TSTP Solution File: SWV825-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV825-1 : 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 : n010.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 21:35:23 EDT 2023
% Result : Unsatisfiable 2.84s 2.86s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV825-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.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 02:55:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 2.58/2.81 %-------------------------------------------
% 2.58/2.81 % File :CSE---1.6
% 2.58/2.81 % Problem :theBenchmark
% 2.58/2.81 % Transform :cnf
% 2.58/2.81 % Format :tptp:raw
% 2.58/2.81 % Command :java -jar mcs_scs.jar %d %s
% 2.58/2.81
% 2.58/2.81 % Result :Theorem 2.000000s
% 2.58/2.81 % Output :CNFRefutation 2.000000s
% 2.58/2.81 %-------------------------------------------
% 2.58/2.82 %------------------------------------------------------------------------------
% 2.58/2.82 % File : SWV825-1 : TPTP v8.1.2. Released v4.1.0.
% 2.58/2.82 % Domain : Software Verification
% 2.58/2.82 % Problem : Hoare logic with procedures 158_1
% 2.58/2.82 % Version : Especial.
% 2.58/2.82 % English : Completeness is taken relative to completeness of the underlying
% 2.58/2.82 % logic. Two versions of completeness proof: nested single recursion
% 2.58/2.82 % and simultaneous recursion in call rule.
% 2.58/2.82
% 2.58/2.82 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.58/2.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.58/2.82 % Source : [Nip10]
% 2.58/2.82 % Names : Hoare-158_1 [Nip10]
% 2.58/2.82
% 2.58/2.82 % Status : Unsatisfiable
% 2.58/2.82 % Rating : 0.62 v8.1.0, 0.68 v7.5.0, 0.74 v7.4.0, 0.71 v7.3.0, 0.58 v7.0.0, 0.67 v6.3.0, 0.64 v6.2.0, 0.70 v6.1.0, 0.79 v6.0.0, 0.70 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
% 2.58/2.82 % Syntax : Number of clauses : 537 ( 161 unt; 55 nHn; 252 RR)
% 2.58/2.82 % Number of literals : 1134 ( 335 equ; 569 neg)
% 2.58/2.82 % Maximal clause size : 7 ( 2 avg)
% 2.58/2.82 % Maximal term depth : 9 ( 2 avg)
% 2.58/2.82 % Number of predicates : 25 ( 24 usr; 0 prp; 1-9 aty)
% 2.58/2.82 % Number of functors : 60 ( 60 usr; 15 con; 0-6 aty)
% 2.58/2.82 % Number of variables : 2041 ( 376 sgn)
% 2.58/2.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.58/2.82
% 2.58/2.82 % Comments :
% 2.58/2.82 %------------------------------------------------------------------------------
% 2.58/2.82 cnf(cls_image__ident_0,axiom,
% 2.58/2.82 hAPP(c_Set_Oimage(c_COMBI(T_a),T_a,T_a),V_Y) = V_Y ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_com_Osimps_I17_J_0,axiom,
% 2.58/2.82 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_below__fold1__iff_0,axiom,
% 2.58/2.82 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.82 | c_lessequals(V_x,V_xa,T_a)
% 2.58/2.82 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 2.58/2.82 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)
% 2.58/2.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_UN__insert__distrib_0,axiom,
% 2.58/2.82 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),T_a,tc_fun(T_b,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))
% 2.58/2.82 | ~ hBOOL(c_in(V_u,V_A,T_a)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_finite__Diff_0,axiom,
% 2.58/2.82 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.58/2.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_inj__on__diff_0,axiom,
% 2.58/2.82 ( 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)
% 2.58/2.82 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_Inf__insert_0,axiom,
% 2.58/2.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.82 | 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)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_insert__Diff1_0,axiom,
% 2.58/2.82 ( 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))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_UN__upper_0,axiom,
% 2.58/2.82 ( 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))
% 2.58/2.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_le__SUPI_0,axiom,
% 2.58/2.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 2.58/2.82 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 2.58/2.82 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_fold1__def_0,axiom,
% 2.58/2.82 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_diff__single__insert_0,axiom,
% 2.58/2.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.82 | ~ 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)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_subset__insert__iff_3,axiom,
% 2.58/2.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.82 | ~ 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)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_subset__insert__iff_0,axiom,
% 2.58/2.82 ( 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))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.82 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_inj__on__image__Int_0,axiom,
% 2.58/2.82 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),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_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B))
% 2.58/2.82 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.82 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.82 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_finite__surj_0,axiom,
% 2.58/2.82 ( c_Finite__Set_Ofinite(V_B,T_b)
% 2.58/2.82 | ~ c_lessequals(V_B,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),tc_fun(T_b,tc_bool))
% 2.58/2.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_image__subset__iff_0,axiom,
% 2.58/2.82 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 2.58/2.82 | ~ c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_image__constant_0,axiom,
% 2.58/2.82 ( hAPP(c_Set_Oimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))
% 2.58/2.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_Diff__triv_0,axiom,
% 2.58/2.82 ( 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))
% 2.58/2.82 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_sup__fun__eq_0,axiom,
% 2.58/2.82 ( ~ class_Lattices_Olattice(T_b)
% 2.58/2.82 | 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)) ) ).
% 2.58/2.82
% 2.58/2.82 cnf(cls_inj__on__imageI_0,axiom,
% 2.58/2.82 ( c_Fun_Oinj__on(V_g,hAPP(c_Set_Oimage(V_f,T_a,T_c),V_A),T_c,T_b)
% 2.58/2.83 | ~ c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__Un__distrib2_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__Un__distrib_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__distrib1_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__distrib2_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__Collect_1,axiom,
% 2.58/2.83 ( hBOOL(hAPP(V_P,V_x))
% 2.58/2.83 | ~ 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__absorb_0,axiom,
% 2.58/2.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__idem_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__insert_2,axiom,
% 2.58/2.83 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)
% 2.58/2.83 | hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),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_b))
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_UN__simps_I3_J_0,axiom,
% 2.58/2.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 2.58/2.83 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 ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_mem__def_1,axiom,
% 2.58/2.83 ( hBOOL(c_in(V_x,V_S,T_a))
% 2.58/2.83 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_mem__def_0,axiom,
% 2.58/2.83 ( hBOOL(hAPP(V_S,V_x))
% 2.58/2.83 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_COMBB__def_0,axiom,
% 2.58/2.83 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_COMBC__def_0,axiom,
% 2.58/2.83 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_COMBI__def_0,axiom,
% 2.58/2.83 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_COMBK__def_0,axiom,
% 2.58/2.83 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_COMBS__def_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__Un_3,axiom,
% 2.58/2.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.83 | 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) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__Un_2,axiom,
% 2.58/2.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.58/2.83 | ~ 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) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Diff__idemp_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_eq__eqI_1,axiom,
% 2.58/2.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.83 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.58/2.83 | V_xa = V_y ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_eq__eqI_0,axiom,
% 2.58/2.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.58/2.83 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.83 | V_x_H = V_y_H ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Max__mono_0,axiom,
% 2.58/2.83 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.83 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 2.58/2.83 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.58/2.83 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.83 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_linorder_Oneq__iff_1,axiom,
% 2.58/2.83 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.58/2.83 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_linorder_Onot__less__iff__gr__or__eq_2,axiom,
% 2.58/2.83 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.58/2.83 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_lessThan__subset__iff_1,axiom,
% 2.58/2.83 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.83 | 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))
% 2.58/2.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_lessThan__subset__iff_0,axiom,
% 2.58/2.83 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.83 | c_lessequals(V_x,V_y,T_a)
% 2.58/2.83 | ~ 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_image__diff__subset_0,axiom,
% 2.58/2.83 c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B),tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__left__commute_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__assoc_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__assoc_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__left__commute_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_IntE_1,axiom,
% 2.58/2.83 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.83 | ~ 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_IntE_0,axiom,
% 2.58/2.83 ( hBOOL(c_in(V_c,V_A,T_a))
% 2.58/2.83 | ~ 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)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__contraD_0,axiom,
% 2.58/2.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.58/2.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.58/2.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.83 | V_x = V_y
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__iff_0,axiom,
% 2.58/2.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.58/2.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.58/2.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.83 | V_x = V_y ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__on__def_0,axiom,
% 2.58/2.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.58/2.83 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 2.58/2.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.83 | V_x = V_xa ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inj__onD_0,axiom,
% 2.58/2.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.58/2.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.83 | V_x = V_y
% 2.58/2.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.58/2.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_UN__simps_I5_J_0,axiom,
% 2.58/2.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__absorb2_0,axiom,
% 2.58/2.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 2.58/2.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__absorb1_0,axiom,
% 2.58/2.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 2.58/2.83 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_le__iff__inf_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 2.58/2.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_le__iff__inf_1,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 2.58/2.83 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__absorb2_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 2.58/2.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__subset__iff_2,axiom,
% 2.58/2.83 ( 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))
% 2.58/2.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__upper2_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__upper1_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__least_0,axiom,
% 2.58/2.83 ( 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))
% 2.58/2.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_le__supI_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)
% 2.58/2.83 | ~ c_lessequals(V_b,V_x,T_a)
% 2.58/2.83 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__ge1_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__ge2_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_sup__least_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)
% 2.58/2.83 | ~ c_lessequals(V_z,V_x,T_a)
% 2.58/2.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_le__sup__iff_2,axiom,
% 2.58/2.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)
% 2.58/2.83 | ~ c_lessequals(V_y,V_z,T_a)
% 2.58/2.83 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Int__commute_0,axiom,
% 2.58/2.83 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) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__commute_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.83 | 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) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | 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) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Diff__partition_0,axiom,
% 2.58/2.83 ( 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
% 2.58/2.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_lessThan__eq__iff_0,axiom,
% 2.58/2.83 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.83 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 2.58/2.83 | V_x = V_y ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_com_Osimps_I14_J_0,axiom,
% 2.58/2.83 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_distrib__inf__le_0,axiom,
% 2.58/2.83 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.83 | 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) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Diff__subset_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_Un__Int__crazy_0,axiom,
% 2.58/2.83 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)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_image__constant__conv_0,axiom,
% 2.58/2.83 hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_CollectI_0,axiom,
% 2.58/2.83 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 2.58/2.83 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 2.58/2.83
% 2.58/2.83 cnf(cls_CollectD_0,axiom,
% 2.58/2.83 ( hBOOL(hAPP(V_P,V_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Diff__iff_2,axiom,
% 2.58/2.84 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 2.58/2.84 | hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_DiffI_0,axiom,
% 2.58/2.84 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 2.58/2.84 | hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_insert__subset_0,axiom,
% 2.58/2.84 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.58/2.84 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_SUP__const_0,axiom,
% 2.58/2.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 2.58/2.84 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 2.58/2.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_insert__image_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)) = hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_subset__insert__iff_2,axiom,
% 2.58/2.84 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_subset__insert__iff_1,axiom,
% 2.58/2.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.84 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_subset__insert_1,axiom,
% 2.58/2.84 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_subset__insert_0,axiom,
% 2.58/2.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.84 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_vimage__mono_0,axiom,
% 2.58/2.84 ( c_lessequals(hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),tc_fun(T_b,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Int__insert__right_1,axiom,
% 2.58/2.84 ( 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)
% 2.58/2.84 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Int__insert__left_1,axiom,
% 2.58/2.84 ( 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)
% 2.58/2.84 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__iff_2,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__I_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 2.58/2.84 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__Diff__cancel2_0,axiom,
% 2.58/2.84 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) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__Diff__cancel_0,axiom,
% 2.58/2.84 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) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_fun__diff__def_0,axiom,
% 2.58/2.84 ( ~ class_HOL_Ominus(T_b)
% 2.58/2.84 | 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) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_vimage__Diff_0,axiom,
% 2.58/2.84 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),tc_fun(T_a,tc_bool)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a) = hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))
% 2.58/2.84 | hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_image__vimage__subset_0,axiom,
% 2.58/2.84 c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Collect__def_0,axiom,
% 2.58/2.84 c_Collect(V_P,T_a) = V_P ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_fun__left__comm__idem__sup_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.84 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I3_J_1,axiom,
% 2.58/2.84 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.58/2.84 | V_com2 = V_com2_H ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I3_J_0,axiom,
% 2.58/2.84 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.58/2.84 | V_com1 = V_com1_H ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I46_J_0,axiom,
% 2.58/2.84 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Sup__insert_0,axiom,
% 2.58/2.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I44_J_0,axiom,
% 2.58/2.84 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__Diff2_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__Diff2_1,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inj__on__id2_0,axiom,
% 2.58/2.84 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__UN_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.84 | ~ 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)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I52_J_0,axiom,
% 2.58/2.84 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_DiffE_0,axiom,
% 2.58/2.84 ( hBOOL(c_in(V_c,V_A,T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 2.58/2.84 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A) != hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B)
% 2.58/2.84 | ~ 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)
% 2.58/2.84 | V_A = V_B ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_DiffE_1,axiom,
% 2.58/2.84 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__subset__iff_0,axiom,
% 2.58/2.84 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 2.58/2.84 | ~ 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_K__record__comp_0,axiom,
% 2.58/2.84 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I45_J_0,axiom,
% 2.58/2.84 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__absorb_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I4_J_2,axiom,
% 2.58/2.84 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.58/2.84 | V_com2 = V_com2_H ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I4_J_1,axiom,
% 2.58/2.84 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.58/2.84 | V_com1 = V_com1_H ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I4_J_0,axiom,
% 2.58/2.84 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.58/2.84 | V_fun = V_fun_H ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_image__Int__subset_0,axiom,
% 2.58/2.84 c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)),tc_fun(T_a,tc_bool)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__Un_2,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__UnI_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | 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))
% 2.58/2.84 | ~ c_lessequals(V_b,V_d,T_a)
% 2.58/2.84 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | c_lessequals(V_b,V_d,T_a)
% 2.58/2.84 | ~ c_lessequals(V_a,V_b,T_a)
% 2.58/2.84 | ~ 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | c_lessequals(V_c,V_a,T_a)
% 2.58/2.84 | ~ c_lessequals(V_a,V_b,T_a)
% 2.58/2.84 | ~ 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_o__apply_0,axiom,
% 2.58/2.84 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_o__eq__dest__lhs_0,axiom,
% 2.58/2.84 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))
% 2.58/2.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c)) = hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))
% 2.58/2.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(V_times,V_a),V_b) = hAPP(hAPP(V_times,V_b),V_a)
% 2.58/2.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | 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))
% 2.58/2.84 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_sup1E_0,axiom,
% 2.58/2.84 ( hBOOL(hAPP(V_B,V_x))
% 2.58/2.84 | hBOOL(hAPP(V_A,V_x))
% 2.58/2.84 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_sup1CI_0,axiom,
% 2.58/2.84 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.58/2.84 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_sup1CI_1,axiom,
% 2.58/2.84 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.58/2.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_endo__inj__surj_0,axiom,
% 2.58/2.84 ( hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A) = V_A
% 2.58/2.84 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.58/2.84 | ~ c_lessequals(hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),V_A,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UnE_0,axiom,
% 2.58/2.84 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.84 | hBOOL(c_in(V_c,V_A,T_a))
% 2.58/2.84 | ~ 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_vimage__ident_0,axiom,
% 2.58/2.84 hAPP(c_Set_Ovimage(c_COMBI(T_a),T_a,T_a),V_Y) = V_Y ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inf__left__commute_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inf__assoc_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Int__assoc_0,axiom,
% 2.58/2.84 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)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Int__left__commute_0,axiom,
% 2.58/2.84 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)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__extend__simps_I10_J_0,axiom,
% 2.58/2.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_b,T_c),V_A),V_B,T_c,tc_fun(T_a,tc_bool)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__Un_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(V_F,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__Un_1,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(V_G,T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 2.58/2.84 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 ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 2.58/2.84 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 ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_com_Osimps_I16_J_0,axiom,
% 2.58/2.84 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Diff__Int__distrib_0,axiom,
% 2.58/2.84 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)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Diff__Int__distrib2_0,axiom,
% 2.58/2.84 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)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Diff__mono_0,axiom,
% 2.58/2.84 ( 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))
% 2.58/2.84 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 2.58/2.84 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 2.58/2.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.84 | 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)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_distrib__sup__le_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.84 | 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) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Diff__Int2_0,axiom,
% 2.58/2.84 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)) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_sup__inf__absorb_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.84 | 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 ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_equalityI_0,axiom,
% 2.58/2.84 ( V_A = V_B
% 2.58/2.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_set__eq__subset_2,axiom,
% 2.58/2.84 ( V_A = V_B
% 2.58/2.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_order__eq__iff_2,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | V_x = V_y
% 2.58/2.84 | ~ c_lessequals(V_y,V_x,T_a)
% 2.58/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_order__antisym_0,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | V_x = V_y
% 2.58/2.84 | ~ c_lessequals(V_y,V_x,T_a)
% 2.58/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_order__antisym__conv_0,axiom,
% 2.58/2.84 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.84 | V_x = V_y
% 2.58/2.84 | ~ c_lessequals(V_x,V_y,T_a)
% 2.58/2.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_inf__sup__absorb_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.84 | 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 ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__Diff__Int_0,axiom,
% 2.58/2.84 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 ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_sup__absorb1_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x
% 2.58/2.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_le__iff__sup_1,axiom,
% 2.58/2.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y
% 2.58/2.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_le__iff__sup_0,axiom,
% 2.58/2.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y
% 2.58/2.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__absorb1_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 2.58/2.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Un__absorb2_0,axiom,
% 2.58/2.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 2.58/2.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_subset__Un__eq_1,axiom,
% 2.58/2.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B
% 2.58/2.84 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_finite__imageI_0,axiom,
% 2.58/2.84 ( c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_h,T_a,T_b),V_F),T_b)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_UN__simps_I3_J_1,axiom,
% 2.58/2.84 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))
% 2.58/2.84 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_bot__empty__eq_0,axiom,
% 2.58/2.84 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) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_Min__antimono_0,axiom,
% 2.58/2.84 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.84 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 2.58/2.84 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 2.58/2.84 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.84 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_Onot__less__iff__gr__or__eq_1,axiom,
% 2.58/2.84 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.84 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_OleD_0,axiom,
% 2.58/2.84 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_OleI_0,axiom,
% 2.58/2.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.58/2.84 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_Olinear_0,axiom,
% 2.58/2.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.58/2.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_Onot__le_0,axiom,
% 2.58/2.84 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_Onot__le_1,axiom,
% 2.58/2.84 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.58/2.84 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.84
% 2.58/2.84 cnf(cls_linorder_Onot__leE_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oantisym__conv1_1,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oantisym__conv2_1,axiom,
% 2.58/2.85 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__insert_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__const_1,axiom,
% 2.58/2.85 ( hAPP(c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),T_a,T_b),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_fold1__belowI_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Inf__lower_0,axiom,
% 2.58/2.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.85 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.58/2.85 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.58/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__insert__left_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__insert__right_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__subset__iff_1,axiom,
% 2.58/2.85 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__subset__iff_0,axiom,
% 2.58/2.85 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__infE_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_a,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__infE_1,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_b,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__infI1_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__infI2_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__inf__iff_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_y,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__inf__iff_1,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__Diff_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__compose_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),T_a,T_b),V_x) = hAPP(c_Set_Ovimage(V_f,T_a,T_c),hAPP(c_Set_Ovimage(V_g,T_c,T_b),V_x)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__eq_1,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a))
% 2.58/2.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimageI2_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),T_b))
% 2.58/2.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimageI_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),T_b))
% 2.58/2.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimageE_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimageD_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__commute_0,axiom,
% 2.58/2.85 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) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__commute_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I5_J_0,axiom,
% 2.58/2.85 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.58/2.85 | V_fun = V_fun_H ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I5_J_1,axiom,
% 2.58/2.85 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.58/2.85 | V_com = V_com_H ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__UN__distrib_0,axiom,
% 2.58/2.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__extend__simps_I5_J_0,axiom,
% 2.58/2.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__left__absorb_0,axiom,
% 2.58/2.85 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) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__left__idem_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_comp__inj__on_0,axiom,
% 2.58/2.85 ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_g,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b,T_c)
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I15_J_0,axiom,
% 2.58/2.85 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_SUP1__iff_2,axiom,
% 2.58/2.85 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_SUP1__I_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__disjoint_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I53_J_0,axiom,
% 2.58/2.85 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.85 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)
% 2.58/2.85 | c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite_0,axiom,
% 2.58/2.85 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.58/2.85 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__Collect_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__Un_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inj__on__insert_1,axiom,
% 2.58/2.85 ( ~ hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),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_b))
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oantisym__conv2_0,axiom,
% 2.58/2.85 ( V_x = V_y
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oantisym__conv1_0,axiom,
% 2.58/2.85 ( V_x = V_y
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__Diff__if_1,axiom,
% 2.58/2.85 ( 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)))
% 2.58/2.85 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf1E_1,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_B,V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf1E_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_A,V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__surj__inj_0,axiom,
% 2.58/2.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.58/2.85 | ~ c_lessequals(V_A,hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inj__on__Un_1,axiom,
% 2.58/2.85 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.58/2.85 | ~ 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inj__on__Un_0,axiom,
% 2.58/2.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.85 | ~ 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_rev__image__eqI_0,axiom,
% 2.58/2.85 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 2.58/2.85 | hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_aa,T_a),V_A),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__iff_2,axiom,
% 2.58/2.85 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 2.58/2.85 | hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__eqI_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_imageI_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__subset__conv_1,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__subset__conv_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__Int_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_fun__left__comm__idem__inf_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__Int_1,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__Int_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__funD_0,axiom,
% 2.58/2.85 ( ~ class_HOL_Oord(T_b)
% 2.58/2.85 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 2.58/2.85 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__bot__left_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__bot__right_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__bot__left_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__bot__right_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_bot__least_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Obot(T_a)
% 2.58/2.85 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.58/2.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 2.58/2.85 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__empty_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__empty_2,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__is__empty_0,axiom,
% 2.58/2.85 ( hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 2.58/2.85 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 2.58/2.85 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__Collect__eq_0,axiom,
% 2.58/2.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 2.58/2.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_ex__in__conv_0,axiom,
% 2.58/2.85 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_ball__empty_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_P,V_x))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__iff_0,axiom,
% 2.58/2.85 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_emptyE_0,axiom,
% 2.58/2.85 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__empty_1,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__empty_0,axiom,
% 2.58/2.85 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Collect__empty__eq_0,axiom,
% 2.58/2.85 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__fold1SetE_0,axiom,
% 2.58/2.85 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__Diff_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__empty__right_0,axiom,
% 2.58/2.85 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 ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__empty__left_0,axiom,
% 2.58/2.85 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 ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__cancel_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__empty_0,axiom,
% 2.58/2.85 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 ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite_OemptyI_0,axiom,
% 2.58/2.85 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__empty__right_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__empty__left_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__subsetI_0,axiom,
% 2.58/2.85 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__is__image_0,axiom,
% 2.58/2.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__empty_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inj__on__empty_0,axiom,
% 2.58/2.85 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_bex__empty_0,axiom,
% 2.58/2.85 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__empty_1,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__empty_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_empty__is__image_1,axiom,
% 2.58/2.85 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__insert_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))))),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__Diff_0,axiom,
% 2.58/2.85 ( 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
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__singleton__eq_0,axiom,
% 2.58/2.85 ( hAPP(V_f,V_a) = V_b
% 2.58/2.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__simps_I1_J_0,axiom,
% 2.58/2.85 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__constant__conv_1,axiom,
% 2.58/2.85 ( hAPP(c_Set_Oimage(c_COMBK(V_c,T_a,T_b),T_b,T_a),V_A) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__simps_I1_J_1,axiom,
% 2.58/2.85 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))
% 2.58/2.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__mono_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__greatest_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__inf__iff_2,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__infI_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_b,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__le2_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__le1_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__lower1_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__lower2_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__greatest_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__subset__iff_2,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_o__assoc_0,axiom,
% 2.58/2.85 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) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I13_J_0,axiom,
% 2.58/2.85 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__inf__distrib2_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.58/2.85 | 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_sup__inf__distrib1_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.58/2.85 | 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__Int__distrib_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__Int__distrib2_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_o__def_0,axiom,
% 2.58/2.85 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__subset_2,axiom,
% 2.58/2.85 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__image_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Oimage(V_g,T_c,T_b),V_A)) = hAPP(c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),T_c,T_a),V_A) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__left__idem_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__left__absorb_0,axiom,
% 2.58/2.85 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) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__UN_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Oimage(V_f,T_b,T_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_fun__left__comm__idem_Ofun__left__idem_0,axiom,
% 2.58/2.85 ( hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z)) = hAPP(hAPP(V_f,V_x),V_z)
% 2.58/2.85 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__Diff__insert_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.58/2.85 | ~ 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__Diff__insert_1,axiom,
% 2.58/2.85 ( 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)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__UN_0,axiom,
% 2.58/2.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Ovimage(V_f,T_a,T_b),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__compose_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),T_b,T_a),V_r) = hAPP(c_Set_Oimage(V_f,T_c,T_a),hAPP(c_Set_Oimage(V_g,T_b,T_c),V_r)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I47_J_0,axiom,
% 2.58/2.85 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UnCI_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UnCI_1,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_fun__left__comm__idem_Ofun__left__comm__idem__apply_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofun__left__comm__idem(c_COMBB(V_f,V_g,T_a,tc_fun(T_b,T_b),T_c),T_c,T_b)
% 2.58/2.85 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__idem_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.58/2.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__absorb_0,axiom,
% 2.58/2.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__sup__iff_1,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_y,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__sup__iff_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__supI2_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__supI1_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__supE_1,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_b,V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__supE_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.58/2.85 | c_lessequals(V_a,V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__subset__iff_0,axiom,
% 2.58/2.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__subset__iff_1,axiom,
% 2.58/2.85 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Max__in_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.85 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf__fun__eq_0,axiom,
% 2.58/2.85 ( ~ class_Lattices_Olattice(T_b)
% 2.58/2.85 | 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_xt1_I6_J_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_lessequals(V_z,V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(V_z,V_y,T_a)
% 2.58/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_order__trans_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Opreorder(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(V_y,V_z,T_a)
% 2.58/2.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_set__mp_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subsetD_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_equalityE_0,axiom,
% 2.58/2.85 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_set__rev__mp_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_x,V_B,T_a))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__iff_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_t,V_B,T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__refl_0,axiom,
% 2.58/2.85 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__trans_0,axiom,
% 2.58/2.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__inj__on_0,axiom,
% 2.58/2.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_predicate1D_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_Q,V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(V_P,V_x))
% 2.58/2.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_order__eq__iff_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_order__eq__refl_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Opreorder(T_a)
% 2.58/2.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__subset_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_rev__predicate1D_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_Q,V_x))
% 2.58/2.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_rev__finite__subset_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__simps_I10_J_0,axiom,
% 2.58/2.85 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_c,T_b),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__mono_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__Un_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__Diff_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inj__on__image__set__diff_0,axiom,
% 2.58/2.85 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Min__in_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.85 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 2.58/2.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__Collect_2,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(hAPP(V_P,V_x))
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_o__eq__dest_0,axiom,
% 2.58/2.85 ( 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)
% 2.58/2.85 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_comp__cong_0,axiom,
% 2.58/2.85 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__Int_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__Un_0,axiom,
% 2.58/2.85 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))) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__code_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 2.58/2.85 | ~ hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__code_1,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_the__sym__eq__trivial_0,axiom,
% 2.58/2.85 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Onot__less__iff__gr__or__eq_0,axiom,
% 2.58/2.85 ( V_x = V_y
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_OneqE_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | V_x = V_y
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oless__linear_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.85 | V_x = V_y
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_Oantisym__conv3_0,axiom,
% 2.58/2.85 ( V_x = V_y
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 2.58/2.85 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 2.58/2.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Min__le_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.85 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_IntI_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Int__iff_2,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_inf1I_0,axiom,
% 2.58/2.85 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(V_B,V_x))
% 2.58/2.85 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_fun__left__comm__idem_Ofun__comp__idem_0,axiom,
% 2.58/2.85 ( c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b) = hAPP(V_f,V_x)
% 2.58/2.85 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_double__diff_0,axiom,
% 2.58/2.85 ( 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
% 2.58/2.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__eqI_0,axiom,
% 2.58/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.58/2.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.85 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.58/2.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_le__eqI_1,axiom,
% 2.58/2.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.58/2.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.58/2.85 | c_lessequals(V_y,V_x,T_a)
% 2.58/2.85 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__mono_0,axiom,
% 2.58/2.85 ( c_lessequals(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__image__iff_2,axiom,
% 2.58/2.85 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 2.58/2.85 | c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__imageD_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(V_A,T_b)
% 2.58/2.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__extend__simps_I3_J_1,axiom,
% 2.58/2.85 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))
% 2.58/2.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Max__ge_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.85 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__Un_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Sup__upper_0,axiom,
% 2.58/2.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.85 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 2.58/2.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_com_Osimps_I12_J_0,axiom,
% 2.58/2.85 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder__linear_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.85 | c_lessequals(V_y,V_x,T_a)
% 2.58/2.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_vimage__singleton__eq_1,axiom,
% 2.58/2.85 hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_aa,T_a),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_aa)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_UN__extend__simps_I1_J_1,axiom,
% 2.58/2.85 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))
% 2.58/2.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
% 2.58/2.85 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.58/2.85 | hBOOL(c_in(V_x,V_xa,T_b))
% 2.58/2.85 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Sup__binary_0,axiom,
% 2.58/2.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_linorder_OMax__singleton_0,axiom,
% 2.58/2.85 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 2.58/2.85 | 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 ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_single__Diff__lessThan_0,axiom,
% 2.58/2.85 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.85 | 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))) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__insert__iff_4,axiom,
% 2.58/2.85 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.85 | ~ 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)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Diff__insert__absorb_0,axiom,
% 2.58/2.85 ( 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
% 2.58/2.85 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Inf__binary_0,axiom,
% 2.58/2.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.85 | 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) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__mono_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__iff_2,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insertCI_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))
% 2.58/2.85 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_image__insert_0,axiom,
% 2.58/2.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 2.58/2.85 ( 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))
% 2.58/2.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insertE_0,axiom,
% 2.58/2.85 ( hBOOL(c_in(V_a,V_A,T_a))
% 2.58/2.85 | V_a = V_b
% 2.58/2.85 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__insert_1,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_finite__insert_0,axiom,
% 2.58/2.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.58/2.85 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_subset__insertI_0,axiom,
% 2.58/2.85 c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_insert__inter__insert_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__insert__right_0,axiom,
% 2.58/2.85 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)) ).
% 2.58/2.85
% 2.58/2.85 cnf(cls_Un__insert__left_0,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_subset__insertI2_0,axiom,
% 2.58/2.86 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))
% 2.58/2.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__subset_1,axiom,
% 2.58/2.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.58/2.86 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_inj__on__insert_0,axiom,
% 2.58/2.86 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.58/2.86 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__iff_1,axiom,
% 2.58/2.86 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insertI1_0,axiom,
% 2.58/2.86 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insertCI_1,axiom,
% 2.58/2.86 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_fun__left__comm__idem__insert_0,axiom,
% 2.58/2.86 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__ident_0,axiom,
% 2.58/2.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)
% 2.58/2.86 | hBOOL(c_in(V_x,V_B,T_a))
% 2.58/2.86 | hBOOL(c_in(V_x,V_A,T_a))
% 2.58/2.86 | V_A = V_B ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__absorb_0,axiom,
% 2.58/2.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A
% 2.58/2.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_COMBI__def__raw_0,axiom,
% 2.58/2.86 hAPP(c_COMBI(t_a),v_P) = v_P ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_triple_Osplit__asm_0,axiom,
% 2.58/2.86 ( ~ 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)))
% 2.58/2.86 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_triple_Osplit_0,axiom,
% 2.58/2.86 ( ~ 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)))
% 2.58/2.86 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_triple_Orecs_0,axiom,
% 2.58/2.86 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) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_triple_Ocases_0,axiom,
% 2.58/2.86 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) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_weaken_0,axiom,
% 2.58/2.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.58/2.86 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 2.58/2.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_asm_0,axiom,
% 2.58/2.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.58/2.86 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_COMBB__def__raw_0,axiom,
% 2.58/2.86 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_COMBS__def__raw_0,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_COMBC__def__raw_0,axiom,
% 2.58/2.86 c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Loop_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_hoare__derivs_OIf_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ 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)
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_bot__fun__eq_0,axiom,
% 2.58/2.86 ( ~ class_Orderings_Obot(T_b)
% 2.58/2.86 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Sup__empty_0,axiom,
% 2.58/2.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.86 | 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_singleton__conv2_0,axiom,
% 2.58/2.86 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))) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_subset__singletonD_0,axiom,
% 2.58/2.86 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 2.58/2.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.86 | ~ 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)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_singleton__iff_1,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 2.58/2.86 ( 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
% 2.58/2.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 2.58/2.86 ( 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
% 2.58/2.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Sup__singleton_0,axiom,
% 2.58/2.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.86 | 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 ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 2.58/2.86 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))) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 2.58/2.86 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))) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_fold1Set__sing_1,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Min__singleton_0,axiom,
% 2.58/2.86 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.86 | 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 ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 2.58/2.86 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 ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Diff__insert2_0,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Diff__insert_0,axiom,
% 2.58/2.86 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)) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_fold1Set__sing_0,axiom,
% 2.58/2.86 ( V_a = V_b
% 2.58/2.86 | ~ 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)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_contents__eq_0,axiom,
% 2.58/2.86 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 ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_singletonE_0,axiom,
% 2.58/2.86 ( V_b = V_a
% 2.58/2.86 | ~ 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)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_fold1__singleton_0,axiom,
% 2.58/2.86 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 ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Max__singleton_0,axiom,
% 2.58/2.86 ( ~ class_Orderings_Olinorder(T_a)
% 2.58/2.86 | 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 ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__Diff__single_0,axiom,
% 2.58/2.86 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) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 2.58/2.86 ( ~ class_Orderings_Oorder(T_a)
% 2.58/2.86 | 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))) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.58/2.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.58/2.86 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_insert__is__Un_0,axiom,
% 2.58/2.86 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) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Inf__singleton_0,axiom,
% 2.58/2.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 2.58/2.86 | 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 ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_conseq_1,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | 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)))
% 2.58/2.86 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | 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)))
% 2.58/2.86 | ~ 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)))
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | 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))) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ 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)))
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_conseq_0,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | 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))) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_conseq_2,axiom,
% 2.58/2.86 ( 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)
% 2.58/2.86 | ~ 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)))
% 2.58/2.86 | ~ 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) ) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_COMBK__def__raw_0,axiom,
% 2.58/2.86 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 2.58/2.86 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) ).
% 2.58/2.86
% 2.58/2.86 cnf(cls_Comp_0,axiom,
% 2.58/2.86 ( 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)
% 2.84/2.86 | ~ 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)
% 2.84/2.86 | ~ 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) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 2.84/2.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)
% 2.84/2.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.84/2.86 | ~ 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) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__code_1,axiom,
% 2.84/2.86 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_cut_0,axiom,
% 2.84/2.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.84/2.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 2.84/2.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_empty__not__insert_0,axiom,
% 2.84/2.86 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_triple_Oinject_2,axiom,
% 2.84/2.86 ( 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)
% 2.84/2.86 | V_fun2 = V_fun2_H ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_triple_Oinject_1,axiom,
% 2.84/2.86 ( 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)
% 2.84/2.86 | V_com = V_com_H ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_triple_Oinject_0,axiom,
% 2.84/2.86 ( 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)
% 2.84/2.86 | V_fun1 = V_fun1_H ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.84/2.86 ( 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))))
% 2.84/2.86 | V_b = V_c
% 2.84/2.86 | V_b = V_d ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.84/2.86 ( 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))))
% 2.84/2.86 | V_a = V_d
% 2.84/2.86 | V_b = V_d ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.84/2.86 ( 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))))
% 2.84/2.86 | V_b = V_c
% 2.84/2.86 | V_a = V_c ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.84/2.86 ( 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))))
% 2.84/2.86 | V_a = V_d
% 2.84/2.86 | V_a = V_c ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_bot1E_0,axiom,
% 2.84/2.86 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_empty_0,axiom,
% 2.84/2.86 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__code_0,axiom,
% 2.84/2.86 ( hBOOL(hAPP(V_A,V_x))
% 2.84/2.86 | V_y = V_x
% 2.84/2.86 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__absorb2_0,axiom,
% 2.84/2.86 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) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__not__empty_0,axiom,
% 2.84/2.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__commute_0,axiom,
% 2.84/2.86 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)) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.84/2.86 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)))) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_singleton__inject_0,axiom,
% 2.84/2.86 ( 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)))
% 2.84/2.86 | V_a = V_b ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_insert__code_2,axiom,
% 2.84/2.86 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))
% 2.84/2.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_conjecture_0,negated_conjecture,
% 2.84/2.86 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) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_conjecture_1,negated_conjecture,
% 2.84/2.86 ~ 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) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_conjecture_2,negated_conjecture,
% 2.84/2.86 ( hBOOL(hAPP(hAPP(v_Q,V_s),V_s_H))
% 2.84/2.86 | hBOOL(hAPP(hAPP(v_P_H,v_Z(V_s,V_sa,V_s_H)),V_sa))
% 2.84/2.86 | ~ hBOOL(hAPP(hAPP(v_P,V_s),V_sa)) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_conjecture_3,negated_conjecture,
% 2.84/2.86 ( hBOOL(hAPP(hAPP(v_Q,V_s),V_s_H))
% 2.84/2.86 | ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(V_s,V_sa,V_s_H)),V_s_H))
% 2.84/2.86 | ~ hBOOL(hAPP(hAPP(v_P,V_s),V_sa)) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.84/2.86 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 2.84/2.86 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 2.84/2.86 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 2.84/2.86 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 2.84/2.86 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 2.84/2.86 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.84/2.86 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.84/2.86 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 2.84/2.86 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.84/2.86 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.84/2.86 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_Orderings_Obot(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__HOL_Ominus,axiom,
% 2.84/2.86 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_HOL_Ominus(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_fun__HOL_Oord,axiom,
% 2.84/2.86 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 2.84/2.86 | ~ class_HOL_Oord(T_1) ) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 2.84/2.86 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 2.84/2.86 class_Lattices_Oupper__semilattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 2.84/2.86 class_Lattices_Olower__semilattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 2.84/2.86 class_Lattices_Odistrib__lattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 2.84/2.86 class_Lattices_Obounded__lattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 2.84/2.86 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.84/2.86 class_Orderings_Opreorder(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 2.84/2.86 class_Lattices_Olattice(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.84/2.86 class_Orderings_Oorder(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.84/2.86 class_Orderings_Obot(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__HOL_Ominus,axiom,
% 2.84/2.86 class_HOL_Ominus(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(clsarity_bool__HOL_Oord,axiom,
% 2.84/2.86 class_HOL_Oord(tc_bool) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.84/2.86 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 2.84/2.86
% 2.84/2.86 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.84/2.86 ( V_X = V_Y
% 2.84/2.86 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 2.84/2.86
% 2.84/2.86 %------------------------------------------------------------------------------
% 2.84/2.86 %-------------------------------------------
% 2.84/2.86 % Proof found
% 2.84/2.86 % SZS status Theorem for theBenchmark
% 2.84/2.86 % SZS output start Proof
% 2.84/2.86 %ClaNum:692(EqnAxiom:162)
% 2.84/2.86 %VarNum:4080(SingletonVarNum:1687)
% 2.84/2.86 %MaxLitNum:7
% 2.84/2.86 %MaxfuncDepth:6
% 2.84/2.86 %SharedTerms:55
% 2.84/2.86 %goalClause: 273 316 572 622
% 2.84/2.86 %singleGoalClaCount:2
% 2.84/2.86 [163]P1(a1)
% 2.84/2.86 [164]P2(a1)
% 2.84/2.86 [165]P11(a1)
% 2.84/2.86 [166]P12(a1)
% 2.84/2.86 [167]P17(a1)
% 2.84/2.86 [168]P13(a1)
% 2.84/2.86 [169]P18(a1)
% 2.84/2.86 [170]P14(a1)
% 2.84/2.86 [171]P15(a1)
% 2.84/2.86 [172]P16(a1)
% 2.84/2.86 [173]P19(a1)
% 2.84/2.86 [174]P23(a1)
% 2.84/2.86 [191]E(f34(a45,f6(f41(a2,a1)),a2),f5(f6(f41(a2,a1)),a45))
% 2.84/2.86 [273]P7(a42,f5(f5(f28(f37(a2)),f21(a44,a46,a47,a2)),f6(f41(f37(a2),a1))),a2)
% 2.84/2.86 [316]~P7(a42,f5(f5(f28(f37(a2)),f21(a40,a46,a43,a2)),f6(f41(f37(a2),a1))),a2)
% 2.84/2.86 [180]P6(f28(x1801),x1801,f41(x1801,a1))
% 2.84/2.86 [177]P3(f6(f41(x1771,a1)),x1771)
% 2.84/2.86 [179]P5(x1791,x1791,f41(x1792,a1))
% 2.84/2.86 [207]P8(f3(x2071),x2072,x2071,x2071)
% 2.84/2.86 [299]~E(f13(x2991,x2992),a11)
% 2.84/2.86 [300]~E(f14(x3001,x3002),a11)
% 2.84/2.86 [176]E(f5(f3(x1761),x1762),x1762)
% 2.84/2.86 [181]E(f7(x1811,x1811,f41(x1812,a1)),f6(f41(x1812,a1)))
% 2.84/2.86 [184]P5(f6(f41(x1841,a1)),x1842,f41(x1841,a1))
% 2.84/2.86 [185]E(f7(x1851,f6(f41(x1852,a1)),f41(x1852,a1)),x1851)
% 2.84/2.86 [192]E(f7(f6(f41(x1921,a1)),x1922,f41(x1921,a1)),f6(f41(x1921,a1)))
% 2.84/2.86 [186]P7(x1861,f6(f41(f37(x1862),a1)),x1862)
% 2.84/2.86 [187]E(f5(f29(f3(x1871),x1871,x1871),x1872),x1872)
% 2.84/2.86 [188]E(f5(f33(f3(x1881),x1881,x1881),x1882),x1882)
% 2.84/2.86 [195]E(f5(f5(f25(f41(x1951,a1)),x1952),f6(f41(x1951,a1))),x1952)
% 2.84/2.86 [203]E(f5(f5(f20(f41(x2031,a1)),x2032),f6(f41(x2031,a1))),f6(f41(x2031,a1)))
% 2.84/2.86 [311]~P24(f5(f6(f41(x3111,a1)),x3112))
% 2.84/2.86 [314]~P24(f34(x3141,f6(f41(x3142,a1)),x3142))
% 2.84/2.86 [189]E(f5(f5(f20(f41(x1891,a1)),x1892),x1892),x1892)
% 2.84/2.86 [190]E(f5(f5(f25(f41(x1901,a1)),x1902),x1902),x1902)
% 2.84/2.86 [201]E(f35(f5(f5(f28(x2011),x2012),f6(f41(x2011,a1))),x2011),x2012)
% 2.84/2.86 [202]E(f30(f5(f5(f28(x2021),x2022),f6(f41(x2021,a1))),x2021),x2022)
% 2.84/2.86 [206]E(f5(f5(f25(f41(x2061,a1)),f6(f41(x2061,a1))),x2062),x2062)
% 2.84/2.86 [208]E(f5(f5(f20(f41(x2081,a1)),f6(f41(x2081,a1))),x2082),f6(f41(x2081,a1)))
% 2.84/2.86 [264]P24(f5(f5(f5(f28(x2641),x2642),f6(f41(x2641,a1))),f26(f5(f5(f28(x2641),x2642),f6(f41(x2641,a1))),x2641)))
% 2.84/2.86 [304]~E(f12(x3041,x3042,x3043),a11)
% 2.84/2.86 [204]P5(f7(x2041,x2042,f41(x2043,a1)),x2041,f41(x2043,a1))
% 2.84/2.86 [211]P8(x2111,f6(f41(x2112,a1)),x2112,x2113)
% 2.84/2.86 [212]E(f7(f7(x2121,x2122,f41(x2123,a1)),x2122,f41(x2123,a1)),f7(x2121,x2122,f41(x2123,a1)))
% 2.84/2.86 [193]P5(x1931,f5(f5(f28(x1932),x1933),x1931),f41(x1932,a1))
% 2.84/2.86 [197]E(f5(f29(x1971,x1972,x1973),f6(f41(x1972,a1))),f6(f41(x1973,a1)))
% 2.84/2.86 [198]E(f5(f33(x1981,x1982,x1983),f6(f41(x1983,a1))),f6(f41(x1982,a1)))
% 2.84/2.86 [217]E(f5(f5(f20(f41(x2171,a1)),x2172),f7(x2173,x2172,f41(x2171,a1))),f6(f41(x2171,a1)))
% 2.84/2.86 [237]E(f5(f5(f28(x2371),x2372),f7(x2373,f5(f5(f28(x2371),x2372),f6(f41(x2371,a1))),f41(x2371,a1))),f5(f5(f28(x2371),x2372),x2373))
% 2.84/2.86 [310]~E(f5(f5(f28(x3101),x3102),x3103),f6(f41(x3101,a1)))
% 2.84/2.86 [199]E(f5(f5(f28(x1991),x1992),f5(f5(f28(x1991),x1992),x1993)),f5(f5(f28(x1991),x1992),x1993))
% 2.84/2.86 [205]P24(f5(f5(f5(f28(x2051),x2052),x2053),x2052))
% 2.84/2.86 [209]E(f5(f5(f20(f41(x2091,a1)),x2092),x2093),f5(f5(f20(f41(x2091,a1)),x2093),x2092))
% 2.84/2.86 [210]E(f5(f5(f25(f41(x2101,a1)),x2102),x2103),f5(f5(f25(f41(x2101,a1)),x2103),x2102))
% 2.84/2.86 [216]P24(f34(x2161,f5(f5(f28(x2162),x2161),x2163),x2162))
% 2.84/2.86 [219]P5(x2191,f5(f5(f25(f41(x2192,a1)),x2193),x2191),f41(x2192,a1))
% 2.84/2.86 [220]P5(x2201,f5(f5(f25(f41(x2202,a1)),x2201),x2203),f41(x2202,a1))
% 2.84/2.86 [221]P5(f5(f5(f20(f41(x2211,a1)),x2212),x2213),x2213,f41(x2211,a1))
% 2.84/2.86 [222]P5(f5(f5(f20(f41(x2221,a1)),x2222),x2223),x2222,f41(x2221,a1))
% 2.84/2.86 [224]E(f5(f5(f25(f41(x2241,a1)),x2242),f7(x2243,x2242,f41(x2241,a1))),f5(f5(f25(f41(x2241,a1)),x2242),x2243))
% 2.84/2.86 [233]E(f5(f5(f25(f41(x2331,a1)),f7(x2332,x2333,f41(x2331,a1))),x2333),f5(f5(f25(f41(x2331,a1)),x2332),x2333))
% 2.84/2.86 [275]P7(x2751,f5(f5(f28(f37(x2752)),f21(x2753,a11,x2753,x2752)),f6(f41(f37(x2752),a1))),x2752)
% 2.84/2.86 [315]~P24(f5(f9(x3151,f6(f41(x3152,a1)),x3152),x3153))
% 2.84/2.86 [228]E(f35(f9(x2281,f5(f5(f28(x2282),x2283),f6(f41(x2282,a1))),x2282),x2282),x2283)
% 2.84/2.86 [230]E(f5(f5(f20(f41(x2301,a1)),x2302),f5(f5(f20(f41(x2301,a1)),x2302),x2303)),f5(f5(f20(f41(x2301,a1)),x2302),x2303))
% 2.84/2.86 [231]E(f5(f5(f25(f41(x2311,a1)),x2312),f5(f5(f25(f41(x2311,a1)),x2312),x2313)),f5(f5(f25(f41(x2311,a1)),x2312),x2313))
% 2.84/2.86 [234]E(f5(f5(f25(f41(x2341,a1)),f5(f5(f28(x2341),x2342),f6(f41(x2341,a1)))),x2343),f5(f5(f28(x2341),x2342),x2343))
% 2.84/2.86 [240]E(f5(f5(f25(f41(x2401,a1)),f7(x2402,x2403,f41(x2401,a1))),f5(f5(f20(f41(x2401,a1)),x2402),x2403)),x2402)
% 2.84/2.86 [256]P24(f5(f9(x2561,f5(f5(f28(x2562),x2563),f6(f41(x2562,a1))),x2562),x2563))
% 2.84/2.86 [302]~E(f14(x3021,x3022),f13(x3023,x3024))
% 2.84/2.86 [183]E(f5(f8(x1831,x1832,x1833),x1834),x1831)
% 2.84/2.86 [235]E(f7(f7(x2351,x2352,f41(x2353,a1)),f5(f5(f28(x2353),x2354),f6(f41(x2353,a1))),f41(x2353,a1)),f7(x2351,f5(f5(f28(x2353),x2354),x2352),f41(x2353,a1)))
% 2.84/2.86 [239]E(f7(x2391,f10(f6(f41(x2392,a1)),x2393,x2392,f41(x2394,a1)),f41(x2394,a1)),x2391)
% 2.84/2.86 [245]E(f7(f7(x2451,f5(f5(f28(x2452),x2453),f6(f41(x2452,a1))),f41(x2452,a1)),x2454,f41(x2452,a1)),f7(x2451,f5(f5(f28(x2452),x2453),x2454),f41(x2452,a1)))
% 2.84/2.86 [255]E(f7(f5(f5(f20(f41(x2551,a1)),x2552),x2553),f5(f5(f20(f41(x2551,a1)),x2554),x2553),f41(x2551,a1)),f7(f5(f5(f20(f41(x2551,a1)),x2552),x2553),x2554,f41(x2551,a1)))
% 2.84/2.86 [283]E(f10(f6(f41(x2831,a1)),f4(f5(f28(x2832),x2833),x2834,f41(x2832,a1),f41(x2832,a1),x2831),x2831,f41(x2832,a1)),f6(f41(x2832,a1)))
% 2.84/2.86 [284]E(f10(f6(f41(x2841,a1)),f4(f5(f25(f41(x2842,a1)),x2843),x2844,f41(x2842,a1),f41(x2842,a1),x2841),x2841,f41(x2842,a1)),f6(f41(x2842,a1)))
% 2.84/2.86 [236]E(f7(f5(f5(f20(f41(x2361,a1)),x2362),x2363),x2364,f41(x2361,a1)),f5(f5(f20(f41(x2361,a1)),x2362),f7(x2363,x2364,f41(x2361,a1))))
% 2.84/2.86 [241]E(f5(f5(f25(f41(x2411,a1)),x2412),f10(f6(f41(x2413,a1)),x2414,x2413,f41(x2411,a1))),x2412)
% 2.84/2.86 [243]P5(f5(f29(x2431,x2432,x2433),f5(f33(x2431,x2432,x2433),x2434)),x2434,f41(x2433,a1))
% 2.84/2.86 [244]E(f5(f5(f28(x2441),x2442),f10(f6(f41(x2443,a1)),x2444,x2443,f41(x2441,a1))),f5(f5(f28(x2441),x2442),f6(f41(x2441,a1))))
% 2.84/2.86 [251]E(f7(f5(f5(f20(f41(x2511,a1)),x2512),x2513),f5(f5(f20(f41(x2511,a1)),x2512),x2514),f41(x2511,a1)),f5(f5(f20(f41(x2511,a1)),x2512),f7(x2513,x2514,f41(x2511,a1))))
% 2.84/2.86 [252]E(f5(f5(f25(f41(x2521,a1)),f7(x2522,x2523,f41(x2521,a1))),f7(x2522,x2524,f41(x2521,a1))),f7(x2522,f5(f5(f20(f41(x2521,a1)),x2523),x2524),f41(x2521,a1)))
% 2.84/2.86 [253]E(f5(f5(f20(f41(x2531,a1)),f7(x2532,x2533,f41(x2531,a1))),f7(x2532,x2534,f41(x2531,a1))),f7(x2532,f5(f5(f25(f41(x2531,a1)),x2533),x2534),f41(x2531,a1)))
% 2.84/2.86 [254]E(f5(f5(f25(f41(x2541,a1)),f7(x2542,x2543,f41(x2541,a1))),f7(x2544,x2543,f41(x2541,a1))),f7(f5(f5(f25(f41(x2541,a1)),x2542),x2544),x2543,f41(x2541,a1)))
% 2.84/2.86 [282]E(f5(f17(f8(x2821,x2822,x2823),x2824,x2823,x2822,a2),a45),x2821)
% 2.84/2.86 [213]E(f5(f5(f28(x2131),x2132),f5(f5(f28(x2131),x2133),x2134)),f5(f5(f28(x2131),x2133),f5(f5(f28(x2131),x2132),x2134)))
% 2.84/2.86 [257]E(f7(f5(f5(f20(f41(x2571,a1)),x2572),x2573),f5(f5(f20(f41(x2571,a1)),x2574),x2573),f41(x2571,a1)),f5(f5(f20(f41(x2571,a1)),f7(x2572,x2574,f41(x2571,a1))),x2573))
% 2.84/2.86 [267]E(f5(f5(f25(f41(x2671,a1)),f10(f6(f41(x2672,a1)),x2673,x2672,f41(x2671,a1))),x2674),x2674)
% 2.84/2.86 [232]E(f5(f5(f25(f41(x2321,a1)),x2322),f5(f5(f28(x2321),x2323),x2324)),f5(f5(f28(x2321),x2323),f5(f5(f25(f41(x2321,a1)),x2322),x2324)))
% 2.84/2.86 [238]E(f5(f5(f25(f41(x2381,a1)),f5(f5(f28(x2381),x2382),x2383)),x2384),f5(f5(f28(x2381),x2382),f5(f5(f25(f41(x2381,a1)),x2383),x2384)))
% 2.84/2.86 [242]E(f5(f5(f20(f41(x2421,a1)),f5(f5(f28(x2421),x2422),x2423)),f5(f5(f28(x2421),x2422),x2424)),f5(f5(f28(x2421),x2422),f5(f5(f20(f41(x2421,a1)),x2423),x2424)))
% 2.84/2.86 [249]E(f5(f5(f20(f41(x2491,a1)),x2492),f5(f5(f20(f41(x2491,a1)),x2493),x2494)),f5(f5(f20(f41(x2491,a1)),x2493),f5(f5(f20(f41(x2491,a1)),x2492),x2494)))
% 2.84/2.86 [250]E(f5(f5(f25(f41(x2501,a1)),x2502),f5(f5(f25(f41(x2501,a1)),x2503),x2504)),f5(f5(f25(f41(x2501,a1)),x2503),f5(f5(f25(f41(x2501,a1)),x2502),x2504)))
% 2.84/2.86 [265]E(f5(f5(f25(f41(x2651,a1)),f5(f5(f20(f41(x2651,a1)),x2652),x2653)),f5(f5(f20(f41(x2651,a1)),x2652),x2654)),f5(f5(f20(f41(x2651,a1)),x2652),f5(f5(f25(f41(x2651,a1)),x2653),x2654)))
% 2.84/2.86 [266]E(f5(f5(f20(f41(x2661,a1)),f5(f5(f25(f41(x2661,a1)),x2662),x2663)),f5(f5(f25(f41(x2661,a1)),x2662),x2664)),f5(f5(f25(f41(x2661,a1)),x2662),f5(f5(f20(f41(x2661,a1)),x2663),x2664)))
% 2.84/2.86 [271]P24(f34(x2711,f5(f33(x2712,x2713,x2714),f5(f5(f28(x2714),f5(x2712,x2711)),f6(f41(x2714,a1)))),x2713))
% 2.84/2.86 [296]E(f5(f5(f25(f41(x2961,a1)),f5(f5(f25(f41(x2961,a1)),f5(f5(f20(f41(x2961,a1)),x2962),x2963)),f5(f5(f20(f41(x2961,a1)),x2963),x2964))),f5(f5(f20(f41(x2961,a1)),x2964),x2962)),f5(f5(f20(f41(x2961,a1)),f5(f5(f20(f41(x2961,a1)),f5(f5(f25(f41(x2961,a1)),x2962),x2963)),f5(f5(f25(f41(x2961,a1)),x2963),x2964))),f5(f5(f25(f41(x2961,a1)),x2964),x2962)))
% 2.84/2.86 [259]E(f5(f5(f20(f41(x2591,a1)),f5(f5(f20(f41(x2591,a1)),x2592),x2593)),x2594),f5(f5(f20(f41(x2591,a1)),x2592),f5(f5(f20(f41(x2591,a1)),x2593),x2594)))
% 2.84/2.86 [260]E(f5(f5(f25(f41(x2601,a1)),f5(f5(f25(f41(x2601,a1)),x2602),x2603)),x2604),f5(f5(f25(f41(x2601,a1)),x2602),f5(f5(f25(f41(x2601,a1)),x2603),x2604)))
% 2.84/2.86 [268]E(f5(f5(f25(f41(x2681,a1)),f5(f5(f20(f41(x2681,a1)),x2682),x2683)),f5(f5(f20(f41(x2681,a1)),x2684),x2683)),f5(f5(f20(f41(x2681,a1)),f5(f5(f25(f41(x2681,a1)),x2682),x2684)),x2683))
% 2.84/2.86 [269]E(f5(f5(f20(f41(x2691,a1)),f5(f5(f25(f41(x2691,a1)),x2692),x2693)),f5(f5(f25(f41(x2691,a1)),x2694),x2693)),f5(f5(f25(f41(x2691,a1)),f5(f5(f20(f41(x2691,a1)),x2692),x2694)),x2693))
% 2.84/2.86 [305]~E(f13(x3051,x3052),f12(x3053,x3054,x3055))
% 2.84/2.86 [306]~E(f14(x3061,x3062),f12(x3063,x3064,x3065))
% 2.84/2.86 [307]~E(f12(x3071,x3072,x3073),f13(x3074,x3075))
% 2.84/2.86 [308]~E(f12(x3081,x3082,x3083),f14(x3084,x3085))
% 2.84/2.86 [246]E(f7(f5(f33(x2461,x2462,x2463),x2464),f5(f33(x2461,x2462,x2463),x2465),f41(x2462,a1)),f5(f33(x2461,x2462,x2463),f7(x2464,x2465,f41(x2463,a1))))
% 2.84/2.86 [258]E(f10(f5(f5(f28(x2581),x2582),x2583),x2584,x2581,f41(x2585,a1)),f5(f5(f25(f41(x2585,a1)),f5(x2584,x2582)),f10(x2583,x2584,x2581,f41(x2585,a1))))
% 2.84/2.86 [270]P5(f7(f5(f29(x2701,x2702,x2703),x2704),f5(f29(x2701,x2702,x2703),x2705),f41(x2703,a1)),f5(f29(x2701,x2702,x2703),f7(x2704,x2705,f41(x2702,a1))),f41(x2703,a1))
% 2.84/2.86 [274]E(f5(f5(f25(f41(x2741,a1)),f10(x2742,x2743,x2744,f41(x2741,a1))),f10(x2745,x2743,x2744,f41(x2741,a1))),f10(f5(f5(f25(f41(x2744,a1)),x2742),x2745),x2743,x2744,f41(x2741,a1)))
% 2.84/2.86 [291]E(f10(x2911,f4(f5(f20(f41(x2912,a1)),x2913),x2914,f41(x2912,a1),f41(x2912,a1),x2915),x2915,f41(x2912,a1)),f5(f5(f20(f41(x2912,a1)),x2913),f10(x2911,x2914,x2915,f41(x2912,a1))))
% 2.84/2.86 [229]E(f5(f29(x2291,x2292,x2293),f5(f5(f28(x2292),x2294),x2295)),f5(f5(f28(x2293),f5(x2291,x2294)),f5(f29(x2291,x2292,x2293),x2295)))
% 2.84/2.86 [272]E(f5(f5(f25(f41(x2721,a1)),f5(f33(x2722,x2721,x2723),f5(f5(f28(x2723),x2724),f6(f41(x2723,a1))))),f5(f33(x2722,x2721,x2723),x2725)),f5(f33(x2722,x2721,x2723),f5(f5(f28(x2723),x2724),x2725)))
% 2.84/2.86 [261]E(f5(f5(f25(f41(x2611,a1)),f5(f29(x2612,x2613,x2611),x2614)),f5(f29(x2612,x2613,x2611),x2615)),f5(f29(x2612,x2613,x2611),f5(f5(f25(f41(x2613,a1)),x2614),x2615)))
% 2.84/2.86 [262]E(f5(f5(f20(f41(x2621,a1)),f5(f33(x2622,x2621,x2623),x2624)),f5(f33(x2622,x2621,x2623),x2625)),f5(f33(x2622,x2621,x2623),f5(f5(f20(f41(x2623,a1)),x2624),x2625)))
% 2.84/2.86 [263]E(f5(f5(f25(f41(x2631,a1)),f5(f33(x2632,x2631,x2633),x2634)),f5(f33(x2632,x2631,x2633),x2635)),f5(f33(x2632,x2631,x2633),f5(f5(f25(f41(x2633,a1)),x2634),x2635)))
% 2.84/2.86 [281]P5(f5(f29(x2811,x2812,x2813),f5(f5(f20(f41(x2812,a1)),x2814),x2815)),f5(f5(f20(f41(x2813,a1)),f5(f29(x2811,x2812,x2813),x2814)),f5(f29(x2811,x2812,x2813),x2815)),f41(x2813,a1))
% 2.84/2.86 [279]E(f5(f4(x2791,x2792,x2793,x2794,x2795),x2796),f5(x2791,f5(x2792,x2796)))
% 2.84/2.86 [280]E(f5(f17(x2801,x2802,x2803,x2804,x2805),x2806),f5(x2801,f5(x2802,x2806)))
% 2.84/2.86 [285]E(f10(f5(f29(x2851,x2852,x2853),x2854),x2855,x2853,f41(x2856,a1)),f10(x2854,f4(x2855,x2851,x2853,f41(x2856,a1),x2852),x2852,f41(x2856,a1)))
% 2.84/2.86 [286]E(f10(x2861,f4(x2862,x2863,x2864,f41(x2865,a1),x2866),x2866,f41(x2865,a1)),f10(f5(f29(x2863,x2866,x2864),x2861),x2862,x2864,f41(x2865,a1)))
% 2.84/2.86 [247]E(f23(x2471,f21(x2472,x2473,x2474,x2475),x2475,x2476),f5(f5(f5(x2471,x2472),x2473),x2474))
% 2.84/2.86 [248]E(f24(x2481,f21(x2482,x2483,x2484,x2485),x2485,x2486),f5(f5(f5(x2481,x2482),x2483),x2484))
% 2.84/2.86 [287]E(f10(x2871,f4(f29(x2872,x2873,x2874),x2875,f41(x2873,a1),f41(x2874,a1),x2876),x2876,f41(x2874,a1)),f5(f29(x2872,x2873,x2874),f10(x2871,x2875,x2876,f41(x2873,a1))))
% 2.84/2.86 [288]E(f10(x2881,f4(f33(x2882,x2883,x2884),x2885,f41(x2884,a1),f41(x2883,a1),x2886),x2886,f41(x2883,a1)),f5(f33(x2882,x2883,x2884),f10(x2881,x2885,x2886,f41(x2884,a1))))
% 2.84/2.86 [292]E(f5(f29(f17(x2921,x2922,x2923,x2924,x2925),x2925,x2924),x2926),f5(f29(x2921,x2923,x2924),f5(f29(x2922,x2925,x2923),x2926)))
% 2.84/2.86 [293]E(f5(f33(f17(x2931,x2932,x2933,x2934,x2935),x2935,x2934),x2936),f5(f33(x2932,x2935,x2933),f5(f33(x2931,x2933,x2934),x2936)))
% 2.84/2.86 [294]E(f5(f29(x2941,x2942,x2943),f5(f29(x2944,x2945,x2942),x2946)),f5(f29(f4(x2941,x2944,x2942,x2943,x2945),x2945,x2943),x2946))
% 2.84/2.86 [295]E(f17(x2951,f17(x2952,x2953,x2954,x2955,x2956),x2955,x2957,x2956),f17(f17(x2951,x2952,x2955,x2957,x2954),x2953,x2954,x2957,x2956))
% 2.84/2.86 [341]~P1(x3411)+P6(f20(x3411),x3411,x3411)
% 2.84/2.86 [342]~P17(x3421)+P6(f25(x3421),x3421,x3421)
% 2.84/2.86 [345]~P19(x3451)+E(f5(f6(f41(a2,x3451)),a45),f6(x3451))
% 2.84/2.86 [347]~P2(x3471)+E(f15(f6(f41(x3471,a1)),x3471),f6(x3471))
% 2.84/2.86 [317]~P14(x3172)+P3(x3171,x3172)
% 2.84/2.86 [337]~P18(x3372)+P5(x3371,x3371,x3372)
% 2.84/2.86 [338]~P23(x3382)+P5(x3381,x3381,x3382)
% 2.84/2.86 [318]~P11(x3182)+P1(f41(x3181,x3182))
% 2.84/2.86 [319]~P2(x3192)+P2(f41(x3191,x3192))
% 2.84/2.86 [320]~P11(x3202)+P11(f41(x3201,x3202))
% 2.84/2.86 [321]~P12(x3212)+P12(f41(x3211,x3212))
% 2.84/2.86 [322]~P11(x3222)+P17(f41(x3221,x3222))
% 2.84/2.86 [323]~P13(x3232)+P13(f41(x3231,x3232))
% 2.84/2.86 [324]~P18(x3242)+P18(f41(x3241,x3242))
% 2.84/2.86 [325]~P15(x3252)+P15(f41(x3251,x3252))
% 2.84/2.86 [326]~P16(x3262)+P16(f41(x3261,x3262))
% 2.84/2.86 [327]~P19(x3272)+P19(f41(x3271,x3272))
% 2.84/2.86 [328]~P23(x3282)+P23(f41(x3281,x3282))
% 2.84/2.86 [340]~P19(x3401)+P5(f6(x3401),x3402,x3401)
% 2.84/2.86 [339]~P16(x3391)+E(f5(f5(f25(x3391),x3392),f6(x3391)),x3392)
% 2.84/2.86 [343]~P16(x3431)+E(f5(f5(f20(x3431),x3432),f6(x3431)),f6(x3431))
% 2.84/2.86 [417]~P5(x4171,f6(f41(x4172,a1)),f41(x4172,a1))+E(x4171,f6(f41(x4172,a1)))
% 2.84/2.86 [335]~P1(x3351)+E(f5(f5(f20(x3351),x3352),x3352),x3352)
% 2.84/2.86 [336]~P17(x3361)+E(f5(f5(f25(x3361),x3362),x3362),x3362)
% 2.84/2.86 [344]~P16(x3441)+E(f5(f5(f25(x3441),f6(x3441)),x3442),x3442)
% 2.84/2.86 [346]~P16(x3461)+E(f5(f5(f20(x3461),f6(x3461)),x3462),f6(x3461))
% 2.84/2.86 [381]~P18(x3812)+E(f32(x3811,x3811,x3812),f5(f5(f28(x3812),x3811),f6(f41(x3812,a1))))
% 2.84/2.86 [517]~P18(x5171)+E(f7(f5(f5(f28(x5171),x5172),f6(f41(x5171,a1))),f31(x5172,x5171),f41(x5171,a1)),f5(f5(f28(x5171),x5172),f6(f41(x5171,a1))))
% 2.84/2.86 [413]~P2(x4131)+E(f16(f5(f5(f28(x4131),x4132),f6(f41(x4131,a1))),x4131),x4132)
% 2.84/2.86 [414]~P22(x4141)+E(f18(f5(f5(f28(x4141),x4142),f6(f41(x4141,a1))),x4141),x4142)
% 2.84/2.86 [415]~P2(x4151)+E(f15(f5(f5(f28(x4151),x4152),f6(f41(x4151,a1))),x4151),x4152)
% 2.84/2.86 [416]~P22(x4161)+E(f19(f5(f5(f28(x4161),x4162),f6(f41(x4161,a1))),x4161),x4162)
% 2.84/2.86 [368]~P24(f5(x3682,x3681))+P24(f34(x3681,x3682,x3683))
% 2.84/2.86 [398]P24(f5(x3981,x3982))+~P24(f34(x3982,x3981,x3983))
% 2.84/2.86 [348]~P24(f5(x3481,x3483))+~E(x3481,f6(f41(x3482,a1)))
% 2.84/2.86 [349]~P24(f5(x3492,x3493))+~E(f6(f41(x3491,a1)),x3492)
% 2.84/2.86 [390]~P3(x3901,x3903)+P3(f7(x3901,x3902,f41(x3903,a1)),x3903)
% 2.84/2.86 [391]P7(x3911,x3912,x3913)+~P5(x3912,x3911,f41(f37(x3913),a1))
% 2.84/2.86 [483]~P18(x4831)+E(f5(f5(f20(f41(x4831,a1)),f31(x4832,x4831)),f32(x4832,x4833,x4831)),f6(f41(x4831,a1)))
% 2.84/2.86 [533]P24(f34(x5332,x5333,x5331))+E(f7(f5(f5(f28(x5331),x5332),x5333),f5(f5(f28(x5331),x5332),f6(f41(x5331,a1))),f41(x5331,a1)),x5333)
% 2.84/2.86 [353]~P1(x3531)+E(f5(f5(f20(x3531),x3532),x3533),f5(f5(f20(x3531),x3533),x3532))
% 2.84/2.86 [354]~P11(x3541)+E(f5(f5(f20(x3541),x3542),x3543),f5(f5(f20(x3541),x3543),x3542))
% 2.84/2.86 [355]~P11(x3551)+E(f5(f5(f25(x3551),x3552),x3553),f5(f5(f25(x3551),x3553),x3552))
% 2.84/2.86 [356]~P17(x3561)+E(f5(f5(f25(x3561),x3562),x3563),f5(f5(f25(x3561),x3563),x3562))
% 2.84/2.86 [358]~P3(x3583,x3581)+P3(f5(f5(f28(x3581),x3582),x3583),x3581)
% 2.84/2.86 [373]~P11(x3732)+P5(x3731,f5(f5(f25(x3732),x3733),x3731),x3732)
% 2.84/2.86 [374]~P17(x3742)+P5(x3741,f5(f5(f25(x3742),x3743),x3741),x3742)
% 2.84/2.86 [375]~P11(x3752)+P5(x3751,f5(f5(f25(x3752),x3751),x3753),x3752)
% 2.84/2.86 [376]~P17(x3762)+P5(x3761,f5(f5(f25(x3762),x3761),x3763),x3762)
% 2.84/2.86 [377]~P1(x3771)+P5(f5(f5(f20(x3771),x3772),x3773),x3773,x3771)
% 2.84/2.86 [378]~P11(x3781)+P5(f5(f5(f20(x3781),x3782),x3783),x3783,x3781)
% 2.84/2.86 [379]~P1(x3791)+P5(f5(f5(f20(x3791),x3792),x3793),x3792,x3791)
% 2.84/2.86 [380]~P11(x3801)+P5(f5(f5(f20(x3801),x3802),x3803),x3802,x3801)
% 2.84/2.86 [392]P3(x3921,x3922)+~P3(f5(f5(f28(x3922),x3923),x3921),x3922)
% 2.84/2.86 [412]~P24(f34(x4122,x4123,x4121))+E(f5(f5(f28(x4121),x4122),x4123),x4123)
% 2.84/2.86 [449]~P13(x4493)+E(f7(f5(x4491,a45),f5(x4492,a45),x4493),f5(f7(x4491,x4492,f41(a2,x4493)),a45))
% 2.84/2.86 [481]E(x4811,x4812)+~E(f5(f5(f28(x4813),x4811),f6(f41(x4813,a1))),f5(f5(f28(x4813),x4812),f6(f41(x4813,a1))))
% 2.84/2.86 [516]~P5(x5162,x5163,f41(x5161,a1))+E(f5(f5(f25(f41(x5161,a1)),x5162),f7(x5163,x5162,f41(x5161,a1))),x5163)
% 2.84/2.86 [592]~P24(f34(x5922,x5923,x5921))+E(f5(f5(f28(x5921),x5922),f7(x5923,f5(f5(f28(x5921),x5922),f6(f41(x5921,a1))),f41(x5921,a1))),x5923)
% 2.84/2.86 [371]~P11(x3711)+E(f5(f5(f20(x3711),x3712),f5(f5(f25(x3711),x3712),x3713)),x3712)
% 2.84/2.86 [372]~P11(x3721)+E(f5(f5(f25(x3721),x3722),f5(f5(f20(x3721),x3722),x3723)),x3722)
% 2.84/2.86 [395]~P2(x3951)+E(f16(f5(f5(f28(x3951),x3952),x3953),x3951),f5(f5(f20(x3951),x3952),f16(x3953,x3951)))
% 2.84/2.86 [396]~P2(x3961)+E(f15(f5(f5(f28(x3961),x3962),x3963),x3961),f5(f5(f25(x3961),x3962),f15(x3963,x3961)))
% 2.84/2.86 [400]~P1(x4001)+E(f5(f5(f20(x4001),x4002),f5(f5(f20(x4001),x4002),x4003)),f5(f5(f20(x4001),x4002),x4003))
% 2.84/2.86 [401]~P11(x4011)+E(f5(f5(f20(x4011),x4012),f5(f5(f20(x4011),x4012),x4013)),f5(f5(f20(x4011),x4012),x4013))
% 2.84/2.86 [402]~P11(x4021)+E(f5(f5(f25(x4021),x4022),f5(f5(f25(x4021),x4022),x4023)),f5(f5(f25(x4021),x4022),x4023))
% 2.84/2.86 [403]~P17(x4031)+E(f5(f5(f25(x4031),x4032),f5(f5(f25(x4031),x4032),x4033)),f5(f5(f25(x4031),x4032),x4033))
% 2.84/2.86 [445]~P5(x4453,x4452,f41(x4451,a1))+E(f5(f5(f20(f41(x4451,a1)),x4452),x4453),x4453)
% 2.84/2.86 [446]~P5(x4462,x4463,f41(x4461,a1))+E(f5(f5(f20(f41(x4461,a1)),x4462),x4463),x4462)
% 2.84/2.86 [447]~P5(x4472,x4473,f41(x4471,a1))+E(f5(f5(f25(f41(x4471,a1)),x4472),x4473),x4473)
% 2.84/2.86 [448]~P5(x4483,x4482,f41(x4481,a1))+E(f5(f5(f25(f41(x4481,a1)),x4482),x4483),x4482)
% 2.84/2.86 [457]E(x4571,f6(f41(x4572,a1)))+~E(f5(f5(f25(f41(x4572,a1)),x4573),x4571),f6(f41(x4572,a1)))
% 2.84/2.86 [458]E(x4581,f6(f41(x4582,a1)))+~E(f5(f5(f25(f41(x4582,a1)),x4581),x4583),f6(f41(x4582,a1)))
% 2.84/2.86 [463]P5(x4631,x4632,f41(x4633,a1))+~E(f5(f5(f25(f41(x4633,a1)),x4631),x4632),x4632)
% 2.84/2.86 [479]~P3(x4793,x4791)+P3(f5(f5(f20(f41(x4791,a1)),x4792),x4793),x4791)
% 2.84/2.86 [480]~P3(x4802,x4801)+P3(f5(f5(f20(f41(x4801,a1)),x4802),x4803),x4801)
% 2.84/2.86 [496]E(f7(x4961,x4962,f41(x4963,a1)),x4961)+~E(f5(f5(f20(f41(x4963,a1)),x4961),x4962),f6(f41(x4963,a1)))
% 2.84/2.86 [528]P3(x5281,x5282)+~P3(f5(f5(f25(f41(x5282,a1)),x5283),x5281),x5282)
% 2.84/2.86 [529]P3(x5291,x5292)+~P3(f5(f5(f25(f41(x5292,a1)),x5291),x5293),x5292)
% 2.84/2.86 [571]E(x5711,x5712)+~P24(f5(f5(f5(f28(x5713),x5711),f6(f41(x5713,a1))),x5712))
% 2.84/2.86 [605]E(x6051,x6052)+~P24(f34(x6051,f5(f5(f28(x6053),x6052),f6(f41(x6053,a1))),x6053))
% 2.84/2.86 [619]E(x6191,f26(f5(f5(f28(x6192),x6193),f6(f41(x6192,a1))),x6192))+~P24(f5(f5(f5(f28(x6192),x6193),f6(f41(x6192,a1))),x6191))
% 2.84/2.86 [518]~P11(x5181)+E(f5(f5(f5(f20(f41(a2,x5181)),x5182),x5183),a45),f5(f5(f20(x5181),f5(x5182,a45)),f5(x5183,a45)))
% 2.84/2.86 [519]~P11(x5191)+E(f5(f5(f5(f25(f41(a2,x5191)),x5192),x5193),a45),f5(f5(f25(x5191),f5(x5192,a45)),f5(x5193,a45)))
% 2.84/2.86 [540]~P2(x5401)+E(f16(f5(f5(f28(x5401),x5402),f5(f5(f28(x5401),x5403),f6(f41(x5401,a1)))),x5401),f5(f5(f20(x5401),x5402),x5403))
% 2.84/2.86 [541]~P2(x5411)+E(f15(f5(f5(f28(x5411),x5412),f5(f5(f28(x5411),x5413),f6(f41(x5411,a1)))),x5411),f5(f5(f25(x5411),x5412),x5413))
% 2.84/2.86 [330]E(x3301,x3302)+~E(f13(x3303,x3301),f13(x3304,x3302))
% 2.84/2.86 [331]E(x3311,x3312)+~E(f14(x3313,x3311),f14(x3314,x3312))
% 2.84/2.86 [332]E(x3321,x3322)+~E(f13(x3321,x3323),f13(x3322,x3324))
% 2.84/2.86 [333]E(x3331,x3332)+~E(f14(x3331,x3333),f14(x3332,x3334))
% 2.84/2.86 [352]~P9(x3521,x3524)+E(f5(f5(x3521,x3522),x3523),f5(f5(x3521,x3523),x3522))
% 2.84/2.86 [405]~P10(x4051,x4052,x4053)+~P24(f5(f5(x4052,x4054),x4054))
% 2.84/2.86 [441]~E(f5(f29(x4413,x4412,x4414),x4411),f6(f41(x4414,a1)))+E(x4411,f6(f41(x4412,a1)))
% 2.84/2.86 [450]~P3(x4504,x4502)+P3(f5(f29(x4501,x4502,x4503),x4504),x4503)
% 2.84/2.86 [520]~P24(f34(x5202,x5204,x5201))+E(f7(f5(f5(f28(x5201),x5202),x5203),x5204,f41(x5201,a1)),f7(x5203,x5204,f41(x5201,a1)))
% 2.84/2.86 [556]~P3(f7(x5561,x5564,f41(x5562,a1)),x5562)+P3(f7(x5561,f5(f5(f28(x5562),x5563),x5564),f41(x5562,a1)),x5562)
% 2.84/2.86 [576]~P3(f7(x5761,f5(f5(f28(x5763),x5764),x5762),f41(x5763,a1)),x5763)+P3(f7(x5761,x5762,f41(x5763,a1)),x5763)
% 2.84/2.86 [645]~P6(x6451,x6454,x6453)+E(f17(f5(x6451,x6452),f5(x6451,x6452),x6453,x6453,x6453),f5(x6451,x6452))
% 2.84/2.86 [462]~P5(x4621,x4624,f41(x4622,a1))+P5(x4621,f5(f5(f28(x4622),x4623),x4624),f41(x4622,a1))
% 2.84/2.86 [498]P5(x4981,x4982,f41(x4983,a1))+~P5(f5(f5(f28(x4983),x4984),x4981),x4982,f41(x4983,a1))
% 2.84/2.86 [503]P24(f34(x5031,x5032,x5033))+~P5(f5(f5(f28(x5033),x5031),x5034),x5032,f41(x5033,a1))
% 2.84/2.86 [505]~P5(x5053,x5054,f41(x5051,a1))+P5(f5(f5(f28(x5051),x5052),x5053),f5(f5(f28(x5051),x5052),x5054),f41(x5051,a1))
% 2.84/2.86 [521]E(x5211,f6(f41(x5212,a1)))+E(f5(f29(f8(x5213,x5214,x5212),x5212,x5214),x5211),f5(f5(f28(x5214),x5213),f6(f41(x5214,a1))))
% 2.84/2.86 [525]P24(f34(x5251,x5254,x5252))+E(f5(f33(f8(x5251,x5252,x5253),x5253,x5252),x5254),f6(f41(x5253,a1)))
% 2.84/2.86 [532]P24(f34(x5322,x5324,x5321))+E(f7(f5(f5(f28(x5321),x5322),x5323),x5324,f41(x5321,a1)),f5(f5(f28(x5321),x5322),f7(x5323,x5324,f41(x5321,a1))))
% 2.84/2.86 [580]P24(f34(x5801,x5802,x5803))+~P24(f34(x5801,f7(x5802,x5804,f41(x5803,a1)),x5803))
% 2.84/2.86 [606]~P24(f34(x6061,x6062,x6063))+~P24(f34(x6061,f7(x6064,x6062,f41(x6063,a1)),x6063))
% 2.84/2.86 [452]~P24(f5(x4523,x4524))+P24(f5(f5(f5(f28(x4521),x4522),x4523),x4524))
% 2.84/2.86 [472]~P1(x4721)+E(f5(f5(f20(x4721),x4722),f5(f5(f20(x4721),x4723),x4724)),f5(f5(f20(x4721),x4723),f5(f5(f20(x4721),x4722),x4724)))
% 2.84/2.86 [473]~P11(x4731)+E(f5(f5(f20(x4731),x4732),f5(f5(f20(x4731),x4733),x4734)),f5(f5(f20(x4731),x4733),f5(f5(f20(x4731),x4732),x4734)))
% 2.84/2.86 [474]~P11(x4741)+E(f5(f5(f25(x4741),x4742),f5(f5(f25(x4741),x4743),x4744)),f5(f5(f25(x4741),x4743),f5(f5(f25(x4741),x4742),x4744)))
% 2.84/2.86 [475]~P17(x4751)+E(f5(f5(f25(x4751),x4752),f5(f5(f25(x4751),x4753),x4754)),f5(f5(f25(x4751),x4753),f5(f5(f25(x4751),x4752),x4754)))
% 2.84/2.86 [531]~P24(f34(x5311,x5314,x5312))+P24(f34(x5311,f5(f5(f28(x5312),x5313),x5314),x5312))
% 2.84/2.86 [534]P24(f34(x5343,x5342,x5341))+E(f5(f5(f20(f41(x5341,a1)),x5342),f5(f5(f28(x5341),x5343),x5344)),f5(f5(f20(f41(x5341,a1)),x5342),x5344))
% 2.84/2.86 [535]~P12(x5351)+E(f5(f5(f25(x5351),f5(f5(f20(x5351),x5352),x5353)),f5(f5(f20(x5351),x5352),x5354)),f5(f5(f20(x5351),x5352),f5(f5(f25(x5351),x5353),x5354)))
% 2.84/2.86 [536]~P12(x5361)+E(f5(f5(f20(x5361),f5(f5(f25(x5361),x5362),x5363)),f5(f5(f25(x5361),x5362),x5364)),f5(f5(f25(x5361),x5362),f5(f5(f20(x5361),x5363),x5364)))
% 2.84/2.86 [559]P5(x5591,x5592,f41(x5593,a1))+~P5(x5591,f5(f5(f20(f41(x5593,a1)),x5594),x5592),f41(x5593,a1))
% 2.84/2.86 [560]P5(x5601,x5602,f41(x5603,a1))+~P5(x5601,f5(f5(f20(f41(x5603,a1)),x5602),x5604),f41(x5603,a1))
% 2.84/2.86 [561]P5(x5611,x5612,f41(x5613,a1))+~P5(f5(f5(f25(f41(x5613,a1)),x5614),x5611),x5612,f41(x5613,a1))
% 2.84/2.86 [562]P5(x5621,x5622,f41(x5623,a1))+~P5(f5(f5(f25(f41(x5623,a1)),x5621),x5624),x5622,f41(x5623,a1))
% 2.84/2.86 [575]~P5(f7(x5751,x5753,f41(x5752,a1)),x5754,f41(x5752,a1))+P5(x5751,f5(f5(f25(f41(x5752,a1)),x5753),x5754),f41(x5752,a1))
% 2.84/2.86 [594]P5(f7(x5941,x5942,f41(x5943,a1)),x5944,f41(x5943,a1))+~P5(x5941,f5(f5(f25(f41(x5943,a1)),x5942),x5944),f41(x5943,a1))
% 2.84/2.86 [627]~P11(x6271)+P5(f5(f5(f25(x6271),x6272),f5(f5(f20(x6271),x6273),x6274)),f5(f5(f20(x6271),f5(f5(f25(x6271),x6272),x6273)),f5(f5(f25(x6271),x6272),x6274)),x6271)
% 2.84/2.86 [628]~P11(x6281)+P5(f5(f5(f25(x6281),f5(f5(f20(x6281),x6282),x6283)),f5(f5(f20(x6281),x6282),x6284)),f5(f5(f20(x6281),x6282),f5(f5(f25(x6281),x6283),x6284)),x6281)
% 2.84/2.86 [674]P7(x6742,f5(f5(f28(f37(a2)),f21(x6741,x6744,x6743,a2)),f6(f41(f37(a2),a1))),a2)+P24(f5(f5(x6741,f50(x6742,x6741,x6743,x6744)),f54(x6742,x6741,x6743,x6744)))
% 2.84/2.86 [675]P7(x6752,f5(f5(f28(f37(a2)),f21(x6751,x6754,x6753,a2)),f6(f41(f37(a2),a1))),a2)+P24(f5(f5(x6751,f51(x6752,x6751,x6753,x6754)),f52(x6752,x6751,x6753,x6754)))
% 2.84/2.86 [512]~P1(x5121)+E(f5(f5(f20(x5121),f5(f5(f20(x5121),x5122),x5123)),x5124),f5(f5(f20(x5121),x5122),f5(f5(f20(x5121),x5123),x5124)))
% 2.84/2.86 [513]~P11(x5131)+E(f5(f5(f20(x5131),f5(f5(f20(x5131),x5132),x5133)),x5134),f5(f5(f20(x5131),x5132),f5(f5(f20(x5131),x5133),x5134)))
% 2.84/2.86 [514]~P11(x5141)+E(f5(f5(f25(x5141),f5(f5(f25(x5141),x5142),x5143)),x5144),f5(f5(f25(x5141),x5142),f5(f5(f25(x5141),x5143),x5144)))
% 2.84/2.86 [515]~P17(x5151)+E(f5(f5(f25(x5151),f5(f5(f25(x5151),x5152),x5153)),x5154),f5(f5(f25(x5151),x5152),f5(f5(f25(x5151),x5153),x5154)))
% 2.84/2.86 [542]P24(f34(x5422,x5424,x5421))+E(f5(f5(f20(f41(x5421,a1)),f5(f5(f28(x5421),x5422),x5423)),x5424),f5(f5(f20(f41(x5421,a1)),x5423),x5424))
% 2.84/2.86 [553]~P12(x5531)+E(f5(f5(f25(x5531),f5(f5(f20(x5531),x5532),x5533)),f5(f5(f20(x5531),x5534),x5533)),f5(f5(f20(x5531),f5(f5(f25(x5531),x5532),x5534)),x5533))
% 2.84/2.86 [554]~P12(x5541)+E(f5(f5(f20(x5541),f5(f5(f25(x5541),x5542),x5543)),f5(f5(f25(x5541),x5544),x5543)),f5(f5(f25(x5541),f5(f5(f20(x5541),x5542),x5544)),x5543))
% 2.84/2.86 [563]~P24(f5(x5633,x5634))+P24(f5(f5(f5(f25(f41(x5631,a1)),x5632),x5633),x5634))
% 2.84/2.86 [564]~P24(f5(x5642,x5644))+P24(f5(f5(f5(f25(f41(x5641,a1)),x5642),x5643),x5644))
% 2.84/2.86 [578]~P24(f34(x5783,x5782,x5781))+E(f5(f5(f20(f41(x5781,a1)),x5782),f5(f5(f28(x5781),x5783),x5784)),f5(f5(f28(x5781),x5783),f5(f5(f20(f41(x5781,a1)),x5782),x5784)))
% 2.84/2.87 [612]~P24(f34(x6121,x6124,x6122))+P24(f34(x6121,f5(f5(f25(f41(x6122,a1)),x6123),x6124),x6122))
% 2.84/2.87 [613]~P24(f34(x6131,x6133,x6132))+P24(f34(x6131,f5(f5(f25(f41(x6132,a1)),x6133),x6134),x6132))
% 2.84/2.87 [614]~P24(f34(x6142,x6144,x6141))+E(f5(f5(f20(f41(x6141,a1)),f5(f5(f28(x6141),x6142),x6143)),x6144),f5(f5(f28(x6141),x6142),f5(f5(f20(f41(x6141,a1)),x6143),x6144)))
% 2.84/2.87 [620]P24(f5(x6201,x6202))+~P24(f5(f5(f5(f20(f41(x6203,a1)),x6204),x6201),x6202))
% 2.84/2.87 [621]P24(f5(x6211,x6212))+~P24(f5(f5(f5(f20(f41(x6213,a1)),x6211),x6214),x6212))
% 2.84/2.87 [634]P24(f5(x6341,x6342))+~P24(f34(x6342,f5(f5(f20(f41(x6343,a1)),x6344),x6341),x6343))
% 2.84/2.87 [637]P24(f34(x6371,x6372,x6373))+~P24(f34(x6371,f5(f5(f20(f41(x6373,a1)),x6374),x6372),x6373))
% 2.84/2.87 [639]P24(f34(x6391,x6392,x6393))+~P24(f34(x6391,f5(f5(f20(f41(x6393,a1)),x6392),x6394),x6393))
% 2.84/2.87 [653]E(x6531,x6532)+~P24(f5(f9(x6533,f5(f5(f28(x6534),x6531),f6(f41(x6534,a1))),x6534),x6532))
% 2.84/2.87 [642]~P5(x6424,x6422,f41(x6421,a1))+E(f5(f5(f25(f41(x6421,a1)),f5(f5(f20(f41(x6421,a1)),x6422),x6423)),x6424),f5(f5(f20(f41(x6421,a1)),x6422),f5(f5(f25(f41(x6421,a1)),x6423),x6424)))
% 2.84/2.87 [655]P5(x6551,x6552,f41(x6553,a1))+~E(f5(f5(f25(f41(x6553,a1)),f5(f5(f20(f41(x6553,a1)),x6552),x6554)),x6551),f5(f5(f20(f41(x6553,a1)),x6552),f5(f5(f25(f41(x6553,a1)),x6554),x6551)))
% 2.84/2.87 [566]~P5(x5664,x5665,f41(x5662,a1))+P5(f5(f29(x5661,x5662,x5663),x5664),f5(f29(x5661,x5662,x5663),x5665),f41(x5663,a1))
% 2.84/2.87 [567]~P5(x5674,x5675,f41(x5673,a1))+P5(f5(f33(x5671,x5672,x5673),x5674),f5(f33(x5671,x5672,x5673),x5675),f41(x5672,a1))
% 2.84/2.87 [590]~P8(x5901,x5902,x5904,x5905)+P8(x5901,f7(x5902,x5903,f41(x5904,a1)),x5904,x5905)
% 2.84/2.87 [604]P5(f5(x6041,x6042),f10(x6043,x6041,x6044,f41(x6045,a1)),f41(x6045,a1))+~P24(f34(x6042,x6043,x6044))
% 2.84/2.87 [658]~P6(x6581,x6583,x6584)+P6(f4(x6581,x6582,x6583,f41(x6584,x6584),x6585),x6585,x6584)
% 2.84/2.87 [422]~P6(x4221,x4224,x4225)+E(f5(f5(x4221,x4222),f5(f5(x4221,x4222),x4223)),f5(f5(x4221,x4222),x4223))
% 2.84/2.87 [438]~P9(x4381,x4385)+E(f5(f5(x4381,x4382),f5(f5(x4381,x4383),x4384)),f5(f5(x4381,x4383),f5(f5(x4381,x4382),x4384)))
% 2.84/2.87 [550]~P24(f34(x5505,x5504,x5503))+E(f5(f29(f8(x5501,x5502,x5503),x5503,x5502),x5504),f5(f5(f28(x5502),x5501),f6(f41(x5502,a1))))
% 2.84/2.87 [557]~P24(f5(x5574,f5(x5571,x5575)))+P24(f5(f5(f33(x5571,x5572,x5573),x5574),x5575))
% 2.84/2.87 [558]~P24(f34(x5583,x5585,x5584))+E(f5(f5(f28(x5581),f5(x5582,x5583)),f5(f29(x5582,x5584,x5581),x5585)),f5(f29(x5582,x5584,x5581),x5585))
% 2.84/2.87 [593]P8(x5931,x5932,x5933,x5934)+~P8(x5931,f5(f5(f28(x5933),x5935),x5932),x5933,x5934)
% 2.84/2.87 [603]~P24(f34(x6032,x6035,x6033))+P24(f34(f5(x6031,x6032),f5(f29(x6031,x6033,x6034),x6035),x6034))
% 2.84/2.87 [610]~P24(f34(f5(x6102,x6101),x6105,x6104))+P24(f34(x6101,f5(f33(x6102,x6103,x6104),x6105),x6103))
% 2.84/2.87 [615]P24(f5(x6151,f5(x6152,x6153)))+~P24(f5(f5(f33(x6152,x6154,x6155),x6151),x6153))
% 2.84/2.87 [632]P24(f34(f5(x6321,x6322),x6323,x6324))+~P24(f34(x6322,f5(f33(x6321,x6325,x6324),x6323),x6325))
% 2.84/2.87 [636]~P24(f34(x6363,x6364,x6365))+E(f5(f5(f25(f41(x6361,a1)),f5(x6362,x6363)),f10(x6364,x6362,x6365,f41(x6361,a1))),f10(x6364,x6362,x6365,f41(x6361,a1)))
% 2.84/2.87 [661]E(x6611,f6(f41(x6612,a1)))+E(f10(x6611,f4(f5(f28(x6613),x6614),x6615,f41(x6613,a1),f41(x6613,a1),x6612),x6612,f41(x6613,a1)),f5(f5(f28(x6613),x6614),f10(x6611,x6615,x6612,f41(x6613,a1))))
% 2.84/2.87 [665]E(x6651,f6(f41(x6652,a1)))+E(f10(x6651,f4(f5(f25(f41(x6653,a1)),x6654),x6655,f41(x6653,a1),f41(x6653,a1),x6652),x6652,f41(x6653,a1)),f5(f5(f25(f41(x6653,a1)),x6654),f10(x6651,x6655,x6652,f41(x6653,a1))))
% 2.84/2.87 [482]~P9(x4821,x4825)+E(f5(f5(x4821,f5(f5(x4821,x4822),x4823)),x4824),f5(f5(x4821,x4822),f5(f5(x4821,x4823),x4824)))
% 2.84/2.87 [629]P8(x6291,x6292,x6293,x6294)+~P8(x6291,f5(f5(f25(f41(x6293,a1)),x6295),x6292),x6293,x6294)
% 2.84/2.87 [630]P8(x6301,x6302,x6303,x6304)+~P8(x6301,f5(f5(f25(f41(x6303,a1)),x6302),x6305),x6303,x6304)
% 2.84/2.87 [659]~P8(x6592,f5(f5(f25(f41(x6593,a1)),x6594),x6595),x6593,x6591)+E(f5(f5(f20(f41(x6591,a1)),f5(f29(x6592,x6593,x6591),f7(x6594,x6595,f41(x6593,a1)))),f5(f29(x6592,x6593,x6591),f7(x6595,x6594,f41(x6593,a1)))),f6(f41(x6591,a1)))
% 2.84/2.87 [672]~P24(f5(x6721,f23(x6722,f21(x6723,x6724,x6725,a36),a36,a2)))+P24(f5(x6721,f5(f5(f5(x6722,x6723),x6724),x6725)))
% 2.84/2.87 [673]~P8(x6731,f5(f5(f28(x6732),x6733),x6734),x6732,x6735)+~P24(f34(f5(x6731,x6733),f5(f29(x6731,x6732,x6735),f7(x6734,f5(f5(f28(x6732),x6733),f6(f41(x6732,a1))),f41(x6732,a1))),x6735))
% 2.84/2.87 [681]~P7(x6811,f5(f5(f28(f37(x6812)),f21(f22(x6813,x6814,x6812),x6815,x6813,x6812)),f6(f41(f37(x6812),a1))),x6812)+P7(x6811,f5(f5(f28(f37(x6812)),f21(x6813,f13(x6814,x6815),f22(x6813,f17(a27,x6814,a1,a1,a39),x6812),x6812)),f6(f41(f37(x6812),a1))),x6812)
% 2.84/2.87 [657]E(f5(x6571,x6572),x6573)+~P24(f34(x6572,f5(f33(x6571,x6574,x6575),f5(f5(f28(x6575),x6573),f6(f41(x6575,a1)))),x6574))
% 2.84/2.87 [382]E(x3821,x3822)+~E(f12(x3823,x3824,x3821),f12(x3825,x3826,x3822))
% 2.84/2.87 [383]E(x3831,x3832)+~E(f12(x3833,x3831,x3834),f12(x3835,x3832,x3836))
% 2.84/2.87 [384]E(x3841,x3842)+~E(f12(x3841,x3843,x3844),f12(x3842,x3845,x3846))
% 2.84/2.87 [669]~P8(f17(x6691,x6692,x6694,x6696,x6693),x6695,x6693,x6696)+P8(x6691,f5(f29(x6692,x6693,x6694),x6695),x6694,x6696)
% 2.84/2.87 [662]~P24(f34(x6626,x6621,x6625))+E(f10(x6621,f4(f5(f28(x6622),x6623),x6624,f41(x6622,a1),f41(x6622,a1),x6625),x6625,f41(x6622,a1)),f5(f5(f28(x6622),x6623),f10(x6621,x6624,x6625,f41(x6622,a1))))
% 2.84/2.87 [582]E(x5821,x5822)+~E(f21(x5823,x5824,x5821,x5825),f21(x5826,x5827,x5822,x5825))
% 2.84/2.87 [583]E(x5831,x5832)+~E(f21(x5833,x5831,x5834,x5835),f21(x5836,x5832,x5837,x5835))
% 2.84/2.87 [584]E(x5841,x5842)+~E(f21(x5841,x5843,x5844,x5845),f21(x5842,x5846,x5847,x5845))
% 2.84/2.87 [667]~E(f17(x6671,x6672,x6676,x6677,x6678),f17(x6674,x6675,x6679,x6677,x6678))+E(f5(x6671,f5(x6672,x6673)),f5(x6674,f5(x6675,x6673)))
% 2.84/2.87 [683]~P4(x6834,x6831,x6835,x6836,x6837,x6838,x6833,x6839,x6832)+E(f5(x6831,f6(f41(x6832,a1))),x6833)
% 2.84/2.87 [684]~P4(x6841,x6844,x6845,x6846,x6847,x6848,x6849,x6843,x6842)+E(f5(x6841,f6(f41(x6842,a1))),x6843)
% 2.84/2.87 [687]~P4(x6874,x6871,x6875,x6876,x6877,x6878,x6879,x68710,x6872)+E(f5(x6871,f5(f5(f28(x6872),x6873),f6(f41(x6872,a1)))),x6873)
% 2.84/2.87 [688]~P4(x6881,x6884,x6885,x6886,x6887,x6888,x6889,x68810,x6882)+E(f5(x6881,f5(f5(f28(x6882),x6883),f6(f41(x6882,a1)))),x6883)
% 2.84/2.87 [670]~E(f5(x6701,f5(x6702,x6706)),f5(x6707,f5(x6708,x67011)))+E(f5(f17(x6701,x6702,x6703,x6704,x6705),x6706),f5(f17(x6707,x6708,x6709,x6704,x67010),x67011))
% 2.84/2.87 [685]~P4(x6856,x6851,x6857,x6858,x6859,x6855,x68510,x68511,x6852)+E(f5(x6851,f5(f5(f28(x6852),x6853),x6854)),f5(f5(x6855,x6853),f5(x6851,x6854)))
% 2.84/2.87 [686]~P4(x6861,x6866,x6867,x6868,x6865,x6869,x68610,x68611,x6862)+E(f5(x6861,f5(f5(f28(x6862),x6863),x6864)),f5(f5(x6865,x6863),f5(x6861,x6864)))
% 2.84/2.87 [691]~P4(x6916,x6911,x6917,x6918,x6919,x6915,x69110,x69111,x6912)+E(f5(x6911,f5(f5(f28(x6912),x6913),f5(f5(f28(x6912),x6914),f6(f41(x6912,a1))))),f5(f5(x6915,x6913),x6914))
% 2.84/2.87 [692]~P4(x6921,x6926,x6927,x6928,x6925,x6929,x69210,x69211,x6922)+E(f5(x6921,f5(f5(f28(x6922),x6923),f5(f5(f28(x6922),x6924),f6(f41(x6922,a1))))),f5(f5(x6925,x6923),x6924))
% 2.84/2.87 [329]~P14(x3292)+~P14(x3291)+P14(f41(x3291,x3292))
% 2.84/2.87 [357]P5(x3572,x3571,x3573)+~P22(x3573)+P5(x3571,x3572,x3573)
% 2.84/2.87 [334]~P22(x3343)+E(x3341,x3342)+~E(f31(x3341,x3343),f31(x3342,x3343))
% 2.84/2.87 [370]P3(x3701,x3702)+~P3(x3703,x3702)+~P5(x3701,x3703,f41(x3702,a1))
% 2.84/2.87 [410]~P22(x4102)+~P5(x4101,x4103,x4102)+P5(f31(x4101,x4102),f31(x4103,x4102),f41(x4102,a1))
% 2.84/2.87 [424]E(x4241,x4242)+~P5(x4241,x4242,f41(x4243,a1))+~P5(x4242,x4241,f41(x4243,a1))
% 2.84/2.87 [442]~P2(x4423)+P5(x4421,f15(x4422,x4423),x4423)+~P24(f34(x4421,x4422,x4423))
% 2.84/2.87 [443]~P2(x4432)+P5(f16(x4431,x4432),x4433,x4432)+~P24(f34(x4433,x4431,x4432))
% 2.84/2.87 [444]~P22(x4443)+P5(x4441,x4442,x4443)+~P5(f31(x4441,x4443),f31(x4442,x4443),f41(x4443,a1))
% 2.84/2.87 [359]P5(x3591,x3592,x3593)+~P18(x3593)+E(f32(x3591,x3592,x3593),f6(f41(x3593,a1)))
% 2.84/2.87 [360]P5(x3602,x3603,x3601)+~P18(x3601)+E(f6(f41(x3601,a1)),f32(x3602,x3603,x3601))
% 2.84/2.87 [408]~P18(x4083)+~P5(x4081,x4082,x4083)+~E(f32(x4081,x4082,x4083),f6(f41(x4083,a1)))
% 2.84/2.87 [409]~P18(x4091)+~P5(x4092,x4093,x4091)+~E(f6(f41(x4091,a1)),f32(x4092,x4093,x4091))
% 2.84/2.87 [459]P3(x4591,x4592)+~P3(x4593,x4592)+~P3(f7(x4591,x4593,f41(x4592,a1)),x4592)
% 2.84/2.87 [581]~P3(x5812,x5813)+P8(x5811,x5812,x5813,x5813)+~P5(x5812,f5(f29(x5811,x5813,x5813),x5812),f41(x5813,a1))
% 2.84/2.87 [350]~P16(x3502)+E(x3501,f6(x3502))+~E(f5(f5(f25(x3502),x3503),x3501),f6(x3502))
% 2.84/2.87 [351]~P16(x3512)+E(x3511,f6(x3512))+~E(f5(f5(f25(x3512),x3511),x3513),f6(x3512))
% 2.84/2.87 [361]~P1(x3613)+P5(x3611,x3612,x3613)+~E(f5(f5(f20(x3613),x3611),x3612),x3611)
% 2.84/2.87 [362]~P17(x3623)+P5(x3621,x3622,x3623)+~E(f5(f5(f25(x3623),x3621),x3622),x3622)
% 2.84/2.87 [363]~P1(x3631)+~P5(x3633,x3632,x3631)+E(f5(f5(f20(x3631),x3632),x3633),x3633)
% 2.84/2.87 [364]~P1(x3641)+~P5(x3642,x3643,x3641)+E(f5(f5(f20(x3641),x3642),x3643),x3642)
% 2.84/2.87 [365]~P17(x3651)+~P5(x3652,x3653,x3651)+E(f5(f5(f25(x3651),x3652),x3653),x3653)
% 2.84/2.87 [366]~P17(x3661)+~P5(x3663,x3662,x3661)+E(f5(f5(f25(x3661),x3662),x3663),x3662)
% 2.84/2.87 [539]~P5(x5391,f5(f5(f28(x5392),x5393),f6(f41(x5392,a1))),f41(x5392,a1))+E(x5391,f6(f41(x5392,a1)))+E(x5391,f5(f5(f28(x5392),x5393),f6(f41(x5392,a1))))
% 2.84/2.87 [572]~P24(f5(f5(a40,x5721),x5723))+P24(f5(f5(a43,x5721),x5722))+P24(f5(f5(a44,f49(x5721,x5723,x5722)),x5723))
% 2.84/2.87 [622]P24(f5(f5(a43,x6221),x6222))+~P24(f5(f5(a40,x6221),x6223))+~P24(f5(f5(a47,f49(x6221,x6223,x6222)),x6222))
% 2.84/2.87 [495]~P3(x4953,x4951)+~P3(x4952,x4951)+P3(f5(f5(f25(f41(x4951,a1)),x4952),x4953),x4951)
% 2.84/2.87 [411]~P7(x4111,x4114,x4113)+P7(x4111,x4112,x4113)+~P7(x4114,x4112,x4113)
% 2.84/2.87 [385]~P20(x3854)+E(x3851,x3852)+~E(f7(x3853,x3853,x3854),f7(x3851,x3852,x3854))
% 2.84/2.87 [386]~P20(x3863)+E(x3861,x3862)+~E(f7(x3861,x3862,x3863),f7(x3864,x3864,x3863))
% 2.84/2.87 [394]~P5(x3943,x3941,f41(x3944,a1))+P24(f5(x3941,x3942))+~P24(f5(x3943,x3942))
% 2.84/2.87 [478]~P5(x4781,x4784,f41(x4783,a1))+~P5(x4784,x4782,f41(x4783,a1))+P5(x4781,x4782,f41(x4783,a1))
% 2.84/2.87 [509]~P5(x5094,x5092,f41(x5093,a1))+P24(f34(x5091,x5092,x5093))+~P24(f34(x5091,x5094,x5093))
% 2.84/2.87 [451]P7(x4511,x4512,x4513)+~P7(x4511,x4514,x4513)+~P5(x4512,x4514,f41(f37(x4513),a1))
% 2.84/2.87 [502]~P2(x5024)+E(f10(x5021,f8(x5023,x5024,x5022),x5022,x5024),x5023)+E(x5021,f6(f41(x5022,a1)))
% 2.84/2.87 [526]~P5(x5261,x5262,f41(x5264,a1))+~P5(x5263,x5261,f41(x5264,a1))+E(f7(x5261,f7(x5262,x5263,f41(x5264,a1)),f41(x5264,a1)),x5263)
% 2.84/2.87 [595]P3(x5951,x5952)+~P8(x5953,x5951,x5952,x5954)+~P3(f5(f29(x5953,x5952,x5954),x5951),x5954)
% 2.84/2.87 [425]~P17(x4252)+~P5(x4251,x4254,x4252)+P5(x4251,f5(f5(f25(x4252),x4253),x4254),x4252)
% 2.84/2.87 [426]~P17(x4262)+~P5(x4261,x4263,x4262)+P5(x4261,f5(f5(f25(x4262),x4263),x4264),x4262)
% 2.84/2.87 [427]~P1(x4271)+~P5(x4273,x4274,x4271)+P5(f5(f5(f20(x4271),x4272),x4273),x4274,x4271)
% 2.84/2.87 [428]~P1(x4281)+~P5(x4282,x4284,x4281)+P5(f5(f5(f20(x4281),x4282),x4283),x4284,x4281)
% 2.84/2.87 [465]~P1(x4653)+P5(x4651,x4652,x4653)+~P5(x4651,f5(f5(f20(x4653),x4654),x4652),x4653)
% 2.84/2.87 [467]~P1(x4673)+P5(x4671,x4672,x4673)+~P5(x4671,f5(f5(f20(x4673),x4672),x4674),x4673)
% 2.84/2.87 [469]~P17(x4693)+P5(x4691,x4692,x4693)+~P5(f5(f5(f25(x4693),x4694),x4691),x4692,x4693)
% 2.84/2.87 [471]~P17(x4713)+P5(x4711,x4712,x4713)+~P5(f5(f5(f25(x4713),x4711),x4714),x4712,x4713)
% 2.84/2.87 [524]P5(x5242,x5244,f41(x5243,a1))+P24(f34(x5241,x5242,x5243))+~P5(x5242,f5(f5(f28(x5243),x5241),x5244),f41(x5243,a1))
% 2.84/2.87 [527]~P5(x5273,x5274,f41(x5271,a1))+~P24(f34(x5272,x5274,x5271))+P5(f5(f5(f28(x5271),x5272),x5273),x5274,f41(x5271,a1))
% 2.84/2.87 [574]~P24(f34(x5741,x5744,x5743))+P24(f34(x5741,x5742,x5743))+P24(f34(x5741,f7(x5744,x5742,f41(x5743,a1)),x5743))
% 2.84/2.87 [633]P5(f7(x6331,f5(f5(f28(x6332),x6333),f6(f41(x6332,a1))),f41(x6332,a1)),x6334,f41(x6332,a1))+~P24(f34(x6333,x6331,x6332))+~P5(x6331,f5(f5(f28(x6332),x6333),x6334),f41(x6332,a1))
% 2.84/2.87 [647]~P5(f7(x6471,f5(f5(f28(x6472),x6473),f6(f41(x6472,a1))),f41(x6472,a1)),x6474,f41(x6472,a1))+~P24(f34(x6473,x6471,x6472))+P5(x6471,f5(f5(f28(x6472),x6473),x6474),f41(x6472,a1))
% 2.84/2.87 [504]E(x5041,x5042)+P24(f5(x5043,x5041))+~P24(f5(f5(f5(f28(x5044),x5042),x5043),x5041))
% 2.84/2.87 [546]~P5(x5461,x5463,f41(x5462,a1))+~P5(x5461,x5464,f41(x5462,a1))+P5(x5461,f5(f5(f20(f41(x5462,a1)),x5463),x5464),f41(x5462,a1))
% 2.84/2.87 [548]~P5(x5482,x5484,f41(x5481,a1))+~P5(x5483,x5484,f41(x5481,a1))+P5(f5(f5(f25(f41(x5481,a1)),x5482),x5483),x5484,f41(x5481,a1))
% 2.84/2.87 [549]E(x5491,x5492)+P24(f34(x5491,x5493,x5494))+~P24(f34(x5491,f5(f5(f28(x5494),x5492),x5493),x5494))
% 2.84/2.87 [551]~P24(f34(x5514,x5513,x5511))+~P24(f34(x5514,x5512,x5511))+~E(f5(f5(f20(f41(x5511,a1)),x5512),x5513),f6(f41(x5511,a1)))
% 2.84/2.87 [611]~P7(x6111,x6114,x6112)+P7(x6111,f5(f5(f28(f37(x6112)),x6113),x6114),x6112)+~P7(x6111,f5(f5(f28(f37(x6112)),x6113),f6(f41(f37(x6112),a1))),x6112)
% 2.84/2.87 [570]~P24(f5(x5703,x5704))+~P24(f5(x5702,x5704))+P24(f5(f5(f5(f20(f41(x5701,a1)),x5702),x5703),x5704))
% 2.84/2.87 [618]~P24(f5(x6184,x6181))+~P24(f34(x6181,x6183,x6182))+P24(f34(x6181,f5(f5(f20(f41(x6182,a1)),x6183),x6184),x6182))
% 2.84/2.87 [623]P24(f5(x6231,x6232))+P24(f5(x6233,x6232))+~P24(f5(f5(f5(f25(f41(x6234,a1)),x6231),x6233),x6232))
% 2.84/2.87 [625]~P24(f34(x6251,x6254,x6252))+~P24(f34(x6251,x6253,x6252))+P24(f34(x6251,f5(f5(f20(f41(x6252,a1)),x6253),x6254),x6252))
% 2.84/2.87 [643]P24(f34(x6431,x6432,x6433))+P24(f34(x6431,x6434,x6433))+~P24(f34(x6431,f5(f5(f25(f41(x6433,a1)),x6432),x6434),x6433))
% 2.84/2.87 [421]~P15(x4214)+P5(f5(x4211,x4212),f5(x4213,x4212),x4214)+~P5(x4211,x4213,f41(x4215,x4214))
% 2.84/2.87 [497]~P18(x4973)+P5(x4971,x4972,x4973)+P5(f32(x4971,x4972,x4973),f32(x4974,x4975,x4973),f41(x4973,a1))
% 2.84/2.87 [577]~P2(x5775)+P5(f5(x5771,x5772),f10(x5773,x5771,x5774,x5775),x5775)+~P24(f34(x5772,x5773,x5774))
% 2.84/2.87 [579]P8(x5791,x5792,x5793,x5794)+~P8(x5791,x5795,x5793,x5794)+~P5(x5792,x5795,f41(x5793,a1))
% 2.84/2.87 [431]~P10(x4314,x4311,x4315)+P24(f5(f5(x4311,x4312),x4313))+P24(f5(f5(x4314,x4313),x4312))
% 2.84/2.87 [433]~P10(x4331,x4334,x4335)+P24(f5(f5(x4331,x4333),x4332))+P24(f5(f5(x4331,x4332),x4333))
% 2.84/2.87 [491]~P10(x4911,x4912,x4913)+~P24(f5(f5(x4912,x4915),x4914))+~P24(f5(f5(x4912,x4914),x4915))
% 2.84/2.87 [492]~P10(x4921,x4922,x4923)+~P24(f5(f5(x4921,x4925),x4924))+~P24(f5(f5(x4922,x4924),x4925))
% 2.84/2.87 [538]P3(x5381,x5382)+~P3(x5383,x5384)+~P5(x5381,f5(f29(x5385,x5384,x5382),x5383),f41(x5382,a1))
% 2.84/2.87 [555]~P5(x5551,x5554,f41(x5553,a1))+~P5(x5555,x5552,f41(x5553,a1))+P5(f7(x5551,x5552,f41(x5553,a1)),f7(x5554,x5555,f41(x5553,a1)),f41(x5553,a1))
% 2.84/2.87 [569]~P24(f34(x5692,x5694,x5695))+E(f5(x5691,x5692),f6(f41(x5693,a1)))+~E(f10(x5694,x5691,x5695,f41(x5693,a1)),f6(f41(x5693,a1)))
% 2.84/2.87 [596]E(x5961,x5962)+E(x5961,x5963)+~E(f5(f5(f28(x5964),x5965),f5(f5(f28(x5964),x5961),f6(f41(x5964,a1)))),f5(f5(f28(x5964),x5963),f5(f5(f28(x5964),x5962),f6(f41(x5964,a1)))))
% 2.84/2.87 [597]E(x5971,x5972)+E(x5973,x5972)+~E(f5(f5(f28(x5974),x5973),f5(f5(f28(x5974),x5971),f6(f41(x5974,a1)))),f5(f5(f28(x5974),x5975),f5(f5(f28(x5974),x5972),f6(f41(x5974,a1)))))
% 2.84/2.87 [598]E(x5981,x5982)+E(x5983,x5982)+~E(f5(f5(f28(x5984),x5983),f5(f5(f28(x5984),x5981),f6(f41(x5984,a1)))),f5(f5(f28(x5984),x5982),f5(f5(f28(x5984),x5985),f6(f41(x5984,a1)))))
% 2.84/2.87 [599]E(x5991,x5992)+E(x5991,x5993)+~E(f5(f5(f28(x5994),x5991),f5(f5(f28(x5994),x5995),f6(f41(x5994,a1)))),f5(f5(f28(x5994),x5993),f5(f5(f28(x5994),x5992),f6(f41(x5994,a1)))))
% 2.84/2.87 [616]~P5(x6162,x6164,f41(x6161,a1))+~P5(x6163,x6165,f41(x6161,a1))+P5(f5(f5(f20(f41(x6161,a1)),x6162),x6163),f5(f5(f20(f41(x6161,a1)),x6164),x6165),f41(x6161,a1))
% 2.84/2.87 [617]~P5(x6172,x6174,f41(x6171,a1))+~P5(x6173,x6175,f41(x6171,a1))+P5(f5(f5(f25(f41(x6171,a1)),x6172),x6173),f5(f5(f25(f41(x6171,a1)),x6174),x6175),f41(x6171,a1))
% 2.84/2.87 [640]E(x6401,x6402)+~E(f5(f29(x6403,x6404,x6405),x6401),f5(f29(x6403,x6404,x6405),x6402))+~P8(x6403,f5(f5(f25(f41(x6404,a1)),x6401),x6402),x6404,x6405)
% 2.84/2.87 [663]~P8(x6631,x6634,x6632,x6635)+P8(x6631,f5(f5(f28(x6632),x6633),x6634),x6632,x6635)+P24(f34(f5(x6631,x6633),f5(f29(x6631,x6632,x6635),f7(x6634,f5(f5(f28(x6632),x6633),f6(f41(x6632,a1))),f41(x6632,a1))),x6635))
% 2.84/2.87 [607]~P5(f5(f29(x6071,x6076,x6074),x6075),x6073,f41(x6074,a1))+~P24(f34(x6072,x6075,x6076))+P24(f34(f5(x6071,x6072),x6073,x6074))
% 2.84/2.87 [641]P5(f5(x6411,x6412),x6413,f41(x6414,a1))+~P5(f10(x6415,x6411,x6416,f41(x6414,a1)),x6413,f41(x6414,a1))+~P24(f34(x6412,x6415,x6416))
% 2.84/2.87 [666]~P8(x6662,x6666,x6665,x6663)+P8(f17(x6661,x6662,x6663,x6664,x6665),x6666,x6665,x6664)+~P8(x6661,f5(f29(x6662,x6665,x6663),x6666),x6663,x6664)
% 2.84/2.87 [649]~P24(f34(x6496,x6491,x6493))+~P24(f5(f5(x6492,x6496),x6495))+P24(f5(f10(x6491,x6492,x6493,f41(x6494,a1)),x6495))
% 2.84/2.87 [652]~P24(f34(x6526,x6522,x6524))+~P24(f34(x6521,f5(x6523,x6526),x6525))+P24(f34(x6521,f10(x6522,x6523,x6524,f41(x6525,a1)),x6525))
% 2.84/2.87 [679]~P7(x6791,f5(f5(f28(f37(a2)),f21(x6795,x6793,x6796,a2)),f6(f41(f37(a2),a1))),a2)+P7(x6791,f5(f5(f28(f37(a2)),f21(x6792,x6793,x6794,a2)),f6(f41(f37(a2),a1))),a2)+~P24(f5(f5(x6794,f50(x6791,x6792,x6794,x6793)),f55(x6791,x6792,x6794,x6793,x6795,x6796)))
% 2.84/2.87 [680]~P7(x6801,f5(f5(f28(f37(a2)),f21(x6805,x6803,x6806,a2)),f6(f41(f37(a2),a1))),a2)+P7(x6801,f5(f5(f28(f37(a2)),f21(x6802,x6803,x6804,a2)),f6(f41(f37(a2),a1))),a2)+~P24(f5(f5(x6804,f51(x6801,x6802,x6804,x6803)),f53(x6801,x6802,x6804,x6803,x6805,x6806)))
% 2.84/2.87 [676]~P7(x6761,f5(f5(f28(f37(x6762)),f21(x6763,x6764,x6767,x6762)),f6(f41(f37(x6762),a1))),x6762)+P7(x6761,f5(f5(f28(f37(x6762)),f21(x6763,f14(x6764,x6765),x6766,x6762)),f6(f41(f37(x6762),a1))),x6762)+~P7(x6761,f5(f5(f28(f37(x6762)),f21(x6767,x6765,x6766,x6762)),f6(f41(f37(x6762),a1))),x6762)
% 2.84/2.87 [682]~P7(x6821,f5(f5(f28(f37(x6822)),f21(f22(x6823,x6824,x6822),x6825,x6827,x6822)),f6(f41(f37(x6822),a1))),x6822)+P7(x6821,f5(f5(f28(f37(x6822)),f21(x6823,f12(x6824,x6825,x6826),x6827,x6822)),f6(f41(f37(x6822),a1))),x6822)+~P7(x6821,f5(f5(f28(f37(x6822)),f21(f22(x6823,f17(a27,x6824,a1,a1,a39),x6822),x6826,x6827,x6822)),f6(f41(f37(x6822),a1))),x6822)
% 2.84/2.87 [689]~P4(x6896,x6893,x6891,x6897,x6898,x6899,x68910,x68911,x6895)+~P24(f34(x6892,x6894,x6895))+P24(f5(f5(x6891,x6892),f5(x6893,x6894)))
% 2.84/2.87 [690]~P4(x6902,x6906,x6901,x6907,x6908,x6909,x69010,x69011,x6905)+~P24(f34(x6904,x6903,x6905))+P24(f5(f5(x6901,f5(x6902,x6903)),x6904))
% 2.84/2.87 [406]~P22(x4062)+~P3(x4061,x4062)+E(x4061,f6(f41(x4062,a1)))+P24(f34(f18(x4061,x4062),x4061,x4062))
% 2.84/2.87 [407]~P22(x4072)+~P3(x4071,x4072)+E(x4071,f6(f41(x4072,a1)))+P24(f34(f19(x4071,x4072),x4071,x4072))
% 2.84/2.87 [389]~P5(x3892,x3891,x3893)+~P5(x3891,x3892,x3893)+E(x3891,x3892)+~P18(x3893)
% 2.84/2.87 [453]~P22(x4533)+~P3(x4532,x4533)+P5(x4531,f18(x4532,x4533),x4533)+~P24(f34(x4531,x4532,x4533))
% 2.84/2.87 [454]~P22(x4542)+~P3(x4541,x4542)+P5(f19(x4541,x4542),x4543,x4542)+~P24(f34(x4543,x4541,x4542))
% 2.84/2.87 [626]~P3(x6263,x6262)+~P8(x6261,x6263,x6262,x6262)+~P5(f5(f29(x6261,x6262,x6262),x6263),x6263,f41(x6262,a1))+E(f5(f29(x6261,x6262,x6262),x6263),x6263)
% 2.84/2.87 [537]~P1(x5371)+~P3(x5372,x5371)+~P24(f34(x5373,x5372,x5371))+P5(f35(f9(f20(x5371),x5372,x5371),x5371),x5373,x5371)
% 2.84/2.87 [418]~P18(x4183)+~P5(x4181,x4184,x4183)+P5(x4181,x4182,x4183)+~P5(x4184,x4182,x4183)
% 2.84/2.87 [419]~P23(x4193)+~P5(x4191,x4194,x4193)+P5(x4191,x4192,x4193)+~P5(x4194,x4192,x4193)
% 2.84/2.87 [486]~P1(x4862)+~P5(x4861,x4864,x4862)+~P5(x4861,x4863,x4862)+P5(x4861,f5(f5(f20(x4862),x4863),x4864),x4862)
% 2.84/2.87 [489]~P17(x4891)+~P5(x4893,x4894,x4891)+~P5(x4892,x4894,x4891)+P5(f5(f5(f25(x4891),x4892),x4893),x4894,x4891)
% 2.84/2.87 [501]E(x5011,x5012)+P24(f34(x5013,x5011,x5014))+P24(f34(x5013,x5012,x5014))+~E(f5(f5(f28(x5014),x5013),x5011),f5(f5(f28(x5014),x5013),x5012))
% 2.84/2.87 [476]~P21(x4763)+~P5(x4765,x4764,x4763)+P5(x4761,x4762,x4763)+~E(f7(x4764,x4765,x4763),f7(x4762,x4761,x4763))
% 2.84/2.87 [477]~P21(x4773)+~P5(x4775,x4774,x4773)+P5(x4771,x4772,x4773)+~E(f7(x4772,x4771,x4773),f7(x4774,x4775,x4773))
% 2.84/2.87 [522]~P18(x5223)+~P5(x5224,x5221,x5223)+~P5(x5222,x5225,x5223)+P5(f32(x5221,x5222,x5223),f32(x5224,x5225,x5223),f41(x5223,a1))
% 2.84/2.87 [543]~P18(x5433)+P5(x5431,x5432,x5433)+~P5(x5434,x5431,x5433)+~P5(f32(x5434,x5431,x5433),f32(x5435,x5432,x5433),f41(x5433,a1))
% 2.84/2.87 [544]~P18(x5443)+P5(x5441,x5442,x5443)+~P5(x5442,x5444,x5443)+~P5(f32(x5442,x5444,x5443),f32(x5441,x5445,x5443),f41(x5443,a1))
% 2.84/2.87 [437]E(x4371,x4372)+~P10(x4374,x4373,x4375)+P24(f5(f5(x4373,x4371),x4372))+P24(f5(f5(x4373,x4372),x4371))
% 2.84/2.87 [461]E(x4611,x4612)+~P10(x4614,x4613,x4615)+~P24(f5(f5(x4614,x4611),x4612))+P24(f5(f5(x4613,x4611),x4612))
% 2.84/2.87 [635]~P3(x6354,x6355)+P3(f5(x6351,x6352),x6353)+~P24(f34(x6352,x6354,x6355))+~P3(f10(x6354,x6351,x6355,f41(x6353,a1)),x6353)
% 2.84/2.87 [668]~P8(x6681,x6684,x6682,x6685)+~P8(x6681,x6683,x6682,x6685)+P8(x6681,f5(f5(f25(f41(x6682,a1)),x6683),x6684),x6682,x6685)+~E(f5(f5(f20(f41(x6685,a1)),f5(f29(x6681,x6682,x6685),f7(x6683,x6684,f41(x6682,a1)))),f5(f29(x6681,x6682,x6685),f7(x6684,x6683,f41(x6682,a1)))),f6(f41(x6685,a1)))
% 2.84/2.87 [650]~P8(x6501,x6506,x6502,x6503)+~P5(x6504,x6506,f41(x6502,a1))+~P5(x6505,x6506,f41(x6502,a1))+E(f7(f5(f29(x6501,x6502,x6503),x6504),f5(f29(x6501,x6502,x6503),x6505),f41(x6503,a1)),f5(f29(x6501,x6502,x6503),f7(x6504,x6505,f41(x6502,a1))))
% 2.84/2.87 [656]~P8(x6562,x6566,x6563,x6561)+~P5(x6564,x6566,f41(x6563,a1))+~P5(x6565,x6566,f41(x6563,a1))+E(f5(f5(f20(f41(x6561,a1)),f5(f29(x6562,x6563,x6561),x6564)),f5(f29(x6562,x6563,x6561),x6565)),f5(f29(x6562,x6563,x6561),f5(f5(f20(f41(x6563,a1)),x6564),x6565)))
% 2.84/2.87 [677]P7(x6773,f5(f5(f28(f37(a2)),f21(x6774,x6776,x6775,a2)),f6(f41(f37(a2),a1))),a2)+~P7(x6773,f5(f5(f28(f37(a2)),f21(x6777,x6776,x6771,a2)),f6(f41(f37(a2),a1))),a2)+~P24(f5(f5(x6777,x6772),f52(x6773,x6774,x6775,x6776)))+P24(f5(f5(x6771,x6772),f53(x6773,x6774,x6775,x6776,x6777,x6771)))
% 2.84/2.87 [678]P7(x6783,f5(f5(f28(f37(a2)),f21(x6784,x6786,x6785,a2)),f6(f41(f37(a2),a1))),a2)+~P7(x6783,f5(f5(f28(f37(a2)),f21(x6787,x6786,x6781,a2)),f6(f41(f37(a2),a1))),a2)+~P24(f5(f5(x6787,x6782),f54(x6783,x6784,x6785,x6786)))+P24(f5(f5(x6781,x6782),f55(x6783,x6784,x6785,x6786,x6787,x6781)))
% 2.84/2.87 [455]~P22(x4552)+~P3(x4553,x4552)+P5(f19(x4553,x4552),f19(x4551,x4552),x4552)+~P5(x4551,x4553,f41(x4552,a1))+E(x4551,f6(f41(x4552,a1)))
% 2.84/2.87 [456]~P22(x4562)+~P3(x4563,x4562)+P5(f18(x4561,x4562),f18(x4563,x4562),x4562)+~P5(x4561,x4563,f41(x4562,a1))+E(x4561,f6(f41(x4562,a1)))
% 2.84/2.87 [591]~P3(x5911,x5912)+~P9(x5913,x5912)+P24(f34(x5914,x5911,x5912))+E(x5911,f6(f41(x5912,a1)))+E(f35(f9(x5913,f5(f5(f28(x5912),x5914),x5911),x5912),x5912),f5(f5(x5913,x5914),f35(f9(x5913,x5911,x5912),x5912)))
% 2.84/2.87 [588]E(x5881,x5882)+~P8(x5883,x5884,x5885,x5886)+~E(f5(x5883,x5881),f5(x5883,x5882))+~P24(f34(x5882,x5884,x5885))+~P24(f34(x5881,x5884,x5885))
% 2.84/2.87 [589]~P1(x5892)+~P3(x5891,x5892)+P5(x5893,x5894,x5892)+~P24(f34(x5894,x5891,x5892))+~P5(x5893,f35(f9(f20(x5892),x5891,x5892),x5892),x5892)+E(x5891,f6(f41(x5892,a1)))
% 2.84/2.87 [654]~P3(x6541,x6542)+~P3(x6543,x6542)+~P9(x6544,x6542)+E(x6541,f6(f41(x6542,a1)))+E(x6543,f6(f41(x6542,a1)))+~E(f5(f5(f20(f41(x6542,a1)),x6543),x6541),f6(f41(x6542,a1)))+E(f5(f5(x6544,f35(f9(x6544,x6543,x6542),x6542)),f35(f9(x6544,x6541,x6542),x6542)),f35(f9(x6544,f5(f5(f25(f41(x6542,a1)),x6543),x6541),x6542),x6542))
% 2.84/2.87 %EqnAxiom
% 2.84/2.87 [1]E(x11,x11)
% 2.84/2.87 [2]E(x22,x21)+~E(x21,x22)
% 2.84/2.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.84/2.87 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 2.84/2.87 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 2.84/2.87 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 2.84/2.87 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 2.84/2.87 [8]~E(x81,x82)+E(f41(x81,x83),f41(x82,x83))
% 2.84/2.87 [9]~E(x91,x92)+E(f41(x93,x91),f41(x93,x92))
% 2.84/2.87 [10]~E(x101,x102)+E(f8(x101,x103,x104),f8(x102,x103,x104))
% 2.84/2.87 [11]~E(x111,x112)+E(f8(x113,x111,x114),f8(x113,x112,x114))
% 2.84/2.87 [12]~E(x121,x122)+E(f8(x123,x124,x121),f8(x123,x124,x122))
% 2.84/2.87 [13]~E(x131,x132)+E(f28(x131),f28(x132))
% 2.84/2.87 [14]~E(x141,x142)+E(f10(x141,x143,x144,x145),f10(x142,x143,x144,x145))
% 2.84/2.87 [15]~E(x151,x152)+E(f10(x153,x151,x154,x155),f10(x153,x152,x154,x155))
% 2.84/2.87 [16]~E(x161,x162)+E(f10(x163,x164,x161,x165),f10(x163,x164,x162,x165))
% 2.84/2.87 [17]~E(x171,x172)+E(f10(x173,x174,x175,x171),f10(x173,x174,x175,x172))
% 2.84/2.87 [18]~E(x181,x182)+E(f20(x181),f20(x182))
% 2.84/2.87 [19]~E(x191,x192)+E(f14(x191,x193),f14(x192,x193))
% 2.84/2.87 [20]~E(x201,x202)+E(f14(x203,x201),f14(x203,x202))
% 2.84/2.87 [21]~E(x211,x212)+E(f31(x211,x213),f31(x212,x213))
% 2.84/2.87 [22]~E(x221,x222)+E(f31(x223,x221),f31(x223,x222))
% 2.84/2.87 [23]~E(x231,x232)+E(f7(x231,x233,x234),f7(x232,x233,x234))
% 2.84/2.87 [24]~E(x241,x242)+E(f7(x243,x241,x244),f7(x243,x242,x244))
% 2.84/2.87 [25]~E(x251,x252)+E(f7(x253,x254,x251),f7(x253,x254,x252))
% 2.84/2.87 [26]~E(x261,x262)+E(f34(x261,x263,x264),f34(x262,x263,x264))
% 2.84/2.87 [27]~E(x271,x272)+E(f34(x273,x271,x274),f34(x273,x272,x274))
% 2.84/2.87 [28]~E(x281,x282)+E(f34(x283,x284,x281),f34(x283,x284,x282))
% 2.84/2.87 [29]~E(x291,x292)+E(f25(x291),f25(x292))
% 2.84/2.87 [30]~E(x301,x302)+E(f29(x301,x303,x304),f29(x302,x303,x304))
% 2.84/2.87 [31]~E(x311,x312)+E(f29(x313,x311,x314),f29(x313,x312,x314))
% 2.84/2.87 [32]~E(x321,x322)+E(f29(x323,x324,x321),f29(x323,x324,x322))
% 2.84/2.87 [33]~E(x331,x332)+E(f33(x331,x333,x334),f33(x332,x333,x334))
% 2.84/2.87 [34]~E(x341,x342)+E(f33(x343,x341,x344),f33(x343,x342,x344))
% 2.84/2.87 [35]~E(x351,x352)+E(f33(x353,x354,x351),f33(x353,x354,x352))
% 2.84/2.87 [36]~E(x361,x362)+E(f32(x361,x363,x364),f32(x362,x363,x364))
% 2.84/2.87 [37]~E(x371,x372)+E(f32(x373,x371,x374),f32(x373,x372,x374))
% 2.84/2.87 [38]~E(x381,x382)+E(f32(x383,x384,x381),f32(x383,x384,x382))
% 2.84/2.87 [39]~E(x391,x392)+E(f24(x391,x393,x394,x395),f24(x392,x393,x394,x395))
% 2.84/2.87 [40]~E(x401,x402)+E(f24(x403,x401,x404,x405),f24(x403,x402,x404,x405))
% 2.84/2.87 [41]~E(x411,x412)+E(f24(x413,x414,x411,x415),f24(x413,x414,x412,x415))
% 2.84/2.87 [42]~E(x421,x422)+E(f24(x423,x424,x425,x421),f24(x423,x424,x425,x422))
% 2.84/2.87 [43]~E(x431,x432)+E(f37(x431),f37(x432))
% 2.84/2.87 [44]~E(x441,x442)+E(f4(x441,x443,x444,x445,x446),f4(x442,x443,x444,x445,x446))
% 2.84/2.87 [45]~E(x451,x452)+E(f4(x453,x451,x454,x455,x456),f4(x453,x452,x454,x455,x456))
% 2.84/2.87 [46]~E(x461,x462)+E(f4(x463,x464,x461,x465,x466),f4(x463,x464,x462,x465,x466))
% 2.84/2.87 [47]~E(x471,x472)+E(f4(x473,x474,x475,x471,x476),f4(x473,x474,x475,x472,x476))
% 2.84/2.87 [48]~E(x481,x482)+E(f4(x483,x484,x485,x486,x481),f4(x483,x484,x485,x486,x482))
% 2.84/2.87 [49]~E(x491,x492)+E(f21(x491,x493,x494,x495),f21(x492,x493,x494,x495))
% 2.84/2.87 [50]~E(x501,x502)+E(f21(x503,x501,x504,x505),f21(x503,x502,x504,x505))
% 2.84/2.87 [51]~E(x511,x512)+E(f21(x513,x514,x511,x515),f21(x513,x514,x512,x515))
% 2.84/2.87 [52]~E(x521,x522)+E(f21(x523,x524,x525,x521),f21(x523,x524,x525,x522))
% 2.84/2.87 [53]~E(x531,x532)+E(f22(x531,x533,x534),f22(x532,x533,x534))
% 2.84/2.87 [54]~E(x541,x542)+E(f22(x543,x541,x544),f22(x543,x542,x544))
% 2.84/2.87 [55]~E(x551,x552)+E(f22(x553,x554,x551),f22(x553,x554,x552))
% 2.84/2.87 [56]~E(x561,x562)+E(f49(x561,x563,x564),f49(x562,x563,x564))
% 2.84/2.87 [57]~E(x571,x572)+E(f49(x573,x571,x574),f49(x573,x572,x574))
% 2.84/2.87 [58]~E(x581,x582)+E(f49(x583,x584,x581),f49(x583,x584,x582))
% 2.84/2.87 [59]~E(x591,x592)+E(f12(x591,x593,x594),f12(x592,x593,x594))
% 2.84/2.87 [60]~E(x601,x602)+E(f12(x603,x601,x604),f12(x603,x602,x604))
% 2.84/2.87 [61]~E(x611,x612)+E(f12(x613,x614,x611),f12(x613,x614,x612))
% 2.84/2.87 [62]~E(x621,x622)+E(f26(x621,x623),f26(x622,x623))
% 2.84/2.87 [63]~E(x631,x632)+E(f26(x633,x631),f26(x633,x632))
% 2.84/2.87 [64]~E(x641,x642)+E(f16(x641,x643),f16(x642,x643))
% 2.84/2.87 [65]~E(x651,x652)+E(f16(x653,x651),f16(x653,x652))
% 2.84/2.87 [66]~E(x661,x662)+E(f9(x661,x663,x664),f9(x662,x663,x664))
% 2.84/2.87 [67]~E(x671,x672)+E(f9(x673,x671,x674),f9(x673,x672,x674))
% 2.84/2.87 [68]~E(x681,x682)+E(f9(x683,x684,x681),f9(x683,x684,x682))
% 2.84/2.87 [69]~E(x691,x692)+E(f30(x691,x693),f30(x692,x693))
% 2.84/2.87 [70]~E(x701,x702)+E(f30(x703,x701),f30(x703,x702))
% 2.84/2.87 [71]~E(x711,x712)+E(f23(x711,x713,x714,x715),f23(x712,x713,x714,x715))
% 2.84/2.87 [72]~E(x721,x722)+E(f23(x723,x721,x724,x725),f23(x723,x722,x724,x725))
% 2.84/2.87 [73]~E(x731,x732)+E(f23(x733,x734,x731,x735),f23(x733,x734,x732,x735))
% 2.84/2.87 [74]~E(x741,x742)+E(f23(x743,x744,x745,x741),f23(x743,x744,x745,x742))
% 2.84/2.87 [75]~E(x751,x752)+E(f18(x751,x753),f18(x752,x753))
% 2.84/2.87 [76]~E(x761,x762)+E(f18(x763,x761),f18(x763,x762))
% 2.84/2.87 [77]~E(x771,x772)+E(f17(x771,x773,x774,x775,x776),f17(x772,x773,x774,x775,x776))
% 2.84/2.87 [78]~E(x781,x782)+E(f17(x783,x781,x784,x785,x786),f17(x783,x782,x784,x785,x786))
% 2.84/2.87 [79]~E(x791,x792)+E(f17(x793,x794,x791,x795,x796),f17(x793,x794,x792,x795,x796))
% 2.84/2.87 [80]~E(x801,x802)+E(f17(x803,x804,x805,x801,x806),f17(x803,x804,x805,x802,x806))
% 2.84/2.87 [81]~E(x811,x812)+E(f17(x813,x814,x815,x816,x811),f17(x813,x814,x815,x816,x812))
% 2.84/2.87 [82]~E(x821,x822)+E(f15(x821,x823),f15(x822,x823))
% 2.84/2.87 [83]~E(x831,x832)+E(f15(x833,x831),f15(x833,x832))
% 2.84/2.87 [84]~E(x841,x842)+E(f53(x841,x843,x844,x845,x846,x847),f53(x842,x843,x844,x845,x846,x847))
% 2.84/2.87 [85]~E(x851,x852)+E(f53(x853,x851,x854,x855,x856,x857),f53(x853,x852,x854,x855,x856,x857))
% 2.84/2.87 [86]~E(x861,x862)+E(f53(x863,x864,x861,x865,x866,x867),f53(x863,x864,x862,x865,x866,x867))
% 2.84/2.87 [87]~E(x871,x872)+E(f53(x873,x874,x875,x871,x876,x877),f53(x873,x874,x875,x872,x876,x877))
% 2.84/2.87 [88]~E(x881,x882)+E(f53(x883,x884,x885,x886,x881,x887),f53(x883,x884,x885,x886,x882,x887))
% 2.84/2.87 [89]~E(x891,x892)+E(f53(x893,x894,x895,x896,x897,x891),f53(x893,x894,x895,x896,x897,x892))
% 2.84/2.87 [90]~E(x901,x902)+E(f13(x901,x903),f13(x902,x903))
% 2.84/2.87 [91]~E(x911,x912)+E(f13(x913,x911),f13(x913,x912))
% 2.84/2.87 [92]~E(x921,x922)+E(f35(x921,x923),f35(x922,x923))
% 2.84/2.87 [93]~E(x931,x932)+E(f35(x933,x931),f35(x933,x932))
% 2.84/2.87 [94]~E(x941,x942)+E(f55(x941,x943,x944,x945,x946,x947),f55(x942,x943,x944,x945,x946,x947))
% 2.84/2.87 [95]~E(x951,x952)+E(f55(x953,x951,x954,x955,x956,x957),f55(x953,x952,x954,x955,x956,x957))
% 2.84/2.87 [96]~E(x961,x962)+E(f55(x963,x964,x961,x965,x966,x967),f55(x963,x964,x962,x965,x966,x967))
% 2.84/2.87 [97]~E(x971,x972)+E(f55(x973,x974,x975,x971,x976,x977),f55(x973,x974,x975,x972,x976,x977))
% 2.84/2.87 [98]~E(x981,x982)+E(f55(x983,x984,x985,x986,x981,x987),f55(x983,x984,x985,x986,x982,x987))
% 2.84/2.87 [99]~E(x991,x992)+E(f55(x993,x994,x995,x996,x997,x991),f55(x993,x994,x995,x996,x997,x992))
% 2.84/2.87 [100]~E(x1001,x1002)+E(f50(x1001,x1003,x1004,x1005),f50(x1002,x1003,x1004,x1005))
% 2.84/2.87 [101]~E(x1011,x1012)+E(f50(x1013,x1011,x1014,x1015),f50(x1013,x1012,x1014,x1015))
% 2.84/2.87 [102]~E(x1021,x1022)+E(f50(x1023,x1024,x1021,x1025),f50(x1023,x1024,x1022,x1025))
% 2.84/2.87 [103]~E(x1031,x1032)+E(f50(x1033,x1034,x1035,x1031),f50(x1033,x1034,x1035,x1032))
% 2.84/2.87 [104]~E(x1041,x1042)+E(f19(x1041,x1043),f19(x1042,x1043))
% 2.84/2.87 [105]~E(x1051,x1052)+E(f19(x1053,x1051),f19(x1053,x1052))
% 2.84/2.87 [106]~E(x1061,x1062)+E(f54(x1061,x1063,x1064,x1065),f54(x1062,x1063,x1064,x1065))
% 2.84/2.87 [107]~E(x1071,x1072)+E(f54(x1073,x1071,x1074,x1075),f54(x1073,x1072,x1074,x1075))
% 2.84/2.87 [108]~E(x1081,x1082)+E(f54(x1083,x1084,x1081,x1085),f54(x1083,x1084,x1082,x1085))
% 2.84/2.87 [109]~E(x1091,x1092)+E(f54(x1093,x1094,x1095,x1091),f54(x1093,x1094,x1095,x1092))
% 2.84/2.87 [110]~E(x1101,x1102)+E(f52(x1101,x1103,x1104,x1105),f52(x1102,x1103,x1104,x1105))
% 2.84/2.87 [111]~E(x1111,x1112)+E(f52(x1113,x1111,x1114,x1115),f52(x1113,x1112,x1114,x1115))
% 2.84/2.87 [112]~E(x1121,x1122)+E(f52(x1123,x1124,x1121,x1125),f52(x1123,x1124,x1122,x1125))
% 2.84/2.87 [113]~E(x1131,x1132)+E(f52(x1133,x1134,x1135,x1131),f52(x1133,x1134,x1135,x1132))
% 2.84/2.87 [114]~E(x1141,x1142)+E(f51(x1141,x1143,x1144,x1145),f51(x1142,x1143,x1144,x1145))
% 2.84/2.87 [115]~E(x1151,x1152)+E(f51(x1153,x1151,x1154,x1155),f51(x1153,x1152,x1154,x1155))
% 2.84/2.87 [116]~E(x1161,x1162)+E(f51(x1163,x1164,x1161,x1165),f51(x1163,x1164,x1162,x1165))
% 2.84/2.87 [117]~E(x1171,x1172)+E(f51(x1173,x1174,x1175,x1171),f51(x1173,x1174,x1175,x1172))
% 2.84/2.87 [118]~P1(x1181)+P1(x1182)+~E(x1181,x1182)
% 2.84/2.87 [119]~P2(x1191)+P2(x1192)+~E(x1191,x1192)
% 2.84/2.87 [120]~P11(x1201)+P11(x1202)+~E(x1201,x1202)
% 2.84/2.87 [121]~P12(x1211)+P12(x1212)+~E(x1211,x1212)
% 2.84/2.87 [122]~P17(x1221)+P17(x1222)+~E(x1221,x1222)
% 2.84/2.87 [123]~P13(x1231)+P13(x1232)+~E(x1231,x1232)
% 2.84/2.87 [124]~P18(x1241)+P18(x1242)+~E(x1241,x1242)
% 2.84/2.87 [125]~P14(x1251)+P14(x1252)+~E(x1251,x1252)
% 2.84/2.87 [126]~P15(x1261)+P15(x1262)+~E(x1261,x1262)
% 2.84/2.87 [127]~P16(x1271)+P16(x1272)+~E(x1271,x1272)
% 2.84/2.87 [128]~P19(x1281)+P19(x1282)+~E(x1281,x1282)
% 2.84/2.87 [129]~P23(x1291)+P23(x1292)+~E(x1291,x1292)
% 2.84/2.87 [130]P3(x1302,x1303)+~E(x1301,x1302)+~P3(x1301,x1303)
% 2.84/2.87 [131]P3(x1313,x1312)+~E(x1311,x1312)+~P3(x1313,x1311)
% 2.84/2.87 [132]P5(x1322,x1323,x1324)+~E(x1321,x1322)+~P5(x1321,x1323,x1324)
% 2.84/2.87 [133]P5(x1333,x1332,x1334)+~E(x1331,x1332)+~P5(x1333,x1331,x1334)
% 2.84/2.87 [134]P5(x1343,x1344,x1342)+~E(x1341,x1342)+~P5(x1343,x1344,x1341)
% 2.84/2.87 [135]~P24(x1351)+P24(x1352)+~E(x1351,x1352)
% 2.84/2.87 [136]P6(x1362,x1363,x1364)+~E(x1361,x1362)+~P6(x1361,x1363,x1364)
% 2.84/2.87 [137]P6(x1373,x1372,x1374)+~E(x1371,x1372)+~P6(x1373,x1371,x1374)
% 2.84/2.87 [138]P6(x1383,x1384,x1382)+~E(x1381,x1382)+~P6(x1383,x1384,x1381)
% 2.84/2.87 [139]P10(x1392,x1393,x1394)+~E(x1391,x1392)+~P10(x1391,x1393,x1394)
% 2.84/2.87 [140]P10(x1403,x1402,x1404)+~E(x1401,x1402)+~P10(x1403,x1401,x1404)
% 2.84/2.87 [141]P10(x1413,x1414,x1412)+~E(x1411,x1412)+~P10(x1413,x1414,x1411)
% 2.84/2.87 [142]P7(x1422,x1423,x1424)+~E(x1421,x1422)+~P7(x1421,x1423,x1424)
% 2.84/2.87 [143]P7(x1433,x1432,x1434)+~E(x1431,x1432)+~P7(x1433,x1431,x1434)
% 2.84/2.87 [144]P7(x1443,x1444,x1442)+~E(x1441,x1442)+~P7(x1443,x1444,x1441)
% 2.84/2.87 [145]~P20(x1451)+P20(x1452)+~E(x1451,x1452)
% 2.84/2.87 [146]~P22(x1461)+P22(x1462)+~E(x1461,x1462)
% 2.84/2.87 [147]P8(x1472,x1473,x1474,x1475)+~E(x1471,x1472)+~P8(x1471,x1473,x1474,x1475)
% 2.84/2.87 [148]P8(x1483,x1482,x1484,x1485)+~E(x1481,x1482)+~P8(x1483,x1481,x1484,x1485)
% 2.84/2.87 [149]P8(x1493,x1494,x1492,x1495)+~E(x1491,x1492)+~P8(x1493,x1494,x1491,x1495)
% 2.84/2.87 [150]P8(x1503,x1504,x1505,x1502)+~E(x1501,x1502)+~P8(x1503,x1504,x1505,x1501)
% 2.84/2.87 [151]P4(x1512,x1513,x1514,x1515,x1516,x1517,x1518,x1519,x15110)+~E(x1511,x1512)+~P4(x1511,x1513,x1514,x1515,x1516,x1517,x1518,x1519,x15110)
% 2.84/2.87 [152]P4(x1523,x1522,x1524,x1525,x1526,x1527,x1528,x1529,x15210)+~E(x1521,x1522)+~P4(x1523,x1521,x1524,x1525,x1526,x1527,x1528,x1529,x15210)
% 2.84/2.87 [153]P4(x1533,x1534,x1532,x1535,x1536,x1537,x1538,x1539,x15310)+~E(x1531,x1532)+~P4(x1533,x1534,x1531,x1535,x1536,x1537,x1538,x1539,x15310)
% 2.84/2.87 [154]P4(x1543,x1544,x1545,x1542,x1546,x1547,x1548,x1549,x15410)+~E(x1541,x1542)+~P4(x1543,x1544,x1545,x1541,x1546,x1547,x1548,x1549,x15410)
% 2.84/2.87 [155]P4(x1553,x1554,x1555,x1556,x1552,x1557,x1558,x1559,x15510)+~E(x1551,x1552)+~P4(x1553,x1554,x1555,x1556,x1551,x1557,x1558,x1559,x15510)
% 2.84/2.87 [156]P4(x1563,x1564,x1565,x1566,x1567,x1562,x1568,x1569,x15610)+~E(x1561,x1562)+~P4(x1563,x1564,x1565,x1566,x1567,x1561,x1568,x1569,x15610)
% 2.84/2.87 [157]P4(x1573,x1574,x1575,x1576,x1577,x1578,x1572,x1579,x15710)+~E(x1571,x1572)+~P4(x1573,x1574,x1575,x1576,x1577,x1578,x1571,x1579,x15710)
% 2.84/2.87 [158]P4(x1583,x1584,x1585,x1586,x1587,x1588,x1589,x1582,x15810)+~E(x1581,x1582)+~P4(x1583,x1584,x1585,x1586,x1587,x1588,x1589,x1581,x15810)
% 2.84/2.87 [159]P4(x1593,x1594,x1595,x1596,x1597,x1598,x1599,x15910,x1592)+~E(x1591,x1592)+~P4(x1593,x1594,x1595,x1596,x1597,x1598,x1599,x15910,x1591)
% 2.84/2.87 [160]P9(x1602,x1603)+~E(x1601,x1602)+~P9(x1601,x1603)
% 2.84/2.87 [161]P9(x1613,x1612)+~E(x1611,x1612)+~P9(x1613,x1611)
% 2.84/2.87 [162]~P21(x1621)+P21(x1622)+~E(x1621,x1622)
% 2.84/2.87
% 2.84/2.87 %-------------------------------------------
% 2.84/2.87 cnf(697,plain,
% 2.84/2.87 (P24(f5(f5(f5(f28(x6971),x6972),x6973),x6972))),
% 2.84/2.87 inference(rename_variables,[],[205])).
% 2.84/2.87 cnf(699,plain,
% 2.84/2.87 (P7(x6991,x6991,x6992)),
% 2.84/2.87 inference(scs_inference,[],[170,191,179,205,2,317,405,391])).
% 2.84/2.87 cnf(700,plain,
% 2.84/2.87 (P5(x7001,x7001,f41(x7002,a1))),
% 2.84/2.87 inference(rename_variables,[],[179])).
% 2.84/2.87 cnf(703,plain,
% 2.84/2.87 (E(f5(f3(x7031),x7032),x7032)),
% 2.84/2.87 inference(rename_variables,[],[176])).
% 2.84/2.87 cnf(706,plain,
% 2.84/2.87 (~E(f5(f5(f28(x7061),x7062),x7063),f6(f41(x7061,a1)))),
% 2.84/2.87 inference(rename_variables,[],[310])).
% 2.84/2.87 cnf(709,plain,
% 2.84/2.87 (~E(f5(f5(f28(x7091),x7092),x7093),f6(f41(x7091,a1)))),
% 2.84/2.87 inference(rename_variables,[],[310])).
% 2.84/2.87 cnf(711,plain,
% 2.84/2.87 (E(x7111,f26(f5(f5(f28(x7112),x7111),f6(f41(x7112,a1))),x7112))),
% 2.84/2.87 inference(scs_inference,[],[170,191,179,176,205,310,706,264,2,317,405,391,348,684,683,571])).
% 2.84/2.87 cnf(714,plain,
% 2.84/2.87 (~E(f5(f5(f28(x7141),x7142),x7143),f6(f41(x7141,a1)))),
% 2.84/2.87 inference(rename_variables,[],[310])).
% 2.84/2.87 cnf(717,plain,
% 2.84/2.87 (~E(f5(f5(f28(x7171),x7172),x7173),f6(f41(x7171,a1)))),
% 2.84/2.87 inference(rename_variables,[],[310])).
% 2.84/2.87 cnf(724,plain,
% 2.84/2.87 (P5(x7241,f5(f5(f28(x7242),x7243),x7241),f41(x7242,a1))),
% 2.84/2.87 inference(rename_variables,[],[193])).
% 2.84/2.87 cnf(727,plain,
% 2.84/2.87 (P5(x7271,f5(f5(f28(x7272),x7273),x7271),f41(x7272,a1))),
% 2.84/2.87 inference(rename_variables,[],[193])).
% 2.84/2.88 cnf(730,plain,
% 2.84/2.88 (P5(f7(x7301,x7302,f41(x7303,a1)),x7301,f41(x7303,a1))),
% 2.84/2.88 inference(rename_variables,[],[204])).
% 2.84/2.88 cnf(733,plain,
% 2.84/2.88 (P5(f7(x7331,x7332,f41(x7333,a1)),x7331,f41(x7333,a1))),
% 2.84/2.88 inference(rename_variables,[],[204])).
% 2.84/2.88 cnf(736,plain,
% 2.84/2.88 (P5(x7361,f5(f5(f28(x7362),x7363),x7361),f41(x7362,a1))),
% 2.84/2.88 inference(rename_variables,[],[193])).
% 2.84/2.88 cnf(755,plain,
% 2.84/2.88 (P5(x7551,x7551,f41(x7552,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(757,plain,
% 2.84/2.88 (P8(f3(f34(a45,f6(f41(a2,a1)),a2)),x7571,f34(a45,f6(f41(a2,a1)),a2),f5(f6(f41(a2,a1)),a45))),
% 2.84/2.88 inference(scs_inference,[],[170,191,207,179,700,176,204,730,311,193,724,727,736,216,205,697,310,706,709,714,717,217,267,264,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150])).
% 2.84/2.88 cnf(765,plain,
% 2.84/2.88 (E(f5(f3(x7651),x7652),x7652)),
% 2.84/2.88 inference(rename_variables,[],[176])).
% 2.84/2.88 cnf(767,plain,
% 2.84/2.88 (P5(f7(x7671,x7672,f41(x7673,a1)),x7671,f41(x7673,a1))),
% 2.84/2.88 inference(rename_variables,[],[204])).
% 2.84/2.88 cnf(769,plain,
% 2.84/2.88 (P5(x7691,x7691,f41(x7692,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(773,plain,
% 2.84/2.88 (E(f5(f3(x7731),x7732),x7732)),
% 2.84/2.88 inference(rename_variables,[],[176])).
% 2.84/2.88 cnf(775,plain,
% 2.84/2.88 (P5(f7(x7751,x7752,f41(x7753,a1)),x7751,f41(x7753,a1))),
% 2.84/2.88 inference(rename_variables,[],[204])).
% 2.84/2.88 cnf(779,plain,
% 2.84/2.88 (P5(f6(f41(x7791,a1)),x7792,f41(x7791,a1))),
% 2.84/2.88 inference(rename_variables,[],[184])).
% 2.84/2.88 cnf(782,plain,
% 2.84/2.88 (P5(f7(x7821,x7822,f41(x7823,a1)),x7821,f41(x7823,a1))),
% 2.84/2.88 inference(rename_variables,[],[204])).
% 2.84/2.88 cnf(783,plain,
% 2.84/2.88 (P3(f6(f41(x7831,a1)),x7831)),
% 2.84/2.88 inference(rename_variables,[],[177])).
% 2.84/2.88 cnf(786,plain,
% 2.84/2.88 (P5(x7861,x7861,f41(x7862,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(792,plain,
% 2.84/2.88 (P24(f5(f5(f5(f28(x7921),x7922),x7923),x7922))),
% 2.84/2.88 inference(rename_variables,[],[205])).
% 2.84/2.88 cnf(795,plain,
% 2.84/2.88 (~E(f5(f5(f28(x7951),x7952),x7953),f6(f41(x7951,a1)))),
% 2.84/2.88 inference(rename_variables,[],[310])).
% 2.84/2.88 cnf(803,plain,
% 2.84/2.88 (~P24(f5(f6(f41(x8031,a1)),x8032))),
% 2.84/2.88 inference(rename_variables,[],[311])).
% 2.84/2.88 cnf(806,plain,
% 2.84/2.88 (P24(f34(x8061,f5(f5(f28(x8062),x8061),x8063),x8062))),
% 2.84/2.88 inference(rename_variables,[],[216])).
% 2.84/2.88 cnf(809,plain,
% 2.84/2.88 (P24(f34(x8091,f5(f5(f28(x8092),x8091),x8093),x8092))),
% 2.84/2.88 inference(rename_variables,[],[216])).
% 2.84/2.88 cnf(816,plain,
% 2.84/2.88 (P24(f34(x8161,f5(f33(x8162,x8163,x8164),f5(f5(f28(x8164),f5(x8162,x8161)),f6(f41(x8164,a1)))),x8163))),
% 2.84/2.88 inference(rename_variables,[],[271])).
% 2.84/2.88 cnf(819,plain,
% 2.84/2.88 (P5(x8191,x8191,f41(x8192,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(822,plain,
% 2.84/2.88 (~P24(f34(x8221,f6(f41(x8222,a1)),x8222))),
% 2.84/2.88 inference(rename_variables,[],[314])).
% 2.84/2.88 cnf(828,plain,
% 2.84/2.88 (~E(f5(f5(f28(x8281),x8282),x8283),f6(f41(x8281,a1)))),
% 2.84/2.88 inference(rename_variables,[],[310])).
% 2.84/2.88 cnf(833,plain,
% 2.84/2.88 (P5(x8331,x8331,f41(x8332,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(841,plain,
% 2.84/2.88 (P5(f6(f41(x8411,a1)),x8412,f41(x8411,a1))),
% 2.84/2.88 inference(rename_variables,[],[184])).
% 2.84/2.88 cnf(844,plain,
% 2.84/2.88 (P5(x8441,x8441,f41(x8442,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(847,plain,
% 2.84/2.88 (P5(x8471,x8471,f41(x8472,a1))),
% 2.84/2.88 inference(rename_variables,[],[179])).
% 2.84/2.88 cnf(877,plain,
% 2.84/2.88 (P18(f41(x8771,a1))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,167,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,299,180,211,176,703,765,177,783,204,730,733,767,775,184,779,186,314,311,185,193,724,727,736,216,806,809,205,697,243,310,706,709,714,717,795,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324])).
% 2.84/2.88 cnf(891,plain,
% 2.84/2.88 (~E(f6(f41(x8911,a1)),f5(f5(f28(x8912),x8913),x8914))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,299,180,211,176,703,765,177,783,204,730,733,767,775,184,779,186,314,311,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349])).
% 2.84/2.88 cnf(1085,plain,
% 2.84/2.88 (~P24(f5(f5(f5(f20(f41(x10851,a1)),f6(f41(x10852,a1))),x10853),x10854))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,299,180,211,176,703,765,177,783,204,730,733,767,775,184,779,186,314,311,803,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621])).
% 2.84/2.88 cnf(1087,plain,
% 2.84/2.88 (~P24(f5(f5(f5(f20(f41(x10871,a1)),x10872),f6(f41(x10873,a1))),x10874))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,299,180,211,176,703,765,177,783,204,730,733,767,775,184,779,186,314,311,803,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621,620])).
% 2.84/2.88 cnf(1221,plain,
% 2.84/2.88 (P24(f5(f5(a40,f51(a42,a40,a43,a46)),f52(a42,a40,a43,a46)))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,847,299,180,211,176,703,765,177,783,204,730,733,767,775,782,184,779,186,314,822,311,803,295,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,828,256,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621,620,564,563,521,515,513,483,475,473,462,457,452,448,447,446,445,396,395,657,628,627,567,566,554,553,550,541,540,536,535,665,661,645,615,603,557,517,516,505,412,662,639,637,613,612,606,580,531,525,667,636,632,610,575,558,669,655,642,542,534,520,672,592,533,614,578,532,675])).
% 2.84/2.88 cnf(1226,plain,
% 2.84/2.88 (E(f5(f3(x12261),x12262),x12262)),
% 2.84/2.88 inference(rename_variables,[],[176])).
% 2.84/2.88 cnf(1233,plain,
% 2.84/2.88 (~E(a1,x12331)+P23(x12331)),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,847,299,180,211,176,703,765,773,1226,183,177,783,204,730,733,767,775,782,184,779,186,187,314,822,311,803,295,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,828,256,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621,620,564,563,521,515,513,483,475,473,462,457,452,448,447,446,445,396,395,657,628,627,567,566,554,553,550,541,540,536,535,665,661,645,615,603,557,517,516,505,412,662,639,637,613,612,606,580,531,525,667,636,632,610,575,558,669,655,642,542,534,520,672,592,533,614,578,532,675,674,670,152,151,140,139,134,129])).
% 2.84/2.88 cnf(1292,plain,
% 2.84/2.88 (~E(f5(f5(f25(f41(x12921,a1)),f5(f5(f28(x12921),x12922),x12923)),x12924),f6(f41(x12921,a1)))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,847,299,180,211,176,703,765,773,1226,183,177,783,204,730,733,767,775,782,184,779,186,187,314,822,311,803,295,185,193,724,727,736,216,806,809,205,697,792,243,310,706,709,714,717,795,828,256,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621,620,564,563,521,515,513,483,475,473,462,457,452,448,447,446,445,396,395,657,628,627,567,566,554,553,550,541,540,536,535,665,661,645,615,603,557,517,516,505,412,662,639,637,613,612,606,580,531,525,667,636,632,610,575,558,669,655,642,542,534,520,672,592,533,614,578,532,675,674,670,152,151,140,139,134,129,411,329,471,469,467,465,428,427,426,425,599,598,597,596,495,421,366,365,364,363,362,361,478,409,408,360,359,690,689,351])).
% 2.84/2.88 cnf(1293,plain,
% 2.84/2.88 (~E(f5(f5(f28(x12931),x12932),x12933),f6(f41(x12931,a1)))),
% 2.84/2.88 inference(rename_variables,[],[310])).
% 2.84/2.88 cnf(1315,plain,
% 2.84/2.88 (P24(f34(x13151,f5(f5(f28(x13152),x13151),x13153),x13152))),
% 2.84/2.88 inference(rename_variables,[],[216])).
% 2.84/2.88 cnf(1337,plain,
% 2.84/2.88 (~P24(f5(f5(a43,f51(a42,a40,a43,a46)),f53(a42,a40,a43,a46,a44,a47)))),
% 2.84/2.88 inference(scs_inference,[],[273,163,164,165,166,167,168,169,170,171,172,173,174,191,316,207,179,700,755,769,786,819,833,844,847,299,180,211,176,703,765,773,1226,183,177,783,204,730,733,767,775,782,184,779,841,186,187,314,822,311,803,295,185,193,724,727,736,216,806,809,1315,205,697,792,243,310,706,709,714,717,795,828,1293,256,275,217,267,271,816,264,245,2,317,405,391,348,684,683,571,688,687,441,417,562,561,560,559,498,463,458,398,368,604,503,496,594,150,149,148,144,143,142,137,135,133,132,131,130,3,451,424,370,538,385,394,502,431,577,504,443,442,433,611,509,641,607,551,539,640,633,676,419,476,544,543,338,380,378,376,374,342,341,340,336,335,328,327,326,325,324,323,322,321,320,319,318,349,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,653,605,590,584,583,582,519,518,481,480,479,450,449,390,384,383,382,372,371,358,356,354,345,344,339,333,332,331,330,422,415,413,401,381,347,346,343,658,634,621,620,564,563,521,515,513,483,475,473,462,457,452,448,447,446,445,396,395,657,628,627,567,566,554,553,550,541,540,536,535,665,661,645,615,603,557,517,516,505,412,662,639,637,613,612,606,580,531,525,667,636,632,610,575,558,669,655,642,542,534,520,672,592,533,614,578,532,675,674,670,152,151,140,139,134,129,411,329,471,469,467,465,428,427,426,425,599,598,597,596,495,421,366,365,364,363,362,361,478,409,408,360,359,690,689,351,350,497,491,649,623,570,549,548,546,569,526,652,618,527,617,616,555,643,625,574,680])).
% 2.84/2.88 cnf(1378,plain,
% 2.84/2.88 (E(x13781,f26(f5(f5(f28(x13782),x13781),f6(f41(x13782,a1))),x13782))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1380,plain,
% 2.84/2.88 (P8(f3(x13801),x13802,x13801,x13801)),
% 2.84/2.88 inference(rename_variables,[],[207])).
% 2.84/2.88 cnf(1386,plain,
% 2.84/2.88 (P8(f3(x13861),x13862,x13861,x13861)),
% 2.84/2.88 inference(rename_variables,[],[207])).
% 2.84/2.88 cnf(1389,plain,
% 2.84/2.88 (E(x13891,f26(f5(f5(f28(x13892),x13891),f6(f41(x13892,a1))),x13892))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1391,plain,
% 2.84/2.88 (E(x13911,f26(f5(f5(f28(x13912),x13911),f6(f41(x13912,a1))),x13912))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1393,plain,
% 2.84/2.88 (E(x13931,f26(f5(f5(f28(x13932),x13931),f6(f41(x13932,a1))),x13932))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1395,plain,
% 2.84/2.88 (E(x13951,f26(f5(f5(f28(x13952),x13951),f6(f41(x13952,a1))),x13952))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1397,plain,
% 2.84/2.88 (E(x13971,f26(f5(f5(f28(x13972),x13971),f6(f41(x13972,a1))),x13972))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1399,plain,
% 2.84/2.88 (E(x13991,f26(f5(f5(f28(x13992),x13991),f6(f41(x13992,a1))),x13992))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1401,plain,
% 2.84/2.88 (E(x14011,f26(f5(f5(f28(x14012),x14011),f6(f41(x14012,a1))),x14012))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1403,plain,
% 2.84/2.88 (E(x14031,f26(f5(f5(f28(x14032),x14031),f6(f41(x14032,a1))),x14032))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1405,plain,
% 2.84/2.88 (E(x14051,f26(f5(f5(f28(x14052),x14051),f6(f41(x14052,a1))),x14052))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1407,plain,
% 2.84/2.88 (E(x14071,f26(f5(f5(f28(x14072),x14071),f6(f41(x14072,a1))),x14072))),
% 2.84/2.88 inference(rename_variables,[],[711])).
% 2.84/2.88 cnf(1415,plain,
% 2.84/2.88 (P8(f3(x14151),x14152,x14151,x14151)),
% 2.84/2.88 inference(rename_variables,[],[207])).
% 2.84/2.88 cnf(1420,plain,
% 2.84/2.88 (~P24(f5(f5(f5(f20(f41(x14201,a1)),f6(f41(x14202,a1))),x14203),x14204))),
% 2.84/2.88 inference(rename_variables,[],[1085])).
% 2.84/2.88 cnf(1430,plain,
% 2.84/2.88 (P8(f3(x14301),x14302,x14301,x14301)),
% 2.84/2.88 inference(rename_variables,[],[207])).
% 2.84/2.88 cnf(1431,plain,
% 2.84/2.88 (P5(x14311,f5(f5(f25(f41(x14312,a1)),x14313),x14311),f41(x14312,a1))),
% 2.84/2.88 inference(rename_variables,[],[219])).
% 2.84/2.88 cnf(1438,plain,
% 2.84/2.88 ($false),
% 2.84/2.88 inference(scs_inference,[],[273,699,300,219,1431,205,168,170,171,173,207,1380,1386,1415,1430,166,172,316,169,163,164,167,165,711,1378,1389,1391,1393,1395,1397,1399,1401,1403,1405,1407,1085,1420,1087,1292,891,1337,757,1221,877,1233,673,681,659,128,127,126,125,124,123,122,121,120,119,118,622,572,666,389,461,437,656,650,677]),
% 2.84/2.88 ['proof']).
% 2.84/2.88 % SZS output end Proof
% 2.84/2.88 % Total time :2.000000s
%------------------------------------------------------------------------------