TSTP Solution File: SWV857-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 21:35:31 EDT 2023
% Result : Unsatisfiable 3.99s 4.05s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 07:02:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 3.92/4.00 %-------------------------------------------
% 3.92/4.00 % File :CSE---1.6
% 3.92/4.00 % Problem :theBenchmark
% 3.92/4.00 % Transform :cnf
% 3.92/4.00 % Format :tptp:raw
% 3.92/4.00 % Command :java -jar mcs_scs.jar %d %s
% 3.92/4.00
% 3.92/4.00 % Result :Theorem 3.230000s
% 3.92/4.00 % Output :CNFRefutation 3.230000s
% 3.92/4.00 %-------------------------------------------
% 3.92/4.01 %------------------------------------------------------------------------------
% 3.92/4.01 % File : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 3.92/4.01 % Domain : Software Verification
% 3.92/4.01 % Problem : Hoare logic with procedures 285_1
% 3.92/4.01 % Version : Especial.
% 3.92/4.01 % English : Completeness is taken relative to completeness of the underlying
% 3.92/4.01 % logic. Two versions of completeness proof: nested single recursion
% 3.92/4.01 % and simultaneous recursion in call rule.
% 3.92/4.01
% 3.92/4.01 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 3.92/4.01 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 3.92/4.01 % Source : [Nip10]
% 3.92/4.01 % Names : Hoare-285_1 [Nip10]
% 3.92/4.01
% 3.92/4.01 % Status : Unsatisfiable
% 3.92/4.01 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.41 v5.0.0, 0.43 v4.1.0
% 3.92/4.01 % Syntax : Number of clauses : 586 ( 151 unt; 64 nHn; 297 RR)
% 3.92/4.01 % Number of literals : 1321 ( 314 equ; 694 neg)
% 3.92/4.01 % Maximal clause size : 6 ( 2 avg)
% 3.92/4.01 % Maximal term depth : 6 ( 1 avg)
% 3.92/4.01 % Number of predicates : 27 ( 26 usr; 0 prp; 1-3 aty)
% 3.92/4.01 % Number of functors : 43 ( 43 usr; 7 con; 0-5 aty)
% 3.92/4.01 % Number of variables : 1962 ( 184 sgn)
% 3.92/4.01 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.92/4.01
% 3.92/4.01 % Comments :
% 3.92/4.01 %------------------------------------------------------------------------------
% 3.92/4.01 cnf(cls_Un__Diff__cancel_0,axiom,
% 3.92/4.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__Diff__cancel2_0,axiom,
% 3.92/4.01 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_o__eq__id__dest_0,axiom,
% 3.92/4.01 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)
% 3.92/4.01 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 3.92/4.01 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 3.92/4.01 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__empty_0,axiom,
% 3.92/4.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.92/4.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__empty_1,axiom,
% 3.92/4.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.92/4.01 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Int__insert__left_1,axiom,
% 3.92/4.01 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.92/4.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Int__insert__right_1,axiom,
% 3.92/4.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.92/4.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_insert__image_0,axiom,
% 3.92/4.01 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 3.92/4.01 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_insert__code_2,axiom,
% 3.92/4.01 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 3.92/4.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_vimage__Compl_0,axiom,
% 3.92/4.01 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 3.92/4.01 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.92/4.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__Int__crazy_0,axiom,
% 3.92/4.01 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 3.92/4.01 ( ~ class_Orderings_Oorder(T_a)
% 3.92/4.01 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_singleton__inject_0,axiom,
% 3.92/4.01 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 3.92/4.01 | V_a = V_b ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_psubset__insert__iff_5,axiom,
% 3.92/4.01 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.92/4.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.92/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.92/4.01 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_insert__Diff__single_0,axiom,
% 3.92/4.01 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Compl__lessThan_0,axiom,
% 3.92/4.01 ( ~ class_Orderings_Olinorder(T_a)
% 3.92/4.01 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_k,T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_distrib__inf__le_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Olattice(T_a)
% 3.92/4.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_lessThan__eq__iff_0,axiom,
% 3.92/4.01 ( ~ class_Orderings_Olinorder(T_a)
% 3.92/4.01 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 3.92/4.01 | V_x = V_y ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Diff__partition_0,axiom,
% 3.92/4.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 3.92/4.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Olattice(T_a)
% 3.92/4.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_inf__commute_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.92/4.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Int__commute_0,axiom,
% 3.92/4.01 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_atMost__Int__atLeast_0,axiom,
% 3.92/4.01 ( ~ class_Orderings_Oorder(T_a)
% 3.92/4.01 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Olattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Olattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_sup__left__commute_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_sup__assoc_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.92/4.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__assoc_0,axiom,
% 3.92/4.01 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Un__left__commute_0,axiom,
% 3.92/4.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_image__diff__subset_0,axiom,
% 3.92/4.01 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_diff__eq_0,axiom,
% 3.92/4.01 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.92/4.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Diff__eq_0,axiom,
% 3.92/4.01 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_image__empty_0,axiom,
% 3.92/4.01 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_eq__eqI_0,axiom,
% 3.92/4.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.92/4.01 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.92/4.01 | V_x_H = V_y_H ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_eq__eqI_1,axiom,
% 3.92/4.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.92/4.01 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 3.92/4.01 | V_xa = V_y ) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_doubleton__eq__iff_4,axiom,
% 3.92/4.01 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_Diff__idemp_0,axiom,
% 3.92/4.01 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)) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_COMBC__def_0,axiom,
% 3.92/4.01 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 3.92/4.01 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 ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_insert__commute_0,axiom,
% 3.92/4.01 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 3.92/4.01
% 3.92/4.01 cnf(cls_ivl__disj__un_I13_J_0,axiom,
% 3.92/4.01 ( ~ class_Orderings_Olinorder(T_a)
% 3.92/4.02 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 3.92/4.02 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_fun__diff__def_0,axiom,
% 3.92/4.02 ( ~ class_HOL_Ominus(T_b)
% 3.92/4.02 | 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) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_vimage__id_0,axiom,
% 3.92/4.02 c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_Un__Diff_0,axiom,
% 3.92/4.02 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_greaterThan__iff_0,axiom,
% 3.92/4.02 ( ~ class_HOL_Oord(T_a)
% 3.92/4.02 | c_HOL_Oord__class_Oless(V_k,V_i,T_a)
% 3.92/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OgreaterThan(V_k,T_a))) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_greaterThan__iff_1,axiom,
% 3.92/4.02 ( ~ class_HOL_Oord(T_a)
% 3.92/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OgreaterThan(V_k,T_a)))
% 3.92/4.02 | ~ c_HOL_Oord__class_Oless(V_k,V_i,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_vimage__compose_0,axiom,
% 3.92/4.02 c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_inf__eq__neg__sup_0,axiom,
% 3.92/4.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.92/4.02 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_psubset__insert__iff_9,axiom,
% 3.92/4.02 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.92/4.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.92/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.92/4.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_Un__commute_0,axiom,
% 3.92/4.02 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_sup__commute_0,axiom,
% 3.92/4.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.92/4.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 3.92/4.02 ( ~ class_Lattices_Olattice(T_a)
% 3.92/4.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_image__id_0,axiom,
% 3.92/4.02 c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_Compl__Int_0,axiom,
% 3.92/4.02 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_compl__inf_0,axiom,
% 3.92/4.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.92/4.02 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_neg__inf__eq__sup_0,axiom,
% 3.92/4.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.92/4.02 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 3.92/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.92/4.02 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 3.92/4.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 3.92/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.92/4.02 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 3.92/4.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_insert__is__Un_0,axiom,
% 3.92/4.02 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_atLeastatMost__psubset__iff_2,axiom,
% 3.92/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.92/4.02 | c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 3.92/4.02 | c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 3.92/4.02 | ~ c_lessequals(V_a,V_b,T_a)
% 3.92/4.02 | ~ c_HOL_Oord__class_Oless(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)) ) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_Un__left__absorb_0,axiom,
% 3.92/4.02 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 3.92/4.02
% 3.92/4.02 cnf(cls_sup__left__idem_0,axiom,
% 3.92/4.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.92/4.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 3.96/4.02 ( ~ class_Lattices_Olattice(T_a)
% 3.96/4.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_empty__is__image_1,axiom,
% 3.96/4.02 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Compl__Un_0,axiom,
% 3.96/4.02 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_compl__sup_0,axiom,
% 3.96/4.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_neg__sup__eq__inf_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Diff__disjoint_0,axiom,
% 3.96/4.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Inf__singleton_0,axiom,
% 3.96/4.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.96/4.02 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_vimage__Un_0,axiom,
% 3.96/4.02 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Sup__binary_0,axiom,
% 3.96/4.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.96/4.02 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_ivl__disj__int_I7_J_0,axiom,
% 3.96/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.02 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Diff__Compl_0,axiom,
% 3.96/4.02 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_single__Diff__lessThan_0,axiom,
% 3.96/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.02 | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insert__Diff__if_1,axiom,
% 3.96/4.02 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.96/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_subset__insert__iff_4,axiom,
% 3.96/4.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.96/4.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.96/4.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_inf1E_1,axiom,
% 3.96/4.02 ( hBOOL(hAPP(V_B,V_x))
% 3.96/4.02 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_inf1E_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(V_A,V_x))
% 3.96/4.02 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 3.96/4.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.96/4.02 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 3.96/4.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.96/4.02 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Diff__insert__absorb_0,axiom,
% 3.96/4.02 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 3.96/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_id__apply_0,axiom,
% 3.96/4.02 hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_atLeastatMost__psubset__iff_0,axiom,
% 3.96/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.02 | c_lessequals(V_c,V_a,T_a)
% 3.96/4.02 | ~ c_lessequals(V_a,V_b,T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(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)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_atLeastatMost__psubset__iff_1,axiom,
% 3.96/4.02 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.02 | c_lessequals(V_b,V_d,T_a)
% 3.96/4.02 | ~ c_lessequals(V_a,V_b,T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(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)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Diff__subset__conv_1,axiom,
% 3.96/4.02 ( 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))
% 3.96/4.02 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Diff__subset__conv_0,axiom,
% 3.96/4.02 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.96/4.02 | ~ 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)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_double__complement_0,axiom,
% 3.96/4.02 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_minus__minus_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_double__compl_0,axiom,
% 3.96/4.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_equation__minus__iff_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.96/4.02 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_equation__minus__iff_1,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.96/4.02 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_minus__equation__iff_1,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_less__supI1_0,axiom,
% 3.96/4.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_less__supI2_0,axiom,
% 3.96/4.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_minus__diff__eq_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.96/4.02 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_vimage__Int_0,axiom,
% 3.96/4.02 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Inf__binary_0,axiom,
% 3.96/4.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.96/4.02 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_less__minus__iff_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_less__minus__iff_1,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_minus__less__iff_0,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_minus__less__iff_1,axiom,
% 3.96/4.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.96/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_Int__iff_2,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_IntI_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insert__iff_2,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insertCI_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INF1__iff_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INF1__E_0,axiom,
% 3.96/4.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 3.96/4.02 | hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 3.96/4.02 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INF1__D_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_UnCI_1,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_UnCI_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_ex__in__conv_0,axiom,
% 3.96/4.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_ball__empty_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(V_P,V_x))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_empty__iff_0,axiom,
% 3.96/4.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_emptyE_0,axiom,
% 3.96/4.02 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insertE_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))
% 3.96/4.02 | V_a = V_b
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_UnE_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INT__iff_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INT__E_0,axiom,
% 3.96/4.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_a),V_A))
% 3.96/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_a)))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_INT__D_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_a)))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_a),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_DiffE_1,axiom,
% 3.96/4.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_DiffE_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_ComplI_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 3.96/4.02 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_ComplD_0,axiom,
% 3.96/4.02 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_psubsetD_0,axiom,
% 3.96/4.02 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.02 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.96/4.02 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insert__iff_1,axiom,
% 3.96/4.02 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insertI1_0,axiom,
% 3.96/4.02 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_insertCI_1,axiom,
% 3.96/4.02 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ).
% 3.96/4.02
% 3.96/4.02 cnf(cls_IntE_1,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_IntE_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_bex__empty_0,axiom,
% 3.96/4.03 ( ~ hBOOL(hAPP(V_P,V_x))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_pred__equals__eq_0,axiom,
% 3.96/4.03 ( c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool) != c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool)
% 3.96/4.03 | V_R = V_S ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Diff__iff_2,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_DiffI_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_insert__ident_0,axiom,
% 3.96/4.03 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | V_A = V_B ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_UN__iff_2,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_UN__I_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimage__eq_1,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimageI2_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimageI_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimageE_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimageD_0,axiom,
% 3.96/4.03 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_xt1_I10_J_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_psubset__trans_0,axiom,
% 3.96/4.03 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_order__less__trans_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Opreorder(T_a)
% 3.96/4.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_sup__idem_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.96/4.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Un__absorb_0,axiom,
% 3.96/4.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_id__o_0,axiom,
% 3.96/4.03 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_o__id_0,axiom,
% 3.96/4.03 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_inf__sup__distrib2_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_inf__sup__distrib1_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Int__Un__distrib_0,axiom,
% 3.96/4.03 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Int__Un__distrib2_0,axiom,
% 3.96/4.03 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_sup__fun__eq_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Olattice(T_b)
% 3.96/4.03 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Diff__triv_0,axiom,
% 3.96/4.03 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.96/4.03 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_singletonE_0,axiom,
% 3.96/4.03 ( V_b = V_a
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Olinorder(T_a)
% 3.96/4.03 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 3.96/4.03 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_subset__insert__iff_0,axiom,
% 3.96/4.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_subset__insert__iff_3,axiom,
% 3.96/4.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_diff__single__insert_0,axiom,
% 3.96/4.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_insert__Diff1_0,axiom,
% 3.96/4.03 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Compl__atLeast_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Olinorder(T_a)
% 3.96/4.03 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_k,T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_ivl__disj__int_I8_J_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Oorder(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_psubset__insert__iff_1,axiom,
% 3.96/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_psubset__insert__iff_4,axiom,
% 3.96/4.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.96/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_bot__fun__eq_0,axiom,
% 3.96/4.03 ( ~ class_Orderings_Obot(T_b)
% 3.96/4.03 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_inf__compl__bot_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_compl__inf__bot_0,axiom,
% 3.96/4.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.96/4.03 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Compl__disjoint_0,axiom,
% 3.96/4.03 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Compl__disjoint2_0,axiom,
% 3.96/4.03 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_empty__is__image_0,axiom,
% 3.96/4.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 3.96/4.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Inf__insert_0,axiom,
% 3.96/4.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.96/4.03 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Un__insert__left_0,axiom,
% 3.96/4.03 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Un__insert__right_0,axiom,
% 3.96/4.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_vimage__Diff_0,axiom,
% 3.96/4.03 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_psubset__insert__iff_8,axiom,
% 3.96/4.03 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.96/4.03 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_image__vimage__subset_0,axiom,
% 3.96/4.03 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 3.96/4.03
% 3.96/4.03 cnf(cls_Sup__insert_0,axiom,
% 3.96/4.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.96/4.03 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 3.96/4.03
% 3.99/4.03 cnf(cls_lessThan__iff_0,axiom,
% 3.99/4.03 ( ~ class_HOL_Oord(T_a)
% 3.99/4.03 | c_HOL_Oord__class_Oless(V_i,V_k,T_a)
% 3.99/4.03 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OlessThan(V_k,T_a))) ) ).
% 3.99/4.03
% 3.99/4.03 cnf(cls_lessThan__iff_1,axiom,
% 3.99/4.03 ( ~ class_HOL_Oord(T_a)
% 3.99/4.03 | hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OlessThan(V_k,T_a)))
% 3.99/4.03 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ).
% 3.99/4.03
% 3.99/4.03 cnf(cls_Compl__Diff__eq_0,axiom,
% 3.99/4.03 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__insert_0,axiom,
% 3.99/4.04 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__insert2_0,axiom,
% 3.99/4.04 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__not__empty_0,axiom,
% 3.99/4.04 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_vimage__singleton__eq_1,axiom,
% 3.99/4.04 hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__inter__insert_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_greaterThan__eq__iff_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__absorb2_0,axiom,
% 3.99/4.04 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__code_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(V_A,V_x))
% 3.99/4.04 | V_y = V_x
% 3.99/4.04 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 3.99/4.04 ( 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))
% 3.99/4.04 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__Compl__self__eq_1,axiom,
% 3.99/4.04 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__bot__right_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__bot__left_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__empty__left_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__empty__right_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UN__absorb_0,axiom,
% 3.99/4.04 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_INT__extend__simps_I1_J_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_INT__extend__simps_I2_J_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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 ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Sup__empty_0,axiom,
% 3.99/4.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.99/4.04 | 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) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_image__Int__subset_0,axiom,
% 3.99/4.04 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 3.99/4.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 3.99/4.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__empty_0,axiom,
% 3.99/4.04 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 ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__cancel_0,axiom,
% 3.99/4.04 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)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_o__apply_0,axiom,
% 3.99/4.04 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_o__eq__dest__lhs_0,axiom,
% 3.99/4.04 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Suc__inject_0,axiom,
% 3.99/4.04 ( c_Suc(V_x) != c_Suc(V_y)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_nat_Oinject_0,axiom,
% 3.99/4.04 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 3.99/4.04 | V_nat = V_nat_H ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_not__psubset__empty_0,axiom,
% 3.99/4.04 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup1E_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(V_B,V_x))
% 3.99/4.04 | hBOOL(hAPP(V_A,V_x))
% 3.99/4.04 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup1CI_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 3.99/4.04 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup1CI_1,axiom,
% 3.99/4.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 3.99/4.04 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__left__commute_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__assoc_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__assoc_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__left__commute_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 3.99/4.04 | ~ c_lessequals(V_m,V_u,T_a)
% 3.99/4.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 3.99/4.04 ( 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))
% 3.99/4.04 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__bot__right_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__bot__left_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__empty__left_0,axiom,
% 3.99/4.04 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__empty__right_0,axiom,
% 3.99/4.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_empty__Diff_0,axiom,
% 3.99/4.04 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)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 3.99/4.04 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 3.99/4.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_neg__less__iff__less_1,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_neg__less__iff__less_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Compl__atMost_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_k,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 3.99/4.04 | ~ c_lessequals(V_m,V_u,T_a)
% 3.99/4.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_bot1E_0,axiom,
% 3.99/4.04 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__Int__distrib_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__Int__distrib2_0,axiom,
% 3.99/4.04 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__insert__iff_0,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__insert__iff_6,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 3.99/4.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_distrib__sup__le_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__un_I1_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Diff__Int2_0,axiom,
% 3.99/4.04 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__absorb_0,axiom,
% 3.99/4.04 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_SUP1__iff_2,axiom,
% 3.99/4.04 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_SUP1__I_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_rev__image__eqI_0,axiom,
% 3.99/4.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_image__iff_2,axiom,
% 3.99/4.04 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_image__eqI_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_imageI_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__antisym__conv2_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__antisym__conv1_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__neq__le__trans_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.99/4.04 | ~ c_lessequals(V_a,V_b,T_a)
% 3.99/4.04 | V_a = V_b ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__le__neq__trans_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.99/4.04 | V_a = V_b
% 3.99/4.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__less__le_2,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__le__less_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_xt1_I12_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,V_a,T_a)
% 3.99/4.04 | V_a = V_b ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_xt1_I11_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.99/4.04 | V_a = V_b
% 3.99/4.04 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__eqI_1,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.99/4.04 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__eqI_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.99/4.04 | c_lessequals(V_y_H,V_x_H,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__less__le__trans_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_z,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__le__less__trans_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_xt1_I8_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_xt1_I7_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_z,V_y,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__supE_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_a,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__supE_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_b,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__supI1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__supI2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__sup__iff_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__sup__iff_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_y,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_gfp__upperbound_0,axiom,
% 3.99/4.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.99/4.04 | c_lessequals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_X,hAPP(V_f,V_X),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__le1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__le2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__infI_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_b,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__inf__iff_2,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__greatest_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__iff__sup_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__iff__sup_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__absorb1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__less__imp__le_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__le__less_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__le__not__le_2,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_bot__least_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Obot(T_a)
% 3.99/4.04 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__imp__neg__le_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_neg__le__iff__le_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(V_a,V_b,T_a)
% 3.99/4.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_not__leE_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__antisym__conv2_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_x,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__antisym__conv1_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 3.99/4.04 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__not__less_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__not__less_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__not__le_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__not__le_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__le__not__le_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__iff__inf_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 3.99/4.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__iff__inf_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__absorb2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__supI_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__ge1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__ge2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__least_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_z,V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__sup__iff_2,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_y,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__infE_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_a,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__infE_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_b,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__infI1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__infI2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__inf__iff_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_y,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__inf__iff_1,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_lessequals(V_x,V_z,T_a)
% 3.99/4.04 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__minus__iff_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_le__minus__iff_1,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_minus__le__iff_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.99/4.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_minus__le__iff_1,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.99/4.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_weak__coinduct__image_0,axiom,
% 3.99/4.04 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_g,V_a)),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool))))
% 3.99/4.04 | ~ c_lessequals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_X)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__insert__iff_7,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__insert__iff_3,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__insert__iff_2,axiom,
% 3.99/4.04 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.04 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__Int__eq_0,axiom,
% 3.99/4.04 hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__Un__eq_0,axiom,
% 3.99/4.04 hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__fun__def_0,axiom,
% 3.99/4.04 ( ~ class_HOL_Oord(T_b)
% 3.99/4.04 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__fun__def_2,axiom,
% 3.99/4.04 ( ~ class_HOL_Oord(T_b)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 3.99/4.04 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 3.99/4.04 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__fun__def_1,axiom,
% 3.99/4.04 ( ~ class_HOL_Oord(T_b)
% 3.99/4.04 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 3.99/4.04 ( V_A = V_B
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__eq_2,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | V_A = V_B
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_insert__mono_0,axiom,
% 3.99/4.04 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__image__iff_2,axiom,
% 3.99/4.04 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 3.99/4.04 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_image__mono_0,axiom,
% 3.99/4.04 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_double__diff_0,axiom,
% 3.99/4.04 ( 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
% 3.99/4.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__mono_0,axiom,
% 3.99/4.04 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__psubset__trans_0,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__subset__trans_0,axiom,
% 3.99/4.04 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__subset__iff_1,axiom,
% 3.99/4.04 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__subset__iff_0,axiom,
% 3.99/4.04 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_predicate1I_1,axiom,
% 3.99/4.04 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__subset__iff_2,axiom,
% 3.99/4.04 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__greatest_0,axiom,
% 3.99/4.04 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__lower2_0,axiom,
% 3.99/4.04 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Int__lower1_0,axiom,
% 3.99/4.04 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__mono_0,axiom,
% 3.99/4.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__empty_1,axiom,
% 3.99/4.04 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)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_subset__empty_0,axiom,
% 3.99/4.04 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeastLessThan__empty_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_psubset__eq_1,axiom,
% 3.99/4.04 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__less__le_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__neq__iff_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_order__less__irrefl_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_sup__inf__absorb_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeastatMost__empty_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_compl__eq__compl__iff_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.99/4.04 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_neg__equal__iff__equal_0,axiom,
% 3.99/4.04 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.99/4.04 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 3.99/4.04 | V_a = V_b ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 3.99/4.04 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 3.99/4.04 | V_A = V_B ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeastatMost__psubset__iff_6,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(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))
% 3.99/4.04 | ~ c_lessequals(V_c,V_d,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,V_d,T_a)
% 3.99/4.04 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeastatMost__psubset__iff_5,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(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))
% 3.99/4.04 | ~ c_lessequals(V_c,V_d,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 3.99/4.04 | ~ c_lessequals(V_b,V_d,T_a)
% 3.99/4.04 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__un_I2_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 3.99/4.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__neqE_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__less__linear_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_linorder__antisym__conv3_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | V_x = V_y
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_inf__sup__absorb_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__infI2_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_less__infI1_0,axiom,
% 3.99/4.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.04 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 3.99/4.04 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_Un__Diff__Int_0,axiom,
% 3.99/4.04 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_doubleton__eq__iff_0,axiom,
% 3.99/4.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 3.99/4.04 | V_a = V_d
% 3.99/4.04 | V_a = V_c ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_doubleton__eq__iff_1,axiom,
% 3.99/4.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 3.99/4.04 | V_b = V_c
% 3.99/4.04 | V_a = V_c ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_doubleton__eq__iff_2,axiom,
% 3.99/4.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 3.99/4.04 | V_a = V_d
% 3.99/4.04 | V_b = V_d ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_doubleton__eq__iff_3,axiom,
% 3.99/4.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 3.99/4.04 | V_b = V_c
% 3.99/4.04 | V_b = V_d ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_ivl__disj__un_I8_J_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a)
% 3.99/4.04 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeast__eq__iff_0,axiom,
% 3.99/4.04 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.04 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 3.99/4.04 | V_x = V_y ) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_UN__insert_0,axiom,
% 3.99/4.04 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.04
% 3.99/4.04 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 3.99/4.04 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 3.99/4.05 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 3.99/4.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_empty__not__insert_0,axiom,
% 3.99/4.05 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_cut_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__insert__left_0,axiom,
% 3.99/4.05 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__insert__right_0,axiom,
% 3.99/4.05 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_image__insert_0,axiom,
% 3.99/4.05 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_fcomp__apply_0,axiom,
% 3.99/4.05 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__singleton__eq_0,axiom,
% 3.99/4.05 ( hAPP(V_f,V_a) = V_b
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_o__assoc_0,axiom,
% 3.99/4.05 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) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 3.99/4.05 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_fun__Compl__def_0,axiom,
% 3.99/4.05 ( ~ class_HOL_Ouminus(T_b)
% 3.99/4.05 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_sup__inf__distrib2_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.99/4.05 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_sup__inf__distrib1_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.99/4.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__Int__distrib_0,axiom,
% 3.99/4.05 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__Int__distrib2_0,axiom,
% 3.99/4.05 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_insert__code_1,axiom,
% 3.99/4.05 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Olattice(T_a)
% 3.99/4.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_inf__left__idem_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__left__absorb_0,axiom,
% 3.99/4.05 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ivl__disj__un_I10_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 3.99/4.05 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_fcomp__id_0,axiom,
% 3.99/4.05 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_id__fcomp_0,axiom,
% 3.99/4.05 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_image__compose_0,axiom,
% 3.99/4.05 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Suc__n__not__n_0,axiom,
% 3.99/4.05 c_Suc(V_n) != V_n ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_n__not__Suc__n_0,axiom,
% 3.99/4.05 V_n != c_Suc(V_n) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_insert__Diff_0,axiom,
% 3.99/4.05 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_inf__idem_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.99/4.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__absorb_0,axiom,
% 3.99/4.05 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_inf__fun__eq_0,axiom,
% 3.99/4.05 ( ~ class_Lattices_Olattice(T_b)
% 3.99/4.05 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Sup__singleton_0,axiom,
% 3.99/4.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.99/4.05 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_image__is__empty_0,axiom,
% 3.99/4.05 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__psubset__iff_3,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_c,V_d,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(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)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Diff__Un_0,axiom,
% 3.99/4.05 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__Diff_0,axiom,
% 3.99/4.05 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INT__Un_0,axiom,
% 3.99/4.05 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ivl__diff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 3.99/4.05 | ~ c_lessequals(V_i,V_n,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atMost__eq__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a)
% 3.99/4.05 | V_x = V_y ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_singleton__iff_1,axiom,
% 3.99/4.05 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__Compl__self__eq_0,axiom,
% 3.99/4.05 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INT__absorb_0,axiom,
% 3.99/4.05 ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_o__eq__dest_0,axiom,
% 3.99/4.05 ( 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)
% 3.99/4.05 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_comp__cong_0,axiom,
% 3.99/4.05 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 3.99/4.05 | 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) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__singletonD_0,axiom,
% 3.99/4.05 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 3.99/4.05 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__insert_0,axiom,
% 3.99/4.05 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Diff__Int_0,axiom,
% 3.99/4.05 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(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)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Compl__greaterThan_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_k,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_UN__Un_0,axiom,
% 3.99/4.05 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__code_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 3.99/4.05 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__code_1,axiom,
% 3.99/4.05 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 3.99/4.05 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_inf1I_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 3.99/4.05 | ~ hBOOL(hAPP(V_B,V_x))
% 3.99/4.05 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_sup__eq__neg__inf_0,axiom,
% 3.99/4.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.99/4.05 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_less__eqI_0,axiom,
% 3.99/4.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.99/4.05 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_less__eqI_1,axiom,
% 3.99/4.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.99/4.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.99/4.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__empty_2,axiom,
% 3.99/4.05 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ivl__disj__un_I14_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 3.99/4.05 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ivl__disj__int_I2_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_image__Un_0,axiom,
% 3.99/4.05 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__empty_0,axiom,
% 3.99/4.05 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__psubset__iff_4,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_HOL_Oord__class_Oless(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))
% 3.99/4.05 | ~ c_lessequals(V_c,V_d,T_a)
% 3.99/4.05 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INT__insert_0,axiom,
% 3.99/4.05 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_fcomp__assoc_0,axiom,
% 3.99/4.05 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_xt1_I9_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__less__asym_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__less__asym_H_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__Un__eq_1,axiom,
% 3.99/4.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 3.99/4.05 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__absorb2_0,axiom,
% 3.99/4.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 3.99/4.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__absorb1_0,axiom,
% 3.99/4.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_psubset__eq_0,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Diff__mono_0,axiom,
% 3.99/4.05 ( 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))
% 3.99/4.05 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insertI_0,axiom,
% 3.99/4.05 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_empty__subsetI_0,axiom,
% 3.99/4.05 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 3.99/4.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 3.99/4.05 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Compl__anti__mono_0,axiom,
% 3.99/4.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insertI2_0,axiom,
% 3.99/4.05 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_insert__subset_1,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__absorb2_0,axiom,
% 3.99/4.05 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__absorb1_0,axiom,
% 3.99/4.05 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 3.99/4.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__subset__iff_2,axiom,
% 3.99/4.05 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__upper2_0,axiom,
% 3.99/4.05 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__upper1_0,axiom,
% 3.99/4.05 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Un__least_0,axiom,
% 3.99/4.05 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Diff__subset_0,axiom,
% 3.99/4.05 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)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_vimage__mono_0,axiom,
% 3.99/4.05 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__subset__iff_1,axiom,
% 3.99/4.05 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Int__subset__iff_0,axiom,
% 3.99/4.05 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_predicate1I_0,axiom,
% 3.99/4.05 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_o__def_0,axiom,
% 3.99/4.05 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_id__def_0,axiom,
% 3.99/4.05 hAPP(c_Fun_Oid(t_a),v_x) = v_x ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_fcomp__def_0,axiom,
% 3.99/4.05 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_triple__valid__Suc_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_hoare__valids__def_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n)),V_G))
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_triples__valid__Suc_1,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts))
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_hoare__valids__def_2,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a)
% 3.99/4.05 | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_hoare__valids__def_1,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts))
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a)
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_weaken_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.99/4.05 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_thin_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.99/4.05 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 3.99/4.05 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_asm_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.99/4.05 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Sup__upper_0,axiom,
% 3.99/4.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.99/4.05 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_Inf__lower_0,axiom,
% 3.99/4.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.99/4.05 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atMost__iff_1,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_a)
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatMost(V_k,T_a)))
% 3.99/4.05 | ~ c_lessequals(V_i,V_k,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atMost__iff_0,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_a)
% 3.99/4.05 | c_lessequals(V_i,V_k,T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatMost(V_k,T_a))) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INF__leI_0,axiom,
% 3.99/4.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 3.99/4.05 | c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b),hAPP(V_M,V_i),T_b)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeast__iff_1,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_a)
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatLeast(V_k,T_a)))
% 3.99/4.05 | ~ c_lessequals(V_k,V_i,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeast__iff_0,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_a)
% 3.99/4.05 | c_lessequals(V_k,V_i,T_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatLeast(V_k,T_a))) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_le__SUPI_0,axiom,
% 3.99/4.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 3.99/4.05 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_insert__subset_2,axiom,
% 3.99/4.05 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subsetI_1,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(V_A,V_B,T_a)),V_B)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__iff_1,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(V_A,V_B,T_a)),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_pred__subset__eq_1,axiom,
% 3.99/4.05 ( c_lessequals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_pred__subset__eq_0,axiom,
% 3.99/4.05 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INT__lower_0,axiom,
% 3.99/4.05 ( c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),hAPP(V_B,V_a),tc_fun(T_b,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_UN__subset__iff_0,axiom,
% 3.99/4.05 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I))
% 3.99/4.05 | ~ 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)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_INT__subset__iff_0,axiom,
% 3.99/4.05 ( c_lessequals(V_B,hAPP(V_A,V_i),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_i),V_I))
% 3.99/4.05 | ~ c_lessequals(V_B,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_UN__upper_0,axiom,
% 3.99/4.05 ( 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))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_image__subset__iff_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))
% 3.99/4.05 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__iff_2,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(V_A,V_B,T_a)),V_B)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_weak__coinduct_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool))))
% 3.99/4.05 | ~ c_lessequals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_X)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subsetI_0,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(V_A,V_B,T_a)),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_insert__subset_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.05 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insert__iff_2,axiom,
% 3.99/4.05 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insert__iff_1,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insert_1,axiom,
% 3.99/4.05 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__insert_0,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_le__funI_0,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_b)
% 3.99/4.05 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 3.99/4.05 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),T_b) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_le__fun__def_1,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_b)
% 3.99/4.05 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 3.99/4.05 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),T_b) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeast__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeast__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.05 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | 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))
% 3.99/4.05 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_c,V_a,T_a)
% 3.99/4.05 | ~ c_lessequals(V_a,V_b,T_a)
% 3.99/4.05 | ~ 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)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_b,V_d,T_a)
% 3.99/4.05 | ~ c_lessequals(V_a,V_b,T_a)
% 3.99/4.05 | ~ 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)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | 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))
% 3.99/4.05 | ~ c_lessequals(V_b,V_d,T_a)
% 3.99/4.05 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atMost__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atMost__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_x,V_y,T_a)
% 3.99/4.05 | ~ c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_greaterThan__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_greaterThan__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.05 | ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_lessThan__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | 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))
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_lessThan__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(V_x,V_y,T_a)
% 3.99/4.05 | ~ 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)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(V_c,V_a,T_a)
% 3.99/4.05 | c_lessequals(V_b,V_a,T_a)
% 3.99/4.05 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(V_b,V_d,T_a)
% 3.99/4.05 | c_lessequals(V_b,V_a,T_a)
% 3.99/4.05 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_bot__empty__eq_0,axiom,
% 3.99/4.05 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_triples__valid__Suc_0,axiom,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts))
% 3.99/4.05 | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts)),V_ts)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_linorder__linear_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Olinorder(T_a)
% 3.99/4.05 | c_lessequals(V_y,V_x,T_a)
% 3.99/4.05 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_rev__predicate1D_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(V_Q,V_x))
% 3.99/4.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__eq__refl_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__eq__iff_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_predicate1D_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(V_Q,V_x))
% 3.99/4.05 | ~ hBOOL(hAPP(V_P,V_x))
% 3.99/4.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__trans_0,axiom,
% 3.99/4.05 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__refl_0,axiom,
% 3.99/4.05 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subset__iff_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_set__rev__mp_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_equalityE_0,axiom,
% 3.99/4.05 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_subsetD_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_set__mp_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__trans_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Opreorder(T_a)
% 3.99/4.05 | c_lessequals(V_x,V_z,T_a)
% 3.99/4.05 | ~ c_lessequals(V_y,V_z,T_a)
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_xt1_I6_J_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | c_lessequals(V_z,V_x,T_a)
% 3.99/4.05 | ~ c_lessequals(V_z,V_y,T_a)
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__antisym__conv_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | V_x = V_y
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a)
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__antisym_0,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | V_x = V_y
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a)
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_order__eq__iff_2,axiom,
% 3.99/4.05 ( ~ class_Orderings_Oorder(T_a)
% 3.99/4.05 | V_x = V_y
% 3.99/4.05 | ~ c_lessequals(V_y,V_x,T_a)
% 3.99/4.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_set__eq__subset_2,axiom,
% 3.99/4.05 ( V_A = V_B
% 3.99/4.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_equalityI_0,axiom,
% 3.99/4.05 ( V_A = V_B
% 3.99/4.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.99/4.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_mem__def_1,axiom,
% 3.99/4.05 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
% 3.99/4.05 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_mem__def_0,axiom,
% 3.99/4.05 ( hBOOL(hAPP(V_S,V_x))
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_le__funD_0,axiom,
% 3.99/4.05 ( ~ class_HOL_Oord(T_b)
% 3.99/4.05 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 3.99/4.05 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_conjecture_0,negated_conjecture,
% 3.99/4.05 c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_conjecture_1,negated_conjecture,
% 3.99/4.05 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_conjecture_2,negated_conjecture,
% 3.99/4.05 ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_conjecture_3,negated_conjecture,
% 3.99/4.05 ( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)
% 3.99/4.05 | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 3.99/4.05 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 3.99/4.05 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 3.99/4.05 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 3.99/4.05 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 3.99/4.05 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 3.99/4.05 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 3.99/4.05 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Orderings_Opreorder(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 3.99/4.05 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 3.99/4.05 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Orderings_Oorder(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__Orderings_Obot,axiom,
% 3.99/4.05 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_Orderings_Obot(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 3.99/4.05 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_HOL_Ouminus(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__HOL_Ominus,axiom,
% 3.99/4.05 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_HOL_Ominus(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_fun__HOL_Oord,axiom,
% 3.99/4.05 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 3.99/4.05 | ~ class_HOL_Oord(T_1) ) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 3.99/4.05 class_Lattices_Oupper__semilattice(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 3.99/4.05 class_Lattices_Olower__semilattice(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 3.99/4.05 class_Lattices_Odistrib__lattice(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 3.99/4.05 class_Orderings_Opreorder(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 3.99/4.05 class_Orderings_Olinorder(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 3.99/4.05 class_Lattices_Olattice(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 3.99/4.05 class_Orderings_Oorder(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__Orderings_Obot,axiom,
% 3.99/4.05 class_Orderings_Obot(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__HOL_Ominus,axiom,
% 3.99/4.05 class_HOL_Ominus(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_nat__HOL_Oord,axiom,
% 3.99/4.05 class_HOL_Oord(tc_nat) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 3.99/4.05 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 3.99/4.05 class_Lattices_Oupper__semilattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 3.99/4.05 class_Lattices_Olower__semilattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 3.99/4.05 class_Lattices_Odistrib__lattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 3.99/4.05 class_Lattices_Obounded__lattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 3.99/4.05 class_Lattices_Oboolean__algebra(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 3.99/4.05 class_Orderings_Opreorder(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 3.99/4.05 class_Lattices_Olattice(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 3.99/4.05 class_Orderings_Oorder(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__Orderings_Obot,axiom,
% 3.99/4.05 class_Orderings_Obot(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 3.99/4.05 class_HOL_Ouminus(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__HOL_Ominus,axiom,
% 3.99/4.05 class_HOL_Ominus(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(clsarity_bool__HOL_Oord,axiom,
% 3.99/4.05 class_HOL_Oord(tc_bool) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 3.99/4.05 c_fequal(V_x,V_x,T_a) ).
% 3.99/4.05
% 3.99/4.05 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 3.99/4.05 ( V_X = V_Y
% 3.99/4.05 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 3.99/4.05
% 3.99/4.05 %------------------------------------------------------------------------------
% 3.99/4.05 %-------------------------------------------
% 3.99/4.05 % Proof found
% 3.99/4.05 % SZS status Theorem for theBenchmark
% 3.99/4.05 % SZS output start Proof
% 3.99/4.05 %ClaNum:724(EqnAxiom:138)
% 3.99/4.05 %VarNum:4272(SingletonVarNum:1669)
% 3.99/4.05 %MaxLitNum:6
% 3.99/4.05 %MaxfuncDepth:5
% 3.99/4.05 %SharedTerms:48
% 3.99/4.05 %goalClause: 169 172 281 479
% 3.99/4.05 %singleGoalClaCount:3
% 3.99/4.05 [139]P1(a1)
% 3.99/4.05 [140]P13(a1)
% 3.99/4.05 [141]P13(a35)
% 3.99/4.05 [142]P14(a35)
% 3.99/4.05 [143]P15(a1)
% 3.99/4.05 [144]P15(a35)
% 3.99/4.05 [145]P17(a1)
% 3.99/4.05 [146]P17(a35)
% 3.99/4.05 [147]P18(a1)
% 3.99/4.05 [148]P18(a35)
% 3.99/4.05 [149]P2(a1)
% 3.99/4.05 [150]P3(a1)
% 3.99/4.05 [151]P3(a35)
% 3.99/4.05 [152]P11(a1)
% 3.99/4.05 [153]P11(a35)
% 3.99/4.05 [154]P4(a1)
% 3.99/4.05 [155]P24(a1)
% 3.99/4.05 [156]P24(a35)
% 3.99/4.05 [157]P16(a1)
% 3.99/4.05 [158]P16(a35)
% 3.99/4.05 [159]P19(a1)
% 3.99/4.05 [160]P19(a35)
% 3.99/4.05 [161]P12(a1)
% 3.99/4.05 [281]~P6(a37,a43,a2)
% 3.99/4.05 [169]P10(a38,a39,f36(f34(a2),a1))
% 3.99/4.05 [177]E(f16(f16(f23(a2),a37),f22(f36(a2,a1))),f16(f22(f36(a2,a1)),a37))
% 3.99/4.05 [172]P25(f16(f16(f23(f34(a2)),a43),a38))
% 3.99/4.05 [280]~E(f33(x2801),x2801)
% 3.99/4.05 [164]P5(x1641,x1641,x1642)
% 3.99/4.05 [166]P10(x1661,x1661,f36(x1662,a1))
% 3.99/4.05 [282]~P7(x2821,x2821,f36(x2822,a1))
% 3.99/4.05 [163]E(f16(f3(x1631),x1632),x1632)
% 3.99/4.05 [167]E(f17(x1671,x1671,f36(x1672,a1)),x1671)
% 3.99/4.05 [168]E(f18(x1681,x1681,f36(x1682,a1)),x1681)
% 3.99/4.05 [170]E(f19(x1701,x1701,f36(x1702,a1)),f22(f36(x1702,a1)))
% 3.99/4.05 [171]E(f20(f20(x1711,f36(x1712,a1)),f36(x1712,a1)),x1711)
% 3.99/4.05 [173]P10(f22(f36(x1731,a1)),x1732,f36(x1731,a1))
% 3.99/4.05 [174]E(f19(x1741,f22(f36(x1742,a1)),f36(x1742,a1)),x1741)
% 3.99/4.05 [175]E(f17(x1751,f22(f36(x1752,a1)),f36(x1752,a1)),x1751)
% 3.99/4.05 [176]E(f17(f22(f36(x1761,a1)),x1762,f36(x1761,a1)),x1762)
% 3.99/4.05 [180]E(f18(x1801,f22(f36(x1802,a1)),f36(x1802,a1)),f22(f36(x1802,a1)))
% 3.99/4.05 [181]E(f19(f22(f36(x1811,a1)),x1812,f36(x1811,a1)),f22(f36(x1811,a1)))
% 3.99/4.05 [182]E(f18(f22(f36(x1821,a1)),x1822,f36(x1821,a1)),f22(f36(x1821,a1)))
% 3.99/4.05 [183]E(f18(x1831,f20(x1831,f36(x1832,a1)),f36(x1832,a1)),f22(f36(x1832,a1)))
% 3.99/4.05 [184]E(f18(f20(x1841,f36(x1842,a1)),x1841,f36(x1842,a1)),f22(f36(x1842,a1)))
% 3.99/4.05 [197]E(f25(f3(x1971),x1972,x1971,x1971),x1972)
% 3.99/4.05 [198]E(f32(f3(x1981),x1982,x1981,x1981),x1982)
% 3.99/4.05 [285]~P7(x2851,f22(f36(x2852,a1)),f36(x2852,a1))
% 3.99/4.05 [277]E(f16(f17(f6(f23(a2),x2771,a2,f36(a2,a1),a1),f6(f23(a2),x2772,a2,f36(a2,a1),a1),f36(a2,a1)),a37),f16(f16(f23(a2),a37),f17(x2771,x2772,f36(a2,a1))))
% 3.99/4.05 [278]E(f16(f18(f6(f23(a2),x2781,a2,f36(a2,a1),a1),f6(f23(a2),x2782,a2,f36(a2,a1),a1),f36(a2,a1)),a37),f16(f16(f23(a2),a37),f18(x2781,x2782,f36(a2,a1))))
% 3.99/4.05 [286]~P25(f16(f22(f36(x2861,a1)),x2862))
% 3.99/4.05 [289]~P25(f16(f16(f23(x2891),x2892),f22(f36(x2891,a1))))
% 3.99/4.05 [186]P10(x1861,f24(x1862,x1861,x1863),f36(x1863,a1))
% 3.99/4.05 [178]E(f17(x1781,x1782,f36(x1783,a1)),f17(x1782,x1781,f36(x1783,a1)))
% 3.99/4.05 [179]E(f18(x1791,x1792,f36(x1793,a1)),f18(x1792,x1791,f36(x1793,a1)))
% 3.99/4.05 [188]E(f24(x1881,f24(x1881,x1882,x1883),x1883),f24(x1881,x1882,x1883))
% 3.99/4.05 [189]E(f18(x1891,f20(x1892,f36(x1893,a1)),f36(x1893,a1)),f19(x1891,x1892,f36(x1893,a1)))
% 3.99/4.05 [190]E(f19(x1901,f20(x1902,f36(x1903,a1)),f36(x1903,a1)),f18(x1901,x1902,f36(x1903,a1)))
% 3.99/4.05 [191]P10(x1911,f17(x1912,x1911,f36(x1913,a1)),f36(x1913,a1))
% 3.99/4.05 [192]P10(x1921,f17(x1921,x1922,f36(x1923,a1)),f36(x1923,a1))
% 3.99/4.05 [193]P10(f19(x1931,x1932,f36(x1933,a1)),x1931,f36(x1933,a1))
% 3.99/4.05 [194]P10(f18(x1941,x1942,f36(x1943,a1)),x1942,f36(x1943,a1))
% 3.99/4.05 [195]P10(f18(x1951,x1952,f36(x1953,a1)),x1951,f36(x1953,a1))
% 3.99/4.05 [196]P25(f16(f24(x1961,x1962,x1963),x1961))
% 3.99/4.05 [199]E(f18(x1991,f19(x1992,x1991,f36(x1993,a1)),f36(x1993,a1)),f22(f36(x1993,a1)))
% 3.99/4.05 [201]E(f17(x2011,f19(x2012,x2011,f36(x2013,a1)),f36(x2013,a1)),f17(x2011,x2012,f36(x2013,a1)))
% 3.99/4.05 [202]E(f17(x2021,f17(x2021,x2022,f36(x2023,a1)),f36(x2023,a1)),f17(x2021,x2022,f36(x2023,a1)))
% 3.99/4.05 [203]E(f18(x2031,f18(x2031,x2032,f36(x2033,a1)),f36(x2033,a1)),f18(x2031,x2032,f36(x2033,a1)))
% 3.99/4.05 [204]E(f19(f19(x2041,x2042,f36(x2043,a1)),x2042,f36(x2043,a1)),f19(x2041,x2042,f36(x2043,a1)))
% 3.99/4.05 [205]E(f17(f19(x2051,x2052,f36(x2053,a1)),x2052,f36(x2053,a1)),f17(x2051,x2052,f36(x2053,a1)))
% 3.99/4.05 [208]P25(f16(f16(f23(x2081),x2082),f24(x2082,x2083,x2081)))
% 3.99/4.05 [213]E(f17(f20(x2131,f36(x2132,a1)),x2133,f36(x2132,a1)),f20(f19(x2131,x2133,f36(x2132,a1)),f36(x2132,a1)))
% 3.99/4.05 [214]E(f17(f24(x2141,f22(f36(x2142,a1)),x2142),x2143,f36(x2142,a1)),f24(x2141,x2143,x2142))
% 3.99/4.05 [215]E(f17(f19(x2151,x2152,f36(x2153,a1)),f18(x2151,x2152,f36(x2153,a1)),f36(x2153,a1)),x2151)
% 3.99/4.05 [218]E(f18(f20(x2181,f36(x2182,a1)),f20(x2183,f36(x2182,a1)),f36(x2182,a1)),f20(f17(x2181,x2183,f36(x2182,a1)),f36(x2182,a1)))
% 3.99/4.05 [219]E(f17(f20(x2191,f36(x2192,a1)),f20(x2193,f36(x2192,a1)),f36(x2192,a1)),f20(f18(x2191,x2193,f36(x2192,a1)),f36(x2192,a1)))
% 3.99/4.05 [251]E(f14(x2511,f3(x2512),x2512,x2513,x2512),x2511)
% 3.99/4.05 [252]E(f15(x2521,f3(x2522),x2523,x2522,x2522),x2521)
% 3.99/4.05 [253]E(f14(f3(x2531),x2532,x2531,x2531,x2533),x2532)
% 3.99/4.05 [254]E(f15(f3(x2541),x2542,x2541,x2541,x2543),x2542)
% 3.99/4.05 [283]~E(f24(x2831,x2832,x2833),f22(f36(x2833,a1)))
% 3.99/4.05 [284]~E(f22(f36(x2841,a1)),f24(x2842,x2843,x2841))
% 3.99/4.05 [211]E(f25(x2111,f22(f36(x2112,a1)),x2112,x2113),f22(f36(x2113,a1)))
% 3.99/4.05 [212]E(f32(x2121,f22(f36(x2122,a1)),x2123,x2122),f22(f36(x2123,a1)))
% 3.99/4.05 [239]E(f24(x2391,f19(x2392,f24(x2391,f22(f36(x2393,a1)),x2393),f36(x2393,a1)),x2393),f24(x2391,x2392,x2393))
% 3.99/4.05 [209]E(f24(x2091,f24(x2092,x2093,x2094),x2094),f24(x2092,f24(x2091,x2093,x2094),x2094))
% 3.99/4.05 [220]E(f17(x2201,f17(x2202,x2203,f36(x2204,a1)),f36(x2204,a1)),f17(x2202,f17(x2201,x2203,f36(x2204,a1)),f36(x2204,a1)))
% 3.99/4.05 [221]E(f18(x2211,f18(x2212,x2213,f36(x2214,a1)),f36(x2214,a1)),f18(x2212,f18(x2211,x2213,f36(x2214,a1)),f36(x2214,a1)))
% 3.99/4.05 [222]E(f19(f18(x2221,x2222,f36(x2223,a1)),x2224,f36(x2223,a1)),f18(x2221,f19(x2222,x2224,f36(x2223,a1)),f36(x2223,a1)))
% 3.99/4.05 [223]E(f17(f17(x2231,x2232,f36(x2233,a1)),x2234,f36(x2233,a1)),f17(x2231,f17(x2232,x2234,f36(x2233,a1)),f36(x2233,a1)))
% 3.99/4.05 [224]E(f18(f18(x2241,x2242,f36(x2243,a1)),x2244,f36(x2243,a1)),f18(x2241,f18(x2242,x2244,f36(x2243,a1)),f36(x2243,a1)))
% 3.99/4.05 [228]E(f18(f19(x2281,x2282,f36(x2283,a1)),f19(x2281,x2284,f36(x2283,a1)),f36(x2283,a1)),f19(x2281,f17(x2282,x2284,f36(x2283,a1)),f36(x2283,a1)))
% 3.99/4.05 [229]E(f17(f19(x2291,x2292,f36(x2293,a1)),f19(x2291,x2294,f36(x2293,a1)),f36(x2293,a1)),f19(x2291,f18(x2292,x2294,f36(x2293,a1)),f36(x2293,a1)))
% 3.99/4.05 [230]E(f18(f17(x2301,x2302,f36(x2303,a1)),f17(x2301,x2304,f36(x2303,a1)),f36(x2303,a1)),f17(x2301,f18(x2302,x2304,f36(x2303,a1)),f36(x2303,a1)))
% 3.99/4.05 [231]E(f19(f18(x2311,x2312,f36(x2313,a1)),f18(x2311,x2314,f36(x2313,a1)),f36(x2313,a1)),f18(x2311,f19(x2312,x2314,f36(x2313,a1)),f36(x2313,a1)))
% 3.99/4.05 [232]E(f17(f18(x2321,x2322,f36(x2323,a1)),f18(x2321,x2324,f36(x2323,a1)),f36(x2323,a1)),f18(x2321,f17(x2322,x2324,f36(x2323,a1)),f36(x2323,a1)))
% 3.99/4.05 [233]E(f17(f19(x2331,x2332,f36(x2333,a1)),f19(x2334,x2332,f36(x2333,a1)),f36(x2333,a1)),f19(f17(x2331,x2334,f36(x2333,a1)),x2332,f36(x2333,a1)))
% 3.99/4.05 [234]E(f18(f17(x2341,x2342,f36(x2343,a1)),f17(x2344,x2342,f36(x2343,a1)),f36(x2343,a1)),f17(f18(x2341,x2344,f36(x2343,a1)),x2342,f36(x2343,a1)))
% 3.99/4.05 [235]E(f19(f18(x2351,x2352,f36(x2353,a1)),f18(x2354,x2352,f36(x2353,a1)),f36(x2353,a1)),f18(f19(x2351,x2354,f36(x2353,a1)),x2352,f36(x2353,a1)))
% 3.99/4.05 [236]E(f17(f18(x2361,x2362,f36(x2363,a1)),f18(x2364,x2362,f36(x2363,a1)),f36(x2363,a1)),f18(f17(x2361,x2364,f36(x2363,a1)),x2362,f36(x2363,a1)))
% 3.99/4.05 [237]E(f19(f18(x2371,x2372,f36(x2373,a1)),f18(x2374,x2372,f36(x2373,a1)),f36(x2373,a1)),f19(f18(x2371,x2372,f36(x2373,a1)),x2374,f36(x2373,a1)))
% 3.99/4.05 [238]E(f19(f19(x2381,x2382,f36(x2383,a1)),f24(x2384,f22(f36(x2383,a1)),x2383),f36(x2383,a1)),f19(x2381,f24(x2384,x2382,x2383),f36(x2383,a1)))
% 3.99/4.05 [240]E(f19(x2401,f4(f22(f36(x2402,a1)),x2403,x2402,f36(x2404,a1)),f36(x2404,a1)),x2401)
% 3.99/4.05 [241]E(f17(x2411,f4(f22(f36(x2412,a1)),x2413,x2412,f36(x2414,a1)),f36(x2414,a1)),x2411)
% 3.99/4.05 [242]E(f18(x2421,f5(f22(f36(x2422,a1)),x2423,x2422,f36(x2424,a1)),f36(x2424,a1)),x2421)
% 3.99/4.05 [243]E(f17(f4(f22(f36(x2431,a1)),x2432,x2431,f36(x2433,a1)),x2434,f36(x2433,a1)),x2434)
% 3.99/4.05 [244]E(f18(f5(f22(f36(x2441,a1)),x2442,x2441,f36(x2443,a1)),x2444,f36(x2443,a1)),x2444)
% 3.99/4.05 [246]E(f19(f19(x2461,f24(x2462,f22(f36(x2463,a1)),x2463),f36(x2463,a1)),x2464,f36(x2463,a1)),f19(x2461,f24(x2462,x2464,x2463),f36(x2463,a1)))
% 3.99/4.05 [259]P10(f25(x2591,f32(x2591,x2592,x2593,x2594),x2593,x2594),x2592,f36(x2594,a1))
% 3.99/4.05 [263]E(f18(f18(f17(x2631,x2632,f36(x2633,a1)),f17(x2632,x2634,f36(x2633,a1)),f36(x2633,a1)),f17(x2634,x2631,f36(x2633,a1)),f36(x2633,a1)),f17(f17(f18(x2631,x2632,f36(x2633,a1)),f18(x2632,x2634,f36(x2633,a1)),f36(x2633,a1)),f18(x2634,x2631,f36(x2633,a1)),f36(x2633,a1)))
% 3.99/4.05 [216]E(f24(x2161,f17(x2162,x2163,f36(x2164,a1)),x2164),f17(x2162,f24(x2161,x2163,x2164),f36(x2164,a1)))
% 3.99/4.05 [217]E(f24(x2171,f17(x2172,x2173,f36(x2174,a1)),x2174),f17(f24(x2171,x2172,x2174),x2173,f36(x2174,a1)))
% 3.99/4.05 [225]E(f18(f24(x2251,x2252,x2253),f24(x2251,x2254,x2253),f36(x2253,a1)),f24(x2251,f18(x2252,x2254,f36(x2253,a1)),x2253))
% 3.99/4.05 [245]E(f24(x2451,f4(f22(f36(x2452,a1)),x2453,x2452,f36(x2454,a1)),x2454),f24(x2451,f22(f36(x2454,a1)),x2454))
% 3.99/4.05 [247]E(f32(x2471,f20(x2472,f36(x2473,a1)),x2474,x2473),f20(f32(x2471,x2472,x2474,x2473),f36(x2474,a1)))
% 3.99/4.05 [264]P25(f16(f16(f23(x2641),x2642),f32(x2643,f24(f16(x2643,x2642),f22(f36(x2644,a1)),x2644),x2641,x2644)))
% 3.99/4.05 [248]E(f25(x2481,f24(x2482,x2483,x2484),x2484,x2485),f24(f16(x2481,x2482),f25(x2481,x2483,x2484,x2485),x2485))
% 3.99/4.05 [249]E(f4(f24(x2491,x2492,x2493),x2494,x2493,f36(x2495,a1)),f17(f16(x2494,x2491),f4(x2492,x2494,x2493,f36(x2495,a1)),f36(x2495,a1)))
% 3.99/4.05 [250]E(f5(f24(x2501,x2502,x2503),x2504,x2503,f36(x2505,a1)),f18(f16(x2504,x2501),f5(x2502,x2504,x2503,f36(x2505,a1)),f36(x2505,a1)))
% 3.99/4.05 [260]E(f17(f4(x2601,x2602,x2603,f36(x2604,a1)),f4(x2605,x2602,x2603,f36(x2604,a1)),f36(x2604,a1)),f4(f17(x2601,x2605,f36(x2603,a1)),x2602,x2603,f36(x2604,a1)))
% 3.99/4.05 [261]E(f18(f5(x2611,x2612,x2613,f36(x2614,a1)),f5(x2615,x2612,x2613,f36(x2614,a1)),f36(x2614,a1)),f5(f17(x2611,x2615,f36(x2613,a1)),x2612,x2613,f36(x2614,a1)))
% 3.99/4.05 [262]E(f17(f32(x2621,f24(x2622,f22(f36(x2623,a1)),x2623),x2624,x2623),f32(x2621,x2625,x2624,x2623),f36(x2624,a1)),f32(x2621,f24(x2622,x2625,x2623),x2624,x2623))
% 3.99/4.05 [255]E(f17(f25(x2551,x2552,x2553,x2554),f25(x2551,x2555,x2553,x2554),f36(x2554,a1)),f25(x2551,f17(x2552,x2555,f36(x2553,a1)),x2553,x2554))
% 3.99/4.05 [256]E(f19(f32(x2561,x2562,x2563,x2564),f32(x2561,x2565,x2563,x2564),f36(x2563,a1)),f32(x2561,f19(x2562,x2565,f36(x2564,a1)),x2563,x2564))
% 3.99/4.05 [257]E(f17(f32(x2571,x2572,x2573,x2574),f32(x2571,x2575,x2573,x2574),f36(x2573,a1)),f32(x2571,f17(x2572,x2575,f36(x2574,a1)),x2573,x2574))
% 3.99/4.05 [258]E(f18(f32(x2581,x2582,x2583,x2584),f32(x2581,x2585,x2583,x2584),f36(x2583,a1)),f32(x2581,f18(x2582,x2585,f36(x2584,a1)),x2583,x2584))
% 3.99/4.05 [271]P10(f25(x2711,f18(x2712,x2713,f36(x2714,a1)),x2714,x2715),f18(f25(x2711,x2712,x2714,x2715),f25(x2711,x2713,x2714,x2715),f36(x2715,a1)),f36(x2715,a1))
% 3.99/4.05 [272]P10(f19(f25(x2721,x2722,x2723,x2724),f25(x2721,x2725,x2723,x2724),f36(x2724,a1)),f25(x2721,f19(x2722,x2725,f36(x2723,a1)),x2723,x2724),f36(x2724,a1))
% 3.99/4.05 [268]E(f16(f14(x2681,x2682,x2683,x2684,x2685),x2686),f16(x2681,f16(x2682,x2686)))
% 3.99/4.05 [269]E(f16(f15(x2691,x2692,x2693,x2694,x2695),x2696),f16(x2692,f16(x2691,x2696)))
% 3.99/4.05 [270]E(f16(f6(x2701,x2702,x2703,x2704,x2705),x2706),f16(f16(x2701,x2706),x2702))
% 3.99/4.05 [273]E(f25(f14(x2731,x2732,x2733,x2734,x2735),x2736,x2735,x2734),f25(x2731,f25(x2732,x2736,x2735,x2733),x2733,x2734))
% 3.99/4.05 [274]E(f32(f14(x2741,x2742,x2743,x2744,x2745),x2746,x2745,x2744),f32(x2742,f32(x2741,x2746,x2743,x2744),x2745,x2743))
% 3.99/4.05 [275]E(f14(x2751,f14(x2752,x2753,x2754,x2755,x2756),x2755,x2757,x2756),f14(f14(x2751,x2752,x2755,x2757,x2754),x2753,x2754,x2757,x2756))
% 3.99/4.05 [276]E(f15(f15(x2761,x2762,x2763,x2764,x2765),x2766,x2763,x2765,x2767),f15(x2761,f15(x2762,x2766,x2764,x2765,x2767),x2763,x2764,x2767))
% 3.99/4.05 [325]~P19(x3251)+E(f16(f22(f36(a2,x3251)),a37),f22(x3251))
% 3.99/4.05 [326]~P4(x3261)+E(f12(f22(f36(x3261,a1)),x3261),f22(x3261))
% 3.99/4.05 [479]P6(a37,x4791,a2)+~P25(f16(f16(f23(f34(a2)),x4791),a39))
% 3.99/4.05 [316]~P13(x3162)+P10(x3161,x3161,x3162)
% 3.99/4.05 [317]~P24(x3172)+P10(x3171,x3171,x3172)
% 3.99/4.05 [334]~P7(x3342,x3342,x3341)+~P13(x3341)
% 3.99/4.05 [335]~P7(x3352,x3352,x3351)+~P14(x3351)
% 3.99/4.05 [336]~P7(x3362,x3362,x3361)+~P24(x3361)
% 3.99/4.05 [291]E(x2911,x2912)+~E(f33(x2911),f33(x2912))
% 3.99/4.05 [292]~P1(x2922)+P1(f36(x2921,x2922))
% 3.99/4.05 [293]~P13(x2932)+P13(f36(x2931,x2932))
% 3.99/4.05 [294]~P15(x2942)+P15(f36(x2941,x2942))
% 3.99/4.05 [295]~P15(x2952)+P17(f36(x2951,x2952))
% 3.99/4.05 [296]~P15(x2962)+P18(f36(x2961,x2962))
% 3.99/4.05 [297]~P2(x2972)+P2(f36(x2971,x2972))
% 3.99/4.05 [298]~P3(x2982)+P3(f36(x2981,x2982))
% 3.99/4.05 [299]~P11(x2992)+P11(f36(x2991,x2992))
% 3.99/4.05 [300]~P4(x3002)+P4(f36(x3001,x3002))
% 3.99/4.05 [301]~P24(x3012)+P24(f36(x3011,x3012))
% 3.99/4.05 [302]~P16(x3022)+P16(f36(x3021,x3022))
% 3.99/4.05 [303]~P19(x3032)+P19(f36(x3031,x3032))
% 3.99/4.05 [304]~P12(x3042)+P12(f36(x3041,x3042))
% 3.99/4.05 [318]~P18(x3182)+E(f17(x3181,x3181,x3182),x3181)
% 3.99/4.05 [319]~P17(x3192)+E(f18(x3191,x3191,x3192),x3191)
% 3.99/4.05 [320]~P19(x3201)+P10(f22(x3201),x3202,x3201)
% 3.99/4.05 [307]~P2(x3072)+E(f20(f20(x3071,x3072),x3072),x3071)
% 3.99/4.05 [309]~P20(x3092)+E(f20(f20(x3091,x3092),x3092),x3091)
% 3.99/4.05 [321]~P1(x3212)+E(f17(x3211,f22(x3212),x3212),x3211)
% 3.99/4.05 [322]~P1(x3221)+E(f17(f22(x3221),x3222,x3221),x3222)
% 3.99/4.05 [323]~P1(x3232)+E(f18(x3231,f22(x3232),x3232),f22(x3232))
% 3.99/4.05 [324]~P1(x3241)+E(f18(f22(x3241),x3242,x3241),f22(x3241))
% 3.99/4.05 [327]~P14(x3272)+E(f20(f26(x3271,x3272),f36(x3272,a1)),f27(x3271,x3272))
% 3.99/4.05 [328]~P14(x3282)+E(f20(f27(x3281,x3282),f36(x3282,a1)),f26(x3281,x3282))
% 3.99/4.05 [329]~P14(x3292)+E(f20(f28(x3291,x3292),f36(x3292,a1)),f31(x3291,x3292))
% 3.99/4.05 [330]~P14(x3302)+E(f20(f31(x3301,x3302),f36(x3302,a1)),f28(x3301,x3302))
% 3.99/4.05 [332]~P2(x3322)+E(f18(x3321,f20(x3321,x3322),x3322),f22(x3322))
% 3.99/4.05 [333]~P2(x3332)+E(f18(f20(x3331,x3332),x3331,x3332),f22(x3332))
% 3.99/4.05 [450]~P10(x4501,f22(f36(x4502,a1)),f36(x4502,a1))+E(x4501,f22(f36(x4502,a1)))
% 3.99/4.05 [491]~P10(x4911,f20(x4911,f36(x4912,a1)),f36(x4912,a1))+E(x4911,f22(f36(x4912,a1)))
% 3.99/4.05 [542]~P14(x5422)+E(f17(f26(x5421,x5422),f24(x5421,f22(f36(x5422,a1)),x5422),f36(x5422,a1)),f28(x5421,x5422))
% 3.99/4.05 [543]~P14(x5432)+E(f17(f24(x5431,f22(f36(x5432,a1)),x5432),f31(x5431,x5432),f36(x5432,a1)),f27(x5431,x5432))
% 3.99/4.05 [354]~P12(x3542)+E(f16(f20(x3541,f36(a2,x3542)),a37),f20(f16(x3541,a37),x3542))
% 3.99/4.05 [378]~P13(x3782)+E(f29(x3781,x3781,x3782),f24(x3781,f22(f36(x3782,a1)),x3782))
% 3.99/4.05 [468]~P13(x4682)+E(f18(f28(x4681,x4682),f27(x4681,x4682),f36(x4682,a1)),f24(x4681,f22(f36(x4682,a1)),x4682))
% 3.99/4.05 [578]~P13(x5782)+E(f19(f24(x5781,f22(f36(x5782,a1)),x5782),f26(x5781,x5782),f36(x5782,a1)),f24(x5781,f22(f36(x5782,a1)),x5782))
% 3.99/4.05 [451]~P4(x4512)+E(f13(f24(x4511,f22(f36(x4512,a1)),x4512),x4512),x4511)
% 3.99/4.05 [452]~P4(x4522)+E(f12(f24(x4521,f22(f36(x4522,a1)),x4522),x4522),x4521)
% 3.99/4.05 [331]E(x3311,x3312)+~P5(x3311,x3312,x3313)
% 3.99/4.05 [339]~P15(x3393)+E(f17(x3391,x3392,x3393),f17(x3392,x3391,x3393))
% 3.99/4.05 [340]~P18(x3403)+E(f17(x3401,x3402,x3403),f17(x3402,x3401,x3403))
% 3.99/4.05 [341]~P15(x3413)+E(f18(x3411,x3412,x3413),f18(x3412,x3411,x3413))
% 3.99/4.05 [342]~P17(x3423)+E(f18(x3421,x3422,x3423),f18(x3422,x3421,x3423))
% 3.99/4.05 [376]P6(x3761,x3762,x3763)+~P6(f33(x3761),x3762,x3763)
% 3.99/4.05 [379]~P15(x3793)+P10(x3791,f17(x3792,x3791,x3793),x3793)
% 3.99/4.05 [380]~P18(x3803)+P10(x3801,f17(x3802,x3801,x3803),x3803)
% 3.99/4.05 [381]~P15(x3813)+P10(x3811,f17(x3811,x3812,x3813),x3813)
% 3.99/4.05 [382]~P18(x3823)+P10(x3821,f17(x3821,x3822,x3823),x3823)
% 3.99/4.05 [383]~P15(x3833)+P10(f18(x3831,x3832,x3833),x3832,x3833)
% 3.99/4.05 [384]~P17(x3843)+P10(f18(x3841,x3842,x3843),x3842,x3843)
% 3.99/4.05 [385]~P15(x3853)+P10(f18(x3851,x3852,x3853),x3851,x3853)
% 3.99/4.05 [386]~P17(x3863)+P10(f18(x3861,x3862,x3863),x3861,x3863)
% 3.99/4.05 [409]~P7(x4091,x4092,f36(x4093,a1))+P10(x4091,x4092,f36(x4093,a1))
% 3.99/4.06 [348]E(x3481,x3482)+~E(f20(x3481,f36(x3483,a1)),f20(x3482,f36(x3483,a1)))
% 3.99/4.06 [355]~P2(x3553)+E(f18(x3551,f20(x3552,x3553),x3553),f19(x3551,x3552,x3553))
% 3.99/4.06 [387]~P15(x3873)+E(f17(x3871,f18(x3871,x3872,x3873),x3873),x3871)
% 3.99/4.06 [388]~P15(x3883)+E(f18(x3881,f17(x3881,x3882,x3883),x3883),x3881)
% 3.99/4.06 [404]~P21(x4043)+E(f20(f19(x4041,x4042,x4043),x4043),f19(x4042,x4041,x4043))
% 3.99/4.06 [405]E(x4051,f22(f36(x4052,a1)))+~E(f17(x4053,x4051,f36(x4052,a1)),f22(f36(x4052,a1)))
% 3.99/4.06 [406]E(x4061,f22(f36(x4062,a1)))+~E(f17(x4061,x4063,f36(x4062,a1)),f22(f36(x4062,a1)))
% 3.99/4.06 [407]P8(x4071,x4072,x4073)+~P10(x4072,x4071,f36(f34(x4073),a1))
% 3.99/4.06 [414]~P10(x4141,x4142,f36(x4143,a1))+E(f17(x4141,x4142,f36(x4143,a1)),x4142)
% 3.99/4.06 [415]~P10(x4152,x4151,f36(x4153,a1))+E(f17(x4151,x4152,f36(x4153,a1)),x4151)
% 3.99/4.06 [416]~P10(x4162,x4161,f36(x4163,a1))+E(f18(x4161,x4162,f36(x4163,a1)),x4162)
% 3.99/4.06 [417]~P10(x4171,x4172,f36(x4173,a1))+E(f18(x4171,x4172,f36(x4173,a1)),x4171)
% 3.99/4.06 [418]P10(x4181,x4182,f36(x4183,a1))+~E(f17(x4181,x4182,f36(x4183,a1)),x4182)
% 3.99/4.06 [422]~P4(x4223)+E(f18(x4221,f13(x4222,x4223),x4223),f13(f24(x4221,x4222,x4223),x4223))
% 3.99/4.06 [423]~P4(x4233)+E(f17(x4231,f12(x4232,x4233),x4233),f12(f24(x4231,x4232,x4233),x4233))
% 3.99/4.06 [438]~P15(x4383)+E(f17(x4381,f17(x4381,x4382,x4383),x4383),f17(x4381,x4382,x4383))
% 3.99/4.06 [439]~P18(x4393)+E(f17(x4391,f17(x4391,x4392,x4393),x4393),f17(x4391,x4392,x4393))
% 3.99/4.06 [440]~P15(x4403)+E(f18(x4401,f18(x4401,x4402,x4403),x4403),f18(x4401,x4402,x4403))
% 3.99/4.06 [441]~P17(x4413)+E(f18(x4411,f18(x4411,x4412,x4413),x4413),f18(x4411,x4412,x4413))
% 3.99/4.06 [453]~P2(x4532)+E(f18(f20(x4531,x4532),f20(x4533,x4532),x4532),f20(f17(x4531,x4533,x4532),x4532))
% 3.99/4.06 [454]~P23(x4542)+E(f18(f20(x4541,x4542),f20(x4543,x4542),x4542),f20(f17(x4541,x4543,x4542),x4542))
% 3.99/4.06 [455]~P2(x4552)+E(f17(f20(x4551,x4552),f20(x4553,x4552),x4552),f20(f18(x4551,x4553,x4552),x4552))
% 3.99/4.06 [456]~P23(x4562)+E(f17(f20(x4561,x4562),f20(x4563,x4562),x4562),f20(f18(x4561,x4563,x4562),x4562))
% 3.99/4.06 [467]E(f19(x4671,x4672,f36(x4673,a1)),x4671)+~E(f18(x4671,x4672,f36(x4673,a1)),f22(f36(x4673,a1)))
% 3.99/4.06 [469]~P13(x4692)+E(f18(f26(x4691,x4692),f29(x4691,x4693,x4692),f36(x4692,a1)),f22(f36(x4692,a1)))
% 3.99/4.06 [470]~P13(x4702)+E(f18(f26(x4701,x4702),f30(x4701,x4703,x4702),f36(x4702,a1)),f22(f36(x4702,a1)))
% 3.99/4.06 [471]~P13(x4713)+E(f18(f29(x4711,x4712,x4713),f31(x4712,x4713),f36(x4713,a1)),f22(f36(x4713,a1)))
% 3.99/4.06 [472]~P13(x4723)+E(f18(f30(x4721,x4722,x4723),f27(x4722,x4723),f36(x4723,a1)),f22(f36(x4723,a1)))
% 3.99/4.06 [510]P10(x5101,f20(x5102,f36(x5103,a1)),f36(x5103,a1))+~E(f18(x5101,x5102,f36(x5103,a1)),f22(f36(x5103,a1)))
% 3.99/4.06 [527]P10(x5271,x5272,f36(x5273,a1))+P25(f16(x5271,f7(x5271,x5272,x5273)))
% 3.99/4.06 [546]~P10(x5461,f20(x5462,f36(x5463,a1)),f36(x5463,a1))+E(f18(x5461,x5462,f36(x5463,a1)),f22(f36(x5463,a1)))
% 3.99/4.06 [554]~P10(x5543,x5541,f36(x5542,a1))+P10(f20(x5541,f36(x5542,a1)),f20(x5543,f36(x5542,a1)),f36(x5542,a1))
% 3.99/4.06 [555]~P10(x5551,x5552,f36(x5553,a1))+E(f17(x5551,f19(x5552,x5551,f36(x5553,a1)),f36(x5553,a1)),x5552)
% 3.99/4.06 [577]P10(x5771,x5772,f36(x5773,a1))+~P10(f20(x5772,f36(x5773,a1)),f20(x5771,f36(x5773,a1)),f36(x5773,a1))
% 3.99/4.06 [593]P10(x5931,x5932,f36(x5933,a1))+~P25(f16(x5932,f7(x5931,x5932,x5933)))
% 3.99/4.06 [721]E(x7211,x7212)+~E(f6(f23(x7213),x7211,x7213,f36(x7213,a1),a1),f6(f23(x7213),x7212,x7213,f36(x7213,a1),a1))
% 3.99/4.06 [723]~P10(x7232,x7233,f36(x7231,a1))+P10(f6(f23(x7231),x7232,x7231,f36(x7231,a1),a1),f6(f23(x7231),x7233,x7231,f36(x7231,a1),a1),f36(x7231,a1))
% 3.99/4.06 [724]P10(x7241,x7242,f36(x7243,a1))+~P10(f6(f23(x7243),x7241,x7243,f36(x7243,a1),a1),f6(f23(x7243),x7242,x7243,f36(x7243,a1),a1),f36(x7243,a1))
% 3.99/4.06 [377]~P25(f16(x3773,x3772))+P25(f16(f16(f23(x3771),x3772),x3773))
% 3.99/4.06 [408]P25(f16(x4081,x4082))+~P25(f16(f16(f23(x4083),x4082),x4081))
% 3.99/4.06 [446]E(f24(x4461,x4462,x4463),x4462)+~P25(f16(f16(f23(x4463),x4461),x4462))
% 3.99/4.06 [496]~P3(x4963)+E(f19(f16(x4961,a37),f16(x4962,a37),x4963),f16(f19(x4961,x4962,f36(a2,x4963)),a37))
% 3.99/4.06 [497]~P15(x4973)+E(f17(f16(x4971,a37),f16(x4972,a37),x4973),f16(f17(x4971,x4972,f36(a2,x4973)),a37))
% 3.99/4.06 [498]~P15(x4983)+E(f18(f16(x4981,a37),f16(x4982,a37),x4983),f16(f18(x4981,x4982,f36(a2,x4983)),a37))
% 3.99/4.06 [501]~P23(x5012)+E(f20(f18(f20(x5011,x5012),f20(x5013,x5012),x5012),x5012),f17(x5011,x5013,x5012))
% 3.99/4.06 [502]~P23(x5022)+E(f20(f17(f20(x5021,x5022),f20(x5023,x5022),x5022),x5022),f18(x5021,x5023,x5022))
% 3.99/4.06 [544]E(x5441,x5442)+~E(f24(x5441,f22(f36(x5443,a1)),x5443),f24(x5442,f22(f36(x5443,a1)),x5443))
% 3.99/4.06 [557]P25(f16(f16(f23(x5571),x5572),x5573))+P25(f16(f16(f23(x5571),x5572),f20(x5573,f36(x5571,a1))))
% 3.99/4.06 [610]E(f19(f24(x6101,x6102,x6103),f24(x6101,f22(f36(x6103,a1)),x6103),f36(x6103,a1)),x6102)+P25(f16(f16(f23(x6103),x6101),x6102))
% 3.99/4.06 [622]~P25(f16(f16(f23(x6221),x6222),x6223))+~P25(f16(f16(f23(x6221),x6222),f20(x6223,f36(x6221,a1))))
% 3.99/4.06 [641]P10(x6411,x6412,f36(x6413,a1))+P25(f16(f16(f23(x6413),f10(x6411,x6412,x6413)),x6411))
% 3.99/4.06 [642]P10(x6421,x6422,f36(x6423,a1))+P25(f16(f16(f23(x6423),f11(x6421,x6422,x6423)),x6421))
% 3.99/4.06 [661]E(f24(x6611,f19(x6612,f24(x6611,f22(f36(x6613,a1)),x6613),f36(x6613,a1)),x6613),x6612)+~P25(f16(f16(f23(x6613),x6611),x6612))
% 3.99/4.06 [674]P10(x6741,x6742,f36(x6743,a1))+~P25(f16(f16(f23(x6743),f10(x6741,x6742,x6743)),x6742))
% 3.99/4.06 [675]P10(x6751,x6752,f36(x6753,a1))+~P25(f16(f16(f23(x6753),f11(x6751,x6752,x6753)),x6752))
% 3.99/4.06 [666]E(x6661,x6662)+~P25(f16(f16(f23(x6663),x6661),f24(x6662,f22(f36(x6663,a1)),x6663)))
% 3.99/4.06 [635]~P4(x6353)+E(f13(f24(x6351,f24(x6352,f22(f36(x6353,a1)),x6353),x6353),x6353),f18(x6351,x6352,x6353))
% 3.99/4.06 [636]~P4(x6363)+E(f12(f24(x6361,f24(x6362,f22(f36(x6363,a1)),x6363),x6363),x6363),f17(x6361,x6362,x6363))
% 3.99/4.06 [505]~P10(x5051,x5053,f36(x5054,a1))+P10(x5051,f24(x5052,x5053,x5054),f36(x5054,a1))
% 3.99/4.06 [559]~P10(f24(x5594,x5591,x5593),x5592,f36(x5593,a1))+P10(x5591,x5592,f36(x5593,a1))
% 3.99/4.06 [573]~P10(x5732,x5734,f36(x5733,a1))+P10(f24(x5731,x5732,x5733),f24(x5731,x5734,x5733),f36(x5733,a1))
% 3.99/4.06 [503]~P25(f16(x5032,x5034))+P25(f16(f24(x5031,x5032,x5033),x5034))
% 3.99/4.06 [532]~P13(x5323)+E(f18(f30(x5321,x5322,x5323),f29(x5322,x5324,x5323),f36(x5323,a1)),f22(f36(x5323,a1)))
% 3.99/4.06 [533]~P13(x5333)+E(f18(f30(x5331,x5332,x5333),f30(x5332,x5334,x5333),f36(x5333,a1)),f22(f36(x5333,a1)))
% 3.99/4.06 [534]~P15(x5344)+E(f17(x5341,f17(x5342,x5343,x5344),x5344),f17(x5342,f17(x5341,x5343,x5344),x5344))
% 3.99/4.06 [535]~P18(x5354)+E(f17(x5351,f17(x5352,x5353,x5354),x5354),f17(x5352,f17(x5351,x5353,x5354),x5354))
% 3.99/4.06 [536]~P15(x5364)+E(f18(x5361,f18(x5362,x5363,x5364),x5364),f18(x5362,f18(x5361,x5363,x5364),x5364))
% 3.99/4.06 [537]~P17(x5374)+E(f18(x5371,f18(x5372,x5373,x5374),x5374),f18(x5372,f18(x5371,x5373,x5374),x5374))
% 3.99/4.06 [538]~P15(x5383)+E(f17(f17(x5381,x5382,x5383),x5384,x5383),f17(x5381,f17(x5382,x5384,x5383),x5383))
% 3.99/4.06 [539]~P18(x5393)+E(f17(f17(x5391,x5392,x5393),x5394,x5393),f17(x5391,f17(x5392,x5394,x5393),x5393))
% 3.99/4.06 [540]~P15(x5403)+E(f18(f18(x5401,x5402,x5403),x5404,x5403),f18(x5401,f18(x5402,x5404,x5403),x5403))
% 3.99/4.06 [541]~P17(x5413)+E(f18(f18(x5411,x5412,x5413),x5414,x5413),f18(x5411,f18(x5412,x5414,x5413),x5413))
% 3.99/4.06 [581]~P16(x5813)+E(f18(f17(x5811,x5812,x5813),f17(x5811,x5814,x5813),x5813),f17(x5811,f18(x5812,x5814,x5813),x5813))
% 3.99/4.06 [582]~P16(x5823)+E(f17(f18(x5821,x5822,x5823),f18(x5821,x5824,x5823),x5823),f18(x5821,f17(x5822,x5824,x5823),x5823))
% 3.99/4.06 [583]~P16(x5833)+E(f18(f17(x5831,x5832,x5833),f17(x5834,x5832,x5833),x5833),f17(f18(x5831,x5834,x5833),x5832,x5833))
% 3.99/4.06 [584]~P16(x5843)+E(f17(f18(x5841,x5842,x5843),f18(x5844,x5842,x5843),x5843),f18(f17(x5841,x5844,x5843),x5842,x5843))
% 3.99/4.06 [586]P10(x5861,x5862,f36(x5863,a1))+~P10(x5861,f18(x5864,x5862,f36(x5863,a1)),f36(x5863,a1))
% 3.99/4.06 [587]P10(x5871,x5872,f36(x5873,a1))+~P10(x5871,f18(x5872,x5874,f36(x5873,a1)),f36(x5873,a1))
% 3.99/4.06 [588]P10(x5881,x5882,f36(x5883,a1))+~P10(f17(x5884,x5881,f36(x5883,a1)),x5882,f36(x5883,a1))
% 3.99/4.06 [589]P10(x5891,x5892,f36(x5893,a1))+~P10(f17(x5891,x5894,f36(x5893,a1)),x5892,f36(x5893,a1))
% 3.99/4.06 [592]~E(f25(x5923,x5921,x5922,x5924),f22(f36(x5924,a1)))+E(x5921,f22(f36(x5922,a1)))
% 3.99/4.06 [630]~P10(x6303,x6301,f36(x6304,a1))+E(f18(x6301,f17(x6302,x6303,f36(x6304,a1)),f36(x6304,a1)),f17(f18(x6301,x6302,f36(x6304,a1)),x6303,f36(x6304,a1)))
% 3.99/4.06 [633]~P10(f19(x6331,x6332,f36(x6334,a1)),x6333,f36(x6334,a1))+P10(x6331,f17(x6332,x6333,f36(x6334,a1)),f36(x6334,a1))
% 3.99/4.06 [634]~P10(x6341,f17(x6342,x6344,f36(x6343,a1)),f36(x6343,a1))+P10(f19(x6341,x6342,f36(x6343,a1)),x6344,f36(x6343,a1))
% 3.99/4.06 [662]P10(x6621,x6622,f36(x6623,a1))+~E(f18(x6622,f17(x6624,x6621,f36(x6623,a1)),f36(x6623,a1)),f17(f18(x6622,x6624,f36(x6623,a1)),x6621,f36(x6623,a1)))
% 3.99/4.06 [672]~P15(x6724)+P10(f17(x6721,f18(x6722,x6723,x6724),x6724),f18(f17(x6721,x6722,x6724),f17(x6721,x6723,x6724),x6724),x6724)
% 3.99/4.06 [673]~P15(x6733)+P10(f17(f18(x6731,x6732,x6733),f18(x6731,x6734,x6733),x6733),f18(x6731,f17(x6732,x6734,x6733),x6733),x6733)
% 3.99/4.06 [560]E(f18(x5601,f24(x5602,x5603,x5604),f36(x5604,a1)),f18(x5601,x5603,f36(x5604,a1)))+P25(f16(f16(f23(x5604),x5602),x5601))
% 3.99/4.06 [561]E(f18(f24(x5611,x5612,x5613),x5614,f36(x5613,a1)),f18(x5612,x5614,f36(x5613,a1)))+P25(f16(f16(f23(x5613),x5611),x5614))
% 3.99/4.06 [563]~P25(f16(x5632,x5634))+P25(f16(f17(x5631,x5632,f36(x5633,a1)),x5634))
% 3.99/4.06 [564]~P25(f16(x5641,x5644))+P25(f16(f17(x5641,x5642,f36(x5643,a1)),x5644))
% 3.99/4.06 [567]~P10(f24(x5672,x5674,x5671),x5673,f36(x5671,a1))+P25(f16(f16(f23(x5671),x5672),x5673))
% 3.99/4.06 [579]E(f19(f24(x5791,x5792,x5793),x5794,f36(x5793,a1)),f19(x5792,x5794,f36(x5793,a1)))+~P25(f16(f16(f23(x5793),x5791),x5794))
% 3.99/4.06 [606]P25(f16(f16(f23(x6061),x6062),f24(x6063,x6064,x6061)))+~P25(f16(f16(f23(x6061),x6062),x6064))
% 3.99/4.06 [608]E(f19(f24(x6081,x6082,x6083),x6084,f36(x6083,a1)),f24(x6081,f19(x6082,x6084,f36(x6083,a1)),x6083))+P25(f16(f16(f23(x6083),x6081),x6084))
% 3.99/4.06 [618]P25(f16(x6181,x6182))+~P25(f16(f18(x6183,x6181,f36(x6184,a1)),x6182))
% 3.99/4.06 [619]P25(f16(x6191,x6192))+~P25(f16(f18(x6191,x6193,f36(x6194,a1)),x6192))
% 3.99/4.06 [620]E(f24(x6201,f18(x6202,x6203,f36(x6204,a1)),x6204),f18(x6202,f24(x6201,x6203,x6204),f36(x6204,a1)))+~P25(f16(f16(f23(x6204),x6201),x6202))
% 3.99/4.06 [621]E(f24(x6211,f18(x6212,x6213,f36(x6214,a1)),x6214),f18(f24(x6211,x6212,x6214),x6213,f36(x6214,a1)))+~P25(f16(f16(f23(x6214),x6211),x6213))
% 3.99/4.06 [626]~P25(f16(f16(f23(x6261),x6262),x6264))+P25(f16(f16(f23(x6261),x6262),f17(x6263,x6264,f36(x6261,a1))))
% 3.99/4.06 [627]~P25(f16(f16(f23(x6271),x6272),x6273))+P25(f16(f16(f23(x6271),x6272),f17(x6273,x6274,f36(x6271,a1))))
% 3.99/4.06 [658]P25(f16(f16(f23(x6581),x6582),x6583))+~P25(f16(f16(f23(x6581),x6582),f19(x6583,x6584,f36(x6581,a1))))
% 3.99/4.06 [659]P25(f16(f16(f23(x6591),x6592),x6593))+~P25(f16(f16(f23(x6591),x6592),f18(x6594,x6593,f36(x6591,a1))))
% 3.99/4.06 [660]P25(f16(f16(f23(x6601),x6602),x6603))+~P25(f16(f16(f23(x6601),x6602),f18(x6603,x6604,f36(x6601,a1))))
% 3.99/4.06 [665]~P25(f16(f16(f23(x6651),x6652),x6653))+~P25(f16(f16(f23(x6651),x6652),f19(x6654,x6653,f36(x6651,a1))))
% 3.99/4.06 [682]~P10(x6822,x6825,f36(x6823,a1))+P10(f25(x6821,x6822,x6823,x6824),f25(x6821,x6825,x6823,x6824),f36(x6824,a1))
% 3.99/4.06 [683]~P10(x6832,x6835,f36(x6834,a1))+P10(f32(x6831,x6832,x6833,x6834),f32(x6831,x6835,x6833,x6834),f36(x6833,a1))
% 3.99/4.06 [680]~P25(f16(x6802,f16(x6801,x6805)))+P25(f16(f32(x6801,x6802,x6803,x6804),x6805))
% 3.99/4.06 [706]P25(f16(x7061,f16(x7062,x7063)))+~P25(f16(f32(x7062,x7061,x7064,x7065),x7063))
% 3.99/4.06 [663]P10(f16(x6631,x6632),f4(x6633,x6631,x6634,f36(x6635,a1)),f36(x6635,a1))+~P25(f16(f16(f23(x6634),x6632),x6633))
% 3.99/4.06 [664]P10(f5(x6641,x6642,x6643,f36(x6644,a1)),f16(x6642,x6645),f36(x6644,a1))+~P25(f16(f16(f23(x6643),x6645),x6641))
% 3.99/4.06 [676]E(f24(f16(x6761,x6762),f25(x6761,x6763,x6764,x6765),x6765),f25(x6761,x6763,x6764,x6765))+~P25(f16(f16(f23(x6764),x6762),x6763))
% 3.99/4.06 [677]E(f17(f16(x6771,x6772),f4(x6773,x6771,x6774,f36(x6775,a1)),f36(x6775,a1)),f4(x6773,x6771,x6774,f36(x6775,a1)))+~P25(f16(f16(f23(x6774),x6772),x6773))
% 3.99/4.06 [678]E(f18(f16(x6781,x6782),f5(x6783,x6781,x6784,f36(x6785,a1)),f36(x6785,a1)),f5(x6783,x6781,x6784,f36(x6785,a1)))+~P25(f16(f16(f23(x6784),x6782),x6783))
% 3.99/4.06 [692]P25(f16(f16(f23(x6921),f16(x6922,x6923)),f25(x6922,x6924,x6925,x6921)))+~P25(f16(f16(f23(x6925),x6923),x6924))
% 3.99/4.06 [699]P25(f16(f16(f23(x6991),x6992),f32(x6993,x6994,x6991,x6995)))+~P25(f16(f16(f23(x6995),f16(x6993,x6992)),x6994))
% 3.99/4.06 [708]~P25(f16(f16(f23(x7085),x7083),f32(x7082,x7084,x7085,x7081)))+P25(f16(f16(f23(x7081),f16(x7082,x7083)),x7084))
% 3.99/4.06 [716]E(f16(x7161,x7162),x7163)+~P25(f16(f16(f23(x7164),x7162),f32(x7161,f24(x7163,f22(f36(x7165,a1)),x7165),x7164,x7165)))
% 3.99/4.06 [719]~E(f14(x7191,x7192,x7195,x7196,x7197),f14(f3(x7196),x7194,x7196,x7196,x7197))+E(f16(x7191,f16(x7192,x7193)),f16(x7194,x7193))
% 3.99/4.06 [720]~E(f14(x7201,x7202,x7206,x7207,x7208),f14(x7204,x7205,x7209,x7207,x7208))+E(f16(x7201,f16(x7202,x7203)),f16(x7204,f16(x7205,x7203)))
% 3.99/4.06 [722]~E(f16(x7221,f16(x7222,x7226)),f16(x7227,f16(x7228,x72211)))+E(f16(f14(x7221,x7222,x7223,x7224,x7225),x7226),f16(f14(x7227,x7228,x7229,x7224,x72210),x72211))
% 3.99/4.06 [345]P10(x3452,x3451,x3453)+~P14(x3453)+P7(x3451,x3452,x3453)
% 3.99/4.06 [347]P10(x3472,x3471,x3473)+~P14(x3473)+P10(x3471,x3472,x3473)
% 3.99/4.06 [360]~P13(x3603)+~P7(x3601,x3602,x3603)+P10(x3601,x3602,x3603)
% 3.99/4.06 [361]~P24(x3613)+~P7(x3611,x3612,x3613)+P10(x3611,x3612,x3613)
% 3.99/4.06 [391]~P7(x3913,x3912,x3911)+~P13(x3911)+~P7(x3912,x3913,x3911)
% 3.99/4.06 [392]~P7(x3923,x3922,x3921)+~P14(x3921)+~P7(x3922,x3923,x3921)
% 3.99/4.06 [394]~P10(x3943,x3942,x3941)+~P14(x3941)+~P7(x3942,x3943,x3941)
% 3.99/4.06 [397]~P7(x3973,x3972,x3971)+~P24(x3971)+~P7(x3972,x3973,x3971)
% 3.99/4.06 [398]~P10(x3983,x3982,x3981)+~P24(x3981)+~P7(x3982,x3983,x3981)
% 3.99/4.06 [310]~P2(x3103)+E(x3101,x3102)+~E(f20(x3101,x3103),f20(x3102,x3103))
% 3.99/4.06 [311]~P20(x3113)+E(x3111,x3112)+~E(f20(x3111,x3113),f20(x3112,x3113))
% 3.99/4.06 [312]~P14(x3123)+E(x3121,x3122)+~E(f26(x3121,x3123),f26(x3122,x3123))
% 3.99/4.06 [313]~P14(x3133)+E(x3131,x3132)+~E(f27(x3131,x3133),f27(x3132,x3133))
% 3.99/4.06 [314]~P14(x3143)+E(x3141,x3142)+~E(f28(x3141,x3143),f28(x3142,x3143))
% 3.99/4.06 [315]~P14(x3153)+E(x3151,x3152)+~E(f31(x3151,x3153),f31(x3152,x3153))
% 3.99/4.06 [337]~P1(x3372)+~E(f17(x3373,x3371,x3372),f22(x3372))+E(x3371,f22(x3372))
% 3.99/4.06 [338]~P1(x3382)+~E(f17(x3381,x3383,x3382),f22(x3382))+E(x3381,f22(x3382))
% 3.99/4.06 [362]~P18(x3623)+~P10(x3621,x3622,x3623)+E(f17(x3621,x3622,x3623),x3622)
% 3.99/4.06 [363]~P18(x3633)+~P10(x3632,x3631,x3633)+E(f17(x3631,x3632,x3633),x3631)
% 3.99/4.06 [364]~P17(x3643)+~P10(x3642,x3641,x3643)+E(f18(x3641,x3642,x3643),x3642)
% 3.99/4.06 [365]~P17(x3653)+~P10(x3651,x3652,x3653)+E(f18(x3651,x3652,x3653),x3651)
% 3.99/4.06 [366]~P18(x3663)+P10(x3661,x3662,x3663)+~E(f17(x3661,x3662,x3663),x3662)
% 3.99/4.06 [367]~P17(x3673)+P10(x3671,x3672,x3673)+~E(f18(x3671,x3672,x3673),x3671)
% 3.99/4.06 [410]~P22(x4102)+~P7(x4103,x4101,x4102)+P7(f20(x4101,x4102),f20(x4103,x4102),x4102)
% 3.99/4.06 [411]~P22(x4112)+~P10(x4113,x4111,x4112)+P10(f20(x4111,x4112),f20(x4113,x4112),x4112)
% 3.99/4.06 [420]E(x4201,x4202)+~P10(x4201,x4202,f36(x4203,a1))+P7(x4201,x4202,f36(x4203,a1))
% 3.99/4.06 [426]~P22(x4263)+~P7(x4262,f20(x4261,x4263),x4263)+P7(x4261,f20(x4262,x4263),x4263)
% 3.99/4.06 [428]~P22(x4283)+~P10(x4282,f20(x4281,x4283),x4283)+P10(x4281,f20(x4282,x4283),x4283)
% 3.99/4.06 [429]~P4(x4293)+~P10(x4291,f16(x4292,x4291),x4293)+P10(x4291,f21(x4292,x4293),x4293)
% 3.99/4.06 [431]~P22(x4312)+~P7(f20(x4313,x4312),x4311,x4312)+P7(f20(x4311,x4312),x4313,x4312)
% 3.99/4.06 [433]~P22(x4332)+~P10(f20(x4333,x4332),x4331,x4332)+P10(f20(x4331,x4332),x4333,x4332)
% 3.99/4.06 [442]~P14(x4422)+~P10(x4421,x4423,x4422)+P10(f26(x4421,x4422),f26(x4423,x4422),f36(x4422,a1))
% 3.99/4.06 [443]~P13(x4432)+~P10(x4433,x4431,x4432)+P10(f27(x4431,x4432),f27(x4433,x4432),f36(x4432,a1))
% 3.99/4.06 [444]~P13(x4442)+~P10(x4441,x4443,x4442)+P10(f28(x4441,x4442),f28(x4443,x4442),f36(x4442,a1))
% 3.99/4.06 [445]~P14(x4452)+~P10(x4453,x4451,x4452)+P10(f31(x4451,x4452),f31(x4453,x4452),f36(x4452,a1))
% 3.99/4.06 [448]~P22(x4483)+P7(x4481,x4482,x4483)+~P7(f20(x4482,x4483),f20(x4481,x4483),x4483)
% 3.99/4.06 [449]~P22(x4493)+P10(x4491,x4492,x4493)+~P10(f20(x4492,x4493),f20(x4491,x4493),x4493)
% 3.99/4.06 [474]E(x4741,x4742)+~P10(x4741,x4742,f36(x4743,a1))+~P10(x4742,x4741,f36(x4743,a1))
% 3.99/4.06 [492]~P13(x4923)+P10(x4921,x4922,x4923)+~P10(f27(x4922,x4923),f27(x4921,x4923),f36(x4923,a1))
% 3.99/4.06 [493]~P13(x4933)+P10(x4931,x4932,x4933)+~P10(f28(x4931,x4933),f28(x4932,x4933),f36(x4933,a1))
% 3.99/4.06 [494]~P14(x4943)+P10(x4941,x4942,x4943)+~P10(f26(x4941,x4943),f26(x4942,x4943),f36(x4943,a1))
% 3.99/4.06 [495]~P14(x4953)+P10(x4951,x4952,x4953)+~P10(f31(x4952,x4953),f31(x4951,x4953),f36(x4953,a1))
% 3.99/4.06 [356]P10(x3561,x3562,x3563)+~P13(x3563)+E(f29(x3561,x3562,x3563),f22(f36(x3563,a1)))
% 3.99/4.06 [357]P7(x3571,x3572,x3573)+~P13(x3573)+E(f30(x3571,x3572,x3573),f22(f36(x3573,a1)))
% 3.99/4.06 [358]P10(x3582,x3583,x3581)+~P13(x3581)+E(f22(f36(x3581,a1)),f29(x3582,x3583,x3581))
% 3.99/4.06 [359]P7(x3592,x3593,x3591)+~P13(x3591)+E(f22(f36(x3591,a1)),f30(x3592,x3593,x3591))
% 3.99/4.06 [389]~P13(x3893)+~P7(x3892,x3891,x3893)+E(f29(x3891,x3892,x3893),f22(f36(x3893,a1)))
% 3.99/4.06 [390]~P13(x3903)+~P10(x3902,x3901,x3903)+E(f30(x3901,x3902,x3903),f22(f36(x3903,a1)))
% 3.99/4.06 [434]~P13(x4343)+~P10(x4341,x4342,x4343)+~E(f29(x4341,x4342,x4343),f22(f36(x4343,a1)))
% 3.99/4.06 [435]~P13(x4353)+~P7(x4351,x4352,x4353)+~E(f30(x4351,x4352,x4353),f22(f36(x4353,a1)))
% 3.99/4.06 [436]~P13(x4361)+~P10(x4362,x4363,x4361)+~E(f22(f36(x4361,a1)),f29(x4362,x4363,x4361))
% 3.99/4.06 [437]~P13(x4371)+~P7(x4372,x4373,x4371)+~E(f22(f36(x4371,a1)),f30(x4372,x4373,x4371))
% 3.99/4.06 [475]~P11(x4751)+~P7(x4752,x4753,x4751)+P25(f16(f16(f23(x4751),x4752),f26(x4753,x4751)))
% 3.99/4.06 [476]~P11(x4761)+~P10(x4763,x4762,x4761)+P25(f16(f16(f23(x4761),x4762),f27(x4763,x4761)))
% 3.99/4.06 [477]~P11(x4771)+~P10(x4772,x4773,x4771)+P25(f16(f16(f23(x4771),x4772),f28(x4773,x4771)))
% 3.99/4.06 [478]~P11(x4781)+~P7(x4783,x4782,x4781)+P25(f16(f16(f23(x4781),x4782),f31(x4783,x4781)))
% 3.99/4.06 [506]~P11(x5063)+P7(x5061,x5062,x5063)+~P25(f16(f16(f23(x5063),x5062),f31(x5061,x5063)))
% 3.99/4.06 [507]~P11(x5073)+P7(x5071,x5072,x5073)+~P25(f16(f16(f23(x5073),x5071),f26(x5072,x5073)))
% 3.99/4.06 [508]~P11(x5083)+P10(x5081,x5082,x5083)+~P25(f16(f16(f23(x5083),x5082),f27(x5081,x5083)))
% 3.99/4.06 [509]~P11(x5093)+P10(x5091,x5092,x5093)+~P25(f16(f16(f23(x5093),x5091),f28(x5092,x5093)))
% 3.99/4.06 [519]~P14(x5192)+~P10(x5191,x5193,x5192)+E(f17(f26(x5191,x5192),f29(x5191,x5193,x5192),f36(x5192,a1)),f28(x5193,x5192))
% 3.99/4.06 [520]~P14(x5202)+~P10(x5201,x5203,x5202)+E(f17(f26(x5201,x5202),f30(x5201,x5203,x5202),f36(x5202,a1)),f26(x5203,x5202))
% 3.99/4.06 [521]~P14(x5213)+~P10(x5211,x5212,x5213)+E(f17(f29(x5211,x5212,x5213),f31(x5212,x5213),f36(x5213,a1)),f27(x5211,x5213))
% 3.99/4.06 [522]~P14(x5223)+~P10(x5221,x5222,x5223)+E(f17(f30(x5221,x5222,x5223),f27(x5222,x5223),f36(x5223,a1)),f27(x5221,x5223))
% 3.99/4.06 [617]~P14(x6173)+~P10(x6171,x6172,x6173)+E(f17(f30(x6171,x6172,x6173),f24(x6172,f22(f36(x6173,a1)),x6173),f36(x6173,a1)),f29(x6171,x6172,x6173))
% 3.99/4.06 [488]~P4(x4883)+P10(x4881,f12(x4882,x4883),x4883)+~P25(f16(f16(f23(x4883),x4881),x4882))
% 3.99/4.06 [489]~P4(x4892)+P10(f13(x4891,x4892),x4893,x4892)+~P25(f16(f16(f23(x4892),x4893),x4891))
% 3.99/4.06 [632]~P10(x6321,f24(x6323,f22(f36(x6322,a1)),x6322),f36(x6322,a1))+E(x6321,f22(f36(x6322,a1)))+E(x6321,f24(x6323,f22(f36(x6322,a1)),x6322))
% 3.99/4.06 [545]P9(x5451,x5452,a2)+P6(f40(x5451,x5452),x5453,a2)+~P25(f16(f16(f23(f34(a2)),x5453),x5451))
% 3.99/4.06 [566]P6(x5661,x5662,a2)+~P6(f33(x5661),f42(x5661,x5663),a2)+~P25(f16(f16(f23(f34(a2)),x5662),x5663))
% 3.99/4.06 [607]P6(x6071,x6072,a2)+P25(f16(f16(f23(f34(a2)),f42(x6071,x6073)),x6073))+~P25(f16(f16(f23(f34(a2)),x6072),x6073))
% 3.99/4.06 [447]~P8(x4471,x4474,x4473)+P8(x4471,x4472,x4473)+~P8(x4474,x4472,x4473)
% 3.99/4.06 [399]~P21(x3994)+E(x3991,x3992)+~E(f19(x3993,x3993,x3994),f19(x3991,x3992,x3994))
% 3.99/4.06 [400]~P21(x4003)+E(x4001,x4002)+~E(f19(x4001,x4002,x4003),f19(x4004,x4004,x4003))
% 3.99/4.06 [413]~P10(x4133,x4131,f36(x4134,a1))+P25(f16(x4131,x4132))+~P25(f16(x4133,x4132))
% 3.99/4.06 [424]~P11(x4244)+P10(x4241,x4242,f36(x4243,x4244))+~P7(x4241,x4242,f36(x4243,x4244))
% 3.99/4.06 [480]~P18(x4804)+~P7(x4801,x4803,x4804)+P7(x4801,f17(x4802,x4803,x4804),x4804)
% 3.99/4.06 [481]~P18(x4814)+~P7(x4811,x4812,x4814)+P7(x4811,f17(x4812,x4813,x4814),x4814)
% 3.99/4.06 [482]~P18(x4824)+~P10(x4821,x4823,x4824)+P10(x4821,f17(x4822,x4823,x4824),x4824)
% 3.99/4.06 [483]~P18(x4834)+~P10(x4831,x4832,x4834)+P10(x4831,f17(x4832,x4833,x4834),x4834)
% 3.99/4.06 [484]~P17(x4843)+~P7(x4842,x4844,x4843)+P7(f18(x4841,x4842,x4843),x4844,x4843)
% 3.99/4.06 [485]~P17(x4853)+~P7(x4851,x4854,x4853)+P7(f18(x4851,x4852,x4853),x4854,x4853)
% 3.99/4.06 [486]~P17(x4863)+~P10(x4862,x4864,x4863)+P10(f18(x4861,x4862,x4863),x4864,x4863)
% 3.99/4.06 [487]~P17(x4873)+~P10(x4871,x4874,x4873)+P10(f18(x4871,x4872,x4873),x4874,x4873)
% 3.99/4.06 [490]~P11(x4901)+~P7(x4902,x4903,f36(x4904,x4901))+~P10(x4903,x4902,f36(x4904,x4901))
% 3.99/4.06 [512]~P17(x5123)+P10(x5121,x5122,x5123)+~P10(x5121,f18(x5124,x5122,x5123),x5123)
% 3.99/4.06 [514]~P17(x5143)+P10(x5141,x5142,x5143)+~P10(x5141,f18(x5142,x5144,x5143),x5143)
% 3.99/4.06 [516]~P18(x5163)+P10(x5161,x5162,x5163)+~P10(f17(x5164,x5161,x5163),x5162,x5163)
% 3.99/4.06 [518]~P18(x5183)+P10(x5181,x5182,x5183)+~P10(f17(x5181,x5184,x5183),x5182,x5183)
% 3.99/4.06 [528]~P7(x5281,x5284,f36(x5283,a1))+~P7(x5284,x5282,f36(x5283,a1))+P7(x5281,x5282,f36(x5283,a1))
% 3.99/4.06 [529]~P10(x5291,x5294,f36(x5293,a1))+~P7(x5294,x5292,f36(x5293,a1))+P7(x5291,x5292,f36(x5293,a1))
% 3.99/4.06 [530]~P10(x5304,x5302,f36(x5303,a1))+~P7(x5301,x5304,f36(x5303,a1))+P7(x5301,x5302,f36(x5303,a1))
% 3.99/4.06 [531]~P10(x5311,x5314,f36(x5313,a1))+~P10(x5314,x5312,f36(x5313,a1))+P10(x5311,x5312,f36(x5313,a1))
% 3.99/4.06 [499]P8(x4991,x4992,x4993)+~P8(x4994,x4992,x4993)+~P10(x4994,x4991,f36(f34(x4993),a1))
% 3.99/4.06 [500]P8(x5001,x5002,x5003)+~P8(x5001,x5004,x5003)+~P10(x5002,x5004,f36(f34(x5003),a1))
% 3.99/4.06 [576]E(x5761,x5762)+P25(f16(x5763,x5761))+~P25(f16(f24(x5762,x5763,x5764),x5761))
% 3.99/4.06 [585]~P14(x5853)+~P10(x5851,x5854,x5853)+E(f19(f30(x5851,x5852,x5853),f30(x5851,x5854,x5853),f36(x5853,a1)),f30(x5854,x5852,x5853))
% 3.99/4.06 [601]~P10(x6011,x6012,f36(x6014,a1))+~P10(x6011,x6013,f36(x6014,a1))+P10(x6011,f18(x6012,x6013,f36(x6014,a1)),f36(x6014,a1))
% 3.99/4.06 [603]~P10(x6031,x6034,f36(x6033,a1))+~P10(x6032,x6034,f36(x6033,a1))+P10(f17(x6031,x6032,f36(x6033,a1)),x6034,f36(x6033,a1))
% 3.99/4.06 [604]~P10(x6041,x6042,f36(x6044,a1))+~P10(x6043,x6041,f36(x6044,a1))+E(f19(x6041,f19(x6042,x6043,f36(x6044,a1)),f36(x6044,a1)),x6043)
% 3.99/4.06 [717]~P11(x7174)+P10(x7171,x7172,f36(x7173,x7174))+~P10(f16(x7171,f8(x7171,x7172,x7173,x7174)),f16(x7172,f8(x7171,x7172,x7173,x7174)),x7174)
% 3.99/4.06 [718]~P11(x7184)+P10(x7181,x7182,f36(x7183,x7184))+~P10(f16(x7181,f9(x7181,x7182,x7183,x7184)),f16(x7182,f9(x7181,x7182,x7183,x7184)),x7184)
% 3.99/4.06 [568]~P7(x5684,x5683,f36(x5681,a1))+~P25(f16(f16(f23(x5681),x5682),x5684))+P25(f16(f16(f23(x5681),x5682),x5683))
% 3.99/4.06 [572]~P10(x5724,x5723,f36(x5721,a1))+~P25(f16(f16(f23(x5721),x5722),x5724))+P25(f16(f16(f23(x5721),x5722),x5723))
% 3.99/4.06 [580]~P25(f16(x5802,x5804))+~P25(f16(x5801,x5804))+P25(f16(f18(x5801,x5802,f36(x5803,a1)),x5804))
% 3.99/4.06 [597]~P10(x5971,f24(x5974,x5972,x5973),f36(x5973,a1))+P10(x5971,x5972,f36(x5973,a1))+P25(f16(f16(f23(x5973),x5974),x5971))
% 3.99/4.06 [598]~P7(x5981,x5983,f36(x5984,a1))+P7(x5981,f24(x5982,x5983,x5984),f36(x5984,a1))+~P25(f16(f16(f23(x5984),x5982),x5983))
% 3.99/4.06 [599]~P10(x5992,x5994,f36(x5993,a1))+P10(f24(x5991,x5992,x5993),x5994,f36(x5993,a1))+~P25(f16(f16(f23(x5993),x5991),x5994))
% 3.99/4.06 [609]~E(f18(x6091,x6092,f36(x6093,a1)),f22(f36(x6093,a1)))+~P25(f16(f16(f23(x6093),x6094),x6091))+~P25(f16(f16(f23(x6093),x6094),x6092))
% 3.99/4.06 [615]~P7(x6151,f24(x6154,x6152,x6153),f36(x6153,a1))+P7(x6151,x6152,f36(x6153,a1))+~P25(f16(f16(f23(x6153),x6154),x6152))
% 3.99/4.06 [628]~P10(x6284,f16(x6283,x6284),f36(x6281,a1))+~P25(f16(f16(f23(x6281),x6282),x6284))+P25(f16(f16(f23(x6281),x6282),f21(x6283,f36(x6281,a1))))
% 3.99/4.06 [631]P25(f16(x6311,x6312))+P25(f16(x6313,x6312))+~P25(f16(f17(x6311,x6313,f36(x6314,a1)),x6312))
% 3.99/4.06 [643]E(x6431,x6432)+~P25(f16(f16(f23(x6433),x6431),f24(x6432,x6434,x6433)))+P25(f16(f16(f23(x6433),x6431),x6434))
% 3.99/4.06 [653]~P25(f16(f16(f23(x6531),x6532),x6534))+P25(f16(f16(f23(x6531),x6532),x6533))+P25(f16(f16(f23(x6531),x6532),f19(x6534,x6533,f36(x6531,a1))))
% 3.99/4.06 [655]~P25(f16(f16(f23(x6551),x6552),x6554))+~P25(f16(f16(f23(x6551),x6552),x6553))+P25(f16(f16(f23(x6551),x6552),f18(x6553,x6554,f36(x6551,a1))))
% 3.99/4.06 [671]P25(f16(f16(f23(x6711),x6712),x6713))+P25(f16(f16(f23(x6711),x6712),x6714))+~P25(f16(f16(f23(x6711),x6712),f17(x6713,x6714,f36(x6711,a1))))
% 3.99/4.06 [679]~P10(x6791,f24(x6792,x6794,x6793),f36(x6793,a1))+P10(f19(x6791,f24(x6792,f22(f36(x6793,a1)),x6793),f36(x6793,a1)),x6794,f36(x6793,a1))+~P25(f16(f16(f23(x6793),x6792),x6791))
% 3.99/4.06 [694]P10(x6941,f24(x6942,x6943,x6944),f36(x6944,a1))+~P10(f19(x6941,f24(x6942,f22(f36(x6944,a1)),x6944),f36(x6944,a1)),x6943,f36(x6944,a1))+~P25(f16(f16(f23(x6944),x6942),x6941))
% 3.99/4.06 [466]~P11(x4664)+P10(f16(x4661,x4662),f16(x4663,x4662),x4664)+~P10(x4661,x4663,f36(x4665,x4664))
% 3.99/4.06 [556]~P13(x5563)+P10(x5561,x5562,x5563)+P10(f29(x5561,x5562,x5563),f29(x5564,x5565,x5563),f36(x5563,a1))
% 3.99/4.06 [611]~P13(x6113)+P10(x6111,x6112,x6113)+~P7(f29(x6114,x6115,x6113),f29(x6111,x6112,x6113),f36(x6113,a1))
% 3.99/4.06 [644]~P10(x6441,x6444,f36(x6443,a1))+~P10(x6445,x6442,f36(x6443,a1))+P10(f19(x6441,x6442,f36(x6443,a1)),f19(x6444,x6445,f36(x6443,a1)),f36(x6443,a1))
% 3.99/4.06 [645]~P10(x6451,x6454,f36(x6453,a1))+~P10(x6452,x6455,f36(x6453,a1))+P10(f17(x6451,x6452,f36(x6453,a1)),f17(x6454,x6455,f36(x6453,a1)),f36(x6453,a1))
% 3.99/4.06 [646]~P10(x6461,x6464,f36(x6463,a1))+~P10(x6462,x6465,f36(x6463,a1))+P10(f18(x6461,x6462,f36(x6463,a1)),f18(x6464,x6465,f36(x6463,a1)),f36(x6463,a1))
% 3.99/4.06 [651]E(f16(x6511,x6512),f22(f36(x6513,a1)))+~E(f4(x6514,x6511,x6515,f36(x6513,a1)),f22(f36(x6513,a1)))+~P25(f16(f16(f23(x6515),x6512),x6514))
% 3.99/4.06 [656]~P4(x6565)+P10(f16(x6561,x6562),f4(x6563,x6561,x6564,x6565),x6565)+~P25(f16(f16(f23(x6564),x6562),x6563))
% 3.99/4.06 [657]~P4(x6574)+P10(f5(x6571,x6572,x6573,x6574),f16(x6572,x6575),x6574)+~P25(f16(f16(f23(x6573),x6575),x6571))
% 3.99/4.06 [667]E(x6671,x6672)+E(x6671,x6673)+~E(f24(x6674,f24(x6671,f22(f36(x6675,a1)),x6675),x6675),f24(x6673,f24(x6672,f22(f36(x6675,a1)),x6675),x6675))
% 3.99/4.06 [668]E(x6681,x6682)+E(x6683,x6682)+~E(f24(x6683,f24(x6681,f22(f36(x6684,a1)),x6684),x6684),f24(x6685,f24(x6682,f22(f36(x6684,a1)),x6684),x6684))
% 3.99/4.06 [669]E(x6691,x6692)+E(x6693,x6692)+~E(f24(x6693,f24(x6691,f22(f36(x6694,a1)),x6694),x6694),f24(x6692,f24(x6695,f22(f36(x6694,a1)),x6694),x6694))
% 3.99/4.06 [670]E(x6701,x6702)+E(x6701,x6703)+~E(f24(x6701,f24(x6704,f22(f36(x6705,a1)),x6705),x6705),f24(x6703,f24(x6702,f22(f36(x6705,a1)),x6705),x6705))
% 3.99/4.06 [685]P10(x6851,f16(x6852,x6853),f36(x6854,a1))+~P10(x6851,f5(x6856,x6852,x6855,f36(x6854,a1)),f36(x6854,a1))+~P25(f16(f16(f23(x6855),x6853),x6856))
% 3.99/4.06 [686]P10(f16(x6861,x6862),x6863,f36(x6864,a1))+~P10(f4(x6866,x6861,x6865,f36(x6864,a1)),x6863,f36(x6864,a1))+~P25(f16(f16(f23(x6865),x6862),x6866))
% 3.99/4.06 [687]~P10(f25(x6872,x6876,x6875,x6871),x6874,f36(x6871,a1))+P25(f16(f16(f23(x6871),f16(x6872,x6873)),x6874))+~P25(f16(f16(f23(x6875),x6873),x6876))
% 3.99/4.06 [696]~P25(f16(f16(x6962,x6966),x6965))+~P25(f16(f16(f23(x6963),x6966),x6961))+P25(f16(f4(x6961,x6962,x6963,f36(x6964,a1)),x6965))
% 3.99/4.06 [705]~P25(f16(f16(f23(x7051),x7052),f16(x7054,x7056)))+~P25(f16(f16(f23(x7055),x7056),x7053))+P25(f16(f16(f23(x7051),x7052),f4(x7053,x7054,x7055,f36(x7051,a1))))
% 3.99/4.06 [711]P25(f16(f16(x7111,x7112),x7113))+~P25(f16(f16(f23(x7114),x7112),x7115))+~P25(f16(f5(x7115,x7111,x7114,f36(x7116,a1)),x7113))
% 3.99/4.06 [714]P25(f16(f16(f23(x7141),x7142),f16(x7143,x7144)))+~P25(f16(f16(f23(x7145),x7144),x7146))+~P25(f16(f16(f23(x7141),x7142),f5(x7146,x7143,x7145,f36(x7141,a1))))
% 3.99/4.06 [715]~P10(f25(x7152,x7156,x7155,x7151),f16(x7154,f25(x7152,x7156,x7155,x7151)),f36(x7151,a1))+~P25(f16(f16(f23(x7155),x7153),x7156))+P25(f16(f16(f23(x7151),f16(x7152,x7153)),f21(x7154,f36(x7151,a1))))
% 3.99/4.06 [352]P7(x3521,x3522,x3523)+~P14(x3523)+E(x3521,x3522)+P7(x3522,x3521,x3523)
% 3.99/4.06 [353]P7(x3531,x3532,x3533)+~P26(x3533)+E(x3531,x3532)+P7(x3532,x3531,x3533)
% 3.99/4.06 [373]~P13(x3733)+~P10(x3731,x3732,x3733)+E(x3731,x3732)+P7(x3731,x3732,x3733)
% 3.99/4.06 [375]~P14(x3753)+~P10(x3751,x3752,x3753)+E(x3751,x3752)+P7(x3751,x3752,x3753)
% 3.99/4.06 [403]~P10(x4032,x4031,x4033)+~P10(x4031,x4032,x4033)+E(x4031,x4032)+~P13(x4033)
% 3.99/4.06 [421]P10(x4212,x4211,x4213)+~P24(x4213)+~P10(x4211,x4212,x4213)+P7(x4211,x4212,x4213)
% 3.99/4.06 [457]~P13(x4573)+~P7(x4571,x4574,x4573)+P7(x4571,x4572,x4573)+~P7(x4574,x4572,x4573)
% 3.99/4.06 [458]~P13(x4583)+~P10(x4581,x4584,x4583)+P7(x4581,x4582,x4583)+~P7(x4584,x4582,x4583)
% 3.99/4.06 [459]~P13(x4593)+~P10(x4594,x4592,x4593)+P7(x4591,x4592,x4593)+~P7(x4591,x4594,x4593)
% 3.99/4.06 [460]~P24(x4603)+~P7(x4601,x4604,x4603)+P7(x4601,x4602,x4603)+~P7(x4604,x4602,x4603)
% 3.99/4.06 [461]~P24(x4613)+~P10(x4611,x4614,x4613)+P7(x4611,x4612,x4613)+~P7(x4614,x4612,x4613)
% 3.99/4.06 [462]~P24(x4623)+~P10(x4624,x4622,x4623)+P7(x4621,x4622,x4623)+~P7(x4621,x4624,x4623)
% 3.99/4.06 [463]~P13(x4633)+~P10(x4631,x4634,x4633)+P10(x4631,x4632,x4633)+~P10(x4634,x4632,x4633)
% 3.99/4.06 [464]~P24(x4643)+~P10(x4641,x4644,x4643)+P10(x4641,x4642,x4643)+~P10(x4644,x4642,x4643)
% 3.99/4.06 [504]~P11(x5044)+P7(x5041,x5042,f36(x5043,x5044))+P10(x5042,x5041,f36(x5043,x5044))+~P10(x5041,x5042,f36(x5043,x5044))
% 3.99/4.06 [549]~P17(x5494)+~P10(x5491,x5493,x5494)+~P10(x5491,x5492,x5494)+P10(x5491,f18(x5492,x5493,x5494),x5494)
% 3.99/4.06 [552]~P18(x5523)+~P10(x5522,x5524,x5523)+~P10(x5521,x5524,x5523)+P10(f17(x5521,x5522,x5523),x5524,x5523)
% 3.99/4.06 [613]~P14(x6133)+~P10(x6132,x6134,x6133)+~P10(x6131,x6132,x6133)+E(f17(f30(x6131,x6132,x6133),f29(x6132,x6134,x6133),f36(x6133,a1)),f29(x6131,x6134,x6133))
% 3.99/4.06 [614]~P14(x6143)+~P10(x6142,x6144,x6143)+~P10(x6141,x6142,x6143)+E(f17(f30(x6141,x6142,x6143),f30(x6142,x6144,x6143),f36(x6143,a1)),f30(x6141,x6144,x6143))
% 3.99/4.06 [701]~P10(x7011,x7013,f36(x7014,a1))+~P7(x7011,x7013,f36(x7014,a1))+P7(x7011,f24(x7012,x7013,x7014),f36(x7014,a1))+~P7(f19(x7011,f24(x7012,f22(f36(x7014,a1)),x7014),f36(x7014,a1)),x7013,f36(x7014,a1))
% 3.99/4.06 [565]E(x5651,x5652)+~E(f24(x5654,x5651,x5653),f24(x5654,x5652,x5653))+P25(f16(f16(f23(x5653),x5654),x5652))+P25(f16(f16(f23(x5653),x5654),x5651))
% 3.99/4.06 [612]~P10(x6124,x6123,f36(x6121,a1))+P7(x6124,f24(x6122,x6123,x6121),f36(x6121,a1))+P25(f16(f16(f23(x6121),x6122),x6123))+P25(f16(f16(f23(x6121),x6122),x6124))
% 3.99/4.06 [616]~P10(x6163,x6164,f36(x6161,a1))+~P7(x6163,x6164,f36(x6161,a1))+P7(x6163,f24(x6162,x6164,x6161),f36(x6161,a1))+P25(f16(f16(f23(x6161),x6162),x6163))
% 3.99/4.06 [629]~P7(x6291,f24(x6294,x6292,x6293),f36(x6293,a1))+P10(x6291,x6292,f36(x6293,a1))+P25(f16(f16(f23(x6293),x6294),x6292))+P25(f16(f16(f23(x6293),x6294),x6291))
% 3.99/4.06 [684]~P7(x6844,f24(x6842,x6843,x6841),f36(x6841,a1))+P7(f19(x6844,f24(x6842,f22(f36(x6841,a1)),x6841),f36(x6841,a1)),x6843,f36(x6841,a1))+~P25(f16(f16(f23(x6841),x6842),x6844))+P25(f16(f16(f23(x6841),x6842),x6843))
% 3.99/4.06 [700]~P10(x7004,x7003,f36(x7001,a1))+P7(x7004,f24(x7002,x7003,x7001),f36(x7001,a1))+~P7(f19(x7004,f24(x7002,f22(f36(x7001,a1)),x7001),f36(x7001,a1)),x7003,f36(x7001,a1))+P25(f16(f16(f23(x7001),x7002),x7003))
% 3.99/4.06 [702]P7(x7024,f24(x7022,x7023,x7021),f36(x7021,a1))+~P7(f19(x7024,f24(x7022,f22(f36(x7021,a1)),x7021),f36(x7021,a1)),x7023,f36(x7021,a1))+~P25(f16(f16(f23(x7021),x7022),x7024))+P25(f16(f16(f23(x7021),x7022),x7023))
% 3.99/4.06 [703]~P7(x7031,x7033,f36(x7034,a1))+P7(x7031,f24(x7032,x7033,x7034),f36(x7034,a1))+~P7(f19(x7031,f24(x7032,f22(f36(x7034,a1)),x7034),f36(x7034,a1)),x7033,f36(x7034,a1))+~P25(f16(f16(f23(x7034),x7032),x7031))
% 3.99/4.06 [594]P6(x5941,x5942,a2)+~P9(x5943,x5944,a2)+~P6(x5941,f41(x5943,x5941),a2)+~P25(f16(f16(f23(f34(a2)),x5942),x5944))
% 3.99/4.06 [625]P6(x6251,x6252,a2)+~P9(x6253,x6254,a2)+P25(f16(f16(f23(f34(a2)),f41(x6253,x6251)),x6253))+~P25(f16(f16(f23(f34(a2)),x6252),x6254))
% 3.99/4.06 [523]~P22(x5233)+~P7(x5234,x5235,x5233)+P7(x5231,x5232,x5233)+~E(f19(x5234,x5235,x5233),f19(x5231,x5232,x5233))
% 3.99/4.06 [524]~P22(x5243)+~P7(x5244,x5245,x5243)+P7(x5241,x5242,x5243)+~E(f19(x5241,x5242,x5243),f19(x5244,x5245,x5243))
% 3.99/4.06 [525]~P22(x5253)+~P10(x5255,x5254,x5253)+P10(x5251,x5252,x5253)+~E(f19(x5254,x5255,x5253),f19(x5252,x5251,x5253))
% 3.99/4.06 [526]~P22(x5263)+~P10(x5265,x5264,x5263)+P10(x5261,x5262,x5263)+~E(f19(x5262,x5261,x5263),f19(x5264,x5265,x5263))
% 3.99/4.06 [590]~P13(x5903)+~P10(x5904,x5905,x5903)+P10(x5901,x5902,x5903)+P7(f29(x5901,x5902,x5903),f29(x5904,x5905,x5903),f36(x5903,a1))
% 3.99/4.06 [595]~P13(x5953)+~P10(x5954,x5951,x5953)+~P10(x5952,x5955,x5953)+P10(f29(x5951,x5952,x5953),f29(x5954,x5955,x5953),f36(x5953,a1))
% 3.99/4.06 [623]~P14(x6233)+P10(x6231,x6232,x6233)+P10(x6234,x6232,x6233)+~P10(f30(x6232,x6231,x6233),f30(x6234,x6235,x6233),f36(x6233,a1))
% 3.99/4.06 [624]~P14(x6243)+P10(x6241,x6242,x6243)+P10(x6241,x6244,x6243)+~P10(f30(x6242,x6241,x6243),f30(x6245,x6244,x6243),f36(x6243,a1))
% 3.99/4.06 [637]~P13(x6373)+P10(x6371,x6372,x6373)+~P10(x6374,x6371,x6373)+~P7(f29(x6374,x6371,x6373),f29(x6375,x6372,x6373),f36(x6373,a1))
% 3.99/4.06 [638]~P13(x6383)+P10(x6381,x6382,x6383)+~P10(x6384,x6381,x6383)+~P10(f29(x6384,x6381,x6383),f29(x6385,x6382,x6383),f36(x6383,a1))
% 3.99/4.06 [639]~P13(x6393)+P10(x6391,x6392,x6393)+~P10(x6392,x6394,x6393)+~P7(f29(x6392,x6394,x6393),f29(x6391,x6395,x6393),f36(x6393,a1))
% 3.99/4.06 [640]~P13(x6403)+P10(x6401,x6402,x6403)+~P10(x6402,x6404,x6403)+~P10(f29(x6402,x6404,x6403),f29(x6401,x6405,x6403),f36(x6403,a1))
% 3.99/4.06 [649]~P13(x6493)+~P10(x6492,x6494,x6493)+P7(x6491,x6492,x6493)+P7(x6494,x6495,x6493)+~P7(f29(x6492,x6494,x6493),f29(x6491,x6495,x6493),f36(x6493,a1))
% 3.99/4.06 [647]~P13(x6473)+~P7(x6474,x6471,x6473)+~P10(x6474,x6475,x6473)+~P10(x6474,x6471,x6473)+~P10(x6472,x6475,x6473)+P7(f29(x6471,x6472,x6473),f29(x6474,x6475,x6473),f36(x6473,a1))
% 3.99/4.06 [648]~P13(x6483)+~P7(x6482,x6485,x6483)+~P10(x6484,x6485,x6483)+~P10(x6484,x6481,x6483)+~P10(x6482,x6485,x6483)+P7(f29(x6481,x6482,x6483),f29(x6484,x6485,x6483),f36(x6483,a1))
% 3.99/4.06 %EqnAxiom
% 3.99/4.06 [1]E(x11,x11)
% 3.99/4.06 [2]E(x22,x21)+~E(x21,x22)
% 3.99/4.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.99/4.06 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.99/4.06 [5]~E(x51,x52)+E(f16(x51,x53),f16(x52,x53))
% 3.99/4.06 [6]~E(x61,x62)+E(f16(x63,x61),f16(x63,x62))
% 3.99/4.06 [7]~E(x71,x72)+E(f36(x71,x73),f36(x72,x73))
% 3.99/4.06 [8]~E(x81,x82)+E(f36(x83,x81),f36(x83,x82))
% 3.99/4.06 [9]~E(x91,x92)+E(f5(x91,x93,x94,x95),f5(x92,x93,x94,x95))
% 3.99/4.06 [10]~E(x101,x102)+E(f5(x103,x101,x104,x105),f5(x103,x102,x104,x105))
% 3.99/4.06 [11]~E(x111,x112)+E(f5(x113,x114,x111,x115),f5(x113,x114,x112,x115))
% 3.99/4.06 [12]~E(x121,x122)+E(f5(x123,x124,x125,x121),f5(x123,x124,x125,x122))
% 3.99/4.06 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 3.99/4.06 [14]~E(x141,x142)+E(f18(x141,x143,x144),f18(x142,x143,x144))
% 3.99/4.06 [15]~E(x151,x152)+E(f18(x153,x151,x154),f18(x153,x152,x154))
% 3.99/4.06 [16]~E(x161,x162)+E(f18(x163,x164,x161),f18(x163,x164,x162))
% 3.99/4.06 [17]~E(x171,x172)+E(f4(x171,x173,x174,x175),f4(x172,x173,x174,x175))
% 3.99/4.06 [18]~E(x181,x182)+E(f4(x183,x181,x184,x185),f4(x183,x182,x184,x185))
% 3.99/4.06 [19]~E(x191,x192)+E(f4(x193,x194,x191,x195),f4(x193,x194,x192,x195))
% 3.99/4.06 [20]~E(x201,x202)+E(f4(x203,x204,x205,x201),f4(x203,x204,x205,x202))
% 3.99/4.06 [21]~E(x211,x212)+E(f17(x211,x213,x214),f17(x212,x213,x214))
% 3.99/4.06 [22]~E(x221,x222)+E(f17(x223,x221,x224),f17(x223,x222,x224))
% 3.99/4.06 [23]~E(x231,x232)+E(f17(x233,x234,x231),f17(x233,x234,x232))
% 3.99/4.06 [24]~E(x241,x242)+E(f24(x241,x243,x244),f24(x242,x243,x244))
% 3.99/4.06 [25]~E(x251,x252)+E(f24(x253,x251,x254),f24(x253,x252,x254))
% 3.99/4.06 [26]~E(x261,x262)+E(f24(x263,x264,x261),f24(x263,x264,x262))
% 3.99/4.06 [27]~E(x271,x272)+E(f20(x271,x273),f20(x272,x273))
% 3.99/4.06 [28]~E(x281,x282)+E(f20(x283,x281),f20(x283,x282))
% 3.99/4.06 [29]~E(x291,x292)+E(f34(x291),f34(x292))
% 3.99/4.06 [30]~E(x301,x302)+E(f12(x301,x303),f12(x302,x303))
% 3.99/4.06 [31]~E(x311,x312)+E(f12(x313,x311),f12(x313,x312))
% 3.99/4.06 [32]~E(x321,x322)+E(f32(x321,x323,x324,x325),f32(x322,x323,x324,x325))
% 3.99/4.06 [33]~E(x331,x332)+E(f32(x333,x331,x334,x335),f32(x333,x332,x334,x335))
% 3.99/4.06 [34]~E(x341,x342)+E(f32(x343,x344,x341,x345),f32(x343,x344,x342,x345))
% 3.99/4.06 [35]~E(x351,x352)+E(f32(x353,x354,x355,x351),f32(x353,x354,x355,x352))
% 3.99/4.06 [36]~E(x361,x362)+E(f19(x361,x363,x364),f19(x362,x363,x364))
% 3.99/4.06 [37]~E(x371,x372)+E(f19(x373,x371,x374),f19(x373,x372,x374))
% 3.99/4.06 [38]~E(x381,x382)+E(f19(x383,x384,x381),f19(x383,x384,x382))
% 3.99/4.06 [39]~E(x391,x392)+E(f27(x391,x393),f27(x392,x393))
% 3.99/4.06 [40]~E(x401,x402)+E(f27(x403,x401),f27(x403,x402))
% 3.99/4.06 [41]~E(x411,x412)+E(f22(x411),f22(x412))
% 3.99/4.06 [42]~E(x421,x422)+E(f26(x421,x423),f26(x422,x423))
% 3.99/4.06 [43]~E(x431,x432)+E(f26(x433,x431),f26(x433,x432))
% 3.99/4.06 [44]~E(x441,x442)+E(f29(x441,x443,x444),f29(x442,x443,x444))
% 3.99/4.06 [45]~E(x451,x452)+E(f29(x453,x451,x454),f29(x453,x452,x454))
% 3.99/4.06 [46]~E(x461,x462)+E(f29(x463,x464,x461),f29(x463,x464,x462))
% 3.99/4.06 [47]~E(x471,x472)+E(f25(x471,x473,x474,x475),f25(x472,x473,x474,x475))
% 3.99/4.06 [48]~E(x481,x482)+E(f25(x483,x481,x484,x485),f25(x483,x482,x484,x485))
% 3.99/4.06 [49]~E(x491,x492)+E(f25(x493,x494,x491,x495),f25(x493,x494,x492,x495))
% 3.99/4.06 [50]~E(x501,x502)+E(f25(x503,x504,x505,x501),f25(x503,x504,x505,x502))
% 3.99/4.06 [51]~E(x511,x512)+E(f14(x511,x513,x514,x515,x516),f14(x512,x513,x514,x515,x516))
% 3.99/4.06 [52]~E(x521,x522)+E(f14(x523,x521,x524,x525,x526),f14(x523,x522,x524,x525,x526))
% 3.99/4.06 [53]~E(x531,x532)+E(f14(x533,x534,x531,x535,x536),f14(x533,x534,x532,x535,x536))
% 3.99/4.06 [54]~E(x541,x542)+E(f14(x543,x544,x545,x541,x546),f14(x543,x544,x545,x542,x546))
% 3.99/4.06 [55]~E(x551,x552)+E(f14(x553,x554,x555,x556,x551),f14(x553,x554,x555,x556,x552))
% 3.99/4.06 [56]~E(x561,x562)+E(f6(x561,x563,x564,x565,x566),f6(x562,x563,x564,x565,x566))
% 3.99/4.06 [57]~E(x571,x572)+E(f6(x573,x571,x574,x575,x576),f6(x573,x572,x574,x575,x576))
% 3.99/4.06 [58]~E(x581,x582)+E(f6(x583,x584,x581,x585,x586),f6(x583,x584,x582,x585,x586))
% 3.99/4.06 [59]~E(x591,x592)+E(f6(x593,x594,x595,x591,x596),f6(x593,x594,x595,x592,x596))
% 3.99/4.06 [60]~E(x601,x602)+E(f6(x603,x604,x605,x606,x601),f6(x603,x604,x605,x606,x602))
% 3.99/4.06 [61]~E(x611,x612)+E(f33(x611),f33(x612))
% 3.99/4.06 [62]~E(x621,x622)+E(f21(x621,x623),f21(x622,x623))
% 3.99/4.06 [63]~E(x631,x632)+E(f21(x633,x631),f21(x633,x632))
% 3.99/4.06 [64]~E(x641,x642)+E(f30(x641,x643,x644),f30(x642,x643,x644))
% 3.99/4.06 [65]~E(x651,x652)+E(f30(x653,x651,x654),f30(x653,x652,x654))
% 3.99/4.06 [66]~E(x661,x662)+E(f30(x663,x664,x661),f30(x663,x664,x662))
% 3.99/4.06 [67]~E(x671,x672)+E(f40(x671,x673),f40(x672,x673))
% 3.99/4.06 [68]~E(x681,x682)+E(f40(x683,x681),f40(x683,x682))
% 3.99/4.06 [69]~E(x691,x692)+E(f8(x691,x693,x694,x695),f8(x692,x693,x694,x695))
% 3.99/4.06 [70]~E(x701,x702)+E(f8(x703,x701,x704,x705),f8(x703,x702,x704,x705))
% 3.99/4.06 [71]~E(x711,x712)+E(f8(x713,x714,x711,x715),f8(x713,x714,x712,x715))
% 3.99/4.06 [72]~E(x721,x722)+E(f8(x723,x724,x725,x721),f8(x723,x724,x725,x722))
% 3.99/4.06 [73]~E(x731,x732)+E(f28(x731,x733),f28(x732,x733))
% 3.99/4.06 [74]~E(x741,x742)+E(f28(x743,x741),f28(x743,x742))
% 3.99/4.06 [75]~E(x751,x752)+E(f15(x751,x753,x754,x755,x756),f15(x752,x753,x754,x755,x756))
% 3.99/4.06 [76]~E(x761,x762)+E(f15(x763,x761,x764,x765,x766),f15(x763,x762,x764,x765,x766))
% 3.99/4.06 [77]~E(x771,x772)+E(f15(x773,x774,x771,x775,x776),f15(x773,x774,x772,x775,x776))
% 3.99/4.06 [78]~E(x781,x782)+E(f15(x783,x784,x785,x781,x786),f15(x783,x784,x785,x782,x786))
% 3.99/4.06 [79]~E(x791,x792)+E(f15(x793,x794,x795,x796,x791),f15(x793,x794,x795,x796,x792))
% 3.99/4.06 [80]~E(x801,x802)+E(f13(x801,x803),f13(x802,x803))
% 3.99/4.06 [81]~E(x811,x812)+E(f13(x813,x811),f13(x813,x812))
% 3.99/4.06 [82]~E(x821,x822)+E(f31(x821,x823),f31(x822,x823))
% 3.99/4.06 [83]~E(x831,x832)+E(f31(x833,x831),f31(x833,x832))
% 3.99/4.06 [84]~E(x841,x842)+E(f10(x841,x843,x844),f10(x842,x843,x844))
% 3.99/4.06 [85]~E(x851,x852)+E(f10(x853,x851,x854),f10(x853,x852,x854))
% 3.99/4.06 [86]~E(x861,x862)+E(f10(x863,x864,x861),f10(x863,x864,x862))
% 3.99/4.06 [87]~E(x871,x872)+E(f7(x871,x873,x874),f7(x872,x873,x874))
% 3.99/4.06 [88]~E(x881,x882)+E(f7(x883,x881,x884),f7(x883,x882,x884))
% 3.99/4.06 [89]~E(x891,x892)+E(f7(x893,x894,x891),f7(x893,x894,x892))
% 3.99/4.06 [90]~E(x901,x902)+E(f9(x901,x903,x904,x905),f9(x902,x903,x904,x905))
% 3.99/4.06 [91]~E(x911,x912)+E(f9(x913,x911,x914,x915),f9(x913,x912,x914,x915))
% 3.99/4.06 [92]~E(x921,x922)+E(f9(x923,x924,x921,x925),f9(x923,x924,x922,x925))
% 3.99/4.06 [93]~E(x931,x932)+E(f9(x933,x934,x935,x931),f9(x933,x934,x935,x932))
% 3.99/4.06 [94]~E(x941,x942)+E(f11(x941,x943,x944),f11(x942,x943,x944))
% 3.99/4.06 [95]~E(x951,x952)+E(f11(x953,x951,x954),f11(x953,x952,x954))
% 3.99/4.06 [96]~E(x961,x962)+E(f11(x963,x964,x961),f11(x963,x964,x962))
% 3.99/4.06 [97]~E(x971,x972)+E(f41(x971,x973),f41(x972,x973))
% 3.99/4.06 [98]~E(x981,x982)+E(f41(x983,x981),f41(x983,x982))
% 3.99/4.06 [99]~E(x991,x992)+E(f42(x991,x993),f42(x992,x993))
% 3.99/4.06 [100]~E(x1001,x1002)+E(f42(x1003,x1001),f42(x1003,x1002))
% 3.99/4.06 [101]~P1(x1011)+P1(x1012)+~E(x1011,x1012)
% 3.99/4.06 [102]~P13(x1021)+P13(x1022)+~E(x1021,x1022)
% 3.99/4.06 [103]~P11(x1031)+P11(x1032)+~E(x1031,x1032)
% 3.99/4.06 [104]~P14(x1041)+P14(x1042)+~E(x1041,x1042)
% 3.99/4.06 [105]~P15(x1051)+P15(x1052)+~E(x1051,x1052)
% 3.99/4.06 [106]P10(x1062,x1063,x1064)+~E(x1061,x1062)+~P10(x1061,x1063,x1064)
% 3.99/4.06 [107]P10(x1073,x1072,x1074)+~E(x1071,x1072)+~P10(x1073,x1071,x1074)
% 3.99/4.06 [108]P10(x1083,x1084,x1082)+~E(x1081,x1082)+~P10(x1083,x1084,x1081)
% 3.99/4.06 [109]~P17(x1091)+P17(x1092)+~E(x1091,x1092)
% 3.99/4.06 [110]~P18(x1101)+P18(x1102)+~E(x1101,x1102)
% 3.99/4.06 [111]P7(x1112,x1113,x1114)+~E(x1111,x1112)+~P7(x1111,x1113,x1114)
% 3.99/4.06 [112]P7(x1123,x1122,x1124)+~E(x1121,x1122)+~P7(x1123,x1121,x1124)
% 3.99/4.06 [113]P7(x1133,x1134,x1132)+~E(x1131,x1132)+~P7(x1133,x1134,x1131)
% 3.99/4.06 [114]~P25(x1141)+P25(x1142)+~E(x1141,x1142)
% 3.99/4.06 [115]~P2(x1151)+P2(x1152)+~E(x1151,x1152)
% 3.99/4.06 [116]~P3(x1161)+P3(x1162)+~E(x1161,x1162)
% 3.99/4.06 [117]P6(x1172,x1173,x1174)+~E(x1171,x1172)+~P6(x1171,x1173,x1174)
% 3.99/4.06 [118]P6(x1183,x1182,x1184)+~E(x1181,x1182)+~P6(x1183,x1181,x1184)
% 3.99/4.06 [119]P6(x1193,x1194,x1192)+~E(x1191,x1192)+~P6(x1193,x1194,x1191)
% 3.99/4.06 [120]~P23(x1201)+P23(x1202)+~E(x1201,x1202)
% 3.99/4.06 [121]~P22(x1211)+P22(x1212)+~E(x1211,x1212)
% 3.99/4.06 [122]~P4(x1221)+P4(x1222)+~E(x1221,x1222)
% 3.99/4.06 [123]~P24(x1231)+P24(x1232)+~E(x1231,x1232)
% 3.99/4.06 [124]~P16(x1241)+P16(x1242)+~E(x1241,x1242)
% 3.99/4.06 [125]~P21(x1251)+P21(x1252)+~E(x1251,x1252)
% 3.99/4.06 [126]P8(x1262,x1263,x1264)+~E(x1261,x1262)+~P8(x1261,x1263,x1264)
% 3.99/4.06 [127]P8(x1273,x1272,x1274)+~E(x1271,x1272)+~P8(x1273,x1271,x1274)
% 3.99/4.06 [128]P8(x1283,x1284,x1282)+~E(x1281,x1282)+~P8(x1283,x1284,x1281)
% 3.99/4.06 [129]~P19(x1291)+P19(x1292)+~E(x1291,x1292)
% 3.99/4.06 [130]~P26(x1301)+P26(x1302)+~E(x1301,x1302)
% 3.99/4.06 [131]~P12(x1311)+P12(x1312)+~E(x1311,x1312)
% 3.99/4.06 [132]P5(x1322,x1323,x1324)+~E(x1321,x1322)+~P5(x1321,x1323,x1324)
% 3.99/4.06 [133]P5(x1333,x1332,x1334)+~E(x1331,x1332)+~P5(x1333,x1331,x1334)
% 3.99/4.06 [134]P5(x1343,x1344,x1342)+~E(x1341,x1342)+~P5(x1343,x1344,x1341)
% 3.99/4.06 [135]P9(x1352,x1353,x1354)+~E(x1351,x1352)+~P9(x1351,x1353,x1354)
% 3.99/4.06 [136]P9(x1363,x1362,x1364)+~E(x1361,x1362)+~P9(x1363,x1361,x1364)
% 3.99/4.06 [137]P9(x1373,x1374,x1372)+~E(x1371,x1372)+~P9(x1373,x1374,x1371)
% 3.99/4.06 [138]~P20(x1381)+P20(x1382)+~E(x1381,x1382)
% 3.99/4.06
% 3.99/4.06 %-------------------------------------------
% 3.99/4.07 cnf(726,plain,
% 3.99/4.07 (~P7(x7261,x7261,a1)),
% 3.99/4.07 inference(scs_inference,[],[155,177,2,336])).
% 3.99/4.07 cnf(728,plain,
% 3.99/4.07 (~P7(x7281,x7281,a35)),
% 3.99/4.07 inference(scs_inference,[],[142,155,177,2,336,335])).
% 3.99/4.07 cnf(735,plain,
% 3.99/4.07 (~E(f33(x7351),x7351)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(738,plain,
% 3.99/4.07 (~E(f33(x7381),x7381)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(741,plain,
% 3.99/4.07 (P10(x7411,f24(x7412,x7411,x7413),f36(x7413,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(744,plain,
% 3.99/4.07 (P10(x7441,f24(x7442,x7441,x7443),f36(x7443,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(747,plain,
% 3.99/4.07 (P10(f19(x7471,x7472,f36(x7473,a1)),x7471,f36(x7473,a1))),
% 3.99/4.07 inference(rename_variables,[],[193])).
% 3.99/4.07 cnf(750,plain,
% 3.99/4.07 (P10(f19(x7501,x7502,f36(x7503,a1)),x7501,f36(x7503,a1))),
% 3.99/4.07 inference(rename_variables,[],[193])).
% 3.99/4.07 cnf(753,plain,
% 3.99/4.07 (P10(x7531,f24(x7532,x7531,x7533),f36(x7533,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(758,plain,
% 3.99/4.07 (~E(f33(x7581),x7581)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(767,plain,
% 3.99/4.07 (P10(f22(f36(x7671,a1)),x7672,f36(x7673,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,142,155,172,177,280,735,738,186,741,744,193,747,286,243,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527])).
% 3.99/4.07 cnf(768,plain,
% 3.99/4.07 (~P25(f16(f22(f36(x7681,a1)),x7682))),
% 3.99/4.07 inference(rename_variables,[],[286])).
% 3.99/4.07 cnf(771,plain,
% 3.99/4.07 (E(f14(x7711,f3(x7712),x7712,x7713,x7712),x7711)),
% 3.99/4.07 inference(rename_variables,[],[251])).
% 3.99/4.07 cnf(774,plain,
% 3.99/4.07 (~P25(f16(f22(f36(x7741,a1)),x7742))),
% 3.99/4.07 inference(rename_variables,[],[286])).
% 3.99/4.07 cnf(799,plain,
% 3.99/4.07 (~P25(f16(f16(f23(x7991),x7992),f22(f36(x7991,a1))))),
% 3.99/4.07 inference(rename_variables,[],[289])).
% 3.99/4.07 cnf(802,plain,
% 3.99/4.07 (P25(f16(f16(f23(x8021),x8022),f24(x8022,x8023,x8021)))),
% 3.99/4.07 inference(rename_variables,[],[208])).
% 3.99/4.07 cnf(811,plain,
% 3.99/4.07 (P10(x8111,x8111,f36(x8112,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(814,plain,
% 3.99/4.07 (P10(x8141,x8141,f36(x8142,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(834,plain,
% 3.99/4.07 (E(f25(f3(x8341),x8342,x8341,x8341),x8342)),
% 3.99/4.07 inference(rename_variables,[],[197])).
% 3.99/4.07 cnf(836,plain,
% 3.99/4.07 (P10(x8361,f17(x8362,x8361,f36(x8363,a1)),f36(x8363,a1))),
% 3.99/4.07 inference(rename_variables,[],[191])).
% 3.99/4.07 cnf(838,plain,
% 3.99/4.07 (P10(x8381,f24(x8382,x8381,x8383),f36(x8383,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(840,plain,
% 3.99/4.07 (~E(f33(x8401),x8401)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(841,plain,
% 3.99/4.07 (P10(x8411,x8411,a35)),
% 3.99/4.07 inference(scs_inference,[],[169,164,142,155,172,177,166,811,280,735,738,758,186,741,744,753,197,251,196,191,193,747,286,768,774,208,289,799,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345])).
% 3.99/4.07 cnf(844,plain,
% 3.99/4.07 (P10(f19(x8441,x8442,f36(x8443,a1)),x8441,f36(x8443,a1))),
% 3.99/4.07 inference(rename_variables,[],[193])).
% 3.99/4.07 cnf(847,plain,
% 3.99/4.07 (P10(x8471,f24(x8472,x8471,x8473),f36(x8473,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(851,plain,
% 3.99/4.07 (P10(f22(f36(x8511,a1)),x8512,f36(x8511,a1))),
% 3.99/4.07 inference(rename_variables,[],[173])).
% 3.99/4.07 cnf(854,plain,
% 3.99/4.07 (P10(x8541,f24(x8542,x8541,x8543),f36(x8543,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(857,plain,
% 3.99/4.07 (P10(x8571,f17(x8571,x8572,a35),a35)),
% 3.99/4.07 inference(scs_inference,[],[169,164,142,148,155,172,177,166,811,280,735,738,758,186,741,744,753,838,847,197,251,196,191,193,747,750,259,173,284,286,768,774,208,289,799,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518])).
% 3.99/4.07 cnf(865,plain,
% 3.99/4.07 (~P7(f17(x8651,x8652,a35),x8651,a35)),
% 3.99/4.07 inference(scs_inference,[],[169,164,142,145,148,155,172,177,166,811,280,735,738,758,186,741,744,753,838,847,197,251,196,191,193,747,750,259,173,284,286,768,774,208,289,799,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481])).
% 3.99/4.07 cnf(870,plain,
% 3.99/4.07 (~P25(f16(f22(f36(x8701,a1)),x8702))),
% 3.99/4.07 inference(rename_variables,[],[286])).
% 3.99/4.07 cnf(877,plain,
% 3.99/4.07 (P10(f19(x8771,x8772,f36(x8773,a1)),x8771,f36(x8773,a1))),
% 3.99/4.07 inference(rename_variables,[],[193])).
% 3.99/4.07 cnf(880,plain,
% 3.99/4.07 (~P7(x8801,x8801,f36(x8802,a1))),
% 3.99/4.07 inference(rename_variables,[],[282])).
% 3.99/4.07 cnf(883,plain,
% 3.99/4.07 (P10(x8831,f24(x8832,x8831,x8833),f36(x8833,a1))),
% 3.99/4.07 inference(rename_variables,[],[186])).
% 3.99/4.07 cnf(892,plain,
% 3.99/4.07 (P25(f16(f16(f23(x8921),x8922),f24(x8922,x8923,x8921)))),
% 3.99/4.07 inference(rename_variables,[],[208])).
% 3.99/4.07 cnf(895,plain,
% 3.99/4.07 (P25(f16(f16(f23(x8951),x8952),f24(x8952,x8953,x8951)))),
% 3.99/4.07 inference(rename_variables,[],[208])).
% 3.99/4.07 cnf(898,plain,
% 3.99/4.07 (~E(f33(x8981),x8981)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(901,plain,
% 3.99/4.07 (~E(f33(x9011),x9011)),
% 3.99/4.07 inference(rename_variables,[],[280])).
% 3.99/4.07 cnf(904,plain,
% 3.99/4.07 (P10(x9041,x9041,f36(x9042,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(907,plain,
% 3.99/4.07 (~P25(f16(f16(f23(x9071),x9072),f22(f36(x9071,a1))))),
% 3.99/4.07 inference(rename_variables,[],[289])).
% 3.99/4.07 cnf(910,plain,
% 3.99/4.07 (P10(x9101,x9101,f36(x9102,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(913,plain,
% 3.99/4.07 (P10(x9131,x9131,f36(x9132,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(916,plain,
% 3.99/4.07 (~P25(f16(f16(f23(x9161),x9162),f22(f36(x9161,a1))))),
% 3.99/4.07 inference(rename_variables,[],[289])).
% 3.99/4.07 cnf(919,plain,
% 3.99/4.07 (P10(x9191,x9191,f36(x9192,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(922,plain,
% 3.99/4.07 (~P7(x9221,x9221,f36(x9222,a1))),
% 3.99/4.07 inference(rename_variables,[],[282])).
% 3.99/4.07 cnf(926,plain,
% 3.99/4.07 (P7(f22(f36(x9261,a1)),f24(x9262,f24(x9262,f22(f36(x9261,a1)),x9261),x9261),f36(x9261,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,145,148,152,154,155,172,177,166,811,814,904,910,913,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,284,286,768,774,208,802,892,895,289,799,907,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598])).
% 3.99/4.07 cnf(927,plain,
% 3.99/4.07 (P25(f16(f16(f23(x9271),x9272),f24(x9272,x9273,x9271)))),
% 3.99/4.07 inference(rename_variables,[],[208])).
% 3.99/4.07 cnf(930,plain,
% 3.99/4.07 (P10(x9301,x9301,f36(x9302,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(934,plain,
% 3.99/4.07 (P10(x9341,x9341,f36(x9342,a1))),
% 3.99/4.07 inference(rename_variables,[],[166])).
% 3.99/4.07 cnf(941,plain,
% 3.99/4.07 (~P25(f16(f16(f23(x9411),x9412),f22(f36(x9411,a1))))),
% 3.99/4.07 inference(rename_variables,[],[289])).
% 3.99/4.07 cnf(945,plain,
% 3.99/4.07 (P10(f22(f36(x9451,a1)),x9452,f36(x9451,a1))),
% 3.99/4.07 inference(rename_variables,[],[173])).
% 3.99/4.07 cnf(950,plain,
% 3.99/4.07 (~P25(f16(f16(f23(x9501),x9502),f22(f36(x9501,a1))))),
% 3.99/4.07 inference(rename_variables,[],[289])).
% 3.99/4.07 cnf(953,plain,
% 3.99/4.07 (~P25(f16(f16(f23(f34(a2)),a43),a39))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,145,148,152,154,155,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479])).
% 3.99/4.07 cnf(981,plain,
% 3.99/4.07 (P24(f36(x9811,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,144,145,147,148,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301])).
% 3.99/4.07 cnf(985,plain,
% 3.99/4.07 (P11(f36(x9851,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,144,145,147,148,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299])).
% 3.99/4.07 cnf(991,plain,
% 3.99/4.07 (P18(f36(x9911,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296])).
% 3.99/4.07 cnf(993,plain,
% 3.99/4.07 (P17(f36(x9931,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295])).
% 3.99/4.07 cnf(997,plain,
% 3.99/4.07 (P13(f36(x9971,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,284,286,768,774,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295,294,293])).
% 3.99/4.07 cnf(1266,plain,
% 3.99/4.07 (~P10(f20(f22(f36(x12661,a1)),f36(x12661,a1)),f20(f33(f22(f36(x12661,a1))),f36(x12661,a1)),f36(x12661,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,901,186,741,744,753,838,847,854,197,251,196,191,193,747,750,844,259,173,851,945,285,283,284,286,768,774,870,174,208,802,892,895,927,289,799,907,916,941,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295,294,293,292,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,721,666,544,498,497,496,409,388,387,354,348,342,341,340,339,325,322,321,307,291,452,451,441,440,439,438,378,355,333,332,330,329,328,327,326,324,323,619,618,564,563,541,540,539,538,537,536,535,534,533,532,503,472,471,470,469,423,422,417,416,415,414,405,377,683,682,673,672,636,635,584,583,582,581,543,542,468,455,453,675,674,642,641,578,577])).
% 3.99/4.07 cnf(1296,plain,
% 3.99/4.07 (~P10(f6(f23(x12961),f33(f22(f36(x12961,a1))),x12961,f36(x12961,a1),a1),f6(f23(x12961),f22(f36(x12961,a1)),x12961,f36(x12961,a1),a1),f36(x12961,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,282,880,280,735,738,758,840,898,901,186,741,744,753,838,847,854,197,251,771,196,191,193,747,750,844,877,259,173,851,945,285,283,284,286,768,774,870,174,208,802,892,895,927,289,799,907,916,941,950,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295,294,293,292,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,721,666,544,498,497,496,409,388,387,354,348,342,341,340,339,325,322,321,307,291,452,451,441,440,439,438,378,355,333,332,330,329,328,327,326,324,323,619,618,564,563,541,540,539,538,537,536,535,534,533,532,503,472,471,470,469,423,422,417,416,415,414,405,377,683,682,673,672,636,635,584,583,582,581,543,542,468,455,453,675,674,642,641,578,577,555,554,665,660,659,658,627,626,622,557,546,720,662,630,724])).
% 3.99/4.07 cnf(1423,plain,
% 3.99/4.07 (~P10(x14231,x14232,f36(x14233,a1))+~P10(x14234,x14231,f36(x14233,a1))+E(f19(x14231,f19(x14232,x14234,f36(x14233,a1)),f36(x14233,a1)),x14234)),
% 3.99/4.07 inference(rename_variables,[],[604])).
% 3.99/4.07 cnf(1463,plain,
% 3.99/4.07 (~P10(f33(f22(a1)),f22(a1),a1)),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,146,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,934,282,880,922,280,735,738,758,840,898,901,186,741,744,753,838,847,854,197,834,198,251,771,252,253,254,163,167,196,191,836,193,747,750,844,877,194,195,259,173,851,945,285,283,284,286,768,774,870,174,208,802,892,895,927,289,799,907,916,941,950,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295,294,293,292,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,721,666,544,498,497,496,409,388,387,354,348,342,341,340,339,325,322,321,307,291,452,451,441,440,439,438,378,355,333,332,330,329,328,327,326,324,323,619,618,564,563,541,540,539,538,537,536,535,534,533,532,503,472,471,470,469,423,422,417,416,415,414,405,377,683,682,673,672,636,635,584,583,582,581,543,542,468,455,453,675,674,642,641,578,577,555,554,665,660,659,658,627,626,622,557,546,720,662,630,724,723,722,137,136,135,133,131,119,118,117,113,112,111,108,514,512,487,486,483,482,670,669,668,667,466,367,366,365,364,363,362,315,314,313,312,310,509,508,507,506,490,478,477,476,475,437,436,435,434,390,389,359,358,357,356,576,611,556,492,444,443,711,696,631,603,601,580,568,604,1423,585,522,521,520,519,705,597,646,645,644,632,617,671,655,653,462,461,421,403])).
% 3.99/4.07 cnf(1482,plain,
% 3.99/4.07 (P7(f29(f33(f22(a1)),f22(a1),a1),f29(f5(a38,x14821,f34(a2),a1),f16(x14821,a43),a1),f36(a1,a1))),
% 3.99/4.07 inference(scs_inference,[],[169,164,281,139,140,142,143,144,145,146,147,148,149,150,152,154,155,157,159,161,172,177,166,811,814,904,910,913,919,930,934,282,880,922,280,735,738,758,840,898,901,186,741,744,753,838,847,854,883,197,834,198,251,771,252,253,254,163,167,196,191,836,193,747,750,844,877,194,195,259,173,851,945,285,283,284,286,768,774,870,174,208,802,892,895,927,289,799,907,916,941,950,243,244,199,2,336,335,331,407,592,450,589,588,587,586,559,505,491,418,408,406,527,719,706,692,680,664,663,573,567,446,606,510,467,708,699,678,677,676,634,633,579,561,560,661,610,621,620,608,132,114,107,106,3,345,500,499,474,420,518,516,485,484,481,480,413,607,566,531,530,529,424,657,656,489,488,338,337,493,572,686,685,687,599,615,609,598,694,679,464,463,625,525,612,684,479,386,385,384,383,382,380,376,320,319,318,304,303,302,301,300,299,298,297,296,295,294,293,292,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,721,666,544,498,497,496,409,388,387,354,348,342,341,340,339,325,322,321,307,291,452,451,441,440,439,438,378,355,333,332,330,329,328,327,326,324,323,619,618,564,563,541,540,539,538,537,536,535,534,533,532,503,472,471,470,469,423,422,417,416,415,414,405,377,683,682,673,672,636,635,584,583,582,581,543,542,468,455,453,675,674,642,641,578,577,555,554,665,660,659,658,627,626,622,557,546,720,662,630,724,723,722,137,136,135,133,131,119,118,117,113,112,111,108,514,512,487,486,483,482,670,669,668,667,466,367,366,365,364,363,362,315,314,313,312,310,509,508,507,506,490,478,477,476,475,437,436,435,434,390,389,359,358,357,356,576,611,556,492,444,443,711,696,631,603,601,580,568,604,1423,585,522,521,520,519,705,597,646,645,644,632,617,671,655,653,462,461,421,403,373,552,549,640,639,638,637,595,590])).
% 3.99/4.07 cnf(1516,plain,
% 3.99/4.07 (~E(f22(f36(x15161,a1)),f24(x15162,x15163,x15161))),
% 3.99/4.07 inference(rename_variables,[],[284])).
% 3.99/4.07 cnf(1527,plain,
% 3.99/4.07 (~P7(x15271,x15271,f36(x15272,a1))),
% 3.99/4.07 inference(rename_variables,[],[282])).
% 3.99/4.07 cnf(1528,plain,
% 3.99/4.07 (P24(f36(x15281,a1))),
% 3.99/4.07 inference(rename_variables,[],[981])).
% 3.99/4.07 cnf(1531,plain,
% 3.99/4.07 (P10(f25(x15311,f18(x15312,x15313,f36(x15314,a1)),x15314,x15315),f18(f25(x15311,x15312,x15314,x15315),f25(x15311,x15313,x15314,x15315),f36(x15315,a1)),f36(x15315,a1))),
% 3.99/4.07 inference(rename_variables,[],[271])).
% 3.99/4.07 cnf(1532,plain,
% 3.99/4.07 (~P7(x15321,x15321,f36(x15322,a1))),
% 3.99/4.07 inference(rename_variables,[],[282])).
% 3.99/4.07 cnf(1545,plain,
% 3.99/4.07 (P11(f36(x15451,a1))),
% 3.99/4.07 inference(rename_variables,[],[985])).
% 3.99/4.07 cnf(1562,plain,
% 3.99/4.07 (~P10(f20(f22(f36(x15621,a1)),f36(x15621,a1)),f20(f33(f22(f36(x15621,a1))),f36(x15621,a1)),f36(x15621,a1))),
% 3.99/4.07 inference(rename_variables,[],[1266])).
% 3.99/4.07 cnf(1570,plain,
% 3.99/4.07 (P18(f36(x15701,a1))),
% 3.99/4.07 inference(rename_variables,[],[991])).
% 3.99/4.07 cnf(1584,plain,
% 3.99/4.07 (~P10(f20(f22(f36(x15841,a1)),f36(x15841,a1)),f20(f33(f22(f36(x15841,a1))),f36(x15841,a1)),f36(x15841,a1))),
% 3.99/4.07 inference(rename_variables,[],[1266])).
% 3.99/4.07 cnf(1587,plain,
% 3.99/4.07 (~P10(f20(f22(f36(x15871,a1)),f36(x15871,a1)),f20(f33(f22(f36(x15871,a1))),f36(x15871,a1)),f36(x15871,a1))),
% 3.99/4.07 inference(rename_variables,[],[1266])).
% 3.99/4.07 cnf(1592,plain,
% 3.99/4.07 (P7(f22(f36(x15921,a1)),f24(x15922,f24(x15922,f22(f36(x15921,a1)),x15921),x15921),f36(x15921,a1))),
% 3.99/4.07 inference(rename_variables,[],[926])).
% 3.99/4.07 cnf(1598,plain,
% 3.99/4.07 (~P10(f20(f22(f36(x15981,a1)),f36(x15981,a1)),f20(f33(f22(f36(x15981,a1))),f36(x15981,a1)),f36(x15981,a1))),
% 3.99/4.07 inference(rename_variables,[],[1266])).
% 3.99/4.07 cnf(1609,plain,
% 3.99/4.07 ($false),
% 3.99/4.07 inference(scs_inference,[],[169,726,153,271,1531,272,246,166,282,1527,1532,186,284,1516,286,146,289,148,152,142,140,172,1266,1562,1584,1587,1598,926,1592,1296,767,1482,981,1528,985,1545,991,1570,993,997,953,728,841,857,865,1463,399,445,442,643,460,459,458,614,718,717,593,491,408,567,398,512,486,484,483,482,481,667,315,314,509,508,506,475,437,358,611,493,603,601,572]),
% 3.99/4.07 ['proof']).
% 3.99/4.07 % SZS output end Proof
% 3.99/4.07 % Total time :3.230000s
%------------------------------------------------------------------------------