TSTP Solution File: SWV835-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV835-1 : 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 : n016.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 21:35:25 EDT 2023
% Result : Unsatisfiable 0.64s 0.89s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 04:16:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.54/0.58 start to proof:theBenchmark
% 0.54/0.84 %-------------------------------------------
% 0.54/0.84 % File :CSE---1.6
% 0.54/0.84 % Problem :theBenchmark
% 0.54/0.84 % Transform :cnf
% 0.54/0.84 % Format :tptp:raw
% 0.54/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.84
% 0.54/0.84 % Result :Theorem 0.030000s
% 0.54/0.84 % Output :CNFRefutation 0.030000s
% 0.54/0.84 %-------------------------------------------
% 0.54/0.85 %------------------------------------------------------------------------------
% 0.54/0.85 % File : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.54/0.85 % Domain : Software Verification
% 0.54/0.85 % Problem : Hoare logic with procedures 212_1
% 0.54/0.85 % Version : Especial.
% 0.54/0.85 % English : Completeness is taken relative to completeness of the underlying
% 0.54/0.85 % logic. Two versions of completeness proof: nested single recursion
% 0.54/0.85 % and simultaneous recursion in call rule.
% 0.54/0.85
% 0.54/0.85 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.54/0.85 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.54/0.85 % Source : [Nip10]
% 0.54/0.85 % Names : Hoare-212_1 [Nip10]
% 0.54/0.85
% 0.54/0.85 % Status : Unsatisfiable
% 0.54/0.85 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.54/0.85 % Syntax : Number of clauses : 608 ( 139 unt; 66 nHn; 313 RR)
% 0.54/0.85 % Number of literals : 1416 ( 351 equ; 766 neg)
% 0.54/0.85 % Maximal clause size : 6 ( 2 avg)
% 0.54/0.85 % Maximal term depth : 7 ( 2 avg)
% 0.54/0.85 % Number of predicates : 29 ( 28 usr; 0 prp; 1-4 aty)
% 0.54/0.85 % Number of functors : 37 ( 37 usr; 4 con; 0-5 aty)
% 0.54/0.85 % Number of variables : 1954 ( 222 sgn)
% 0.54/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.85
% 0.54/0.85 % Comments :
% 0.54/0.85 %------------------------------------------------------------------------------
% 0.54/0.85 cnf(cls_Compl__partition2_0,axiom,
% 0.54/0.85 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Un__Int__crazy_0,axiom,
% 0.54/0.85 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_compl__unique_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.54/0.85 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_psubset__insert__iff_5,axiom,
% 0.54/0.85 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.54/0.85 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insert__Diff__single_0,axiom,
% 0.54/0.85 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__int_I5_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__lessThan_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_k,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_distrib__inf__le_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.85 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a)),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a))) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_lessThan__eq__iff_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 0.54/0.85 | V_x = V_y ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Diff__partition_0,axiom,
% 0.54/0.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__commute_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Int__commute_0,axiom,
% 0.54/0.85 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_atMost__Int__atLeast_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__onD_0,axiom,
% 0.54/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.54/0.85 | V_x = V_y
% 0.54/0.85 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__on__def_0,axiom,
% 0.54/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.54/0.85 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.54/0.85 | V_x = V_xa ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__on__iff_0,axiom,
% 0.54/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.54/0.85 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.54/0.85 | V_x = V_y ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__on__contraD_0,axiom,
% 0.54/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.54/0.85 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | V_x = V_y
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_IntE_0,axiom,
% 0.54/0.85 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_IntE_1,axiom,
% 0.54/0.85 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_sup__left__commute_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_sup__assoc_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Un__assoc_0,axiom,
% 0.54/0.85 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Un__left__commute_0,axiom,
% 0.54/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_diff__eq_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Diff__eq_0,axiom,
% 0.54/0.85 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Max__singleton_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_eq__eqI_0,axiom,
% 0.54/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.54/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.54/0.85 | V_x_H = V_y_H ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_eq__eqI_1,axiom,
% 0.54/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.54/0.85 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.54/0.85 | V_xa = V_y ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Diff__idemp_0,axiom,
% 0.54/0.85 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)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_mem__def_0,axiom,
% 0.54/0.85 ( hBOOL(hAPP(V_S,V_x))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_mem__def_1,axiom,
% 0.54/0.85 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.54/0.85 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insert__commute_0,axiom,
% 0.54/0.85 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__un_I13_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__un_I22_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__on__id_0,axiom,
% 0.54/0.85 c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insertCI_1,axiom,
% 0.54/0.85 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insertI1_0,axiom,
% 0.54/0.85 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insert__iff_1,axiom,
% 0.54/0.85 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_xt1_I10_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.85 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_psubsetD_0,axiom,
% 0.54/0.85 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_psubset__trans_0,axiom,
% 0.54/0.85 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_order__less__trans_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.85 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_sup__idem_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Un__absorb_0,axiom,
% 0.54/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_finite__vimageI_0,axiom,
% 0.54/0.85 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 0.54/0.85 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_id__o_0,axiom,
% 0.54/0.85 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_o__id_0,axiom,
% 0.54/0.85 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Int__Un__distrib_0,axiom,
% 0.54/0.85 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.54/0.85 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_sup__fun__eq_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Olattice(T_b)
% 0.54/0.85 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Diff__triv_0,axiom,
% 0.54/0.85 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.54/0.85 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__un_I5_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_singletonE_0,axiom,
% 0.54/0.85 ( V_b = V_a
% 0.54/0.85 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__un_I15_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a)
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.54/0.85 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_subset__insert__iff_0,axiom,
% 0.54/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_subset__insert__iff_3,axiom,
% 0.54/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_diff__single__insert_0,axiom,
% 0.54/0.85 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__on__insert_0,axiom,
% 0.54/0.85 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_insert__Diff1_0,axiom,
% 0.54/0.85 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__atLeast_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.85 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_k,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ivl__disj__int_I8_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_greaterThanAtMost__empty__iff_1,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_greaterThanAtMost__empty__iff_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_psubset__insert__iff_1,axiom,
% 0.54/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.86 | hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_psubset__insert__iff_4,axiom,
% 0.54/0.86 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.54/0.86 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Compl__partition_0,axiom,
% 0.54/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_compl__sup__top_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_sup__compl__top_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.54/0.86 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.54/0.86 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__iff_2,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.54/0.86 | hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.86 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_DiffI_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.54/0.86 | hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.86 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__Compl_0,axiom,
% 0.54/0.86 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__subset_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__un_I11_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_l,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__code_2,axiom,
% 0.54/0.86 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.54/0.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_subset__insert__iff_2,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_subset__insert__iff_1,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_subset__insert_1,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_subset__insert_0,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__ident_0,axiom,
% 0.54/0.86 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.54/0.86 | hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.86 | V_A = V_B ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Int__insert__right_1,axiom,
% 0.54/0.86 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.54/0.86 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Int__insert__left_1,axiom,
% 0.54/0.86 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.54/0.86 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_o__eq__id__dest_0,axiom,
% 0.54/0.86 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)
% 0.54/0.86 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.54/0.86 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.54/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_fun__diff__def_0,axiom,
% 0.54/0.86 ( ~ class_HOL_Ominus(T_b)
% 0.54/0.86 | 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) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__id_0,axiom,
% 0.54/0.86 c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Un__Diff_0,axiom,
% 0.54/0.86 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__int_I14_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__un_I9_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_greaterThan__iff_0,axiom,
% 0.54/0.86 ( ~ class_HOL_Oord(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_k,V_i,T_a)
% 0.54/0.86 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_greaterThan__iff_1,axiom,
% 0.54/0.86 ( ~ class_HOL_Oord(T_a)
% 0.54/0.86 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),T_a))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_k,V_i,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__compose_0,axiom,
% 0.54/0.86 c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__eq_1,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 0.54/0.86 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimageI2_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 0.54/0.86 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimageI_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 0.54/0.86 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimageE_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.54/0.86 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimageD_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.54/0.86 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_psubset__insert__iff_9,axiom,
% 0.54/0.86 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Un__commute_0,axiom,
% 0.54/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_sup__commute_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Compl__Int_0,axiom,
% 0.54/0.86 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_compl__inf_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__absorb_0,axiom,
% 0.54/0.86 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.54/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__is__Un_0,axiom,
% 0.54/0.86 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_atLeastatMost__psubset__iff_2,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Un__left__absorb_0,axiom,
% 0.54/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_sup__left__idem_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Compl__Un_0,axiom,
% 0.54/0.86 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_compl__sup_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__disjoint_0,axiom,
% 0.54/0.86 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_finite_0,axiom,
% 0.54/0.86 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.54/0.86 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__int_I10_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__Un_0,axiom,
% 0.54/0.86 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Sup__binary_0,axiom,
% 0.54/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.54/0.86 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__int_I7_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ivl__disj__un_I18_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__Compl_0,axiom,
% 0.54/0.86 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_single__Diff__lessThan_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_insert__Diff__if_1,axiom,
% 0.54/0.86 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.86 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf1E_1,axiom,
% 0.54/0.86 ( hBOOL(hAPP(V_B,V_x))
% 0.54/0.86 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf1E_0,axiom,
% 0.54/0.86 ( hBOOL(hAPP(V_A,V_x))
% 0.54/0.86 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inj__on__Un_1,axiom,
% 0.54/0.86 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.54/0.86 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inj__on__Un_0,axiom,
% 0.54/0.86 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.54/0.86 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Sup__UNIV_0,axiom,
% 0.54/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.54/0.86 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.54/0.86 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.54/0.86 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_id__apply_0,axiom,
% 0.54/0.86 hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_atLeastatMost__psubset__iff_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_atLeastatMost__psubset__iff_1,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__subset__conv_1,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Diff__subset__conv_0,axiom,
% 0.54/0.86 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_double__complement_0,axiom,
% 0.54/0.86 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_minus__minus_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_double__compl_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_equation__minus__iff_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.54/0.86 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_equation__minus__iff_1,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.54/0.86 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_minus__equation__iff_1,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_less__supI1_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_less__supI2_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_minus__diff__eq_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.54/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_vimage__Int_0,axiom,
% 0.54/0.86 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_finite__Int_1,axiom,
% 0.54/0.86 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.86 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_finite__Int_0,axiom,
% 0.54/0.86 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_less__minus__iff_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_less__minus__iff_1,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_minus__less__iff_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_minus__less__iff_1,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.86 | V_x = V_y
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.86 | V_x = V_y
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_order__neq__le__trans_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.54/0.86 | V_a = V_b ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_order__le__neq__trans_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.54/0.86 | V_a = V_b
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_order__less__le_2,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.86 | V_x = V_y
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_order__le__less_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | V_x = V_y
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_xt1_I12_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.54/0.86 | V_a = V_b ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_xt1_I11_J_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.54/0.86 | V_a = V_b
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_le__eqI_1,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.54/0.86 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_le__eqI_0,axiom,
% 0.54/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.54/0.86 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H))
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_order__less__le__trans_0,axiom,
% 0.54/0.86 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.86 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.54/0.86 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.54/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ComplD_0,axiom,
% 0.54/0.86 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.86 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_ComplI_0,axiom,
% 0.54/0.86 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 0.54/0.86 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__compl__bot_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_compl__inf__bot_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__disjoint_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__disjoint2_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Diff_0,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inj__on__diff_0,axiom,
% 0.54/0.87 ( 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)
% 0.54/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__insert__left_0,axiom,
% 0.54/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__insert__right_0,axiom,
% 0.54/0.87 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_vimage__Diff_0,axiom,
% 0.54/0.87 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__insert__iff_8,axiom,
% 0.54/0.87 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__un_I20_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__int_I3_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_vimage__UNIV_0,axiom,
% 0.54/0.87 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Sup__insert_0,axiom,
% 0.54/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.54/0.87 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_lessThan__iff_0,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_i,V_k,T_a)
% 0.54/0.87 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_lessThan__iff_1,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OlessThan(V_k,T_a),T_a))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_k,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__top__right_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__top__left_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__UNIV__left_0,axiom,
% 0.54/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__UNIV__right_0,axiom,
% 0.54/0.87 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.54/0.87 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Diff__insert_0,axiom,
% 0.54/0.87 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Diff__insert2_0,axiom,
% 0.54/0.87 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Diff2_0,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Diff2_1,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.54/0.87 hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_insert__inter__insert_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_greaterThan__eq__iff_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)
% 0.54/0.87 | V_x = V_y ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_insert__absorb2_0,axiom,
% 0.54/0.87 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_insert__code_0,axiom,
% 0.54/0.87 ( hBOOL(hAPP(V_A,V_x))
% 0.54/0.87 | V_y = V_x
% 0.54/0.87 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_DiffE_0,axiom,
% 0.54/0.87 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.87 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_DiffE_1,axiom,
% 0.54/0.87 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.87 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_atLeast__iff_0,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_k),V_i))
% 0.54/0.87 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_atLeast__iff_1,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_k),V_i)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__insert_0,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__insert_1,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__un_I12_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_l,T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__int_I6_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Un_2,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__UnI_0,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.54/0.87 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.54/0.87 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_UNIV__I_0,axiom,
% 0.54/0.87 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_restrict__out_0,axiom,
% 0.54/0.87 ( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = c_Option_Ooption_ONone(T_b)
% 0.54/0.87 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_o__apply_0,axiom,
% 0.54/0.87 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.54/0.87 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 0.54/0.87 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_injD_0,axiom,
% 0.54/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.54/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.54/0.87 | V_x = V_y ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup1E_0,axiom,
% 0.54/0.87 ( hBOOL(hAPP(V_B,V_x))
% 0.54/0.87 | hBOOL(hAPP(V_A,V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup1CI_0,axiom,
% 0.54/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup1CI_1,axiom,
% 0.54/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_UnE_0,axiom,
% 0.54/0.87 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.54/0.87 | hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.87 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__left__commute_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__assoc_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Int__assoc_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Int__left__commute_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Min__singleton_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Un_0,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_finite__Un_1,axiom,
% 0.54/0.87 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.54/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_restrict__restrict_0,axiom,
% 0.54/0.87 c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b) = c_Map_Orestrict__map(V_m,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_neg__less__iff__less_1,axiom,
% 0.54/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_neg__less__iff__less_0,axiom,
% 0.54/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__atMost_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_k,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__eq__top__eq2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.54/0.87 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__eq__top__eq1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.54/0.87 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__insert__iff_2,axiom,
% 0.54/0.87 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.87 | hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.87 | hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__insert__iff_3,axiom,
% 0.54/0.87 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.54/0.87 | hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.87 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_compl__top__eq_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.87 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Compl__UNIV__eq_0,axiom,
% 0.54/0.87 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_atMost__iff_0,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_k))
% 0.54/0.87 | ~ hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_atMost__iff_1,axiom,
% 0.54/0.87 ( ~ class_HOL_Oord(T_a)
% 0.54/0.87 | hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_k)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__int_I1_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__insert__iff_0,axiom,
% 0.54/0.87 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__insert__iff_6,axiom,
% 0.54/0.87 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__int_I9_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.54/0.87 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.54/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__top__right_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__top__left_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Int__UNIV__left_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Int__UNIV__right_0,axiom,
% 0.54/0.87 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_distrib__sup__le_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__un_I1_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_Diff__Int2_0,axiom,
% 0.54/0.87 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_psubset__eq_1,axiom,
% 0.54/0.87 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_order__less__le_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__neq__iff_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_order__less__irrefl_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__inf__absorb_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_top1I_0,axiom,
% 0.54/0.87 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_atLeastatMost__empty_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_insertE_0,axiom,
% 0.54/0.87 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.54/0.87 | V_a = V_b
% 0.54/0.87 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_order__le__less__trans_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_xt1_I8_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_xt1_I7_J_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__supE_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__supE_1,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__supI1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__supI2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__sup__iff_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__sup__iff_1,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_top__greatest_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Otop(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__le1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__le2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__infI_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__inf__iff_2,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__greatest_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__iff__sup_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__iff__sup_1,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__absorb1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_order__less__imp__le_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_order__le__less_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_less__le__not__le_2,axiom,
% 0.54/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__imp__neg__le_0,axiom,
% 0.54/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_neg__le__iff__le_0,axiom,
% 0.54/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_not__leE_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__not__less_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__not__less_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__not__le_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_linorder__not__le_0,axiom,
% 0.54/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.54/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_less__le__not__le_1,axiom,
% 0.54/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.54/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__iff__inf_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__iff__inf_1,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__absorb2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__supI_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__ge1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__ge2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_sup__least_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__sup__iff_2,axiom,
% 0.54/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__infE_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__infE_1,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__infI1_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(cls_le__infI2_0,axiom,
% 0.54/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.54/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))
% 0.54/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_le__inf__iff_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_le__inf__iff_1,axiom,
% 0.64/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_le__minus__iff_0,axiom,
% 0.64/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_le__minus__iff_1,axiom,
% 0.64/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_minus__le__iff_0,axiom,
% 0.64/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_minus__le__iff_1,axiom,
% 0.64/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.87 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 0.64/0.87 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_sup__bot__left_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_sup__bot__right_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_inf__bot__left_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_inf__bot__right_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.64/0.87 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.64/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.64/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.64/0.87 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_vimage__empty_0,axiom,
% 0.64/0.87 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_Un__empty_2,axiom,
% 0.64/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_ex__in__conv_0,axiom,
% 0.64/0.87 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_ball__empty_0,axiom,
% 0.64/0.87 ( hBOOL(hAPP(V_P,V_x))
% 0.64/0.87 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_empty__iff_0,axiom,
% 0.64/0.87 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_emptyE_0,axiom,
% 0.64/0.87 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_empty__not__insert_0,axiom,
% 0.64/0.87 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.64/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/0.87 | V_b = V_c
% 0.64/0.87 | V_b = V_d ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.64/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/0.87 | V_a = V_d
% 0.64/0.87 | V_b = V_d ) ).
% 0.64/0.87
% 0.64/0.87 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.64/0.87 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/0.87 | V_b = V_c
% 0.64/0.87 | V_a = V_c ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.64/0.88 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.64/0.88 | V_a = V_d
% 0.64/0.88 | V_a = V_c ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_UNIV__not__empty_0,axiom,
% 0.64/0.88 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_empty__Diff_0,axiom,
% 0.64/0.88 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)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__empty__right_0,axiom,
% 0.64/0.88 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__empty__left_0,axiom,
% 0.64/0.88 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_not__psubset__empty_0,axiom,
% 0.64/0.88 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__cancel_0,axiom,
% 0.64/0.88 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)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__empty_0,axiom,
% 0.64/0.88 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 ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite_OemptyI_0,axiom,
% 0.64/0.88 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__empty__right_0,axiom,
% 0.64/0.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__empty__left_0,axiom,
% 0.64/0.88 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__not__empty_0,axiom,
% 0.64/0.88 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.64/0.88 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inj__on__empty_0,axiom,
% 0.64/0.88 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_singleton__inject_0,axiom,
% 0.64/0.88 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | V_a = V_b ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_bex__empty_0,axiom,
% 0.64/0.88 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__empty_1,axiom,
% 0.64/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__empty_0,axiom,
% 0.64/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__insert__iff_4,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__fun__def_0,axiom,
% 0.64/0.88 ( ~ class_HOL_Oord(T_b)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__fun__def_2,axiom,
% 0.64/0.88 ( ~ class_HOL_Oord(T_b)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__fun__def_1,axiom,
% 0.64/0.88 ( ~ class_HOL_Oord(T_b)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 0.64/0.88 ( V_A = V_B
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_psubset__eq_2,axiom,
% 0.64/0.88 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.64/0.88 | V_A = V_B
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_double__diff_0,axiom,
% 0.64/0.88 ( 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
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_rev__finite__subset_0,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__psubset__trans_0,axiom,
% 0.64/0.88 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.64/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.64/0.88 | V_x = V_y ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.64/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.64/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.64/0.88 | V_a = V_b ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.64/0.88 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 0.64/0.88 | V_A = V_B ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_top__fun__eq_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Otop(T_b)
% 0.64/0.88 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__psubset__iff_6,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__psubset__iff_5,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I2_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.64/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.64/0.88 | V_x = V_y ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | V_x = V_y
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_linorder__neqE_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.64/0.88 | V_x = V_y ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_linorder__less__linear_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.64/0.88 | V_x = V_y
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | V_x = V_y
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf__sup__absorb_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__infI2_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__infI1_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I3_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__Diff__Int_0,axiom,
% 0.64/0.88 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_psubset__insert__iff_7,axiom,
% 0.64/0.88 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | hBOOL(c_in(V_x,V_A,T_a))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_restrict__in_0,axiom,
% 0.64/0.88 ( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = hAPP(V_m,V_x)
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I8_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeast__eq__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 0.64/0.88 | V_x = V_y ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__compl_0,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__compl_1,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__int_I12_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__insert__left_0,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__insert__right_0,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__UNIV_0,axiom,
% 0.64/0.88 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_fcomp__apply_0,axiom,
% 0.64/0.88 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.64/0.88 ( hAPP(V_f,V_a) = V_b
% 0.64/0.88 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_o__assoc_0,axiom,
% 0.64/0.88 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_fun__Compl__def_0,axiom,
% 0.64/0.88 ( ~ class_HOL_Ouminus(T_b)
% 0.64/0.88 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__Int__distrib_0,axiom,
% 0.64/0.88 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.64/0.88 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__code_1,axiom,
% 0.64/0.88 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__subset_2,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_compl__bot__eq_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.64/0.88 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__empty__eq_0,axiom,
% 0.64/0.88 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf__left__idem_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__left__absorb_0,axiom,
% 0.64/0.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I19_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I10_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__Diff__insert_0,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__Diff__insert_1,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_fcomp__id_0,axiom,
% 0.64/0.88 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_id__fcomp_0,axiom,
% 0.64/0.88 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I7_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__UNIV_0,axiom,
% 0.64/0.88 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.64/0.88 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_UnCI_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_UnCI_1,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__Diff_0,axiom,
% 0.64/0.88 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.64/0.88 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf__idem_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__absorb_0,axiom,
% 0.64/0.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__int_I16_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Max__in_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 0.64/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf__fun__eq_0,axiom,
% 0.64/0.88 ( ~ class_Lattices_Olattice(T_b)
% 0.64/0.88 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Sup__singleton_0,axiom,
% 0.64/0.88 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.64/0.88 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I16_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insertCI_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__iff_2,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__psubset__iff_3,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__Un_0,axiom,
% 0.64/0.88 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__Diff_0,axiom,
% 0.64/0.88 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__diff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_n)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__int_I13_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atMost__eq__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a)
% 0.64/0.88 | V_x = V_y ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Min__in_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 0.64/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_singleton__iff_1,axiom,
% 0.64/0.88 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_o__eq__dest_0,axiom,
% 0.64/0.88 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.64/0.88 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_comp__cong_0,axiom,
% 0.64/0.88 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.64/0.88 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_vimage__insert_0,axiom,
% 0.64/0.88 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__Int_0,axiom,
% 0.64/0.88 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__greaterThan_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_k,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_vimage__code_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.64/0.88 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_vimage__code_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.64/0.88 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Min__le_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_IntI_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__iff_2,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_inf1I_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.64/0.88 | ~ hBOOL(hAPP(V_B,V_x))
% 0.64/0.88 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.64/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__eqI_0,axiom,
% 0.64/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_less__eqI_1,axiom,
% 0.64/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.64/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I4_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__un_I14_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_ivl__disj__int_I2_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Max__ge_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__psubset__iff_4,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Sup__upper_0,axiom,
% 0.64/0.88 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_fcomp__assoc_0,axiom,
% 0.64/0.88 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_xt1_I9_J_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_order__less__asym_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_order__less__asym_H_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_psubset__subset__trans_0,axiom,
% 0.64/0.88 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_finite__subset_0,axiom,
% 0.64/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__inj__on_0,axiom,
% 0.64/0.88 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__iff_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_set__rev__mp_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subsetD_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_set__mp_0,axiom,
% 0.64/0.88 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.64/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__subset__iff_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__subset__iff_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_predicate1I_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 0.64/0.88 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__UNIV_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__subset__iff_2,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__greatest_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__lower2_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_B)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__lower1_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__Un__eq_1,axiom,
% 0.64/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__absorb2_0,axiom,
% 0.64/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__absorb1_0,axiom,
% 0.64/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_psubset__eq_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(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_C,V_D,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__insertI_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Compl__anti__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__insertI2_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_insert__subset_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__absorb2_0,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__absorb1_0,axiom,
% 0.64/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__subset__iff_2,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__upper2_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__upper1_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Un__least_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Diff__subset_0,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_vimage__mono_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Ovimage(V_f,V_A,T_b,T_a)),c_Set_Ovimage(V_f,V_B,T_b,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__subset__iff_1,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Int__subset__iff_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_predicate1I_0,axiom,
% 0.64/0.88 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 0.64/0.88 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_restrict__map__to__empty_0,axiom,
% 0.64/0.88 hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_o__def_0,axiom,
% 0.64/0.88 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_id__def_0,axiom,
% 0.64/0.88 hAPP(c_Fun_Oid(t_a),v_x) = v_x ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_fcomp__def_0,axiom,
% 0.64/0.88 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Min__antimono_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.64/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Max__mono_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))
% 0.64/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.64/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_bot__class_Oaxioms_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Obot(T_a)
% 0.64/0.88 | c_Orderings_Obot__axioms(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a),T_a) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastLessThan__empty_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThanLessThan__empty_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OgreaterThanLessThan(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThanAtMost__empty_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_le__funI_0,axiom,
% 0.64/0.88 ( ~ class_HOL_Oord(T_b)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b))),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_le__fun__def_1,axiom,
% 0.64/0.88 ( ~ class_HOL_Oord(T_b)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b))),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeast__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeast__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atMost__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atMost__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThan__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_greaterThan__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_lessThan__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a)))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_lessThan__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 0.64/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.64/0.88 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_Sup__empty_0,axiom,
% 0.64/0.88 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.64/0.88 | 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) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__singletonD_0,axiom,
% 0.64/0.88 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.64/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.64/0.88 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.88 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.64/0.88 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)))) ).
% 0.64/0.88
% 0.64/0.88 cnf(cls_bot__empty__eq_0,axiom,
% 0.64/0.88 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) ).
% 0.64/0.88
% 0.64/0.89 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.64/0.89 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.64/0.89 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/0.89 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_linorder__linear_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_weaken_0,axiom,
% 0.64/0.89 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_ts_H))
% 0.64/0.89 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_rev__predicate1D_0,axiom,
% 0.64/0.89 ( hBOOL(hAPP(V_Q,V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 0.64/0.89 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__eq__refl_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__eq__iff_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_predicate1D_0,axiom,
% 0.64/0.89 ( hBOOL(hAPP(V_Q,V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(V_P,V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_subset__trans_0,axiom,
% 0.64/0.89 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_subset__refl_0,axiom,
% 0.64/0.89 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_equalityE_0,axiom,
% 0.64/0.89 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__trans_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_xt1_I6_J_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_cut_0,axiom,
% 0.64/0.89 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/0.89 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.64/0.89 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_subset__empty_1,axiom,
% 0.64/0.89 hBOOL(hAPP(hAPP(c_lessequals(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)))) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_subset__empty_0,axiom,
% 0.64/0.89 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__antisym__conv_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.89 | V_x = V_y
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__antisym_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.89 | V_x = V_y
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_order__eq__iff_2,axiom,
% 0.64/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.64/0.89 | V_x = V_y
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_set__eq__subset_2,axiom,
% 0.64/0.89 ( V_A = V_B
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_equalityI_0,axiom,
% 0.64/0.89 ( V_A = V_B
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_bot1E_0,axiom,
% 0.64/0.89 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_empty_0,axiom,
% 0.64/0.89 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_bot__least_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Obot(T_a)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_empty__subsetI_0,axiom,
% 0.64/0.89 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_bot__fun__eq_0,axiom,
% 0.64/0.89 ( ~ class_Orderings_Obot(T_b)
% 0.64/0.89 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_asm_0,axiom,
% 0.64/0.89 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_G)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_le__funD_0,axiom,
% 0.64/0.89 ( ~ class_HOL_Oord(T_b)
% 0.64/0.89 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))
% 0.64/0.89 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_conjecture_0,negated_conjecture,
% 0.64/0.89 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_x)) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_conjecture_1,negated_conjecture,
% 0.64/0.89 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.64/0.89 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.64/0.89 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.64/0.89 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.64/0.89 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.64/0.89 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.64/0.89 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/0.89 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.64/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.64/0.89 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.64/0.89 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.64/0.89 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.64/0.89 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Orderings_Otop(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.64/0.89 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_Orderings_Obot(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 0.64/0.89 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_HOL_Ouminus(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.64/0.89 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_HOL_Ominus(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.64/0.89 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.64/0.89 | ~ class_HOL_Oord(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.64/0.89 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.64/0.89 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.64/0.89 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.64/0.89 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.64/0.89 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.64/0.89 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/0.89 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.64/0.89 class_Orderings_Opreorder(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.64/0.89 class_Lattices_Olattice(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.64/0.89 class_Orderings_Oorder(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.64/0.89 class_Orderings_Otop(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.64/0.89 class_Orderings_Obot(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 0.64/0.89 class_HOL_Ouminus(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.64/0.89 class_HOL_Ominus(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.64/0.89 class_HOL_Oord(tc_bool) ).
% 0.64/0.89
% 0.64/0.89 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
% 0.64/0.89 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))
% 0.64/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.64/0.89 c_fequal(V_x,V_x,T_a) ).
% 0.64/0.89
% 0.64/0.89 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.64/0.89 ( V_X = V_Y
% 0.64/0.89 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.64/0.89
% 0.64/0.89 %------------------------------------------------------------------------------
% 0.64/0.89 %-------------------------------------------
% 0.64/0.89 % Proof found
% 0.64/0.89 % SZS status Theorem for theBenchmark
% 0.64/0.89 % SZS output start Proof
% 0.64/0.89 %ClaNum:734(EqnAxiom:126)
% 0.64/0.89 %VarNum:4450(SingletonVarNum:1704)
% 0.64/0.89 %MaxLitNum:6
% 0.64/0.89 %MaxfuncDepth:5
% 0.64/0.89 %SharedTerms:35
% 0.64/0.89 %goalClause: 196 260
% 0.64/0.89 %singleGoalClaCount:2
% 0.64/0.89 [127]P1(a1)
% 0.64/0.89 [128]P2(a1)
% 0.64/0.89 [129]P14(a1)
% 0.64/0.89 [130]P17(a1)
% 0.64/0.89 [131]P18(a1)
% 0.64/0.89 [132]P25(a1)
% 0.64/0.89 [133]P15(a1)
% 0.64/0.89 [134]P3(a1)
% 0.64/0.89 [135]P12(a1)
% 0.64/0.89 [136]P4(a1)
% 0.64/0.89 [137]P5(a1)
% 0.64/0.89 [138]P16(a1)
% 0.64/0.89 [139]P26(a1)
% 0.64/0.89 [140]P13(a1)
% 0.64/0.89 [141]P19(a1)
% 0.64/0.89 [161]E(f21(a35,f13(f36(a2,a1)),a2),f12(f13(f36(a2,a1)),a35))
% 0.64/0.89 [260]~P8(a35,f13(f36(f33(a2),a1)),a2)
% 0.64/0.89 [196]P27(f12(f12(f32(f36(f33(a2),a1)),a37),a35))
% 0.64/0.89 [145]P7(f13(f36(x1451,a1)),x1451)
% 0.64/0.89 [150]E(f17(f20(f36(x1501,a1)),f36(x1501,a1)),f13(f36(x1501,a1)))
% 0.64/0.89 [151]E(f17(f13(f36(x1511,a1)),f36(x1511,a1)),f20(f36(x1511,a1)))
% 0.64/0.89 [256]~E(f20(f36(x2561,a1)),f13(f36(x2561,a1)))
% 0.64/0.89 [144]P6(x1441,x1441,x1442)
% 0.64/0.89 [179]P9(f3(x1791),x1792,x1791,x1791)
% 0.64/0.89 [257]~P10(x2571,x2571,f36(x2572,a1))
% 0.64/0.89 [143]E(f12(f3(x1431),x1432),x1432)
% 0.64/0.89 [146]E(f14(x1461,x1461,f36(x1462,a1)),x1461)
% 0.64/0.89 [147]E(f15(x1471,x1471,f36(x1472,a1)),x1471)
% 0.64/0.89 [148]E(f16(x1481,x1481,f36(x1482,a1)),f13(f36(x1482,a1)))
% 0.64/0.89 [149]E(f17(f17(x1491,f36(x1492,a1)),f36(x1492,a1)),x1491)
% 0.64/0.89 [152]E(f14(x1521,f13(f36(x1522,a1)),f36(x1522,a1)),x1521)
% 0.64/0.89 [153]E(f15(x1531,f20(f36(x1532,a1)),f36(x1532,a1)),x1531)
% 0.64/0.89 [154]E(f16(x1541,f13(f36(x1542,a1)),f36(x1542,a1)),x1541)
% 0.64/0.89 [155]E(f14(f13(f36(x1551,a1)),x1552,f36(x1551,a1)),x1552)
% 0.64/0.89 [156]E(f15(f20(f36(x1561,a1)),x1562,f36(x1561,a1)),x1562)
% 0.64/0.89 [162]E(f14(x1621,f20(f36(x1622,a1)),f36(x1622,a1)),f20(f36(x1622,a1)))
% 0.64/0.89 [163]E(f15(x1631,f13(f36(x1632,a1)),f36(x1632,a1)),f13(f36(x1632,a1)))
% 0.64/0.89 [164]E(f16(x1641,f20(f36(x1642,a1)),f36(x1642,a1)),f13(f36(x1642,a1)))
% 0.64/0.89 [165]E(f14(f20(f36(x1651,a1)),x1652,f36(x1651,a1)),f20(f36(x1651,a1)))
% 0.64/0.89 [166]E(f15(f13(f36(x1661,a1)),x1662,f36(x1661,a1)),f13(f36(x1661,a1)))
% 0.64/0.89 [167]E(f16(f13(f36(x1671,a1)),x1672,f36(x1671,a1)),f13(f36(x1671,a1)))
% 0.64/0.89 [168]E(f16(f20(f36(x1681,a1)),x1682,f36(x1681,a1)),f17(x1682,f36(x1681,a1)))
% 0.64/0.89 [169]E(f14(x1691,f17(x1691,f36(x1692,a1)),f36(x1692,a1)),f20(f36(x1692,a1)))
% 0.64/0.89 [170]E(f15(x1701,f17(x1701,f36(x1702,a1)),f36(x1702,a1)),f13(f36(x1702,a1)))
% 0.64/0.89 [171]E(f14(f17(x1711,f36(x1712,a1)),x1711,f36(x1712,a1)),f20(f36(x1712,a1)))
% 0.64/0.89 [172]E(f15(f17(x1721,f36(x1722,a1)),x1721,f36(x1722,a1)),f13(f36(x1722,a1)))
% 0.64/0.89 [180]E(f31(f3(x1801),x1802,x1801,x1801),x1802)
% 0.64/0.89 [261]~P10(x2611,f13(f36(x2612,a1)),f36(x2612,a1))
% 0.64/0.89 [157]P8(x1571,f13(f36(f33(x1572),a1)),x1572)
% 0.64/0.89 [158]P27(f12(f20(f36(x1581,a1)),x1582))
% 0.64/0.89 [174]P27(f21(x1741,f20(f36(x1742,a1)),x1742))
% 0.64/0.89 [202]P27(f12(f12(f32(f36(x2021,a1)),x2022),f20(f36(x2021,a1))))
% 0.64/0.89 [262]~P27(f12(f13(f36(x2621,a1)),x2622))
% 0.64/0.89 [265]~P27(f21(x2651,f13(f36(x2652,a1)),x2652))
% 0.64/0.89 [183]P27(f12(f12(f32(f36(x1831,a1)),x1832),x1832))
% 0.64/0.89 [210]P27(f12(f12(f32(f36(x2101,a1)),f13(f36(x2101,a1))),x2102))
% 0.64/0.89 [217]E(f12(f18(x2171,f13(f36(a2,a1)),a2,x2172),a35),f19(x2172))
% 0.64/0.89 [159]E(f14(x1591,x1592,f36(x1593,a1)),f14(x1592,x1591,f36(x1593,a1)))
% 0.64/0.89 [160]E(f15(x1601,x1602,f36(x1603,a1)),f15(x1602,x1601,f36(x1603,a1)))
% 0.64/0.89 [175]E(f22(x1751,f22(x1751,x1752,x1753),x1753),f22(x1751,x1752,x1753))
% 0.64/0.89 [176]E(f15(x1761,f17(x1762,f36(x1763,a1)),f36(x1763,a1)),f16(x1761,x1762,f36(x1763,a1)))
% 0.64/0.89 [177]E(f16(x1771,f17(x1772,f36(x1773,a1)),f36(x1773,a1)),f15(x1771,x1772,f36(x1773,a1)))
% 0.64/0.89 [178]P27(f12(f22(x1781,x1782,x1783),x1781))
% 0.64/0.89 [181]E(f15(x1811,f16(x1812,x1811,f36(x1813,a1)),f36(x1813,a1)),f13(f36(x1813,a1)))
% 0.64/0.89 [184]P9(x1841,f13(f36(x1842,a1)),x1842,x1843)
% 0.64/0.89 [185]E(f14(x1851,f14(x1851,x1852,f36(x1853,a1)),f36(x1853,a1)),f14(x1851,x1852,f36(x1853,a1)))
% 0.64/0.89 [186]E(f14(x1861,f16(x1862,x1861,f36(x1863,a1)),f36(x1863,a1)),f14(x1861,x1862,f36(x1863,a1)))
% 0.64/0.89 [187]E(f15(x1871,f15(x1871,x1872,f36(x1873,a1)),f36(x1873,a1)),f15(x1871,x1872,f36(x1873,a1)))
% 0.64/0.89 [188]E(f14(f16(x1881,x1882,f36(x1883,a1)),x1882,f36(x1883,a1)),f14(x1881,x1882,f36(x1883,a1)))
% 0.64/0.89 [189]E(f16(f16(x1891,x1892,f36(x1893,a1)),x1892,f36(x1893,a1)),f16(x1891,x1892,f36(x1893,a1)))
% 0.64/0.89 [193]P27(f21(x1931,f22(x1931,x1932,x1933),x1933))
% 0.64/0.89 [197]E(f14(f17(x1971,f36(x1972,a1)),x1973,f36(x1972,a1)),f17(f16(x1971,x1973,f36(x1972,a1)),f36(x1972,a1)))
% 0.64/0.89 [198]E(f14(f22(x1981,f13(f36(x1982,a1)),x1982),x1983,f36(x1982,a1)),f22(x1981,x1983,x1982))
% 0.64/0.89 [199]E(f14(f16(x1991,x1992,f36(x1993,a1)),f15(x1991,x1992,f36(x1993,a1)),f36(x1993,a1)),x1991)
% 0.64/0.89 [203]E(f15(f17(x2031,f36(x2032,a1)),f17(x2033,f36(x2032,a1)),f36(x2032,a1)),f17(f14(x2031,x2033,f36(x2032,a1)),f36(x2032,a1)))
% 0.64/0.89 [204]E(f14(f17(x2041,f36(x2042,a1)),f17(x2043,f36(x2042,a1)),f36(x2042,a1)),f17(f15(x2041,x2043,f36(x2042,a1)),f36(x2042,a1)))
% 0.64/0.89 [212]P27(f12(f12(f32(f36(x2121,a1)),x2122),f22(x2123,x2122,x2121)))
% 0.64/0.89 [238]E(f4(x2381,f3(x2382),x2382,x2383,x2382),x2381)
% 0.64/0.89 [239]E(f11(x2391,f3(x2392),x2393,x2392,x2392),x2391)
% 0.64/0.89 [240]E(f4(f3(x2401),x2402,x2401,x2401,x2403),x2402)
% 0.64/0.89 [241]E(f11(f3(x2411),x2412,x2411,x2411,x2413),x2412)
% 0.64/0.89 [258]~E(f22(x2581,x2582,x2583),f13(f36(x2583,a1)))
% 0.64/0.89 [259]~E(f13(f36(x2591,a1)),f22(x2592,x2593,x2591))
% 0.64/0.89 [194]E(f31(x1941,f20(f36(x1942,a1)),x1943,x1942),f20(f36(x1943,a1)))
% 0.64/0.89 [195]E(f31(x1951,f13(f36(x1952,a1)),x1953,x1952),f13(f36(x1953,a1)))
% 0.64/0.89 [215]P27(f12(f12(f32(f36(x2151,a1)),x2152),f14(x2153,x2152,f36(x2151,a1))))
% 0.64/0.89 [216]P27(f12(f12(f32(f36(x2161,a1)),x2162),f14(x2162,x2163,f36(x2161,a1))))
% 0.64/0.89 [230]E(f22(x2301,f16(x2302,f22(x2301,f13(f36(x2303,a1)),x2303),f36(x2303,a1)),x2303),f22(x2301,x2302,x2303))
% 0.64/0.89 [234]P27(f12(f12(f32(f36(x2341,a1)),f15(x2342,x2343,f36(x2341,a1))),x2343))
% 0.64/0.89 [235]P27(f12(f12(f32(f36(x2351,a1)),f15(x2352,x2353,f36(x2351,a1))),x2352))
% 0.64/0.89 [236]P27(f12(f12(f32(f36(x2361,a1)),f16(x2362,x2363,f36(x2361,a1))),x2362))
% 0.64/0.89 [190]E(f22(x1901,f22(x1902,x1903,x1904),x1904),f22(x1902,f22(x1901,x1903,x1904),x1904))
% 0.64/0.89 [205]E(f14(x2051,f14(x2052,x2053,f36(x2054,a1)),f36(x2054,a1)),f14(x2052,f14(x2051,x2053,f36(x2054,a1)),f36(x2054,a1)))
% 0.64/0.89 [206]E(f15(x2061,f15(x2062,x2063,f36(x2064,a1)),f36(x2064,a1)),f15(x2062,f15(x2061,x2063,f36(x2064,a1)),f36(x2064,a1)))
% 0.64/0.89 [207]E(f14(f14(x2071,x2072,f36(x2073,a1)),x2074,f36(x2073,a1)),f14(x2071,f14(x2072,x2074,f36(x2073,a1)),f36(x2073,a1)))
% 0.64/0.89 [208]E(f15(f15(x2081,x2082,f36(x2083,a1)),x2084,f36(x2083,a1)),f15(x2081,f15(x2082,x2084,f36(x2083,a1)),f36(x2083,a1)))
% 0.64/0.89 [209]E(f16(f15(x2091,x2092,f36(x2093,a1)),x2094,f36(x2093,a1)),f15(x2091,f16(x2092,x2094,f36(x2093,a1)),f36(x2093,a1)))
% 0.64/0.89 [219]E(f15(f14(x2191,x2192,f36(x2193,a1)),f14(x2191,x2194,f36(x2193,a1)),f36(x2193,a1)),f14(x2191,f15(x2192,x2194,f36(x2193,a1)),f36(x2193,a1)))
% 0.64/0.89 [220]E(f14(f15(x2201,x2202,f36(x2203,a1)),f15(x2201,x2204,f36(x2203,a1)),f36(x2203,a1)),f15(x2201,f14(x2202,x2204,f36(x2203,a1)),f36(x2203,a1)))
% 0.64/0.89 [221]E(f16(f15(x2211,x2212,f36(x2213,a1)),f15(x2211,x2214,f36(x2213,a1)),f36(x2213,a1)),f15(x2211,f16(x2212,x2214,f36(x2213,a1)),f36(x2213,a1)))
% 0.64/0.89 [222]E(f15(f16(x2221,x2222,f36(x2223,a1)),f16(x2221,x2224,f36(x2223,a1)),f36(x2223,a1)),f16(x2221,f14(x2222,x2224,f36(x2223,a1)),f36(x2223,a1)))
% 0.64/0.89 [223]E(f14(f16(x2231,x2232,f36(x2233,a1)),f16(x2231,x2234,f36(x2233,a1)),f36(x2233,a1)),f16(x2231,f15(x2232,x2234,f36(x2233,a1)),f36(x2233,a1)))
% 0.64/0.89 [224]E(f15(f14(x2241,x2242,f36(x2243,a1)),f14(x2244,x2242,f36(x2243,a1)),f36(x2243,a1)),f14(f15(x2241,x2244,f36(x2243,a1)),x2242,f36(x2243,a1)))
% 0.64/0.89 [225]E(f14(f15(x2251,x2252,f36(x2253,a1)),f15(x2254,x2252,f36(x2253,a1)),f36(x2253,a1)),f15(f14(x2251,x2254,f36(x2253,a1)),x2252,f36(x2253,a1)))
% 0.64/0.89 [226]E(f16(f15(x2261,x2262,f36(x2263,a1)),f15(x2264,x2262,f36(x2263,a1)),f36(x2263,a1)),f15(f16(x2261,x2264,f36(x2263,a1)),x2262,f36(x2263,a1)))
% 0.64/0.89 [227]E(f14(f16(x2271,x2272,f36(x2273,a1)),f16(x2274,x2272,f36(x2273,a1)),f36(x2273,a1)),f16(f14(x2271,x2274,f36(x2273,a1)),x2272,f36(x2273,a1)))
% 0.64/0.89 [228]E(f16(f15(x2281,x2282,f36(x2283,a1)),f15(x2284,x2282,f36(x2283,a1)),f36(x2283,a1)),f16(f15(x2281,x2282,f36(x2283,a1)),x2284,f36(x2283,a1)))
% 0.64/0.89 [229]E(f16(f16(x2291,x2292,f36(x2293,a1)),f22(x2294,f13(f36(x2293,a1)),x2293),f36(x2293,a1)),f16(x2291,f22(x2294,x2292,x2293),f36(x2293,a1)))
% 0.64/0.89 [231]E(f16(f16(x2311,f22(x2312,f13(f36(x2313,a1)),x2313),f36(x2313,a1)),x2314,f36(x2313,a1)),f16(x2311,f22(x2312,x2314,x2313),f36(x2313,a1)))
% 0.64/0.89 [246]E(f15(f15(f14(x2461,x2462,f36(x2463,a1)),f14(x2462,x2464,f36(x2463,a1)),f36(x2463,a1)),f14(x2464,x2461,f36(x2463,a1)),f36(x2463,a1)),f14(f14(f15(x2461,x2462,f36(x2463,a1)),f15(x2462,x2464,f36(x2463,a1)),f36(x2463,a1)),f15(x2464,x2461,f36(x2463,a1)),f36(x2463,a1)))
% 0.64/0.89 [200]E(f22(x2001,f14(x2002,x2003,f36(x2004,a1)),x2004),f14(x2002,f22(x2001,x2003,x2004),f36(x2004,a1)))
% 0.64/0.89 [201]E(f22(x2011,f14(x2012,x2013,f36(x2014,a1)),x2014),f14(f22(x2011,x2012,x2014),x2013,f36(x2014,a1)))
% 0.64/0.89 [211]E(f15(f22(x2111,x2112,x2113),f22(x2111,x2114,x2113),f36(x2113,a1)),f22(x2111,f15(x2112,x2114,f36(x2113,a1)),x2113))
% 0.64/0.89 [233]E(f31(x2331,f17(x2332,f36(x2333,a1)),x2334,x2333),f17(f31(x2331,x2332,x2334,x2333),f36(x2334,a1)))
% 0.64/0.89 [247]P27(f21(x2471,f31(x2472,f22(f12(x2472,x2471),f13(f36(x2473,a1)),x2473),x2474,x2473),x2474))
% 0.64/0.89 [245]E(f14(f31(x2451,f22(x2452,f13(f36(x2453,a1)),x2453),x2454,x2453),f31(x2451,x2455,x2454,x2453),f36(x2454,a1)),f31(x2451,f22(x2452,x2455,x2453),x2454,x2453))
% 0.64/0.89 [237]E(f18(f18(x2371,x2372,x2373,x2374),x2375,x2373,x2374),f18(x2371,f15(x2372,x2375,f36(x2373,a1)),x2373,x2374))
% 0.64/0.89 [242]E(f14(f31(x2421,x2422,x2423,x2424),f31(x2421,x2425,x2423,x2424),f36(x2423,a1)),f31(x2421,f14(x2422,x2425,f36(x2424,a1)),x2423,x2424))
% 0.64/0.89 [243]E(f15(f31(x2431,x2432,x2433,x2434),f31(x2431,x2435,x2433,x2434),f36(x2433,a1)),f31(x2431,f15(x2432,x2435,f36(x2434,a1)),x2433,x2434))
% 0.64/0.89 [244]E(f16(f31(x2441,x2442,x2443,x2444),f31(x2441,x2445,x2443,x2444),f36(x2443,a1)),f31(x2441,f16(x2442,x2445,f36(x2444,a1)),x2443,x2444))
% 0.64/0.89 [251]E(f12(f4(x2511,x2512,x2513,x2514,x2515),x2516),f12(x2511,f12(x2512,x2516)))
% 0.64/0.89 [252]E(f12(f11(x2521,x2522,x2523,x2524,x2525),x2526),f12(x2522,f12(x2521,x2526)))
% 0.64/0.89 [253]E(f31(f4(x2531,x2532,x2533,x2534,x2535),x2536,x2535,x2534),f31(x2532,f31(x2531,x2536,x2533,x2534),x2535,x2533))
% 0.64/0.89 [254]E(f4(x2541,f4(x2542,x2543,x2544,x2545,x2546),x2545,x2547,x2546),f4(f4(x2541,x2542,x2545,x2547,x2544),x2543,x2544,x2547,x2546))
% 0.64/0.89 [255]E(f11(f11(x2551,x2552,x2553,x2554,x2555),x2556,x2553,x2555,x2557),f11(x2551,f11(x2552,x2556,x2554,x2555,x2557),x2553,x2554,x2557))
% 0.64/0.89 [266]~P4(x2661)+P4(f34(x2661))
% 0.64/0.89 [307]~P19(x3071)+P11(f32(x3071),f13(x3071),x3071)
% 0.64/0.89 [268]~P2(x2681)+E(f17(f20(x2681),x2681),f13(x2681))
% 0.64/0.89 [269]~P2(x2691)+E(f17(f13(x2691),x2691),f20(x2691))
% 0.64/0.89 [308]~P26(x3081)+E(f12(f20(f36(a2,x3081)),a35),f20(x3081))
% 0.64/0.89 [309]~P19(x3091)+E(f12(f13(f36(a2,x3091)),a35),f13(x3091))
% 0.64/0.89 [310]~P5(x3101)+E(f5(f20(f36(x3101,a1)),x3101),f20(x3101))
% 0.64/0.89 [311]~P5(x3111)+E(f5(f13(f36(x3111,a1)),x3111),f13(x3111))
% 0.64/0.89 [267]~P4(x2672)+P7(x2671,x2672)
% 0.64/0.89 [321]~P10(x3212,x3212,x3211)+~P1(x3211)
% 0.64/0.89 [322]~P10(x3222,x3222,x3221)+~P24(x3221)
% 0.64/0.89 [323]~P10(x3232,x3232,x3231)+~P25(x3231)
% 0.64/0.89 [270]~P1(x2702)+P1(f36(x2701,x2702))
% 0.64/0.89 [271]~P2(x2712)+P2(f36(x2711,x2712))
% 0.64/0.89 [272]~P14(x2722)+P14(f36(x2721,x2722))
% 0.64/0.89 [273]~P14(x2732)+P17(f36(x2731,x2732))
% 0.64/0.89 [274]~P14(x2742)+P18(f36(x2741,x2742))
% 0.64/0.89 [275]~P25(x2752)+P25(f36(x2751,x2752))
% 0.64/0.89 [276]~P15(x2762)+P15(f36(x2761,x2762))
% 0.64/0.89 [277]~P3(x2772)+P3(f36(x2771,x2772))
% 0.64/0.89 [278]~P12(x2782)+P12(f36(x2781,x2782))
% 0.64/0.89 [279]~P5(x2792)+P5(f36(x2791,x2792))
% 0.64/0.89 [280]~P16(x2802)+P16(f36(x2801,x2802))
% 0.64/0.89 [281]~P26(x2812)+P26(f36(x2811,x2812))
% 0.64/0.89 [282]~P13(x2822)+P13(f36(x2821,x2822))
% 0.64/0.89 [283]~P19(x2832)+P19(f36(x2831,x2832))
% 0.64/0.89 [296]~P18(x2962)+E(f14(x2961,x2961,x2962),x2961)
% 0.64/0.89 [297]~P17(x2972)+E(f15(x2971,x2971,x2972),x2971)
% 0.64/0.89 [287]~P2(x2872)+E(f17(f17(x2871,x2872),x2872),x2871)
% 0.64/0.89 [289]~P20(x2892)+E(f17(f17(x2891,x2892),x2892),x2891)
% 0.64/0.89 [298]~P16(x2982)+E(f14(x2981,f13(x2982),x2982),x2981)
% 0.64/0.89 [299]~P16(x2992)+E(f15(x2991,f20(x2992),x2992),x2991)
% 0.64/0.89 [300]~P16(x3001)+E(f14(f13(x3001),x3002,x3001),x3002)
% 0.64/0.89 [301]~P16(x3011)+E(f15(f20(x3011),x3012,x3011),x3012)
% 0.64/0.89 [302]~P16(x3022)+E(f14(x3021,f20(x3022),x3022),f20(x3022))
% 0.64/0.89 [303]~P16(x3032)+E(f15(x3031,f13(x3032),x3032),f13(x3032))
% 0.64/0.89 [304]~P16(x3041)+E(f14(f20(x3041),x3042,x3041),f20(x3041))
% 0.64/0.89 [305]~P16(x3051)+E(f15(f13(x3051),x3052,x3051),f13(x3051))
% 0.64/0.89 [312]~P24(x3122)+E(f17(f23(x3121,x3122),f36(x3122,a1)),f25(x3121,x3122))
% 0.64/0.89 [313]~P24(x3132)+E(f17(f28(x3131,x3132),f36(x3132,a1)),f24(x3131,x3132))
% 0.64/0.89 [314]~P24(x3142)+E(f17(f24(x3141,x3142),f36(x3142,a1)),f28(x3141,x3142))
% 0.64/0.89 [315]~P24(x3152)+E(f17(f25(x3151,x3152),f36(x3152,a1)),f23(x3151,x3152))
% 0.64/0.89 [317]~P2(x3172)+E(f14(x3171,f17(x3171,x3172),x3172),f20(x3172))
% 0.64/0.89 [318]~P2(x3182)+E(f15(x3181,f17(x3181,x3182),x3182),f13(x3182))
% 0.64/0.89 [319]~P2(x3192)+E(f14(f17(x3191,x3192),x3191,x3192),f20(x3192))
% 0.64/0.89 [320]~P2(x3202)+E(f15(f17(x3201,x3202),x3201,x3202),f13(x3202))
% 0.64/0.89 [340]~P26(x3401)+P27(f12(f12(f32(x3401),x3402),f20(x3401)))
% 0.64/0.89 [491]~P24(x4912)+E(f14(f28(x4911,x4912),f22(x4911,f13(f36(x4912,a1)),x4912),f36(x4912,a1)),f25(x4911,x4912))
% 0.64/0.89 [492]~P24(x4922)+E(f14(f22(x4921,f13(f36(x4922,a1)),x4922),f23(x4921,x4922),f36(x4922,a1)),f24(x4921,x4922))
% 0.64/0.89 [328]~P1(x3281)+P27(f12(f12(f32(x3281),x3282),x3282))
% 0.64/0.89 [329]~P25(x3291)+P27(f12(f12(f32(x3291),x3292),x3292))
% 0.64/0.89 [341]~P13(x3412)+E(f12(f17(x3411,f36(a2,x3412)),a35),f17(f12(x3411,a35),x3412))
% 0.64/0.89 [342]~P19(x3421)+P27(f12(f12(f32(x3421),f13(x3421)),x3422))
% 0.64/0.89 [350]~P1(x3502)+E(f27(x3501,x3501,x3502),f22(x3501,f13(f36(x3502,a1)),x3502))
% 0.64/0.89 [427]~P1(x4272)+E(f15(f25(x4271,x4272),f24(x4271,x4272),f36(x4272,a1)),f22(x4271,f13(f36(x4272,a1)),x4272))
% 0.64/0.89 [525]~P1(x5252)+E(f16(f22(x5251,f13(f36(x5252,a1)),x5252),f28(x5251,x5252),f36(x5252,a1)),f22(x5251,f13(f36(x5252,a1)),x5252))
% 0.64/0.89 [599]E(x5991,f13(f36(x5992,a1)))+~P27(f12(f12(f32(f36(x5992,a1)),x5991),f13(f36(x5992,a1))))
% 0.64/0.89 [617]E(x6171,f13(f36(x6172,a1)))+~P27(f12(f12(f32(f36(x6172,a1)),x6171),f17(x6171,f36(x6172,a1))))
% 0.64/0.89 [416]~P24(x4162)+E(f9(f22(x4161,f13(f36(x4162,a1)),x4162),x4162),x4161)
% 0.64/0.89 [417]~P5(x4172)+E(f5(f22(x4171,f13(f36(x4172,a1)),x4172),x4172),x4171)
% 0.64/0.89 [418]~P24(x4182)+E(f10(f22(x4181,f13(f36(x4182,a1)),x4182),x4182),x4181)
% 0.64/0.89 [316]E(x3161,x3162)+~P6(x3161,x3162,x3163)
% 0.64/0.89 [330]~P14(x3303)+E(f14(x3301,x3302,x3303),f14(x3302,x3301,x3303))
% 0.64/0.89 [331]~P18(x3313)+E(f14(x3311,x3312,x3313),f14(x3312,x3311,x3313))
% 0.64/0.89 [332]~P14(x3323)+E(f15(x3321,x3322,x3323),f15(x3322,x3321,x3323))
% 0.64/0.89 [333]~P17(x3333)+E(f15(x3331,x3332,x3333),f15(x3332,x3331,x3333))
% 0.64/0.89 [348]~P7(x3482,x3483)+P7(f22(x3481,x3482,x3483),x3483)
% 0.64/0.89 [349]~P27(f12(x3492,x3491))+P27(f21(x3491,x3492,x3493))
% 0.64/0.89 [377]P7(x3771,x3772)+~P7(f22(x3773,x3771,x3772),x3772)
% 0.64/0.89 [378]P27(f12(x3781,x3782))+~P27(f21(x3782,x3781,x3783))
% 0.64/0.89 [403]E(f22(x4031,x4032,x4033),x4032)+~P27(f21(x4031,x4032,x4033))
% 0.64/0.89 [334]E(x3341,x3342)+~E(f17(x3341,f36(x3343,a1)),f17(x3342,f36(x3343,a1)))
% 0.64/0.89 [343]~P2(x3433)+E(f15(x3431,f17(x3432,x3433),x3433),f16(x3431,x3432,x3433))
% 0.64/0.89 [355]~P14(x3553)+E(f14(x3551,f15(x3551,x3552,x3553),x3553),x3551)
% 0.64/0.89 [356]~P14(x3563)+E(f15(x3561,f14(x3561,x3562,x3563),x3563),x3561)
% 0.64/0.89 [364]~P21(x3643)+E(f17(f16(x3641,x3642,x3643),x3643),f16(x3642,x3641,x3643))
% 0.64/0.89 [365]~P7(x3652,x3653)+P7(f15(x3651,x3652,f36(x3653,a1)),x3653)
% 0.64/0.89 [366]~P7(x3661,x3663)+P7(f15(x3661,x3662,f36(x3663,a1)),x3663)
% 0.64/0.89 [367]~P7(x3671,x3673)+P7(f16(x3671,x3672,f36(x3673,a1)),x3673)
% 0.64/0.89 [368]E(x3681,f13(f36(x3682,a1)))+~E(f14(x3683,x3681,f36(x3682,a1)),f13(f36(x3682,a1)))
% 0.64/0.89 [369]E(x3691,f13(f36(x3692,a1)))+~E(f14(x3691,x3693,f36(x3692,a1)),f13(f36(x3692,a1)))
% 0.64/0.89 [380]~P5(x3803)+E(f14(x3801,f5(x3802,x3803),x3803),f5(f22(x3801,x3802,x3803),x3803))
% 0.64/0.89 [396]~P14(x3963)+E(f14(x3961,f14(x3961,x3962,x3963),x3963),f14(x3961,x3962,x3963))
% 0.64/0.89 [397]~P18(x3973)+E(f14(x3971,f14(x3971,x3972,x3973),x3973),f14(x3971,x3972,x3973))
% 0.64/0.89 [398]~P14(x3983)+E(f15(x3981,f15(x3981,x3982,x3983),x3983),f15(x3981,x3982,x3983))
% 0.64/0.89 [399]~P17(x3993)+E(f15(x3991,f15(x3991,x3992,x3993),x3993),f15(x3991,x3992,x3993))
% 0.64/0.89 [419]~P2(x4192)+E(f15(f17(x4191,x4192),f17(x4193,x4192),x4192),f17(f14(x4191,x4193,x4192),x4192))
% 0.64/0.89 [420]~P23(x4202)+E(f15(f17(x4201,x4202),f17(x4203,x4202),x4202),f17(f14(x4201,x4203,x4202),x4202))
% 0.64/0.89 [421]~P2(x4212)+E(f14(f17(x4211,x4212),f17(x4213,x4212),x4212),f17(f15(x4211,x4213,x4212),x4212))
% 0.64/0.89 [422]~P23(x4222)+E(f14(f17(x4221,x4222),f17(x4223,x4222),x4222),f17(f15(x4221,x4223,x4222),x4222))
% 0.64/0.89 [426]E(f16(x4261,x4262,f36(x4263,a1)),x4261)+~E(f15(x4261,x4262,f36(x4263,a1)),f13(f36(x4263,a1)))
% 0.64/0.89 [428]~P1(x4282)+E(f15(f28(x4281,x4282),f27(x4281,x4283,x4282),f36(x4282,a1)),f13(f36(x4282,a1)))
% 0.64/0.89 [429]~P1(x4292)+E(f15(f28(x4291,x4292),f26(x4291,x4293,x4292),f36(x4292,a1)),f13(f36(x4292,a1)))
% 0.64/0.89 [430]~P1(x4302)+E(f15(f25(x4301,x4302),f29(x4301,x4303,x4302),f36(x4302,a1)),f13(f36(x4302,a1)))
% 0.64/0.89 [431]~P1(x4312)+E(f15(f25(x4311,x4312),f30(x4311,x4313,x4312),f36(x4312,a1)),f13(f36(x4312,a1)))
% 0.64/0.89 [432]~P1(x4323)+E(f15(f27(x4321,x4322,x4323),f23(x4322,x4323),f36(x4323,a1)),f13(f36(x4323,a1)))
% 0.64/0.89 [433]~P1(x4333)+E(f15(f29(x4331,x4332,x4333),f23(x4332,x4333),f36(x4333,a1)),f13(f36(x4333,a1)))
% 0.64/0.89 [434]~P1(x4343)+E(f15(f26(x4341,x4342,x4343),f24(x4342,x4343),f36(x4343,a1)),f13(f36(x4343,a1)))
% 0.64/0.89 [435]~P1(x4353)+E(f15(f30(x4351,x4352,x4353),f24(x4352,x4353),f36(x4353,a1)),f13(f36(x4353,a1)))
% 0.64/0.89 [452]P7(x4521,x4522)+~P7(f14(x4523,x4521,f36(x4522,a1)),x4522)
% 0.64/0.89 [453]P7(x4531,x4532)+~P7(f14(x4531,x4533,f36(x4532,a1)),x4532)
% 0.64/0.89 [479]~P14(x4791)+P27(f12(f12(f32(x4791),x4792),f14(x4793,x4792,x4791)))
% 0.64/0.89 [480]~P18(x4801)+P27(f12(f12(f32(x4801),x4802),f14(x4803,x4802,x4801)))
% 0.64/0.89 [481]~P14(x4811)+P27(f12(f12(f32(x4811),x4812),f14(x4812,x4813,x4811)))
% 0.64/0.89 [482]~P18(x4821)+P27(f12(f12(f32(x4821),x4822),f14(x4822,x4823,x4821)))
% 0.64/0.89 [546]P27(f21(x5461,x5462,x5463))+E(f16(f22(x5461,x5462,x5463),f22(x5461,f13(f36(x5463,a1)),x5463),f36(x5463,a1)),x5462)
% 0.64/0.89 [449]~P14(x4493)+E(f14(f12(x4491,a35),f12(x4492,a35),x4493),f12(f14(x4491,x4492,f36(a2,x4493)),a35))
% 0.64/0.89 [450]~P14(x4503)+E(f15(f12(x4501,a35),f12(x4502,a35),x4503),f12(f15(x4501,x4502,f36(a2,x4503)),a35))
% 0.64/0.89 [451]~P3(x4513)+E(f16(f12(x4511,a35),f12(x4512,a35),x4513),f12(f16(x4511,x4512,f36(a2,x4513)),a35))
% 0.64/0.89 [454]~P23(x4542)+E(f17(f15(f17(x4541,x4542),f17(x4543,x4542),x4542),x4542),f14(x4541,x4543,x4542))
% 0.64/0.89 [455]~P23(x4552)+E(f17(f14(f17(x4551,x4552),f17(x4553,x4552),x4552),x4552),f15(x4551,x4553,x4552))
% 0.64/0.89 [493]E(x4931,x4932)+~E(f22(x4931,f13(f36(x4933,a1)),x4933),f22(x4932,f13(f36(x4933,a1)),x4933))
% 0.64/0.89 [502]P27(f21(x5021,x5022,x5023))+P27(f21(x5021,f17(x5022,f36(x5023,a1)),x5023))
% 0.64/0.89 [560]~P14(x5601)+P27(f12(f12(f32(x5601),f15(x5602,x5603,x5601)),x5603))
% 0.64/0.89 [561]~P17(x5611)+P27(f12(f12(f32(x5611),f15(x5612,x5613,x5611)),x5613))
% 0.64/0.89 [562]~P14(x5621)+P27(f12(f12(f32(x5621),f15(x5622,x5623,x5621)),x5622))
% 0.64/0.89 [563]~P17(x5631)+P27(f12(f12(f32(x5631),f15(x5632,x5633,x5631)),x5632))
% 0.64/0.89 [575]~P27(f21(x5751,x5752,x5753))+~P27(f21(x5751,f17(x5752,f36(x5753,a1)),x5753))
% 0.64/0.89 [579]~E(f15(x5792,x5793,f36(x5791,a1)),f13(f36(x5791,a1)))+P27(f12(f12(f32(f36(x5791,a1)),x5792),f17(x5793,f36(x5791,a1))))
% 0.64/0.89 [636]E(f15(x6361,x6362,f36(x6363,a1)),f13(f36(x6363,a1)))+~P27(f12(f12(f32(f36(x6363,a1)),x6361),f17(x6362,f36(x6363,a1))))
% 0.64/0.89 [643]~P27(f21(x6431,x6432,x6433))+E(f22(x6431,f16(x6432,f22(x6431,f13(f36(x6433,a1)),x6433),f36(x6433,a1)),x6433),x6432)
% 0.64/0.89 [519]~P10(x5192,x5193,f36(x5191,a1))+P27(f12(f12(f32(f36(x5191,a1)),x5192),x5193))
% 0.64/0.89 [520]~E(f14(x5202,x5203,f36(x5201,a1)),x5203)+P27(f12(f12(f32(f36(x5201,a1)),x5202),x5203))
% 0.64/0.89 [551]P27(f12(x5511,f6(x5511,x5512,x5513)))+P27(f12(f12(f32(f36(x5513,a1)),x5511),x5512))
% 0.64/0.89 [554]E(f14(x5541,x5542,f36(x5543,a1)),x5542)+~P27(f12(f12(f32(f36(x5543,a1)),x5541),x5542))
% 0.64/0.89 [555]E(f14(x5551,x5552,f36(x5553,a1)),x5551)+~P27(f12(f12(f32(f36(x5553,a1)),x5552),x5551))
% 0.64/0.89 [556]E(f15(x5561,x5562,f36(x5563,a1)),x5562)+~P27(f12(f12(f32(f36(x5563,a1)),x5562),x5561))
% 0.64/0.89 [557]E(f15(x5571,x5572,f36(x5573,a1)),x5571)+~P27(f12(f12(f32(f36(x5573,a1)),x5571),x5572))
% 0.64/0.89 [606]~P27(f12(x6063,f6(x6062,x6063,x6061)))+P27(f12(f12(f32(f36(x6061,a1)),x6062),x6063))
% 0.64/0.89 [607]E(f14(x6071,f16(x6072,x6071,f36(x6073,a1)),f36(x6073,a1)),x6072)+~P27(f12(f12(f32(f36(x6073,a1)),x6071),x6072))
% 0.64/0.89 [654]E(x6541,x6542)+~P27(f21(x6541,f22(x6542,f13(f36(x6543,a1)),x6543),x6543))
% 0.64/0.89 [683]P27(f12(f12(f32(f36(x6831,a1)),f17(x6832,f36(x6831,a1))),f17(x6833,f36(x6831,a1))))+~P27(f12(f12(f32(f36(x6831,a1)),x6833),x6832))
% 0.64/0.89 [699]~P27(f12(f12(f32(f36(x6991,a1)),f17(x6993,f36(x6991,a1))),f17(x6992,f36(x6991,a1))))+P27(f12(f12(f32(f36(x6991,a1)),x6992),x6993))
% 0.64/0.89 [580]~P5(x5803)+E(f5(f22(x5801,f22(x5802,f13(f36(x5803,a1)),x5803),x5803),x5803),f14(x5801,x5802,x5803))
% 0.64/0.89 [605]P8(x6051,x6052,x6053)+~P27(f12(f12(f32(f36(f33(x6053),a1)),x6052),x6051))
% 0.64/0.89 [456]~P27(f12(x4562,x4564))+P27(f12(f22(x4561,x4562,x4563),x4564))
% 0.64/0.89 [471]~P1(x4713)+E(f15(f27(x4711,x4712,x4713),f29(x4712,x4714,x4713),f36(x4713,a1)),f13(f36(x4713,a1)))
% 0.64/0.89 [472]~P1(x4723)+E(f15(f27(x4721,x4722,x4723),f30(x4722,x4724,x4723),f36(x4723,a1)),f13(f36(x4723,a1)))
% 0.64/0.89 [473]~P1(x4733)+E(f15(f29(x4731,x4732,x4733),f29(x4732,x4734,x4733),f36(x4733,a1)),f13(f36(x4733,a1)))
% 0.64/0.89 [474]~P1(x4743)+E(f15(f29(x4741,x4742,x4743),f30(x4742,x4744,x4743),f36(x4743,a1)),f13(f36(x4743,a1)))
% 0.64/0.89 [475]~P1(x4753)+E(f15(f26(x4751,x4752,x4753),f27(x4752,x4754,x4753),f36(x4753,a1)),f13(f36(x4753,a1)))
% 0.64/0.89 [476]~P1(x4763)+E(f15(f26(x4761,x4762,x4763),f26(x4762,x4764,x4763),f36(x4763,a1)),f13(f36(x4763,a1)))
% 0.64/0.89 [477]~P1(x4773)+E(f15(f30(x4771,x4772,x4773),f27(x4772,x4774,x4773),f36(x4773,a1)),f13(f36(x4773,a1)))
% 0.64/0.89 [478]~P1(x4783)+E(f15(f30(x4781,x4782,x4783),f26(x4782,x4784,x4783),f36(x4783,a1)),f13(f36(x4783,a1)))
% 0.64/0.89 [483]~P14(x4834)+E(f14(x4831,f14(x4832,x4833,x4834),x4834),f14(x4832,f14(x4831,x4833,x4834),x4834))
% 0.64/0.89 [484]~P18(x4844)+E(f14(x4841,f14(x4842,x4843,x4844),x4844),f14(x4842,f14(x4841,x4843,x4844),x4844))
% 0.64/0.89 [485]~P14(x4854)+E(f15(x4851,f15(x4852,x4853,x4854),x4854),f15(x4852,f15(x4851,x4853,x4854),x4854))
% 0.64/0.89 [486]~P17(x4864)+E(f15(x4861,f15(x4862,x4863,x4864),x4864),f15(x4862,f15(x4861,x4863,x4864),x4864))
% 0.64/0.89 [487]~P14(x4873)+E(f14(f14(x4871,x4872,x4873),x4874,x4873),f14(x4871,f14(x4872,x4874,x4873),x4873))
% 0.64/0.89 [488]~P18(x4883)+E(f14(f14(x4881,x4882,x4883),x4884,x4883),f14(x4881,f14(x4882,x4884,x4883),x4883))
% 0.64/0.89 [489]~P14(x4893)+E(f15(f15(x4891,x4892,x4893),x4894,x4893),f15(x4891,f15(x4892,x4894,x4893),x4893))
% 0.64/0.89 [490]~P17(x4903)+E(f15(f15(x4901,x4902,x4903),x4904,x4903),f15(x4901,f15(x4902,x4904,x4903),x4903))
% 0.64/0.89 [506]P27(f21(x5062,x5061,x5064))+E(f15(x5061,f22(x5062,x5063,x5064),f36(x5064,a1)),f15(x5061,x5063,f36(x5064,a1)))
% 0.64/0.89 [507]P27(f21(x5071,x5074,x5073))+E(f15(f22(x5071,x5072,x5073),x5074,f36(x5073,a1)),f15(x5072,x5074,f36(x5073,a1)))
% 0.64/0.89 [527]~P15(x5273)+E(f15(f14(x5271,x5272,x5273),f14(x5271,x5274,x5273),x5273),f14(x5271,f15(x5272,x5274,x5273),x5273))
% 0.64/0.89 [528]~P15(x5283)+E(f14(f15(x5281,x5282,x5283),f15(x5281,x5284,x5283),x5283),f15(x5281,f14(x5282,x5284,x5283),x5283))
% 0.64/0.89 [529]~P15(x5293)+E(f15(f14(x5291,x5292,x5293),f14(x5294,x5292,x5293),x5293),f14(f15(x5291,x5294,x5293),x5292,x5293))
% 0.64/0.89 [530]~P15(x5303)+E(f14(f15(x5301,x5302,x5303),f15(x5304,x5302,x5303),x5303),f15(f14(x5301,x5304,x5303),x5302,x5303))
% 0.64/0.89 [531]~P27(f21(x5311,x5314,x5313))+E(f16(f22(x5311,x5312,x5313),x5314,f36(x5313,a1)),f16(x5312,x5314,f36(x5313,a1)))
% 0.64/0.89 [544]~P27(f21(x5441,x5443,x5444))+P27(f21(x5441,f22(x5442,x5443,x5444),x5444))
% 0.64/0.89 [598]~P7(f16(x5981,x5983,f36(x5984,a1)),x5984)+P7(f16(x5981,f22(x5982,x5983,x5984),f36(x5984,a1)),x5984)
% 0.64/0.89 [627]~P7(f16(x6271,f22(x6274,x6272,x6273),f36(x6273,a1)),x6273)+P7(f16(x6271,x6272,f36(x6273,a1)),x6273)
% 0.64/0.89 [508]~P27(f12(x5082,x5084))+P27(f12(f14(x5081,x5082,f36(x5083,a1)),x5084))
% 0.64/0.89 [509]~P27(f12(x5091,x5094))+P27(f12(f14(x5091,x5092,f36(x5093,a1)),x5094))
% 0.64/0.89 [545]P27(f21(x5451,x5454,x5453))+E(f16(f22(x5451,x5452,x5453),x5454,f36(x5453,a1)),f22(x5451,f16(x5452,x5454,f36(x5453,a1)),x5453))
% 0.64/0.89 [569]P27(f12(x5691,x5692))+~P27(f12(f15(x5693,x5691,f36(x5694,a1)),x5692))
% 0.64/0.89 [570]P27(f12(x5701,x5702))+~P27(f12(f15(x5701,x5703,f36(x5704,a1)),x5702))
% 0.64/0.89 [571]~P27(f21(x5711,x5712,x5714))+E(f22(x5711,f15(x5712,x5713,f36(x5714,a1)),x5714),f15(x5712,f22(x5711,x5713,x5714),f36(x5714,a1)))
% 0.64/0.89 [572]~P27(f21(x5721,x5723,x5724))+E(f22(x5721,f15(x5722,x5723,f36(x5724,a1)),x5724),f15(f22(x5721,x5722,x5724),x5723,f36(x5724,a1)))
% 0.64/0.89 [577]~P27(f21(x5771,x5773,x5774))+P27(f21(x5771,f14(x5772,x5773,f36(x5774,a1)),x5774))
% 0.64/0.89 [578]~P27(f21(x5781,x5782,x5784))+P27(f21(x5781,f14(x5782,x5783,f36(x5784,a1)),x5784))
% 0.64/0.89 [628]P27(f21(x6281,x6282,x6283))+~P27(f21(x6281,f15(x6284,x6282,f36(x6283,a1)),x6283))
% 0.64/0.89 [629]P27(f21(x6291,x6292,x6293))+~P27(f21(x6291,f15(x6292,x6294,f36(x6293,a1)),x6293))
% 0.64/0.89 [630]P27(f21(x6301,x6302,x6303))+~P27(f21(x6301,f16(x6302,x6304,f36(x6303,a1)),x6303))
% 0.64/0.89 [649]~P27(f21(x6491,x6492,x6493))+~P27(f21(x6491,f16(x6494,x6492,f36(x6493,a1)),x6493))
% 0.64/0.89 [690]P27(f21(x6901,x6902,x6903))+~P27(f12(f12(f32(f36(x6903,a1)),f22(x6901,x6904,x6903)),x6902))
% 0.64/0.89 [722]~P14(x7221)+P27(f12(f12(f32(x7221),f14(x7222,f15(x7223,x7224,x7221),x7221)),f15(f14(x7222,x7223,x7221),f14(x7222,x7224,x7221),x7221)))
% 0.64/0.89 [723]~P14(x7231)+P27(f12(f12(f32(x7231),f14(f15(x7232,x7233,x7231),f15(x7232,x7234,x7231),x7231)),f15(x7232,f14(x7233,x7234,x7231),x7231)))
% 0.64/0.89 [668]E(f15(x6681,f14(x6682,x6683,f36(x6684,a1)),f36(x6684,a1)),f14(f15(x6681,x6682,f36(x6684,a1)),x6683,f36(x6684,a1)))+~P27(f12(f12(f32(f36(x6684,a1)),x6683),x6681))
% 0.64/0.89 [673]P27(f12(f12(f32(f36(x6731,a1)),x6732),f22(x6733,x6734,x6731)))+~P27(f12(f12(f32(f36(x6731,a1)),x6732),x6734))
% 0.64/0.89 [675]~E(f15(x6753,f14(x6754,x6752,f36(x6751,a1)),f36(x6751,a1)),f14(f15(x6753,x6754,f36(x6751,a1)),x6752,f36(x6751,a1)))+P27(f12(f12(f32(f36(x6751,a1)),x6752),x6753))
% 0.64/0.89 [687]~P27(f12(f12(f32(f36(x6871,a1)),x6872),f15(x6874,x6873,f36(x6871,a1))))+P27(f12(f12(f32(f36(x6871,a1)),x6872),x6873))
% 0.64/0.89 [688]~P27(f12(f12(f32(f36(x6881,a1)),x6882),f15(x6883,x6884,f36(x6881,a1))))+P27(f12(f12(f32(f36(x6881,a1)),x6882),x6883))
% 0.64/0.89 [697]P27(f12(f12(f32(f36(x6971,a1)),f22(x6972,x6973,x6971)),f22(x6972,x6974,x6971)))+~P27(f12(f12(f32(f36(x6971,a1)),x6973),x6974))
% 0.64/0.89 [698]~P27(f12(f12(f32(f36(x6981,a1)),f22(x6984,x6982,x6981)),x6983))+P27(f12(f12(f32(f36(x6981,a1)),x6982),x6983))
% 0.64/0.89 [707]P27(f12(f12(f32(f36(x7071,a1)),x7072),x7073))+~P27(f12(f12(f32(f36(x7071,a1)),f14(x7074,x7072,f36(x7071,a1))),x7073))
% 0.64/0.89 [708]P27(f12(f12(f32(f36(x7081,a1)),x7082),x7083))+~P27(f12(f12(f32(f36(x7081,a1)),f14(x7082,x7084,f36(x7081,a1))),x7083))
% 0.64/0.89 [715]~P27(f12(f12(f32(f36(x7151,a1)),x7152),f14(x7153,x7154,f36(x7151,a1))))+P27(f12(f12(f32(f36(x7151,a1)),f16(x7152,x7153,f36(x7151,a1))),x7154))
% 0.64/0.89 [718]P27(f12(f12(f32(f36(x7181,a1)),x7182),f14(x7183,x7184,f36(x7181,a1))))+~P27(f12(f12(f32(f36(x7181,a1)),f16(x7182,x7183,f36(x7181,a1))),x7184))
% 0.64/0.89 [644]P9(x6441,x6442,x6443,x6444)+~P9(x6441,f22(x6445,x6442,x6443),x6443,x6444)
% 0.64/0.89 [593]P27(f21(x5935,x5932,x5933))+E(f12(f18(x5931,x5932,x5933,x5934),x5935),f19(x5934))
% 0.64/0.89 [612]~P27(f21(x6125,x6122,x6123))+E(f12(f18(x6121,x6122,x6123,x6124),x6125),f12(x6121,x6125))
% 0.64/0.89 [641]~P9(x6411,x6412,x6414,x6415)+P9(x6411,f16(x6412,x6413,f36(x6414,a1)),x6414,x6415)
% 0.64/0.89 [660]P9(x6601,x6602,x6603,x6604)+~P9(x6601,f14(x6605,x6602,f36(x6603,a1)),x6603,x6604)
% 0.64/0.89 [661]P9(x6611,x6612,x6613,x6614)+~P9(x6611,f14(x6612,x6615,f36(x6613,a1)),x6613,x6614)
% 0.64/0.89 [681]~P27(f12(x6812,f12(x6811,x6815)))+P27(f12(f31(x6811,x6812,x6813,x6814),x6815))
% 0.64/0.89 [696]~P27(f21(f12(x6962,x6961),x6963,x6965))+P27(f21(x6961,f31(x6962,x6963,x6964,x6965),x6964))
% 0.64/0.89 [704]P27(f12(x7041,f12(x7042,x7043)))+~P27(f12(f31(x7042,x7041,x7044,x7045),x7043))
% 0.64/0.89 [717]~P27(f21(x7172,f31(x7171,x7173,x7175,x7174),x7175))+P27(f21(f12(x7171,x7172),x7173,x7174))
% 0.64/0.89 [726]P27(f12(f12(f32(f36(x7261,a1)),f31(x7262,x7263,x7261,x7264)),f31(x7262,x7265,x7261,x7264)))+~P27(f12(f12(f32(f36(x7264,a1)),x7263),x7265))
% 0.64/0.89 [724]E(f12(x7241,x7242),x7243)+~P27(f21(x7242,f31(x7241,f22(x7243,f13(f36(x7244,a1)),x7244),x7245,x7244),x7245))
% 0.64/0.89 [727]~E(f4(x7271,x7272,x7275,x7276,x7277),f4(f3(x7276),x7274,x7276,x7276,x7277))+E(f12(x7271,f12(x7272,x7273)),f12(x7274,x7273))
% 0.64/0.89 [728]~E(f4(x7281,x7282,x7286,x7287,x7288),f4(x7284,x7285,x7289,x7287,x7288))+E(f12(x7281,f12(x7282,x7283)),f12(x7284,f12(x7285,x7283)))
% 0.64/0.89 [731]~E(f12(x7311,f12(x7312,x7316)),f12(x7317,f12(x7318,x73111)))+E(f12(f4(x7311,x7312,x7313,x7314,x7315),x7316),f12(f4(x7317,x7318,x7319,x7314,x73110),x73111))
% 0.64/0.89 [284]~P4(x2842)+~P4(x2841)+P4(f36(x2841,x2842))
% 0.64/0.89 [384]~P7(x3841,x3842)+P7(f17(x3841,f36(x3842,a1)),x3842)+~P7(f20(f36(x3842,a1)),x3842)
% 0.64/0.89 [400]~P7(x4002,x4001)+~P7(f17(x4002,f36(x4001,a1)),x4001)+P7(f20(f36(x4001,a1)),x4001)
% 0.64/0.89 [358]~P10(x3583,x3582,x3581)+~P1(x3581)+~P10(x3582,x3583,x3581)
% 0.64/0.89 [359]~P10(x3593,x3592,x3591)+~P24(x3591)+~P10(x3592,x3593,x3591)
% 0.64/0.89 [361]~P10(x3613,x3612,x3611)+~P25(x3611)+~P10(x3612,x3613,x3611)
% 0.64/0.89 [290]~P2(x2903)+E(x2901,x2902)+~E(f17(x2901,x2903),f17(x2902,x2903))
% 0.64/0.89 [291]~P20(x2913)+E(x2911,x2912)+~E(f17(x2911,x2913),f17(x2912,x2913))
% 0.64/0.89 [292]~P24(x2923)+E(x2921,x2922)+~E(f23(x2921,x2923),f23(x2922,x2923))
% 0.64/0.89 [293]~P24(x2933)+E(x2931,x2932)+~E(f28(x2931,x2933),f28(x2932,x2933))
% 0.64/0.89 [294]~P24(x2943)+E(x2941,x2942)+~E(f24(x2941,x2943),f24(x2942,x2943))
% 0.64/0.89 [295]~P24(x2953)+E(x2951,x2952)+~E(f25(x2951,x2953),f25(x2952,x2953))
% 0.64/0.89 [324]~P16(x3242)+~E(f15(x3243,x3241,x3242),f20(x3242))+E(x3241,f20(x3242))
% 0.64/0.89 [325]~P16(x3252)+~E(f14(x3253,x3251,x3252),f13(x3252))+E(x3251,f13(x3252))
% 0.64/0.89 [326]~P16(x3262)+~E(f15(x3261,x3263,x3262),f20(x3262))+E(x3261,f20(x3262))
% 0.64/0.89 [327]~P16(x3272)+~E(f14(x3271,x3273,x3272),f13(x3272))+E(x3271,f13(x3272))
% 0.64/0.89 [374]~P22(x3742)+~P10(x3743,x3741,x3742)+P10(f17(x3741,x3742),f17(x3743,x3742),x3742)
% 0.64/0.89 [386]~P22(x3863)+~P10(x3862,f17(x3861,x3863),x3863)+P10(x3861,f17(x3862,x3863),x3863)
% 0.64/0.89 [388]~P22(x3882)+~P10(f17(x3883,x3882),x3881,x3882)+P10(f17(x3881,x3882),x3883,x3882)
% 0.64/0.89 [402]~P22(x4023)+P10(x4021,x4022,x4023)+~P10(f17(x4022,x4023),f17(x4021,x4023),x4023)
% 0.64/0.89 [344]P10(x3441,x3442,x3443)+~P1(x3443)+E(f29(x3441,x3442,x3443),f13(f36(x3443,a1)))
% 0.64/0.89 [345]P10(x3451,x3452,x3453)+~P1(x3453)+E(f26(x3451,x3452,x3453),f13(f36(x3453,a1)))
% 0.64/0.89 [346]P10(x3462,x3463,x3461)+~P1(x3461)+E(f13(f36(x3461,a1)),f29(x3462,x3463,x3461))
% 0.64/0.89 [347]P10(x3472,x3473,x3471)+~P1(x3471)+E(f13(f36(x3471,a1)),f26(x3472,x3473,x3471))
% 0.64/0.89 [357]~P1(x3573)+~P10(x3572,x3571,x3573)+E(f27(x3571,x3572,x3573),f13(f36(x3573,a1)))
% 0.64/0.89 [382]~P7(x3822,x3823)+~P7(x3821,x3823)+P7(f14(x3821,x3822,f36(x3823,a1)),x3823)
% 0.64/0.89 [392]~P1(x3923)+~P10(x3921,x3922,x3923)+~E(f29(x3921,x3922,x3923),f13(f36(x3923,a1)))
% 0.64/0.89 [393]~P1(x3933)+~P10(x3931,x3932,x3933)+~E(f26(x3931,x3932,x3933),f13(f36(x3933,a1)))
% 0.64/0.89 [394]~P1(x3941)+~P10(x3942,x3943,x3941)+~E(f13(f36(x3941,a1)),f29(x3942,x3943,x3941))
% 0.64/0.89 [395]~P1(x3951)+~P10(x3952,x3953,x3951)+~E(f13(f36(x3951,a1)),f26(x3952,x3953,x3951))
% 0.64/0.89 [443]~P12(x4433)+~P10(x4432,x4431,x4433)+P27(f21(x4431,f23(x4432,x4433),x4433))
% 0.64/0.89 [444]~P12(x4443)+~P10(x4441,x4442,x4443)+P27(f21(x4441,f28(x4442,x4443),x4443))
% 0.64/0.89 [457]P7(x4571,x4572)+~P7(x4573,x4572)+~P7(f16(x4571,x4573,f36(x4572,a1)),x4572)
% 0.64/0.89 [464]~P24(x4642)+~P10(x4641,x4643,x4642)+E(f14(f25(x4641,x4642),f30(x4641,x4643,x4642),f36(x4642,a1)),f28(x4643,x4642))
% 0.64/0.89 [465]~P24(x4653)+~P10(x4651,x4652,x4653)+E(f14(f30(x4651,x4652,x4653),f24(x4652,x4653),f36(x4653,a1)),f23(x4651,x4653))
% 0.64/0.89 [466]~P12(x4663)+P10(x4661,x4662,x4663)+~P27(f21(x4662,f23(x4661,x4663),x4663))
% 0.64/0.89 [467]~P12(x4673)+P10(x4671,x4672,x4673)+~P27(f21(x4671,f28(x4672,x4673),x4673))
% 0.64/0.89 [497]~P5(x4971)+~P27(f21(x4972,x4973,x4971))+P27(f12(f12(f32(x4971),x4972),f5(x4973,x4971)))
% 0.64/0.89 [522]~P22(x5221)+~P27(f12(f12(f32(x5221),x5223),f17(x5222,x5221)))+P27(f12(f12(f32(x5221),x5222),f17(x5223,x5221)))
% 0.64/0.89 [564]~P24(x5643)+~P10(x5641,x5642,x5643)+E(f14(f30(x5641,x5642,x5643),f22(x5642,f13(f36(x5643,a1)),x5643),f36(x5643,a1)),f29(x5641,x5642,x5643))
% 0.64/0.89 [565]~P24(x5652)+~P10(x5651,x5653,x5652)+E(f14(f22(x5651,f13(f36(x5652,a1)),x5652),f30(x5651,x5653,x5652),f36(x5652,a1)),f26(x5651,x5653,x5652))
% 0.64/0.89 [353]~P24(x3533)+P10(x3531,x3532,x3533)+P27(f12(f12(f32(x3533),x3532),x3531))
% 0.64/0.89 [370]~P1(x3703)+E(f27(x3701,x3702,x3703),f13(f36(x3703,a1)))+P27(f12(f12(f32(x3703),x3701),x3702))
% 0.64/0.89 [371]~P1(x3711)+E(f13(f36(x3711,a1)),f27(x3712,x3713,x3711))+P27(f12(f12(f32(x3711),x3712),x3713))
% 0.64/0.89 [372]~P1(x3721)+~P10(x3722,x3723,x3721)+P27(f12(f12(f32(x3721),x3722),x3723))
% 0.64/0.89 [373]~P25(x3731)+~P10(x3732,x3733,x3731)+P27(f12(f12(f32(x3731),x3732),x3733))
% 0.64/0.89 [375]~P18(x3751)+~E(f14(x3752,x3753,x3751),x3753)+P27(f12(f12(f32(x3751),x3752),x3753))
% 0.64/0.89 [376]~P17(x3761)+~E(f15(x3762,x3763,x3761),x3762)+P27(f12(f12(f32(x3761),x3762),x3763))
% 0.64/0.89 [389]~P24(x3891)+P27(f12(f12(f32(x3891),x3893),x3892))+P27(f12(f12(f32(x3891),x3892),x3893))
% 0.64/0.89 [404]~P18(x4043)+E(f14(x4041,x4042,x4043),x4042)+~P27(f12(f12(f32(x4043),x4041),x4042))
% 0.64/0.89 [405]~P18(x4053)+E(f14(x4051,x4052,x4053),x4051)+~P27(f12(f12(f32(x4053),x4052),x4051))
% 0.64/0.89 [406]~P17(x4063)+E(f15(x4061,x4062,x4063),x4062)+~P27(f12(f12(f32(x4063),x4062),x4061))
% 0.64/0.89 [407]~P17(x4073)+E(f15(x4071,x4072,x4073),x4071)+~P27(f12(f12(f32(x4073),x4071),x4072))
% 0.64/0.89 [440]~P1(x4403)+E(f29(x4401,x4402,x4403),f13(f36(x4403,a1)))+~P27(f12(f12(f32(x4403),x4402),x4401))
% 0.64/0.89 [441]~P1(x4413)+E(f26(x4411,x4412,x4413),f13(f36(x4413,a1)))+~P27(f12(f12(f32(x4413),x4412),x4411))
% 0.64/0.89 [442]~P1(x4423)+E(f30(x4421,x4422,x4423),f13(f36(x4423,a1)))+~P27(f12(f12(f32(x4423),x4422),x4421))
% 0.64/0.89 [446]~P24(x4461)+~P10(x4462,x4463,x4461)+~P27(f12(f12(f32(x4461),x4463),x4462))
% 0.64/0.89 [448]~P25(x4481)+~P10(x4482,x4483,x4481)+~P27(f12(f12(f32(x4481),x4483),x4482))
% 0.64/0.89 [458]~P1(x4583)+~E(f27(x4581,x4582,x4583),f13(f36(x4583,a1)))+~P27(f12(f12(f32(x4583),x4581),x4582))
% 0.64/0.89 [459]~P1(x4591)+~E(f13(f36(x4591,a1)),f27(x4592,x4593,x4591))+~P27(f12(f12(f32(x4591),x4592),x4593))
% 0.64/0.89 [495]~P12(x4953)+P27(f21(x4951,f24(x4952,x4953),x4953))+~P27(f12(f12(f32(x4953),x4952),x4951))
% 0.64/0.89 [496]~P12(x4963)+P27(f21(x4961,f25(x4962,x4963),x4963))+~P27(f12(f12(f32(x4963),x4961),x4962))
% 0.64/0.89 [504]~P12(x5041)+~P27(f21(x5043,f24(x5042,x5041),x5041))+P27(f12(f12(f32(x5041),x5042),x5043))
% 0.64/0.89 [505]~P12(x5051)+~P27(f21(x5052,f25(x5053,x5051),x5051))+P27(f12(f12(f32(x5051),x5052),x5053))
% 0.64/0.89 [512]~P24(x5122)+E(f14(f28(x5121,x5122),f27(x5121,x5123,x5122),f36(x5122,a1)),f25(x5123,x5122))+~P27(f12(f12(f32(x5122),x5121),x5123))
% 0.64/0.89 [513]~P24(x5132)+E(f14(f28(x5131,x5132),f26(x5131,x5133,x5132),f36(x5132,a1)),f28(x5133,x5132))+~P27(f12(f12(f32(x5132),x5131),x5133))
% 0.64/0.89 [514]~P24(x5142)+E(f14(f25(x5141,x5142),f29(x5141,x5143,x5142),f36(x5142,a1)),f25(x5143,x5142))+~P27(f12(f12(f32(x5142),x5141),x5143))
% 0.64/0.89 [515]~P24(x5153)+E(f14(f27(x5151,x5152,x5153),f23(x5152,x5153),f36(x5153,a1)),f24(x5151,x5153))+~P27(f12(f12(f32(x5153),x5151),x5152))
% 0.64/0.89 [516]~P24(x5163)+E(f14(f29(x5161,x5162,x5163),f23(x5162,x5163),f36(x5163,a1)),f23(x5161,x5163))+~P27(f12(f12(f32(x5163),x5161),x5162))
% 0.64/0.89 [517]~P24(x5173)+E(f14(f26(x5171,x5172,x5173),f24(x5172,x5173),f36(x5173,a1)),f24(x5171,x5173))+~P27(f12(f12(f32(x5173),x5171),x5172))
% 0.64/0.89 [532]~P22(x5321)+P27(f12(f12(f32(x5321),f17(x5322,x5321)),f17(x5323,x5321)))+~P27(f12(f12(f32(x5321),x5323),x5322))
% 0.64/0.89 [550]~P22(x5501)+~P27(f12(f12(f32(x5501),f17(x5503,x5501)),f17(x5502,x5501)))+P27(f12(f12(f32(x5501),x5502),x5503))
% 0.64/0.89 [568]~P22(x5681)+~P27(f12(f12(f32(x5681),f17(x5683,x5681)),x5682))+P27(f12(f12(f32(x5681),f17(x5682,x5681)),x5683))
% 0.64/0.89 [589]~P24(x5891)+P27(f12(f12(f32(f36(x5891,a1)),f23(x5892,x5891)),f23(x5893,x5891)))+~P27(f12(f12(f32(x5891),x5893),x5892))
% 0.64/0.89 [590]~P24(x5901)+P27(f12(f12(f32(f36(x5901,a1)),f28(x5902,x5901)),f28(x5903,x5901)))+~P27(f12(f12(f32(x5901),x5902),x5903))
% 0.64/0.89 [591]~P1(x5911)+P27(f12(f12(f32(f36(x5911,a1)),f24(x5912,x5911)),f24(x5913,x5911)))+~P27(f12(f12(f32(x5911),x5913),x5912))
% 0.64/0.89 [592]~P1(x5921)+P27(f12(f12(f32(f36(x5921,a1)),f25(x5922,x5921)),f25(x5923,x5921)))+~P27(f12(f12(f32(x5921),x5922),x5923))
% 0.64/0.89 [595]~P24(x5953)+E(f14(f26(x5951,x5952,x5953),f22(x5952,f13(f36(x5953,a1)),x5953),f36(x5953,a1)),f27(x5951,x5952,x5953))+~P27(f12(f12(f32(x5953),x5951),x5952))
% 0.64/0.89 [596]~P24(x5962)+E(f14(f22(x5961,f13(f36(x5962,a1)),x5962),f29(x5961,x5963,x5962),f36(x5962,a1)),f27(x5961,x5963,x5962))+~P27(f12(f12(f32(x5962),x5961),x5963))
% 0.64/0.89 [645]~P1(x6451)+~P27(f12(f12(f32(f36(x6451,a1)),f24(x6453,x6451)),f24(x6452,x6451)))+P27(f12(f12(f32(x6451),x6452),x6453))
% 0.64/0.89 [646]~P1(x6461)+~P27(f12(f12(f32(f36(x6461,a1)),f25(x6462,x6461)),f25(x6463,x6461)))+P27(f12(f12(f32(x6461),x6462),x6463))
% 0.64/0.89 [647]~P24(x6471)+~P27(f12(f12(f32(f36(x6471,a1)),f23(x6473,x6471)),f23(x6472,x6471)))+P27(f12(f12(f32(x6471),x6472),x6473))
% 0.64/0.89 [648]~P24(x6481)+~P27(f12(f12(f32(f36(x6481,a1)),f28(x6482,x6481)),f28(x6483,x6481)))+P27(f12(f12(f32(x6481),x6482),x6483))
% 0.64/0.89 [540]P7(x5401,x5402)+~P7(x5403,x5402)+~P27(f12(f12(f32(f36(x5402,a1)),x5401),x5403))
% 0.64/0.89 [559]E(x5591,x5592)+P10(x5591,x5592,f36(x5593,a1))+~P27(f12(f12(f32(f36(x5593,a1)),x5591),x5592))
% 0.64/0.89 [667]E(x6671,x6672)+~P27(f12(f12(f32(f36(x6673,a1)),x6672),x6671))+~P27(f12(f12(f32(f36(x6673,a1)),x6671),x6672))
% 0.64/0.89 [691]E(x6911,f13(f36(x6912,a1)))+E(x6911,f22(x6913,f13(f36(x6912,a1)),x6912))+~P27(f12(f12(f32(f36(x6912,a1)),x6911),f22(x6913,f13(f36(x6912,a1)),x6912)))
% 0.64/0.89 [401]~P8(x4011,x4014,x4013)+P8(x4011,x4012,x4013)+~P8(x4014,x4012,x4013)
% 0.64/0.89 [362]~P21(x3624)+E(x3621,x3622)+~E(f16(x3623,x3623,x3624),f16(x3621,x3622,x3624))
% 0.64/0.89 [363]~P21(x3633)+E(x3631,x3632)+~E(f16(x3631,x3632,x3633),f16(x3634,x3634,x3633))
% 0.64/0.89 [436]~P18(x4364)+~P10(x4361,x4363,x4364)+P10(x4361,f14(x4362,x4363,x4364),x4364)
% 0.64/0.89 [437]~P18(x4374)+~P10(x4371,x4372,x4374)+P10(x4371,f14(x4372,x4373,x4374),x4374)
% 0.64/0.89 [438]~P17(x4383)+~P10(x4382,x4384,x4383)+P10(f15(x4381,x4382,x4383),x4384,x4383)
% 0.64/0.89 [439]~P17(x4393)+~P10(x4391,x4394,x4393)+P10(f15(x4391,x4392,x4393),x4394,x4393)
% 0.64/0.89 [470]~P10(x4701,x4704,f36(x4703,a1))+~P10(x4704,x4702,f36(x4703,a1))+P10(x4701,x4702,f36(x4703,a1))
% 0.64/0.89 [518]~P10(x5184,x5182,f36(x5183,a1))+P27(f21(x5181,x5182,x5183))+~P27(f21(x5181,x5184,x5183))
% 0.64/0.89 [538]~P10(x5381,x5383,f36(x5384,a1))+P10(x5381,f22(x5382,x5383,x5384),f36(x5384,a1))+~P27(f21(x5382,x5383,x5384))
% 0.64/0.89 [566]~P10(x5661,f22(x5664,x5662,x5663),f36(x5663,a1))+P10(x5661,x5662,f36(x5663,a1))+~P27(f21(x5664,x5662,x5663))
% 0.64/0.89 [524]E(x5241,x5242)+P27(f12(x5243,x5241))+~P27(f12(f22(x5242,x5243,x5244),x5241))
% 0.64/0.89 [547]~P27(f21(x5474,x5472,x5473))+~P27(f21(x5474,x5471,x5473))+~E(f15(x5471,x5472,f36(x5473,a1)),f13(f36(x5473,a1)))
% 0.64/0.89 [594]E(x5941,x5942)+P27(f21(x5941,x5943,x5944))+~P27(f21(x5941,f22(x5942,x5943,x5944),x5944))
% 0.64/0.89 [633]~P8(x6331,x6333,x6334)+P8(x6331,f22(x6332,x6333,f33(x6334)),x6334)+~P8(x6331,f22(x6332,f13(f36(f33(x6334),a1)),f33(x6334)),x6334)
% 0.64/0.89 [674]~P7(x6742,x6744)+P7(f31(x6741,x6742,x6743,x6744),x6743)+~P9(x6741,f20(f36(x6743,a1)),x6743,x6744)
% 0.64/0.89 [526]~P27(f12(x5262,x5264))+~P27(f12(x5261,x5264))+P27(f12(f15(x5261,x5262,f36(x5263,a1)),x5264))
% 0.64/0.89 [541]~P18(x5411)+P27(f12(f12(f32(x5411),x5412),f14(x5413,x5414,x5411)))+~P27(f12(f12(f32(x5411),x5412),x5414))
% 0.64/0.89 [542]~P18(x5421)+P27(f12(f12(f32(x5421),x5422),f14(x5423,x5424,x5421)))+~P27(f12(f12(f32(x5421),x5422),x5423))
% 0.64/0.89 [549]~P24(x5493)+E(f16(f26(x5491,x5492,x5493),f26(x5491,x5494,x5493),f36(x5493,a1)),f26(x5494,x5492,x5493))+~P27(f12(f12(f32(x5493),x5491),x5494))
% 0.64/0.89 [576]P27(f12(x5761,x5762))+P27(f12(x5763,x5762))+~P27(f12(f14(x5761,x5763,f36(x5764,a1)),x5762))
% 0.64/0.89 [586]~P17(x5861)+~P27(f12(f12(f32(x5861),x5862),f15(x5864,x5863,x5861)))+P27(f12(f12(f32(x5861),x5862),x5863))
% 0.64/0.89 [588]~P17(x5881)+~P27(f12(f12(f32(x5881),x5882),f15(x5883,x5884,x5881)))+P27(f12(f12(f32(x5881),x5882),x5883))
% 0.64/0.89 [614]~P27(f21(x6141,x6144,x6143))+P27(f21(x6141,x6142,x6143))+P27(f21(x6141,f16(x6144,x6142,f36(x6143,a1)),x6143))
% 0.64/0.89 [615]~P17(x6151)+~P27(f12(f12(f32(x6151),x6153),x6154))+P27(f12(f12(f32(x6151),f15(x6152,x6153,x6151)),x6154))
% 0.64/0.89 [616]~P17(x6161)+~P27(f12(f12(f32(x6161),x6162),x6164))+P27(f12(f12(f32(x6161),f15(x6162,x6163,x6161)),x6164))
% 0.64/0.89 [632]~P27(f21(x6321,x6323,x6324))+~P27(f21(x6321,x6322,x6324))+P27(f21(x6321,f15(x6322,x6323,f36(x6324,a1)),x6324))
% 0.64/0.89 [662]P27(f21(x6621,x6622,x6623))+P27(f21(x6621,x6624,x6623))+~P27(f21(x6621,f14(x6622,x6624,f36(x6623,a1)),x6623))
% 0.64/0.89 [670]~P18(x6701)+~P27(f12(f12(f32(x6701),f14(x6704,x6702,x6701)),x6703))+P27(f12(f12(f32(x6701),x6702),x6703))
% 0.64/0.89 [672]~P18(x6721)+~P27(f12(f12(f32(x6721),f14(x6722,x6724,x6721)),x6723))+P27(f12(f12(f32(x6721),x6722),x6723))
% 0.64/0.89 [533]~P12(x5332)+~P10(x5333,x5334,f36(x5331,x5332))+P27(f12(f12(f32(f36(x5331,x5332)),x5333),x5334))
% 0.64/0.89 [553]P27(f12(x5531,x5532))+~P27(f12(x5533,x5532))+~P27(f12(f12(f32(f36(x5534,a1)),x5533),x5531))
% 0.64/0.89 [597]~P12(x5971)+~P10(x5972,x5973,f36(x5974,x5971))+~P27(f12(f12(f32(f36(x5974,x5971)),x5973),x5972))
% 0.64/0.89 [600]~P10(x6004,x6002,f36(x6003,a1))+P10(x6001,x6002,f36(x6003,a1))+~P27(f12(f12(f32(f36(x6003,a1)),x6001),x6004))
% 0.64/0.89 [601]~P10(x6011,x6014,f36(x6013,a1))+P10(x6011,x6012,f36(x6013,a1))+~P27(f12(f12(f32(f36(x6013,a1)),x6014),x6012))
% 0.64/0.89 [623]P27(f21(x6231,x6232,x6233))+~P27(f21(x6231,x6234,x6233))+~P27(f12(f12(f32(f36(x6233,a1)),x6234),x6232))
% 0.64/0.89 [680]E(f16(x6801,f16(x6802,x6803,f36(x6804,a1)),f36(x6804,a1)),x6803)+~P27(f12(f12(f32(f36(x6804,a1)),x6803),x6801))+~P27(f12(f12(f32(f36(x6804,a1)),x6801),x6802))
% 0.64/0.89 [685]P27(f21(x6851,x6852,x6853))+~P27(f12(f12(f32(f36(x6853,a1)),x6852),f22(x6851,x6854,x6853)))+P27(f12(f12(f32(f36(x6853,a1)),x6852),x6854))
% 0.64/0.89 [686]~P27(f12(f12(f32(f36(x6861,a1)),x6862),x6864))+P27(f12(f12(f32(f36(x6861,a1)),x6862),x6863))+~P27(f12(f12(f32(f36(x6861,a1)),x6864),x6863))
% 0.64/0.89 [693]~P27(f21(x6932,x6934,x6931))+P27(f12(f12(f32(f36(x6931,a1)),f22(x6932,x6933,x6931)),x6934))+~P27(f12(f12(f32(f36(x6931,a1)),x6933),x6934))
% 0.64/0.89 [703]P27(f12(f12(f32(f36(x7031,a1)),x7032),f15(x7033,x7034,f36(x7031,a1))))+~P27(f12(f12(f32(f36(x7031,a1)),x7032),x7033))+~P27(f12(f12(f32(f36(x7031,a1)),x7032),x7034))
% 0.64/0.89 [714]~P27(f12(f12(f32(f36(x7141,a1)),x7143),x7144))+~P27(f12(f12(f32(f36(x7141,a1)),x7142),x7144))+P27(f12(f12(f32(f36(x7141,a1)),f14(x7142,x7143,f36(x7141,a1))),x7144))
% 0.64/0.89 [725]~P27(f21(x7253,x7252,x7251))+~P27(f12(f12(f32(f36(x7251,a1)),x7252),f22(x7253,x7254,x7251)))+P27(f12(f12(f32(f36(x7251,a1)),f16(x7252,f22(x7253,f13(f36(x7251,a1)),x7251),f36(x7251,a1))),x7254))
% 0.64/0.89 [730]~P27(f21(x7303,x7302,x7301))+P27(f12(f12(f32(f36(x7301,a1)),x7302),f22(x7303,x7304,x7301)))+~P27(f12(f12(f32(f36(x7301,a1)),f16(x7302,f22(x7303,f13(f36(x7301,a1)),x7301),f36(x7301,a1))),x7304))
% 0.64/0.89 [733]~P12(x7332)+~P27(f12(f12(f32(x7332),f12(x7333,f7(x7333,x7334,x7331,x7332))),f12(x7334,f7(x7333,x7334,x7331,x7332))))+P27(f12(f12(f32(f36(x7331,x7332)),x7333),x7334))
% 0.64/0.89 [734]~P12(x7342)+~P27(f12(f12(f32(x7342),f12(x7343,f8(x7343,x7344,x7341,x7342))),f12(x7344,f8(x7343,x7344,x7341,x7342))))+P27(f12(f12(f32(f36(x7341,x7342)),x7343),x7344))
% 0.64/0.89 [625]P8(x6251,x6252,x6253)+~P8(x6251,x6254,x6253)+~P27(f12(f12(f32(f36(f33(x6253),a1)),x6252),x6254))
% 0.64/0.89 [548]E(x5481,x5482)+~E(f12(x5483,x5481),f12(x5483,x5482))+~P9(x5483,f20(f36(x5484,a1)),x5484,x5485)
% 0.64/0.89 [573]~P1(x5731)+~P10(f27(x5734,x5735,x5731),f27(x5732,x5733,x5731),f36(x5731,a1))+P27(f12(f12(f32(x5731),x5732),x5733))
% 0.64/0.89 [676]~P1(x6761)+P27(f12(f12(f32(f36(x6761,a1)),f27(x6762,x6763,x6761)),f27(x6764,x6765,x6761)))+P27(f12(f12(f32(x6761),x6762),x6763))
% 0.64/0.89 [626]~P12(x6261)+P27(f12(f12(f32(x6261),f12(x6262,x6263)),f12(x6264,x6263)))+~P27(f12(f12(f32(f36(x6265,x6261)),x6262),x6264))
% 0.64/0.89 [650]E(x6501,x6502)+E(x6501,x6503)+~E(f22(x6504,f22(x6501,f13(f36(x6505,a1)),x6505),x6505),f22(x6503,f22(x6502,f13(f36(x6505,a1)),x6505),x6505))
% 0.64/0.89 [651]E(x6511,x6512)+E(x6513,x6512)+~E(f22(x6513,f22(x6511,f13(f36(x6514,a1)),x6514),x6514),f22(x6515,f22(x6512,f13(f36(x6514,a1)),x6514),x6514))
% 0.64/0.89 [652]E(x6521,x6522)+E(x6523,x6522)+~E(f22(x6523,f22(x6521,f13(f36(x6524,a1)),x6524),x6524),f22(x6522,f22(x6525,f13(f36(x6524,a1)),x6524),x6524))
% 0.64/0.89 [653]E(x6531,x6532)+E(x6531,x6533)+~E(f22(x6531,f22(x6534,f13(f36(x6535,a1)),x6535),x6535),f22(x6533,f22(x6532,f13(f36(x6535,a1)),x6535),x6535))
% 0.64/0.89 [679]P9(x6791,x6792,x6793,x6794)+~P9(x6791,x6795,x6793,x6794)+~P27(f12(f12(f32(f36(x6793,a1)),x6792),x6795))
% 0.64/0.89 [719]P27(f12(f12(f32(f36(x7191,a1)),f14(x7192,x7193,f36(x7191,a1))),f14(x7194,x7195,f36(x7191,a1))))+~P27(f12(f12(f32(f36(x7191,a1)),x7193),x7195))+~P27(f12(f12(f32(f36(x7191,a1)),x7192),x7194))
% 0.64/0.89 [720]P27(f12(f12(f32(f36(x7201,a1)),f15(x7202,x7203,f36(x7201,a1))),f15(x7204,x7205,f36(x7201,a1))))+~P27(f12(f12(f32(f36(x7201,a1)),x7203),x7205))+~P27(f12(f12(f32(f36(x7201,a1)),x7202),x7204))
% 0.64/0.89 [721]P27(f12(f12(f32(f36(x7211,a1)),f16(x7212,x7213,f36(x7211,a1))),f16(x7214,x7215,f36(x7211,a1))))+~P27(f12(f12(f32(f36(x7211,a1)),x7215),x7213))+~P27(f12(f12(f32(f36(x7211,a1)),x7212),x7214))
% 0.64/0.89 [390]~P24(x3902)+~P7(x3901,x3902)+E(x3901,f13(f36(x3902,a1)))+P27(f21(f9(x3901,x3902),x3901,x3902))
% 0.64/0.89 [391]~P24(x3912)+~P7(x3911,x3912)+E(x3911,f13(f36(x3912,a1)))+P27(f21(f10(x3911,x3912),x3911,x3912))
% 0.64/0.89 [338]P10(x3381,x3382,x3383)+~P24(x3383)+E(x3381,x3382)+P10(x3382,x3381,x3383)
% 0.64/0.89 [339]P10(x3391,x3392,x3393)+~P28(x3393)+E(x3391,x3392)+P10(x3392,x3391,x3393)
% 0.64/0.89 [379]~P2(x3792)+~E(f14(x3791,x3793,x3792),f20(x3792))+~E(f15(x3791,x3793,x3792),f13(x3792))+E(f17(x3791,x3792),x3793)
% 0.64/0.89 [501]~P24(x5011)+~P7(x5013,x5011)+~P27(f21(x5012,x5013,x5011))+P27(f12(f12(f32(x5011),x5012),f9(x5013,x5011)))
% 0.64/0.89 [413]~P1(x4133)+E(x4131,x4132)+P10(x4131,x4132,x4133)+~P27(f12(f12(f32(x4133),x4131),x4132))
% 0.64/0.89 [415]~P24(x4153)+E(x4151,x4152)+P10(x4151,x4152,x4153)+~P27(f12(f12(f32(x4153),x4151),x4152))
% 0.64/0.89 [494]~P25(x4943)+P10(x4941,x4942,x4943)+P27(f12(f12(f32(x4943),x4942),x4941))+~P27(f12(f12(f32(x4943),x4941),x4942))
% 0.64/0.89 [500]E(x5001,x5002)+~P1(x5003)+~P27(f12(f12(f32(x5003),x5002),x5001))+~P27(f12(f12(f32(x5003),x5001),x5002))
% 0.64/0.89 [523]~P24(x5231)+~P7(x5232,x5231)+~P27(f21(x5233,x5232,x5231))+P27(f12(f12(f32(x5231),f10(x5232,x5231)),x5233))
% 0.64/0.89 [423]~P1(x4233)+~P10(x4231,x4234,x4233)+P10(x4231,x4232,x4233)+~P10(x4234,x4232,x4233)
% 0.64/0.89 [424]~P25(x4243)+~P10(x4241,x4244,x4243)+P10(x4241,x4242,x4243)+~P10(x4244,x4242,x4243)
% 0.64/0.89 [511]E(x5111,x5112)+~E(f22(x5113,x5111,x5114),f22(x5113,x5112,x5114))+P27(f21(x5113,x5111,x5114))+P27(f21(x5113,x5112,x5114))
% 0.64/0.89 [689]~P10(x6894,f22(x6891,x6892,x6893),f36(x6893,a1))+P10(f16(x6894,f22(x6891,f13(f36(x6893,a1)),x6893),f36(x6893,a1)),x6892,f36(x6893,a1))+~P27(f21(x6891,x6894,x6893))+P27(f21(x6891,x6892,x6893))
% 0.64/0.89 [700]P10(x7004,f22(x7001,x7002,x7003),f36(x7003,a1))+~P10(f16(x7004,f22(x7001,f13(f36(x7003,a1)),x7003),f36(x7003,a1)),x7002,f36(x7003,a1))+~P27(f21(x7001,x7004,x7003))+P27(f21(x7001,x7002,x7003))
% 0.64/0.89 [701]~P10(x7011,x7013,f36(x7014,a1))+P10(x7011,f22(x7012,x7013,x7014),f36(x7014,a1))+~P10(f16(x7011,f22(x7012,f13(f36(x7014,a1)),x7014),f36(x7014,a1)),x7013,f36(x7014,a1))+~P27(f21(x7012,x7011,x7014))
% 0.64/0.89 [460]~P1(x4603)+P10(x4601,x4602,x4603)+~P10(x4604,x4602,x4603)+~P27(f12(f12(f32(x4603),x4601),x4604))
% 0.64/0.89 [461]~P1(x4613)+P10(x4611,x4612,x4613)+~P10(x4611,x4614,x4613)+~P27(f12(f12(f32(x4613),x4614),x4612))
% 0.64/0.89 [462]~P25(x4623)+P10(x4621,x4622,x4623)+~P10(x4624,x4622,x4623)+~P27(f12(f12(f32(x4623),x4621),x4624))
% 0.64/0.89 [463]~P25(x4633)+P10(x4631,x4632,x4633)+~P10(x4631,x4634,x4633)+~P27(f12(f12(f32(x4633),x4634),x4632))
% 0.64/0.89 [534]~P1(x5341)+~P27(f12(f12(f32(x5341),x5342),x5344))+P27(f12(f12(f32(x5341),x5342),x5343))+~P27(f12(f12(f32(x5341),x5344),x5343))
% 0.64/0.89 [535]~P25(x5351)+~P27(f12(f12(f32(x5351),x5352),x5354))+P27(f12(f12(f32(x5351),x5352),x5353))+~P27(f12(f12(f32(x5351),x5354),x5353))
% 0.64/0.89 [581]~P24(x5813)+~P10(x5812,x5814,x5813)+E(f14(f27(x5811,x5812,x5813),f30(x5812,x5814,x5813),f36(x5813,a1)),f26(x5811,x5814,x5813))+~P27(f12(f12(f32(x5813),x5811),x5812))
% 0.64/0.89 [582]~P24(x5823)+~P10(x5822,x5824,x5823)+E(f14(f29(x5821,x5822,x5823),f30(x5822,x5824,x5823),f36(x5823,a1)),f30(x5821,x5824,x5823))+~P27(f12(f12(f32(x5823),x5821),x5822))
% 0.64/0.89 [583]~P24(x5833)+~P10(x5831,x5832,x5833)+E(f14(f30(x5831,x5832,x5833),f27(x5832,x5834,x5833),f36(x5833,a1)),f29(x5831,x5834,x5833))+~P27(f12(f12(f32(x5833),x5832),x5834))
% 0.64/0.89 [584]~P24(x5843)+~P10(x5841,x5842,x5843)+E(f14(f30(x5841,x5842,x5843),f26(x5842,x5844,x5843),f36(x5843,a1)),f30(x5841,x5844,x5843))+~P27(f12(f12(f32(x5843),x5842),x5844))
% 0.64/0.89 [604]~P17(x6041)+P27(f12(f12(f32(x6041),x6042),f15(x6043,x6044,x6041)))+~P27(f12(f12(f32(x6041),x6042),x6044))+~P27(f12(f12(f32(x6041),x6042),x6043))
% 0.64/0.89 [608]~P24(x6083)+E(f14(f27(x6081,x6082,x6083),f29(x6082,x6084,x6083),f36(x6083,a1)),f27(x6081,x6084,x6083))+~P27(f12(f12(f32(x6083),x6082),x6084))+~P27(f12(f12(f32(x6083),x6081),x6082))
% 0.64/0.89 [609]~P24(x6093)+E(f14(f29(x6091,x6092,x6093),f29(x6092,x6094,x6093),f36(x6093,a1)),f29(x6091,x6094,x6093))+~P27(f12(f12(f32(x6093),x6092),x6094))+~P27(f12(f12(f32(x6093),x6091),x6092))
% 0.64/0.89 [610]~P24(x6103)+E(f14(f26(x6101,x6102,x6103),f27(x6102,x6104,x6103),f36(x6103,a1)),f27(x6101,x6104,x6103))+~P27(f12(f12(f32(x6103),x6102),x6104))+~P27(f12(f12(f32(x6103),x6101),x6102))
% 0.64/0.89 [611]~P24(x6113)+E(f14(f26(x6111,x6112,x6113),f26(x6112,x6114,x6113),f36(x6113,a1)),f26(x6111,x6114,x6113))+~P27(f12(f12(f32(x6113),x6112),x6114))+~P27(f12(f12(f32(x6113),x6111),x6112))
% 0.64/0.89 [659]~P18(x6591)+~P27(f12(f12(f32(x6591),x6593),x6594))+~P27(f12(f12(f32(x6591),x6592),x6594))+P27(f12(f12(f32(x6591),f14(x6592,x6593,x6591)),x6594))
% 0.64/0.89 [642]~P10(x6424,f22(x6421,x6422,x6423),f36(x6423,a1))+P27(f21(x6421,x6422,x6423))+P27(f21(x6421,x6424,x6423))+P27(f12(f12(f32(f36(x6423,a1)),x6424),x6422))
% 0.64/0.89 [655]P10(x6554,f22(x6551,x6552,x6553),f36(x6553,a1))+P27(f21(x6551,x6552,x6553))+P27(f21(x6551,x6554,x6553))+~P27(f12(f12(f32(f36(x6553,a1)),x6554),x6552))
% 0.64/0.89 [656]~P10(x6562,x6564,f36(x6563,a1))+P10(x6562,f22(x6561,x6564,x6563),f36(x6563,a1))+P27(f21(x6561,x6562,x6563))+~P27(f12(f12(f32(f36(x6563,a1)),x6562),x6564))
% 0.64/0.89 [665]~P12(x6654)+P10(x6651,x6652,f36(x6653,x6654))+P27(f12(f12(f32(f36(x6653,x6654)),x6652),x6651))+~P27(f12(f12(f32(f36(x6653,x6654)),x6651),x6652))
% 0.64/0.89 [711]P10(x7114,f22(x7111,x7112,x7113),f36(x7113,a1))+~P10(f16(x7114,f22(x7111,f13(f36(x7113,a1)),x7113),f36(x7113,a1)),x7112,f36(x7113,a1))+P27(f21(x7111,x7112,x7113))+~P27(f12(f12(f32(f36(x7113,a1)),x7114),x7112))
% 0.64/0.89 [712]~P10(x7121,x7123,f36(x7124,a1))+P10(x7121,f22(x7122,x7123,x7124),f36(x7124,a1))+~P10(f16(x7121,f22(x7122,f13(f36(x7124,a1)),x7124),f36(x7124,a1)),x7123,f36(x7124,a1))+~P27(f12(f12(f32(f36(x7124,a1)),x7121),x7123))
% 0.64/0.89 [468]~P22(x4683)+~P10(x4684,x4685,x4683)+P10(x4681,x4682,x4683)+~E(f16(x4684,x4685,x4683),f16(x4681,x4682,x4683))
% 0.64/0.89 [469]~P22(x4693)+~P10(x4694,x4695,x4693)+P10(x4691,x4692,x4693)+~E(f16(x4691,x4692,x4693),f16(x4694,x4695,x4693))
% 0.64/0.89 [536]~P22(x5361)+~E(f16(x5364,x5365,x5361),f16(x5363,x5362,x5361))+~P27(f12(f12(f32(x5361),x5365),x5364))+P27(f12(f12(f32(x5361),x5362),x5363))
% 0.64/0.89 [537]~P22(x5371)+~E(f16(x5373,x5372,x5371),f16(x5374,x5375,x5371))+~P27(f12(f12(f32(x5371),x5375),x5374))+P27(f12(f12(f32(x5371),x5372),x5373))
% 0.64/0.89 [574]~P1(x5741)+P10(f27(x5742,x5743,x5741),f27(x5744,x5745,x5741),f36(x5741,a1))+~P27(f12(f12(f32(x5741),x5744),x5745))+P27(f12(f12(f32(x5741),x5742),x5743))
% 0.64/0.89 [618]~P1(x6181)+~P10(f27(x6184,x6182,x6181),f27(x6185,x6183,x6181),f36(x6181,a1))+P27(f12(f12(f32(x6181),x6182),x6183))+~P27(f12(f12(f32(x6181),x6184),x6182))
% 0.64/0.89 [619]~P1(x6191)+~P10(f27(x6193,x6194,x6191),f27(x6192,x6195,x6191),f36(x6191,a1))+P27(f12(f12(f32(x6191),x6192),x6193))+~P27(f12(f12(f32(x6191),x6193),x6194))
% 0.64/0.89 [692]~P1(x6921)+P27(f12(f12(f32(f36(x6921,a1)),f27(x6922,x6923,x6921)),f27(x6924,x6925,x6921)))+~P27(f12(f12(f32(x6921),x6924),x6922))+~P27(f12(f12(f32(x6921),x6923),x6925))
% 0.64/0.89 [705]~P24(x7051)+~P27(f12(f12(f32(f36(x7051,a1)),f26(x7053,x7052,x7051)),f26(x7054,x7055,x7051)))+P27(f12(f12(f32(x7051),x7052),x7053))+P27(f12(f12(f32(x7051),x7054),x7053))
% 0.64/0.89 [706]~P24(x7061)+~P27(f12(f12(f32(f36(x7061,a1)),f26(x7063,x7062,x7061)),f26(x7065,x7064,x7061)))+P27(f12(f12(f32(x7061),x7062),x7063))+P27(f12(f12(f32(x7061),x7062),x7064))
% 0.64/0.89 [709]~P1(x7091)+~P27(f12(f12(f32(f36(x7091,a1)),f27(x7094,x7092,x7091)),f27(x7095,x7093,x7091)))+P27(f12(f12(f32(x7091),x7092),x7093))+~P27(f12(f12(f32(x7091),x7094),x7092))
% 0.64/0.89 [710]~P1(x7101)+~P27(f12(f12(f32(f36(x7101,a1)),f27(x7103,x7104,x7101)),f27(x7102,x7105,x7101)))+P27(f12(f12(f32(x7101),x7102),x7103))+~P27(f12(f12(f32(x7101),x7103),x7104))
% 0.64/0.89 [634]~P24(x6342)+~P7(x6343,x6342)+E(x6341,f13(f36(x6342,a1)))+P27(f12(f12(f32(x6342),f10(x6343,x6342)),f10(x6341,x6342)))+~P27(f12(f12(f32(f36(x6342,a1)),x6341),x6343))
% 0.64/0.89 [635]~P24(x6352)+~P7(x6353,x6352)+E(x6351,f13(f36(x6352,a1)))+P27(f12(f12(f32(x6352),f9(x6351,x6352)),f9(x6353,x6352)))+~P27(f12(f12(f32(f36(x6352,a1)),x6351),x6353))
% 0.64/0.89 [624]~P1(x6243)+P10(x6241,x6242,x6243)+P10(x6244,x6245,x6243)+~P10(f27(x6242,x6244,x6243),f27(x6241,x6245,x6243),f36(x6243,a1))+~P27(f12(f12(f32(x6243),x6242),x6244))
% 0.64/0.89 [640]E(x6401,x6402)+~P9(x6403,x6404,x6405,x6406)+~E(f12(x6403,x6401),f12(x6403,x6402))+~P27(f21(x6402,x6404,x6405))+~P27(f21(x6401,x6404,x6405))
% 0.64/0.89 [663]~P1(x6633)+~P10(x6634,x6631,x6633)+P10(f27(x6631,x6632,x6633),f27(x6634,x6635,x6633),f36(x6633,a1))+~P27(f12(f12(f32(x6633),x6634),x6635))+~P27(f12(f12(f32(x6633),x6634),x6631))+~P27(f12(f12(f32(x6633),x6632),x6635))
% 0.64/0.89 [664]~P1(x6643)+~P10(x6642,x6645,x6643)+P10(f27(x6641,x6642,x6643),f27(x6644,x6645,x6643),f36(x6643,a1))+~P27(f12(f12(f32(x6643),x6644),x6645))+~P27(f12(f12(f32(x6643),x6644),x6641))+~P27(f12(f12(f32(x6643),x6642),x6645))
% 0.64/0.89 %EqnAxiom
% 0.64/0.89 [1]E(x11,x11)
% 0.64/0.89 [2]E(x22,x21)+~E(x21,x22)
% 0.64/0.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.64/0.89 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.64/0.89 [5]~E(x51,x52)+E(f12(x51,x53),f12(x52,x53))
% 0.64/0.89 [6]~E(x61,x62)+E(f12(x63,x61),f12(x63,x62))
% 0.64/0.89 [7]~E(x71,x72)+E(f32(x71),f32(x72))
% 0.64/0.89 [8]~E(x81,x82)+E(f36(x81,x83),f36(x82,x83))
% 0.64/0.89 [9]~E(x91,x92)+E(f36(x93,x91),f36(x93,x92))
% 0.64/0.89 [10]~E(x101,x102)+E(f15(x101,x103,x104),f15(x102,x103,x104))
% 0.64/0.89 [11]~E(x111,x112)+E(f15(x113,x111,x114),f15(x113,x112,x114))
% 0.64/0.89 [12]~E(x121,x122)+E(f15(x123,x124,x121),f15(x123,x124,x122))
% 0.64/0.89 [13]~E(x131,x132)+E(f13(x131),f13(x132))
% 0.64/0.89 [14]~E(x141,x142)+E(f14(x141,x143,x144),f14(x142,x143,x144))
% 0.64/0.89 [15]~E(x151,x152)+E(f14(x153,x151,x154),f14(x153,x152,x154))
% 0.64/0.89 [16]~E(x161,x162)+E(f14(x163,x164,x161),f14(x163,x164,x162))
% 0.64/0.89 [17]~E(x171,x172)+E(f26(x171,x173,x174),f26(x172,x173,x174))
% 0.64/0.89 [18]~E(x181,x182)+E(f26(x183,x181,x184),f26(x183,x182,x184))
% 0.64/0.89 [19]~E(x191,x192)+E(f26(x193,x194,x191),f26(x193,x194,x192))
% 0.64/0.89 [20]~E(x201,x202)+E(f21(x201,x203,x204),f21(x202,x203,x204))
% 0.64/0.89 [21]~E(x211,x212)+E(f21(x213,x211,x214),f21(x213,x212,x214))
% 0.64/0.89 [22]~E(x221,x222)+E(f21(x223,x224,x221),f21(x223,x224,x222))
% 0.64/0.89 [23]~E(x231,x232)+E(f29(x231,x233,x234),f29(x232,x233,x234))
% 0.64/0.89 [24]~E(x241,x242)+E(f29(x243,x241,x244),f29(x243,x242,x244))
% 0.64/0.89 [25]~E(x251,x252)+E(f29(x253,x254,x251),f29(x253,x254,x252))
% 0.64/0.89 [26]~E(x261,x262)+E(f28(x261,x263),f28(x262,x263))
% 0.64/0.89 [27]~E(x271,x272)+E(f28(x273,x271),f28(x273,x272))
% 0.64/0.89 [28]~E(x281,x282)+E(f16(x281,x283,x284),f16(x282,x283,x284))
% 0.64/0.89 [29]~E(x291,x292)+E(f16(x293,x291,x294),f16(x293,x292,x294))
% 0.64/0.89 [30]~E(x301,x302)+E(f16(x303,x304,x301),f16(x303,x304,x302))
% 0.64/0.89 [31]~E(x311,x312)+E(f25(x311,x313),f25(x312,x313))
% 0.64/0.89 [32]~E(x321,x322)+E(f25(x323,x321),f25(x323,x322))
% 0.64/0.89 [33]~E(x331,x332)+E(f22(x331,x333,x334),f22(x332,x333,x334))
% 0.64/0.89 [34]~E(x341,x342)+E(f22(x343,x341,x344),f22(x343,x342,x344))
% 0.64/0.89 [35]~E(x351,x352)+E(f22(x353,x354,x351),f22(x353,x354,x352))
% 0.64/0.89 [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 0.64/0.89 [37]~E(x371,x372)+E(f17(x371,x373),f17(x372,x373))
% 0.64/0.89 [38]~E(x381,x382)+E(f17(x383,x381),f17(x383,x382))
% 0.64/0.89 [39]~E(x391,x392)+E(f27(x391,x393,x394),f27(x392,x393,x394))
% 0.64/0.89 [40]~E(x401,x402)+E(f27(x403,x401,x404),f27(x403,x402,x404))
% 0.64/0.89 [41]~E(x411,x412)+E(f27(x413,x414,x411),f27(x413,x414,x412))
% 0.64/0.89 [42]~E(x421,x422)+E(f18(x421,x423,x424,x425),f18(x422,x423,x424,x425))
% 0.64/0.89 [43]~E(x431,x432)+E(f18(x433,x431,x434,x435),f18(x433,x432,x434,x435))
% 0.64/0.89 [44]~E(x441,x442)+E(f18(x443,x444,x441,x445),f18(x443,x444,x442,x445))
% 0.64/0.89 [45]~E(x451,x452)+E(f18(x453,x454,x455,x451),f18(x453,x454,x455,x452))
% 0.64/0.89 [46]~E(x461,x462)+E(f30(x461,x463,x464),f30(x462,x463,x464))
% 0.64/0.89 [47]~E(x471,x472)+E(f30(x473,x471,x474),f30(x473,x472,x474))
% 0.64/0.89 [48]~E(x481,x482)+E(f30(x483,x484,x481),f30(x483,x484,x482))
% 0.64/0.89 [49]~E(x491,x492)+E(f33(x491),f33(x492))
% 0.64/0.89 [50]~E(x501,x502)+E(f31(x501,x503,x504,x505),f31(x502,x503,x504,x505))
% 0.64/0.89 [51]~E(x511,x512)+E(f31(x513,x511,x514,x515),f31(x513,x512,x514,x515))
% 0.64/0.89 [52]~E(x521,x522)+E(f31(x523,x524,x521,x525),f31(x523,x524,x522,x525))
% 0.64/0.89 [53]~E(x531,x532)+E(f31(x533,x534,x535,x531),f31(x533,x534,x535,x532))
% 0.64/0.89 [54]~E(x541,x542)+E(f4(x541,x543,x544,x545,x546),f4(x542,x543,x544,x545,x546))
% 0.64/0.89 [55]~E(x551,x552)+E(f4(x553,x551,x554,x555,x556),f4(x553,x552,x554,x555,x556))
% 0.64/0.89 [56]~E(x561,x562)+E(f4(x563,x564,x561,x565,x566),f4(x563,x564,x562,x565,x566))
% 0.64/0.89 [57]~E(x571,x572)+E(f4(x573,x574,x575,x571,x576),f4(x573,x574,x575,x572,x576))
% 0.64/0.89 [58]~E(x581,x582)+E(f4(x583,x584,x585,x586,x581),f4(x583,x584,x585,x586,x582))
% 0.64/0.89 [59]~E(x591,x592)+E(f23(x591,x593),f23(x592,x593))
% 0.64/0.89 [60]~E(x601,x602)+E(f23(x603,x601),f23(x603,x602))
% 0.64/0.89 [61]~E(x611,x612)+E(f11(x611,x613,x614,x615,x616),f11(x612,x613,x614,x615,x616))
% 0.64/0.89 [62]~E(x621,x622)+E(f11(x623,x621,x624,x625,x626),f11(x623,x622,x624,x625,x626))
% 0.64/0.89 [63]~E(x631,x632)+E(f11(x633,x634,x631,x635,x636),f11(x633,x634,x632,x635,x636))
% 0.64/0.89 [64]~E(x641,x642)+E(f11(x643,x644,x645,x641,x646),f11(x643,x644,x645,x642,x646))
% 0.64/0.89 [65]~E(x651,x652)+E(f11(x653,x654,x655,x656,x651),f11(x653,x654,x655,x656,x652))
% 0.64/0.89 [66]~E(x661,x662)+E(f5(x661,x663),f5(x662,x663))
% 0.64/0.89 [67]~E(x671,x672)+E(f5(x673,x671),f5(x673,x672))
% 0.64/0.89 [68]~E(x681,x682)+E(f8(x681,x683,x684,x685),f8(x682,x683,x684,x685))
% 0.64/0.89 [69]~E(x691,x692)+E(f8(x693,x691,x694,x695),f8(x693,x692,x694,x695))
% 0.64/0.89 [70]~E(x701,x702)+E(f8(x703,x704,x701,x705),f8(x703,x704,x702,x705))
% 0.64/0.89 [71]~E(x711,x712)+E(f8(x713,x714,x715,x711),f8(x713,x714,x715,x712))
% 0.64/0.89 [72]~E(x721,x722)+E(f9(x721,x723),f9(x722,x723))
% 0.64/0.89 [73]~E(x731,x732)+E(f9(x733,x731),f9(x733,x732))
% 0.64/0.89 [74]~E(x741,x742)+E(f24(x741,x743),f24(x742,x743))
% 0.64/0.89 [75]~E(x751,x752)+E(f24(x753,x751),f24(x753,x752))
% 0.64/0.89 [76]~E(x761,x762)+E(f7(x761,x763,x764,x765),f7(x762,x763,x764,x765))
% 0.64/0.89 [77]~E(x771,x772)+E(f7(x773,x771,x774,x775),f7(x773,x772,x774,x775))
% 0.64/0.89 [78]~E(x781,x782)+E(f7(x783,x784,x781,x785),f7(x783,x784,x782,x785))
% 0.64/0.89 [79]~E(x791,x792)+E(f7(x793,x794,x795,x791),f7(x793,x794,x795,x792))
% 0.64/0.89 [80]~E(x801,x802)+E(f10(x801,x803),f10(x802,x803))
% 0.64/0.89 [81]~E(x811,x812)+E(f10(x813,x811),f10(x813,x812))
% 0.64/0.89 [82]~E(x821,x822)+E(f6(x821,x823,x824),f6(x822,x823,x824))
% 0.64/0.89 [83]~E(x831,x832)+E(f6(x833,x831,x834),f6(x833,x832,x834))
% 0.64/0.89 [84]~E(x841,x842)+E(f6(x843,x844,x841),f6(x843,x844,x842))
% 0.64/0.89 [85]~E(x851,x852)+E(f34(x851),f34(x852))
% 0.64/0.89 [86]~E(x861,x862)+E(f19(x861),f19(x862))
% 0.64/0.89 [87]~P1(x871)+P1(x872)+~E(x871,x872)
% 0.64/0.89 [88]~P2(x881)+P2(x882)+~E(x881,x882)
% 0.64/0.89 [89]~P14(x891)+P14(x892)+~E(x891,x892)
% 0.64/0.89 [90]~P17(x901)+P17(x902)+~E(x901,x902)
% 0.64/0.89 [91]~P18(x911)+P18(x912)+~E(x911,x912)
% 0.64/0.89 [92]~P25(x921)+P25(x922)+~E(x921,x922)
% 0.64/0.89 [93]~P15(x931)+P15(x932)+~E(x931,x932)
% 0.64/0.89 [94]~P3(x941)+P3(x942)+~E(x941,x942)
% 0.64/0.89 [95]~P12(x951)+P12(x952)+~E(x951,x952)
% 0.64/0.89 [96]~P4(x961)+P4(x962)+~E(x961,x962)
% 0.64/0.89 [97]~P5(x971)+P5(x972)+~E(x971,x972)
% 0.64/0.89 [98]~P16(x981)+P16(x982)+~E(x981,x982)
% 0.64/0.89 [99]~P26(x991)+P26(x992)+~E(x991,x992)
% 0.64/0.89 [100]~P13(x1001)+P13(x1002)+~E(x1001,x1002)
% 0.64/0.89 [101]~P19(x1011)+P19(x1012)+~E(x1011,x1012)
% 0.64/0.89 [102]P6(x1022,x1023,x1024)+~E(x1021,x1022)+~P6(x1021,x1023,x1024)
% 0.64/0.89 [103]P6(x1033,x1032,x1034)+~E(x1031,x1032)+~P6(x1033,x1031,x1034)
% 0.64/0.89 [104]P6(x1043,x1044,x1042)+~E(x1041,x1042)+~P6(x1043,x1044,x1041)
% 0.64/0.89 [105]P7(x1052,x1053)+~E(x1051,x1052)+~P7(x1051,x1053)
% 0.64/0.89 [106]P7(x1063,x1062)+~E(x1061,x1062)+~P7(x1063,x1061)
% 0.64/0.89 [107]P8(x1072,x1073,x1074)+~E(x1071,x1072)+~P8(x1071,x1073,x1074)
% 0.64/0.89 [108]P8(x1083,x1082,x1084)+~E(x1081,x1082)+~P8(x1083,x1081,x1084)
% 0.64/0.89 [109]P8(x1093,x1094,x1092)+~E(x1091,x1092)+~P8(x1093,x1094,x1091)
% 0.64/0.89 [110]~P27(x1101)+P27(x1102)+~E(x1101,x1102)
% 0.64/0.89 [111]P10(x1112,x1113,x1114)+~E(x1111,x1112)+~P10(x1111,x1113,x1114)
% 0.64/0.89 [112]P10(x1123,x1122,x1124)+~E(x1121,x1122)+~P10(x1123,x1121,x1124)
% 0.64/0.89 [113]P10(x1133,x1134,x1132)+~E(x1131,x1132)+~P10(x1133,x1134,x1131)
% 0.64/0.89 [114]~P24(x1141)+P24(x1142)+~E(x1141,x1142)
% 0.64/0.89 [115]P9(x1152,x1153,x1154,x1155)+~E(x1151,x1152)+~P9(x1151,x1153,x1154,x1155)
% 0.64/0.89 [116]P9(x1163,x1162,x1164,x1165)+~E(x1161,x1162)+~P9(x1163,x1161,x1164,x1165)
% 0.64/0.89 [117]P9(x1173,x1174,x1172,x1175)+~E(x1171,x1172)+~P9(x1173,x1174,x1171,x1175)
% 0.64/0.89 [118]P9(x1183,x1184,x1185,x1182)+~E(x1181,x1182)+~P9(x1183,x1184,x1185,x1181)
% 0.64/0.89 [119]~P22(x1191)+P22(x1192)+~E(x1191,x1192)
% 0.64/0.89 [120]~P23(x1201)+P23(x1202)+~E(x1201,x1202)
% 0.64/0.89 [121]~P20(x1211)+P20(x1212)+~E(x1211,x1212)
% 0.64/0.89 [122]P11(x1222,x1223,x1224)+~E(x1221,x1222)+~P11(x1221,x1223,x1224)
% 0.64/0.89 [123]P11(x1233,x1232,x1234)+~E(x1231,x1232)+~P11(x1233,x1231,x1234)
% 0.64/0.89 [124]P11(x1243,x1244,x1242)+~E(x1241,x1242)+~P11(x1243,x1244,x1241)
% 0.64/0.89 [125]~P21(x1251)+P21(x1252)+~E(x1251,x1252)
% 0.64/0.89 [126]~P28(x1261)+P28(x1262)+~E(x1261,x1262)
% 0.64/0.89
% 0.64/0.89 %-------------------------------------------
% 0.64/0.89 cnf(735,plain,
% 0.64/0.89 ($false),
% 0.64/0.89 inference(scs_inference,[],[260,157]),
% 0.64/0.89 ['proof']).
% 0.64/0.89 % SZS output end Proof
% 0.64/0.89 % Total time :0.030000s
%------------------------------------------------------------------------------