TSTP Solution File: LCL812-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL812-1 : 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 : n010.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 06:51:06 EDT 2023
% Result : Unsatisfiable 0.85s 0.92s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL812-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 23:30:50 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.76/0.87 %-------------------------------------------
% 0.76/0.87 % File :CSE---1.6
% 0.76/0.87 % Problem :theBenchmark
% 0.76/0.87 % Transform :cnf
% 0.76/0.87 % Format :tptp:raw
% 0.76/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.87
% 0.76/0.87 % Result :Theorem 0.040000s
% 0.76/0.87 % Output :CNFRefutation 0.040000s
% 0.76/0.87 %-------------------------------------------
% 0.76/0.87 %------------------------------------------------------------------------------
% 0.76/0.87 % File : LCL812-1 : TPTP v8.1.2. Released v4.1.0.
% 0.76/0.87 % Domain : Logic Calculi
% 0.76/0.87 % Problem : Strong normalization of typed lambda calculus 174_41
% 0.76/0.87 % Version : Especial.
% 0.76/0.87 % English :
% 0.76/0.87
% 0.76/0.87 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.76/0.87 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.76/0.87 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.76/0.87 % Source : [Nip10]
% 0.76/0.87 % Names : StrongNorm-174_41 [Nip10]
% 0.76/0.87
% 0.76/0.87 % Status : Unsatisfiable
% 0.76/0.87 % 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, 0.07 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0
% 0.76/0.87 % Syntax : Number of clauses : 653 ( 233 unt; 76 nHn; 371 RR)
% 0.76/0.87 % Number of literals : 1379 ( 480 equ; 676 neg)
% 0.76/0.87 % Maximal clause size : 6 ( 2 avg)
% 0.76/0.87 % Maximal term depth : 8 ( 2 avg)
% 0.76/0.87 % Number of predicates : 44 ( 43 usr; 0 prp; 1-4 aty)
% 0.76/0.87 % Number of functors : 74 ( 74 usr; 16 con; 0-6 aty)
% 0.76/0.87 % Number of variables : 1765 ( 248 sgn)
% 0.76/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.76/0.87
% 0.76/0.87 % Comments :
% 0.76/0.87 %------------------------------------------------------------------------------
% 0.76/0.87 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 0.76/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.87 | ~ class_Int_Onumber(T_a)
% 0.76/0.87 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.76/0.87 | 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) ) ).
% 0.76/0.87
% 0.76/0.87 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.76/0.87 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.76/0.87 | V_type2 = V_type2_H ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.76/0.88 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.76/0.88 | V_type1 = V_type1_H ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_Suc__n__not__n_0,axiom,
% 0.76/0.88 c_Suc(V_n) != V_n ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_n__not__Suc__n_0,axiom,
% 0.76/0.88 V_n != c_Suc(V_n) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_xt1_I6_J_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_lessequals(V_z,V_x,T_a)
% 0.76/0.88 | ~ c_lessequals(V_z,V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_xt1_I7_J_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/0.88 | ~ c_lessequals(V_z,V_y,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_xt1_I8_J_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__trans_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.88 | c_lessequals(V_x,V_z,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y,V_z,T_a)
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__eq__iff_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__eq__refl_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__le__less__trans_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__less__le__trans_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y,V_z,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_le__add__right__mono_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.76/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/0.88 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_Suc__lessD_0,axiom,
% 0.76/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_less__SucI_0,axiom,
% 0.76/0.88 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_Suc__pred_0,axiom,
% 0.76/0.88 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_le__eqI_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/0.88 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_le__eqI_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.76/0.88 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_less__eqI_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_less__eqI_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_diff__Suc__less_0,axiom,
% 0.76/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_xt1_I11_J_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.76/0.88 | V_a = V_b
% 0.76/0.88 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_xt1_I12_J_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.76/0.88 | ~ c_lessequals(V_b,V_a,T_a)
% 0.76/0.88 | V_a = V_b ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__le__less_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | V_x = V_y
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__less__le_2,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.88 | V_x = V_y
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__le__neq__trans_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/0.88 | V_a = V_b
% 0.76/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_order__neq__le__trans_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/0.88 | ~ c_lessequals(V_a,V_b,T_a)
% 0.76/0.88 | V_a = V_b ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.88 | V_x = V_y
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.88 | V_x = V_y
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_linorder__linear_0,axiom,
% 0.76/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.76/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_Suc__diff__1_0,axiom,
% 0.76/0.88 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_Suc__pred_H_0,axiom,
% 0.76/0.88 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__eq__if_1,axiom,
% 0.76/0.88 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),V_n))
% 0.76/0.88 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/0.88 | ~ 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) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.88 | 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)
% 0.76/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | 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) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__increasing_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.76/0.88 | ~ c_lessequals(V_b,V_c,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__increasing2_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.76/0.88 | ~ c_lessequals(V_b,V_a,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.76/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.76/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.76/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.88 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.88
% 0.76/0.88 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.76/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.88 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__less__le__mono_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__le__less__mono_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__le__one_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_not__one__le__zero_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__less__Suc_0,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__Suc0_0,axiom,
% 0.76/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__Suc0_1,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_nat__diff__split_0,axiom,
% 0.76/0.89 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.76/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__less__diff_0,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/0.89 | ~ 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) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__less__diff_1,axiom,
% 0.76/0.89 ( 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)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__less_0,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_power__mono_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_zero__le__power_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_power__0__Suc_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.76/0.89 | ~ class_Power_Opower(T_a)
% 0.76/0.89 | 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) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_0,axiom,
% 0.76/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.89 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_3,axiom,
% 0.76/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_0,axiom,
% 0.76/0.89 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.76/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.89 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_3,axiom,
% 0.76/0.89 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.76/0.89 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__add__0_0,axiom,
% 0.76/0.89 c_HOL_Ominus__class_Ominus(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_5,axiom,
% 0.76/0.89 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_4,axiom,
% 0.76/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_1,axiom,
% 0.76/0.89 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.76/0.89 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_2,axiom,
% 0.76/0.89 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.76/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__is__add_4,axiom,
% 0.76/0.89 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_5,axiom,
% 0.76/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_1,axiom,
% 0.76/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__is__1_2,axiom,
% 0.76/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.76/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__add__Suc1_0,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__add__Suc2_0,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__diff__conv_0,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__diff__conv_1,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__diff__inverse_0,axiom,
% 0.76/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_one__le__power_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_One__nat__def_0,axiom,
% 0.76/0.89 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_take__Cons__number__of_1,axiom,
% 0.76/0.89 ( 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_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 0.76/0.89 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.76/0.89 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.76/0.89 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_take__Suc__Cons_0,axiom,
% 0.76/0.89 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) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.76/0.89 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_list__update__code_I3_J_0,axiom,
% 0.76/0.89 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) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_App_0,axiom,
% 0.76/0.89 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.76/0.89 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.76/0.89 | ~ c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_shift__commute_0,axiom,
% 0.76/0.89 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | ~ class_Int_Onumber(T_a)
% 0.76/0.89 | ~ 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)
% 0.76/0.89 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.89 | ~ 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) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__left__mono_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__right__mono_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__le__cancel__left_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.76/0.89 | ~ 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) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__le__cancel__left_1,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__le__cancel__right_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.76/0.89 | ~ 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) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__le__cancel__right_1,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__trans__Suc_0,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__Suc__eq_2,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_lessI_0,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_order__less__imp__le_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_order__le__less_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.89 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.76/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.76/0.89 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_order__antisym__conv_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.89 | V_x = V_y
% 0.76/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_order__antisym_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.89 | V_x = V_y
% 0.76/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_order__eq__iff_2,axiom,
% 0.76/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.89 | V_x = V_y
% 0.76/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__le__not__le_2,axiom,
% 0.76/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.89 | c_lessequals(V_y,V_x,T_a)
% 0.76/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__imp__diff__less_0,axiom,
% 0.76/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.76/0.89 ( V_n = V_m
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__antisym_0,axiom,
% 0.76/0.89 ( V_m = V_n
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__SucE_0,axiom,
% 0.76/0.89 ( V_m = V_n
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.76/0.89 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) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_nat_Oinject_0,axiom,
% 0.76/0.89 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.76/0.89 | V_nat = V_nat_H ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_Suc__inject_0,axiom,
% 0.76/0.89 ( c_Suc(V_x) != c_Suc(V_y)
% 0.76/0.89 | V_x = V_y ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_liftn__lift_0,axiom,
% 0.76/0.89 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(V_n,V_t,V_k)),V_k) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__less__mono2_0,axiom,
% 0.76/0.89 ( 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)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__Suc__1_0,axiom,
% 0.76/0.89 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__Suc_0,axiom,
% 0.76/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__Suc__right_0,axiom,
% 0.76/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__add__cancel_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.76/0.89 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_x),V_b,tc_nat)))
% 0.76/0.89 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_nat__diff__split_1,axiom,
% 0.76/0.89 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_d),V_b,tc_nat)))
% 0.76/0.89 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_add__mono_0,axiom,
% 0.76/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.76/0.89 | 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)
% 0.76/0.89 | ~ c_lessequals(V_c,V_d,T_a)
% 0.76/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__less__Suc_0,axiom,
% 0.76/0.89 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_not__leE_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.89 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | ~ c_lessequals(V_x,V_x,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.76/0.89 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__not__less_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.76/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__not__less_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | c_lessequals(V_y,V_x,T_a)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__not__le_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_linorder__not__le_0,axiom,
% 0.76/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.76/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.76/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_less__le__not__le_1,axiom,
% 0.76/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.76/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_of__nat__aux_Osimps_I2_J_0,axiom,
% 0.76/0.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.76/0.89 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_Suc(V_n),V_i,T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,V_n,hAPP(V_inc,V_i),T_a) ) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_diff__diff__left_0,axiom,
% 0.76/0.89 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(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) ).
% 0.76/0.89
% 0.76/0.89 cnf(cls_eq__eqI_1,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.76/0.90 | V_xa = V_y ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_eq__eqI_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.76/0.90 | V_x_H = V_y_H ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__Suc__shift_0,axiom,
% 0.76/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_eq__number__of_0,axiom,
% 0.76/0.90 ( ~ class_Int_Oring__char__0(T_a)
% 0.76/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.76/0.90 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 0.76/0.90 | V_x = V_y ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__cancel2_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__cancel_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_expand__Suc_0,axiom,
% 0.76/0.90 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__commute_0,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Suc__lessI_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.76/0.90 | c_Suc(V_m) = V_n
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Suc__diff__diff_0,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_not__less__eq_1,axiom,
% 0.76/0.90 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_not__less__eq_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__inject__base_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | V_a = V_b
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__add__inverse2_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__add__inverse_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__diff__cancel_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Suc__less__eq_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Suc__mono_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__self_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__0__right_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_right__minus__eq_1,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.76/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/0.90 | V_x = V_y ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_right__minus__eq_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/0.90 | V_a = V_b ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.76/0.90 | V_a = V_b ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_of__nat__aux_Osimps_I1_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.76/0.90 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_HOL_Ozero__class_Ozero(tc_nat),V_i,T_a) = V_i ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_liftn__0_0,axiom,
% 0.76/0.90 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.76/0.90 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.76/0.90 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.76/0.90 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.90 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.90 | V_m = V_n ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__self__eq__0_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.76/0.90 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.76/0.90 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_diff__0__eq__0_0,axiom,
% 0.76/0.90 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.76/0.90 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__neg__nonpos_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__nonpos__neg_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__strict__increasing_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.76/0.90 | ~ c_lessequals(V_b,V_c,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__strict__increasing2_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.76/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__nonneg__pos_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__pos__nonneg_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__gt1_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_of__nat__Suc_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.76/0.90 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n))
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 0.76/0.90 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_shift__lt_0,axiom,
% 0.76/0.90 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_substn__subst__n_0,axiom,
% 0.76/0.90 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__Suc__less__one_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__one_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.76/0.90 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.76/0.90 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__cancel__21_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__gr__0_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.76/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_nat__add__assoc_0,axiom,
% 0.76/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_nat__add__left__commute_0,axiom,
% 0.76/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__cancel__21_1,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.76/0.90 | 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)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_xt1_I10_J_0,axiom,
% 0.76/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_order__less__trans_0,axiom,
% 0.76/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_singleton__rev__conv_0,axiom,
% 0.76/0.90 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.76/0.90 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__step1I_0,axiom,
% 0.76/0.90 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__step1I_1,axiom,
% 0.76/0.90 ( 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)
% 0.76/0.90 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_take__1__Cons_0,axiom,
% 0.76/0.90 c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.76/0.90 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.76/0.90 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.76/0.90 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.76/0.90 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.76/0.90 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.76/0.90 ( V_x = V_y
% 0.76/0.90 | V_xs = V_ys
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.76/0.90 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_listsp_ONil_0,axiom,
% 0.76/0.90 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__same__eq_0,axiom,
% 0.76/0.90 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.76/0.90 | V_ys = V_zs ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_same__append__eq_0,axiom,
% 0.76/0.90 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.76/0.90 | V_ys = V_zs ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.76/0.90 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.76/0.90 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rtranclp__trans_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_take__eq__Nil_2,axiom,
% 0.76/0.90 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_IT_Ocases_8,axiom,
% 0.76/0.90 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.76/0.90 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.76/0.90 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.76/0.90 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__Nil2_0,axiom,
% 0.76/0.90 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.76/0.90 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_self__append__conv_1,axiom,
% 0.76/0.90 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__Nil_0,axiom,
% 0.76/0.90 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_self__append__conv2_1,axiom,
% 0.76/0.90 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__swap_0,axiom,
% 0.76/0.90 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__swap_1,axiom,
% 0.76/0.90 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__rev__ident_0,axiom,
% 0.76/0.90 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__strict__decreasing_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__lessD1_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_trans__less__add1_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_trans__less__add2_0,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.76/0.90 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.76/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_nat__add__commute_0,axiom,
% 0.76/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_less__add__eq__less_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.76/0.90 | V_y = V_x
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.76/0.90 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.76/0.90 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.76/0.90 | V_m = V_n ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__singleton__conv_0,axiom,
% 0.76/0.90 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.76/0.90 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_o__apply_0,axiom,
% 0.76/0.90 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.76/0.90 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.76/0.90 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__one__right_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.76/0.90 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_r__into__rtranclp_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_not__Nil__step1_0,axiom,
% 0.76/0.90 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_not__step1__Nil_0,axiom,
% 0.76/0.90 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_even__less__0__iff_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.76/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_even__less__0__iff_1,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_zero__less__power_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Apps__dB__induct_5,axiom,
% 0.76/0.90 ( hBOOL(hAPP(V_P,V_t))
% 0.76/0.90 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.76/0.90 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_lem_5,axiom,
% 0.76/0.90 ( ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.76/0.90 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.76/0.90 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__subst_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_v),V_i)),c_Suc(V_j))),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_v),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_v),V_j)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__strict__mono_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_semiring__1__class_Oof__nat__code_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.76/0.90 | c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a),T_a,T_a,T_a),V_n,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_dB_Osize_I3_J_0,axiom,
% 0.76/0.90 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_dB_Osize_I2_J_0,axiom,
% 0.76/0.90 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_substn_Osimps_I1_J_0,axiom,
% 0.76/0.90 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.76/0.90 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.76/0.90 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_dB_Osize_I6_J_0,axiom,
% 0.76/0.90 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Abs_0,axiom,
% 0.76/0.90 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))
% 0.76/0.90 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_dB_Osize_I5_J_0,axiom,
% 0.76/0.90 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_list__app__typeE_1,axiom,
% 0.76/0.90 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.76/0.90 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_list__app__typeD_1,axiom,
% 0.76/0.90 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.76/0.90 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_lift__lift_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),c_Suc(V_k)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_i)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__gt_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_subst__Var_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_take__Cons_H_1,axiom,
% 0.76/0.90 ( c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 0.76/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_take__Cons__number__of_0,axiom,
% 0.76/0.90 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.76/0.90 | V_a = V_b
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.76/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_of__nat__1_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.76/0.90 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.76/0.90 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.76/0.90 | ~ 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__singleton__conv_1,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.76/0.90 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.76/0.90 | 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) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_one__less__power_0,axiom,
% 0.76/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_lift__subst__lt_0,axiom,
% 0.76/0.90 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)))
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_add__neg__neg_0,axiom,
% 0.76/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.76/0.90 | 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)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.76/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_append__Cons_0,axiom,
% 0.76/0.90 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) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.76/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))
% 0.76/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_take__eq__Nil_0,axiom,
% 0.76/0.90 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.76/0.90 | V_xs = c_List_Olist_ONil(T_a)
% 0.76/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.76/0.90
% 0.76/0.90 cnf(cls_IT_Ocases_6,axiom,
% 0.85/0.90 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.90 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.85/0.90 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.85/0.90 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_list__update__nonempty_1,axiom,
% 0.85/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_list__update__code_I1_J_0,axiom,
% 0.85/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 0.85/0.90 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.85/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 0.85/0.90 | V_y = V_z ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.85/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 0.85/0.90 | V_m = V_n ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.85/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.85/0.90 | V_m = V_n ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.85/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.85/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.85/0.90 | 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)
% 0.85/0.90 | V_y = V_z ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_add__imp__eq_0,axiom,
% 0.85/0.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.85/0.90 | 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)
% 0.85/0.90 | V_b = V_c ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_add__left__cancel_0,axiom,
% 0.85/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.85/0.90 | 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)
% 0.85/0.90 | V_b = V_c ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_add__right__cancel_0,axiom,
% 0.85/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.85/0.90 | 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)
% 0.85/0.90 | V_b = V_c ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.85/0.90 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) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.85/0.90 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) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_neq__Nil__conv_1,axiom,
% 0.85/0.90 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.85/0.90 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.85/0.90 ( V_x = V_y
% 0.85/0.90 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.85/0.90 | ~ 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) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.85/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/0.90 | 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)) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.85/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))
% 0.85/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.85/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.85/0.90 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) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.85/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.90 | ~ 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) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_subject__reduction_H_0,axiom,
% 0.85/0.90 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.85/0.90 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.85/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.85/0.90 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.85/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_not__Cons__self2_0,axiom,
% 0.85/0.90 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.85/0.90
% 0.85/0.90 cnf(cls_not__Cons__self_0,axiom,
% 0.85/0.90 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.85/0.90
% 0.85/0.91 cnf(cls_list__update__code_I2_J_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_3,axiom,
% 0.85/0.91 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__subst_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),V_j)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_singleton__rev__conv_1,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__lemma_0,axiom,
% 0.85/0.91 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.85/0.91 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.85/0.91 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.85/0.91 ( V_ys = V_xs
% 0.85/0.91 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_zero__less__two_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.85/0.91 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rtranclp__idemp_0,axiom,
% 0.85/0.91 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_abs_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.85/0.91 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rev__append_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_monoid__add_Oadd__0__right_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(V_plus,V_a),V_zero) = V_a
% 0.85/0.91 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_monoid__add_Oadd__0__left_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(V_plus,V_zero),V_a) = V_a
% 0.85/0.91 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__gr__0_2,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__gr__0_1,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list__update__nonempty_0,axiom,
% 0.85/0.91 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_2,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.85/0.91 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_10,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_1,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.85/0.91 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__eq__0__iff_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.85/0.91 | ~ class_Power_Opower(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.85/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_field__power__not__zero_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.85/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_one__neq__zero_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.85/0.91 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_double__eq__0__iff_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.85/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.85/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.85/0.91 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.85/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_double__eq__0__iff_1,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/0.91 | 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_zero__neq__one_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.85/0.91 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.85/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.85/0.91 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__0__left_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/0.91 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__0__left_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.85/0.91 | ~ class_Power_Opower(T_a)
% 0.85/0.91 | 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_neq0__conv_1,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_gr0I_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.85/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__is__0_1,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__is__0_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/0.91 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.85/0.91 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.85/0.91 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__eq__self__zero_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.85/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__is__0_2,axiom,
% 0.85/0.91 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_gr__implies__not0_0,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__less0_0,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.85/0.91 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.85/0.91 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.85/0.91 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.85/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.85/0.91 ( ~ 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)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit_1,axiom,
% 0.85/0.91 ( ~ 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)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_appR_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_appL_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.85/0.91 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.85/0.91 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__append_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.85/0.91 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_shift__eq_0,axiom,
% 0.85/0.91 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.85/0.91 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.85/0.91 | V_i = V_k
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__one__less__zero_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.85/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.85/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.85/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.85/0.91 | V_dB = V_dB_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.85/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.85/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.85/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_11,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_nat__less__le_1,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_less__not__refl_0,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_order__less__le_1,axiom,
% 0.85/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__neq__iff_1,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_order__less__irrefl_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__pos__pos_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.85/0.91 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.85/0.91 | V_xs = V_ys
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_semigroup__add_Oadd__assoc_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(V_plus,hAPP(hAPP(V_plus,V_a),V_b)),V_c) = hAPP(hAPP(V_plus,V_a),hAPP(hAPP(V_plus,V_b),V_c))
% 0.85/0.91 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_7,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.85/0.91 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.85/0.91 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.85/0.91 | V_x = V_y ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | V_x = V_y
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_nat__neq__iff_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/0.91 | V_m = V_n ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_nat__less__cases_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.85/0.91 | V_m = V_n
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.85/0.91 | V_x = V_y ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__neqE_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.85/0.91 | V_x = V_y ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__less__linear_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.85/0.91 | V_x = V_y
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | V_x = V_y
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__strict__mono_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__mono_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.85/0.91 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__less__iff_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__less__iff_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_zero__less__one_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_0,axiom,
% 0.85/0.91 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_less__add__one_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_take__0_0,axiom,
% 0.85/0.91 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.85/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.85/0.91 | V_xs = V_ys ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.85/0.91 ( V_ys = V_xs
% 0.85/0.91 | V_y = V_x
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__inject__exp_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.85/0.91 | V_m = V_n ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_take__Cons_H_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__0_0,axiom,
% 0.85/0.91 ( ~ class_Power_Opower(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.85/0.91 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.85/0.91 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.85/0.91 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_o__assoc_0,axiom,
% 0.85/0.91 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_semigroup__add__class_Oaxioms_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.85/0.91 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(T_a),T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_shift__gt_0,axiom,
% 0.85/0.91 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.85/0.91 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_pos__add__strict_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit_2,axiom,
% 0.85/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.85/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.85/0.91 | ~ 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__strict__increasing_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/0.91 | ~ 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__add__less1_0,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__add__less2_0,axiom,
% 0.85/0.91 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__self__conv_0,axiom,
% 0.85/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.85/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_self__append__conv_0,axiom,
% 0.85/0.91 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.85/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__self__conv2_0,axiom,
% 0.85/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_self__append__conv2_0,axiom,
% 0.85/0.91 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.85/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__strict__right__mono_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__cancel__right_1,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__cancel__right_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__strict__left__mono_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__cancel__left_1,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/0.91 | 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)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__cancel__left_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_add__less__mono1_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_9,axiom,
% 0.85/0.91 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list_Oinject_0,axiom,
% 0.85/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.85/0.91 | V_a = V_a_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list_Oinject_1,axiom,
% 0.85/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.85/0.91 | V_list = V_list_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subject__reduction_0,axiom,
% 0.85/0.91 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.85/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.85/0.91 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.85/0.91 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list__update__swap_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_i = V_i_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_o__eq__dest_0,axiom,
% 0.85/0.91 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.85/0.91 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_comp__cong_0,axiom,
% 0.85/0.91 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.85/0.91 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.85/0.91 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__add_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.85/0.91 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append1__eq__conv_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_xs = V_ys ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append1__eq__conv_1,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_x = V_y ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.85/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.85/0.91 hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(V_s)),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,V_s),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_list__update__overwrite_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__assoc_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__eq__appendI_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__type_0,axiom,
% 0.85/0.91 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T)
% 0.85/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_xt1_I9_J_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.85/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_order__less__asym_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_order__less__asym_H_0,axiom,
% 0.85/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_rev__map_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__ext_1,axiom,
% 0.85/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b))
% 0.85/0.91 | c_List_Omap(V_f,V_xs,T_a,T_b) = c_List_Omap(V_g,V_xs,T_a,T_b) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_take__map_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.85/0.91 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__map_0,axiom,
% 0.85/0.91 c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__cong_1,axiom,
% 0.85/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b))
% 0.85/0.91 | c_List_Omap(V_f,V_x,T_a,T_b) = c_List_Omap(V_g,V_x,T_a,T_b) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__eq__conv_2,axiom,
% 0.85/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a)) != hAPP(V_g,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a))
% 0.85/0.91 | c_List_Omap(V_f,V_xs,T_b,T_a) = c_List_Omap(V_g,V_xs,T_b,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_map__update_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.85/0.91 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__preserves__betas_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | 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)
% 0.85/0.91 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_ex__head__tail_0,axiom,
% 0.85/0.91 V_t = c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2(V_t),c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1(V_t),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.85/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.85/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_semigroup__add_Ofoldl__assoc_0,axiom,
% 0.85/0.91 ( c_List_Ofoldl(V_plus,hAPP(hAPP(V_plus,V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_y,V_zs,T_a,T_a))
% 0.85/0.91 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_foldl__Nil_0,axiom,
% 0.85/0.91 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_foldl__assoc_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.85/0.91 | 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)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_monoid__add_Ofoldl__absorb0_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_zero,V_zs,T_a,T_a)) = c_List_Ofoldl(V_plus,V_x,V_zs,T_a,T_a)
% 0.85/0.91 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_foldl__Cons_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_foldl__append_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lem_3,axiom,
% 0.85/0.91 ( hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)))
% 0.85/0.91 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.85/0.91 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_var__app__typesE_1,axiom,
% 0.85/0.91 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Apps__dB__induct_3,axiom,
% 0.85/0.91 ( hBOOL(hAPP(V_P,V_t))
% 0.85/0.91 | hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)))
% 0.85/0.91 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_var__app__types_1,axiom,
% 0.85/0.91 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.85/0.91 | ~ 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)
% 0.85/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.85/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_head__Var__reduction_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | ~ 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)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_4,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__preserves__beta_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_Ocases_5,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.85/0.91 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.85/0.91 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__Abs_0,axiom,
% 0.85/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(V_t)),V_s),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_s),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.85/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osplit_0,axiom,
% 0.85/0.91 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.85/0.91 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.85/0.91 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.85/0.91 ( hAPP(V_e,V_i) = V_T
% 0.85/0.91 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_typing_OVar_0,axiom,
% 0.85/0.91 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var_I3_J_0,axiom,
% 0.85/0.91 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Lambda_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__preserves__beta_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_beta_0,axiom,
% 0.85/0.91 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)))) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_True_0,axiom,
% 0.85/0.91 v_n____ = v_i____ ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_head__Var__reduction_1,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | ~ 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)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__eq__0__iff_2,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.85/0.91 | ~ class_Power_Opower(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.85/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__0__left_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.85/0.91 | ~ class_Power_Opower(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.85/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_power__eq__0__iff_1,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.85/0.91 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.85/0.91 | ~ class_Power_Opower(T_a)
% 0.85/0.91 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_of__nat__0_0,axiom,
% 0.85/0.91 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.85/0.91 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_foldl__absorb0_0,axiom,
% 0.85/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.85/0.91 | 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_substn__subst__0_0,axiom,
% 0.85/0.91 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.85/0.91 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.85/0.91 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.85/0.91 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_r = V_s ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_rs = V_ss ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__preserves__beta_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_substs__lemma_0,axiom,
% 0.85/0.91 ( c_Type_Otypings(V_e,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),V_Ts)
% 0.85/0.91 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 0.85/0.91 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__lt_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__Var_2,axiom,
% 0.85/0.91 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.85/0.91 | V_i = V_k
% 0.85/0.91 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__Var_1,axiom,
% 0.85/0.91 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.85/0.91 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__types_0,axiom,
% 0.85/0.91 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),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),V_Ts)
% 0.85/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.85/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_var__app__type__eq_0,axiom,
% 0.85/0.91 ( V_T = V_U
% 0.85/0.91 | ~ 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)
% 0.85/0.91 | ~ 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) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_IT_OVar_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Beta_0,axiom,
% 0.85/0.91 ( 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)))
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.85/0.91 | ~ 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))) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lifts__IT_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__App_0,axiom,
% 0.85/0.91 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)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.85/0.91 | V_nat = V_nat_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_m = V_n ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_rs = V_ss ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__eq_0,axiom,
% 0.85/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__Var__IT_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__map_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.85/0.91 | V_dB1 = V_dB1_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.85/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.85/0.91 | V_dB2 = V_dB2_H ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.85/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.85/0.91 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.85/0.91 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift__IT_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_Var__IT_0,axiom,
% 0.85/0.91 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.85/0.91 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)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__map_0,axiom,
% 0.85/0.91 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) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_COMBC__def_0,axiom,
% 0.85/0.91 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.85/0.91 ( 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)
% 0.85/0.91 | V_r = V_s ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_uIT_0,axiom,
% 0.85/0.91 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_subst__lift_0,axiom,
% 0.85/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_app__Var__IT_0,axiom,
% 0.85/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.85/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.85/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_CHAINED_0,axiom,
% 0.85/0.91 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),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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.85/0.91 ~ 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_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.85/0.91 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.85/0.91 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.85/0.91 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.85/0.91 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.85/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.85/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.85/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.85/0.91 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.85/0.91 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.85/0.91 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.85/0.91 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.85/0.91 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.85/0.91 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.85/0.91 class_Orderings_Opreorder(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.85/0.91 class_Orderings_Olinorder(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.85/0.91 class_Orderings_Oorder(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Power_Opower,axiom,
% 0.85/0.91 class_Power_Opower(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_nat__Int_Onumber,axiom,
% 0.85/0.91 class_Int_Onumber(tc_nat) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.85/0.91 class_Orderings_Opreorder(tc_bool) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.85/0.91 class_Orderings_Oorder(tc_bool) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.85/0.91 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.85/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.85/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.85/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 0.85/0.91 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.85/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 0.85/0.91 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 0.85/0.91 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Osemigroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
% 0.85/0.91 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 0.85/0.91 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 0.85/0.91 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 0.85/0.91 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 0.85/0.91 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 0.85/0.91 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 0.85/0.91 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 0.85/0.91 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 0.85/0.91 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 0.85/0.91 class_Orderings_Opreorder(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 0.85/0.91 class_Orderings_Olinorder(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 0.85/0.91 class_Orderings_Oorder(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 0.85/0.91 class_Int_Oring__char__0(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 0.85/0.91 class_Int_Onumber__ring(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 0.85/0.91 class_Power_Opower(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 0.85/0.91 class_Int_Onumber(tc_Int_Oint) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.85/0.91 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.85/0.91
% 0.85/0.91 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.85/0.91 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.85/0.91
% 0.85/0.92 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.85/0.92 c_fequal(V_x,V_x,T_a) ).
% 0.85/0.92
% 0.85/0.92 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.85/0.92 ( V_X = V_Y
% 0.85/0.92 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.85/0.92
% 0.85/0.92 %------------------------------------------------------------------------------
% 0.85/0.92 %-------------------------------------------
% 0.85/0.92 % Proof found
% 0.85/0.92 % SZS status Theorem for theBenchmark
% 0.85/0.92 % SZS output start Proof
% 0.85/0.92 %ClaNum:850(EqnAxiom:200)
% 0.85/0.92 %VarNum:3608(SingletonVarNum:1468)
% 0.85/0.92 %MaxLitNum:6
% 0.85/0.92 %MaxfuncDepth:7
% 0.85/0.92 %SharedTerms:109
% 0.85/0.92 %goalClause: 430
% 0.85/0.92 %singleGoalClaCount:1
% 0.85/0.92 [201]E(a1,a63)
% 0.85/0.92 [202]P1(a2)
% 0.85/0.92 [203]P1(a3)
% 0.85/0.92 [204]P2(a2)
% 0.85/0.92 [205]P2(a3)
% 0.85/0.92 [206]P30(a2)
% 0.85/0.92 [207]P30(a58)
% 0.85/0.92 [208]P30(a3)
% 0.85/0.92 [209]P31(a2)
% 0.85/0.92 [210]P31(a58)
% 0.85/0.92 [211]P31(a3)
% 0.85/0.92 [212]P12(a3)
% 0.85/0.92 [213]P25(a2)
% 0.85/0.92 [214]P25(a3)
% 0.85/0.92 [215]P13(a3)
% 0.85/0.92 [216]P26(a2)
% 0.85/0.92 [217]P26(a3)
% 0.85/0.92 [218]P14(a2)
% 0.85/0.92 [219]P14(a3)
% 0.85/0.92 [220]P28(a2)
% 0.85/0.92 [221]P28(a3)
% 0.85/0.92 [222]P32(a2)
% 0.85/0.92 [223]P32(a3)
% 0.85/0.92 [224]P39(a2)
% 0.85/0.92 [225]P39(a3)
% 0.85/0.92 [226]P33(a2)
% 0.85/0.92 [227]P33(a3)
% 0.85/0.92 [228]P27(a2)
% 0.85/0.92 [229]P27(a3)
% 0.85/0.92 [230]P22(a3)
% 0.85/0.92 [231]P41(a2)
% 0.85/0.92 [232]P41(a3)
% 0.85/0.92 [233]P15(a3)
% 0.85/0.92 [234]P16(a3)
% 0.85/0.92 [235]P17(a3)
% 0.85/0.92 [236]P34(a3)
% 0.85/0.92 [237]P23(a2)
% 0.85/0.92 [238]P23(a3)
% 0.85/0.92 [239]P35(a2)
% 0.85/0.92 [240]P35(a3)
% 0.85/0.92 [241]P19(a2)
% 0.85/0.92 [242]P19(a3)
% 0.85/0.92 [243]P18(a2)
% 0.85/0.92 [244]P18(a3)
% 0.85/0.92 [245]P36(a3)
% 0.85/0.92 [246]P20(a2)
% 0.85/0.92 [247]P20(a3)
% 0.85/0.92 [248]P21(a2)
% 0.85/0.92 [249]P21(a3)
% 0.85/0.92 [250]P42(a2)
% 0.85/0.92 [251]P42(a3)
% 0.85/0.92 [252]P37(a2)
% 0.85/0.92 [253]P37(a3)
% 0.85/0.92 [254]P38(a2)
% 0.85/0.92 [255]P38(a3)
% 0.85/0.92 [256]P40(a3)
% 0.85/0.92 [257]P24(a2)
% 0.85/0.92 [258]P24(a3)
% 0.85/0.92 [259]P29(a2)
% 0.85/0.92 [260]P29(a3)
% 0.85/0.92 [265]P43(f48(a11,a64))
% 0.85/0.92 [266]P43(f48(a11,a65))
% 0.85/0.92 [400]P4(a11,f40(f9(a22,f5(a2),a59,a2,a59),f40(f9(f9(a24,a65,a59,a59,f61(a2,a59)),a1,a59,a2,a59),a62,a59,a59),a59,a59),a59)
% 0.85/0.92 [430]~P43(f48(a11,f38(a15,f4(f5(a2)),f40(f9(a22,f5(a2),a59,a2,a59),f40(f9(f9(a24,a65,a59,a59,f61(a2,a59)),a1,a59,a2,a59),a62,a59,a59),a59,a59),a59,a59)))
% 0.85/0.92 [414]~P5(x4141,x4141,a2)
% 0.85/0.92 [276]E(f7(x2761,x2761,a2),f5(a2))
% 0.85/0.92 [418]~P5(x4181,f5(a2),a2)
% 0.85/0.92 [261]E(f16(f4(x2611)),f5(a2))
% 0.85/0.92 [262]E(f19(f4(x2621),a59),f5(a2))
% 0.85/0.92 [264]E(f39(f20(x2641),x2641),f20(x2641))
% 0.85/0.92 [267]P43(f48(a11,f4(x2671)))
% 0.85/0.92 [272]E(f48(f48(f6(a2),x2721),f5(a2)),x2721)
% 0.85/0.92 [277]E(f7(x2771,f5(a2),a2),x2771)
% 0.85/0.92 [281]E(f7(f5(a2),x2811,a2),f5(a2))
% 0.85/0.92 [300]P5(x3001,f48(f48(f6(a2),x3001),f10(a2)),a2)
% 0.85/0.92 [302]P5(f5(a2),f48(f48(f6(a2),x3021),f10(a2)),a2)
% 0.85/0.92 [374]E(f38(a15,f25(x3741),f26(x3741),a59,a59),x3741)
% 0.85/0.92 [408]~E(f48(f48(f6(a2),x4081),f10(a2)),x4081)
% 0.85/0.92 [412]~E(f48(f48(f6(a2),x4121),f10(a2)),f5(a2))
% 0.85/0.92 [273]E(f48(f48(f6(a2),f5(a2)),x2731),x2731)
% 0.85/0.92 [306]E(f48(f48(f6(a2),f16(x3061)),f48(f48(f6(a2),f5(a2)),f10(a2))),f16(f12(x3061)))
% 0.85/0.92 [313]E(f48(f48(f6(a2),f19(x3131,a59)),f48(f48(f6(a2),f5(a2)),f10(a2))),f19(f12(x3131),a59))
% 0.85/0.92 [275]P3(x2751,x2751,x2752)
% 0.85/0.92 [282]P4(x2821,f20(x2822),x2822)
% 0.85/0.92 [292]P7(x2921,f4(x2922),f48(x2921,x2922))
% 0.85/0.92 [402]~E(f12(x4021),f4(x4022))
% 0.85/0.92 [270]E(f39(f39(x2701,x2702),x2702),x2701)
% 0.85/0.92 [274]E(f49(f49(x2741,x2742),x2742),f49(x2741,x2742))
% 0.85/0.92 [280]E(f21(f5(a2),x2801,x2802),x2801)
% 0.85/0.92 [286]E(f23(x2861,f20(x2862),x2862),x2861)
% 0.85/0.92 [287]E(f23(f20(x2871),x2872,x2871),x2872)
% 0.85/0.92 [288]E(f42(f5(a2),x2881,x2882),f20(x2882))
% 0.85/0.92 [289]E(f42(x2891,f20(x2892),x2892),f20(x2892))
% 0.85/0.92 [318]P5(f7(x3181,x3182,a2),f48(f48(f6(a2),x3181),f10(a2)),a2)
% 0.85/0.92 [350]E(f48(f48(f48(a24,x3501),f21(f5(a2),x3502,f5(a2))),f5(a2)),f48(f48(f48(a24,x3501),x3502),f5(a2)))
% 0.85/0.92 [358]P5(x3581,f48(f48(f6(a2),f48(f48(f6(a2),x3582),x3581)),f10(a2)),a2)
% 0.85/0.92 [360]P5(x3601,f48(f48(f6(a2),f48(f48(f6(a2),x3601),x3602)),f10(a2)),a2)
% 0.85/0.92 [293]E(f48(f48(f6(a2),x2931),x2932),f48(f48(f6(a2),x2932),x2931))
% 0.85/0.92 [310]E(f39(f37(x3101,f20(x3102),x3102),x3102),f37(x3101,f20(x3102),x3102))
% 0.85/0.92 [329]E(f7(x3291,f48(f48(f6(a2),x3292),f10(a2)),a2),f7(f7(x3291,f10(a2),a2),x3292,a2))
% 0.85/0.92 [356]E(f48(f48(f6(a2),f48(f48(f6(a2),f16(x3561)),f16(x3562))),f48(f48(f6(a2),f5(a2)),f10(a2))),f16(f48(f48(a15,x3561),x3562)))
% 0.85/0.92 [362]E(f48(f48(f6(a2),f48(f48(f6(a2),f19(x3621,a59)),f19(x3622,a59))),f48(f48(f6(a2),f5(a2)),f10(a2))),f19(f48(f48(a15,x3621),x3622),a59))
% 0.85/0.92 [365]P43(f48(f48(a13,f48(f48(a15,f12(x3651)),x3652)),f48(f48(f48(a24,x3651),x3652),f5(a2))))
% 0.85/0.92 [423]~P43(f48(f48(a13,f4(x4231)),x4232))
% 0.85/0.92 [424]~P5(f48(f48(f6(a2),x4241),x4242),x4242,a2)
% 0.85/0.92 [425]~P5(f48(f48(f6(a2),x4251),x4252),x4251,a2)
% 0.85/0.92 [295]E(f48(f48(f48(a24,f4(x2951)),x2952),x2951),x2952)
% 0.85/0.92 [296]E(f7(f48(f48(f6(a2),x2961),x2962),x2962,a2),x2961)
% 0.85/0.92 [297]E(f7(f48(f48(f6(a2),x2971),x2972),x2971,a2),x2972)
% 0.85/0.92 [298]E(f7(x2981,f48(f48(f6(a2),x2981),x2982),a2),f5(a2))
% 0.85/0.92 [331]E(f12(f48(f48(a22,x3311),f48(f48(f6(a2),x3312),f10(a2)))),f48(f48(a22,f12(x3311)),x3312))
% 0.85/0.92 [347]E(f48(f48(f6(a2),f48(f48(f6(a2),x3471),f10(a2))),x3472),f48(f48(f6(a2),x3471),f48(f48(f6(a2),x3472),f10(a2))))
% 0.85/0.92 [354]E(f48(f48(f6(a2),f48(f48(f6(a2),x3541),f10(a2))),x3542),f48(f48(f6(a2),f48(f48(f6(a2),x3541),x3542)),f10(a2)))
% 0.85/0.92 [416]~E(f37(x4161,x4162,x4163),x4162)
% 0.85/0.92 [421]~E(f37(x4211,x4212,x4213),f20(x4213))
% 0.85/0.92 [426]~P6(x4261,x4262,f20(x4263),x4263)
% 0.85/0.92 [427]~P6(x4271,f20(x4272),x4273,x4272)
% 0.85/0.92 [316]E(f42(f10(a2),f37(x3161,x3162,x3163),x3163),f37(x3161,f20(x3163),x3163))
% 0.85/0.92 [317]E(f23(f39(x3171,x3172),f39(x3173,x3172),x3172),f39(f23(x3173,x3171,x3172),x3172))
% 0.85/0.92 [320]E(f40(x3201,f20(x3202),x3202,x3203),f20(x3203))
% 0.85/0.92 [323]E(f41(f20(x3231),x3232,x3233,x3231),f20(x3231))
% 0.85/0.92 [330]E(f7(f7(x3301,x3302,a2),x3303,a2),f7(f7(x3301,x3303,a2),x3302,a2))
% 0.85/0.92 [403]~E(f4(x4031),f48(f48(a15,x4032),x4033))
% 0.85/0.92 [404]~E(f12(x4041),f48(f48(a15,x4042),x4043))
% 0.85/0.92 [405]~E(f48(f48(a15,x4051),x4052),f4(x4053))
% 0.85/0.92 [406]~E(f48(f48(a15,x4061),x4062),f12(x4063))
% 0.85/0.92 [308]P43(f48(f48(f49(x3081,x3082),x3083),x3083))
% 0.85/0.92 [332]E(f23(f39(x3321,x3322),f37(x3323,f20(x3322),x3322),x3322),f39(f37(x3323,x3321,x3322),x3322))
% 0.85/0.92 [348]E(f21(f48(f48(f6(a2),x3481),f10(a2)),x3482,x3483),f48(f48(a22,f21(x3481,x3482,x3483)),x3483))
% 0.85/0.92 [361]E(f7(f7(f48(f48(f6(a2),x3611),f10(a2)),x3612,a2),f48(f48(f6(a2),x3613),f10(a2)),a2),f7(f7(x3611,x3612,a2),x3613,a2))
% 0.85/0.92 [398]E(f38(a15,f48(f48(a22,x3981),x3982),f40(f9(a22,x3982,a59,a2,a59),x3983,a59,a59),a59,a59),f48(f48(a22,f38(a15,x3981,x3983,a59,a59)),x3982))
% 0.85/0.92 [324]E(f48(f48(f6(a2),x3241),f48(f48(f6(a2),x3242),x3243)),f48(f48(f6(a2),x3242),f48(f48(f6(a2),x3241),x3243)))
% 0.85/0.92 [325]E(f7(f48(f48(f6(a2),x3251),x3252),f48(f48(f6(a2),x3253),x3252),a2),f7(x3251,x3253,a2))
% 0.85/0.92 [326]E(f7(f48(f48(f6(a2),x3261),x3262),f48(f48(f6(a2),x3261),x3263),a2),f7(x3262,x3263,a2))
% 0.85/0.92 [328]E(f7(x3281,f48(f48(f6(a2),x3282),x3283),a2),f7(f7(x3281,x3282,a2),x3283,a2))
% 0.85/0.92 [344]E(f12(f21(x3441,x3442,f48(f48(f6(a2),x3443),f10(a2)))),f21(x3441,f12(x3442),x3443))
% 0.85/0.92 [352]E(f48(f48(a15,f48(f48(a22,x3521),x3522)),f48(f48(a22,x3523),x3522)),f48(f48(a22,f48(f48(a15,x3521),x3523)),x3522))
% 0.85/0.92 [353]E(f39(f23(f39(x3531,x3532),f37(x3533,f20(x3532),x3532),x3532),x3532),f37(x3533,x3531,x3532))
% 0.85/0.92 [364]E(f12(f48(f48(f48(a24,x3641),f48(f48(a22,x3642),f5(a2))),f48(f48(f6(a2),x3643),f10(a2)))),f48(f48(f48(a24,f12(x3641)),x3642),x3643))
% 0.85/0.92 [386]E(f12(f48(f48(f48(a24,x3861),f21(f48(f48(f6(a2),x3862),f10(a2)),x3863,f5(a2))),f48(f48(f6(a2),x3862),f10(a2)))),f48(f48(f48(a24,f12(x3861)),f21(x3862,x3863,f5(a2))),x3862))
% 0.85/0.92 [343]E(f48(f48(f6(a2),f48(f48(f6(a2),x3431),x3432)),x3433),f48(f48(f6(a2),x3431),f48(f48(f6(a2),x3432),x3433)))
% 0.85/0.92 [346]E(f48(f48(f48(a24,f48(f48(a22,x3461),x3462)),x3463),x3462),x3461)
% 0.85/0.92 [340]E(f37(x3401,f23(x3402,x3403,x3404),x3404),f23(f37(x3401,x3402,x3404),x3403,x3404))
% 0.85/0.92 [342]E(f23(f23(x3421,x3422,x3423),x3424,x3423),f23(x3421,f23(x3422,x3424,x3423),x3423))
% 0.85/0.92 [349]E(f41(f37(x3491,x3492,x3493),f5(a2),x3494,x3493),f37(x3494,x3492,x3493))
% 0.85/0.92 [351]E(f42(f48(f48(f6(a2),x3511),f10(a2)),f37(x3512,x3513,x3514),x3514),f37(x3512,f42(x3511,x3513,x3514),x3514))
% 0.85/0.92 [357]E(f48(f51(x3571,x3572,x3573,x3574),x3572),x3573)
% 0.85/0.92 [363]E(f39(f40(x3631,x3632,x3633,x3634),x3634),f40(x3631,f39(x3632,x3633),x3633,x3634))
% 0.85/0.92 [373]E(f38(x3731,x3732,f20(x3733),x3734,x3733),x3732)
% 0.85/0.92 [429]~E(f38(a15,f12(x4291),x4292,a59,a59),f38(a15,f4(x4293),x4294,a59,a59))
% 0.85/0.92 [355]E(f48(f48(a15,f21(x3551,x3552,x3553)),f21(x3551,x3554,x3553)),f21(x3551,f48(f48(a15,x3552),x3554),x3553))
% 0.85/0.92 [428]~E(f48(f48(a15,f12(x4281)),x4282),f38(a15,f4(x4283),x4284,a59,a59))
% 0.85/0.92 [367]E(f48(f48(a15,f48(f48(f48(a24,x3671),x3672),x3673)),f48(f48(f48(a24,x3674),x3672),x3673)),f48(f48(f48(a24,f48(f48(a15,x3671),x3674)),x3672),x3673))
% 0.85/0.92 [399]E(f38(a15,f48(f48(f48(a24,x3991),x3992),x3993),f40(f9(f9(a24,x3992,a59,a59,f61(a2,a59)),x3993,a59,a2,a59),x3994,a59,a59),a59,a59),f48(f48(f48(a24,f38(a15,x3991,x3994,a59,a59)),x3992),x3993))
% 0.85/0.92 [366]E(f42(x3661,f40(x3662,x3663,x3664,x3665),x3665),f40(x3662,f42(x3661,x3663,x3664),x3664,x3665))
% 0.85/0.92 [369]E(f40(x3691,f37(x3692,x3693,x3694),x3694,x3695),f37(f48(x3691,x3692),f40(x3691,x3693,x3694,x3695),x3695))
% 0.85/0.92 [370]E(f37(f48(x3701,x3702),f40(x3701,x3703,x3704,x3705),x3705),f40(x3701,f37(x3702,x3703,x3704),x3704,x3705))
% 0.85/0.92 [371]E(f41(f41(x3711,x3712,x3713,x3714),x3712,x3715,x3714),f41(x3711,x3712,x3715,x3714))
% 0.85/0.92 [378]E(f17(x3781,x3782,x3783,f4(x3784),x3785),f48(x3781,x3784))
% 0.85/0.92 [379]E(f17(x3791,x3792,x3793,f12(x3794),x3795),f48(x3793,x3794))
% 0.85/0.92 [380]E(f18(x3801,x3802,x3803,f4(x3804),x3805),f48(x3801,x3804))
% 0.85/0.92 [383]E(f23(f40(x3831,x3832,x3833,x3834),f40(x3831,x3835,x3833,x3834),x3834),f40(x3831,f23(x3832,x3835,x3833),x3833,x3834))
% 0.85/0.92 [394]E(f48(f48(x3941,x3942),f18(x3943,x3944,x3941,x3942,x3945)),f18(x3943,x3944,x3941,f12(x3942),x3945))
% 0.85/0.92 [372]E(f41(f37(x3721,x3722,x3723),f48(f48(f6(a2),x3724),f10(a2)),x3725,x3723),f37(x3721,f41(x3722,x3724,x3725,x3723),x3723))
% 0.85/0.92 [385]E(f51(f51(x3851,f5(a2),x3852,x3853),f48(f48(f6(a2),x3854),f10(a2)),x3855,x3853),f51(f51(x3851,x3854,x3855,x3853),f5(a2),x3852,x3853))
% 0.85/0.92 [384]E(f40(x3841,f41(x3842,x3843,x3844,x3845),x3845,x3846),f41(f40(x3841,x3842,x3845,x3846),x3843,f48(x3841,x3844),x3846))
% 0.85/0.92 [388]E(f48(f8(x3881,x3882,x3883,x3884,x3885),x3886),f48(x3881,f48(x3882,x3886)))
% 0.85/0.92 [390]E(f48(f9(x3901,x3902,x3903,x3904,x3905),x3906),f48(f48(x3901,x3906),x3902))
% 0.85/0.92 [393]E(f40(x3931,f40(x3932,x3933,x3934,x3935),x3935,x3936),f40(f8(x3931,x3932,x3935,x3936,x3934),x3933,x3934,x3936))
% 0.85/0.92 [395]E(f38(x3951,f38(x3951,x3952,x3953,x3954,x3955),x3956,x3954,x3955),f38(x3951,x3952,f23(x3953,x3956,x3955),x3954,x3955))
% 0.85/0.92 [382]E(f17(x3821,x3822,x3823,f48(f48(a15,x3824),x3825),x3826),f48(f48(x3822,x3824),x3825))
% 0.85/0.92 [392]E(f38(x3921,x3922,f37(x3923,x3924,x3925),x3926,x3925),f38(x3921,f48(f48(x3921,x3922),x3923),x3924,x3926,x3925))
% 0.85/0.92 [397]E(f48(f48(f48(f48(x3971,x3972),x3973),f18(x3974,x3971,x3975,x3972,x3976)),f18(x3974,x3971,x3975,x3973,x3976)),f18(x3974,x3971,x3975,f48(f48(a15,x3972),x3973),x3976))
% 0.85/0.92 [396]E(f8(x3961,f8(x3962,x3963,x3964,x3965,x3966),x3965,x3967,x3966),f8(f8(x3961,x3962,x3965,x3967,x3964),x3963,x3964,x3967,x3966))
% 0.85/0.92 [434]~P42(x4341)+~E(f10(x4341),f5(x4341))
% 0.85/0.92 [435]~P29(x4351)+P8(f6(x4351),x4351)
% 0.85/0.92 [446]E(x4461,f5(a2))+P5(f5(a2),x4461,a2)
% 0.85/0.92 [468]~P32(x4681)+P11(f5(x4681),f10(x4681),x4681)
% 0.85/0.92 [469]~P32(x4691)+P5(f5(x4691),f10(x4691),x4691)
% 0.85/0.92 [506]~P32(x5061)+~P11(f10(x5061),f5(x5061),x5061)
% 0.85/0.92 [507]~P32(x5071)+~P5(f10(x5071),f5(x5071),x5071)
% 0.85/0.92 [436]~P41(x4361)+E(f46(f5(a2),x4361),f5(x4361))
% 0.85/0.92 [437]~P41(x4371)+E(f46(f10(a2),x4371),f10(x4371))
% 0.85/0.92 [474]~P13(x4741)+E(f48(f48(f6(x4741),f5(x4741)),f5(x4741)),f5(x4741))
% 0.85/0.92 [476]~P43(f48(a11,x4761))+P43(f48(a11,f12(x4761)))
% 0.85/0.92 [586]~P32(x5861)+P5(f5(x5861),f48(f48(f6(x5861),f10(x5861)),f10(x5861)),x5861)
% 0.85/0.92 [617]E(x6171,f5(a2))+~P5(x6171,f48(f48(f6(a2),f5(a2)),f10(a2)),a2)
% 0.85/0.92 [690]~P5(f5(a2),x6901,a2)+E(f48(f48(f6(a2),f7(x6901,f10(a2),a2)),f10(a2)),x6901)
% 0.85/0.92 [764]~P5(f5(a2),x7641,a2)+E(f48(f48(f6(a2),f7(x7641,f48(f48(f6(a2),f5(a2)),f10(a2)),a2)),f10(a2)),x7641)
% 0.85/0.92 [823]~P4(a11,x8231,a59)+P4(a11,f40(f9(a22,f5(a2),a59,a2,a59),x8231,a59,a59),a59)
% 0.85/0.92 [448]~P30(x4482)+P11(x4481,x4481,x4482)
% 0.85/0.92 [449]~P31(x4492)+P11(x4491,x4491,x4492)
% 0.85/0.92 [483]~P5(x4832,x4832,x4831)+~P1(x4831)
% 0.85/0.92 [484]~P5(x4842,x4842,x4841)+~P30(x4841)
% 0.85/0.92 [485]~P5(x4852,x4852,x4851)+~P31(x4851)
% 0.85/0.92 [431]E(x4311,x4312)+~E(f4(x4311),f4(x4312))
% 0.85/0.92 [432]E(x4321,x4322)+~E(f12(x4321),f12(x4322))
% 0.85/0.92 [439]~E(f39(x4391,x4392),f20(x4392))+E(x4391,f20(x4392))
% 0.85/0.92 [440]~P30(x4402)+P30(f61(x4401,x4402))
% 0.85/0.92 [441]~P31(x4412)+P31(f61(x4411,x4412))
% 0.85/0.92 [451]~P22(x4512)+E(f7(x4511,x4511,x4512),f5(x4512))
% 0.85/0.92 [452]~P15(x4522)+E(f7(x4521,x4521,x4522),f5(x4522))
% 0.85/0.92 [487]~P32(x4871)+P11(f5(x4871),f46(x4872,x4871),x4871)
% 0.85/0.92 [525]~P32(x5251)+~P5(f46(x5252,x5251),f5(x5251),x5251)
% 0.85/0.92 [616]~P5(x6162,x6161,a2)+P5(f5(a2),f7(x6161,x6162,a2),a2)
% 0.85/0.92 [643]P5(x6431,x6432,a2)+~P5(f5(a2),f7(x6432,x6431,a2),a2)
% 0.85/0.92 [453]~P23(x4532)+E(f50(x4531,f10(a2),x4532),x4531)
% 0.85/0.92 [454]~P35(x4542)+E(f50(x4541,f10(a2),x4542),x4541)
% 0.85/0.92 [455]~P14(x4551)+E(f48(f48(f6(x4551),x4552),f5(x4551)),x4552)
% 0.85/0.92 [456]~P35(x4561)+E(f48(f48(f6(x4561),x4562),f5(x4561)),x4562)
% 0.85/0.92 [457]~P24(x4571)+E(f48(f48(f6(x4571),x4572),f5(x4571)),x4572)
% 0.85/0.92 [458]~P22(x4582)+E(f7(x4581,f5(x4582),x4582),x4581)
% 0.85/0.92 [459]~P33(x4592)+E(f50(x4591,f5(a2),x4592),f10(x4592))
% 0.85/0.92 [460]~P35(x4602)+E(f50(x4601,f5(a2),x4602),f10(x4602))
% 0.85/0.92 [461]~P23(x4611)+E(f50(f10(x4611),x4612,x4611),f10(x4611))
% 0.85/0.92 [556]~P32(x5562)+P5(x5561,f48(f48(f6(x5562),x5561),f10(x5562)),x5562)
% 0.85/0.92 [581]P5(x5811,x5812,a2)+P5(x5812,f48(f48(f6(a2),x5811),f10(a2)),a2)
% 0.85/0.92 [585]P5(x5852,x5851,a2)+E(f48(f48(f6(a2),x5851),f7(x5852,x5851,a2)),x5852)
% 0.85/0.92 [601]~P43(f48(f48(a13,x6011),x6012))+P43(f48(f48(a13,f12(x6011)),f12(x6012)))
% 0.85/0.92 [656]~P5(x6561,x6562,a2)+~P5(x6562,f48(f48(f6(a2),x6561),f10(a2)),a2)
% 0.85/0.92 [721]P5(x7211,x7212,a2)+~P5(f48(f48(f6(a2),x7211),f10(a2)),f48(f48(f6(a2),x7212),f10(a2)),a2)
% 0.85/0.92 [805]~P41(x8051)+E(f47(f9(f6(x8051),f10(x8051),x8051,x8051,x8051),x8052,f5(x8051),x8051),f46(x8052,x8051))
% 0.85/0.92 [462]~P14(x4621)+E(f48(f48(f6(x4621),f5(x4621)),x4622),x4622)
% 0.85/0.92 [464]~P35(x4641)+E(f48(f48(f6(x4641),f5(x4641)),x4642),x4642)
% 0.85/0.92 [465]~P24(x4651)+E(f48(f48(f6(x4651),f5(x4651)),x4652),x4652)
% 0.85/0.92 [471]E(x4711,f5(a2))+~E(f48(f48(f6(a2),x4712),x4711),x4712)
% 0.85/0.92 [472]E(x4721,f5(a2))+~E(f48(f48(f6(a2),x4722),x4721),f5(a2))
% 0.85/0.92 [473]E(x4731,f5(a2))+~E(f48(f48(f6(a2),x4731),x4732),f5(a2))
% 0.85/0.92 [524]~P5(x5241,x5242,a2)+E(f48(f48(a22,f4(x5241)),x5242),f4(x5241))
% 0.85/0.92 [583]P5(x5831,x5832,a2)+E(f48(f48(a22,f4(x5831)),x5832),f4(f48(f48(f6(a2),x5831),f10(a2))))
% 0.85/0.92 [587]~P41(x5872)+E(f46(f48(f48(f6(a2),x5871),f10(a2)),x5872),f48(f48(f6(x5872),f10(x5872)),f46(x5871,x5872)))
% 0.85/0.92 [590]~P43(f48(a11,x5901))+P43(f48(a11,f48(f48(a22,x5901),x5902)))
% 0.85/0.92 [613]~P43(f48(a11,x6131))+P43(f48(a11,f48(f48(a15,x6131),f4(x6132))))
% 0.85/0.92 [716]~P5(f5(a2),x7161,a2)+P5(f7(x7161,f48(f48(f6(a2),x7162),f10(a2)),a2),x7161,a2)
% 0.85/0.92 [723]P43(f48(f48(f49(a13,a59),f12(x7231)),f12(x7232)))+~P43(f48(f48(f49(a13,a59),x7231),x7232))
% 0.85/0.92 [778]E(x7781,f5(a2))+E(f48(f48(f6(a2),f48(f48(f6(a2),f7(x7781,f10(a2),a2)),x7782)),f10(a2)),f48(f48(f6(a2),x7781),x7782))
% 0.85/0.92 [821]~P4(a11,x8212,a59)+P43(f48(a11,f38(a15,f4(x8211),x8212,a59,a59)))
% 0.85/0.92 [478]E(x4781,x4782)+~P3(x4781,x4782,x4783)
% 0.85/0.92 [444]E(x4441,x4442)+~E(f39(x4441,x4443),f39(x4442,x4443))
% 0.85/0.92 [481]~E(f23(x4813,x4811,x4812),x4813)+E(x4811,f20(x4812))
% 0.85/0.92 [482]~E(f23(x4821,x4823,x4822),x4823)+E(x4821,f20(x4822))
% 0.85/0.92 [491]~E(f23(x4913,x4911,x4912),f20(x4912))+E(x4911,f20(x4912))
% 0.85/0.92 [492]~E(f23(x4921,x4923,x4922),f20(x4922))+E(x4921,f20(x4922))
% 0.85/0.92 [502]~P7(x5021,f4(x5022),x5023)+E(f48(x5021,x5022),x5023)
% 0.85/0.92 [614]~P5(x6141,x6143,a2)+P5(f7(x6141,x6142,a2),x6143,a2)
% 0.85/0.92 [795]~E(f4(x7952),f38(a15,x7953,x7951,a59,a59))+E(x7951,f20(a59))
% 0.85/0.92 [796]~E(f12(x7962),f38(a15,x7963,x7961,a59,a59))+E(x7961,f20(a59))
% 0.85/0.92 [797]~E(f38(a15,x7972,x7971,a59,a59),f12(x7973))+E(x7971,f20(a59))
% 0.85/0.92 [799]E(x7991,f12(x7992))+~E(f38(a15,x7991,x7993,a59,a59),f12(x7992))
% 0.85/0.92 [800]E(f4(x8001),x8002)+~E(f4(x8001),f38(a15,x8002,x8003,a59,a59))
% 0.85/0.92 [801]E(f12(x8011),x8012)+~E(f12(x8011),f38(a15,x8012,x8013,a59,a59))
% 0.85/0.92 [810]E(x8101,x8102)+~E(f38(a15,x8101,x8103,a59,a59),f38(a15,x8102,x8103,a59,a59))
% 0.85/0.92 [531]~P5(x5312,x5313,a2)+E(f21(x5311,f4(x5312),x5313),f4(x5312))
% 0.85/0.92 [558]~E(f39(x5581,x5583),f37(x5582,f20(x5583),x5583))+E(x5581,f37(x5582,f20(x5583),x5583))
% 0.85/0.92 [559]~E(f37(x5592,f20(x5593),x5593),f39(x5591,x5593))+E(x5591,f37(x5592,f20(x5593),x5593))
% 0.85/0.92 [618]~P41(x6183)+E(f47(x6181,f5(a2),x6182,x6183),x6182)
% 0.85/0.92 [802]E(f48(f48(a15,x8021),x8022),x8023)+~E(f48(f48(a15,x8021),x8022),f38(a15,x8023,f20(a59),a59,a59))
% 0.85/0.92 [842]~P43(f48(f48(a13,x8421),x8423))+P43(f48(f48(a13,f38(a15,x8421,x8422,a59,a59)),f38(a15,x8423,x8422,a59,a59)))
% 0.85/0.92 [844]~P6(a13,x8442,x8443,a59)+P43(f48(f48(a13,f38(a15,x8441,x8442,a59,a59)),f38(a15,x8441,x8443,a59,a59)))
% 0.85/0.92 [503]~P14(x5031)+E(f48(f48(f6(x5031),x5032),x5033),f48(f48(f6(x5031),x5033),x5032))
% 0.85/0.92 [505]~P35(x5051)+E(f48(f48(f6(x5051),x5052),x5053),f48(f48(f6(x5051),x5053),x5052))
% 0.85/0.92 [527]E(x5271,x5272)+~E(f48(f48(f6(a2),x5273),x5271),f48(f48(f6(a2),x5273),x5272))
% 0.85/0.92 [528]E(x5281,x5282)+~E(f48(f48(f6(a2),x5281),x5283),f48(f48(f6(a2),x5282),x5283))
% 0.85/0.92 [596]~P5(x5961,x5963,a2)+P5(x5961,f48(f48(f6(a2),x5962),x5963),a2)
% 0.85/0.92 [598]~P5(x5981,x5982,a2)+P5(x5981,f48(f48(f6(a2),x5982),x5983),a2)
% 0.85/0.92 [632]~P22(x6321)+E(f48(f48(f6(x6321),f7(x6322,x6323,x6321)),x6323),x6322)
% 0.85/0.92 [634]P5(x6341,x6342,a2)+~P5(f48(f48(f6(a2),x6341),x6343),x6342,a2)
% 0.85/0.92 [653]~P5(x6531,x6533,a2)+P5(f48(f48(f6(a2),x6531),x6532),f48(f48(f6(a2),x6533),x6532),a2)
% 0.85/0.92 [654]~P5(x6542,x6543,a2)+P5(f48(f48(f6(a2),x6541),x6542),f48(f48(f6(a2),x6541),x6543),a2)
% 0.85/0.92 [700]P5(x7001,f7(x7002,x7003,a2),a2)+~P5(f48(f48(f6(a2),x7001),x7003),x7002,a2)
% 0.85/0.92 [702]~P5(x7021,f7(x7023,x7022,a2),a2)+P5(f48(f48(f6(a2),x7021),x7022),x7023,a2)
% 0.85/0.92 [714]P5(x7141,x7142,a2)+~P5(f48(f48(f6(a2),x7143),x7141),f48(f48(f6(a2),x7143),x7142),a2)
% 0.85/0.92 [753]~P43(f48(f48(a13,x7531),x7533))+P43(f48(f48(a13,f48(f48(a15,x7531),x7532)),f48(f48(a15,x7533),x7532)))
% 0.85/0.92 [754]~P43(f48(f48(a13,x7542),x7543))+P43(f48(f48(a13,f48(f48(a15,x7541),x7542)),f48(f48(a15,x7541),x7543)))
% 0.85/0.92 [755]~P43(f48(f48(a13,x7551),x7553))+P43(f48(f48(a13,f48(f48(a22,x7551),x7552)),f48(f48(a22,x7553),x7552)))
% 0.85/0.92 [766]~P43(f48(f48(f49(a13,a59),x7661),x7663))+P43(f48(f48(f49(a13,a59),f48(f48(a15,x7661),x7662)),f48(f48(a15,x7663),x7662)))
% 0.85/0.92 [767]~P43(f48(f48(f49(a13,a59),x7672),x7673))+P43(f48(f48(f49(a13,a59),f48(f48(a15,x7671),x7672)),f48(f48(a15,x7671),x7673)))
% 0.85/0.92 [768]~P43(f48(f48(f49(a13,a59),x7681),x7683))+P43(f48(f48(f49(a13,a59),f48(f48(a22,x7681),x7682)),f48(f48(a22,x7683),x7682)))
% 0.85/0.92 [807]~P24(x8071)+E(f48(f48(f6(x8071),x8072),f38(f6(x8071),f5(x8071),x8073,x8071,x8071)),f38(f6(x8071),x8072,x8073,x8071,x8071))
% 0.85/0.92 [843]P43(f48(f48(f49(a13,a59),f38(a15,x8431,x8432,a59,a59)),f38(a15,x8433,x8432,a59,a59)))+~P43(f48(f48(f49(a13,a59),x8431),x8433))
% 0.85/0.92 [544]~P22(x5441)+E(f7(f48(f48(f6(x5441),x5442),x5443),x5443,x5441),x5442)
% 0.85/0.92 [579]~P5(x5791,x5793,a2)+E(f48(f48(f48(a24,f4(x5791)),x5792),x5793),f4(x5791))
% 0.85/0.92 [588]P5(x5882,x5883,a2)+E(f21(x5881,f4(x5882),x5883),f4(f48(f48(f6(a2),x5882),x5881)))
% 0.85/0.92 [615]~P41(x6151)+E(f48(f48(f6(x6151),f46(x6152,x6151)),f46(x6153,x6151)),f46(f48(f48(f6(a2),x6152),x6153),x6151))
% 0.85/0.92 [645]~P5(x6453,x6451,a2)+E(f48(f48(f48(a24,f4(x6451)),x6452),x6453),f4(f7(x6451,f10(a2),a2)))
% 0.85/0.92 [727]~P43(f48(a11,x7271))+P43(f48(a11,f48(f48(f48(a24,x7271),f4(x7272)),x7273)))
% 0.85/0.92 [758]~P5(x7582,f48(f48(f6(a2),x7583),f10(a2)),a2)+E(f48(f48(a22,f48(f48(a22,x7581),x7582)),f48(f48(f6(a2),x7583),f10(a2))),f48(f48(a22,f48(f48(a22,x7581),x7583)),x7582))
% 0.85/0.92 [847]P6(a13,x8471,f36(x8472,x8471,x8473),a59)+~P43(f48(f48(a13,f38(a15,f4(x8472),x8471,a59,a59)),x8473))
% 0.85/0.92 [850]E(f38(a15,f4(x8501),f36(x8501,x8502,x8503),a59,a59),x8503)+~P43(f48(f48(a13,f38(a15,f4(x8501),x8502,a59,a59)),x8503))
% 0.85/0.92 [774]P43(f48(x7741,x7742))+~P43(f48(x7741,f7(f48(f48(f6(a2),x7743),x7742),x7743,a2)))
% 0.85/0.92 [442]E(x4421,x4422)+~E(f52(x4423,x4421),f52(x4424,x4422))
% 0.85/0.92 [443]E(x4431,x4432)+~E(f52(x4431,x4433),f52(x4432,x4434))
% 0.85/0.92 [549]E(x5491,x5492)+~E(f23(x5493,x5491,x5494),f23(x5493,x5492,x5494))
% 0.85/0.92 [551]E(x5511,x5512)+~E(f23(x5511,x5513,x5514),f23(x5512,x5513,x5514))
% 0.85/0.92 [647]P4(x6471,x6472,x6473)+~P4(x6471,f23(x6474,x6472,x6473),x6473)
% 0.85/0.92 [648]P4(x6481,x6482,x6483)+~P4(x6481,f23(x6482,x6484,x6483),x6483)
% 0.85/0.92 [706]~E(f40(x7063,x7061,x7062,x7064),f20(x7064))+E(x7061,f20(x7062))
% 0.85/0.92 [707]~E(f41(x7071,x7073,x7074,x7072),f20(x7072))+E(x7071,f20(x7072))
% 0.85/0.92 [818]P10(x8181,x8182,f53(x8183,x8181,x8184,x8182))+~P7(x8181,f38(a15,x8184,x8182,a59,a59),x8183)
% 0.85/0.92 [819]P10(x8191,x8192,f54(x8193,x8191,x8194,x8192))+~P7(x8191,f38(a15,x8194,x8192,a59,a59),x8193)
% 0.85/0.92 [513]E(x5131,x5132)+~E(f48(f48(a15,x5133),x5131),f48(f48(a15,x5134),x5132))
% 0.85/0.92 [514]E(x5141,x5142)+~E(f48(f48(a15,x5141),x5143),f48(f48(a15,x5142),x5144))
% 0.85/0.92 [522]~P9(x5222,x5221,x5224)+E(f48(f48(x5221,x5222),x5223),x5223)
% 0.85/0.92 [523]~P9(x5233,x5231,x5234)+E(f48(f48(x5231,x5232),x5233),x5232)
% 0.85/0.92 [589]~E(f14(x5891,a2),f5(a2))+E(f42(f14(x5891,a2),f37(x5892,x5893,x5894),x5894),f20(x5894))
% 0.85/0.92 [772]P7(x7721,f12(x7722),f52(x7723,x7724))+~P7(f51(x7721,f5(a2),x7723,a60),x7722,x7724)
% 0.85/0.92 [812]E(x8121,x8122)+~E(f38(a15,f4(x8123),x8121,a59,a59),f38(a15,f4(x8124),x8122,a59,a59))
% 0.85/0.92 [813]E(x8131,x8132)+~E(f38(a15,f12(x8133),x8131,a59,a59),f38(a15,f12(x8134),x8132,a59,a59))
% 0.85/0.92 [814]E(x8141,x8142)+~E(f38(a15,f4(x8141),x8143,a59,a59),f38(a15,f4(x8142),x8144,a59,a59))
% 0.85/0.92 [815]E(x8151,x8152)+~E(f38(a15,f12(x8151),x8153,a59,a59),f38(a15,f12(x8152),x8154,a59,a59))
% 0.85/0.92 [820]P10(x8201,x8202,f55(x8203,x8201,x8204,x8202))+~P7(x8201,f38(a15,f4(x8204),x8202,a59,a59),x8203)
% 0.85/0.92 [646]~E(f39(x6461,x6463),f37(x6464,x6462,x6463))+E(x6461,f23(f39(x6462,x6463),f37(x6464,f20(x6463),x6463),x6463))
% 0.85/0.92 [649]~P43(f48(f48(x6491,x6493),x6494))+P43(f48(f48(f49(x6491,x6492),x6493),x6494))
% 0.85/0.92 [752]~P41(x7524)+E(f47(x7521,f48(f48(f6(a2),x7522),f10(a2)),x7523,x7524),f47(x7521,x7522,f48(x7521,x7523),x7524))
% 0.85/0.92 [650]~P14(x6501)+E(f48(f48(f6(x6501),x6502),f48(f48(f6(x6501),x6503),x6504)),f48(f48(f6(x6501),x6503),f48(f48(f6(x6501),x6502),x6504)))
% 0.85/0.92 [651]~P15(x6511)+E(f48(f48(f6(x6511),x6512),f48(f48(f6(x6511),x6513),x6514)),f48(f48(f6(x6511),x6513),f48(f48(f6(x6511),x6512),x6514)))
% 0.85/0.92 [652]~P35(x6521)+E(f48(f48(f6(x6521),x6522),f48(f48(f6(x6521),x6523),x6524)),f48(f48(f6(x6521),x6523),f48(f48(f6(x6521),x6522),x6524)))
% 0.85/0.92 [739]E(x7391,f5(a2))+E(f37(x7392,f42(f7(x7391,f10(a2),a2),x7393,x7394),x7394),f42(x7391,f37(x7392,x7393,x7394),x7394))
% 0.85/0.92 [781]~P43(f48(f48(a13,x7811),x7814))+P43(f48(f48(a13,f48(f48(f48(a24,x7811),x7812),x7813)),f48(f48(f48(a24,x7814),x7812),x7813)))
% 0.85/0.92 [783]~P43(f48(f48(a13,x7832),x7834))+P43(f48(f48(f49(a13,a59),f48(f48(f48(a24,x7831),x7832),x7833)),f48(f48(f48(a24,x7831),x7834),x7833)))
% 0.85/0.92 [786]~P43(f48(f48(f49(a13,a59),x7861),x7864))+P43(f48(f48(f49(a13,a59),f48(f48(f48(a24,x7861),x7862),x7863)),f48(f48(f48(a24,x7864),x7862),x7863)))
% 0.85/0.92 [787]~P43(f48(f48(f49(a13,a59),x7872),x7874))+P43(f48(f48(f49(a13,a59),f48(f48(f48(a24,x7871),x7872),x7873)),f48(f48(f48(a24,x7871),x7874),x7873)))
% 0.85/0.92 [811]~P29(x8111)+E(f38(f6(x8111),f48(f48(f6(x8111),x8112),x8113),x8114,x8111,x8111),f48(f48(f6(x8111),x8112),f38(f6(x8111),x8113,x8114,x8111,x8111)))
% 0.85/0.92 [711]~P14(x7111)+E(f48(f48(f6(x7111),f48(f48(f6(x7111),x7112),x7113)),x7114),f48(f48(f6(x7111),x7112),f48(f48(f6(x7111),x7113),x7114)))
% 0.85/0.92 [712]~P35(x7121)+E(f48(f48(f6(x7121),f48(f48(f6(x7121),x7122),x7123)),x7124),f48(f48(f6(x7121),x7122),f48(f48(f6(x7121),x7123),x7124)))
% 0.85/0.92 [713]~P19(x7131)+E(f48(f48(f6(x7131),f48(f48(f6(x7131),x7132),x7133)),x7134),f48(f48(f6(x7131),x7132),f48(f48(f6(x7131),x7133),x7134)))
% 0.85/0.92 [737]~P35(x7371)+E(f48(f48(f6(x7371),f48(f48(f6(x7371),x7372),x7373)),x7374),f48(f48(f6(x7371),f48(f48(f6(x7371),x7372),x7374)),x7373))
% 0.85/0.92 [782]~P5(x7822,f48(f48(f6(a2),x7824),f10(a2)),a2)+E(f48(f48(f48(a24,f48(f48(a22,x7821),x7822)),f48(f48(a22,x7823),x7822)),f48(f48(f6(a2),x7824),f10(a2))),f48(f48(a22,f48(f48(f48(a24,x7821),x7823),x7824)),x7822))
% 0.85/0.92 [798]~P5(x7984,f48(f48(f6(a2),x7982),f10(a2)),a2)+E(f48(f48(f48(a24,f48(f48(a22,x7981),f48(f48(f6(a2),x7982),f10(a2)))),f48(f48(a22,x7983),x7982)),x7984),f48(f48(a22,f48(f48(f48(a24,x7981),x7983),x7984)),x7982))
% 0.85/0.92 [548]E(x5481,x5482)+~E(f37(x5483,x5481,x5484),f37(x5485,x5482,x5484))
% 0.85/0.92 [550]E(x5501,x5502)+~E(f37(x5501,x5503,x5504),f37(x5502,x5505,x5504))
% 0.85/0.92 [769]~P6(x7691,x7693,x7695,x7694)+P6(x7691,f37(x7692,x7693,x7694),f37(x7692,x7695,x7694),x7694)
% 0.85/0.92 [770]~P6(x7701,x7702,x7705,x7704)+P6(x7701,f23(x7702,x7703,x7704),f23(x7705,x7703,x7704),x7704)
% 0.85/0.92 [771]~P6(x7711,x7713,x7715,x7714)+P6(x7711,f23(x7712,x7713,x7714),f23(x7712,x7715,x7714),x7714)
% 0.85/0.92 [748]P6(x7481,f37(x7482,x7483,x7484),f37(x7485,x7483,x7484),x7484)+~P43(f48(f48(x7481,x7482),x7485))
% 0.85/0.92 [749]~P5(x7495,x7492,a2)+E(f48(f51(x7491,x7492,x7493,x7494),x7495),f48(x7491,x7495))
% 0.85/0.92 [759]~P7(x7591,x7594,x7595)+P7(f51(x7591,x7592,x7593,a60),f48(f48(a22,x7594),x7592),x7595)
% 0.85/0.92 [808]~P9(x8083,x8081,x8085)+E(f48(f48(x8081,x8082),f38(x8081,x8083,x8084,x8085,x8085)),f38(x8081,x8082,x8084,x8085,x8085))
% 0.85/0.92 [824]~P10(x8241,x8244,x8245)+P10(f51(x8241,x8242,x8243,a60),f40(f9(a22,x8242,a59,a2,a59),x8244,a59,a59),x8245)
% 0.85/0.92 [836]E(f40(x8361,x8362,x8363,x8364),f40(x8365,x8362,x8363,x8364))+~E(f48(x8361,f43(x8361,x8365,x8362,x8363,x8364)),f48(x8365,f43(x8361,x8365,x8362,x8363,x8364)))
% 0.85/0.92 [837]E(f40(x8371,x8372,x8373,x8374),f40(x8375,x8372,x8373,x8374))+~E(f48(x8371,f44(x8371,x8375,x8372,x8373,x8374)),f48(x8375,f44(x8371,x8375,x8372,x8373,x8374)))
% 0.85/0.92 [838]E(f40(x8381,x8382,x8383,x8384),f40(x8385,x8382,x8383,x8384))+~E(f48(x8381,f45(x8381,x8385,x8382,x8383,x8384)),f48(x8385,f45(x8381,x8385,x8382,x8383,x8384)))
% 0.85/0.92 [741]E(x7411,x7412)+~E(f23(x7413,f37(x7411,f20(x7414),x7414),x7414),f23(x7415,f37(x7412,f20(x7414),x7414),x7414))
% 0.85/0.92 [742]E(x7421,x7422)+~E(f23(x7421,f37(x7423,f20(x7424),x7424),x7424),f23(x7422,f37(x7425,f20(x7424),x7424),x7424))
% 0.85/0.92 [760]~P5(x7602,x7605,a2)+E(f48(f51(x7601,x7602,x7603,x7604),x7605),f48(x7601,f7(x7605,f10(a2),a2)))
% 0.85/0.92 [809]~P8(x8091,x8095)+E(f38(x8091,f48(f48(x8091,x8092),x8093),x8094,x8095,x8095),f48(f48(x8091,x8092),f38(x8091,x8093,x8094,x8095,x8095)))
% 0.85/0.92 [830]P43(f48(x8301,f48(x8302,x8303)))+~P43(f48(x8301,f17(x8304,x8305,x8302,f12(x8303),a57)))
% 0.85/0.92 [832]P43(f48(x8321,f48(x8322,x8323)))+~P43(f48(x8321,f17(x8322,x8324,x8325,f4(x8323),a57)))
% 0.85/0.92 [672]~P8(x6721,x6725)+E(f48(f48(x6721,f48(f48(x6721,x6722),x6723)),x6724),f48(f48(x6721,x6722),f48(f48(x6721,x6723),x6724)))
% 0.85/0.92 [761]~P35(x7611)+E(f48(f48(f6(x7611),f48(f48(f6(x7611),x7612),x7613)),f48(f48(f6(x7611),x7614),x7615)),f48(f48(f6(x7611),f48(f48(f6(x7611),x7612),x7614)),f48(f48(f6(x7611),x7613),x7615)))
% 0.85/0.92 [817]~P5(x8173,f48(f48(f6(a2),x8174),f10(a2)),a2)+E(f48(f48(f48(a24,f48(f48(f48(a24,x8171),f48(f48(a22,x8172),x8173)),f48(f48(f6(a2),x8174),f10(a2)))),f48(f48(f48(a24,x8175),x8172),x8174)),x8173),f48(f48(f48(a24,f48(f48(f48(a24,x8171),x8175),x8173)),x8172),x8174))
% 0.85/0.92 [790]E(x7901,x7902)+E(f41(f41(x7903,x7901,x7904,x7905),x7902,x7906,x7905),f41(f41(x7903,x7902,x7906,x7905),x7901,x7904,x7905))
% 0.85/0.92 [840]P43(f48(x8401,f48(f48(x8402,x8403),x8404)))+~P43(f48(x8401,f17(x8405,x8402,x8406,f48(f48(a15,x8403),x8404),a57)))
% 0.85/0.92 [816]~E(f8(x8161,x8162,x8166,x8167,x8168),f8(x8164,x8165,x8169,x8167,x8168))+E(f48(x8161,f48(x8162,x8163)),f48(x8164,f48(x8165,x8163)))
% 0.85/0.92 [822]~E(f48(x8221,f48(x8222,x8226)),f48(x8227,f48(x8228,x82211)))+E(f48(f8(x8221,x8222,x8223,x8224,x8225),x8226),f48(f8(x8227,x8228,x8229,x8224,x82210),x82211))
% 0.85/0.92 [576]~P25(x5761)+~P11(f5(x5761),f5(x5761),x5761)+E(f48(f48(f6(x5761),f5(x5761)),f5(x5761)),f5(x5761))
% 0.85/0.92 [501]E(x5011,x5012)+P5(x5012,x5011,a2)+P5(x5011,x5012,a2)
% 0.85/0.92 [466]~P17(x4662)+~P34(x4662)+E(f7(x4661,x4661,x4662),f5(x4662))
% 0.85/0.92 [557]E(x5571,x5572)+~E(f7(x5572,x5571,a2),f5(a2))+~E(f7(x5571,x5572,a2),f5(a2))
% 0.85/0.92 [575]~P32(x5751)+P5(f5(x5751),f46(x5752,x5751),x5751)+~P5(f5(a2),x5752,a2)
% 0.85/0.92 [580]~P32(x5802)+~P5(f5(x5802),f46(x5801,x5802),x5802)+P5(f5(a2),x5801,a2)
% 0.85/0.92 [671]P5(f7(x6711,x6712,a2),x6711,a2)+~P5(f5(a2),x6712,a2)+~P5(f5(a2),x6711,a2)
% 0.85/0.92 [467]~P17(x4671)+~P34(x4671)+E(f48(f48(f6(x4671),x4672),f5(x4671)),x4672)
% 0.85/0.92 [636]~P5(x6361,x6362,a2)+P5(f48(f48(f6(a2),x6361),f10(a2)),x6362,a2)+E(f48(f48(f6(a2),x6361),f10(a2)),x6362)
% 0.85/0.92 [638]E(x6381,x6382)+P5(x6382,x6381,a2)+~P5(x6382,f48(f48(f6(a2),x6381),f10(a2)),a2)
% 0.85/0.92 [640]E(x6401,x6402)+P5(x6401,x6402,a2)+~P5(x6401,f48(f48(f6(a2),x6402),f10(a2)),a2)
% 0.85/0.92 [493]~P13(x4932)+E(x4931,f5(x4932))+~E(f48(f48(f6(x4932),x4931),x4931),f5(x4932))
% 0.85/0.92 [545]E(x5451,f5(a2))+E(x5452,f5(a2))+~E(f48(f48(f6(a2),x5452),x5451),f48(f48(f6(a2),f5(a2)),f10(a2)))
% 0.85/0.92 [546]E(x5461,f5(a2))+E(x5462,f5(a2))+~E(f48(f48(f6(a2),f5(a2)),f10(a2)),f48(f48(f6(a2),x5462),x5461))
% 0.85/0.92 [555]~P39(x5551)+~P33(x5551)+E(f50(f5(x5551),f48(f48(f6(a2),x5552),f10(a2)),x5551),f5(x5551))
% 0.85/0.92 [591]E(x5911,f5(a2))+E(x5911,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),x5912),x5911),f48(f48(f6(a2),f5(a2)),f10(a2)))
% 0.85/0.92 [592]E(x5921,f5(a2))+E(x5921,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),x5921),x5922),f48(f48(f6(a2),f5(a2)),f10(a2)))
% 0.85/0.92 [593]E(x5931,f5(a2))+E(x5931,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),f5(a2)),f10(a2)),f48(f48(f6(a2),x5932),x5931))
% 0.85/0.92 [594]E(x5941,f5(a2))+E(x5941,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),f5(a2)),f10(a2)),f48(f48(f6(a2),x5941),x5942))
% 0.85/0.92 [622]~P13(x6221)+~P11(f5(x6221),x6222,x6221)+P11(f5(x6221),f48(f48(f6(x6221),x6222),x6222),x6221)
% 0.85/0.92 [623]~P13(x6231)+~P5(f5(x6231),x6232,x6231)+P5(f5(x6231),f48(f48(f6(x6231),x6232),x6232),x6231)
% 0.85/0.92 [624]~P13(x6241)+~P11(x6242,f5(x6241),x6241)+P11(f48(f48(f6(x6241),x6242),x6242),f5(x6241),x6241)
% 0.85/0.92 [625]~P13(x6251)+~P5(x6252,f5(x6251),x6251)+P5(f48(f48(f6(x6251),x6252),x6252),f5(x6251),x6251)
% 0.85/0.92 [626]~P36(x6261)+~P5(x6262,f5(x6261),x6261)+P5(f48(f48(f6(x6261),x6262),x6262),f5(x6261),x6261)
% 0.85/0.92 [630]E(x6301,f48(f48(f6(a2),f5(a2)),f10(a2)))+E(x6302,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),x6302),x6301),f48(f48(f6(a2),f5(a2)),f10(a2)))
% 0.85/0.92 [631]E(x6311,f48(f48(f6(a2),f5(a2)),f10(a2)))+E(x6312,f48(f48(f6(a2),f5(a2)),f10(a2)))+~E(f48(f48(f6(a2),f5(a2)),f10(a2)),f48(f48(f6(a2),x6312),x6311))
% 0.85/0.92 [661]~P13(x6612)+P11(x6611,f5(x6612),x6612)+~P11(f48(f48(f6(x6612),x6611),x6611),f5(x6612),x6612)
% 0.85/0.92 [662]~P13(x6622)+P5(x6621,f5(x6622),x6622)+~P5(f48(f48(f6(x6622),x6621),x6621),f5(x6622),x6622)
% 0.85/0.92 [663]~P36(x6632)+P5(x6631,f5(x6632),x6632)+~P5(f48(f48(f6(x6632),x6631),x6631),f5(x6632),x6632)
% 0.85/0.92 [664]~P13(x6641)+P11(f5(x6641),x6642,x6641)+~P11(f5(x6641),f48(f48(f6(x6641),x6642),x6642),x6641)
% 0.85/0.92 [665]~P13(x6651)+P5(f5(x6651),x6652,x6651)+~P5(f5(x6651),f48(f48(f6(x6651),x6652),x6652),x6651)
% 0.85/0.92 [674]P5(f5(a2),x6741,a2)+P5(f5(a2),x6742,a2)+~P5(f5(a2),f48(f48(f6(a2),x6741),x6742),a2)
% 0.85/0.92 [834]P43(f48(x8341,x8342))+P43(f48(x8341,f28(x8341)))+~P43(f48(x8341,f38(a15,f4(f29(x8341)),f30(x8341),a59,a59)))
% 0.85/0.92 [835]P43(f48(x8351,x8352))+P43(f48(x8351,f32(x8351)))+~P43(f48(x8351,f38(a15,f4(f33(x8351)),f34(x8351),a59,a59)))
% 0.85/0.92 [845]P43(f48(x8451,x8452))+~P43(f48(x8451,f38(a15,f4(f29(x8451)),f30(x8451),a59,a59)))+~P43(f48(x8451,f38(a15,f12(f28(x8451)),f31(x8451),a59,a59)))
% 0.85/0.92 [846]P43(f48(x8461,x8462))+~P43(f48(x8461,f38(a15,f4(f33(x8461)),f34(x8461),a59,a59)))+~P43(f48(x8461,f38(a15,f12(f32(x8461)),f35(x8461),a59,a59)))
% 0.85/0.92 [508]P11(x5082,x5081,x5083)+~P1(x5083)+P11(x5081,x5082,x5083)
% 0.85/0.92 [511]P5(x5112,x5111,x5113)+~P1(x5113)+P11(x5111,x5112,x5113)
% 0.85/0.92 [529]~P30(x5293)+~P5(x5291,x5292,x5293)+P11(x5291,x5292,x5293)
% 0.85/0.92 [530]~P31(x5303)+~P5(x5301,x5302,x5303)+P11(x5301,x5302,x5303)
% 0.85/0.92 [561]~P5(x5613,x5612,x5611)+~P1(x5611)+~P11(x5612,x5613,x5611)
% 0.85/0.92 [563]~P5(x5633,x5632,x5631)+~P1(x5631)+~P5(x5632,x5633,x5631)
% 0.85/0.92 [564]~P5(x5643,x5642,x5641)+~P30(x5641)+~P5(x5642,x5643,x5641)
% 0.85/0.92 [565]~P5(x5653,x5652,x5651)+~P31(x5651)+~P11(x5652,x5653,x5651)
% 0.85/0.92 [567]~P5(x5673,x5672,x5671)+~P31(x5671)+~P5(x5672,x5673,x5671)
% 0.85/0.92 [445]~P18(x4453)+E(x4451,x4452)+~E(f46(x4451,x4453),f46(x4452,x4453))
% 0.85/0.92 [494]~E(f42(x4943,x4941,x4942),f20(x4942))+E(x4941,f20(x4942))+E(x4943,f5(a2))
% 0.85/0.92 [495]~P22(x4953)+E(x4951,x4952)+~E(f7(x4951,x4952,x4953),f5(x4953))
% 0.85/0.92 [496]~P15(x4963)+E(x4961,x4962)+~E(f7(x4961,x4962,x4963),f5(x4963))
% 0.85/0.92 [498]~P40(x4982)+~E(f50(x4981,x4983,x4982),f5(x4982))+E(x4981,f5(x4982))
% 0.85/0.92 [578]~P32(x5782)+~P5(x5781,x5783,a2)+P5(f46(x5781,x5782),f46(x5783,x5782),x5782)
% 0.85/0.92 [600]~P32(x6003)+~P5(f46(x6001,x6003),f46(x6002,x6003),x6003)+P5(x6001,x6002,a2)
% 0.85/0.92 [620]~P12(x6203)+~P11(x6201,x6202,x6203)+P11(f7(x6201,x6202,x6203),f5(x6203),x6203)
% 0.85/0.92 [621]~P12(x6213)+~P5(x6211,x6212,x6213)+P5(f7(x6211,x6212,x6213),f5(x6213),x6213)
% 0.85/0.92 [627]~P32(x6271)+~P11(f5(x6271),x6272,x6271)+P11(f5(x6271),f50(x6272,x6273,x6271),x6271)
% 0.85/0.92 [628]~P32(x6281)+~P11(f10(x6281),x6282,x6281)+P11(f10(x6281),f50(x6282,x6283,x6281),x6281)
% 0.85/0.92 [629]~P32(x6291)+~P5(f5(x6291),x6292,x6291)+P5(f5(x6291),f50(x6292,x6293,x6291),x6291)
% 0.85/0.92 [666]~P12(x6663)+P11(x6661,x6662,x6663)+~P11(f7(x6661,x6662,x6663),f5(x6663),x6663)
% 0.85/0.92 [667]~P12(x6673)+P5(x6671,x6672,x6673)+~P5(f7(x6671,x6672,x6673),f5(x6673),x6673)
% 0.85/0.92 [715]~P5(x7153,x7152,a2)+~P5(x7153,x7151,a2)+P5(f7(x7151,x7152,a2),f7(x7151,x7153,a2),a2)
% 0.85/0.92 [655]~P5(x6551,x6553,a2)+~P5(x6553,x6552,a2)+P5(f48(f48(f6(a2),x6551),f10(a2)),x6552,a2)
% 0.85/0.92 [734]~P5(x7342,x7343,a2)+~P43(f48(x7341,f7(x7342,x7343,a2)))+P43(f48(x7341,f5(a2)))
% 0.85/0.92 [729]~P32(x7291)+~P5(f10(x7291),x7292,x7291)+P5(f10(x7291),f50(x7292,f48(f48(f6(a2),x7293),f10(a2)),x7291),x7291)
% 0.85/0.92 [547]E(x5471,x5472)+P5(x5472,x5471,a2)+E(f48(f48(f48(a24,f4(x5471)),x5473),x5472),f4(x5471))
% 0.85/0.92 [841]~P43(f48(a11,x8412))+~P43(f48(a11,f38(a15,f48(f48(f48(a24,x8411),x8412),f5(a2)),x8413,a59,a59)))+P43(f48(a11,f38(a15,f48(f48(a15,f12(x8411)),x8412),x8413,a59,a59)))
% 0.85/0.92 [569]~P15(x5694)+E(x5691,x5692)+~E(f7(x5693,x5693,x5694),f7(x5691,x5692,x5694))
% 0.85/0.92 [570]~P15(x5703)+E(x5701,x5702)+~E(f7(x5701,x5702,x5703),f7(x5704,x5704,x5703))
% 0.85/0.92 [670]~P4(x6701,x6703,x6704)+~P4(x6701,x6702,x6704)+P4(x6701,f23(x6702,x6703,x6704),x6704)
% 0.85/0.92 [619]P7(x6191,x6192,x6193)+~P7(x6191,x6194,x6193)+~P43(f48(f48(a13,x6194),x6192))
% 0.85/0.92 [806]E(x8061,f20(a59))+E(f38(a15,x8062,f27(x8063,x8064,x8062,x8061),a59,a59),x8063)+~E(f48(f48(a15,x8063),x8064),f38(a15,x8062,x8061,a59,a59))
% 0.85/0.92 [552]~P20(x5523)+E(x5521,x5522)+~E(f48(f48(f6(x5523),x5524),x5521),f48(f48(f6(x5523),x5524),x5522))
% 0.85/0.92 [553]~P21(x5533)+E(x5531,x5532)+~E(f48(f48(f6(x5533),x5534),x5531),f48(f48(f6(x5533),x5534),x5532))
% 0.85/0.92 [554]~P21(x5543)+E(x5541,x5542)+~E(f48(f48(f6(x5543),x5541),x5544),f48(f48(f6(x5543),x5542),x5544))
% 0.85/0.92 [635]~P5(x6354,x6353,a2)+P5(x6351,x6352,a2)+~E(f48(f48(f6(a2),x6351),x6353),f48(f48(f6(a2),x6354),x6352))
% 0.85/0.92 [677]~P26(x6771)+~P11(x6772,x6774,x6771)+P11(f48(f48(f6(x6771),x6772),x6773),f48(f48(f6(x6771),x6774),x6773),x6771)
% 0.85/0.92 [678]~P27(x6781)+~P11(x6782,x6784,x6781)+P11(f48(f48(f6(x6781),x6782),x6783),f48(f48(f6(x6781),x6784),x6783),x6781)
% 0.85/0.92 [679]~P26(x6791)+~P11(x6793,x6794,x6791)+P11(f48(f48(f6(x6791),x6792),x6793),f48(f48(f6(x6791),x6792),x6794),x6791)
% 0.85/0.92 [680]~P27(x6801)+~P11(x6803,x6804,x6801)+P11(f48(f48(f6(x6801),x6802),x6803),f48(f48(f6(x6801),x6802),x6804),x6801)
% 0.85/0.92 [681]~P26(x6811)+~P5(x6812,x6814,x6811)+P5(f48(f48(f6(x6811),x6812),x6813),f48(f48(f6(x6811),x6814),x6813),x6811)
% 0.85/0.92 [682]~P28(x6821)+~P5(x6822,x6824,x6821)+P5(f48(f48(f6(x6821),x6822),x6823),f48(f48(f6(x6821),x6824),x6823),x6821)
% 0.85/0.92 [683]~P26(x6831)+~P5(x6833,x6834,x6831)+P5(f48(f48(f6(x6831),x6832),x6833),f48(f48(f6(x6831),x6832),x6834),x6831)
% 0.85/0.92 [684]~P28(x6841)+~P5(x6843,x6844,x6841)+P5(f48(f48(f6(x6841),x6842),x6843),f48(f48(f6(x6841),x6842),x6844),x6841)
% 0.85/0.92 [703]P7(x7031,x7032,x7033)+~P7(x7031,x7034,x7033)+~P43(f48(f48(f49(a13,a59),x7034),x7032))
% 0.85/0.92 [708]~P5(x7082,x7084,a2)+~P5(x7081,x7083,a2)+P5(f48(f48(f6(a2),x7081),x7082),f48(f48(f6(a2),x7083),x7084),a2)
% 0.85/0.92 [730]~P26(x7303)+P11(x7301,x7302,x7303)+~P11(f48(f48(f6(x7303),x7304),x7301),f48(f48(f6(x7303),x7304),x7302),x7303)
% 0.85/0.92 [731]~P26(x7313)+P11(x7311,x7312,x7313)+~P11(f48(f48(f6(x7313),x7311),x7314),f48(f48(f6(x7313),x7312),x7314),x7313)
% 0.85/0.92 [732]~P26(x7323)+P5(x7321,x7322,x7323)+~P5(f48(f48(f6(x7323),x7324),x7321),f48(f48(f6(x7323),x7324),x7322),x7323)
% 0.85/0.92 [733]~P26(x7333)+P5(x7331,x7332,x7333)+~P5(f48(f48(f6(x7333),x7331),x7334),f48(f48(f6(x7333),x7332),x7334),x7333)
% 0.85/0.92 [777]~P43(f48(f48(f49(a13,a59),x7771),x7773))+~P43(f48(f48(f49(a13,a59),x7772),x7774))+P43(f48(f48(f49(a13,a59),f48(f48(a15,x7771),x7772)),f48(f48(a15,x7773),x7774)))
% 0.85/0.92 [673]~P7(x6731,x6733,x6735)+~P7(x6731,x6732,f52(x6735,x6734))+P7(x6731,f48(f48(a15,x6732),x6733),x6734)
% 0.85/0.92 [833]E(x8331,x8332)+~P7(x8333,f38(a15,f4(x8334),x8335,a59,a59),x8331)+~P7(x8333,f38(a15,f4(x8334),x8335,a59,a59),x8332)
% 0.85/0.92 [750]~P43(f48(f48(x7501,x7505),x7504))+~P43(f48(f48(f49(x7501,x7502),x7503),x7505))+P43(f48(f48(f49(x7501,x7502),x7503),x7504))
% 0.85/0.92 [751]~P43(f48(f48(x7511,x7513),x7515))+~P43(f48(f48(f49(x7511,x7512),x7515),x7514))+P43(f48(f48(f49(x7511,x7512),x7513),x7514))
% 0.85/0.92 [763]~P43(f48(f48(f49(x7631,x7632),x7633),x7635))+P43(f48(f48(f49(x7631,x7632),x7633),x7634))+~P43(f48(f48(f49(x7631,x7632),x7635),x7634))
% 0.85/0.92 [701]~P15(x7011)+E(f48(f48(f6(x7011),x7012),x7013),x7014)+~E(f48(f48(f6(x7011),x7012),f48(f48(f6(x7011),x7015),x7013)),f48(f48(f6(x7011),x7015),x7014))
% 0.85/0.92 [762]E(x7621,x7622)+E(x7623,x7624)+~P6(x7625,f37(x7624,x7622,x7626),f37(x7623,x7621,x7626),x7626)
% 0.85/0.92 [775]E(x7751,x7752)+P6(x7753,x7751,x7752,x7754)+~P6(x7753,f37(x7755,x7751,x7754),f37(x7756,x7752,x7754),x7754)
% 0.85/0.92 [765]E(x7651,x7652)+~P6(x7653,f37(x7652,x7654,x7655),f37(x7651,x7656,x7655),x7655)+P43(f48(f48(x7653,x7652),x7651))
% 0.85/0.92 [776]P6(x7761,x7762,x7763,x7764)+~P6(x7761,f37(x7765,x7762,x7764),f37(x7766,x7763,x7764),x7764)+P43(f48(f48(x7761,x7765),x7766))
% 0.85/0.92 [779]~P7(x7791,x7793,x7796)+~P7(f51(x7791,x7794,x7796,a60),x7792,x7795)+P7(x7791,f48(f48(f48(a24,x7792),x7793),x7794),x7795)
% 0.85/0.92 [789]E(x7891,x7892)+E(x7893,x7894)+~P6(x7895,f23(x7893,f37(x7891,f20(x7896),x7896),x7896),f23(x7894,f37(x7892,f20(x7896),x7896),x7896),x7896)
% 0.85/0.92 [792]E(x7921,x7922)+~P6(x7923,f23(x7924,f37(x7921,f20(x7925),x7925),x7925),f23(x7926,f37(x7922,f20(x7925),x7925),x7925),x7925)+P43(f48(f48(x7923,x7921),x7922))
% 0.85/0.92 [793]E(x7931,x7932)+P6(x7933,x7931,x7932,x7934)+~P6(x7933,f23(x7931,f37(x7935,f20(x7934),x7934),x7934),f23(x7932,f37(x7936,f20(x7934),x7934),x7934),x7934)
% 0.85/0.92 [794]P6(x7941,x7942,x7943,x7944)+~P6(x7941,f23(x7942,f37(x7945,f20(x7944),x7944),x7944),f23(x7943,f37(x7946,f20(x7944),x7944),x7944),x7944)+P43(f48(f48(x7941,x7945),x7946))
% 0.85/0.92 [849]~P7(x8491,x8492,x8496)+~P10(f51(x8491,x8493,x8496,a60),x8494,x8495)+P10(x8491,f40(f9(f9(a24,x8492,a59,a59,f61(a2,a59)),x8493,a59,a2,a59),x8494,a59,a59),x8495)
% 0.85/0.92 [540]P4(a11,f67(x5401),a59)+E(f12(f66(x5401)),x5401)+~P43(f48(a11,x5401))+P43(f48(a11,f69(x5401)))
% 0.85/0.92 [568]P4(a11,f67(x5681),a59)+~P43(f48(a11,x5681))+P43(f48(a11,f66(x5681)))+P43(f48(a11,f69(x5681)))
% 0.85/0.92 [784]E(f12(f66(x7841)),x7841)+E(f38(a15,f4(f68(x7841)),f67(x7841),a59,a59),x7841)+~P43(f48(a11,x7841))+P43(f48(a11,f69(x7841)))
% 0.85/0.92 [785]E(f38(a15,f4(f68(x7851)),f67(x7851),a59,a59),x7851)+~P43(f48(a11,x7851))+P43(f48(a11,f69(x7851)))+P43(f48(a11,f66(x7851)))
% 0.85/0.92 [788]P4(a11,f67(x7881),a59)+E(f12(f66(x7881)),x7881)+E(f38(a15,f48(f48(a15,f12(f70(x7881))),f69(x7881)),f71(x7881),a59,a59),x7881)+~P43(f48(a11,x7881))
% 0.85/0.92 [791]P4(a11,f67(x7911),a59)+E(f38(a15,f48(f48(a15,f12(f70(x7911))),f69(x7911)),f71(x7911),a59,a59),x7911)+~P43(f48(a11,x7911))+P43(f48(a11,f66(x7911)))
% 0.85/0.92 [803]E(f12(f66(x8031)),x8031)+E(f38(a15,f4(f68(x8031)),f67(x8031),a59,a59),x8031)+E(f38(a15,f48(f48(a15,f12(f70(x8031))),f69(x8031)),f71(x8031),a59,a59),x8031)+~P43(f48(a11,x8031))
% 0.85/0.92 [804]E(f38(a15,f4(f68(x8041)),f67(x8041),a59,a59),x8041)+E(f38(a15,f48(f48(a15,f12(f70(x8041))),f69(x8041)),f71(x8041),a59,a59),x8041)+~P43(f48(a11,x8041))+P43(f48(a11,f66(x8041)))
% 0.85/0.92 [825]P4(a11,f67(x8251),a59)+E(f12(f66(x8251)),x8251)+~P43(f48(a11,x8251))+P43(f48(a11,f38(a15,f48(f48(f48(a24,f70(x8251)),f69(x8251)),f5(a2)),f71(x8251),a59,a59)))
% 0.85/0.92 [826]P4(a11,f67(x8261),a59)+~P43(f48(a11,x8261))+P43(f48(a11,f66(x8261)))+P43(f48(a11,f38(a15,f48(f48(f48(a24,f70(x8261)),f69(x8261)),f5(a2)),f71(x8261),a59,a59)))
% 0.85/0.92 [827]E(f12(f66(x8271)),x8271)+E(f38(a15,f4(f68(x8271)),f67(x8271),a59,a59),x8271)+~P43(f48(a11,x8271))+P43(f48(a11,f38(a15,f48(f48(f48(a24,f70(x8271)),f69(x8271)),f5(a2)),f71(x8271),a59,a59)))
% 0.85/0.92 [828]E(f38(a15,f4(f68(x8281)),f67(x8281),a59,a59),x8281)+~P43(f48(a11,x8281))+P43(f48(a11,f66(x8281)))+P43(f48(a11,f38(a15,f48(f48(f48(a24,f70(x8281)),f69(x8281)),f5(a2)),f71(x8281),a59,a59)))
% 0.85/0.92 [477]~P39(x4772)+~P33(x4772)+E(x4771,f5(a2))+E(f50(f5(x4772),x4771,x4772),f5(x4772))
% 0.85/0.92 [518]P5(x5181,x5182,x5183)+~P1(x5183)+E(x5181,x5182)+P5(x5182,x5181,x5183)
% 0.85/0.92 [519]P5(x5191,x5192,x5193)+~P36(x5193)+E(x5191,x5192)+P5(x5192,x5191,x5193)
% 0.85/0.92 [533]~P1(x5333)+~P11(x5331,x5332,x5333)+E(x5331,x5332)+P5(x5331,x5332,x5333)
% 0.85/0.92 [539]~P30(x5393)+~P11(x5391,x5392,x5393)+E(x5391,x5392)+P5(x5391,x5392,x5393)
% 0.85/0.92 [574]~P11(x5742,x5741,x5743)+~P11(x5741,x5742,x5743)+E(x5741,x5742)+~P30(x5743)
% 0.85/0.92 [584]P5(x5842,x5841,x5843)+~P31(x5843)+~P11(x5842,x5841,x5843)+P11(x5841,x5842,x5843)
% 0.85/0.92 [447]~P16(x4473)+~P17(x4473)+E(x4471,x4472)+~E(f14(x4471,x4473),f14(x4472,x4473))
% 0.85/0.92 [499]~P17(x4993)+~P34(x4993)+E(x4991,x4992)+~E(f7(x4991,x4992,x4993),f5(x4993))
% 0.85/0.92 [691]~P32(x6911)+~P5(f10(x6911),x6912,x6911)+P5(f10(x6911),f50(x6912,x6913,x6911),x6911)+~P5(f5(a2),x6913,a2)
% 0.85/0.92 [497]~P17(x4972)+~P34(x4972)+E(x4971,f5(x4972))+~E(f48(f48(f6(x4972),x4973),x4971),x4973)
% 0.85/0.92 [692]~P25(x6921)+~P11(f5(x6921),x6923,x6921)+~P11(f5(x6921),x6922,x6921)+P11(f5(x6921),f48(f48(f6(x6921),x6922),x6923),x6921)
% 0.85/0.92 [693]~P25(x6931)+~P11(f5(x6931),x6933,x6931)+~P5(f5(x6931),x6932,x6931)+P5(f5(x6931),f48(f48(f6(x6931),x6932),x6933),x6931)
% 0.85/0.92 [694]~P25(x6941)+~P11(f5(x6941),x6942,x6941)+~P5(f5(x6941),x6943,x6941)+P5(f5(x6941),f48(f48(f6(x6941),x6942),x6943),x6941)
% 0.85/0.92 [695]~P25(x6951)+~P5(f5(x6951),x6953,x6951)+~P5(f5(x6951),x6952,x6951)+P5(f5(x6951),f48(f48(f6(x6951),x6952),x6953),x6951)
% 0.85/0.92 [696]~P25(x6961)+~P11(x6963,f5(x6961),x6961)+~P11(x6962,f5(x6961),x6961)+P11(f48(f48(f6(x6961),x6962),x6963),f5(x6961),x6961)
% 0.85/0.92 [697]~P25(x6971)+~P11(x6973,f5(x6971),x6971)+~P5(x6972,f5(x6971),x6971)+P5(f48(f48(f6(x6971),x6972),x6973),f5(x6971),x6971)
% 0.85/0.92 [698]~P25(x6981)+~P11(x6982,f5(x6981),x6981)+~P5(x6983,f5(x6981),x6981)+P5(f48(f48(f6(x6981),x6982),x6983),f5(x6981),x6981)
% 0.85/0.92 [699]~P25(x6991)+~P5(x6993,f5(x6991),x6991)+~P5(x6992,f5(x6991),x6991)+P5(f48(f48(f6(x6991),x6992),x6993),f5(x6991),x6991)
% 0.85/0.92 [744]~P32(x7443)+~P5(x7441,f10(x7443),x7443)+~P5(f5(x7443),x7441,x7443)+P5(f50(x7441,f48(f48(f6(a2),x7442),f10(a2)),x7443),f10(x7443),x7443)
% 0.85/0.92 [603]~P30(x6033)+~P11(x6031,x6034,x6033)+P11(x6031,x6032,x6033)+~P11(x6034,x6032,x6033)
% 0.85/0.92 [604]~P31(x6043)+~P11(x6041,x6044,x6043)+P11(x6041,x6042,x6043)+~P11(x6044,x6042,x6043)
% 0.85/0.92 [605]~P30(x6053)+~P5(x6051,x6054,x6053)+P5(x6051,x6052,x6053)+~P11(x6054,x6052,x6053)
% 0.85/0.92 [606]~P30(x6063)+~P5(x6064,x6062,x6063)+P5(x6061,x6062,x6063)+~P11(x6061,x6064,x6063)
% 0.85/0.92 [607]~P30(x6073)+~P5(x6071,x6074,x6073)+P5(x6071,x6072,x6073)+~P5(x6074,x6072,x6073)
% 0.85/0.92 [608]~P31(x6083)+~P5(x6081,x6084,x6083)+P5(x6081,x6082,x6083)+~P11(x6084,x6082,x6083)
% 0.85/0.92 [609]~P31(x6093)+~P5(x6094,x6092,x6093)+P5(x6091,x6092,x6093)+~P11(x6091,x6094,x6093)
% 0.85/0.92 [610]~P31(x6103)+~P5(x6101,x6104,x6103)+P5(x6101,x6102,x6103)+~P5(x6104,x6102,x6103)
% 0.85/0.92 [633]~P32(x6334)+E(x6331,x6332)+~P5(f10(x6334),x6333,x6334)+~E(f50(x6333,x6331,x6334),f50(x6333,x6332,x6334))
% 0.85/0.92 [725]~P32(x7253)+~P5(x7252,x7254,a2)+~P5(f10(x7253),x7251,x7253)+P5(f50(x7251,x7252,x7253),f50(x7251,x7254,x7253),x7253)
% 0.85/0.92 [726]~P32(x7263)+~P11(x7261,x7264,x7263)+~P11(f5(x7263),x7261,x7263)+P11(f50(x7261,x7262,x7263),f50(x7264,x7262,x7263),x7263)
% 0.85/0.92 [746]~P32(x7463)+~P5(f50(x7464,x7461,x7463),f50(x7464,x7462,x7463),x7463)+P5(x7461,x7462,a2)+~P5(f10(x7463),x7464,x7463)
% 0.85/0.92 [747]~P32(x7473)+P5(x7471,x7472,x7473)+~P11(f5(x7473),x7472,x7473)+~P5(f50(x7471,x7474,x7473),f50(x7472,x7474,x7473),x7473)
% 0.85/0.92 [571]~P17(x5713)+~P34(x5713)+E(x5711,x5712)+~E(f48(f48(f6(x5713),x5714),x5711),f48(f48(f6(x5713),x5714),x5712))
% 0.85/0.92 [675]~P32(x6752)+~P5(x6751,x6754,x6752)+~P5(f5(x6752),x6753,x6752)+P5(x6751,f48(f48(f6(x6752),x6753),x6754),x6752)
% 0.85/0.92 [780]~P32(x7803)+P11(x7801,x7802,x7803)+~P11(f5(x7803),x7802,x7803)+~P11(f50(x7801,f48(f48(f6(a2),x7804),f10(a2)),x7803),f50(x7802,f48(f48(f6(a2),x7804),f10(a2)),x7803),x7803)
% 0.85/0.92 [657]~P12(x6573)+~P11(x6575,x6574,x6573)+P11(x6571,x6572,x6573)+~E(f7(x6574,x6575,x6573),f7(x6572,x6571,x6573))
% 0.85/0.92 [658]~P12(x6583)+~P11(x6585,x6584,x6583)+P11(x6581,x6582,x6583)+~E(f7(x6582,x6581,x6583),f7(x6584,x6585,x6583))
% 0.85/0.92 [659]~P12(x6593)+~P5(x6594,x6595,x6593)+P5(x6591,x6592,x6593)+~E(f7(x6594,x6595,x6593),f7(x6591,x6592,x6593))
% 0.85/0.92 [660]~P12(x6603)+~P5(x6604,x6605,x6603)+P5(x6601,x6602,x6603)+~E(f7(x6601,x6602,x6603),f7(x6604,x6605,x6603))
% 0.85/0.92 [717]~P27(x7171)+~P11(x7173,x7175,x7171)+~P11(x7172,x7174,x7171)+P11(f48(f48(f6(x7171),x7172),x7173),f48(f48(f6(x7171),x7174),x7175),x7171)
% 0.85/0.92 [718]~P28(x7181)+~P11(x7183,x7185,x7181)+~P5(x7182,x7184,x7181)+P5(f48(f48(f6(x7181),x7182),x7183),f48(f48(f6(x7181),x7184),x7185),x7181)
% 0.85/0.92 [719]~P28(x7191)+~P11(x7192,x7194,x7191)+~P5(x7193,x7195,x7191)+P5(f48(f48(f6(x7191),x7192),x7193),f48(f48(f6(x7191),x7194),x7195),x7191)
% 0.85/0.92 [720]~P28(x7201)+~P5(x7203,x7205,x7201)+~P5(x7202,x7204,x7201)+P5(f48(f48(f6(x7201),x7202),x7203),f48(f48(f6(x7201),x7204),x7205),x7201)
% 0.85/0.92 [735]~P12(x7352)+~P11(x7355,x7354,x7352)+~P11(x7351,f48(f48(f6(x7352),x7353),x7355),x7352)+P11(x7351,f48(f48(f6(x7352),x7353),x7354),x7352)
% 0.85/0.92 [848]~P10(x8481,x8485,x8486)+P10(x8481,x8482,f56(x8483,x8484,x8481,x8482))+~P7(x8481,f38(a15,f4(x8487),x8485,a59,a59),x8484)+~P7(x8481,f38(a15,f38(a15,f4(x8487),x8485,a59,a59),x8482,a59,a59),x8483)
% 0.85/0.92 [520]~P33(x5202)+~P42(x5202)+~P37(x5202)+~P38(x5202)+~E(f50(x5201,f5(a2),x5202),f5(x5202))
% 0.85/0.92 [641]~P25(x6412)+~P11(f5(x6412),x6411,x6412)+~P11(f5(x6412),x6413,x6412)+E(x6411,f5(x6412))+~E(f48(f48(f6(x6412),x6413),x6411),f5(x6412))
% 0.85/0.92 [642]~P25(x6422)+~P11(f5(x6422),x6423,x6422)+~P11(f5(x6422),x6421,x6422)+E(x6421,f5(x6422))+~E(f48(f48(f6(x6422),x6421),x6423),f5(x6422))
% 0.85/0.92 [740]~P32(x7403)+~P5(x7401,x7404,x7403)+~P11(f5(x7403),x7401,x7403)+P5(f50(x7401,x7402,x7403),f50(x7404,x7402,x7403),x7403)+~P5(f5(a2),x7402,a2)
% 0.85/0.92 [743]~P32(x7433)+~P5(x7434,x7432,a2)+~P5(x7431,f10(x7433),x7433)+~P5(f5(x7433),x7431,x7433)+P5(f50(x7431,x7432,x7433),f50(x7431,x7434,x7433),x7433)
% 0.85/0.92 [685]~P26(x6852)+~P14(x6852)+~P11(x6851,x6854,x6852)+~P11(f5(x6852),x6853,x6852)+P11(x6851,f48(f48(f6(x6852),x6853),x6854),x6852)
% 0.85/0.92 [686]~P26(x6862)+~P14(x6862)+~P11(x6861,x6863,x6862)+~P11(f5(x6862),x6864,x6862)+P11(x6861,f48(f48(f6(x6862),x6863),x6864),x6862)
% 0.85/0.92 [687]~P26(x6872)+~P14(x6872)+~P11(x6871,x6874,x6872)+~P5(f5(x6872),x6873,x6872)+P5(x6871,f48(f48(f6(x6872),x6873),x6874),x6872)
% 0.85/0.92 [688]~P26(x6882)+~P14(x6882)+~P5(x6881,x6884,x6882)+~P11(f5(x6882),x6883,x6882)+P5(x6881,f48(f48(f6(x6882),x6883),x6884),x6882)
% 0.85/0.92 [757]~P32(x7574)+E(x7571,x7572)+~P11(f5(x7574),x7572,x7574)+~P11(f5(x7574),x7571,x7574)+~E(f50(x7571,f48(f48(f6(a2),x7573),f10(a2)),x7574),f50(x7572,f48(f48(f6(a2),x7573),f10(a2)),x7574))
% 0.85/0.92 [488]~P33(x4882)+~P42(x4882)+~P37(x4882)+~P38(x4882)+E(x4881,f5(a2))+E(f50(f5(x4882),x4881,x4882),f5(x4882))
% 0.85/0.92 [521]~P33(x5212)+~P42(x5212)+~P37(x5212)+~P38(x5212)+~E(f50(x5211,x5213,x5212),f5(x5212))+E(x5211,f5(x5212))
% 0.85/0.92 [728]~P32(x7284)+E(x7281,x7282)+~P11(f5(x7284),x7282,x7284)+~P11(f5(x7284),x7281,x7284)+~E(f50(x7281,x7283,x7284),f50(x7282,x7283,x7284))+~P5(f5(a2),x7283,a2)
% 0.85/0.92 %EqnAxiom
% 0.85/0.92 [1]E(x11,x11)
% 0.85/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.92 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.85/0.92 [5]~E(x51,x52)+E(f16(x51),f16(x52))
% 0.85/0.92 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.85/0.92 [7]~E(x71,x72)+E(f48(x71,x73),f48(x72,x73))
% 0.85/0.92 [8]~E(x81,x82)+E(f48(x83,x81),f48(x83,x82))
% 0.85/0.92 [9]~E(x91,x92)+E(f19(x91,x93),f19(x92,x93))
% 0.85/0.92 [10]~E(x101,x102)+E(f19(x103,x101),f19(x103,x102))
% 0.85/0.92 [11]~E(x111,x112)+E(f17(x111,x113,x114,x115,x116),f17(x112,x113,x114,x115,x116))
% 0.85/0.92 [12]~E(x121,x122)+E(f17(x123,x121,x124,x125,x126),f17(x123,x122,x124,x125,x126))
% 0.85/0.92 [13]~E(x131,x132)+E(f17(x133,x134,x131,x135,x136),f17(x133,x134,x132,x135,x136))
% 0.85/0.92 [14]~E(x141,x142)+E(f17(x143,x144,x145,x141,x146),f17(x143,x144,x145,x142,x146))
% 0.85/0.92 [15]~E(x151,x152)+E(f17(x153,x154,x155,x156,x151),f17(x153,x154,x155,x156,x152))
% 0.85/0.92 [16]~E(x161,x162)+E(f20(x161),f20(x162))
% 0.85/0.92 [17]~E(x171,x172)+E(f39(x171,x173),f39(x172,x173))
% 0.85/0.92 [18]~E(x181,x182)+E(f39(x183,x181),f39(x183,x182))
% 0.85/0.92 [19]~E(x191,x192)+E(f10(x191),f10(x192))
% 0.85/0.92 [20]~E(x201,x202)+E(f55(x201,x203,x204,x205),f55(x202,x203,x204,x205))
% 0.85/0.92 [21]~E(x211,x212)+E(f55(x213,x211,x214,x215),f55(x213,x212,x214,x215))
% 0.85/0.92 [22]~E(x221,x222)+E(f55(x223,x224,x221,x225),f55(x223,x224,x222,x225))
% 0.85/0.92 [23]~E(x231,x232)+E(f55(x233,x234,x235,x231),f55(x233,x234,x235,x232))
% 0.85/0.92 [24]~E(x241,x242)+E(f7(x241,x243,x244),f7(x242,x243,x244))
% 0.85/0.92 [25]~E(x251,x252)+E(f7(x253,x251,x254),f7(x253,x252,x254))
% 0.85/0.92 [26]~E(x261,x262)+E(f7(x263,x264,x261),f7(x263,x264,x262))
% 0.85/0.92 [27]~E(x271,x272)+E(f6(x271),f6(x272))
% 0.85/0.92 [28]~E(x281,x282)+E(f38(x281,x283,x284,x285,x286),f38(x282,x283,x284,x285,x286))
% 0.85/0.92 [29]~E(x291,x292)+E(f38(x293,x291,x294,x295,x296),f38(x293,x292,x294,x295,x296))
% 0.85/0.92 [30]~E(x301,x302)+E(f38(x303,x304,x301,x305,x306),f38(x303,x304,x302,x305,x306))
% 0.85/0.92 [31]~E(x311,x312)+E(f38(x313,x314,x315,x311,x316),f38(x313,x314,x315,x312,x316))
% 0.85/0.92 [32]~E(x321,x322)+E(f38(x323,x324,x325,x326,x321),f38(x323,x324,x325,x326,x322))
% 0.85/0.92 [33]~E(x331,x332)+E(f12(x331),f12(x332))
% 0.85/0.92 [34]~E(x341,x342)+E(f21(x341,x343,x344),f21(x342,x343,x344))
% 0.85/0.92 [35]~E(x351,x352)+E(f21(x353,x351,x354),f21(x353,x352,x354))
% 0.85/0.92 [36]~E(x361,x362)+E(f21(x363,x364,x361),f21(x363,x364,x362))
% 0.85/0.92 [37]~E(x371,x372)+E(f36(x371,x373,x374),f36(x372,x373,x374))
% 0.85/0.92 [38]~E(x381,x382)+E(f36(x383,x381,x384),f36(x383,x382,x384))
% 0.85/0.92 [39]~E(x391,x392)+E(f36(x393,x394,x391),f36(x393,x394,x392))
% 0.85/0.92 [40]~E(x401,x402)+E(f67(x401),f67(x402))
% 0.85/0.92 [41]~E(x411,x412)+E(f51(x411,x413,x414,x415),f51(x412,x413,x414,x415))
% 0.85/0.92 [42]~E(x421,x422)+E(f51(x423,x421,x424,x425),f51(x423,x422,x424,x425))
% 0.85/0.92 [43]~E(x431,x432)+E(f51(x433,x434,x431,x435),f51(x433,x434,x432,x435))
% 0.85/0.92 [44]~E(x441,x442)+E(f51(x443,x444,x445,x441),f51(x443,x444,x445,x442))
% 0.85/0.92 [45]~E(x451,x452)+E(f50(x451,x453,x454),f50(x452,x453,x454))
% 0.85/0.92 [46]~E(x461,x462)+E(f50(x463,x461,x464),f50(x463,x462,x464))
% 0.85/0.92 [47]~E(x471,x472)+E(f50(x473,x474,x471),f50(x473,x474,x472))
% 0.85/0.92 [48]~E(x481,x482)+E(f42(x481,x483,x484),f42(x482,x483,x484))
% 0.85/0.92 [49]~E(x491,x492)+E(f42(x493,x491,x494),f42(x493,x492,x494))
% 0.85/0.92 [50]~E(x501,x502)+E(f42(x503,x504,x501),f42(x503,x504,x502))
% 0.85/0.92 [51]~E(x511,x512)+E(f66(x511),f66(x512))
% 0.85/0.92 [52]~E(x521,x522)+E(f49(x521,x523),f49(x522,x523))
% 0.85/0.92 [53]~E(x531,x532)+E(f49(x533,x531),f49(x533,x532))
% 0.85/0.92 [54]~E(x541,x542)+E(f68(x541),f68(x542))
% 0.85/0.92 [55]~E(x551,x552)+E(f26(x551),f26(x552))
% 0.85/0.92 [56]~E(x561,x562)+E(f70(x561),f70(x562))
% 0.85/0.92 [57]~E(x571,x572)+E(f25(x571),f25(x572))
% 0.85/0.92 [58]~E(x581,x582)+E(f28(x581),f28(x582))
% 0.85/0.92 [59]~E(x591,x592)+E(f53(x591,x593,x594,x595),f53(x592,x593,x594,x595))
% 0.85/0.92 [60]~E(x601,x602)+E(f53(x603,x601,x604,x605),f53(x603,x602,x604,x605))
% 0.85/0.92 [61]~E(x611,x612)+E(f53(x613,x614,x611,x615),f53(x613,x614,x612,x615))
% 0.85/0.92 [62]~E(x621,x622)+E(f53(x623,x624,x625,x621),f53(x623,x624,x625,x622))
% 0.85/0.92 [63]~E(x631,x632)+E(f40(x631,x633,x634,x635),f40(x632,x633,x634,x635))
% 0.85/0.92 [64]~E(x641,x642)+E(f40(x643,x641,x644,x645),f40(x643,x642,x644,x645))
% 0.85/0.92 [65]~E(x651,x652)+E(f40(x653,x654,x651,x655),f40(x653,x654,x652,x655))
% 0.85/0.92 [66]~E(x661,x662)+E(f40(x663,x664,x665,x661),f40(x663,x664,x665,x662))
% 0.85/0.92 [67]~E(x671,x672)+E(f23(x671,x673,x674),f23(x672,x673,x674))
% 0.85/0.92 [68]~E(x681,x682)+E(f23(x683,x681,x684),f23(x683,x682,x684))
% 0.85/0.92 [69]~E(x691,x692)+E(f23(x693,x694,x691),f23(x693,x694,x692))
% 0.85/0.92 [70]~E(x701,x702)+E(f37(x701,x703,x704),f37(x702,x703,x704))
% 0.85/0.92 [71]~E(x711,x712)+E(f37(x713,x711,x714),f37(x713,x712,x714))
% 0.85/0.92 [72]~E(x721,x722)+E(f37(x723,x724,x721),f37(x723,x724,x722))
% 0.85/0.92 [73]~E(x731,x732)+E(f41(x731,x733,x734,x735),f41(x732,x733,x734,x735))
% 0.85/0.92 [74]~E(x741,x742)+E(f41(x743,x741,x744,x745),f41(x743,x742,x744,x745))
% 0.85/0.92 [75]~E(x751,x752)+E(f41(x753,x754,x751,x755),f41(x753,x754,x752,x755))
% 0.85/0.92 [76]~E(x761,x762)+E(f41(x763,x764,x765,x761),f41(x763,x764,x765,x762))
% 0.85/0.92 [77]~E(x771,x772)+E(f14(x771,x773),f14(x772,x773))
% 0.85/0.92 [78]~E(x781,x782)+E(f14(x783,x781),f14(x783,x782))
% 0.85/0.92 [79]~E(x791,x792)+E(f18(x791,x793,x794,x795,x796),f18(x792,x793,x794,x795,x796))
% 0.85/0.92 [80]~E(x801,x802)+E(f18(x803,x801,x804,x805,x806),f18(x803,x802,x804,x805,x806))
% 0.85/0.92 [81]~E(x811,x812)+E(f18(x813,x814,x811,x815,x816),f18(x813,x814,x812,x815,x816))
% 0.85/0.92 [82]~E(x821,x822)+E(f18(x823,x824,x825,x821,x826),f18(x823,x824,x825,x822,x826))
% 0.85/0.92 [83]~E(x831,x832)+E(f18(x833,x834,x835,x836,x831),f18(x833,x834,x835,x836,x832))
% 0.85/0.92 [84]~E(x841,x842)+E(f46(x841,x843),f46(x842,x843))
% 0.85/0.92 [85]~E(x851,x852)+E(f46(x853,x851),f46(x853,x852))
% 0.85/0.92 [86]~E(x861,x862)+E(f71(x861),f71(x862))
% 0.85/0.92 [87]~E(x871,x872)+E(f8(x871,x873,x874,x875,x876),f8(x872,x873,x874,x875,x876))
% 0.85/0.92 [88]~E(x881,x882)+E(f8(x883,x881,x884,x885,x886),f8(x883,x882,x884,x885,x886))
% 0.85/0.92 [89]~E(x891,x892)+E(f8(x893,x894,x891,x895,x896),f8(x893,x894,x892,x895,x896))
% 0.85/0.92 [90]~E(x901,x902)+E(f8(x903,x904,x905,x901,x906),f8(x903,x904,x905,x902,x906))
% 0.85/0.92 [91]~E(x911,x912)+E(f8(x913,x914,x915,x916,x911),f8(x913,x914,x915,x916,x912))
% 0.85/0.92 [92]~E(x921,x922)+E(f52(x921,x923),f52(x922,x923))
% 0.85/0.92 [93]~E(x931,x932)+E(f52(x933,x931),f52(x933,x932))
% 0.85/0.92 [94]~E(x941,x942)+E(f61(x941,x943),f61(x942,x943))
% 0.85/0.92 [95]~E(x951,x952)+E(f61(x953,x951),f61(x953,x952))
% 0.85/0.92 [96]~E(x961,x962)+E(f9(x961,x963,x964,x965,x966),f9(x962,x963,x964,x965,x966))
% 0.85/0.92 [97]~E(x971,x972)+E(f9(x973,x971,x974,x975,x976),f9(x973,x972,x974,x975,x976))
% 0.85/0.92 [98]~E(x981,x982)+E(f9(x983,x984,x981,x985,x986),f9(x983,x984,x982,x985,x986))
% 0.85/0.92 [99]~E(x991,x992)+E(f9(x993,x994,x995,x991,x996),f9(x993,x994,x995,x992,x996))
% 0.85/0.92 [100]~E(x1001,x1002)+E(f9(x1003,x1004,x1005,x1006,x1001),f9(x1003,x1004,x1005,x1006,x1002))
% 0.85/0.92 [101]~E(x1011,x1012)+E(f43(x1011,x1013,x1014,x1015,x1016),f43(x1012,x1013,x1014,x1015,x1016))
% 0.85/0.92 [102]~E(x1021,x1022)+E(f43(x1023,x1021,x1024,x1025,x1026),f43(x1023,x1022,x1024,x1025,x1026))
% 0.85/0.92 [103]~E(x1031,x1032)+E(f43(x1033,x1034,x1031,x1035,x1036),f43(x1033,x1034,x1032,x1035,x1036))
% 0.85/0.92 [104]~E(x1041,x1042)+E(f43(x1043,x1044,x1045,x1041,x1046),f43(x1043,x1044,x1045,x1042,x1046))
% 0.85/0.92 [105]~E(x1051,x1052)+E(f43(x1053,x1054,x1055,x1056,x1051),f43(x1053,x1054,x1055,x1056,x1052))
% 0.85/0.92 [106]~E(x1061,x1062)+E(f54(x1061,x1063,x1064,x1065),f54(x1062,x1063,x1064,x1065))
% 0.85/0.92 [107]~E(x1071,x1072)+E(f54(x1073,x1071,x1074,x1075),f54(x1073,x1072,x1074,x1075))
% 0.85/0.92 [108]~E(x1081,x1082)+E(f54(x1083,x1084,x1081,x1085),f54(x1083,x1084,x1082,x1085))
% 0.85/0.92 [109]~E(x1091,x1092)+E(f54(x1093,x1094,x1095,x1091),f54(x1093,x1094,x1095,x1092))
% 0.85/0.92 [110]~E(x1101,x1102)+E(f29(x1101),f29(x1102))
% 0.85/0.92 [111]~E(x1111,x1112)+E(f56(x1111,x1113,x1114,x1115),f56(x1112,x1113,x1114,x1115))
% 0.85/0.92 [112]~E(x1121,x1122)+E(f56(x1123,x1121,x1124,x1125),f56(x1123,x1122,x1124,x1125))
% 0.85/0.92 [113]~E(x1131,x1132)+E(f56(x1133,x1134,x1131,x1135),f56(x1133,x1134,x1132,x1135))
% 0.85/0.92 [114]~E(x1141,x1142)+E(f56(x1143,x1144,x1145,x1141),f56(x1143,x1144,x1145,x1142))
% 0.85/0.92 [115]~E(x1151,x1152)+E(f69(x1151),f69(x1152))
% 0.85/0.92 [116]~E(x1161,x1162)+E(f44(x1161,x1163,x1164,x1165,x1166),f44(x1162,x1163,x1164,x1165,x1166))
% 0.85/0.92 [117]~E(x1171,x1172)+E(f44(x1173,x1171,x1174,x1175,x1176),f44(x1173,x1172,x1174,x1175,x1176))
% 0.85/0.92 [118]~E(x1181,x1182)+E(f44(x1183,x1184,x1181,x1185,x1186),f44(x1183,x1184,x1182,x1185,x1186))
% 0.85/0.92 [119]~E(x1191,x1192)+E(f44(x1193,x1194,x1195,x1191,x1196),f44(x1193,x1194,x1195,x1192,x1196))
% 0.85/0.92 [120]~E(x1201,x1202)+E(f44(x1203,x1204,x1205,x1206,x1201),f44(x1203,x1204,x1205,x1206,x1202))
% 0.85/0.92 [121]~E(x1211,x1212)+E(f27(x1211,x1213,x1214,x1215),f27(x1212,x1213,x1214,x1215))
% 0.85/0.92 [122]~E(x1221,x1222)+E(f27(x1223,x1221,x1224,x1225),f27(x1223,x1222,x1224,x1225))
% 0.85/0.92 [123]~E(x1231,x1232)+E(f27(x1233,x1234,x1231,x1235),f27(x1233,x1234,x1232,x1235))
% 0.85/0.92 [124]~E(x1241,x1242)+E(f27(x1243,x1244,x1245,x1241),f27(x1243,x1244,x1245,x1242))
% 0.85/0.92 [125]~E(x1251,x1252)+E(f34(x1251),f34(x1252))
% 0.85/0.92 [126]~E(x1261,x1262)+E(f32(x1261),f32(x1262))
% 0.85/0.92 [127]~E(x1271,x1272)+E(f31(x1271),f31(x1272))
% 0.85/0.92 [128]~E(x1281,x1282)+E(f45(x1281,x1283,x1284,x1285,x1286),f45(x1282,x1283,x1284,x1285,x1286))
% 0.85/0.92 [129]~E(x1291,x1292)+E(f45(x1293,x1291,x1294,x1295,x1296),f45(x1293,x1292,x1294,x1295,x1296))
% 0.85/0.92 [130]~E(x1301,x1302)+E(f45(x1303,x1304,x1301,x1305,x1306),f45(x1303,x1304,x1302,x1305,x1306))
% 0.85/0.92 [131]~E(x1311,x1312)+E(f45(x1313,x1314,x1315,x1311,x1316),f45(x1313,x1314,x1315,x1312,x1316))
% 0.85/0.92 [132]~E(x1321,x1322)+E(f45(x1323,x1324,x1325,x1326,x1321),f45(x1323,x1324,x1325,x1326,x1322))
% 0.85/0.92 [133]~E(x1331,x1332)+E(f33(x1331),f33(x1332))
% 0.85/0.92 [134]~E(x1341,x1342)+E(f35(x1341),f35(x1342))
% 0.85/0.92 [135]~E(x1351,x1352)+E(f47(x1351,x1353,x1354,x1355),f47(x1352,x1353,x1354,x1355))
% 0.85/0.92 [136]~E(x1361,x1362)+E(f47(x1363,x1361,x1364,x1365),f47(x1363,x1362,x1364,x1365))
% 0.85/0.92 [137]~E(x1371,x1372)+E(f47(x1373,x1374,x1371,x1375),f47(x1373,x1374,x1372,x1375))
% 0.85/0.92 [138]~E(x1381,x1382)+E(f47(x1383,x1384,x1385,x1381),f47(x1383,x1384,x1385,x1382))
% 0.85/0.92 [139]~E(x1391,x1392)+E(f30(x1391),f30(x1392))
% 0.85/0.92 [140]~P1(x1401)+P1(x1402)+~E(x1401,x1402)
% 0.85/0.92 [141]~P43(x1411)+P43(x1412)+~E(x1411,x1412)
% 0.85/0.92 [142]~P2(x1421)+P2(x1422)+~E(x1421,x1422)
% 0.85/0.92 [143]P5(x1432,x1433,x1434)+~E(x1431,x1432)+~P5(x1431,x1433,x1434)
% 0.85/0.92 [144]P5(x1443,x1442,x1444)+~E(x1441,x1442)+~P5(x1443,x1441,x1444)
% 0.85/0.92 [145]P5(x1453,x1454,x1452)+~E(x1451,x1452)+~P5(x1453,x1454,x1451)
% 0.85/0.92 [146]~P30(x1461)+P30(x1462)+~E(x1461,x1462)
% 0.85/0.92 [147]P11(x1472,x1473,x1474)+~E(x1471,x1472)+~P11(x1471,x1473,x1474)
% 0.85/0.92 [148]P11(x1483,x1482,x1484)+~E(x1481,x1482)+~P11(x1483,x1481,x1484)
% 0.85/0.92 [149]P11(x1493,x1494,x1492)+~E(x1491,x1492)+~P11(x1493,x1494,x1491)
% 0.85/0.92 [150]~P35(x1501)+P35(x1502)+~E(x1501,x1502)
% 0.85/0.92 [151]~P31(x1511)+P31(x1512)+~E(x1511,x1512)
% 0.85/0.92 [152]~P32(x1521)+P32(x1522)+~E(x1521,x1522)
% 0.85/0.92 [153]~P25(x1531)+P25(x1532)+~E(x1531,x1532)
% 0.85/0.92 [154]~P12(x1541)+P12(x1542)+~E(x1541,x1542)
% 0.85/0.92 [155]~P28(x1551)+P28(x1552)+~E(x1551,x1552)
% 0.85/0.92 [156]~P26(x1561)+P26(x1562)+~E(x1561,x1562)
% 0.85/0.92 [157]~P13(x1571)+P13(x1572)+~E(x1571,x1572)
% 0.85/0.92 [158]~P41(x1581)+P41(x1582)+~E(x1581,x1582)
% 0.85/0.92 [159]P4(x1592,x1593,x1594)+~E(x1591,x1592)+~P4(x1591,x1593,x1594)
% 0.85/0.92 [160]P4(x1603,x1602,x1604)+~E(x1601,x1602)+~P4(x1603,x1601,x1604)
% 0.85/0.92 [161]P4(x1613,x1614,x1612)+~E(x1611,x1612)+~P4(x1613,x1614,x1611)
% 0.85/0.92 [162]~P14(x1621)+P14(x1622)+~E(x1621,x1622)
% 0.85/0.92 [163]P10(x1632,x1633,x1634)+~E(x1631,x1632)+~P10(x1631,x1633,x1634)
% 0.85/0.92 [164]P10(x1643,x1642,x1644)+~E(x1641,x1642)+~P10(x1643,x1641,x1644)
% 0.85/0.92 [165]P10(x1653,x1654,x1652)+~E(x1651,x1652)+~P10(x1653,x1654,x1651)
% 0.85/0.92 [166]P6(x1662,x1663,x1664,x1665)+~E(x1661,x1662)+~P6(x1661,x1663,x1664,x1665)
% 0.85/0.92 [167]P6(x1673,x1672,x1674,x1675)+~E(x1671,x1672)+~P6(x1673,x1671,x1674,x1675)
% 0.85/0.92 [168]P6(x1683,x1684,x1682,x1685)+~E(x1681,x1682)+~P6(x1683,x1684,x1681,x1685)
% 0.85/0.92 [169]P6(x1693,x1694,x1695,x1692)+~E(x1691,x1692)+~P6(x1693,x1694,x1695,x1691)
% 0.85/0.92 [170]~P27(x1701)+P27(x1702)+~E(x1701,x1702)
% 0.85/0.92 [171]~P36(x1711)+P36(x1712)+~E(x1711,x1712)
% 0.85/0.92 [172]~P42(x1721)+P42(x1722)+~E(x1721,x1722)
% 0.85/0.92 [173]~P39(x1731)+P39(x1732)+~E(x1731,x1732)
% 0.85/0.92 [174]P7(x1742,x1743,x1744)+~E(x1741,x1742)+~P7(x1741,x1743,x1744)
% 0.85/0.92 [175]P7(x1753,x1752,x1754)+~E(x1751,x1752)+~P7(x1753,x1751,x1754)
% 0.85/0.92 [176]P7(x1763,x1764,x1762)+~E(x1761,x1762)+~P7(x1763,x1764,x1761)
% 0.85/0.92 [177]~P33(x1771)+P33(x1772)+~E(x1771,x1772)
% 0.85/0.92 [178]~P22(x1781)+P22(x1782)+~E(x1781,x1782)
% 0.85/0.92 [179]~P18(x1791)+P18(x1792)+~E(x1791,x1792)
% 0.85/0.92 [180]~P37(x1801)+P37(x1802)+~E(x1801,x1802)
% 0.85/0.92 [181]P8(x1812,x1813)+~E(x1811,x1812)+~P8(x1811,x1813)
% 0.85/0.92 [182]P8(x1823,x1822)+~E(x1821,x1822)+~P8(x1823,x1821)
% 0.85/0.92 [183]P9(x1832,x1833,x1834)+~E(x1831,x1832)+~P9(x1831,x1833,x1834)
% 0.85/0.92 [184]P9(x1843,x1842,x1844)+~E(x1841,x1842)+~P9(x1843,x1841,x1844)
% 0.85/0.92 [185]P9(x1853,x1854,x1852)+~E(x1851,x1852)+~P9(x1853,x1854,x1851)
% 0.85/0.92 [186]~P34(x1861)+P34(x1862)+~E(x1861,x1862)
% 0.85/0.92 [187]~P15(x1871)+P15(x1872)+~E(x1871,x1872)
% 0.85/0.92 [188]~P16(x1881)+P16(x1882)+~E(x1881,x1882)
% 0.85/0.92 [189]~P17(x1891)+P17(x1892)+~E(x1891,x1892)
% 0.85/0.92 [190]~P21(x1901)+P21(x1902)+~E(x1901,x1902)
% 0.85/0.92 [191]~P23(x1911)+P23(x1912)+~E(x1911,x1912)
% 0.85/0.92 [192]P3(x1922,x1923,x1924)+~E(x1921,x1922)+~P3(x1921,x1923,x1924)
% 0.85/0.92 [193]P3(x1933,x1932,x1934)+~E(x1931,x1932)+~P3(x1933,x1931,x1934)
% 0.85/0.92 [194]P3(x1943,x1944,x1942)+~E(x1941,x1942)+~P3(x1943,x1944,x1941)
% 0.85/0.92 [195]~P29(x1951)+P29(x1952)+~E(x1951,x1952)
% 0.85/0.92 [196]~P20(x1961)+P20(x1962)+~E(x1961,x1962)
% 0.85/0.92 [197]~P19(x1971)+P19(x1972)+~E(x1971,x1972)
% 0.85/0.92 [198]~P38(x1981)+P38(x1982)+~E(x1981,x1982)
% 0.85/0.92 [199]~P24(x1991)+P24(x1992)+~E(x1991,x1992)
% 0.85/0.92 [200]~P40(x2001)+P40(x2002)+~E(x2001,x2002)
% 0.85/0.92
% 0.85/0.92 %-------------------------------------------
% 0.85/0.93 cnf(851,plain,
% 0.85/0.93 ($false),
% 0.85/0.93 inference(scs_inference,[],[400,430,821]),
% 0.85/0.93 ['proof']).
% 0.85/0.93 % SZS output end Proof
% 0.85/0.93 % Total time :0.040000s
%------------------------------------------------------------------------------