TSTP Solution File: SWV580-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV580-1 : 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 : n021.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 21:34:32 EDT 2023
% Result : Unsatisfiable 0.76s 1.04s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV580-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 07:14:14 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.76/1.00 %-------------------------------------------
% 0.76/1.00 % File :CSE---1.6
% 0.76/1.00 % Problem :theBenchmark
% 0.76/1.00 % Transform :cnf
% 0.76/1.00 % Format :tptp:raw
% 0.76/1.00 % Command :java -jar mcs_scs.jar %d %s
% 0.76/1.00
% 0.76/1.00 % Result :Theorem 0.190000s
% 0.76/1.00 % Output :CNFRefutation 0.190000s
% 0.76/1.00 %-------------------------------------------
% 0.76/1.00 %------------------------------------------------------------------------------
% 0.76/1.00 % File : SWV580-1 : TPTP v8.1.2. Released v4.1.0.
% 0.76/1.00 % Domain : Software Verification
% 0.76/1.00 % Problem : Fast Fourier Transform 058_5
% 0.76/1.00 % Version : Especial.
% 0.76/1.00 % English : Formalization of a functional implementation of the FFT algorithm
% 0.76/1.00 % over the complex numbers, and its inverse. Both are shown
% 0.76/1.00 % equivalent to the usual definitions of these operations through
% 0.76/1.00 % Vandermonde matrices. They are also shown to be inverse to each
% 0.76/1.00 % other, more precisely, that composition of the inverse and the
% 0.76/1.00 % transformation yield the identity up to a scalar.
% 0.76/1.00
% 0.76/1.00 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.76/1.00 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.76/1.00 % Source : [Nip10]
% 0.76/1.00 % Names : FFT-058_5 [Nip10]
% 0.76/1.00
% 0.76/1.00 % Status : Unsatisfiable
% 0.76/1.00 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.60 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0
% 0.76/1.00 % Syntax : Number of clauses : 601 ( 148 unt; 62 nHn; 311 RR)
% 0.76/1.00 % Number of literals : 1379 ( 353 equ; 748 neg)
% 0.76/1.00 % Maximal clause size : 5 ( 2 avg)
% 0.76/1.00 % Maximal term depth : 6 ( 1 avg)
% 0.76/1.00 % Number of predicates : 37 ( 36 usr; 0 prp; 1-9 aty)
% 0.76/1.00 % Number of functors : 41 ( 41 usr; 9 con; 0-6 aty)
% 0.76/1.00 % Number of variables : 1907 ( 231 sgn)
% 0.76/1.00 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.76/1.00
% 0.76/1.00 % Comments :
% 0.76/1.00 %------------------------------------------------------------------------------
% 0.76/1.00 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.76/1.00 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.00 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.00 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.76/1.00
% 0.76/1.00 cnf(cls_DiffE_1,axiom,
% 0.76/1.00 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.00 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.76/1.01 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/1.01 | ~ class_Int_Onumber__ring(T_a)
% 0.76/1.01 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.76/1.01 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.76/1.01 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/1.01 | ~ class_Int_Onumber__ring(T_a)
% 0.76/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_diff__self_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.01 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_diff__0__right_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.01 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_right__minus__eq_1,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_double__eq__0__iff_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.01 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.01 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.01 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.76/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.76/1.01 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.01 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.76/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.76/1.01 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_even__less__0__iff_1,axiom,
% 0.76/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_even__less__0__iff_0,axiom,
% 0.76/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_inf__fun__eq__raw_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olattice(t_b)
% 0.76/1.01 | 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) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.01 | 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) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.01 | 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) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_Int__left__commute_0,axiom,
% 0.76/1.01 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)) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_Int__assoc_0,axiom,
% 0.76/1.01 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)) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_inf__assoc_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.01 | 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) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_inf__left__commute_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.01 | 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) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.76/1.01 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.76/1.01 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.01 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__neg__nonpos_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__nonpos__neg_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.01 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.76/1.01 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)) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.76/1.01 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)) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_distrib__sup__le_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.01 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_atLeastatMost__empty_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.01 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_order__antisym_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_linorder__neqE_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.01 | V_x = V_y ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_order__eq__iff_2,axiom,
% 0.76/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.76/1.01 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.76/1.01 | V_x = V_y ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_nat__less__cases_0,axiom,
% 0.76/1.01 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.76/1.01 | V_m = V_n
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_set__eq__subset_2,axiom,
% 0.76/1.01 ( V_A = V_B
% 0.76/1.01 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.76/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_nat__neq__iff_0,axiom,
% 0.76/1.01 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/1.01 | V_m = V_n ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_equalityI_0,axiom,
% 0.76/1.01 ( V_A = V_B
% 0.76/1.01 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.76/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_order__antisym__conv_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_linorder__less__linear_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.76/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.01 | V_x = V_y
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.76/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.01 | V_x = V_y ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_less__infI1_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_less__infI2_0,axiom,
% 0.76/1.01 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.01 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_Un__Diff__Int_0,axiom,
% 0.76/1.01 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 ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_less__trans__Suc_0,axiom,
% 0.76/1.01 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.76/1.01 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_less__Suc__eq_2,axiom,
% 0.76/1.01 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_lessI_0,axiom,
% 0.76/1.01 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__left__mono_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/1.01 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.76/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__right__mono_0,axiom,
% 0.76/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/1.01 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.76/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.01
% 0.76/1.01 cnf(cls_add__le__cancel__left_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.02 | c_lessequals(V_a,V_b,T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__eq__inf__sup_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__increasing2_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.76/1.02 | ~ c_lessequals(V_b,V_a,T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__increasing_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.76/1.02 | ~ c_lessequals(V_b,V_c,T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_ivl__disj__un_I20_J_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | 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)
% 0.76/1.02 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.02 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.76/1.02 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.76/1.02 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_greaterThanAtMost__empty__iff_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.02 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_greaterThanAtMost__empty__iff_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.02 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_less__Suc0_0,axiom,
% 0.76/1.02 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_le__SUPI_0,axiom,
% 0.76/1.02 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.76/1.02 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 0.76/1.02 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_UN__upper_0,axiom,
% 0.76/1.02 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.76/1.02 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert__iff_0,axiom,
% 0.76/1.02 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert__iff_3,axiom,
% 0.76/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_diff__single__insert_0,axiom,
% 0.76/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_diff__add__cancel_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_double__eq__0__iff_1,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_xt1_I10_J_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_order__less__trans_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__cancel__21_1,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_less__le__not__le_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.02 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_not__leE_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.02 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | ~ c_lessequals(V_x,V_x,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.76/1.02 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__not__less_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__not__less_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | c_lessequals(V_y,V_x,T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__not__le_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_linorder__not__le_1,axiom,
% 0.76/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.02 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__strict__increasing2_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.76/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_eq__eqI_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/1.02 | V_x_H = V_y_H ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_eq__eqI_1,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.76/1.02 | V_xa = V_y ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_setsum__shift__lb__Suc0__0__upt_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | hAPP(V_f,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.02 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat),tc_nat,T_a) = c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat),tc_nat,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 0.76/1.02 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/1.02 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_inf__absorb2_0,axiom,
% 0.76/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.76/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_le__iff__inf_1,axiom,
% 0.76/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.76/1.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_le__iff__inf_0,axiom,
% 0.76/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.76/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__absorb1_0,axiom,
% 0.76/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.76/1.02 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__absorb2_0,axiom,
% 0.76/1.02 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.76/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.76/1.02 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_zero__less__Suc_0,axiom,
% 0.76/1.02 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_inf__commute_0,axiom,
% 0.76/1.02 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__commute_0,axiom,
% 0.76/1.02 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)) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.76/1.02 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.02 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Diff__partition_0,axiom,
% 0.76/1.02 ( 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
% 0.76/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Diff__subset_0,axiom,
% 0.76/1.02 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__neg__neg_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.02 | V_a = V_b ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_right__minus__eq_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.02 | V_a = V_b ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/1.02 | ~ class_Int_Onumber__ring(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.02 | V_x = V_y ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.02 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_CollectD_0,axiom,
% 0.76/1.02 ( hBOOL(hAPP(V_P,V_a))
% 0.76/1.02 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_CollectI_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.76/1.02 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_DiffI_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.02 | hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.02 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Diff__iff_2,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.02 | hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.02 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_insert__subset_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.76/1.02 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Suc__lessI_0,axiom,
% 0.76/1.02 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.76/1.02 | c_Suc(V_m) = V_n
% 0.76/1.02 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert_0,axiom,
% 0.76/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.02 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert_1,axiom,
% 0.76/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.02 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert__iff_1,axiom,
% 0.76/1.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.02 | hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_subset__insert__iff_2,axiom,
% 0.76/1.02 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.02 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__insert__left_1,axiom,
% 0.76/1.02 ( 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))
% 0.76/1.02 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__insert__right_1,axiom,
% 0.76/1.02 ( 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))
% 0.76/1.02 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_ivl__disj__int_I14_J_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.02 | 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)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_vimageD_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.76/1.02 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_vimageE_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.76/1.02 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_vimageI_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 0.76/1.02 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_vimageI2_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 0.76/1.02 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_vimage__eq_1,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 0.76/1.02 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.76/1.02 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.76/1.02 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_greaterThanAtMost__empty_0,axiom,
% 0.76/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.02 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.02 | ~ c_lessequals(V_l,V_k,T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Diff__disjoint_0,axiom,
% 0.76/1.02 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_Int__Collect_0,axiom,
% 0.76/1.02 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.02 | ~ hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_insert__Diff__if_1,axiom,
% 0.76/1.02 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.76/1.02 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_add__0__left_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.76/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.02 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/1.02 | ~ class_Int_Onumber__ring(T_a)
% 0.76/1.02 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.02
% 0.76/1.02 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.76/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.76/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.76/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__diff__cancel_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__less__le__mono_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__le__less__mono_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Suc__mono_0,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Suc__less__eq_0,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__funD_0,axiom,
% 0.76/1.03 ( ~ class_HOL_Oord(T_b)
% 0.76/1.03 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.76/1.03 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__bot__right_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.03 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__bot__left_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.03 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_bot__least_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Obot(T_a)
% 0.76/1.03 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__le__cancel__left_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__le__cancel__right_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.03 | c_lessequals(V_a,V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__le__cancel__right_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_complete__lattice__class_OInf__lower_0,axiom,
% 0.76/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.03 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 0.76/1.03 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__subset__iff_2,axiom,
% 0.76/1.03 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__greatest_0,axiom,
% 0.76/1.03 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__lower2_0,axiom,
% 0.76/1.03 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__lower1_0,axiom,
% 0.76/1.03 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__le1_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__le2_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__infI_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__inf__iff_2,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_z,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf__greatest_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_z,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_setsum__op__ivl__Suc_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.03 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_Suc(V_n),tc_nat),tc_nat,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_pos__add__strict_0,axiom,
% 0.76/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_n__not__Suc__n_0,axiom,
% 0.76/1.03 V_n != c_Suc(V_n) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Suc__n__not__n_0,axiom,
% 0.76/1.03 c_Suc(V_n) != V_n ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_ivl__disj__int_I16_J_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | 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)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__mono_0,axiom,
% 0.76/1.03 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__Un_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.03 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__Diff_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_setsum__op__ivl__Suc_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.03 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_Suc(V_n),tc_nat),tc_nat,T_a) = c_HOL_Oplus__class_Oplus(c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a),hAPP(V_f,V_n),T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_less__SucI_0,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Suc__lessD_0,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_the__sym__eq__trivial_0,axiom,
% 0.76/1.03 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf1I_0,axiom,
% 0.76/1.03 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.76/1.03 | ~ hBOOL(hAPP(V_B,V_x))
% 0.76/1.03 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_less__eqI_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_less__eqI_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__eqI_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/1.03 | c_lessequals(V_y,V_x,T_a)
% 0.76/1.03 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__eqI_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/1.03 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.76/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_double__diff_0,axiom,
% 0.76/1.03 ( 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
% 0.76/1.03 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_setsum__head__upt__Suc_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.03 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a) = c_HOL_Oplus__class_Oplus(hAPP(V_f,V_m),c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(V_m),V_n,tc_nat),tc_nat,T_a),T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_order__less__le_2,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.03 | V_x = V_y
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_order__le__less_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | V_x = V_y
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_order__le__neq__trans_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.03 | V_a = V_b
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_order__neq__le__trans_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a)
% 0.76/1.03 | V_a = V_b ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | V_x = V_y
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | V_x = V_y
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_xt1_I12_J_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.76/1.03 | ~ c_lessequals(V_b,V_a,T_a)
% 0.76/1.03 | V_a = V_b ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_xt1_I11_J_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.76/1.03 | V_a = V_b
% 0.76/1.03 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_vimage__Int_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__subset__conv_1,axiom,
% 0.76/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__subset__conv_0,axiom,
% 0.76/1.03 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf1E_1,axiom,
% 0.76/1.03 ( hBOOL(hAPP(V_B,V_x))
% 0.76/1.03 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_inf1E_0,axiom,
% 0.76/1.03 ( hBOOL(hAPP(V_A,V_x))
% 0.76/1.03 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_not__less__eq_1,axiom,
% 0.76/1.03 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_not__less__eq_0,axiom,
% 0.76/1.03 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_SUP1__iff_2,axiom,
% 0.76/1.03 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.76/1.03 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_SUP1__I_0,axiom,
% 0.76/1.03 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.76/1.03 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.76/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__subset__iff_1,axiom,
% 0.76/1.03 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__subset__iff_0,axiom,
% 0.76/1.03 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__infE_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,V_a,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__infE_1,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__infI1_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__infI2_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.76/1.03 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__inf__iff_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,V_y,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__inf__iff_1,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.03 | c_lessequals(V_x,V_z,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_fun__diff__def_0,axiom,
% 0.76/1.03 ( ~ class_HOL_Ominus(T_b)
% 0.76/1.03 | 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) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_UN__iff_2,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_UN__I_0,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 0.76/1.03 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_vimage__mono_0,axiom,
% 0.76/1.03 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.76/1.03 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/1.03 | ~ class_Int_Onumber__ring(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.76/1.03 | V_y = V_z ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__imp__eq_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.76/1.03 | V_b = V_c ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__left__cancel_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.76/1.03 | V_b = V_c ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__right__cancel_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.76/1.03 | V_b = V_c ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__nonneg__pos_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__pos__nonneg_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | c_lessequals(V_c,V_a,T_a)
% 0.76/1.03 | c_lessequals(V_b,V_a,T_a)
% 0.76/1.03 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | c_lessequals(V_b,V_d,T_a)
% 0.76/1.03 | c_lessequals(V_b,V_a,T_a)
% 0.76/1.03 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_distrib__inf__le_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_IntE_1,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_IntE_0,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__inf__distrib__left_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__inf__distrib__right_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__idemp_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_mem__def_1,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.76/1.03 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_mem__def_0,axiom,
% 0.76/1.03 ( hBOOL(hAPP(V_S,V_x))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.76/1.03 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_ivl__disj__un_I22_J_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | 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)
% 0.76/1.03 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.03 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__cancel__21_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 0.76/1.03 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_gr__implies__not0_0,axiom,
% 0.76/1.03 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_not__less0_0,axiom,
% 0.76/1.03 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__Collect_1,axiom,
% 0.76/1.03 ( hBOOL(hAPP(V_P,V_x))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__triv_0,axiom,
% 0.76/1.03 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.03 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_add__mono_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_fold1__def_0,axiom,
% 0.76/1.03 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__Diff1_0,axiom,
% 0.76/1.03 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.76/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.76/1.03 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.76/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.76/1.03 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.76/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_empty__Collect__eq_0,axiom,
% 0.76/1.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.76/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_subset__empty_1,axiom,
% 0.76/1.03 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Collect__empty__eq_0,axiom,
% 0.76/1.03 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_bex__empty_0,axiom,
% 0.76/1.03 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_vimage__empty_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_emptyE_0,axiom,
% 0.76/1.03 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_empty__iff_0,axiom,
% 0.76/1.03 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_ball__empty_0,axiom,
% 0.76/1.03 ( hBOOL(hAPP(V_P,V_x))
% 0.76/1.03 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_ex__in__conv_0,axiom,
% 0.76/1.03 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_subset__empty_0,axiom,
% 0.76/1.03 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_empty__fold1SetE_0,axiom,
% 0.76/1.03 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_empty__Diff_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__empty_0,axiom,
% 0.76/1.03 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 ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__cancel_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__empty__left_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Int__empty__right_0,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_empty__subsetI_0,axiom,
% 0.76/1.03 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__Diff_0,axiom,
% 0.76/1.03 ( 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
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.76/1.03 ( hAPP(V_f,V_a) = V_b
% 0.76/1.03 | ~ 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)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.76/1.03 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)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_subset__insert__iff_4,axiom,
% 0.76/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.76/1.03 ( 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
% 0.76/1.03 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_Inf__binary_0,axiom,
% 0.76/1.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.03 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__mono_0,axiom,
% 0.76/1.03 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.76/1.03 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.76/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.76/1.03 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.76/1.03 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insertE_0,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.76/1.03 | V_a = V_b
% 0.76/1.03 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__inter__insert_0,axiom,
% 0.76/1.03 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) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__subset_1,axiom,
% 0.76/1.03 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_subset__insertI2_0,axiom,
% 0.76/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insertCI_0,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__iff_2,axiom,
% 0.76/1.03 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_subset__insertI_0,axiom,
% 0.76/1.03 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insertCI_1,axiom,
% 0.76/1.03 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insertI1_0,axiom,
% 0.76/1.03 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__iff_1,axiom,
% 0.76/1.03 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__ident_0,axiom,
% 0.76/1.03 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.76/1.03 | hBOOL(c_in(V_x,V_B,T_a))
% 0.76/1.03 | hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.03 | V_A = V_B ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_insert__absorb_0,axiom,
% 0.76/1.03 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.76/1.03 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_ivl__disj__un_I5_J_0,axiom,
% 0.76/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.03 | 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)
% 0.76/1.03 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_sup__absorb1_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.76/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__iff__sup_1,axiom,
% 0.76/1.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.76/1.03 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__iff__sup_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.76/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_sup__inf__absorb_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_le__sup__iff_2,axiom,
% 0.76/1.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.76/1.03 | ~ c_lessequals(V_y,V_z,T_a)
% 0.76/1.03 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.76/1.03
% 0.76/1.03 cnf(cls_sup__least_0,axiom,
% 0.76/1.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.76/1.03 | ~ c_lessequals(V_z,V_x,T_a)
% 0.76/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.03
% 0.76/1.04 cnf(cls_sup__ge2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__ge1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__supI_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(V_b,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__supI2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__supI1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__sup__iff_1,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_y,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__sup__iff_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__supI2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__supI1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__supE_1,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_b,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__supE_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_lessequals(V_a,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__absorb_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__sup__distrib__right_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__sup__distrib__left_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_setsum__ivl__cong_1,axiom,
% 0.76/1.04 ( ~ class_HOL_Oord(T_a)
% 0.76/1.04 | ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 0.76/1.04 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b) = c_Finite__Set_Osetsum(V_g,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(V_xa,V_x,V_f,V_g,T_a,T_b),V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_setsum__ivl__cong_0,axiom,
% 0.76/1.04 ( ~ class_HOL_Oord(T_a)
% 0.76/1.04 | ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 0.76/1.04 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b) = c_Finite__Set_Osetsum(V_g,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b)
% 0.76/1.04 | c_lessequals(V_xa,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(V_xa,V_x,V_f,V_g,T_a,T_b),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__absorb1_0,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__absorb2_0,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.76/1.04 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subset__Un__eq_1,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.76/1.04 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UnE_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.04 | hBOOL(c_in(V_c,V_A,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__least_0,axiom,
% 0.76/1.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__upper1_0,axiom,
% 0.76/1.04 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__upper2_0,axiom,
% 0.76/1.04 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__subset__iff_2,axiom,
% 0.76/1.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Diff_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_vimage__Un_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__Un_0,axiom,
% 0.76/1.04 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__subset__iff_0,axiom,
% 0.76/1.04 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__subset__iff_1,axiom,
% 0.76/1.04 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UnCI_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UnCI_1,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Int__distrib_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__mono_0,axiom,
% 0.76/1.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__Un__distrib_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Int__crazy_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I10_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I13_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I12_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I18_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__strict__increasing_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.04 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_b,V_c,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Inf__insert_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_vimage__Diff_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Collect__def_0,axiom,
% 0.76/1.04 c_Collect(V_P,T_a) = V_P ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_DiffE_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__subset__iff_0,axiom,
% 0.76/1.04 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 0.76/1.04 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.76/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.76/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__absorb_0,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.76/1.04 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(V_c,V_a,T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(V_b,V_d,T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_b,V_d,T_a)
% 0.76/1.04 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.76/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.04 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_nat_Oinject_0,axiom,
% 0.76/1.04 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.76/1.04 | V_nat = V_nat_H ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Suc__inject_0,axiom,
% 0.76/1.04 ( c_Suc(V_x) != c_Suc(V_y)
% 0.76/1.04 | V_x = V_y ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.76/1.04 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__Suc0_1,axiom,
% 0.76/1.04 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.76/1.04 ( V_n = V_m
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__antisym_0,axiom,
% 0.76/1.04 ( V_m = V_n
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__SucE_0,axiom,
% 0.76/1.04 ( V_m = V_n
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Diff__mono_0,axiom,
% 0.76/1.04 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.76/1.04 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Diff__Int2_0,axiom,
% 0.76/1.04 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_linorder__neq__iff_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__le_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__not__refl_0,axiom,
% 0.76/1.04 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_nat__less__le_1,axiom,
% 0.76/1.04 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__irrefl_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__le__not__le_2,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.04 | c_lessequals(V_y,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__pos__pos_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.04 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.04 | c_lessequals(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__strict__mono_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__le__less_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_y,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__imp__le_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_y,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.76/1.04 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.76/1.04 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_bot__empty__eq_0,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_GCD__empty__nat_0,axiom,
% 0.76/1.04 c_GCD_Ogcd__class_OGCD(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.76/1.04 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__insert__right_0,axiom,
% 0.76/1.04 ( 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)
% 0.76/1.04 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__insert__left_0,axiom,
% 0.76/1.04 ( 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)
% 0.76/1.04 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_gr0I_0,axiom,
% 0.76/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.76/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_neq0__conv_1,axiom,
% 0.76/1.04 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__subset_2,axiom,
% 0.76/1.04 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__left__absorb_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__left__idem_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I19_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/1.04 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__absorb_0,axiom,
% 0.76/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__idem_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.76/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__less__cancel__left_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__less__cancel__left_1,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__strict__left__mono_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__less__cancel__right_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__less__cancel__right_1,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__strict__right__mono_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__fun__eq_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_b)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_rev__predicate1D_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(V_Q,V_x))
% 0.76/1.04 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__eq__refl_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__eq__iff_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_predicate1D_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(V_Q,V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.76/1.04 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subset__trans_0,axiom,
% 0.76/1.04 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subset__refl_0,axiom,
% 0.76/1.04 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subset__iff_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_set__rev__mp_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_equalityE_0,axiom,
% 0.76/1.04 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subsetD_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_set__mp_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.76/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__le__less__trans_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__le__trans_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(V_y,V_z,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_le__add__right__mono_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/1.04 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__trans_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | c_lessequals(V_x,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(V_y,V_z,T_a)
% 0.76/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/1.04 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_xt1_I8_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.76/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_xt1_I7_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(V_z,V_y,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_xt1_I6_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_lessequals(V_z,V_x,T_a)
% 0.76/1.04 | ~ c_lessequals(V_z,V_y,T_a)
% 0.76/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I16_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__diff_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_lessequals(V_i,V_n,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__Collect_2,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.04 | ~ hBOOL(hAPP(V_P,V_x))
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Diff__Int_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_vimage__code_1,axiom,
% 0.76/1.04 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_vimage__code_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.76/1.04 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Int__iff_2,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_IntI_0,axiom,
% 0.76/1.04 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.76/1.04 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice__class_OSup__upper_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.76/1.04 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__asym_H_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_order__less__asym_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_linorder__linear_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | c_lessequals(V_y,V_x,T_a)
% 0.76/1.04 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_xt1_I9_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__fun__eq__raw_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(t_b)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I15_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_bot__fun__eq_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Obot(T_b)
% 0.76/1.04 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Sup__empty_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_singleton__conv2_0,axiom,
% 0.76/1.04 c_Collect(c_fequal(V_a,T_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_subset__singletonD_0,axiom,
% 0.76/1.04 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.76/1.04 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_singleton__iff_1,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 0.76/1.04 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.76/1.04 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_fold1Set__sing_1,axiom,
% 0.76/1.04 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Min__singleton_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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 ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_fold1Set__sing_0,axiom,
% 0.76/1.04 ( V_a = V_b
% 0.76/1.04 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_singletonE_0,axiom,
% 0.76/1.04 ( V_b = V_a
% 0.76/1.04 | ~ 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Max__singleton_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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 ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__Diff__single_0,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.76/1.04 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.76/1.04 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.76/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.76/1.04 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.76/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice__class_OSup__singleton_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | 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 ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 0.76/1.04 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.76/1.04 ( hAPP(V_Sup,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)) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.76/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.76/1.04 ( hAPP(V_Inf,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)) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.76/1.04 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Diff__insert_0,axiom,
% 0.76/1.04 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Diff__insert2_0,axiom,
% 0.76/1.04 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_contents__eq_0,axiom,
% 0.76/1.04 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 0.76/1.04 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.76/1.04 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_fold1__singleton_0,axiom,
% 0.76/1.04 c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_complete__lattice__class_OInf__singleton_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_setsum__empty_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/1.04 | c_Finite__Set_Osetsum(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.76/1.04 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.76/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Sup__insert_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__empty_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.76/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_UN__insert_0,axiom,
% 0.76/1.04 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__fun__eq_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_b)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_setsum__ivl__cong_2,axiom,
% 0.76/1.04 ( ~ class_HOL_Oord(T_a)
% 0.76/1.04 | ~ class_OrderedGroup_Ocomm__monoid__add(T_b)
% 0.76/1.04 | hAPP(V_f,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(V_xa,V_x,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(V_xa,V_x,V_f,V_g,T_a,T_b))
% 0.76/1.04 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b) = c_Finite__Set_Osetsum(V_g,c_SetInterval_Oord__class_OatLeastLessThan(V_xa,V_x,T_a),T_a,T_b) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_m,V_u,T_a)
% 0.76/1.04 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I4_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | 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)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_greaterThanLessThan__empty_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | c_SetInterval_Oord__class_OgreaterThanLessThan(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.76/1.04 | ~ c_lessequals(V_l,V_k,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan0_0,axiom,
% 0.76/1.04 c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_less_0,axiom,
% 0.76/1.04 c_HOL_Oord__class_Oless(v_m,v_n,tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_gcd__lcm__complete__lattice__nat_OInf__singleton_0,axiom,
% 0.76/1.04 c_GCD_Ogcd__class_OGCD(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = V_a ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_gcd__lcm__complete__lattice__nat_OSup__singleton_0,axiom,
% 0.76/1.04 c_GCD_Ogcd__class_OLCM(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = V_a ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastSucLessThan__greaterThanLessThan_0,axiom,
% 0.76/1.04 c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(V_l),V_u,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Sup__binary_0,axiom,
% 0.76/1.04 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_vimage__insert_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__int_I9_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.76/1.04 | 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)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_atLeastLessThan__singleton_0,axiom,
% 0.76/1.04 c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_Set_Oinsert(V_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ivl__disj__un_I3_J_0,axiom,
% 0.76/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.76/1.04 | ~ c_HOL_Oord__class_Oless(V_l,V_u,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_calculation_0,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(t_a)
% 0.76/1.04 | c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a),t_a) = c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__code_1,axiom,
% 0.76/1.04 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_empty__not__insert_0,axiom,
% 0.76/1.04 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__code_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(V_A,V_x))
% 0.76/1.04 | V_y = V_x
% 0.76/1.04 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__absorb2_0,axiom,
% 0.76/1.04 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__insert__left_0,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__insert__right_0,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__empty_2,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.76/1.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.76/1.04 | V_a = V_d
% 0.76/1.04 | V_a = V_c ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.76/1.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.76/1.04 | V_b = V_c
% 0.76/1.04 | V_a = V_c ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.76/1.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.76/1.04 | V_a = V_d
% 0.76/1.04 | V_b = V_d ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.76/1.04 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.76/1.04 | V_b = V_c
% 0.76/1.04 | V_b = V_d ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_bot1E_0,axiom,
% 0.76/1.04 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__bot__right_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__bot__left_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__empty__left_0,axiom,
% 0.76/1.04 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__empty__right_0,axiom,
% 0.76/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup1E_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(V_B,V_x))
% 0.76/1.04 | hBOOL(hAPP(V_A,V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup1CI_0,axiom,
% 0.76/1.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup1CI_1,axiom,
% 0.76/1.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__not__empty_0,axiom,
% 0.76/1.04 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__idem_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__absorb_0,axiom,
% 0.76/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__commute_0,axiom,
% 0.76/1.04 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) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__left__commute_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__assoc_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__assoc_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__left__commute_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_singleton__inject_0,axiom,
% 0.76/1.04 ( 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)
% 0.76/1.04 | V_a = V_b ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__code_2,axiom,
% 0.76/1.04 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.76/1.04 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.76/1.04 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.76/1.04 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__empty_0,axiom,
% 0.76/1.04 ( 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))
% 0.76/1.04 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__empty_1,axiom,
% 0.76/1.04 ( 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))
% 0.76/1.04 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__commute_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__commute_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_insert__is__Un_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_sup__left__idem_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_Un__left__absorb_0,axiom,
% 0.76/1.04 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)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.76/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.76/1.04 | 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) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_CHAINED_0,axiom,
% 0.76/1.04 c_HOL_Oord__class_Oless(v_m,v_n,tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(tfree_tcs,negated_conjecture,
% 0.76/1.04 class_OrderedGroup_Ocomm__monoid__add(t_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_conjecture_0,negated_conjecture,
% 0.76/1.04 c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsrel_OrderedGroup_Ocomm__monoid__add_OrderedGroup_Oab__semigroup__add,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T)
% 0.76/1.04 | class_OrderedGroup_Oab__semigroup__add(T) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsrel_OrderedGroup_Ocomm__monoid__add_OrderedGroup_Omonoid__add,axiom,
% 0.76/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T)
% 0.76/1.04 | class_OrderedGroup_Omonoid__add(T) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.76/1.04 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.76/1.04 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.76/1.04 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.76/1.04 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.76/1.04 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.76/1.04 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.76/1.04 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.76/1.04 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.76/1.04 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_Orderings_Obot(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.76/1.04 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_HOL_Ominus(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.76/1.04 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.76/1.04 | ~ class_HOL_Oord(T_1) ) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.76/1.04 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.76/1.04 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.76/1.04 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.76/1.04 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.76/1.04 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.76/1.04 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.76/1.04 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.76/1.04 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.76/1.04 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.76/1.04 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.76/1.04 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.76/1.04 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.76/1.04 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.76/1.04 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.76/1.04 class_Orderings_Opreorder(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.76/1.04 class_Orderings_Olinorder(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.76/1.04 class_Lattices_Olattice(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.76/1.04 class_Orderings_Oorder(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.76/1.04 class_Orderings_Obot(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__HOL_Ominus,axiom,
% 0.76/1.04 class_HOL_Ominus(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.76/1.04 class_HOL_Oord(tc_nat) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.76/1.04 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.76/1.04 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.76/1.04 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.76/1.04 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.76/1.04 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.76/1.04 class_Orderings_Opreorder(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.76/1.04 class_Lattices_Olattice(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.76/1.04 class_Orderings_Oorder(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.76/1.04 class_Orderings_Obot(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.76/1.04 class_HOL_Ominus(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.76/1.04 class_HOL_Oord(tc_bool) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.76/1.04 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 0.76/1.04
% 0.76/1.04 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.76/1.04 ( V_X = V_Y
% 0.76/1.04 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 0.76/1.04
% 0.76/1.04 %------------------------------------------------------------------------------
% 0.76/1.04 %-------------------------------------------
% 0.76/1.04 % Proof found
% 0.76/1.04 % SZS status Theorem for theBenchmark
% 0.76/1.04 % SZS output start Proof
% 0.76/1.05 %ClaNum:725(EqnAxiom:127)
% 0.76/1.05 %VarNum:4253(SingletonVarNum:1652)
% 0.76/1.05 %MaxLitNum:5
% 0.76/1.05 %MaxfuncDepth:5
% 0.76/1.05 %SharedTerms:81
% 0.76/1.05 %goalClause: 138 272
% 0.76/1.05 %singleGoalClaCount:2
% 0.76/1.05 [128]P1(a1)
% 0.76/1.05 [129]P2(a2)
% 0.76/1.05 [130]P2(a1)
% 0.76/1.05 [131]P12(a2)
% 0.76/1.05 [132]P12(a1)
% 0.76/1.05 [133]P28(a2)
% 0.76/1.05 [134]P28(a1)
% 0.76/1.05 [135]P29(a1)
% 0.76/1.05 [136]P13(a1)
% 0.76/1.05 [137]P26(a1)
% 0.76/1.05 [138]P14(a3)
% 0.76/1.05 [139]P14(a1)
% 0.76/1.05 [140]P3(a2)
% 0.76/1.05 [141]P31(a2)
% 0.76/1.05 [142]P31(a1)
% 0.76/1.05 [143]P32(a1)
% 0.76/1.05 [144]P15(a1)
% 0.76/1.05 [145]P20(a1)
% 0.76/1.05 [146]P27(a1)
% 0.76/1.05 [147]P7(a2)
% 0.76/1.05 [148]P7(a1)
% 0.76/1.05 [149]P9(a2)
% 0.76/1.05 [150]P30(a2)
% 0.76/1.05 [151]P30(a1)
% 0.76/1.05 [152]P33(a1)
% 0.76/1.05 [153]P8(a2)
% 0.76/1.05 [154]P8(a1)
% 0.76/1.05 [155]P18(a1)
% 0.76/1.05 [156]P19(a1)
% 0.76/1.05 [157]P16(a2)
% 0.76/1.05 [158]P16(a1)
% 0.76/1.05 [159]P11(a2)
% 0.76/1.05 [160]P11(a1)
% 0.76/1.05 [162]P4(a34,a37,a1)
% 0.76/1.05 [165]E(f6(f5(f33(a1,a2)),a1),f14(a1))
% 0.76/1.05 [182]E(f29(a38,f5(f33(a3,a2)),a3),f31(f5(f33(a3,a2)),a38))
% 0.76/1.05 [272]~E(f11(a35,f19(f26(a34,f5(f33(a1,a2)),a1),f24(a34,a37,a1),f33(a1,a2)),a1,a3),f11(a35,f22(a34,a37,a1),a1,a3))
% 0.76/1.05 [261]~P4(x2611,x2611,a1)
% 0.76/1.05 [164]P4(x1641,f4(x1641),a1)
% 0.76/1.05 [167]P4(f14(a1),f4(x1671),a1)
% 0.76/1.05 [255]~E(f4(x2551),x2551)
% 0.76/1.05 [257]~E(f4(x2571),f14(a1))
% 0.76/1.05 [259]~E(f14(a1),f4(x2591))
% 0.76/1.05 [263]~P4(x2631,f14(a1),a1)
% 0.76/1.05 [173]E(f22(x1731,f14(a1),a1),f5(f33(a1,a2)))
% 0.76/1.05 [186]E(f22(x1861,f4(x1861),a1),f26(x1861,f5(f33(a1,a2)),a1))
% 0.76/1.05 [190]E(f6(f26(x1901,f5(f33(a1,a2)),a1),a1),x1901)
% 0.76/1.05 [191]E(f16(f26(x1911,f5(f33(a1,a2)),a1),a1),x1911)
% 0.76/1.05 [170]P6(x1701,x1701,f33(x1702,a2))
% 0.76/1.05 [171]E(f18(x1711,x1711,f33(x1712,a2)),x1711)
% 0.76/1.05 [172]E(f19(x1721,x1721,f33(x1722,a2)),x1721)
% 0.76/1.05 [174]E(f15(x1741,x1741,f33(x1742,a2)),f5(f33(x1742,a2)))
% 0.76/1.05 [175]E(f22(f4(x1751),x1752,a1),f24(x1751,x1752,a1))
% 0.76/1.05 [176]P6(f5(f33(x1761,a2)),x1762,f33(x1761,a2))
% 0.76/1.05 [177]E(f15(x1771,f5(f33(x1772,a2)),f33(x1772,a2)),x1771)
% 0.76/1.05 [178]E(f19(x1781,f5(f33(x1782,a2)),f33(x1782,a2)),x1781)
% 0.76/1.05 [179]E(f19(f5(f33(x1791,a2)),x1792,f33(x1791,a2)),x1792)
% 0.76/1.05 [183]E(f18(x1831,f5(f33(x1832,a2)),f33(x1832,a2)),f5(f33(x1832,a2)))
% 0.76/1.05 [184]E(f15(f5(f33(x1841,a2)),x1842,f33(x1841,a2)),f5(f33(x1841,a2)))
% 0.76/1.05 [185]E(f18(f5(f33(x1851,a2)),x1852,f33(x1851,a2)),f5(f33(x1851,a2)))
% 0.76/1.05 [267]~P36(f31(f5(f33(x2671,a2)),x2672))
% 0.76/1.05 [270]~P36(f29(x2701,f5(f33(x2702,a2)),x2702))
% 0.76/1.05 [194]E(f30(f26(x1941,f5(f33(x1942,a2)),x1942),x1942),x1941)
% 0.76/1.05 [195]E(f27(f26(x1951,f5(f33(x1952,a2)),x1952),x1952),x1951)
% 0.76/1.05 [246]P36(f31(f26(x2461,f5(f33(x2462,a2)),x2462),f20(f26(x2461,f5(f33(x2462,a2)),x2462),x2462)))
% 0.76/1.05 [188]P6(x1881,f26(x1882,x1881,x1883),f33(x1883,a2))
% 0.76/1.05 [180]E(f18(x1801,x1802,f33(x1803,a2)),f18(x1802,x1801,f33(x1803,a2)))
% 0.76/1.05 [181]E(f19(x1811,x1812,f33(x1813,a2)),f19(x1812,x1811,f33(x1813,a2)))
% 0.76/1.05 [192]E(f26(x1921,f26(x1921,x1922,x1923),x1923),f26(x1921,x1922,x1923))
% 0.76/1.05 [196]P6(x1961,f19(x1962,x1961,f33(x1963,a2)),f33(x1963,a2))
% 0.76/1.05 [197]P6(x1971,f19(x1971,x1972,f33(x1973,a2)),f33(x1973,a2))
% 0.76/1.05 [198]P6(f15(x1981,x1982,f33(x1983,a2)),x1981,f33(x1983,a2))
% 0.76/1.05 [199]P6(f18(x1991,x1992,f33(x1993,a2)),x1992,f33(x1993,a2))
% 0.76/1.05 [200]P6(f18(x2001,x2002,f33(x2003,a2)),x2001,f33(x2003,a2))
% 0.76/1.05 [201]P36(f31(f26(x2011,x2012,x2013),x2011))
% 0.76/1.05 [202]E(f18(x2021,f15(x2022,x2021,f33(x2023,a2)),f33(x2023,a2)),f5(f33(x2023,a2)))
% 0.76/1.05 [203]E(f18(x2031,f18(x2031,x2032,f33(x2033,a2)),f33(x2033,a2)),f18(x2031,x2032,f33(x2033,a2)))
% 0.76/1.05 [204]E(f19(x2041,f15(x2042,x2041,f33(x2043,a2)),f33(x2043,a2)),f19(x2041,x2042,f33(x2043,a2)))
% 0.76/1.05 [205]E(f19(x2051,f19(x2051,x2052,f33(x2053,a2)),f33(x2053,a2)),f19(x2051,x2052,f33(x2053,a2)))
% 0.76/1.05 [206]E(f15(f15(x2061,x2062,f33(x2063,a2)),x2062,f33(x2063,a2)),f15(x2061,x2062,f33(x2063,a2)))
% 0.76/1.05 [207]E(f19(f15(x2071,x2072,f33(x2073,a2)),x2072,f33(x2073,a2)),f19(x2071,x2072,f33(x2073,a2)))
% 0.76/1.05 [211]P36(f29(x2111,f26(x2111,x2112,x2113),x2113))
% 0.76/1.05 [213]E(f19(f26(x2131,f5(f33(x2132,a2)),x2132),x2133,f33(x2132,a2)),f26(x2131,x2133,x2132))
% 0.76/1.05 [214]E(f19(f15(x2141,x2142,f33(x2143,a2)),f18(x2141,x2142,f33(x2143,a2)),f33(x2143,a2)),x2141)
% 0.76/1.05 [265]~E(f26(x2651,x2652,x2653),f5(f33(x2653,a2)))
% 0.76/1.05 [266]~E(f5(f33(x2661,a2)),f26(x2662,x2663,x2661))
% 0.76/1.05 [212]E(f28(x2121,f5(f33(x2122,a2)),x2123,x2122),f5(f33(x2123,a2)))
% 0.76/1.05 [238]E(f26(x2381,f15(x2382,f26(x2381,f5(f33(x2383,a2)),x2383),f33(x2383,a2)),x2383),f26(x2381,x2382,x2383))
% 0.76/1.05 [271]~P36(f31(f7(x2711,f5(f33(x2712,a2)),x2712),x2713))
% 0.76/1.05 [226]E(f30(f7(x2261,f26(x2262,f5(f33(x2263,a2)),x2263),x2263),x2263),x2262)
% 0.76/1.05 [245]P36(f31(f7(x2451,f26(x2452,f5(f33(x2453,a2)),x2453),x2453),x2452))
% 0.76/1.05 [208]E(f26(x2081,f26(x2082,x2083,x2084),x2084),f26(x2082,f26(x2081,x2083,x2084),x2084))
% 0.76/1.05 [218]E(f18(x2181,f18(x2182,x2183,f33(x2184,a2)),f33(x2184,a2)),f18(x2182,f18(x2181,x2183,f33(x2184,a2)),f33(x2184,a2)))
% 0.76/1.05 [219]E(f19(x2191,f19(x2192,x2193,f33(x2194,a2)),f33(x2194,a2)),f19(x2192,f19(x2191,x2193,f33(x2194,a2)),f33(x2194,a2)))
% 0.76/1.05 [220]E(f15(f18(x2201,x2202,f33(x2203,a2)),x2204,f33(x2203,a2)),f18(x2201,f15(x2202,x2204,f33(x2203,a2)),f33(x2203,a2)))
% 0.76/1.05 [221]E(f18(f18(x2211,x2212,f33(x2213,a2)),x2214,f33(x2213,a2)),f18(x2211,f18(x2212,x2214,f33(x2213,a2)),f33(x2213,a2)))
% 0.76/1.05 [222]E(f19(f19(x2221,x2222,f33(x2223,a2)),x2224,f33(x2223,a2)),f19(x2221,f19(x2222,x2224,f33(x2223,a2)),f33(x2223,a2)))
% 0.76/1.05 [227]E(f19(f15(x2271,x2272,f33(x2273,a2)),f15(x2271,x2274,f33(x2273,a2)),f33(x2273,a2)),f15(x2271,f18(x2272,x2274,f33(x2273,a2)),f33(x2273,a2)))
% 0.76/1.05 [228]E(f18(f15(x2281,x2282,f33(x2283,a2)),f15(x2281,x2284,f33(x2283,a2)),f33(x2283,a2)),f15(x2281,f19(x2282,x2284,f33(x2283,a2)),f33(x2283,a2)))
% 0.76/1.05 [229]E(f15(f18(x2291,x2292,f33(x2293,a2)),f18(x2291,x2294,f33(x2293,a2)),f33(x2293,a2)),f18(x2291,f15(x2292,x2294,f33(x2293,a2)),f33(x2293,a2)))
% 0.76/1.05 [230]E(f19(f18(x2301,x2302,f33(x2303,a2)),f18(x2301,x2304,f33(x2303,a2)),f33(x2303,a2)),f18(x2301,f19(x2302,x2304,f33(x2303,a2)),f33(x2303,a2)))
% 0.76/1.05 [231]E(f18(f19(x2311,x2312,f33(x2313,a2)),f19(x2311,x2314,f33(x2313,a2)),f33(x2313,a2)),f19(x2311,f18(x2312,x2314,f33(x2313,a2)),f33(x2313,a2)))
% 0.76/1.05 [232]E(f19(f15(x2321,x2322,f33(x2323,a2)),f15(x2324,x2322,f33(x2323,a2)),f33(x2323,a2)),f15(f19(x2321,x2324,f33(x2323,a2)),x2322,f33(x2323,a2)))
% 0.76/1.05 [233]E(f15(f18(x2331,x2332,f33(x2333,a2)),f18(x2334,x2332,f33(x2333,a2)),f33(x2333,a2)),f18(f15(x2331,x2334,f33(x2333,a2)),x2332,f33(x2333,a2)))
% 0.76/1.05 [234]E(f19(f18(x2341,x2342,f33(x2343,a2)),f18(x2344,x2342,f33(x2343,a2)),f33(x2343,a2)),f18(f19(x2341,x2344,f33(x2343,a2)),x2342,f33(x2343,a2)))
% 0.76/1.05 [235]E(f18(f19(x2351,x2352,f33(x2353,a2)),f19(x2354,x2352,f33(x2353,a2)),f33(x2353,a2)),f19(f18(x2351,x2354,f33(x2353,a2)),x2352,f33(x2353,a2)))
% 0.76/1.05 [236]E(f15(f18(x2361,x2362,f33(x2363,a2)),f18(x2364,x2362,f33(x2363,a2)),f33(x2363,a2)),f15(f18(x2361,x2362,f33(x2363,a2)),x2364,f33(x2363,a2)))
% 0.76/1.05 [237]E(f15(f15(x2371,x2372,f33(x2373,a2)),f26(x2374,f5(f33(x2373,a2)),x2373),f33(x2373,a2)),f15(x2371,f26(x2374,x2372,x2373),f33(x2373,a2)))
% 0.76/1.05 [239]E(f15(x2391,f8(f5(f33(x2392,a2)),x2393,x2392,f33(x2394,a2)),f33(x2394,a2)),x2391)
% 0.76/1.05 [240]E(f19(x2401,f8(f5(f33(x2402,a2)),x2403,x2402,f33(x2404,a2)),f33(x2404,a2)),x2401)
% 0.76/1.05 [241]E(f19(f8(f5(f33(x2411,a2)),x2412,x2411,f33(x2413,a2)),x2414,f33(x2413,a2)),x2414)
% 0.76/1.05 [243]E(f15(f15(x2431,f26(x2432,f5(f33(x2433,a2)),x2433),f33(x2433,a2)),x2434,f33(x2433,a2)),f15(x2431,f26(x2432,x2434,x2433),f33(x2433,a2)))
% 0.76/1.05 [252]E(f19(f19(f18(x2521,x2522,f33(x2523,a2)),f18(x2522,x2524,f33(x2523,a2)),f33(x2523,a2)),f18(x2524,x2521,f33(x2523,a2)),f33(x2523,a2)),f18(f18(f19(x2521,x2522,f33(x2523,a2)),f19(x2522,x2524,f33(x2523,a2)),f33(x2523,a2)),f19(x2524,x2521,f33(x2523,a2)),f33(x2523,a2)))
% 0.76/1.05 [215]E(f26(x2151,f19(x2152,x2153,f33(x2154,a2)),x2154),f19(x2152,f26(x2151,x2153,x2154),f33(x2154,a2)))
% 0.76/1.05 [216]E(f26(x2161,f19(x2162,x2163,f33(x2164,a2)),x2164),f19(f26(x2161,x2162,x2164),x2163,f33(x2164,a2)))
% 0.76/1.05 [223]E(f18(f26(x2231,x2232,x2233),f26(x2231,x2234,x2233),f33(x2233,a2)),f26(x2231,f18(x2232,x2234,f33(x2233,a2)),x2233))
% 0.76/1.05 [242]E(f26(x2421,f8(f5(f33(x2422,a2)),x2423,x2422,f33(x2424,a2)),x2424),f26(x2421,f5(f33(x2424,a2)),x2424))
% 0.76/1.05 [253]P36(f29(x2531,f28(x2532,f26(f31(x2532,x2531),f5(f33(x2533,a2)),x2533),x2534,x2533),x2534))
% 0.76/1.05 [244]E(f8(f26(x2441,x2442,x2443),x2444,x2443,f33(x2445,a2)),f19(f31(x2444,x2441),f8(x2442,x2444,x2443,f33(x2445,a2)),f33(x2445,a2)))
% 0.76/1.05 [250]E(f19(f8(x2501,x2502,x2503,f33(x2504,a2)),f8(x2505,x2502,x2503,f33(x2504,a2)),f33(x2504,a2)),f8(f19(x2501,x2505,f33(x2503,a2)),x2502,x2503,f33(x2504,a2)))
% 0.76/1.05 [251]E(f19(f28(x2511,f26(x2512,f5(f33(x2513,a2)),x2513),x2514,x2513),f28(x2511,x2515,x2514,x2513),f33(x2514,a2)),f28(x2511,f26(x2512,x2515,x2513),x2514,x2513))
% 0.76/1.05 [247]E(f15(f28(x2471,x2472,x2473,x2474),f28(x2471,x2475,x2473,x2474),f33(x2473,a2)),f28(x2471,f15(x2472,x2475,f33(x2474,a2)),x2473,x2474))
% 0.76/1.05 [248]E(f18(f28(x2481,x2482,x2483,x2484),f28(x2481,x2485,x2483,x2484),f33(x2483,a2)),f28(x2481,f18(x2482,x2485,f33(x2484,a2)),x2483,x2484))
% 0.76/1.05 [249]E(f19(f28(x2491,x2492,x2493,x2494),f28(x2491,x2495,x2493,x2494),f33(x2493,a2)),f28(x2491,f19(x2492,x2495,f33(x2494,a2)),x2493,x2494))
% 0.76/1.05 [709]~P14(a3)+E(f11(a35,f19(f26(a34,f5(f33(a1,a2)),a1),f24(a34,a37,a1),f33(a1,a2)),a1,a3),f17(f31(a35,a34),f11(a35,f24(a34,a37,a1),a1,a3),a3))
% 0.76/1.05 [273]~P14(x2731)+P15(x2731)
% 0.76/1.05 [274]~P14(x2741)+P20(x2741)
% 0.76/1.05 [288]E(x2881,f14(a1))+P4(f14(a1),x2881,a1)
% 0.76/1.05 [313]~P22(x3131)+E(f17(f14(x3131),f14(x3131),x3131),f14(x3131))
% 0.76/1.05 [324]E(x3241,f14(a1))+~P4(x3241,f4(f14(a1)),a1)
% 0.76/1.05 [310]~P30(x3101)+E(f31(f5(f33(a3,x3101)),a38),f5(x3101))
% 0.76/1.05 [312]~P3(x3121)+E(f9(f5(f33(x3121,a2)),x3121),f5(x3121))
% 0.76/1.05 [289]~P28(x2892)+P6(x2891,x2891,x2892)
% 0.76/1.05 [290]~P31(x2902)+P6(x2901,x2901,x2902)
% 0.76/1.05 [316]~P4(x3162,x3162,x3161)+~P28(x3161)
% 0.76/1.05 [317]~P4(x3172,x3172,x3171)+~P29(x3171)
% 0.76/1.05 [318]~P4(x3182,x3182,x3181)+~P31(x3181)
% 0.76/1.05 [276]E(x2761,x2762)+~E(f4(x2761),f4(x2762))
% 0.76/1.05 [277]~P2(x2772)+P2(f33(x2771,x2772))
% 0.76/1.05 [278]~P2(x2782)+P12(f33(x2781,x2782))
% 0.76/1.05 [279]~P28(x2792)+P28(f33(x2791,x2792))
% 0.76/1.05 [280]~P3(x2802)+P3(f33(x2801,x2802))
% 0.76/1.05 [281]~P31(x2812)+P31(f33(x2811,x2812))
% 0.76/1.05 [282]~P7(x2822)+P7(f33(x2821,x2822))
% 0.76/1.05 [283]~P9(x2832)+P9(f33(x2831,x2832))
% 0.76/1.05 [284]~P30(x2842)+P30(f33(x2841,x2842))
% 0.76/1.05 [285]~P8(x2852)+P8(f33(x2851,x2852))
% 0.76/1.05 [286]~P2(x2862)+P16(f33(x2861,x2862))
% 0.76/1.05 [287]~P11(x2872)+P11(f33(x2871,x2872))
% 0.76/1.05 [291]~P12(x2912)+E(f18(x2911,x2911,x2912),x2911)
% 0.76/1.05 [292]~P16(x2922)+E(f19(x2921,x2921,x2922),x2921)
% 0.76/1.05 [294]~P21(x2942)+E(f15(x2941,x2941,x2942),f14(x2942))
% 0.76/1.05 [295]~P17(x2952)+E(f15(x2951,x2951,x2952),f14(x2952))
% 0.76/1.05 [296]~P30(x2961)+P6(f5(x2961),x2962,x2961)
% 0.76/1.05 [329]P4(x3291,x3292,a1)+P4(x3292,f4(x3291),a1)
% 0.76/1.05 [348]~P4(x3481,x3482,a1)+P4(x3481,f4(x3482),a1)
% 0.76/1.05 [356]P4(x3561,x3562,a1)+~P4(f4(x3561),x3562,a1)
% 0.76/1.05 [368]~P4(x3681,x3682,a1)+P4(f4(x3681),f4(x3682),a1)
% 0.76/1.05 [379]P4(x3791,x3792,a1)+~P4(f4(x3791),f4(x3792),a1)
% 0.76/1.05 [399]~P4(x3991,x3992,a1)+~P4(x3992,f4(x3991),a1)
% 0.76/1.05 [297]~P21(x2972)+E(f15(x2971,f14(x2972),x2972),x2971)
% 0.76/1.05 [298]~P14(x2982)+E(f17(x2981,f14(x2982),x2982),x2981)
% 0.76/1.05 [299]~P32(x2992)+E(f17(x2991,f14(x2992),x2992),x2991)
% 0.76/1.05 [300]~P20(x3002)+E(f17(x3001,f14(x3002),x3002),x3001)
% 0.76/1.05 [301]~P9(x3012)+E(f19(x3011,f5(x3012),x3012),x3011)
% 0.76/1.05 [302]~P14(x3021)+E(f17(f14(x3021),x3022,x3021),x3022)
% 0.76/1.05 [304]~P32(x3041)+E(f17(f14(x3041),x3042,x3041),x3042)
% 0.76/1.05 [305]~P20(x3051)+E(f17(f14(x3051),x3052,x3051),x3052)
% 0.76/1.05 [306]~P9(x3061)+E(f19(f5(x3061),x3062,x3061),x3062)
% 0.76/1.05 [307]~P9(x3072)+E(f18(x3071,f5(x3072),x3072),f5(x3072))
% 0.76/1.05 [308]~P9(x3081)+E(f18(f5(x3081),x3082,x3081),f5(x3081))
% 0.76/1.05 [445]~P6(x4451,f5(f33(x4452,a2)),f33(x4452,a2))+E(x4451,f5(f33(x4452,a2)))
% 0.76/1.05 [382]~P28(x3822)+E(f23(x3821,x3821,x3822),f26(x3821,f5(f33(x3822,a2)),x3822))
% 0.76/1.05 [446]~P3(x4462)+E(f10(f26(x4461,f5(f33(x4462,a2)),x4462),x4462),x4461)
% 0.76/1.05 [447]~P3(x4472)+E(f9(f26(x4471,f5(f33(x4472,a2)),x4472),x4472),x4471)
% 0.76/1.05 [448]~P29(x4482)+E(f12(f26(x4481,f5(f33(x4482,a2)),x4482),x4482),x4481)
% 0.76/1.05 [449]~P29(x4492)+E(f13(f26(x4491,f5(f33(x4492,a2)),x4492),x4492),x4491)
% 0.76/1.05 [331]~P14(x3313)+E(f17(x3311,x3312,x3313),f17(x3312,x3311,x3313))
% 0.76/1.05 [333]~P32(x3333)+E(f17(x3331,x3332,x3333),f17(x3332,x3331,x3333))
% 0.76/1.05 [334]~P2(x3343)+E(f18(x3341,x3342,x3343),f18(x3342,x3341,x3343))
% 0.76/1.05 [335]~P12(x3353)+E(f18(x3351,x3352,x3353),f18(x3352,x3351,x3353))
% 0.76/1.05 [336]~P2(x3363)+E(f19(x3361,x3362,x3363),f19(x3362,x3361,x3363))
% 0.76/1.05 [337]~P16(x3373)+E(f19(x3371,x3372,x3373),f19(x3372,x3371,x3373))
% 0.76/1.05 [381]~P36(f31(x3812,x3811))+P36(f29(x3811,x3812,x3813))
% 0.76/1.05 [383]~P2(x3833)+P6(x3831,f19(x3832,x3831,x3833),x3833)
% 0.76/1.05 [384]~P16(x3843)+P6(x3841,f19(x3842,x3841,x3843),x3843)
% 0.76/1.05 [385]~P2(x3853)+P6(x3851,f19(x3851,x3852,x3853),x3853)
% 0.76/1.05 [386]~P16(x3863)+P6(x3861,f19(x3861,x3862,x3863),x3863)
% 0.76/1.05 [387]~P2(x3873)+P6(f18(x3871,x3872,x3873),x3872,x3873)
% 0.76/1.05 [388]~P12(x3883)+P6(f18(x3881,x3882,x3883),x3882,x3883)
% 0.76/1.05 [389]~P2(x3893)+P6(f18(x3891,x3892,x3893),x3891,x3893)
% 0.76/1.05 [390]~P12(x3903)+P6(f18(x3901,x3902,x3903),x3901,x3903)
% 0.76/1.05 [430]P36(f31(x4301,x4302))+~P36(f29(x4302,x4301,x4303))
% 0.76/1.05 [444]E(f26(x4441,x4442,x4443),x4442)+~P36(f29(x4441,x4442,x4443))
% 0.76/1.05 [314]~P36(f31(x3141,x3143))+~E(x3141,f5(f33(x3142,a2)))
% 0.76/1.05 [315]~P36(f31(x3152,x3153))+~E(f5(f33(x3151,a2)),x3152)
% 0.76/1.05 [391]~P2(x3913)+E(f18(x3911,f19(x3911,x3912,x3913),x3913),x3911)
% 0.76/1.05 [392]~P2(x3923)+E(f19(x3921,f18(x3921,x3922,x3923),x3923),x3921)
% 0.76/1.05 [393]~P21(x3933)+E(f15(f17(x3931,x3932,x3933),x3932,x3933),x3931)
% 0.76/1.05 [394]~P21(x3943)+E(f17(f15(x3941,x3942,x3943),x3942,x3943),x3941)
% 0.76/1.05 [419]E(x4191,f5(f33(x4192,a2)))+~E(f19(x4193,x4191,f33(x4192,a2)),f5(f33(x4192,a2)))
% 0.76/1.05 [420]E(x4201,f5(f33(x4202,a2)))+~E(f19(x4201,x4203,f33(x4202,a2)),f5(f33(x4202,a2)))
% 0.76/1.05 [423]~P6(x4232,x4231,f33(x4233,a2))+E(f18(x4231,x4232,f33(x4233,a2)),x4232)
% 0.76/1.05 [424]~P6(x4241,x4242,f33(x4243,a2))+E(f18(x4241,x4242,f33(x4243,a2)),x4241)
% 0.76/1.05 [425]~P6(x4251,x4252,f33(x4253,a2))+E(f19(x4251,x4252,f33(x4253,a2)),x4252)
% 0.76/1.05 [426]~P6(x4262,x4261,f33(x4263,a2))+E(f19(x4261,x4262,f33(x4263,a2)),x4261)
% 0.76/1.05 [427]P6(x4271,x4272,f33(x4273,a2))+~E(f19(x4271,x4272,f33(x4273,a2)),x4272)
% 0.76/1.05 [431]~P3(x4313)+E(f18(x4311,f10(x4312,x4313),x4313),f10(f26(x4311,x4312,x4313),x4313))
% 0.76/1.05 [432]~P3(x4323)+E(f19(x4321,f9(x4322,x4323),x4323),f9(f26(x4321,x4322,x4323),x4323))
% 0.76/1.05 [439]~P2(x4393)+E(f18(x4391,f18(x4391,x4392,x4393),x4393),f18(x4391,x4392,x4393))
% 0.76/1.05 [440]~P12(x4403)+E(f18(x4401,f18(x4401,x4402,x4403),x4403),f18(x4401,x4402,x4403))
% 0.76/1.05 [441]~P2(x4413)+E(f19(x4411,f19(x4411,x4412,x4413),x4413),f19(x4411,x4412,x4413))
% 0.76/1.05 [442]~P16(x4423)+E(f19(x4421,f19(x4421,x4422,x4423),x4423),f19(x4421,x4422,x4423))
% 0.76/1.05 [460]E(f15(x4601,x4602,f33(x4603,a2)),x4601)+~E(f18(x4601,x4602,f33(x4603,a2)),f5(f33(x4603,a2)))
% 0.76/1.05 [513]~P22(x5133)+E(f17(f19(x5131,x5132,x5133),f18(x5131,x5132,x5133),x5133),f17(x5131,x5132,x5133))
% 0.76/1.05 [544]~P6(x5441,x5442,f33(x5443,a2))+E(f19(x5441,f15(x5442,x5441,f33(x5443,a2)),f33(x5443,a2)),x5442)
% 0.76/1.05 [624]P36(f29(x6241,x6242,x6243))+E(f15(f26(x6241,x6242,x6243),f26(x6241,f5(f33(x6243,a2)),x6243),f33(x6243,a2)),x6242)
% 0.76/1.05 [482]~P8(x4823)+E(f15(f31(x4821,a38),f31(x4822,a38),x4823),f31(f15(x4821,x4822,f33(a3,x4823)),a38))
% 0.76/1.05 [483]~P2(x4833)+E(f18(f31(x4831,a38),f31(x4832,a38),x4833),f31(f18(x4831,x4832,f33(a3,x4833)),a38))
% 0.76/1.05 [484]~P2(x4843)+E(f19(f31(x4841,a38),f31(x4842,a38),x4843),f31(f19(x4841,x4842,f33(a3,x4843)),a38))
% 0.76/1.05 [489]~P14(x4893)+E(f11(x4891,f5(f33(x4892,a2)),x4892,x4893),f14(x4893))
% 0.76/1.05 [536]E(x5361,x5362)+~E(f26(x5361,f5(f33(x5363,a2)),x5363),f26(x5362,f5(f33(x5363,a2)),x5363))
% 0.76/1.05 [678]~P36(f29(x6781,x6782,x6783))+E(f26(x6781,f15(x6782,f26(x6781,f5(f33(x6783,a2)),x6783),f33(x6783,a2)),x6783),x6782)
% 0.76/1.05 [668]E(x6681,x6682)+~P36(f31(f26(x6681,f5(f33(x6683,a2)),x6683),x6682))
% 0.76/1.05 [685]E(x6851,x6852)+~P36(f29(x6851,f26(x6852,f5(f33(x6853,a2)),x6853),x6853))
% 0.76/1.05 [689]E(x6891,f20(f26(x6892,f5(f33(x6893,a2)),x6893),x6893))+~P36(f31(f26(x6892,f5(f33(x6893,a2)),x6893),x6891))
% 0.76/1.05 [654]~P3(x6543)+E(f10(f26(x6541,f26(x6542,f5(f33(x6543,a2)),x6543),x6543),x6543),f18(x6541,x6542,x6543))
% 0.76/1.05 [655]~P3(x6553)+E(f9(f26(x6551,f26(x6552,f5(f33(x6553,a2)),x6553),x6553),x6553),f19(x6551,x6552,x6553))
% 0.76/1.05 [488]~P6(x4881,x4883,f33(x4884,a2))+P6(x4881,f26(x4882,x4883,x4884),f33(x4884,a2))
% 0.76/1.05 [566]~P6(f26(x5664,x5661,x5663),x5662,f33(x5663,a2))+P6(x5661,x5662,f33(x5663,a2))
% 0.76/1.05 [574]~P6(f26(x5741,x5744,x5743),x5742,f33(x5743,a2))+P36(f29(x5741,x5742,x5743))
% 0.76/1.05 [580]~P6(x5802,x5804,f33(x5803,a2))+P6(f26(x5801,x5802,x5803),f26(x5801,x5804,x5803),f33(x5803,a2))
% 0.76/1.05 [485]~P36(f31(x4852,x4854))+P36(f31(f26(x4851,x4852,x4853),x4854))
% 0.76/1.05 [503]~P28(x5033)+E(f18(f23(x5031,x5032,x5033),f25(x5032,x5034,x5033),f33(x5033,a2)),f5(f33(x5033,a2)))
% 0.76/1.05 [504]~P28(x5043)+E(f18(f23(x5041,x5042,x5043),f24(x5042,x5044,x5043),f33(x5043,a2)),f5(f33(x5043,a2)))
% 0.76/1.05 [505]~P28(x5053)+E(f18(f25(x5051,x5052,x5053),f25(x5052,x5054,x5053),f33(x5053,a2)),f5(f33(x5053,a2)))
% 0.76/1.05 [506]~P28(x5063)+E(f18(f25(x5061,x5062,x5063),f24(x5062,x5064,x5063),f33(x5063,a2)),f5(f33(x5063,a2)))
% 0.76/1.05 [507]~P28(x5073)+E(f18(f22(x5071,x5072,x5073),f23(x5072,x5074,x5073),f33(x5073,a2)),f5(f33(x5073,a2)))
% 0.76/1.05 [508]~P28(x5083)+E(f18(f22(x5081,x5082,x5083),f22(x5082,x5084,x5083),f33(x5083,a2)),f5(f33(x5083,a2)))
% 0.76/1.05 [509]~P28(x5093)+E(f18(f24(x5091,x5092,x5093),f23(x5092,x5094,x5093),f33(x5093,a2)),f5(f33(x5093,a2)))
% 0.76/1.05 [510]~P28(x5103)+E(f18(f24(x5101,x5102,x5103),f22(x5102,x5104,x5103),f33(x5103,a2)),f5(f33(x5103,a2)))
% 0.76/1.05 [514]~P17(x5144)+E(f17(x5141,f17(x5142,x5143,x5144),x5144),f17(x5142,f17(x5141,x5143,x5144),x5144))
% 0.76/1.05 [515]~P14(x5154)+E(f17(x5151,f17(x5152,x5153,x5154),x5154),f17(x5152,f17(x5151,x5153,x5154),x5154))
% 0.76/1.05 [516]~P32(x5164)+E(f17(x5161,f17(x5162,x5163,x5164),x5164),f17(x5162,f17(x5161,x5163,x5164),x5164))
% 0.76/1.05 [517]~P2(x5174)+E(f18(x5171,f18(x5172,x5173,x5174),x5174),f18(x5172,f18(x5171,x5173,x5174),x5174))
% 0.76/1.05 [518]~P12(x5184)+E(f18(x5181,f18(x5182,x5183,x5184),x5184),f18(x5182,f18(x5181,x5183,x5184),x5184))
% 0.76/1.05 [519]~P2(x5194)+E(f19(x5191,f19(x5192,x5193,x5194),x5194),f19(x5192,f19(x5191,x5193,x5194),x5194))
% 0.76/1.05 [520]~P16(x5204)+E(f19(x5201,f19(x5202,x5203,x5204),x5204),f19(x5202,f19(x5201,x5203,x5204),x5204))
% 0.76/1.05 [523]~P14(x5233)+E(f17(f17(x5231,x5232,x5233),x5234,x5233),f17(x5231,f17(x5232,x5234,x5233),x5233))
% 0.76/1.05 [524]~P32(x5243)+E(f17(f17(x5241,x5242,x5243),x5244,x5243),f17(x5241,f17(x5242,x5244,x5243),x5243))
% 0.76/1.05 [525]~P15(x5253)+E(f17(f17(x5251,x5252,x5253),x5254,x5253),f17(x5251,f17(x5252,x5254,x5253),x5253))
% 0.76/1.05 [526]~P2(x5263)+E(f18(f18(x5261,x5262,x5263),x5264,x5263),f18(x5261,f18(x5262,x5264,x5263),x5263))
% 0.76/1.05 [527]~P12(x5273)+E(f18(f18(x5271,x5272,x5273),x5274,x5273),f18(x5271,f18(x5272,x5274,x5273),x5273))
% 0.76/1.05 [528]~P2(x5283)+E(f19(f19(x5281,x5282,x5283),x5284,x5283),f19(x5281,f19(x5282,x5284,x5283),x5283))
% 0.76/1.05 [529]~P16(x5293)+E(f19(f19(x5291,x5292,x5293),x5294,x5293),f19(x5291,f19(x5292,x5294,x5293),x5293))
% 0.76/1.05 [530]~P32(x5303)+E(f17(f17(x5301,x5302,x5303),x5304,x5303),f17(f17(x5301,x5304,x5303),x5302,x5303))
% 0.76/1.05 [568]P36(f29(x5682,x5681,x5684))+E(f18(x5681,f26(x5682,x5683,x5684),f33(x5684,a2)),f18(x5681,x5683,f33(x5684,a2)))
% 0.76/1.05 [569]P36(f29(x5691,x5694,x5693))+E(f18(f26(x5691,x5692,x5693),x5694,f33(x5693,a2)),f18(x5692,x5694,f33(x5693,a2)))
% 0.76/1.05 [585]~P22(x5853)+E(f18(f17(x5851,x5852,x5853),f17(x5851,x5854,x5853),x5853),f17(x5851,f18(x5852,x5854,x5853),x5853))
% 0.76/1.05 [586]~P23(x5863)+E(f18(f17(x5861,x5862,x5863),f17(x5861,x5864,x5863),x5863),f17(x5861,f18(x5862,x5864,x5863),x5863))
% 0.76/1.05 [587]~P22(x5873)+E(f19(f17(x5871,x5872,x5873),f17(x5871,x5874,x5873),x5873),f17(x5871,f19(x5872,x5874,x5873),x5873))
% 0.76/1.05 [588]~P24(x5883)+E(f19(f17(x5881,x5882,x5883),f17(x5881,x5884,x5883),x5883),f17(x5881,f19(x5882,x5884,x5883),x5883))
% 0.76/1.05 [589]~P11(x5893)+E(f19(f18(x5891,x5892,x5893),f18(x5891,x5894,x5893),x5893),f18(x5891,f19(x5892,x5894,x5893),x5893))
% 0.76/1.05 [590]~P11(x5903)+E(f18(f19(x5901,x5902,x5903),f19(x5901,x5904,x5903),x5903),f19(x5901,f18(x5902,x5904,x5903),x5903))
% 0.76/1.05 [591]~P22(x5913)+E(f18(f17(x5911,x5912,x5913),f17(x5914,x5912,x5913),x5913),f17(f18(x5911,x5914,x5913),x5912,x5913))
% 0.76/1.05 [592]~P23(x5923)+E(f18(f17(x5921,x5922,x5923),f17(x5924,x5922,x5923),x5923),f17(f18(x5921,x5924,x5923),x5922,x5923))
% 0.76/1.05 [593]~P22(x5933)+E(f19(f17(x5931,x5932,x5933),f17(x5934,x5932,x5933),x5933),f17(f19(x5931,x5934,x5933),x5932,x5933))
% 0.76/1.05 [594]~P24(x5943)+E(f19(f17(x5941,x5942,x5943),f17(x5944,x5942,x5943),x5943),f17(f19(x5941,x5944,x5943),x5942,x5943))
% 0.76/1.05 [595]~P11(x5953)+E(f19(f18(x5951,x5952,x5953),f18(x5954,x5952,x5953),x5953),f18(f19(x5951,x5954,x5953),x5952,x5953))
% 0.76/1.05 [596]~P11(x5963)+E(f18(f19(x5961,x5962,x5963),f19(x5964,x5962,x5963),x5963),f19(f18(x5961,x5964,x5963),x5962,x5963))
% 0.76/1.05 [597]~P36(f29(x5971,x5974,x5973))+E(f15(f26(x5971,x5972,x5973),x5974,f33(x5973,a2)),f15(x5972,x5974,f33(x5973,a2)))
% 0.76/1.05 [599]P6(x5991,x5992,f33(x5993,a2))+~P6(x5991,f18(x5994,x5992,f33(x5993,a2)),f33(x5993,a2))
% 0.76/1.05 [600]P6(x6001,x6002,f33(x6003,a2))+~P6(x6001,f18(x6002,x6004,f33(x6003,a2)),f33(x6003,a2))
% 0.76/1.05 [601]P6(x6011,x6012,f33(x6013,a2))+~P6(f19(x6014,x6011,f33(x6013,a2)),x6012,f33(x6013,a2))
% 0.76/1.05 [602]P6(x6021,x6022,f33(x6023,a2))+~P6(f19(x6021,x6024,f33(x6023,a2)),x6022,f33(x6023,a2))
% 0.76/1.05 [622]~P36(f29(x6221,x6223,x6224))+P36(f29(x6221,f26(x6222,x6223,x6224),x6224))
% 0.76/1.05 [647]~P6(x6474,x6471,f33(x6473,a2))+E(f19(f18(x6471,x6472,f33(x6473,a2)),x6474,f33(x6473,a2)),f18(x6471,f19(x6472,x6474,f33(x6473,a2)),f33(x6473,a2)))
% 0.76/1.05 [652]~P6(f15(x6521,x6522,f33(x6524,a2)),x6523,f33(x6524,a2))+P6(x6521,f19(x6522,x6523,f33(x6524,a2)),f33(x6524,a2))
% 0.76/1.05 [653]~P6(x6531,f19(x6532,x6534,f33(x6533,a2)),f33(x6533,a2))+P6(f15(x6531,x6532,f33(x6533,a2)),x6534,f33(x6533,a2))
% 0.76/1.05 [677]P6(x6771,x6772,f33(x6773,a2))+~E(f19(f18(x6772,x6774,f33(x6773,a2)),x6771,f33(x6773,a2)),f18(x6772,f19(x6774,x6771,f33(x6773,a2)),f33(x6773,a2)))
% 0.76/1.05 [687]~P2(x6874)+P6(f19(x6871,f18(x6872,x6873,x6874),x6874),f18(f19(x6871,x6872,x6874),f19(x6871,x6873,x6874),x6874),x6874)
% 0.76/1.05 [688]~P2(x6883)+P6(f19(f18(x6881,x6882,x6883),f18(x6881,x6884,x6883),x6883),f18(x6881,f19(x6882,x6884,x6883),x6883),x6883)
% 0.76/1.05 [570]~P36(f31(x5702,x5704))+P36(f31(f19(x5701,x5702,f33(x5703,a2)),x5704))
% 0.76/1.05 [571]~P36(f31(x5711,x5714))+P36(f31(f19(x5711,x5712,f33(x5713,a2)),x5714))
% 0.76/1.05 [623]P36(f29(x6231,x6234,x6233))+E(f15(f26(x6231,x6232,x6233),x6234,f33(x6233,a2)),f26(x6231,f15(x6232,x6234,f33(x6233,a2)),x6233))
% 0.76/1.05 [641]P36(f31(x6411,x6412))+~P36(f31(f18(x6413,x6411,f33(x6414,a2)),x6412))
% 0.76/1.05 [642]P36(f31(x6421,x6422))+~P36(f31(f18(x6421,x6423,f33(x6424,a2)),x6422))
% 0.76/1.05 [643]~P36(f29(x6431,x6432,x6434))+E(f26(x6431,f18(x6432,x6433,f33(x6434,a2)),x6434),f18(x6432,f26(x6431,x6433,x6434),f33(x6434,a2)))
% 0.76/1.05 [644]~P36(f29(x6441,x6443,x6444))+E(f26(x6441,f18(x6442,x6443,f33(x6444,a2)),x6444),f18(f26(x6441,x6442,x6444),x6443,f33(x6444,a2)))
% 0.76/1.05 [650]~P36(f29(x6501,x6503,x6504))+P36(f29(x6501,f19(x6502,x6503,f33(x6504,a2)),x6504))
% 0.76/1.05 [651]~P36(f29(x6511,x6512,x6514))+P36(f29(x6511,f19(x6512,x6513,f33(x6514,a2)),x6514))
% 0.76/1.05 [665]P36(f31(x6651,x6652))+~P36(f29(x6652,f18(x6653,x6651,f33(x6654,a2)),x6654))
% 0.76/1.05 [670]P36(f29(x6701,x6702,x6703))+~P36(f29(x6701,f15(x6702,x6704,f33(x6703,a2)),x6703))
% 0.76/1.05 [671]P36(f29(x6711,x6712,x6713))+~P36(f29(x6711,f18(x6714,x6712,f33(x6713,a2)),x6713))
% 0.76/1.05 [673]P36(f29(x6731,x6732,x6733))+~P36(f29(x6731,f18(x6732,x6734,f33(x6733,a2)),x6733))
% 0.76/1.05 [680]~P36(f29(x6801,x6802,x6803))+~P36(f29(x6801,f15(x6804,x6802,f33(x6803,a2)),x6803))
% 0.76/1.05 [708]E(x7081,x7082)+~P36(f31(f7(x7083,f26(x7081,f5(f33(x7084,a2)),x7084),x7084),x7082))
% 0.76/1.05 [693]~P6(x6932,x6935,f33(x6934,a2))+P6(f28(x6931,x6932,x6933,x6934),f28(x6931,x6935,x6933,x6934),f33(x6933,a2))
% 0.76/1.05 [639]~P17(x6393)+E(f17(f15(x6391,x6392,x6393),f15(x6394,x6395,x6393),x6393),f15(f17(x6391,x6394,x6393),f17(x6392,x6395,x6393),x6393))
% 0.76/1.05 [640]~P32(x6403)+E(f17(f17(x6401,x6402,x6403),f17(x6404,x6405,x6403),x6403),f17(f17(x6401,x6404,x6403),f17(x6402,x6405,x6403),x6403))
% 0.76/1.05 [679]P6(f31(x6791,x6792),f8(x6793,x6791,x6794,f33(x6795,a2)),f33(x6795,a2))+~P36(f29(x6792,x6793,x6794))
% 0.76/1.05 [690]~P36(f29(x6902,x6903,x6904))+E(f19(f31(x6901,x6902),f8(x6903,x6901,x6904,f33(x6905,a2)),f33(x6905,a2)),f8(x6903,x6901,x6904,f33(x6905,a2)))
% 0.76/1.05 [692]~P36(f31(x6922,f31(x6921,x6925)))+P36(f31(f28(x6921,x6922,x6923,x6924),x6925))
% 0.76/1.05 [700]~P36(f29(f31(x7002,x7001),x7003,x7005))+P36(f29(x7001,f28(x7002,x7003,x7004,x7005),x7004))
% 0.76/1.05 [707]P36(f31(x7071,f31(x7072,x7073)))+~P36(f31(f28(x7072,x7071,x7074,x7075),x7073))
% 0.76/1.05 [711]~P36(f29(x7112,f28(x7111,x7113,x7115,x7114),x7115))+P36(f29(f31(x7111,x7112),x7113,x7114))
% 0.76/1.05 [712]E(f31(x7121,x7122),x7123)+~P36(f29(x7122,f28(x7121,f26(x7123,f5(f33(x7124,a2)),x7124),x7125,x7124),x7125))
% 0.76/1.05 [716]~P5(x7164,x7161,x7165,x7166,x7167,x7168,x7163,x7169,x7162)+E(f31(x7161,f5(f33(x7162,a2))),x7163)
% 0.76/1.05 [717]~P5(x7171,x7174,x7175,x7176,x7177,x7178,x7179,x7173,x7172)+E(f31(x7171,f5(f33(x7172,a2))),x7173)
% 0.76/1.05 [720]~P5(x7204,x7201,x7205,x7206,x7207,x7208,x7209,x72010,x7203)+E(f31(x7201,f26(x7202,f5(f33(x7203,a2)),x7203)),x7202)
% 0.76/1.05 [721]~P5(x7211,x7214,x7215,x7216,x7217,x7218,x7219,x72110,x7213)+E(f31(x7211,f26(x7212,f5(f33(x7213,a2)),x7213)),x7212)
% 0.76/1.05 [718]~P5(x7186,x7181,x7187,x7188,x7189,x7185,x71810,x71811,x7184)+E(f31(x7181,f26(x7182,x7183,x7184)),f31(f31(x7185,x7182),f31(x7181,x7183)))
% 0.76/1.05 [719]~P5(x7191,x7196,x7197,x7198,x7195,x7199,x71910,x71911,x7194)+E(f31(x7191,f26(x7192,x7193,x7194)),f31(f31(x7195,x7192),f31(x7191,x7193)))
% 0.76/1.05 [724]~P5(x7246,x7241,x7247,x7248,x7249,x7245,x72410,x72411,x7244)+E(f31(x7241,f26(x7242,f26(x7243,f5(f33(x7244,a2)),x7244),x7244)),f31(f31(x7245,x7242),x7243))
% 0.76/1.05 [725]~P5(x7251,x7256,x7257,x7258,x7255,x7259,x72510,x72511,x7254)+E(f31(x7251,f26(x7252,f26(x7253,f5(f33(x7254,a2)),x7254),x7254)),f31(f31(x7255,x7252),x7253))
% 0.76/1.05 [416]~P1(x4161)+~P6(f14(x4161),f14(x4161),x4161)+E(f17(f14(x4161),f14(x4161),x4161),f14(x4161))
% 0.76/1.05 [355]E(x3551,f14(a1))+E(x3551,f4(f14(a1)))+~P4(x3551,f4(f4(f14(a1))),a1)
% 0.76/1.05 [328]E(x3281,x3282)+P4(x3282,x3281,a1)+P4(x3281,x3282,a1)
% 0.76/1.05 [309]~P34(x3092)+~P10(x3092)+E(f15(x3091,x3091,x3092),f14(x3092))
% 0.76/1.05 [323]~P22(x3232)+~E(f17(x3231,x3231,x3232),f14(x3232))+E(x3231,f14(x3232))
% 0.76/1.05 [359]~P4(x3591,x3592,a1)+E(f4(x3591),x3592)+P4(f4(x3591),x3592,a1)
% 0.76/1.05 [360]E(x3601,x3602)+P4(x3602,x3601,a1)+~P4(x3602,f4(x3601),a1)
% 0.76/1.05 [362]E(x3621,x3622)+P4(x3621,x3622,a1)+~P4(x3621,f4(x3622),a1)
% 0.76/1.05 [477]~P22(x4771)+~P6(f14(x4771),x4772,x4771)+P6(f14(x4771),f17(x4772,x4772,x4771),x4771)
% 0.76/1.05 [478]~P22(x4781)+~P4(f14(x4781),x4782,x4781)+P4(f14(x4781),f17(x4782,x4782,x4781),x4781)
% 0.76/1.05 [479]~P22(x4792)+~P6(x4791,f14(x4792),x4792)+P6(f17(x4791,x4791,x4792),f14(x4792),x4792)
% 0.76/1.05 [480]~P22(x4802)+~P4(x4801,f14(x4802),x4802)+P4(f17(x4801,x4801,x4802),f14(x4802),x4802)
% 0.76/1.05 [481]~P35(x4812)+~P4(x4811,f14(x4812),x4812)+P4(f17(x4811,x4811,x4812),f14(x4812),x4812)
% 0.76/1.05 [531]~P22(x5312)+~P6(f17(x5311,x5311,x5312),f14(x5312),x5312)+P6(x5311,f14(x5312),x5312)
% 0.76/1.05 [532]~P22(x5322)+~P4(f17(x5321,x5321,x5322),f14(x5322),x5322)+P4(x5321,f14(x5322),x5322)
% 0.76/1.05 [533]~P35(x5332)+~P4(f17(x5331,x5331,x5332),f14(x5332),x5332)+P4(x5331,f14(x5332),x5332)
% 0.76/1.05 [534]~P22(x5341)+~P6(f14(x5341),f17(x5342,x5342,x5341),x5341)+P6(f14(x5341),x5342,x5341)
% 0.76/1.05 [535]~P22(x5351)+~P4(f14(x5351),f17(x5352,x5352,x5351),x5351)+P4(f14(x5351),x5352,x5351)
% 0.76/1.05 [311]~P34(x3112)+~P10(x3112)+E(f17(x3111,f14(x3112),x3112),x3111)
% 0.76/1.05 [338]P6(x3382,x3381,x3383)+~P29(x3383)+P6(x3381,x3382,x3383)
% 0.76/1.05 [341]P4(x3412,x3411,x3413)+~P29(x3413)+P6(x3411,x3412,x3413)
% 0.76/1.05 [357]~P28(x3573)+~P4(x3571,x3572,x3573)+P6(x3571,x3572,x3573)
% 0.76/1.05 [358]~P31(x3583)+~P4(x3581,x3582,x3583)+P6(x3581,x3582,x3583)
% 0.76/1.05 [400]~P4(x4003,x4002,x4001)+~P28(x4001)+~P4(x4002,x4003,x4001)
% 0.76/1.05 [402]~P4(x4023,x4022,x4021)+~P29(x4021)+~P6(x4022,x4023,x4021)
% 0.76/1.05 [404]~P4(x4043,x4042,x4041)+~P29(x4041)+~P4(x4042,x4043,x4041)
% 0.76/1.05 [405]~P4(x4053,x4052,x4051)+~P31(x4051)+~P6(x4052,x4053,x4051)
% 0.76/1.05 [407]~P4(x4073,x4072,x4071)+~P31(x4071)+~P4(x4072,x4073,x4071)
% 0.76/1.05 [319]~P21(x3193)+E(x3191,x3192)+~E(f15(x3191,x3192,x3193),f14(x3193))
% 0.76/1.05 [320]~P17(x3203)+E(x3201,x3202)+~E(f15(x3201,x3202,x3203),f14(x3203))
% 0.76/1.05 [321]~P9(x3212)+~E(f19(x3213,x3211,x3212),f5(x3212))+E(x3211,f5(x3212))
% 0.76/1.05 [322]~P9(x3222)+~E(f19(x3221,x3223,x3222),f5(x3222))+E(x3221,f5(x3222))
% 0.76/1.05 [363]~P12(x3633)+~P6(x3632,x3631,x3633)+E(f18(x3631,x3632,x3633),x3632)
% 0.76/1.05 [364]~P12(x3643)+~P6(x3641,x3642,x3643)+E(f18(x3641,x3642,x3643),x3641)
% 0.76/1.05 [365]~P16(x3653)+~P6(x3651,x3652,x3653)+E(f19(x3651,x3652,x3653),x3652)
% 0.76/1.05 [366]~P16(x3663)+~P6(x3662,x3661,x3663)+E(f19(x3661,x3662,x3663),x3661)
% 0.76/1.05 [369]~P12(x3693)+P6(x3691,x3692,x3693)+~E(f18(x3691,x3692,x3693),x3691)
% 0.76/1.05 [370]~P16(x3703)+P6(x3701,x3702,x3703)+~E(f19(x3701,x3702,x3703),x3702)
% 0.76/1.05 [443]~P4(x4431,x4433,a1)+~P4(x4433,x4432,a1)+P4(f4(x4431),x4432,a1)
% 0.76/1.05 [462]E(x4621,x4622)+~P6(x4621,x4622,f33(x4623,a2))+~P6(x4622,x4621,f33(x4623,a2))
% 0.76/1.05 [473]~P25(x4733)+~P6(x4731,x4732,x4733)+P6(f15(x4731,x4732,x4733),f14(x4733),x4733)
% 0.76/1.05 [474]~P25(x4743)+~P4(x4741,x4742,x4743)+P4(f15(x4741,x4742,x4743),f14(x4743),x4743)
% 0.76/1.05 [475]~P3(x4753)+P6(x4751,f9(x4752,x4753),x4753)+~P36(f29(x4751,x4752,x4753))
% 0.76/1.05 [476]~P3(x4762)+P6(f10(x4761,x4762),x4763,x4762)+~P36(f29(x4763,x4761,x4762))
% 0.76/1.05 [511]~P25(x5113)+P6(x5111,x5112,x5113)+~P6(f15(x5111,x5112,x5113),f14(x5113),x5113)
% 0.76/1.05 [512]~P25(x5123)+P4(x5121,x5122,x5123)+~P4(f15(x5121,x5122,x5123),f14(x5123),x5123)
% 0.76/1.05 [349]P6(x3491,x3492,x3493)+~P28(x3493)+E(f23(x3491,x3492,x3493),f5(f33(x3493,a2)))
% 0.76/1.05 [350]P4(x3501,x3502,x3503)+~P28(x3503)+E(f25(x3501,x3502,x3503),f5(f33(x3503,a2)))
% 0.76/1.05 [351]P4(x3511,x3512,x3513)+~P28(x3513)+E(f22(x3511,x3512,x3513),f5(f33(x3513,a2)))
% 0.76/1.05 [352]P6(x3522,x3523,x3521)+~P28(x3521)+E(f5(f33(x3521,a2)),f23(x3522,x3523,x3521))
% 0.76/1.05 [353]P4(x3532,x3533,x3531)+~P28(x3531)+E(f5(f33(x3531,a2)),f25(x3532,x3533,x3531))
% 0.76/1.05 [354]P4(x3542,x3543,x3541)+~P28(x3541)+E(f5(f33(x3541,a2)),f22(x3542,x3543,x3541))
% 0.76/1.05 [395]~P28(x3953)+~P4(x3952,x3951,x3953)+E(f23(x3951,x3952,x3953),f5(f33(x3953,a2)))
% 0.76/1.05 [396]~P28(x3963)+~P6(x3962,x3961,x3963)+E(f25(x3961,x3962,x3963),f5(f33(x3963,a2)))
% 0.76/1.05 [397]~P28(x3973)+~P6(x3972,x3971,x3973)+E(f22(x3971,x3972,x3973),f5(f33(x3973,a2)))
% 0.76/1.05 [398]~P28(x3983)+~P6(x3982,x3981,x3983)+E(f24(x3981,x3982,x3983),f5(f33(x3983,a2)))
% 0.76/1.05 [433]~P28(x4333)+~P6(x4331,x4332,x4333)+~E(f23(x4331,x4332,x4333),f5(f33(x4333,a2)))
% 0.76/1.05 [434]~P28(x4343)+~P4(x4341,x4342,x4343)+~E(f25(x4341,x4342,x4343),f5(f33(x4343,a2)))
% 0.76/1.05 [435]~P28(x4353)+~P4(x4351,x4352,x4353)+~E(f22(x4351,x4352,x4353),f5(f33(x4353,a2)))
% 0.76/1.05 [436]~P28(x4361)+~P6(x4362,x4363,x4361)+~E(f5(f33(x4361,a2)),f23(x4362,x4363,x4361))
% 0.76/1.05 [437]~P28(x4371)+~P4(x4372,x4373,x4371)+~E(f5(f33(x4371,a2)),f25(x4372,x4373,x4371))
% 0.76/1.05 [438]~P28(x4381)+~P4(x4382,x4383,x4381)+~E(f5(f33(x4381,a2)),f22(x4382,x4383,x4381))
% 0.76/1.05 [635]~P29(x6353)+~P6(x6351,x6352,x6353)+E(f19(f22(x6351,x6352,x6353),f26(x6352,f5(f33(x6353,a2)),x6353),f33(x6353,a2)),f23(x6351,x6352,x6353))
% 0.76/1.05 [636]~P29(x6363)+~P4(x6361,x6362,x6363)+E(f19(f24(x6361,x6362,x6363),f26(x6362,f5(f33(x6363,a2)),x6363),f33(x6363,a2)),f25(x6361,x6362,x6363))
% 0.76/1.05 [637]~P29(x6372)+~P6(x6371,x6373,x6372)+E(f19(f26(x6371,f5(f33(x6372,a2)),x6372),f25(x6371,x6373,x6372),f33(x6372,a2)),f23(x6371,x6373,x6372))
% 0.76/1.05 [638]~P29(x6382)+~P4(x6381,x6383,x6382)+E(f19(f26(x6381,f5(f33(x6382,a2)),x6382),f24(x6381,x6383,x6382),f33(x6382,a2)),f22(x6381,x6383,x6382))
% 0.76/1.05 [649]~P6(x6491,f26(x6493,f5(f33(x6492,a2)),x6492),f33(x6492,a2))+E(x6491,f5(f33(x6492,a2)))+E(x6491,f26(x6493,f5(f33(x6492,a2)),x6492))
% 0.76/1.05 [676]~P14(x6763)+~E(f31(x6761,f14(a1)),f14(x6763))+E(f11(x6761,f22(f4(f14(a1)),x6762,a1),a1,x6763),f11(x6761,f22(f14(a1),x6762,a1),a1,x6763))
% 0.76/1.05 [408]~P17(x4084)+E(x4081,x4082)+~E(f15(x4083,x4083,x4084),f15(x4081,x4082,x4084))
% 0.76/1.05 [409]~P18(x4094)+E(x4091,x4092)+~E(f17(x4093,x4091,x4094),f17(x4093,x4092,x4094))
% 0.76/1.05 [410]~P19(x4104)+E(x4101,x4102)+~E(f17(x4103,x4101,x4104),f17(x4103,x4102,x4104))
% 0.76/1.05 [411]~P19(x4114)+E(x4111,x4112)+~E(f17(x4111,x4113,x4114),f17(x4112,x4113,x4114))
% 0.76/1.05 [412]~P17(x4123)+E(x4121,x4122)+~E(f15(x4121,x4122,x4123),f15(x4124,x4124,x4123))
% 0.76/1.05 [422]~P6(x4223,x4221,f33(x4224,a2))+P36(f31(x4221,x4222))+~P36(f31(x4223,x4222))
% 0.76/1.05 [465]~P16(x4654)+~P6(x4651,x4653,x4654)+P6(x4651,f19(x4652,x4653,x4654),x4654)
% 0.76/1.05 [466]~P16(x4664)+~P6(x4661,x4662,x4664)+P6(x4661,f19(x4662,x4663,x4664),x4664)
% 0.76/1.05 [467]~P16(x4674)+~P4(x4671,x4673,x4674)+P4(x4671,f19(x4672,x4673,x4674),x4674)
% 0.76/1.05 [468]~P16(x4684)+~P4(x4681,x4682,x4684)+P4(x4681,f19(x4682,x4683,x4684),x4684)
% 0.76/1.05 [469]~P12(x4693)+~P6(x4692,x4694,x4693)+P6(f18(x4691,x4692,x4693),x4694,x4693)
% 0.76/1.05 [470]~P12(x4703)+~P6(x4701,x4704,x4703)+P6(f18(x4701,x4702,x4703),x4704,x4703)
% 0.76/1.05 [471]~P12(x4713)+~P4(x4712,x4714,x4713)+P4(f18(x4711,x4712,x4713),x4714,x4713)
% 0.76/1.05 [472]~P12(x4723)+~P4(x4721,x4724,x4723)+P4(f18(x4721,x4722,x4723),x4724,x4723)
% 0.76/1.05 [491]~P12(x4913)+P6(x4911,x4912,x4913)+~P6(x4911,f18(x4914,x4912,x4913),x4913)
% 0.76/1.05 [493]~P12(x4933)+P6(x4931,x4932,x4933)+~P6(x4931,f18(x4932,x4934,x4933),x4933)
% 0.76/1.05 [495]~P16(x4953)+P6(x4951,x4952,x4953)+~P6(f19(x4954,x4951,x4953),x4952,x4953)
% 0.76/1.05 [497]~P16(x4973)+P6(x4971,x4972,x4973)+~P6(f19(x4971,x4974,x4973),x4972,x4973)
% 0.76/1.05 [502]~P6(x5021,x5024,f33(x5023,a2))+~P6(x5024,x5022,f33(x5023,a2))+P6(x5021,x5022,f33(x5023,a2))
% 0.76/1.05 [550]~P13(x5503)+~P6(x5501,x5504,x5503)+P6(f17(x5501,x5502,x5503),f17(x5504,x5502,x5503),x5503)
% 0.76/1.05 [551]~P26(x5513)+~P6(x5511,x5514,x5513)+P6(f17(x5511,x5512,x5513),f17(x5514,x5512,x5513),x5513)
% 0.76/1.05 [552]~P13(x5523)+~P6(x5522,x5524,x5523)+P6(f17(x5521,x5522,x5523),f17(x5521,x5524,x5523),x5523)
% 0.76/1.05 [553]~P26(x5533)+~P6(x5532,x5534,x5533)+P6(f17(x5531,x5532,x5533),f17(x5531,x5534,x5533),x5533)
% 0.76/1.05 [554]~P26(x5543)+~P4(x5541,x5544,x5543)+P4(f17(x5541,x5542,x5543),f17(x5544,x5542,x5543),x5543)
% 0.76/1.05 [555]~P27(x5553)+~P4(x5551,x5554,x5553)+P4(f17(x5551,x5552,x5553),f17(x5554,x5552,x5553),x5553)
% 0.76/1.05 [556]~P26(x5563)+~P4(x5562,x5564,x5563)+P4(f17(x5561,x5562,x5563),f17(x5561,x5564,x5563),x5563)
% 0.76/1.05 [557]~P27(x5573)+~P4(x5572,x5574,x5573)+P4(f17(x5571,x5572,x5573),f17(x5571,x5574,x5573),x5573)
% 0.76/1.05 [579]~P6(x5794,x5792,f33(x5793,a2))+P36(f29(x5791,x5792,x5793))+~P36(f29(x5791,x5794,x5793))
% 0.76/1.05 [615]~P6(x6152,f26(x6151,x6154,x6153),f33(x6153,a2))+P6(x6152,x6154,f33(x6153,a2))+P36(f29(x6151,x6152,x6153))
% 0.76/1.05 [616]~P6(x6162,x6164,f33(x6163,a2))+P6(f26(x6161,x6162,x6163),x6164,f33(x6163,a2))+~P36(f29(x6161,x6164,x6163))
% 0.76/1.05 [617]~P26(x6173)+P6(x6171,x6172,x6173)+~P6(f17(x6174,x6171,x6173),f17(x6174,x6172,x6173),x6173)
% 0.76/1.05 [618]~P26(x6183)+P6(x6181,x6182,x6183)+~P6(f17(x6181,x6184,x6183),f17(x6182,x6184,x6183),x6183)
% 0.76/1.05 [619]~P26(x6193)+P4(x6191,x6192,x6193)+~P4(f17(x6194,x6191,x6193),f17(x6194,x6192,x6193),x6193)
% 0.76/1.05 [620]~P26(x6203)+P4(x6201,x6202,x6203)+~P4(f17(x6201,x6204,x6203),f17(x6202,x6204,x6203),x6203)
% 0.76/1.05 [581]E(x5811,x5812)+P36(f31(x5813,x5811))+~P36(f31(f26(x5812,x5813,x5814),x5811))
% 0.76/1.05 [598]~P29(x5983)+~P6(x5981,x5984,x5983)+E(f15(f22(x5981,x5982,x5983),f22(x5981,x5984,x5983),f33(x5983,a2)),f22(x5984,x5982,x5983))
% 0.76/1.05 [610]~P6(x6101,x6102,f33(x6104,a2))+~P6(x6101,x6103,f33(x6104,a2))+P6(x6101,f18(x6102,x6103,f33(x6104,a2)),f33(x6104,a2))
% 0.76/1.05 [612]~P6(x6121,x6124,f33(x6123,a2))+~P6(x6122,x6124,f33(x6123,a2))+P6(f19(x6121,x6122,f33(x6123,a2)),x6124,f33(x6123,a2))
% 0.76/1.05 [613]~P6(x6131,x6132,f33(x6134,a2))+~P6(x6133,x6131,f33(x6134,a2))+E(f15(x6131,f15(x6132,x6133,f33(x6134,a2)),f33(x6134,a2)),x6133)
% 0.76/1.05 [626]~P36(f29(x6264,x6262,x6263))+~P36(f29(x6264,x6261,x6263))+~E(f18(x6261,x6262,f33(x6263,a2)),f5(f33(x6263,a2)))
% 0.76/1.05 [658]E(x6581,x6582)+P36(f29(x6581,x6583,x6584))+~P36(f29(x6581,f26(x6582,x6583,x6584),x6584))
% 0.76/1.05 [691]~P6(x6911,f26(x6912,x6914,x6913),f33(x6913,a2))+P6(f15(x6911,f26(x6912,f5(f33(x6913,a2)),x6913),f33(x6913,a2)),x6914,f33(x6913,a2))+~P36(f29(x6912,x6911,x6913))
% 0.76/1.05 [702]P6(x7021,f26(x7022,x7023,x7024),f33(x7024,a2))+~P6(f15(x7021,f26(x7022,f5(f33(x7024,a2)),x7024),f33(x7024,a2)),x7023,f33(x7024,a2))+~P36(f29(x7022,x7021,x7024))
% 0.76/1.05 [584]~P36(f31(x5842,x5844))+~P36(f31(x5841,x5844))+P36(f31(f18(x5841,x5842,f33(x5843,a2)),x5844))
% 0.76/1.05 [607]~P14(x6074)+~P4(x6073,x6072,a1)+E(f11(x6071,f22(x6072,f4(x6073),a1),a1,x6074),f14(x6074))
% 0.76/1.05 [648]P36(f31(x6481,x6482))+P36(f31(x6483,x6482))+~P36(f31(f19(x6481,x6483,f33(x6484,a2)),x6482))
% 0.76/1.05 [662]~P36(f31(x6623,x6621))+~P36(f29(x6621,x6622,x6624))+P36(f29(x6621,f18(x6622,x6623,f33(x6624,a2)),x6624))
% 0.76/1.05 [667]~P36(f29(x6671,x6674,x6673))+P36(f29(x6671,x6672,x6673))+P36(f29(x6671,f15(x6674,x6672,f33(x6673,a2)),x6673))
% 0.76/1.05 [675]~P36(f29(x6751,x6753,x6754))+~P36(f29(x6751,x6752,x6754))+P36(f29(x6751,f18(x6752,x6753,f33(x6754,a2)),x6754))
% 0.76/1.05 [686]P36(f29(x6861,x6862,x6863))+P36(f29(x6861,x6864,x6863))+~P36(f29(x6861,f19(x6862,x6864,f33(x6863,a2)),x6863))
% 0.76/1.05 [694]~P14(x6944)+P4(x6943,x6942,a1)+E(f17(f11(x6941,f22(x6942,x6943,a1),a1,x6944),f31(x6941,x6943),x6944),f11(x6941,f22(x6942,f4(x6943),a1),a1,x6944))
% 0.76/1.05 [695]~P14(x6954)+~P4(x6952,x6953,a1)+E(f17(f31(x6951,x6952),f11(x6951,f22(f4(x6952),x6953,a1),a1,x6954),x6954),f11(x6951,f22(x6952,x6953,a1),a1,x6954))
% 0.76/1.05 [459]~P7(x4594)+P6(f31(x4591,x4592),f31(x4593,x4592),x4594)+~P6(x4591,x4593,f33(x4595,x4594))
% 0.76/1.05 [545]~P28(x5453)+P6(x5451,x5452,x5453)+P6(f23(x5451,x5452,x5453),f23(x5454,x5455,x5453),f33(x5453,a2))
% 0.76/1.05 [669]~P3(x6695)+P6(f31(x6691,x6692),f8(x6693,x6691,x6694,x6695),x6695)+~P36(f29(x6692,x6693,x6694))
% 0.76/1.05 [575]~P17(x5753)+E(f17(x5751,x5752,x5753),x5754)+~E(f17(x5751,f17(x5755,x5752,x5753),x5753),f17(x5755,x5754,x5753))
% 0.76/1.05 [659]~P6(x6591,x6594,f33(x6593,a2))+~P6(x6595,x6592,f33(x6593,a2))+P6(f15(x6591,x6592,f33(x6593,a2)),f15(x6594,x6595,f33(x6593,a2)),f33(x6593,a2))
% 0.76/1.05 [660]~P6(x6601,x6604,f33(x6603,a2))+~P6(x6602,x6605,f33(x6603,a2))+P6(f18(x6601,x6602,f33(x6603,a2)),f18(x6604,x6605,f33(x6603,a2)),f33(x6603,a2))
% 0.76/1.05 [661]~P6(x6611,x6614,f33(x6613,a2))+~P6(x6612,x6615,f33(x6613,a2))+P6(f19(x6611,x6612,f33(x6613,a2)),f19(x6614,x6615,f33(x6613,a2)),f33(x6613,a2))
% 0.76/1.05 [664]~P36(f29(x6642,x6644,x6645))+E(f31(x6641,x6642),f5(f33(x6643,a2)))+~E(f8(x6644,x6641,x6645,f33(x6643,a2)),f5(f33(x6643,a2)))
% 0.76/1.05 [681]E(x6811,x6812)+E(x6811,x6813)+~E(f26(x6814,f26(x6811,f5(f33(x6815,a2)),x6815),x6815),f26(x6813,f26(x6812,f5(f33(x6815,a2)),x6815),x6815))
% 0.76/1.05 [682]E(x6821,x6822)+E(x6823,x6822)+~E(f26(x6823,f26(x6821,f5(f33(x6824,a2)),x6824),x6824),f26(x6825,f26(x6822,f5(f33(x6824,a2)),x6824),x6824))
% 0.76/1.05 [683]E(x6831,x6832)+E(x6833,x6832)+~E(f26(x6833,f26(x6831,f5(f33(x6834,a2)),x6834),x6834),f26(x6832,f26(x6835,f5(f33(x6834,a2)),x6834),x6834))
% 0.76/1.05 [684]E(x6841,x6842)+E(x6841,x6843)+~E(f26(x6841,f26(x6844,f5(f33(x6845,a2)),x6845),x6845),f26(x6843,f26(x6842,f5(f33(x6845,a2)),x6845),x6845))
% 0.76/1.05 [696]P6(f31(x6961,x6962),x6963,f33(x6964,a2))+~P6(f8(x6965,x6961,x6966,f33(x6964,a2)),x6963,f33(x6964,a2))+~P36(f29(x6962,x6965,x6966))
% 0.76/1.05 [704]~P36(f29(x7046,x7041,x7043))+~P36(f31(f31(x7042,x7046),x7045))+P36(f31(f8(x7041,x7042,x7043,f33(x7044,a2)),x7045))
% 0.76/1.05 [706]~P36(f29(x7066,x7062,x7064))+~P36(f29(x7061,f31(x7063,x7066),x7065))+P36(f29(x7061,f8(x7062,x7063,x7064,f33(x7065,a2)),x7065))
% 0.76/1.05 [722]~P5(x7226,x7223,x7221,x7227,x7228,x7229,x72210,x72211,x7225)+~P36(f29(x7222,x7224,x7225))+P36(f31(f31(x7221,x7222),f31(x7223,x7224)))
% 0.76/1.05 [723]~P5(x7232,x7236,x7231,x7237,x7238,x7239,x72310,x72311,x7235)+~P36(f29(x7234,x7233,x7235))+P36(f31(f31(x7231,f31(x7232,x7233)),x7234))
% 0.76/1.05 [343]P4(x3431,x3432,x3433)+~P35(x3433)+E(x3431,x3432)+P4(x3432,x3431,x3433)
% 0.76/1.05 [347]P4(x3471,x3472,x3473)+~P29(x3473)+E(x3471,x3472)+P4(x3472,x3471,x3473)
% 0.76/1.05 [376]~P28(x3763)+~P6(x3761,x3762,x3763)+E(x3761,x3762)+P4(x3761,x3762,x3763)
% 0.76/1.05 [378]~P29(x3783)+~P6(x3781,x3782,x3783)+E(x3781,x3782)+P4(x3781,x3782,x3783)
% 0.76/1.05 [415]~P6(x4152,x4151,x4153)+~P6(x4151,x4152,x4153)+E(x4151,x4152)+~P28(x4153)
% 0.76/1.05 [428]P4(x4282,x4281,x4283)+~P31(x4283)+~P6(x4282,x4281,x4283)+P6(x4281,x4282,x4283)
% 0.76/1.05 [325]~P34(x3252)+~P10(x3252)+~E(f17(x3253,x3251,x3252),x3253)+E(x3251,f14(x3252))
% 0.76/1.05 [326]~P34(x3263)+~P10(x3263)+E(x3261,x3262)+~E(f15(x3261,x3262,x3263),f14(x3263))
% 0.76/1.05 [558]~P1(x5581)+~P6(f14(x5581),x5583,x5581)+~P6(f14(x5581),x5582,x5581)+P6(f14(x5581),f17(x5582,x5583,x5581),x5581)
% 0.76/1.05 [559]~P1(x5591)+~P6(f14(x5591),x5593,x5591)+~P4(f14(x5591),x5592,x5591)+P4(f14(x5591),f17(x5592,x5593,x5591),x5591)
% 0.76/1.05 [560]~P1(x5601)+~P6(f14(x5601),x5602,x5601)+~P4(f14(x5601),x5603,x5601)+P4(f14(x5601),f17(x5602,x5603,x5601),x5601)
% 0.76/1.05 [561]~P1(x5611)+~P4(f14(x5611),x5613,x5611)+~P4(f14(x5611),x5612,x5611)+P4(f14(x5611),f17(x5612,x5613,x5611),x5611)
% 0.76/1.05 [562]~P1(x5623)+~P6(x5622,f14(x5623),x5623)+~P6(x5621,f14(x5623),x5623)+P6(f17(x5621,x5622,x5623),f14(x5623),x5623)
% 0.76/1.05 [563]~P1(x5633)+~P6(x5632,f14(x5633),x5633)+~P4(x5631,f14(x5633),x5633)+P4(f17(x5631,x5632,x5633),f14(x5633),x5633)
% 0.76/1.05 [564]~P1(x5643)+~P6(x5641,f14(x5643),x5643)+~P4(x5642,f14(x5643),x5643)+P4(f17(x5641,x5642,x5643),f14(x5643),x5643)
% 0.76/1.05 [565]~P1(x5653)+~P4(x5652,f14(x5653),x5653)+~P4(x5651,f14(x5653),x5653)+P4(f17(x5651,x5652,x5653),f14(x5653),x5653)
% 0.76/1.05 [450]~P28(x4503)+~P6(x4501,x4504,x4503)+P6(x4501,x4502,x4503)+~P6(x4504,x4502,x4503)
% 0.76/1.05 [451]~P31(x4513)+~P6(x4511,x4514,x4513)+P6(x4511,x4512,x4513)+~P6(x4514,x4512,x4513)
% 0.76/1.05 [452]~P28(x4523)+~P4(x4521,x4524,x4523)+P4(x4521,x4522,x4523)+~P6(x4524,x4522,x4523)
% 0.76/1.05 [453]~P28(x4533)+~P4(x4534,x4532,x4533)+P4(x4531,x4532,x4533)+~P6(x4531,x4534,x4533)
% 0.76/1.05 [454]~P28(x4543)+~P4(x4541,x4544,x4543)+P4(x4541,x4542,x4543)+~P4(x4544,x4542,x4543)
% 0.76/1.05 [455]~P31(x4553)+~P4(x4551,x4554,x4553)+P4(x4551,x4552,x4553)+~P6(x4554,x4552,x4553)
% 0.76/1.05 [456]~P31(x4563)+~P4(x4564,x4562,x4563)+P4(x4561,x4562,x4563)+~P6(x4561,x4564,x4563)
% 0.76/1.05 [457]~P31(x4573)+~P4(x4571,x4574,x4573)+P4(x4571,x4572,x4573)+~P4(x4574,x4572,x4573)
% 0.76/1.05 [417]~P34(x4174)+~P10(x4174)+E(x4171,x4172)+~E(f17(x4173,x4171,x4174),f17(x4173,x4172,x4174))
% 0.76/1.05 [539]~P12(x5394)+~P6(x5391,x5393,x5394)+~P6(x5391,x5392,x5394)+P6(x5391,f18(x5392,x5393,x5394),x5394)
% 0.76/1.05 [542]~P16(x5423)+~P6(x5422,x5424,x5423)+~P6(x5421,x5424,x5423)+P6(f19(x5421,x5422,x5423),x5424,x5423)
% 0.76/1.05 [543]~P33(x5434)+~P4(x5431,x5433,x5434)+~P4(f14(x5434),x5432,x5434)+P4(x5431,f17(x5432,x5433,x5434),x5434)
% 0.76/1.05 [573]E(x5731,x5732)+~E(f26(x5733,x5731,x5734),f26(x5733,x5732,x5734))+P36(f29(x5733,x5731,x5734))+P36(f29(x5733,x5732,x5734))
% 0.76/1.05 [627]~P29(x6273)+~P6(x6272,x6274,x6273)+~P6(x6271,x6272,x6273)+E(f19(f23(x6271,x6272,x6273),f25(x6272,x6274,x6273),f33(x6273,a2)),f23(x6271,x6274,x6273))
% 0.76/1.05 [628]~P29(x6283)+~P6(x6281,x6282,x6283)+~P4(x6282,x6284,x6283)+E(f19(f23(x6281,x6282,x6283),f24(x6282,x6284,x6283),f33(x6283,a2)),f22(x6281,x6284,x6283))
% 0.76/1.05 [629]~P29(x6293)+~P6(x6292,x6294,x6293)+~P6(x6291,x6292,x6293)+E(f19(f25(x6291,x6292,x6293),f25(x6292,x6294,x6293),f33(x6293,a2)),f25(x6291,x6294,x6293))
% 0.76/1.05 [630]~P29(x6303)+~P6(x6301,x6302,x6303)+~P4(x6302,x6304,x6303)+E(f19(f25(x6301,x6302,x6303),f24(x6302,x6304,x6303),f33(x6303,a2)),f24(x6301,x6304,x6303))
% 0.76/1.05 [631]~P29(x6313)+~P6(x6312,x6314,x6313)+~P6(x6311,x6312,x6313)+E(f19(f22(x6311,x6312,x6313),f23(x6312,x6314,x6313),f33(x6313,a2)),f23(x6311,x6314,x6313))
% 0.76/1.05 [632]~P29(x6323)+~P6(x6322,x6324,x6323)+~P6(x6321,x6322,x6323)+E(f19(f22(x6321,x6322,x6323),f22(x6322,x6324,x6323),f33(x6323,a2)),f22(x6321,x6324,x6323))
% 0.76/1.05 [633]~P29(x6333)+~P6(x6332,x6334,x6333)+~P4(x6331,x6332,x6333)+E(f19(f24(x6331,x6332,x6333),f23(x6332,x6334,x6333),f33(x6333,a2)),f25(x6331,x6334,x6333))
% 0.76/1.05 [634]~P29(x6343)+~P6(x6342,x6344,x6343)+~P4(x6341,x6342,x6343)+E(f19(f24(x6341,x6342,x6343),f22(x6342,x6344,x6343),f33(x6343,a2)),f24(x6341,x6344,x6343))
% 0.76/1.05 [498]~P25(x4983)+~P6(x4985,x4984,x4983)+P6(x4981,x4982,x4983)+~E(f15(x4984,x4985,x4983),f15(x4982,x4981,x4983))
% 0.76/1.05 [499]~P25(x4993)+~P6(x4995,x4994,x4993)+P6(x4991,x4992,x4993)+~E(f15(x4992,x4991,x4993),f15(x4994,x4995,x4993))
% 0.76/1.05 [500]~P25(x5003)+~P4(x5004,x5005,x5003)+P4(x5001,x5002,x5003)+~E(f15(x5004,x5005,x5003),f15(x5001,x5002,x5003))
% 0.76/1.05 [501]~P25(x5013)+~P4(x5014,x5015,x5013)+P4(x5011,x5012,x5013)+~E(f15(x5011,x5012,x5013),f15(x5014,x5015,x5013))
% 0.76/1.05 [603]~P13(x6033)+~P6(x6032,x6035,x6033)+~P6(x6031,x6034,x6033)+P6(f17(x6031,x6032,x6033),f17(x6034,x6035,x6033),x6033)
% 0.76/1.05 [604]~P27(x6043)+~P6(x6042,x6045,x6043)+~P4(x6041,x6044,x6043)+P4(f17(x6041,x6042,x6043),f17(x6044,x6045,x6043),x6043)
% 0.76/1.05 [605]~P27(x6053)+~P6(x6051,x6054,x6053)+~P4(x6052,x6055,x6053)+P4(f17(x6051,x6052,x6053),f17(x6054,x6055,x6053),x6053)
% 0.76/1.05 [606]~P27(x6063)+~P4(x6062,x6065,x6063)+~P4(x6061,x6064,x6063)+P4(f17(x6061,x6062,x6063),f17(x6064,x6065,x6063),x6063)
% 0.76/1.05 [608]~P28(x6083)+~P6(x6084,x6081,x6083)+~P6(x6082,x6085,x6083)+P6(f23(x6081,x6082,x6083),f23(x6084,x6085,x6083),f33(x6083,a2))
% 0.76/1.05 [625]~P25(x6254)+~P6(x6255,x6253,x6254)+~P6(x6251,f17(x6252,x6255,x6254),x6254)+P6(x6251,f17(x6252,x6253,x6254),x6254)
% 0.76/1.05 [645]~P29(x6453)+P6(x6451,x6452,x6453)+P6(x6454,x6452,x6453)+~P6(f22(x6452,x6451,x6453),f22(x6454,x6455,x6453),f33(x6453,a2))
% 0.76/1.05 [646]~P29(x6463)+P6(x6461,x6462,x6463)+P6(x6461,x6464,x6463)+~P6(f22(x6462,x6461,x6463),f22(x6465,x6464,x6463),f33(x6463,a2))
% 0.76/1.05 [656]~P28(x6563)+P6(x6561,x6562,x6563)+~P6(x6564,x6561,x6563)+~P6(f23(x6564,x6561,x6563),f23(x6565,x6562,x6563),f33(x6563,a2))
% 0.76/1.05 [657]~P28(x6573)+P6(x6571,x6572,x6573)+~P6(x6572,x6574,x6573)+~P6(f23(x6572,x6574,x6573),f23(x6571,x6575,x6573),f33(x6573,a2))
% 0.76/1.05 [713]~P14(x7135)+~P7(x7134)+P6(x7132,f21(x7132,x7133,x7131,x7136,x7134,x7135),x7134)+E(f11(x7131,f22(x7132,x7133,x7134),x7134,x7135),f11(x7136,f22(x7132,x7133,x7134),x7134,x7135))
% 0.76/1.05 [714]~P14(x7145)+~P7(x7144)+P4(f21(x7142,x7143,x7141,x7146,x7144,x7145),x7143,x7144)+E(f11(x7141,f22(x7142,x7143,x7144),x7144,x7145),f11(x7146,f22(x7142,x7143,x7144),x7144,x7145))
% 0.76/1.05 [715]~P14(x7155)+~P7(x7154)+~E(f31(x7151,f21(x7152,x7153,x7151,x7156,x7154,x7155)),f31(x7156,f21(x7152,x7153,x7151,x7156,x7154,x7155)))+E(f11(x7151,f22(x7152,x7153,x7154),x7154,x7155),f11(x7156,f22(x7152,x7153,x7154),x7154,x7155))
% 0.76/1.05 [486]~P1(x4862)+~P6(f14(x4862),x4861,x4862)+~P6(f14(x4862),x4863,x4862)+~E(f17(x4863,x4861,x4862),f14(x4862))+E(x4861,f14(x4862))
% 0.76/1.05 [487]~P1(x4872)+~P6(f14(x4872),x4873,x4872)+~P6(f14(x4872),x4871,x4872)+~E(f17(x4871,x4873,x4872),f14(x4872))+E(x4871,f14(x4872))
% 0.76/1.05 [546]~P26(x5464)+~P14(x5464)+~P6(x5461,x5463,x5464)+~P6(f14(x5464),x5462,x5464)+P6(x5461,f17(x5462,x5463,x5464),x5464)
% 0.76/1.05 [547]~P26(x5474)+~P14(x5474)+~P6(x5471,x5472,x5474)+~P6(f14(x5474),x5473,x5474)+P6(x5471,f17(x5472,x5473,x5474),x5474)
% 0.76/1.05 [548]~P26(x5484)+~P14(x5484)+~P6(x5481,x5483,x5484)+~P4(f14(x5484),x5482,x5484)+P4(x5481,f17(x5482,x5483,x5484),x5484)
% 0.76/1.05 [549]~P26(x5494)+~P14(x5494)+~P4(x5491,x5493,x5494)+~P6(f14(x5494),x5492,x5494)+P4(x5491,f17(x5492,x5493,x5494),x5494)
% 0.76/1.05 %EqnAxiom
% 0.76/1.05 [1]E(x11,x11)
% 0.76/1.05 [2]E(x22,x21)+~E(x21,x22)
% 0.76/1.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/1.05 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.76/1.05 [5]~E(x51,x52)+E(f31(x51,x53),f31(x52,x53))
% 0.76/1.05 [6]~E(x61,x62)+E(f31(x63,x61),f31(x63,x62))
% 0.76/1.05 [7]~E(x71,x72)+E(f33(x71,x73),f33(x72,x73))
% 0.76/1.05 [8]~E(x81,x82)+E(f33(x83,x81),f33(x83,x82))
% 0.76/1.05 [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 0.76/1.05 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 0.76/1.05 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 0.76/1.05 [12]~E(x121,x122)+E(f14(x121),f14(x122))
% 0.76/1.05 [13]~E(x131,x132)+E(f17(x131,x133,x134),f17(x132,x133,x134))
% 0.76/1.05 [14]~E(x141,x142)+E(f17(x143,x141,x144),f17(x143,x142,x144))
% 0.76/1.05 [15]~E(x151,x152)+E(f17(x153,x154,x151),f17(x153,x154,x152))
% 0.76/1.05 [16]~E(x161,x162)+E(f18(x161,x163,x164),f18(x162,x163,x164))
% 0.76/1.05 [17]~E(x171,x172)+E(f18(x173,x171,x174),f18(x173,x172,x174))
% 0.76/1.05 [18]~E(x181,x182)+E(f18(x183,x184,x181),f18(x183,x184,x182))
% 0.76/1.05 [19]~E(x191,x192)+E(f19(x191,x193,x194),f19(x192,x193,x194))
% 0.76/1.05 [20]~E(x201,x202)+E(f19(x203,x201,x204),f19(x203,x202,x204))
% 0.76/1.05 [21]~E(x211,x212)+E(f19(x213,x214,x211),f19(x213,x214,x212))
% 0.76/1.05 [22]~E(x221,x222)+E(f26(x221,x223,x224),f26(x222,x223,x224))
% 0.76/1.05 [23]~E(x231,x232)+E(f26(x233,x231,x234),f26(x233,x232,x234))
% 0.76/1.05 [24]~E(x241,x242)+E(f26(x243,x244,x241),f26(x243,x244,x242))
% 0.76/1.05 [25]~E(x251,x252)+E(f15(x251,x253,x254),f15(x252,x253,x254))
% 0.76/1.05 [26]~E(x261,x262)+E(f15(x263,x261,x264),f15(x263,x262,x264))
% 0.76/1.05 [27]~E(x271,x272)+E(f15(x273,x274,x271),f15(x273,x274,x272))
% 0.76/1.05 [28]~E(x281,x282)+E(f29(x281,x283,x284),f29(x282,x283,x284))
% 0.76/1.05 [29]~E(x291,x292)+E(f29(x293,x291,x294),f29(x293,x292,x294))
% 0.76/1.05 [30]~E(x301,x302)+E(f29(x303,x304,x301),f29(x303,x304,x302))
% 0.76/1.05 [31]~E(x311,x312)+E(f21(x311,x313,x314,x315,x316,x317),f21(x312,x313,x314,x315,x316,x317))
% 0.76/1.05 [32]~E(x321,x322)+E(f21(x323,x321,x324,x325,x326,x327),f21(x323,x322,x324,x325,x326,x327))
% 0.76/1.05 [33]~E(x331,x332)+E(f21(x333,x334,x331,x335,x336,x337),f21(x333,x334,x332,x335,x336,x337))
% 0.76/1.05 [34]~E(x341,x342)+E(f21(x343,x344,x345,x341,x346,x347),f21(x343,x344,x345,x342,x346,x347))
% 0.76/1.05 [35]~E(x351,x352)+E(f21(x353,x354,x355,x356,x351,x357),f21(x353,x354,x355,x356,x352,x357))
% 0.76/1.05 [36]~E(x361,x362)+E(f21(x363,x364,x365,x366,x367,x361),f21(x363,x364,x365,x366,x367,x362))
% 0.76/1.05 [37]~E(x371,x372)+E(f8(x371,x373,x374,x375),f8(x372,x373,x374,x375))
% 0.76/1.05 [38]~E(x381,x382)+E(f8(x383,x381,x384,x385),f8(x383,x382,x384,x385))
% 0.76/1.05 [39]~E(x391,x392)+E(f8(x393,x394,x391,x395),f8(x393,x394,x392,x395))
% 0.76/1.05 [40]~E(x401,x402)+E(f8(x403,x404,x405,x401),f8(x403,x404,x405,x402))
% 0.76/1.05 [41]~E(x411,x412)+E(f24(x411,x413,x414),f24(x412,x413,x414))
% 0.76/1.05 [42]~E(x421,x422)+E(f24(x423,x421,x424),f24(x423,x422,x424))
% 0.76/1.05 [43]~E(x431,x432)+E(f24(x433,x434,x431),f24(x433,x434,x432))
% 0.76/1.05 [44]~E(x441,x442)+E(f11(x441,x443,x444,x445),f11(x442,x443,x444,x445))
% 0.76/1.05 [45]~E(x451,x452)+E(f11(x453,x451,x454,x455),f11(x453,x452,x454,x455))
% 0.76/1.05 [46]~E(x461,x462)+E(f11(x463,x464,x461,x465),f11(x463,x464,x462,x465))
% 0.76/1.05 [47]~E(x471,x472)+E(f11(x473,x474,x475,x471),f11(x473,x474,x475,x472))
% 0.76/1.05 [48]~E(x481,x482)+E(f23(x481,x483,x484),f23(x482,x483,x484))
% 0.76/1.05 [49]~E(x491,x492)+E(f23(x493,x491,x494),f23(x493,x492,x494))
% 0.76/1.05 [50]~E(x501,x502)+E(f23(x503,x504,x501),f23(x503,x504,x502))
% 0.76/1.05 [51]~E(x511,x512)+E(f22(x511,x513,x514),f22(x512,x513,x514))
% 0.76/1.05 [52]~E(x521,x522)+E(f22(x523,x521,x524),f22(x523,x522,x524))
% 0.76/1.05 [53]~E(x531,x532)+E(f22(x533,x534,x531),f22(x533,x534,x532))
% 0.76/1.05 [54]~E(x541,x542)+E(f28(x541,x543,x544,x545),f28(x542,x543,x544,x545))
% 0.76/1.05 [55]~E(x551,x552)+E(f28(x553,x551,x554,x555),f28(x553,x552,x554,x555))
% 0.76/1.05 [56]~E(x561,x562)+E(f28(x563,x564,x561,x565),f28(x563,x564,x562,x565))
% 0.76/1.05 [57]~E(x571,x572)+E(f28(x573,x574,x575,x571),f28(x573,x574,x575,x572))
% 0.76/1.05 [58]~E(x581,x582)+E(f20(x581,x583),f20(x582,x583))
% 0.76/1.05 [59]~E(x591,x592)+E(f20(x593,x591),f20(x593,x592))
% 0.76/1.05 [60]~E(x601,x602)+E(f27(x601,x603),f27(x602,x603))
% 0.76/1.05 [61]~E(x611,x612)+E(f27(x613,x611),f27(x613,x612))
% 0.76/1.05 [62]~E(x621,x622)+E(f25(x621,x623,x624),f25(x622,x623,x624))
% 0.76/1.05 [63]~E(x631,x632)+E(f25(x633,x631,x634),f25(x633,x632,x634))
% 0.76/1.05 [64]~E(x641,x642)+E(f25(x643,x644,x641),f25(x643,x644,x642))
% 0.76/1.05 [65]~E(x651,x652)+E(f12(x651,x653),f12(x652,x653))
% 0.76/1.05 [66]~E(x661,x662)+E(f12(x663,x661),f12(x663,x662))
% 0.76/1.05 [67]~E(x671,x672)+E(f9(x671,x673),f9(x672,x673))
% 0.76/1.05 [68]~E(x681,x682)+E(f9(x683,x681),f9(x683,x682))
% 0.76/1.05 [69]~E(x691,x692)+E(f10(x691,x693),f10(x692,x693))
% 0.76/1.05 [70]~E(x701,x702)+E(f10(x703,x701),f10(x703,x702))
% 0.76/1.05 [71]~E(x711,x712)+E(f30(x711,x713),f30(x712,x713))
% 0.76/1.05 [72]~E(x721,x722)+E(f30(x723,x721),f30(x723,x722))
% 0.76/1.05 [73]~E(x731,x732)+E(f7(x731,x733,x734),f7(x732,x733,x734))
% 0.76/1.05 [74]~E(x741,x742)+E(f7(x743,x741,x744),f7(x743,x742,x744))
% 0.76/1.05 [75]~E(x751,x752)+E(f7(x753,x754,x751),f7(x753,x754,x752))
% 0.76/1.05 [76]~E(x761,x762)+E(f16(x761,x763),f16(x762,x763))
% 0.76/1.05 [77]~E(x771,x772)+E(f16(x773,x771),f16(x773,x772))
% 0.76/1.05 [78]~E(x781,x782)+E(f13(x781,x783),f13(x782,x783))
% 0.76/1.05 [79]~E(x791,x792)+E(f13(x793,x791),f13(x793,x792))
% 0.76/1.05 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 0.76/1.05 [81]~P2(x811)+P2(x812)+~E(x811,x812)
% 0.76/1.05 [82]P5(x822,x823,x824,x825,x826,x827,x828,x829,x8210)+~E(x821,x822)+~P5(x821,x823,x824,x825,x826,x827,x828,x829,x8210)
% 0.76/1.05 [83]P5(x833,x832,x834,x835,x836,x837,x838,x839,x8310)+~E(x831,x832)+~P5(x833,x831,x834,x835,x836,x837,x838,x839,x8310)
% 0.76/1.05 [84]P5(x843,x844,x842,x845,x846,x847,x848,x849,x8410)+~E(x841,x842)+~P5(x843,x844,x841,x845,x846,x847,x848,x849,x8410)
% 0.76/1.05 [85]P5(x853,x854,x855,x852,x856,x857,x858,x859,x8510)+~E(x851,x852)+~P5(x853,x854,x855,x851,x856,x857,x858,x859,x8510)
% 0.76/1.05 [86]P5(x863,x864,x865,x866,x862,x867,x868,x869,x8610)+~E(x861,x862)+~P5(x863,x864,x865,x866,x861,x867,x868,x869,x8610)
% 0.76/1.05 [87]P5(x873,x874,x875,x876,x877,x872,x878,x879,x8710)+~E(x871,x872)+~P5(x873,x874,x875,x876,x877,x871,x878,x879,x8710)
% 0.76/1.05 [88]P5(x883,x884,x885,x886,x887,x888,x882,x889,x8810)+~E(x881,x882)+~P5(x883,x884,x885,x886,x887,x888,x881,x889,x8810)
% 0.76/1.05 [89]P5(x893,x894,x895,x896,x897,x898,x899,x892,x8910)+~E(x891,x892)+~P5(x893,x894,x895,x896,x897,x898,x899,x891,x8910)
% 0.76/1.05 [90]P5(x903,x904,x905,x906,x907,x908,x909,x9010,x902)+~E(x901,x902)+~P5(x903,x904,x905,x906,x907,x908,x909,x9010,x901)
% 0.76/1.05 [91]~P12(x911)+P12(x912)+~E(x911,x912)
% 0.76/1.05 [92]P6(x922,x923,x924)+~E(x921,x922)+~P6(x921,x923,x924)
% 0.76/1.05 [93]P6(x933,x932,x934)+~E(x931,x932)+~P6(x933,x931,x934)
% 0.76/1.05 [94]P6(x943,x944,x942)+~E(x941,x942)+~P6(x943,x944,x941)
% 0.76/1.05 [95]~P28(x951)+P28(x952)+~E(x951,x952)
% 0.76/1.05 [96]~P27(x961)+P27(x962)+~E(x961,x962)
% 0.76/1.05 [97]~P29(x971)+P29(x972)+~E(x971,x972)
% 0.76/1.05 [98]~P13(x981)+P13(x982)+~E(x981,x982)
% 0.76/1.05 [99]~P26(x991)+P26(x992)+~E(x991,x992)
% 0.76/1.05 [100]~P14(x1001)+P14(x1002)+~E(x1001,x1002)
% 0.76/1.05 [101]~P36(x1011)+P36(x1012)+~E(x1011,x1012)
% 0.76/1.05 [102]~P3(x1021)+P3(x1022)+~E(x1021,x1022)
% 0.76/1.05 [103]~P31(x1031)+P31(x1032)+~E(x1031,x1032)
% 0.76/1.05 [104]~P16(x1041)+P16(x1042)+~E(x1041,x1042)
% 0.76/1.05 [105]~P32(x1051)+P32(x1052)+~E(x1051,x1052)
% 0.76/1.05 [106]~P15(x1061)+P15(x1062)+~E(x1061,x1062)
% 0.76/1.05 [107]~P20(x1071)+P20(x1072)+~E(x1071,x1072)
% 0.76/1.05 [108]~P33(x1081)+P33(x1082)+~E(x1081,x1082)
% 0.76/1.05 [109]~P7(x1091)+P7(x1092)+~E(x1091,x1092)
% 0.76/1.05 [110]P4(x1102,x1103,x1104)+~E(x1101,x1102)+~P4(x1101,x1103,x1104)
% 0.76/1.05 [111]P4(x1113,x1112,x1114)+~E(x1111,x1112)+~P4(x1113,x1111,x1114)
% 0.76/1.05 [112]P4(x1123,x1124,x1122)+~E(x1121,x1122)+~P4(x1123,x1124,x1121)
% 0.76/1.05 [113]~P9(x1131)+P9(x1132)+~E(x1131,x1132)
% 0.76/1.05 [114]~P30(x1141)+P30(x1142)+~E(x1141,x1142)
% 0.76/1.05 [115]~P25(x1151)+P25(x1152)+~E(x1151,x1152)
% 0.76/1.05 [116]~P22(x1161)+P22(x1162)+~E(x1161,x1162)
% 0.76/1.05 [117]~P8(x1171)+P8(x1172)+~E(x1171,x1172)
% 0.76/1.05 [118]~P17(x1181)+P17(x1182)+~E(x1181,x1182)
% 0.76/1.05 [119]~P18(x1191)+P18(x1192)+~E(x1191,x1192)
% 0.76/1.05 [120]~P19(x1201)+P19(x1202)+~E(x1201,x1202)
% 0.76/1.05 [121]~P21(x1211)+P21(x1212)+~E(x1211,x1212)
% 0.76/1.05 [122]~P23(x1221)+P23(x1222)+~E(x1221,x1222)
% 0.76/1.05 [123]~P11(x1231)+P11(x1232)+~E(x1231,x1232)
% 0.76/1.05 [124]~P35(x1241)+P35(x1242)+~E(x1241,x1242)
% 0.76/1.05 [125]~P24(x1251)+P24(x1252)+~E(x1251,x1252)
% 0.76/1.05 [126]~P34(x1261)+P34(x1262)+~E(x1261,x1262)
% 0.76/1.05 [127]~P10(x1271)+P10(x1272)+~E(x1271,x1272)
% 0.76/1.05
% 0.76/1.05 %-------------------------------------------
% 0.76/1.06 cnf(733,plain,
% 0.76/1.06 (~P4(x7331,x7331,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(736,plain,
% 0.76/1.06 (E(f18(x7361,x7361,f33(x7362,a2)),x7361)),
% 0.76/1.06 inference(rename_variables,[],[171])).
% 0.76/1.06 cnf(742,plain,
% 0.76/1.06 (~E(f4(x7421),x7421)),
% 0.76/1.06 inference(rename_variables,[],[255])).
% 0.76/1.06 cnf(745,plain,
% 0.76/1.06 (P6(x7451,f26(x7452,x7451,x7453),f33(x7453,a2))),
% 0.76/1.06 inference(rename_variables,[],[188])).
% 0.76/1.06 cnf(748,plain,
% 0.76/1.06 (P6(x7481,f26(x7482,x7481,x7483),f33(x7483,a2))),
% 0.76/1.06 inference(rename_variables,[],[188])).
% 0.76/1.06 cnf(751,plain,
% 0.76/1.06 (P6(f15(x7511,x7512,f33(x7513,a2)),x7511,f33(x7513,a2))),
% 0.76/1.06 inference(rename_variables,[],[198])).
% 0.76/1.06 cnf(754,plain,
% 0.76/1.06 (P6(f15(x7541,x7542,f33(x7543,a2)),x7541,f33(x7543,a2))),
% 0.76/1.06 inference(rename_variables,[],[198])).
% 0.76/1.06 cnf(757,plain,
% 0.76/1.06 (P6(x7571,f26(x7572,x7571,x7573),f33(x7573,a2))),
% 0.76/1.06 inference(rename_variables,[],[188])).
% 0.76/1.06 cnf(771,plain,
% 0.76/1.06 (~P36(f31(f5(f33(x7711,a2)),x7712))),
% 0.76/1.06 inference(rename_variables,[],[267])).
% 0.76/1.06 cnf(774,plain,
% 0.76/1.06 (P36(f31(f26(x7741,x7742,x7743),x7741))),
% 0.76/1.06 inference(rename_variables,[],[201])).
% 0.76/1.06 cnf(787,plain,
% 0.76/1.06 (~P36(f29(x7871,f5(f33(x7872,a2)),x7872))),
% 0.76/1.06 inference(rename_variables,[],[270])).
% 0.76/1.06 cnf(790,plain,
% 0.76/1.06 (P6(x7901,x7901,f33(x7902,a2))),
% 0.76/1.06 inference(rename_variables,[],[170])).
% 0.76/1.06 cnf(793,plain,
% 0.76/1.06 (P6(x7931,x7931,f33(x7932,a2))),
% 0.76/1.06 inference(rename_variables,[],[170])).
% 0.76/1.06 cnf(800,plain,
% 0.76/1.06 (~P4(x8001,x8001,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(802,plain,
% 0.76/1.06 (~P4(x8021,x8021,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(813,plain,
% 0.76/1.06 (P6(x8131,x8131,f33(x8132,a2))),
% 0.76/1.06 inference(rename_variables,[],[170])).
% 0.76/1.06 cnf(817,plain,
% 0.76/1.06 (~E(f4(x8171),x8171)),
% 0.76/1.06 inference(rename_variables,[],[255])).
% 0.76/1.06 cnf(825,plain,
% 0.76/1.06 (~P4(x8251,x8251,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(831,plain,
% 0.76/1.06 (~P4(x8311,x8311,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(834,plain,
% 0.76/1.06 (~P4(x8341,x8341,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(837,plain,
% 0.76/1.06 (~P4(x8371,x8371,a1)),
% 0.76/1.06 inference(rename_variables,[],[261])).
% 0.76/1.06 cnf(859,plain,
% 0.76/1.06 (P36(f29(x8591,f26(x8591,x8592,x8593),x8593))),
% 0.76/1.06 inference(rename_variables,[],[211])).
% 0.76/1.06 cnf(862,plain,
% 0.76/1.06 (P36(f29(x8621,f26(x8621,x8622,x8623),x8623))),
% 0.76/1.06 inference(rename_variables,[],[211])).
% 0.76/1.06 cnf(865,plain,
% 0.76/1.06 (~E(f4(x8651),x8651)),
% 0.76/1.06 inference(rename_variables,[],[255])).
% 0.76/1.06 cnf(871,plain,
% 0.76/1.06 (P36(f29(x8711,f28(x8712,f26(f31(x8712,x8711),f5(f33(x8713,a2)),x8713),x8714,x8713),x8714))),
% 0.76/1.06 inference(rename_variables,[],[253])).
% 0.76/1.06 cnf(874,plain,
% 0.76/1.06 (P6(x8741,x8741,f33(x8742,a2))),
% 0.76/1.06 inference(rename_variables,[],[170])).
% 0.76/1.06 cnf(877,plain,
% 0.76/1.06 (P36(f29(x8771,f26(x8771,x8772,x8773),x8773))),
% 0.76/1.06 inference(rename_variables,[],[211])).
% 0.76/1.06 cnf(883,plain,
% 0.76/1.06 ($false),
% 0.76/1.06 inference(scs_inference,[],[261,733,800,802,825,831,834,837,129,131,132,133,135,140,141,142,147,149,150,153,157,158,159,162,263,165,272,170,790,793,813,874,255,742,817,865,164,188,745,748,757,171,736,211,859,862,877,201,774,196,198,751,754,176,266,270,787,267,771,241,202,253,871,246,243,2,318,356,348,314,45,668,445,602,601,600,599,566,488,430,427,420,381,707,692,679,580,574,444,460,711,653,652,123,117,114,113,111,110,109,104,103,102,101,95,93,92,91,81,3,407,405,338,443,462,472,471,468,467,408,422,474,669,581,476,475,322,321,579,696,616,626,638]),
% 0.76/1.06 ['proof']).
% 0.76/1.06 % SZS output end Proof
% 0.76/1.06 % Total time :0.190000s
%------------------------------------------------------------------------------