TSTP Solution File: SWV913-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV913-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 21:35:47 EDT 2023
% Result : Unsatisfiable 0.72s 0.86s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV913-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:35:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.71/0.81 %-------------------------------------------
% 0.71/0.81 % File :CSE---1.6
% 0.71/0.81 % Problem :theBenchmark
% 0.71/0.81 % Transform :cnf
% 0.71/0.81 % Format :tptp:raw
% 0.71/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.81
% 0.71/0.81 % Result :Theorem 0.030000s
% 0.71/0.81 % Output :CNFRefutation 0.030000s
% 0.71/0.81 %-------------------------------------------
% 0.71/0.82 %------------------------------------------------------------------------------
% 0.71/0.82 % File : SWV913-1 : TPTP v8.1.2. Released v4.1.0.
% 0.71/0.82 % Domain : Software Verification
% 0.71/0.82 % Problem : Hoare logic with procedures 494_1
% 0.71/0.82 % Version : Especial.
% 0.71/0.82 % English : Completeness is taken relative to completeness of the underlying
% 0.71/0.82 % logic. Two versions of completeness proof: nested single recursion
% 0.71/0.82 % and simultaneous recursion in call rule.
% 0.71/0.82
% 0.71/0.82 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.71/0.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.71/0.82 % Source : [Nip10]
% 0.71/0.82 % Names : Hoare-494_1 [Nip10]
% 0.71/0.82
% 0.71/0.82 % Status : Unsatisfiable
% 0.71/0.82 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.12 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0
% 0.71/0.82 % Syntax : Number of clauses : 521 ( 128 unt; 64 nHn; 250 RR)
% 0.71/0.82 % Number of literals : 1167 ( 299 equ; 602 neg)
% 0.71/0.82 % Maximal clause size : 7 ( 2 avg)
% 0.71/0.82 % Maximal term depth : 9 ( 2 avg)
% 0.71/0.82 % Number of predicates : 27 ( 26 usr; 0 prp; 1-9 aty)
% 0.71/0.82 % Number of functors : 51 ( 51 usr; 5 con; 0-6 aty)
% 0.71/0.82 % Number of variables : 2000 ( 323 sgn)
% 0.71/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.71/0.82
% 0.71/0.82 % Comments :
% 0.71/0.82 %------------------------------------------------------------------------------
% 0.71/0.82 cnf(cls_insert__Diff1_0,axiom,
% 0.71/0.82 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_UN__upper_0,axiom,
% 0.71/0.82 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.71/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__SUPI_0,axiom,
% 0.71/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.71/0.82 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.71/0.82 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_fold1__def_0,axiom,
% 0.71/0.82 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_diff__single__insert_0,axiom,
% 0.71/0.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_subset__insert__iff_3,axiom,
% 0.71/0.82 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_subset__insert__iff_0,axiom,
% 0.71/0.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.71/0.82 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_inj__on__image__Int_0,axiom,
% 0.71/0.82 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B))
% 0.71/0.82 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.71/0.82 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_finite__surj_0,axiom,
% 0.71/0.82 ( c_Finite__Set_Ofinite(V_B,T_b)
% 0.71/0.82 | ~ c_lessequals(V_B,hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),tc_fun(T_b,tc_bool))
% 0.71/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_image__subset__iff_0,axiom,
% 0.71/0.82 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.71/0.82 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.71/0.82 | ~ c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_Diff__triv_0,axiom,
% 0.71/0.82 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.71/0.82 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.71/0.82
% 0.72/0.82 cnf(cls_sup__fun__eq_0,axiom,
% 0.72/0.82 ( ~ class_Lattices_Olattice(T_b)
% 0.72/0.82 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.72/0.82 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_Int__Un__distrib_0,axiom,
% 0.72/0.82 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.72/0.82 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.72/0.82 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.82 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_Int__Collect_1,axiom,
% 0.72/0.82 ( hBOOL(hAPP(V_P,V_x))
% 0.72/0.82 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_order_Oless__le_1,axiom,
% 0.72/0.82 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 0.72/0.82 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_order_Ole__less_1,axiom,
% 0.72/0.82 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.82 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.82 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_Un__absorb_0,axiom,
% 0.72/0.82 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_sup__idem_0,axiom,
% 0.72/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.82 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_inj__on__insert_2,axiom,
% 0.72/0.82 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)
% 0.72/0.82 | hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))),T_b))
% 0.72/0.82 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_UN__simps_I3_J_0,axiom,
% 0.72/0.82 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.72/0.82 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_mem__def_1,axiom,
% 0.72/0.82 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.72/0.82 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_mem__def_0,axiom,
% 0.72/0.82 ( hBOOL(hAPP(V_S,V_x))
% 0.72/0.82 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.72/0.82
% 0.72/0.82 cnf(cls_comm__monoid__add_Ononempty__iff_1,axiom,
% 0.72/0.82 ( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(V_A,T_a),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(V_A,T_a),T_a))
% 0.72/0.83 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_COMBB__def_0,axiom,
% 0.72/0.83 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__on__Un_3,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.83 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__on__Un_2,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Diff__idemp_0,axiom,
% 0.72/0.83 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_eq__eqI_1,axiom,
% 0.72/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.72/0.83 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.72/0.83 | V_xa = V_y ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_eq__eqI_0,axiom,
% 0.72/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.72/0.83 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.72/0.83 | V_x_H = V_y_H ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Max__mono_0,axiom,
% 0.72/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.83 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 0.72/0.83 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.72/0.83 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_linorder_Oneq__iff_1,axiom,
% 0.72/0.83 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 0.72/0.83 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_linorder_Onot__less__iff__gr__or__eq_2,axiom,
% 0.72/0.83 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 0.72/0.83 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_lessThan__subset__iff_1,axiom,
% 0.72/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.83 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_lessThan__subset__iff_0,axiom,
% 0.72/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.83 | c_lessequals(V_x,V_y,T_a)
% 0.72/0.83 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_image__diff__subset_0,axiom,
% 0.72/0.83 c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B),tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__left__commute_0,axiom,
% 0.72/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__assoc_0,axiom,
% 0.72/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_sup__assoc_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_sup__left__commute_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_IntE_1,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_IntE_0,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__on__contraD_0,axiom,
% 0.72/0.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.83 | V_x = V_y
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__on__iff_0,axiom,
% 0.72/0.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.83 | V_x = V_y ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__on__def_0,axiom,
% 0.72/0.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.72/0.83 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.83 | V_x = V_xa ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inj__onD_0,axiom,
% 0.72/0.83 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.83 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.83 | V_x = V_y
% 0.72/0.83 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_UN__simps_I5_J_0,axiom,
% 0.72/0.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Int__absorb2_0,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 0.72/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Int__absorb1_0,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 0.72/0.83 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_le__iff__inf_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 0.72/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_le__iff__inf_1,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 0.72/0.83 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__absorb2_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 0.72/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__subset__iff_2,axiom,
% 0.72/0.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__upper2_0,axiom,
% 0.72/0.83 c_lessequals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__upper1_0,axiom,
% 0.72/0.83 c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__least_0,axiom,
% 0.72/0.83 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_le__supI_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)
% 0.72/0.83 | ~ c_lessequals(V_b,V_x,T_a)
% 0.72/0.83 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_sup__ge1_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_sup__ge2_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_sup__least_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)
% 0.72/0.83 | ~ c_lessequals(V_z,V_x,T_a)
% 0.72/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_le__sup__iff_2,axiom,
% 0.72/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)
% 0.72/0.83 | ~ c_lessequals(V_y,V_z,T_a)
% 0.72/0.83 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Int__commute_0,axiom,
% 0.72/0.83 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__commute_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Diff__partition_0,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B
% 0.72/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_lessThan__eq__iff_0,axiom,
% 0.72/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.83 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 0.72/0.83 | V_x = V_y ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_distrib__inf__le_0,axiom,
% 0.72/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.83 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Diff__subset_0,axiom,
% 0.72/0.83 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__Int__crazy_0,axiom,
% 0.72/0.83 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_order_OatLeastatMost__empty_0,axiom,
% 0.72/0.83 ( c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ hBOOL(hAPP(hAPP(V_less,V_b),V_a))
% 0.72/0.83 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_CollectI_0,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.72/0.83 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_CollectD_0,axiom,
% 0.72/0.83 ( hBOOL(hAPP(V_P,V_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Diff__iff_2,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.72/0.83 | hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_DiffI_0,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.72/0.83 | hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_insert__subset_0,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.72/0.83 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_insert__image_0,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)) = hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A)
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_subset__insert__iff_2,axiom,
% 0.72/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_subset__insert__iff_1,axiom,
% 0.72/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.83 | hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.83 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_subset__insert_1,axiom,
% 0.72/0.83 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_subset__insert_0,axiom,
% 0.72/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_vimage__mono_0,axiom,
% 0.72/0.83 ( c_lessequals(hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),tc_fun(T_b,tc_bool))
% 0.72/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Int__insert__right_1,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)
% 0.72/0.83 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Int__insert__left_1,axiom,
% 0.72/0.83 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)
% 0.72/0.83 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_UN__iff_2,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.72/0.83 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_UN__I_0,axiom,
% 0.72/0.83 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 0.72/0.83 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.72/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.83
% 0.72/0.83 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_below__fold1__iff_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.84 | c_lessequals(V_x,V_xa,T_a)
% 0.72/0.84 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.72/0.84 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)
% 0.72/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__insert__distrib_0,axiom,
% 0.72/0.84 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(hAPP(c_Set_Oinsert(T_b),V_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),T_a,tc_fun(T_b,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))
% 0.72/0.84 | ~ hBOOL(c_in(V_u,V_A,T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Diff_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inj__on__diff_0,axiom,
% 0.72/0.84 ( 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)
% 0.72/0.84 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Inf__insert_0,axiom,
% 0.72/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.84 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_vimage__Diff_0,axiom,
% 0.72/0.84 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a) = hAPP(hAPP(V_times,V_x),c_Finite__Set_Ofold1(V_times,V_A,T_a))
% 0.72/0.84 | hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_image__vimage__subset_0,axiom,
% 0.72/0.84 c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Collect__def_0,axiom,
% 0.72/0.84 c_Collect(V_P,T_a) = V_P ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_fun__left__comm__idem__sup_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.84 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_com_Osimps_I3_J_1,axiom,
% 0.72/0.84 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.72/0.84 | V_com2 = V_com2_H ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_com_Osimps_I3_J_0,axiom,
% 0.72/0.84 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.72/0.84 | V_com1 = V_com1_H ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Sup__insert_0,axiom,
% 0.72/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.84 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Diff2_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Diff2_1,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__empty__iff2_1,axiom,
% 0.72/0.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a)
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__empty__iff2_0,axiom,
% 0.72/0.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a)
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a)
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__UN_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.72/0.84 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_DiffE_0,axiom,
% 0.72/0.84 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.72/0.84 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.72/0.84 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A) != hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B)
% 0.72/0.84 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
% 0.72/0.84 | V_A = V_B ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_DiffE_1,axiom,
% 0.72/0.84 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.84 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__subset__iff_0,axiom,
% 0.72/0.84 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 0.72/0.84 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__absorb_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.72/0.84 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_image__Int__subset_0,axiom,
% 0.72/0.84 c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)),tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Un_2,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__UnI_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_b,V_d,T_a)
% 0.72/0.84 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | c_lessequals(V_b,V_d,T_a)
% 0.72/0.84 | ~ c_lessequals(V_a,V_b,T_a)
% 0.72/0.84 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | c_lessequals(V_c,V_a,T_a)
% 0.72/0.84 | ~ c_lessequals(V_a,V_b,T_a)
% 0.72/0.84 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.72/0.84 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.72/0.84 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))
% 0.72/0.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c)) = hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))
% 0.72/0.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(V_times,V_a),V_b) = hAPP(hAPP(V_times,V_b),V_a)
% 0.72/0.84 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_sup1E_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(V_B,V_x))
% 0.72/0.84 | hBOOL(hAPP(V_A,V_x))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_sup1CI_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 0.72/0.84 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_sup1CI_1,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 0.72/0.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_endo__inj__surj_0,axiom,
% 0.72/0.84 ( hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A) = V_A
% 0.72/0.84 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.72/0.84 | ~ c_lessequals(hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),V_A,tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UnE_0,axiom,
% 0.72/0.84 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.84 | hBOOL(c_in(V_c,V_A,T_a))
% 0.72/0.84 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inf__left__commute_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inf__assoc_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Int__assoc_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Int__left__commute_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__extend__simps_I10_J_0,axiom,
% 0.72/0.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_b,T_c),V_A),V_B,T_c,tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.72/0.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.72/0.84 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Un_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__Un_1,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Diff__mono_0,axiom,
% 0.72/0.84 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.72/0.84 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_distrib__sup__le_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.84 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_Oeq__iff_0,axiom,
% 0.72/0.84 ( ~ c_Orderings_Oorder(V_less__eq,V_less,T_a)
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Diff__Int2_0,axiom,
% 0.72/0.84 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_sup__inf__absorb_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_equalityI_0,axiom,
% 0.72/0.84 ( V_A = V_B
% 0.72/0.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_set__eq__subset_2,axiom,
% 0.72/0.84 ( V_A = V_B
% 0.72/0.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order__eq__iff_2,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | V_x = V_y
% 0.72/0.84 | ~ c_lessequals(V_y,V_x,T_a)
% 0.72/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order__antisym_0,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | V_x = V_y
% 0.72/0.84 | ~ c_lessequals(V_y,V_x,T_a)
% 0.72/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order__antisym__conv_0,axiom,
% 0.72/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.84 | V_x = V_y
% 0.72/0.84 | ~ c_lessequals(V_x,V_y,T_a)
% 0.72/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_inf__sup__absorb_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__Diff__Int_0,axiom,
% 0.72/0.84 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_sup__absorb1_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x
% 0.72/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_le__iff__sup_1,axiom,
% 0.72/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y
% 0.72/0.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_le__iff__sup_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.84 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y
% 0.72/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__absorb1_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 0.72/0.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Un__absorb2_0,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 0.72/0.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_subset__Un__eq_1,axiom,
% 0.72/0.84 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B
% 0.72/0.84 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_finite__imageI_0,axiom,
% 0.72/0.84 ( c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_h,T_a,T_b),V_F),T_b)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__simps_I3_J_1,axiom,
% 0.72/0.84 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))
% 0.72/0.84 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_bot__empty__eq_0,axiom,
% 0.72/0.84 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Min__antimono_0,axiom,
% 0.72/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.84 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.72/0.84 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Onot__less__iff__gr__or__eq_1,axiom,
% 0.72/0.84 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_OleD_0,axiom,
% 0.72/0.84 ( ~ hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_OleI_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Olinear_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Onot__le_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Onot__le_1,axiom,
% 0.72/0.84 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Onot__leE_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Oantisym__conv1_1,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less,V_x),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_linorder_Oantisym__conv2_1,axiom,
% 0.72/0.84 ( ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_x))
% 0.72/0.84 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less,V_x),V_x)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_UN__insert_0,axiom,
% 0.72/0.84 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__subset__iff_3,axiom,
% 0.72/0.84 ( c_lessequals(c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_b),V_d))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_c),V_a))
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__subset__iff_2,axiom,
% 0.72/0.84 ( c_lessequals(c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__subset__iff_1,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_b),V_d))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.84 | ~ c_lessequals(c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_order_OatLeastatMost__subset__iff_0,axiom,
% 0.72/0.84 ( hBOOL(hAPP(hAPP(V_less__eq,V_c),V_a))
% 0.72/0.84 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.84 | ~ c_lessequals(c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.84 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_triple_Oinject_0,axiom,
% 0.72/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.72/0.84 | V_fun1 = V_fun1_H ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_triple_Oinject_1,axiom,
% 0.72/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.72/0.84 | V_com = V_com_H ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_triple_Oinject_2,axiom,
% 0.72/0.84 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 0.72/0.84 | V_fun2 = V_fun2_H ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_fold1__belowI_0,axiom,
% 0.72/0.84 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.84 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)
% 0.72/0.84 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.72/0.84 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_Inf__lower_0,axiom,
% 0.72/0.84 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.84 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.72/0.84 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.84
% 0.72/0.84 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.72/0.85 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.72/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__insert__left_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_fun__diff__def_0,axiom,
% 0.72/0.85 ( ~ class_HOL_Ominus(T_b)
% 0.72/0.85 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__subset__iff_1,axiom,
% 0.72/0.85 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__subset__iff_0,axiom,
% 0.72/0.85 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__infE_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_a,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__infE_1,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_b,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__infI1_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__infI2_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__inf__iff_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_y,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__inf__iff_1,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__Diff_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__eq_1,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimageI2_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_A),T_b))
% 0.72/0.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimageI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_b,T_a),V_B),T_b))
% 0.72/0.85 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimageE_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimageD_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ord_OatLeastAtMost__iff_1,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.72/0.85 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ord_OatLeastAtMost__iff_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i))
% 0.72/0.85 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__commute_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__commute_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__UN__distrib_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__extend__simps_I5_J_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__left__absorb_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__left__idem_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Oneq__le__trans_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.85 | V_a = V_b
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Ole__neq__trans_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less,V_a),V_b))
% 0.72/0.85 | V_a = V_b
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Oless__le_2,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | V_x = V_y
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Ole__less_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_SUP1__iff_2,axiom,
% 0.72/0.85 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_SUP1__I_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__disjoint_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.85 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a)
% 0.72/0.85 | c_Finite__Set_Ofold1(V_times,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) = hAPP(hAPP(V_times,c_Finite__Set_Ofold1(V_times,V_A,T_a)),c_Finite__Set_Ofold1(V_times,V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite_0,axiom,
% 0.72/0.85 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.72/0.85 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__Collect_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__Un_0,axiom,
% 0.72/0.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__insert_1,axiom,
% 0.72/0.85 ( ~ hBOOL(c_in(hAPP(V_f,V_a),hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))),T_b))
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_Oantisym__conv2_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_Oantisym__conv1_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__Diff__if_1,axiom,
% 0.72/0.85 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))
% 0.72/0.85 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf1E_1,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_B,V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf1E_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_A,V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__surj__inj_0,axiom,
% 0.72/0.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.72/0.85 | ~ c_lessequals(V_A,hAPP(c_Set_Oimage(V_f,T_a,T_a),V_A),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__Un_1,axiom,
% 0.72/0.85 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__Un_0,axiom,
% 0.72/0.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_rev__image__eqI_0,axiom,
% 0.72/0.85 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.72/0.85 | hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_aa,T_a),V_A),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__iff_2,axiom,
% 0.72/0.85 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.72/0.85 | hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__eqI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_imageI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(hAPP(V_f,V_x),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),T_b))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__subset__conv_1,axiom,
% 0.72/0.85 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__subset__conv_0,axiom,
% 0.72/0.85 ( c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__Int_0,axiom,
% 0.72/0.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_fun__left__comm__idem__inf_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__Int_1,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__Int_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__funD_0,axiom,
% 0.72/0.85 ( ~ class_HOL_Oord(T_b)
% 0.72/0.85 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.72/0.85 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__bot__left_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__bot__right_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__bot__left_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__bot__right_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_bot__least_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Obot(T_a)
% 0.72/0.85 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 0.72/0.85 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__empty_0,axiom,
% 0.72/0.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__empty_2,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__is__empty_0,axiom,
% 0.72/0.85 ( hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.72/0.85 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.72/0.85 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__Collect__eq_0,axiom,
% 0.72/0.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.72/0.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ex__in__conv_0,axiom,
% 0.72/0.85 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ball__empty_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_P,V_x))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__iff_0,axiom,
% 0.72/0.85 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_emptyE_0,axiom,
% 0.72/0.85 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__empty_1,axiom,
% 0.72/0.85 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__empty_0,axiom,
% 0.72/0.85 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Collect__empty__eq_0,axiom,
% 0.72/0.85 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__fold1SetE_0,axiom,
% 0.72/0.85 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__Diff_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__empty__right_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__empty__left_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__cancel_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__empty_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite_OemptyI_0,axiom,
% 0.72/0.85 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__empty__right_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__empty__left_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__subsetI_0,axiom,
% 0.72/0.85 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__is__image_0,axiom,
% 0.72/0.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__empty_0,axiom,
% 0.72/0.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__empty_0,axiom,
% 0.72/0.85 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_bex__empty_0,axiom,
% 0.72/0.85 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__empty_1,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__empty_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_empty__is__image_1,axiom,
% 0.72/0.85 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__insert_0,axiom,
% 0.72/0.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))))),hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_B)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__Diff_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = V_A
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_a) = V_b
% 0.72/0.85 | ~ hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__simps_I1_J_0,axiom,
% 0.72/0.85 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__simps_I1_J_1,axiom,
% 0.72/0.85 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))
% 0.72/0.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__insert__right_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__mono_0,axiom,
% 0.72/0.85 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__greatest_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__inf__iff_2,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__infI_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_b,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__le2_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__le1_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__lower1_0,axiom,
% 0.72/0.85 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__lower2_0,axiom,
% 0.72/0.85 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__greatest_0,axiom,
% 0.72/0.85 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__subset__iff_2,axiom,
% 0.72/0.85 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_OatLeastatMost__empty__iff_1,axiom,
% 0.72/0.85 ( c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_OatLeastatMost__empty__iff_0,axiom,
% 0.72/0.85 ( c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a)
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_a),V_b)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_com_Osimps_I13_J_0,axiom,
% 0.72/0.85 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__Int__distrib_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__subset_2,axiom,
% 0.72/0.85 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__image_0,axiom,
% 0.72/0.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(c_Set_Oimage(V_g,T_c,T_b),V_A)) = hAPP(c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),T_c,T_a),V_A) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__left__idem_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__left__absorb_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__UN_0,axiom,
% 0.72/0.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Oimage(V_f,T_b,T_a),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_fun__left__comm__idem_Ofun__left__idem_0,axiom,
% 0.72/0.85 ( hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z)) = hAPP(hAPP(V_f,V_x),V_z)
% 0.72/0.85 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__Diff__insert_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__Diff__insert_1,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__UN_0,axiom,
% 0.72/0.85 hAPP(c_Set_Ovimage(V_f,T_a,T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_c,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(c_Set_Ovimage(V_f,T_a,T_b),V_B,tc_fun(T_b,tc_bool),tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UnCI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UnCI_1,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_fun__left__comm__idem_Ofun__left__comm__idem__apply_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofun__left__comm__idem(c_COMBB(V_f,V_g,T_a,tc_fun(T_b,T_b),T_c),T_c,T_b)
% 0.72/0.85 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ord_OatLeastAtMost__iff_2,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_i,c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a),T_a))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__idem_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__absorb_0,axiom,
% 0.72/0.85 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__sup__iff_1,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_y,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__sup__iff_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__supI2_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__supI1_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__supE_1,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_b,V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__supE_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | c_lessequals(V_a,V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__subset__iff_0,axiom,
% 0.72/0.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__subset__iff_1,axiom,
% 0.72/0.85 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Max__in_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__fun__eq_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_b)
% 0.72/0.85 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_xt1_I6_J_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_lessequals(V_z,V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(V_z,V_y,T_a)
% 0.72/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order__trans_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(V_y,V_z,T_a)
% 0.72/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_set__mp_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subsetD_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_equalityE_0,axiom,
% 0.72/0.85 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_set__rev__mp_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__iff_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__refl_0,axiom,
% 0.72/0.85 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__trans_0,axiom,
% 0.72/0.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__inj__on_0,axiom,
% 0.72/0.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_predicate1D_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(V_P,V_x))
% 0.72/0.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order__eq__iff_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order__eq__refl_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.72/0.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__subset_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_rev__predicate1D_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.72/0.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_rev__finite__subset_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__simps_I10_J_0,axiom,
% 0.72/0.85 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(V_f,T_c,T_b),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__mono_0,axiom,
% 0.72/0.85 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__Un_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__Diff_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Oeq__iff_2,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Oantisym_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_Oantisym__conv_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_x),V_y))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_y),V_x))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__image__set__diff_0,axiom,
% 0.72/0.85 ( hAPP(c_Set_Oimage(V_f,T_a,T_b),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Min__in_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__Collect_2,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))
% 0.72/0.85 | ~ hBOOL(hAPP(V_P,V_x))
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__Int_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__Un_0,axiom,
% 0.72/0.85 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__code_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.72/0.85 | ~ hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__code_1,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(V_f,T_a,T_b),V_A),V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_the__sym__eq__trivial_0,axiom,
% 0.72/0.85 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_Onot__less__iff__gr__or__eq_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_OneqE_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | V_x = V_y
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_Oless__linear_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.85 | V_x = V_y
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_Oantisym__conv3_0,axiom,
% 0.72/0.85 ( V_x = V_y
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_x),V_y))
% 0.72/0.85 | hBOOL(hAPP(hAPP(V_less,V_y),V_x))
% 0.72/0.85 | ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Min__le_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_IntI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__iff_2,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf1I_0,axiom,
% 0.72/0.85 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(V_B,V_x))
% 0.72/0.85 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_double__diff_0,axiom,
% 0.72/0.85 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.72/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__eqI_0,axiom,
% 0.72/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.72/0.85 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.72/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_le__eqI_1,axiom,
% 0.72/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.72/0.85 | c_lessequals(V_y,V_x,T_a)
% 0.72/0.85 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__mono_0,axiom,
% 0.72/0.85 ( c_lessequals(hAPP(c_Set_Oimage(V_f,T_a,T_b),V_A),hAPP(c_Set_Oimage(V_f,T_a,T_b),V_B),tc_fun(T_b,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__image__iff_2,axiom,
% 0.72/0.85 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.72/0.85 | c_lessequals(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_x),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__imageD_0,axiom,
% 0.72/0.85 ( c_Finite__Set_Ofinite(V_A,T_b)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__extend__simps_I3_J_1,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Max__ge_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.85 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__Un_0,axiom,
% 0.72/0.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_A)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Sup__upper_0,axiom,
% 0.72/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.85 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.72/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_com_Osimps_I12_J_0,axiom,
% 0.72/0.85 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder__linear_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_lessequals(V_y,V_x,T_a)
% 0.72/0.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_order_OatLeastAtMost__singleton_0,axiom,
% 0.72/0.85 ( c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 0.72/0.85 | ~ c_Orderings_Oorder(V_less__eq,V_less,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_comm__monoid__add_Ononempty__iff_0,axiom,
% 0.72/0.85 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(V_A,T_a)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(V_A,T_a))
% 0.72/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.72/0.85 hBOOL(c_in(V_a,hAPP(c_Set_Ovimage(V_f,T_aa,T_a),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_aa)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_UN__extend__simps_I1_J_1,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,c_COMBB(hAPP(c_Set_Oinsert(T_a),V_a),V_B,tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))
% 0.72/0.85 | V_C = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
% 0.72/0.85 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.72/0.85 | hBOOL(c_in(V_x,V_xa,T_b))
% 0.72/0.85 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Sup__binary_0,axiom,
% 0.72/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.85 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_linorder_OMax__singleton_0,axiom,
% 0.72/0.85 ( ~ c_Orderings_Olinorder(V_less__eq,V_less,T_a)
% 0.72/0.85 | c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))),T_b) = V_a ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_single__Diff__lessThan_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_subset__insert__iff_4,axiom,
% 0.72/0.85 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.72/0.85 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) = V_A
% 0.72/0.85 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Inf__binary_0,axiom,
% 0.72/0.85 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.85 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__mono_0,axiom,
% 0.72/0.85 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))
% 0.72/0.85 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__iff_2,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insertCI_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))
% 0.72/0.85 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_image__insert_0,axiom,
% 0.72/0.85 hAPP(c_Set_Oimage(V_f,T_b,T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),hAPP(c_Set_Oimage(V_f,T_b,T_a),V_B)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.72/0.85 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.72/0.85 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.72/0.85 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insertE_0,axiom,
% 0.72/0.85 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.72/0.85 | V_a = V_b
% 0.72/0.85 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_finite__insert_1,axiom,
% 0.72/0.86 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_finite__insert_0,axiom,
% 0.72/0.86 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insertI_0,axiom,
% 0.72/0.86 c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__inter__insert_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__insert__right_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__insert__left_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insertI2_0,axiom,
% 0.72/0.86 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__subset_1,axiom,
% 0.72/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__insert_0,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__iff_1,axiom,
% 0.72/0.86 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insertI1_0,axiom,
% 0.72/0.86 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insertCI_1,axiom,
% 0.72/0.86 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_fun__left__comm__idem__insert_0,axiom,
% 0.72/0.86 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__ident_0,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)
% 0.72/0.86 | hBOOL(c_in(V_x,V_B,T_a))
% 0.72/0.86 | hBOOL(c_in(V_x,V_A,T_a))
% 0.72/0.86 | V_A = V_B ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__absorb_0,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A
% 0.72/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_weaken_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_thin_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__sound_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_asm_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq12_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq2_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq12_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq1_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq_2,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq1_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq12_2,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conseq2_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_escape_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
% 0.72/0.86 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 0.72/0.86 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Comp_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bot__fun__eq_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Obot(T_b)
% 0.72/0.86 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Sup__empty_0,axiom,
% 0.72/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.86 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_singleton__conv2_0,axiom,
% 0.72/0.86 c_Collect(c_fequal(V_a,T_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__singletonD_0,axiom,
% 0.72/0.86 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 0.72/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_singleton__iff_1,axiom,
% 0.72/0.86 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.72/0.86 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 0.72/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.72/0.86 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 0.72/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Sup__singleton_0,axiom,
% 0.72/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.86 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 0.72/0.86 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_fold1Set__sing_1,axiom,
% 0.72/0.86 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Min__singleton_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.86 | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 0.72/0.86 c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.72/0.86 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.72/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.72/0.86 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.72/0.86 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Diff__insert2_0,axiom,
% 0.72/0.86 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Diff__insert_0,axiom,
% 0.72/0.86 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_fold1Set__sing_0,axiom,
% 0.72/0.86 ( V_a = V_b
% 0.72/0.86 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_contents__eq_0,axiom,
% 0.72/0.86 c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 0.72/0.86 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_singletonE_0,axiom,
% 0.72/0.86 ( V_b = V_a
% 0.72/0.86 | ~ hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_fold1__singleton_0,axiom,
% 0.72/0.86 c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Max__singleton_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.86 | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__Diff__single_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.86 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.86 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__is__Un_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Inf__singleton_0,axiom,
% 0.72/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.72/0.86 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_derivs__insertD_1,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__code_1,axiom,
% 0.72/0.86 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_cut_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_empty__not__insert_0,axiom,
% 0.72/0.86 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 0.72/0.86 | V_b = V_c
% 0.72/0.86 | V_b = V_d ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 0.72/0.86 | V_a = V_d
% 0.72/0.86 | V_b = V_d ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 0.72/0.86 | V_b = V_c
% 0.72/0.86 | V_a = V_c ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 0.72/0.86 | V_a = V_d
% 0.72/0.86 | V_a = V_c ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bot1E_0,axiom,
% 0.72/0.86 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_empty_0,axiom,
% 0.72/0.86 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__code_0,axiom,
% 0.72/0.86 ( hBOOL(hAPP(V_A,V_x))
% 0.72/0.86 | V_y = V_x
% 0.72/0.86 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__absorb2_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__not__empty_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__commute_0,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.72/0.86 hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_singleton__inject_0,axiom,
% 0.72/0.86 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 0.72/0.86 | V_a = V_b ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_derivs__insertD_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__code_2,axiom,
% 0.72/0.86 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))
% 0.72/0.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_conjecture_0,negated_conjecture,
% 0.72/0.86 ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.72/0.86 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.72/0.86 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.72/0.86 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.72/0.86 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.72/0.86 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.72/0.86 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.72/0.86 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.72/0.86 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.72/0.86 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.72/0.86 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.72/0.86 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_Orderings_Obot(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.72/0.86 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_HOL_Ominus(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.72/0.86 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.72/0.86 | ~ class_HOL_Oord(T_1) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.72/0.86 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.72/0.86 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.72/0.86 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.72/0.86 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.72/0.86 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.72/0.86 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.72/0.86 class_Orderings_Opreorder(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.72/0.86 class_Lattices_Olattice(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.72/0.86 class_Orderings_Oorder(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.72/0.86 class_Orderings_Obot(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.72/0.86 class_HOL_Ominus(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.72/0.86 class_HOL_Oord(tc_bool) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.72/0.86 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.72/0.86 ( V_X = V_Y
% 0.72/0.86 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 0.72/0.86
% 0.72/0.86 %------------------------------------------------------------------------------
% 0.72/0.86 %-------------------------------------------
% 0.72/0.86 % Proof found
% 0.72/0.86 % SZS status Theorem for theBenchmark
% 0.72/0.86 % SZS output start Proof
% 0.72/0.86 %ClaNum:694(EqnAxiom:176)
% 0.72/0.86 %VarNum:4059(SingletonVarNum:1650)
% 0.72/0.86 %MaxLitNum:7
% 0.72/0.86 %MaxfuncDepth:6
% 0.72/0.86 %SharedTerms:29
% 0.72/0.86 %goalClause: 301
% 0.72/0.86 %singleGoalClaCount:1
% 0.72/0.86 [177]P1(a1)
% 0.72/0.86 [178]P12(a1)
% 0.72/0.86 [179]P13(a1)
% 0.72/0.86 [180]P18(a1)
% 0.72/0.86 [181]P19(a1)
% 0.72/0.86 [182]P20(a1)
% 0.72/0.86 [183]P14(a1)
% 0.72/0.86 [184]P15(a1)
% 0.72/0.86 [185]P16(a1)
% 0.72/0.86 [186]P17(a1)
% 0.72/0.86 [187]P21(a1)
% 0.72/0.86 [188]P25(a1)
% 0.72/0.86 [199]E(f27(a32,f2(f31(a30,a1)),a30),f26(f2(f31(a30,a1)),a32))
% 0.72/0.86 [301]~P6(f26(f26(f19(f25(a30)),a33),f2(f31(f25(a30),a1))),f26(f26(f19(f25(a30)),a33),f2(f31(f25(a30),a1))),a30)
% 0.72/0.86 [192]P5(f19(x1921),x1921,f31(x1921,a1))
% 0.72/0.86 [189]P2(f2(f31(x1891,a1)),x1891)
% 0.72/0.86 [191]P4(x1911,x1911,f31(x1912,a1))
% 0.72/0.86 [293]~E(f10(x2931,x2932),a6)
% 0.72/0.86 [193]E(f3(x1931,x1931,f31(x1932,a1)),f2(f31(x1932,a1)))
% 0.72/0.86 [194]P4(f2(f31(x1941,a1)),x1942,f31(x1941,a1))
% 0.72/0.86 [195]E(f3(x1951,f2(f31(x1952,a1)),f31(x1952,a1)),x1951)
% 0.72/0.86 [200]E(f3(f2(f31(x2001,a1)),x2002,f31(x2001,a1)),f2(f31(x2001,a1)))
% 0.72/0.86 [196]P6(x1961,f2(f31(f25(x1962),a1)),x1962)
% 0.72/0.86 [203]E(f26(f26(f17(f31(x2031,a1)),x2032),f2(f31(x2031,a1))),x2032)
% 0.72/0.86 [211]E(f26(f26(f15(f31(x2111,a1)),x2112),f2(f31(x2111,a1))),f2(f31(x2111,a1)))
% 0.72/0.86 [296]~P26(f26(f2(f31(x2961,a1)),x2962))
% 0.72/0.86 [299]~P26(f27(x2991,f2(f31(x2992,a1)),x2992))
% 0.72/0.86 [197]E(f26(f26(f15(f31(x1971,a1)),x1972),x1972),x1972)
% 0.72/0.86 [198]E(f26(f26(f17(f31(x1981,a1)),x1982),x1982),x1982)
% 0.72/0.86 [209]E(f29(f26(f26(f19(x2091),x2092),f2(f31(x2091,a1))),x2091),x2092)
% 0.72/0.86 [210]E(f21(f26(f26(f19(x2101),x2102),f2(f31(x2101,a1))),x2101),x2102)
% 0.72/0.86 [214]E(f26(f26(f17(f31(x2141,a1)),f2(f31(x2141,a1))),x2142),x2142)
% 0.72/0.86 [215]E(f26(f26(f15(f31(x2151,a1)),f2(f31(x2151,a1))),x2152),f2(f31(x2151,a1)))
% 0.72/0.86 [268]P26(f26(f26(f26(f19(x2681),x2682),f2(f31(x2681,a1))),f18(f26(f26(f19(x2681),x2682),f2(f31(x2681,a1))),x2681)))
% 0.72/0.86 [212]P4(f3(x2121,x2122,f31(x2123,a1)),x2121,f31(x2123,a1))
% 0.72/0.86 [218]P7(x2181,f2(f31(x2182,a1)),x2182,x2183)
% 0.72/0.86 [219]E(f3(f3(x2191,x2192,f31(x2193,a1)),x2192,f31(x2193,a1)),f3(x2191,x2192,f31(x2193,a1)))
% 0.72/0.86 [201]P4(x2011,f26(f26(f19(x2012),x2013),x2011),f31(x2012,a1))
% 0.72/0.86 [205]E(f26(f20(x2051,x2052,x2053),f2(f31(x2052,a1))),f2(f31(x2053,a1)))
% 0.72/0.86 [206]E(f26(f28(x2061,x2062,x2063),f2(f31(x2063,a1))),f2(f31(x2062,a1)))
% 0.72/0.86 [224]E(f26(f26(f15(f31(x2241,a1)),x2242),f3(x2243,x2242,f31(x2241,a1))),f2(f31(x2241,a1)))
% 0.72/0.86 [243]E(f26(f26(f19(x2431),x2432),f3(x2433,f26(f26(f19(x2431),x2432),f2(f31(x2431,a1))),f31(x2431,a1))),f26(f26(f19(x2431),x2432),x2433))
% 0.72/0.86 [295]~E(f26(f26(f19(x2951),x2952),x2953),f2(f31(x2951,a1)))
% 0.72/0.86 [207]E(f26(f26(f19(x2071),x2072),f26(f26(f19(x2071),x2072),x2073)),f26(f26(f19(x2071),x2072),x2073))
% 0.72/0.86 [213]P26(f26(f26(f26(f19(x2131),x2132),x2133),x2132))
% 0.72/0.86 [216]E(f26(f26(f15(f31(x2161,a1)),x2162),x2163),f26(f26(f15(f31(x2161,a1)),x2163),x2162))
% 0.72/0.86 [217]E(f26(f26(f17(f31(x2171,a1)),x2172),x2173),f26(f26(f17(f31(x2171,a1)),x2173),x2172))
% 0.72/0.86 [223]P26(f27(x2231,f26(f26(f19(x2232),x2231),x2233),x2232))
% 0.72/0.86 [226]P4(x2261,f26(f26(f17(f31(x2262,a1)),x2263),x2261),f31(x2262,a1))
% 0.72/0.86 [227]P4(x2271,f26(f26(f17(f31(x2272,a1)),x2271),x2273),f31(x2272,a1))
% 0.72/0.86 [228]P4(f26(f26(f15(f31(x2281,a1)),x2282),x2283),x2283,f31(x2281,a1))
% 0.72/0.86 [229]P4(f26(f26(f15(f31(x2291,a1)),x2292),x2293),x2292,f31(x2291,a1))
% 0.72/0.86 [230]E(f26(f26(f17(f31(x2301,a1)),x2302),f3(x2303,x2302,f31(x2301,a1))),f26(f26(f17(f31(x2301,a1)),x2302),x2303))
% 0.72/0.86 [239]E(f26(f26(f17(f31(x2391,a1)),f3(x2392,x2393,f31(x2391,a1))),x2393),f26(f26(f17(f31(x2391,a1)),x2392),x2393))
% 0.72/0.86 [278]P6(x2781,f26(f26(f19(f25(x2782)),f16(x2783,a6,x2783,x2782)),f2(f31(f25(x2782),a1))),x2782)
% 0.72/0.86 [300]~P26(f26(f4(x3001,f2(f31(x3002,a1)),x3002),x3003))
% 0.72/0.86 [234]E(f29(f4(x2341,f26(f26(f19(x2342),x2343),f2(f31(x2342,a1))),x2342),x2342),x2343)
% 0.72/0.86 [236]E(f26(f26(f15(f31(x2361,a1)),x2362),f26(f26(f15(f31(x2361,a1)),x2362),x2363)),f26(f26(f15(f31(x2361,a1)),x2362),x2363))
% 0.72/0.86 [237]E(f26(f26(f17(f31(x2371,a1)),x2372),f26(f26(f17(f31(x2371,a1)),x2372),x2373)),f26(f26(f17(f31(x2371,a1)),x2372),x2373))
% 0.72/0.86 [240]E(f26(f26(f17(f31(x2401,a1)),f26(f26(f19(x2401),x2402),f2(f31(x2401,a1)))),x2403),f26(f26(f19(x2401),x2402),x2403))
% 0.72/0.86 [246]E(f26(f26(f17(f31(x2461,a1)),f3(x2462,x2463,f31(x2461,a1))),f26(f26(f15(f31(x2461,a1)),x2462),x2463)),x2462)
% 0.72/0.86 [260]P26(f26(f4(x2601,f26(f26(f19(x2602),x2603),f2(f31(x2602,a1))),x2602),x2603))
% 0.72/0.86 [241]E(f3(f3(x2411,x2412,f31(x2413,a1)),f26(f26(f19(x2413),x2414),f2(f31(x2413,a1))),f31(x2413,a1)),f3(x2411,f26(f26(f19(x2413),x2414),x2412),f31(x2413,a1)))
% 0.72/0.86 [245]E(f3(x2451,f5(f2(f31(x2452,a1)),x2453,x2452,f31(x2454,a1)),f31(x2454,a1)),x2451)
% 0.72/0.86 [251]E(f3(f3(x2511,f26(f26(f19(x2512),x2513),f2(f31(x2512,a1))),f31(x2512,a1)),x2514,f31(x2512,a1)),f3(x2511,f26(f26(f19(x2512),x2513),x2514),f31(x2512,a1)))
% 0.72/0.86 [259]E(f3(f26(f26(f15(f31(x2591,a1)),x2592),x2593),f26(f26(f15(f31(x2591,a1)),x2594),x2593),f31(x2591,a1)),f3(f26(f26(f15(f31(x2591,a1)),x2592),x2593),x2594,f31(x2591,a1)))
% 0.72/0.86 [281]E(f5(f2(f31(x2811,a1)),f7(f26(f19(x2812),x2813),x2814,f31(x2812,a1),f31(x2812,a1),x2811),x2811,f31(x2812,a1)),f2(f31(x2812,a1)))
% 0.72/0.86 [282]E(f5(f2(f31(x2821,a1)),f7(f26(f17(f31(x2822,a1)),x2823),x2824,f31(x2822,a1),f31(x2822,a1),x2821),x2821,f31(x2822,a1)),f2(f31(x2822,a1)))
% 0.72/0.86 [242]E(f3(f26(f26(f15(f31(x2421,a1)),x2422),x2423),x2424,f31(x2421,a1)),f26(f26(f15(f31(x2421,a1)),x2422),f3(x2423,x2424,f31(x2421,a1))))
% 0.72/0.86 [247]E(f26(f26(f17(f31(x2471,a1)),x2472),f5(f2(f31(x2473,a1)),x2474,x2473,f31(x2471,a1))),x2472)
% 0.72/0.86 [249]P4(f26(f20(x2491,x2492,x2493),f26(f28(x2491,x2492,x2493),x2494)),x2494,f31(x2493,a1))
% 0.72/0.86 [250]E(f26(f26(f19(x2501),x2502),f5(f2(f31(x2503,a1)),x2504,x2503,f31(x2501,a1))),f26(f26(f19(x2501),x2502),f2(f31(x2501,a1))))
% 0.72/0.86 [255]E(f3(f26(f26(f15(f31(x2551,a1)),x2552),x2553),f26(f26(f15(f31(x2551,a1)),x2552),x2554),f31(x2551,a1)),f26(f26(f15(f31(x2551,a1)),x2552),f3(x2553,x2554,f31(x2551,a1))))
% 0.72/0.86 [256]E(f26(f26(f17(f31(x2561,a1)),f3(x2562,x2563,f31(x2561,a1))),f3(x2562,x2564,f31(x2561,a1))),f3(x2562,f26(f26(f15(f31(x2561,a1)),x2563),x2564),f31(x2561,a1)))
% 0.72/0.86 [257]E(f26(f26(f15(f31(x2571,a1)),f3(x2572,x2573,f31(x2571,a1))),f3(x2572,x2574,f31(x2571,a1))),f3(x2572,f26(f26(f17(f31(x2571,a1)),x2573),x2574),f31(x2571,a1)))
% 0.72/0.86 [258]E(f26(f26(f17(f31(x2581,a1)),f3(x2582,x2583,f31(x2581,a1))),f3(x2584,x2583,f31(x2581,a1))),f3(f26(f26(f17(f31(x2581,a1)),x2582),x2584),x2583,f31(x2581,a1)))
% 0.72/0.86 [220]E(f26(f26(f19(x2201),x2202),f26(f26(f19(x2201),x2203),x2204)),f26(f26(f19(x2201),x2203),f26(f26(f19(x2201),x2202),x2204)))
% 0.72/0.86 [261]E(f3(f26(f26(f15(f31(x2611,a1)),x2612),x2613),f26(f26(f15(f31(x2611,a1)),x2614),x2613),f31(x2611,a1)),f26(f26(f15(f31(x2611,a1)),f3(x2612,x2614,f31(x2611,a1))),x2613))
% 0.72/0.86 [271]E(f26(f26(f17(f31(x2711,a1)),f5(f2(f31(x2712,a1)),x2713,x2712,f31(x2711,a1))),x2714),x2714)
% 0.72/0.86 [238]E(f26(f26(f17(f31(x2381,a1)),x2382),f26(f26(f19(x2381),x2383),x2384)),f26(f26(f19(x2381),x2383),f26(f26(f17(f31(x2381,a1)),x2382),x2384)))
% 0.72/0.86 [244]E(f26(f26(f17(f31(x2441,a1)),f26(f26(f19(x2441),x2442),x2443)),x2444),f26(f26(f19(x2441),x2442),f26(f26(f17(f31(x2441,a1)),x2443),x2444)))
% 0.72/0.86 [248]E(f26(f26(f15(f31(x2481,a1)),f26(f26(f19(x2481),x2482),x2483)),f26(f26(f19(x2481),x2482),x2484)),f26(f26(f19(x2481),x2482),f26(f26(f15(f31(x2481,a1)),x2483),x2484)))
% 0.72/0.86 [253]E(f26(f26(f15(f31(x2531,a1)),x2532),f26(f26(f15(f31(x2531,a1)),x2533),x2534)),f26(f26(f15(f31(x2531,a1)),x2533),f26(f26(f15(f31(x2531,a1)),x2532),x2534)))
% 0.72/0.86 [254]E(f26(f26(f17(f31(x2541,a1)),x2542),f26(f26(f17(f31(x2541,a1)),x2543),x2544)),f26(f26(f17(f31(x2541,a1)),x2543),f26(f26(f17(f31(x2541,a1)),x2542),x2544)))
% 0.72/0.86 [269]E(f26(f26(f17(f31(x2691,a1)),f26(f26(f15(f31(x2691,a1)),x2692),x2693)),f26(f26(f15(f31(x2691,a1)),x2692),x2694)),f26(f26(f15(f31(x2691,a1)),x2692),f26(f26(f17(f31(x2691,a1)),x2693),x2694)))
% 0.72/0.86 [270]E(f26(f26(f15(f31(x2701,a1)),f26(f26(f17(f31(x2701,a1)),x2702),x2703)),f26(f26(f17(f31(x2701,a1)),x2702),x2704)),f26(f26(f17(f31(x2701,a1)),x2702),f26(f26(f15(f31(x2701,a1)),x2703),x2704)))
% 0.72/0.86 [275]P26(f27(x2751,f26(f28(x2752,x2753,x2754),f26(f26(f19(x2754),f26(x2752,x2751)),f2(f31(x2754,a1)))),x2753))
% 0.72/0.86 [291]E(f26(f26(f17(f31(x2911,a1)),f26(f26(f17(f31(x2911,a1)),f26(f26(f15(f31(x2911,a1)),x2912),x2913)),f26(f26(f15(f31(x2911,a1)),x2913),x2914))),f26(f26(f15(f31(x2911,a1)),x2914),x2912)),f26(f26(f15(f31(x2911,a1)),f26(f26(f15(f31(x2911,a1)),f26(f26(f17(f31(x2911,a1)),x2912),x2913)),f26(f26(f17(f31(x2911,a1)),x2913),x2914))),f26(f26(f17(f31(x2911,a1)),x2914),x2912)))
% 0.72/0.86 [263]E(f26(f26(f15(f31(x2631,a1)),f26(f26(f15(f31(x2631,a1)),x2632),x2633)),x2634),f26(f26(f15(f31(x2631,a1)),x2632),f26(f26(f15(f31(x2631,a1)),x2633),x2634)))
% 0.72/0.86 [264]E(f26(f26(f17(f31(x2641,a1)),f26(f26(f17(f31(x2641,a1)),x2642),x2643)),x2644),f26(f26(f17(f31(x2641,a1)),x2642),f26(f26(f17(f31(x2641,a1)),x2643),x2644)))
% 0.72/0.86 [272]E(f26(f26(f17(f31(x2721,a1)),f26(f26(f15(f31(x2721,a1)),x2722),x2723)),f26(f26(f15(f31(x2721,a1)),x2724),x2723)),f26(f26(f15(f31(x2721,a1)),f26(f26(f17(f31(x2721,a1)),x2722),x2724)),x2723))
% 0.72/0.86 [273]E(f26(f26(f15(f31(x2731,a1)),f26(f26(f17(f31(x2731,a1)),x2732),x2733)),f26(f26(f17(f31(x2731,a1)),x2734),x2733)),f26(f26(f17(f31(x2731,a1)),f26(f26(f15(f31(x2731,a1)),x2732),x2734)),x2733))
% 0.72/0.86 [252]E(f3(f26(f28(x2521,x2522,x2523),x2524),f26(f28(x2521,x2522,x2523),x2525),f31(x2522,a1)),f26(f28(x2521,x2522,x2523),f3(x2524,x2525,f31(x2523,a1))))
% 0.72/0.86 [262]E(f5(f26(f26(f19(x2621),x2622),x2623),x2624,x2621,f31(x2625,a1)),f26(f26(f17(f31(x2625,a1)),f26(x2624,x2622)),f5(x2623,x2624,x2621,f31(x2625,a1))))
% 0.72/0.86 [274]P4(f3(f26(f20(x2741,x2742,x2743),x2744),f26(f20(x2741,x2742,x2743),x2745),f31(x2743,a1)),f26(f20(x2741,x2742,x2743),f3(x2744,x2745,f31(x2742,a1))),f31(x2743,a1))
% 0.72/0.86 [277]E(f26(f26(f17(f31(x2771,a1)),f5(x2772,x2773,x2774,f31(x2771,a1))),f5(x2775,x2773,x2774,f31(x2771,a1))),f5(f26(f26(f17(f31(x2774,a1)),x2772),x2775),x2773,x2774,f31(x2771,a1)))
% 0.72/0.86 [289]E(f5(x2891,f7(f26(f15(f31(x2892,a1)),x2893),x2894,f31(x2892,a1),f31(x2892,a1),x2895),x2895,f31(x2892,a1)),f26(f26(f15(f31(x2892,a1)),x2893),f5(x2891,x2894,x2895,f31(x2892,a1))))
% 0.72/0.86 [235]E(f26(f20(x2351,x2352,x2353),f26(f26(f19(x2352),x2354),x2355)),f26(f26(f19(x2353),f26(x2351,x2354)),f26(f20(x2351,x2352,x2353),x2355)))
% 0.72/0.86 [276]E(f26(f26(f17(f31(x2761,a1)),f26(f28(x2762,x2761,x2763),f26(f26(f19(x2763),x2764),f2(f31(x2763,a1))))),f26(f28(x2762,x2761,x2763),x2765)),f26(f28(x2762,x2761,x2763),f26(f26(f19(x2763),x2764),x2765)))
% 0.72/0.86 [265]E(f26(f26(f17(f31(x2651,a1)),f26(f20(x2652,x2653,x2651),x2654)),f26(f20(x2652,x2653,x2651),x2655)),f26(f20(x2652,x2653,x2651),f26(f26(f17(f31(x2653,a1)),x2654),x2655)))
% 0.72/0.86 [266]E(f26(f26(f15(f31(x2661,a1)),f26(f28(x2662,x2661,x2663),x2664)),f26(f28(x2662,x2661,x2663),x2665)),f26(f28(x2662,x2661,x2663),f26(f26(f15(f31(x2663,a1)),x2664),x2665)))
% 0.72/0.86 [267]E(f26(f26(f17(f31(x2671,a1)),f26(f28(x2672,x2671,x2673),x2674)),f26(f28(x2672,x2671,x2673),x2675)),f26(f28(x2672,x2671,x2673),f26(f26(f17(f31(x2673,a1)),x2674),x2675)))
% 0.72/0.86 [280]P4(f26(f20(x2801,x2802,x2803),f26(f26(f15(f31(x2802,a1)),x2804),x2805)),f26(f26(f15(f31(x2803,a1)),f26(f20(x2801,x2802,x2803),x2804)),f26(f20(x2801,x2802,x2803),x2805)),f31(x2803,a1))
% 0.72/0.86 [279]E(f26(f7(x2791,x2792,x2793,x2794,x2795),x2796),f26(x2791,f26(x2792,x2796)))
% 0.72/0.86 [283]E(f5(f26(f20(x2831,x2832,x2833),x2834),x2835,x2833,f31(x2836,a1)),f5(x2834,f7(x2835,x2831,x2833,f31(x2836,a1),x2832),x2832,f31(x2836,a1)))
% 0.72/0.86 [284]E(f5(x2841,f7(x2842,x2843,x2844,f31(x2845,a1),x2846),x2846,f31(x2845,a1)),f5(f26(f20(x2843,x2846,x2844),x2841),x2842,x2844,f31(x2845,a1)))
% 0.72/0.86 [285]E(f5(x2851,f7(f20(x2852,x2853,x2854),x2855,f31(x2853,a1),f31(x2854,a1),x2856),x2856,f31(x2854,a1)),f26(f20(x2852,x2853,x2854),f5(x2851,x2855,x2856,f31(x2853,a1))))
% 0.72/0.86 [286]E(f5(x2861,f7(f28(x2862,x2863,x2864),x2865,f31(x2864,a1),f31(x2863,a1),x2866),x2866,f31(x2863,a1)),f26(f28(x2862,x2863,x2864),f5(x2861,x2865,x2866,f31(x2864,a1))))
% 0.72/0.86 [290]E(f26(f20(x2901,x2902,x2903),f26(f20(x2904,x2905,x2902),x2906)),f26(f20(f7(x2901,x2904,x2902,x2903,x2905),x2905,x2903),x2906))
% 0.72/0.86 [324]~P19(x3241)+P5(f15(x3241),x3241,x3241)
% 0.72/0.86 [325]~P18(x3251)+P5(f17(x3251),x3251,x3251)
% 0.72/0.86 [328]~P21(x3281)+E(f26(f2(f31(a30,x3281)),a32),f2(x3281))
% 0.72/0.86 [330]~P1(x3301)+E(f11(f2(f31(x3301,a1)),x3301),f2(x3301))
% 0.72/0.86 [302]~P15(x3022)+P2(x3021,x3022)
% 0.72/0.86 [320]~P20(x3202)+P4(x3201,x3201,x3202)
% 0.72/0.86 [321]~P25(x3212)+P4(x3211,x3211,x3212)
% 0.72/0.86 [303]~P1(x3032)+P1(f31(x3031,x3032))
% 0.72/0.86 [304]~P12(x3042)+P12(f31(x3041,x3042))
% 0.72/0.86 [305]~P13(x3052)+P13(f31(x3051,x3052))
% 0.72/0.86 [306]~P12(x3062)+P18(f31(x3061,x3062))
% 0.72/0.86 [307]~P12(x3072)+P19(f31(x3071,x3072))
% 0.72/0.86 [308]~P20(x3082)+P20(f31(x3081,x3082))
% 0.72/0.86 [309]~P14(x3092)+P14(f31(x3091,x3092))
% 0.72/0.86 [310]~P16(x3102)+P16(f31(x3101,x3102))
% 0.72/0.86 [311]~P17(x3112)+P17(f31(x3111,x3112))
% 0.72/0.86 [312]~P21(x3122)+P21(f31(x3121,x3122))
% 0.72/0.86 [313]~P25(x3132)+P25(f31(x3131,x3132))
% 0.72/0.86 [323]~P21(x3231)+P4(f2(x3231),x3232,x3231)
% 0.72/0.86 [322]~P17(x3221)+E(f26(f26(f17(x3221),x3222),f2(x3221)),x3222)
% 0.72/0.86 [326]~P17(x3261)+E(f26(f26(f15(x3261),x3262),f2(x3261)),f2(x3261))
% 0.72/0.86 [353]E(f26(f26(f19(x3532),f8(x3531,x3532)),f9(x3531,x3532)),x3531)+E(x3531,f2(f31(x3532,a1)))
% 0.72/0.86 [401]~P4(x4011,f2(f31(x4012,a1)),f31(x4012,a1))+E(x4011,f2(f31(x4012,a1)))
% 0.72/0.86 [492]E(x4921,f2(f31(x4922,a1)))+~P26(f27(f8(x4921,x4922),f9(x4921,x4922),x4922))
% 0.72/0.86 [318]~P19(x3181)+E(f26(f26(f15(x3181),x3182),x3182),x3182)
% 0.72/0.86 [319]~P18(x3191)+E(f26(f26(f17(x3191),x3192),x3192),x3192)
% 0.72/0.86 [327]~P17(x3271)+E(f26(f26(f17(x3271),f2(x3271)),x3272),x3272)
% 0.72/0.86 [329]~P17(x3291)+E(f26(f26(f15(x3291),f2(x3291)),x3292),f2(x3291))
% 0.72/0.86 [366]~P20(x3662)+E(f23(x3661,x3661,x3662),f26(f26(f19(x3662),x3661),f2(f31(x3662,a1))))
% 0.72/0.86 [511]~P20(x5111)+E(f3(f26(f26(f19(x5111),x5112),f2(f31(x5111,a1))),f22(x5112,x5111),f31(x5111,a1)),f26(f26(f19(x5111),x5112),f2(f31(x5111,a1))))
% 0.72/0.86 [397]~P24(x3971)+E(f13(f26(f26(f19(x3971),x3972),f2(f31(x3971,a1))),x3971),x3972)
% 0.72/0.86 [398]~P1(x3981)+E(f12(f26(f26(f19(x3981),x3982),f2(f31(x3981,a1))),x3981),x3982)
% 0.72/0.86 [399]~P1(x3991)+E(f11(f26(f26(f19(x3991),x3992),f2(f31(x3991,a1))),x3991),x3992)
% 0.72/0.86 [400]~P24(x4001)+E(f14(f26(f26(f19(x4001),x4002),f2(f31(x4001,a1))),x4001),x4002)
% 0.72/0.86 [342]~P6(x3421,x3422,x3423)+P9(x3421,x3422,x3423)
% 0.72/0.86 [352]~P26(f26(x3522,x3521))+P26(f27(x3521,x3522,x3523))
% 0.72/0.86 [381]P26(f26(x3811,x3812))+~P26(f27(x3812,x3811,x3813))
% 0.72/0.86 [331]~P26(f26(x3311,x3313))+~E(x3311,f2(f31(x3312,a1)))
% 0.72/0.86 [332]~P26(f26(x3322,x3323))+~E(f2(f31(x3321,a1)),x3322)
% 0.72/0.86 [373]~P2(x3731,x3733)+P2(f3(x3731,x3732,f31(x3733,a1)),x3733)
% 0.72/0.86 [374]P6(x3741,x3742,x3743)+~P4(x3742,x3741,f31(f25(x3743),a1))
% 0.72/0.86 [473]~P20(x4731)+E(f26(f26(f15(f31(x4731,a1)),f22(x4732,x4731)),f23(x4732,x4733,x4731)),f2(f31(x4731,a1)))
% 0.72/0.86 [529]P26(f27(x5292,x5293,x5291))+E(f3(f26(f26(f19(x5291),x5292),x5293),f26(f26(f19(x5291),x5292),f2(f31(x5291,a1))),f31(x5291,a1)),x5293)
% 0.72/0.86 [336]~P12(x3361)+E(f26(f26(f15(x3361),x3362),x3363),f26(f26(f15(x3361),x3363),x3362))
% 0.72/0.86 [337]~P19(x3371)+E(f26(f26(f15(x3371),x3372),x3373),f26(f26(f15(x3371),x3373),x3372))
% 0.72/0.86 [338]~P12(x3381)+E(f26(f26(f17(x3381),x3382),x3383),f26(f26(f17(x3381),x3383),x3382))
% 0.72/0.86 [339]~P18(x3391)+E(f26(f26(f17(x3391),x3392),x3393),f26(f26(f17(x3391),x3393),x3392))
% 0.72/0.86 [341]~P2(x3413,x3411)+P2(f26(f26(f19(x3411),x3412),x3413),x3411)
% 0.72/0.86 [358]~P12(x3582)+P4(x3581,f26(f26(f17(x3582),x3583),x3581),x3582)
% 0.72/0.86 [359]~P18(x3592)+P4(x3591,f26(f26(f17(x3592),x3593),x3591),x3592)
% 0.72/0.86 [360]~P12(x3602)+P4(x3601,f26(f26(f17(x3602),x3601),x3603),x3602)
% 0.72/0.86 [361]~P18(x3612)+P4(x3611,f26(f26(f17(x3612),x3611),x3613),x3612)
% 0.72/0.86 [362]~P12(x3621)+P4(f26(f26(f15(x3621),x3622),x3623),x3623,x3621)
% 0.72/0.86 [363]~P19(x3631)+P4(f26(f26(f15(x3631),x3632),x3633),x3633,x3631)
% 0.72/0.86 [364]~P12(x3641)+P4(f26(f26(f15(x3641),x3642),x3643),x3642,x3641)
% 0.72/0.86 [365]~P19(x3651)+P4(f26(f26(f15(x3651),x3652),x3653),x3652,x3651)
% 0.72/0.86 [375]P2(x3751,x3752)+~P2(f26(f26(f19(x3752),x3753),x3751),x3752)
% 0.72/0.86 [396]~P26(f27(x3962,x3963,x3961))+E(f26(f26(f19(x3961),x3962),x3963),x3963)
% 0.72/0.86 [433]~P14(x4333)+E(f3(f26(x4331,a32),f26(x4332,a32),x4333),f26(f3(x4331,x4332,f31(a30,x4333)),a32))
% 0.72/0.86 [471]E(x4711,x4712)+~E(f26(f26(f19(x4713),x4711),f2(f31(x4713,a1))),f26(f26(f19(x4713),x4712),f2(f31(x4713,a1))))
% 0.72/0.86 [510]~P4(x5102,x5103,f31(x5101,a1))+E(f26(f26(f17(f31(x5101,a1)),x5102),f3(x5103,x5102,f31(x5101,a1))),x5103)
% 0.72/0.86 [589]~P26(f27(x5892,x5893,x5891))+E(f26(f26(f19(x5891),x5892),f3(x5893,f26(f26(f19(x5891),x5892),f2(f31(x5891,a1))),f31(x5891,a1))),x5893)
% 0.72/0.86 [356]~P12(x3561)+E(f26(f26(f15(x3561),x3562),f26(f26(f17(x3561),x3562),x3563)),x3562)
% 0.72/0.86 [357]~P12(x3571)+E(f26(f26(f17(x3571),x3572),f26(f26(f15(x3571),x3572),x3573)),x3572)
% 0.72/0.86 [378]~P1(x3781)+E(f12(f26(f26(f19(x3781),x3782),x3783),x3781),f26(f26(f15(x3781),x3782),f12(x3783,x3781)))
% 0.72/0.86 [379]~P1(x3791)+E(f11(f26(f26(f19(x3791),x3792),x3793),x3791),f26(f26(f17(x3791),x3792),f11(x3793,x3791)))
% 0.72/0.86 [383]~P12(x3831)+E(f26(f26(f15(x3831),x3832),f26(f26(f15(x3831),x3832),x3833)),f26(f26(f15(x3831),x3832),x3833))
% 0.72/0.86 [384]~P19(x3841)+E(f26(f26(f15(x3841),x3842),f26(f26(f15(x3841),x3842),x3843)),f26(f26(f15(x3841),x3842),x3843))
% 0.72/0.86 [385]~P12(x3851)+E(f26(f26(f17(x3851),x3852),f26(f26(f17(x3851),x3852),x3853)),f26(f26(f17(x3851),x3852),x3853))
% 0.72/0.86 [386]~P18(x3861)+E(f26(f26(f17(x3861),x3862),f26(f26(f17(x3861),x3862),x3863)),f26(f26(f17(x3861),x3862),x3863))
% 0.72/0.86 [429]~P4(x4293,x4292,f31(x4291,a1))+E(f26(f26(f15(f31(x4291,a1)),x4292),x4293),x4293)
% 0.72/0.86 [430]~P4(x4302,x4303,f31(x4301,a1))+E(f26(f26(f15(f31(x4301,a1)),x4302),x4303),x4302)
% 0.72/0.86 [431]~P4(x4312,x4313,f31(x4311,a1))+E(f26(f26(f17(f31(x4311,a1)),x4312),x4313),x4313)
% 0.72/0.86 [432]~P4(x4323,x4322,f31(x4321,a1))+E(f26(f26(f17(f31(x4321,a1)),x4322),x4323),x4322)
% 0.72/0.86 [442]E(x4421,f2(f31(x4422,a1)))+~E(f26(f26(f17(f31(x4422,a1)),x4423),x4421),f2(f31(x4422,a1)))
% 0.72/0.86 [443]E(x4431,f2(f31(x4432,a1)))+~E(f26(f26(f17(f31(x4432,a1)),x4431),x4433),f2(f31(x4432,a1)))
% 0.72/0.86 [453]P4(x4531,x4532,f31(x4533,a1))+~E(f26(f26(f17(f31(x4533,a1)),x4531),x4532),x4532)
% 0.72/0.86 [469]~P2(x4693,x4691)+P2(f26(f26(f15(f31(x4691,a1)),x4692),x4693),x4691)
% 0.72/0.86 [470]~P2(x4702,x4701)+P2(f26(f26(f15(f31(x4701,a1)),x4702),x4703),x4701)
% 0.72/0.86 [486]E(f3(x4861,x4862,f31(x4863,a1)),x4861)+~E(f26(f26(f15(f31(x4863,a1)),x4861),x4862),f2(f31(x4863,a1)))
% 0.72/0.86 [523]P2(x5231,x5232)+~P2(f26(f26(f17(f31(x5232,a1)),x5233),x5231),x5232)
% 0.72/0.86 [524]P2(x5241,x5242)+~P2(f26(f26(f17(f31(x5242,a1)),x5241),x5243),x5242)
% 0.72/0.86 [569]E(x5691,x5692)+~P26(f26(f26(f26(f19(x5693),x5691),f2(f31(x5693,a1))),x5692))
% 0.72/0.86 [602]E(x6021,x6022)+~P26(f27(x6021,f26(f26(f19(x6023),x6022),f2(f31(x6023,a1))),x6023))
% 0.72/0.86 [616]E(x6161,f18(f26(f26(f19(x6162),x6163),f2(f31(x6162,a1))),x6162))+~P26(f26(f26(f26(f19(x6162),x6163),f2(f31(x6162,a1))),x6161))
% 0.72/0.86 [512]~P12(x5121)+E(f26(f26(f26(f15(f31(a30,x5121)),x5122),x5123),a32),f26(f26(f15(x5121),f26(x5122,a32)),f26(x5123,a32)))
% 0.72/0.86 [513]~P12(x5131)+E(f26(f26(f26(f17(f31(a30,x5131)),x5132),x5133),a32),f26(f26(f17(x5131),f26(x5132,a32)),f26(x5133,a32)))
% 0.72/0.86 [536]~P1(x5361)+E(f12(f26(f26(f19(x5361),x5362),f26(f26(f19(x5361),x5363),f2(f31(x5361,a1)))),x5361),f26(f26(f15(x5361),x5362),x5363))
% 0.72/0.86 [537]~P1(x5371)+E(f11(f26(f26(f19(x5371),x5372),f26(f26(f19(x5371),x5373),f2(f31(x5371,a1)))),x5371),f26(f26(f17(x5371),x5372),x5373))
% 0.72/0.86 [315]E(x3151,x3152)+~E(f10(x3153,x3151),f10(x3154,x3152))
% 0.72/0.86 [316]E(x3161,x3162)+~E(f10(x3161,x3163),f10(x3162,x3164))
% 0.72/0.86 [335]~P8(x3351,x3354)+E(f26(f26(x3351,x3352),x3353),f26(f26(x3351,x3353),x3352))
% 0.72/0.86 [367]~P10(x3671,x3673,x3674)+P26(f26(f26(x3671,x3672),x3672))
% 0.72/0.86 [387]~P10(x3871,x3872,x3873)+~P26(f26(f26(x3872,x3874),x3874))
% 0.72/0.86 [389]~P11(x3891,x3892,x3893)+~P26(f26(f26(x3892,x3894),x3894))
% 0.72/0.86 [425]~E(f26(f20(x4253,x4252,x4254),x4251),f2(f31(x4254,a1)))+E(x4251,f2(f31(x4252,a1)))
% 0.72/0.86 [434]~P2(x4344,x4342)+P2(f26(f20(x4341,x4342,x4343),x4344),x4343)
% 0.72/0.86 [514]~P26(f27(x5142,x5144,x5141))+E(f3(f26(f26(f19(x5141),x5142),x5143),x5144,f31(x5141,a1)),f3(x5143,x5144,f31(x5141,a1)))
% 0.72/0.86 [551]~P2(f3(x5511,x5514,f31(x5512,a1)),x5512)+P2(f3(x5511,f26(f26(f19(x5512),x5513),x5514),f31(x5512,a1)),x5512)
% 0.72/0.86 [573]~P2(f3(x5731,f26(f26(f19(x5733),x5734),x5732),f31(x5733,a1)),x5733)+P2(f3(x5731,x5732,f31(x5733,a1)),x5733)
% 0.72/0.86 [452]~P4(x4521,x4524,f31(x4522,a1))+P4(x4521,f26(f26(f19(x4522),x4523),x4524),f31(x4522,a1))
% 0.72/0.86 [491]P4(x4911,x4912,f31(x4913,a1))+~P4(f26(f26(f19(x4913),x4914),x4911),x4912,f31(x4913,a1))
% 0.72/0.86 [497]P26(f27(x4971,x4972,x4973))+~P4(f26(f26(f19(x4973),x4971),x4974),x4972,f31(x4973,a1))
% 0.72/0.86 [499]~P4(x4993,x4994,f31(x4991,a1))+P4(f26(f26(f19(x4991),x4992),x4993),f26(f26(f19(x4991),x4992),x4994),f31(x4991,a1))
% 0.72/0.86 [515]~P10(x5151,x5154,x5153)+E(f24(x5151,x5152,x5152,x5153),f26(f26(f19(x5153),x5152),f2(f31(x5153,a1))))
% 0.72/0.86 [528]P26(f27(x5282,x5284,x5281))+E(f3(f26(f26(f19(x5281),x5282),x5283),x5284,f31(x5281,a1)),f26(f26(f19(x5281),x5282),f3(x5283,x5284,f31(x5281,a1))))
% 0.72/0.86 [577]P26(f27(x5771,x5772,x5773))+~P26(f27(x5771,f3(x5772,x5774,f31(x5773,a1)),x5773))
% 0.72/0.86 [603]~P26(f27(x6031,x6032,x6033))+~P26(f27(x6031,f3(x6034,x6032,f31(x6033,a1)),x6033))
% 0.72/0.86 [437]~P26(f26(x4373,x4374))+P26(f26(f26(f26(f19(x4371),x4372),x4373),x4374))
% 0.72/0.86 [462]~P12(x4621)+E(f26(f26(f15(x4621),x4622),f26(f26(f15(x4621),x4623),x4624)),f26(f26(f15(x4621),x4623),f26(f26(f15(x4621),x4622),x4624)))
% 0.72/0.86 [463]~P19(x4631)+E(f26(f26(f15(x4631),x4632),f26(f26(f15(x4631),x4633),x4634)),f26(f26(f15(x4631),x4633),f26(f26(f15(x4631),x4632),x4634)))
% 0.72/0.86 [464]~P12(x4641)+E(f26(f26(f17(x4641),x4642),f26(f26(f17(x4641),x4643),x4644)),f26(f26(f17(x4641),x4643),f26(f26(f17(x4641),x4642),x4644)))
% 0.72/0.86 [465]~P18(x4651)+E(f26(f26(f17(x4651),x4652),f26(f26(f17(x4651),x4653),x4654)),f26(f26(f17(x4651),x4653),f26(f26(f17(x4651),x4652),x4654)))
% 0.72/0.86 [494]P6(x4941,x4942,x4943)+~P6(x4941,f26(f26(f19(f25(x4943)),x4944),x4942),x4943)
% 0.72/0.86 [527]~P26(f27(x5271,x5274,x5272))+P26(f27(x5271,f26(f26(f19(x5272),x5273),x5274),x5272))
% 0.72/0.86 [530]P26(f27(x5303,x5302,x5301))+E(f26(f26(f15(f31(x5301,a1)),x5302),f26(f26(f19(x5301),x5303),x5304)),f26(f26(f15(f31(x5301,a1)),x5302),x5304))
% 0.72/0.86 [531]~P13(x5311)+E(f26(f26(f17(x5311),f26(f26(f15(x5311),x5312),x5313)),f26(f26(f15(x5311),x5312),x5314)),f26(f26(f15(x5311),x5312),f26(f26(f17(x5311),x5313),x5314)))
% 0.72/0.86 [532]~P13(x5321)+E(f26(f26(f15(x5321),f26(f26(f17(x5321),x5322),x5323)),f26(f26(f17(x5321),x5322),x5324)),f26(f26(f17(x5321),x5322),f26(f26(f15(x5321),x5323),x5324)))
% 0.72/0.86 [556]P4(x5561,x5562,f31(x5563,a1))+~P4(x5561,f26(f26(f15(f31(x5563,a1)),x5564),x5562),f31(x5563,a1))
% 0.72/0.86 [557]P4(x5571,x5572,f31(x5573,a1))+~P4(x5571,f26(f26(f15(f31(x5573,a1)),x5572),x5574),f31(x5573,a1))
% 0.72/0.86 [558]P4(x5581,x5582,f31(x5583,a1))+~P4(f26(f26(f17(f31(x5583,a1)),x5584),x5581),x5582,f31(x5583,a1))
% 0.72/0.86 [559]P4(x5591,x5592,f31(x5593,a1))+~P4(f26(f26(f17(f31(x5593,a1)),x5591),x5594),x5592,f31(x5593,a1))
% 0.72/0.86 [565]~P6(x5651,f26(f26(f19(f25(x5652)),x5653),x5654),x5652)+P6(x5651,f26(f26(f19(f25(x5652)),x5653),f2(f31(f25(x5652),a1))),x5652)
% 0.72/0.86 [572]~P4(f3(x5721,x5723,f31(x5722,a1)),x5724,f31(x5722,a1))+P4(x5721,f26(f26(f17(f31(x5722,a1)),x5723),x5724),f31(x5722,a1))
% 0.72/0.86 [591]P4(f3(x5911,x5912,f31(x5913,a1)),x5914,f31(x5913,a1))+~P4(x5911,f26(f26(f17(f31(x5913,a1)),x5912),x5914),f31(x5913,a1))
% 0.72/0.86 [623]~P12(x6231)+P4(f26(f26(f17(x6231),x6232),f26(f26(f15(x6231),x6233),x6234)),f26(f26(f15(x6231),f26(f26(f17(x6231),x6232),x6233)),f26(f26(f17(x6231),x6232),x6234)),x6231)
% 0.72/0.86 [624]~P12(x6241)+P4(f26(f26(f17(x6241),f26(f26(f15(x6241),x6242),x6243)),f26(f26(f15(x6241),x6242),x6244)),f26(f26(f15(x6241),x6242),f26(f26(f17(x6241),x6243),x6244)),x6241)
% 0.72/0.86 [670]P6(x6702,f26(f26(f19(f25(a30)),f16(x6701,x6704,x6703,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6701,f34(x6702,x6701,x6703,x6704)),f47(x6702,x6701,x6703,x6704)))
% 0.72/0.86 [671]P6(x6712,f26(f26(f19(f25(a30)),f16(x6711,x6714,x6713,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6711,f35(x6712,x6711,x6713,x6714)),f45(x6712,x6711,x6713,x6714)))
% 0.72/0.86 [672]P6(x6722,f26(f26(f19(f25(a30)),f16(x6721,x6724,x6723,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6721,f36(x6722,x6721,x6723,x6724)),f44(x6722,x6721,x6723,x6724)))
% 0.72/0.86 [506]~P12(x5061)+E(f26(f26(f15(x5061),f26(f26(f15(x5061),x5062),x5063)),x5064),f26(f26(f15(x5061),x5062),f26(f26(f15(x5061),x5063),x5064)))
% 0.72/0.86 [507]~P19(x5071)+E(f26(f26(f15(x5071),f26(f26(f15(x5071),x5072),x5073)),x5074),f26(f26(f15(x5071),x5072),f26(f26(f15(x5071),x5073),x5074)))
% 0.72/0.86 [508]~P12(x5081)+E(f26(f26(f17(x5081),f26(f26(f17(x5081),x5082),x5083)),x5084),f26(f26(f17(x5081),x5082),f26(f26(f17(x5081),x5083),x5084)))
% 0.72/0.86 [509]~P18(x5091)+E(f26(f26(f17(x5091),f26(f26(f17(x5091),x5092),x5093)),x5094),f26(f26(f17(x5091),x5092),f26(f26(f17(x5091),x5093),x5094)))
% 0.72/0.86 [538]P26(f27(x5382,x5384,x5381))+E(f26(f26(f15(f31(x5381,a1)),f26(f26(f19(x5381),x5382),x5383)),x5384),f26(f26(f15(f31(x5381,a1)),x5383),x5384))
% 0.72/0.86 [548]~P13(x5481)+E(f26(f26(f17(x5481),f26(f26(f15(x5481),x5482),x5483)),f26(f26(f15(x5481),x5484),x5483)),f26(f26(f15(x5481),f26(f26(f17(x5481),x5482),x5484)),x5483))
% 0.72/0.86 [549]~P13(x5491)+E(f26(f26(f15(x5491),f26(f26(f17(x5491),x5492),x5493)),f26(f26(f17(x5491),x5494),x5493)),f26(f26(f17(x5491),f26(f26(f15(x5491),x5492),x5494)),x5493))
% 0.72/0.86 [560]~P26(f26(x5603,x5604))+P26(f26(f26(f26(f17(f31(x5601,a1)),x5602),x5603),x5604))
% 0.72/0.86 [561]~P26(f26(x5612,x5614))+P26(f26(f26(f26(f17(f31(x5611,a1)),x5612),x5613),x5614))
% 0.72/0.86 [575]~P26(f27(x5753,x5752,x5751))+E(f26(f26(f15(f31(x5751,a1)),x5752),f26(f26(f19(x5751),x5753),x5754)),f26(f26(f19(x5751),x5753),f26(f26(f15(f31(x5751,a1)),x5752),x5754)))
% 0.72/0.86 [609]~P26(f27(x6091,x6094,x6092))+P26(f27(x6091,f26(f26(f17(f31(x6092,a1)),x6093),x6094),x6092))
% 0.72/0.86 [610]~P26(f27(x6101,x6103,x6102))+P26(f27(x6101,f26(f26(f17(f31(x6102,a1)),x6103),x6104),x6102))
% 0.72/0.86 [611]~P26(f27(x6112,x6114,x6111))+E(f26(f26(f15(f31(x6111,a1)),f26(f26(f19(x6111),x6112),x6113)),x6114),f26(f26(f19(x6111),x6112),f26(f26(f15(f31(x6111,a1)),x6113),x6114)))
% 0.72/0.86 [617]P26(f26(x6171,x6172))+~P26(f26(f26(f26(f15(f31(x6173,a1)),x6174),x6171),x6172))
% 0.72/0.86 [618]P26(f26(x6181,x6182))+~P26(f26(f26(f26(f15(f31(x6183,a1)),x6181),x6184),x6182))
% 0.72/0.86 [630]P26(f26(x6301,x6302))+~P26(f27(x6302,f26(f26(f15(f31(x6303,a1)),x6304),x6301),x6303))
% 0.72/0.86 [633]P26(f27(x6331,x6332,x6333))+~P26(f27(x6331,f26(f26(f15(f31(x6333,a1)),x6334),x6332),x6333))
% 0.72/0.86 [635]P26(f27(x6351,x6352,x6353))+~P26(f27(x6351,f26(f26(f15(f31(x6353,a1)),x6352),x6354),x6353))
% 0.72/0.86 [651]E(x6511,x6512)+~P26(f26(f4(x6513,f26(f26(f19(x6514),x6511),f2(f31(x6514,a1))),x6514),x6512))
% 0.72/0.86 [639]~P4(x6394,x6392,f31(x6391,a1))+E(f26(f26(f17(f31(x6391,a1)),f26(f26(f15(f31(x6391,a1)),x6392),x6393)),x6394),f26(f26(f15(f31(x6391,a1)),x6392),f26(f26(f17(f31(x6391,a1)),x6393),x6394)))
% 0.72/0.86 [655]P4(x6551,x6552,f31(x6553,a1))+~E(f26(f26(f17(f31(x6553,a1)),f26(f26(f15(f31(x6553,a1)),x6552),x6554)),x6551),f26(f26(f15(f31(x6553,a1)),x6552),f26(f26(f17(f31(x6553,a1)),x6554),x6551)))
% 0.72/0.86 [563]~P4(x5634,x5635,f31(x5632,a1))+P4(f26(f20(x5631,x5632,x5633),x5634),f26(f20(x5631,x5632,x5633),x5635),f31(x5633,a1))
% 0.72/0.86 [564]~P4(x5644,x5645,f31(x5643,a1))+P4(f26(f28(x5641,x5642,x5643),x5644),f26(f28(x5641,x5642,x5643),x5645),f31(x5642,a1))
% 0.72/0.86 [587]~P7(x5871,x5872,x5874,x5875)+P7(x5871,f3(x5872,x5873,f31(x5874,a1)),x5874,x5875)
% 0.72/0.86 [601]P4(f26(x6011,x6012),f5(x6013,x6011,x6014,f31(x6015,a1)),f31(x6015,a1))+~P26(f27(x6012,x6013,x6014))
% 0.72/0.86 [652]~P26(f27(x6523,f24(x6521,x6522,x6524,x6525),x6525))+P26(f26(f26(x6521,x6522),x6523))
% 0.72/0.86 [653]~P26(f27(x6532,f24(x6531,x6534,x6533,x6535),x6535))+P26(f26(f26(x6531,x6532),x6533))
% 0.72/0.86 [660]~P5(x6601,x6603,x6604)+P5(f7(x6601,x6602,x6603,f31(x6604,x6604),x6605),x6605,x6604)
% 0.72/0.86 [406]~P5(x4061,x4064,x4065)+E(f26(f26(x4061,x4062),f26(f26(x4061,x4062),x4063)),f26(f26(x4061,x4062),x4063))
% 0.72/0.86 [422]~P8(x4221,x4225)+E(f26(f26(x4221,x4222),f26(f26(x4221,x4223),x4224)),f26(f26(x4221,x4223),f26(f26(x4221,x4222),x4224)))
% 0.72/0.86 [552]~P26(f26(x5524,f26(x5521,x5525)))+P26(f26(f26(f28(x5521,x5522,x5523),x5524),x5525))
% 0.72/0.86 [553]~P26(f27(x5533,x5535,x5534))+E(f26(f26(f19(x5531),f26(x5532,x5533)),f26(f20(x5532,x5534,x5531),x5535)),f26(f20(x5532,x5534,x5531),x5535))
% 0.72/0.86 [590]P7(x5901,x5902,x5903,x5904)+~P7(x5901,f26(f26(f19(x5903),x5905),x5902),x5903,x5904)
% 0.72/0.86 [600]~P26(f27(x6002,x6005,x6003))+P26(f27(f26(x6001,x6002),f26(f20(x6001,x6003,x6004),x6005),x6004))
% 0.72/0.86 [607]~P26(f27(f26(x6072,x6071),x6075,x6074))+P26(f27(x6071,f26(f28(x6072,x6073,x6074),x6075),x6073))
% 0.72/0.86 [612]P26(f26(x6121,f26(x6122,x6123)))+~P26(f26(f26(f28(x6122,x6124,x6125),x6121),x6123))
% 0.72/0.86 [628]P26(f27(f26(x6281,x6282),x6283,x6284))+~P26(f27(x6282,f26(f28(x6281,x6285,x6284),x6283),x6285))
% 0.72/0.86 [632]~P26(f27(x6323,x6324,x6325))+E(f26(f26(f17(f31(x6321,a1)),f26(x6322,x6323)),f5(x6324,x6322,x6325,f31(x6321,a1))),f5(x6324,x6322,x6325,f31(x6321,a1)))
% 0.72/0.86 [663]E(x6631,f2(f31(x6632,a1)))+E(f5(x6631,f7(f26(f19(x6633),x6634),x6635,f31(x6633,a1),f31(x6633,a1),x6632),x6632,f31(x6633,a1)),f26(f26(f19(x6633),x6634),f5(x6631,x6635,x6632,f31(x6633,a1))))
% 0.72/0.86 [667]E(x6671,f2(f31(x6672,a1)))+E(f5(x6671,f7(f26(f17(f31(x6673,a1)),x6674),x6675,f31(x6673,a1),f31(x6673,a1),x6672),x6672,f31(x6673,a1)),f26(f26(f17(f31(x6673,a1)),x6674),f5(x6671,x6675,x6672,f31(x6673,a1))))
% 0.72/0.86 [472]~P8(x4721,x4725)+E(f26(f26(x4721,f26(f26(x4721,x4722),x4723)),x4724),f26(f26(x4721,x4722),f26(f26(x4721,x4723),x4724)))
% 0.72/0.86 [625]P7(x6251,x6252,x6253,x6254)+~P7(x6251,f26(f26(f17(f31(x6253,a1)),x6255),x6252),x6253,x6254)
% 0.72/0.86 [626]P7(x6261,x6262,x6263,x6264)+~P7(x6261,f26(f26(f17(f31(x6263,a1)),x6262),x6265),x6263,x6264)
% 0.72/0.86 [661]~P7(x6612,f26(f26(f17(f31(x6613,a1)),x6614),x6615),x6613,x6611)+E(f26(f26(f15(f31(x6611,a1)),f26(f20(x6612,x6613,x6611),f3(x6614,x6615,f31(x6613,a1)))),f26(f20(x6612,x6613,x6611),f3(x6615,x6614,f31(x6613,a1)))),f2(f31(x6611,a1)))
% 0.72/0.86 [669]~P7(x6691,f26(f26(f19(x6692),x6693),x6694),x6692,x6695)+~P26(f27(f26(x6691,x6693),f26(f20(x6691,x6692,x6695),f3(x6694,f26(f26(f19(x6692),x6693),f2(f31(x6692,a1))),f31(x6692,a1))),x6695))
% 0.72/0.86 [659]E(f26(x6591,x6592),x6593)+~P26(f27(x6592,f26(f28(x6591,x6594,x6595),f26(f26(f19(x6595),x6593),f2(f31(x6595,a1)))),x6594))
% 0.72/0.86 [664]~P26(f27(x6646,x6641,x6645))+E(f5(x6641,f7(f26(f19(x6642),x6643),x6644,f31(x6642,a1),f31(x6642,a1),x6645),x6645,f31(x6642,a1)),f26(f26(f19(x6642),x6643),f5(x6641,x6644,x6645,f31(x6642,a1))))
% 0.72/0.86 [579]E(x5791,x5792)+~E(f16(x5793,x5794,x5791,x5795),f16(x5796,x5797,x5792,x5795))
% 0.72/0.86 [580]E(x5801,x5802)+~E(f16(x5803,x5801,x5804,x5805),f16(x5806,x5802,x5807,x5805))
% 0.72/0.86 [581]E(x5811,x5812)+~E(f16(x5811,x5813,x5814,x5815),f16(x5812,x5816,x5817,x5815))
% 0.72/0.86 [685]~P3(x6854,x6851,x6855,x6856,x6857,x6858,x6853,x6859,x6852)+E(f26(x6851,f2(f31(x6852,a1))),x6853)
% 0.72/0.86 [686]~P3(x6861,x6864,x6865,x6866,x6867,x6868,x6869,x6863,x6862)+E(f26(x6861,f2(f31(x6862,a1))),x6863)
% 0.72/0.86 [689]~P3(x6894,x6891,x6895,x6896,x6897,x6898,x6899,x68910,x6892)+E(f26(x6891,f26(f26(f19(x6892),x6893),f2(f31(x6892,a1)))),x6893)
% 0.72/0.86 [690]~P3(x6901,x6904,x6905,x6906,x6907,x6908,x6909,x69010,x6902)+E(f26(x6901,f26(f26(f19(x6902),x6903),f2(f31(x6902,a1)))),x6903)
% 0.72/0.86 [687]~P3(x6876,x6871,x6877,x6878,x6879,x6875,x68710,x68711,x6872)+E(f26(x6871,f26(f26(f19(x6872),x6873),x6874)),f26(f26(x6875,x6873),f26(x6871,x6874)))
% 0.72/0.86 [688]~P3(x6881,x6886,x6887,x6888,x6885,x6889,x68810,x68811,x6882)+E(f26(x6881,f26(f26(f19(x6882),x6883),x6884)),f26(f26(x6885,x6883),f26(x6881,x6884)))
% 0.72/0.86 [693]~P3(x6936,x6931,x6937,x6938,x6939,x6935,x69310,x69311,x6932)+E(f26(x6931,f26(f26(f19(x6932),x6933),f26(f26(f19(x6932),x6934),f2(f31(x6932,a1))))),f26(f26(x6935,x6933),x6934))
% 0.72/0.86 [694]~P3(x6941,x6946,x6947,x6948,x6945,x6949,x69410,x69411,x6942)+E(f26(x6941,f26(f26(f19(x6942),x6943),f26(f26(f19(x6942),x6944),f2(f31(x6942,a1))))),f26(f26(x6945,x6943),x6944))
% 0.72/0.86 [314]~P15(x3142)+~P15(x3141)+P15(f31(x3141,x3142))
% 0.72/0.86 [340]P4(x3402,x3401,x3403)+~P24(x3403)+P4(x3401,x3402,x3403)
% 0.72/0.86 [317]~P24(x3173)+E(x3171,x3172)+~E(f22(x3171,x3173),f22(x3172,x3173))
% 0.72/0.86 [355]P2(x3551,x3552)+~P2(x3553,x3552)+~P4(x3551,x3553,f31(x3552,a1))
% 0.72/0.86 [394]~P24(x3942)+~P4(x3941,x3943,x3942)+P4(f22(x3941,x3942),f22(x3943,x3942),f31(x3942,a1))
% 0.72/0.86 [408]E(x4081,x4082)+~P4(x4081,x4082,f31(x4083,a1))+~P4(x4082,x4081,f31(x4083,a1))
% 0.72/0.86 [426]~P1(x4263)+P4(x4261,f11(x4262,x4263),x4263)+~P26(f27(x4261,x4262,x4263))
% 0.72/0.86 [427]~P1(x4272)+P4(f12(x4271,x4272),x4273,x4272)+~P26(f27(x4273,x4271,x4272))
% 0.72/0.86 [428]~P24(x4283)+P4(x4281,x4282,x4283)+~P4(f22(x4281,x4283),f22(x4282,x4283),f31(x4283,a1))
% 0.72/0.86 [343]P4(x3431,x3432,x3433)+~P20(x3433)+E(f23(x3431,x3432,x3433),f2(f31(x3433,a1)))
% 0.72/0.86 [344]P4(x3442,x3443,x3441)+~P20(x3441)+E(f2(f31(x3441,a1)),f23(x3442,x3443,x3441))
% 0.72/0.86 [392]~P20(x3923)+~P4(x3921,x3922,x3923)+~E(f23(x3921,x3922,x3923),f2(f31(x3923,a1)))
% 0.72/0.86 [393]~P20(x3931)+~P4(x3932,x3933,x3931)+~E(f2(f31(x3931,a1)),f23(x3932,x3933,x3931))
% 0.72/0.86 [445]P2(x4451,x4452)+~P2(x4453,x4452)+~P2(f3(x4451,x4453,f31(x4452,a1)),x4452)
% 0.72/0.86 [578]~P2(x5782,x5783)+P7(x5781,x5782,x5783,x5783)+~P4(x5782,f26(f20(x5781,x5783,x5783),x5782),f31(x5783,a1))
% 0.72/0.86 [333]~P17(x3332)+E(x3331,f2(x3332))+~E(f26(f26(f17(x3332),x3333),x3331),f2(x3332))
% 0.72/0.86 [334]~P17(x3342)+E(x3341,f2(x3342))+~E(f26(f26(f17(x3342),x3341),x3343),f2(x3342))
% 0.72/0.86 [345]~P19(x3453)+P4(x3451,x3452,x3453)+~E(f26(f26(f15(x3453),x3451),x3452),x3451)
% 0.72/0.86 [346]~P18(x3463)+P4(x3461,x3462,x3463)+~E(f26(f26(f17(x3463),x3461),x3462),x3462)
% 0.72/0.86 [347]~P19(x3471)+~P4(x3473,x3472,x3471)+E(f26(f26(f15(x3471),x3472),x3473),x3473)
% 0.72/0.86 [348]~P19(x3481)+~P4(x3482,x3483,x3481)+E(f26(f26(f15(x3481),x3482),x3483),x3482)
% 0.72/0.86 [349]~P18(x3491)+~P4(x3492,x3493,x3491)+E(f26(f26(f17(x3491),x3492),x3493),x3493)
% 0.72/0.86 [350]~P18(x3501)+~P4(x3503,x3502,x3501)+E(f26(f26(f17(x3501),x3502),x3503),x3502)
% 0.72/0.86 [535]~P4(x5351,f26(f26(f19(x5352),x5353),f2(f31(x5352,a1))),f31(x5352,a1))+E(x5351,f2(f31(x5352,a1)))+E(x5351,f26(f26(f19(x5352),x5353),f2(f31(x5352,a1))))
% 0.72/0.86 [485]~P2(x4853,x4851)+~P2(x4852,x4851)+P2(f26(f26(f17(f31(x4851,a1)),x4852),x4853),x4851)
% 0.72/0.86 [395]~P6(x3951,x3954,x3953)+P6(x3951,x3952,x3953)+~P6(x3954,x3952,x3953)
% 0.72/0.86 [368]~P22(x3684)+E(x3681,x3682)+~E(f3(x3683,x3683,x3684),f3(x3681,x3682,x3684))
% 0.72/0.86 [369]~P22(x3693)+E(x3691,x3692)+~E(f3(x3691,x3692,x3693),f3(x3694,x3694,x3693))
% 0.72/0.87 [377]~P4(x3773,x3771,f31(x3774,a1))+P26(f26(x3771,x3772))+~P26(f26(x3773,x3772))
% 0.72/0.87 [468]~P4(x4681,x4684,f31(x4683,a1))+~P4(x4684,x4682,f31(x4683,a1))+P4(x4681,x4682,f31(x4683,a1))
% 0.72/0.87 [503]~P4(x5034,x5032,f31(x5033,a1))+P26(f27(x5031,x5032,x5033))+~P26(f27(x5031,x5034,x5033))
% 0.72/0.87 [435]P6(x4351,x4352,x4353)+~P6(x4354,x4352,x4353)+~P4(x4354,x4351,f31(f25(x4353),a1))
% 0.72/0.87 [436]P6(x4361,x4362,x4363)+~P6(x4361,x4364,x4363)+~P4(x4362,x4364,f31(f25(x4363),a1))
% 0.72/0.87 [521]~P4(x5211,x5212,f31(x5214,a1))+~P4(x5213,x5211,f31(x5214,a1))+E(f3(x5211,f3(x5212,x5213,f31(x5214,a1)),f31(x5214,a1)),x5213)
% 0.72/0.87 [592]P2(x5921,x5922)+~P7(x5923,x5921,x5922,x5924)+~P2(f26(f20(x5923,x5922,x5924),x5921),x5924)
% 0.72/0.87 [409]~P18(x4092)+~P4(x4091,x4094,x4092)+P4(x4091,f26(f26(f17(x4092),x4093),x4094),x4092)
% 0.72/0.87 [410]~P18(x4102)+~P4(x4101,x4103,x4102)+P4(x4101,f26(f26(f17(x4102),x4103),x4104),x4102)
% 0.72/0.87 [411]~P19(x4111)+~P4(x4113,x4114,x4111)+P4(f26(f26(f15(x4111),x4112),x4113),x4114,x4111)
% 0.72/0.87 [412]~P19(x4121)+~P4(x4122,x4124,x4121)+P4(f26(f26(f15(x4121),x4122),x4123),x4124,x4121)
% 0.72/0.87 [455]~P19(x4553)+P4(x4551,x4552,x4553)+~P4(x4551,f26(f26(f15(x4553),x4554),x4552),x4553)
% 0.72/0.87 [457]~P19(x4573)+P4(x4571,x4572,x4573)+~P4(x4571,f26(f26(f15(x4573),x4572),x4574),x4573)
% 0.72/0.87 [459]~P18(x4593)+P4(x4591,x4592,x4593)+~P4(f26(f26(f17(x4593),x4594),x4591),x4592,x4593)
% 0.72/0.87 [461]~P18(x4613)+P4(x4611,x4612,x4613)+~P4(f26(f26(f17(x4613),x4611),x4614),x4612,x4613)
% 0.72/0.87 [520]P4(x5202,x5204,f31(x5203,a1))+P26(f27(x5201,x5202,x5203))+~P4(x5202,f26(f26(f19(x5203),x5201),x5204),f31(x5203,a1))
% 0.72/0.87 [522]~P4(x5223,x5224,f31(x5221,a1))+~P26(f27(x5222,x5224,x5221))+P4(f26(f26(f19(x5221),x5222),x5223),x5224,f31(x5221,a1))
% 0.72/0.87 [571]~P26(f27(x5711,x5714,x5713))+P26(f27(x5711,x5712,x5713))+P26(f27(x5711,f3(x5714,x5712,f31(x5713,a1)),x5713))
% 0.72/0.87 [629]P4(f3(x6291,f26(f26(f19(x6292),x6293),f2(f31(x6292,a1))),f31(x6292,a1)),x6294,f31(x6292,a1))+~P26(f27(x6293,x6291,x6292))+~P4(x6291,f26(f26(f19(x6292),x6293),x6294),f31(x6292,a1))
% 0.72/0.87 [644]~P4(f3(x6441,f26(f26(f19(x6442),x6443),f2(f31(x6442,a1))),f31(x6442,a1)),x6444,f31(x6442,a1))+~P26(f27(x6443,x6441,x6442))+P4(x6441,f26(f26(f19(x6442),x6443),x6444),f31(x6442,a1))
% 0.72/0.87 [498]E(x4981,x4982)+P26(f26(x4983,x4981))+~P26(f26(f26(f26(f19(x4984),x4982),x4983),x4981))
% 0.72/0.87 [542]~P4(x5421,x5423,f31(x5422,a1))+~P4(x5421,x5424,f31(x5422,a1))+P4(x5421,f26(f26(f15(f31(x5422,a1)),x5423),x5424),f31(x5422,a1))
% 0.72/0.87 [544]~P4(x5442,x5444,f31(x5441,a1))+~P4(x5443,x5444,f31(x5441,a1))+P4(f26(f26(f17(f31(x5441,a1)),x5442),x5443),x5444,f31(x5441,a1))
% 0.72/0.87 [545]E(x5451,x5452)+P26(f27(x5451,x5453,x5454))+~P26(f27(x5451,f26(f26(f19(x5454),x5452),x5453),x5454))
% 0.72/0.87 [546]~P26(f27(x5464,x5463,x5461))+~P26(f27(x5464,x5462,x5461))+~E(f26(f26(f15(f31(x5461,a1)),x5462),x5463),f2(f31(x5461,a1)))
% 0.72/0.87 [608]~P6(x6081,x6084,x6082)+P6(x6081,f26(f26(f19(f25(x6082)),x6083),x6084),x6082)+~P6(x6081,f26(f26(f19(f25(x6082)),x6083),f2(f31(f25(x6082),a1))),x6082)
% 0.72/0.87 [568]~P26(f26(x5683,x5684))+~P26(f26(x5682,x5684))+P26(f26(f26(f26(f15(f31(x5681,a1)),x5682),x5683),x5684))
% 0.72/0.87 [615]~P26(f26(x6154,x6151))+~P26(f27(x6151,x6153,x6152))+P26(f27(x6151,f26(f26(f15(f31(x6152,a1)),x6153),x6154),x6152))
% 0.72/0.87 [619]P26(f26(x6191,x6192))+P26(f26(x6193,x6192))+~P26(f26(f26(f26(f17(f31(x6194,a1)),x6191),x6193),x6192))
% 0.72/0.87 [621]~P26(f27(x6211,x6214,x6212))+~P26(f27(x6211,x6213,x6212))+P26(f27(x6211,f26(f26(f15(f31(x6212,a1)),x6213),x6214),x6212))
% 0.72/0.87 [640]P26(f27(x6401,x6402,x6403))+P26(f27(x6401,x6404,x6403))+~P26(f27(x6401,f26(f26(f17(f31(x6403,a1)),x6402),x6404),x6403))
% 0.72/0.87 [405]~P16(x4054)+P4(f26(x4051,x4052),f26(x4053,x4052),x4054)+~P4(x4051,x4053,f31(x4055,x4054))
% 0.72/0.87 [490]~P20(x4903)+P4(x4901,x4902,x4903)+P4(f23(x4901,x4902,x4903),f23(x4904,x4905,x4903),f31(x4903,a1))
% 0.72/0.87 [574]~P1(x5745)+P4(f26(x5741,x5742),f5(x5743,x5741,x5744,x5745),x5745)+~P26(f27(x5742,x5743,x5744))
% 0.72/0.87 [576]P7(x5761,x5762,x5763,x5764)+~P7(x5761,x5765,x5763,x5764)+~P4(x5762,x5765,f31(x5763,a1))
% 0.72/0.87 [415]~P11(x4154,x4151,x4155)+P26(f26(f26(x4151,x4152),x4153))+P26(f26(f26(x4154,x4153),x4152))
% 0.72/0.87 [417]~P11(x4171,x4174,x4175)+P26(f26(f26(x4171,x4173),x4172))+P26(f26(f26(x4171,x4172),x4173))
% 0.72/0.87 [444]~P10(x4441,x4444,x4445)+~P26(f26(f26(x4444,x4442),x4443))+P26(f26(f26(x4441,x4442),x4443))
% 0.72/0.87 [481]~P11(x4811,x4812,x4813)+~P26(f26(f26(x4812,x4815),x4814))+~P26(f26(f26(x4812,x4814),x4815))
% 0.72/0.87 [482]~P11(x4821,x4822,x4823)+~P26(f26(f26(x4821,x4825),x4824))+~P26(f26(f26(x4822,x4824),x4825))
% 0.72/0.87 [517]~P10(x5171,x5175,x5174)+E(f24(x5171,x5172,x5173,x5174),f2(f31(x5174,a1)))+P26(f26(f26(x5171,x5172),x5173))
% 0.72/0.87 [525]~P10(x5251,x5255,x5254)+E(f24(x5251,x5252,x5253,x5254),f2(f31(x5254,a1)))+~P26(f26(f26(x5255,x5253),x5252))
% 0.72/0.87 [534]P2(x5341,x5342)+~P2(x5343,x5344)+~P4(x5341,f26(f20(x5345,x5344,x5342),x5343),f31(x5342,a1))
% 0.72/0.87 [550]~P4(x5501,x5504,f31(x5503,a1))+~P4(x5505,x5502,f31(x5503,a1))+P4(f3(x5501,x5502,f31(x5503,a1)),f3(x5504,x5505,f31(x5503,a1)),f31(x5503,a1))
% 0.72/0.87 [555]~P10(x5551,x5555,x5554)+~E(f24(x5551,x5552,x5553,x5554),f2(f31(x5554,a1)))+~P26(f26(f26(x5551,x5552),x5553))
% 0.72/0.87 [567]~P26(f27(x5672,x5674,x5675))+E(f26(x5671,x5672),f2(f31(x5673,a1)))+~E(f5(x5674,x5671,x5675,f31(x5673,a1)),f2(f31(x5673,a1)))
% 0.72/0.87 [642]~P26(f26(f26(x6422,x6423),x6421))+~P26(f26(f26(x6422,x6421),x6424))+P26(f27(x6421,f24(x6422,x6423,x6424,x6425),x6425))
% 0.72/0.87 [593]E(x5931,x5932)+E(x5931,x5933)+~E(f26(f26(f19(x5934),x5935),f26(f26(f19(x5934),x5931),f2(f31(x5934,a1)))),f26(f26(f19(x5934),x5933),f26(f26(f19(x5934),x5932),f2(f31(x5934,a1)))))
% 0.72/0.87 [594]E(x5941,x5942)+E(x5943,x5942)+~E(f26(f26(f19(x5944),x5943),f26(f26(f19(x5944),x5941),f2(f31(x5944,a1)))),f26(f26(f19(x5944),x5945),f26(f26(f19(x5944),x5942),f2(f31(x5944,a1)))))
% 0.72/0.87 [595]E(x5951,x5952)+E(x5953,x5952)+~E(f26(f26(f19(x5954),x5953),f26(f26(f19(x5954),x5951),f2(f31(x5954,a1)))),f26(f26(f19(x5954),x5952),f26(f26(f19(x5954),x5955),f2(f31(x5954,a1)))))
% 0.72/0.87 [596]E(x5961,x5962)+E(x5961,x5963)+~E(f26(f26(f19(x5964),x5961),f26(f26(f19(x5964),x5965),f2(f31(x5964,a1)))),f26(f26(f19(x5964),x5963),f26(f26(f19(x5964),x5962),f2(f31(x5964,a1)))))
% 0.72/0.87 [613]~P4(x6132,x6134,f31(x6131,a1))+~P4(x6133,x6135,f31(x6131,a1))+P4(f26(f26(f15(f31(x6131,a1)),x6132),x6133),f26(f26(f15(f31(x6131,a1)),x6134),x6135),f31(x6131,a1))
% 0.72/0.87 [614]~P4(x6142,x6144,f31(x6141,a1))+~P4(x6143,x6145,f31(x6141,a1))+P4(f26(f26(f17(f31(x6141,a1)),x6142),x6143),f26(f26(f17(f31(x6141,a1)),x6144),x6145),f31(x6141,a1))
% 0.72/0.87 [636]E(x6361,x6362)+~E(f26(f20(x6363,x6364,x6365),x6361),f26(f20(x6363,x6364,x6365),x6362))+~P7(x6363,f26(f26(f17(f31(x6364,a1)),x6361),x6362),x6364,x6365)
% 0.72/0.87 [665]~P7(x6651,x6654,x6652,x6655)+P7(x6651,f26(f26(f19(x6652),x6653),x6654),x6652,x6655)+P26(f27(f26(x6651,x6653),f26(f20(x6651,x6652,x6655),f3(x6654,f26(f26(f19(x6652),x6653),f2(f31(x6652,a1))),f31(x6652,a1))),x6655))
% 0.72/0.87 [673]~P6(x6733,f26(f26(f19(f25(a30)),f16(x6734,x6735,x6731,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6733,f26(f26(f19(f25(a30)),f16(x6734,x6735,x6732,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6731,f37(x6732,x6731)),f43(x6732,x6731)))
% 0.72/0.87 [674]~P6(x6743,f26(f26(f19(f25(a30)),f16(x6742,x6744,x6745,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6743,f26(f26(f19(f25(a30)),f16(x6741,x6744,x6745,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6741,f38(x6741,x6742)),f42(x6741,x6742)))
% 0.72/0.87 [675]~P6(x6751,f26(f26(f19(f25(a30)),f16(x6755,x6753,x6754,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6751,f26(f26(f19(f25(a30)),f16(x6752,x6753,x6754,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6755,f38(x6752,x6755)),f42(x6752,x6755)))
% 0.72/0.87 [676]~P6(x6761,f26(f26(f19(f25(a30)),f16(x6762,x6763,x6765,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6761,f26(f26(f19(f25(a30)),f16(x6762,x6763,x6764,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6764,f37(x6764,x6765)),f43(x6764,x6765)))
% 0.72/0.87 [604]~P4(f26(f20(x6041,x6046,x6044),x6045),x6043,f31(x6044,a1))+~P26(f27(x6042,x6045,x6046))+P26(f27(f26(x6041,x6042),x6043,x6044))
% 0.72/0.87 [638]P4(f26(x6381,x6382),x6383,f31(x6384,a1))+~P4(f5(x6385,x6381,x6386,f31(x6384,a1)),x6383,f31(x6384,a1))+~P26(f27(x6382,x6385,x6386))
% 0.72/0.87 [647]~P26(f27(x6476,x6471,x6473))+~P26(f26(f26(x6472,x6476),x6475))+P26(f26(f5(x6471,x6472,x6473,f31(x6474,a1)),x6475))
% 0.72/0.87 [650]~P26(f27(x6506,x6502,x6504))+~P26(f27(x6501,f26(x6503,x6506),x6505))+P26(f27(x6501,f5(x6502,x6503,x6504,f31(x6505,a1)),x6505))
% 0.72/0.87 [678]~P6(x6785,f26(f26(f19(f25(a30)),f16(x6782,x6786,x6784,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6785,f26(f26(f19(f25(a30)),f16(x6781,x6786,x6783,a30)),f2(f31(f25(a30),a1))),a30)+P26(f26(f26(x6781,f41(x6781,x6782,x6783,x6784)),f40(x6781,x6782,x6783,x6784)))
% 0.72/0.87 [680]~P6(x6801,f26(f26(f19(f25(a30)),f16(x6805,x6803,x6806,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6801,f26(f26(f19(f25(a30)),f16(x6802,x6803,x6804,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6804,f41(x6802,x6805,x6804,x6806)),f39(x6802,x6805,x6804,x6806)))
% 0.72/0.87 [683]~P6(x6831,f26(f26(f19(f25(a30)),f16(x6835,x6833,x6836,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6831,f26(f26(f19(f25(a30)),f16(x6832,x6833,x6834,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6834,f34(x6831,x6832,x6834,x6833)),f48(x6831,x6832,x6834,x6833,x6835,x6836)))
% 0.72/0.87 [684]~P6(x6841,f26(f26(f19(f25(a30)),f16(x6845,x6843,x6846,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6841,f26(f26(f19(f25(a30)),f16(x6842,x6843,x6844,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6844,f35(x6841,x6842,x6844,x6843)),f46(x6841,x6842,x6844,x6843,x6845,x6846)))
% 0.72/0.87 [637]~P10(x6371,x6377,x6374)+P4(f24(x6371,x6372,x6373,x6374),f24(x6371,x6375,x6376,x6374),f31(x6374,a1))+P26(f26(f26(x6371,x6372),x6373))
% 0.72/0.87 [679]~P6(x6791,f26(f26(f19(f25(x6792)),f16(x6793,x6794,x6797,x6792)),f2(f31(f25(x6792),a1))),x6792)+P6(x6791,f26(f26(f19(f25(x6792)),f16(x6793,f10(x6794,x6795),x6796,x6792)),f2(f31(f25(x6792),a1))),x6792)+~P6(x6791,f26(f26(f19(f25(x6792)),f16(x6797,x6795,x6796,x6792)),f2(f31(f25(x6792),a1))),x6792)
% 0.72/0.87 [691]~P3(x6916,x6913,x6911,x6917,x6918,x6919,x69110,x69111,x6915)+~P26(f27(x6912,x6914,x6915))+P26(f26(f26(x6911,x6912),f26(x6913,x6914)))
% 0.72/0.87 [692]~P3(x6922,x6926,x6921,x6927,x6928,x6929,x69210,x69211,x6925)+~P26(f27(x6924,x6923,x6925))+P26(f26(f26(x6921,f26(x6922,x6923)),x6924))
% 0.72/0.87 [390]~P24(x3902)+~P2(x3901,x3902)+E(x3901,f2(f31(x3902,a1)))+P26(f27(f13(x3901,x3902),x3901,x3902))
% 0.72/0.87 [391]~P24(x3912)+~P2(x3911,x3912)+E(x3911,f2(f31(x3912,a1)))+P26(f27(f14(x3911,x3912),x3911,x3912))
% 0.72/0.87 [372]~P4(x3722,x3721,x3723)+~P4(x3721,x3722,x3723)+E(x3721,x3722)+~P20(x3723)
% 0.72/0.87 [438]~P24(x4383)+~P2(x4382,x4383)+P4(x4381,f13(x4382,x4383),x4383)+~P26(f27(x4381,x4382,x4383))
% 0.72/0.87 [439]~P24(x4392)+~P2(x4391,x4392)+P4(f14(x4391,x4392),x4393,x4392)+~P26(f27(x4393,x4391,x4392))
% 0.72/0.87 [622]~P2(x6223,x6222)+~P7(x6221,x6223,x6222,x6222)+~P4(f26(f20(x6221,x6222,x6222),x6223),x6223,f31(x6222,a1))+E(f26(f20(x6221,x6222,x6222),x6223),x6223)
% 0.72/0.87 [533]~P19(x5331)+~P2(x5332,x5331)+~P26(f27(x5333,x5332,x5331))+P4(f29(f4(f15(x5331),x5332,x5331),x5331),x5333,x5331)
% 0.72/0.87 [402]~P20(x4023)+~P4(x4021,x4024,x4023)+P4(x4021,x4022,x4023)+~P4(x4024,x4022,x4023)
% 0.72/0.87 [403]~P25(x4033)+~P4(x4031,x4034,x4033)+P4(x4031,x4032,x4033)+~P4(x4034,x4032,x4033)
% 0.72/0.87 [476]~P19(x4762)+~P4(x4761,x4764,x4762)+~P4(x4761,x4763,x4762)+P4(x4761,f26(f26(f15(x4762),x4763),x4764),x4762)
% 0.72/0.87 [479]~P18(x4791)+~P4(x4793,x4794,x4791)+~P4(x4792,x4794,x4791)+P4(f26(f26(f17(x4791),x4792),x4793),x4794,x4791)
% 0.72/0.87 [496]E(x4961,x4962)+P26(f27(x4963,x4961,x4964))+P26(f27(x4963,x4962,x4964))+~E(f26(f26(f19(x4964),x4963),x4961),f26(f26(f19(x4964),x4963),x4962))
% 0.72/0.87 [466]~P23(x4663)+~P4(x4665,x4664,x4663)+P4(x4661,x4662,x4663)+~E(f3(x4664,x4665,x4663),f3(x4662,x4661,x4663))
% 0.72/0.87 [467]~P23(x4673)+~P4(x4675,x4674,x4673)+P4(x4671,x4672,x4673)+~E(f3(x4672,x4671,x4673),f3(x4674,x4675,x4673))
% 0.72/0.87 [518]~P20(x5183)+~P4(x5184,x5181,x5183)+~P4(x5182,x5185,x5183)+P4(f23(x5181,x5182,x5183),f23(x5184,x5185,x5183),f31(x5183,a1))
% 0.72/0.87 [539]~P20(x5393)+P4(x5391,x5392,x5393)+~P4(x5394,x5391,x5393)+~P4(f23(x5394,x5391,x5393),f23(x5395,x5392,x5393),f31(x5393,a1))
% 0.72/0.87 [540]~P20(x5403)+P4(x5401,x5402,x5403)+~P4(x5402,x5404,x5403)+~P4(f23(x5402,x5404,x5403),f23(x5401,x5405,x5403),f31(x5403,a1))
% 0.72/0.87 [421]E(x4211,x4212)+~P11(x4214,x4213,x4215)+P26(f26(f26(x4213,x4211),x4212))+P26(f26(f26(x4213,x4212),x4211))
% 0.72/0.87 [450]E(x4501,x4502)+~P10(x4504,x4503,x4505)+~P26(f26(f26(x4504,x4501),x4502))+P26(f26(f26(x4503,x4501),x4502))
% 0.72/0.87 [451]E(x4511,x4512)+~P11(x4514,x4513,x4515)+~P26(f26(f26(x4514,x4511),x4512))+P26(f26(f26(x4513,x4511),x4512))
% 0.72/0.87 [489]E(x4891,x4892)+~P10(x4893,x4894,x4895)+~P26(f26(f26(x4893,x4892),x4891))+~P26(f26(f26(x4893,x4891),x4892))
% 0.72/0.87 [631]~P2(x6314,x6315)+P2(f26(x6311,x6312),x6313)+~P26(f27(x6312,x6314,x6315))+~P2(f5(x6314,x6311,x6315,f31(x6313,a1)),x6313)
% 0.72/0.87 [668]~P7(x6681,x6684,x6682,x6685)+~P7(x6681,x6683,x6682,x6685)+P7(x6681,f26(f26(f17(f31(x6682,a1)),x6683),x6684),x6682,x6685)+~E(f26(f26(f15(f31(x6685,a1)),f26(f20(x6681,x6682,x6685),f3(x6683,x6684,f31(x6682,a1)))),f26(f20(x6681,x6682,x6685),f3(x6684,x6683,f31(x6682,a1)))),f2(f31(x6685,a1)))
% 0.72/0.87 [648]~P7(x6481,x6486,x6482,x6483)+~P4(x6484,x6486,f31(x6482,a1))+~P4(x6485,x6486,f31(x6482,a1))+E(f3(f26(f20(x6481,x6482,x6483),x6484),f26(f20(x6481,x6482,x6483),x6485),f31(x6483,a1)),f26(f20(x6481,x6482,x6483),f3(x6484,x6485,f31(x6482,a1))))
% 0.72/0.87 [656]~P7(x6562,x6566,x6563,x6561)+~P4(x6564,x6566,f31(x6563,a1))+~P4(x6565,x6566,f31(x6563,a1))+E(f26(f26(f15(f31(x6561,a1)),f26(f20(x6562,x6563,x6561),x6564)),f26(f20(x6562,x6563,x6561),x6565)),f26(f20(x6562,x6563,x6561),f26(f26(f15(f31(x6563,a1)),x6564),x6565)))
% 0.72/0.87 [645]~P10(x6451,x6457,x6454)+P4(f24(x6451,x6452,x6453,x6454),f24(x6451,x6455,x6456,x6454),f31(x6454,a1))+~P26(f26(f26(x6451,x6455),x6452))+~P26(f26(f26(x6451,x6453),x6456))
% 0.72/0.87 [657]~P10(x6571,x6574,x6575)+~P4(f24(x6571,x6576,x6572,x6575),f24(x6571,x6577,x6573,x6575),f31(x6575,a1))+P26(f26(f26(x6571,x6572),x6573))+~P26(f26(f26(x6571,x6576),x6572))
% 0.72/0.87 [658]~P10(x6581,x6584,x6585)+~P4(f24(x6581,x6583,x6586,x6585),f24(x6581,x6582,x6587,x6585),f31(x6585,a1))+P26(f26(f26(x6581,x6582),x6583))+~P26(f26(f26(x6581,x6583),x6586))
% 0.72/0.87 [677]~P6(x6776,f26(f26(f19(f25(a30)),f16(x6774,x6777,x6771,a30)),f2(f31(f25(a30),a1))),a30)+P6(x6776,f26(f26(f19(f25(a30)),f16(x6773,x6777,x6775,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6774,x6772),f40(x6773,x6774,x6775,x6771)))+P26(f26(f26(x6771,x6772),f39(x6773,x6774,x6775,x6771)))
% 0.72/0.87 [681]P6(x6813,f26(f26(f19(f25(a30)),f16(x6814,x6816,x6815,a30)),f2(f31(f25(a30),a1))),a30)+~P6(x6813,f26(f26(f19(f25(a30)),f16(x6817,x6816,x6811,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6817,x6812),f45(x6813,x6814,x6815,x6816)))+P26(f26(f26(x6811,x6812),f46(x6813,x6814,x6815,x6816,x6817,x6811)))
% 0.72/0.87 [682]P6(x6823,f26(f26(f19(f25(a30)),f16(x6824,x6826,x6825,a30)),f2(f31(f25(a30),a1))),a30)+~P6(x6823,f26(f26(f19(f25(a30)),f16(x6827,x6826,x6821,a30)),f2(f31(f25(a30),a1))),a30)+~P26(f26(f26(x6827,x6822),f47(x6823,x6824,x6825,x6826)))+P26(f26(f26(x6821,x6822),f48(x6823,x6824,x6825,x6826,x6827,x6821)))
% 0.72/0.87 [440]~P24(x4402)+~P2(x4403,x4402)+P4(f14(x4403,x4402),f14(x4401,x4402),x4402)+~P4(x4401,x4403,f31(x4402,a1))+E(x4401,f2(f31(x4402,a1)))
% 0.72/0.87 [441]~P24(x4412)+~P2(x4413,x4412)+P4(f13(x4411,x4412),f13(x4413,x4412),x4412)+~P4(x4411,x4413,f31(x4412,a1))+E(x4411,f2(f31(x4412,a1)))
% 0.72/0.87 [588]~P2(x5881,x5882)+~P8(x5883,x5882)+P26(f27(x5884,x5881,x5882))+E(x5881,f2(f31(x5882,a1)))+E(f29(f4(x5883,f26(f26(f19(x5882),x5884),x5881),x5882),x5882),f26(f26(x5883,x5884),f29(f4(x5883,x5881,x5882),x5882)))
% 0.72/0.87 [585]E(x5851,x5852)+~P7(x5853,x5854,x5855,x5856)+~E(f26(x5853,x5851),f26(x5853,x5852))+~P26(f27(x5852,x5854,x5855))+~P26(f27(x5851,x5854,x5855))
% 0.72/0.87 [586]~P19(x5862)+~P2(x5861,x5862)+P4(x5863,x5864,x5862)+~P26(f27(x5864,x5861,x5862))+~P4(x5863,f29(f4(f15(x5862),x5861,x5862),x5862),x5862)+E(x5861,f2(f31(x5862,a1)))
% 0.72/0.87 [654]~P2(x6541,x6542)+~P2(x6543,x6542)+~P8(x6544,x6542)+E(x6541,f2(f31(x6542,a1)))+E(x6543,f2(f31(x6542,a1)))+~E(f26(f26(f15(f31(x6542,a1)),x6543),x6541),f2(f31(x6542,a1)))+E(f26(f26(x6544,f29(f4(x6544,x6543,x6542),x6542)),f29(f4(x6544,x6541,x6542),x6542)),f29(f4(x6544,f26(f26(f17(f31(x6542,a1)),x6543),x6541),x6542),x6542))
% 0.72/0.87 %EqnAxiom
% 0.72/0.87 [1]E(x11,x11)
% 0.72/0.87 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.87 [4]~E(x41,x42)+E(f31(x41,x43),f31(x42,x43))
% 0.72/0.87 [5]~E(x51,x52)+E(f31(x53,x51),f31(x53,x52))
% 0.72/0.87 [6]~E(x61,x62)+E(f2(x61),f2(x62))
% 0.72/0.87 [7]~E(x71,x72)+E(f26(x71,x73),f26(x72,x73))
% 0.72/0.87 [8]~E(x81,x82)+E(f26(x83,x81),f26(x83,x82))
% 0.72/0.87 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 0.72/0.87 [10]~E(x101,x102)+E(f19(x101),f19(x102))
% 0.72/0.87 [11]~E(x111,x112)+E(f28(x111,x113,x114),f28(x112,x113,x114))
% 0.72/0.87 [12]~E(x121,x122)+E(f28(x123,x121,x124),f28(x123,x122,x124))
% 0.72/0.87 [13]~E(x131,x132)+E(f28(x133,x134,x131),f28(x133,x134,x132))
% 0.72/0.87 [14]~E(x141,x142)+E(f27(x141,x143,x144),f27(x142,x143,x144))
% 0.72/0.87 [15]~E(x151,x152)+E(f27(x153,x151,x154),f27(x153,x152,x154))
% 0.72/0.87 [16]~E(x161,x162)+E(f27(x163,x164,x161),f27(x163,x164,x162))
% 0.72/0.87 [17]~E(x171,x172)+E(f3(x171,x173,x174),f3(x172,x173,x174))
% 0.72/0.87 [18]~E(x181,x182)+E(f3(x183,x181,x184),f3(x183,x182,x184))
% 0.72/0.87 [19]~E(x191,x192)+E(f3(x193,x194,x191),f3(x193,x194,x192))
% 0.72/0.87 [20]~E(x201,x202)+E(f17(x201),f17(x202))
% 0.72/0.87 [21]~E(x211,x212)+E(f25(x211),f25(x212))
% 0.72/0.87 [22]~E(x221,x222)+E(f22(x221,x223),f22(x222,x223))
% 0.72/0.87 [23]~E(x231,x232)+E(f22(x233,x231),f22(x233,x232))
% 0.72/0.87 [24]~E(x241,x242)+E(f23(x241,x243,x244),f23(x242,x243,x244))
% 0.72/0.87 [25]~E(x251,x252)+E(f23(x253,x251,x254),f23(x253,x252,x254))
% 0.72/0.87 [26]~E(x261,x262)+E(f23(x263,x264,x261),f23(x263,x264,x262))
% 0.72/0.87 [27]~E(x271,x272)+E(f16(x271,x273,x274,x275),f16(x272,x273,x274,x275))
% 0.72/0.87 [28]~E(x281,x282)+E(f16(x283,x281,x284,x285),f16(x283,x282,x284,x285))
% 0.72/0.87 [29]~E(x291,x292)+E(f16(x293,x294,x291,x295),f16(x293,x294,x292,x295))
% 0.72/0.87 [30]~E(x301,x302)+E(f16(x303,x304,x305,x301),f16(x303,x304,x305,x302))
% 0.72/0.87 [31]~E(x311,x312)+E(f10(x311,x313),f10(x312,x313))
% 0.72/0.87 [32]~E(x321,x322)+E(f10(x323,x321),f10(x323,x322))
% 0.72/0.87 [33]~E(x331,x332)+E(f20(x331,x333,x334),f20(x332,x333,x334))
% 0.72/0.87 [34]~E(x341,x342)+E(f20(x343,x341,x344),f20(x343,x342,x344))
% 0.72/0.87 [35]~E(x351,x352)+E(f20(x353,x354,x351),f20(x353,x354,x352))
% 0.72/0.87 [36]~E(x361,x362)+E(f13(x361,x363),f13(x362,x363))
% 0.72/0.87 [37]~E(x371,x372)+E(f13(x373,x371),f13(x373,x372))
% 0.72/0.87 [38]~E(x381,x382)+E(f5(x381,x383,x384,x385),f5(x382,x383,x384,x385))
% 0.72/0.87 [39]~E(x391,x392)+E(f5(x393,x391,x394,x395),f5(x393,x392,x394,x395))
% 0.72/0.87 [40]~E(x401,x402)+E(f5(x403,x404,x401,x405),f5(x403,x404,x402,x405))
% 0.72/0.87 [41]~E(x411,x412)+E(f5(x413,x414,x415,x411),f5(x413,x414,x415,x412))
% 0.72/0.87 [42]~E(x421,x422)+E(f14(x421,x423),f14(x422,x423))
% 0.72/0.87 [43]~E(x431,x432)+E(f14(x433,x431),f14(x433,x432))
% 0.72/0.87 [44]~E(x441,x442)+E(f12(x441,x443),f12(x442,x443))
% 0.72/0.87 [45]~E(x451,x452)+E(f12(x453,x451),f12(x453,x452))
% 0.72/0.87 [46]~E(x461,x462)+E(f18(x461,x463),f18(x462,x463))
% 0.72/0.87 [47]~E(x471,x472)+E(f18(x473,x471),f18(x473,x472))
% 0.72/0.87 [48]~E(x481,x482)+E(f4(x481,x483,x484),f4(x482,x483,x484))
% 0.72/0.87 [49]~E(x491,x492)+E(f4(x493,x491,x494),f4(x493,x492,x494))
% 0.72/0.87 [50]~E(x501,x502)+E(f4(x503,x504,x501),f4(x503,x504,x502))
% 0.72/0.87 [51]~E(x511,x512)+E(f42(x511,x513),f42(x512,x513))
% 0.72/0.87 [52]~E(x521,x522)+E(f42(x523,x521),f42(x523,x522))
% 0.72/0.87 [53]~E(x531,x532)+E(f36(x531,x533,x534,x535),f36(x532,x533,x534,x535))
% 0.72/0.87 [54]~E(x541,x542)+E(f36(x543,x541,x544,x545),f36(x543,x542,x544,x545))
% 0.72/0.87 [55]~E(x551,x552)+E(f36(x553,x554,x551,x555),f36(x553,x554,x552,x555))
% 0.72/0.87 [56]~E(x561,x562)+E(f36(x563,x564,x565,x561),f36(x563,x564,x565,x562))
% 0.72/0.87 [57]~E(x571,x572)+E(f37(x571,x573),f37(x572,x573))
% 0.72/0.87 [58]~E(x581,x582)+E(f37(x583,x581),f37(x583,x582))
% 0.72/0.87 [59]~E(x591,x592)+E(f11(x591,x593),f11(x592,x593))
% 0.72/0.87 [60]~E(x601,x602)+E(f11(x603,x601),f11(x603,x602))
% 0.72/0.87 [61]~E(x611,x612)+E(f7(x611,x613,x614,x615,x616),f7(x612,x613,x614,x615,x616))
% 0.72/0.87 [62]~E(x621,x622)+E(f7(x623,x621,x624,x625,x626),f7(x623,x622,x624,x625,x626))
% 0.72/0.87 [63]~E(x631,x632)+E(f7(x633,x634,x631,x635,x636),f7(x633,x634,x632,x635,x636))
% 0.72/0.87 [64]~E(x641,x642)+E(f7(x643,x644,x645,x641,x646),f7(x643,x644,x645,x642,x646))
% 0.72/0.87 [65]~E(x651,x652)+E(f7(x653,x654,x655,x656,x651),f7(x653,x654,x655,x656,x652))
% 0.72/0.87 [66]~E(x661,x662)+E(f44(x661,x663,x664,x665),f44(x662,x663,x664,x665))
% 0.72/0.87 [67]~E(x671,x672)+E(f44(x673,x671,x674,x675),f44(x673,x672,x674,x675))
% 0.72/0.87 [68]~E(x681,x682)+E(f44(x683,x684,x681,x685),f44(x683,x684,x682,x685))
% 0.72/0.87 [69]~E(x691,x692)+E(f44(x693,x694,x695,x691),f44(x693,x694,x695,x692))
% 0.72/0.87 [70]~E(x701,x702)+E(f29(x701,x703),f29(x702,x703))
% 0.72/0.87 [71]~E(x711,x712)+E(f29(x713,x711),f29(x713,x712))
% 0.72/0.87 [72]~E(x721,x722)+E(f9(x721,x723),f9(x722,x723))
% 0.72/0.87 [73]~E(x731,x732)+E(f9(x733,x731),f9(x733,x732))
% 0.72/0.87 [74]~E(x741,x742)+E(f24(x741,x743,x744,x745),f24(x742,x743,x744,x745))
% 0.72/0.87 [75]~E(x751,x752)+E(f24(x753,x751,x754,x755),f24(x753,x752,x754,x755))
% 0.72/0.87 [76]~E(x761,x762)+E(f24(x763,x764,x761,x765),f24(x763,x764,x762,x765))
% 0.72/0.87 [77]~E(x771,x772)+E(f24(x773,x774,x775,x771),f24(x773,x774,x775,x772))
% 0.72/0.87 [78]~E(x781,x782)+E(f21(x781,x783),f21(x782,x783))
% 0.72/0.87 [79]~E(x791,x792)+E(f21(x793,x791),f21(x793,x792))
% 0.72/0.87 [80]~E(x801,x802)+E(f8(x801,x803),f8(x802,x803))
% 0.72/0.87 [81]~E(x811,x812)+E(f8(x813,x811),f8(x813,x812))
% 0.72/0.87 [82]~E(x821,x822)+E(f45(x821,x823,x824,x825),f45(x822,x823,x824,x825))
% 0.72/0.87 [83]~E(x831,x832)+E(f45(x833,x831,x834,x835),f45(x833,x832,x834,x835))
% 0.72/0.87 [84]~E(x841,x842)+E(f45(x843,x844,x841,x845),f45(x843,x844,x842,x845))
% 0.72/0.87 [85]~E(x851,x852)+E(f45(x853,x854,x855,x851),f45(x853,x854,x855,x852))
% 0.72/0.87 [86]~E(x861,x862)+E(f46(x861,x863,x864,x865,x866,x867),f46(x862,x863,x864,x865,x866,x867))
% 0.72/0.87 [87]~E(x871,x872)+E(f46(x873,x871,x874,x875,x876,x877),f46(x873,x872,x874,x875,x876,x877))
% 0.72/0.87 [88]~E(x881,x882)+E(f46(x883,x884,x881,x885,x886,x887),f46(x883,x884,x882,x885,x886,x887))
% 0.72/0.87 [89]~E(x891,x892)+E(f46(x893,x894,x895,x891,x896,x897),f46(x893,x894,x895,x892,x896,x897))
% 0.72/0.87 [90]~E(x901,x902)+E(f46(x903,x904,x905,x906,x901,x907),f46(x903,x904,x905,x906,x902,x907))
% 0.72/0.87 [91]~E(x911,x912)+E(f46(x913,x914,x915,x916,x917,x911),f46(x913,x914,x915,x916,x917,x912))
% 0.72/0.87 [92]~E(x921,x922)+E(f40(x921,x923,x924,x925),f40(x922,x923,x924,x925))
% 0.72/0.87 [93]~E(x931,x932)+E(f40(x933,x931,x934,x935),f40(x933,x932,x934,x935))
% 0.72/0.87 [94]~E(x941,x942)+E(f40(x943,x944,x941,x945),f40(x943,x944,x942,x945))
% 0.72/0.87 [95]~E(x951,x952)+E(f40(x953,x954,x955,x951),f40(x953,x954,x955,x952))
% 0.72/0.87 [96]~E(x961,x962)+E(f41(x961,x963,x964,x965),f41(x962,x963,x964,x965))
% 0.72/0.87 [97]~E(x971,x972)+E(f41(x973,x971,x974,x975),f41(x973,x972,x974,x975))
% 0.72/0.87 [98]~E(x981,x982)+E(f41(x983,x984,x981,x985),f41(x983,x984,x982,x985))
% 0.72/0.87 [99]~E(x991,x992)+E(f41(x993,x994,x995,x991),f41(x993,x994,x995,x992))
% 0.72/0.87 [100]~E(x1001,x1002)+E(f39(x1001,x1003,x1004,x1005),f39(x1002,x1003,x1004,x1005))
% 0.72/0.87 [101]~E(x1011,x1012)+E(f39(x1013,x1011,x1014,x1015),f39(x1013,x1012,x1014,x1015))
% 0.72/0.87 [102]~E(x1021,x1022)+E(f39(x1023,x1024,x1021,x1025),f39(x1023,x1024,x1022,x1025))
% 0.72/0.87 [103]~E(x1031,x1032)+E(f39(x1033,x1034,x1035,x1031),f39(x1033,x1034,x1035,x1032))
% 0.72/0.87 [104]~E(x1041,x1042)+E(f35(x1041,x1043,x1044,x1045),f35(x1042,x1043,x1044,x1045))
% 0.72/0.87 [105]~E(x1051,x1052)+E(f35(x1053,x1051,x1054,x1055),f35(x1053,x1052,x1054,x1055))
% 0.72/0.87 [106]~E(x1061,x1062)+E(f35(x1063,x1064,x1061,x1065),f35(x1063,x1064,x1062,x1065))
% 0.72/0.87 [107]~E(x1071,x1072)+E(f35(x1073,x1074,x1075,x1071),f35(x1073,x1074,x1075,x1072))
% 0.72/0.87 [108]~E(x1081,x1082)+E(f38(x1081,x1083),f38(x1082,x1083))
% 0.72/0.87 [109]~E(x1091,x1092)+E(f38(x1093,x1091),f38(x1093,x1092))
% 0.72/0.87 [110]~E(x1101,x1102)+E(f34(x1101,x1103,x1104,x1105),f34(x1102,x1103,x1104,x1105))
% 0.72/0.87 [111]~E(x1111,x1112)+E(f34(x1113,x1111,x1114,x1115),f34(x1113,x1112,x1114,x1115))
% 0.72/0.87 [112]~E(x1121,x1122)+E(f34(x1123,x1124,x1121,x1125),f34(x1123,x1124,x1122,x1125))
% 0.72/0.87 [113]~E(x1131,x1132)+E(f34(x1133,x1134,x1135,x1131),f34(x1133,x1134,x1135,x1132))
% 0.72/0.87 [114]~E(x1141,x1142)+E(f48(x1141,x1143,x1144,x1145,x1146,x1147),f48(x1142,x1143,x1144,x1145,x1146,x1147))
% 0.72/0.87 [115]~E(x1151,x1152)+E(f48(x1153,x1151,x1154,x1155,x1156,x1157),f48(x1153,x1152,x1154,x1155,x1156,x1157))
% 0.72/0.87 [116]~E(x1161,x1162)+E(f48(x1163,x1164,x1161,x1165,x1166,x1167),f48(x1163,x1164,x1162,x1165,x1166,x1167))
% 0.72/0.87 [117]~E(x1171,x1172)+E(f48(x1173,x1174,x1175,x1171,x1176,x1177),f48(x1173,x1174,x1175,x1172,x1176,x1177))
% 0.72/0.87 [118]~E(x1181,x1182)+E(f48(x1183,x1184,x1185,x1186,x1181,x1187),f48(x1183,x1184,x1185,x1186,x1182,x1187))
% 0.72/0.87 [119]~E(x1191,x1192)+E(f48(x1193,x1194,x1195,x1196,x1197,x1191),f48(x1193,x1194,x1195,x1196,x1197,x1192))
% 0.72/0.87 [120]~E(x1201,x1202)+E(f43(x1201,x1203),f43(x1202,x1203))
% 0.72/0.87 [121]~E(x1211,x1212)+E(f43(x1213,x1211),f43(x1213,x1212))
% 0.72/0.87 [122]~E(x1221,x1222)+E(f47(x1221,x1223,x1224,x1225),f47(x1222,x1223,x1224,x1225))
% 0.72/0.87 [123]~E(x1231,x1232)+E(f47(x1233,x1231,x1234,x1235),f47(x1233,x1232,x1234,x1235))
% 0.72/0.87 [124]~E(x1241,x1242)+E(f47(x1243,x1244,x1241,x1245),f47(x1243,x1244,x1242,x1245))
% 0.72/0.87 [125]~E(x1251,x1252)+E(f47(x1253,x1254,x1255,x1251),f47(x1253,x1254,x1255,x1252))
% 0.72/0.87 [126]~P1(x1261)+P1(x1262)+~E(x1261,x1262)
% 0.72/0.87 [127]~P12(x1271)+P12(x1272)+~E(x1271,x1272)
% 0.72/0.87 [128]~P13(x1281)+P13(x1282)+~E(x1281,x1282)
% 0.72/0.87 [129]~P18(x1291)+P18(x1292)+~E(x1291,x1292)
% 0.72/0.87 [130]~P19(x1301)+P19(x1302)+~E(x1301,x1302)
% 0.72/0.87 [131]~P20(x1311)+P20(x1312)+~E(x1311,x1312)
% 0.72/0.87 [132]~P14(x1321)+P14(x1322)+~E(x1321,x1322)
% 0.72/0.87 [133]~P15(x1331)+P15(x1332)+~E(x1331,x1332)
% 0.72/0.87 [134]~P16(x1341)+P16(x1342)+~E(x1341,x1342)
% 0.72/0.87 [135]~P17(x1351)+P17(x1352)+~E(x1351,x1352)
% 0.72/0.87 [136]~P21(x1361)+P21(x1362)+~E(x1361,x1362)
% 0.72/0.87 [137]~P25(x1371)+P25(x1372)+~E(x1371,x1372)
% 0.72/0.87 [138]P2(x1382,x1383)+~E(x1381,x1382)+~P2(x1381,x1383)
% 0.72/0.87 [139]P2(x1393,x1392)+~E(x1391,x1392)+~P2(x1393,x1391)
% 0.72/0.87 [140]P4(x1402,x1403,x1404)+~E(x1401,x1402)+~P4(x1401,x1403,x1404)
% 0.72/0.87 [141]P4(x1413,x1412,x1414)+~E(x1411,x1412)+~P4(x1413,x1411,x1414)
% 0.72/0.87 [142]P4(x1423,x1424,x1422)+~E(x1421,x1422)+~P4(x1423,x1424,x1421)
% 0.72/0.87 [143]~P26(x1431)+P26(x1432)+~E(x1431,x1432)
% 0.72/0.87 [144]P5(x1442,x1443,x1444)+~E(x1441,x1442)+~P5(x1441,x1443,x1444)
% 0.72/0.87 [145]P5(x1453,x1452,x1454)+~E(x1451,x1452)+~P5(x1453,x1451,x1454)
% 0.72/0.87 [146]P5(x1463,x1464,x1462)+~E(x1461,x1462)+~P5(x1463,x1464,x1461)
% 0.72/0.87 [147]P6(x1472,x1473,x1474)+~E(x1471,x1472)+~P6(x1471,x1473,x1474)
% 0.72/0.87 [148]P6(x1483,x1482,x1484)+~E(x1481,x1482)+~P6(x1483,x1481,x1484)
% 0.72/0.87 [149]P6(x1493,x1494,x1492)+~E(x1491,x1492)+~P6(x1493,x1494,x1491)
% 0.72/0.87 [150]P7(x1502,x1503,x1504,x1505)+~E(x1501,x1502)+~P7(x1501,x1503,x1504,x1505)
% 0.72/0.87 [151]P7(x1513,x1512,x1514,x1515)+~E(x1511,x1512)+~P7(x1513,x1511,x1514,x1515)
% 0.72/0.87 [152]P7(x1523,x1524,x1522,x1525)+~E(x1521,x1522)+~P7(x1523,x1524,x1521,x1525)
% 0.72/0.87 [153]P7(x1533,x1534,x1535,x1532)+~E(x1531,x1532)+~P7(x1533,x1534,x1535,x1531)
% 0.72/0.87 [154]P10(x1542,x1543,x1544)+~E(x1541,x1542)+~P10(x1541,x1543,x1544)
% 0.72/0.87 [155]P10(x1553,x1552,x1554)+~E(x1551,x1552)+~P10(x1553,x1551,x1554)
% 0.72/0.87 [156]P10(x1563,x1564,x1562)+~E(x1561,x1562)+~P10(x1563,x1564,x1561)
% 0.72/0.87 [157]~P24(x1571)+P24(x1572)+~E(x1571,x1572)
% 0.72/0.87 [158]P11(x1582,x1583,x1584)+~E(x1581,x1582)+~P11(x1581,x1583,x1584)
% 0.72/0.87 [159]P11(x1593,x1592,x1594)+~E(x1591,x1592)+~P11(x1593,x1591,x1594)
% 0.72/0.87 [160]P11(x1603,x1604,x1602)+~E(x1601,x1602)+~P11(x1603,x1604,x1601)
% 0.72/0.87 [161]P8(x1612,x1613)+~E(x1611,x1612)+~P8(x1611,x1613)
% 0.72/0.87 [162]P8(x1623,x1622)+~E(x1621,x1622)+~P8(x1623,x1621)
% 0.72/0.87 [163]~P23(x1631)+P23(x1632)+~E(x1631,x1632)
% 0.72/0.87 [164]P3(x1642,x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410)+~E(x1641,x1642)+~P3(x1641,x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410)
% 0.72/0.87 [165]P3(x1653,x1652,x1654,x1655,x1656,x1657,x1658,x1659,x16510)+~E(x1651,x1652)+~P3(x1653,x1651,x1654,x1655,x1656,x1657,x1658,x1659,x16510)
% 0.72/0.87 [166]P3(x1663,x1664,x1662,x1665,x1666,x1667,x1668,x1669,x16610)+~E(x1661,x1662)+~P3(x1663,x1664,x1661,x1665,x1666,x1667,x1668,x1669,x16610)
% 0.72/0.87 [167]P3(x1673,x1674,x1675,x1672,x1676,x1677,x1678,x1679,x16710)+~E(x1671,x1672)+~P3(x1673,x1674,x1675,x1671,x1676,x1677,x1678,x1679,x16710)
% 0.72/0.87 [168]P3(x1683,x1684,x1685,x1686,x1682,x1687,x1688,x1689,x16810)+~E(x1681,x1682)+~P3(x1683,x1684,x1685,x1686,x1681,x1687,x1688,x1689,x16810)
% 0.72/0.87 [169]P3(x1693,x1694,x1695,x1696,x1697,x1692,x1698,x1699,x16910)+~E(x1691,x1692)+~P3(x1693,x1694,x1695,x1696,x1697,x1691,x1698,x1699,x16910)
% 0.72/0.87 [170]P3(x1703,x1704,x1705,x1706,x1707,x1708,x1702,x1709,x17010)+~E(x1701,x1702)+~P3(x1703,x1704,x1705,x1706,x1707,x1708,x1701,x1709,x17010)
% 0.72/0.87 [171]P3(x1713,x1714,x1715,x1716,x1717,x1718,x1719,x1712,x17110)+~E(x1711,x1712)+~P3(x1713,x1714,x1715,x1716,x1717,x1718,x1719,x1711,x17110)
% 0.72/0.87 [172]P3(x1723,x1724,x1725,x1726,x1727,x1728,x1729,x17210,x1722)+~E(x1721,x1722)+~P3(x1723,x1724,x1725,x1726,x1727,x1728,x1729,x17210,x1721)
% 0.72/0.87 [173]~P22(x1731)+P22(x1732)+~E(x1731,x1732)
% 0.72/0.87 [174]P9(x1742,x1743,x1744)+~E(x1741,x1742)+~P9(x1741,x1743,x1744)
% 0.72/0.87 [175]P9(x1753,x1752,x1754)+~E(x1751,x1752)+~P9(x1753,x1751,x1754)
% 0.72/0.87 [176]P9(x1763,x1764,x1762)+~E(x1761,x1762)+~P9(x1763,x1764,x1761)
% 0.72/0.87
% 0.72/0.87 %-------------------------------------------
% 0.72/0.87 cnf(695,plain,
% 0.72/0.87 ($false),
% 0.72/0.87 inference(scs_inference,[],[301,191,374]),
% 0.72/0.87 ['proof']).
% 0.72/0.87 % SZS output end Proof
% 0.72/0.87 % Total time :0.030000s
%------------------------------------------------------------------------------