TSTP Solution File: SWV837-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 21:35:26 EDT 2023
% Result : Unsatisfiable 2.77s 2.81s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:17:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.66/2.78 %-------------------------------------------
% 2.66/2.78 % File :CSE---1.6
% 2.66/2.78 % Problem :theBenchmark
% 2.66/2.78 % Transform :cnf
% 2.66/2.78 % Format :tptp:raw
% 2.66/2.78 % Command :java -jar mcs_scs.jar %d %s
% 2.66/2.78
% 2.66/2.78 % Result :Theorem 1.970000s
% 2.66/2.78 % Output :CNFRefutation 1.970000s
% 2.66/2.78 %-------------------------------------------
% 2.66/2.78 %------------------------------------------------------------------------------
% 2.66/2.78 % File : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% 2.66/2.78 % Domain : Software Verification
% 2.66/2.78 % Problem : Hoare logic with procedures 216_1
% 2.66/2.78 % Version : Especial.
% 2.66/2.78 % English : Completeness is taken relative to completeness of the underlying
% 2.66/2.78 % logic. Two versions of completeness proof: nested single recursion
% 2.66/2.78 % and simultaneous recursion in call rule.
% 2.66/2.78
% 2.66/2.78 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.66/2.78 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.66/2.78 % Source : [Nip10]
% 2.66/2.78 % Names : Hoare-216_1 [Nip10]
% 2.66/2.78
% 2.66/2.78 % Status : Unsatisfiable
% 2.66/2.78 % Rating : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.28 v5.2.0, 0.12 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0
% 2.66/2.78 % Syntax : Number of clauses : 574 ( 129 unt; 60 nHn; 301 RR)
% 2.66/2.78 % Number of literals : 1344 ( 301 equ; 733 neg)
% 2.66/2.78 % Maximal clause size : 6 ( 2 avg)
% 2.66/2.78 % Maximal term depth : 6 ( 1 avg)
% 2.66/2.78 % Number of predicates : 28 ( 27 usr; 0 prp; 1-4 aty)
% 2.66/2.78 % Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% 2.66/2.78 % Number of variables : 1896 ( 181 sgn)
% 2.66/2.78 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.66/2.78
% 2.66/2.78 % Comments :
% 2.66/2.78 %------------------------------------------------------------------------------
% 2.66/2.78 cnf(cls_order__less__trans_0,axiom,
% 2.66/2.78 ( ~ class_Orderings_Opreorder(T_a)
% 2.66/2.78 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.66/2.78 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.66/2.78 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_sup__idem_0,axiom,
% 2.66/2.78 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.78 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_Un__absorb_0,axiom,
% 2.66/2.78 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_finite__vimageI_0,axiom,
% 2.66/2.78 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 2.66/2.78 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 2.66/2.78 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_inf__sup__distrib2_0,axiom,
% 2.66/2.78 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.66/2.78 | 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) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_inf__sup__distrib1_0,axiom,
% 2.66/2.78 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.66/2.78 | 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) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_Int__Un__distrib_0,axiom,
% 2.66/2.78 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)) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_Int__Un__distrib2_0,axiom,
% 2.66/2.78 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)) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_Diff__triv_0,axiom,
% 2.66/2.78 ( 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))
% 2.66/2.78 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_singletonE_0,axiom,
% 2.66/2.78 ( V_b = V_a
% 2.66/2.78 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 2.66/2.78 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.78 | 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)
% 2.66/2.78 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_image__subset__iff_0,axiom,
% 2.66/2.78 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 2.66/2.78 | ~ c_in(V_x,V_A,T_b)
% 2.66/2.78 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_finite__surj_0,axiom,
% 2.66/2.78 ( c_Finite__Set_Ofinite(V_B,T_b)
% 2.66/2.78 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.78 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_inj__on__image__Int_0,axiom,
% 2.66/2.78 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.78 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.66/2.78 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.66/2.78 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.66/2.78
% 2.66/2.78 cnf(cls_subset__insert__iff_0,axiom,
% 2.66/2.78 ( 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))
% 2.66/2.78 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_subset__insert__iff_3,axiom,
% 2.66/2.79 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ 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)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_diff__single__insert_0,axiom,
% 2.66/2.79 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ 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)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__image__subset__iff_0,axiom,
% 2.66/2.79 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__image__subset__iff_1,axiom,
% 2.66/2.79 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.79 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__insert_0,axiom,
% 2.66/2.79 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insert__Diff1_0,axiom,
% 2.66/2.79 ( 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))
% 2.66/2.79 | ~ c_in(V_x,V_B,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.79 | 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)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__atLeast_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_ivl__disj__int_I8_J_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.79 | 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)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubset__insert__iff_1,axiom,
% 2.66/2.79 ( 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))
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | c_in(V_x,V_B,T_a)
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubset__insert__iff_4,axiom,
% 2.66/2.79 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ 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))
% 2.66/2.79 | c_in(V_x,V_B,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_ComplD_0,axiom,
% 2.66/2.79 ( ~ c_in(V_c,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_ComplI_0,axiom,
% 2.66/2.79 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.79 | c_in(V_c,V_A,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inf__compl__bot_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_compl__inf__bot_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__disjoint_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__disjoint2_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_finite__Diff_0,axiom,
% 2.66/2.79 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.79 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__diff_0,axiom,
% 2.66/2.79 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_empty__is__image_0,axiom,
% 2.66/2.79 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 2.66/2.79 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Un__insert__left_0,axiom,
% 2.66/2.79 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) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Un__insert__right_0,axiom,
% 2.66/2.79 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) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_vimage__Diff_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubset__insert__iff_8,axiom,
% 2.66/2.79 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ 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))
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_image__vimage__subset_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__vimage__image__eq_0,axiom,
% 2.66/2.79 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_vimage__UNIV_0,axiom,
% 2.66/2.79 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubset__trans_0,axiom,
% 2.66/2.79 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubsetD_0,axiom,
% 2.66/2.79 ( c_in(V_c,V_B,T_a)
% 2.66/2.79 | ~ c_in(V_c,V_A,T_a)
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_xt1_I10_J_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.79 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.66/2.79 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__insert_2,axiom,
% 2.66/2.79 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 2.66/2.79 | c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,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,T_b),T_b)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insert__iff_1,axiom,
% 2.66/2.79 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insertI1_0,axiom,
% 2.66/2.79 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insertCI_1,axiom,
% 2.66/2.79 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_ivl__disj__un_I13_J_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.79 | 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)
% 2.66/2.79 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insert__commute_0,axiom,
% 2.66/2.79 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) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_mem__def_1,axiom,
% 2.66/2.79 ( c_in(V_x,V_S,T_a)
% 2.66/2.79 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_mem__def_0,axiom,
% 2.66/2.79 ( hBOOL(hAPP(V_S,V_x))
% 2.66/2.79 | ~ c_in(V_x,V_S,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__Un_3,axiom,
% 2.66/2.79 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.79 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__Un_2,axiom,
% 2.66/2.79 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Diff__idemp_0,axiom,
% 2.66/2.79 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_rangeI_0,axiom,
% 2.66/2.79 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.66/2.79 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) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_eq__eqI_1,axiom,
% 2.66/2.79 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.66/2.79 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.66/2.79 | V_xa = V_y ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_eq__eqI_0,axiom,
% 2.66/2.79 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.66/2.79 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.66/2.79 | V_x_H = V_y_H ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_image__empty_0,axiom,
% 2.66/2.79 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Diff__eq_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_diff__eq_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_image__diff__subset_0,axiom,
% 2.66/2.79 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__empty_0,axiom,
% 2.66/2.79 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Un__left__commute_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Un__assoc_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_sup__assoc_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_sup__left__commute_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_IntE_1,axiom,
% 2.66/2.79 ( c_in(V_c,V_B,T_a)
% 2.66/2.79 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_IntE_0,axiom,
% 2.66/2.79 ( c_in(V_c,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__contraD_0,axiom,
% 2.66/2.79 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.66/2.79 | ~ c_in(V_y,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | V_x = V_y
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__iff_0,axiom,
% 2.66/2.79 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.66/2.79 | ~ c_in(V_y,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.79 | V_x = V_y ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__on__def_0,axiom,
% 2.66/2.79 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.66/2.79 | ~ c_in(V_xa,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.79 | V_x = V_xa ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inj__onD_0,axiom,
% 2.66/2.79 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.66/2.79 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.79 | V_x = V_y
% 2.66/2.79 | ~ c_in(V_y,V_A,T_a)
% 2.66/2.79 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_atMost__Int__atLeast_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Int__commute_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inf__commute_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.66/2.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Diff__partition_0,axiom,
% 2.66/2.79 ( 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
% 2.66/2.79 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_lessThan__eq__iff_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.79 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 2.66/2.79 | V_x = V_y ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_distrib__inf__le_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__lessThan_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_insert__Diff__single_0,axiom,
% 2.66/2.79 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) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_psubset__insert__iff_5,axiom,
% 2.66/2.79 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.79 | ~ 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))
% 2.66/2.79 | c_in(V_x,V_B,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_compl__unique_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.66/2.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.66/2.79 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_singleton__inject_0,axiom,
% 2.66/2.79 ( 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)
% 2.66/2.79 | V_a = V_b ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 2.66/2.79 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.79 | 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) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Un__Int__crazy_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_bex__empty_0,axiom,
% 2.66/2.79 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.66/2.79 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__partition2_0,axiom,
% 2.66/2.79 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Compl__partition_0,axiom,
% 2.66/2.79 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_compl__sup__top_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_sup__compl__top_0,axiom,
% 2.66/2.79 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.66/2.79 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.66/2.79 | c_in(V_x,V_xa,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_Diff__iff_2,axiom,
% 2.66/2.79 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.79 | c_in(V_c,V_B,T_a)
% 2.66/2.79 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_DiffI_0,axiom,
% 2.66/2.79 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.79 | c_in(V_c,V_B,T_a)
% 2.66/2.79 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_vimage__Compl_0,axiom,
% 2.66/2.79 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)) ).
% 2.66/2.79
% 2.66/2.79 cnf(cls_image__set__diff_0,axiom,
% 2.66/2.80 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__subset_0,axiom,
% 2.66/2.80 ( c_in(V_x,V_B,T_a)
% 2.66/2.80 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__code_2,axiom,
% 2.66/2.80 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__image_0,axiom,
% 2.66/2.80 ( 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)
% 2.66/2.80 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__insert__iff_2,axiom,
% 2.66/2.80 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__insert__iff_1,axiom,
% 2.66/2.80 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a)
% 2.66/2.80 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__insert_1,axiom,
% 2.66/2.80 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__insert_0,axiom,
% 2.66/2.80 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__ident_0,axiom,
% 2.66/2.80 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 2.66/2.80 | c_in(V_x,V_B,T_a)
% 2.66/2.80 | c_in(V_x,V_A,T_a)
% 2.66/2.80 | V_A = V_B ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__insert__right_1,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | c_in(V_a,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__insert__left_1,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | c_in(V_a,V_C,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__empty_1,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__empty_0,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.66/2.80 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 2.66/2.80 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__Diff__cancel2_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__Diff__cancel_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__Diff_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_greaterThan__iff_0,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_k,V_i,T_a)
% 2.66/2.80 | ~ c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_greaterThan__iff_1,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_k,V_i,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimage__eq_1,axiom,
% 2.66/2.80 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)
% 2.66/2.80 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimageI2_0,axiom,
% 2.66/2.80 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)
% 2.66/2.80 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimageI_0,axiom,
% 2.66/2.80 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)
% 2.66/2.80 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimageE_0,axiom,
% 2.66/2.80 ( c_in(hAPP(V_f,V_a),V_B,T_b)
% 2.66/2.80 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimageD_0,axiom,
% 2.66/2.80 ( c_in(hAPP(V_f,V_a),V_A,T_b)
% 2.66/2.80 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__eq__neg__sup_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__insert__iff_9,axiom,
% 2.66/2.80 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ 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))
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__commute_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__commute_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__Int_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_compl__inf_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_neg__inf__eq__sup_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__absorb_0,axiom,
% 2.66/2.80 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 2.66/2.80 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__is__Un_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastatMost__psubset__iff_2,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 2.66/2.80 | ~ c_lessequals(V_a,V_b,T_a)
% 2.66/2.80 | ~ 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__left__absorb_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__left__idem_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_empty__is__image_1,axiom,
% 2.66/2.80 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_lessThan__iff_0,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_i,V_k,T_a)
% 2.66/2.80 | ~ c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_lessThan__iff_1,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__top__right_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__top__left_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__UNIV__left_0,axiom,
% 2.66/2.80 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__UNIV__right_0,axiom,
% 2.66/2.80 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__Diff__eq_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__insert_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__insert2_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Diff2_0,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Diff2_1,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__not__empty_0,axiom,
% 2.66/2.80 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimage__singleton__eq_1,axiom,
% 2.66/2.80 c_in(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),T_aa) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__inter__insert_0,axiom,
% 2.66/2.80 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) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_greaterThan__eq__iff_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)
% 2.66/2.80 | V_x = V_y ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__absorb2_0,axiom,
% 2.66/2.80 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) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__code_0,axiom,
% 2.66/2.80 ( hBOOL(hAPP(V_A,V_x))
% 2.66/2.80 | V_y = V_x
% 2.66/2.80 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__Compl__self__eq_1,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_DiffE_0,axiom,
% 2.66/2.80 ( c_in(V_c,V_A,T_a)
% 2.66/2.80 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 2.66/2.80 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.66/2.80 | V_A = V_B ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_DiffE_1,axiom,
% 2.66/2.80 ( ~ c_in(V_c,V_B,T_a)
% 2.66/2.80 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__bot__right_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__bot__left_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__empty__left_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__empty__right_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeast__iff_0,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_lessequals(V_k,V_i,T_a)
% 2.66/2.80 | ~ c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeast__iff_1,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)
% 2.66/2.80 | ~ c_lessequals(V_k,V_i,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__insert_0,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__insert_1,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite_OemptyI_0,axiom,
% 2.66/2.80 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_image__Int_0,axiom,
% 2.66/2.80 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_image__Int__subset_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Un_2,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__UnI_0,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_UNIV__I_0,axiom,
% 2.66/2.80 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__empty_0,axiom,
% 2.66/2.80 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__cancel_0,axiom,
% 2.66/2.80 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 2.66/2.80 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__image__mem__iff_0,axiom,
% 2.66/2.80 ( c_in(V_a,V_A,T_a)
% 2.66/2.80 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__image__mem__iff_1,axiom,
% 2.66/2.80 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.66/2.80 | ~ c_in(V_a,V_A,T_a)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_not__psubset__empty_0,axiom,
% 2.66/2.80 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_injD_0,axiom,
% 2.66/2.80 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.66/2.80 | V_x = V_y ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup1E_0,axiom,
% 2.66/2.80 ( hBOOL(hAPP(V_B,V_x))
% 2.66/2.80 | hBOOL(hAPP(V_A,V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup1CI_0,axiom,
% 2.66/2.80 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup1CI_1,axiom,
% 2.66/2.80 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_endo__inj__surj_0,axiom,
% 2.66/2.80 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.66/2.80 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_UnE_0,axiom,
% 2.66/2.80 ( c_in(V_c,V_B,T_a)
% 2.66/2.80 | c_in(V_c,V_A,T_a)
% 2.66/2.80 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__left__commute_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__assoc_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__assoc_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__left__commute_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | 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)
% 2.66/2.80 | ~ c_lessequals(V_m,V_u,T_a)
% 2.66/2.80 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Un_0,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(V_F,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Un_1,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(V_G,T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__bot__right_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__bot__left_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__empty__left_0,axiom,
% 2.66/2.80 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 ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Un__empty__right_0,axiom,
% 2.66/2.80 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 ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_empty__Diff_0,axiom,
% 2.66/2.80 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_neg__less__iff__less_1,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.66/2.80 | 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)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_neg__less__iff__less_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.66/2.80 | ~ 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__image__eq__iff_0,axiom,
% 2.66/2.80 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 2.66/2.80 | V_A = V_B ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__atMost_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__eq__top__eq2_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.66/2.80 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__eq__top__eq1_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 2.66/2.80 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__insert__iff_2,axiom,
% 2.66/2.80 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a)
% 2.66/2.80 | c_in(V_x,V_B,T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__insert__iff_3,axiom,
% 2.66/2.80 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | c_in(V_x,V_A,T_a)
% 2.66/2.80 | c_in(V_x,V_B,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | 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)
% 2.66/2.80 | ~ c_lessequals(V_m,V_u,T_a)
% 2.66/2.80 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_compl__top__eq_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.80 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__UNIV__eq_0,axiom,
% 2.66/2.80 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atMost__iff_0,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_lessequals(V_i,V_k,T_a)
% 2.66/2.80 | ~ c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atMost__iff_1,axiom,
% 2.66/2.80 ( ~ class_HOL_Oord(T_a)
% 2.66/2.80 | c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)
% 2.66/2.80 | ~ c_lessequals(V_i,V_k,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_bot1E_0,axiom,
% 2.66/2.80 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__Int__distrib_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__Int__distrib2_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__insert__iff_0,axiom,
% 2.66/2.80 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_in(V_x,V_B,T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__insert__iff_6,axiom,
% 2.66/2.80 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_in(V_x,V_B,T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_UNIV__not__empty_0,axiom,
% 2.66/2.80 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 2.66/2.80 ( ~ c_in(V_x,V_B,T_a)
% 2.66/2.80 | ~ c_in(V_x,V_A,T_a)
% 2.66/2.80 | 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__top__right_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf__top__left_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 2.66/2.80 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__UNIV__left_0,axiom,
% 2.66/2.80 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Int__UNIV__right_0,axiom,
% 2.66/2.80 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_image__vimage__eq_0,axiom,
% 2.66/2.80 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_distrib__sup__le_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_ivl__disj__un_I1_J_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__Int2_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastLessThan__empty_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_psubset__eq_1,axiom,
% 2.66/2.80 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_order__less__le_1,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_linorder__neq__iff_1,axiom,
% 2.66/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_order__less__irrefl_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Opreorder(T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_sup__inf__absorb_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Olattice(T_a)
% 2.66/2.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_top1I_0,axiom,
% 2.66/2.80 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastatMost__empty_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Compl__Un_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_compl__sup_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_neg__sup__eq__inf_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__disjoint_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite_0,axiom,
% 2.66/2.80 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.66/2.80 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimage__Un_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_ivl__disj__int_I7_J_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__on__insert_1,axiom,
% 2.66/2.80 ( ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,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,T_b),T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__Compl_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_single__Diff__lessThan_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_insert__Diff__if_1,axiom,
% 2.66/2.80 ( 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)
% 2.66/2.80 | c_in(V_x,V_B,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_subset__insert__iff_4,axiom,
% 2.66/2.80 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf1E_1,axiom,
% 2.66/2.80 ( hBOOL(hAPP(V_B,V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inf1E_0,axiom,
% 2.66/2.80 ( hBOOL(hAPP(V_A,V_x))
% 2.66/2.80 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__surj__inj_0,axiom,
% 2.66/2.80 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 2.66/2.80 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__on__Un_1,axiom,
% 2.66/2.80 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_inj__on__Un_0,axiom,
% 2.66/2.80 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimage__subsetI_0,axiom,
% 2.66/2.80 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.66/2.80 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__insert__absorb_0,axiom,
% 2.66/2.80 ( 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
% 2.66/2.80 | c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_rev__image__eqI_0,axiom,
% 2.66/2.80 ( ~ c_in(V_x,V_A,T_aa)
% 2.66/2.80 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_image__iff_2,axiom,
% 2.66/2.80 ( ~ c_in(V_x,V_A,T_b)
% 2.66/2.80 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_image__eqI_0,axiom,
% 2.66/2.80 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 2.66/2.80 | ~ c_in(V_x,V_A,T_b) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_imageI_0,axiom,
% 2.66/2.80 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 2.66/2.80 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastatMost__psubset__iff_0,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_lessequals(V_c,V_a,T_a)
% 2.66/2.80 | ~ c_lessequals(V_a,V_b,T_a)
% 2.66/2.80 | ~ 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_atLeastatMost__psubset__iff_1,axiom,
% 2.66/2.80 ( ~ class_Orderings_Oorder(T_a)
% 2.66/2.80 | c_lessequals(V_b,V_d,T_a)
% 2.66/2.80 | ~ c_lessequals(V_a,V_b,T_a)
% 2.66/2.80 | ~ 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__subset__conv_1,axiom,
% 2.66/2.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 2.66/2.80 | ~ 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)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_Diff__subset__conv_0,axiom,
% 2.66/2.80 ( 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))
% 2.66/2.80 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_double__complement_0,axiom,
% 2.66/2.80 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 ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_minus__minus_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.66/2.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_double__compl_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.66/2.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_equation__minus__iff_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.66/2.80 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_equation__minus__iff_1,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.66/2.80 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_minus__equation__iff_1,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.66/2.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_less__supI1_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_less__supI2_0,axiom,
% 2.66/2.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_minus__diff__eq_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.66/2.80 | 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) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_vimage__Int_0,axiom,
% 2.66/2.80 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)) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Int_1,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_finite__Int_0,axiom,
% 2.66/2.80 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 2.66/2.80 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_less__minus__iff_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_less__minus__iff_1,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.66/2.80
% 2.66/2.80 cnf(cls_minus__less__iff_0,axiom,
% 2.66/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.66/2.80 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 2.66/2.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.66/2.80
% 2.77/2.80 cnf(cls_minus__less__iff_1,axiom,
% 2.77/2.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.80 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.77/2.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 2.77/2.80
% 2.77/2.80 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.77/2.80 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__neq__le__trans_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a)
% 2.77/2.81 | V_a = V_b ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__le__neq__trans_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.77/2.81 | V_a = V_b
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__less__le_2,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__le__less_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I12_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,V_a,T_a)
% 2.77/2.81 | V_a = V_b ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I11_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.77/2.81 | V_a = V_b
% 2.77/2.81 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__eqI_1,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__eqI_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.77/2.81 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__less__le__trans_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_z,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__le__less__trans_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I8_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I7_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_z,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__supE_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_a,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__supE_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_b,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__supI1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__supI2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__sup__iff_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__sup__iff_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_y,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_top__greatest_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Otop(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__le1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__le2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__infI_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__inf__iff_2,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__greatest_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__iff__sup_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__iff__sup_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__absorb1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__less__imp__le_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__le__less_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__le__not__le_2,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_bot__least_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Obot(T_a)
% 2.77/2.81 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__imp__neg__le_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_neg__le__iff__le_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_not__leE_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 2.77/2.81 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__not__less_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__not__less_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__not__le_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__not__le_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__le__not__le_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__iff__inf_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__iff__inf_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__absorb2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__supI_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__ge1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__ge2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__least_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_z,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__sup__iff_2,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insertE_0,axiom,
% 2.77/2.81 ( c_in(V_a,V_A,T_a)
% 2.77/2.81 | V_a = V_b
% 2.77/2.81 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.77/2.81 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 2.77/2.81 | V_x = V_y ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.77/2.81 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.77/2.81 | V_a = V_b ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | V_A = V_B ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__psubset__iff_6,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_c,V_d,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,V_d,T_a)
% 2.77/2.81 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__psubset__iff_5,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_c,V_d,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,V_d,T_a)
% 2.77/2.81 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__un_I2_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.77/2.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | V_x = V_y ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__neqE_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | V_x = V_y ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__less__linear_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__absorb_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__infI2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__infI1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__Diff__Int_0,axiom,
% 2.77/2.81 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 ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__imageI_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_psubset__insert__iff_7,axiom,
% 2.77/2.81 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | c_in(V_x,V_A,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | V_a = V_d
% 2.77/2.81 | V_a = V_c ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | V_b = V_c
% 2.77/2.81 | V_a = V_c ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | V_a = V_d
% 2.77/2.81 | V_b = V_d ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | V_b = V_c
% 2.77/2.81 | V_b = V_d ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__un_I8_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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)
% 2.77/2.81 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeast__eq__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 2.77/2.81 | V_x = V_y ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__compl_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__compl_1,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.77/2.81 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_empty__not__insert_0,axiom,
% 2.77/2.81 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_emptyE_0,axiom,
% 2.77/2.81 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_empty__iff_0,axiom,
% 2.77/2.81 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ball__empty_0,axiom,
% 2.77/2.81 ( hBOOL(hAPP(V_P,V_x))
% 2.77/2.81 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ex__in__conv_0,axiom,
% 2.77/2.81 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__insert__left_0,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | ~ c_in(V_a,V_C,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__insert__right_0,axiom,
% 2.77/2.81 ( 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)
% 2.77/2.81 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_image__insert_0,axiom,
% 2.77/2.81 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) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Diff__UNIV_0,axiom,
% 2.77/2.81 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__singleton__eq_0,axiom,
% 2.77/2.81 ( hAPP(V_f,V_a) = V_b
% 2.77/2.81 | ~ c_in(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),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__inf__distrib2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__inf__distrib1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__Int__distrib_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__Int__distrib2_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__code_1,axiom,
% 2.77/2.81 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__subset_2,axiom,
% 2.77/2.81 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_in(V_x,V_B,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_compl__bot__eq_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.77/2.81 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__empty__eq_0,axiom,
% 2.77/2.81 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olattice(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__left__idem_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__left__absorb_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_mono__sup_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.77/2.81 | ~ class_Lattices_Oupper__semilattice(T_b)
% 2.77/2.81 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,V_A),hAPP(V_f,V_B),T_b),hAPP(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)),T_b)
% 2.77/2.81 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__un_I10_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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)
% 2.77/2.81 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__Diff__insert_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__Diff__insert_1,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__UNIV_0,axiom,
% 2.77/2.81 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 2.77/2.81 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_UnCI_0,axiom,
% 2.77/2.81 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_in(V_c,V_B,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_UnCI_1,axiom,
% 2.77/2.81 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__Diff_0,axiom,
% 2.77/2.81 ( 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
% 2.77/2.81 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf__idem_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__absorb_0,axiom,
% 2.77/2.81 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insertCI_0,axiom,
% 2.77/2.81 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 2.77/2.81 | ~ c_in(V_a,V_B,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__iff_2,axiom,
% 2.77/2.81 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 2.77/2.81 | ~ c_in(V_a,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_image__is__empty_0,axiom,
% 2.77/2.81 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__psubset__iff_3,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_c,V_d,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Diff__Un_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__Diff_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inj__on__image__set__diff_0,axiom,
% 2.77/2.81 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__diff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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)
% 2.77/2.81 | ~ c_lessequals(V_i,V_n,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atMost__eq__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a)
% 2.77/2.81 | V_x = V_y ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inj__image__Compl__subset_0,axiom,
% 2.77/2.81 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 2.77/2.81 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_singleton__iff_1,axiom,
% 2.77/2.81 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__Compl__self__eq_0,axiom,
% 2.77/2.81 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__singletonD_0,axiom,
% 2.77/2.81 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__insert_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Diff__Int_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__greaterThan_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__code_0,axiom,
% 2.77/2.81 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 2.77/2.81 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__code_1,axiom,
% 2.77/2.81 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 2.77/2.81 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_IntI_0,axiom,
% 2.77/2.81 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_in(V_c,V_B,T_a)
% 2.77/2.81 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__iff_2,axiom,
% 2.77/2.81 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 2.77/2.81 | ~ c_in(V_c,V_B,T_a)
% 2.77/2.81 | ~ c_in(V_c,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_inf1I_0,axiom,
% 2.77/2.81 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 2.77/2.81 | ~ hBOOL(hAPP(V_B,V_x))
% 2.77/2.81 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_sup__eq__neg__inf_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.77/2.81 | 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__eqI_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__eqI_1,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__imageD_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(V_A,T_b)
% 2.77/2.81 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__empty_2,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__un_I14_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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)
% 2.77/2.81 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ivl__disj__int_I2_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_mono__inf_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | ~ class_Lattices_Olower__semilattice(T_b)
% 2.77/2.81 | c_lessequals(hAPP(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,V_A),hAPP(V_f,V_B),T_b),T_b)
% 2.77/2.81 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_image__Un_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__empty_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__psubset__iff_4,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_c,V_d,T_a)
% 2.77/2.81 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I9_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__less__asym_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__less__asym_H_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__infE_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_a,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__infE_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__infI1_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__infI2_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__inf__iff_0,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__inf__iff_1,axiom,
% 2.77/2.81 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_monoD_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | ~ class_Orderings_Oorder(T_b)
% 2.77/2.81 | c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__minus__iff_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__minus__iff_1,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.77/2.81 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_minus__le__iff_0,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 2.77/2.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_minus__le__iff_1,axiom,
% 2.77/2.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.77/2.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__fun__def_0,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__fun__def_2,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 2.77/2.81 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 2.77/2.81 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_less__fun__def_1,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 2.77/2.81 ( V_A = V_B
% 2.77/2.81 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_psubset__eq_2,axiom,
% 2.77/2.81 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | V_A = V_B
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__mono_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__image__iff_2,axiom,
% 2.77/2.81 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 2.77/2.81 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_image__mono_0,axiom,
% 2.77/2.81 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_double__diff_0,axiom,
% 2.77/2.81 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__mono_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_rev__finite__subset_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__psubset__trans_0,axiom,
% 2.77/2.81 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_psubset__subset__trans_0,axiom,
% 2.77/2.81 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_finite__subset_0,axiom,
% 2.77/2.81 ( c_Finite__Set_Ofinite(V_A,T_a)
% 2.77/2.81 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__inj__on_0,axiom,
% 2.77/2.81 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__iff_0,axiom,
% 2.77/2.81 ( c_in(V_t,V_B,T_a)
% 2.77/2.81 | ~ c_in(V_t,V_A,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_set__rev__mp_0,axiom,
% 2.77/2.81 ( c_in(V_x,V_B,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_in(V_x,V_A,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subsetD_0,axiom,
% 2.77/2.81 ( c_in(V_c,V_B,T_a)
% 2.77/2.81 | ~ c_in(V_c,V_A,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_set__mp_0,axiom,
% 2.77/2.81 ( c_in(V_x,V_B,T_a)
% 2.77/2.81 | ~ c_in(V_x,V_A,T_a)
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__subset__iff_1,axiom,
% 2.77/2.81 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__subset__iff_0,axiom,
% 2.77/2.81 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_predicate1I_1,axiom,
% 2.77/2.81 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__UNIV_0,axiom,
% 2.77/2.81 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__subset__iff_2,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__greatest_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__lower2_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__lower1_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__mono_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__empty_1,axiom,
% 2.77/2.81 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__empty_0,axiom,
% 2.77/2.81 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__Un__eq_1,axiom,
% 2.77/2.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 2.77/2.81 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__absorb2_0,axiom,
% 2.77/2.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 2.77/2.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__absorb1_0,axiom,
% 2.77/2.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_psubset__eq_0,axiom,
% 2.77/2.81 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Diff__mono_0,axiom,
% 2.77/2.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__insertI_0,axiom,
% 2.77/2.81 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_empty__subsetI_0,axiom,
% 2.77/2.81 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 2.77/2.81 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Compl__anti__mono_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__insertI2_0,axiom,
% 2.77/2.81 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_insert__subset_1,axiom,
% 2.77/2.81 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__absorb2_0,axiom,
% 2.77/2.81 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__absorb1_0,axiom,
% 2.77/2.81 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 2.77/2.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__subset__iff_2,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__upper2_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__upper1_0,axiom,
% 2.77/2.81 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)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Un__least_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Diff__subset_0,axiom,
% 2.77/2.81 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_vimage__mono_0,axiom,
% 2.77/2.81 ( 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))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__subset__iff_1,axiom,
% 2.77/2.81 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_Int__subset__iff_0,axiom,
% 2.77/2.81 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_predicate1I_0,axiom,
% 2.77/2.81 ( c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.77/2.81 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_empty_0,axiom,
% 2.77/2.81 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__funI_0,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 2.77/2.81 | ~ 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__fun__def_1,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 2.77/2.81 | ~ 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) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeast__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeast__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 2.77/2.81 | c_lessequals(V_a,V_b,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_c,V_a,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_b,V_d,T_a)
% 2.77/2.81 | ~ c_lessequals(V_a,V_b,T_a)
% 2.77/2.81 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_b,V_d,T_a)
% 2.77/2.81 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atMost__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atMost__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_greaterThan__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | 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))
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_greaterThan__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_lessThan__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_lessThan__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_c,V_a,T_a)
% 2.77/2.81 | c_lessequals(V_b,V_a,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_b,V_d,T_a)
% 2.77/2.81 | c_lessequals(V_b,V_a,T_a)
% 2.77/2.81 | ~ 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)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_linorder__linear_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Olinorder(T_a)
% 2.77/2.81 | c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_weaken_0,axiom,
% 2.77/2.81 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.77/2.81 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 2.77/2.81 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_rev__predicate1D_0,axiom,
% 2.77/2.81 ( hBOOL(hAPP(V_Q,V_x))
% 2.77/2.81 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__eq__refl_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__eq__iff_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_predicate1D_0,axiom,
% 2.77/2.81 ( hBOOL(hAPP(V_Q,V_x))
% 2.77/2.81 | ~ hBOOL(hAPP(V_P,V_x))
% 2.77/2.81 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__trans_0,axiom,
% 2.77/2.81 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_subset__refl_0,axiom,
% 2.77/2.81 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_equalityE_0,axiom,
% 2.77/2.81 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__trans_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Opreorder(T_a)
% 2.77/2.81 | c_lessequals(V_x,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_z,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_xt1_I6_J_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | c_lessequals(V_z,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_z,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_cut_0,axiom,
% 2.77/2.81 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.77/2.81 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 2.77/2.81 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__antisym__conv_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a)
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__antisym_0,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_order__eq__iff_2,axiom,
% 2.77/2.81 ( ~ class_Orderings_Oorder(T_a)
% 2.77/2.81 | V_x = V_y
% 2.77/2.81 | ~ c_lessequals(V_y,V_x,T_a)
% 2.77/2.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_set__eq__subset_2,axiom,
% 2.77/2.81 ( V_A = V_B
% 2.77/2.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_equalityI_0,axiom,
% 2.77/2.81 ( V_A = V_B
% 2.77/2.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 2.77/2.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_asm_0,axiom,
% 2.77/2.81 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.77/2.81 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_le__funD_0,axiom,
% 2.77/2.81 ( ~ class_HOL_Oord(T_b)
% 2.77/2.81 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 2.77/2.81 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_0,negated_conjecture,
% 2.77/2.81 c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_1,negated_conjecture,
% 2.77/2.81 c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_2,negated_conjecture,
% 2.77/2.81 c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_3,negated_conjecture,
% 2.77/2.81 c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_4,negated_conjecture,
% 2.77/2.81 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_conjecture_5,negated_conjecture,
% 2.77/2.81 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,v_tsa,t_a)
% 2.77/2.81 | ~ c_lessequals(v_G_Ha,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 2.77/2.81 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 2.77/2.81 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 2.77/2.81 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 2.77/2.81 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 2.77/2.81 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 2.77/2.81 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 2.77/2.81 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.77/2.81 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 2.77/2.81 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Lattices_Olattice(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.77/2.81 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Orderings_Otop,axiom,
% 2.77/2.81 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Orderings_Otop(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.77/2.81 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_Orderings_Obot(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_fun__HOL_Oord,axiom,
% 2.77/2.81 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 2.77/2.81 | ~ class_HOL_Oord(T_1) ) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 2.77/2.81 class_Lattices_Oupper__semilattice(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 2.77/2.81 class_Lattices_Olower__semilattice(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 2.77/2.81 class_Lattices_Odistrib__lattice(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 2.77/2.81 class_Lattices_Obounded__lattice(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 2.77/2.81 class_Lattices_Oboolean__algebra(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 2.77/2.81 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.77/2.81 class_Orderings_Opreorder(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 2.77/2.81 class_Lattices_Olattice(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.77/2.81 class_Orderings_Oorder(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Orderings_Otop,axiom,
% 2.77/2.81 class_Orderings_Otop(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.77/2.81 class_Orderings_Obot(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(clsarity_bool__HOL_Oord,axiom,
% 2.77/2.81 class_HOL_Oord(tc_bool) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.77/2.81 c_fequal(V_x,V_x,T_a) ).
% 2.77/2.81
% 2.77/2.81 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.77/2.81 ( V_X = V_Y
% 2.77/2.81 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 2.77/2.81
% 2.77/2.81 %------------------------------------------------------------------------------
% 2.77/2.81 %-------------------------------------------
% 2.77/2.81 % Proof found
% 2.77/2.81 % SZS status Theorem for theBenchmark
% 2.77/2.81 % SZS output start Proof
% 2.77/2.81 %ClaNum:674(EqnAxiom:100)
% 2.77/2.81 %VarNum:4287(SingletonVarNum:1623)
% 2.77/2.81 %MaxLitNum:6
% 2.77/2.81 %MaxfuncDepth:4
% 2.77/2.81 %SharedTerms:25
% 2.77/2.81 %goalClause: 113 114 115 122 220 356
% 2.77/2.81 %singleGoalClaCount:5
% 2.77/2.81 [101]P1(a1)
% 2.77/2.81 [102]P2(a1)
% 2.77/2.81 [103]P3(a1)
% 2.77/2.81 [104]P18(a1)
% 2.77/2.81 [105]P4(a1)
% 2.77/2.81 [106]P16(a1)
% 2.77/2.81 [107]P17(a1)
% 2.77/2.81 [108]P15(a1)
% 2.77/2.81 [109]P5(a1)
% 2.77/2.81 [110]P6(a1)
% 2.77/2.81 [111]P25(a1)
% 2.77/2.81 [112]P19(a1)
% 2.77/2.81 [113]P7(a23,a26,a2)
% 2.77/2.81 [114]P7(a24,a23,a2)
% 2.77/2.81 [115]P7(a27,a23,a2)
% 2.77/2.81 [220]~P7(a27,a26,a2)
% 2.77/2.81 [122]P13(a24,a27,f25(f22(a2),a1))
% 2.77/2.81 [117]P8(f3(f25(x1171,a1)),x1171)
% 2.77/2.81 [126]E(f10(f11(f25(x1261,a1)),f25(x1261,a1)),f3(f25(x1261,a1)))
% 2.77/2.81 [127]E(f10(f3(f25(x1271,a1)),f25(x1271,a1)),f11(f25(x1271,a1)))
% 2.77/2.81 [221]~E(f11(f25(x2211,a1)),f3(f25(x2211,a1)))
% 2.77/2.81 [116]P11(x1161,x1161,x1162)
% 2.77/2.81 [119]P13(x1191,x1191,f25(x1192,a1))
% 2.77/2.81 [222]~P10(x2221,x2221,f25(x2222,a1))
% 2.77/2.81 [120]E(f4(x1201,x1201,f25(x1202,a1)),x1201)
% 2.77/2.81 [121]E(f5(x1211,x1211,f25(x1212,a1)),x1211)
% 2.77/2.81 [123]E(f6(x1231,x1231,f25(x1232,a1)),f3(f25(x1232,a1)))
% 2.77/2.81 [124]P14(x1241,f11(f25(x1242,a1)),x1242)
% 2.77/2.81 [125]E(f10(f10(x1251,f25(x1252,a1)),f25(x1252,a1)),x1251)
% 2.77/2.81 [128]P13(x1281,f11(f25(x1282,a1)),f25(x1282,a1))
% 2.77/2.81 [129]P13(f3(f25(x1291,a1)),x1292,f25(x1291,a1))
% 2.77/2.81 [130]E(f4(x1301,f3(f25(x1302,a1)),f25(x1302,a1)),x1301)
% 2.77/2.81 [131]E(f5(x1311,f11(f25(x1312,a1)),f25(x1312,a1)),x1311)
% 2.77/2.81 [132]E(f6(x1321,f3(f25(x1322,a1)),f25(x1322,a1)),x1321)
% 2.77/2.81 [133]E(f4(f3(f25(x1331,a1)),x1332,f25(x1331,a1)),x1332)
% 2.77/2.81 [134]E(f5(f11(f25(x1341,a1)),x1342,f25(x1341,a1)),x1342)
% 2.77/2.81 [139]E(f4(x1391,f11(f25(x1392,a1)),f25(x1392,a1)),f11(f25(x1392,a1)))
% 2.77/2.81 [140]E(f5(x1401,f3(f25(x1402,a1)),f25(x1402,a1)),f3(f25(x1402,a1)))
% 2.77/2.81 [141]E(f6(x1411,f11(f25(x1412,a1)),f25(x1412,a1)),f3(f25(x1412,a1)))
% 2.77/2.81 [142]E(f4(f11(f25(x1421,a1)),x1422,f25(x1421,a1)),f11(f25(x1421,a1)))
% 2.77/2.81 [143]E(f5(f3(f25(x1431,a1)),x1432,f25(x1431,a1)),f3(f25(x1431,a1)))
% 2.77/2.81 [144]E(f6(f3(f25(x1441,a1)),x1442,f25(x1441,a1)),f3(f25(x1441,a1)))
% 2.77/2.81 [148]E(f6(f11(f25(x1481,a1)),x1482,f25(x1481,a1)),f10(x1482,f25(x1481,a1)))
% 2.77/2.81 [149]E(f4(x1491,f10(x1491,f25(x1492,a1)),f25(x1492,a1)),f11(f25(x1492,a1)))
% 2.77/2.81 [150]E(f5(x1501,f10(x1501,f25(x1502,a1)),f25(x1502,a1)),f3(f25(x1502,a1)))
% 2.77/2.81 [151]E(f4(f10(x1511,f25(x1512,a1)),x1511,f25(x1512,a1)),f11(f25(x1512,a1)))
% 2.77/2.81 [152]E(f5(f10(x1521,f25(x1522,a1)),x1521,f25(x1522,a1)),f3(f25(x1522,a1)))
% 2.77/2.81 [227]~P14(x2271,f3(f25(x2272,a1)),x2272)
% 2.77/2.81 [228]~P10(x2281,f3(f25(x2282,a1)),f25(x2282,a1))
% 2.77/2.81 [135]P7(x1351,f3(f25(f22(x1352),a1)),x1352)
% 2.77/2.81 [136]P26(f12(f11(f25(x1361,a1)),x1362))
% 2.77/2.81 [229]~P26(f12(f3(f25(x2291,a1)),x2292))
% 2.77/2.81 [147]P14(x1471,f13(x1471,x1472,x1473),x1473)
% 2.77/2.81 [154]P13(x1541,f13(x1542,x1541,x1543),f25(x1543,a1))
% 2.77/2.81 [137]E(f4(x1371,x1372,f25(x1373,a1)),f4(x1372,x1371,f25(x1373,a1)))
% 2.77/2.81 [138]E(f5(x1381,x1382,f25(x1383,a1)),f5(x1382,x1381,f25(x1383,a1)))
% 2.77/2.81 [156]E(f13(x1561,f13(x1561,x1562,x1563),x1563),f13(x1561,x1562,x1563))
% 2.77/2.81 [157]E(f5(x1571,f10(x1572,f25(x1573,a1)),f25(x1573,a1)),f6(x1571,x1572,f25(x1573,a1)))
% 2.77/2.81 [158]E(f6(x1581,f10(x1582,f25(x1583,a1)),f25(x1583,a1)),f5(x1581,x1582,f25(x1583,a1)))
% 2.77/2.81 [159]P13(x1591,f4(x1592,x1591,f25(x1593,a1)),f25(x1593,a1))
% 2.77/2.81 [160]P13(x1601,f4(x1601,x1602,f25(x1603,a1)),f25(x1603,a1))
% 2.77/2.81 [161]P13(f5(x1611,x1612,f25(x1613,a1)),x1612,f25(x1613,a1))
% 2.77/2.81 [162]P13(f5(x1621,x1622,f25(x1623,a1)),x1621,f25(x1623,a1))
% 2.77/2.81 [163]P13(f6(x1631,x1632,f25(x1633,a1)),x1631,f25(x1633,a1))
% 2.77/2.81 [164]P26(f12(f13(x1641,x1642,x1643),x1641))
% 2.77/2.81 [165]E(f5(x1651,f6(x1652,x1651,f25(x1653,a1)),f25(x1653,a1)),f3(f25(x1653,a1)))
% 2.77/2.81 [167]P9(x1671,f3(f25(x1672,a1)),x1672,x1673)
% 2.77/2.81 [169]E(f4(x1691,f4(x1691,x1692,f25(x1693,a1)),f25(x1693,a1)),f4(x1691,x1692,f25(x1693,a1)))
% 2.77/2.81 [170]E(f4(x1701,f6(x1702,x1701,f25(x1703,a1)),f25(x1703,a1)),f4(x1701,x1702,f25(x1703,a1)))
% 2.77/2.81 [171]E(f5(x1711,f5(x1711,x1712,f25(x1713,a1)),f25(x1713,a1)),f5(x1711,x1712,f25(x1713,a1)))
% 2.77/2.81 [172]E(f4(f6(x1721,x1722,f25(x1723,a1)),x1722,f25(x1723,a1)),f4(x1721,x1722,f25(x1723,a1)))
% 2.77/2.81 [173]E(f6(f6(x1731,x1732,f25(x1733,a1)),x1732,f25(x1733,a1)),f6(x1731,x1732,f25(x1733,a1)))
% 2.77/2.81 [179]E(f4(f10(x1791,f25(x1792,a1)),x1793,f25(x1792,a1)),f10(f6(x1791,x1793,f25(x1792,a1)),f25(x1792,a1)))
% 2.77/2.81 [180]E(f4(f13(x1801,f3(f25(x1802,a1)),x1802),x1803,f25(x1802,a1)),f13(x1801,x1803,x1802))
% 2.77/2.81 [181]E(f4(f6(x1811,x1812,f25(x1813,a1)),f5(x1811,x1812,f25(x1813,a1)),f25(x1813,a1)),x1811)
% 2.77/2.81 [184]E(f5(f10(x1841,f25(x1842,a1)),f10(x1843,f25(x1842,a1)),f25(x1842,a1)),f10(f4(x1841,x1843,f25(x1842,a1)),f25(x1842,a1)))
% 2.77/2.81 [185]E(f4(f10(x1851,f25(x1852,a1)),f10(x1853,f25(x1852,a1)),f25(x1852,a1)),f10(f5(x1851,x1853,f25(x1852,a1)),f25(x1852,a1)))
% 2.77/2.81 [223]~E(f13(x2231,x2232,x2233),f3(f25(x2233,a1)))
% 2.77/2.81 [224]~E(f3(f25(x2241,a1)),f13(x2242,x2243,x2241))
% 2.77/2.81 [176]E(f21(x1761,f11(f25(x1762,a1)),x1763,x1762),f11(f25(x1763,a1)))
% 2.77/2.81 [177]E(f21(x1771,f3(f25(x1772,a1)),x1773,x1772),f3(f25(x1773,a1)))
% 2.77/2.81 [178]E(f14(x1781,f3(f25(x1782,a1)),x1782,x1783),f3(f25(x1783,a1)))
% 2.77/2.81 [205]E(f13(x2051,f6(x2052,f13(x2051,f3(f25(x2053,a1)),x2053),f25(x2053,a1)),x2053),f13(x2051,x2052,x2053))
% 2.77/2.81 [174]E(f13(x1741,f13(x1742,x1743,x1744),x1744),f13(x1742,f13(x1741,x1743,x1744),x1744))
% 2.77/2.81 [186]E(f4(x1861,f4(x1862,x1863,f25(x1864,a1)),f25(x1864,a1)),f4(x1862,f4(x1861,x1863,f25(x1864,a1)),f25(x1864,a1)))
% 2.77/2.81 [187]E(f5(x1871,f5(x1872,x1873,f25(x1874,a1)),f25(x1874,a1)),f5(x1872,f5(x1871,x1873,f25(x1874,a1)),f25(x1874,a1)))
% 2.77/2.81 [188]E(f4(f4(x1881,x1882,f25(x1883,a1)),x1884,f25(x1883,a1)),f4(x1881,f4(x1882,x1884,f25(x1883,a1)),f25(x1883,a1)))
% 2.77/2.81 [189]E(f5(f5(x1891,x1892,f25(x1893,a1)),x1894,f25(x1893,a1)),f5(x1891,f5(x1892,x1894,f25(x1893,a1)),f25(x1893,a1)))
% 2.77/2.81 [190]E(f6(f5(x1901,x1902,f25(x1903,a1)),x1904,f25(x1903,a1)),f5(x1901,f6(x1902,x1904,f25(x1903,a1)),f25(x1903,a1)))
% 2.77/2.81 [193]E(f5(f4(x1931,x1932,f25(x1933,a1)),f4(x1931,x1934,f25(x1933,a1)),f25(x1933,a1)),f4(x1931,f5(x1932,x1934,f25(x1933,a1)),f25(x1933,a1)))
% 2.77/2.81 [194]E(f4(f5(x1941,x1942,f25(x1943,a1)),f5(x1941,x1944,f25(x1943,a1)),f25(x1943,a1)),f5(x1941,f4(x1942,x1944,f25(x1943,a1)),f25(x1943,a1)))
% 2.77/2.81 [195]E(f6(f5(x1951,x1952,f25(x1953,a1)),f5(x1951,x1954,f25(x1953,a1)),f25(x1953,a1)),f5(x1951,f6(x1952,x1954,f25(x1953,a1)),f25(x1953,a1)))
% 2.77/2.81 [196]E(f5(f6(x1961,x1962,f25(x1963,a1)),f6(x1961,x1964,f25(x1963,a1)),f25(x1963,a1)),f6(x1961,f4(x1962,x1964,f25(x1963,a1)),f25(x1963,a1)))
% 2.77/2.81 [197]E(f4(f6(x1971,x1972,f25(x1973,a1)),f6(x1971,x1974,f25(x1973,a1)),f25(x1973,a1)),f6(x1971,f5(x1972,x1974,f25(x1973,a1)),f25(x1973,a1)))
% 2.77/2.81 [198]E(f5(f4(x1981,x1982,f25(x1983,a1)),f4(x1984,x1982,f25(x1983,a1)),f25(x1983,a1)),f4(f5(x1981,x1984,f25(x1983,a1)),x1982,f25(x1983,a1)))
% 2.77/2.81 [199]E(f4(f5(x1991,x1992,f25(x1993,a1)),f5(x1994,x1992,f25(x1993,a1)),f25(x1993,a1)),f5(f4(x1991,x1994,f25(x1993,a1)),x1992,f25(x1993,a1)))
% 2.77/2.81 [200]E(f6(f5(x2001,x2002,f25(x2003,a1)),f5(x2004,x2002,f25(x2003,a1)),f25(x2003,a1)),f5(f6(x2001,x2004,f25(x2003,a1)),x2002,f25(x2003,a1)))
% 2.77/2.81 [201]E(f4(f6(x2011,x2012,f25(x2013,a1)),f6(x2014,x2012,f25(x2013,a1)),f25(x2013,a1)),f6(f4(x2011,x2014,f25(x2013,a1)),x2012,f25(x2013,a1)))
% 2.77/2.81 [202]E(f6(f5(x2021,x2022,f25(x2023,a1)),f5(x2024,x2022,f25(x2023,a1)),f25(x2023,a1)),f6(f5(x2021,x2022,f25(x2023,a1)),x2024,f25(x2023,a1)))
% 2.77/2.81 [203]E(f6(f6(x2031,x2032,f25(x2033,a1)),f13(x2034,f3(f25(x2033,a1)),x2033),f25(x2033,a1)),f6(x2031,f13(x2034,x2032,x2033),f25(x2033,a1)))
% 2.77/2.81 [206]E(f6(f6(x2061,f13(x2062,f3(f25(x2063,a1)),x2063),f25(x2063,a1)),x2064,f25(x2063,a1)),f6(x2061,f13(x2062,x2064,x2063),f25(x2063,a1)))
% 2.77/2.81 [210]E(f14(x2101,f21(x2101,x2102,x2103,x2104),x2103,x2104),f5(x2102,f14(x2101,f11(f25(x2103,a1)),x2103,x2104),f25(x2104,a1)))
% 2.77/2.81 [215]P13(f14(x2151,f21(x2151,x2152,x2153,x2154),x2153,x2154),x2152,f25(x2154,a1))
% 2.77/2.81 [217]E(f5(f5(f4(x2171,x2172,f25(x2173,a1)),f4(x2172,x2174,f25(x2173,a1)),f25(x2173,a1)),f4(x2174,x2171,f25(x2173,a1)),f25(x2173,a1)),f4(f4(f5(x2171,x2172,f25(x2173,a1)),f5(x2172,x2174,f25(x2173,a1)),f25(x2173,a1)),f5(x2174,x2171,f25(x2173,a1)),f25(x2173,a1)))
% 2.77/2.81 [182]E(f13(x1821,f4(x1822,x1823,f25(x1824,a1)),x1824),f4(x1822,f13(x1821,x1823,x1824),f25(x1824,a1)))
% 2.77/2.81 [183]E(f13(x1831,f4(x1832,x1833,f25(x1834,a1)),x1834),f4(f13(x1831,x1832,x1834),x1833,f25(x1834,a1)))
% 2.77/2.81 [191]E(f5(f13(x1911,x1912,x1913),f13(x1911,x1914,x1913),f25(x1913,a1)),f13(x1911,f5(x1912,x1914,f25(x1913,a1)),x1913))
% 2.77/2.81 [204]P14(f12(x2041,x2042),f14(x2041,f11(f25(x2043,a1)),x2043,x2044),x2044)
% 2.77/2.81 [207]E(f21(x2071,f10(x2072,f25(x2073,a1)),x2074,x2073),f10(f21(x2071,x2072,x2074,x2073),f25(x2074,a1)))
% 2.77/2.81 [209]P14(x2091,f21(x2092,f13(f12(x2092,x2091),f3(f25(x2093,a1)),x2093),x2094,x2093),x2094)
% 2.77/2.81 [208]E(f14(x2081,f13(x2082,x2083,x2084),x2084,x2085),f13(f12(x2081,x2082),f14(x2081,x2083,x2084,x2085),x2085))
% 2.77/2.81 [216]E(f4(f21(x2161,f13(x2162,f3(f25(x2163,a1)),x2163),x2164,x2163),f21(x2161,x2165,x2164,x2163),f25(x2164,a1)),f21(x2161,f13(x2162,x2165,x2163),x2164,x2163))
% 2.77/2.81 [211]E(f4(f21(x2111,x2112,x2113,x2114),f21(x2111,x2115,x2113,x2114),f25(x2113,a1)),f21(x2111,f4(x2112,x2115,f25(x2114,a1)),x2113,x2114))
% 2.77/2.81 [212]E(f5(f21(x2121,x2122,x2123,x2124),f21(x2121,x2125,x2123,x2124),f25(x2123,a1)),f21(x2121,f5(x2122,x2125,f25(x2124,a1)),x2123,x2124))
% 2.77/2.81 [213]E(f6(f21(x2131,x2132,x2133,x2134),f21(x2131,x2135,x2133,x2134),f25(x2133,a1)),f21(x2131,f6(x2132,x2135,f25(x2134,a1)),x2133,x2134))
% 2.77/2.81 [214]E(f4(f14(x2141,x2142,x2143,x2144),f14(x2141,x2145,x2143,x2144),f25(x2144,a1)),f14(x2141,f4(x2142,x2145,f25(x2143,a1)),x2143,x2144))
% 2.77/2.81 [218]P13(f14(x2181,f5(x2182,x2183,f25(x2184,a1)),x2184,x2185),f5(f14(x2181,x2182,x2184,x2185),f14(x2181,x2183,x2184,x2185),f25(x2185,a1)),f25(x2185,a1))
% 2.77/2.81 [219]P13(f6(f14(x2191,x2192,x2193,x2194),f14(x2191,x2195,x2193,x2194),f25(x2194,a1)),f14(x2191,f6(x2192,x2195,f25(x2193,a1)),x2193,x2194),f25(x2194,a1))
% 2.77/2.81 [231]~P4(x2311)+E(f10(f11(x2311),x2311),f3(x2311))
% 2.77/2.81 [232]~P4(x2321)+E(f10(f3(x2321),x2321),f11(x2321))
% 2.77/2.81 [356]P7(x3561,a26,a2)+~P13(a23,x3561,f25(f22(a2),a1))
% 2.77/2.81 [230]~P6(x2302)+P8(x2301,x2302)
% 2.77/2.81 [256]~P1(x2562)+P13(x2561,x2561,x2562)
% 2.77/2.81 [257]~P18(x2572)+P13(x2571,x2571,x2572)
% 2.77/2.81 [280]~P10(x2802,x2802,x2801)+~P1(x2801)
% 2.77/2.81 [281]~P10(x2812,x2812,x2811)+~P24(x2811)
% 2.77/2.82 [282]~P10(x2822,x2822,x2821)+~P18(x2821)
% 2.77/2.82 [233]~P1(x2332)+P1(f25(x2331,x2332))
% 2.77/2.82 [234]~P16(x2342)+P2(f25(x2341,x2342))
% 2.77/2.82 [235]~P3(x2352)+P3(f25(x2351,x2352))
% 2.77/2.82 [236]~P18(x2362)+P18(f25(x2361,x2362))
% 2.77/2.82 [237]~P4(x2372)+P4(f25(x2371,x2372))
% 2.77/2.82 [238]~P16(x2382)+P16(f25(x2381,x2382))
% 2.77/2.82 [239]~P16(x2392)+P17(f25(x2391,x2392))
% 2.77/2.82 [240]~P15(x2402)+P15(f25(x2401,x2402))
% 2.77/2.82 [241]~P5(x2412)+P5(f25(x2411,x2412))
% 2.77/2.82 [242]~P25(x2422)+P25(f25(x2421,x2422))
% 2.77/2.82 [243]~P19(x2432)+P19(f25(x2431,x2432))
% 2.77/2.82 [258]~P2(x2582)+E(f4(x2581,x2581,x2582),x2581)
% 2.77/2.82 [259]~P17(x2592)+E(f5(x2591,x2591,x2592),x2591)
% 2.77/2.82 [260]~P25(x2602)+P13(x2601,f11(x2602),x2602)
% 2.77/2.82 [261]~P19(x2611)+P13(f3(x2611),x2612,x2611)
% 2.77/2.82 [247]~P4(x2472)+E(f10(f10(x2471,x2472),x2472),x2471)
% 2.77/2.82 [249]~P20(x2492)+E(f10(f10(x2491,x2492),x2492),x2491)
% 2.77/2.82 [262]~P15(x2622)+E(f4(x2621,f3(x2622),x2622),x2621)
% 2.77/2.82 [263]~P15(x2632)+E(f5(x2631,f11(x2632),x2632),x2631)
% 2.77/2.82 [264]~P15(x2641)+E(f4(f3(x2641),x2642,x2641),x2642)
% 2.77/2.82 [265]~P15(x2651)+E(f5(f11(x2651),x2652,x2651),x2652)
% 2.77/2.82 [266]~P15(x2662)+E(f4(x2661,f11(x2662),x2662),f11(x2662))
% 2.77/2.82 [267]~P15(x2672)+E(f5(x2671,f3(x2672),x2672),f3(x2672))
% 2.77/2.82 [268]~P15(x2681)+E(f4(f11(x2681),x2682,x2681),f11(x2681))
% 2.77/2.82 [269]~P15(x2691)+E(f5(f3(x2691),x2692,x2691),f3(x2691))
% 2.77/2.82 [271]~P24(x2712)+E(f10(f15(x2711,x2712),f25(x2712,a1)),f16(x2711,x2712))
% 2.77/2.82 [272]~P24(x2722)+E(f10(f16(x2721,x2722),f25(x2722,a1)),f15(x2721,x2722))
% 2.77/2.82 [273]~P24(x2732)+E(f10(f17(x2731,x2732),f25(x2732,a1)),f18(x2731,x2732))
% 2.77/2.82 [274]~P24(x2742)+E(f10(f18(x2741,x2742),f25(x2742,a1)),f17(x2741,x2742))
% 2.77/2.82 [276]~P4(x2762)+E(f4(x2761,f10(x2761,x2762),x2762),f11(x2762))
% 2.77/2.82 [277]~P4(x2772)+E(f5(x2771,f10(x2771,x2772),x2772),f3(x2772))
% 2.77/2.82 [278]~P4(x2782)+E(f4(f10(x2781,x2782),x2781,x2782),f11(x2782))
% 2.77/2.82 [279]~P4(x2792)+E(f5(f10(x2791,x2792),x2791,x2792),f3(x2792))
% 2.77/2.82 [419]~P13(x4191,f3(f25(x4192,a1)),f25(x4192,a1))+E(x4191,f3(f25(x4192,a1)))
% 2.77/2.82 [452]~P13(x4521,f10(x4521,f25(x4522,a1)),f25(x4522,a1))+E(x4521,f3(f25(x4522,a1)))
% 2.77/2.82 [511]~P24(x5112)+E(f4(f16(x5111,x5112),f13(x5111,f3(f25(x5112,a1)),x5112),f25(x5112,a1)),f18(x5111,x5112))
% 2.77/2.82 [512]~P24(x5122)+E(f4(f13(x5121,f3(f25(x5122,a1)),x5122),f17(x5121,x5122),f25(x5122,a1)),f15(x5121,x5122))
% 2.77/2.82 [329]~P18(x3292)+E(f20(x3291,x3291,x3292),f13(x3291,f3(f25(x3292,a1)),x3292))
% 2.77/2.82 [434]~P18(x4342)+E(f5(f18(x4341,x4342),f15(x4341,x4342),f25(x4342,a1)),f13(x4341,f3(f25(x4342,a1)),x4342))
% 2.77/2.82 [550]~P18(x5502)+E(f6(f13(x5501,f3(f25(x5502,a1)),x5502),f16(x5501,x5502),f25(x5502,a1)),f13(x5501,f3(f25(x5502,a1)),x5502))
% 2.77/2.82 [275]E(x2751,x2752)+~P11(x2751,x2752,x2753)
% 2.77/2.82 [283]P14(x2831,x2832,x2833)+~P26(f12(x2832,x2831))
% 2.77/2.82 [288]~P2(x2883)+E(f4(x2881,x2882,x2883),f4(x2882,x2881,x2883))
% 2.77/2.82 [289]~P16(x2893)+E(f4(x2891,x2892,x2893),f4(x2892,x2891,x2893))
% 2.77/2.82 [290]~P16(x2903)+E(f5(x2901,x2902,x2903),f5(x2902,x2901,x2903))
% 2.77/2.82 [291]~P17(x2913)+E(f5(x2911,x2912,x2913),f5(x2912,x2911,x2913))
% 2.77/2.82 [292]~P14(x2922,x2921,x2923)+P26(f12(x2921,x2922))
% 2.77/2.82 [304]~P14(x3041,x3042,x3043)+E(f13(x3041,x3042,x3043),x3042)
% 2.77/2.82 [310]~P8(x3102,x3103)+P8(f13(x3101,x3102,x3103),x3103)
% 2.77/2.82 [330]~P2(x3303)+P13(x3301,f4(x3302,x3301,x3303),x3303)
% 2.77/2.82 [331]~P16(x3313)+P13(x3311,f4(x3312,x3311,x3313),x3313)
% 2.77/2.82 [332]~P2(x3323)+P13(x3321,f4(x3321,x3322,x3323),x3323)
% 2.77/2.82 [333]~P16(x3333)+P13(x3331,f4(x3331,x3332,x3333),x3333)
% 2.77/2.82 [334]~P16(x3343)+P13(f5(x3341,x3342,x3343),x3342,x3343)
% 2.77/2.82 [335]~P17(x3353)+P13(f5(x3351,x3352,x3353),x3352,x3353)
% 2.77/2.82 [336]~P16(x3363)+P13(f5(x3361,x3362,x3363),x3361,x3363)
% 2.77/2.82 [337]~P17(x3373)+P13(f5(x3371,x3372,x3373),x3371,x3373)
% 2.77/2.82 [374]~P10(x3741,x3742,f25(x3743,a1))+P13(x3741,x3742,f25(x3743,a1))
% 2.77/2.82 [387]P8(x3871,x3872)+~P8(f13(x3873,x3871,x3872),x3872)
% 2.77/2.82 [298]E(x2981,x2982)+~E(f10(x2981,f25(x2983,a1)),f10(x2982,f25(x2983,a1)))
% 2.77/2.82 [305]~P4(x3053)+E(f5(x3051,f10(x3052,x3053),x3053),f6(x3051,x3052,x3053))
% 2.77/2.82 [338]~P16(x3383)+E(f4(x3381,f5(x3381,x3382,x3383),x3383),x3381)
% 2.77/2.82 [339]~P16(x3393)+E(f5(x3391,f4(x3391,x3392,x3393),x3393),x3391)
% 2.77/2.82 [357]P14(x3571,x3572,x3573)+P14(x3571,f10(x3572,f25(x3573,a1)),x3573)
% 2.77/2.82 [361]~P21(x3613)+E(f10(f6(x3611,x3612,x3613),x3613),f6(x3612,x3611,x3613))
% 2.77/2.82 [367]~P8(x3672,x3673)+P8(f5(x3671,x3672,f25(x3673,a1)),x3673)
% 2.77/2.82 [368]~P8(x3681,x3683)+P8(f5(x3681,x3682,f25(x3683,a1)),x3683)
% 2.77/2.82 [369]~P8(x3691,x3693)+P8(f6(x3691,x3692,f25(x3693,a1)),x3693)
% 2.77/2.82 [370]E(x3701,f3(f25(x3702,a1)))+~E(f4(x3703,x3701,f25(x3702,a1)),f3(f25(x3702,a1)))
% 2.77/2.82 [371]E(x3711,f3(f25(x3712,a1)))+~E(f4(x3711,x3713,f25(x3712,a1)),f3(f25(x3712,a1)))
% 2.77/2.82 [372]P7(x3721,x3722,x3723)+~P13(x3722,x3721,f25(f22(x3723),a1))
% 2.77/2.82 [379]~P13(x3791,x3792,f25(x3793,a1))+E(f4(x3791,x3792,f25(x3793,a1)),x3792)
% 2.77/2.82 [380]~P13(x3802,x3801,f25(x3803,a1))+E(f4(x3801,x3802,f25(x3803,a1)),x3801)
% 2.77/2.82 [381]~P13(x3812,x3811,f25(x3813,a1))+E(f5(x3811,x3812,f25(x3813,a1)),x3812)
% 2.77/2.82 [382]~P13(x3821,x3822,f25(x3823,a1))+E(f5(x3821,x3822,f25(x3823,a1)),x3821)
% 2.77/2.82 [383]P13(x3831,x3832,f25(x3833,a1))+~E(f4(x3831,x3832,f25(x3833,a1)),x3832)
% 2.77/2.82 [407]~P2(x4073)+E(f4(x4071,f4(x4071,x4072,x4073),x4073),f4(x4071,x4072,x4073))
% 2.77/2.82 [408]~P16(x4083)+E(f4(x4081,f4(x4081,x4082,x4083),x4083),f4(x4081,x4082,x4083))
% 2.77/2.82 [409]~P16(x4093)+E(f5(x4091,f5(x4091,x4092,x4093),x4093),f5(x4091,x4092,x4093))
% 2.77/2.82 [410]~P17(x4103)+E(f5(x4101,f5(x4101,x4102,x4103),x4103),f5(x4101,x4102,x4103))
% 2.77/2.82 [420]~P4(x4202)+E(f5(f10(x4201,x4202),f10(x4203,x4202),x4202),f10(f4(x4201,x4203,x4202),x4202))
% 2.77/2.82 [421]~P23(x4212)+E(f5(f10(x4211,x4212),f10(x4213,x4212),x4212),f10(f4(x4211,x4213,x4212),x4212))
% 2.77/2.82 [422]~P4(x4222)+E(f4(f10(x4221,x4222),f10(x4223,x4222),x4222),f10(f5(x4221,x4223,x4222),x4222))
% 2.77/2.82 [423]~P23(x4232)+E(f4(f10(x4231,x4232),f10(x4233,x4232),x4232),f10(f5(x4231,x4233,x4232),x4232))
% 2.77/2.82 [433]E(f6(x4331,x4332,f25(x4333,a1)),x4331)+~E(f5(x4331,x4332,f25(x4333,a1)),f3(f25(x4333,a1)))
% 2.77/2.82 [435]~P18(x4352)+E(f5(f16(x4351,x4352),f19(x4351,x4353,x4352),f25(x4352,a1)),f3(f25(x4352,a1)))
% 2.77/2.82 [436]~P18(x4362)+E(f5(f16(x4361,x4362),f20(x4361,x4363,x4362),f25(x4362,a1)),f3(f25(x4362,a1)))
% 2.77/2.82 [437]~P18(x4373)+E(f5(f19(x4371,x4372,x4373),f15(x4372,x4373),f25(x4373,a1)),f3(f25(x4373,a1)))
% 2.77/2.82 [438]~P18(x4383)+E(f5(f20(x4381,x4382,x4383),f17(x4382,x4383),f25(x4383,a1)),f3(f25(x4383,a1)))
% 2.77/2.82 [462]P8(x4621,x4622)+~P8(f4(x4623,x4621,f25(x4622,a1)),x4622)
% 2.77/2.82 [463]P8(x4631,x4632)+~P8(f4(x4631,x4633,f25(x4632,a1)),x4632)
% 2.77/2.82 [466]~P14(x4661,x4662,x4663)+~P14(x4661,f10(x4662,f25(x4663,a1)),x4663)
% 2.77/2.82 [477]P13(x4771,f10(x4772,f25(x4773,a1)),f25(x4773,a1))+~E(f5(x4771,x4772,f25(x4773,a1)),f3(f25(x4773,a1)))
% 2.77/2.82 [496]P13(x4961,x4962,f25(x4963,a1))+P26(f12(x4961,f7(x4961,x4962,x4963)))
% 2.77/2.82 [515]~P13(x5151,f10(x5152,f25(x5153,a1)),f25(x5153,a1))+E(f5(x5151,x5152,f25(x5153,a1)),f3(f25(x5153,a1)))
% 2.77/2.82 [523]~P13(x5233,x5231,f25(x5232,a1))+P13(f10(x5231,f25(x5232,a1)),f10(x5233,f25(x5232,a1)),f25(x5232,a1))
% 2.77/2.82 [528]~P13(x5281,x5282,f25(x5283,a1))+E(f4(x5281,f6(x5282,x5281,f25(x5283,a1)),f25(x5283,a1)),x5282)
% 2.77/2.82 [549]P13(x5491,x5492,f25(x5493,a1))+~P13(f10(x5492,f25(x5493,a1)),f10(x5491,f25(x5493,a1)),f25(x5493,a1))
% 2.77/2.82 [564]P14(x5641,x5642,x5643)+E(f6(f13(x5641,x5642,x5643),f13(x5641,f3(f25(x5643,a1)),x5643),f25(x5643,a1)),x5642)
% 2.77/2.82 [568]P13(x5681,x5682,f25(x5683,a1))+~P26(f12(x5682,f7(x5681,x5682,x5683)))
% 2.77/2.82 [467]~P23(x4672)+E(f10(f5(f10(x4671,x4672),f10(x4673,x4672),x4672),x4672),f4(x4671,x4673,x4672))
% 2.77/2.82 [468]~P23(x4682)+E(f10(f4(f10(x4681,x4682),f10(x4683,x4682),x4682),x4682),f5(x4681,x4683,x4682))
% 2.77/2.82 [513]E(x5131,x5132)+~E(f13(x5131,f3(f25(x5133,a1)),x5133),f13(x5132,f3(f25(x5133,a1)),x5133))
% 2.77/2.82 [546]E(x5461,x5462)+~P14(x5461,f13(x5462,f3(f25(x5463,a1)),x5463),x5463)
% 2.77/2.82 [618]~P14(x6181,x6182,x6183)+E(f13(x6181,f6(x6182,f13(x6181,f3(f25(x6183,a1)),x6183),f25(x6183,a1)),x6183),x6182)
% 2.77/2.82 [442]~P14(x4421,x4423,x4424)+P14(x4421,f13(x4422,x4423,x4424),x4424)
% 2.77/2.82 [475]~P13(x4751,x4753,f25(x4754,a1))+P13(x4751,f13(x4752,x4753,x4754),f25(x4754,a1))
% 2.77/2.82 [524]P14(x5241,x5242,x5243)+~P13(f13(x5241,x5244,x5243),x5242,f25(x5243,a1))
% 2.77/2.82 [532]~P13(f13(x5324,x5321,x5323),x5322,f25(x5323,a1))+P13(x5321,x5322,f25(x5323,a1))
% 2.77/2.82 [543]~P13(x5432,x5434,f25(x5433,a1))+P13(f13(x5431,x5432,x5433),f13(x5431,x5434,x5433),f25(x5433,a1))
% 2.77/2.82 [583]~P8(x5832,x5833)+P8(f14(x5831,x5832,x5833,x5834),x5834)
% 2.77/2.82 [469]~P26(f12(x4692,x4694))+P26(f12(f13(x4691,x4692,x4693),x4694))
% 2.77/2.82 [470]~P14(x4701,x4703,x4704)+P14(x4701,f4(x4702,x4703,f25(x4704,a1)),x4704)
% 2.77/2.82 [471]~P14(x4711,x4712,x4714)+P14(x4711,f4(x4712,x4713,f25(x4714,a1)),x4714)
% 2.77/2.82 [486]P14(x4862,x4861,x4864)+E(f5(x4861,f13(x4862,x4863,x4864),f25(x4864,a1)),f5(x4861,x4863,f25(x4864,a1)))
% 2.77/2.82 [487]P14(x4871,x4874,x4873)+E(f5(f13(x4871,x4872,x4873),x4874,f25(x4873,a1)),f5(x4872,x4874,f25(x4873,a1)))
% 2.77/2.82 [501]~P18(x5013)+E(f5(f19(x5011,x5012,x5013),f19(x5012,x5014,x5013),f25(x5013,a1)),f3(f25(x5013,a1)))
% 2.77/2.82 [502]~P18(x5023)+E(f5(f19(x5021,x5022,x5023),f20(x5022,x5024,x5023),f25(x5023,a1)),f3(f25(x5023,a1)))
% 2.77/2.82 [503]~P2(x5034)+E(f4(x5031,f4(x5032,x5033,x5034),x5034),f4(x5032,f4(x5031,x5033,x5034),x5034))
% 2.77/2.82 [504]~P16(x5044)+E(f4(x5041,f4(x5042,x5043,x5044),x5044),f4(x5042,f4(x5041,x5043,x5044),x5044))
% 2.77/2.82 [505]~P16(x5054)+E(f5(x5051,f5(x5052,x5053,x5054),x5054),f5(x5052,f5(x5051,x5053,x5054),x5054))
% 2.77/2.82 [506]~P17(x5064)+E(f5(x5061,f5(x5062,x5063,x5064),x5064),f5(x5062,f5(x5061,x5063,x5064),x5064))
% 2.77/2.82 [507]~P2(x5073)+E(f4(f4(x5071,x5072,x5073),x5074,x5073),f4(x5071,f4(x5072,x5074,x5073),x5073))
% 2.77/2.82 [508]~P16(x5083)+E(f4(f4(x5081,x5082,x5083),x5084,x5083),f4(x5081,f4(x5082,x5084,x5083),x5083))
% 2.77/2.82 [509]~P16(x5093)+E(f5(f5(x5091,x5092,x5093),x5094,x5093),f5(x5091,f5(x5092,x5094,x5093),x5093))
% 2.77/2.82 [510]~P17(x5103)+E(f5(f5(x5101,x5102,x5103),x5104,x5103),f5(x5101,f5(x5102,x5104,x5103),x5103))
% 2.77/2.82 [525]~P14(x5251,x5254,x5253)+E(f6(f13(x5251,x5252,x5253),x5254,f25(x5253,a1)),f6(x5252,x5254,f25(x5253,a1)))
% 2.77/2.82 [535]P14(x5351,x5352,x5353)+~P14(x5351,f5(x5354,x5352,f25(x5353,a1)),x5353)
% 2.77/2.82 [536]P14(x5361,x5362,x5363)+~P14(x5361,f5(x5362,x5364,f25(x5363,a1)),x5363)
% 2.77/2.82 [537]P14(x5371,x5372,x5373)+~P14(x5371,f6(x5372,x5374,f25(x5373,a1)),x5373)
% 2.77/2.82 [542]~P14(x5421,x5422,x5423)+~P14(x5421,f6(x5424,x5422,f25(x5423,a1)),x5423)
% 2.77/2.82 [553]~P3(x5533)+E(f5(f4(x5531,x5532,x5533),f4(x5531,x5534,x5533),x5533),f4(x5531,f5(x5532,x5534,x5533),x5533))
% 2.77/2.82 [554]~P3(x5543)+E(f4(f5(x5541,x5542,x5543),f5(x5541,x5544,x5543),x5543),f5(x5541,f4(x5542,x5544,x5543),x5543))
% 2.77/2.82 [555]~P3(x5553)+E(f5(f4(x5551,x5552,x5553),f4(x5554,x5552,x5553),x5553),f4(f5(x5551,x5554,x5553),x5552,x5553))
% 2.77/2.82 [556]~P3(x5563)+E(f4(f5(x5561,x5562,x5563),f5(x5564,x5562,x5563),x5563),f5(f4(x5561,x5564,x5563),x5562,x5563))
% 2.77/2.82 [558]P13(x5581,x5582,f25(x5583,a1))+~P13(x5581,f5(x5584,x5582,f25(x5583,a1)),f25(x5583,a1))
% 2.77/2.82 [559]P13(x5591,x5592,f25(x5593,a1))+~P13(x5591,f5(x5592,x5594,f25(x5593,a1)),f25(x5593,a1))
% 2.77/2.82 [560]P13(x5601,x5602,f25(x5603,a1))+~P13(f4(x5604,x5601,f25(x5603,a1)),x5602,f25(x5603,a1))
% 2.77/2.82 [561]P13(x5611,x5612,f25(x5613,a1))+~P13(f4(x5611,x5614,f25(x5613,a1)),x5612,f25(x5613,a1))
% 2.77/2.82 [567]~E(f14(x5673,x5671,x5672,x5674),f3(f25(x5674,a1)))+E(x5671,f3(f25(x5672,a1)))
% 2.77/2.82 [589]~P13(x5893,x5891,f25(x5894,a1))+E(f5(x5891,f4(x5892,x5893,f25(x5894,a1)),f25(x5894,a1)),f4(f5(x5891,x5892,f25(x5894,a1)),x5893,f25(x5894,a1)))
% 2.77/2.82 [592]~P13(f6(x5921,x5922,f25(x5924,a1)),x5923,f25(x5924,a1))+P13(x5921,f4(x5922,x5923,f25(x5924,a1)),f25(x5924,a1))
% 2.77/2.82 [593]~P13(x5931,f4(x5932,x5934,f25(x5933,a1)),f25(x5933,a1))+P13(f6(x5931,x5932,f25(x5933,a1)),x5934,f25(x5933,a1))
% 2.77/2.82 [607]~P8(f6(x6071,x6073,f25(x6074,a1)),x6074)+P8(f6(x6071,f13(x6072,x6073,x6074),f25(x6074,a1)),x6074)
% 2.77/2.82 [620]~P8(f6(x6201,f13(x6204,x6202,x6203),f25(x6203,a1)),x6203)+P8(f6(x6201,x6202,f25(x6203,a1)),x6203)
% 2.77/2.82 [622]P13(x6221,x6222,f25(x6223,a1))+~E(f5(x6222,f4(x6224,x6221,f25(x6223,a1)),f25(x6223,a1)),f4(f5(x6222,x6224,f25(x6223,a1)),x6221,f25(x6223,a1)))
% 2.77/2.82 [631]~P16(x6314)+P13(f4(x6311,f5(x6312,x6313,x6314),x6314),f5(f4(x6311,x6312,x6314),f4(x6311,x6313,x6314),x6314),x6314)
% 2.77/2.82 [632]~P16(x6323)+P13(f4(f5(x6321,x6322,x6323),f5(x6321,x6324,x6323),x6323),f5(x6321,f4(x6322,x6324,x6323),x6323),x6323)
% 2.77/2.82 [647]~P9(x6471,f11(f25(x6473,a1)),x6473,x6474)+E(f21(x6471,f14(x6471,x6472,x6473,x6474),x6473,x6474),x6472)
% 2.77/2.82 [538]~P26(f12(x5382,x5384))+P26(f12(f4(x5381,x5382,f25(x5383,a1)),x5384))
% 2.77/2.82 [539]~P26(f12(x5391,x5394))+P26(f12(f4(x5391,x5392,f25(x5393,a1)),x5394))
% 2.77/2.82 [563]P14(x5631,x5634,x5633)+E(f6(f13(x5631,x5632,x5633),x5634,f25(x5633,a1)),f13(x5631,f6(x5632,x5634,f25(x5633,a1)),x5633))
% 2.77/2.82 [575]~P14(x5751,x5752,x5754)+E(f13(x5751,f5(x5752,x5753,f25(x5754,a1)),x5754),f5(x5752,f13(x5751,x5753,x5754),f25(x5754,a1)))
% 2.77/2.82 [576]~P14(x5761,x5763,x5764)+E(f13(x5761,f5(x5762,x5763,f25(x5764,a1)),x5764),f5(f13(x5761,x5762,x5764),x5763,f25(x5764,a1)))
% 2.77/2.82 [585]P26(f12(x5851,x5852))+~P26(f12(f5(x5853,x5851,f25(x5854,a1)),x5852))
% 2.77/2.82 [586]P26(f12(x5861,x5862))+~P26(f12(f5(x5861,x5863,f25(x5864,a1)),x5862))
% 2.77/2.82 [668]~P9(x6681,f11(f25(x6683,a1)),x6683,x6684)+P13(f14(x6681,f10(x6682,f25(x6683,a1)),x6683,x6684),f10(f14(x6681,x6682,x6683,x6684),f25(x6684,a1)),f25(x6684,a1))
% 2.77/2.82 [613]~P14(x6132,x6133,x6134)+P14(f12(x6131,x6132),f14(x6131,x6133,x6134,x6135),x6135)
% 2.77/2.82 [617]~P14(f12(x6172,x6171),x6173,x6175)+P14(x6171,f21(x6172,x6173,x6174,x6175),x6174)
% 2.77/2.82 [623]P9(x6231,x6232,x6233,x6234)+~P9(x6231,f13(x6235,x6232,x6233),x6233,x6234)
% 2.77/2.82 [635]~P14(x6352,f21(x6351,x6353,x6355,x6354),x6355)+P14(f12(x6351,x6352),x6353,x6354)
% 2.77/2.82 [643]~P13(x6432,x6435,f25(x6434,a1))+P13(f21(x6431,x6432,x6433,x6434),f21(x6431,x6435,x6433,x6434),f25(x6433,a1))
% 2.77/2.82 [645]~P13(x6452,x6455,f25(x6453,a1))+P13(f14(x6451,x6452,x6453,x6454),f14(x6451,x6455,x6453,x6454),f25(x6454,a1))
% 2.77/2.82 [621]~P9(x6211,x6212,x6214,x6215)+P9(x6211,f6(x6212,x6213,f25(x6214,a1)),x6214,x6215)
% 2.77/2.82 [628]P9(x6281,x6282,x6283,x6284)+~P9(x6281,f4(x6285,x6282,f25(x6283,a1)),x6283,x6284)
% 2.77/2.82 [629]P9(x6291,x6292,x6293,x6294)+~P9(x6291,f4(x6292,x6295,f25(x6293,a1)),x6293,x6294)
% 2.77/2.82 [630]~P14(x6302,x6303,x6304)+E(f13(f12(x6301,x6302),f14(x6301,x6303,x6304,x6305),x6305),f14(x6301,x6303,x6304,x6305))
% 2.77/2.82 [641]~P26(f12(x6412,f12(x6411,x6415)))+P26(f12(f21(x6411,x6412,x6413,x6414),x6415))
% 2.77/2.82 [661]P26(f12(x6611,f12(x6612,x6613)))+~P26(f12(f21(x6612,x6611,x6614,x6615),x6613))
% 2.77/2.82 [669]~P9(x6691,f4(x6692,x6693,f25(x6694,a1)),x6694,x6695)+E(f5(f14(x6691,f6(x6692,x6693,f25(x6694,a1)),x6694,x6695),f14(x6691,f6(x6693,x6692,f25(x6694,a1)),x6694,x6695),f25(x6695,a1)),f3(f25(x6695,a1)))
% 2.77/2.82 [662]~P9(x6621,f11(f25(x6623,a1)),x6623,x6624)+E(f5(f14(x6621,x6622,x6623,x6624),f14(x6621,x6625,x6623,x6624),f25(x6624,a1)),f14(x6621,f5(x6622,x6625,f25(x6623,a1)),x6623,x6624))
% 2.77/2.82 [663]~P9(x6631,f11(f25(x6633,a1)),x6633,x6634)+E(f6(f14(x6631,x6632,x6633,x6634),f14(x6631,x6635,x6633,x6634),f25(x6634,a1)),f14(x6631,f6(x6632,x6635,f25(x6633,a1)),x6633,x6634))
% 2.77/2.82 [671]~P9(x6711,f13(x6712,x6713,x6714),x6714,x6715)+~P14(f12(x6711,x6712),f14(x6711,f6(x6713,f13(x6712,f3(f25(x6714,a1)),x6714),f25(x6714,a1)),x6714,x6715),x6715)
% 2.77/2.82 [658]E(f12(x6581,x6582),x6583)+~P14(x6582,f21(x6581,f13(x6583,f3(f25(x6584,a1)),x6584),x6585,x6584),x6585)
% 2.77/2.82 [244]~P6(x2442)+~P6(x2441)+P6(f25(x2441,x2442))
% 2.77/2.82 [392]~P8(x3921,x3922)+P8(f10(x3921,f25(x3922,a1)),x3922)+~P8(f11(f25(x3922,a1)),x3922)
% 2.77/2.82 [415]~P8(x4152,x4151)+~P8(f10(x4152,f25(x4151,a1)),x4151)+P8(f11(f25(x4151,a1)),x4151)
% 2.77/2.82 [295]P13(x2952,x2951,x2953)+~P24(x2953)+P10(x2951,x2952,x2953)
% 2.77/2.82 [297]P13(x2972,x2971,x2973)+~P24(x2973)+P13(x2971,x2972,x2973)
% 2.77/2.82 [311]~P1(x3113)+~P10(x3111,x3112,x3113)+P13(x3111,x3112,x3113)
% 2.77/2.82 [312]~P18(x3123)+~P10(x3121,x3122,x3123)+P13(x3121,x3122,x3123)
% 2.77/2.82 [347]~P10(x3473,x3472,x3471)+~P1(x3471)+~P10(x3472,x3473,x3471)
% 2.77/2.82 [348]~P13(x3483,x3482,x3481)+~P1(x3481)+~P10(x3482,x3483,x3481)
% 2.77/2.82 [349]~P10(x3493,x3492,x3491)+~P24(x3491)+~P10(x3492,x3493,x3491)
% 2.77/2.82 [351]~P13(x3513,x3512,x3511)+~P24(x3511)+~P10(x3512,x3513,x3511)
% 2.77/2.82 [353]~P10(x3533,x3532,x3531)+~P18(x3531)+~P10(x3532,x3533,x3531)
% 2.77/2.82 [250]~P24(x2503)+E(x2501,x2502)+~E(f15(x2501,x2503),f15(x2502,x2503))
% 2.77/2.82 [251]~P4(x2513)+E(x2511,x2512)+~E(f10(x2511,x2513),f10(x2512,x2513))
% 2.77/2.82 [252]~P20(x2523)+E(x2521,x2522)+~E(f10(x2521,x2523),f10(x2522,x2523))
% 2.77/2.82 [253]~P24(x2533)+E(x2531,x2532)+~E(f16(x2531,x2533),f16(x2532,x2533))
% 2.77/2.82 [254]~P24(x2543)+E(x2541,x2542)+~E(f17(x2541,x2543),f17(x2542,x2543))
% 2.77/2.82 [255]~P24(x2553)+E(x2551,x2552)+~E(f18(x2551,x2553),f18(x2552,x2553))
% 2.77/2.82 [284]~P15(x2842)+~E(f5(x2843,x2841,x2842),f11(x2842))+E(x2841,f11(x2842))
% 2.77/2.82 [285]~P15(x2852)+~E(f4(x2853,x2851,x2852),f3(x2852))+E(x2851,f3(x2852))
% 2.77/2.82 [286]~P15(x2862)+~E(f5(x2861,x2863,x2862),f11(x2862))+E(x2861,f11(x2862))
% 2.77/2.82 [287]~P15(x2872)+~E(f4(x2871,x2873,x2872),f3(x2872))+E(x2871,f3(x2872))
% 2.77/2.82 [313]~P2(x3133)+~P13(x3131,x3132,x3133)+E(f4(x3131,x3132,x3133),x3132)
% 2.77/2.82 [314]~P2(x3143)+~P13(x3142,x3141,x3143)+E(f4(x3141,x3142,x3143),x3141)
% 2.77/2.82 [315]~P17(x3153)+~P13(x3152,x3151,x3153)+E(f5(x3151,x3152,x3153),x3152)
% 2.77/2.82 [316]~P17(x3163)+~P13(x3161,x3162,x3163)+E(f5(x3161,x3162,x3163),x3161)
% 2.77/2.82 [317]~P2(x3173)+P13(x3171,x3172,x3173)+~E(f4(x3171,x3172,x3173),x3172)
% 2.77/2.82 [318]~P17(x3183)+P13(x3181,x3182,x3183)+~E(f5(x3181,x3182,x3183),x3181)
% 2.77/2.82 [328]P8(x3281,x3282)+~P8(x3283,x3282)+~P13(x3281,x3283,f25(x3282,a1))
% 2.77/2.82 [340]~P5(x3403)+~P13(x3402,x3401,x3403)+P14(x3401,f15(x3402,x3403),x3403)
% 2.77/2.82 [341]~P5(x3413)+~P10(x3411,x3412,x3413)+P14(x3411,f16(x3412,x3413),x3413)
% 2.77/2.82 [342]~P5(x3423)+~P10(x3422,x3421,x3423)+P14(x3421,f17(x3422,x3423),x3423)
% 2.77/2.82 [343]~P5(x3433)+~P13(x3431,x3432,x3433)+P14(x3431,f18(x3432,x3433),x3433)
% 2.77/2.82 [363]~P5(x3633)+P10(x3631,x3632,x3633)+~P14(x3632,f17(x3631,x3633),x3633)
% 2.77/2.82 [364]~P5(x3643)+P10(x3641,x3642,x3643)+~P14(x3641,f16(x3642,x3643),x3643)
% 2.77/2.82 [365]~P5(x3653)+P13(x3651,x3652,x3653)+~P14(x3652,f15(x3651,x3653),x3653)
% 2.77/2.82 [366]~P5(x3663)+P13(x3661,x3662,x3663)+~P14(x3661,f18(x3662,x3663),x3663)
% 2.77/2.82 [375]~P22(x3752)+~P10(x3753,x3751,x3752)+P10(f10(x3751,x3752),f10(x3753,x3752),x3752)
% 2.77/2.82 [376]~P22(x3762)+~P13(x3763,x3761,x3762)+P13(f10(x3761,x3762),f10(x3763,x3762),x3762)
% 2.77/2.82 [385]E(x3851,x3852)+~P13(x3851,x3852,f25(x3853,a1))+P10(x3851,x3852,f25(x3853,a1))
% 2.77/2.82 [395]~P22(x3953)+~P10(x3952,f10(x3951,x3953),x3953)+P10(x3951,f10(x3952,x3953),x3953)
% 2.77/2.82 [397]~P22(x3973)+~P13(x3972,f10(x3971,x3973),x3973)+P13(x3971,f10(x3972,x3973),x3973)
% 2.77/2.82 [399]~P22(x3992)+~P10(f10(x3993,x3992),x3991,x3992)+P10(f10(x3991,x3992),x3993,x3992)
% 2.77/2.82 [401]~P22(x4012)+~P13(f10(x4013,x4012),x4011,x4012)+P13(f10(x4011,x4012),x4013,x4012)
% 2.77/2.82 [411]~P18(x4112)+~P13(x4113,x4111,x4112)+P13(f15(x4111,x4112),f15(x4113,x4112),f25(x4112,a1))
% 2.77/2.82 [412]~P24(x4122)+~P13(x4121,x4123,x4122)+P13(f16(x4121,x4122),f16(x4123,x4122),f25(x4122,a1))
% 2.77/2.82 [413]~P24(x4132)+~P13(x4133,x4131,x4132)+P13(f17(x4131,x4132),f17(x4133,x4132),f25(x4132,a1))
% 2.77/2.82 [414]~P18(x4142)+~P13(x4141,x4143,x4142)+P13(f18(x4141,x4142),f18(x4143,x4142),f25(x4142,a1))
% 2.77/2.82 [417]~P22(x4173)+P10(x4171,x4172,x4173)+~P10(f10(x4172,x4173),f10(x4171,x4173),x4173)
% 2.77/2.82 [418]~P22(x4183)+P13(x4181,x4182,x4183)+~P13(f10(x4182,x4183),f10(x4181,x4183),x4183)
% 2.77/2.82 [440]E(x4401,x4402)+~P13(x4401,x4402,f25(x4403,a1))+~P13(x4402,x4401,f25(x4403,a1))
% 2.77/2.82 [458]~P24(x4583)+P13(x4581,x4582,x4583)+~P13(f16(x4581,x4583),f16(x4582,x4583),f25(x4583,a1))
% 2.77/2.82 [459]~P24(x4593)+P13(x4591,x4592,x4593)+~P13(f17(x4592,x4593),f17(x4591,x4593),f25(x4593,a1))
% 2.77/2.82 [460]~P18(x4603)+P13(x4601,x4602,x4603)+~P13(f15(x4602,x4603),f15(x4601,x4603),f25(x4603,a1))
% 2.77/2.82 [461]~P18(x4613)+P13(x4611,x4612,x4613)+~P13(f18(x4611,x4613),f18(x4612,x4613),f25(x4613,a1))
% 2.77/2.82 [642]~P8(x6422,x6423)+P9(x6421,x6422,x6423,x6423)+~P13(x6422,f14(x6421,x6422,x6423,x6423),f25(x6423,a1))
% 2.77/2.82 [306]P10(x3061,x3062,x3063)+~P18(x3063)+E(f19(x3061,x3062,x3063),f3(f25(x3063,a1)))
% 2.77/2.82 [307]P13(x3071,x3072,x3073)+~P18(x3073)+E(f20(x3071,x3072,x3073),f3(f25(x3073,a1)))
% 2.77/2.82 [308]P10(x3082,x3083,x3081)+~P18(x3081)+E(f3(f25(x3081,a1)),f19(x3082,x3083,x3081))
% 2.77/2.82 [309]P13(x3092,x3093,x3091)+~P18(x3091)+E(f3(f25(x3091,a1)),f20(x3092,x3093,x3091))
% 2.77/2.82 [344]~P18(x3443)+~P13(x3442,x3441,x3443)+E(f19(x3441,x3442,x3443),f3(f25(x3443,a1)))
% 2.77/2.82 [345]~P18(x3453)+~P10(x3452,x3451,x3453)+E(f20(x3451,x3452,x3453),f3(f25(x3453,a1)))
% 2.77/2.82 [390]~P8(x3902,x3903)+~P8(x3901,x3903)+P8(f4(x3901,x3902,f25(x3903,a1)),x3903)
% 2.77/2.82 [403]~P18(x4033)+~P10(x4031,x4032,x4033)+~E(f19(x4031,x4032,x4033),f3(f25(x4033,a1)))
% 2.77/2.82 [404]~P18(x4043)+~P13(x4041,x4042,x4043)+~E(f20(x4041,x4042,x4043),f3(f25(x4043,a1)))
% 2.77/2.82 [405]~P18(x4051)+~P10(x4052,x4053,x4051)+~E(f3(f25(x4051,a1)),f19(x4052,x4053,x4051))
% 2.77/2.82 [406]~P18(x4061)+~P13(x4062,x4063,x4061)+~E(f3(f25(x4061,a1)),f20(x4062,x4063,x4061))
% 2.77/2.82 [474]P8(x4741,x4742)+~P8(x4743,x4742)+~P8(f6(x4741,x4743,f25(x4742,a1)),x4742)
% 2.77/2.82 [488]~P24(x4882)+~P13(x4881,x4883,x4882)+E(f4(f16(x4881,x4882),f19(x4881,x4883,x4882),f25(x4882,a1)),f16(x4883,x4882))
% 2.77/2.82 [489]~P24(x4892)+~P13(x4891,x4893,x4892)+E(f4(f16(x4891,x4892),f20(x4891,x4893,x4892),f25(x4892,a1)),f18(x4893,x4892))
% 2.77/2.82 [490]~P24(x4903)+~P13(x4901,x4902,x4903)+E(f4(f19(x4901,x4902,x4903),f15(x4902,x4903),f25(x4903,a1)),f15(x4901,x4903))
% 2.77/2.82 [491]~P24(x4913)+~P13(x4911,x4912,x4913)+E(f4(f20(x4911,x4912,x4913),f17(x4912,x4913),f25(x4913,a1)),f15(x4911,x4913))
% 2.77/2.82 [584]~P24(x5843)+~P13(x5841,x5842,x5843)+E(f4(f19(x5841,x5842,x5843),f13(x5842,f3(f25(x5843,a1)),x5843),f25(x5843,a1)),f20(x5841,x5842,x5843))
% 2.77/2.82 [591]~P13(x5911,f13(x5913,f3(f25(x5912,a1)),x5912),f25(x5912,a1))+E(x5911,f3(f25(x5912,a1)))+E(x5911,f13(x5913,f3(f25(x5912,a1)),x5912))
% 2.77/2.82 [416]~P7(x4161,x4164,x4163)+P7(x4161,x4162,x4163)+~P7(x4164,x4162,x4163)
% 2.77/2.82 [354]~P21(x3544)+E(x3541,x3542)+~E(f6(x3543,x3543,x3544),f6(x3541,x3542,x3544))
% 2.77/2.82 [355]~P21(x3553)+E(x3551,x3552)+~E(f6(x3551,x3552,x3553),f6(x3554,x3554,x3553))
% 2.77/2.82 [378]~P13(x3783,x3781,f25(x3784,a1))+P26(f12(x3781,x3782))+~P26(f12(x3783,x3782))
% 2.77/2.82 [393]~P5(x3934)+P13(x3931,x3932,f25(x3933,x3934))+~P10(x3931,x3932,f25(x3933,x3934))
% 2.77/2.82 [443]~P2(x4434)+~P10(x4431,x4433,x4434)+P10(x4431,f4(x4432,x4433,x4434),x4434)
% 2.77/2.82 [444]~P2(x4444)+~P10(x4441,x4442,x4444)+P10(x4441,f4(x4442,x4443,x4444),x4444)
% 2.77/2.82 [445]~P2(x4454)+~P13(x4451,x4453,x4454)+P13(x4451,f4(x4452,x4453,x4454),x4454)
% 2.77/2.82 [446]~P2(x4464)+~P13(x4461,x4462,x4464)+P13(x4461,f4(x4462,x4463,x4464),x4464)
% 2.77/2.82 [447]~P17(x4473)+~P10(x4472,x4474,x4473)+P10(f5(x4471,x4472,x4473),x4474,x4473)
% 2.77/2.82 [448]~P17(x4483)+~P10(x4481,x4484,x4483)+P10(f5(x4481,x4482,x4483),x4484,x4483)
% 2.77/2.82 [449]~P17(x4493)+~P13(x4492,x4494,x4493)+P13(f5(x4491,x4492,x4493),x4494,x4493)
% 2.77/2.82 [450]~P17(x4503)+~P13(x4501,x4504,x4503)+P13(f5(x4501,x4502,x4503),x4504,x4503)
% 2.77/2.82 [451]~P5(x4511)+~P10(x4512,x4513,f25(x4514,x4511))+~P13(x4513,x4512,f25(x4514,x4511))
% 2.77/2.82 [453]P14(x4531,x4532,x4533)+~P14(x4531,x4534,x4533)+~P10(x4534,x4532,f25(x4533,a1))
% 2.77/2.82 [457]P14(x4571,x4572,x4573)+~P14(x4571,x4574,x4573)+~P13(x4574,x4572,f25(x4573,a1))
% 2.77/2.82 [476]E(x4761,x4762)+P14(x4761,x4763,x4764)+~P14(x4761,f13(x4762,x4763,x4764),x4764)
% 2.77/2.82 [479]~P17(x4793)+P13(x4791,x4792,x4793)+~P13(x4791,f5(x4794,x4792,x4793),x4793)
% 2.77/2.82 [481]~P17(x4813)+P13(x4811,x4812,x4813)+~P13(x4811,f5(x4812,x4814,x4813),x4813)
% 2.77/2.82 [483]~P2(x4833)+P13(x4831,x4832,x4833)+~P13(f4(x4834,x4831,x4833),x4832,x4833)
% 2.77/2.82 [485]~P2(x4853)+P13(x4851,x4852,x4853)+~P13(f4(x4851,x4854,x4853),x4852,x4853)
% 2.77/2.82 [497]~P10(x4971,x4974,f25(x4973,a1))+~P10(x4974,x4972,f25(x4973,a1))+P10(x4971,x4972,f25(x4973,a1))
% 2.77/2.82 [498]~P13(x4981,x4984,f25(x4983,a1))+~P10(x4984,x4982,f25(x4983,a1))+P10(x4981,x4982,f25(x4983,a1))
% 2.77/2.82 [499]~P13(x4994,x4992,f25(x4993,a1))+~P10(x4991,x4994,f25(x4993,a1))+P10(x4991,x4992,f25(x4993,a1))
% 2.77/2.82 [500]~P13(x5001,x5004,f25(x5003,a1))+~P13(x5004,x5002,f25(x5003,a1))+P13(x5001,x5002,f25(x5003,a1))
% 2.77/2.82 [540]~P14(x5402,x5403,x5404)+~P10(x5401,x5403,f25(x5404,a1))+P10(x5401,f13(x5402,x5403,x5404),f25(x5404,a1))
% 2.77/2.82 [541]~P14(x5411,x5414,x5413)+~P13(x5412,x5414,f25(x5413,a1))+P13(f13(x5411,x5412,x5413),x5414,f25(x5413,a1))
% 2.77/2.82 [548]P14(x5481,x5482,x5483)+~P13(x5482,f13(x5481,x5484,x5483),f25(x5483,a1))+P13(x5482,x5484,f25(x5483,a1))
% 2.77/2.82 [565]~P14(x5654,x5652,x5653)+~P10(x5651,f13(x5654,x5652,x5653),f25(x5653,a1))+P10(x5651,x5652,f25(x5653,a1))
% 2.77/2.82 [646]P8(x6461,x6462)+~P9(x6463,x6461,x6462,x6464)+~P8(f14(x6463,x6461,x6462,x6464),x6464)
% 2.77/2.82 [464]P7(x4641,x4642,x4643)+~P7(x4641,x4644,x4643)+~P13(x4642,x4644,f25(f22(x4643),a1))
% 2.77/2.82 [514]~P14(x5144,x5142,x5143)+~P14(x5144,x5141,x5143)+~E(f5(x5141,x5142,f25(x5143,a1)),f3(f25(x5143,a1)))
% 2.77/2.82 [527]~P14(x5271,x5274,x5273)+P14(x5271,x5272,x5273)+P14(x5271,f6(x5274,x5272,f25(x5273,a1)),x5273)
% 2.77/2.82 [534]~P14(x5341,x5343,x5344)+~P14(x5341,x5342,x5344)+P14(x5341,f5(x5342,x5343,f25(x5344,a1)),x5344)
% 2.77/2.82 [544]E(x5441,x5442)+P26(f12(x5443,x5441))+~P26(f12(f13(x5442,x5443,x5444),x5441))
% 2.77/2.82 [552]P14(x5521,x5522,x5523)+P14(x5521,x5524,x5523)+~P14(x5521,f4(x5522,x5524,f25(x5523,a1)),x5523)
% 2.77/2.82 [557]~P24(x5573)+~P13(x5571,x5574,x5573)+E(f6(f19(x5571,x5572,x5573),f19(x5571,x5574,x5573),f25(x5573,a1)),f19(x5574,x5572,x5573))
% 2.77/2.82 [571]~P13(x5711,x5712,f25(x5714,a1))+~P13(x5711,x5713,f25(x5714,a1))+P13(x5711,f5(x5712,x5713,f25(x5714,a1)),f25(x5714,a1))
% 2.77/2.82 [573]~P13(x5731,x5734,f25(x5733,a1))+~P13(x5732,x5734,f25(x5733,a1))+P13(f4(x5731,x5732,f25(x5733,a1)),x5734,f25(x5733,a1))
% 2.77/2.82 [574]~P13(x5741,x5742,f25(x5744,a1))+~P13(x5743,x5741,f25(x5744,a1))+E(f6(x5741,f6(x5742,x5743,f25(x5744,a1)),f25(x5744,a1)),x5743)
% 2.77/2.82 [636]~P8(x6362,x6364)+P8(f21(x6361,x6362,x6363,x6364),x6363)+~P9(x6361,f11(f25(x6363,a1)),x6363,x6364)
% 2.77/2.82 [637]~P14(x6372,x6371,x6373)+~P13(x6371,f13(x6372,x6374,x6373),f25(x6373,a1))+P13(f6(x6371,f13(x6372,f3(f25(x6373,a1)),x6373),f25(x6373,a1)),x6374,f25(x6373,a1))
% 2.77/2.82 [650]~P14(x6502,x6501,x6504)+P13(x6501,f13(x6502,x6503,x6504),f25(x6504,a1))+~P13(f6(x6501,f13(x6502,f3(f25(x6504,a1)),x6504),f25(x6504,a1)),x6503,f25(x6504,a1))
% 2.77/2.82 [672]~P5(x6724)+P13(x6721,x6722,f25(x6723,x6724))+~P13(f12(x6721,f8(x6721,x6722,x6723,x6724)),f12(x6722,f8(x6721,x6722,x6723,x6724)),x6724)
% 2.77/2.82 [673]~P5(x6734)+P13(x6731,x6732,f25(x6733,x6734))+~P13(f12(x6731,f9(x6731,x6732,x6733,x6734)),f12(x6732,f9(x6731,x6732,x6733,x6734)),x6734)
% 2.77/2.82 [551]~P26(f12(x5512,x5514))+~P26(f12(x5511,x5514))+P26(f12(f5(x5511,x5512,f25(x5513,a1)),x5514))
% 2.77/2.82 [590]P26(f12(x5901,x5902))+P26(f12(x5903,x5902))+~P26(f12(f4(x5901,x5903,f25(x5904,a1)),x5902))
% 2.77/2.82 [432]~P5(x4324)+P13(f12(x4321,x4322),f12(x4323,x4322),x4324)+~P13(x4321,x4323,f25(x4325,x4324))
% 2.77/2.82 [529]~P18(x5293)+P13(x5291,x5292,x5293)+P13(f20(x5291,x5292,x5293),f20(x5294,x5295,x5293),f25(x5293,a1))
% 2.77/2.82 [580]~P18(x5803)+P13(x5801,x5802,x5803)+~P10(f20(x5804,x5805,x5803),f20(x5801,x5802,x5803),f25(x5803,a1))
% 2.77/2.82 [619]P9(x6191,x6192,x6193,x6194)+~P9(x6191,x6195,x6193,x6194)+~P13(x6192,x6195,f25(x6193,a1))
% 2.77/2.82 [633]P8(x6331,x6332)+~P8(x6333,x6334)+~P13(x6331,f14(x6335,x6333,x6334,x6332),f25(x6332,a1))
% 2.77/2.82 [579]E(x5791,x5792)+~E(f12(x5793,x5791),f12(x5793,x5792))+~P9(x5793,f11(f25(x5794,a1)),x5794,x5795)
% 2.77/2.82 [604]~P13(x6041,x6044,f25(x6043,a1))+~P13(x6042,x6045,f25(x6043,a1))+P13(f4(x6041,x6042,f25(x6043,a1)),f4(x6044,x6045,f25(x6043,a1)),f25(x6043,a1))
% 2.77/2.82 [605]~P13(x6051,x6054,f25(x6053,a1))+~P13(x6052,x6055,f25(x6053,a1))+P13(f5(x6051,x6052,f25(x6053,a1)),f5(x6054,x6055,f25(x6053,a1)),f25(x6053,a1))
% 2.77/2.82 [606]~P13(x6061,x6064,f25(x6063,a1))+~P13(x6065,x6062,f25(x6063,a1))+P13(f6(x6061,x6062,f25(x6063,a1)),f6(x6064,x6065,f25(x6063,a1)),f25(x6063,a1))
% 2.77/2.82 [648]E(x6481,x6482)+~E(f14(x6483,x6481,x6484,x6485),f14(x6483,x6482,x6484,x6485))+~P9(x6483,f11(f25(x6484,a1)),x6484,x6485)
% 2.77/2.82 [654]E(x6541,x6542)+~E(f14(x6543,x6541,x6544,x6545),f14(x6543,x6542,x6544,x6545))+~P9(x6543,f4(x6541,x6542,f25(x6544,a1)),x6544,x6545)
% 2.77/2.82 [656]P14(x6561,x6562,x6563)+~P14(f12(x6564,x6561),f14(x6564,x6562,x6563,x6565),x6565)+~P9(x6564,f11(f25(x6563,a1)),x6563,x6565)
% 2.77/2.82 [664]~P13(x6642,f14(x6641,x6645,x6643,x6644),f25(x6644,a1))+P13(f21(x6641,x6642,x6643,x6644),x6645,f25(x6643,a1))+~P9(x6641,f11(f25(x6643,a1)),x6643,x6644)
% 2.77/2.82 [667]~P13(f14(x6674,x6671,x6673,x6675),f14(x6674,x6672,x6673,x6675),f25(x6675,a1))+P13(x6671,x6672,f25(x6673,a1))+~P9(x6674,f11(f25(x6673,a1)),x6673,x6675)
% 2.77/2.82 [670]~P9(x6701,x6703,x6704,x6705)+P9(x6701,f13(x6702,x6703,x6704),x6704,x6705)+P14(f12(x6701,x6702),f14(x6701,f6(x6703,f13(x6702,f3(f25(x6704,a1)),x6704),f25(x6704,a1)),x6704,x6705),x6705)
% 2.77/2.82 [624]E(x6241,x6242)+E(x6241,x6243)+~E(f13(x6244,f13(x6241,f3(f25(x6245,a1)),x6245),x6245),f13(x6243,f13(x6242,f3(f25(x6245,a1)),x6245),x6245))
% 2.77/2.82 [625]E(x6251,x6252)+E(x6253,x6252)+~E(f13(x6253,f13(x6251,f3(f25(x6254,a1)),x6254),x6254),f13(x6255,f13(x6252,f3(f25(x6254,a1)),x6254),x6254))
% 2.77/2.82 [626]E(x6261,x6262)+E(x6263,x6262)+~E(f13(x6263,f13(x6261,f3(f25(x6264,a1)),x6264),x6264),f13(x6262,f13(x6265,f3(f25(x6264,a1)),x6264),x6264))
% 2.77/2.82 [627]E(x6271,x6272)+E(x6271,x6273)+~E(f13(x6271,f13(x6274,f3(f25(x6275,a1)),x6275),x6275),f13(x6273,f13(x6272,f3(f25(x6275,a1)),x6275),x6275))
% 2.77/2.82 [638]~P14(x6382,x6385,x6386)+P14(f12(x6381,x6382),x6383,x6384)+~P13(f14(x6381,x6385,x6386,x6384),x6383,f25(x6384,a1))
% 2.77/2.82 [302]P10(x3021,x3022,x3023)+~P24(x3023)+E(x3021,x3022)+P10(x3022,x3021,x3023)
% 2.77/2.82 [303]P10(x3031,x3032,x3033)+~P27(x3033)+E(x3031,x3032)+P10(x3032,x3031,x3033)
% 2.77/2.82 [320]~P24(x3203)+~P13(x3201,x3202,x3203)+E(x3201,x3202)+P10(x3201,x3202,x3203)
% 2.77/2.82 [326]~P18(x3263)+~P13(x3261,x3262,x3263)+E(x3261,x3262)+P10(x3261,x3262,x3263)
% 2.77/2.82 [360]~P13(x3602,x3601,x3603)+~P13(x3601,x3602,x3603)+E(x3601,x3602)+~P18(x3603)
% 2.77/2.82 [386]P13(x3862,x3861,x3863)+~P1(x3863)+~P13(x3861,x3862,x3863)+P10(x3861,x3862,x3863)
% 2.77/2.82 [388]~P4(x3882)+~E(f4(x3881,x3883,x3882),f11(x3882))+~E(f5(x3881,x3883,x3882),f3(x3882))+E(f10(x3881,x3882),x3883)
% 2.77/2.82 [659]~P8(x6592,x6593)+~P9(x6591,x6592,x6593,x6593)+~P13(f14(x6591,x6592,x6593,x6593),x6592,f25(x6593,a1))+E(f14(x6591,x6592,x6593,x6593),x6592)
% 2.77/2.82 [424]~P1(x4243)+~P10(x4241,x4244,x4243)+P10(x4241,x4242,x4243)+~P10(x4244,x4242,x4243)
% 2.77/2.82 [425]~P1(x4253)+~P13(x4251,x4254,x4253)+P10(x4251,x4252,x4253)+~P10(x4254,x4252,x4253)
% 2.77/2.82 [426]~P1(x4263)+~P13(x4264,x4262,x4263)+P10(x4261,x4262,x4263)+~P10(x4261,x4264,x4263)
% 2.77/2.82 [427]~P18(x4273)+~P10(x4271,x4274,x4273)+P10(x4271,x4272,x4273)+~P10(x4274,x4272,x4273)
% 2.77/2.82 [428]~P18(x4283)+~P13(x4281,x4284,x4283)+P10(x4281,x4282,x4283)+~P10(x4284,x4282,x4283)
% 2.77/2.82 [429]~P18(x4293)+~P13(x4294,x4292,x4293)+P10(x4291,x4292,x4293)+~P10(x4291,x4294,x4293)
% 2.77/2.82 [430]~P1(x4303)+~P13(x4301,x4304,x4303)+P13(x4301,x4302,x4303)+~P13(x4304,x4302,x4303)
% 2.77/2.82 [431]~P18(x4313)+~P13(x4311,x4314,x4313)+P13(x4311,x4312,x4313)+~P13(x4314,x4312,x4313)
% 2.77/2.82 [465]P14(x4653,x4651,x4654)+E(x4651,x4652)+P14(x4653,x4652,x4654)+~E(f13(x4653,x4651,x4654),f13(x4653,x4652,x4654))
% 2.77/2.82 [473]~P5(x4734)+P10(x4731,x4732,f25(x4733,x4734))+P13(x4732,x4731,f25(x4733,x4734))+~P13(x4731,x4732,f25(x4733,x4734))
% 2.77/2.82 [518]~P17(x5184)+~P13(x5181,x5183,x5184)+~P13(x5181,x5182,x5184)+P13(x5181,f5(x5182,x5183,x5184),x5184)
% 2.77/2.82 [521]~P2(x5213)+~P13(x5212,x5214,x5213)+~P13(x5211,x5214,x5213)+P13(f4(x5211,x5212,x5213),x5214,x5213)
% 2.77/2.82 [545]P14(x5451,x5452,x5453)+P14(x5451,x5454,x5453)+~P13(x5454,x5452,f25(x5453,a1))+P10(x5454,f13(x5451,x5452,x5453),f25(x5453,a1))
% 2.77/2.82 [577]P14(x5771,x5772,x5773)+P14(x5771,x5774,x5773)+~P10(x5774,f13(x5771,x5772,x5773),f25(x5773,a1))+P13(x5774,x5772,f25(x5773,a1))
% 2.77/2.82 [578]P14(x5781,x5782,x5783)+~P13(x5782,x5784,f25(x5783,a1))+~P10(x5782,x5784,f25(x5783,a1))+P10(x5782,f13(x5781,x5784,x5783),f25(x5783,a1))
% 2.77/2.82 [581]~P24(x5813)+~P13(x5812,x5814,x5813)+~P13(x5811,x5812,x5813)+E(f4(f19(x5811,x5812,x5813),f19(x5812,x5814,x5813),f25(x5813,a1)),f19(x5811,x5814,x5813))
% 2.77/2.82 [582]~P24(x5823)+~P13(x5822,x5824,x5823)+~P13(x5821,x5822,x5823)+E(f4(f19(x5821,x5822,x5823),f20(x5822,x5824,x5823),f25(x5823,a1)),f20(x5821,x5824,x5823))
% 2.77/2.82 [639]~P14(x6391,x6394,x6393)+P14(x6391,x6392,x6393)+~P10(x6394,f13(x6391,x6392,x6393),f25(x6393,a1))+P10(f6(x6394,f13(x6391,f3(f25(x6393,a1)),x6393),f25(x6393,a1)),x6392,f25(x6393,a1))
% 2.77/2.82 [652]~P14(x6521,x6524,x6523)+P14(x6521,x6522,x6523)+P10(x6524,f13(x6521,x6522,x6523),f25(x6523,a1))+~P10(f6(x6524,f13(x6521,f3(f25(x6523,a1)),x6523),f25(x6523,a1)),x6522,f25(x6523,a1))
% 2.77/2.82 [653]P14(x6531,x6532,x6533)+~P13(x6534,x6532,f25(x6533,a1))+P10(x6534,f13(x6531,x6532,x6533),f25(x6533,a1))+~P10(f6(x6534,f13(x6531,f3(f25(x6533,a1)),x6533),f25(x6533,a1)),x6532,f25(x6533,a1))
% 2.77/2.82 [655]~P14(x6552,x6551,x6554)+~P10(x6551,x6553,f25(x6554,a1))+P10(x6551,f13(x6552,x6553,x6554),f25(x6554,a1))+~P10(f6(x6551,f13(x6552,f3(f25(x6554,a1)),x6554),f25(x6554,a1)),x6553,f25(x6554,a1))
% 2.77/2.82 [657]~P13(x6571,x6573,f25(x6574,a1))+~P10(x6571,x6573,f25(x6574,a1))+P10(x6571,f13(x6572,x6573,x6574),f25(x6574,a1))+~P10(f6(x6571,f13(x6572,f3(f25(x6574,a1)),x6574),f25(x6574,a1)),x6573,f25(x6574,a1))
% 2.77/2.82 [492]~P22(x4923)+~P10(x4924,x4925,x4923)+P10(x4921,x4922,x4923)+~E(f6(x4924,x4925,x4923),f6(x4921,x4922,x4923))
% 2.77/2.82 [493]~P22(x4933)+~P10(x4934,x4935,x4933)+P10(x4931,x4932,x4933)+~E(f6(x4931,x4932,x4933),f6(x4934,x4935,x4933))
% 2.77/2.82 [494]~P22(x4943)+~P13(x4945,x4944,x4943)+P13(x4941,x4942,x4943)+~E(f6(x4944,x4945,x4943),f6(x4942,x4941,x4943))
% 2.77/2.82 [495]~P22(x4953)+~P13(x4955,x4954,x4953)+P13(x4951,x4952,x4953)+~E(f6(x4952,x4951,x4953),f6(x4954,x4955,x4953))
% 2.77/2.82 [562]~P18(x5623)+~P13(x5624,x5625,x5623)+P13(x5621,x5622,x5623)+P10(f20(x5621,x5622,x5623),f20(x5624,x5625,x5623),f25(x5623,a1))
% 2.77/2.82 [569]~P18(x5693)+~P13(x5694,x5691,x5693)+~P13(x5692,x5695,x5693)+P13(f20(x5691,x5692,x5693),f20(x5694,x5695,x5693),f25(x5693,a1))
% 2.77/2.82 [587]~P24(x5873)+P13(x5871,x5872,x5873)+P13(x5874,x5872,x5873)+~P13(f19(x5872,x5871,x5873),f19(x5874,x5875,x5873),f25(x5873,a1))
% 2.77/2.82 [588]~P24(x5883)+P13(x5881,x5882,x5883)+P13(x5881,x5884,x5883)+~P13(f19(x5882,x5881,x5883),f19(x5885,x5884,x5883),f25(x5883,a1))
% 2.77/2.82 [596]~P18(x5963)+P13(x5961,x5962,x5963)+~P13(x5964,x5961,x5963)+~P10(f20(x5964,x5961,x5963),f20(x5965,x5962,x5963),f25(x5963,a1))
% 2.77/2.82 [597]~P18(x5973)+P13(x5971,x5972,x5973)+~P13(x5974,x5971,x5973)+~P13(f20(x5974,x5971,x5973),f20(x5975,x5972,x5973),f25(x5973,a1))
% 2.77/2.82 [598]~P18(x5983)+P13(x5981,x5982,x5983)+~P13(x5982,x5984,x5983)+~P10(f20(x5982,x5984,x5983),f20(x5981,x5985,x5983),f25(x5983,a1))
% 2.77/2.82 [599]~P18(x5993)+P13(x5991,x5992,x5993)+~P13(x5992,x5994,x5993)+~P13(f20(x5992,x5994,x5993),f20(x5991,x5995,x5993),f25(x5993,a1))
% 2.77/2.82 [594]~P17(x5945)+~P17(x5944)+~P12(x5941,x5944,x5945)+P13(f12(x5941,f5(x5942,x5943,x5944)),f5(f12(x5941,x5942),f12(x5941,x5943),x5945),x5945)
% 2.77/2.82 [595]~P2(x5954)+~P2(x5955)+~P12(x5951,x5955,x5954)+P13(f4(f12(x5951,x5952),f12(x5951,x5953),x5954),f12(x5951,f4(x5952,x5953,x5955)),x5954)
% 2.77/2.82 [674]~P9(x6741,x6743,x6744,x6745)+~P9(x6741,x6742,x6744,x6745)+P9(x6741,f4(x6742,x6743,f25(x6744,a1)),x6744,x6745)+~E(f5(f14(x6741,f6(x6742,x6743,f25(x6744,a1)),x6744,x6745),f14(x6741,f6(x6743,x6742,f25(x6744,a1)),x6744,x6745),f25(x6745,a1)),f3(f25(x6745,a1)))
% 2.77/2.82 [665]~P9(x6651,x6656,x6653,x6654)+~P13(x6652,x6656,f25(x6653,a1))+~P13(x6655,x6656,f25(x6653,a1))+E(f5(f14(x6651,x6652,x6653,x6654),f14(x6651,x6655,x6653,x6654),f25(x6654,a1)),f14(x6651,f5(x6652,x6655,f25(x6653,a1)),x6653,x6654))
% 2.77/2.82 [666]~P9(x6661,x6666,x6663,x6664)+~P13(x6662,x6666,f25(x6663,a1))+~P13(x6665,x6666,f25(x6663,a1))+E(f6(f14(x6661,x6662,x6663,x6664),f14(x6661,x6665,x6663,x6664),f25(x6664,a1)),f14(x6661,f6(x6662,x6665,f25(x6663,a1)),x6663,x6664))
% 2.77/2.82 [472]~P18(x4724)+~P13(x4722,x4723,x4725)+~P12(x4721,x4725,x4724)+~P18(x4725)+P13(f12(x4721,x4722),f12(x4721,x4723),x4724)
% 2.77/2.82 [614]~P18(x6143)+~P13(x6142,x6144,x6143)+P10(x6141,x6142,x6143)+P10(x6144,x6145,x6143)+~P10(f20(x6142,x6144,x6143),f20(x6141,x6145,x6143),f25(x6143,a1))
% 2.77/2.82 [603]~P14(x6031,x6034,x6035)+E(x6031,x6032)+~P9(x6033,x6034,x6035,x6036)+~P14(x6032,x6034,x6035)+~E(f12(x6033,x6031),f12(x6033,x6032))
% 2.77/2.82 [608]~P18(x6083)+~P10(x6084,x6081,x6083)+~P13(x6084,x6085,x6083)+~P13(x6084,x6081,x6083)+~P13(x6082,x6085,x6083)+P10(f20(x6081,x6082,x6083),f20(x6084,x6085,x6083),f25(x6083,a1))
% 2.77/2.82 [609]~P18(x6093)+~P10(x6092,x6095,x6093)+~P13(x6094,x6095,x6093)+~P13(x6094,x6091,x6093)+~P13(x6092,x6095,x6093)+P10(f20(x6091,x6092,x6093),f20(x6094,x6095,x6093),f25(x6093,a1))
% 2.77/2.82 %EqnAxiom
% 2.77/2.82 [1]E(x11,x11)
% 2.77/2.82 [2]E(x22,x21)+~E(x21,x22)
% 2.77/2.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.77/2.82 [4]~E(x41,x42)+E(f25(x41,x43),f25(x42,x43))
% 2.77/2.82 [5]~E(x51,x52)+E(f25(x53,x51),f25(x53,x52))
% 2.77/2.82 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 2.77/2.82 [7]~E(x71,x72)+E(f13(x71,x73,x74),f13(x72,x73,x74))
% 2.77/2.82 [8]~E(x81,x82)+E(f13(x83,x81,x84),f13(x83,x82,x84))
% 2.77/2.82 [9]~E(x91,x92)+E(f13(x93,x94,x91),f13(x93,x94,x92))
% 2.77/2.82 [10]~E(x101,x102)+E(f5(x101,x103,x104),f5(x102,x103,x104))
% 2.77/2.82 [11]~E(x111,x112)+E(f5(x113,x111,x114),f5(x113,x112,x114))
% 2.77/2.82 [12]~E(x121,x122)+E(f5(x123,x124,x121),f5(x123,x124,x122))
% 2.77/2.82 [13]~E(x131,x132)+E(f14(x131,x133,x134,x135),f14(x132,x133,x134,x135))
% 2.77/2.82 [14]~E(x141,x142)+E(f14(x143,x141,x144,x145),f14(x143,x142,x144,x145))
% 2.77/2.82 [15]~E(x151,x152)+E(f14(x153,x154,x151,x155),f14(x153,x154,x152,x155))
% 2.77/2.82 [16]~E(x161,x162)+E(f14(x163,x164,x165,x161),f14(x163,x164,x165,x162))
% 2.77/2.82 [17]~E(x171,x172)+E(f4(x171,x173,x174),f4(x172,x173,x174))
% 2.77/2.82 [18]~E(x181,x182)+E(f4(x183,x181,x184),f4(x183,x182,x184))
% 2.77/2.82 [19]~E(x191,x192)+E(f4(x193,x194,x191),f4(x193,x194,x192))
% 2.77/2.82 [20]~E(x201,x202)+E(f6(x201,x203,x204),f6(x202,x203,x204))
% 2.77/2.82 [21]~E(x211,x212)+E(f6(x213,x211,x214),f6(x213,x212,x214))
% 2.77/2.82 [22]~E(x221,x222)+E(f6(x223,x224,x221),f6(x223,x224,x222))
% 2.77/2.82 [23]~E(x231,x232)+E(f10(x231,x233),f10(x232,x233))
% 2.77/2.82 [24]~E(x241,x242)+E(f10(x243,x241),f10(x243,x242))
% 2.77/2.82 [25]~E(x251,x252)+E(f22(x251),f22(x252))
% 2.77/2.82 [26]~E(x261,x262)+E(f20(x261,x263,x264),f20(x262,x263,x264))
% 2.77/2.82 [27]~E(x271,x272)+E(f20(x273,x271,x274),f20(x273,x272,x274))
% 2.77/2.82 [28]~E(x281,x282)+E(f20(x283,x284,x281),f20(x283,x284,x282))
% 2.77/2.82 [29]~E(x291,x292)+E(f21(x291,x293,x294,x295),f21(x292,x293,x294,x295))
% 2.77/2.82 [30]~E(x301,x302)+E(f21(x303,x301,x304,x305),f21(x303,x302,x304,x305))
% 2.77/2.82 [31]~E(x311,x312)+E(f21(x313,x314,x311,x315),f21(x313,x314,x312,x315))
% 2.77/2.82 [32]~E(x321,x322)+E(f21(x323,x324,x325,x321),f21(x323,x324,x325,x322))
% 2.77/2.82 [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 2.77/2.82 [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 2.77/2.82 [35]~E(x351,x352)+E(f15(x351,x353),f15(x352,x353))
% 2.77/2.82 [36]~E(x361,x362)+E(f15(x363,x361),f15(x363,x362))
% 2.77/2.82 [37]~E(x371,x372)+E(f12(x371,x373),f12(x372,x373))
% 2.77/2.82 [38]~E(x381,x382)+E(f12(x383,x381),f12(x383,x382))
% 2.77/2.82 [39]~E(x391,x392)+E(f11(x391),f11(x392))
% 2.77/2.82 [40]~E(x401,x402)+E(f19(x401,x403,x404),f19(x402,x403,x404))
% 2.77/2.82 [41]~E(x411,x412)+E(f19(x413,x411,x414),f19(x413,x412,x414))
% 2.77/2.82 [42]~E(x421,x422)+E(f19(x423,x424,x421),f19(x423,x424,x422))
% 2.77/2.82 [43]~E(x431,x432)+E(f9(x431,x433,x434,x435),f9(x432,x433,x434,x435))
% 2.77/2.82 [44]~E(x441,x442)+E(f9(x443,x441,x444,x445),f9(x443,x442,x444,x445))
% 2.77/2.82 [45]~E(x451,x452)+E(f9(x453,x454,x451,x455),f9(x453,x454,x452,x455))
% 2.77/2.82 [46]~E(x461,x462)+E(f9(x463,x464,x465,x461),f9(x463,x464,x465,x462))
% 2.77/2.82 [47]~E(x471,x472)+E(f17(x471,x473),f17(x472,x473))
% 2.77/2.82 [48]~E(x481,x482)+E(f17(x483,x481),f17(x483,x482))
% 2.77/2.82 [49]~E(x491,x492)+E(f18(x491,x493),f18(x492,x493))
% 2.77/2.82 [50]~E(x501,x502)+E(f18(x503,x501),f18(x503,x502))
% 2.77/2.82 [51]~E(x511,x512)+E(f7(x511,x513,x514),f7(x512,x513,x514))
% 2.77/2.82 [52]~E(x521,x522)+E(f7(x523,x521,x524),f7(x523,x522,x524))
% 2.77/2.82 [53]~E(x531,x532)+E(f7(x533,x534,x531),f7(x533,x534,x532))
% 2.77/2.82 [54]~E(x541,x542)+E(f8(x541,x543,x544,x545),f8(x542,x543,x544,x545))
% 2.77/2.82 [55]~E(x551,x552)+E(f8(x553,x551,x554,x555),f8(x553,x552,x554,x555))
% 2.77/2.82 [56]~E(x561,x562)+E(f8(x563,x564,x561,x565),f8(x563,x564,x562,x565))
% 2.77/2.82 [57]~E(x571,x572)+E(f8(x573,x574,x575,x571),f8(x573,x574,x575,x572))
% 2.77/2.82 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 2.77/2.82 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 2.77/2.82 [60]~P3(x601)+P3(x602)+~E(x601,x602)
% 2.77/2.82 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 2.77/2.82 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 2.77/2.82 [63]~P16(x631)+P16(x632)+~E(x631,x632)
% 2.77/2.82 [64]~P17(x641)+P17(x642)+~E(x641,x642)
% 2.77/2.82 [65]~P15(x651)+P15(x652)+~E(x651,x652)
% 2.77/2.82 [66]~P5(x661)+P5(x662)+~E(x661,x662)
% 2.77/2.82 [67]~P6(x671)+P6(x672)+~E(x671,x672)
% 2.77/2.82 [68]~P25(x681)+P25(x682)+~E(x681,x682)
% 2.77/2.82 [69]~P19(x691)+P19(x692)+~E(x691,x692)
% 2.77/2.82 [70]P7(x702,x703,x704)+~E(x701,x702)+~P7(x701,x703,x704)
% 2.77/2.82 [71]P7(x713,x712,x714)+~E(x711,x712)+~P7(x713,x711,x714)
% 2.77/2.82 [72]P7(x723,x724,x722)+~E(x721,x722)+~P7(x723,x724,x721)
% 2.77/2.82 [73]P13(x732,x733,x734)+~E(x731,x732)+~P13(x731,x733,x734)
% 2.77/2.82 [74]P13(x743,x742,x744)+~E(x741,x742)+~P13(x743,x741,x744)
% 2.77/2.82 [75]P13(x753,x754,x752)+~E(x751,x752)+~P13(x753,x754,x751)
% 2.77/2.82 [76]P12(x762,x763,x764)+~E(x761,x762)+~P12(x761,x763,x764)
% 2.77/2.82 [77]P12(x773,x772,x774)+~E(x771,x772)+~P12(x773,x771,x774)
% 2.77/2.82 [78]P12(x783,x784,x782)+~E(x781,x782)+~P12(x783,x784,x781)
% 2.77/2.82 [79]P11(x792,x793,x794)+~E(x791,x792)+~P11(x791,x793,x794)
% 2.77/2.82 [80]P11(x803,x802,x804)+~E(x801,x802)+~P11(x803,x801,x804)
% 2.77/2.82 [81]P11(x813,x814,x812)+~E(x811,x812)+~P11(x813,x814,x811)
% 2.77/2.82 [82]P8(x822,x823)+~E(x821,x822)+~P8(x821,x823)
% 2.77/2.82 [83]P8(x833,x832)+~E(x831,x832)+~P8(x833,x831)
% 2.77/2.82 [84]~P26(x841)+P26(x842)+~E(x841,x842)
% 2.77/2.82 [85]~P23(x851)+P23(x852)+~E(x851,x852)
% 2.77/2.82 [86]P10(x862,x863,x864)+~E(x861,x862)+~P10(x861,x863,x864)
% 2.77/2.82 [87]P10(x873,x872,x874)+~E(x871,x872)+~P10(x873,x871,x874)
% 2.77/2.82 [88]P10(x883,x884,x882)+~E(x881,x882)+~P10(x883,x884,x881)
% 2.77/2.82 [89]P14(x892,x893,x894)+~E(x891,x892)+~P14(x891,x893,x894)
% 2.77/2.82 [90]P14(x903,x902,x904)+~E(x901,x902)+~P14(x903,x901,x904)
% 2.77/2.82 [91]P14(x913,x914,x912)+~E(x911,x912)+~P14(x913,x914,x911)
% 2.77/2.82 [92]~P24(x921)+P24(x922)+~E(x921,x922)
% 2.77/2.82 [93]~P22(x931)+P22(x932)+~E(x931,x932)
% 2.77/2.82 [94]P9(x942,x943,x944,x945)+~E(x941,x942)+~P9(x941,x943,x944,x945)
% 2.77/2.82 [95]P9(x953,x952,x954,x955)+~E(x951,x952)+~P9(x953,x951,x954,x955)
% 2.77/2.82 [96]P9(x963,x964,x962,x965)+~E(x961,x962)+~P9(x963,x964,x961,x965)
% 2.77/2.82 [97]P9(x973,x974,x975,x972)+~E(x971,x972)+~P9(x973,x974,x975,x971)
% 2.77/2.82 [98]~P21(x981)+P21(x982)+~E(x981,x982)
% 2.77/2.82 [99]~P27(x991)+P27(x992)+~E(x991,x992)
% 2.77/2.82 [100]~P20(x1001)+P20(x1002)+~E(x1001,x1002)
% 2.77/2.82
% 2.77/2.82 %-------------------------------------------
% 2.77/2.82 cnf(675,plain,
% 2.77/2.82 (E(x6751,f4(x6751,x6751,f25(x6752,a1)))),
% 2.77/2.82 inference(scs_inference,[],[120,2])).
% 2.77/2.82 cnf(676,plain,
% 2.77/2.82 (~P10(x6761,x6761,a1)),
% 2.77/2.82 inference(scs_inference,[],[104,120,2,282])).
% 2.77/2.82 cnf(680,plain,
% 2.77/2.82 (P8(x6801,a1)),
% 2.77/2.82 inference(scs_inference,[],[104,110,120,223,2,282,275,230])).
% 2.77/2.82 cnf(683,plain,
% 2.77/2.82 (P13(x6831,f13(x6832,x6831,x6833),f25(x6833,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(687,plain,
% 2.77/2.82 (~P14(x6871,f3(f25(x6872,a1)),x6873)),
% 2.77/2.82 inference(scs_inference,[],[104,110,122,154,120,223,229,2,282,275,230,356,372,292])).
% 2.77/2.82 cnf(689,plain,
% 2.77/2.82 (P14(x6891,f13(x6891,x6892,x6893),x6894)),
% 2.77/2.82 inference(scs_inference,[],[104,110,122,154,120,164,223,229,2,282,275,230,356,372,292,283])).
% 2.77/2.82 cnf(694,plain,
% 2.77/2.82 (P13(x6941,f13(x6942,x6941,x6943),f25(x6943,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(699,plain,
% 2.77/2.82 (P13(x6991,f13(x6992,x6991,x6993),f25(x6993,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(702,plain,
% 2.77/2.82 (P13(x7021,f13(x7022,x7021,x7023),f25(x7023,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(705,plain,
% 2.77/2.82 (P13(f5(x7051,x7052,f25(x7053,a1)),x7052,f25(x7053,a1))),
% 2.77/2.82 inference(rename_variables,[],[161])).
% 2.77/2.82 cnf(708,plain,
% 2.77/2.82 (P13(f5(x7081,x7082,f25(x7083,a1)),x7082,f25(x7083,a1))),
% 2.77/2.82 inference(rename_variables,[],[161])).
% 2.77/2.82 cnf(711,plain,
% 2.77/2.82 (P13(x7111,f13(x7112,x7111,x7113),f25(x7113,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(717,plain,
% 2.77/2.82 (~P14(x7171,f21(x7172,f3(f25(x7173,a1)),x7174,x7173),x7174)),
% 2.77/2.82 inference(scs_inference,[],[104,110,122,154,683,694,699,702,227,120,164,161,705,223,229,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635])).
% 2.77/2.82 cnf(718,plain,
% 2.77/2.82 (~P14(x7181,f3(f25(x7182,a1)),x7182)),
% 2.77/2.82 inference(rename_variables,[],[227])).
% 2.77/2.82 cnf(722,plain,
% 2.77/2.82 (P13(f3(f25(x7221,a1)),x7222,f25(x7223,a1))),
% 2.77/2.82 inference(scs_inference,[],[104,110,122,154,683,694,699,702,227,120,164,161,705,223,136,229,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496])).
% 2.77/2.82 cnf(734,plain,
% 2.77/2.82 (P13(x7341,x7341,f25(x7342,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(737,plain,
% 2.77/2.82 (P13(x7371,x7371,f25(x7372,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(741,plain,
% 2.77/2.82 (P14(x7411,f11(f25(x7412,a1)),x7412)),
% 2.77/2.82 inference(rename_variables,[],[124])).
% 2.77/2.82 cnf(743,plain,
% 2.77/2.82 (P14(f12(x7431,x7432),f14(x7431,f11(f25(x7433,a1)),x7433,x7434),x7434)),
% 2.77/2.82 inference(rename_variables,[],[204])).
% 2.77/2.82 cnf(744,plain,
% 2.77/2.82 (~P14(x7441,f3(f25(x7442,a1)),x7442)),
% 2.77/2.82 inference(rename_variables,[],[227])).
% 2.77/2.82 cnf(746,plain,
% 2.77/2.82 (P14(x7461,f13(x7461,x7462,x7463),x7463)),
% 2.77/2.82 inference(rename_variables,[],[147])).
% 2.77/2.82 cnf(748,plain,
% 2.77/2.82 (E(f4(x7481,f3(f25(x7482,a1)),f25(x7482,a1)),x7481)),
% 2.77/2.82 inference(rename_variables,[],[130])).
% 2.77/2.82 cnf(749,plain,
% 2.77/2.82 (~P26(f12(f3(f25(x7491,a1)),x7492))),
% 2.77/2.82 inference(rename_variables,[],[229])).
% 2.77/2.82 cnf(753,plain,
% 2.77/2.82 (P13(x7531,f4(x7532,x7531,f25(x7533,a1)),f25(x7533,a1))),
% 2.77/2.82 inference(rename_variables,[],[159])).
% 2.77/2.82 cnf(755,plain,
% 2.77/2.82 (P13(x7551,f13(x7552,x7551,x7553),f25(x7553,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(756,plain,
% 2.77/2.82 (E(f4(x7561,x7561,f25(x7562,a1)),x7561)),
% 2.77/2.82 inference(rename_variables,[],[120])).
% 2.77/2.82 cnf(760,plain,
% 2.77/2.82 (~E(f13(x7601,x7602,x7603),f4(f3(f25(x7603,a1)),f3(f25(x7603,a1)),f25(x7604,a1)))),
% 2.77/2.82 inference(scs_inference,[],[113,115,220,104,110,122,147,119,734,154,683,694,699,702,711,167,124,227,718,120,756,117,164,159,161,705,135,223,136,229,204,130,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3])).
% 2.77/2.82 cnf(761,plain,
% 2.77/2.82 (E(f4(x7611,x7611,f25(x7612,a1)),x7611)),
% 2.77/2.82 inference(rename_variables,[],[120])).
% 2.77/2.82 cnf(765,plain,
% 2.77/2.82 (P9(x7651,f3(f25(x7652,a1)),x7652,x7653)),
% 2.77/2.82 inference(rename_variables,[],[167])).
% 2.77/2.82 cnf(768,plain,
% 2.77/2.82 (P13(x7681,f13(x7682,x7681,x7683),f25(x7683,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(771,plain,
% 2.77/2.82 (P13(x7711,f4(x7712,x7711,f25(x7713,a1)),f25(x7713,a1))),
% 2.77/2.82 inference(rename_variables,[],[159])).
% 2.77/2.82 cnf(774,plain,
% 2.77/2.82 (P13(x7741,f13(x7742,x7741,x7743),f25(x7743,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(778,plain,
% 2.77/2.82 (P13(x7781,f13(x7782,x7781,x7783),f25(x7783,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(779,plain,
% 2.77/2.82 (~E(f3(f25(x7791,a1)),f13(x7792,x7793,x7791))),
% 2.77/2.82 inference(rename_variables,[],[224])).
% 2.77/2.82 cnf(782,plain,
% 2.77/2.82 (P8(f3(f25(x7821,a1)),x7821)),
% 2.77/2.82 inference(rename_variables,[],[117])).
% 2.77/2.82 cnf(789,plain,
% 2.77/2.82 (P13(x7891,x7891,f25(x7892,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(793,plain,
% 2.77/2.82 (~P14(x7931,f6(x7932,f13(x7931,x7933,x7934),f25(x7934,a1)),x7934)),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,110,122,147,746,119,734,737,154,683,694,699,702,711,755,768,774,167,124,227,718,120,756,117,782,164,159,753,161,705,128,135,223,224,136,229,749,204,130,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514])).
% 2.77/2.82 cnf(797,plain,
% 2.77/2.82 (P13(f5(x7971,x7972,f25(x7973,a1)),x7972,f25(x7973,a1))),
% 2.77/2.82 inference(rename_variables,[],[161])).
% 2.77/2.82 cnf(800,plain,
% 2.77/2.82 (~P10(x8001,x8001,f25(x8002,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(803,plain,
% 2.77/2.82 (P13(x8031,f13(x8032,x8031,x8033),f25(x8033,a1))),
% 2.77/2.82 inference(rename_variables,[],[154])).
% 2.77/2.82 cnf(808,plain,
% 2.77/2.82 (P13(x8081,x8081,f25(x8082,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(814,plain,
% 2.77/2.82 (P13(x8141,f4(x8142,x8141,f25(x8143,a1)),f25(x8143,a1))),
% 2.77/2.82 inference(rename_variables,[],[159])).
% 2.77/2.82 cnf(817,plain,
% 2.77/2.82 (P13(x8171,x8171,f25(x8172,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(821,plain,
% 2.77/2.82 (P13(f13(x8211,f3(f25(x8212,a1)),x8212),f13(x8211,f6(f13(x8211,f3(f25(x8212,a1)),x8212),f13(x8211,f3(f25(x8212,a1)),x8212),f25(x8212,a1)),x8212),f25(x8212,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,109,110,122,147,746,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,167,124,227,718,120,756,117,782,164,159,753,771,161,705,708,163,128,135,223,224,136,229,749,204,130,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650])).
% 2.77/2.82 cnf(822,plain,
% 2.77/2.82 (P13(x8221,x8221,f25(x8222,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(823,plain,
% 2.77/2.82 (P14(x8231,f13(x8231,x8232,x8233),x8233)),
% 2.77/2.82 inference(rename_variables,[],[147])).
% 2.77/2.82 cnf(829,plain,
% 2.77/2.82 (P10(f6(f13(x8291,f3(f25(x8292,a1)),x8292),f13(x8291,f3(f25(x8292,a1)),x8292),f25(x8292,a1)),f13(x8291,f3(f25(x8292,a1)),x8292),f25(x8292,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,109,110,122,147,746,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,167,124,227,718,744,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545])).
% 2.77/2.82 cnf(830,plain,
% 2.77/2.82 (~P14(x8301,f3(f25(x8302,a1)),x8302)),
% 2.77/2.82 inference(rename_variables,[],[227])).
% 2.77/2.82 cnf(832,plain,
% 2.77/2.82 (P10(f3(f25(x8321,a1)),f13(x8322,f13(x8323,f3(f25(x8321,a1)),x8321),x8321),f25(x8321,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,109,110,122,147,746,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578])).
% 2.77/2.82 cnf(835,plain,
% 2.77/2.82 (~P10(f13(x8351,f3(f25(x8352,a1)),x8352),f13(x8351,f6(f13(x8351,f3(f25(x8352,a1)),x8352),f13(x8351,f3(f25(x8352,a1)),x8352),f25(x8352,a1)),x8352),f25(x8352,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,109,110,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639])).
% 2.77/2.82 cnf(837,plain,
% 2.77/2.82 (~P14(f13(x8371,x8372,x8373),f13(f3(f25(x8373,a1)),f3(f25(x8374,a1)),x8374),x8374)),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,104,107,109,110,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546])).
% 2.77/2.82 cnf(859,plain,
% 2.77/2.82 (P5(f25(x8591,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,102,104,106,107,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241])).
% 2.77/2.82 cnf(861,plain,
% 2.77/2.82 (P15(f25(x8611,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,102,104,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240])).
% 2.77/2.82 cnf(863,plain,
% 2.77/2.82 (P17(f25(x8631,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,102,104,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239])).
% 2.77/2.82 cnf(869,plain,
% 2.77/2.82 (P18(f25(x8691,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,102,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236])).
% 2.77/2.82 cnf(873,plain,
% 2.77/2.82 (P2(f25(x8731,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234])).
% 2.77/2.82 cnf(875,plain,
% 2.77/2.82 (P1(f25(x8751,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,124,227,718,744,830,120,756,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233])).
% 2.77/2.82 cnf(937,plain,
% 2.77/2.82 (~P14(x9371,f6(f3(f25(x9372,a1)),x9373,f25(x9372,a1)),x9372)),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537])).
% 2.77/2.82 cnf(1017,plain,
% 2.77/2.82 (~P26(f12(f5(f3(f25(x10171,a1)),x10172,f25(x10173,a1)),f12(x10174,x10175)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,743,130,132,134,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586])).
% 2.77/2.82 cnf(1089,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x10891,a1)),f25(x10891,a1)),f10(f13(x10892,x10893,x10891),f25(x10891,a1)),f25(x10891,a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,117,782,164,159,753,771,161,705,708,163,128,129,135,223,224,136,229,749,204,743,130,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549])).
% 2.77/2.82 cnf(1121,plain,
% 2.77/2.82 (~E(a1,x11211)+P19(x11211)),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69])).
% 2.77/2.82 cnf(1123,plain,
% 2.77/2.82 (P5(f4(f25(f22(a2),a1),f25(f22(a2),a1),f25(x11231,a1)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66])).
% 2.77/2.82 cnf(1126,plain,
% 2.77/2.82 (P16(f4(f25(f22(a2),a1),f25(f22(a2),a1),f25(x11261,a1)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63])).
% 2.77/2.82 cnf(1128,plain,
% 2.77/2.82 (P18(f4(f25(f22(a2),a1),f25(f22(a2),a1),f25(x11281,a1)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61])).
% 2.77/2.82 cnf(1130,plain,
% 2.77/2.82 (P2(f4(f25(f22(a2),a1),f25(f22(a2),a1),f25(x11301,a1)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59])).
% 2.77/2.82 cnf(1136,plain,
% 2.77/2.82 (~P13(f4(f13(x11361,x11362,f22(a2)),x11363,f25(f22(a2),a1)),f3(f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485])).
% 2.77/2.82 cnf(1138,plain,
% 2.77/2.82 (~P13(f4(x11381,f13(x11382,x11383,f22(a2)),f25(f22(a2),a1)),f3(f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483])).
% 2.77/2.82 cnf(1140,plain,
% 2.77/2.82 (~P13(f13(x11401,x11402,f22(a2)),f5(f3(f25(f22(a2),a1)),x11403,f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481])).
% 2.77/2.82 cnf(1145,plain,
% 2.77/2.82 (~P14(x11451,f3(f25(x11452,a1)),x11452)),
% 2.77/2.82 inference(rename_variables,[],[227])).
% 2.77/2.82 cnf(1155,plain,
% 2.77/2.82 (P10(f3(f25(f22(a2),a1)),f4(f13(x11551,f3(f25(f22(a2),a1)),f22(a2)),x11552,f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,779,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481,479,476,450,449,446,445,444])).
% 2.77/2.82 cnf(1161,plain,
% 2.77/2.82 (~P14(f3(f25(f22(a2),a1)),f15(f13(x11611,x11612,f22(a2)),f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,779,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481,479,476,450,449,446,445,444,443,366,365])).
% 2.77/2.82 cnf(1193,plain,
% 2.77/2.82 (~E(f5(f13(x11931,x11932,f22(a2)),f3(f25(f22(a2),a1)),f25(f22(a2),a1)),f13(x11931,x11932,f22(a2)))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,1145,120,756,761,121,117,782,164,159,753,771,161,705,708,797,163,128,129,228,135,223,224,779,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481,479,476,450,449,446,445,444,443,366,365,364,363,343,342,341,340,627,626,625,624,552,534,527,432,390,318])).
% 2.77/2.82 cnf(1223,plain,
% 2.77/2.82 (~P13(f15(f3(f25(f22(a2),a1)),f25(f22(a2),a1)),f15(f13(x12231,x12232,f22(a2)),f25(f22(a2),a1)),f25(f25(f22(a2),a1),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,1145,120,756,761,121,117,782,164,159,753,771,814,161,705,708,797,163,128,129,228,135,223,224,779,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481,479,476,450,449,446,445,444,443,366,365,364,363,343,342,341,340,627,626,625,624,552,534,527,432,390,318,316,315,314,313,251,451,406,404,344,309,308,307,580,529,460])).
% 2.77/2.82 cnf(1249,plain,
% 2.77/2.82 (P10(f3(f25(f22(a2),a1)),f4(f3(f25(f22(a2),a1)),f13(x12491,x12492,f22(a2)),f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(scs_inference,[],[113,114,115,220,101,102,103,104,105,106,107,108,109,110,111,112,122,147,746,823,119,734,737,789,808,817,822,222,800,154,683,694,699,702,711,755,768,774,778,803,167,765,124,741,227,718,744,830,1145,120,756,761,121,117,782,164,159,753,771,814,160,161,705,708,797,163,128,129,228,135,223,224,779,136,229,749,204,743,130,748,132,134,221,165,2,282,275,230,356,372,292,283,567,524,419,561,560,559,558,532,475,452,635,568,496,641,543,477,433,593,592,96,91,90,89,84,83,75,74,73,72,71,70,3,416,619,464,457,440,385,328,448,447,633,378,514,500,499,498,393,638,548,541,461,540,650,494,545,578,639,546,337,335,333,331,261,260,259,258,243,242,241,240,239,238,237,236,235,234,233,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,621,583,542,537,536,535,513,471,470,466,442,374,369,368,367,357,339,338,310,298,291,289,265,264,263,262,247,613,410,408,329,305,304,279,278,277,276,269,268,267,266,232,231,586,585,539,538,510,508,506,504,502,501,469,438,437,436,435,383,382,381,380,379,371,370,645,643,632,631,630,617,556,555,554,553,434,422,420,550,549,528,525,523,487,486,618,564,515,576,575,563,622,589,88,87,86,80,69,68,66,65,64,63,62,61,60,59,58,453,244,485,483,481,479,476,450,449,446,445,444,443,366,365,364,363,343,342,341,340,627,626,625,624,552,534,527,432,390,318,316,315,314,313,251,451,406,404,344,309,308,307,580,529,460,414,411,565,590,573,571,551,574,606,605,604,637,386])).
% 2.77/2.82 cnf(1297,plain,
% 2.77/2.82 (E(x12971,f4(x12971,x12971,f25(x12972,a1)))),
% 2.77/2.82 inference(rename_variables,[],[675])).
% 2.77/2.82 cnf(1299,plain,
% 2.77/2.82 (E(x12991,f4(x12991,x12991,f25(x12992,a1)))),
% 2.77/2.82 inference(rename_variables,[],[675])).
% 2.77/2.82 cnf(1301,plain,
% 2.77/2.82 (P10(f6(f13(x13011,f3(f25(x13012,a1)),x13012),f13(x13011,f3(f25(x13012,a1)),x13012),f25(x13012,a1)),f13(x13011,f3(f25(x13012,a1)),x13012),f25(x13012,a1))),
% 2.77/2.82 inference(rename_variables,[],[829])).
% 2.77/2.82 cnf(1304,plain,
% 2.77/2.82 (P18(f25(x13041,a1))),
% 2.77/2.82 inference(rename_variables,[],[869])).
% 2.77/2.82 cnf(1307,plain,
% 2.77/2.82 (P1(f25(x13071,a1))),
% 2.77/2.82 inference(rename_variables,[],[875])).
% 2.77/2.82 cnf(1310,plain,
% 2.77/2.82 (P10(f3(f25(x13101,a1)),f13(x13102,f13(x13103,f3(f25(x13101,a1)),x13101),x13101),f25(x13101,a1))),
% 2.77/2.82 inference(rename_variables,[],[832])).
% 2.77/2.82 cnf(1313,plain,
% 2.77/2.82 (P10(f3(f25(x13131,a1)),f13(x13132,f13(x13133,f3(f25(x13131,a1)),x13131),x13131),f25(x13131,a1))),
% 2.77/2.82 inference(rename_variables,[],[832])).
% 2.77/2.82 cnf(1319,plain,
% 2.77/2.82 (~P10(x13191,x13191,f25(x13192,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1322,plain,
% 2.77/2.82 (~P26(f12(f3(f25(x13221,a1)),x13222))),
% 2.77/2.82 inference(rename_variables,[],[229])).
% 2.77/2.82 cnf(1327,plain,
% 2.77/2.82 (P13(f5(x13271,x13272,f25(x13273,a1)),x13271,f25(x13273,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1328,plain,
% 2.77/2.82 (P13(f14(x13281,f21(x13281,x13282,x13283,x13284),x13283,x13284),x13282,f25(x13284,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1331,plain,
% 2.77/2.82 (P13(f14(x13311,f21(x13311,x13312,x13313,x13314),x13313,x13314),x13312,f25(x13314,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1332,plain,
% 2.77/2.82 (P13(f5(x13321,x13322,f25(x13323,a1)),x13321,f25(x13323,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1335,plain,
% 2.77/2.82 (P13(f5(x13351,x13352,f25(x13353,a1)),x13351,f25(x13353,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1336,plain,
% 2.77/2.82 (~P10(x13361,x13361,f25(x13362,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1339,plain,
% 2.77/2.82 (P13(f14(x13391,f21(x13391,x13392,x13393,x13394),x13393,x13394),x13392,f25(x13394,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1340,plain,
% 2.77/2.82 (~P10(x13401,x13401,f25(x13402,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1344,plain,
% 2.77/2.82 (~P10(x13441,x13441,f25(x13442,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1348,plain,
% 2.77/2.82 (~P10(x13481,x13481,f25(x13482,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1351,plain,
% 2.77/2.82 (P18(f25(x13511,a1))),
% 2.77/2.82 inference(rename_variables,[],[869])).
% 2.77/2.82 cnf(1352,plain,
% 2.77/2.82 (P13(f5(x13521,x13522,f25(x13523,a1)),x13521,f25(x13523,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1353,plain,
% 2.77/2.82 (P13(f3(f25(x13531,a1)),x13532,f25(x13533,a1))),
% 2.77/2.82 inference(rename_variables,[],[722])).
% 2.77/2.82 cnf(1356,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x13561,a1)),f25(x13561,a1)),f10(f13(x13562,x13563,x13561),f25(x13561,a1)),f25(x13561,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1357,plain,
% 2.77/2.82 (P13(x13571,x13571,f25(x13572,a1))),
% 2.77/2.82 inference(rename_variables,[],[119])).
% 2.77/2.82 cnf(1361,plain,
% 2.77/2.82 (~P14(x13611,f21(x13612,f3(f25(x13613,a1)),x13614,x13613),x13614)),
% 2.77/2.82 inference(rename_variables,[],[717])).
% 2.77/2.82 cnf(1362,plain,
% 2.77/2.82 (~P10(x13621,x13621,f25(x13622,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1389,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x13891,a1)),f25(x13891,a1)),f10(f13(x13892,x13893,x13891),f25(x13891,a1)),f25(x13891,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1393,plain,
% 2.77/2.82 (P13(f3(f25(x13931,a1)),x13932,f25(x13933,a1))),
% 2.77/2.82 inference(rename_variables,[],[722])).
% 2.77/2.82 cnf(1394,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x13941,a1)),f25(x13941,a1)),f10(f13(x13942,x13943,x13941),f25(x13941,a1)),f25(x13941,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1395,plain,
% 2.77/2.82 (P18(f25(x13951,a1))),
% 2.77/2.82 inference(rename_variables,[],[869])).
% 2.77/2.82 cnf(1410,plain,
% 2.77/2.82 (P10(f6(f13(x14101,f3(f25(x14102,a1)),x14102),f13(x14101,f3(f25(x14102,a1)),x14102),f25(x14102,a1)),f13(x14101,f3(f25(x14102,a1)),x14102),f25(x14102,a1))),
% 2.77/2.82 inference(rename_variables,[],[829])).
% 2.77/2.82 cnf(1413,plain,
% 2.77/2.82 (P17(f25(x14131,a1))),
% 2.77/2.82 inference(rename_variables,[],[863])).
% 2.77/2.82 cnf(1416,plain,
% 2.77/2.82 (P17(f25(x14161,a1))),
% 2.77/2.82 inference(rename_variables,[],[863])).
% 2.77/2.82 cnf(1419,plain,
% 2.77/2.82 (P13(f5(x14191,x14192,f25(x14193,a1)),x14191,f25(x14193,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1422,plain,
% 2.77/2.82 (P13(f14(x14221,f21(x14221,x14222,x14223,x14224),x14223,x14224),x14222,f25(x14224,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1425,plain,
% 2.77/2.82 (P13(f5(x14251,x14252,f25(x14253,a1)),x14251,f25(x14253,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1428,plain,
% 2.77/2.82 (P13(f5(x14281,x14282,f25(x14283,a1)),x14281,f25(x14283,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1429,plain,
% 2.77/2.82 (P5(f25(x14291,a1))),
% 2.77/2.82 inference(rename_variables,[],[859])).
% 2.77/2.82 cnf(1432,plain,
% 2.77/2.82 (P10(f6(f13(x14321,f3(f25(x14322,a1)),x14322),f13(x14321,f3(f25(x14322,a1)),x14322),f25(x14322,a1)),f13(x14321,f3(f25(x14322,a1)),x14322),f25(x14322,a1))),
% 2.77/2.82 inference(rename_variables,[],[829])).
% 2.77/2.82 cnf(1435,plain,
% 2.77/2.82 (P10(f6(f13(x14351,f3(f25(x14352,a1)),x14352),f13(x14351,f3(f25(x14352,a1)),x14352),f25(x14352,a1)),f13(x14351,f3(f25(x14352,a1)),x14352),f25(x14352,a1))),
% 2.77/2.82 inference(rename_variables,[],[829])).
% 2.77/2.82 cnf(1443,plain,
% 2.77/2.82 (P13(f5(x14431,x14432,f25(x14433,a1)),x14431,f25(x14433,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1448,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x14481,a1)),f25(x14481,a1)),f10(f13(x14482,x14483,x14481),f25(x14481,a1)),f25(x14481,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1455,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x14551,a1)),f25(x14551,a1)),f10(f13(x14552,x14553,x14551),f25(x14551,a1)),f25(x14551,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1456,plain,
% 2.77/2.82 (P13(f5(x14561,x14562,f25(x14563,a1)),x14561,f25(x14563,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1459,plain,
% 2.77/2.82 (P13(f5(x14591,x14592,f25(x14593,a1)),x14591,f25(x14593,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1460,plain,
% 2.77/2.82 (~P10(x14601,x14601,f25(x14602,a1))),
% 2.77/2.82 inference(rename_variables,[],[222])).
% 2.77/2.82 cnf(1482,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x14821,a1)),f25(x14821,a1)),f10(f13(x14822,x14823,x14821),f25(x14821,a1)),f25(x14821,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1489,plain,
% 2.77/2.82 (~P13(f10(f3(f25(x14891,a1)),f25(x14891,a1)),f10(f13(x14892,x14893,x14891),f25(x14891,a1)),f25(x14891,a1))),
% 2.77/2.82 inference(rename_variables,[],[1089])).
% 2.77/2.82 cnf(1490,plain,
% 2.77/2.82 (P13(f14(x14901,f21(x14901,x14902,x14903,x14904),x14903,x14904),x14902,f25(x14904,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1497,plain,
% 2.77/2.82 (~P13(f13(x14971,x14972,f22(a2)),f5(f3(f25(f22(a2),a1)),x14973,f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(rename_variables,[],[1140])).
% 2.77/2.82 cnf(1503,plain,
% 2.77/2.82 (P13(f5(x15031,x15032,f25(x15033,a1)),x15031,f25(x15033,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1506,plain,
% 2.77/2.82 (P13(f14(x15061,f21(x15061,x15062,x15063,x15064),x15063,x15064),x15062,f25(x15064,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1509,plain,
% 2.77/2.82 (P13(f5(x15091,x15092,f25(x15093,a1)),x15091,f25(x15093,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1512,plain,
% 2.77/2.82 (P13(f5(x15121,x15122,f25(x15123,a1)),x15121,f25(x15123,a1))),
% 2.77/2.82 inference(rename_variables,[],[162])).
% 2.77/2.82 cnf(1522,plain,
% 2.77/2.82 (P13(f14(x15221,f21(x15221,x15222,x15223,x15224),x15223,x15224),x15222,f25(x15224,a1))),
% 2.77/2.82 inference(rename_variables,[],[215])).
% 2.77/2.82 cnf(1526,plain,
% 2.77/2.82 (P13(f3(f25(x15261,a1)),x15262,f25(x15263,a1))),
% 2.77/2.82 inference(rename_variables,[],[722])).
% 2.77/2.82 cnf(1539,plain,
% 2.77/2.82 (~P13(f4(f13(x15391,x15392,f22(a2)),x15393,f25(f22(a2),a1)),f3(f25(f22(a2),a1)),f25(f22(a2),a1))),
% 2.77/2.82 inference(rename_variables,[],[1136])).
% 2.77/2.82 cnf(1552,plain,
% 2.77/2.82 (E(f5(x15521,f11(f25(x15522,a1)),f25(x15522,a1)),x15521)),
% 2.77/2.82 inference(rename_variables,[],[131])).
% 2.77/2.82 cnf(1556,plain,
% 2.77/2.82 (E(f5(x15561,f11(f25(x15562,a1)),f25(x15562,a1)),x15561)),
% 2.77/2.82 inference(rename_variables,[],[131])).
% 2.77/2.82 cnf(1560,plain,
% 2.77/2.82 ($false),
% 2.77/2.82 inference(scs_inference,[],[113,675,1297,1299,676,680,162,1327,1332,1335,1352,1419,1425,1428,1443,1456,1459,1503,1509,1512,215,1328,1331,1339,1422,1490,1506,1522,209,218,219,131,1552,1556,133,125,205,115,119,1357,222,1319,1336,1340,1344,1348,1362,1460,154,124,159,160,224,136,204,221,110,220,229,1322,228,109,105,104,689,1136,1539,1138,1155,1249,717,1361,1161,1223,829,1301,1410,1432,1435,821,835,793,837,937,1017,1193,1140,1497,1089,1356,1389,1394,1448,1455,1482,1489,760,687,1123,1126,1128,1130,832,1310,1313,722,1353,1393,1526,859,1429,861,863,1413,1416,869,1304,1351,1395,873,875,1307,1121,67,353,312,311,405,403,345,306,544,287,431,430,429,428,426,425,360,598,652,257,336,334,332,330,661,497,642,673,672,465,599,562,290,288,372,292,283,568,348,481,479,450,449,446,343,342,341,527,251,406,638,580,571,605,596,614,356,561,560,558,532,464,378,451,393,460,565,386,597,477,457,548,528,316,315,314,344,309,308,326,419,440,618,444,443,385,473,578,452,496,89,88,87,84,75,72,71,70,416]),
% 2.77/2.82 ['proof']).
% 2.77/2.82 % SZS output end Proof
% 2.77/2.82 % Total time :1.970000s
%------------------------------------------------------------------------------