59/2.77 [251]E(f7(f5(f5(f20(f40(x2511,a1)),x2512),x2513),f5(f5(f20(f40(x2511,a1)),x2512),x2514),f40(x2511,a1)),f5(f5(f20(f40(x2511,a1)),x2512),f7(x2513,x2514,f40(x2511,a1))))
% 2.59/2.77 [253]E(f5(f5(f25(f40(x2531,a1)),f7(x2532,x2533,f40(x2531,a1))),f7(x2532,x2534,f40(x2531,a1))),f7(x2532,f5(f5(f20(f40(x2531,a1)),x2533),x2534),f40(x2531,a1)))
% 2.59/2.77 [254]E(f5(f5(f20(f40(x2541,a1)),f7(x2542,x2543,f40(x2541,a1))),f7(x2542,x2544,f40(x2541,a1))),f7(x2542,f5(f5(f25(f40(x2541,a1)),x2543),x2544),f40(x2541,a1)))
% 2.59/2.77 [255]E(f5(f5(f25(f40(x2551,a1)),f7(x2552,x2553,f40(x2551,a1))),f7(x2554,x2553,f40(x2551,a1))),f7(f5(f5(f25(f40(x2551,a1)),x2552),x2554),x2553,f40(x2551,a1)))
% 2.59/2.77 [277]E(f5(f17(f8(x2771,x2772,x2773),x2774,x2773,x2772,a2),a44),x2771)
% 2.59/2.77 [214]E(f5(f5(f28(x2141),x2142),f5(f5(f28(x2141),x2143),x2144)),f5(f5(f28(x2141),x2143),f5(f5(f28(x2141),x2142),x2144)))
% 2.59/2.77 [258]E(f7(f5(f5(f20(f40(x2581,a1)),x2582),x2583),f5(f5(f20(f40(x2581,a1)),x2584),x2583),f40(x2581,a1)),f5(f5(f20(f40(x2581,a1)),f7(x2582,x2584,f40(x2581,a1))),x2583))
% 2.59/2.77 [265]E(f5(f5(f25(f40(x2651,a1)),f10(f6(f40(x2652,a1)),x2653,x2652,f40(x2651,a1))),x2654),x2654)
% 2.59/2.77 [234]E(f5(f5(f25(f40(x2341,a1)),x2342),f5(f5(f28(x2341),x2343),x2344)),f5(f5(f28(x2341),x2343),f5(f5(f25(f40(x2341,a1)),x2342),x2344)))
% 2.59/2.77 [240]E(f5(f5(f25(f40(x2401,a1)),f5(f5(f28(x2401),x2402),x2403)),x2404),f5(f5(f28(x2401),x2402),f5(f5(f25(f40(x2401,a1)),x2403),x2404)))
% 2.59/2.77 [244]E(f5(f5(f20(f40(x2441,a1)),f5(f5(f28(x2441),x2442),x2443)),f5(f5(f28(x2441),x2442),x2444)),f5(f5(f28(x2441),x2442),f5(f5(f20(f40(x2441,a1)),x2443),x2444)))
% 2.59/2.77 [249]E(f5(f5(f20(f40(x2491,a1)),x2492),f5(f5(f20(f40(x2491,a1)),x2493),x2494)),f5(f5(f20(f40(x2491,a1)),x2493),f5(f5(f20(f40(x2491,a1)),x2492),x2494)))
% 2.59/2.77 [250]E(f5(f5(f25(f40(x2501,a1)),x2502),f5(f5(f25(f40(x2501,a1)),x2503),x2504)),f5(f5(f25(f40(x2501,a1)),x2503),f5(f5(f25(f40(x2501,a1)),x2502),x2504)))
% 2.59/2.77 [263]E(f5(f5(f25(f40(x2631,a1)),f5(f5(f20(f40(x2631,a1)),x2632),x2633)),f5(f5(f20(f40(x2631,a1)),x2632),x2634)),f5(f5(f20(f40(x2631,a1)),x2632),f5(f5(f25(f40(x2631,a1)),x2633),x2634)))
% 2.59/2.77 [264]E(f5(f5(f20(f40(x2641,a1)),f5(f5(f25(f40(x2641,a1)),x2642),x2643)),f5(f5(f25(f40(x2641,a1)),x2642),x2644)),f5(f5(f25(f40(x2641,a1)),x2642),f5(f5(f20(f40(x2641,a1)),x2643),x2644)))
% 2.59/2.77 [283]E(f5(f5(f25(f40(x2831,a1)),f5(f5(f25(f40(x2831,a1)),f5(f5(f20(f40(x2831,a1)),x2832),x2833)),f5(f5(f20(f40(x2831,a1)),x2833),x2834))),f5(f5(f20(f40(x2831,a1)),x2834),x2832)),f5(f5(f20(f40(x2831,a1)),f5(f5(f20(f40(x2831,a1)),f5(f5(f25(f40(x2831,a1)),x2832),x2833)),f5(f5(f25(f40(x2831,a1)),x2833),x2834))),f5(f5(f25(f40(x2831,a1)),x2834),x2832)))
% 2.59/2.77 [260]E(f5(f5(f20(f40(x2601,a1)),f5(f5(f20(f40(x2601,a1)),x2602),x2603)),x2604),f5(f5(f20(f40(x2601,a1)),x2602),f5(f5(f20(f40(x2601,a1)),x2603),x2604)))
% 2.59/2.77 [261]E(f5(f5(f25(f40(x2611,a1)),f5(f5(f25(f40(x2611,a1)),x2612),x2613)),x2614),f5(f5(f25(f40(x2611,a1)),x2612),f5(f5(f25(f40(x2611,a1)),x2613),x2614)))
% 2.59/2.77 [266]E(f5(f5(f25(f40(x2661,a1)),f5(f5(f20(f40(x2661,a1)),x2662),x2663)),f5(f5(f20(f40(x2661,a1)),x2664),x2663)),f5(f5(f20(f40(x2661,a1)),f5(f5(f25(f40(x2661,a1)),x2662),x2664)),x2663))
% 2.59/2.77 [267]E(f5(f5(f20(f40(x2671,a1)),f5(f5(f25(f40(x2671,a1)),x2672),x2673)),f5(f5(f25(f40(x2671,a1)),x2674),x2673)),f5(f5(f25(f40(x2671,a1)),f5(f5(f20(f40(x2671,a1)),x2672),x2674)),x2673))
% 2.59/2.77 [292]~E(f13(x2921,x2922),f12(x2923,x2924,x2925))
% 2.59/2.77 [293]~E(f14(x2931,x2932),f12(x2933,x2934,x2935))
% 2.59/2.77 [294]~E(f12(x2941,x2942,x2943),f13(x2944,x2945))
% 2.59/2.77 [295]~E(f12(x2951,x2952,x2953),f14(x2954,x2955))
% 2.59/2.77 [259]E(f10(f5(f5(f28(x2591),x2592),x2593),x2594,x2591,f40(x2595,a1)),f5(f5(f25(f40(x2595,a1)),f5(x2594,x2592)),f10(x2593,x2594,x2591,f40(x2595,a1))))
% 2.59/2.77 [270]E(f5(f5(f25(f40(x2701,a1)),f10(x2702,x2703,x2704,f40(x2701,a1))),f10(x2705,x2703,x2704,f40(x2701,a1))),f10(f5(f5(f25(f40(x2704,a1)),x2702),x2705),x2703,x2704,f40(x2701,a1)))
% 2.59/2.77 [278]P6(f7(f32(x2781,x2782,x2783,x2784),f32(x2781,x2785,x2783,x2784),f40(x2784,a1)),f32(x2781,f7(x2782,x2785,f40(x2783,a1)),x2783,x2784),f40(x2784,a1))
% 2.59/2.77 [252]E(f32(x2521,f5(f5(f28(x2522),x2523),x2524),x2522,x2525),f5(f5(f28(x2525),f5(x2521,x2523)),f32(x2521,x2524,x2522,x2525)))
% 2.59/2.77 [268]E(f5(f5(f25(f40(x2681,a1)),f32(x2682,x2683,x2684,x2681)),f32(x2682,x2685,x2684,x2681)),f32(x2682,f5(f5(f25(f40(x2684,a1)),x2683),x2685),x2684,x2681))
% 2.59/2.77 [281]P6(f32(x2811,f5(f5(f20(f40(x2812,a1)),x2813),x2814),x2812,x2815),f5(f5(f20(f40(x2815,a1)),f32(x2811,x2813,x2812,x2815)),f32(x2811,x2814,x2812,x2815)),f40(x2815,a1))
% 2.59/2.77 [275]E(f5(f17(x2751,x2752,x2753,x2754,x2755),x2756),f5(x2751,f5(x2752,x2756)))
% 2.59/2.77 [276]E(f5(f4(x2761,x2762,x2763,x2764,x2765),x2766),f5(x2761,f5(x2762,x2766)))
% 2.59/2.77 [279]E(f32(x2791,f32(x2792,x2793,x2794,x2795),x2795,x2796),f32(f4(x2791,x2792,x2795,x2796,x2794),x2793,x2794,x2796))
% 2.59/2.77 [280]E(f32(f17(x2801,x2802,x2803,x2804,x2805),x2806,x2805,x2804),f32(x2801,f32(x2802,x2806,x2805,x2803),x2803,x2804))
% 2.59/2.77 [247]E(f23(x2471,f21(x2472,x2473,x2474,x2475),x2475,x2476),f5(f5(f5(x2471,x2472),x2473),x2474))
% 2.59/2.77 [248]E(f24(x2481,f21(x2482,x2483,x2484,x2485),x2485,x2486),f5(f5(f5(x2481,x2482),x2483),x2484))
% 2.59/2.77 [282]E(f17(x2821,f17(x2822,x2823,x2824,x2825,x2826),x2825,x2827,x2826),f17(f17(x2821,x2822,x2825,x2827,x2824),x2823,x2824,x2827,x2826))
% 2.59/2.77 [328]~P16(x3281)+P7(f20(x3281),x3281,x3281)
% 2.59/2.77 [329]~P15(x3291)+P7(f25(x3291),x3291,x3291)
% 2.59/2.77 [332]~P18(x3321)+E(f5(f6(f40(a2,x3321)),a44),f6(x3321))
% 2.59/2.77 [334]~P3(x3341)+E(f15(f6(f40(x3341,a1)),x3341),f6(x3341))
% 2.59/2.77 [304]~P12(x3042)+P4(x3041,x3042)
% 2.59/2.77 [324]~P17(x3242)+P6(x3241,x3241,x3242)
% 2.59/2.77 [325]~P22(x3252)+P6(x3251,x3251,x3252)
% 2.59/2.77 [305]~P1(x3052)+P1(f40(x3051,x3052))
% 2.59/2.77 [306]~P2(x3062)+P2(f40(x3061,x3062))
% 2.59/2.77 [307]~P1(x3072)+P15(f40(x3071,x3072))
% 2.59/2.77 [308]~P1(x3082)+P16(f40(x3081,x3082))
% 2.59/2.77 [309]~P3(x3092)+P3(f40(x3091,x3092))
% 2.59/2.77 [310]~P17(x3102)+P17(f40(x3101,x3102))
% 2.59/2.77 [311]~P11(x3112)+P11(f40(x3111,x3112))
% 2.59/2.77 [312]~P13(x3122)+P13(f40(x3121,x3122))
% 2.59/2.77 [313]~P14(x3132)+P14(f40(x3131,x3132))
% 2.59/2.77 [314]~P18(x3142)+P18(f40(x3141,x3142))
% 2.59/2.77 [315]~P22(x3152)+P22(f40(x3151,x3152))
% 2.59/2.77 [327]~P18(x3271)+P6(f6(x3271),x3272,x3271)
% 2.59/2.77 [326]~P14(x3261)+E(f5(f5(f25(x3261),x3262),f6(x3261)),x3262)
% 2.59/2.77 [330]~P14(x3301)+E(f5(f5(f20(x3301),x3302),f6(x3301)),f6(x3301))
% 2.59/2.77 [377]~P23(f5(f5(a39,x3771),x3772))+P23(f5(f5(a43,x3771),x3772))
% 2.59/2.77 [404]~P6(x4041,f6(f40(x4042,a1)),f40(x4042,a1))+E(x4041,f6(f40(x4042,a1)))
% 2.59/2.77 [322]~P16(x3221)+E(f5(f5(f20(x3221),x3222),x3222),x3222)
% 2.59/2.77 [323]~P15(x3231)+E(f5(f5(f25(x3231),x3232),x3232),x3232)
% 2.59/2.77 [331]~P14(x3311)+E(f5(f5(f25(x3311),f6(x3311)),x3312),x3312)
% 2.59/2.77 [333]~P14(x3331)+E(f5(f5(f20(x3331),f6(x3331)),x3332),f6(x3331))
% 2.59/2.77 [367]~P17(x3672)+E(f31(x3671,x3671,x3672),f5(f5(f28(x3672),x3671),f6(f40(x3672,a1))))
% 2.59/2.77 [498]~P17(x4981)+E(f7(f5(f5(f28(x4981),x4982),f6(f40(x4981,a1))),f30(x4982,x4981),f40(x4981,a1)),f5(f5(f28(x4981),x4982),f6(f40(x4981,a1))))
% 2.59/2.77 [400]~P21(x4001)+E(f18(f5(f5(f28(x4001),x4002),f6(f40(x4001,a1))),x4001),x4002)
% 2.59/2.77 [401]~P3(x4011)+E(f16(f5(f5(f28(x4011),x4012),f6(f40(x4011,a1))),x4011),x4012)
% 2.59/2.77 [402]~P3(x4021)+E(f15(f5(f5(f28(x4021),x4022),f6(f40(x4021,a1))),x4021),x4022)
% 2.59/2.77 [403]~P21(x4031)+E(f19(f5(f5(f28(x4031),x4032),f6(f40(x4031,a1))),x4031),x4032)
% 2.59/2.77 [354]~P23(f5(x3542,x3541))+P23(f33(x3541,x3542,x3543))
% 2.59/2.77 [385]P23(f5(x3851,x3852))+~P23(f33(x3852,x3851,x3853))
% 2.59/2.77 [335]~P23(f5(x3351,x3353))+~E(x3351,f6(f40(x3352,a1)))
% 2.59/2.77 [336]~P23(f5(x3362,x3363))+~E(f6(f40(x3361,a1)),x3362)
% 2.59/2.77 [376]~P4(x3761,x3763)+P4(f7(x3761,x3762,f40(x3763,a1)),x3763)
% 2.59/2.77 [378]P8(x3781,x3782,x3783)+~P6(x3782,x3781,f40(f36(x3783),a1))
% 2.59/2.77 [464]~P17(x4641)+E(f5(f5(f20(f40(x4641,a1)),f30(x4642,x4641)),f31(x4642,x4643,x4641)),f6(f40(x4641,a1)))
% 2.59/2.77 [515]P23(f33(x5152,x5153,x5151))+E(f7(f5(f5(f28(x5151),x5152),x5153),f5(f5(f28(x5151),x5152),f6(f40(x5151,a1))),f40(x5151,a1)),x5153)
% 2.59/2.77 [339]~P1(x3391)+E(f5(f5(f20(x3391),x3392),x3393),f5(f5(f20(x3391),x3393),x3392))
% 2.59/2.77 [340]~P16(x3401)+E(f5(f5(f20(x3401),x3402),x3403),f5(f5(f20(x3401),x3403),x3402))
% 2.59/2.77 [341]~P1(x3411)+E(f5(f5(f25(x3411),x3412),x3413),f5(f5(f25(x3411),x3413),x3412))
% 2.59/2.77 [342]~P15(x3421)+E(f5(f5(f25(x3421),x3422),x3423),f5(f5(f25(x3421),x3423),x3422))
% 2.59/2.77 [344]~P4(x3443,x3441)+P4(f5(f5(f28(x3441),x3442),x3443),x3441)
% 2.59/2.77 [359]~P1(x3592)+P6(x3591,f5(f5(f25(x3592),x3593),x3591),x3592)
% 2.59/2.77 [360]~P15(x3602)+P6(x3601,f5(f5(f25(x3602),x3603),x3601),x3602)
% 2.59/2.77 [361]~P1(x3612)+P6(x3611,f5(f5(f25(x3612),x3611),x3613),x3612)
% 2.59/2.77 [362]~P15(x3622)+P6(x3621,f5(f5(f25(x3622),x3621),x3623),x3622)
% 2.59/2.77 [363]~P1(x3631)+P6(f5(f5(f20(x3631),x3632),x3633),x3633,x3631)
% 2.59/2.77 [364]~P16(x3641)+P6(f5(f5(f20(x3641),x3642),x3643),x3643,x3641)
% 2.59/2.77 [365]~P1(x3651)+P6(f5(f5(f20(x3651),x3652),x3653),x3652,x3651)
% 2.59/2.77 [366]~P16(x3661)+P6(f5(f5(f20(x3661),x3662),x3663),x3662,x3661)
% 2.59/2.77 [379]P4(x3791,x3792)+~P4(f5(f5(f28(x3792),x3793),x3791),x3792)
% 2.59/2.77 [399]~P23(f33(x3992,x3993,x3991))+E(f5(f5(f28(x3991),x3992),x3993),x3993)
% 2.59/2.77 [432]~P11(x4323)+E(f7(f5(x4321,a44),f5(x4322,a44),x4323),f5(f7(x4321,x4322,f40(a2,x4323)),a44))
% 2.59/2.77 [463]E(x4631,x4632)+~E(f5(f5(f28(x4633),x4631),f6(f40(x4633,a1))),f5(f5(f28(x4633),x4632),f6(f40(x4633,a1))))
% 2.59/2.77 [497]~P6(x4972,x4973,f40(x4971,a1))+E(f5(f5(f25(f40(x4971,a1)),x4972),f7(x4973,x4972,f40(x4971,a1))),x4973)
% 2.59/2.77 [566]~P23(f33(x5662,x5663,x5661))+E(f5(f5(f28(x5661),x5662),f7(x5663,f5(f5(f28(x5661),x5662),f6(f40(x5661,a1))),f40(x5661,a1))),x5663)
% 2.59/2.77 [357]~P1(x3571)+E(f5(f5(f20(x3571),x3572),f5(f5(f25(x3571),x3572),x3573)),x3572)
% 2.59/2.77 [358]~P1(x3581)+E(f5(f5(f25(x3581),x3582),f5(f5(f20(x3581),x3582),x3583)),x3582)
% 2.59/2.77 [382]~P3(x3821)+E(f16(f5(f5(f28(x3821),x3822),x3823),x3821),f5(f5(f20(x3821),x3822),f16(x3823,x3821)))
% 2.59/2.77 [383]~P3(x3831)+E(f15(f5(f5(f28(x3831),x3832),x3833),x3831),f5(f5(f25(x3831),x3832),f15(x3833,x3831)))
% 2.59/2.77 [387]~P1(x3871)+E(f5(f5(f20(x3871),x3872),f5(f5(f20(x3871),x3872),x3873)),f5(f5(f20(x3871),x3872),x3873))
% 2.59/2.77 [388]~P16(x3881)+E(f5(f5(f20(x3881),x3882),f5(f5(f20(x3881),x3882),x3883)),f5(f5(f20(x3881),x3882),x3883))
% 2.59/2.77 [389]~P1(x3891)+E(f5(f5(f25(x3891),x3892),f5(f5(f25(x3891),x3892),x3893)),f5(f5(f25(x3891),x3892),x3893))
% 2.59/2.77 [390]~P15(x3901)+E(f5(f5(f25(x3901),x3902),f5(f5(f25(x3901),x3902),x3903)),f5(f5(f25(x3901),x3902),x3903))
% 2.59/2.77 [428]~P6(x4283,x4282,f40(x4281,a1))+E(f5(f5(f20(f40(x4281,a1)),x4282),x4283),x4283)
% 2.59/2.77 [429]~P6(x4292,x4293,f40(x4291,a1))+E(f5(f5(f20(f40(x4291,a1)),x4292),x4293),x4292)
% 2.59/2.77 [430]~P6(x4302,x4303,f40(x4301,a1))+E(f5(f5(f25(f40(x4301,a1)),x4302),x4303),x4303)
% 2.59/2.77 [431]~P6(x4313,x4312,f40(x4311,a1))+E(f5(f5(f25(f40(x4311,a1)),x4312),x4313),x4312)
% 2.59/2.77 [439]E(x4391,f6(f40(x4392,a1)))+~E(f5(f5(f25(f40(x4392,a1)),x4393),x4391),f6(f40(x4392,a1)))
% 2.59/2.77 [440]E(x4401,f6(f40(x4402,a1)))+~E(f5(f5(f25(f40(x4402,a1)),x4401),x4403),f6(f40(x4402,a1)))
% 2.59/2.77 [445]P6(x4451,x4452,f40(x4453,a1))+~E(f5(f5(f25(f40(x4453,a1)),x4451),x4452),x4452)
% 2.59/2.77 [461]~P4(x4613,x4611)+P4(f5(f5(f20(f40(x4611,a1)),x4612),x4613),x4611)
% 2.59/2.77 [462]~P4(x4622,x4621)+P4(f5(f5(f20(f40(x4621,a1)),x4622),x4623),x4621)
% 2.59/2.77 [477]E(f7(x4771,x4772,f40(x4773,a1)),x4771)+~E(f5(f5(f20(f40(x4773,a1)),x4771),x4772),f6(f40(x4773,a1)))
% 2.59/2.77 [509]P4(x5091,x5092)+~P4(f5(f5(f25(f40(x5092,a1)),x5093),x5091),x5092)
% 2.59/2.77 [510]P4(x5101,x5102)+~P4(f5(f5(f25(f40(x5102,a1)),x5101),x5103),x5102)
% 2.59/2.77 [548]E(x5481,x5482)+~P23(f5(f5(f5(f28(x5483),x5481),f6(f40(x5483,a1))),x5482))
% 2.59/2.77 [574]E(x5741,x5742)+~P23(f33(x5741,f5(f5(f28(x5743),x5742),f6(f40(x5743,a1))),x5743))
% 2.59/2.77 [583]E(x5831,f26(f5(f5(f28(x5832),x5833),f6(f40(x5832,a1))),x5832))+~P23(f5(f5(f5(f28(x5832),x5833),f6(f40(x5832,a1))),x5831))
% 2.59/2.77 [499]~P1(x4991)+E(f5(f5(f5(f20(f40(a2,x4991)),x4992),x4993),a44),f5(f5(f20(x4991),f5(x4992,a44)),f5(x4993,a44)))
% 2.59/2.77 [500]~P1(x5001)+E(f5(f5(f5(f25(f40(a2,x5001)),x5002),x5003),a44),f5(f5(f25(x5001),f5(x5002,a44)),f5(x5003,a44)))
% 2.59/2.77 [522]~P3(x5221)+E(f16(f5(f5(f28(x5221),x5222),f5(f5(f28(x5221),x5223),f6(f40(x5221,a1)))),x5221),f5(f5(f20(x5221),x5222),x5223))
% 2.59/2.77 [523]~P3(x5231)+E(f15(f5(f5(f28(x5231),x5232),f5(f5(f28(x5231),x5233),f6(f40(x5231,a1)))),x5231),f5(f5(f25(x5231),x5232),x5233))
% 2.59/2.77 [317]E(x3171,x3172)+~E(f13(x3173,x3171),f13(x3174,x3172))
% 2.59/2.77 [318]E(x3181,x3182)+~E(f14(x3183,x3181),f14(x3184,x3182))
% 2.59/2.77 [319]E(x3191,x3192)+~E(f13(x3191,x3193),f13(x3192,x3194))
% 2.59/2.77 [320]E(x3201,x3202)+~E(f14(x3201,x3203),f14(x3202,x3204))
% 2.59/2.77 [520]~P4(x5202,x5203)+P4(f32(x5201,x5202,x5203,x5204),x5204)
% 2.59/2.77 [392]~P10(x3921,x3922,x3923)+~P23(f5(f5(x3922,x3924),x3924))
% 2.59/2.77 [501]~P23(f33(x5012,x5014,x5011))+E(f7(f5(f5(f28(x5011),x5012),x5013),x5014,f40(x5011,a1)),f7(x5013,x5014,f40(x5011,a1)))
% 2.59/2.77 [503]~E(f32(x5033,x5031,x5032,x5034),f6(f40(x5034,a1)))+E(x5031,f6(f40(x5032,a1)))
% 2.59/2.77 [538]~P4(f7(x5381,x5384,f40(x5382,a1)),x5382)+P4(f7(x5381,f5(f5(f28(x5382),x5383),x5384),f40(x5382,a1)),x5382)
% 2.59/2.77 [552]~P4(f7(x5521,f5(f5(f28(x5523),x5524),x5522),f40(x5523,a1)),x5523)+P4(f7(x5521,x5522,f40(x5523,a1)),x5523)
% 2.59/2.77 [615]~P7(x6151,x6154,x6153)+E(f17(f5(x6151,x6152),f5(x6151,x6152),x6153,x6153,x6153),f5(x6151,x6152))
% 2.59/2.77 [444]~P6(x4441,x4444,f40(x4442,a1))+P6(x4441,f5(f5(f28(x4442),x4443),x4444),f40(x4442,a1))
% 2.59/2.77 [479]P6(x4791,x4792,f40(x4793,a1))+~P6(f5(f5(f28(x4793),x4794),x4791),x4792,f40(x4793,a1))
% 2.59/2.77 [484]P23(f33(x4841,x4842,x4843))+~P6(f5(f5(f28(x4843),x4841),x4844),x4842,f40(x4843,a1))
% 2.59/2.77 [486]~P6(x4863,x4864,f40(x4861,a1))+P6(f5(f5(f28(x4861),x4862),x4863),f5(f5(f28(x4861),x4862),x4864),f40(x4861,a1))
% 2.59/2.77 [511]E(x5111,f6(f40(x5112,a1)))+E(f32(f8(x5113,x5114,x5112),x5111,x5112,x5114),f5(f5(f28(x5114),x5113),f6(f40(x5114,a1))))
% 2.59/2.77 [514]P23(f33(x5142,x5144,x5141))+E(f7(f5(f5(f28(x5141),x5142),x5143),x5144,f40(x5141,a1)),f5(f5(f28(x5141),x5142),f7(x5143,x5144,f40(x5141,a1))))
% 2.59/2.77 [556]P23(f33(x5561,x5562,x5563))+~P23(f33(x5561,f7(x5562,x5564,f40(x5563,a1)),x5563))
% 2.59/2.77 [575]~P23(f33(x5751,x5752,x5753))+~P23(f33(x5751,f7(x5754,x5752,f40(x5753,a1)),x5753))
% 2.59/2.77 [434]~P23(f5(x4343,x4344))+P23(f5(f5(f5(f28(x4341),x4342),x4343),x4344))
% 2.59/2.77 [454]~P1(x4541)+E(f5(f5(f20(x4541),x4542),f5(f5(f20(x4541),x4543),x4544)),f5(f5(f20(x4541),x4543),f5(f5(f20(x4541),x4542),x4544)))
% 2.59/2.77 [455]~P16(x4551)+E(f5(f5(f20(x4551),x4552),f5(f5(f20(x4551),x4553),x4554)),f5(f5(f20(x4551),x4553),f5(f5(f20(x4551),x4552),x4554)))
% 2.59/2.77 [456]~P1(x4561)+E(f5(f5(f25(x4561),x4562),f5(f5(f25(x4561),x4563),x4564)),f5(f5(f25(x4561),x4563),f5(f5(f25(x4561),x4562),x4564)))
% 2.59/2.77 [457]~P15(x4571)+E(f5(f5(f25(x4571),x4572),f5(f5(f25(x4571),x4573),x4574)),f5(f5(f25(x4571),x4573),f5(f5(f25(x4571),x4572),x4574)))
% 2.59/2.77 [513]~P23(f33(x5131,x5134,x5132))+P23(f33(x5131,f5(f5(f28(x5132),x5133),x5134),x5132))
% 2.59/2.77 [516]P23(f33(x5163,x5162,x5161))+E(f5(f5(f20(f40(x5161,a1)),x5162),f5(f5(f28(x5161),x5163),x5164)),f5(f5(f20(f40(x5161,a1)),x5162),x5164))
% 2.59/2.77 [517]~P2(x5171)+E(f5(f5(f25(x5171),f5(f5(f20(x5171),x5172),x5173)),f5(f5(f20(x5171),x5172),x5174)),f5(f5(f20(x5171),x5172),f5(f5(f25(x5171),x5173),x5174)))
% 2.59/2.77 [518]~P2(x5181)+E(f5(f5(f20(x5181),f5(f5(f25(x5181),x5182),x5183)),f5(f5(f25(x5181),x5182),x5184)),f5(f5(f25(x5181),x5182),f5(f5(f20(x5181),x5183),x5184)))
% 2.59/2.77 [539]P6(x5391,x5392,f40(x5393,a1))+~P6(x5391,f5(f5(f20(f40(x5393,a1)),x5394),x5392),f40(x5393,a1))
% 2.59/2.77 [540]P6(x5401,x5402,f40(x5403,a1))+~P6(x5401,f5(f5(f20(f40(x5403,a1)),x5402),x5404),f40(x5403,a1))
% 2.59/2.77 [541]P6(x5411,x5412,f40(x5413,a1))+~P6(f5(f5(f25(f40(x5413,a1)),x5414),x5411),x5412,f40(x5413,a1))
% 2.59/2.77 [542]P6(x5421,x5422,f40(x5423,a1))+~P6(f5(f5(f25(f40(x5423,a1)),x5421),x5424),x5422,f40(x5423,a1))
% 2.59/2.77 [551]~P6(f7(x5511,x5513,f40(x5512,a1)),x5514,f40(x5512,a1))+P6(x5511,f5(f5(f25(f40(x5512,a1)),x5513),x5514),f40(x5512,a1))
% 2.59/2.77 [568]P6(f7(x5681,x5682,f40(x5683,a1)),x5684,f40(x5683,a1))+~P6(x5681,f5(f5(f25(f40(x5683,a1)),x5682),x5684),f40(x5683,a1))
% 2.59/2.77 [591]~P1(x5911)+P6(f5(f5(f25(x5911),x5912),f5(f5(f20(x5911),x5913),x5914)),f5(f5(f20(x5911),f5(f5(f25(x5911),x5912),x5913)),f5(f5(f25(x5911),x5912),x5914)),x5911)
% 2.59/2.77 [592]~P1(x5921)+P6(f5(f5(f25(x5921),f5(f5(f20(x5921),x5922),x5923)),f5(f5(f20(x5921),x5922),x5924)),f5(f5(f20(x5921),x5922),f5(f5(f25(x5921),x5923),x5924)),x5921)
% 2.59/2.77 [636]P8(x6362,f5(f5(f28(f36(a2)),f21(x6361,x6364,x6363,a2)),f6(f40(f36(a2),a1))),a2)+P23(f5(f5(x6361,f47(x6362,x6361,x6363,x6364)),f54(x6362,x6361,x6363,x6364)))
% 2.59/2.77 [637]P8(x6372,f5(f5(f28(f36(a2)),f21(x6371,x6374,x6373,a2)),f6(f40(f36(a2),a1))),a2)+P23(f5(f5(x6371,f48(x6372,x6371,x6373,x6374)),f52(x6372,x6371,x6373,x6374)))
% 2.59/2.77 [493]~P1(x4931)+E(f5(f5(f20(x4931),f5(f5(f20(x4931),x4932),x4933)),x4934),f5(f5(f20(x4931),x4932),f5(f5(f20(x4931),x4933),x4934)))
% 2.59/2.77 [494]~P16(x4941)+E(f5(f5(f20(x4941),f5(f5(f20(x4941),x4942),x4943)),x4944),f5(f5(f20(x4941),x4942),f5(f5(f20(x4941),x4943),x4944)))
% 2.59/2.77 [495]~P1(x4951)+E(f5(f5(f25(x4951),f5(f5(f25(x4951),x4952),x4953)),x4954),f5(f5(f25(x4951),x4952),f5(f5(f25(x4951),x4953),x4954)))
% 2.59/2.77 [496]~P15(x4961)+E(f5(f5(f25(x4961),f5(f5(f25(x4961),x4962),x4963)),x4964),f5(f5(f25(x4961),x4962),f5(f5(f25(x4961),x4963),x4964)))
% 2.59/2.77 [524]P23(f33(x5242,x5244,x5241))+E(f5(f5(f20(f40(x5241,a1)),f5(f5(f28(x5241),x5242),x5243)),x5244),f5(f5(f20(f40(x5241,a1)),x5243),x5244))
% 2.59/2.77 [534]~P2(x5341)+E(f5(f5(f25(x5341),f5(f5(f20(x5341),x5342),x5343)),f5(f5(f20(x5341),x5344),x5343)),f5(f5(f20(x5341),f5(f5(f25(x5341),x5342),x5344)),x5343))
% 2.59/2.77 [535]~P2(x5351)+E(f5(f5(f20(x5351),f5(f5(f25(x5351),x5352),x5353)),f5(f5(f25(x5351),x5354),x5353)),f5(f5(f25(x5351),f5(f5(f20(x5351),x5352),x5354)),x5353))
% 2.59/2.77 [543]~P23(f5(x5433,x5434))+P23(f5(f5(f5(f25(f40(x5431,a1)),x5432),x5433),x5434))
% 2.59/2.77 [544]~P23(f5(x5442,x5444))+P23(f5(f5(f5(f25(f40(x5441,a1)),x5442),x5443),x5444))
% 2.59/2.77 [554]~P23(f33(x5543,x5542,x5541))+E(f5(f5(f20(f40(x5541,a1)),x5542),f5(f5(f28(x5541),x5543),x5544)),f5(f5(f28(x5541),x5543),f5(f5(f20(f40(x5541,a1)),x5542),x5544)))
% 2.59/2.77 [577]~P23(f33(x5771,x5774,x5772))+P23(f33(x5771,f5(f5(f25(f40(x5772,a1)),x5773),x5774),x5772))
% 2.59/2.77 [578]~P23(f33(x5781,x5783,x5782))+P23(f33(x5781,f5(f5(f25(f40(x5782,a1)),x5783),x5784),x5782))
% 2.59/2.77 [579]~P23(f33(x5792,x5794,x5791))+E(f5(f5(f20(f40(x5791,a1)),f5(f5(f28(x5791),x5792),x5793)),x5794),f5(f5(f28(x5791),x5792),f5(f5(f20(f40(x5791,a1)),x5793),x5794)))
% 2.59/2.77 [585]P23(f5(x5851,x5852))+~P23(f5(f5(f5(f20(f40(x5853,a1)),x5854),x5851),x5852))
% 2.59/2.77 [586]P23(f5(x5861,x5862))+~P23(f5(f5(f5(f20(f40(x5863,a1)),x5861),x5864),x5862))
% 2.59/2.77 [596]P23(f5(x5961,x5962))+~P23(f33(x5962,f5(f5(f20(f40(x5963,a1)),x5964),x5961),x5963))
% 2.59/2.77 [600]P23(f33(x6001,x6002,x6003))+~P23(f33(x6001,f5(f5(f20(f40(x6003,a1)),x6004),x6002),x6003))
% 2.59/2.77 [602]P23(f33(x6021,x6022,x6023))+~P23(f33(x6021,f5(f5(f20(f40(x6023,a1)),x6022),x6024),x6023))
% 2.59/2.77 [624]E(x6241,x6242)+~P23(f5(f9(x6243,f5(f5(f28(x6244),x6241),f6(f40(x6244,a1))),x6244),x6242))
% 2.59/2.77 [608]~P6(x6084,x6082,f40(x6081,a1))+E(f5(f5(f25(f40(x6081,a1)),f5(f5(f20(f40(x6081,a1)),x6082),x6083)),x6084),f5(f5(f20(f40(x6081,a1)),x6082),f5(f5(f25(f40(x6081,a1)),x6083),x6084)))
% 2.59/2.77 [625]P6(x6251,x6252,f40(x6253,a1))+~E(f5(f5(f25(f40(x6253,a1)),f5(f5(f20(f40(x6253,a1)),x6252),x6254)),x6251),f5(f5(f20(f40(x6253,a1)),x6252),f5(f5(f25(f40(x6253,a1)),x6254),x6251)))
% 2.59/2.77 [604]~P6(x6042,x6045,f40(x6043,a1))+P6(f32(x6041,x6042,x6043,x6044),f32(x6041,x6045,x6043,x6044),f40(x6044,a1))
% 2.59/2.77 [565]~P9(x5651,x5652,x5654,x5655)+P9(x5651,f7(x5652,x5653,f40(x5654,a1)),x5654,x5655)
% 2.59/2.77 [573]P6(f5(x5731,x5732),f10(x5733,x5731,x5734,f40(x5735,a1)),f40(x5735,a1))+~P23(f33(x5732,x5733,x5734))
% 2.59/2.77 [588]~P23(f33(x5883,x5884,x5885))+E(f5(f5(f28(x5881),f5(x5882,x5883)),f32(x5882,x5884,x5885,x5881)),f32(x5882,x5884,x5885,x5881))
% 2.59/2.77 [614]~P23(f33(x6142,x6143,x6144))+P23(f33(f5(x6141,x6142),f32(x6141,x6143,x6144,x6145),x6145))
% 2.59/2.77 [409]~P7(x4091,x4094,x4095)+E(f5(f5(x4091,x4092),f5(f5(x4091,x4092),x4093)),f5(f5(x4091,x4092),x4093))
% 2.59/2.77 [537]~P23(f33(x5375,x5374,x5373))+E(f32(f8(x5371,x5372,x5373),x5374,x5373,x5372),f5(f5(f28(x5372),x5371),f6(f40(x5372,a1))))
% 2.59/2.77 [567]P9(x5671,x5672,x5673,x5674)+~P9(x5671,f5(f5(f28(x5673),x5675),x5672),x5673,x5674)
% 2.59/2.77 [599]~P23(f33(x5993,x5994,x5995))+E(f5(f5(f25(f40(x5991,a1)),f5(x5992,x5993)),f10(x5994,x5992,x5995,f40(x5991,a1))),f10(x5994,x5992,x5995,f40(x5991,a1)))
% 2.59/2.77 [593]P9(x5931,x5932,x5933,x5934)+~P9(x5931,f5(f5(f25(f40(x5933,a1)),x5935),x5932),x5933,x5934)
% 2.59/2.77 [594]P9(x5941,x5942,x5943,x5944)+~P9(x5941,f5(f5(f25(f40(x5943,a1)),x5942),x5945),x5943,x5944)
% 2.59/2.77 [628]~P9(x6282,f5(f5(f25(f40(x6285,a1)),x6283),x6284),x6285,x6281)+E(f5(f5(f20(f40(x6281,a1)),f32(x6282,f7(x6283,x6284,f40(x6285,a1)),x6285,x6281)),f32(x6282,f7(x6284,x6283,f40(x6285,a1)),x6285,x6281)),f6(f40(x6281,a1)))
% 2.59/2.77 [635]~P23(f5(x6351,f23(x6352,f21(x6353,x6354,x6355,a35),a35,a2)))+P23(f5(x6351,f5(f5(f5(x6352,x6353),x6354),x6355)))
% 2.59/2.77 [639]~P9(x6391,f5(f5(f28(x6392),x6393),x6394),x6392,x6395)+~P23(f33(f5(x6391,x6393),f32(x6391,f7(x6394,f5(f5(f28(x6392),x6393),f6(f40(x6392,a1))),f40(x6392,a1)),x6392,x6395),x6395))
% 2.59/2.77 [648]~P8(x6481,f5(f5(f28(f36(x6482)),f21(f22(x6483,x6484,x6482),x6485,x6483,x6482)),f6(f40(f36(x6482),a1))),x6482)+P8(x6481,f5(f5(f28(f36(x6482)),f21(x6483,f13(x6484,x6485),f22(x6483,f17(a27,x6484,a1,a1,a38),x6482),x6482)),f6(f40(f36(x6482),a1))),x6482)
% 2.59/2.77 [368]E(x3681,x3682)+~E(f12(x3683,x3684,x3681),f12(x3685,x3686,x3682))
% 2.59/2.77 [369]E(x3691,x3692)+~E(f12(x3693,x3691,x3694),f12(x3695,x3692,x3696))
% 2.59/2.77 [370]E(x3701,x3702)+~E(f12(x3701,x3703,x3704),f12(x3702,x3705,x3706))
% 2.59/2.77 [632]~P9(f17(x6321,x6322,x6325,x6326,x6324),x6323,x6324,x6326)+P9(x6321,f32(x6322,x6323,x6324,x6325),x6325,x6326)
% 2.59/2.77 [557]E(x5571,x5572)+~E(f21(x5573,x5574,x5571,x5575),f21(x5576,x5577,x5572,x5575))
% 2.59/2.77 [558]E(x5581,x5582)+~E(f21(x5583,x5581,x5584,x5585),f21(x5586,x5582,x5587,x5585))
% 2.59/2.77 [559]E(x5591,x5592)+~E(f21(x5591,x5593,x5594,x5595),f21(x5592,x5596,x5597,x5595))
% 2.59/2.77 [629]~E(f17(x6291,x6292,x6296,x6297,x6298),f17(x6294,x6295,x6299,x6297,x6298))+E(f5(x6291,f5(x6292,x6293)),f5(x6294,f5(x6295,x6293)))
% 2.59/2.77 [650]~P5(x6504,x6501,x6505,x6506,x6507,x6508,x6503,x6509,x6502)+E(f5(x6501,f6(f40(x6502,a1))),x6503)
% 2.59/2.77 [651]~P5(x6511,x6514,x6515,x6516,x6517,x6518,x6519,x6513,x6512)+E(f5(x6511,f6(f40(x6512,a1))),x6513)
% 2.59/2.77 [654]~P5(x6544,x6541,x6545,x6546,x6547,x6548,x6549,x65410,x6542)+E(f5(x6541,f5(f5(f28(x6542),x6543),f6(f40(x6542,a1)))),x6543)
% 2.59/2.77 [655]~P5(x6551,x6554,x6555,x6556,x6557,x6558,x6559,x65510,x6552)+E(f5(x6551,f5(f5(f28(x6552),x6553),f6(f40(x6552,a1)))),x6553)
% 2.59/2.77 [633]~E(f5(x6331,f5(x6332,x6336)),f5(x6337,f5(x6338,x63311)))+E(f5(f17(x6331,x6332,x6333,x6334,x6335),x6336),f5(f17(x6337,x6338,x6339,x6334,x63310),x63311))
% 2.59/2.77 [652]~P5(x6526,x6521,x6527,x6528,x6529,x6525,x65210,x65211,x6522)+E(f5(x6521,f5(f5(f28(x6522),x6523),x6524)),f5(f5(x6525,x6523),f5(x6521,x6524)))
% 2.59/2.77 [653]~P5(x6531,x6536,x6537,x6538,x6535,x6539,x65310,x65311,x6532)+E(f5(x6531,f5(f5(f28(x6532),x6533),x6534)),f5(f5(x6535,x6533),f5(x6531,x6534)))
% 2.59/2.77 [658]~P5(x6586,x6581,x6587,x6588,x6589,x6585,x65810,x65811,x6582)+E(f5(x6581,f5(f5(f28(x6582),x6583),f5(f5(f28(x6582),x6584),f6(f40(x6582,a1))))),f5(f5(x6585,x6583),x6584))
% 2.59/2.77 [659]~P5(x6591,x6596,x6597,x6598,x6595,x6599,x65910,x65911,x6592)+E(f5(x6591,f5(f5(f28(x6592),x6593),f5(f5(f28(x6592),x6594),f6(f40(x6592,a1))))),f5(f5(x6595,x6593),x6594))
% 2.59/2.77 [316]~P12(x3162)+~P12(x3161)+P12(f40(x3161,x3162))
% 2.59/2.77 [343]P6(x3432,x3431,x3433)+~P21(x3433)+P6(x3431,x3432,x3433)
% 2.59/2.77 [321]~P21(x3213)+E(x3211,x3212)+~E(f30(x3211,x3213),f30(x3212,x3213))
% 2.59/2.77 [356]P4(x3561,x3562)+~P4(x3563,x3562)+~P6(x3561,x3563,f40(x3562,a1))
% 2.59/2.77 [397]~P21(x3972)+~P6(x3971,x3973,x3972)+P6(f30(x3971,x3972),f30(x3973,x3972),f40(x3972,a1))
% 2.59/2.77 [411]E(x4111,x4112)+~P6(x4111,x4112,f40(x4113,a1))+~P6(x4112,x4111,f40(x4113,a1))
% 2.59/2.77 [425]~P3(x4253)+P6(x4251,f15(x4252,x4253),x4253)+~P23(f33(x4251,x4252,x4253))
% 2.59/2.77 [426]~P3(x4262)+P6(f16(x4261,x4262),x4263,x4262)+~P23(f33(x4263,x4261,x4262))
% 2.59/2.77 [427]~P21(x4273)+P6(x4271,x4272,x4273)+~P6(f30(x4271,x4273),f30(x4272,x4273),f40(x4273,a1))
% 2.59/2.77 [598]~P4(x5982,x5983)+P9(x5981,x5982,x5983,x5983)+~P6(x5982,f32(x5981,x5982,x5983,x5983),f40(x5983,a1))
% 2.59/2.77 [345]P6(x3451,x3452,x3453)+~P17(x3453)+E(f31(x3451,x3452,x3453),f6(f40(x3453,a1)))
% 2.59/2.77 [346]P6(x3462,x3463,x3461)+~P17(x3461)+E(f6(f40(x3461,a1)),f31(x3462,x3463,x3461))
% 2.59/2.77 [395]~P17(x3953)+~P6(x3951,x3952,x3953)+~E(f31(x3951,x3952,x3953),f6(f40(x3953,a1)))
% 2.59/2.77 [396]~P17(x3961)+~P6(x3962,x3963,x3961)+~E(f6(f40(x3961,a1)),f31(x3962,x3963,x3961))
% 2.59/2.77 [441]P4(x4411,x4412)+~P4(x4413,x4412)+~P4(f7(x4411,x4413,f40(x4412,a1)),x4412)
% 2.59/2.77 [337]~P14(x3372)+E(x3371,f6(x3372))+~E(f5(f5(f25(x3372),x3373),x3371),f6(x3372))
% 2.59/2.77 [338]~P14(x3382)+E(x3381,f6(x3382))+~E(f5(f5(f25(x3382),x3381),x3383),f6(x3382))
% 2.59/2.77 [347]~P16(x3473)+P6(x3471,x3472,x3473)+~E(f5(f5(f20(x3473),x3471),x3472),x3471)
% 2.59/2.77 [348]~P15(x3483)+P6(x3481,x3482,x3483)+~E(f5(f5(f25(x3483),x3481),x3482),x3482)
% 2.59/2.77 [349]~P16(x3491)+~P6(x3493,x3492,x3491)+E(f5(f5(f20(x3491),x3492),x3493),x3493)
% 2.59/2.77 [350]~P16(x3501)+~P6(x3502,x3503,x3501)+E(f5(f5(f20(x3501),x3502),x3503),x3502)
% 2.59/2.77 [351]~P15(x3511)+~P6(x3512,x3513,x3511)+E(f5(f5(f25(x3511),x3512),x3513),x3513)
% 2.59/2.77 [352]~P15(x3521)+~P6(x3523,x3522,x3521)+E(f5(f5(f25(x3521),x3522),x3523),x3522)
% 2.59/2.77 [521]~P6(x5211,f5(f5(f28(x5212),x5213),f6(f40(x5212,a1))),f40(x5212,a1))+E(x5211,f6(f40(x5212,a1)))+E(x5211,f5(f5(f28(x5212),x5213),f6(f40(x5212,a1))))
% 2.59/2.77 [476]~P4(x4763,x4761)+~P4(x4762,x4761)+P4(f5(f5(f25(f40(x4761,a1)),x4762),x4763),x4761)
% 2.59/2.77 [398]~P8(x3981,x3984,x3983)+P8(x3981,x3982,x3983)+~P8(x3984,x3982,x3983)
% 2.59/2.77 [371]~P19(x3714)+E(x3711,x3712)+~E(f7(x3713,x3713,x3714),f7(x3711,x3712,x3714))
% 2.59/2.77 [372]~P19(x3723)+E(x3721,x3722)+~E(f7(x3721,x3722,x3723),f7(x3724,x3724,x3723))
% 2.59/2.77 [381]~P6(x3813,x3811,f40(x3814,a1))+P23(f5(x3811,x3812))+~P23(f5(x3813,x3812))
% 2.59/2.77 [460]~P6(x4601,x4604,f40(x4603,a1))+~P6(x4604,x4602,f40(x4603,a1))+P6(x4601,x4602,f40(x4603,a1))
% 2.59/2.77 [490]~P6(x4904,x4902,f40(x4903,a1))+P23(f33(x4901,x4902,x4903))+~P23(f33(x4901,x4904,x4903))
% 2.59/2.77 [605]P4(x6051,x6052)+~P9(x6053,x6051,x6052,x6054)+~P4(f32(x6053,x6051,x6052,x6054),x6054)
% 2.59/2.77 [433]P8(x4331,x4332,x4333)+~P8(x4331,x4334,x4333)+~P6(x4332,x4334,f40(f36(x4333),a1))
% 2.59/2.77 [483]~P3(x4834)+E(f10(x4831,f8(x4833,x4834,x4832),x4832,x4834),x4833)+E(x4831,f6(f40(x4832,a1)))
% 2.59/2.77 [507]~P6(x5071,x5072,f40(x5074,a1))+~P6(x5073,x5071,f40(x5074,a1))+E(f7(x5071,f7(x5072,x5073,f40(x5074,a1)),f40(x5074,a1)),x5073)
% 2.59/2.77 [412]~P15(x4122)+~P6(x4121,x4124,x4122)+P6(x4121,f5(f5(f25(x4122),x4123),x4124),x4122)
% 2.59/2.77 [413]~P15(x4132)+~P6(x4131,x4133,x4132)+P6(x4131,f5(f5(f25(x4132),x4133),x4134),x4132)
% 2.59/2.77 [414]~P16(x4141)+~P6(x4143,x4144,x4141)+P6(f5(f5(f20(x4141),x4142),x4143),x4144,x4141)
% 2.59/2.77 [415]~P16(x4151)+~P6(x4152,x4154,x4151)+P6(f5(f5(f20(x4151),x4152),x4153),x4154,x4151)
% 2.59/2.77 [447]~P16(x4473)+P6(x4471,x4472,x4473)+~P6(x4471,f5(f5(f20(x4473),x4474),x4472),x4473)
% 2.59/2.77 [449]~P16(x4493)+P6(x4491,x4492,x4493)+~P6(x4491,f5(f5(f20(x4493),x4492),x4494),x4493)
% 2.59/2.77 [451]~P15(x4513)+P6(x4511,x4512,x4513)+~P6(f5(f5(f25(x4513),x4514),x4511),x4512,x4513)
% 2.59/2.77 [453]~P15(x4533)+P6(x4531,x4532,x4533)+~P6(f5(f5(f25(x4533),x4531),x4534),x4532,x4533)
% 2.59/2.77 [506]P6(x5062,x5064,f40(x5063,a1))+P23(f33(x5061,x5062,x5063))+~P6(x5062,f5(f5(f28(x5063),x5061),x5064),f40(x5063,a1))
% 2.59/2.77 [508]~P6(x5083,x5084,f40(x5081,a1))+~P23(f33(x5082,x5084,x5081))+P6(f5(f5(f28(x5081),x5082),x5083),x5084,f40(x5081,a1))
% 2.59/2.77 [550]~P23(f33(x5501,x5504,x5503))+P23(f33(x5501,x5502,x5503))+P23(f33(x5501,f7(x5504,x5502,f40(x5503,a1)),x5503))
% 2.59/2.77 [595]P6(f7(x5951,f5(f5(f28(x5952),x5953),f6(f40(x5952,a1))),f40(x5952,a1)),x5954,f40(x5952,a1))+~P23(f33(x5953,x5951,x5952))+~P6(x5951,f5(f5(f28(x5952),x5953),x5954),f40(x5952,a1))
% 2.59/2.77 [617]~P6(f7(x6171,f5(f5(f28(x6172),x6173),f6(f40(x6172,a1))),f40(x6172,a1)),x6174,f40(x6172,a1))+~P23(f33(x6173,x6171,x6172))+P6(x6171,f5(f5(f28(x6172),x6173),x6174),f40(x6172,a1))
% 2.59/2.77 [485]E(x4851,x4852)+P23(f5(x4853,x4851))+~P23(f5(f5(f5(f28(x4854),x4852),x4853),x4851))
% 2.59/2.77 [528]~P6(x5281,x5283,f40(x5282,a1))+~P6(x5281,x5284,f40(x5282,a1))+P6(x5281,f5(f5(f20(f40(x5282,a1)),x5283),x5284),f40(x5282,a1))
% 2.59/2.77 [530]~P6(x5302,x5304,f40(x5301,a1))+~P6(x5303,x5304,f40(x5301,a1))+P6(f5(f5(f25(f40(x5301,a1)),x5302),x5303),x5304,f40(x5301,a1))
% 2.59/2.77 [531]E(x5311,x5312)+P23(f33(x5311,x5313,x5314))+~P23(f33(x5311,f5(f5(f28(x5314),x5312),x5313),x5314))
% 2.59/2.77 [532]~P23(f33(x5324,x5323,x5321))+~P23(f33(x5324,x5322,x5321))+~E(f5(f5(f20(f40(x5321,a1)),x5322),x5323),f6(f40(x5321,a1)))
% 2.59/2.77 [576]~P8(x5761,x5764,x5762)+P8(x5761,f5(f5(f28(f36(x5762)),x5763),x5764),x5762)+~P8(x5761,f5(f5(f28(f36(x5762)),x5763),f6(f40(f36(x5762),a1))),x5762)
% 2.59/2.77 [547]~P23(f5(x5473,x5474))+~P23(f5(x5472,x5474))+P23(f5(f5(f5(f20(f40(x5471,a1)),x5472),x5473),x5474))
% 2.59/2.77 [582]~P23(f5(x5824,x5821))+~P23(f33(x5821,x5823,x5822))+P23(f33(x5821,f5(f5(f20(f40(x5822,a1)),x5823),x5824),x5822))
% 2.59/2.77 [587]P23(f5(x5871,x5872))+P23(f5(x5873,x5872))+~P23(f5(f5(f5(f25(f40(x5874,a1)),x5871),x5873),x5872))
% 2.59/2.77 [590]~P23(f33(x5901,x5904,x5902))+~P23(f33(x5901,x5903,x5902))+P23(f33(x5901,f5(f5(f20(f40(x5902,a1)),x5903),x5904),x5902))
% 2.59/2.77 [609]P23(f33(x6091,x6092,x6093))+P23(f33(x6091,x6094,x6093))+~P23(f33(x6091,f5(f5(f25(f40(x6093,a1)),x6092),x6094),x6093))
% 2.59/2.77 [408]~P13(x4084)+P6(f5(x4081,x4082),f5(x4083,x4082),x4084)+~P6(x4081,x4083,f40(x4085,x4084))
% 2.59/2.77 [478]~P17(x4783)+P6(x4781,x4782,x4783)+P6(f31(x4781,x4782,x4783),f31(x4784,x4785,x4783),f40(x4783,a1))
% 2.59/2.77 [553]~P3(x5535)+P6(f5(x5531,x5532),f10(x5533,x5531,x5534,x5535),x5535)+~P23(f33(x5532,x5533,x5534))
% 2.59/2.77 [555]P9(x5551,x5552,x5553,x5554)+~P9(x5551,x5555,x5553,x5554)+~P6(x5552,x5555,f40(x5553,a1))
% 2.59/2.77 [584]P4(x5841,x5842)+~P4(x5843,x5844)+~P6(x5841,f32(x5845,x5843,x5844,x5842),f40(x5842,a1))
% 2.59/2.77 [418]~P10(x4184,x4181,x4185)+P23(f5(f5(x4181,x4182),x4183))+P23(f5(f5(x4184,x4183),x4182))
% 2.59/2.77 [420]~P10(x4201,x4204,x4205)+P23(f5(f5(x4201,x4203),x4202))+P23(f5(f5(x4201,x4202),x4203))
% 2.59/2.77 [472]~P10(x4721,x4722,x4723)+~P23(f5(f5(x4722,x4725),x4724))+~P23(f5(f5(x4722,x4724),x4725))
% 2.59/2.77 [473]~P10(x4731,x4732,x4733)+~P23(f5(f5(x4731,x4735),x4734))+~P23(f5(f5(x4732,x4734),x4735))
% 2.59/2.77 [536]~P6(x5361,x5364,f40(x5363,a1))+~P6(x5365,x5362,f40(x5363,a1))+P6(f7(x5361,x5362,f40(x5363,a1)),f7(x5364,x5365,f40(x5363,a1)),f40(x5363,a1))
% 2.59/2.77 [546]~P23(f33(x5462,x5464,x5465))+E(f5(x5461,x5462),f6(f40(x5463,a1)))+~E(f10(x5464,x5461,x5465,f40(x5463,a1)),f6(f40(x5463,a1)))
% 2.59/2.77 [569]E(x5691,x5692)+E(x5691,x5693)+~E(f5(f5(f28(x5694),x5695),f5(f5(f28(x5694),x5691),f6(f40(x5694,a1)))),f5(f5(f28(x5694),x5693),f5(f5(f28(x5694),x5692),f6(f40(x5694,a1)))))
% 2.59/2.77 [570]E(x5701,x5702)+E(x5703,x5702)+~E(f5(f5(f28(x5704),x5703),f5(f5(f28(x5704),x5701),f6(f40(x5704,a1)))),f5(f5(f28(x5704),x5705),f5(f5(f28(x5704),x5702),f6(f40(x5704,a1)))))
% 2.59/2.77 [571]E(x5711,x5712)+E(x5713,x5712)+~E(f5(f5(f28(x5714),x5713),f5(f5(f28(x5714),x5711),f6(f40(x5714,a1)))),f5(f5(f28(x5714),x5712),f5(f5(f28(x5714),x5715),f6(f40(x5714,a1)))))
% 2.59/2.77 [572]E(x5721,x5722)+E(x5721,x5723)+~E(f5(f5(f28(x5724),x5721),f5(f5(f28(x5724),x5725),f6(f40(x5724,a1)))),f5(f5(f28(x5724),x5723),f5(f5(f28(x5724),x5722),f6(f40(x5724,a1)))))
% 2.59/2.77 [580]~P6(x5802,x5804,f40(x5801,a1))+~P6(x5803,x5805,f40(x5801,a1))+P6(f5(f5(f20(f40(x5801,a1)),x5802),x5803),f5(f5(f20(f40(x5801,a1)),x5804),x5805),f40(x5801,a1))
% 2.59/2.77 [581]~P6(x5812,x5814,f40(x5811,a1))+~P6(x5813,x5815,f40(x5811,a1))+P6(f5(f5(f25(f40(x5811,a1)),x5812),x5813),f5(f5(f25(f40(x5811,a1)),x5814),x5815),f40(x5811,a1))
% 2.59/2.77 [621]E(x6211,x6212)+~E(f32(x6213,x6211,x6214,x6215),f32(x6213,x6212,x6214,x6215))+~P9(x6213,f5(f5(f25(f40(x6214,a1)),x6211),x6212),x6214,x6215)
% 2.59/2.77 [630]~P9(x6301,x6304,x6302,x6305)+P9(x6301,f5(f5(f28(x6302),x6303),x6304),x6302,x6305)+P23(f33(f5(x6301,x6303),f32(x6301,f7(x6304,f5(f5(f28(x6302),x6303),f6(f40(x6302,a1))),f40(x6302,a1)),x6302,x6305),x6305))
% 2.59/2.77 [631]~P9(x6312,x6316,x6315,x6313)+~P9(x6311,f32(x6312,x6316,x6315,x6313),x6313,x6314)+P9(f17(x6311,x6312,x6313,x6314,x6315),x6316,x6315,x6314)
% 2.59/2.77 [606]~P6(f32(x6061,x6065,x6066,x6064),x6063,f40(x6064,a1))+~P23(f33(x6062,x6065,x6066))+P23(f33(f5(x6061,x6062),x6063,x6064))
% 2.59/2.77 [607]P6(f5(x6071,x6072),x6073,f40(x6074,a1))+~P6(f10(x6075,x6071,x6076,f40(x6074,a1)),x6073,f40(x6074,a1))+~P23(f33(x6072,x6075,x6076))
% 2.59/2.77 [619]~P23(f33(x6196,x6191,x6193))+~P23(f5(f5(x6192,x6196),x6195))+P23(f5(f10(x6191,x6192,x6193,f40(x6194,a1)),x6195))
% 2.59/2.77 [623]~P23(f33(x6236,x6232,x6234))+~P23(f33(x6231,f5(x6233,x6236),x6235))+P23(f33(x6231,f10(x6232,x6233,x6234,f40(x6235,a1)),x6235))
% 2.59/2.77 [641]~P8(x6415,f5(f5(f28(f36(a2)),f21(x6412,x6416,x6414,a2)),f6(f40(f36(a2),a1))),a2)+P8(x6415,f5(f5(f28(f36(a2)),f21(x6411,x6416,x6413,a2)),f6(f40(f36(a2),a1))),a2)+P23(f5(f5(x6411,f51(x6411,x6412,x6413,x6414)),f50(x6411,x6412,x6413,x6414)))
% 2.59/2.77 [643]~P8(x6431,f5(f5(f28(f36(a2)),f21(x6435,x6433,x6436,a2)),f6(f40(f36(a2),a1))),a2)+P8(x6431,f5(f5(f28(f36(a2)),f21(x6432,x6433,x6434,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6434,f51(x6432,x6435,x6434,x6436)),f49(x6432,x6435,x6434,x6436)))
% 2.59/2.77 [646]~P8(x6461,f5(f5(f28(f36(a2)),f21(x6465,x6463,x6466,a2)),f6(f40(f36(a2),a1))),a2)+P8(x6461,f5(f5(f28(f36(a2)),f21(x6462,x6463,x6464,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6464,f47(x6461,x6462,x6464,x6463)),f55(x6461,x6462,x6464,x6463,x6465,x6466)))
% 2.59/2.77 [647]~P8(x6471,f5(f5(f28(f36(a2)),f21(x6475,x6473,x6476,a2)),f6(f40(f36(a2),a1))),a2)+P8(x6471,f5(f5(f28(f36(a2)),f21(x6472,x6473,x6474,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6474,f48(x6471,x6472,x6474,x6473)),f53(x6471,x6472,x6474,x6473,x6475,x6476)))
% 2.59/2.77 [642]~P8(x6421,f5(f5(f28(f36(x6422)),f21(x6423,x6424,x6427,x6422)),f6(f40(f36(x6422),a1))),x6422)+P8(x6421,f5(f5(f28(f36(x6422)),f21(x6423,f14(x6424,x6425),x6426,x6422)),f6(f40(f36(x6422),a1))),x6422)+~P8(x6421,f5(f5(f28(f36(x6422)),f21(x6427,x6425,x6426,x6422)),f6(f40(f36(x6422),a1))),x6422)
% 2.59/2.77 [649]~P8(x6491,f5(f5(f28(f36(x6492)),f21(f22(x6493,x6494,x6492),x6495,x6497,x6492)),f6(f40(f36(x6492),a1))),x6492)+P8(x6491,f5(f5(f28(f36(x6492)),f21(x6493,f12(x6494,x6495,x6496),x6497,x6492)),f6(f40(f36(x6492),a1))),x6492)+~P8(x6491,f5(f5(f28(f36(x6492)),f21(f22(x6493,f17(a27,x6494,a1,a1,a38),x6492),x6496,x6497,x6492)),f6(f40(f36(x6492),a1))),x6492)
% 2.59/2.77 [656]~P5(x6566,x6563,x6561,x6567,x6568,x6569,x65610,x65611,x6565)+~P23(f33(x6562,x6564,x6565))+P23(f5(f5(x6561,x6562),f5(x6563,x6564)))
% 2.59/2.77 [657]~P5(x6572,x6576,x6571,x6577,x6578,x6579,x65710,x65711,x6575)+~P23(f33(x6574,x6573,x6575))+P23(f5(f5(x6571,f5(x6572,x6573)),x6574))
% 2.59/2.77 [393]~P21(x3932)+~P4(x3931,x3932)+E(x3931,f6(f40(x3932,a1)))+P23(f33(f18(x3931,x3932),x3931,x3932))
% 2.59/2.77 [394]~P21(x3942)+~P4(x3941,x3942)+E(x3941,f6(f40(x3942,a1)))+P23(f33(f19(x3941,x3942),x3941,x3942))
% 2.59/2.77 [375]~P6(x3752,x3751,x3753)+~P6(x3751,x3752,x3753)+E(x3751,x3752)+~P17(x3753)
% 2.59/2.77 [435]~P21(x4353)+~P4(x4352,x4353)+P6(x4351,f18(x4352,x4353),x4353)+~P23(f33(x4351,x4352,x4353))
% 2.59/2.77 [436]~P21(x4362)+~P4(x4361,x4362)+P6(f19(x4361,x4362),x4363,x4362)+~P23(f33(x4363,x4361,x4362))
% 2.59/2.77 [620]~P4(x6202,x6203)+~P9(x6201,x6202,x6203,x6203)+~P6(f32(x6201,x6202,x6203,x6203),x6202,f40(x6203,a1))+E(f32(x6201,x6202,x6203,x6203),x6202)
% 2.59/2.77 [519]~P16(x5191)+~P4(x5192,x5191)+~P23(f33(x5193,x5192,x5191))+P6(f34(f9(f20(x5191),x5192,x5191),x5191),x5193,x5191)
% 2.59/2.77 [405]~P17(x4053)+~P6(x4051,x4054,x4053)+P6(x4051,x4052,x4053)+~P6(x4054,x4052,x4053)
% 2.59/2.77 [406]~P22(x4063)+~P6(x4061,x4064,x4063)+P6(x4061,x4062,x4063)+~P6(x4064,x4062,x4063)
% 2.59/2.77 [467]~P16(x4672)+~P6(x4671,x4674,x4672)+~P6(x4671,x4673,x4672)+P6(x4671,f5(f5(f20(x4672),x4673),x4674),x4672)
% 2.59/2.77 [470]~P15(x4701)+~P6(x4703,x4704,x4701)+~P6(x4702,x4704,x4701)+P6(f5(f5(f25(x4701),x4702),x4703),x4704,x4701)
% 2.59/2.77 [482]E(x4821,x4822)+P23(f33(x4823,x4821,x4824))+P23(f33(x4823,x4822,x4824))+~E(f5(f5(f28(x4824),x4823),x4821),f5(f5(f28(x4824),x4823),x4822))
% 2.59/2.77 [458]~P20(x4583)+~P6(x4585,x4584,x4583)+P6(x4581,x4582,x4583)+~E(f7(x4584,x4585,x4583),f7(x4582,x4581,x4583))
% 2.59/2.77 [459]~P20(x4593)+~P6(x4595,x4594,x4593)+P6(x4591,x4592,x4593)+~E(f7(x4592,x4591,x4593),f7(x4594,x4595,x4593))
% 2.59/2.77 [504]~P17(x5043)+~P6(x5044,x5041,x5043)+~P6(x5042,x5045,x5043)+P6(f31(x5041,x5042,x5043),f31(x5044,x5045,x5043),f40(x5043,a1))
% 2.59/2.77 [525]~P17(x5253)+P6(x5251,x5252,x5253)+~P6(x5254,x5251,x5253)+~P6(f31(x5254,x5251,x5253),f31(x5255,x5252,x5253),f40(x5253,a1))
% 2.59/2.77 [526]~P17(x5263)+P6(x5261,x5262,x5263)+~P6(x5262,x5264,x5263)+~P6(f31(x5262,x5264,x5263),f31(x5261,x5265,x5263),f40(x5263,a1))
% 2.59/2.77 [424]E(x4241,x4242)+~P10(x4244,x4243,x4245)+P23(f5(f5(x4243,x4241),x4242))+P23(f5(f5(x4243,x4242),x4241))
% 2.59/2.77 [443]E(x4431,x4432)+~P10(x4434,x4433,x4435)+~P23(f5(f5(x4434,x4431),x4432))+P23(f5(f5(x4433,x4431),x4432))
% 2.59/2.77 [597]~P4(x5974,x5975)+P4(f5(x5971,x5972),x5973)+~P23(f33(x5972,x5974,x5975))+~P4(f10(x5974,x5971,x5975,f40(x5973,a1)),x5973)
% 2.59/2.77 [638]~P9(x6381,x6384,x6382,x6385)+~P9(x6381,x6383,x6382,x6385)+P9(x6381,f5(f5(f25(f40(x6382,a1)),x6383),x6384),x6382,x6385)+~E(f5(f5(f20(f40(x6385,a1)),f32(x6381,f7(x6383,x6384,f40(x6382,a1)),x6382,x6385)),f32(x6381,f7(x6384,x6383,f40(x6382,a1)),x6382,x6385)),f6(f40(x6385,a1)))
% 2.59/2.77 [626]~P9(x6261,x6266,x6263,x6264)+~P6(x6262,x6266,f40(x6263,a1))+~P6(x6265,x6266,f40(x6263,a1))+E(f7(f32(x6261,x6262,x6263,x6264),f32(x6261,x6265,x6263,x6264),f40(x6264,a1)),f32(x6261,f7(x6262,x6265,f40(x6263,a1)),x6263,x6264))
% 2.59/2.77 [627]~P9(x6272,x6276,x6274,x6271)+~P6(x6273,x6276,f40(x6274,a1))+~P6(x6275,x6276,f40(x6274,a1))+E(f5(f5(f20(f40(x6271,a1)),f32(x6272,x6273,x6274,x6271)),f32(x6272,x6275,x6274,x6271)),f32(x6272,f5(f5(f20(f40(x6274,a1)),x6273),x6275),x6274,x6271))
% 2.59/2.77 [640]~P8(x6406,f5(f5(f28(f36(a2)),f21(x6404,x6407,x6401,a2)),f6(f40(f36(a2),a1))),a2)+P8(x6406,f5(f5(f28(f36(a2)),f21(x6403,x6407,x6405,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6404,x6402),f50(x6403,x6404,x6405,x6401)))+P23(f5(f5(x6401,x6402),f49(x6403,x6404,x6405,x6401)))
% 2.59/2.77 [644]P8(x6443,f5(f5(f28(f36(a2)),f21(x6444,x6446,x6445,a2)),f6(f40(f36(a2),a1))),a2)+~P8(x6443,f5(f5(f28(f36(a2)),f21(x6447,x6446,x6441,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6447,x6442),f52(x6443,x6444,x6445,x6446)))+P23(f5(f5(x6441,x6442),f53(x6443,x6444,x6445,x6446,x6447,x6441)))
% 2.59/2.77 [645]P8(x6453,f5(f5(f28(f36(a2)),f21(x6454,x6456,x6455,a2)),f6(f40(f36(a2),a1))),a2)+~P8(x6453,f5(f5(f28(f36(a2)),f21(x6457,x6456,x6451,a2)),f6(f40(f36(a2),a1))),a2)+~P23(f5(f5(x6457,x6452),f54(x6453,x6454,x6455,x6456)))+P23(f5(f5(x6451,x6452),f55(x6453,x6454,x6455,x6456,x6457,x6451)))
% 2.59/2.77 [437]~P21(x4372)+~P4(x4373,x4372)+P6(f19(x4373,x4372),f19(x4371,x4372),x4372)+~P6(x4371,x4373,f40(x4372,a1))+E(x4371,f6(f40(x4372,a1)))
% 2.59/2.77 [438]~P21(x4382)+~P4(x4383,x4382)+P6(f18(x4381,x4382),f18(x4383,x4382),x4382)+~P6(x4381,x4383,f40(x4382,a1))+E(x4381,f6(f40(x4382,a1)))
% 2.59/2.77 [563]E(x5631,x5632)+~P9(x5633,x5634,x5635,x5636)+~E(f5(x5633,x5631),f5(x5633,x5632))+~P23(f33(x5632,x5634,x5635))+~P23(f33(x5631,x5634,x5635))
% 2.59/2.77 [564]~P16(x5642)+~P4(x5641,x5642)+P6(x5643,x5644,x5642)+~P23(f33(x5644,x5641,x5642))+~P6(x5643,f34(f9(f20(x5642),x5641,x5642),x5642),x5642)+E(x5641,f6(f40(x5642,a1)))
% 2.59/2.77 %EqnAxiom
% 2.59/2.77 [1]E(x11,x11)
% 2.59/2.77 [2]E(x22,x21)+~E(x21,x22)
% 2.59/2.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.59/2.77 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 2.59/2.77 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 2.59/2.77 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 2.59/2.77 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 2.59/2.77 [8]~E(x81,x82)+E(f40(x81,x83),f40(x82,x83))
% 2.59/2.77 [9]~E(x91,x92)+E(f40(x93,x91),f40(x93,x92))
% 2.59/2.77 [10]~E(x101,x102)+E(f20(x101),f20(x102))
% 2.59/2.77 [11]~E(x111,x112)+E(f33(x111,x113,x114),f33(x112,x113,x114))
% 2.59/2.77 [12]~E(x121,x122)+E(f33(x123,x121,x124),f33(x123,x122,x124))
% 2.59/2.77 [13]~E(x131,x132)+E(f33(x133,x134,x131),f33(x133,x134,x132))
% 2.59/2.77 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 2.59/2.77 [15]~E(x151,x152)+E(f13(x151,x153),f13(x152,x153))
% 2.59/2.77 [16]~E(x161,x162)+E(f13(x163,x161),f13(x163,x162))
% 2.59/2.77 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 2.59/2.77 [18]~E(x181,x182)+E(f32(x181,x183,x184,x185),f32(x182,x183,x184,x185))
% 2.59/2.77 [19]~E(x191,x192)+E(f32(x193,x191,x194,x195),f32(x193,x192,x194,x195))
% 2.59/2.77 [20]~E(x201,x202)+E(f32(x203,x204,x201,x205),f32(x203,x204,x202,x205))
% 2.59/2.77 [21]~E(x211,x212)+E(f32(x213,x214,x215,x211),f32(x213,x214,x215,x212))
% 2.59/2.77 [22]~E(x221,x222)+E(f14(x221,x223),f14(x222,x223))
% 2.59/2.77 [23]~E(x231,x232)+E(f14(x233,x231),f14(x233,x232))
% 2.59/2.77 [24]~E(x241,x242)+E(f7(x241,x243,x244),f7(x242,x243,x244))
% 2.59/2.77 [25]~E(x251,x252)+E(f7(x253,x251,x254),f7(x253,x252,x254))
% 2.59/2.77 [26]~E(x261,x262)+E(f7(x263,x264,x261),f7(x263,x264,x262))
% 2.59/2.77 [27]~E(x271,x272)+E(f12(x271,x273,x274),f12(x272,x273,x274))
% 2.59/2.77 [28]~E(x281,x282)+E(f12(x283,x281,x284),f12(x283,x282,x284))
% 2.59/2.77 [29]~E(x291,x292)+E(f12(x293,x294,x291),f12(x293,x294,x292))
% 2.59/2.77 [30]~E(x301,x302)+E(f25(x301),f25(x302))
% 2.59/2.77 [31]~E(x311,x312)+E(f8(x311,x313,x314),f8(x312,x313,x314))
% 2.59/2.77 [32]~E(x321,x322)+E(f8(x323,x321,x324),f8(x323,x322,x324))
% 2.59/2.77 [33]~E(x331,x332)+E(f8(x333,x334,x331),f8(x333,x334,x332))
% 2.59/2.77 [34]~E(x341,x342)+E(f17(x341,x343,x344,x345,x346),f17(x342,x343,x344,x345,x346))
% 2.59/2.77 [35]~E(x351,x352)+E(f17(x353,x351,x354,x355,x356),f17(x353,x352,x354,x355,x356))
% 2.59/2.77 [36]~E(x361,x362)+E(f17(x363,x364,x361,x365,x366),f17(x363,x364,x362,x365,x366))
% 2.59/2.77 [37]~E(x371,x372)+E(f17(x373,x374,x375,x371,x376),f17(x373,x374,x375,x372,x376))
% 2.59/2.77 [38]~E(x381,x382)+E(f17(x383,x384,x385,x386,x381),f17(x383,x384,x385,x386,x382))
% 2.59/2.77 [39]~E(x391,x392)+E(f21(x391,x393,x394,x395),f21(x392,x393,x394,x395))
% 2.59/2.77 [40]~E(x401,x402)+E(f21(x403,x401,x404,x405),f21(x403,x402,x404,x405))
% 2.59/2.77 [41]~E(x411,x412)+E(f21(x413,x414,x411,x415),f21(x413,x414,x412,x415))
% 2.59/2.77 [42]~E(x421,x422)+E(f21(x423,x424,x425,x421),f21(x423,x424,x425,x422))
% 2.59/2.77 [43]~E(x431,x432)+E(f10(x431,x433,x434,x435),f10(x432,x433,x434,x435))
% 2.59/2.77 [44]~E(x441,x442)+E(f10(x443,x441,x444,x445),f10(x443,x442,x444,x445))
% 2.59/2.77 [45]~E(x451,x452)+E(f10(x453,x454,x451,x455),f10(x453,x454,x452,x455))
% 2.59/2.77 [46]~E(x461,x462)+E(f10(x463,x464,x465,x461),f10(x463,x464,x465,x462))
% 2.59/2.77 [47]~E(x471,x472)+E(f23(x471,x473,x474,x475),f23(x472,x473,x474,x475))
% 2.59/2.77 [48]~E(x481,x482)+E(f23(x483,x481,x484,x485),f23(x483,x482,x484,x485))
% 2.59/2.77 [49]~E(x491,x492)+E(f23(x493,x494,x491,x495),f23(x493,x494,x492,x495))
% 2.59/2.77 [50]~E(x501,x502)+E(f23(x503,x504,x505,x501),f23(x503,x504,x505,x502))
% 2.59/2.77 [51]~E(x511,x512)+E(f15(x511,x513),f15(x512,x513))
% 2.59/2.77 [52]~E(x521,x522)+E(f15(x523,x521),f15(x523,x522))
% 2.59/2.77 [53]~E(x531,x532)+E(f30(x531,x533),f30(x532,x533))
% 2.59/2.77 [54]~E(x541,x542)+E(f30(x543,x541),f30(x543,x542))
% 2.59/2.77 [55]~E(x551,x552)+E(f4(x551,x553,x554,x555,x556),f4(x552,x553,x554,x555,x556))
% 2.59/2.77 [56]~E(x561,x562)+E(f4(x563,x561,x564,x565,x566),f4(x563,x562,x564,x565,x566))
% 2.59/2.77 [57]~E(x571,x572)+E(f4(x573,x574,x571,x575,x576),f4(x573,x574,x572,x575,x576))
% 2.59/2.77 [58]~E(x581,x582)+E(f4(x583,x584,x585,x581,x586),f4(x583,x584,x585,x582,x586))
% 2.59/2.77 [59]~E(x591,x592)+E(f4(x593,x594,x595,x596,x591),f4(x593,x594,x595,x596,x592))
% 2.59/2.77 [60]~E(x601,x602)+E(f51(x601,x603,x604,x605),f51(x602,x603,x604,x605))
% 2.59/2.77 [61]~E(x611,x612)+E(f51(x613,x611,x614,x615),f51(x613,x612,x614,x615))
% 2.59/2.77 [62]~E(x621,x622)+E(f51(x623,x624,x621,x625),f51(x623,x624,x622,x625))
% 2.59/2.77 [63]~E(x631,x632)+E(f51(x633,x634,x635,x631),f51(x633,x634,x635,x632))
% 2.59/2.77 [64]~E(x641,x642)+E(f31(x641,x643,x644),f31(x642,x643,x644))
% 2.59/2.77 [65]~E(x651,x652)+E(f31(x653,x651,x654),f31(x653,x652,x654))
% 2.59/2.77 [66]~E(x661,x662)+E(f31(x663,x664,x661),f31(x663,x664,x662))
% 2.59/2.77 [67]~E(x671,x672)+E(f49(x671,x673,x674,x675),f49(x672,x673,x674,x675))
% 2.59/2.77 [68]~E(x681,x682)+E(f49(x683,x681,x684,x685),f49(x683,x682,x684,x685))
% 2.59/2.77 [69]~E(x691,x692)+E(f49(x693,x694,x691,x695),f49(x693,x694,x692,x695))
% 2.59/2.77 [70]~E(x701,x702)+E(f49(x703,x704,x705,x701),f49(x703,x704,x705,x702))
% 2.59/2.77 [71]~E(x711,x712)+E(f54(x711,x713,x714,x715),f54(x712,x713,x714,x715))
% 2.59/2.77 [72]~E(x721,x722)+E(f54(x723,x721,x724,x725),f54(x723,x722,x724,x725))
% 2.59/2.77 [73]~E(x731,x732)+E(f54(x733,x734,x731,x735),f54(x733,x734,x732,x735))
% 2.59/2.77 [74]~E(x741,x742)+E(f54(x743,x744,x745,x741),f54(x743,x744,x745,x742))
% 2.59/2.77 [75]~E(x751,x752)+E(f9(x751,x753,x754),f9(x752,x753,x754))
% 2.59/2.77 [76]~E(x761,x762)+E(f9(x763,x761,x764),f9(x763,x762,x764))
% 2.59/2.77 [77]~E(x771,x772)+E(f9(x773,x774,x771),f9(x773,x774,x772))
% 2.59/2.77 [78]~E(x781,x782)+E(f50(x781,x783,x784,x785),f50(x782,x783,x784,x785))
% 2.59/2.77 [79]~E(x791,x792)+E(f50(x793,x791,x794,x795),f50(x793,x792,x794,x795))
% 2.59/2.77 [80]~E(x801,x802)+E(f50(x803,x804,x801,x805),f50(x803,x804,x802,x805))
% 2.59/2.77 [81]~E(x811,x812)+E(f50(x813,x814,x815,x811),f50(x813,x814,x815,x812))
% 2.59/2.77 [82]~E(x821,x822)+E(f53(x821,x823,x824,x825,x826,x827),f53(x822,x823,x824,x825,x826,x827))
% 2.59/2.77 [83]~E(x831,x832)+E(f53(x833,x831,x834,x835,x836,x837),f53(x833,x832,x834,x835,x836,x837))
% 2.59/2.77 [84]~E(x841,x842)+E(f53(x843,x844,x841,x845,x846,x847),f53(x843,x844,x842,x845,x846,x847))
% 2.59/2.77 [85]~E(x851,x852)+E(f53(x853,x854,x855,x851,x856,x857),f53(x853,x854,x855,x852,x856,x857))
% 2.59/2.77 [86]~E(x861,x862)+E(f53(x863,x864,x865,x866,x861,x867),f53(x863,x864,x865,x866,x862,x867))
% 2.59/2.77 [87]~E(x871,x872)+E(f53(x873,x874,x875,x876,x877,x871),f53(x873,x874,x875,x876,x877,x872))
% 2.59/2.77 [88]~E(x881,x882)+E(f18(x881,x883),f18(x882,x883))
% 2.59/2.77 [89]~E(x891,x892)+E(f18(x893,x891),f18(x893,x892))
% 2.59/2.77 [90]~E(x901,x902)+E(f19(x901,x903),f19(x902,x903))
% 2.59/2.77 [91]~E(x911,x912)+E(f19(x913,x911),f19(x913,x912))
% 2.59/2.77 [92]~E(x921,x922)+E(f34(x921,x923),f34(x922,x923))
% 2.59/2.77 [93]~E(x931,x932)+E(f34(x933,x931),f34(x933,x932))
% 2.59/2.77 [94]~E(x941,x942)+E(f22(x941,x943,x944),f22(x942,x943,x944))
% 2.59/2.77 [95]~E(x951,x952)+E(f22(x953,x951,x954),f22(x953,x952,x954))
% 2.59/2.77 [96]~E(x961,x962)+E(f22(x963,x964,x961),f22(x963,x964,x962))
% 2.59/2.77 [97]~E(x971,x972)+E(f16(x971,x973),f16(x972,x973))
% 2.59/2.77 [98]~E(x981,x982)+E(f16(x983,x981),f16(x983,x982))
% 2.59/2.77 [99]~E(x991,x992)+E(f48(x991,x993,x994,x995),f48(x992,x993,x994,x995))
% 2.59/2.77 [100]~E(x1001,x1002)+E(f48(x1003,x1001,x1004,x1005),f48(x1003,x1002,x1004,x1005))
% 2.59/2.77 [101]~E(x1011,x1012)+E(f48(x1013,x1014,x1011,x1015),f48(x1013,x1014,x1012,x1015))
% 2.59/2.77 [102]~E(x1021,x1022)+E(f48(x1023,x1024,x1025,x1021),f48(x1023,x1024,x1025,x1022))
% 2.59/2.77 [103]~E(x1031,x1032)+E(f52(x1031,x1033,x1034,x1035),f52(x1032,x1033,x1034,x1035))
% 2.59/2.77 [104]~E(x1041,x1042)+E(f52(x1043,x1041,x1044,x1045),f52(x1043,x1042,x1044,x1045))
% 2.59/2.77 [105]~E(x1051,x1052)+E(f52(x1053,x1054,x1051,x1055),f52(x1053,x1054,x1052,x1055))
% 2.59/2.77 [106]~E(x1061,x1062)+E(f52(x1063,x1064,x1065,x1061),f52(x1063,x1064,x1065,x1062))
% 2.59/2.77 [107]~E(x1071,x1072)+E(f55(x1071,x1073,x1074,x1075,x1076,x1077),f55(x1072,x1073,x1074,x1075,x1076,x1077))
% 2.59/2.77 [108]~E(x1081,x1082)+E(f55(x1083,x1081,x1084,x1085,x1086,x1087),f55(x1083,x1082,x1084,x1085,x1086,x1087))
% 2.59/2.77 [109]~E(x1091,x1092)+E(f55(x1093,x1094,x1091,x1095,x1096,x1097),f55(x1093,x1094,x1092,x1095,x1096,x1097))
% 2.59/2.77 [110]~E(x1101,x1102)+E(f55(x1103,x1104,x1105,x1101,x1106,x1107),f55(x1103,x1104,x1105,x1102,x1106,x1107))
% 2.59/2.77 [111]~E(x1111,x1112)+E(f55(x1113,x1114,x1115,x1116,x1111,x1117),f55(x1113,x1114,x1115,x1116,x1112,x1117))
% 2.59/2.77 [112]~E(x1121,x1122)+E(f55(x1123,x1124,x1125,x1126,x1127,x1121),f55(x1123,x1124,x1125,x1126,x1127,x1122))
% 2.59/2.77 [113]~E(x1131,x1132)+E(f26(x1131,x1133),f26(x1132,x1133))
% 2.59/2.77 [114]~E(x1141,x1142)+E(f26(x1143,x1141),f26(x1143,x1142))
% 2.59/2.77 [115]~E(x1151,x1152)+E(f47(x1151,x1153,x1154,x1155),f47(x1152,x1153,x1154,x1155))
% 2.59/2.77 [116]~E(x1161,x1162)+E(f47(x1163,x1161,x1164,x1165),f47(x1163,x1162,x1164,x1165))
% 2.59/2.77 [117]~E(x1171,x1172)+E(f47(x1173,x1174,x1171,x1175),f47(x1173,x1174,x1172,x1175))
% 2.59/2.77 [118]~E(x1181,x1182)+E(f47(x1183,x1184,x1185,x1181),f47(x1183,x1184,x1185,x1182))
% 2.59/2.77 [119]~E(x1191,x1192)+E(f24(x1191,x1193,x1194,x1195),f24(x1192,x1193,x1194,x1195))
% 2.59/2.77 [120]~E(x1201,x1202)+E(f24(x1203,x1201,x1204,x1205),f24(x1203,x1202,x1204,x1205))
% 2.59/2.77 [121]~E(x1211,x1212)+E(f24(x1213,x1214,x1211,x1215),f24(x1213,x1214,x1212,x1215))
% 2.59/2.77 [122]~E(x1221,x1222)+E(f24(x1223,x1224,x1225,x1221),f24(x1223,x1224,x1225,x1222))
% 2.59/2.77 [123]~E(x1231,x1232)+E(f29(x1231,x1233),f29(x1232,x1233))
% 2.59/2.77 [124]~E(x1241,x1242)+E(f29(x1243,x1241),f29(x1243,x1242))
% 2.59/2.77 [125]~P1(x1251)+P1(x1252)+~E(x1251,x1252)
% 2.59/2.77 [126]~P2(x1261)+P2(x1262)+~E(x1261,x1262)
% 2.59/2.77 [127]~P15(x1271)+P15(x1272)+~E(x1271,x1272)
% 2.59/2.77 [128]~P16(x1281)+P16(x1282)+~E(x1281,x1282)
% 2.59/2.77 [129]~P3(x1291)+P3(x1292)+~E(x1291,x1292)
% 2.59/2.77 [130]~P17(x1301)+P17(x1302)+~E(x1301,x1302)
% 2.59/2.77 [131]~P11(x1311)+P11(x1312)+~E(x1311,x1312)
% 2.59/2.77 [132]~P12(x1321)+P12(x1322)+~E(x1321,x1322)
% 2.59/2.77 [133]~P13(x1331)+P13(x1332)+~E(x1331,x1332)
% 2.59/2.77 [134]~P14(x1341)+P14(x1342)+~E(x1341,x1342)
% 2.59/2.77 [135]~P18(x1351)+P18(x1352)+~E(x1351,x1352)
% 2.59/2.77 [136]~P22(x1361)+P22(x1362)+~E(x1361,x1362)
% 2.59/2.77 [137]P4(x1372,x1373)+~E(x1371,x1372)+~P4(x1371,x1373)
% 2.59/2.77 [138]P4(x1383,x1382)+~E(x1381,x1382)+~P4(x1383,x1381)
% 2.59/2.77 [139]P6(x1392,x1393,x1394)+~E(x1391,x1392)+~P6(x1391,x1393,x1394)
% 2.59/2.77 [140]P6(x1403,x1402,x1404)+~E(x1401,x1402)+~P6(x1403,x1401,x1404)
% 2.59/2.77 [141]P6(x1413,x1414,x1412)+~E(x1411,x1412)+~P6(x1413,x1414,x1411)
% 2.59/2.77 [142]~P23(x1421)+P23(x1422)+~E(x1421,x1422)
% 2.59/2.77 [143]P7(x1432,x1433,x1434)+~E(x1431,x1432)+~P7(x1431,x1433,x1434)
% 2.59/2.77 [144]P7(x1443,x1442,x1444)+~E(x1441,x1442)+~P7(x1443,x1441,x1444)
% 2.59/2.77 [145]P7(x1453,x1454,x1452)+~E(x1451,x1452)+~P7(x1453,x1454,x1451)
% 2.59/2.77 [146]P9(x1462,x1463,x1464,x1465)+~E(x1461,x1462)+~P9(x1461,x1463,x1464,x1465)
% 2.59/2.77 [147]P9(x1473,x1472,x1474,x1475)+~E(x1471,x1472)+~P9(x1473,x1471,x1474,x1475)
% 2.59/2.77 [148]P9(x1483,x1484,x1482,x1485)+~E(x1481,x1482)+~P9(x1483,x1484,x1481,x1485)
% 2.59/2.77 [149]P9(x1493,x1494,x1495,x1492)+~E(x1491,x1492)+~P9(x1493,x1494,x1495,x1491)
% 2.59/2.77 [150]P8(x1502,x1503,x1504)+~E(x1501,x1502)+~P8(x1501,x1503,x1504)
% 2.59/2.77 [151]P8(x1513,x1512,x1514)+~E(x1511,x1512)+~P8(x1513,x1511,x1514)
% 2.59/2.77 [152]P8(x1523,x1524,x1522)+~E(x1521,x1522)+~P8(x1523,x1524,x1521)
% 2.59/2.77 [153]P5(x1532,x1533,x1534,x1535,x1536,x1537,x1538,x1539,x15310)+~E(x1531,x1532)+~P5(x1531,x1533,x1534,x1535,x1536,x1537,x1538,x1539,x15310)
% 2.59/2.77 [154]P5(x1543,x1542,x1544,x1545,x1546,x1547,x1548,x1549,x15410)+~E(x1541,x1542)+~P5(x1543,x1541,x1544,x1545,x1546,x1547,x1548,x1549,x15410)
% 2.59/2.77 [155]P5(x1553,x1554,x1552,x1555,x1556,x1557,x1558,x1559,x15510)+~E(x1551,x1552)+~P5(x1553,x1554,x1551,x1555,x1556,x1557,x1558,x1559,x15510)
% 2.59/2.77 [156]P5(x1563,x1564,x1565,x1562,x1566,x1567,x1568,x1569,x15610)+~E(x1561,x1562)+~P5(x1563,x1564,x1565,x1561,x1566,x1567,x1568,x1569,x15610)
% 2.59/2.77 [157]P5(x1573,x1574,x1575,x1576,x1572,x1577,x1578,x1579,x15710)+~E(x1571,x1572)+~P5(x1573,x1574,x1575,x1576,x1571,x1577,x1578,x1579,x15710)
% 2.59/2.77 [158]P5(x1583,x1584,x1585,x1586,x1587,x1582,x1588,x1589,x15810)+~E(x1581,x1582)+~P5(x1583,x1584,x1585,x1586,x1587,x1581,x1588,x1589,x15810)
% 2.59/2.77 [159]P5(x1593,x1594,x1595,x1596,x1597,x1598,x1592,x1599,x15910)+~E(x1591,x1592)+~P5(x1593,x1594,x1595,x1596,x1597,x1598,x1591,x1599,x15910)
% 2.59/2.77 [160]P5(x1603,x1604,x1605,x1606,x1607,x1608,x1609,x1602,x16010)+~E(x1601,x1602)+~P5(x1603,x1604,x1605,x1606,x1607,x1608,x1609,x1601,x16010)
% 2.59/2.77 [161]P5(x1613,x1614,x1615,x1616,x1617,x1618,x1619,x16110,x1612)+~E(x1611,x1612)+~P5(x1613,x1614,x1615,x1616,x1617,x1618,x1619,x16110,x1611)
% 2.59/2.77 [162]P10(x1622,x1623,x1624)+~E(x1621,x1622)+~P10(x1621,x1623,x1624)
% 2.59/2.77 [163]P10(x1633,x1632,x1634)+~E(x1631,x1632)+~P10(x1633,x1631,x1634)
% 2.59/2.77 [164]P10(x1643,x1644,x1642)+~E(x1641,x1642)+~P10(x1643,x1644,x1641)
% 2.59/2.77 [165]~P21(x1651)+P21(x1652)+~E(x1651,x1652)
% 2.59/2.77 [166]~P20(x1661)+P20(x1662)+~E(x1661,x1662)
% 2.59/2.77 [167]~P19(x1671)+P19(x1672)+~E(x1671,x1672)
% 2.59/2.77
% 2.59/2.77 %-------------------------------------------
% 2.59/2.77 cnf(664,plain,
% 2.59/2.77 (P23(f5(f5(f5(f28(x6641),x6642),x6643),x6642))),
% 2.59/2.77 inference(rename_variables,[],[205])).
% 2.59/2.77 cnf(666,plain,
% 2.59/2.77 (P8(x6661,x6661,x6662)),
% 2.59/2.77 inference(scs_inference,[],[175,194,184,205,2,304,392,378])).
% 2.59/2.77 cnf(667,plain,
% 2.59/2.77 (P6(x6671,x6671,f40(x6672,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(670,plain,
% 2.59/2.77 (E(f32(f3(x6701),x6702,x6701,x6701),x6702)),
% 2.59/2.77 inference(rename_variables,[],[208])).
% 2.59/2.77 cnf(673,plain,
% 2.59/2.77 (~E(f5(f5(f28(x6731),x6732),x6733),f6(f40(x6731,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(676,plain,
% 2.59/2.77 (~E(f5(f5(f28(x6761),x6762),x6763),f6(f40(x6761,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(678,plain,
% 2.59/2.77 (E(x6781,f26(f5(f5(f28(x6782),x6781),f6(f40(x6782,a1))),x6782))),
% 2.59/2.77 inference(scs_inference,[],[175,194,184,208,205,297,673,262,2,304,392,378,335,651,650,548])).
% 2.59/2.77 cnf(681,plain,
% 2.59/2.77 (~E(f5(f5(f28(x6811),x6812),x6813),f6(f40(x6811,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(684,plain,
% 2.59/2.77 (~E(f5(f5(f28(x6841),x6842),x6843),f6(f40(x6841,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(691,plain,
% 2.59/2.77 (P6(x6911,f5(f5(f28(x6912),x6913),x6911),f40(x6912,a1))),
% 2.59/2.77 inference(rename_variables,[],[196])).
% 2.59/2.77 cnf(694,plain,
% 2.59/2.77 (P6(x6941,f5(f5(f28(x6942),x6943),x6941),f40(x6942,a1))),
% 2.59/2.77 inference(rename_variables,[],[196])).
% 2.59/2.77 cnf(697,plain,
% 2.59/2.77 (P6(f7(x6971,x6972,f40(x6973,a1)),x6971,f40(x6973,a1))),
% 2.59/2.77 inference(rename_variables,[],[204])).
% 2.59/2.77 cnf(700,plain,
% 2.59/2.77 (P6(f7(x7001,x7002,f40(x7003,a1)),x7001,f40(x7003,a1))),
% 2.59/2.77 inference(rename_variables,[],[204])).
% 2.59/2.77 cnf(703,plain,
% 2.59/2.77 (P6(x7031,f5(f5(f28(x7032),x7033),x7031),f40(x7032,a1))),
% 2.59/2.77 inference(rename_variables,[],[196])).
% 2.59/2.77 cnf(722,plain,
% 2.59/2.77 (P6(x7221,x7221,f40(x7222,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(727,plain,
% 2.59/2.77 (P9(f3(f33(a44,f6(f40(a2,a1)),a2)),x7271,f33(a44,f6(f40(a2,a1)),a2),f5(f6(f40(a2,a1)),a44))),
% 2.59/2.77 inference(scs_inference,[],[269,175,194,303,207,184,667,208,204,697,298,196,691,694,703,217,205,664,297,673,676,681,684,218,265,262,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149])).
% 2.59/2.77 cnf(731,plain,
% 2.59/2.77 (E(f32(f3(x7311),x7312,x7311,x7311),x7312)),
% 2.59/2.77 inference(rename_variables,[],[208])).
% 2.59/2.77 cnf(733,plain,
% 2.59/2.77 (P6(f7(x7331,x7332,f40(x7333,a1)),x7331,f40(x7333,a1))),
% 2.59/2.77 inference(rename_variables,[],[204])).
% 2.59/2.77 cnf(735,plain,
% 2.59/2.77 (P6(x7351,x7351,f40(x7352,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(738,plain,
% 2.59/2.77 (E(f32(f3(x7381),x7382,x7381,x7381),x7382)),
% 2.59/2.77 inference(rename_variables,[],[208])).
% 2.59/2.77 cnf(740,plain,
% 2.59/2.77 (P6(f7(x7401,x7402,f40(x7403,a1)),x7401,f40(x7403,a1))),
% 2.59/2.77 inference(rename_variables,[],[204])).
% 2.59/2.77 cnf(743,plain,
% 2.59/2.77 (P6(f6(f40(x7431,a1)),x7432,f40(x7431,a1))),
% 2.59/2.77 inference(rename_variables,[],[189])).
% 2.59/2.77 cnf(746,plain,
% 2.59/2.77 (P6(f7(x7461,x7462,f40(x7463,a1)),x7461,f40(x7463,a1))),
% 2.59/2.77 inference(rename_variables,[],[204])).
% 2.59/2.77 cnf(747,plain,
% 2.59/2.77 (P4(f6(f40(x7471,a1)),x7471)),
% 2.59/2.77 inference(rename_variables,[],[182])).
% 2.59/2.77 cnf(750,plain,
% 2.59/2.77 (P6(x7501,x7501,f40(x7502,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(756,plain,
% 2.59/2.77 (P23(f5(f5(f5(f28(x7561),x7562),x7563),x7562))),
% 2.59/2.77 inference(rename_variables,[],[205])).
% 2.59/2.77 cnf(759,plain,
% 2.59/2.77 (~E(f5(f5(f28(x7591),x7592),x7593),f6(f40(x7591,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(765,plain,
% 2.59/2.77 (~P23(f5(f6(f40(x7651,a1)),x7652))),
% 2.59/2.77 inference(rename_variables,[],[298])).
% 2.59/2.77 cnf(768,plain,
% 2.59/2.77 (P23(f33(x7681,f5(f5(f28(x7682),x7681),x7683),x7682))),
% 2.59/2.77 inference(rename_variables,[],[217])).
% 2.59/2.77 cnf(771,plain,
% 2.59/2.77 (P23(f33(x7711,f5(f5(f28(x7712),x7711),x7713),x7712))),
% 2.59/2.77 inference(rename_variables,[],[217])).
% 2.59/2.77 cnf(776,plain,
% 2.59/2.77 (P6(x7761,x7761,f40(x7762,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(779,plain,
% 2.59/2.77 (~P23(f33(x7791,f6(f40(x7792,a1)),x7792))),
% 2.59/2.77 inference(rename_variables,[],[301])).
% 2.59/2.77 cnf(785,plain,
% 2.59/2.77 (~E(f5(f5(f28(x7851),x7852),x7853),f6(f40(x7851,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(790,plain,
% 2.59/2.77 (P6(x7901,x7901,f40(x7902,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(798,plain,
% 2.59/2.77 (P6(f6(f40(x7981,a1)),x7982,f40(x7981,a1))),
% 2.59/2.77 inference(rename_variables,[],[189])).
% 2.59/2.77 cnf(801,plain,
% 2.59/2.77 (P6(x8011,x8011,f40(x8012,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(804,plain,
% 2.59/2.77 (P6(x8041,x8041,f40(x8042,a1))),
% 2.59/2.77 inference(rename_variables,[],[184])).
% 2.59/2.77 cnf(836,plain,
% 2.59/2.77 (P17(f40(x8361,a1))),
% 2.59/2.77 inference(scs_inference,[],[269,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,286,185,208,670,731,182,747,204,697,700,733,740,189,743,301,298,190,196,691,694,703,217,768,771,205,664,297,673,676,681,684,759,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310])).
% 2.59/2.77 cnf(848,plain,
% 2.59/2.77 (~E(f6(f40(x8481,a1)),f5(f5(f28(x8482),x8483),x8484))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,286,185,208,670,731,182,747,204,697,700,733,740,189,743,301,298,190,196,691,694,703,217,768,771,205,664,756,297,673,676,681,684,759,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336])).
% 2.59/2.77 cnf(1047,plain,
% 2.59/2.77 (~P23(f5(f5(f5(f20(f40(x10471,a1)),f6(f40(x10472,a1))),x10473),x10474))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,286,185,212,208,670,731,182,747,204,697,700,733,740,189,743,301,298,765,190,196,691,694,703,217,768,771,205,664,756,297,673,676,681,684,759,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586])).
% 2.59/2.77 cnf(1049,plain,
% 2.59/2.77 (~P23(f5(f5(f5(f20(f40(x10491,a1)),x10492),f6(f40(x10493,a1))),x10494))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,286,185,212,208,670,731,182,747,204,697,700,733,740,189,743,301,298,765,190,196,691,694,703,217,768,771,205,664,756,297,673,676,681,684,759,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586,585])).
% 2.59/2.77 cnf(1168,plain,
% 2.59/2.77 (E(f5(f3(x11681),x11682),x11682)),
% 2.59/2.77 inference(rename_variables,[],[181])).
% 2.59/2.77 cnf(1174,plain,
% 2.59/2.77 (~E(a1,x11741)+P22(x11741)),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,804,286,185,212,208,670,731,738,181,1168,182,747,204,697,700,733,740,746,189,743,301,779,298,765,282,190,196,691,694,703,217,768,771,205,664,756,297,673,676,681,684,759,785,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586,585,544,543,511,496,494,464,457,455,444,439,434,431,430,429,428,383,382,604,592,591,537,535,534,523,522,518,517,615,614,498,497,486,399,602,600,578,577,575,556,513,629,599,588,551,632,625,608,524,516,501,635,566,515,579,554,514,637,636,633,163,154,153,141,136])).
% 2.59/2.77 cnf(1235,plain,
% 2.59/2.77 (~E(f5(f5(f25(f40(x12351,a1)),f5(f5(f28(x12351),x12352),x12353)),x12354),f6(f40(x12351,a1)))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,804,286,185,212,208,670,731,738,181,1168,182,747,204,697,700,733,740,746,189,743,301,779,298,765,282,190,196,691,694,703,217,768,771,205,664,756,297,673,676,681,684,759,785,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586,585,544,543,511,496,494,464,457,455,444,439,434,431,430,429,428,383,382,604,592,591,537,535,534,523,522,518,517,615,614,498,497,486,399,602,600,578,577,575,556,513,629,599,588,551,632,625,608,524,516,501,635,566,515,579,554,514,637,636,633,163,154,153,141,136,398,316,453,451,449,447,415,414,413,412,572,571,570,569,476,408,352,351,350,349,348,347,473,460,418,396,395,346,345,656,338])).
% 2.59/2.77 cnf(1236,plain,
% 2.59/2.77 (~E(f5(f5(f28(x12361),x12362),x12363),f6(f40(x12361,a1)))),
% 2.59/2.77 inference(rename_variables,[],[297])).
% 2.59/2.77 cnf(1258,plain,
% 2.59/2.77 (P23(f33(x12581,f5(f5(f28(x12582),x12581),x12583),x12582))),
% 2.59/2.77 inference(rename_variables,[],[217])).
% 2.59/2.77 cnf(1274,plain,
% 2.59/2.77 (~P23(f5(f5(a42,f51(a39,a43,a42,a42)),f49(a39,a43,a42,a42)))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,804,286,185,212,208,670,731,738,181,1168,182,747,204,697,700,733,740,746,189,743,798,301,779,298,765,282,190,196,691,694,703,217,768,771,1258,205,664,756,297,673,676,681,684,759,785,1236,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586,585,544,543,511,496,494,464,457,455,444,439,434,431,430,429,428,383,382,604,592,591,537,535,534,523,522,518,517,615,614,498,497,486,399,602,600,578,577,575,556,513,629,599,588,551,632,625,608,524,516,501,635,566,515,579,554,514,637,636,633,163,154,153,141,136,398,316,453,451,449,447,415,414,413,412,572,571,570,569,476,408,352,351,350,349,348,347,473,460,418,396,395,346,345,656,338,337,478,420,619,587,547,531,530,528,546,507,623,582,508,581,580,536,643])).
% 2.59/2.77 cnf(1276,plain,
% 2.59/2.77 (P23(f5(f5(a39,f51(a39,a43,a42,a42)),f50(a39,a43,a42,a42)))),
% 2.59/2.77 inference(scs_inference,[],[269,168,169,170,171,172,173,174,175,176,177,178,179,194,303,207,184,667,722,735,750,776,790,801,804,286,185,212,208,670,731,738,181,1168,182,747,204,697,700,733,740,746,189,743,798,301,779,298,765,282,190,196,691,694,703,217,768,771,1258,205,664,756,297,673,676,681,684,759,785,1236,271,218,265,262,246,2,304,392,378,335,651,650,548,655,654,503,404,542,541,540,539,479,445,440,385,354,573,484,477,568,152,151,150,149,148,144,142,140,139,138,3,433,411,356,584,371,381,483,553,485,426,425,576,607,606,532,521,621,595,642,406,458,526,525,325,366,364,362,360,329,328,327,323,322,315,314,313,312,311,310,309,308,307,306,305,336,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,624,574,565,559,558,557,520,500,499,463,462,461,432,376,370,369,368,358,357,344,342,340,332,331,326,320,319,318,317,409,402,401,388,367,334,333,330,596,586,585,544,543,511,496,494,464,457,455,444,439,434,431,430,429,428,383,382,604,592,591,537,535,534,523,522,518,517,615,614,498,497,486,399,602,600,578,577,575,556,513,629,599,588,551,632,625,608,524,516,501,635,566,515,579,554,514,637,636,633,163,154,153,141,136,398,316,453,451,449,447,415,414,413,412,572,571,570,569,476,408,352,351,350,349,348,347,473,460,418,396,395,346,345,656,338,337,478,420,619,587,547,531,530,528,546,507,623,582,508,581,580,536,643,641])).
% 2.59/2.77 cnf(1330,plain,
% 2.59/2.77 (E(x13301,f26(f5(f5(f28(x13302),x13301),f6(f40(x13302,a1))),x13302))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1334,plain,
% 2.59/2.77 (P9(f3(x13341),x13342,x13341,x13341)),
% 2.59/2.77 inference(rename_variables,[],[207])).
% 2.59/2.77 cnf(1340,plain,
% 2.59/2.77 (P9(f3(x13401),x13402,x13401,x13401)),
% 2.59/2.77 inference(rename_variables,[],[207])).
% 2.59/2.77 cnf(1343,plain,
% 2.59/2.77 (E(x13431,f26(f5(f5(f28(x13432),x13431),f6(f40(x13432,a1))),x13432))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1345,plain,
% 2.59/2.77 (E(x13451,f26(f5(f5(f28(x13452),x13451),f6(f40(x13452,a1))),x13452))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1347,plain,
% 2.59/2.77 (E(x13471,f26(f5(f5(f28(x13472),x13471),f6(f40(x13472,a1))),x13472))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1349,plain,
% 2.59/2.77 (E(x13491,f26(f5(f5(f28(x13492),x13491),f6(f40(x13492,a1))),x13492))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1351,plain,
% 2.59/2.77 (E(x13511,f26(f5(f5(f28(x13512),x13511),f6(f40(x13512,a1))),x13512))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1353,plain,
% 2.59/2.77 (E(x13531,f26(f5(f5(f28(x13532),x13531),f6(f40(x13532,a1))),x13532))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1355,plain,
% 2.59/2.77 (E(x13551,f26(f5(f5(f28(x13552),x13551),f6(f40(x13552,a1))),x13552))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1357,plain,
% 2.59/2.77 (E(x13571,f26(f5(f5(f28(x13572),x13571),f6(f40(x13572,a1))),x13572))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1359,plain,
% 2.59/2.77 (E(x13591,f26(f5(f5(f28(x13592),x13591),f6(f40(x13592,a1))),x13592))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1361,plain,
% 2.59/2.77 (E(x13611,f26(f5(f5(f28(x13612),x13611),f6(f40(x13612,a1))),x13612))),
% 2.59/2.77 inference(rename_variables,[],[678])).
% 2.59/2.77 cnf(1370,plain,
% 2.59/2.77 (~P23(f5(f5(f5(f20(f40(x13701,a1)),f6(f40(x13702,a1))),x13703),x13704))),
% 2.59/2.77 inference(rename_variables,[],[1047])).
% 2.59/2.77 cnf(1378,plain,
% 2.59/2.77 ($false),
% 2.59/2.77 inference(scs_inference,[],[269,287,222,205,174,175,176,178,207,1334,1340,169,177,168,303,173,172,170,171,666,678,1330,1343,1345,1347,1349,1351,1353,1355,1357,1359,1361,1047,1370,1049,1235,848,1276,727,1274,836,1174,377,639,648,628,135,134,133,132,131,130,129,128,127,126,125,631,375,443,424,640]),
% 2.59/2.77 ['proof']).
% 2.59/2.77 % SZS output end Proof
% 2.59/2.77 % Total time :1.910000s
%------------------------------------------------------------------------------