TSTP Solution File: LCL806-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL806-1 : 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 : n001.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 06:51:04 EDT 2023
% Result : Unsatisfiable 0.18s 0.79s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL806-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 06:07:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.75 %-------------------------------------------
% 0.18/0.75 % File :CSE---1.6
% 0.18/0.75 % Problem :theBenchmark
% 0.18/0.75 % Transform :cnf
% 0.18/0.75 % Format :tptp:raw
% 0.18/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.75
% 0.18/0.75 % Result :Theorem 0.030000s
% 0.18/0.75 % Output :CNFRefutation 0.030000s
% 0.18/0.75 %-------------------------------------------
% 0.18/0.75 %------------------------------------------------------------------------------
% 0.18/0.75 % File : LCL806-1 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.75 % Domain : Logic Calculi
% 0.18/0.75 % Problem : Strong normalization of typed lambda calculus 166_31
% 0.18/0.75 % Version : Especial.
% 0.18/0.75 % English :
% 0.18/0.75
% 0.18/0.75 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.18/0.75 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.18/0.75 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.18/0.75 % Source : [Nip10]
% 0.18/0.75 % Names : StrongNorm-166_31 [Nip10]
% 0.18/0.75
% 0.18/0.75 % Status : Unsatisfiable
% 0.18/0.75 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0
% 0.18/0.75 % Syntax : Number of clauses : 411 ( 152 unt; 32 nHn; 223 RR)
% 0.18/0.75 % Number of literals : 790 ( 288 equ; 371 neg)
% 0.18/0.75 % Maximal clause size : 6 ( 1 avg)
% 0.18/0.75 % Maximal term depth : 27 ( 2 avg)
% 0.18/0.75 % Number of predicates : 31 ( 30 usr; 0 prp; 1-4 aty)
% 0.18/0.75 % Number of functors : 78 ( 78 usr; 35 con; 0-5 aty)
% 0.18/0.75 % Number of variables : 1057 ( 153 sgn)
% 0.18/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.18/0.75
% 0.18/0.75 % Comments :
% 0.18/0.75 %------------------------------------------------------------------------------
% 0.18/0.75 cnf(cls_apps__preserves__betas_0,axiom,
% 0.18/0.75 ( 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)))
% 0.18/0.75 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.18/0.75
% 0.18/0.75 cnf(cls_diff__less_0,axiom,
% 0.18/0.75 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.18/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.18/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.75
% 0.18/0.75 cnf(cls_zero__less__diff_1,axiom,
% 0.18/0.75 ( 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)
% 0.18/0.75 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.75
% 0.18/0.75 cnf(cls_zero__less__diff_0,axiom,
% 0.18/0.75 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.75 | ~ 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) ) ).
% 0.18/0.75
% 0.18/0.75 cnf(cls_nat__diff__split_0,axiom,
% 0.18/0.76 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.18/0.76 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.18/0.76 | 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)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.18/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.18/0.76 | ~ 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) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_add__diff__inverse_0,axiom,
% 0.18/0.76 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.18/0.76 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__eqI_1,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.18/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__eqI_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.18/0.76 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__diff__conv_1,axiom,
% 0.18/0.76 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__diff__conv_0,axiom,
% 0.18/0.76 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_of__nat__aux_Osimps_I1_J_0,axiom,
% 0.18/0.76 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.76 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_HOL_Ozero__class_Ozero(tc_nat),V_i,T_a) = V_i ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.18/0.76 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.76 | V_m = V_n ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_less__imp__diff__less_0,axiom,
% 0.18/0.76 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__self__eq__0_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.18/0.76 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.76 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__self_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__0__right_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_right__minus__eq_1,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__less__mono2_0,axiom,
% 0.18/0.76 ( 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)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__Suc__1_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__add__cancel_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.18/0.76 ( ~ 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)))
% 0.18/0.76 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_nat__diff__split_1,axiom,
% 0.18/0.76 ( ~ 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)))
% 0.18/0.76 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__less__Suc_0,axiom,
% 0.18/0.76 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_of__nat__aux_Osimps_I2_J_0,axiom,
% 0.18/0.76 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.76 | 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) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__add__0_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__diff__left_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_eq__eqI_1,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.18/0.76 | V_xa = V_y ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_eq__eqI_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.18/0.76 | V_x_H = V_y_H ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__0__eq__0_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__cancel2_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__cancel_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.18/0.76 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.76 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.18/0.76 | V_x = V_y ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_right__minus__eq_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.18/0.76 | V_a = V_b ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.18/0.76 | V_a = V_b ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__commute_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_Suc__diff__diff_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 0.18/0.76 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) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_head__Var__reduction_0,axiom,
% 0.18/0.76 ( 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)
% 0.18/0.76 | ~ 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)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__add__inverse2_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__add__inverse_0,axiom,
% 0.18/0.76 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_add__diff__cancel_0,axiom,
% 0.18/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.18/0.76 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_diff__Suc__less_0,axiom,
% 0.18/0.76 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_Suc__pred_0,axiom,
% 0.18/0.76 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_shift__lt_0,axiom,
% 0.18/0.76 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_T),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_Suc__diff__1_0,axiom,
% 0.18/0.76 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_Suc__pred_H_0,axiom,
% 0.18/0.76 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_add__eq__if_1,axiom,
% 0.18/0.76 ( 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))
% 0.18/0.76 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_type_Osize_I2_J_0,axiom,
% 0.18/0.76 c_Type_Otype_Otype__size(hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Type_Otype_Otype__size(V_type1)),c_Type_Otype_Otype__size(V_type2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_type_Osize_I4_J_0,axiom,
% 0.18/0.76 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),tc_Type_Otype) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_type1,tc_Type_Otype)),c_Nat_Osize__class_Osize(V_type2,tc_Type_Otype))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_head__Var__reduction_1,axiom,
% 0.18/0.76 ( 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)
% 0.18/0.76 | ~ 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)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_subst__gt_0,axiom,
% 0.18/0.76 ( 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))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_subst__Var_0,axiom,
% 0.18/0.76 ( 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))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_list__app__typeE_1,axiom,
% 0.18/0.76 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.18/0.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_list__app__typeD_1,axiom,
% 0.18/0.76 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.18/0.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_substn_Osimps_I1_J_0,axiom,
% 0.18/0.76 ( 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))
% 0.18/0.76 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_semiring__1__class_Oof__nat__code_0,axiom,
% 0.18/0.76 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.76 | c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_HOL_Oplus__class_Oplus(T_a)),c_HOL_Oone__class_Oone(T_a)),V_n,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_list__app__typeD_0,axiom,
% 0.18/0.76 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)))
% 0.18/0.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_list__app__typeE_0,axiom,
% 0.18/0.76 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)))
% 0.18/0.76 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_Var_I2_J_0,axiom,
% 0.18/0.76 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_ea______),v_ia______),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_Ha______)) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_funpow_Osimps_I2_J_0,axiom,
% 0.18/0.76 c_Nat_Ocompow(c_Suc(V_n),V_f,T_a,T_a) = c_Fun_Ocomp(V_f,c_Nat_Ocompow(V_n,V_f,T_a,T_a),T_a,T_a,T_a) ).
% 0.18/0.76
% 0.18/0.76 cnf(cls_r__into__rtranclp_0,axiom,
% 0.18/0.76 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.18/0.76 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_one__is__add_1,axiom,
% 0.18/0.77 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.77 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.77 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_one__is__add_2,axiom,
% 0.18/0.77 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.77 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.77 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_foldl__absorb0_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.77 | 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_one__neq__zero_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.18/0.77 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__SucE_0,axiom,
% 0.18/0.77 ( V_m = V_n
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__antisym_0,axiom,
% 0.18/0.77 ( V_m = V_n
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.18/0.77 ( V_n = V_m
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_one__is__add_4,axiom,
% 0.18/0.77 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)) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.18/0.77 ( 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))
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 0.18/0.77 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)))) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__strict__mono_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__mono_0,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.18/0.77 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.18/0.77 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_lessI_0,axiom,
% 0.18/0.77 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__Suc__eq_2,axiom,
% 0.18/0.77 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__trans__Suc_0,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_foldl__foldr1_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.77 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__add__one_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_liftn__0_0,axiom,
% 0.18/0.77 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_not__add__less1_0,axiom,
% 0.18/0.77 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_not__add__less2_0,axiom,
% 0.18/0.77 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Suc__n__not__n_0,axiom,
% 0.18/0.77 c_Suc(V_n) != V_n ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_n__not__Suc__n_0,axiom,
% 0.18/0.77 V_n != c_Suc(V_n) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__strict__right__mono_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__cancel__right_1,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__cancel__right_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__strict__left__mono_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__cancel__left_1,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__cancel__left_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__less__mono1_0,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__is__1_5,axiom,
% 0.18/0.77 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)) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Suc__lessD_0,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__SucI_0,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_of__nat__add_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.77 | 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)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__is__1_1,axiom,
% 0.18/0.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.77 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.77 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__is__1_2,axiom,
% 0.18/0.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.77 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.77 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.18/0.77 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)))) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.18/0.77 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.18/0.77 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_var__app__typesE_0,axiom,
% 0.18/0.77 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OVar(V_i)),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(hAPP(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)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.18/0.77 | 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)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_IT_OVar_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_lift__subst_0,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_lift__subst__lt_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.18/0.77 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_var__app__types_0,axiom,
% 0.18/0.77 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(hAPP(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))
% 0.18/0.77 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(hAPP(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)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__neg__neg_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_even__less__0__iff_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_even__less__0__iff_1,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_not__one__less__zero_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__pos__pos_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_zero__less__one_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_pos__add__strict_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_of__nat__0_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.77 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_of__nat__less__iff_1,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_of__nat__less__iff_0,axiom,
% 0.18/0.77 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.77 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__gr__0_1,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__gr__0_2,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.18/0.77 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_zero__less__Suc_0,axiom,
% 0.18/0.77 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__gr__0_0,axiom,
% 0.18/0.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.18/0.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.18/0.77 | ~ 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) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__Suc0_0,axiom,
% 0.18/0.77 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.77 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_less__Suc0_1,axiom,
% 0.18/0.77 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_apps__preserves__beta_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.18/0.77 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.18/0.77 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | V_rs = V_ss ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.18/0.77 ( 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)
% 0.18/0.77 | V_r = V_s ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.18/0.77 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.18/0.77 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_substn__subst__0_0,axiom,
% 0.18/0.77 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)) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.18/0.77 ( 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)))
% 0.18/0.77 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_True_0,axiom,
% 0.18/0.77 v_n____ = v_i____ ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_One__nat__def_0,axiom,
% 0.18/0.77 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.18/0.77 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_nat_Oinject_0,axiom,
% 0.18/0.77 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.18/0.77 | V_nat = V_nat_H ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_Suc__inject_0,axiom,
% 0.18/0.77 ( c_Suc(V_x) != c_Suc(V_y)
% 0.18/0.77 | V_x = V_y ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_double__eq__0__iff_0,axiom,
% 0.18/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.18/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__is__0_1,axiom,
% 0.18/0.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.77 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_add__is__0_0,axiom,
% 0.18/0.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.77 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_liftn__lift_0,axiom,
% 0.18/0.77 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) ).
% 0.18/0.77
% 0.18/0.77 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.18/0.77 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.18/0.78 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__eq__self__zero_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.18/0.78 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.78 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.78 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.18/0.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.18/0.78 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.18/0.78 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.18/0.78 | V_m = V_n ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_foldl__assoc_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__add__eq__less_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__add__commute_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.18/0.78 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)))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_trans__less__add2_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_trans__less__add1_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__lessD1_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.18/0.78 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__add__Suc2_0,axiom,
% 0.18/0.78 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__add__Suc1_0,axiom,
% 0.18/0.78 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.18/0.78 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.18/0.78 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__Suc_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__Suc__right_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_rtranclp__trans_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_funpow__add_0,axiom,
% 0.18/0.78 c_Nat_Ocompow(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_f,T_a,T_a) = c_Fun_Ocomp(c_Nat_Ocompow(V_m,V_f,T_a,T_a),c_Nat_Ocompow(V_n,V_f,T_a,T_a),T_a,T_a,T_a) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__is__1_4,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.18/0.78 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.18/0.78 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_substn__subst__n_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_double__eq__0__iff_1,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__is__0_2,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__cancel__21_1,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__add__left__commute_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__add__assoc_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__cancel__21_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_COMBK__def_0,axiom,
% 0.18/0.78 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_one__is__add_5,axiom,
% 0.18/0.78 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))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_of__nat__1_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.78 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_zero__neq__one_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.18/0.78 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_funpow__swap1_0,axiom,
% 0.18/0.78 hAPP(V_f,hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),V_x)) = hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),hAPP(V_f,V_x)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_one__is__add_3,axiom,
% 0.18/0.78 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.78 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.78 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_one__is__add_0,axiom,
% 0.18/0.78 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.78 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.78 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_of__nat__Suc_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__Suc__shift_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_T_0,axiom,
% 0.18/0.78 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.78 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Suc__lessI_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.18/0.78 | c_Suc(V_m) = V_n
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_y = V_z ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_m = V_n ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_m = V_n ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.78 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | V_y = V_z ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__imp__eq_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | V_b = V_c ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__left__cancel_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | V_b = V_c ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__right__cancel_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | V_b = V_c ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__subst_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | ~ 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_r = V_s ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__is__1_3,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.78 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.78 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__is__1_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.78 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.78 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | 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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less__eq_1,axiom,
% 0.18/0.78 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less__eq_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__lift_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | ~ 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_zero__less__two_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_rtranclp__idemp_0,axiom,
% 0.18/0.78 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.18/0.78 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.18/0.78 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.18/0.78 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.78 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.78 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_add__0__left_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.18/0.78 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Suc__less__eq_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Suc__mono_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.18/0.78 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.18/0.78 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.18/0.78 | V_i = V_k
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_K__record__comp_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.18/0.78 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.18/0.78 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_rs = V_ss ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | V_m = V_n ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nT_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_funpow_Osimps_I1_J_0,axiom,
% 0.18/0.78 c_Nat_Ocompow(c_HOL_Ozero__class_Ozero(tc_nat),V_f,T_a,T_a) = c_Fun_Oid(T_a) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__Abs_0,axiom,
% 0.18/0.78 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)))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subject__reduction_H_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t_H),V_T))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_shift__commute_0,axiom,
% 0.18/0.78 hAPP(hAPP(hAPP(c_Type_Oshift(T_a),hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_U)),c_HOL_Ozero__class_Ozero(tc_nat)),V_T) = hAPP(hAPP(hAPP(c_Type_Oshift(T_a),hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),c_HOL_Ozero__class_Ozero(tc_nat)),V_T)),c_Suc(V_i)),V_U) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t))),V_t),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_abs__typeE_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t))),V_t),c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_var__app__types_1,axiom,
% 0.18/0.78 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(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))
% 0.18/0.78 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_var__app__typesE_1,axiom,
% 0.18/0.78 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_list__app__typeI_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T))
% 0.18/0.78 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype))) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_uT_H_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_varT_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),c_Lambda_OdB_OVar(v_n____)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_headT_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_argsT_0,axiom,
% 0.18/0.78 c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____),v_as____,v_Ts____) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_var__app__type__eq_0,axiom,
% 0.18/0.78 ( V_T = V_U
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(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))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(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)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.78 | 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)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.18/0.78 | ~ 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__map_0,axiom,
% 0.18/0.78 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(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Beta_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.18/0.78 | ~ 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))) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Cons_I3_J_0,axiom,
% 0.18/0.78 c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lifts__IT_0,axiom,
% 0.18/0.78 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.18/0.78 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__map_0,axiom,
% 0.18/0.78 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(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),V_u)),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.18/0.78 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_id__apply_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_abs_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_app__Var__IT_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__preserves__beta_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__types_0,axiom,
% 0.18/0.78 ( c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_U),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.18/0.78 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_appL_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_appR_0,axiom,
% 0.18/0.78 ( 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)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__eq__id__dest_0,axiom,
% 0.18/0.78 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)
% 0.18/0.78 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_map__map_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__Var_1,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.18/0.78 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_COMBC__def_0,axiom,
% 0.18/0.78 hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less0_0,axiom,
% 0.18/0.78 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_gr__implies__not0_0,axiom,
% 0.18/0.78 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_xt1_I10_J_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_order__less__trans_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_id__o_0,axiom,
% 0.18/0.78 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__id_0,axiom,
% 0.18/0.78 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__Var_2,axiom,
% 0.18/0.78 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.18/0.78 | V_i = V_k
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__apply_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.18/0.78 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.18/0.78 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.18/0.78 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.18/0.78 | V_dB = V_dB_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.18/0.78 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__less__le_1,axiom,
% 0.18/0.78 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_less__not__refl_0,axiom,
% 0.18/0.78 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_order__less__le_1,axiom,
% 0.18/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__neq__iff_1,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_order__less__irrefl_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_beta_0,axiom,
% 0.18/0.78 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)))) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.18/0.78 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.18/0.78 | V_x = V_y ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | V_x = V_y
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__neq__iff_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.18/0.78 | V_m = V_n ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_nat__less__cases_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.18/0.78 | V_m = V_n
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.18/0.78 | V_x = V_y ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__neqE_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.18/0.78 | V_x = V_y ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__less__linear_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.18/0.78 | V_x = V_y
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | V_x = V_y
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.18/0.78 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.18/0.78 | V_dB2 = V_dB2_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.18/0.78 | V_dB1 = V_dB1_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_App_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_U))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_t),V_T))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_s),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.18/0.78 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_fcomp__apply_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_gr0I_0,axiom,
% 0.18/0.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.18/0.78 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__assoc_0,axiom,
% 0.18/0.78 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) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_neq0__conv_1,axiom,
% 0.18/0.78 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__lt_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_fcomp__id_0,axiom,
% 0.18/0.78 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_id__fcomp_0,axiom,
% 0.18/0.78 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.18/0.78 | V_type2 = V_type2_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.18/0.78 | V_type1 = V_type1_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.18/0.78 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.18/0.78 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.18/0.78 | V_nat = V_nat_H ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.18/0.78 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.18/0.78 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__eq__dest_0,axiom,
% 0.18/0.78 ( 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)
% 0.18/0.78 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_comp__cong_0,axiom,
% 0.18/0.78 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.18/0.78 | 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) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_fcomp__assoc_0,axiom,
% 0.18/0.78 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_xt1_I9_J_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Oorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.18/0.78 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_order__less__asym_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_order__less__asym_H_0,axiom,
% 0.18/0.78 ( ~ class_Orderings_Opreorder(T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__type_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_U)),hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),V_T))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_uT_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_Cons_I1_J_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),V_u),V_ia)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_b____),V_T_H)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__App_0,axiom,
% 0.18/0.78 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)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subject__reduction_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t_H),V_T))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__eq_0,axiom,
% 0.18/0.78 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_subst__Var__IT_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_o__def_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_shift__gt_0,axiom,
% 0.18/0.78 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_T),V_j) = hAPP(V_e,V_j)
% 0.18/0.78 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_argT_0,axiom,
% 0.18/0.78 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_T_H_H____)) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_id__def_0,axiom,
% 0.18/0.78 hAPP(c_Fun_Oid(t_a),v_x) = v_x ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_lift__IT_0,axiom,
% 0.18/0.78 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_MI2_0,axiom,
% 0.18/0.78 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.18/0.78 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T2))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T2)),V_t),V_Ta))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.18/0.78
% 0.18/0.78 cnf(cls_MI1_0,axiom,
% 0.18/0.78 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.18/0.78 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T1))
% 0.18/0.78 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.18/0.78 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T1)),V_t),V_Ta))
% 0.18/0.79 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_shift__eq_0,axiom,
% 0.18/0.79 hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_x),V_T),V_x) = V_T ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Abs_0,axiom,
% 0.18/0.79 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),c_Lambda_OdB_OAbs(V_t)),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)))
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_env),c_HOL_Ozero__class_Ozero(tc_nat)),V_T)),V_t),V_U)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Var__IT_0,axiom,
% 0.18/0.79 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.18/0.79 ( hAPP(V_e,V_i) = V_T
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OVar(V_i)),V_T)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Cons_Ohyps_I1_J_1,axiom,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__local__XCons__Xhyps__1__1(v_T____,v_b____,v_e____,v_i____))) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Var_I4_J_0,axiom,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_subst__preserves__beta_0,axiom,
% 0.18/0.79 ( 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)))
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Var_I3_J_0,axiom,
% 0.18/0.79 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Cons_I1_J_1,axiom,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__local__XCons__1__1(v_T____,v_b____,v_e____,v_i____))) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_substs__lemma_0,axiom,
% 0.18/0.79 ( c_Type_Otypings(V_e,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),V_u)),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.18/0.79 | ~ c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T),V_ts,V_Ts)
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_typing_OVar_0,axiom,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),c_Lambda_OdB_OVar(V_x)),hAPP(V_env,V_x))) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_Lambda_0,axiom,
% 0.18/0.79 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.18/0.79 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_fcomp__def_0,axiom,
% 0.18/0.79 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_uIT_0,axiom,
% 0.18/0.79 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_subst__lift_0,axiom,
% 0.18/0.79 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_subst__lemma_0,axiom,
% 0.18/0.79 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),V_u),V_U))
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e_H),V_i),V_U)),V_t),V_T))
% 0.18/0.79 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_T)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_CHAINED_0,axiom,
% 0.18/0.79 c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_CHAINED_0_01,axiom,
% 0.18/0.79 c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_bs____,tc_Lambda_OdB) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_CHAINED_1,axiom,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__CHAINED__1(v_T____,v_b____,v_e____,v_i____))) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_CHAINED_0_02,axiom,
% 0.18/0.79 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),V_u),V_ia)))
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____))
% 0.18/0.79 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.18/0.79 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_b____),V_T_H)) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_conjecture_0,negated_conjecture,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_conjecture_1,negated_conjecture,
% 0.18/0.79 hBOOL(hAPP(c_InductTermi_OIT,v_xb)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_conjecture_2,negated_conjecture,
% 0.18/0.79 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_conjecture_3,negated_conjecture,
% 0.18/0.79 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.18/0.79 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.18/0.79 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.18/0.79 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.18/0.79 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.18/0.79 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.18/0.79 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.18/0.79 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.18/0.79 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.18/0.79 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.18/0.79 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.18/0.79 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.18/0.79 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.18/0.79 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.18/0.79 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.18/0.79 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.18/0.79 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.18/0.79 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.18/0.79 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.18/0.79 class_Orderings_Opreorder(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.18/0.79 class_Orderings_Olinorder(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.18/0.79 class_Orderings_Oorder(tc_nat) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.18/0.79 class_Orderings_Opreorder(tc_bool) ).
% 0.18/0.79
% 0.18/0.79 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.18/0.79 class_Orderings_Oorder(tc_bool) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.18/0.79 c_fequal(V_x,V_x,T_a) ).
% 0.18/0.79
% 0.18/0.79 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.18/0.79 ( V_X = V_Y
% 0.18/0.79 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.18/0.79
% 0.18/0.79 %------------------------------------------------------------------------------
% 0.18/0.79 %-------------------------------------------
% 0.18/0.79 % Proof found
% 0.18/0.79 % SZS status Theorem for theBenchmark
% 0.18/0.79 % SZS output start Proof
% 0.18/0.79 %ClaNum:568(EqnAxiom:159)
% 0.18/0.79 %VarNum:2120(SingletonVarNum:929)
% 0.18/0.79 %MaxLitNum:6
% 0.18/0.79 %MaxfuncDepth:8
% 0.18/0.79 %SharedTerms:335
% 0.18/0.79 %goalClause: 184 207 257 307
% 0.18/0.79 %singleGoalClaCount:4
% 0.18/0.79 [160]E(a1,a65)
% 0.18/0.79 [161]P1(a2)
% 0.18/0.79 [162]P2(a2)
% 0.18/0.79 [163]P29(a2)
% 0.18/0.79 [164]P17(a2)
% 0.18/0.79 [165]P20(a2)
% 0.18/0.79 [166]P18(a2)
% 0.18/0.79 [167]P21(a2)
% 0.18/0.79 [168]P3(a2)
% 0.18/0.79 [169]P4(a2)
% 0.18/0.79 [170]P22(a2)
% 0.18/0.79 [171]P23(a2)
% 0.18/0.79 [172]P12(a2)
% 0.18/0.79 [173]P13(a2)
% 0.18/0.79 [174]P14(a2)
% 0.18/0.79 [175]P24(a2)
% 0.18/0.79 [176]P24(a3)
% 0.18/0.79 [177]P26(a2)
% 0.18/0.79 [178]P26(a3)
% 0.18/0.79 [179]P25(a2)
% 0.18/0.79 [182]P30(f14(a15,a68))
% 0.18/0.79 [183]P30(f14(a15,a73))
% 0.18/0.79 [184]P30(f14(a15,a74))
% 0.18/0.79 [262]E(f14(f14(a39,a56),f29(a39,a61,a57,a51,a51)),a55)
% 0.18/0.79 [270]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),a63),f69(a55,a63,a59,a1)))
% 0.18/0.79 [271]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),a63),f70(a55,a63,a59,a1)))
% 0.18/0.79 [272]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),a63),f71(a55,a63,a59,a1)))
% 0.18/0.79 [275]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),f14(f14(a23,f20(a65)),a62)),f29(a39,a61,a57,a51,a51)))
% 0.18/0.79 [206]P30(f14(f14(f14(a36,a54),a73),a55))
% 0.18/0.79 [207]P30(f14(f14(f14(a36,a67),a74),a55))
% 0.18/0.79 [208]P30(f14(f14(f14(a36,a59),a68),a55))
% 0.18/0.79 [279]P30(f14(f14(f14(a36,a59),a68),f14(f14(a39,a56),f29(a39,a61,a57,a51,a51))))
% 0.18/0.79 [282]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),f20(a65)),f14(f14(a39,a56),f29(a39,a61,a57,a51,a51))))
% 0.18/0.79 [217]P7(f14(f14(f14(f37(a51),a59),a1),a55),a60,a61)
% 0.18/0.79 [280]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a54),a66),a55)),f30(a23,f20(a65),a72,a52,a52)),a58))
% 0.18/0.79 [281]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),f30(a23,f20(a65),a72,a52,a52)),a57))
% 0.18/0.79 [307]~P30(f14(a15,f14(f14(f14(a27,a63),a74),a76)))
% 0.18/0.79 [257]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a67),a76),a55)),a63),a75))
% 0.18/0.79 [258]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)),a62),a56))
% 0.18/0.79 [286]P8(f14(f14(f11(a52,a3,a3),f14(f14(f8(a3,f53(a3,a3),a52),a49),f14(f14(f8(f53(f53(a2,a51),a3),a3,a52),f9(f53(a2,a51))),f14(f14(f8(f53(f53(a2,a51),f53(a51,a3)),f53(f53(a2,a51),a3),a52),f14(f8(f53(a51,a3),a3,f53(a2,a51)),f9(a51))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(a52,a3))),f53(f53(a2,a51),f53(a51,a3)),a52),f14(f8(f53(a51,f53(a52,a3)),f53(a51,a3),f53(a2,a51)),f14(f8(f53(a52,a3),a3,a51),f9(a52)))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(a52,f53(a2,a3)))),f53(f53(a2,a51),f53(a51,f53(a52,a3))),a52),f14(f8(f53(a51,f53(a52,f53(a2,a3))),f53(a51,f53(a52,a3)),f53(a2,a51)),f14(f8(f53(a52,f53(a2,a3)),f53(a52,a3),a51),f14(f8(f53(a2,a3),a3,a52),f9(a2))))),f14(f14(f11(a52,f53(f53(a2,a51),f53(a52,f53(a2,a3))),f53(f53(a2,a51),f53(a51,f53(a52,f53(a2,a3))))),f14(f14(f8(f53(f53(a2,a51),f53(f53(a52,f53(a2,a3)),f53(a51,f53(a52,f53(a2,a3))))),f53(f53(f53(a2,a51),f53(a52,f53(a2,a3))),f53(f53(a2,a51),f53(a51,f53(a52,f53(a2,a3))))),a52),f11(f53(a2,a51),f53(a52,f53(a2,a3)),f53(a51,f53(a52,f53(a2,a3))))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))))),f53(f53(a2,a51),f53(f53(a52,f53(a2,a3)),f53(a51,f53(a52,f53(a2,a3))))),a52),f14(f8(f53(a51,f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3)))),f53(f53(a52,f53(a2,a3)),f53(a51,f53(a52,f53(a2,a3)))),f53(a2,a51)),f7(a51,f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(f53(a2,a3),f53(a2,a3)))),f53(f53(a2,a51),f53(a51,f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))))),a52),f14(f8(f53(a51,f53(f53(a2,a3),f53(a2,a3))),f53(a51,f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3)))),f53(a2,a51)),f14(f8(f53(f53(a2,a3),f53(a2,a3)),f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))),a51),f8(f53(a2,a3),f53(a2,a3),a52)))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(a2,f53(a3,a3)))),f53(f53(a2,a51),f53(a51,f53(f53(a2,a3),f53(a2,a3)))),a52),f14(f8(f53(a51,f53(a2,f53(a3,a3))),f53(a51,f53(f53(a2,a3),f53(a2,a3))),f53(a2,a51)),f14(f8(f53(a2,f53(a3,a3)),f53(f53(a2,a3),f53(a2,a3)),a51),f11(a2,a3,a3)))),f14(f14(f8(f53(f53(a2,a51),f53(a51,f53(a2,a3))),f53(f53(a2,a51),f53(a51,f53(a2,f53(a3,a3)))),a52),f14(f8(f53(a51,f53(a2,a3)),f53(a51,f53(a2,f53(a3,a3))),f53(a2,a51)),f14(f8(f53(a2,a3),f53(a2,f53(a3,a3)),a51),f14(f8(a3,f53(a3,a3),a2),a50)))),f14(f14(f8(f53(f53(a2,a51),f53(a2,f53(a51,a3))),f53(f53(a2,a51),f53(a51,f53(a2,a3))),a52),f14(f8(f53(a2,f53(a51,a3)),f53(a51,f53(a2,a3)),f53(a2,a51)),f7(a2,a51,a3))),f14(f7(f53(a2,a51),a52,f53(a2,f53(a51,a3))),f14(f14(f8(f53(a2,f53(a52,f53(a51,a3))),f53(a52,f53(a2,f53(a51,a3))),f53(a2,a51)),f7(a2,a52,f53(a51,a3))),f14(f14(f8(f53(a2,f53(a2,a51)),f53(a2,f53(a52,f53(a51,a3))),f53(a2,a51)),f14(f8(f53(a2,a51),f53(a52,f53(a51,a3)),a2),a36)),f14(f14(f7(f53(a2,a51),a51,f53(a2,f53(a2,a51))),f14(f14(f8(f53(a2,f53(a51,f53(a2,a51))),f53(a51,f53(a2,f53(a2,a51))),f53(a2,a51)),f7(a2,a51,f53(a2,a51))),f37(a51))),a55))))))))))),f14(f14(f8(f53(f53(a2,a51),f53(a52,f53(a2,a3))),f53(f53(a2,a51),f53(a52,f53(a2,a3))),a52),f14(f8(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3)),f53(a2,a51)),f14(f11(a52,f53(a2,a3),f53(a2,a3)),f14(f14(f8(f53(a3,a3),f53(f53(a2,a3),f53(a2,a3)),a52),f8(a3,a3,a2)),f14(f14(f8(a3,f53(a3,a3),a52),a50),a15))))),f14(f14(f8(f53(a52,f53(a2,a3)),f53(f53(a2,a51),f53(a52,f53(a2,a3))),a52),f14(f7(f53(a2,a51),f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))),f14(f14(f8(f53(a52,f53(f53(a2,a3),f53(a2,a3))),f53(f53(a52,f53(a2,a3)),f53(a52,f53(a2,a3))),f53(a2,a51)),f11(a52,f53(a2,a3),f53(a2,a3))),f14(f14(f8(f53(a52,f53(a3,a3)),f53(a52,f53(f53(a2,a3),f53(a2,a3))),f53(a2,a51)),f14(f8(f53(a3,a3),f53(f53(a2,a3),f53(a2,a3)),a52),f8(a3,a3,a2))),f14(f14(f8(f53(a52,a3),f53(a52,f53(a3,a3)),f53(a2,a51)),f14(f8(a3,f53(a3,a3),a52),a50)),f14(f14(f7(f53(a2,a51),a51,f53(a52,a3)),f14(f14(f8(f53(a52,f53(a51,a3)),f53(a51,f53(a52,a3)),f53(a2,a51)),f7(a52,a51,a3)),a36)),a55)))))),f14(f14(f8(f53(a52,f53(a2,a52)),f53(a52,f53(a2,a3)),a52),f14(f8(f53(a2,a52),f53(a2,a3),a52),f14(f8(a52,a3,a2),a15))),a27)))))))))),f14(f14(f8(f53(a51,a3),a3,a52),f12(a51)),f14(a36,f14(f14(f14(f37(a51),a59),a1),a55)))),a64,a52)
% 0.18/0.79 [284]P8(a15,f32(f14(f14(f7(a52,a2,a52),a26),f19(a2)),f32(f14(f14(f7(a52,a2,a52),f14(f14(f7(a52,a52,f53(a2,a52)),a27),a68)),a1),a64,a52,a52),a52,a52),a52)
% 0.18/0.79 [300]~P6(x3001,x3001,a2)
% 0.18/0.79 [191]E(f17(x1911,x1911,a2),f19(a2))
% 0.18/0.79 [302]~P6(x3021,f19(a2),a2)
% 0.18/0.79 [185]P30(f14(a15,f20(x1851)))
% 0.18/0.79 [187]E(f14(f14(f16(a2),x1871),f19(a2)),x1871)
% 0.18/0.79 [192]E(f17(x1921,f19(a2),a2),x1921)
% 0.18/0.79 [196]E(f17(f19(a2),x1961,a2),f19(a2))
% 0.18/0.79 [205]P6(x2051,f14(f14(f16(a2),x2051),f18(a2)),a2)
% 0.18/0.79 [210]P6(f19(a2),f14(f14(f16(a2),x2101),f18(a2)),a2)
% 0.18/0.79 [294]~E(f14(f14(f16(a2),x2941),f18(a2)),x2941)
% 0.18/0.79 [298]~E(f14(f14(f16(a2),x2981),f18(a2)),f19(a2))
% 0.18/0.79 [188]E(f14(f14(f16(a2),f19(a2)),x1881),x1881)
% 0.18/0.79 [190]P5(x1901,x1901,x1902)
% 0.18/0.79 [288]~E(f21(x2881),f20(x2882))
% 0.18/0.79 [181]E(f14(f5(x1811),x1812),x1812)
% 0.18/0.79 [189]E(f24(f24(x1891,x1892),x1892),f24(x1891,x1892))
% 0.18/0.79 [195]E(f25(f19(a2),x1951,x1952),x1951)
% 0.18/0.79 [219]P30(f14(f14(f14(a36,x2191),f20(x2192)),f14(x2191,x2192)))
% 0.18/0.79 [220]P6(f17(x2201,x2202,a2),f14(f14(f16(a2),x2201),f18(a2)),a2)
% 0.18/0.79 [221]E(f28(f19(a2),x2211,x2212,x2212),f5(x2212))
% 0.18/0.79 [238]E(f14(f14(f14(a27,x2381),f25(f19(a2),x2382,f19(a2))),f19(a2)),f14(f14(f14(a27,x2381),x2382),f19(a2)))
% 0.18/0.79 [243]P6(x2431,f14(f14(f16(a2),f14(f14(f16(a2),x2432),x2431)),f18(a2)),a2)
% 0.18/0.79 [245]P6(x2451,f14(f14(f16(a2),f14(f14(f16(a2),x2451),x2452)),f18(a2)),a2)
% 0.18/0.79 [197]E(f14(f14(f16(a2),x1971),x1972),f14(f14(f16(a2),x1972),x1971))
% 0.18/0.79 [227]E(f17(x2271,f14(f14(f16(a2),x2272),f18(a2)),a2),f17(f17(x2271,f18(a2),a2),x2272,a2))
% 0.18/0.79 [242]E(f14(f14(f16(a2),f14(f14(f16(a2),f38(x2421)),f38(x2422))),f14(f14(f16(a2),f19(a2)),f18(a2))),f38(f14(f14(a39,x2421),x2422)))
% 0.18/0.79 [248]E(f14(f14(f16(a2),f14(f14(f16(a2),f33(x2481,a51)),f33(x2482,a51))),f14(f14(f16(a2),f19(a2)),f18(a2))),f33(f14(f14(a39,x2481),x2482),a51))
% 0.18/0.79 [250]P30(f14(f14(a22,f14(f14(a23,f21(x2501)),x2502)),f14(f14(f14(a27,x2501),x2502),f19(a2))))
% 0.18/0.79 [304]~P30(f14(f14(a22,f20(x3041)),x3042))
% 0.18/0.79 [305]~P6(f14(f14(f16(a2),x3051),x3052),x3052,a2)
% 0.18/0.79 [306]~P6(f14(f14(f16(a2),x3061),x3062),x3061,a2)
% 0.18/0.79 [199]E(f14(f14(f14(a27,f20(x1991)),x1992),x1991),x1992)
% 0.18/0.79 [201]E(f17(f14(f14(f16(a2),x2011),x2012),x2012,a2),x2011)
% 0.18/0.79 [202]E(f17(f14(f14(f16(a2),x2021),x2022),x2021,a2),x2022)
% 0.18/0.79 [203]E(f17(x2031,f14(f14(f16(a2),x2031),x2032),a2),f19(a2))
% 0.18/0.79 [229]E(f21(f14(f14(a26,x2291),f14(f14(f16(a2),x2292),f18(a2)))),f14(f14(a26,f21(x2291)),x2292))
% 0.18/0.79 [236]E(f14(f14(f16(a2),f14(f14(f16(a2),x2361),f18(a2))),x2362),f14(f14(f16(a2),x2361),f14(f14(f16(a2),x2362),f18(a2))))
% 0.18/0.79 [240]E(f14(f14(f16(a2),f14(f14(f16(a2),x2401),f18(a2))),x2402),f14(f14(f16(a2),f14(f14(f16(a2),x2401),x2402)),f18(a2)))
% 0.18/0.79 [228]E(f17(f17(x2281,x2282,a2),x2283,a2),f17(f17(x2281,x2283,a2),x2282,a2))
% 0.18/0.79 [252]E(f10(x2521,f5(x2522),x2522,x2523,x2522),x2521)
% 0.18/0.79 [253]E(f13(x2531,f5(x2532),x2533,x2532,x2532),x2531)
% 0.18/0.79 [254]E(f10(f5(x2541),x2542,x2541,x2541,x2543),x2542)
% 0.18/0.79 [255]E(f13(f5(x2551),x2552,x2551,x2551,x2553),x2552)
% 0.18/0.79 [289]~E(f20(x2891),f14(f14(a23,x2892),x2893))
% 0.18/0.79 [290]~E(f21(x2901),f14(f14(a23,x2902),x2903))
% 0.18/0.79 [291]~E(f14(f14(a23,x2911),x2912),f20(x2913))
% 0.18/0.79 [292]~E(f14(f14(a23,x2921),x2922),f21(x2923))
% 0.18/0.79 [214]P30(f14(f14(f24(x2141,x2142),x2143),x2143))
% 0.18/0.79 [237]E(f25(f14(f14(f16(a2),x2371),f18(a2)),x2372,x2373),f14(f14(a26,f25(x2371,x2372,x2373)),x2373))
% 0.18/0.79 [247]E(f17(f17(f14(f14(f16(a2),x2471),f18(a2)),x2472,a2),f14(f14(f16(a2),x2473),f18(a2)),a2),f17(f17(x2471,x2472,a2),x2473,a2))
% 0.18/0.79 [260]E(f28(f14(f14(f16(a2),x2601),f18(a2)),x2602,x2603,x2603),f10(x2602,f28(x2601,x2602,x2603,x2603),x2603,x2603,x2603))
% 0.18/0.79 [222]E(f14(f14(f16(a2),x2221),f14(f14(f16(a2),x2222),x2223)),f14(f14(f16(a2),x2222),f14(f14(f16(a2),x2221),x2223)))
% 0.18/0.79 [223]E(f17(f14(f14(f16(a2),x2231),x2232),f14(f14(f16(a2),x2233),x2232),a2),f17(x2231,x2233,a2))
% 0.18/0.79 [224]E(f17(f14(f14(f16(a2),x2241),x2242),f14(f14(f16(a2),x2241),x2243),a2),f17(x2242,x2243,a2))
% 0.18/0.79 [226]E(f17(x2261,f14(f14(f16(a2),x2262),x2263),a2),f17(f17(x2261,x2262,a2),x2263,a2))
% 0.18/0.79 [233]E(f21(f25(x2331,x2332,f14(f14(f16(a2),x2333),f18(a2)))),f25(x2331,f21(x2332),x2333))
% 0.18/0.79 [239]E(f14(f14(a23,f14(f14(a26,x2391),x2392)),f14(f14(a26,x2393),x2392)),f14(f14(a26,f14(f14(a23,x2391),x2393)),x2392))
% 0.18/0.79 [249]E(f21(f14(f14(f14(a27,x2491),f14(f14(a26,x2492),f19(a2))),f14(f14(f16(a2),x2493),f18(a2)))),f14(f14(f14(a27,f21(x2491)),x2492),x2493))
% 0.18/0.79 [259]E(f21(f14(f14(f14(a27,x2591),f25(f14(f14(f16(a2),x2592),f18(a2)),x2593,f19(a2))),f14(f14(f16(a2),x2592),f18(a2)))),f14(f14(f14(a27,f21(x2591)),f25(x2592,x2593,f19(a2))),x2592))
% 0.18/0.79 [232]E(f14(f14(f16(a2),f14(f14(f16(a2),x2321),x2322)),x2323),f14(f14(f16(a2),x2321),f14(f14(f16(a2),x2322),x2323)))
% 0.18/0.79 [235]E(f14(f14(f14(a27,f14(f14(a26,x2351),x2352)),x2353),x2352),x2351)
% 0.18/0.79 [278]E(f30(a23,f14(f14(a26,x2781),x2782),f32(f14(f14(f7(a52,a2,a52),a26),x2782),x2783,a52,a52),a52,a52),f14(f14(a26,f30(a23,x2781,x2783,a52,a52)),x2782))
% 0.18/0.79 [200]E(f14(f6(x2001,x2002,x2003),x2004),x2001)
% 0.18/0.79 [309]~E(f30(a23,f21(x3091),x3092,a52,a52),f30(a23,f20(x3093),x3094,a52,a52))
% 0.18/0.79 [241]E(f14(f14(a23,f25(x2411,x2412,x2413)),f25(x2411,x2414,x2413)),f25(x2411,f14(f14(a23,x2412),x2414),x2413))
% 0.18/0.79 [256]E(f14(f28(x2561,x2562,x2563,x2563),f14(x2562,x2564)),f14(x2562,f14(f28(x2561,x2562,x2563,x2563),x2564)))
% 0.18/0.79 [273]E(f14(f10(f6(x2731,x2732,x2733),x2734,x2733,x2732,a4),a67),x2731)
% 0.18/0.79 [308]~E(f14(f14(a23,f21(x3081)),x3082),f30(a23,f20(x3083),x3084,a52,a52))
% 0.18/0.79 [269]E(f10(f28(x2691,x2692,x2693,x2693),f28(x2694,x2692,x2693,x2693),x2693,x2693,x2693),f28(f14(f14(f16(a2),x2691),x2694),x2692,x2693,x2693))
% 0.18/0.79 [218]E(f14(f14(f14(f14(f37(x2181),x2182),x2183),x2184),x2183),x2184)
% 0.18/0.79 [251]E(f14(f14(a23,f14(f14(f14(a27,x2511),x2512),x2513)),f14(f14(f14(a27,x2514),x2512),x2513)),f14(f14(f14(a27,f14(f14(a23,x2511),x2514)),x2512),x2513))
% 0.18/0.79 [285]E(f30(a23,f14(f14(f14(a27,x2851),x2852),x2853),f32(f14(f14(f7(a52,a2,a52),f14(f14(f7(a52,a52,f53(a2,a52)),a27),x2852)),x2853),x2854,a52,a52),a52,a52),f14(f14(f14(a27,f30(a23,x2851,x2854,a52,a52)),x2852),x2853))
% 0.18/0.79 [261]E(f14(f14(f14(f37(x2611),f14(f14(f14(f37(x2611),x2612),f19(a2)),x2613)),f14(f14(f16(a2),x2614),f18(a2))),x2615),f14(f14(f14(f37(x2611),f14(f14(f14(f37(x2611),x2612),x2614),x2615)),f19(a2)),x2613))
% 0.18/0.79 [266]E(f14(f10(x2661,x2662,x2663,x2664,x2665),x2666),f14(x2661,f14(x2662,x2666)))
% 0.18/0.79 [267]E(f14(f13(x2671,x2672,x2673,x2674,x2675),x2676),f14(x2672,f14(x2671,x2676)))
% 0.18/0.79 [274]E(f32(x2741,f32(x2742,x2743,x2744,x2745),x2745,x2746),f32(f10(x2741,x2742,x2745,x2746,x2744),x2743,x2744,x2746))
% 0.18/0.79 [246]E(f14(f14(f14(f7(x2461,x2462,x2463),x2464),x2465),x2466),f14(f14(x2464,x2466),x2465))
% 0.18/0.79 [276]E(f10(x2761,f10(x2762,x2763,x2764,x2765,x2766),x2765,x2767,x2766),f10(f10(x2761,x2762,x2765,x2767,x2764),x2763,x2764,x2767,x2766))
% 0.18/0.79 [277]E(f13(f13(x2771,x2772,x2773,x2774,x2775),x2776,x2773,x2775,x2777),f13(x2771,f13(x2772,x2776,x2774,x2775,x2777),x2773,x2774,x2777))
% 0.18/0.79 [313]~P29(x3131)+~E(f18(x3131),f19(x3131))
% 0.18/0.79 [319]E(x3191,f19(a2))+P6(f19(a2),x3191,a2)
% 0.18/0.79 [333]~P20(x3331)+P6(f19(x3331),f18(x3331),x3331)
% 0.18/0.79 [354]~P20(x3541)+~P6(f18(x3541),f19(x3541),x3541)
% 0.18/0.79 [314]~P1(x3141)+E(f34(f19(a2),x3141),f19(x3141))
% 0.18/0.79 [315]~P1(x3151)+E(f34(f18(a2),x3151),f18(x3151))
% 0.18/0.79 [338]~P16(x3381)+E(f14(f14(f16(x3381),f19(x3381)),f19(x3381)),f19(x3381))
% 0.18/0.79 [339]~P30(f14(a15,x3391))+P30(f14(a15,f21(x3391)))
% 0.18/0.79 [398]~P20(x3981)+P6(f19(x3981),f14(f14(f16(x3981),f18(x3981)),f18(x3981)),x3981)
% 0.18/0.79 [421]E(x4211,f19(a2))+~P6(x4211,f14(f14(f16(a2),f19(a2)),f18(a2)),a2)
% 0.18/0.79 [466]~P6(f19(a2),x4661,a2)+E(f14(f14(f16(a2),f17(x4661,f18(a2),a2)),f18(a2)),x4661)
% 0.18/0.79 [505]~P6(f19(a2),x5051,a2)+E(f14(f14(f16(a2),f17(x5051,f14(f14(f16(a2),f19(a2)),f18(a2)),a2)),f18(a2)),x5051)
% 0.18/0.79 [520]~P8(a15,x5201,a52)+P8(a15,f32(f14(f14(f7(a52,a2,a52),a26),f19(a2)),x5201,a52,a52),a52)
% 0.18/0.79 [341]~P6(x3412,x3412,x3411)+~P24(x3411)
% 0.18/0.79 [342]~P6(x3422,x3422,x3421)+~P26(x3421)
% 0.18/0.79 [343]~P6(x3432,x3432,x3431)+~P25(x3431)
% 0.18/0.79 [310]E(x3101,x3102)+~E(f20(x3101),f20(x3102))
% 0.18/0.79 [311]E(x3111,x3112)+~E(f21(x3111),f21(x3112))
% 0.18/0.79 [316]~P24(x3162)+P24(f53(x3161,x3162))
% 0.18/0.79 [317]~P26(x3172)+P26(f53(x3171,x3172))
% 0.18/0.79 [321]~P15(x3212)+E(f17(x3211,x3211,x3212),f19(x3212))
% 0.18/0.79 [322]~P11(x3222)+E(f17(x3221,x3221,x3222),f19(x3222))
% 0.18/0.79 [365]~P20(x3651)+~P6(f34(x3652,x3651),f19(x3651),x3651)
% 0.18/0.79 [420]~P6(x4202,x4201,a2)+P6(f19(a2),f17(x4201,x4202,a2),a2)
% 0.18/0.79 [437]P6(x4371,x4372,a2)+~P6(f19(a2),f17(x4372,x4371,a2),a2)
% 0.18/0.79 [323]~P2(x3231)+E(f14(f14(f16(x3231),x3232),f19(x3231)),x3232)
% 0.18/0.79 [324]~P23(x3241)+E(f14(f14(f16(x3241),x3242),f19(x3241)),x3242)
% 0.18/0.79 [325]~P12(x3251)+E(f14(f14(f16(x3251),x3252),f19(x3251)),x3252)
% 0.18/0.79 [326]~P15(x3262)+E(f17(x3261,f19(x3262),x3262),x3261)
% 0.18/0.79 [380]~P20(x3802)+P6(x3801,f14(f14(f16(x3802),x3801),f18(x3802)),x3802)
% 0.18/0.79 [394]P6(x3941,x3942,a2)+P6(x3942,f14(f14(f16(a2),x3941),f18(a2)),a2)
% 0.18/0.79 [397]P6(x3972,x3971,a2)+E(f14(f14(f16(a2),x3971),f17(x3972,x3971,a2)),x3972)
% 0.18/0.79 [411]~P30(f14(f14(a22,x4111),x4112))+P30(f14(f14(a22,f21(x4111)),f21(x4112)))
% 0.18/0.79 [447]~P6(x4471,x4472,a2)+~P6(x4472,f14(f14(f16(a2),x4471),f18(a2)),a2)
% 0.18/0.79 [483]P6(x4831,x4832,a2)+~P6(f14(f14(f16(a2),x4831),f18(a2)),f14(f14(f16(a2),x4832),f18(a2)),a2)
% 0.18/0.79 [506]~P1(x5061)+E(f35(f14(f14(f7(x5061,x5061,x5061),f16(x5061)),f18(x5061)),x5062,f19(x5061),x5061),f34(x5062,x5061))
% 0.18/0.79 [529]~P2(x5291)+E(f30(f16(x5291),f19(x5291),x5292,x5291,x5291),f29(f16(x5291),x5292,f19(x5291),x5291,x5291))
% 0.18/0.79 [327]~P2(x3271)+E(f14(f14(f16(x3271),f19(x3271)),x3272),x3272)
% 0.18/0.79 [329]~P23(x3291)+E(f14(f14(f16(x3291),f19(x3291)),x3292),x3292)
% 0.18/0.79 [330]~P12(x3301)+E(f14(f14(f16(x3301),f19(x3301)),x3302),x3302)
% 0.18/0.79 [335]E(x3351,f19(a2))+~E(f14(f14(f16(a2),x3352),x3351),x3352)
% 0.18/0.79 [336]E(x3361,f19(a2))+~E(f14(f14(f16(a2),x3362),x3361),f19(a2))
% 0.18/0.79 [337]E(x3371,f19(a2))+~E(f14(f14(f16(a2),x3371),x3372),f19(a2))
% 0.18/0.79 [364]~P6(x3641,x3642,a2)+E(f14(f14(a26,f20(x3641)),x3642),f20(x3641))
% 0.18/0.79 [396]P6(x3961,x3962,a2)+E(f14(f14(a26,f20(x3961)),x3962),f20(f14(f14(f16(a2),x3961),f18(a2))))
% 0.18/0.79 [399]~P1(x3992)+E(f34(f14(f14(f16(a2),x3991),f18(a2)),x3992),f14(f14(f16(x3992),f18(x3992)),f34(x3991,x3992)))
% 0.18/0.79 [401]~P30(f14(a15,x4011))+P30(f14(a15,f14(f14(a26,x4011),x4012)))
% 0.18/0.79 [417]~P30(f14(a15,x4171))+P30(f14(a15,f14(f14(a23,x4171),f20(x4172))))
% 0.18/0.79 [481]~P6(f19(a2),x4811,a2)+P6(f17(x4811,f14(f14(f16(a2),x4812),f18(a2)),a2),x4811,a2)
% 0.18/0.79 [486]P30(f14(f14(f24(a22,a52),f21(x4861)),f21(x4862)))+~P30(f14(f14(f24(a22,a52),x4861),x4862))
% 0.18/0.79 [513]E(x5131,f19(a2))+E(f14(f14(f16(a2),f14(f14(f16(a2),f17(x5131,f18(a2),a2)),x5132)),f18(a2)),f14(f14(f16(a2),x5131),x5132))
% 0.18/0.79 [549]~P8(a15,x5492,a52)+P30(f14(a15,f30(a23,f20(x5491),x5492,a52,a52)))
% 0.18/0.79 [340]E(x3401,x3402)+~P5(x3401,x3402,x3403)
% 0.18/0.79 [418]~P6(x4181,x4183,a2)+P6(f17(x4181,x4182,a2),x4183,a2)
% 0.18/0.79 [524]E(x5241,f21(x5242))+~E(f30(a23,x5241,x5243,a52,a52),f21(x5242))
% 0.18/0.79 [525]E(f20(x5251),x5252)+~E(f20(x5251),f30(a23,x5252,x5253,a52,a52))
% 0.18/0.79 [526]E(f21(x5261),x5262)+~E(f21(x5261),f30(a23,x5262,x5263,a52,a52))
% 0.18/0.79 [538]E(x5381,x5382)+~E(f30(a23,x5381,x5383,a52,a52),f30(a23,x5382,x5383,a52,a52))
% 0.18/0.79 [369]~P6(x3692,x3693,a2)+E(f25(x3691,f20(x3692),x3693),f20(x3692))
% 0.18/0.79 [422]~P1(x4223)+E(f35(x4221,f19(a2),x4222,x4223),x4222)
% 0.18/0.79 [528]~P3(x5281)+E(f30(f16(x5281),x5282,x5283,x5281,x5281),f29(f16(x5281),x5283,x5282,x5281,x5281))
% 0.18/0.79 [554]~P30(f14(f14(a22,x5541),x5543))+P30(f14(f14(a22,f30(a23,x5541,x5542,a52,a52)),f30(a23,x5543,x5542,a52,a52)))
% 0.18/0.79 [556]~P9(a22,x5562,x5563,a52)+P30(f14(f14(a22,f30(a23,x5561,x5562,a52,a52)),f30(a23,x5561,x5563,a52,a52)))
% 0.18/0.79 [352]~P23(x3521)+E(f14(f14(f16(x3521),x3522),x3523),f14(f14(f16(x3521),x3523),x3522))
% 0.18/0.79 [353]~P12(x3531)+E(f14(f14(f16(x3531),x3532),x3533),f14(f14(f16(x3531),x3533),x3532))
% 0.18/0.79 [367]E(x3671,x3672)+~E(f14(f14(f16(a2),x3673),x3671),f14(f14(f16(a2),x3673),x3672))
% 0.18/0.79 [368]E(x3681,x3682)+~E(f14(f14(f16(a2),x3681),x3683),f14(f14(f16(a2),x3682),x3683))
% 0.18/0.79 [407]~P6(x4071,x4073,a2)+P6(x4071,f14(f14(f16(a2),x4072),x4073),a2)
% 0.18/0.79 [409]~P6(x4091,x4092,a2)+P6(x4091,f14(f14(f16(a2),x4092),x4093),a2)
% 0.18/0.79 [429]~P15(x4291)+E(f14(f14(f16(x4291),f17(x4292,x4293,x4291)),x4293),x4292)
% 0.18/0.79 [430]P6(x4301,x4302,a2)+~P6(f14(f14(f16(a2),x4301),x4303),x4302,a2)
% 0.18/0.79 [444]~P6(x4441,x4443,a2)+P6(f14(f14(f16(a2),x4441),x4442),f14(f14(f16(a2),x4443),x4442),a2)
% 0.18/0.79 [445]~P6(x4452,x4453,a2)+P6(f14(f14(f16(a2),x4451),x4452),f14(f14(f16(a2),x4451),x4453),a2)
% 0.18/0.79 [454]E(f14(x4541,x4542),x4543)+~P30(f14(f14(f14(a36,x4541),f20(x4542)),x4543))
% 0.18/0.79 [469]P6(x4691,f17(x4692,x4693,a2),a2)+~P6(f14(f14(f16(a2),x4691),x4693),x4692,a2)
% 0.18/0.79 [471]~P6(x4711,f17(x4713,x4712,a2),a2)+P6(f14(f14(f16(a2),x4711),x4712),x4713,a2)
% 0.18/0.79 [479]P6(x4791,x4792,a2)+~P6(f14(f14(f16(a2),x4793),x4791),f14(f14(f16(a2),x4793),x4792),a2)
% 0.18/0.79 [497]~P30(f14(f14(a22,x4971),x4973))+P30(f14(f14(a22,f14(f14(a23,x4971),x4972)),f14(f14(a23,x4973),x4972)))
% 0.18/0.79 [498]~P30(f14(f14(a22,x4982),x4983))+P30(f14(f14(a22,f14(f14(a23,x4981),x4982)),f14(f14(a23,x4981),x4983)))
% 0.18/0.79 [499]~P30(f14(f14(a22,x4991),x4993))+P30(f14(f14(a22,f14(f14(a26,x4991),x4992)),f14(f14(a26,x4993),x4992)))
% 0.18/0.79 [500]E(f14(f14(a39,f40(x5001,x5002,x5003)),f46(x5001,x5002,x5003)),x5001)+~P30(f14(f14(f14(a36,x5002),f21(x5003)),x5001))
% 0.18/0.79 [507]~P30(f14(f14(f24(a22,a52),x5071),x5073))+P30(f14(f14(f24(a22,a52),f14(f14(a23,x5071),x5072)),f14(f14(a23,x5073),x5072)))
% 0.18/0.79 [508]~P30(f14(f14(f24(a22,a52),x5082),x5083))+P30(f14(f14(f24(a22,a52),f14(f14(a23,x5081),x5082)),f14(f14(a23,x5081),x5083)))
% 0.18/0.79 [509]~P30(f14(f14(f24(a22,a52),x5091),x5093))+P30(f14(f14(f24(a22,a52),f14(f14(a26,x5091),x5092)),f14(f14(a26,x5093),x5092)))
% 0.18/0.79 [530]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5301),f19(a2)),f42(x5301,x5302))),x5302),f43(x5301,x5302)))+~P30(f14(f14(f14(a36,x5301),f21(x5302)),x5303))
% 0.18/0.79 [536]~P2(x5361)+E(f14(f14(f16(x5361),x5362),f29(f16(x5361),x5363,f19(x5361),x5361,x5361)),f30(f16(x5361),x5362,x5363,x5361,x5361))
% 0.18/0.79 [537]~P2(x5371)+E(f14(f14(f16(x5371),x5372),f30(f16(x5371),f19(x5371),x5373,x5371,x5371)),f30(f16(x5371),x5372,x5373,x5371,x5371))
% 0.18/0.79 [548]P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5481),f19(a2)),f40(x5482,x5481,x5483))),x5483),f46(x5482,x5481,x5483)))+~P30(f14(f14(f14(a36,x5481),f21(x5483)),x5482))
% 0.18/0.79 [555]P30(f14(f14(f24(a22,a52),f30(a23,x5551,x5552,a52,a52)),f30(a23,x5553,x5552,a52,a52)))+~P30(f14(f14(f24(a22,a52),x5551),x5553))
% 0.18/0.79 [373]~P15(x3731)+E(f17(f14(f14(f16(x3731),x3732),x3733),x3733,x3731),x3732)
% 0.18/0.79 [392]~P6(x3921,x3923,a2)+E(f14(f14(f14(a27,f20(x3921)),x3922),x3923),f20(x3921))
% 0.18/0.79 [400]P6(x4002,x4003,a2)+E(f25(x4001,f20(x4002),x4003),f20(f14(f14(f16(a2),x4002),x4001)))
% 0.18/0.79 [419]~P1(x4191)+E(f14(f14(f16(x4191),f34(x4192,x4191)),f34(x4193,x4191)),f34(f14(f14(f16(a2),x4192),x4193),x4191))
% 0.18/0.79 [439]~P6(x4393,x4391,a2)+E(f14(f14(f14(a27,f20(x4391)),x4392),x4393),f20(f17(x4391,f18(a2),a2)))
% 0.18/0.79 [487]~P30(f14(a15,x4871))+P30(f14(a15,f14(f14(f14(a27,x4871),f20(x4872)),x4873)))
% 0.18/0.79 [501]~P6(x5012,f14(f14(f16(a2),x5013),f18(a2)),a2)+E(f14(f14(a26,f14(f14(a26,x5011),x5012)),f14(f14(f16(a2),x5013),f18(a2))),f14(f14(a26,f14(f14(a26,x5011),x5013)),x5012))
% 0.18/0.79 [557]P9(a22,x5571,f31(x5572,x5571,x5573),a52)+~P30(f14(f14(a22,f30(a23,f20(x5572),x5571,a52,a52)),x5573))
% 0.18/0.79 [561]E(f30(a23,f20(x5611),f31(x5611,x5612,x5613),a52,a52),x5613)+~P30(f14(f14(a22,f30(a23,f20(x5611),x5612,a52,a52)),x5613))
% 0.18/0.79 [511]P30(f14(x5111,x5112))+~P30(f14(x5111,f17(f14(f14(f16(a2),x5113),x5112),x5113,a2)))
% 0.18/0.79 [355]E(x3551,x3552)+~E(f14(f14(a23,x3553),x3551),f14(f14(a23,x3554),x3552))
% 0.18/0.79 [356]E(x3561,x3562)+~E(f14(f14(a39,x3563),x3561),f14(f14(a39,x3564),x3562))
% 0.18/0.79 [357]E(x3571,x3572)+~E(f14(f14(a23,x3571),x3573),f14(f14(a23,x3572),x3574))
% 0.18/0.79 [358]E(x3581,x3582)+~E(f14(f14(a39,x3581),x3583),f14(f14(a39,x3582),x3584))
% 0.18/0.79 [540]E(x5401,x5402)+~E(f30(a23,f20(x5403),x5401,a52,a52),f30(a23,f20(x5404),x5402,a52,a52))
% 0.18/0.79 [541]E(x5411,x5412)+~E(f30(a23,f21(x5413),x5411,a52,a52),f30(a23,f21(x5414),x5412,a52,a52))
% 0.18/0.79 [542]E(x5421,x5422)+~E(f30(a23,f20(x5421),x5423,a52,a52),f30(a23,f20(x5422),x5424,a52,a52))
% 0.18/0.79 [543]E(x5431,x5432)+~E(f30(a23,f21(x5431),x5433,a52,a52),f30(a23,f21(x5432),x5434,a52,a52))
% 0.18/0.79 [440]~P30(f14(f14(x4401,x4403),x4404))+P30(f14(f14(f24(x4401,x4402),x4403),x4404))
% 0.18/0.79 [496]~P1(x4964)+E(f35(x4961,f14(f14(f16(a2),x4962),f18(a2)),x4963,x4964),f35(x4961,x4962,f14(x4961,x4963),x4964))
% 0.18/0.79 [558]P7(x5581,x5582,f44(x5583,x5581,x5584,x5582))+~P30(f14(f14(f14(a36,x5581),f30(a23,x5584,x5582,a52,a52)),x5583))
% 0.18/0.79 [559]P7(x5591,x5592,f45(x5593,x5591,x5594,x5592))+~P30(f14(f14(f14(a36,x5591),f30(a23,x5594,x5592,a52,a52)),x5593))
% 0.18/0.79 [563]~P30(f14(f14(f14(a36,x5631),f30(a23,x5632,x5634,a52,a52)),x5633))+P30(f14(f14(f14(a36,x5631),x5632),f29(a39,f44(x5633,x5631,x5632,x5634),x5633,a51,a51)))
% 0.18/0.79 [564]~P30(f14(f14(f14(a36,x5641),f30(a23,x5642,x5644,a52,a52)),x5643))+P30(f14(f14(f14(a36,x5641),x5642),f29(a39,f45(x5643,x5641,x5642,x5644),x5643,a51,a51)))
% 0.18/0.79 [441]~P11(x4411)+E(f14(f14(f16(x4411),x4412),f14(f14(f16(x4411),x4413),x4414)),f14(f14(f16(x4411),x4413),f14(f14(f16(x4411),x4412),x4414)))
% 0.18/0.79 [442]~P23(x4421)+E(f14(f14(f16(x4421),x4422),f14(f14(f16(x4421),x4423),x4424)),f14(f14(f16(x4421),x4423),f14(f14(f16(x4421),x4422),x4424)))
% 0.18/0.79 [443]~P12(x4431)+E(f14(f14(f16(x4431),x4432),f14(f14(f16(x4431),x4433),x4434)),f14(f14(f16(x4431),x4433),f14(f14(f16(x4431),x4432),x4434)))
% 0.18/0.79 [514]~P30(f14(f14(a22,x5141),x5144))+P30(f14(f14(a22,f14(f14(f14(a27,x5141),x5142),x5143)),f14(f14(f14(a27,x5144),x5142),x5143)))
% 0.18/0.79 [517]~P30(f14(f14(a22,x5172),x5174))+P30(f14(f14(f24(a22,a52),f14(f14(f14(a27,x5171),x5172),x5173)),f14(f14(f14(a27,x5171),x5174),x5173)))
% 0.18/0.79 [518]~P30(f14(f14(f24(a22,a52),x5181),x5184))+P30(f14(f14(f24(a22,a52),f14(f14(f14(a27,x5181),x5182),x5183)),f14(f14(f14(a27,x5184),x5182),x5183)))
% 0.18/0.79 [519]~P30(f14(f14(f24(a22,a52),x5192),x5194))+P30(f14(f14(f24(a22,a52),f14(f14(f14(a27,x5191),x5192),x5193)),f14(f14(f14(a27,x5191),x5194),x5193)))
% 0.18/0.79 [522]P30(f14(f14(f14(a36,x5221),x5222),f41(x5223,x5221,x5224,x5222)))+~P30(f14(f14(f14(a36,x5221),f14(f14(a23,x5224),x5222)),x5223))
% 0.18/0.79 [539]~P22(x5391)+E(f30(f16(x5391),f14(f14(f16(x5391),x5392),x5393),x5394,x5391,x5391),f14(f14(f16(x5391),x5392),f30(f16(x5391),x5393,x5394,x5391,x5391)))
% 0.18/0.79 [551]~P30(f14(f14(f14(a36,x5511),f14(f14(a23,x5512),x5514)),x5513))+P30(f14(f14(f14(a36,x5511),x5512),f14(f14(a39,f41(x5513,x5511,x5512,x5514)),x5513)))
% 0.18/0.79 [560]P7(x5601,x5602,f47(x5603,x5601,x5604,x5602))+~P30(f14(f14(f14(a36,x5601),f30(a23,f20(x5604),x5602,a52,a52)),x5603))
% 0.18/0.79 [565]P30(f14(f14(f14(a36,x5651),f20(x5652)),f29(a39,f47(x5653,x5651,x5652,x5654),x5653,a51,a51)))+~P30(f14(f14(f14(a36,x5651),f30(a23,f20(x5652),x5654,a52,a52)),x5653))
% 0.18/0.79 [476]~P3(x4761)+E(f14(f14(f16(x4761),f14(f14(f16(x4761),x4762),x4763)),x4764),f14(f14(f16(x4761),x4762),f14(f14(f16(x4761),x4763),x4764)))
% 0.18/0.79 [477]~P23(x4771)+E(f14(f14(f16(x4771),f14(f14(f16(x4771),x4772),x4773)),x4774),f14(f14(f16(x4771),x4772),f14(f14(f16(x4771),x4773),x4774)))
% 0.18/0.79 [478]~P12(x4781)+E(f14(f14(f16(x4781),f14(f14(f16(x4781),x4782),x4783)),x4784),f14(f14(f16(x4781),x4782),f14(f14(f16(x4781),x4783),x4784)))
% 0.18/0.79 [491]~P23(x4911)+E(f14(f14(f16(x4911),f14(f14(f16(x4911),x4912),x4913)),x4914),f14(f14(f16(x4911),f14(f14(f16(x4911),x4912),x4914)),x4913))
% 0.18/0.79 [515]~P6(x5152,f14(f14(f16(a2),x5154),f18(a2)),a2)+E(f14(f14(f14(a27,f14(f14(a26,x5151),x5152)),f14(f14(a26,x5153),x5152)),f14(f14(f16(a2),x5154),f18(a2))),f14(f14(a26,f14(f14(f14(a27,x5151),x5153),x5154)),x5152))
% 0.18/0.79 [523]~P6(x5234,f14(f14(f16(a2),x5232),f18(a2)),a2)+E(f14(f14(f14(a27,f14(f14(a26,x5231),f14(f14(f16(a2),x5232),f18(a2)))),f14(f14(a26,x5233),x5232)),x5234),f14(f14(a26,f14(f14(f14(a27,x5231),x5233),x5234)),x5232))
% 0.18/0.79 [531]P30(f14(f14(f14(a36,x5311),f21(x5312)),f14(f14(a39,x5313),x5314)))+~P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5311),f19(a2)),x5313)),x5312),x5314))
% 0.18/0.79 [503]~P23(x5031)+E(f14(f14(f16(x5031),f14(f14(f16(x5031),x5032),x5033)),f14(f14(f16(x5031),x5034),x5035)),f14(f14(f16(x5031),f14(f14(f16(x5031),x5032),x5034)),f14(f14(f16(x5031),x5033),x5035)))
% 0.18/0.79 [521]~P7(x5211,x5214,x5215)+P7(f14(f14(f14(f37(a51),x5211),x5212),x5213),f32(f14(f14(f7(a52,a2,a52),a26),x5212),x5214,a52,a52),x5215)
% 0.18/0.79 [527]~P30(f14(f14(f14(a36,x5271),x5274),x5275))+P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5271),x5272),x5273)),f14(f14(a26,x5274),x5272)),x5275))
% 0.18/0.79 [458]~P6(x4585,x4583,a2)+E(f14(f14(f14(f14(f37(x4581),x4582),x4583),x4584),x4585),f14(x4582,x4585))
% 0.18/0.79 [485]~P6(x4853,x4855,a2)+E(f14(f14(f14(f14(f37(x4851),x4852),x4853),x4854),x4855),f14(x4852,f17(x4855,f18(a2),a2)))
% 0.18/0.79 [547]~P6(x5473,f14(f14(f16(a2),x5474),f18(a2)),a2)+E(f14(f14(f14(a27,f14(f14(f14(a27,x5471),f14(f14(a26,x5472),x5473)),f14(f14(f16(a2),x5474),f18(a2)))),f14(f14(f14(a27,x5475),x5472),x5474)),x5473),f14(f14(f14(a27,f14(f14(f14(a27,x5471),x5475),x5473)),x5472),x5474))
% 0.18/0.79 [544]~E(f10(x5441,x5442,x5445,x5446,x5447),f10(f5(x5446),x5444,x5446,x5446,x5447))+E(f14(x5441,f14(x5442,x5443)),f14(x5444,x5443))
% 0.18/0.79 [545]~E(f10(x5451,x5452,x5456,x5457,x5458),f10(x5454,x5455,x5459,x5457,x5458))+E(f14(x5451,f14(x5452,x5453)),f14(x5454,f14(x5455,x5453)))
% 0.18/0.79 [550]~E(f14(x5501,f14(x5502,x5506)),f14(x5507,f14(x5508,x55011)))+E(f14(f10(x5501,x5502,x5503,x5504,x5505),x5506),f14(f10(x5507,x5508,x5509,x5504,x55010),x55011))
% 0.18/0.79 [350]E(x3501,x3502)+P6(x3502,x3501,a2)+P6(x3501,x3502,a2)
% 0.18/0.79 [331]~P27(x3312)+~P10(x3312)+E(f17(x3311,x3311,x3312),f19(x3312))
% 0.18/0.79 [381]E(x3811,x3812)+~E(f17(x3812,x3811,a2),f19(a2))+~E(f17(x3811,x3812,a2),f19(a2))
% 0.18/0.79 [389]~P20(x3891)+P6(f19(x3891),f34(x3892,x3891),x3891)+~P6(f19(a2),x3892,a2)
% 0.18/0.79 [393]~P20(x3932)+~P6(f19(x3932),f34(x3931,x3932),x3932)+P6(f19(a2),x3931,a2)
% 0.18/0.79 [457]P6(f17(x4571,x4572,a2),x4571,a2)+~P6(f19(a2),x4572,a2)+~P6(f19(a2),x4571,a2)
% 0.18/0.79 [332]~P27(x3321)+~P10(x3321)+E(f14(f14(f16(x3321),x3322),f19(x3321)),x3322)
% 0.18/0.79 [432]~P6(x4321,x4322,a2)+P6(f14(f14(f16(a2),x4321),f18(a2)),x4322,a2)+E(f14(f14(f16(a2),x4321),f18(a2)),x4322)
% 0.18/0.79 [434]E(x4341,x4342)+P6(x4342,x4341,a2)+~P6(x4342,f14(f14(f16(a2),x4341),f18(a2)),a2)
% 0.18/0.79 [436]E(x4361,x4362)+P6(x4361,x4362,a2)+~P6(x4361,f14(f14(f16(a2),x4362),f18(a2)),a2)
% 0.18/0.79 [344]~P16(x3442)+E(x3441,f19(x3442))+~E(f14(f14(f16(x3442),x3441),x3441),f19(x3442))
% 0.18/0.79 [374]E(x3741,f19(a2))+E(x3742,f19(a2))+~E(f14(f14(f16(a2),x3742),x3741),f14(f14(f16(a2),f19(a2)),f18(a2)))
% 0.18/0.79 [375]E(x3751,f19(a2))+E(x3752,f19(a2))+~E(f14(f14(f16(a2),f19(a2)),f18(a2)),f14(f14(f16(a2),x3752),x3751))
% 0.18/0.79 [402]E(x4021,f19(a2))+E(x4021,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),x4022),x4021),f14(f14(f16(a2),f19(a2)),f18(a2)))
% 0.18/0.79 [403]E(x4031,f19(a2))+E(x4031,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),x4031),x4032),f14(f14(f16(a2),f19(a2)),f18(a2)))
% 0.18/0.79 [404]E(x4041,f19(a2))+E(x4041,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),f19(a2)),f18(a2)),f14(f14(f16(a2),x4042),x4041))
% 0.18/0.79 [405]E(x4051,f19(a2))+E(x4051,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),f19(a2)),f18(a2)),f14(f14(f16(a2),x4051),x4052))
% 0.18/0.79 [424]~P16(x4241)+~P6(f19(x4241),x4242,x4241)+P6(f19(x4241),f14(f14(f16(x4241),x4242),x4242),x4241)
% 0.18/0.79 [425]~P16(x4251)+~P6(x4252,f19(x4251),x4251)+P6(f14(f14(f16(x4251),x4252),x4252),f19(x4251),x4251)
% 0.18/0.79 [426]~P28(x4261)+~P6(x4262,f19(x4261),x4261)+P6(f14(f14(f16(x4261),x4262),x4262),f19(x4261),x4261)
% 0.18/0.79 [427]E(x4271,f14(f14(f16(a2),f19(a2)),f18(a2)))+E(x4272,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),x4272),x4271),f14(f14(f16(a2),f19(a2)),f18(a2)))
% 0.18/0.79 [428]E(x4281,f14(f14(f16(a2),f19(a2)),f18(a2)))+E(x4282,f14(f14(f16(a2),f19(a2)),f18(a2)))+~E(f14(f14(f16(a2),f19(a2)),f18(a2)),f14(f14(f16(a2),x4282),x4281))
% 0.18/0.79 [450]~P16(x4502)+P6(x4501,f19(x4502),x4502)+~P6(f14(f14(f16(x4502),x4501),x4501),f19(x4502),x4502)
% 0.18/0.79 [451]~P28(x4512)+P6(x4511,f19(x4512),x4512)+~P6(f14(f14(f16(x4512),x4511),x4511),f19(x4512),x4512)
% 0.18/0.79 [452]~P16(x4521)+P6(f19(x4521),x4522,x4521)+~P6(f19(x4521),f14(f14(f16(x4521),x4522),x4522),x4521)
% 0.18/0.79 [459]P6(f19(a2),x4591,a2)+P6(f19(a2),x4592,a2)+~P6(f19(a2),f14(f14(f16(a2),x4591),x4592),a2)
% 0.18/0.79 [382]~P6(x3823,x3822,x3821)+~P24(x3821)+~P6(x3822,x3823,x3821)
% 0.18/0.79 [384]~P6(x3843,x3842,x3841)+~P26(x3841)+~P6(x3842,x3843,x3841)
% 0.18/0.79 [385]~P6(x3853,x3852,x3851)+~P25(x3851)+~P6(x3852,x3853,x3851)
% 0.18/0.79 [318]~P4(x3183)+E(x3181,x3182)+~E(f34(x3181,x3183),f34(x3182,x3183))
% 0.18/0.79 [345]~P15(x3453)+E(x3451,x3452)+~E(f17(x3451,x3452,x3453),f19(x3453))
% 0.18/0.79 [346]~P11(x3463)+E(x3461,x3462)+~E(f17(x3461,x3462,x3463),f19(x3463))
% 0.18/0.79 [391]~P20(x3912)+~P6(x3911,x3913,a2)+P6(f34(x3911,x3912),f34(x3913,x3912),x3912)
% 0.18/0.79 [410]~P20(x4103)+~P6(f34(x4101,x4103),f34(x4102,x4103),x4103)+P6(x4101,x4102,a2)
% 0.18/0.79 [423]~P19(x4233)+~P6(x4231,x4232,x4233)+P6(f17(x4231,x4232,x4233),f19(x4233),x4233)
% 0.18/0.79 [453]~P19(x4533)+P6(x4531,x4532,x4533)+~P6(f17(x4531,x4532,x4533),f19(x4533),x4533)
% 0.18/0.79 [480]~P6(x4803,x4802,a2)+~P6(x4803,x4801,a2)+P6(f17(x4801,x4802,a2),f17(x4801,x4803,a2),a2)
% 0.18/0.79 [446]~P6(x4461,x4463,a2)+~P6(x4463,x4462,a2)+P6(f14(f14(f16(a2),x4461),f18(a2)),x4462,a2)
% 0.18/0.79 [490]~P6(x4902,x4903,a2)+~P30(f14(x4901,f17(x4902,x4903,a2)))+P30(f14(x4901,f19(a2)))
% 0.18/0.79 [376]E(x3761,x3762)+P6(x3762,x3761,a2)+E(f14(f14(f14(a27,f20(x3761)),x3763),x3762),f20(x3761))
% 0.18/0.79 [553]~P30(f14(a15,x5532))+~P30(f14(a15,f30(a23,f14(f14(f14(a27,x5531),x5532),f19(a2)),x5533,a52,a52)))+P30(f14(a15,f30(a23,f14(f14(a23,f21(x5531)),x5532),x5533,a52,a52)))
% 0.18/0.79 [386]~P11(x3864)+E(x3861,x3862)+~E(f17(x3863,x3863,x3864),f17(x3861,x3862,x3864))
% 0.18/0.79 [387]~P11(x3873)+E(x3871,x3872)+~E(f17(x3871,x3872,x3873),f17(x3874,x3874,x3873))
% 0.18/0.79 [377]~P13(x3773)+E(x3771,x3772)+~E(f14(f14(f16(x3773),x3774),x3771),f14(f14(f16(x3773),x3774),x3772))
% 0.18/0.79 [378]~P14(x3783)+E(x3781,x3782)+~E(f14(f14(f16(x3783),x3784),x3781),f14(f14(f16(x3783),x3784),x3782))
% 0.18/0.79 [379]~P14(x3793)+E(x3791,x3792)+~E(f14(f14(f16(x3793),x3791),x3794),f14(f14(f16(x3793),x3792),x3794))
% 0.18/0.79 [431]~P6(x4314,x4313,a2)+P6(x4311,x4312,a2)+~E(f14(f14(f16(a2),x4311),x4313),f14(f14(f16(a2),x4314),x4312))
% 0.18/0.79 [461]~P17(x4611)+~P6(x4612,x4614,x4611)+P6(f14(f14(f16(x4611),x4612),x4613),f14(f14(f16(x4611),x4614),x4613),x4611)
% 0.18/0.79 [462]~P18(x4621)+~P6(x4622,x4624,x4621)+P6(f14(f14(f16(x4621),x4622),x4623),f14(f14(f16(x4621),x4624),x4623),x4621)
% 0.18/0.79 [463]~P17(x4631)+~P6(x4633,x4634,x4631)+P6(f14(f14(f16(x4631),x4632),x4633),f14(f14(f16(x4631),x4632),x4634),x4631)
% 0.18/0.79 [464]~P18(x4641)+~P6(x4643,x4644,x4641)+P6(f14(f14(f16(x4641),x4642),x4643),f14(f14(f16(x4641),x4642),x4644),x4641)
% 0.18/0.79 [473]~P6(x4732,x4734,a2)+~P6(x4731,x4733,a2)+P6(f14(f14(f16(a2),x4731),x4732),f14(f14(f16(a2),x4733),x4734),a2)
% 0.18/0.79 [488]~P18(x4883)+P6(x4881,x4882,x4883)+~P6(f14(f14(f16(x4883),x4884),x4881),f14(f14(f16(x4883),x4884),x4882),x4883)
% 0.18/0.79 [489]~P18(x4893)+P6(x4891,x4892,x4893)+~P6(f14(f14(f16(x4893),x4891),x4894),f14(f14(f16(x4893),x4892),x4894),x4893)
% 0.18/0.79 [493]~P30(f14(f14(a22,x4934),x4932))+~P30(f14(f14(f14(a36,x4931),x4934),x4933))+P30(f14(f14(f14(a36,x4931),x4932),x4933))
% 0.18/0.79 [502]~P30(f14(f14(f24(a22,a52),x5024),x5022))+~P30(f14(f14(f14(a36,x5021),x5024),x5023))+P30(f14(f14(f14(a36,x5021),x5022),x5023))
% 0.18/0.79 [512]~P30(f14(f14(f24(a22,a52),x5121),x5123))+~P30(f14(f14(f24(a22,a52),x5122),x5124))+P30(f14(f14(f24(a22,a52),f14(f14(a23,x5121),x5122)),f14(f14(a23,x5123),x5124)))
% 0.18/0.79 [494]~P30(f14(f14(x4941,x4945),x4944))+~P30(f14(f14(f24(x4941,x4942),x4943),x4945))+P30(f14(f14(f24(x4941,x4942),x4943),x4944))
% 0.18/0.79 [495]~P30(f14(f14(x4951,x4953),x4955))+~P30(f14(f14(f24(x4951,x4952),x4955),x4954))+P30(f14(f14(f24(x4951,x4952),x4953),x4954))
% 0.18/0.79 [504]~P30(f14(f14(f24(x5041,x5042),x5043),x5045))+P30(f14(f14(f24(x5041,x5042),x5043),x5044))+~P30(f14(f14(f24(x5041,x5042),x5045),x5044))
% 0.18/0.79 [562]~P7(x5621,x5623,x5625)+~P30(f14(f14(f14(a36,x5621),x5622),f29(a39,x5625,x5624,a51,a51)))+P30(f14(f14(f14(a36,x5621),f30(a23,x5622,x5623,a52,a52)),x5624))
% 0.18/0.79 [470]~P11(x4701)+E(f14(f14(f16(x4701),x4702),x4703),x4704)+~E(f14(f14(f16(x4701),x4702),f14(f14(f16(x4701),x4705),x4703)),f14(f14(f16(x4701),x4705),x4704))
% 0.18/0.79 [516]~P30(f14(f14(f14(a36,x5161),x5163),x5165))+~P30(f14(f14(f14(a36,x5161),x5162),f14(f14(a39,x5165),x5164)))+P30(f14(f14(f14(a36,x5161),f14(f14(a23,x5162),x5163)),x5164))
% 0.18/0.79 [566]E(x5661,x5662)+~P30(f14(f14(f14(a36,x5663),f30(a23,f20(x5664),x5665,a52,a52)),x5661))+~P30(f14(f14(f14(a36,x5663),f30(a23,f20(x5664),x5665,a52,a52)),x5662))
% 0.18/0.79 [546]~P30(f14(f14(f14(a36,x5461),x5463),x5466))+P30(f14(f14(f14(a36,x5461),f14(f14(f14(a27,x5462),x5463),x5464)),x5465))+~P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5461),x5464),x5466)),x5462),x5465))
% 0.18/0.79 [552]~P7(f14(f14(f14(f37(a51),x5521),x5523),x5526),x5524,x5525)+P7(x5521,f32(f14(f14(f7(a52,a2,a52),f14(f14(f7(a52,a52,f53(a2,a52)),a27),x5522)),x5523),x5524,a52,a52),x5525)+~P30(f14(f14(f14(a36,x5521),x5522),x5526))
% 0.18/0.79 [359]P6(x3591,x3592,x3593)+~P28(x3593)+E(x3591,x3592)+P6(x3592,x3591,x3593)
% 0.18/0.79 [363]P6(x3631,x3632,x3633)+~P25(x3633)+E(x3631,x3632)+P6(x3632,x3631,x3633)
% 0.18/0.79 [348]~P27(x3483)+~P10(x3483)+E(x3481,x3482)+~E(f17(x3481,x3482,x3483),f19(x3483))
% 0.18/0.79 [347]~P27(x3472)+~P10(x3472)+E(x3471,f19(x3472))+~E(f14(f14(f16(x3472),x3473),x3471),x3473)
% 0.18/0.79 [467]~P21(x4671)+~P6(f19(x4671),x4673,x4671)+~P6(f19(x4671),x4672,x4671)+P6(f19(x4671),f14(f14(f16(x4671),x4672),x4673),x4671)
% 0.18/0.79 [468]~P21(x4681)+~P6(x4683,f19(x4681),x4681)+~P6(x4682,f19(x4681),x4681)+P6(f14(f14(f16(x4681),x4682),x4683),f19(x4681),x4681)
% 0.18/0.79 [413]~P24(x4133)+~P6(x4131,x4134,x4133)+P6(x4131,x4132,x4133)+~P6(x4134,x4132,x4133)
% 0.18/0.79 [414]~P26(x4143)+~P6(x4141,x4144,x4143)+P6(x4141,x4142,x4143)+~P6(x4144,x4142,x4143)
% 0.18/0.79 [388]~P27(x3883)+~P10(x3883)+E(x3881,x3882)+~E(f14(f14(f16(x3883),x3884),x3881),f14(f14(f16(x3883),x3884),x3882))
% 0.18/0.79 [460]~P20(x4602)+~P6(x4601,x4604,x4602)+~P6(f19(x4602),x4603,x4602)+P6(x4601,f14(f14(f16(x4602),x4603),x4604),x4602)
% 0.18/0.79 [533]~P30(f14(a15,x5331))+~P30(f14(f14(f14(a36,x5333),x5331),a55))+P30(f14(a15,f14(f14(f14(a27,a63),x5331),x5332)))+~P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5333),x5332),a55)),a63),x5334))
% 0.18/0.79 [448]~P19(x4483)+~P6(x4484,x4485,x4483)+P6(x4481,x4482,x4483)+~E(f17(x4484,x4485,x4483),f17(x4481,x4482,x4483))
% 0.18/0.79 [449]~P19(x4493)+~P6(x4494,x4495,x4493)+P6(x4491,x4492,x4493)+~E(f17(x4491,x4492,x4493),f17(x4494,x4495,x4493))
% 0.18/0.79 [482]~P17(x4821)+~P6(x4823,x4825,x4821)+~P6(x4822,x4824,x4821)+P6(f14(f14(f16(x4821),x4822),x4823),f14(f14(f16(x4821),x4824),x4825),x4821)
% 0.18/0.79 [567]~P7(x5671,x5675,x5676)+P7(x5671,x5672,f48(x5673,x5674,x5671,x5672))+~P30(f14(f14(f14(a36,x5671),f30(a23,f20(x5677),x5675,a52,a52)),x5674))+~P30(f14(f14(f14(a36,x5671),f30(a23,f30(a23,f20(x5677),x5675,a52,a52),x5672,a52,a52)),x5673))
% 0.18/0.79 [568]~P7(x5683,x5685,x5686)+E(f29(a39,f48(x5681,x5682,x5683,x5684),x5681,a51,a51),x5682)+~P30(f14(f14(f14(a36,x5683),f30(a23,f20(x5687),x5685,a52,a52)),x5682))+~P30(f14(f14(f14(a36,x5683),f30(a23,f30(a23,f20(x5687),x5685,a52,a52),x5684,a52,a52)),x5681))
% 0.18/0.79 [534]~P30(f14(a15,x5342))+~P30(f14(a15,x5341))+~E(f14(f14(a39,x5344),x5345),a55)+~P30(f14(f14(f14(a36,x5346),x5342),x5345))+P30(f14(a15,f14(f14(f14(a27,x5341),x5342),x5343)))+~P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5346),x5343),x5345)),x5341),x5347))
% 0.18/0.79 [535]~P30(f14(a15,x5352))+~P30(f14(a15,x5351))+~E(f14(f14(a39,x5354),x5355),a55)+~P30(f14(f14(f14(a36,x5356),x5352),x5354))+P30(f14(a15,f14(f14(f14(a27,x5351),x5352),x5353)))+~P30(f14(f14(f14(a36,f14(f14(f14(f37(a51),x5356),x5353),x5354)),x5351),x5357))
% 0.18/0.79 %EqnAxiom
% 0.18/0.79 [1]E(x11,x11)
% 0.18/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.79 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.18/0.79 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53))
% 0.18/0.79 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62))
% 0.18/0.79 [7]~E(x71,x72)+E(f30(x71,x73,x74,x75,x76),f30(x72,x73,x74,x75,x76))
% 0.18/0.79 [8]~E(x81,x82)+E(f30(x83,x81,x84,x85,x86),f30(x83,x82,x84,x85,x86))
% 0.18/0.79 [9]~E(x91,x92)+E(f30(x93,x94,x91,x95,x96),f30(x93,x94,x92,x95,x96))
% 0.18/0.79 [10]~E(x101,x102)+E(f30(x103,x104,x105,x101,x106),f30(x103,x104,x105,x102,x106))
% 0.18/0.79 [11]~E(x111,x112)+E(f30(x113,x114,x115,x116,x111),f30(x113,x114,x115,x116,x112))
% 0.18/0.79 [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.18/0.79 [13]~E(x131,x132)+E(f29(x131,x133,x134,x135,x136),f29(x132,x133,x134,x135,x136))
% 0.18/0.79 [14]~E(x141,x142)+E(f29(x143,x141,x144,x145,x146),f29(x143,x142,x144,x145,x146))
% 0.18/0.79 [15]~E(x151,x152)+E(f29(x153,x154,x151,x155,x156),f29(x153,x154,x152,x155,x156))
% 0.18/0.79 [16]~E(x161,x162)+E(f29(x163,x164,x165,x161,x166),f29(x163,x164,x165,x162,x166))
% 0.18/0.79 [17]~E(x171,x172)+E(f29(x173,x174,x175,x176,x171),f29(x173,x174,x175,x176,x172))
% 0.18/0.79 [18]~E(x181,x182)+E(f48(x181,x183,x184,x185),f48(x182,x183,x184,x185))
% 0.18/0.79 [19]~E(x191,x192)+E(f48(x193,x191,x194,x195),f48(x193,x192,x194,x195))
% 0.18/0.79 [20]~E(x201,x202)+E(f48(x203,x204,x201,x205),f48(x203,x204,x202,x205))
% 0.18/0.79 [21]~E(x211,x212)+E(f48(x213,x214,x215,x211),f48(x213,x214,x215,x212))
% 0.18/0.79 [22]~E(x221,x222)+E(f34(x221,x223),f34(x222,x223))
% 0.18/0.79 [23]~E(x231,x232)+E(f34(x233,x231),f34(x233,x232))
% 0.18/0.79 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 0.18/0.79 [25]~E(x251,x252)+E(f16(x251),f16(x252))
% 0.18/0.79 [26]~E(x261,x262)+E(f53(x261,x263),f53(x262,x263))
% 0.18/0.79 [27]~E(x271,x272)+E(f53(x273,x271),f53(x273,x272))
% 0.18/0.79 [28]~E(x281,x282)+E(f21(x281),f21(x282))
% 0.18/0.79 [29]~E(x291,x292)+E(f18(x291),f18(x292))
% 0.18/0.79 [30]~E(x301,x302)+E(f25(x301,x303,x304),f25(x302,x303,x304))
% 0.18/0.79 [31]~E(x311,x312)+E(f25(x313,x311,x314),f25(x313,x312,x314))
% 0.18/0.79 [32]~E(x321,x322)+E(f25(x323,x324,x321),f25(x323,x324,x322))
% 0.18/0.79 [33]~E(x331,x332)+E(f8(x331,x333,x334),f8(x332,x333,x334))
% 0.18/0.79 [34]~E(x341,x342)+E(f8(x343,x341,x344),f8(x343,x342,x344))
% 0.18/0.79 [35]~E(x351,x352)+E(f8(x353,x354,x351),f8(x353,x354,x352))
% 0.18/0.79 [36]~E(x361,x362)+E(f13(x361,x363,x364,x365,x366),f13(x362,x363,x364,x365,x366))
% 0.18/0.79 [37]~E(x371,x372)+E(f13(x373,x371,x374,x375,x376),f13(x373,x372,x374,x375,x376))
% 0.18/0.79 [38]~E(x381,x382)+E(f13(x383,x384,x381,x385,x386),f13(x383,x384,x382,x385,x386))
% 0.18/0.79 [39]~E(x391,x392)+E(f13(x393,x394,x395,x391,x396),f13(x393,x394,x395,x392,x396))
% 0.18/0.79 [40]~E(x401,x402)+E(f13(x403,x404,x405,x406,x401),f13(x403,x404,x405,x406,x402))
% 0.18/0.79 [41]~E(x411,x412)+E(f11(x411,x413,x414),f11(x412,x413,x414))
% 0.18/0.79 [42]~E(x421,x422)+E(f11(x423,x421,x424),f11(x423,x422,x424))
% 0.18/0.79 [43]~E(x431,x432)+E(f11(x433,x434,x431),f11(x433,x434,x432))
% 0.18/0.79 [44]~E(x441,x442)+E(f28(x441,x443,x444,x445),f28(x442,x443,x444,x445))
% 0.18/0.79 [45]~E(x451,x452)+E(f28(x453,x451,x454,x455),f28(x453,x452,x454,x455))
% 0.18/0.79 [46]~E(x461,x462)+E(f28(x463,x464,x461,x465),f28(x463,x464,x462,x465))
% 0.18/0.79 [47]~E(x471,x472)+E(f28(x473,x474,x475,x471),f28(x473,x474,x475,x472))
% 0.18/0.79 [48]~E(x481,x482)+E(f37(x481),f37(x482))
% 0.18/0.79 [49]~E(x491,x492)+E(f10(x491,x493,x494,x495,x496),f10(x492,x493,x494,x495,x496))
% 0.18/0.79 [50]~E(x501,x502)+E(f10(x503,x501,x504,x505,x506),f10(x503,x502,x504,x505,x506))
% 0.18/0.79 [51]~E(x511,x512)+E(f10(x513,x514,x511,x515,x516),f10(x513,x514,x512,x515,x516))
% 0.18/0.79 [52]~E(x521,x522)+E(f10(x523,x524,x525,x521,x526),f10(x523,x524,x525,x522,x526))
% 0.18/0.79 [53]~E(x531,x532)+E(f10(x533,x534,x535,x536,x531),f10(x533,x534,x535,x536,x532))
% 0.18/0.79 [54]~E(x541,x542)+E(f7(x541,x543,x544),f7(x542,x543,x544))
% 0.18/0.79 [55]~E(x551,x552)+E(f7(x553,x551,x554),f7(x553,x552,x554))
% 0.18/0.80 [56]~E(x561,x562)+E(f7(x563,x564,x561),f7(x563,x564,x562))
% 0.18/0.80 [57]~E(x571,x572)+E(f9(x571),f9(x572))
% 0.18/0.80 [58]~E(x581,x582)+E(f24(x581,x583),f24(x582,x583))
% 0.18/0.80 [59]~E(x591,x592)+E(f24(x593,x591),f24(x593,x592))
% 0.18/0.80 [60]~E(x601,x602)+E(f17(x601,x603,x604),f17(x602,x603,x604))
% 0.18/0.80 [61]~E(x611,x612)+E(f17(x613,x611,x614),f17(x613,x612,x614))
% 0.18/0.80 [62]~E(x621,x622)+E(f17(x623,x624,x621),f17(x623,x624,x622))
% 0.18/0.80 [63]~E(x631,x632)+E(f71(x631,x633,x634,x635),f71(x632,x633,x634,x635))
% 0.18/0.80 [64]~E(x641,x642)+E(f71(x643,x641,x644,x645),f71(x643,x642,x644,x645))
% 0.18/0.80 [65]~E(x651,x652)+E(f71(x653,x654,x651,x655),f71(x653,x654,x652,x655))
% 0.18/0.80 [66]~E(x661,x662)+E(f71(x663,x664,x665,x661),f71(x663,x664,x665,x662))
% 0.18/0.80 [67]~E(x671,x672)+E(f42(x671,x673),f42(x672,x673))
% 0.18/0.80 [68]~E(x681,x682)+E(f42(x683,x681),f42(x683,x682))
% 0.18/0.80 [69]~E(x691,x692)+E(f32(x691,x693,x694,x695),f32(x692,x693,x694,x695))
% 0.18/0.80 [70]~E(x701,x702)+E(f32(x703,x701,x704,x705),f32(x703,x702,x704,x705))
% 0.18/0.80 [71]~E(x711,x712)+E(f32(x713,x714,x711,x715),f32(x713,x714,x712,x715))
% 0.18/0.80 [72]~E(x721,x722)+E(f32(x723,x724,x725,x721),f32(x723,x724,x725,x722))
% 0.18/0.80 [73]~E(x731,x732)+E(f38(x731),f38(x732))
% 0.18/0.80 [74]~E(x741,x742)+E(f46(x741,x743,x744),f46(x742,x743,x744))
% 0.18/0.80 [75]~E(x751,x752)+E(f46(x753,x751,x754),f46(x753,x752,x754))
% 0.18/0.80 [76]~E(x761,x762)+E(f46(x763,x764,x761),f46(x763,x764,x762))
% 0.18/0.80 [77]~E(x771,x772)+E(f41(x771,x773,x774,x775),f41(x772,x773,x774,x775))
% 0.18/0.80 [78]~E(x781,x782)+E(f41(x783,x781,x784,x785),f41(x783,x782,x784,x785))
% 0.18/0.80 [79]~E(x791,x792)+E(f41(x793,x794,x791,x795),f41(x793,x794,x792,x795))
% 0.18/0.80 [80]~E(x801,x802)+E(f41(x803,x804,x805,x801),f41(x803,x804,x805,x802))
% 0.18/0.80 [81]~E(x811,x812)+E(f70(x811,x813,x814,x815),f70(x812,x813,x814,x815))
% 0.18/0.80 [82]~E(x821,x822)+E(f70(x823,x821,x824,x825),f70(x823,x822,x824,x825))
% 0.18/0.80 [83]~E(x831,x832)+E(f70(x833,x834,x831,x835),f70(x833,x834,x832,x835))
% 0.18/0.80 [84]~E(x841,x842)+E(f70(x843,x844,x845,x841),f70(x843,x844,x845,x842))
% 0.18/0.80 [85]~E(x851,x852)+E(f40(x851,x853,x854),f40(x852,x853,x854))
% 0.18/0.80 [86]~E(x861,x862)+E(f40(x863,x861,x864),f40(x863,x862,x864))
% 0.18/0.80 [87]~E(x871,x872)+E(f40(x873,x874,x871),f40(x873,x874,x872))
% 0.18/0.80 [88]~E(x881,x882)+E(f33(x881,x883),f33(x882,x883))
% 0.18/0.80 [89]~E(x891,x892)+E(f33(x893,x891),f33(x893,x892))
% 0.18/0.80 [90]~E(x901,x902)+E(f35(x901,x903,x904,x905),f35(x902,x903,x904,x905))
% 0.18/0.80 [91]~E(x911,x912)+E(f35(x913,x911,x914,x915),f35(x913,x912,x914,x915))
% 0.18/0.80 [92]~E(x921,x922)+E(f35(x923,x924,x921,x925),f35(x923,x924,x922,x925))
% 0.18/0.80 [93]~E(x931,x932)+E(f35(x933,x934,x935,x931),f35(x933,x934,x935,x932))
% 0.18/0.80 [94]~E(x941,x942)+E(f69(x941,x943,x944,x945),f69(x942,x943,x944,x945))
% 0.18/0.80 [95]~E(x951,x952)+E(f69(x953,x951,x954,x955),f69(x953,x952,x954,x955))
% 0.18/0.80 [96]~E(x961,x962)+E(f69(x963,x964,x961,x965),f69(x963,x964,x962,x965))
% 0.18/0.80 [97]~E(x971,x972)+E(f69(x973,x974,x975,x971),f69(x973,x974,x975,x972))
% 0.18/0.80 [98]~E(x981,x982)+E(f12(x981),f12(x982))
% 0.18/0.80 [99]~E(x991,x992)+E(f31(x991,x993,x994),f31(x992,x993,x994))
% 0.18/0.80 [100]~E(x1001,x1002)+E(f31(x1003,x1001,x1004),f31(x1003,x1002,x1004))
% 0.18/0.80 [101]~E(x1011,x1012)+E(f31(x1013,x1014,x1011),f31(x1013,x1014,x1012))
% 0.18/0.80 [102]~E(x1021,x1022)+E(f6(x1021,x1023,x1024),f6(x1022,x1023,x1024))
% 0.18/0.80 [103]~E(x1031,x1032)+E(f6(x1033,x1031,x1034),f6(x1033,x1032,x1034))
% 0.18/0.80 [104]~E(x1041,x1042)+E(f6(x1043,x1044,x1041),f6(x1043,x1044,x1042))
% 0.18/0.80 [105]~E(x1051,x1052)+E(f45(x1051,x1053,x1054,x1055),f45(x1052,x1053,x1054,x1055))
% 0.18/0.80 [106]~E(x1061,x1062)+E(f45(x1063,x1061,x1064,x1065),f45(x1063,x1062,x1064,x1065))
% 0.18/0.80 [107]~E(x1071,x1072)+E(f45(x1073,x1074,x1071,x1075),f45(x1073,x1074,x1072,x1075))
% 0.18/0.80 [108]~E(x1081,x1082)+E(f45(x1083,x1084,x1085,x1081),f45(x1083,x1084,x1085,x1082))
% 0.18/0.80 [109]~E(x1091,x1092)+E(f44(x1091,x1093,x1094,x1095),f44(x1092,x1093,x1094,x1095))
% 0.18/0.80 [110]~E(x1101,x1102)+E(f44(x1103,x1101,x1104,x1105),f44(x1103,x1102,x1104,x1105))
% 0.18/0.80 [111]~E(x1111,x1112)+E(f44(x1113,x1114,x1111,x1115),f44(x1113,x1114,x1112,x1115))
% 0.18/0.80 [112]~E(x1121,x1122)+E(f44(x1123,x1124,x1125,x1121),f44(x1123,x1124,x1125,x1122))
% 0.18/0.80 [113]~E(x1131,x1132)+E(f43(x1131,x1133),f43(x1132,x1133))
% 0.18/0.80 [114]~E(x1141,x1142)+E(f43(x1143,x1141),f43(x1143,x1142))
% 0.18/0.80 [115]~E(x1151,x1152)+E(f47(x1151,x1153,x1154,x1155),f47(x1152,x1153,x1154,x1155))
% 0.18/0.80 [116]~E(x1161,x1162)+E(f47(x1163,x1161,x1164,x1165),f47(x1163,x1162,x1164,x1165))
% 0.18/0.80 [117]~E(x1171,x1172)+E(f47(x1173,x1174,x1171,x1175),f47(x1173,x1174,x1172,x1175))
% 0.18/0.80 [118]~E(x1181,x1182)+E(f47(x1183,x1184,x1185,x1181),f47(x1183,x1184,x1185,x1182))
% 0.18/0.80 [119]~P1(x1191)+P1(x1192)+~E(x1191,x1192)
% 0.18/0.80 [120]~P2(x1201)+P2(x1202)+~E(x1201,x1202)
% 0.18/0.80 [121]~P29(x1211)+P29(x1212)+~E(x1211,x1212)
% 0.18/0.80 [122]~P17(x1221)+P17(x1222)+~E(x1221,x1222)
% 0.18/0.80 [123]~P20(x1231)+P20(x1232)+~E(x1231,x1232)
% 0.18/0.80 [124]~P18(x1241)+P18(x1242)+~E(x1241,x1242)
% 0.18/0.80 [125]~P21(x1251)+P21(x1252)+~E(x1251,x1252)
% 0.18/0.80 [126]~P3(x1261)+P3(x1262)+~E(x1261,x1262)
% 0.18/0.80 [127]~P4(x1271)+P4(x1272)+~E(x1271,x1272)
% 0.18/0.80 [128]~P22(x1281)+P22(x1282)+~E(x1281,x1282)
% 0.18/0.80 [129]~P23(x1291)+P23(x1292)+~E(x1291,x1292)
% 0.18/0.80 [130]~P12(x1301)+P12(x1302)+~E(x1301,x1302)
% 0.18/0.80 [131]~P13(x1311)+P13(x1312)+~E(x1311,x1312)
% 0.18/0.80 [132]~P14(x1321)+P14(x1322)+~E(x1321,x1322)
% 0.18/0.80 [133]~P24(x1331)+P24(x1332)+~E(x1331,x1332)
% 0.18/0.80 [134]~P30(x1341)+P30(x1342)+~E(x1341,x1342)
% 0.18/0.80 [135]~P26(x1351)+P26(x1352)+~E(x1351,x1352)
% 0.18/0.80 [136]P6(x1362,x1363,x1364)+~E(x1361,x1362)+~P6(x1361,x1363,x1364)
% 0.18/0.80 [137]P6(x1373,x1372,x1374)+~E(x1371,x1372)+~P6(x1373,x1371,x1374)
% 0.18/0.80 [138]P6(x1383,x1384,x1382)+~E(x1381,x1382)+~P6(x1383,x1384,x1381)
% 0.18/0.80 [139]~P25(x1391)+P25(x1392)+~E(x1391,x1392)
% 0.18/0.80 [140]~P19(x1401)+P19(x1402)+~E(x1401,x1402)
% 0.18/0.80 [141]P7(x1412,x1413,x1414)+~E(x1411,x1412)+~P7(x1411,x1413,x1414)
% 0.18/0.80 [142]P7(x1423,x1422,x1424)+~E(x1421,x1422)+~P7(x1423,x1421,x1424)
% 0.18/0.80 [143]P7(x1433,x1434,x1432)+~E(x1431,x1432)+~P7(x1433,x1434,x1431)
% 0.18/0.80 [144]~P10(x1441)+P10(x1442)+~E(x1441,x1442)
% 0.18/0.80 [145]P8(x1452,x1453,x1454)+~E(x1451,x1452)+~P8(x1451,x1453,x1454)
% 0.18/0.80 [146]P8(x1463,x1462,x1464)+~E(x1461,x1462)+~P8(x1463,x1461,x1464)
% 0.18/0.80 [147]P8(x1473,x1474,x1472)+~E(x1471,x1472)+~P8(x1473,x1474,x1471)
% 0.18/0.80 [148]P5(x1482,x1483,x1484)+~E(x1481,x1482)+~P5(x1481,x1483,x1484)
% 0.18/0.80 [149]P5(x1493,x1492,x1494)+~E(x1491,x1492)+~P5(x1493,x1491,x1494)
% 0.18/0.80 [150]P5(x1503,x1504,x1502)+~E(x1501,x1502)+~P5(x1503,x1504,x1501)
% 0.18/0.80 [151]~P16(x1511)+P16(x1512)+~E(x1511,x1512)
% 0.18/0.80 [152]~P28(x1521)+P28(x1522)+~E(x1521,x1522)
% 0.18/0.80 [153]~P11(x1531)+P11(x1532)+~E(x1531,x1532)
% 0.18/0.80 [154]~P27(x1541)+P27(x1542)+~E(x1541,x1542)
% 0.18/0.80 [155]~P15(x1551)+P15(x1552)+~E(x1551,x1552)
% 0.18/0.80 [156]P9(x1562,x1563,x1564,x1565)+~E(x1561,x1562)+~P9(x1561,x1563,x1564,x1565)
% 0.18/0.80 [157]P9(x1573,x1572,x1574,x1575)+~E(x1571,x1572)+~P9(x1573,x1571,x1574,x1575)
% 0.18/0.80 [158]P9(x1583,x1584,x1582,x1585)+~E(x1581,x1582)+~P9(x1583,x1584,x1581,x1585)
% 0.18/0.80 [159]P9(x1593,x1594,x1595,x1592)+~E(x1591,x1592)+~P9(x1593,x1594,x1595,x1591)
% 0.18/0.80
% 0.18/0.80 %-------------------------------------------
% 0.18/0.80 cnf(569,plain,
% 0.18/0.80 ($false),
% 0.18/0.80 inference(scs_inference,[],[184,207,307,257,533]),
% 0.18/0.80 ['proof']).
% 0.18/0.80 % SZS output end Proof
% 0.18/0.80 % Total time :0.030000s
%------------------------------------------------------------------------------