TSTP Solution File: LCL848-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL848-1 : 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 : n029.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 06:51:21 EDT 2023
% Result : Unsatisfiable 0.80s 0.91s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL848-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n029.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 04:50:08 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.71/0.86 %-------------------------------------------
% 0.71/0.86 % File :CSE---1.6
% 0.71/0.86 % Problem :theBenchmark
% 0.71/0.86 % Transform :cnf
% 0.71/0.86 % Format :tptp:raw
% 0.71/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.86
% 0.71/0.86 % Result :Theorem 0.040000s
% 0.71/0.86 % Output :CNFRefutation 0.040000s
% 0.71/0.86 %-------------------------------------------
% 0.71/0.87 %------------------------------------------------------------------------------
% 0.71/0.87 % File : LCL848-1 : TPTP v8.1.2. Released v4.1.0.
% 0.71/0.87 % Domain : Logic Calculi
% 0.71/0.87 % Problem : Strong normalization of typed lambda calculus 264_38
% 0.71/0.87 % Version : Especial.
% 0.71/0.87 % English :
% 0.71/0.87
% 0.71/0.87 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.71/0.87 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.71/0.87 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.71/0.87 % Source : [Nip10]
% 0.71/0.87 % Names : StrongNorm-264_38 [Nip10]
% 0.71/0.87
% 0.71/0.87 % Status : Unsatisfiable
% 0.71/0.87 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 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, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.40 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0
% 0.71/0.87 % Syntax : Number of clauses : 723 ( 243 unt; 91 nHn; 413 RR)
% 0.71/0.87 % Number of literals : 1546 ( 523 equ; 770 neg)
% 0.71/0.87 % Maximal clause size : 6 ( 2 avg)
% 0.71/0.87 % Maximal term depth : 6 ( 1 avg)
% 0.71/0.87 % Number of predicates : 44 ( 43 usr; 0 prp; 1-4 aty)
% 0.71/0.87 % Number of functors : 54 ( 54 usr; 12 con; 0-5 aty)
% 0.71/0.87 % Number of variables : 2027 ( 257 sgn)
% 0.71/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.71/0.87
% 0.71/0.87 % Comments :
% 0.71/0.87 %------------------------------------------------------------------------------
% 0.71/0.87 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.71/0.87 ( V_n = V_m
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_le__add__right__mono_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.87 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.71/0.87 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__less__le__trans_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.87 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__le__less__trans_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.71/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__eq__refl_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.87 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__eq__iff_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.87 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_eq__imp__le_0,axiom,
% 0.71/0.87 c_lessequals(V_x,V_x,tc_nat) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_le__trans_0,axiom,
% 0.71/0.87 ( c_lessequals(V_i,V_k,tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_le__refl_0,axiom,
% 0.71/0.87 c_lessequals(V_n,V_n,tc_nat) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__trans_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.87 | c_lessequals(V_x,V_z,T_a)
% 0.71/0.87 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_xt1_I8_J_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.71/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_xt1_I7_J_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.87 | ~ c_lessequals(V_z,V_y,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_xt1_I6_J_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.87 | c_lessequals(V_z,V_x,T_a)
% 0.71/0.87 | ~ c_lessequals(V_z,V_y,T_a)
% 0.71/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_n__not__Suc__n_0,axiom,
% 0.71/0.87 V_n != c_Suc(V_n) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_Suc__n__not__n_0,axiom,
% 0.71/0.87 c_Suc(V_n) != V_n ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_of__nat__diff_0,axiom,
% 0.71/0.87 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.71/0.87 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.71/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_less__diff__iff_1,axiom,
% 0.71/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_less__diff__iff_0,axiom,
% 0.71/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.71/0.87 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_le__SucI_0,axiom,
% 0.71/0.87 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.71/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_Suc__leD_0,axiom,
% 0.71/0.87 ( c_lessequals(V_m,V_n,tc_nat)
% 0.71/0.87 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.71/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.87 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.87 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__left__mono_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__right__mono_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__le__cancel__left_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.87 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__le__cancel__left_1,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__le__cancel__right_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.87 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_add__le__cancel__right_1,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_less__trans__Suc_0,axiom,
% 0.71/0.87 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_less__Suc__eq_2,axiom,
% 0.71/0.87 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_lessI_0,axiom,
% 0.71/0.87 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_power__gt1_0,axiom,
% 0.71/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__less__imp__le_0,axiom,
% 0.71/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.87 | c_lessequals(V_x,V_y,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_order__le__less_1,axiom,
% 0.71/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.87 | c_lessequals(V_x,V_y,T_a)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_nat__less__le_0,axiom,
% 0.71/0.87 ( c_lessequals(V_m,V_n,tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.71/0.87 ( c_lessequals(V_x,V_y,tc_nat)
% 0.71/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.71/0.87
% 0.71/0.87 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.71/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.87 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.87
% 0.71/0.88 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__antisym__conv_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__antisym_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__eq__iff_2,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__antisym_0,axiom,
% 0.71/0.88 ( V_m = V_n
% 0.71/0.88 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_set__rev_0,axiom,
% 0.71/0.88 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_not__one__le__zero_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__le__not__le_2,axiom,
% 0.71/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__imp__diff__less_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_zero__le__one_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.71/0.88 ( V_n = V_m
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__antisym_0,axiom,
% 0.71/0.88 ( V_m = V_n
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__SucE_0,axiom,
% 0.71/0.88 ( V_m = V_n
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.71/0.88 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_nat_Oinject_0,axiom,
% 0.71/0.88 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.71/0.88 | V_nat = V_nat_H ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__inject_0,axiom,
% 0.71/0.88 ( c_Suc(V_x) != c_Suc(V_y)
% 0.71/0.88 | V_x = V_y ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__less__mono2_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__diff__le_0,axiom,
% 0.71/0.88 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.71/0.88 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_power__decreasing_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.88 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.71/0.88 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.71/0.88 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__le__eq_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__leI_0,axiom,
% 0.71/0.88 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_one__le__power_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__is__0__eq_1,axiom,
% 0.71/0.88 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__is__0__eq_0,axiom,
% 0.71/0.88 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.71/0.88 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_of__nat__le__iff_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_of__nat__le__iff_1,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__add__cancel_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.71/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_append__step1I_1,axiom,
% 0.71/0.88 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)
% 0.71/0.88 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_append__step1I_0,axiom,
% 0.71/0.88 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.88 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__mono_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.88 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.71/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_list__size__estimation_H_0,axiom,
% 0.71/0.88 ( c_lessequals(V_y,c_List_Olist_Olist__size(V_f,V_xs,T_a),tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_y,hAPP(V_f,V_x),tc_nat)
% 0.71/0.88 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.71/0.88 ( c_lessequals(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.71/0.88 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__less__Suc_0,axiom,
% 0.71/0.88 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_power__one_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.71/0.88 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_not__leE_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_x,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.71/0.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__not__less_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__not__less_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__not__le_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__not__le_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__le__not__le_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_power__increasing_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.71/0.88 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__le__mono2_0,axiom,
% 0.71/0.88 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__le__mono_0,axiom,
% 0.71/0.88 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__lessD_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__SucI_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__pred_0,axiom,
% 0.71/0.88 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__eqI_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.71/0.88 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.71/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__eqI_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.71/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__eqI_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__eqI_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_diff__Suc__less_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_xt1_I11_J_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.71/0.88 | V_a = V_b
% 0.71/0.88 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_xt1_I12_J_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.71/0.88 | ~ c_lessequals(V_b,V_a,T_a)
% 0.71/0.88 | V_a = V_b ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_nat__less__le_2,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | V_m = V_n
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.71/0.88 ( V_m = V_n
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_le__neq__implies__less_0,axiom,
% 0.71/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.88 | V_m = V_n
% 0.71/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__le__less_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__less__le_2,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__le__neq__trans_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.88 | V_a = V_b
% 0.71/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_order__neq__le__trans_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.88 | ~ c_lessequals(V_a,V_b,T_a)
% 0.71/0.88 | V_a = V_b ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | V_x = V_y
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__le__mono_0,axiom,
% 0.71/0.88 ( c_lessequals(V_n,V_m,tc_nat)
% 0.71/0.88 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_Suc__le__mono_1,axiom,
% 0.71/0.88 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.71/0.88 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_nat__le__linear_0,axiom,
% 0.71/0.88 ( c_lessequals(V_n,V_m,tc_nat)
% 0.71/0.88 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_linorder__linear_0,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_power__Suc__less__one_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_sorted__Cons_1,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_lessequals(V_x,V_xa,T_a)
% 0.71/0.88 | ~ c_in(V_xa,c_List_Oset(V_xs,T_a),T_a)
% 0.71/0.88 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_sorted__append_2,axiom,
% 0.71/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.88 | c_lessequals(V_x,V_xa,T_a)
% 0.71/0.88 | ~ c_in(V_xa,c_List_Oset(V_ys,T_a),T_a)
% 0.71/0.88 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.71/0.88 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_length__unique_Osimps_I2_J_1,axiom,
% 0.71/0.88 ( c_List_Olength__unique(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Suc(c_List_Olength__unique(V_xs,T_a))
% 0.71/0.88 | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_not__one__less__zero_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.88 | ~ 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) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.88 | 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)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_zero__less__one_0,axiom,
% 0.71/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__increasing_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.88 | ~ c_lessequals(V_b,V_c,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__increasing2_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.88 | ~ c_lessequals(V_b,V_a,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.71/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.71/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.71/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.88 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.88 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.88
% 0.71/0.88 cnf(cls_add__less__le__mono_0,axiom,
% 0.71/0.88 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.88 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.71/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_add__le__less__mono_0,axiom,
% 0.71/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.71/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.71/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_less__add__one_0,axiom,
% 0.71/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.89 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.71/0.89
% 0.71/0.89 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 0.71/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | ~ class_Int_Onumber(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | ~ class_Int_Onumber(T_a)
% 0.80/0.89 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_set__ConsD_0,axiom,
% 0.80/0.89 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | V_y = V_x
% 0.80/0.89 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.80/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__Suc_0,axiom,
% 0.80/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_less__Suc0_0,axiom,
% 0.80/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_less__Suc0_1,axiom,
% 0.80/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__diff__split_0,axiom,
% 0.80/0.89 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.80/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__diff_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__diff_1,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__less_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__mono_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__le__power_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__0__Suc_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.80/0.89 | ~ class_Power_Opower(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__inject__exp_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.80/0.89 | V_m = V_n ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_map__eq__conv_0,axiom,
% 0.80/0.89 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_g,V_xs,T_b,T_a)
% 0.80/0.89 | hAPP(V_f,V_x) = hAPP(V_g,V_x)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(V_xs,T_b),T_b) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_length__Suc__conv_2,axiom,
% 0.80/0.89 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__length__conv_2,axiom,
% 0.80/0.89 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_impossible__Cons_0,axiom,
% 0.80/0.89 ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__0_0,axiom,
% 0.80/0.89 ( ~ class_Power_Opower(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_hd__append_1,axiom,
% 0.80/0.89 ( c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a)
% 0.80/0.89 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_hd__append_0,axiom,
% 0.80/0.89 c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a) = c_List_Ohd(V_ys,T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__set__takeD_0,axiom,
% 0.80/0.89 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_Otake(V_n,V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__set__dropD_0,axiom,
% 0.80/0.89 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_Odrop(V_n,V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nth__Cons__Suc_0,axiom,
% 0.80/0.89 c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_take__Suc__Cons_0,axiom,
% 0.80/0.89 c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_set__takeWhileD_1,axiom,
% 0.80/0.89 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_set__takeWhileD_0,axiom,
% 0.80/0.89 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_takeWhile__eq__all__conv_0,axiom,
% 0.80/0.89 ( c_List_OtakeWhile(V_P,V_xs,T_a) != V_xs
% 0.80/0.89 | hBOOL(hAPP(V_P,V_x))
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__listsp__conv__set_0,axiom,
% 0.80/0.89 ( hBOOL(hAPP(V_A,V_x))
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__set__replicateD_0,axiom,
% 0.80/0.89 ( V_x = V_y
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_Oreplicate(V_n,V_y,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_rev__nth_0,axiom,
% 0.80/0.89 ( c_List_Onth(c_List_Orev(V_xs,T_a),V_n,T_a) = c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Suc(V_n),tc_nat),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_sorted__equals__nth__mono_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_lessequals(c_List_Onth(V_xs,V_i,T_a),c_List_Onth(V_xs,V_j,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.89 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_sorted__nth__mono_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_lessequals(c_List_Onth(V_xs,V_i,T_a),c_List_Onth(V_xs,V_j,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.80/0.89 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_drop__Suc__Cons_0,axiom,
% 0.80/0.89 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_take__all_0,axiom,
% 0.80/0.89 ( c_List_Otake(V_n,V_xs,T_a) = V_xs
% 0.80/0.89 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_sorted_Osimps_I3_J_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.80/0.89 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_sorted_Osimps_I3_J_2,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a)
% 0.80/0.89 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_length__drop_0,axiom,
% 0.80/0.89 c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_list__update__code_I3_J_0,axiom,
% 0.80/0.89 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_hd__replicate_0,axiom,
% 0.80/0.89 ( c_List_Ohd(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 0.80/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_replicate__Suc_0,axiom,
% 0.80/0.89 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_list__update__beyond_0,axiom,
% 0.80/0.89 ( c_List_Olist__update(V_xs,V_i,V_x,T_a) = V_xs
% 0.80/0.89 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_length__takeWhile__le_0,axiom,
% 0.80/0.89 c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__set__butlastD_0,axiom,
% 0.80/0.89 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_Obutlast(V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_drop__take_0,axiom,
% 0.80/0.89 c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_in__set__sublistD_0,axiom,
% 0.80/0.89 ( c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_in(V_x,c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_notin__set__sublistI_0,axiom,
% 0.80/0.89 ( ~ c_in(V_x,c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),T_a)
% 0.80/0.89 | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_drop__replicate_0,axiom,
% 0.80/0.89 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_insort__key_Osimps_I2_J_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_b)
% 0.80/0.89 | c_List_Olinorder__class_Oinsort__key(V_f,V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a,T_b) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_insort__key_Osimps_I2_J_1,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_b)
% 0.80/0.89 | c_List_Olinorder__class_Oinsort__key(V_f,V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a,T_b) = c_List_Olist_OCons(V_y,c_List_Olinorder__class_Oinsort__key(V_f,V_x,V_ys,T_a,T_b),T_a)
% 0.80/0.89 | c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_length__insert_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_b)
% 0.80/0.89 | c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(V_f,V_x,V_xs,T_a,T_b),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__diff__iff_1,axiom,
% 0.80/0.89 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__diff__iff_0,axiom,
% 0.80/0.89 ( c_lessequals(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_eq__eqI_1,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.80/0.89 | V_xa = V_y ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_eq__eqI_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.80/0.89 | V_x_H = V_y_H ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_eq__diff__iff_0,axiom,
% 0.80/0.89 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.80/0.89 | V_m = V_n ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__Suc_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.80/0.89 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__le__self_0,axiom,
% 0.80/0.89 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.80/0.89 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__commute_0,axiom,
% 0.80/0.89 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__less__mono_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__lessI_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.80/0.89 | c_Suc(V_m) = V_n
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__eq__eq_1,axiom,
% 0.80/0.89 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__eq__eq_0,axiom,
% 0.80/0.89 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.80/0.89 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__diff__diff_0,axiom,
% 0.80/0.89 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__Suc__eq_2,axiom,
% 0.80/0.89 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__diff__cancel_0,axiom,
% 0.80/0.89 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.80/0.89 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__SucE_0,axiom,
% 0.80/0.89 ( V_m = c_Suc(V_n)
% 0.80/0.89 | c_lessequals(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__eq_1,axiom,
% 0.80/0.89 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__eq_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__inject__base_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 0.80/0.89 | V_a = V_b
% 0.80/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_hd__in__set_0,axiom,
% 0.80/0.89 ( c_in(c_List_Ohd(V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.89 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_add__diff__cancel_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__le__imp__le__exp_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__increasing__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(V_x,V_y,tc_nat)
% 0.80/0.89 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__increasing__iff_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.80/0.89 | ~ c_lessequals(V_x,V_y,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__less__eq_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__mono_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_one__neq__zero_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.89 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__self_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__0__right_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_right__minus__eq_1,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__neq__one_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.89 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.89 | V_x = V_y ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_right__minus__eq_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.89 | V_a = V_b ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.89 | V_a = V_b ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__0__eq_1,axiom,
% 0.80/0.89 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.80/0.89 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.80/0.89 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.80/0.89 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | V_m = V_n ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le__0__eq_0,axiom,
% 0.80/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.80/0.89 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__self__eq__0_0,axiom,
% 0.80/0.89 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.80/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.80/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_diff__0__eq__0_0,axiom,
% 0.80/0.89 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_le0_0,axiom,
% 0.80/0.89 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_hd_Osimps_0,axiom,
% 0.80/0.89 c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_x ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.80/0.89 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.80/0.89 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.80/0.89 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.80/0.90 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.80/0.90 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.80/0.90 | V_xs = V_ys
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.80/0.90 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.80/0.90 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.80/0.90 ( V_x = V_y
% 0.80/0.90 | V_xs = V_ys
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.80/0.90 ( V_x = V_y
% 0.80/0.90 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_not__step1__Nil_0,axiom,
% 0.80/0.90 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_not__Nil__step1_0,axiom,
% 0.80/0.90 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__rev__nth__mono_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_lessequals(c_List_Onth(V_xs,V_j,T_a),c_List_Onth(V_xs,V_i,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(c_List_Orev(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__neg__nonpos_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__nonpos__neg_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__strict__increasing_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.90 | ~ c_lessequals(V_b,V_c,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__strict__increasing2_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__nonneg__pos_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__pos__nonneg_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_zero__less__two_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 0.80/0.90 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.80/0.90 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 0.80/0.90 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.80/0.90 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__conv__decomp_1,axiom,
% 0.80/0.90 c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__0__left_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.80/0.90 | ~ class_Power_Opower(T_a)
% 0.80/0.90 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__strict__increasing_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.80/0.90 ( V_ys = V_xs
% 0.80/0.90 | V_y = V_x
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.80/0.90 | V_y = V_x
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.80/0.90 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.80/0.90 ( V_ys = V_xs
% 0.80/0.90 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.80/0.90 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_hd__conv__nth_0,axiom,
% 0.80/0.90 ( c_List_Ohd(V_xs,T_a) = c_List_Onth(V_xs,c_HOL_Ozero__class_Ozero(tc_nat),T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__append1_0,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_OtakeWhile(V_P,V_xs,T_a)
% 0.80/0.90 | hBOOL(hAPP(V_P,V_x))
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_apps__preserves__betas_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.80/0.90 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__eq__Nil_0,axiom,
% 0.80/0.90 ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__all_0,axiom,
% 0.80/0.90 ( c_List_Odrop(V_n,V_xs,T_a) = c_List_Olist_ONil(T_a)
% 0.80/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_2,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) = V_ys_092_060_094isub_0621
% 0.80/0.90 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_take__append_0,axiom,
% 0.80/0.90 c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | V_xs_092_060_094isub_0621 = c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.80/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_1,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | V_xs_092_060_094isub_0622 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_3,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a) = V_ys_092_060_094isub_0622
% 0.80/0.90 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__append_0,axiom,
% 0.80/0.90 c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__butlast__appendI_1,axiom,
% 0.80/0.90 ( c_in(V_x,c_List_Oset(c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a),T_a),T_a)
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(c_List_Obutlast(V_ys,T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__butlast__appendI_0,axiom,
% 0.80/0.90 ( c_in(V_x,c_List_Oset(c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a),T_a),T_a)
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(c_List_Obutlast(V_xs,T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_last__in__set_0,axiom,
% 0.80/0.90 ( c_in(c_List_Olast(V_as,T_a),c_List_Oset(V_as,T_a),T_a)
% 0.80/0.90 | V_as = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__size__estimation_0,axiom,
% 0.80/0.90 ( c_HOL_Oord__class_Oless(V_y,c_List_Olist_Olist__size(V_f,V_xs,T_a),tc_nat)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_y,hAPP(V_f,V_x),tc_nat)
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_5,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | hBOOL(hAPP(V_P,c_List_Onth(V_xs,V_n,T_a)))
% 0.80/0.90 | ~ hBOOL(hAPP(V_P,c_List_Onth(V_xs,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),T_a))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_hd__rev_0,axiom,
% 0.80/0.90 ( c_List_Ohd(c_List_Orev(V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_last__rev_0,axiom,
% 0.80/0.90 ( c_List_Olast(c_List_Orev(V_xs,T_a),T_a) = c_List_Ohd(V_xs,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_length__unique_Osimps_I2_J_0,axiom,
% 0.80/0.90 ( c_List_Olength__unique(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olength__unique(V_xs,T_a)
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_take__hd__drop_0,axiom,
% 0.80/0.90 ( c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Otake(c_Suc(V_n),V_xs,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__insort__key_1,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_Omap(V_f,c_List_Olinorder__class_Oinsort__key(V_f,V_x,V_xs,T_b,T_a),T_b,T_a),T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__insort__key_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_Omap(V_f,V_xs,T_b,T_a),T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(c_List_Omap(V_f,c_List_Olinorder__class_Oinsort__key(V_f,V_x,V_xs,T_b,T_a),T_b,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_length__list__update_0,axiom,
% 0.80/0.90 c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_butlast__append_0,axiom,
% 0.80/0.90 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_last__replicate_0,axiom,
% 0.80/0.90 ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 0.80/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_butlast__drop_0,axiom,
% 0.80/0.90 c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__take__drop__id_0,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__takeWhile_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__right__cancel_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.80/0.90 | V_b = V_c ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__left__cancel_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.80/0.90 | V_b = V_c ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__imp__eq_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.80/0.90 | V_b = V_c ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.80/0.90 | V_y = V_z ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__conv__conj_1,axiom,
% 0.80/0.90 V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__neg__neg_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__nth_0,axiom,
% 0.80/0.90 ( c_List_Onth(c_List_OtakeWhile(V_P,V_xs,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__butlast_0,axiom,
% 0.80/0.90 c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_eq__number__of_0,axiom,
% 0.80/0.90 ( ~ class_Int_Oring__char__0(T_a)
% 0.80/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.90 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 0.80/0.90 | V_x = V_y ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__Var_1,axiom,
% 0.80/0.90 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.80/0.90 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_COMBC__def_0,axiom,
% 0.80/0.90 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_mem__def_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(V_S,V_x))
% 0.80/0.90 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_mem__def_1,axiom,
% 0.80/0.90 ( c_in(V_x,V_S,T_a)
% 0.80/0.90 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__list__update__neq_0,axiom,
% 0.80/0.90 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a)
% 0.80/0.90 | V_i = V_j ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__cancel__21_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__cancel__21_1,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__take_0,axiom,
% 0.80/0.90 ( c_List_Onth(c_List_Otake(V_n,V_xs,T_a),V_i,T_a) = c_List_Onth(V_xs,V_i,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_n,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_xt1_I10_J_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_order__less__trans_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_take__map_0,axiom,
% 0.80/0.90 c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__drop_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_Odrop(V_n,V_xs,T_a),T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__Var_2,axiom,
% 0.80/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.80/0.90 | V_i = V_k
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.80/0.90 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.80/0.90 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.80/0.90 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.80/0.90 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.80/0.90 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__preserves__beta_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.80/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__same__conv_1,axiom,
% 0.80/0.90 ( ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a) = V_xs ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_upd__conv__take__nth__drop_0,axiom,
% 0.80/0.90 ( c_List_Olist__update(V_xs,V_i,V_a,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_id__take__nth__drop_0,axiom,
% 0.80/0.90 ( V_xs = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_take__Suc__conv__app__nth_0,axiom,
% 0.80/0.90 ( c_List_Otake(c_Suc(V_i),V_xs,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Olist_ONil(T_a),T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__map_0,axiom,
% 0.80/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_head__Var__reduction_0,axiom,
% 0.80/0.90 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)
% 0.80/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_4,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | ~ hBOOL(hAPP(V_P,c_List_Onth(V_xs,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),T_a))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_3,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | hBOOL(hAPP(V_P,c_List_Onth(V_xs,V_n,T_a)))
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_hd__drop__conv__nth_0,axiom,
% 0.80/0.90 ( c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Onth(V_xs,V_n,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__drop_H_0,axiom,
% 0.80/0.90 ( c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a) = c_List_Odrop(V_i,V_xs,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__strict__mono_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__drop_0,axiom,
% 0.80/0.90 c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__take_0,axiom,
% 0.80/0.90 c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_1,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | hBOOL(hAPP(V_P,c_List_Onth(V_xs,V_n,T_a)))
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),V_n,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_5,axiom,
% 0.80/0.90 ( V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.80/0.90 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.80/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__append__conv__if_4,axiom,
% 0.80/0.90 ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621
% 0.80/0.90 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_2,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile__eq__take__P__nth_0,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(V_P,V_n,V_xs,T_a),V_n,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__append_1,axiom,
% 0.80/0.90 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__append_1,axiom,
% 0.80/0.90 ( c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a) = c_List_Onth(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_set__update__memI_0,axiom,
% 0.80/0.90 ( c_in(V_x,c_List_Oset(c_List_Olist__update(V_xs,V_n,V_x,T_a),T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__mem_0,axiom,
% 0.80/0.90 ( c_in(c_List_Onth(V_xs,V_n,T_a),c_List_Oset(V_xs,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_in__set__conv__nth_2,axiom,
% 0.80/0.90 ( ~ c_HOL_Oord__class_Oless(V_xa,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_in(c_List_Onth(V_xs,V_xa,T_a),c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_one__less__power_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.80/0.90 | V_a = V_b
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_length__pos__if__in__set_0,axiom,
% 0.80/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__strict__decreasing_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_map__update_0,axiom,
% 0.80/0.90 c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a) = c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__same__conv_0,axiom,
% 0.80/0.90 ( c_List_Olist__update(V_xs,V_i,V_x,T_a) != V_xs
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | c_List_Onth(V_xs,V_i,T_a) = V_x ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_abs_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.80/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__append_0,axiom,
% 0.80/0.90 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.80/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_power__eq__0__iff_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.90 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.90 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.90 | ~ class_Power_Opower(T_a)
% 0.80/0.90 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_field__power__not__zero_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.80/0.90 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_double__eq__0__iff_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.90 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.80/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_double__eq__0__iff_1,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.90 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_add__0__left_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.80/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_neq0__conv_1,axiom,
% 0.80/0.90 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_gr0I_0,axiom,
% 0.80/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_gr__implies__not0_0,axiom,
% 0.80/0.90 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_not__less0_0,axiom,
% 0.80/0.90 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__0_0,axiom,
% 0.80/0.90 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.80/0.90 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.80/0.90 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.80/0.90 | V_x = V_y
% 0.80/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_nth__Cons__number__of_0,axiom,
% 0.80/0.90 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.90 | c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a) = V_x ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__Cons__number__of_0,axiom,
% 0.80/0.90 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.90 | c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_splice__Cons__Cons_0,axiom,
% 0.80/0.90 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__Cons_0,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.80/0.90 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.80/0.90 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.80/0.90 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.80/0.90 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.80/0.90 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted__Cons_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.80/0.90 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile_Osimps_I2_J_0,axiom,
% 0.80/0.90 ( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
% 0.80/0.90 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_length__greater__0__conv_1,axiom,
% 0.80/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_length__greater__0__conv_0,axiom,
% 0.80/0.90 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_last__snoc_0,axiom,
% 0.80/0.90 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_butlast__snoc_0,axiom,
% 0.80/0.90 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.80/0.90 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.80/0.90 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.80/0.90 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.80/0.90 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_replicate__append__same_0,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.80/0.90 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.80/0.90 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_butlast_Osimps_I1_J_0,axiom,
% 0.80/0.90 c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_takeWhile_Osimps_I1_J_0,axiom,
% 0.80/0.90 c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_self__append__conv2_0,axiom,
% 0.80/0.90 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__self__conv2_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_self__append__conv_0,axiom,
% 0.80/0.90 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.80/0.90 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__self__conv_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.80/0.90 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_splice__Nil2_0,axiom,
% 0.80/0.90 c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_splice_Osimps_I1_J_0,axiom,
% 0.80/0.90 c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.80/0.90 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.80/0.90 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.80/0.90 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.80/0.90 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_drop__Nil_0,axiom,
% 0.80/0.90 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.80/0.90 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_self__append__conv2_1,axiom,
% 0.80/0.90 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__Nil_0,axiom,
% 0.80/0.90 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_self__append__conv_1,axiom,
% 0.80/0.90 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.80/0.90 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__Nil2_0,axiom,
% 0.80/0.90 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_take__eq__Nil_2,axiom,
% 0.80/0.90 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_listsp_ONil_0,axiom,
% 0.80/0.90 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.80/0.90 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sublist__nil_0,axiom,
% 0.80/0.90 c_List_Osublist(c_List_Olist_ONil(T_a),V_A,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 0.80/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.90 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__nonempty_1,axiom,
% 0.80/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__code_I1_J_0,axiom,
% 0.80/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 0.80/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.80/0.90 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.80/0.90 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.80/0.90 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.80/0.90 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_list__update__nonempty_0,axiom,
% 0.80/0.90 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_listsum_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.90 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__App_0,axiom,
% 0.80/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.80/0.90 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.80/0.90 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.80/0.90 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 0.80/0.90 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osplit_1,axiom,
% 0.80/0.90 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 0.80/0.90 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.80/0.90 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_appR_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))
% 0.80/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_appL_0,axiom,
% 0.80/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))
% 0.80/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_foldl__assoc_0,axiom,
% 0.80/0.90 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.80/0.90 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_foldl__append_0,axiom,
% 0.80/0.90 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.80/0.90 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.80/0.90 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.80/0.90 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osplit_0,axiom,
% 0.80/0.90 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.80/0.90 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_subst__eq_0,axiom,
% 0.80/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.80/0.90 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.80/0.90 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_rev__map_0,axiom,
% 0.80/0.90 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.80/0.90 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.80/0.90 | V_m = V_n ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_append__same__eq_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.80/0.90 | V_ys = V_zs ) ).
% 0.80/0.90
% 0.80/0.90 cnf(cls_same__append__eq_0,axiom,
% 0.80/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.80/0.91 | V_ys = V_zs ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sorted__take_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_List_Olinorder__class_Osorted(c_List_Otake(V_n,V_xs,T_a),T_a)
% 0.80/0.91 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__append__length_0,axiom,
% 0.80/0.91 c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_x ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_takeWhile__eq__take_0,axiom,
% 0.80/0.91 c_List_OtakeWhile(V_P,V_xs,T_a) = c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__length__takeWhile_0,axiom,
% 0.80/0.91 ( ~ hBOOL(hAPP(V_P,c_List_Onth(V_xs,c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),T_a)))
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__swap_0,axiom,
% 0.80/0.91 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__swap_1,axiom,
% 0.80/0.91 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__rev__ident_0,axiom,
% 0.80/0.91 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__butlast__last__id_0,axiom,
% 0.80/0.91 ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs
% 0.80/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__conv__conj_0,axiom,
% 0.80/0.91 V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__map_0,axiom,
% 0.80/0.91 c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_map__replicate_0,axiom,
% 0.80/0.91 c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__append_0,axiom,
% 0.80/0.91 ( c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a) = c_List_Onth(V_xs,V_n,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__replicate_0,axiom,
% 0.80/0.91 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.80/0.91 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.80/0.91 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.80/0.91 | V_m = V_n ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_even__less__0__iff_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_even__less__0__iff_1,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__list__update_0,axiom,
% 0.80/0.91 ( ~ c_HOL_Oord__class_Oless(V_x,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.91 | c_List_Onth(c_List_Olist__update(V_xs,V_x,V_xa,T_a),V_x,T_a) = V_xa ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__list__update__eq_0,axiom,
% 0.80/0.91 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,T_a) = V_x
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_zero__less__power_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_last__drop_0,axiom,
% 0.80/0.91 ( c_List_Olast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.80/0.91 | V_dB = V_dB_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_take__butlast_0,axiom,
% 0.80/0.91 ( c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Otake(V_n,V_xs,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_map__eq__imp__length__eq_0,axiom,
% 0.80/0.91 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
% 0.80/0.91 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__conv__conj_2,axiom,
% 0.80/0.91 ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a)
% 0.80/0.91 | c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a) = V_zs ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__append_0,axiom,
% 0.80/0.91 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__append1_0,axiom,
% 0.80/0.91 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__replicate_0,axiom,
% 0.80/0.91 ( c_List_Onth(c_List_Oreplicate(V_n,V_x,T_a),V_i,T_a) = V_x
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_n,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_takeWhile__tail_0,axiom,
% 0.80/0.91 ( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a) = c_List_OtakeWhile(V_P,V_xs,T_a)
% 0.80/0.91 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nat__less__le_1,axiom,
% 0.80/0.91 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_less__not__refl_0,axiom,
% 0.80/0.91 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_order__less__le_1,axiom,
% 0.80/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__neq__iff_1,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_order__less__irrefl_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_last__append_1,axiom,
% 0.80/0.91 ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a)
% 0.80/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_beta_0,axiom,
% 0.80/0.91 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__pos__pos_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.91 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_map__append_0,axiom,
% 0.80/0.91 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.91 | V_x = V_y ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | V_x = V_y
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nat__neq__iff_0,axiom,
% 0.80/0.91 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.91 | V_m = V_n ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nat__less__cases_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.80/0.91 | V_m = V_n
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.80/0.91 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.80/0.91 | V_x = V_y ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__neqE_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.91 | V_x = V_y ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__replicate__commute_0,axiom,
% 0.80/0.91 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__less__linear_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.91 | V_x = V_y
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | V_x = V_y
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__strict__mono_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__map_0,axiom,
% 0.80/0.91 ( c_List_Onth(c_List_Omap(V_f,V_xs,T_a,T_b),V_n,T_b) = hAPP(V_f,c_List_Onth(V_xs,V_n,T_a))
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__less__iff_1,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__less__iff_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.80/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.80/0.91 | V_xs = V_ys ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_last__append_0,axiom,
% 0.80/0.91 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_listsum__rev_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.91 | c_List_Olistsum(c_List_Orev(V_xs,T_a),T_a) = c_List_Olistsum(V_xs,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.80/0.91 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.80/0.91 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.80/0.91 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__replicate_0,axiom,
% 0.80/0.91 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__id_0,axiom,
% 0.80/0.91 c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a) = V_xs ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_pos__add__strict_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_subst__lt_0,axiom,
% 0.80/0.91 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osplit_2,axiom,
% 0.80/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.80/0.91 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.80/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.80/0.91 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__length_0,axiom,
% 0.80/0.91 c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__strict__right__mono_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__less__cancel__right_1,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__less__cancel__right_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__strict__left__mono_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__less__cancel__left_1,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_add__less__cancel__left_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__via__drop_0,axiom,
% 0.80/0.91 ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.80/0.91 | c_List_Onth(V_xs,V_n,T_a) = V_y ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__append__conv__if_6,axiom,
% 0.80/0.91 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) != V_ys_092_060_094isub_0622
% 0.80/0.91 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621
% 0.80/0.91 | V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.80/0.91 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_subject__reduction_0,axiom,
% 0.80/0.91 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.80/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.80/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sorted__append_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.80/0.91 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sorted__append_1,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_List_Olinorder__class_Osorted(V_ys,T_a)
% 0.80/0.91 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__swap_0,axiom,
% 0.80/0.91 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 0.80/0.91 | V_i = V_i_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.80/0.91 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_drop__map_0,axiom,
% 0.80/0.91 c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__rev_0,axiom,
% 0.80/0.91 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_butlast__append_1,axiom,
% 0.80/0.91 ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)
% 0.80/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_listsum__append_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.91 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__list__update_1,axiom,
% 0.80/0.91 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a)
% 0.80/0.91 | V_i = V_j
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__overwrite_0,axiom,
% 0.80/0.91 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__assoc_0,axiom,
% 0.80/0.91 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__appendI_0,axiom,
% 0.80/0.91 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.80/0.91 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.80/0.91 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_xt1_I9_J_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_order__less__asym_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_order__less__asym_H_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.80/0.91 ( hAPP(V_e,V_i) = V_T
% 0.80/0.91 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.80/0.91 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_typing_OVar_0,axiom,
% 0.80/0.91 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lifts__IT_0,axiom,
% 0.80/0.91 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.80/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App_I2_J_0,axiom,
% 0.80/0.91 hBOOL(hAPP(c_InductTermi_OIT,v_s____)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Lambda_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_subst__lift_0,axiom,
% 0.80/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lift__preserves__beta_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.80/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sublist__singleton_0,axiom,
% 0.80/0.91 ( c_List_Osublist(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),V_A,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.80/0.91 | ~ c_in(c_HOL_Ozero__class_Ozero(tc_nat),V_A,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_take__Cons__number__of_0,axiom,
% 0.80/0.91 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.91 | c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sublist__singleton_1,axiom,
% 0.80/0.91 ( c_List_Osublist(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),V_A,T_a) = c_List_Olist_ONil(T_a)
% 0.80/0.91 | c_in(c_HOL_Ozero__class_Ozero(tc_nat),V_A,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_head__Var__reduction_1,axiom,
% 0.80/0.91 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lift__map_0,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_power__eq__0__iff_2,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.91 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.91 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.91 | ~ class_Power_Opower(T_a)
% 0.80/0.91 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_power__0__left_1,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.80/0.91 | ~ class_Power_Opower(T_a)
% 0.80/0.91 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_power__eq__0__iff_1,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.91 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.91 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.91 | ~ class_Power_Opower(T_a)
% 0.80/0.91 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_of__nat__0_0,axiom,
% 0.80/0.91 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.80/0.91 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.91 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_nth__Cons_H_0,axiom,
% 0.80/0.91 c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_drop__Cons_H_0,axiom,
% 0.80/0.91 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list__update__code_I2_J_0,axiom,
% 0.80/0.91 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list_Osize_I1_J_0,axiom,
% 0.80/0.91 c_List_Olist_Olist__size(V_fa,c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Nitpick_Olist__size__simp_I1_J_0,axiom,
% 0.80/0.91 c_List_Olist_Olist__size(V_f,c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__0__conv_0,axiom,
% 0.80/0.91 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_empty__replicate_0,axiom,
% 0.80/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.80/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_replicate__empty_0,axiom,
% 0.80/0.91 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_take__0_0,axiom,
% 0.80/0.91 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_empty__replicate_1,axiom,
% 0.80/0.91 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__0__conv_1,axiom,
% 0.80/0.91 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_take__eq__Nil_0,axiom,
% 0.80/0.91 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.80/0.91 | V_xs = c_List_Olist_ONil(T_a)
% 0.80/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_length__unique_Osimps_I1_J_0,axiom,
% 0.80/0.91 c_List_Olength__unique(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_replicate__empty_1,axiom,
% 0.80/0.91 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append1__eq__conv_1,axiom,
% 0.80/0.91 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.80/0.91 | V_x = V_y ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append1__eq__conv_0,axiom,
% 0.80/0.91 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.80/0.91 | V_xs = V_ys ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.80/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_insort__key_Osimps_I1_J_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_b)
% 0.80/0.91 | c_List_Olinorder__class_Oinsort__key(V_f,V_x,c_List_Olist_ONil(T_a),T_a,T_b) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_butlast_Osimps_I2_J_1,axiom,
% 0.80/0.91 ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)
% 0.80/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_last_Osimps_0,axiom,
% 0.80/0.91 c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_butlast_Osimps_I2_J_0,axiom,
% 0.80/0.91 c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_splice_Osimps_I2_J_0,axiom,
% 0.80/0.91 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__singleton__conv_0,axiom,
% 0.80/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.80/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_takeWhile_Osimps_I2_J_1,axiom,
% 0.80/0.91 ( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
% 0.80/0.91 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_singleton__rev__conv_0,axiom,
% 0.80/0.91 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.80/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_rev__singleton__conv_1,axiom,
% 0.80/0.91 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_last_Osimps_1,axiom,
% 0.80/0.91 ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 0.80/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.80/0.91 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_singleton__rev__conv_1,axiom,
% 0.80/0.91 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 0.80/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.91 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_foldl__absorb0_0,axiom,
% 0.80/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.80/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.80/0.91 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.80/0.91 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.80/0.91 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_r = V_s ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_rs = V_ss ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_apps__preserves__beta_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.80/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Beta_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_subst__Var__IT_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.80/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_1,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_ts = c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)
% 0.80/0.91 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_take__Cons_H_0,axiom,
% 0.80/0.91 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_var__app__type__eq_0,axiom,
% 0.80/0.91 ( V_T = V_U
% 0.80/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.80/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.80/0.91 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.80/0.91 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.80/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.80/0.91 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_IT_OVar_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.80/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_3,axiom,
% 0.80/0.91 ( c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 0.80/0.91 | hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_x,tc_Lambda_OdB,tc_Lambda_OdB)),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_app__last_0,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_ts,c_List_Olist_OCons(V_u,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_5,axiom,
% 0.80/0.91 ( V_r != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),V_xa,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Oappend(V_xa,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.80/0.91 | V_nat = V_nat_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_m = V_n ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_rs = V_ss ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list_Oinject_1,axiom,
% 0.80/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.80/0.91 | V_list = V_list_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list_Oinject_0,axiom,
% 0.80/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.80/0.91 | V_a = V_a_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.80/0.91 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.80/0.91 | V_dB1 = V_dB1_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.80/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.80/0.91 | V_dB2 = V_dB2_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.80/0.91 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lift__IT_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_foldl__Nil_0,axiom,
% 0.80/0.91 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__IT_0,axiom,
% 0.80/0.91 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_App_I4_J_0,axiom,
% 0.80/0.91 hBOOL(hAPP(c_InductTermi_OIT,v_ta____)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.80/0.91 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_foldl__Cons_0,axiom,
% 0.80/0.91 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_neq__Nil__conv_1,axiom,
% 0.80/0.91 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.80/0.91 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.80/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_r = V_s ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_not__Cons__self2_0,axiom,
% 0.80/0.91 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_not__Cons__self_0,axiom,
% 0.80/0.91 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.80/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.80/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_app__Var__IT_0,axiom,
% 0.80/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.80/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.80/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_CHAINED_0,axiom,
% 0.80/0.91 c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.80/0.91 ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.80/0.91 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.80/0.91 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.80/0.91 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.80/0.91 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.80/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.80/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.80/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.80/0.91 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.80/0.91 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.80/0.91 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.80/0.91 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.80/0.91 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.80/0.91 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.80/0.91 class_Orderings_Opreorder(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.80/0.91 class_Orderings_Olinorder(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.80/0.91 class_Orderings_Oorder(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Power_Opower,axiom,
% 0.80/0.91 class_Power_Opower(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_nat__Int_Onumber,axiom,
% 0.80/0.91 class_Int_Onumber(tc_nat) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.80/0.91 class_Orderings_Opreorder(tc_bool) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.80/0.91 class_Orderings_Oorder(tc_bool) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.80/0.91 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.80/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.80/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.80/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 0.80/0.91 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.80/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 0.80/0.91 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 0.80/0.91 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Osemigroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
% 0.80/0.91 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 0.80/0.91 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 0.80/0.91 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 0.80/0.91 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 0.80/0.91 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 0.80/0.91 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 0.80/0.91 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
% 0.80/0.91 class_Ring__and__Field_Oring__1(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 0.80/0.91 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 0.80/0.91 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 0.80/0.91 class_Orderings_Opreorder(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 0.80/0.91 class_Orderings_Olinorder(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 0.80/0.91 class_Orderings_Oorder(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 0.80/0.91 class_Int_Oring__char__0(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 0.80/0.91 class_Int_Onumber__ring(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 0.80/0.91 class_Power_Opower(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 0.80/0.91 class_Int_Onumber(tc_Int_Oint) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.80/0.91 c_fequal(V_x,V_x,T_a) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.80/0.91 ( V_X = V_Y
% 0.80/0.91 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 %------------------------------------------------------------------------------
% 0.80/0.91 %-------------------------------------------
% 0.80/0.91 % Proof found
% 0.80/0.91 % SZS status Theorem for theBenchmark
% 0.80/0.91 % SZS output start Proof
% 0.80/0.92 %ClaNum:893(EqnAxiom:170)
% 0.80/0.92 %VarNum:4504(SingletonVarNum:1726)
% 0.80/0.92 %MaxLitNum:6
% 0.80/0.92 %MaxfuncDepth:5
% 0.80/0.92 %SharedTerms:91
% 0.80/0.92 %goalClause: 413
% 0.80/0.92 %singleGoalClaCount:1
% 0.80/0.92 [171]P1(a1)
% 0.80/0.92 [172]P23(a48)
% 0.80/0.92 [173]P23(a49)
% 0.80/0.92 [174]P23(a1)
% 0.80/0.92 [175]P24(a48)
% 0.80/0.92 [176]P24(a49)
% 0.80/0.92 [177]P24(a1)
% 0.80/0.92 [178]P31(a1)
% 0.80/0.92 [179]P32(a48)
% 0.80/0.92 [180]P32(a1)
% 0.80/0.92 [181]P25(a48)
% 0.80/0.92 [182]P25(a1)
% 0.80/0.92 [183]P26(a48)
% 0.80/0.92 [184]P26(a1)
% 0.80/0.92 [185]P2(a1)
% 0.80/0.92 [186]P20(a48)
% 0.80/0.92 [187]P20(a1)
% 0.80/0.92 [188]P27(a48)
% 0.80/0.92 [189]P27(a1)
% 0.80/0.92 [190]P28(a48)
% 0.80/0.92 [191]P28(a1)
% 0.80/0.92 [192]P21(a1)
% 0.80/0.92 [193]P3(a48)
% 0.80/0.92 [194]P3(a1)
% 0.80/0.92 [195]P29(a48)
% 0.80/0.92 [196]P29(a1)
% 0.80/0.92 [197]P4(a48)
% 0.80/0.92 [198]P4(a1)
% 0.80/0.92 [199]P39(a48)
% 0.80/0.92 [200]P39(a1)
% 0.80/0.92 [201]P33(a48)
% 0.80/0.92 [202]P33(a1)
% 0.80/0.92 [203]P34(a48)
% 0.80/0.92 [204]P34(a1)
% 0.80/0.92 [205]P13(a1)
% 0.80/0.92 [206]P41(a48)
% 0.80/0.92 [207]P41(a1)
% 0.80/0.92 [208]P42(a48)
% 0.80/0.92 [209]P42(a1)
% 0.80/0.92 [210]P35(a1)
% 0.80/0.92 [211]P14(a1)
% 0.80/0.92 [212]P17(a48)
% 0.80/0.92 [213]P17(a1)
% 0.80/0.92 [214]P18(a48)
% 0.80/0.92 [215]P18(a1)
% 0.80/0.92 [216]P15(a1)
% 0.80/0.92 [217]P19(a48)
% 0.80/0.92 [218]P19(a1)
% 0.80/0.92 [219]P36(a48)
% 0.80/0.92 [220]P36(a1)
% 0.80/0.92 [221]P37(a48)
% 0.80/0.92 [222]P37(a1)
% 0.80/0.92 [223]P40(a1)
% 0.80/0.92 [224]P22(a48)
% 0.80/0.92 [225]P22(a1)
% 0.80/0.92 [226]P30(a48)
% 0.80/0.92 [227]P30(a1)
% 0.80/0.92 [228]P16(a48)
% 0.80/0.92 [229]P16(a1)
% 0.80/0.92 [230]P38(a1)
% 0.80/0.92 [237]P43(f44(a8,a53))
% 0.80/0.92 [238]P43(f44(a8,a54))
% 0.80/0.92 [319]P8(a8,f28(f44(f44(a21,a54),f3(a48)),f16(a50),a50),a50)
% 0.80/0.92 [413]~P43(f44(a8,f26(a9,f2(f3(a48)),f28(f44(f44(a21,a54),f3(a48)),f16(a50),a50),a50,a50)))
% 0.80/0.92 [245]P5(x2451,x2451,a48)
% 0.80/0.92 [396]~P7(x3961,x3961,a48)
% 0.80/0.92 [248]E(f4(x2481,x2481,a48),f3(a48))
% 0.80/0.92 [249]P5(f3(a48),x2491,a48)
% 0.80/0.92 [254]P7(x2541,f45(x2541),a48)
% 0.80/0.92 [268]P7(f3(a48),f45(x2681),a48)
% 0.80/0.92 [384]~E(f45(x3841),x3841)
% 0.80/0.92 [388]~E(f45(x3881),f3(a48))
% 0.80/0.92 [400]~P7(x4001,f3(a48),a48)
% 0.80/0.92 [404]~P5(f45(x4041),x4041,a48)
% 0.80/0.92 [231]E(f13(f2(x2311)),f3(a48))
% 0.80/0.92 [232]E(f15(f2(x2321),a50),f3(a48))
% 0.80/0.92 [233]E(f17(f16(x2331),x2331),f3(a48))
% 0.80/0.92 [235]E(f30(f16(x2351),x2351),f16(x2351))
% 0.80/0.92 [236]E(f18(f16(x2361),x2361),f16(x2361))
% 0.80/0.92 [239]E(f15(f16(x2391),f51(x2391)),f3(a48))
% 0.80/0.92 [240]P43(f44(a8,f2(x2401)))
% 0.80/0.92 [250]E(f4(x2501,f3(a48),a48),x2501)
% 0.80/0.92 [252]E(f4(f3(a48),x2521,a48),f3(a48))
% 0.80/0.92 [407]~P7(f3(a48),f15(f16(x4071),f51(x4071)),a48)
% 0.80/0.92 [247]P6(x2471,x2471,x2472)
% 0.80/0.92 [256]P8(x2561,f16(x2562),x2562)
% 0.80/0.92 [280]P11(x2801,f2(x2802),f44(x2801,x2802))
% 0.80/0.92 [291]P5(f4(x2911,x2912,a48),x2911,a48)
% 0.80/0.92 [292]P7(f4(x2921,x2922,a48),f45(x2921),a48)
% 0.80/0.92 [390]~E(f12(x3901),f2(x3902))
% 0.80/0.92 [243]E(f30(f30(x2431,x2432),x2432),x2431)
% 0.80/0.92 [246]E(f37(f30(x2461,x2462),x2462),f37(x2461,x2462))
% 0.80/0.92 [251]E(f24(f3(a48),x2511,x2512),x2511)
% 0.80/0.92 [260]E(f19(x2601,f16(x2602),x2602),x2601)
% 0.80/0.92 [261]E(f38(x2611,f16(x2612),x2612),x2611)
% 0.80/0.92 [262]E(f19(f16(x2621),x2622,x2621),x2622)
% 0.80/0.92 [263]E(f38(f16(x2631),x2632,x2631),x2632)
% 0.80/0.92 [265]E(f40(f3(a48),x2651,x2652),f16(x2652))
% 0.80/0.92 [266]E(f31(f3(a48),x2661,x2662),f16(x2662))
% 0.80/0.92 [270]E(f32(x2701,f16(x2702),x2702),f3(a48))
% 0.80/0.92 [271]E(f40(x2711,f16(x2712),x2712),f16(x2712))
% 0.80/0.92 [272]E(f24(x2721,f16(x2722),x2722),f16(x2722))
% 0.80/0.92 [273]E(f42(x2731,f16(x2732),x2732),f16(x2732))
% 0.80/0.92 [274]E(f41(f16(x2741),x2742,x2741),f16(x2741))
% 0.80/0.92 [276]E(f15(f30(x2761,x2762),f51(x2762)),f15(x2761,f51(x2762)))
% 0.80/0.92 [283]E(f4(f45(x2831),f45(x2832),a48),f4(x2831,x2832,a48))
% 0.80/0.92 [286]E(f27(f28(x2861,f16(x2862),x2862),x2862),x2861)
% 0.80/0.92 [287]E(f18(f28(x2871,f16(x2872),x2872),x2872),f16(x2872))
% 0.80/0.92 [288]E(f18(f19(x2881,f16(x2882),x2882),x2882),f18(x2881,x2882))
% 0.80/0.92 [289]E(f27(f19(x2891,f16(x2892),x2892),x2892),f27(x2891,x2892))
% 0.80/0.92 [290]E(f25(f19(f16(x2901),x2902,x2901),x2901),f25(x2902,x2901))
% 0.80/0.92 [299]E(f30(f28(x2991,f16(x2992),x2992),x2992),f28(x2991,f16(x2992),x2992))
% 0.80/0.92 [358]P43(f44(f44(a10,f44(f44(a9,f12(x3581)),x3582)),f44(f44(f44(a20,x3581),x3582),f3(a48))))
% 0.80/0.92 [406]~P43(f44(f44(a10,f2(x4061)),x4062))
% 0.80/0.92 [281]E(f44(f44(f44(a20,f2(x2811)),x2812),x2811),x2812)
% 0.80/0.92 [398]~E(f28(x3981,x3982,x3983),x3982)
% 0.80/0.92 [403]~E(f28(x4031,x4032,x4033),f16(x4033))
% 0.80/0.92 [408]~P9(x4081,x4082,f16(x4083),x4083)
% 0.80/0.92 [409]~P9(x4091,f16(x4092),x4093,x4092)
% 0.80/0.92 [282]E(f31(f3(a48),x2821,x2822),f31(f3(a48),x2823,x2822))
% 0.80/0.92 [284]E(f25(f28(x2841,x2842,x2843),x2843),x2841)
% 0.80/0.92 [285]E(f15(f31(x2851,x2852,x2853),f51(x2853)),x2851)
% 0.80/0.92 [293]E(f33(f28(x2931,x2932,x2933),f3(a48),x2933),x2931)
% 0.80/0.92 [297]E(f30(f31(x2971,x2972,x2973),x2973),f31(x2971,x2972,x2973))
% 0.80/0.92 [300]E(f40(f15(x3001,f51(x3002)),f19(x3001,x3003,x3002),x3002),x3001)
% 0.80/0.92 [301]E(f24(f15(x3011,f51(x3012)),f19(x3011,x3013,x3012),x3012),x3013)
% 0.80/0.92 [303]E(f24(x3031,f18(x3032,x3033),x3033),f18(f24(x3031,x3032,x3033),x3033))
% 0.80/0.92 [307]E(f28(x3071,f31(x3072,x3071,x3073),x3073),f31(f45(x3072),x3071,x3073))
% 0.80/0.92 [312]E(f19(f30(x3121,x3122),f30(x3123,x3122),x3122),f30(f19(x3123,x3121,x3122),x3122))
% 0.80/0.92 [314]E(f34(x3141,f16(x3142),x3142,x3143),f16(x3143))
% 0.80/0.92 [317]E(f35(f16(x3171),x3172,x3173,x3171),f16(x3171))
% 0.80/0.92 [318]E(f19(f40(x3181,x3182,x3183),f24(x3181,x3182,x3183),x3183),x3182)
% 0.80/0.92 [320]E(f4(f4(x3201,x3202,a48),x3203,a48),f4(f4(x3201,x3203,a48),x3202,a48))
% 0.80/0.92 [332]E(f4(f4(f45(x3321),x3322,a48),f45(x3323),a48),f4(f4(x3321,x3322,a48),x3323,a48))
% 0.80/0.92 [333]P5(f15(f42(x3331,x3332,x3333),f51(x3333)),f15(x3332,f51(x3333)),a48)
% 0.80/0.92 [334]E(f35(x3341,x3342,f33(x3341,x3342,x3343),x3343),x3341)
% 0.80/0.92 [339]E(f24(f4(f15(x3391,f51(x3392)),x3393,a48),f30(x3391,x3392),x3392),f30(f40(x3393,x3391,x3392),x3392))
% 0.80/0.92 [340]E(f40(f4(f15(x3401,f51(x3402)),x3403,a48),f30(x3401,x3402),x3402),f30(f24(x3403,x3401,x3402),x3402))
% 0.80/0.92 [391]~E(f2(x3911),f44(f44(a9,x3912),x3913))
% 0.80/0.92 [392]~E(f12(x3921),f44(f44(a9,x3922),x3923))
% 0.80/0.92 [393]~E(f44(f44(a9,x3931),x3932),f2(x3933))
% 0.80/0.92 [394]~E(f44(f44(a9,x3941),x3942),f12(x3943))
% 0.80/0.92 [410]~P5(f15(f28(x4101,x4102,x4103),f51(x4103)),f15(x4102,f51(x4103)),a48)
% 0.80/0.92 [296]E(f15(f28(x2961,x2962,x2963),f51(x2963)),f45(f15(x2962,f51(x2963))))
% 0.80/0.92 [304]E(f15(f24(x3041,x3042,x3043),f51(x3043)),f4(f15(x3042,f51(x3043)),x3041,a48))
% 0.80/0.92 [322]E(f19(f30(x3221,x3222),f28(x3223,f16(x3222),x3222),x3222),f30(f28(x3223,x3221,x3222),x3222))
% 0.80/0.92 [337]E(f40(f15(f42(x3371,x3372,x3373),f51(x3373)),x3372,x3373),f42(x3371,x3372,x3373))
% 0.80/0.92 [346]E(f19(f31(x3461,x3462,x3463),f28(x3462,f16(x3463),x3463),x3463),f28(x3462,f31(x3461,x3462,x3463),x3463))
% 0.80/0.92 [381]E(f26(a9,f44(f44(a21,x3811),x3812),f34(f5(a21,x3812,a50,a48,a50),x3813,a50,a50),a50,a50),f44(f44(a21,f26(a9,x3811,x3813,a50,a50)),x3812))
% 0.80/0.92 [335]E(f18(f19(x3351,f28(x3352,f16(x3353),x3353),x3353),x3353),x3351)
% 0.80/0.92 [336]E(f27(f19(x3361,f28(x3362,f16(x3363),x3363),x3363),x3363),x3362)
% 0.80/0.92 [344]E(f44(f44(a9,f44(f44(a21,x3441),x3442)),f44(f44(a21,x3443),x3442)),f44(f44(a21,f44(f44(a9,x3441),x3443)),x3442))
% 0.80/0.92 [347]E(f30(f19(f30(x3471,x3472),f28(x3473,f16(x3472),x3472),x3472),x3472),f28(x3473,x3471,x3472))
% 0.80/0.92 [380]E(f26(a9,x3801,f19(x3802,f28(x3803,f16(a50),a50),a50),a50,a50),f44(f44(a9,f26(a9,x3801,x3802,a50,a50)),x3803))
% 0.80/0.92 [338]E(f44(f44(f44(a20,f44(f44(a21,x3381),x3382)),x3383),x3382),x3381)
% 0.80/0.92 [309]E(f24(f45(x3091),f28(x3092,x3093,x3094),x3094),f24(x3091,x3093,x3094))
% 0.80/0.92 [310]E(f33(f28(x3101,x3102,x3103),f45(x3104),x3103),f33(x3102,x3104,x3103))
% 0.80/0.92 [321]E(f24(x3211,f31(x3212,x3213,x3214),x3214),f31(f4(x3212,x3211,a48),x3213,x3214))
% 0.80/0.92 [328]E(f19(f19(x3281,x3282,x3283),x3284,x3283),f19(x3281,f19(x3282,x3284,x3283),x3283))
% 0.80/0.92 [330]E(f28(x3301,f19(x3302,x3303,x3304),x3304),f19(f28(x3301,x3302,x3304),x3303,x3304))
% 0.80/0.92 [331]E(f40(f45(x3311),f28(x3312,x3313,x3314),x3314),f28(x3312,f40(x3311,x3313,x3314),x3314))
% 0.80/0.92 [341]E(f35(f28(x3411,x3412,x3413),f3(a48),x3414,x3413),f28(x3414,x3412,x3413))
% 0.80/0.92 [343]E(f40(f4(x3431,x3432,a48),f24(x3432,x3433,x3434),x3434),f24(x3432,f40(x3431,x3433,x3434),x3434))
% 0.80/0.92 [348]E(f15(f34(x3481,x3482,x3483,x3484),f51(x3484)),f15(x3482,f51(x3483)))
% 0.80/0.92 [349]E(f15(f35(x3491,x3492,x3493,x3494),f51(x3494)),f15(x3491,f51(x3494)))
% 0.80/0.92 [350]E(f19(f31(x3501,x3502,x3503),f31(x3504,x3502,x3503),x3503),f19(f31(x3504,x3502,x3503),f31(x3501,x3502,x3503),x3503))
% 0.80/0.92 [355]E(f30(f34(x3551,x3552,x3553,x3554),x3554),f34(x3551,f30(x3552,x3553),x3553,x3554))
% 0.80/0.92 [367]E(f26(x3671,x3672,f16(x3673),x3674,x3673),x3672)
% 0.80/0.92 [412]~E(f26(a9,f12(x4121),x4122,a50,a50),f26(a9,f2(x4123),x4124,a50,a50))
% 0.80/0.92 [342]E(f33(f19(x3421,f28(x3422,x3423,x3424),x3424),f15(x3421,f51(x3424)),x3424),x3422)
% 0.80/0.92 [352]E(f28(x3521,f19(f31(x3522,x3521,x3523),x3524,x3523),x3523),f19(f31(x3522,x3521,x3523),f28(x3521,x3524,x3523),x3523))
% 0.80/0.92 [353]P12(x3531,f37(f19(x3532,f28(x3531,x3533,x3534),x3534),x3534),x3534)
% 0.80/0.92 [411]~E(f44(f44(a9,f12(x4111)),x4112),f26(a9,f2(x4113),x4114,a50,a50))
% 0.80/0.92 [356]E(f19(f40(x3561,x3562,x3563),f40(f4(x3561,f15(x3562,f51(x3563)),a48),x3564,x3563),x3563),f40(x3561,f19(x3562,x3564,x3563),x3563))
% 0.80/0.92 [357]E(f19(f24(x3571,x3572,x3573),f24(f4(x3571,f15(x3572,f51(x3573)),a48),x3574,x3573),x3573),f24(x3571,f19(x3572,x3574,x3573),x3573))
% 0.80/0.92 [362]E(f44(f44(a9,f44(f44(f44(a20,x3621),x3622),x3623)),f44(f44(f44(a20,x3624),x3622),x3623)),f44(f44(f44(a20,f44(f44(a9,x3621),x3624)),x3622),x3623))
% 0.80/0.92 [382]E(f26(a9,f44(f44(f44(a20,x3821),x3822),x3823),f34(f5(f5(a20,x3822,a50,a50,f52(a48,a50)),x3823,a50,a48,a50),x3824,a50,a50),a50,a50),f44(f44(f44(a20,f26(a9,x3821,x3824,a50,a50)),x3822),x3823))
% 0.80/0.92 [345]E(f34(x3451,f31(x3452,x3453,x3454),x3454,x3455),f31(x3452,f44(x3451,x3453),x3455))
% 0.80/0.92 [359]E(f40(x3591,f34(x3592,x3593,x3594,x3595),x3595),f34(x3592,f40(x3591,x3593,x3594),x3594,x3595))
% 0.80/0.92 [360]E(f24(x3601,f34(x3602,x3603,x3604,x3605),x3605),f34(x3602,f24(x3601,x3603,x3604),x3604,x3605))
% 0.80/0.92 [361]E(f35(f28(x3611,x3612,x3613),f45(x3614),x3615,x3613),f28(x3611,f35(x3612,x3614,x3615,x3613),x3613))
% 0.80/0.92 [364]E(f34(x3641,f28(x3642,x3643,x3644),x3644,x3645),f28(f44(x3641,x3642),f34(x3641,x3643,x3644,x3645),x3645))
% 0.80/0.92 [365]E(f28(f44(x3651,x3652),f34(x3651,x3653,x3654,x3655),x3655),f34(x3651,f28(x3652,x3653,x3654),x3654,x3655))
% 0.80/0.92 [366]E(f35(f35(x3661,x3662,x3663,x3664),x3662,x3665,x3664),f35(x3661,x3662,x3665,x3664))
% 0.80/0.92 [371]E(f14(x3711,x3712,x3713,f2(x3714),x3715),f44(x3711,x3714))
% 0.80/0.92 [372]E(f14(x3721,x3722,x3723,f12(x3724),x3725),f44(x3723,x3724))
% 0.80/0.92 [375]E(f19(f34(x3751,x3752,x3753,x3754),f34(x3751,x3755,x3753,x3754),x3754),f34(x3751,f19(x3752,x3755,x3753),x3753,x3754))
% 0.80/0.92 [351]E(f28(x3511,f28(x3512,f38(x3513,x3514,x3515),x3515),x3515),f38(f28(x3511,x3513,x3515),f28(x3512,x3514,x3515),x3515))
% 0.80/0.92 [354]E(f35(f19(x3541,f28(x3542,x3543,x3544),x3544),f15(x3541,f51(x3544)),x3545,x3544),f19(x3541,f28(x3545,x3543,x3544),x3544))
% 0.80/0.92 [376]E(f34(x3761,f35(x3762,x3763,x3764,x3765),x3765,x3766),f35(f34(x3761,x3762,x3765,x3766),x3763,f44(x3761,x3764),x3766))
% 0.80/0.92 [377]E(f44(f5(x3771,x3772,x3773,x3774,x3775),x3776),f44(f44(x3771,x3776),x3772))
% 0.80/0.92 [379]E(f26(x3791,f26(x3791,x3792,x3793,x3794,x3795),x3796,x3794,x3795),f26(x3791,x3792,f19(x3793,x3796,x3795),x3794,x3795))
% 0.80/0.92 [374]E(f14(x3741,x3742,x3743,f44(f44(a9,x3744),x3745),x3746),f44(f44(x3742,x3744),x3745))
% 0.80/0.92 [378]E(f26(x3781,x3782,f28(x3783,x3784,x3785),x3786,x3785),f26(x3781,f44(f44(x3781,x3782),x3783),x3784,x3786,x3785))
% 0.80/0.92 [419]~P42(x4191)+~E(f6(x4191),f3(x4191))
% 0.80/0.92 [420]~P27(x4201)+P10(f16(x4201),x4201)
% 0.80/0.92 [432]E(x4321,f3(a48))+P7(f3(a48),x4321,a48)
% 0.80/0.92 [453]~P32(x4531)+P7(f3(x4531),f6(x4531),x4531)
% 0.80/0.92 [454]~P32(x4541)+P5(f3(x4541),f6(x4541),x4541)
% 0.80/0.92 [462]E(x4621,f3(a48))+~P5(x4621,f3(a48),a48)
% 0.80/0.92 [498]~P32(x4981)+~P7(f6(x4981),f3(x4981),x4981)
% 0.80/0.92 [499]~P32(x4991)+~P5(f6(x4991),f3(x4991),x4991)
% 0.80/0.92 [421]~P41(x4211)+E(f43(f3(a48),x4211),f3(x4211))
% 0.80/0.92 [422]~P22(x4221)+E(f36(f16(x4221),x4221),f3(x4221))
% 0.80/0.92 [456]~P21(x4561)+E(f44(f44(f7(x4561),f3(x4561)),f3(x4561)),f3(x4561))
% 0.80/0.92 [458]~P43(f44(a8,x4581))+P43(f44(a8,f12(x4581)))
% 0.80/0.92 [488]E(x4881,f3(a48))+~P7(x4881,f45(f3(a48)),a48)
% 0.80/0.92 [617]~P32(x6171)+P7(f3(x6171),f44(f44(f7(x6171),f6(x6171)),f6(x6171)),x6171)
% 0.80/0.92 [878]~P8(a8,x8781,a50)+P8(a8,f34(f5(a21,f3(a48),a50,a48,a50),x8781,a50,a50),a50)
% 0.80/0.92 [626]~P7(f3(a48),x6261,a48)+E(f45(f4(x6261,f45(f3(a48)),a48)),x6261)
% 0.80/0.92 [435]~P23(x4352)+P5(x4351,x4351,x4352)
% 0.80/0.92 [436]~P24(x4362)+P5(x4361,x4361,x4362)
% 0.80/0.92 [467]~P7(x4672,x4672,x4671)+~P23(x4671)
% 0.80/0.92 [468]~P7(x4682,x4682,x4681)+~P24(x4681)
% 0.80/0.92 [469]~P7(x4692,x4692,x4691)+~P27(x4691)
% 0.80/0.92 [487]P5(x4872,x4871,a48)+P5(x4871,x4872,a48)
% 0.80/0.92 [522]~P7(x5221,x5222,a48)+P5(x5221,x5222,a48)
% 0.80/0.92 [415]E(x4151,x4152)+~E(f45(x4151),f45(x4152))
% 0.80/0.92 [416]E(x4161,x4162)+~E(f2(x4161),f2(x4162))
% 0.80/0.92 [417]E(x4171,x4172)+~E(f12(x4171),f12(x4172))
% 0.80/0.92 [424]~E(f30(x4241,x4242),f16(x4242))+E(x4241,f16(x4242))
% 0.80/0.92 [425]~P23(x4252)+P23(f52(x4251,x4252))
% 0.80/0.92 [426]~P24(x4262)+P24(f52(x4261,x4262))
% 0.80/0.92 [438]~P2(x4382)+E(f4(x4381,x4381,x4382),f3(x4382))
% 0.80/0.92 [439]~P13(x4392)+E(f4(x4391,x4391,x4392),f3(x4392))
% 0.80/0.92 [471]~P32(x4711)+P5(f3(x4711),f43(x4712,x4711),x4711)
% 0.80/0.92 [496]P12(f25(x4961,x4962),f37(x4961,x4962),x4962)+E(x4961,f16(x4962))
% 0.80/0.92 [497]P12(f27(x4971,x4972),f37(x4971,x4972),x4972)+E(x4971,f16(x4972))
% 0.80/0.92 [500]P7(x5001,x5002,a48)+P7(x5002,f45(x5001),a48)
% 0.80/0.92 [502]P5(x5021,x5022,a48)+P5(f45(x5022),x5021,a48)
% 0.80/0.92 [524]~P5(x5241,x5242,a48)+E(f4(x5241,x5242,a48),f3(a48))
% 0.80/0.92 [532]P5(x5321,x5322,a48)+~E(f4(x5321,x5322,a48),f3(a48))
% 0.80/0.92 [533]~P7(x5331,x5332,a48)+P7(x5331,f45(x5332),a48)
% 0.80/0.92 [534]~P5(x5341,x5342,a48)+P7(x5341,f45(x5342),a48)
% 0.80/0.92 [536]~P5(x5361,x5362,a48)+P5(x5361,f45(x5362),a48)
% 0.80/0.92 [538]~P7(x5381,x5382,a48)+P5(f45(x5381),x5382,a48)
% 0.80/0.92 [539]~P32(x5391)+~P7(f43(x5392,x5391),f3(x5391),x5391)
% 0.80/0.92 [540]P5(x5401,x5402,a48)+~P7(x5401,f45(x5402),a48)
% 0.80/0.92 [541]P7(x5411,x5412,a48)+~P7(f45(x5411),x5412,a48)
% 0.80/0.92 [543]P7(x5431,x5432,a48)+~P5(f45(x5431),x5432,a48)
% 0.80/0.92 [544]P5(x5441,x5442,a48)+~P5(f45(x5441),x5442,a48)
% 0.80/0.92 [552]~P7(x5521,x5522,a48)+P7(f45(x5521),f45(x5522),a48)
% 0.80/0.92 [553]~P5(x5531,x5532,a48)+P5(f45(x5531),f45(x5532),a48)
% 0.80/0.92 [566]P7(x5661,x5662,a48)+~P7(f45(x5661),f45(x5662),a48)
% 0.80/0.92 [567]P5(x5671,x5672,a48)+~P5(f45(x5671),f45(x5672),a48)
% 0.80/0.92 [582]~P7(x5821,x5822,a48)+~P7(x5822,f45(x5821),a48)
% 0.80/0.92 [583]~P5(x5831,x5832,a48)+~P5(f45(x5832),x5831,a48)
% 0.80/0.92 [647]~P7(x6472,x6471,a48)+P7(f3(a48),f4(x6471,x6472,a48),a48)
% 0.80/0.92 [676]P7(x6761,x6762,a48)+~P7(f3(a48),f4(x6762,x6761,a48),a48)
% 0.80/0.92 [427]E(x4271,f16(x4272))+~E(f15(x4271,f51(x4272)),f3(a48))
% 0.80/0.92 [430]E(x4301,f16(x4302))+E(f25(f30(x4301,x4302),x4302),f27(x4301,x4302))
% 0.80/0.92 [431]E(x4311,f16(x4312))+E(f27(f30(x4311,x4312),x4312),f25(x4311,x4312))
% 0.80/0.92 [434]~P3(x4342)+E(f36(f30(x4341,x4342),x4342),f36(x4341,x4342))
% 0.80/0.92 [440]~P3(x4401)+E(f44(f44(f7(x4401),x4402),f3(x4401)),x4402)
% 0.80/0.92 [441]~P34(x4411)+E(f44(f44(f7(x4411),x4412),f3(x4411)),x4412)
% 0.80/0.92 [442]~P22(x4421)+E(f44(f44(f7(x4421),x4422),f3(x4421)),x4422)
% 0.80/0.92 [443]~P2(x4432)+E(f4(x4431,f3(x4432),x4432),x4431)
% 0.80/0.92 [444]~P33(x4442)+E(f46(x4441,f3(a48),x4442),f6(x4442))
% 0.80/0.92 [445]~P34(x4452)+E(f46(x4451,f3(a48),x4452),f6(x4452))
% 0.80/0.92 [446]~P20(x4461)+E(f46(f6(x4461),x4462,x4461),f6(x4461))
% 0.80/0.92 [455]E(x4551,f16(x4552))+E(f33(x4551,f3(a48),x4552),f25(x4551,x4552))
% 0.80/0.92 [479]E(x4791,f16(x4792))+P7(f3(a48),f15(x4791,f51(x4792)),a48)
% 0.80/0.92 [509]~P41(x5091)+E(f44(f44(f7(x5091),f6(x5091)),f43(x5092,x5091)),f43(f45(x5092),x5091))
% 0.80/0.92 [531]~P27(x5312)+P10(f28(x5311,f16(x5312),x5312),x5312)
% 0.80/0.92 [580]~P32(x5802)+P7(x5801,f44(f44(f7(x5802),x5801),f6(x5802)),x5802)
% 0.80/0.92 [633]~P43(f44(f44(a10,x6331),x6332))+P43(f44(f44(a10,f12(x6331)),f12(x6332)))
% 0.80/0.92 [645]~P5(x6452,x6451,a48)+E(f4(x6451,f4(x6451,x6452,a48),a48),x6452)
% 0.80/0.92 [650]~P5(x6502,x6501,a48)+E(f45(f4(x6501,x6502,a48)),f4(f45(x6501),x6502,a48))
% 0.80/0.92 [652]~P7(f3(a48),x6521,a48)+P7(f4(x6521,f45(x6522),a48),x6521,a48)
% 0.80/0.92 [845]~P22(x8451)+E(f26(f7(x8451),f3(x8451),x8452,x8451,x8451),f36(x8452,x8451))
% 0.80/0.92 [447]~P3(x4471)+E(f44(f44(f7(x4471),f3(x4471)),x4472),x4472)
% 0.80/0.92 [449]~P34(x4491)+E(f44(f44(f7(x4491),f3(x4491)),x4492),x4492)
% 0.80/0.92 [450]~P22(x4501)+E(f44(f44(f7(x4501),f3(x4501)),x4502),x4502)
% 0.80/0.92 [523]~P7(x5231,x5232,a48)+E(f44(f44(a21,f2(x5231)),x5232),f2(x5231))
% 0.80/0.92 [623]~P43(f44(a8,x6231))+P43(f44(a8,f44(f44(a21,x6231),x6232)))
% 0.80/0.92 [643]~P43(f44(a8,x6431))+P43(f44(a8,f44(f44(a9,x6431),f2(x6432))))
% 0.80/0.92 [651]E(x6511,f16(x6512))+E(f19(f18(x6511,x6512),f28(f27(x6511,x6512),f16(x6512),x6512),x6512),x6511)
% 0.80/0.92 [877]~P8(a8,x8772,a50)+P43(f44(a8,f26(a9,f2(x8771),x8772,a50,a50)))
% 0.80/0.92 [461]E(x4611,x4612)+~P6(x4611,x4612,x4613)
% 0.80/0.92 [428]E(x4281,x4282)+~E(f30(x4281,x4283),f30(x4282,x4283))
% 0.80/0.92 [465]~E(f19(x4653,x4651,x4652),x4653)+E(x4651,f16(x4652))
% 0.80/0.92 [466]~E(f19(x4661,x4663,x4662),x4663)+E(x4661,f16(x4662))
% 0.80/0.92 [473]~E(f31(x4731,x4732,x4733),f16(x4733))+E(x4731,f3(a48))
% 0.80/0.92 [477]~E(f19(x4773,x4771,x4772),f16(x4772))+E(x4771,f16(x4772))
% 0.80/0.92 [478]~E(f19(x4781,x4783,x4782),f16(x4782))+E(x4781,f16(x4782))
% 0.80/0.92 [484]P12(x4841,x4842,x4843)+~P43(f44(x4842,x4841))
% 0.80/0.92 [492]~P11(x4921,f2(x4922),x4923)+E(f44(x4921,x4922),x4923)
% 0.80/0.92 [503]~P12(x5032,x5031,x5033)+P43(f44(x5031,x5032))
% 0.80/0.92 [644]~P7(x6441,x6443,a48)+P7(f4(x6441,x6442,a48),x6443,a48)
% 0.80/0.92 [702]~P5(x7021,x7023,a48)+P5(f4(x7021,x7022,a48),f4(x7023,x7022,a48),a48)
% 0.80/0.92 [703]~P5(x7033,x7032,a48)+P5(f4(x7031,x7032,a48),f4(x7031,x7033,a48),a48)
% 0.80/0.92 [854]~E(f2(x8542),f26(a9,x8543,x8541,a50,a50))+E(x8541,f16(a50))
% 0.80/0.92 [855]~E(f12(x8552),f26(a9,x8553,x8551,a50,a50))+E(x8551,f16(a50))
% 0.80/0.92 [856]~E(f26(a9,x8562,x8561,a50,a50),f12(x8563))+E(x8561,f16(a50))
% 0.80/0.92 [857]E(x8571,f12(x8572))+~E(f26(a9,x8571,x8573,a50,a50),f12(x8572))
% 0.80/0.92 [858]E(f2(x8581),x8582)+~E(f2(x8581),f26(a9,x8582,x8583,a50,a50))
% 0.80/0.92 [859]E(f12(x8591),x8592)+~E(f12(x8591),f26(a9,x8592,x8593,a50,a50))
% 0.80/0.92 [869]E(x8691,x8692)+~E(f26(a9,x8691,x8693,a50,a50),f26(a9,x8692,x8693,a50,a50))
% 0.80/0.92 [517]E(x5171,f3(a48))+E(f25(f31(x5171,x5172,x5173),x5173),x5172)
% 0.80/0.92 [518]E(x5181,f3(a48))+E(f27(f31(x5181,x5182,x5183),x5183),x5182)
% 0.80/0.92 [528]E(x5281,f16(x5282))+E(f27(f19(x5283,x5281,x5282),x5282),f27(x5281,x5282))
% 0.80/0.92 [529]E(x5291,f16(x5292))+E(f27(f28(x5293,x5291,x5292),x5292),f27(x5291,x5292))
% 0.80/0.92 [530]E(x5301,f16(x5302))+E(f25(f19(x5301,x5303,x5302),x5302),f25(x5301,x5302))
% 0.80/0.92 [585]~E(f30(x5851,x5853),f28(x5852,f16(x5853),x5853))+E(x5851,f28(x5852,f16(x5853),x5853))
% 0.80/0.92 [586]~E(f28(x5862,f16(x5863),x5863),f30(x5861,x5863))+E(x5861,f28(x5862,f16(x5863),x5863))
% 0.80/0.92 [603]~E(f24(x6033,x6031,x6032),f16(x6032))+P5(f15(x6031,f51(x6032)),x6033,a48)
% 0.80/0.92 [610]E(f40(x6101,x6102,x6103),x6102)+~P5(f15(x6102,f51(x6103)),x6101,a48)
% 0.80/0.92 [612]E(f24(x6121,x6122,x6123),f16(x6123))+~P5(f15(x6122,f51(x6123)),x6121,a48)
% 0.80/0.92 [614]~P22(x6141)+E(f44(f44(f7(x6141),x6142),f36(x6143,x6141)),f36(f28(x6142,x6143,x6141),x6141))
% 0.80/0.92 [615]E(x6151,f16(x6152))+E(f19(x6153,f18(x6151,x6152),x6152),f18(f19(x6153,x6151,x6152),x6152))
% 0.80/0.92 [616]E(x6161,f16(x6162))+E(f28(x6163,f18(x6161,x6162),x6162),f18(f28(x6163,x6161,x6162),x6162))
% 0.80/0.92 [625]~P12(x6253,f37(x6251,x6252),x6252)+P7(f3(a48),f15(x6251,f51(x6252)),a48)
% 0.80/0.92 [632]P12(x6321,f37(x6322,x6323),x6323)+E(f17(f28(x6321,x6322,x6323),x6323),f45(f17(x6322,x6323)))
% 0.80/0.92 [653]~P22(x6531)+E(f44(f44(f7(x6531),f36(x6532,x6531)),f36(x6533,x6531)),f36(f19(x6532,x6533,x6531),x6531))
% 0.80/0.92 [657]~P12(x6571,f37(x6572,x6573),x6573)+E(f17(f28(x6571,x6572,x6573),x6573),f17(x6572,x6573))
% 0.80/0.92 [669]~P7(x6691,f15(x6692,f51(x6693)),a48)+E(f27(f24(x6691,x6692,x6693),x6693),f27(x6692,x6693))
% 0.80/0.92 [670]~P7(x6701,f15(x6702,f51(x6703)),a48)+E(f40(x6701,f18(x6702,x6703),x6703),f40(x6701,x6702,x6703))
% 0.80/0.92 [672]P12(x6721,f37(x6722,x6723),x6723)+~P12(x6721,f37(f18(x6722,x6723),x6723),x6723)
% 0.80/0.92 [698]P12(f33(x6981,x6982,x6983),f37(x6981,x6983),x6983)+~P7(x6982,f15(x6981,f51(x6983)),a48)
% 0.80/0.92 [860]E(f44(f44(a9,x8601),x8602),x8603)+~E(f44(f44(a9,x8601),x8602),f26(a9,x8603,f16(a50),a50,a50))
% 0.80/0.92 [890]~P43(f44(f44(a10,x8901),x8903))+P43(f44(f44(a10,f26(a9,x8901,x8902,a50,a50)),f26(a9,x8903,x8902,a50,a50)))
% 0.80/0.92 [891]~P9(a10,x8912,x8913,a50)+P43(f44(f44(a10,f26(a9,x8911,x8912,a50,a50)),f26(a9,x8911,x8913,a50,a50)))
% 0.80/0.92 [493]~P3(x4931)+E(f44(f44(f7(x4931),x4932),x4933),f44(f44(f7(x4931),x4933),x4932))
% 0.80/0.92 [495]~P34(x4951)+E(f44(f44(f7(x4951),x4952),x4953),f44(f44(f7(x4951),x4953),x4952))
% 0.80/0.92 [634]P12(f3(a48),x6343,a48)+E(f41(f28(x6341,f16(x6342),x6342),x6343,x6342),f16(x6342))
% 0.80/0.92 [667]~P2(x6671)+E(f44(f44(f7(x6671),f4(x6672,x6673,x6671)),x6673),x6672)
% 0.80/0.92 [688]~P12(f3(a48),x6883,a48)+E(f41(f28(x6881,f16(x6882),x6882),x6883,x6882),f28(x6881,f16(x6882),x6882))
% 0.80/0.92 [767]~P7(x7673,f15(x7671,f51(x7672)),a48)+E(f33(x7671,f4(f15(x7671,f51(x7672)),f45(x7673),a48),x7672),f33(f30(x7671,x7672),x7673,x7672))
% 0.80/0.92 [768]~P7(x7682,f15(x7681,f51(x7683)),a48)+E(f28(f33(x7681,x7682,x7683),f24(f45(x7682),x7681,x7683),x7683),f24(x7682,x7681,x7683))
% 0.80/0.92 [806]~P43(f44(f44(a10,x8061),x8063))+P43(f44(f44(a10,f44(f44(a9,x8061),x8062)),f44(f44(a9,x8063),x8062)))
% 0.80/0.92 [807]~P43(f44(f44(a10,x8072),x8073))+P43(f44(f44(a10,f44(f44(a9,x8071),x8072)),f44(f44(a9,x8071),x8073)))
% 0.80/0.92 [808]~P43(f44(f44(a10,x8081),x8083))+P43(f44(f44(a10,f44(f44(a21,x8081),x8082)),f44(f44(a21,x8083),x8082)))
% 0.80/0.92 [815]~P7(x8151,f15(x8152,f51(x8153)),a48)+E(f19(f40(x8151,x8152,x8153),f28(f33(x8152,x8151,x8153),f16(x8153),x8153),x8153),f40(f45(x8151),x8152,x8153))
% 0.80/0.92 [838]~P7(x8381,f15(x8382,f51(x8383)),a48)+E(f19(f40(x8381,x8382,x8383),f28(f25(f24(x8381,x8382,x8383),x8383),f16(x8383),x8383),x8383),f40(f45(x8381),x8382,x8383))
% 0.80/0.92 [868]~P22(x8681)+E(f44(f44(f7(x8681),x8682),f26(f7(x8681),f3(x8681),x8683,x8681,x8681)),f26(f7(x8681),x8682,x8683,x8681,x8681))
% 0.80/0.92 [569]~P2(x5691)+E(f4(f44(f44(f7(x5691),x5692),x5693),x5693,x5691),x5692)
% 0.80/0.92 [609]~P7(x6091,x6093,a48)+E(f44(f44(f44(a20,f2(x6091)),x6092),x6093),f2(x6091))
% 0.80/0.92 [733]~E(f40(f15(x7331,f51(x7332)),x7333,x7332),x7331)+E(f19(x7331,f24(f15(x7331,f51(x7332)),x7333,x7332),x7332),x7333)
% 0.80/0.92 [758]~P43(f44(a8,x7581))+P43(f44(a8,f44(f44(f44(a20,x7581),f2(x7582)),x7583)))
% 0.80/0.92 [832]~P7(x8321,f15(x8322,f51(x8323)),a48)+E(f19(f40(x8321,x8322,x8323),f28(f33(x8322,x8321,x8323),f24(f45(x8321),x8322,x8323),x8323),x8323),x8322)
% 0.80/0.92 [863]~P7(f15(f42(x8631,x8632,x8633),f51(x8633)),f15(x8632,f51(x8633)),a48)+~P43(f44(x8631,f33(x8632,f15(f42(x8631,x8632,x8633),f51(x8633)),x8633)))
% 0.80/0.92 [865]~E(f26(a9,f44(f44(a9,x8651),x8652),x8653,a50,a50),x8651)+E(f26(a9,f44(f44(a9,x8651),x8652),f19(x8653,f28(x8652,f16(a50),a50),a50),a50,a50),f44(f44(a9,x8651),x8652))
% 0.80/0.92 [892]P9(a10,x8921,f23(x8922,x8921,x8923),a50)+~P43(f44(f44(a10,f26(a9,f2(x8922),x8921,a50,a50)),x8923))
% 0.80/0.92 [893]E(f26(a9,f2(x8931),f23(x8931,x8932,x8933),a50,a50),x8933)+~P43(f44(f44(a10,f26(a9,f2(x8931),x8932,a50,a50)),x8933))
% 0.80/0.92 [573]E(x5731,x5732)+~E(f19(x5733,x5731,x5734),f19(x5733,x5732,x5734))
% 0.80/0.92 [574]E(x5741,x5742)+~E(f19(x5741,x5743,x5744),f19(x5742,x5743,x5744))
% 0.80/0.92 [678]P8(x6781,x6782,x6783)+~P8(x6781,f19(x6784,x6782,x6783),x6783)
% 0.80/0.92 [679]P8(x6791,x6792,x6793)+~P8(x6791,f19(x6792,x6794,x6793),x6793)
% 0.80/0.92 [738]~E(f34(x7383,x7381,x7382,x7384),f16(x7384))+E(x7381,f16(x7382))
% 0.80/0.92 [739]~E(f35(x7391,x7393,x7394,x7392),f16(x7392))+E(x7391,f16(x7392))
% 0.80/0.92 [510]E(x5101,x5102)+~E(f44(f44(a9,x5103),x5101),f44(f44(a9,x5104),x5102))
% 0.80/0.92 [511]E(x5111,x5112)+~E(f44(f44(a9,x5111),x5113),f44(f44(a9,x5112),x5114))
% 0.80/0.92 [606]P43(f44(x6061,x6062))+E(f42(x6061,f28(x6062,x6063,x6064),x6064),f16(x6064))
% 0.80/0.92 [618]~E(f11(x6184,a48),f3(a48))+E(f33(f28(x6181,x6182,x6183),f11(x6184,a48),x6183),x6181)
% 0.80/0.92 [622]~E(f11(x6221,a48),f3(a48))+E(f40(f11(x6221,a48),f28(x6222,x6223,x6224),x6224),f16(x6224))
% 0.80/0.92 [649]~P7(x6494,x6491,a48)+E(f33(f31(x6491,x6492,x6493),x6494,x6493),x6492)
% 0.80/0.92 [658]~E(f11(x6581,a48),f3(a48))+E(f24(f11(x6581,a48),f28(x6582,x6583,x6584),x6584),f28(x6582,x6583,x6584))
% 0.80/0.92 [675]~P7(x6754,x6751,a48)+E(f33(f40(x6751,x6752,x6753),x6754,x6753),f33(x6752,x6754,x6753))
% 0.80/0.92 [719]~P7(x7194,f15(x7191,f51(x7193)),a48)+E(f33(f19(x7191,x7192,x7193),x7194,x7193),f33(x7191,x7194,x7193))
% 0.80/0.92 [728]~P43(f44(x7281,x7282))+E(f42(x7281,f28(x7282,x7283,x7284),x7284),f28(x7282,f42(x7281,x7283,x7284),x7284))
% 0.80/0.92 [735]E(f35(x7351,x7352,x7353,x7354),x7351)+~P5(f15(x7351,f51(x7354)),x7352,a48)
% 0.80/0.92 [761]E(x7611,x7612)+~P12(x7611,f37(f31(x7613,x7612,x7614),x7614),x7614)
% 0.80/0.92 [771]~P12(x7712,f37(f42(x7711,x7713,x7714),x7714),x7714)+P43(f44(x7711,x7712))
% 0.80/0.92 [783]P12(x7831,f37(x7832,x7833),x7833)+~P12(x7831,f37(f40(x7834,x7832,x7833),x7833),x7833)
% 0.80/0.92 [784]P12(x7841,f37(x7842,x7843),x7843)+~P12(x7841,f37(f24(x7844,x7842,x7843),x7843),x7843)
% 0.80/0.92 [785]P12(x7851,f37(x7852,x7853),x7853)+~P12(x7851,f37(f42(x7854,x7852,x7853),x7853),x7853)
% 0.80/0.92 [786]P12(x7861,f37(x7862,x7863),x7863)+~P12(x7861,f37(f41(x7862,x7864,x7863),x7863),x7863)
% 0.80/0.92 [813]~P7(x8132,f15(x8131,f51(x8134)),a48)+E(f33(f35(x8131,x8132,x8133,x8134),x8132,x8134),x8133)
% 0.80/0.92 [814]E(f33(f42(x8141,x8142,x8143),x8144,x8143),f33(x8142,x8144,x8143))+~P7(x8144,f15(f42(x8141,x8142,x8143),f51(x8143)),a48)
% 0.80/0.92 [843]P12(x8431,f37(f35(x8432,x8433,x8431,x8434),x8434),x8434)+~P7(x8433,f15(x8432,f51(x8434)),a48)
% 0.80/0.92 [846]~P27(x8464)+E(f29(x8461,x8462,f16(x8463),x8463,x8464),f28(x8462,f16(x8463),x8463))
% 0.80/0.92 [871]E(x8711,x8712)+~E(f26(a9,f2(x8713),x8711,a50,a50),f26(a9,f2(x8714),x8712,a50,a50))
% 0.80/0.92 [872]E(x8721,x8722)+~E(f26(a9,f12(x8723),x8721,a50,a50),f26(a9,f12(x8724),x8722,a50,a50))
% 0.80/0.92 [873]E(x8731,x8732)+~E(f26(a9,f2(x8731),x8733,a50,a50),f26(a9,f2(x8732),x8734,a50,a50))
% 0.80/0.92 [874]E(x8741,x8742)+~E(f26(a9,f12(x8741),x8743,a50,a50),f26(a9,f12(x8742),x8744,a50,a50))
% 0.80/0.92 [677]~E(f30(x6771,x6773),f28(x6774,x6772,x6773))+E(x6771,f19(f30(x6772,x6773),f28(x6774,f16(x6773),x6773),x6773))
% 0.80/0.92 [820]~P12(x8201,f37(f18(x8203,x8204),x8204),x8204)+P12(x8201,f37(f18(f19(x8202,x8203,x8204),x8204),x8204),x8204)
% 0.80/0.92 [821]~P12(x8211,f37(f18(x8212,x8214),x8214),x8214)+P12(x8211,f37(f18(f19(x8212,x8213,x8214),x8214),x8214),x8214)
% 0.80/0.92 [681]~P3(x6811)+E(f44(f44(f7(x6811),x6812),f44(f44(f7(x6811),x6813),x6814)),f44(f44(f7(x6811),x6813),f44(f44(f7(x6811),x6812),x6814)))
% 0.80/0.92 [682]~P34(x6821)+E(f44(f44(f7(x6821),x6822),f44(f44(f7(x6821),x6823),x6824)),f44(f44(f7(x6821),x6823),f44(f44(f7(x6821),x6822),x6824)))
% 0.80/0.92 [683]~P13(x6831)+E(f44(f44(f7(x6831),x6832),f44(f44(f7(x6831),x6833),x6834)),f44(f44(f7(x6831),x6833),f44(f44(f7(x6831),x6832),x6834)))
% 0.80/0.92 [770]P7(x7702,f15(x7703,f51(x7704)),a48)+E(f33(x7701,f4(x7702,f15(x7703,f51(x7704)),a48),x7704),f33(f19(x7703,x7701,x7704),x7702,x7704))
% 0.80/0.92 [833]~P7(x8331,f15(x8332,f51(x8333)),a48)+E(f19(f40(x8331,x8332,x8333),f28(x8334,f24(f45(x8331),x8332,x8333),x8333),x8333),f35(x8332,x8331,x8334,x8333))
% 0.80/0.92 [844]~P43(f44(f44(a10,x8441),x8444))+P43(f44(f44(a10,f44(f44(f44(a20,x8441),x8442),x8443)),f44(f44(f44(a20,x8444),x8442),x8443)))
% 0.80/0.92 [870]~P30(x8701)+E(f26(f7(x8701),f44(f44(f7(x8701),x8702),x8703),x8704,x8701,x8701),f44(f44(f7(x8701),x8702),f26(f7(x8701),x8703,x8704,x8701,x8701)))
% 0.80/0.92 [744]~P3(x7441)+E(f44(f44(f7(x7441),f44(f44(f7(x7441),x7442),x7443)),x7444),f44(f44(f7(x7441),x7442),f44(f44(f7(x7441),x7443),x7444)))
% 0.80/0.92 [745]~P34(x7451)+E(f44(f44(f7(x7451),f44(f44(f7(x7451),x7452),x7453)),x7454),f44(f44(f7(x7451),x7452),f44(f44(f7(x7451),x7453),x7454)))
% 0.80/0.92 [746]~P19(x7461)+E(f44(f44(f7(x7461),f44(f44(f7(x7461),x7462),x7463)),x7464),f44(f44(f7(x7461),x7462),f44(f44(f7(x7461),x7463),x7464)))
% 0.80/0.92 [778]~P34(x7781)+E(f44(f44(f7(x7781),f44(f44(f7(x7781),x7782),x7783)),x7784),f44(f44(f7(x7781),f44(f44(f7(x7781),x7782),x7784)),x7783))
% 0.80/0.92 [572]E(x5721,x5722)+~E(f28(x5723,x5721,x5724),f28(x5725,x5722,x5724))
% 0.80/0.92 [575]E(x5751,x5752)+~E(f28(x5751,x5753,x5754),f28(x5752,x5755,x5754))
% 0.80/0.92 [576]E(x5761,x5762)+~E(f31(x5761,x5763,x5764),f31(x5762,x5765,x5764))
% 0.80/0.92 [627]~E(f24(x6272,x6271,x6273),f28(x6274,x6275,x6273))+E(f33(x6271,x6272,x6273),x6274)
% 0.80/0.92 [828]~P9(x8281,x8282,x8285,x8284)+P9(x8281,f19(x8282,x8283,x8284),f19(x8285,x8283,x8284),x8284)
% 0.80/0.92 [829]~P9(x8291,x8293,x8295,x8294)+P9(x8291,f19(x8292,x8293,x8294),f19(x8292,x8295,x8294),x8294)
% 0.80/0.92 [830]~P9(x8301,x8303,x8305,x8304)+P9(x8301,f28(x8302,x8303,x8304),f28(x8302,x8305,x8304),x8304)
% 0.80/0.92 [801]P9(x8011,f28(x8012,x8013,x8014),f28(x8015,x8013,x8014),x8014)+~P43(f44(f44(x8011,x8012),x8015))
% 0.80/0.92 [802]E(x8021,x8022)+E(f33(f35(x8023,x8021,x8024,x8025),x8022,x8025),f33(x8023,x8022,x8025))
% 0.80/0.92 [826]~P7(x8265,f15(x8262,f51(x8263)),a48)+E(f33(f34(x8261,x8262,x8263,x8264),x8265,x8264),f44(x8261,f33(x8262,x8265,x8263)))
% 0.80/0.92 [827]~E(f34(x8274,x8271,x8272,x8275),f34(x8274,x8273,x8272,x8275))+E(f15(x8271,f51(x8272)),f15(x8273,f51(x8272)))
% 0.80/0.92 [841]~P7(x8414,f15(x8411,f51(x8413)),a48)+E(f35(f19(x8411,x8412,x8413),x8414,x8415,x8413),f19(f35(x8411,x8414,x8415,x8413),x8412,x8413))
% 0.80/0.92 [759]P43(f44(x7591,x7593))+E(f42(x7591,f19(x7592,f28(x7593,x7594,x7595),x7595),x7595),f42(x7591,x7592,x7595))
% 0.80/0.92 [789]E(x7891,x7892)+~E(f19(x7893,f28(x7891,f16(x7894),x7894),x7894),f19(x7895,f28(x7892,f16(x7894),x7894),x7894))
% 0.80/0.92 [790]E(x7901,x7902)+~E(f19(x7901,f28(x7903,f16(x7904),x7904),x7904),f19(x7902,f28(x7905,f16(x7904),x7904),x7904))
% 0.80/0.92 [862]~P27(x8625)+E(f15(f29(x8621,x8622,x8623,x8624,x8625),f51(x8624)),f45(f15(x8623,f51(x8624))))
% 0.80/0.92 [882]P43(f44(x8821,f44(x8822,x8823)))+~P43(f44(x8821,f14(x8824,x8825,x8822,f12(x8823),a47)))
% 0.80/0.92 [884]P43(f44(x8841,f44(x8842,x8843)))+~P43(f44(x8841,f14(x8842,x8844,x8845,f2(x8843),a47)))
% 0.80/0.92 [816]~P34(x8161)+E(f44(f44(f7(x8161),f44(f44(f7(x8161),x8162),x8163)),f44(f44(f7(x8161),x8164),x8165)),f44(f44(f7(x8161),f44(f44(f7(x8161),x8162),x8164)),f44(f44(f7(x8161),x8163),x8165)))
% 0.80/0.92 [847]P7(x8473,f15(x8471,f51(x8474)),a48)+E(f19(x8471,f35(x8472,f4(x8473,f15(x8471,f51(x8474)),a48),x8475,x8474),x8474),f35(f19(x8471,x8472,x8474),x8473,x8475,x8474))
% 0.80/0.92 [849]E(x8491,x8492)+E(f35(f35(x8493,x8491,x8494,x8495),x8492,x8496,x8495),f35(f35(x8493,x8492,x8496,x8495),x8491,x8494,x8495))
% 0.80/0.92 [887]P43(f44(x8871,f44(f44(x8872,x8873),x8874)))+~P43(f44(x8871,f14(x8875,x8872,x8876,f44(f44(a9,x8873),x8874),a47)))
% 0.80/0.92 [604]~P28(x6041)+~P5(f3(x6041),f3(x6041),x6041)+E(f44(f44(f7(x6041),f3(x6041)),f3(x6041)),f3(x6041))
% 0.80/0.92 [491]E(x4911,x4912)+P7(x4912,x4911,a48)+P7(x4911,x4912,a48)
% 0.80/0.92 [527]E(x5271,x5272)+P7(x5271,x5272,a48)+~P5(x5271,x5272,a48)
% 0.80/0.92 [571]E(x5711,x5712)+~P5(x5712,x5711,a48)+~P5(x5711,x5712,a48)
% 0.80/0.92 [451]~P35(x4512)+~P14(x4512)+E(f4(x4511,x4511,x4512),f3(x4512))
% 0.80/0.92 [547]~P7(x5471,x5472,a48)+E(f45(x5471),x5472)+P7(f45(x5471),x5472,a48)
% 0.80/0.92 [548]E(x5481,x5482)+P7(x5482,x5481,a48)+~P7(x5482,f45(x5481),a48)
% 0.80/0.92 [550]E(x5501,x5502)+P7(x5501,x5502,a48)+~P7(x5501,f45(x5502),a48)
% 0.80/0.92 [565]P5(x5651,x5652,a48)+E(x5651,f45(x5652))+~P5(x5651,f45(x5652),a48)
% 0.80/0.92 [581]E(x5811,x5812)+~E(f4(x5812,x5811,a48),f3(a48))+~E(f4(x5811,x5812,a48),f3(a48))
% 0.80/0.92 [587]E(x5871,x5872)+~P5(x5872,x5871,a48)+~P7(x5871,f45(x5872),a48)
% 0.80/0.92 [602]~P32(x6021)+P7(f3(x6021),f43(x6022,x6021),x6021)+~P7(f3(a48),x6022,a48)
% 0.80/0.92 [611]~P32(x6112)+~P7(f3(x6112),f43(x6111,x6112),x6112)+P7(f3(a48),x6111,a48)
% 0.80/0.92 [700]P7(f4(x7001,x7002,a48),x7001,a48)+~P7(f3(a48),x7002,a48)+~P7(f3(a48),x7001,a48)
% 0.80/0.92 [452]~P35(x4521)+~P14(x4521)+E(f44(f44(f7(x4521),x4522),f3(x4521)),x4522)
% 0.80/0.92 [460]~P39(x4601)+~P33(x4601)+E(f46(f3(x4601),f45(x4602),x4601),f3(x4601))
% 0.80/0.92 [480]~P21(x4802)+E(x4801,f3(x4802))+~E(f44(f44(f7(x4802),x4801),x4801),f3(x4802))
% 0.80/0.92 [659]~P21(x6591)+~P7(f3(x6591),x6592,x6591)+P7(f3(x6591),f44(f44(f7(x6591),x6592),x6592),x6591)
% 0.80/0.92 [660]~P21(x6601)+~P5(f3(x6601),x6602,x6601)+P5(f3(x6601),f44(f44(f7(x6601),x6602),x6602),x6601)
% 0.80/0.92 [661]~P21(x6611)+~P7(x6612,f3(x6611),x6611)+P7(f44(f44(f7(x6611),x6612),x6612),f3(x6611),x6611)
% 0.80/0.92 [662]~P38(x6621)+~P7(x6622,f3(x6621),x6621)+P7(f44(f44(f7(x6621),x6622),x6622),f3(x6621),x6621)
% 0.80/0.92 [663]~P21(x6631)+~P5(x6632,f3(x6631),x6631)+P5(f44(f44(f7(x6631),x6632),x6632),f3(x6631),x6631)
% 0.80/0.92 [690]~P21(x6902)+P7(x6901,f3(x6902),x6902)+~P7(f44(f44(f7(x6902),x6901),x6901),f3(x6902),x6902)
% 0.80/0.92 [691]~P38(x6912)+P7(x6911,f3(x6912),x6912)+~P7(f44(f44(f7(x6912),x6911),x6911),f3(x6912),x6912)
% 0.80/0.92 [692]~P21(x6922)+P5(x6921,f3(x6922),x6922)+~P5(f44(f44(f7(x6922),x6921),x6921),f3(x6922),x6922)
% 0.80/0.92 [693]~P21(x6931)+P7(f3(x6931),x6932,x6931)+~P7(f3(x6931),f44(f44(f7(x6931),x6932),x6932),x6931)
% 0.80/0.92 [694]~P21(x6941)+P5(f3(x6941),x6942,x6941)+~P5(f3(x6941),f44(f44(f7(x6941),x6942),x6942),x6941)
% 0.80/0.92 [506]P5(x5062,x5061,x5063)+~P27(x5063)+P7(x5061,x5062,x5063)
% 0.80/0.92 [508]P5(x5082,x5081,x5083)+~P27(x5083)+P5(x5081,x5082,x5083)
% 0.80/0.92 [545]~P23(x5453)+~P7(x5451,x5452,x5453)+P5(x5451,x5452,x5453)
% 0.80/0.92 [546]~P24(x5463)+~P7(x5461,x5462,x5463)+P5(x5461,x5462,x5463)
% 0.80/0.92 [589]~P7(x5893,x5892,x5891)+~P23(x5891)+~P7(x5892,x5893,x5891)
% 0.80/0.92 [590]~P5(x5903,x5902,x5901)+~P23(x5901)+~P7(x5902,x5903,x5901)
% 0.80/0.92 [591]~P7(x5913,x5912,x5911)+~P24(x5911)+~P7(x5912,x5913,x5911)
% 0.80/0.92 [592]~P7(x5923,x5922,x5921)+~P27(x5921)+~P7(x5922,x5923,x5921)
% 0.80/0.92 [594]~P5(x5943,x5942,x5941)+~P27(x5941)+~P7(x5942,x5943,x5941)
% 0.80/0.92 [624]~P5(x6241,x6243,a48)+P5(x6241,x6242,a48)+~P5(x6243,x6242,a48)
% 0.80/0.92 [429]~P16(x4293)+E(x4291,x4292)+~E(f43(x4291,x4293),f43(x4292,x4293))
% 0.80/0.92 [481]~E(f40(x4813,x4811,x4812),f16(x4812))+E(x4811,f16(x4812))+E(x4813,f3(a48))
% 0.80/0.92 [482]~P2(x4823)+E(x4821,x4822)+~E(f4(x4821,x4822,x4823),f3(x4823))
% 0.80/0.92 [483]~P13(x4833)+E(x4831,x4832)+~E(f4(x4831,x4832,x4833),f3(x4833))
% 0.80/0.92 [486]~P40(x4862)+~E(f46(x4861,x4863,x4862),f3(x4862))+E(x4861,f3(x4862))
% 0.80/0.92 [562]~P27(x5623)+~P10(x5622,x5623)+P10(f40(x5621,x5622,x5623),x5623)
% 0.80/0.92 [563]~P27(x5633)+~P10(x5632,x5633)+P10(f24(x5631,x5632,x5633),x5633)
% 0.80/0.92 [564]~P27(x5643)+~P10(x5642,x5643)+P10(f42(x5641,x5642,x5643),x5643)
% 0.80/0.92 [607]~P32(x6072)+~P7(x6071,x6073,a48)+P7(f43(x6071,x6072),f43(x6073,x6072),x6072)
% 0.80/0.92 [608]~P32(x6082)+~P5(x6081,x6083,a48)+P5(f43(x6081,x6082),f43(x6083,x6082),x6082)
% 0.80/0.92 [619]~P27(x6192)+P10(x6191,x6192)+~P10(f19(x6193,x6191,x6192),x6192)
% 0.80/0.92 [620]~P27(x6202)+P10(x6201,x6202)+~P10(f19(x6201,x6203,x6202),x6202)
% 0.80/0.92 [621]~P27(x6212)+P10(x6211,x6212)+~P10(f28(x6213,x6211,x6212),x6212)
% 0.80/0.92 [628]~P7(x6281,x6283,a48)+~P7(x6283,x6282,a48)+P7(f45(x6281),x6282,a48)
% 0.80/0.92 [630]~P32(x6303)+~P7(f43(x6301,x6303),f43(x6302,x6303),x6303)+P7(x6301,x6302,a48)
% 0.80/0.92 [631]~P32(x6313)+~P5(f43(x6311,x6313),f43(x6312,x6313),x6313)+P5(x6311,x6312,a48)
% 0.80/0.92 [655]~P1(x6553)+~P7(x6551,x6552,x6553)+P7(f4(x6551,x6552,x6553),f3(x6553),x6553)
% 0.80/0.92 [656]~P1(x6563)+~P5(x6561,x6562,x6563)+P5(f4(x6561,x6562,x6563),f3(x6563),x6563)
% 0.80/0.92 [664]~P32(x6641)+~P7(f3(x6641),x6642,x6641)+P7(f3(x6641),f46(x6642,x6643,x6641),x6641)
% 0.80/0.92 [665]~P32(x6651)+~P5(f3(x6651),x6652,x6651)+P5(f3(x6651),f46(x6652,x6653,x6651),x6651)
% 0.80/0.92 [666]~P32(x6661)+~P5(f6(x6661),x6662,x6661)+P5(f6(x6661),f46(x6662,x6663,x6661),x6661)
% 0.80/0.92 [695]~P1(x6953)+P7(x6951,x6952,x6953)+~P7(f4(x6951,x6952,x6953),f3(x6953),x6953)
% 0.80/0.92 [696]~P1(x6963)+P5(x6961,x6962,x6963)+~P5(f4(x6961,x6962,x6963),f3(x6963),x6963)
% 0.80/0.92 [747]~P7(x7471,x7473,a48)+~P5(x7472,x7471,a48)+P7(f4(x7471,x7472,a48),f4(x7473,x7472,a48),a48)
% 0.80/0.92 [748]~P7(x7483,x7482,a48)+~P7(x7483,x7481,a48)+P7(f4(x7481,x7482,a48),f4(x7481,x7483,a48),a48)
% 0.80/0.92 [671]~P32(x6711)+~P7(f6(x6711),x6712,x6711)+P7(f6(x6711),f46(x6712,f45(x6713),x6711),x6711)
% 0.80/0.92 [680]~P31(x6802)+~P5(x6803,x6801,a48)+E(f4(f43(x6801,x6802),f43(x6803,x6802),x6802),f43(f4(x6801,x6803,a48),x6802))
% 0.80/0.92 [689]E(x6891,f16(x6892))+~P7(x6893,f15(x6891,f51(x6892)),a48)+E(f25(f24(x6893,x6891,x6892),x6892),f33(x6891,x6893,x6892))
% 0.80/0.92 [769]~P5(x7692,x7693,a48)+~P5(x7692,x7691,a48)+E(f4(f4(x7691,x7692,a48),f4(x7693,x7692,a48),a48),f4(x7691,x7693,a48))
% 0.80/0.92 [772]~P7(x7722,x7723,a48)+~P43(f44(x7721,f4(x7722,x7723,a48)))+P43(f44(x7721,f3(a48)))
% 0.80/0.92 [570]E(x5701,x5702)+P7(x5702,x5701,a48)+E(f44(f44(f44(a20,f2(x5701)),x5703),x5702),f2(x5701))
% 0.80/0.92 [889]~P43(f44(a8,x8892))+~P43(f44(a8,f26(a9,f44(f44(f44(a20,x8891),x8892),f3(a48)),x8893,a50,a50)))+P43(f44(a8,f26(a9,f44(f44(a9,f12(x8891)),x8892),x8893,a50,a50)))
% 0.80/0.92 [596]~P13(x5964)+E(x5961,x5962)+~E(f4(x5963,x5963,x5964),f4(x5961,x5962,x5964))
% 0.80/0.92 [597]~P13(x5973)+E(x5971,x5972)+~E(f4(x5971,x5972,x5973),f4(x5974,x5974,x5973))
% 0.80/0.92 [646]~P8(x6461,x6463,x6464)+~P12(x6462,f37(x6463,x6464),x6464)+P43(f44(x6461,x6462))
% 0.80/0.92 [648]~P12(x6482,f37(x6483,x6484),x6484)+~E(f42(x6481,x6483,x6484),x6483)+P43(f44(x6481,x6482))
% 0.80/0.92 [699]~P8(x6991,x6993,x6994)+~P8(x6991,x6992,x6994)+P8(x6991,f19(x6992,x6993,x6994),x6994)
% 0.80/0.92 [654]P11(x6541,x6542,x6543)+~P11(x6541,x6544,x6543)+~P43(f44(f44(a10,x6544),x6542))
% 0.80/0.92 [787]E(x7871,x7872)+P12(x7871,f37(x7873,x7874),x7874)+~P12(x7871,f37(f28(x7872,x7873,x7874),x7874),x7874)
% 0.80/0.92 [799]~P27(x7993)+P5(x7991,x7992,x7993)+~P10(f28(x7991,f28(x7992,x7994,x7993),x7993),x7993)
% 0.80/0.92 [800]~E(f35(x8001,x8002,x8004,x8003),x8001)+E(f33(x8001,x8002,x8003),x8004)+~P7(x8002,f15(x8001,f51(x8003)),a48)
% 0.80/0.92 [818]E(f42(x8181,x8182,x8183),f40(x8184,x8182,x8183))+P7(f39(x8181,x8184,x8182,x8183),x8184,a48)+P7(x8184,f15(x8182,f51(x8183)),a48)
% 0.80/0.92 [822]E(f42(x8221,x8222,x8223),f40(x8224,x8222,x8223))+P7(x8224,f15(x8222,f51(x8223)),a48)+P7(f39(x8221,x8224,x8222,x8223),f15(x8222,f51(x8223)),a48)
% 0.80/0.92 [834]E(f42(x8341,x8342,x8343),f40(x8344,x8342,x8343))+P7(f39(x8341,x8344,x8342,x8343),x8344,a48)+P43(f44(x8341,f33(x8342,x8344,x8343)))
% 0.80/0.92 [837]E(f42(x8371,x8372,x8373),f40(x8374,x8372,x8373))+P7(f39(x8371,x8374,x8372,x8373),f15(x8372,f51(x8373)),a48)+P43(f44(x8371,f33(x8372,x8374,x8373)))
% 0.80/0.92 [866]E(x8661,f16(a50))+E(f26(a9,x8662,f22(x8663,x8664,x8662,x8661),a50,a50),x8663)+~E(f44(f44(a9,x8663),x8664),f26(a9,x8662,x8661,a50,a50))
% 0.80/0.92 [577]~P17(x5773)+E(x5771,x5772)+~E(f44(f44(f7(x5773),x5774),x5771),f44(f44(f7(x5773),x5774),x5772))
% 0.80/0.92 [578]~P18(x5783)+E(x5781,x5782)+~E(f44(f44(f7(x5783),x5784),x5781),f44(f44(f7(x5783),x5784),x5782))
% 0.80/0.92 [579]~P17(x5793)+E(x5791,x5792)+~E(f44(f44(f7(x5793),x5791),x5794),f44(f44(f7(x5793),x5792),x5794))
% 0.80/0.92 [706]~P26(x7061)+~P7(x7062,x7064,x7061)+P7(f44(f44(f7(x7061),x7062),x7063),f44(f44(f7(x7061),x7064),x7063),x7061)
% 0.80/0.92 [707]~P29(x7071)+~P7(x7072,x7074,x7071)+P7(f44(f44(f7(x7071),x7072),x7073),f44(f44(f7(x7071),x7074),x7073),x7071)
% 0.80/0.92 [708]~P26(x7081)+~P7(x7083,x7084,x7081)+P7(f44(f44(f7(x7081),x7082),x7083),f44(f44(f7(x7081),x7082),x7084),x7081)
% 0.80/0.92 [709]~P29(x7091)+~P7(x7093,x7094,x7091)+P7(f44(f44(f7(x7091),x7092),x7093),f44(f44(f7(x7091),x7092),x7094),x7091)
% 0.80/0.92 [710]~P25(x7101)+~P5(x7102,x7104,x7101)+P5(f44(f44(f7(x7101),x7102),x7103),f44(f44(f7(x7101),x7104),x7103),x7101)
% 0.80/0.92 [711]~P26(x7111)+~P5(x7112,x7114,x7111)+P5(f44(f44(f7(x7111),x7112),x7113),f44(f44(f7(x7111),x7114),x7113),x7111)
% 0.80/0.92 [712]~P25(x7121)+~P5(x7123,x7124,x7121)+P5(f44(f44(f7(x7121),x7122),x7123),f44(f44(f7(x7121),x7122),x7124),x7121)
% 0.80/0.92 [713]~P26(x7131)+~P5(x7133,x7134,x7131)+P5(f44(f44(f7(x7131),x7132),x7133),f44(f44(f7(x7131),x7132),x7134),x7131)
% 0.80/0.92 [763]~P26(x7633)+P7(x7631,x7632,x7633)+~P7(f44(f44(f7(x7633),x7634),x7631),f44(f44(f7(x7633),x7634),x7632),x7633)
% 0.80/0.92 [764]~P26(x7643)+P7(x7641,x7642,x7643)+~P7(f44(f44(f7(x7643),x7641),x7644),f44(f44(f7(x7643),x7642),x7644),x7643)
% 0.80/0.92 [765]~P26(x7653)+P5(x7651,x7652,x7653)+~P5(f44(f44(f7(x7653),x7654),x7651),f44(f44(f7(x7653),x7654),x7652),x7653)
% 0.80/0.92 [766]~P26(x7663)+P5(x7661,x7662,x7663)+~P5(f44(f44(f7(x7663),x7661),x7664),f44(f44(f7(x7663),x7662),x7664),x7663)
% 0.80/0.92 [864]E(x8641,f16(a50))+~E(f44(f44(a9,x8642),x8643),f26(a9,x8644,x8641,a50,a50))+E(f19(f22(x8642,x8643,x8644,x8641),f28(x8643,f16(a50),a50),a50),x8641)
% 0.80/0.92 [867]E(f42(x8671,x8672,x8673),f40(x8674,x8672,x8673))+P7(x8674,f15(x8672,f51(x8673)),a48)+~P43(f44(x8671,f33(x8672,f39(x8671,x8674,x8672,x8673),x8673)))
% 0.80/0.92 [875]E(f42(x8751,x8752,x8753),f40(x8754,x8752,x8753))+P43(f44(x8751,f33(x8752,x8754,x8753)))+~P43(f44(x8751,f33(x8752,f39(x8751,x8754,x8752,x8753),x8753)))
% 0.80/0.92 [831]P5(f15(x8313,f51(x8312)),f15(x8311,f51(x8312)),a48)+~E(f40(f15(x8311,f51(x8312)),x8313,x8312),x8311)+E(f19(x8311,f19(f24(f15(x8311,f51(x8312)),x8313,x8312),x8314,x8312),x8312),f19(x8313,x8314,x8312))
% 0.80/0.92 [836]~P5(f15(x8361,f51(x8362)),f15(x8363,f51(x8362)),a48)+~E(f40(f15(x8361,f51(x8362)),x8363,x8362),x8361)+E(f19(x8361,f19(f24(f15(x8361,f51(x8362)),x8363,x8362),x8364,x8362),x8362),f19(x8363,x8364,x8362))
% 0.80/0.92 [584]E(x5841,x5842)+~E(f31(x5843,x5841,x5844),f31(x5845,x5842,x5844))+E(x5843,f3(a48))
% 0.80/0.92 [740]~P12(x7405,f37(x7403,x7404),x7404)+~P7(x7401,f44(x7402,x7405),a48)+P7(x7401,f32(x7402,x7403,x7404),a48)
% 0.80/0.92 [741]~P12(x7415,f37(x7413,x7414),x7414)+~P5(x7411,f44(x7412,x7415),a48)+P5(x7411,f32(x7412,x7413,x7414),a48)
% 0.80/0.92 [729]~P12(x7295,f37(x7292,x7294),x7294)+E(f42(x7291,f19(x7292,x7293,x7294),x7294),f42(x7291,x7292,x7294))+P43(f44(x7291,x7295))
% 0.80/0.92 [879]~P27(x8795)+~P10(f34(x8791,x8793,x8794,x8795),x8795)+P10(f34(x8791,f29(x8791,x8792,x8793,x8794,x8795),x8794,x8795),x8795)
% 0.80/0.92 [885]E(x8851,x8852)+~P11(x8853,f26(a9,f2(x8854),x8855,a50,a50),x8851)+~P11(x8853,f26(a9,f2(x8854),x8855,a50,a50),x8852)
% 0.80/0.92 [888]~P27(x8884)+P10(f34(x8881,x8882,x8883,x8884),x8884)+~P10(f34(x8881,f29(x8881,x8885,x8882,x8883,x8884),x8883,x8884),x8884)
% 0.80/0.92 [736]~E(f19(x7363,x7364,x7362),f19(x7361,x7365,x7362))+P5(f15(x7363,f51(x7362)),f15(x7361,f51(x7362)),a48)+E(f40(f15(x7361,f51(x7362)),x7363,x7362),x7361)
% 0.80/0.92 [762]~E(f19(x7621,x7624,x7622),f19(x7623,x7625,x7622))+~P5(f15(x7621,f51(x7622)),f15(x7623,f51(x7622)),a48)+E(f40(f15(x7621,f51(x7622)),x7623,x7622),x7621)
% 0.80/0.92 [732]~P13(x7321)+E(f44(f44(f7(x7321),x7322),x7323),x7324)+~E(f44(f44(f7(x7321),x7322),f44(f44(f7(x7321),x7325),x7323)),f44(f44(f7(x7321),x7325),x7324))
% 0.80/0.92 [781]~E(f19(x7813,x7814,x7812),f19(x7811,x7815,x7812))+P5(f15(x7813,f51(x7812)),f15(x7811,f51(x7812)),a48)+E(f19(f24(f15(x7811,f51(x7812)),x7813,x7812),x7814,x7812),x7815)
% 0.80/0.92 [803]~E(f19(x8032,x8031,x8033),f19(x8034,x8035,x8033))+~P5(f15(x8032,f51(x8033)),f15(x8034,f51(x8033)),a48)+E(x8031,f19(f24(f15(x8032,f51(x8033)),x8034,x8033),x8035,x8033))
% 0.80/0.92 [817]E(x8171,x8172)+E(x8173,x8174)+~P9(x8175,f28(x8174,x8172,x8176),f28(x8173,x8171,x8176),x8176)
% 0.80/0.92 [835]~P12(x8352,f37(x8354,x8355),x8355)+E(f44(x8351,x8352),f44(x8353,x8352))+~E(f34(x8351,x8354,x8355,x8356),f34(x8353,x8354,x8355,x8356))
% 0.80/0.92 [839]E(x8391,x8392)+P9(x8393,x8391,x8392,x8394)+~P9(x8393,f28(x8395,x8391,x8394),f28(x8396,x8392,x8394),x8394)
% 0.80/0.92 [825]E(x8251,x8252)+~P9(x8253,f28(x8252,x8254,x8255),f28(x8251,x8256,x8255),x8255)+P43(f44(f44(x8253,x8252),x8251))
% 0.80/0.92 [842]P9(x8421,x8422,x8423,x8424)+~P9(x8421,f28(x8425,x8422,x8424),f28(x8426,x8423,x8424),x8424)+P43(f44(f44(x8421,x8425),x8426))
% 0.80/0.92 [851]~P27(x8516)+~P5(f44(x8511,x8512),f44(x8511,x8513),x8516)+E(f29(x8511,x8512,f28(x8513,x8514,x8515),x8515,x8516),f28(x8512,f28(x8513,x8514,x8515),x8515))
% 0.80/0.92 [876]~P27(x8766)+P5(f44(x8761,x8762),f44(x8761,x8763),x8766)+E(f29(x8761,x8762,f28(x8763,x8764,x8765),x8765,x8766),f28(x8763,f29(x8761,x8762,x8764,x8765,x8766),x8765))
% 0.80/0.92 [848]E(x8481,x8482)+E(x8483,x8484)+~P9(x8485,f19(x8483,f28(x8481,f16(x8486),x8486),x8486),f19(x8484,f28(x8482,f16(x8486),x8486),x8486),x8486)
% 0.80/0.92 [850]E(x8501,x8502)+~P9(x8503,f19(x8504,f28(x8501,f16(x8505),x8505),x8505),f19(x8506,f28(x8502,f16(x8505),x8505),x8505),x8505)+P43(f44(f44(x8503,x8501),x8502))
% 0.80/0.92 [852]E(x8521,x8522)+P9(x8523,x8521,x8522,x8524)+~P9(x8523,f19(x8521,f28(x8525,f16(x8524),x8524),x8524),f19(x8522,f28(x8526,f16(x8524),x8524),x8524),x8524)
% 0.80/0.92 [853]P9(x8531,x8532,x8533,x8534)+~P9(x8531,f19(x8532,f28(x8535,f16(x8534),x8534),x8534),f19(x8533,f28(x8536,f16(x8534),x8534),x8534),x8534)+P43(f44(f44(x8531,x8535),x8536))
% 0.80/0.92 [459]~P39(x4592)+~P33(x4592)+E(x4591,f3(a48))+E(f46(f3(x4592),x4591,x4592),f3(x4592))
% 0.80/0.92 [515]P7(x5151,x5152,x5153)+~P27(x5153)+E(x5151,x5152)+P7(x5152,x5151,x5153)
% 0.80/0.92 [516]P7(x5161,x5162,x5163)+~P38(x5163)+E(x5161,x5162)+P7(x5162,x5161,x5163)
% 0.80/0.92 [559]~P24(x5593)+~P5(x5591,x5592,x5593)+E(x5591,x5592)+P7(x5591,x5592,x5593)
% 0.80/0.92 [561]~P27(x5613)+~P5(x5611,x5612,x5613)+E(x5611,x5612)+P7(x5611,x5612,x5613)
% 0.80/0.92 [601]~P5(x6012,x6011,x6013)+~P5(x6011,x6012,x6013)+E(x6011,x6012)+~P24(x6013)
% 0.80/0.92 [613]P5(x6132,x6131,x6133)+~P23(x6133)+~P5(x6131,x6132,x6133)+P7(x6131,x6132,x6133)
% 0.80/0.92 [433]~P14(x4333)+~P15(x4333)+E(x4331,x4332)+~E(f11(x4331,x4333),f11(x4332,x4333))
% 0.80/0.92 [489]~P35(x4893)+~P14(x4893)+E(x4891,x4892)+~E(f4(x4891,x4892,x4893),f3(x4893))
% 0.80/0.92 [701]E(x7011,x7012)+~P5(x7013,x7012,a48)+~P5(x7013,x7011,a48)+~E(f4(x7011,x7013,a48),f4(x7012,x7013,a48))
% 0.80/0.92 [718]~P32(x7181)+~P7(f6(x7181),x7182,x7181)+P7(f6(x7181),f46(x7182,x7183,x7181),x7181)+~P7(f3(a48),x7183,a48)
% 0.80/0.92 [809]~P5(x8093,x8091,a48)+P7(x8091,x8092,a48)+~P5(x8093,x8092,a48)+~P7(f4(x8091,x8093,a48),f4(x8092,x8093,a48),a48)
% 0.80/0.92 [810]~P5(x8103,x8101,a48)+P5(x8101,x8102,a48)+~P5(x8103,x8102,a48)+~P5(f4(x8101,x8103,a48),f4(x8102,x8103,a48),a48)
% 0.80/0.92 [730]~P32(x7303)+~P7(x7301,f6(x7303),x7303)+~P7(f3(x7303),x7301,x7303)+P7(f46(x7301,f45(x7302),x7303),f6(x7303),x7303)
% 0.80/0.92 [485]~P35(x4852)+~P14(x4852)+E(x4851,f3(x4852))+~E(f44(f44(f7(x4852),x4853),x4851),x4853)
% 0.80/0.92 [720]~P28(x7201)+~P7(f3(x7201),x7203,x7201)+~P7(f3(x7201),x7202,x7201)+P7(f3(x7201),f44(f44(f7(x7201),x7202),x7203),x7201)
% 0.80/0.92 [721]~P28(x7211)+~P7(f3(x7211),x7213,x7211)+~P5(f3(x7211),x7212,x7211)+P7(f3(x7211),f44(f44(f7(x7211),x7212),x7213),x7211)
% 0.80/0.92 [722]~P28(x7221)+~P7(f3(x7221),x7222,x7221)+~P5(f3(x7221),x7223,x7221)+P7(f3(x7221),f44(f44(f7(x7221),x7222),x7223),x7221)
% 0.80/0.92 [723]~P28(x7231)+~P5(f3(x7231),x7233,x7231)+~P5(f3(x7231),x7232,x7231)+P5(f3(x7231),f44(f44(f7(x7231),x7232),x7233),x7231)
% 0.80/0.92 [724]~P28(x7241)+~P7(x7243,f3(x7241),x7241)+~P7(x7242,f3(x7241),x7241)+P7(f44(f44(f7(x7241),x7242),x7243),f3(x7241),x7241)
% 0.80/0.92 [725]~P28(x7251)+~P7(x7253,f3(x7251),x7251)+~P5(x7252,f3(x7251),x7251)+P7(f44(f44(f7(x7251),x7252),x7253),f3(x7251),x7251)
% 0.80/0.92 [726]~P28(x7261)+~P7(x7262,f3(x7261),x7261)+~P5(x7263,f3(x7261),x7261)+P7(f44(f44(f7(x7261),x7262),x7263),f3(x7261),x7261)
% 0.80/0.92 [727]~P28(x7271)+~P5(x7273,f3(x7271),x7271)+~P5(x7272,f3(x7271),x7271)+P5(f44(f44(f7(x7271),x7272),x7273),f3(x7271),x7271)
% 0.80/0.92 [635]~P23(x6353)+~P7(x6351,x6354,x6353)+P7(x6351,x6352,x6353)+~P7(x6354,x6352,x6353)
% 0.80/0.92 [636]~P23(x6363)+~P5(x6361,x6364,x6363)+P7(x6361,x6362,x6363)+~P7(x6364,x6362,x6363)
% 0.80/0.92 [637]~P23(x6373)+~P5(x6374,x6372,x6373)+P7(x6371,x6372,x6373)+~P7(x6371,x6374,x6373)
% 0.80/0.92 [638]~P24(x6383)+~P7(x6381,x6384,x6383)+P7(x6381,x6382,x6383)+~P7(x6384,x6382,x6383)
% 0.80/0.92 [639]~P24(x6393)+~P5(x6391,x6394,x6393)+P7(x6391,x6392,x6393)+~P7(x6394,x6392,x6393)
% 0.80/0.92 [640]~P24(x6403)+~P5(x6404,x6402,x6403)+P7(x6401,x6402,x6403)+~P7(x6401,x6404,x6403)
% 0.80/0.92 [641]~P23(x6413)+~P5(x6411,x6414,x6413)+P5(x6411,x6412,x6413)+~P5(x6414,x6412,x6413)
% 0.80/0.92 [642]~P24(x6423)+~P5(x6421,x6424,x6423)+P5(x6421,x6422,x6423)+~P5(x6424,x6422,x6423)
% 0.80/0.92 [668]~P32(x6684)+E(x6681,x6682)+~P7(f6(x6684),x6683,x6684)+~E(f46(x6683,x6681,x6684),f46(x6683,x6682,x6684))
% 0.80/0.92 [731]~P27(x7313)+P5(x7311,x7312,x7313)+~P12(x7312,f37(x7314,x7313),x7313)+~P10(f28(x7311,x7314,x7313),x7313)
% 0.80/0.92 [754]~P32(x7543)+~P7(x7542,x7544,a48)+~P7(f6(x7543),x7541,x7543)+P7(f46(x7541,x7542,x7543),f46(x7541,x7544,x7543),x7543)
% 0.80/0.92 [755]~P32(x7553)+~P5(x7552,x7554,a48)+~P7(f6(x7553),x7551,x7553)+P5(f46(x7551,x7552,x7553),f46(x7551,x7554,x7553),x7553)
% 0.80/0.92 [756]~P32(x7563)+~P5(x7562,x7564,a48)+~P5(f6(x7563),x7561,x7563)+P5(f46(x7561,x7562,x7563),f46(x7561,x7564,x7563),x7563)
% 0.80/0.92 [757]~P32(x7573)+~P5(x7571,x7574,x7573)+~P5(f3(x7573),x7571,x7573)+P5(f46(x7571,x7572,x7573),f46(x7574,x7572,x7573),x7573)
% 0.80/0.92 [795]~P32(x7953)+~P7(f46(x7954,x7951,x7953),f46(x7954,x7952,x7953),x7953)+P7(x7951,x7952,a48)+~P7(f6(x7953),x7954,x7953)
% 0.80/0.92 [797]~P32(x7973)+~P5(f46(x7974,x7971,x7973),f46(x7974,x7972,x7973),x7973)+P5(x7971,x7972,a48)+~P7(f6(x7973),x7974,x7973)
% 0.80/0.92 [798]~P32(x7983)+P7(x7981,x7982,x7983)+~P5(f3(x7983),x7982,x7983)+~P7(f46(x7981,x7984,x7983),f46(x7982,x7984,x7983),x7983)
% 0.80/0.92 [804]~P32(x8043)+P5(x8041,x8042,x8043)+~P5(f3(x8043),x8042,x8043)+~P5(f46(x8041,f45(x8044),x8043),f46(x8042,f45(x8044),x8043),x8043)
% 0.80/0.92 [805]~P27(x8054)+~P5(x8051,x8052,x8054)+~P10(f28(x8052,x8053,x8054),x8054)+P10(f28(x8051,f28(x8052,x8053,x8054),x8054),x8054)
% 0.80/0.92 [598]~P35(x5983)+~P14(x5983)+E(x5981,x5982)+~E(f44(f44(f7(x5983),x5984),x5981),f44(f44(f7(x5983),x5984),x5982))
% 0.80/0.92 [704]~P32(x7042)+~P7(x7041,x7044,x7042)+~P7(f3(x7042),x7043,x7042)+P7(x7041,f44(f44(f7(x7042),x7043),x7044),x7042)
% 0.80/0.92 [861]~E(f40(f15(x8611,f51(x8612)),x8613,x8612),x8611)+~E(f40(f15(x8613,f51(x8612)),x8611,x8612),x8613)+~E(f19(f24(f15(x8613,f51(x8612)),x8611,x8612),f19(f24(f15(x8611,f51(x8612)),x8613,x8612),x8614,x8612),x8612),x8614)+E(f19(x8611,f19(f24(f15(x8611,f51(x8612)),x8613,x8612),x8614,x8612),x8612),f19(x8613,x8614,x8612))
% 0.80/0.92 [684]~P1(x6843)+~P7(x6844,x6845,x6843)+P7(x6841,x6842,x6843)+~E(f4(x6844,x6845,x6843),f4(x6841,x6842,x6843))
% 0.80/0.92 [685]~P1(x6853)+~P7(x6854,x6855,x6853)+P7(x6851,x6852,x6853)+~E(f4(x6851,x6852,x6853),f4(x6854,x6855,x6853))
% 0.80/0.92 [686]~P1(x6863)+~P5(x6865,x6864,x6863)+P5(x6861,x6862,x6863)+~E(f4(x6864,x6865,x6863),f4(x6862,x6861,x6863))
% 0.80/0.92 [687]~P1(x6873)+~P5(x6875,x6874,x6873)+P5(x6871,x6872,x6873)+~E(f4(x6872,x6871,x6873),f4(x6874,x6875,x6873))
% 0.80/0.92 [749]~P29(x7491)+~P7(x7493,x7495,x7491)+~P7(x7492,x7494,x7491)+P7(f44(f44(f7(x7491),x7492),x7493),f44(f44(f7(x7491),x7494),x7495),x7491)
% 0.80/0.92 [750]~P29(x7501)+~P7(x7503,x7505,x7501)+~P5(x7502,x7504,x7501)+P7(f44(f44(f7(x7501),x7502),x7503),f44(f44(f7(x7501),x7504),x7505),x7501)
% 0.80/0.92 [751]~P29(x7511)+~P7(x7512,x7514,x7511)+~P5(x7513,x7515,x7511)+P7(f44(f44(f7(x7511),x7512),x7513),f44(f44(f7(x7511),x7514),x7515),x7511)
% 0.80/0.92 [752]~P25(x7521)+~P5(x7523,x7525,x7521)+~P5(x7522,x7524,x7521)+P5(f44(f44(f7(x7521),x7522),x7523),f44(f44(f7(x7521),x7524),x7525),x7521)
% 0.80/0.92 [773]~P1(x7732)+~P5(x7735,x7734,x7732)+~P5(x7731,f44(f44(f7(x7732),x7733),x7735),x7732)+P5(x7731,f44(f44(f7(x7732),x7733),x7734),x7732)
% 0.80/0.92 [519]~P33(x5192)+~P42(x5192)+~P36(x5192)+~P37(x5192)+~E(f46(x5191,f3(a48),x5192),f3(x5192))
% 0.80/0.92 [673]~P28(x6732)+~P5(f3(x6732),x6731,x6732)+~P5(f3(x6732),x6733,x6732)+E(x6731,f3(x6732))+~E(f44(f44(f7(x6732),x6733),x6731),f3(x6732))
% 0.80/0.92 [674]~P28(x6742)+~P5(f3(x6742),x6743,x6742)+~P5(f3(x6742),x6741,x6742)+E(x6741,f3(x6742))+~E(f44(f44(f7(x6742),x6741),x6743),f3(x6742))
% 0.80/0.92 [788]~P32(x7883)+~P7(x7881,x7884,x7883)+~P5(f3(x7883),x7881,x7883)+P7(f46(x7881,x7882,x7883),f46(x7884,x7882,x7883),x7883)+~P7(f3(a48),x7882,a48)
% 0.80/0.92 [791]~P32(x7913)+~P7(x7914,x7912,a48)+~P7(x7911,f6(x7913),x7913)+~P7(f3(x7913),x7911,x7913)+P7(f46(x7911,x7912,x7913),f46(x7911,x7914,x7913),x7913)
% 0.80/0.92 [792]~P32(x7923)+~P5(x7924,x7922,a48)+~P5(x7921,f6(x7923),x7923)+~P5(f3(x7923),x7921,x7923)+P5(f46(x7921,x7922,x7923),f46(x7921,x7924,x7923),x7923)
% 0.80/0.92 [734]~P32(x7344)+E(x7341,x7342)+~P5(f3(x7344),x7342,x7344)+~P5(f3(x7344),x7341,x7344)+~E(f46(x7341,f45(x7343),x7344),f46(x7342,f45(x7343),x7344))
% 0.80/0.92 [780]~P27(x7803)+~P10(x7801,x7803)+~P5(x7802,x7804,a48)+P5(f33(x7801,x7802,x7803),f33(x7801,x7804,x7803),x7803)+~P7(x7804,f15(x7801,f51(x7803)),a48)
% 0.80/0.92 [793]~P27(x7933)+~P5(x7934,x7932,a48)+P5(f33(x7931,x7932,x7933),f33(x7931,x7934,x7933),x7933)+~P10(f30(x7931,x7933),x7933)+~P7(x7932,f15(x7931,f51(x7933)),a48)
% 0.80/0.92 [714]~P26(x7142)+~P3(x7142)+~P7(x7141,x7144,x7142)+~P5(f3(x7142),x7143,x7142)+P7(x7141,f44(f44(f7(x7142),x7143),x7144),x7142)
% 0.80/0.92 [715]~P26(x7152)+~P3(x7152)+~P5(x7151,x7154,x7152)+~P7(f3(x7152),x7153,x7152)+P7(x7151,f44(f44(f7(x7152),x7153),x7154),x7152)
% 0.80/0.92 [716]~P26(x7162)+~P3(x7162)+~P5(x7161,x7164,x7162)+~P5(f3(x7162),x7163,x7162)+P5(x7161,f44(f44(f7(x7162),x7163),x7164),x7162)
% 0.80/0.92 [717]~P26(x7172)+~P3(x7172)+~P5(x7171,x7173,x7172)+~P5(f3(x7172),x7174,x7172)+P5(x7171,f44(f44(f7(x7172),x7173),x7174),x7172)
% 0.80/0.92 [775]~P27(x7753)+P5(x7751,x7752,x7753)+~P12(x7752,f37(x7755,x7753),x7753)+~P12(x7751,f37(x7754,x7753),x7753)+~P10(f19(x7754,x7755,x7753),x7753)
% 0.80/0.92 [474]~P33(x4742)+~P42(x4742)+~P36(x4742)+~P37(x4742)+E(x4741,f3(a48))+E(f46(f3(x4742),x4741,x4742),f3(x4742))
% 0.80/0.92 [520]~P33(x5202)+~P42(x5202)+~P36(x5202)+~P37(x5202)+~E(f46(x5201,x5203,x5202),f3(x5202))+E(x5201,f3(x5202))
% 0.80/0.92 [760]~P32(x7604)+E(x7601,x7602)+~P5(f3(x7604),x7602,x7604)+~P5(f3(x7604),x7601,x7604)+~E(f46(x7601,x7603,x7604),f46(x7602,x7603,x7604))+~P7(f3(a48),x7603,a48)
% 0.80/0.92 %EqnAxiom
% 0.80/0.92 [1]E(x11,x11)
% 0.80/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.92 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.80/0.92 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.80/0.92 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.80/0.92 [7]~E(x71,x72)+E(f44(x71,x73),f44(x72,x73))
% 0.80/0.92 [8]~E(x81,x82)+E(f44(x83,x81),f44(x83,x82))
% 0.80/0.92 [9]~E(x91,x92)+E(f15(x91,x93),f15(x92,x93))
% 0.80/0.92 [10]~E(x101,x102)+E(f15(x103,x101),f15(x103,x102))
% 0.80/0.92 [11]~E(x111,x112)+E(f19(x111,x113,x114),f19(x112,x113,x114))
% 0.80/0.92 [12]~E(x121,x122)+E(f19(x123,x121,x124),f19(x123,x122,x124))
% 0.80/0.92 [13]~E(x131,x132)+E(f19(x133,x134,x131),f19(x133,x134,x132))
% 0.80/0.92 [14]~E(x141,x142)+E(f16(x141),f16(x142))
% 0.80/0.92 [15]~E(x151,x152)+E(f17(x151,x153),f17(x152,x153))
% 0.80/0.92 [16]~E(x161,x162)+E(f17(x163,x161),f17(x163,x162))
% 0.80/0.92 [17]~E(x171,x172)+E(f28(x171,x173,x174),f28(x172,x173,x174))
% 0.80/0.92 [18]~E(x181,x182)+E(f28(x183,x181,x184),f28(x183,x182,x184))
% 0.80/0.92 [19]~E(x191,x192)+E(f28(x193,x194,x191),f28(x193,x194,x192))
% 0.80/0.92 [20]~E(x201,x202)+E(f4(x201,x203,x204),f4(x202,x203,x204))
% 0.80/0.92 [21]~E(x211,x212)+E(f4(x213,x211,x214),f4(x213,x212,x214))
% 0.80/0.92 [22]~E(x221,x222)+E(f4(x223,x224,x221),f4(x223,x224,x222))
% 0.80/0.92 [23]~E(x231,x232)+E(f30(x231,x233),f30(x232,x233))
% 0.80/0.92 [24]~E(x241,x242)+E(f30(x243,x241),f30(x243,x242))
% 0.80/0.92 [25]~E(x251,x252)+E(f36(x251,x253),f36(x252,x253))
% 0.80/0.92 [26]~E(x261,x262)+E(f36(x263,x261),f36(x263,x262))
% 0.80/0.92 [27]~E(x271,x272)+E(f40(x271,x273,x274),f40(x272,x273,x274))
% 0.80/0.92 [28]~E(x281,x282)+E(f40(x283,x281,x284),f40(x283,x282,x284))
% 0.80/0.92 [29]~E(x291,x292)+E(f40(x293,x294,x291),f40(x293,x294,x292))
% 0.80/0.92 [30]~E(x301,x302)+E(f7(x301),f7(x302))
% 0.80/0.92 [31]~E(x311,x312)+E(f26(x311,x313,x314,x315,x316),f26(x312,x313,x314,x315,x316))
% 0.80/0.92 [32]~E(x321,x322)+E(f26(x323,x321,x324,x325,x326),f26(x323,x322,x324,x325,x326))
% 0.80/0.92 [33]~E(x331,x332)+E(f26(x333,x334,x331,x335,x336),f26(x333,x334,x332,x335,x336))
% 0.80/0.92 [34]~E(x341,x342)+E(f26(x343,x344,x345,x341,x346),f26(x343,x344,x345,x342,x346))
% 0.80/0.92 [35]~E(x351,x352)+E(f26(x353,x354,x355,x356,x351),f26(x353,x354,x355,x356,x352))
% 0.80/0.92 [36]~E(x361,x362)+E(f33(x361,x363,x364),f33(x362,x363,x364))
% 0.80/0.92 [37]~E(x371,x372)+E(f33(x373,x371,x374),f33(x373,x372,x374))
% 0.80/0.92 [38]~E(x381,x382)+E(f33(x383,x384,x381),f33(x383,x384,x382))
% 0.80/0.92 [39]~E(x391,x392)+E(f18(x391,x393),f18(x392,x393))
% 0.80/0.92 [40]~E(x401,x402)+E(f18(x403,x401),f18(x403,x402))
% 0.80/0.92 [41]~E(x411,x412)+E(f46(x411,x413,x414),f46(x412,x413,x414))
% 0.80/0.92 [42]~E(x421,x422)+E(f46(x423,x421,x424),f46(x423,x422,x424))
% 0.80/0.92 [43]~E(x431,x432)+E(f46(x433,x434,x431),f46(x433,x434,x432))
% 0.80/0.92 [44]~E(x441,x442)+E(f42(x441,x443,x444),f42(x442,x443,x444))
% 0.80/0.92 [45]~E(x451,x452)+E(f42(x453,x451,x454),f42(x453,x452,x454))
% 0.80/0.92 [46]~E(x461,x462)+E(f42(x463,x464,x461),f42(x463,x464,x462))
% 0.80/0.92 [47]~E(x471,x472)+E(f35(x471,x473,x474,x475),f35(x472,x473,x474,x475))
% 0.80/0.92 [48]~E(x481,x482)+E(f35(x483,x481,x484,x485),f35(x483,x482,x484,x485))
% 0.80/0.92 [49]~E(x491,x492)+E(f35(x493,x494,x491,x495),f35(x493,x494,x492,x495))
% 0.80/0.92 [50]~E(x501,x502)+E(f35(x503,x504,x505,x501),f35(x503,x504,x505,x502))
% 0.80/0.92 [51]~E(x511,x512)+E(f51(x511),f51(x512))
% 0.80/0.92 [52]~E(x521,x522)+E(f14(x521,x523,x524,x525,x526),f14(x522,x523,x524,x525,x526))
% 0.80/0.92 [53]~E(x531,x532)+E(f14(x533,x531,x534,x535,x536),f14(x533,x532,x534,x535,x536))
% 0.80/0.92 [54]~E(x541,x542)+E(f14(x543,x544,x541,x545,x546),f14(x543,x544,x542,x545,x546))
% 0.80/0.92 [55]~E(x551,x552)+E(f14(x553,x554,x555,x551,x556),f14(x553,x554,x555,x552,x556))
% 0.80/0.92 [56]~E(x561,x562)+E(f14(x563,x564,x565,x566,x561),f14(x563,x564,x565,x566,x562))
% 0.80/0.92 [57]~E(x571,x572)+E(f45(x571),f45(x572))
% 0.80/0.92 [58]~E(x581,x582)+E(f6(x581),f6(x582))
% 0.80/0.92 [59]~E(x591,x592)+E(f24(x591,x593,x594),f24(x592,x593,x594))
% 0.80/0.92 [60]~E(x601,x602)+E(f24(x603,x601,x604),f24(x603,x602,x604))
% 0.80/0.92 [61]~E(x611,x612)+E(f24(x613,x614,x611),f24(x613,x614,x612))
% 0.80/0.92 [62]~E(x621,x622)+E(f12(x621),f12(x622))
% 0.80/0.92 [63]~E(x631,x632)+E(f11(x631,x633),f11(x632,x633))
% 0.80/0.92 [64]~E(x641,x642)+E(f11(x643,x641),f11(x643,x642))
% 0.80/0.92 [65]~E(x651,x652)+E(f37(x651,x653),f37(x652,x653))
% 0.80/0.92 [66]~E(x661,x662)+E(f37(x663,x661),f37(x663,x662))
% 0.80/0.92 [67]~E(x671,x672)+E(f27(x671,x673),f27(x672,x673))
% 0.80/0.92 [68]~E(x681,x682)+E(f27(x683,x681),f27(x683,x682))
% 0.80/0.92 [69]~E(x691,x692)+E(f29(x691,x693,x694,x695,x696),f29(x692,x693,x694,x695,x696))
% 0.80/0.92 [70]~E(x701,x702)+E(f29(x703,x701,x704,x705,x706),f29(x703,x702,x704,x705,x706))
% 0.80/0.92 [71]~E(x711,x712)+E(f29(x713,x714,x711,x715,x716),f29(x713,x714,x712,x715,x716))
% 0.80/0.92 [72]~E(x721,x722)+E(f29(x723,x724,x725,x721,x726),f29(x723,x724,x725,x722,x726))
% 0.80/0.92 [73]~E(x731,x732)+E(f29(x733,x734,x735,x736,x731),f29(x733,x734,x735,x736,x732))
% 0.80/0.92 [74]~E(x741,x742)+E(f34(x741,x743,x744,x745),f34(x742,x743,x744,x745))
% 0.80/0.92 [75]~E(x751,x752)+E(f34(x753,x751,x754,x755),f34(x753,x752,x754,x755))
% 0.80/0.92 [76]~E(x761,x762)+E(f34(x763,x764,x761,x765),f34(x763,x764,x762,x765))
% 0.80/0.92 [77]~E(x771,x772)+E(f34(x773,x774,x775,x771),f34(x773,x774,x775,x772))
% 0.80/0.92 [78]~E(x781,x782)+E(f31(x781,x783,x784),f31(x782,x783,x784))
% 0.80/0.92 [79]~E(x791,x792)+E(f31(x793,x791,x794),f31(x793,x792,x794))
% 0.80/0.92 [80]~E(x801,x802)+E(f31(x803,x804,x801),f31(x803,x804,x802))
% 0.80/0.92 [81]~E(x811,x812)+E(f39(x811,x813,x814,x815),f39(x812,x813,x814,x815))
% 0.80/0.92 [82]~E(x821,x822)+E(f39(x823,x821,x824,x825),f39(x823,x822,x824,x825))
% 0.80/0.92 [83]~E(x831,x832)+E(f39(x833,x834,x831,x835),f39(x833,x834,x832,x835))
% 0.80/0.92 [84]~E(x841,x842)+E(f39(x843,x844,x845,x841),f39(x843,x844,x845,x842))
% 0.80/0.92 [85]~E(x851,x852)+E(f5(x851,x853,x854,x855,x856),f5(x852,x853,x854,x855,x856))
% 0.80/0.92 [86]~E(x861,x862)+E(f5(x863,x861,x864,x865,x866),f5(x863,x862,x864,x865,x866))
% 0.80/0.92 [87]~E(x871,x872)+E(f5(x873,x874,x871,x875,x876),f5(x873,x874,x872,x875,x876))
% 0.80/0.92 [88]~E(x881,x882)+E(f5(x883,x884,x885,x881,x886),f5(x883,x884,x885,x882,x886))
% 0.80/0.92 [89]~E(x891,x892)+E(f5(x893,x894,x895,x896,x891),f5(x893,x894,x895,x896,x892))
% 0.80/0.92 [90]~E(x901,x902)+E(f25(x901,x903),f25(x902,x903))
% 0.80/0.92 [91]~E(x911,x912)+E(f25(x913,x911),f25(x913,x912))
% 0.80/0.92 [92]~E(x921,x922)+E(f43(x921,x923),f43(x922,x923))
% 0.80/0.92 [93]~E(x931,x932)+E(f43(x933,x931),f43(x933,x932))
% 0.80/0.92 [94]~E(x941,x942)+E(f41(x941,x943,x944),f41(x942,x943,x944))
% 0.80/0.92 [95]~E(x951,x952)+E(f41(x953,x951,x954),f41(x953,x952,x954))
% 0.80/0.92 [96]~E(x961,x962)+E(f41(x963,x964,x961),f41(x963,x964,x962))
% 0.80/0.92 [97]~E(x971,x972)+E(f38(x971,x973,x974),f38(x972,x973,x974))
% 0.80/0.92 [98]~E(x981,x982)+E(f38(x983,x981,x984),f38(x983,x982,x984))
% 0.80/0.92 [99]~E(x991,x992)+E(f38(x993,x994,x991),f38(x993,x994,x992))
% 0.80/0.92 [100]~E(x1001,x1002)+E(f52(x1001,x1003),f52(x1002,x1003))
% 0.80/0.92 [101]~E(x1011,x1012)+E(f52(x1013,x1011),f52(x1013,x1012))
% 0.80/0.92 [102]~E(x1021,x1022)+E(f22(x1021,x1023,x1024,x1025),f22(x1022,x1023,x1024,x1025))
% 0.80/0.92 [103]~E(x1031,x1032)+E(f22(x1033,x1031,x1034,x1035),f22(x1033,x1032,x1034,x1035))
% 0.80/0.92 [104]~E(x1041,x1042)+E(f22(x1043,x1044,x1041,x1045),f22(x1043,x1044,x1042,x1045))
% 0.80/0.92 [105]~E(x1051,x1052)+E(f22(x1053,x1054,x1055,x1051),f22(x1053,x1054,x1055,x1052))
% 0.80/0.92 [106]~E(x1061,x1062)+E(f32(x1061,x1063,x1064),f32(x1062,x1063,x1064))
% 0.80/0.92 [107]~E(x1071,x1072)+E(f32(x1073,x1071,x1074),f32(x1073,x1072,x1074))
% 0.80/0.92 [108]~E(x1081,x1082)+E(f32(x1083,x1084,x1081),f32(x1083,x1084,x1082))
% 0.80/0.92 [109]~E(x1091,x1092)+E(f23(x1091,x1093,x1094),f23(x1092,x1093,x1094))
% 0.80/0.92 [110]~E(x1101,x1102)+E(f23(x1103,x1101,x1104),f23(x1103,x1102,x1104))
% 0.80/0.92 [111]~E(x1111,x1112)+E(f23(x1113,x1114,x1111),f23(x1113,x1114,x1112))
% 0.80/0.92 [112]~P1(x1121)+P1(x1122)+~E(x1121,x1122)
% 0.80/0.92 [113]~P23(x1131)+P23(x1132)+~E(x1131,x1132)
% 0.80/0.92 [114]~P43(x1141)+P43(x1142)+~E(x1141,x1142)
% 0.80/0.92 [115]P10(x1152,x1153)+~E(x1151,x1152)+~P10(x1151,x1153)
% 0.80/0.92 [116]P10(x1163,x1162)+~E(x1161,x1162)+~P10(x1163,x1161)
% 0.80/0.92 [117]~P24(x1171)+P24(x1172)+~E(x1171,x1172)
% 0.80/0.92 [118]P12(x1182,x1183,x1184)+~E(x1181,x1182)+~P12(x1181,x1183,x1184)
% 0.80/0.92 [119]P12(x1193,x1192,x1194)+~E(x1191,x1192)+~P12(x1193,x1191,x1194)
% 0.80/0.92 [120]P12(x1203,x1204,x1202)+~E(x1201,x1202)+~P12(x1203,x1204,x1201)
% 0.80/0.92 [121]P5(x1212,x1213,x1214)+~E(x1211,x1212)+~P5(x1211,x1213,x1214)
% 0.80/0.92 [122]P5(x1223,x1222,x1224)+~E(x1221,x1222)+~P5(x1223,x1221,x1224)
% 0.80/0.92 [123]P5(x1233,x1234,x1232)+~E(x1231,x1232)+~P5(x1233,x1234,x1231)
% 0.80/0.92 [124]~P31(x1241)+P31(x1242)+~E(x1241,x1242)
% 0.80/0.92 [125]~P32(x1251)+P32(x1252)+~E(x1251,x1252)
% 0.80/0.92 [126]P7(x1262,x1263,x1264)+~E(x1261,x1262)+~P7(x1261,x1263,x1264)
% 0.80/0.92 [127]P7(x1273,x1272,x1274)+~E(x1271,x1272)+~P7(x1273,x1271,x1274)
% 0.80/0.92 [128]P7(x1283,x1284,x1282)+~E(x1281,x1282)+~P7(x1283,x1284,x1281)
% 0.80/0.92 [129]~P25(x1291)+P25(x1292)+~E(x1291,x1292)
% 0.80/0.92 [130]~P27(x1301)+P27(x1302)+~E(x1301,x1302)
% 0.80/0.92 [131]~P26(x1311)+P26(x1312)+~E(x1311,x1312)
% 0.80/0.92 [132]~P42(x1321)+P42(x1322)+~E(x1321,x1322)
% 0.80/0.92 [133]~P2(x1331)+P2(x1332)+~E(x1331,x1332)
% 0.80/0.92 [134]~P20(x1341)+P20(x1342)+~E(x1341,x1342)
% 0.80/0.92 [135]P9(x1352,x1353,x1354,x1355)+~E(x1351,x1352)+~P9(x1351,x1353,x1354,x1355)
% 0.80/0.92 [136]P9(x1363,x1362,x1364,x1365)+~E(x1361,x1362)+~P9(x1363,x1361,x1364,x1365)
% 0.80/0.92 [137]P9(x1373,x1374,x1372,x1375)+~E(x1371,x1372)+~P9(x1373,x1374,x1371,x1375)
% 0.80/0.92 [138]P9(x1383,x1384,x1385,x1382)+~E(x1381,x1382)+~P9(x1383,x1384,x1385,x1381)
% 0.80/0.92 [139]~P29(x1391)+P29(x1392)+~E(x1391,x1392)
% 0.80/0.92 [140]~P21(x1401)+P21(x1402)+~E(x1401,x1402)
% 0.80/0.92 [141]~P28(x1411)+P28(x1412)+~E(x1411,x1412)
% 0.80/0.92 [142]~P13(x1421)+P13(x1422)+~E(x1421,x1422)
% 0.80/0.92 [143]~P14(x1431)+P14(x1432)+~E(x1431,x1432)
% 0.80/0.92 [144]~P3(x1441)+P3(x1442)+~E(x1441,x1442)
% 0.80/0.92 [145]~P30(x1451)+P30(x1452)+~E(x1451,x1452)
% 0.80/0.92 [146]P8(x1462,x1463,x1464)+~E(x1461,x1462)+~P8(x1461,x1463,x1464)
% 0.80/0.92 [147]P8(x1473,x1472,x1474)+~E(x1471,x1472)+~P8(x1473,x1471,x1474)
% 0.80/0.92 [148]P8(x1483,x1484,x1482)+~E(x1481,x1482)+~P8(x1483,x1484,x1481)
% 0.80/0.92 [149]P11(x1492,x1493,x1494)+~E(x1491,x1492)+~P11(x1491,x1493,x1494)
% 0.80/0.92 [150]P11(x1503,x1502,x1504)+~E(x1501,x1502)+~P11(x1503,x1501,x1504)
% 0.80/0.92 [151]P11(x1513,x1514,x1512)+~E(x1511,x1512)+~P11(x1513,x1514,x1511)
% 0.80/0.92 [152]~P4(x1521)+P4(x1522)+~E(x1521,x1522)
% 0.80/0.92 [153]~P34(x1531)+P34(x1532)+~E(x1531,x1532)
% 0.80/0.92 [154]~P39(x1541)+P39(x1542)+~E(x1541,x1542)
% 0.80/0.92 [155]~P37(x1551)+P37(x1552)+~E(x1551,x1552)
% 0.80/0.92 [156]~P33(x1561)+P33(x1562)+~E(x1561,x1562)
% 0.80/0.92 [157]~P22(x1571)+P22(x1572)+~E(x1571,x1572)
% 0.80/0.92 [158]~P38(x1581)+P38(x1582)+~E(x1581,x1582)
% 0.80/0.92 [159]~P35(x1591)+P35(x1592)+~E(x1591,x1592)
% 0.80/0.92 [160]~P17(x1601)+P17(x1602)+~E(x1601,x1602)
% 0.80/0.92 [161]~P41(x1611)+P41(x1612)+~E(x1611,x1612)
% 0.80/0.92 [162]~P16(x1621)+P16(x1622)+~E(x1621,x1622)
% 0.80/0.92 [163]~P36(x1631)+P36(x1632)+~E(x1631,x1632)
% 0.80/0.92 [164]~P15(x1641)+P15(x1642)+~E(x1641,x1642)
% 0.80/0.92 [165]~P19(x1651)+P19(x1652)+~E(x1651,x1652)
% 0.80/0.92 [166]P6(x1662,x1663,x1664)+~E(x1661,x1662)+~P6(x1661,x1663,x1664)
% 0.80/0.92 [167]P6(x1673,x1672,x1674)+~E(x1671,x1672)+~P6(x1673,x1671,x1674)
% 0.80/0.92 [168]P6(x1683,x1684,x1682)+~E(x1681,x1682)+~P6(x1683,x1684,x1681)
% 0.80/0.92 [169]~P18(x1691)+P18(x1692)+~E(x1691,x1692)
% 0.80/0.92 [170]~P40(x1701)+P40(x1702)+~E(x1701,x1702)
% 0.80/0.92
% 0.80/0.92 %-------------------------------------------
% 0.80/0.93 cnf(894,plain,
% 0.80/0.93 ($false),
% 0.80/0.93 inference(scs_inference,[],[319,413,877]),
% 0.80/0.93 ['proof']).
% 0.80/0.93 % SZS output end Proof
% 0.80/0.93 % Total time :0.040000s
%------------------------------------------------------------------------------