%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:56 AM UTC 2026 % Result : Unsatisfiable 0.47s 0.70s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.09/0.34 % Computer : n004.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 16:27:59 UTC 2026 % 0.09/0.34 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 0.47/0.65 %------------------------------------------- % 0.47/0.65 % File :CSE---1.7 % 0.47/0.65 % Problem :theBenchmark % 0.47/0.65 % Transform :cnf % 0.47/0.65 % Format :tptp:raw % 0.47/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.47/0.65 % 0.47/0.65 % Result :Theorem 0.042684s % 0.47/0.65 % Output :CNFRefutation 0.042684s % 0.47/0.65 %------------------------------------------- % 0.47/0.65 %------------------------------------------------------------------------------ % 0.47/0.65 % File : LCL827-1 : TPTP v9.3.1. Released v4.1.0. % 0.47/0.65 % Domain : Logic Calculi % 0.47/0.65 % Problem : Strong normalization of typed lambda calculus 206_53 % 0.47/0.65 % Version : Especial. % 0.47/0.65 % English : % 0.47/0.65 % 0.47/0.65 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.47/0.65 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.47/0.65 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.47/0.65 % Source : [Nip10] % 0.47/0.65 % Names : StrongNorm-206_53 [Nip10] % 0.47/0.65 % 0.47/0.65 % Status : Unsatisfiable % 0.47/0.65 % Rating : 0.17 v9.3.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0 % 0.47/0.65 % Syntax : Number of clauses : 393 ( 128 unt; 29 nHn; 230 RR) % 0.47/0.65 % Number of literals : 783 ( 263 equ; 389 neg) % 0.47/0.65 % Maximal clause size : 6 ( 1 avg) % 0.47/0.65 % Maximal term depth : 27 ( 2 avg) % 0.47/0.65 % Number of predicates : 32 ( 31 usr; 1 prp; 0-4 aty) % 0.47/0.65 % Number of functors : 65 ( 65 usr; 25 con; 0-5 aty) % 0.47/0.65 % Number of variables : 977 ( 142 sgn) % 0.47/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.47/0.65 % 0.47/0.65 % Comments : % 0.47/0.65 %------------------------------------------------------------------------------ % 0.47/0.65 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.47/0.65 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.65 % 0.47/0.65 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.47/0.65 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.65 % 0.47/0.65 cnf(cls_diff__less_0,axiom, % 0.47/0.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.47/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.47/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.65 % 0.47/0.65 cnf(cls_zero__less__diff_1,axiom, % 0.47/0.65 ( 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) % 0.47/0.65 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.65 % 0.47/0.65 cnf(cls_zero__less__diff_0,axiom, % 0.47/0.65 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.65 | ~ 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) ) ). % 0.47/0.65 % 0.47/0.65 cnf(cls_nat__diff__split_0,axiom, % 0.47/0.65 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) % 0.47/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) % 0.47/0.65 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ). % 0.47/0.65 % 0.47/0.66 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/0.66 | 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) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/0.66 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.47/0.66 | ~ 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) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_add__diff__inverse_0,axiom, % 0.47/0.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.47/0.66 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__eqI_1,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.47/0.66 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__eqI_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.47/0.66 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__diff__conv_1,axiom, % 0.47/0.66 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__diff__conv_0,axiom, % 0.47/0.66 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diffs0__imp__equal_0,axiom, % 0.47/0.66 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.66 | V_m = V_n ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__imp__diff__less_0,axiom, % 0.47/0.66 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__Suc__Suc_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__self__eq__0_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.47/0.66 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/0.66 | ~ class_Int_Onumber__ring(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__self_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__0__right_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_right__minus__eq_1,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__less__mono2_0,axiom, % 0.47/0.66 ( 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) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__Suc__1_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__add__cancel_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_nat__diff__split__asm_1,axiom, % 0.47/0.66 ( ~ 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))) % 0.47/0.66 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_nat__diff__split_1,axiom, % 0.47/0.66 ( ~ 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))) % 0.47/0.66 | hBOOL(hAPP(V_P,V_d)) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__less__Suc_0,axiom, % 0.47/0.66 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__add__0_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__diff__left_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_eq__eqI_1,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.47/0.66 | V_xa = V_y ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_eq__eqI_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.47/0.66 | V_x_H = V_y_H ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__0__eq__0_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__cancel2_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__cancel_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.47/0.66 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/0.66 | ~ class_Int_Onumber__ring(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.47/0.66 | V_x = V_y ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_right__minus__eq_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.47/0.66 | V_a = V_b ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.47/0.66 | V_a = V_b ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__commute_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_Suc__diff__diff_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__Suc__eq__diff__pred_0,axiom, % 0.47/0.66 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) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__add__inverse2_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__add__inverse_0,axiom, % 0.47/0.66 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ). % 0.47/0.66 % 0.47/0.66 cnf(cls_add__diff__cancel_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.47/0.66 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_diff__Suc__less_0,axiom, % 0.47/0.66 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_Suc__pred_0,axiom, % 0.47/0.66 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_shift__lt_0,axiom, % 0.47/0.66 ( 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)) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_One__nat__def_0,axiom, % 0.47/0.66 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_r__into__rtranclp_0,axiom, % 0.47/0.66 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) % 0.47/0.66 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_not__Nil__step1_0,axiom, % 0.47/0.66 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_not__step1__Nil_0,axiom, % 0.47/0.66 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_one__is__add_1,axiom, % 0.47/0.66 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.47/0.66 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.66 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_one__is__add_2,axiom, % 0.47/0.66 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.47/0.66 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.66 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_foldl__Nil_0,axiom, % 0.47/0.66 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.47/0.66 % 0.47/0.66 cnf(cls_one__neq__zero_0,axiom, % 0.47/0.66 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.47/0.66 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_conversep__eq_0,axiom, % 0.47/0.66 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__SucE_0,axiom, % 0.47/0.66 ( V_m = V_n % 0.47/0.66 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_less__antisym_0,axiom, % 0.47/0.66 ( V_m = V_n % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.47/0.66 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.47/0.66 ( V_n = V_m % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.47/0.66 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_one__is__add_4,axiom, % 0.47/0.66 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)) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_add__strict__mono_0,axiom, % 0.47/0.66 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.47/0.66 | 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) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.66 % 0.47/0.66 cnf(cls_add__less__mono_0,axiom, % 0.47/0.66 ( 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) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.47/0.66 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.66 % 0.47/0.67 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.47/0.67 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_Suc__neq__Zero_0,axiom, % 0.47/0.67 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_lessI_0,axiom, % 0.47/0.67 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__Suc__eq_2,axiom, % 0.47/0.67 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__trans__Suc_0,axiom, % 0.47/0.67 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_foldl__foldr1_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.47/0.67 | 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__add__one_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_conversep__conversep_0,axiom, % 0.47/0.67 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ). % 0.47/0.67 % 0.47/0.67 cnf(cls_not__add__less1_0,axiom, % 0.47/0.67 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_not__add__less2_0,axiom, % 0.47/0.67 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_Suc__n__not__n_0,axiom, % 0.47/0.67 c_Suc(V_n) != V_n ). % 0.47/0.67 % 0.47/0.67 cnf(cls_n__not__Suc__n_0,axiom, % 0.47/0.67 V_n != c_Suc(V_n) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__strict__right__mono_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__less__cancel__right_1,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__less__cancel__right_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__strict__left__mono_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__less__cancel__left_1,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__less__cancel__left_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__less__mono1_0,axiom, % 0.47/0.67 ( 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.47/0.67 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.47/0.67 ( 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__is__1_5,axiom, % 0.47/0.67 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)) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_Suc__lessD_0,axiom, % 0.47/0.67 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__SucI_0,axiom, % 0.47/0.67 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_of__nat__add_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.47/0.67 | 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)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__is__1_1,axiom, % 0.47/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.67 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.67 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__is__1_2,axiom, % 0.47/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_lift_Osimps_I3_J_0,axiom, % 0.47/0.67 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom, % 0.47/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom, % 0.47/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_accp_Ocases_0,axiom, % 0.47/0.67 ( c_Wellfounded_Oaccp(V_r,V_y,T_a) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a)) % 0.47/0.67 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_accp__downward_0,axiom, % 0.47/0.67 ( c_Wellfounded_Oaccp(V_r,V_a,T_a) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) % 0.47/0.67 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_list__app__typeE_1,axiom, % 0.47/0.67 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 0.47/0.67 | ~ 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)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_list__app__typeD_1,axiom, % 0.47/0.67 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 0.47/0.67 | ~ 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)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_lift__subst_0,axiom, % 0.47/0.67 ( c_Lambda_Olift(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Olift(V_t,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))),c_Lambda_Olift(V_s,V_i)),V_j) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_lift__subst__lt_0,axiom, % 0.47/0.67 ( c_Lambda_Olift(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Olift(V_t,V_i)),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))) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_lift_Osimps_I1_J_1,axiom, % 0.47/0.67 ( 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))) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_typing__elims_I3_J_0,axiom, % 0.47/0.67 ( 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)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_var__app__types_0,axiom, % 0.47/0.67 ( 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) % 0.47/0.67 | ~ 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)) % 0.47/0.67 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.47/0.67 | ~ 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)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__neg__neg_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_even__less__0__iff_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_even__less__0__iff_1,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_not__one__less__zero_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__pos__pos_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_zero__less__one_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_pos__add__strict_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_of__nat__0_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.47/0.67 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_of__nat__less__iff_1,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_of__nat__less__iff_0,axiom, % 0.47/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.67 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__gr__0_1,axiom, % 0.47/0.67 ( 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__gr__0_2,axiom, % 0.47/0.67 ( 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) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_gr0__conv__Suc_1,axiom, % 0.47/0.67 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_zero__less__Suc_0,axiom, % 0.47/0.67 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_add__gr__0_0,axiom, % 0.47/0.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.47/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.47/0.67 | ~ 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__Suc0_0,axiom, % 0.47/0.67 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.67 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_less__Suc0_1,axiom, % 0.47/0.67 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_foldl__absorb0_0,axiom, % 0.47/0.67 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.47/0.67 | 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) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_rtrancl__beta__App_0,axiom, % 0.47/0.67 ( 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))) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_rtrancl__beta__AppL_0,axiom, % 0.47/0.67 ( 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))) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_rtrancl__beta__AppR_0,axiom, % 0.47/0.67 ( 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))) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_rtrancl__beta__Abs_0,axiom, % 0.47/0.67 ( 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))) % 0.47/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_App__eq__foldl__conv_0,axiom, % 0.47/0.67 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) % 0.47/0.67 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ). % 0.47/0.67 % 0.47/0.67 cnf(cls_App__eq__foldl__conv_4,axiom, % 0.47/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__preserves__beta2_0,axiom, % 0.47/0.68 ( 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))) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__preserves__beta_H_0,axiom, % 0.47/0.68 ( 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))) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__preserves__beta2_H_0,axiom, % 0.47/0.68 ( 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))) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__gt_0,axiom, % 0.47/0.68 ( 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)) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__Var_0,axiom, % 0.47/0.68 ( 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)) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_type_Osize_I2_J_0,axiom, % 0.47/0.68 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))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_type_Osize_I4_J_0,axiom, % 0.47/0.68 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))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__eq__if_1,axiom, % 0.47/0.68 ( 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)) % 0.47/0.68 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__diff__1_0,axiom, % 0.47/0.68 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__pred_H_0,axiom, % 0.47/0.68 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.47/0.68 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.47/0.68 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.47/0.68 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.47/0.68 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_foldr__conv__foldl_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat_Oinject_0,axiom, % 0.47/0.68 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.47/0.68 | V_nat = V_nat_H ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__inject_0,axiom, % 0.47/0.68 ( c_Suc(V_x) != c_Suc(V_y) % 0.47/0.68 | V_x = V_y ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_double__eq__0__iff_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.47/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__0_1,axiom, % 0.47/0.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__0_0,axiom, % 0.47/0.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.68 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.47/0.68 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.47/0.68 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__eq__self__zero_0,axiom, % 0.47/0.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.47/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/0.68 | ~ class_Int_Onumber__ring(T_a) % 0.47/0.68 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.47/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_of__nat__eq__iff_0,axiom, % 0.47/0.68 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.47/0.68 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.47/0.68 | V_m = V_n ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_foldl__assoc_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_less__add__eq__less_0,axiom, % 0.47/0.68 ( 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) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.47/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat__add__commute_0,axiom, % 0.47/0.68 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) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_trans__less__add2_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_trans__less__add1_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__lessD1_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_less__iff__Suc__add_1,axiom, % 0.47/0.68 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_less__add__Suc2_0,axiom, % 0.47/0.68 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_less__add__Suc1_0,axiom, % 0.47/0.68 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Zero__neq__Suc_0,axiom, % 0.47/0.68 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.47/0.68 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__Suc_0,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__Suc__right_0,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_termi__implies__IT_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,V_r)) % 0.47/0.68 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_IT__implies__termi_0,axiom, % 0.47/0.68 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB) % 0.47/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_rtranclp__trans_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_accp__downwards__aux_0,axiom, % 0.47/0.68 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 0.47/0.68 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_accp__downwards_0,axiom, % 0.47/0.68 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) % 0.47/0.68 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Nitpick_Ortranclp__def_1,axiom, % 0.47/0.68 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_rtranclp_Ortrancl__refl_0,axiom, % 0.47/0.68 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_listsp_ONil_0,axiom, % 0.47/0.68 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__1_4,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__eq__plus1__left_0,axiom, % 0.47/0.68 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__eq__plus1_0,axiom, % 0.47/0.68 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_double__eq__0__iff_1,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__0_2,axiom, % 0.47/0.68 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) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__cancel__21_1,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat__add__left__commute_0,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat__add__assoc_0,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_conversep_Ointros_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_conversep_Ocases_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_conversep__iff_1,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_conversepD_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__cancel__21_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.47/0.68 | 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) % 0.47/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.47/0.68 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.47/0.68 % 0.47/0.68 cnf(cls_one__is__add_5,axiom, % 0.47/0.68 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))) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_of__nat__1_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.47/0.68 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_zero__neq__one_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.47/0.68 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_one__is__add_3,axiom, % 0.47/0.68 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.47/0.68 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_one__is__add_0,axiom, % 0.47/0.68 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.47/0.68 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.68 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_of__nat__Suc_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__Suc__shift_0,axiom, % 0.47/0.68 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)) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_rtranclp__converseD_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_rtranclp__converseI_0,axiom, % 0.47/0.68 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) % 0.47/0.68 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_Suc__lessI_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.47/0.68 | c_Suc(V_m) = V_n % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.47/0.68 ( 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) % 0.47/0.68 | V_y = V_z ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat__add__right__cancel_0,axiom, % 0.47/0.68 ( 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) % 0.47/0.68 | V_m = V_n ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_nat__add__left__cancel_0,axiom, % 0.47/0.68 ( 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) % 0.47/0.68 | V_m = V_n ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/0.68 | ~ class_Int_Onumber__ring(T_a) % 0.47/0.68 | 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) % 0.47/0.68 | V_y = V_z ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__imp__eq_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.47/0.68 | 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) % 0.47/0.68 | V_b = V_c ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__left__cancel_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.47/0.68 | 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) % 0.47/0.68 | V_b = V_c ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__right__cancel_0,axiom, % 0.47/0.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.47/0.68 | 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) % 0.47/0.68 | V_b = V_c ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_subst__subst_0,axiom, % 0.47/0.68 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),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) % 0.47/0.68 | ~ 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__1_3,axiom, % 0.47/0.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.68 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_add__is__1_0,axiom, % 0.47/0.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.47/0.68 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.47/0.68 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.68 | 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)) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.47/0.68 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_not__less__eq_1,axiom, % 0.47/0.68 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.68 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_not__less__eq_0,axiom, % 0.47/0.68 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.47/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_lift__lift_0,axiom, % 0.47/0.68 ( c_Lambda_Olift(c_Lambda_Olift(V_t,V_i),c_Suc(V_k)) = c_Lambda_Olift(c_Lambda_Olift(V_t,V_k),V_i) % 0.47/0.68 | ~ 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) ) ). % 0.47/0.68 % 0.47/0.68 cnf(cls_zero__less__two_0,axiom, % 0.47/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.69 | 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) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_rtranclp__idemp_0,axiom, % 0.47/0.69 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.47/0.69 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.47/0.69 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.47/0.69 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.47/0.69 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.47/0.69 % 0.47/0.69 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.47/0.69 | ~ class_Int_Onumber__ring(T_a) % 0.47/0.69 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.47/0.69 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_add__0__left_0,axiom, % 0.47/0.69 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.47/0.69 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.47/0.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Suc__less__eq_0,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Suc__mono_0,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_head__Var__reduction_0,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_typing__elims_I2_J_1,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__Abs_0,axiom, % 0.47/0.69 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),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)))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subject__reduction_H_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t_H),V_T)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_var__app__types_1,axiom, % 0.47/0.69 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 0.47/0.69 | ~ 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)) % 0.47/0.69 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_var__app__typesE_1,axiom, % 0.47/0.69 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_list__app__typeD_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_list__app__typeI_0,axiom, % 0.47/0.69 ( 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)) % 0.47/0.69 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.47/0.69 | ~ 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))) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_list__app__typeE_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_shift__commute_0,axiom, % 0.47/0.69 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) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_typing__elims_I3_J_1,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_abs__typeE_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift__preserves__beta_H_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_var__app__typesE_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_double__induction__lemma_0,axiom, % 0.47/0.69 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB) % 0.47/0.69 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB) % 0.47/0.69 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__preserves__betas_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__preserves__beta2_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__eq__Abs__conv_2,axiom, % 0.47/0.69 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__eq__Abs__conv_1,axiom, % 0.47/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.47/0.69 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__eq__apps__conv_2,axiom, % 0.47/0.69 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__eq__apps__conv_1,axiom, % 0.47/0.69 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.47/0.69 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__eq__apps__conv_1,axiom, % 0.47/0.69 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.47/0.69 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__eq__apps__conv_2,axiom, % 0.47/0.69 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_typing__elims_I2_J_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.69 | 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) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.47/0.69 | ~ 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) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_head__Var__reduction_1,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_IT_OVar_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var_I2_J_0,axiom, % 0.47/0.69 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______)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.47/0.69 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_abs_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.47/0.69 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) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_app__Var__IT_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift__preserves__beta_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.47/0.69 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__lift_0,axiom, % 0.47/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Olift(V_t,V_k)),V_s),V_k) = V_t ). % 0.47/0.69 % 0.47/0.69 cnf(cls_uIT_0,axiom, % 0.47/0.69 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_appL_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_appR_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Lambda_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r))) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | V_r = V_s ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.47/0.69 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.47/0.69 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__Var_1,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.47/0.69 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_not__less0_0,axiom, % 0.47/0.69 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_gr__implies__not0_0,axiom, % 0.47/0.69 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_xt1_I10_J_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Oorder(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_order__less__trans_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Opreorder(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var_I3_J_0,axiom, % 0.47/0.69 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__Var_2,axiom, % 0.47/0.69 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i) % 0.47/0.69 | V_i = V_k % 0.47/0.69 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__preserves__beta_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.47/0.69 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__IT_0,axiom, % 0.47/0.69 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.47/0.69 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Beta_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s)) % 0.47/0.69 | ~ 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))) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift__IT_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i))) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.47/0.69 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) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.47/0.69 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.47/0.69 | V_dB = V_dB_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.47/0.69 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.47/0.69 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.47/0.69 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__preserves__beta_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_nat__less__le_1,axiom, % 0.47/0.69 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_less__not__refl_0,axiom, % 0.47/0.69 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_order__less__le_1,axiom, % 0.47/0.69 ( ~ class_Orderings_Oorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__neq__iff_1,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_order__less__irrefl_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Opreorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_beta_0,axiom, % 0.47/0.69 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)))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.47/0.69 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.47/0.69 | V_x = V_y ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | V_x = V_y % 0.47/0.69 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_nat__neq__iff_0,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.47/0.69 | V_m = V_n ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_nat__less__cases_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.47/0.69 | V_m = V_n % 0.47/0.69 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_var__app__type__eq_0,axiom, % 0.47/0.69 ( V_T = V_U % 0.47/0.69 | ~ 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)) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__neqE__nat_0,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.47/0.69 | V_x = V_y ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__neqE_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.47/0.69 | V_x = V_y ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__less__linear_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.47/0.69 | V_x = V_y % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | V_x = V_y % 0.47/0.69 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.47/0.69 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.47/0.69 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.47/0.69 | V_dB2 = V_dB2_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.47/0.69 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.47/0.69 | V_dB1 = V_dB1_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | V_rs = V_ss ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | V_r = V_s ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.47/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.47/0.69 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_App_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_U)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_t),V_T)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_s),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_beta__cases_I1_J_0,axiom, % 0.47/0.69 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_gr0I_0,axiom, % 0.47/0.69 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.47/0.69 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_neq0__conv_1,axiom, % 0.47/0.69 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__lt_0,axiom, % 0.47/0.69 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__Var__IT_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j))) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.47/0.69 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.47/0.69 | V_type2 = V_type2_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.47/0.69 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.47/0.69 | V_type1 = V_type1_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__eq_0,axiom, % 0.47/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | V_rs = V_ss ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.47/0.69 ( 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) % 0.47/0.69 | V_m = V_n ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.47/0.69 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.47/0.69 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.47/0.69 | V_nat = V_nat_H ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.47/0.69 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.47/0.69 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__App_0,axiom, % 0.47/0.69 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)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_xt1_I9_J_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Oorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.47/0.69 ( ~ class_Orderings_Olinorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_order__less__asym_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Opreorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_order__less__asym_H_0,axiom, % 0.47/0.69 ( ~ class_Orderings_Opreorder(T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_lift__type_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_U)),c_Lambda_Olift(V_t,V_i)),V_T)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_I_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_ua),V_ia))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_ua),v_T____)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_ua)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_a____),V_T_H)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Cons_I1_J_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_u),V_ia))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_a____),V_T_H)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_uT_0,axiom, % 0.47/0.69 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subject__reduction_0,axiom, % 0.47/0.69 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t_H),V_T)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H)) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_shift__gt_0,axiom, % 0.47/0.69 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_T),V_j) = hAPP(V_e,V_j) % 0.47/0.69 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_MI2_0,axiom, % 0.47/0.69 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.47/0.69 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T2)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.47/0.69 | ~ 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)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_MI1_0,axiom, % 0.47/0.69 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.47/0.69 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T1)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.47/0.69 | ~ 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)) % 0.47/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_shift__eq_0,axiom, % 0.47/0.69 hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_x),V_T),V_x) = V_T ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Abs_0,axiom, % 0.47/0.69 ( 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))) % 0.47/0.69 | ~ 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)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_typing__elims_I1_J_0,axiom, % 0.47/0.69 ( hAPP(V_e,V_i) = V_T % 0.47/0.69 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OVar(V_i)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Cons_I1_J_1,axiom, % 0.47/0.69 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_sko__local__XCons__1__1(v_T____,v_a____,v_e____,v_i____))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_False_0,axiom, % 0.47/0.69 v_n____ != v_i____ ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Var_I4_J_0,axiom, % 0.47/0.69 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_Cons_Ohyps_I1_J_1,axiom, % 0.47/0.69 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_sko__local__XCons__Xhyps__1__1(v_T____,v_a____,v_e____,v_i____))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_nT_0,axiom, % 0.47/0.69 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____)) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_that_0,axiom, % 0.47/0.69 ( v_thesis____ % 0.47/0.69 | ~ 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_U)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_typing_OVar_0,axiom, % 0.47/0.69 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),c_Lambda_OdB_OVar(V_x)),hAPP(V_env,V_x))) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_subst__lemma_0,axiom, % 0.47/0.69 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),V_u),V_U)) % 0.47/0.69 | ~ 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)) % 0.47/0.69 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_T)) ) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_CHAINED_0,axiom, % 0.47/0.69 c_List_Olistsp(c_InductTermi_OIT,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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ). % 0.47/0.69 % 0.47/0.69 cnf(cls_CHAINED_0_01,axiom, % 0.47/0.69 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_as____,tc_Lambda_OdB) ). % 0.47/0.70 % 0.47/0.70 cnf(cls_CHAINED_1,axiom, % 0.47/0.70 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_sko__CHAINED__1(v_T____,v_a____,v_e____,v_i____))) ). % 0.47/0.70 % 0.47/0.70 cnf(cls_CHAINED_0_02,axiom, % 0.47/0.70 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_u),V_ia))) % 0.47/0.70 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____)) % 0.47/0.70 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.47/0.70 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_a____),V_T_H)) ) ). % 0.47/0.70 % 0.47/0.70 cnf(cls_conjecture_0,negated_conjecture, % 0.47/0.70 ~ v_thesis____ ). % 0.47/0.70 % 0.47/0.70 cnf(cls_conjecture_1,negated_conjecture, % 0.47/0.70 ( v_thesis____ % 0.47/0.70 | ~ 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_x)) ) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.47/0.70 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.47/0.70 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.47/0.70 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.47/0.70 | ~ class_Orderings_Oorder(T_1) ) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.47/0.70 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.47/0.70 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.47/0.70 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.47/0.70 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.47/0.70 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.47/0.70 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.47/0.70 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.47/0.70 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.47/0.70 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.47/0.70 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.47/0.70 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.47/0.70 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.47/0.70 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.47/0.70 class_Nat_Osemiring__char__0(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.47/0.70 class_Orderings_Opreorder(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.47/0.70 class_Orderings_Olinorder(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.47/0.70 class_Orderings_Oorder(tc_nat) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.47/0.70 class_Orderings_Opreorder(tc_bool) ). % 0.47/0.70 % 0.47/0.70 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.47/0.70 class_Orderings_Oorder(tc_bool) ). % 0.47/0.70 % 0.47/0.70 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.47/0.70 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 0.47/0.70 % 0.47/0.70 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.47/0.70 ( V_X = V_Y % 0.47/0.70 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 0.47/0.70 % 0.47/0.70 %------------------------------------------------------------------------------ % 0.47/0.70 %------------------------------------------- % 0.47/0.70 % Proof found % 0.47/0.70 % SZS status Theorem for theBenchmark % 0.47/0.70 % SZS output start Proof % 0.47/0.70 %ClaNum:535(EqnAxiom:143) % 0.47/0.70 %VarNum:1924(SingletonVarNum:850) % 0.47/0.70 %MaxLitNum:6 % 0.47/0.70 %MaxfuncDepth:7 % 0.47/0.70 %SharedTerms:289 % 0.47/0.70 %goalClause: 246 498 % 0.47/0.70 %singleGoalClaCount:1 % 0.47/0.70 [144]P1(a1) % 0.47/0.70 [145]P2(a1) % 0.47/0.70 [146]P3(a1) % 0.47/0.70 [147]P20(a1) % 0.47/0.70 [148]P18(a1) % 0.47/0.70 [149]P29(a1) % 0.47/0.70 [150]P21(a1) % 0.47/0.70 [151]P4(a1) % 0.47/0.70 [152]P5(a1) % 0.47/0.70 [153]P22(a1) % 0.47/0.70 [154]P23(a1) % 0.47/0.70 [155]P13(a1) % 0.47/0.70 [156]P14(a1) % 0.47/0.70 [157]P15(a1) % 0.47/0.70 [158]P24(a1) % 0.47/0.70 [159]P24(a2) % 0.47/0.70 [160]P26(a1) % 0.47/0.70 [161]P26(a2) % 0.47/0.70 [162]P25(a1) % 0.47/0.70 [245]~E(a61,a57) % 0.47/0.70 [246]~P31(a5000) % 0.47/0.70 [165]P30(f28(a13,a49)) % 0.47/0.70 [166]P30(f28(a13,a64)) % 0.47/0.70 [238]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)),a55),f58(a51,a55,a54,a57))) % 0.47/0.70 [239]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)),a55),f63(a51,a55,a54,a57))) % 0.47/0.70 [240]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)),a55),f59(a51,a55,a54,a57))) % 0.47/0.70 [188]P30(f28(f28(f28(a32,a50),a64),a51)) % 0.47/0.70 [189]P30(f28(f28(f28(a32,a54),a49),a51)) % 0.47/0.70 [242]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a50),a60),a51)),f23(a16,f3(a61),a62,a18,a18)),a52)) % 0.47/0.70 [243]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)),f23(a16,f3(a61),a62,a18,a18)),a53)) % 0.47/0.70 [241]P6(a13,f26(f28(f28(f7(a18,a1,a18),f28(f28(f7(a18,a18,f48(a1,a18)),a21),a49)),a57),a56,a18,a18),a18) % 0.46/0.70 [244]P6(f28(f28(f10(a18,a2,a2),f28(f28(f8(a2,f48(a2,a2),a18),a45),f28(f28(f8(f48(f48(a1,a47),a2),a2,a18),f9(f48(a1,a47))),f28(f28(f8(f48(f48(a1,a47),f48(a47,a2)),f48(f48(a1,a47),a2),a18),f28(f8(f48(a47,a2),a2,f48(a1,a47)),f9(a47))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(a18,a2))),f48(f48(a1,a47),f48(a47,a2)),a18),f28(f8(f48(a47,f48(a18,a2)),f48(a47,a2),f48(a1,a47)),f28(f8(f48(a18,a2),a2,a47),f9(a18)))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(a18,f48(a1,a2)))),f48(f48(a1,a47),f48(a47,f48(a18,a2))),a18),f28(f8(f48(a47,f48(a18,f48(a1,a2))),f48(a47,f48(a18,a2)),f48(a1,a47)),f28(f8(f48(a18,f48(a1,a2)),f48(a18,a2),a47),f28(f8(f48(a1,a2),a2,a18),f9(a1))))),f28(f28(f10(a18,f48(f48(a1,a47),f48(a18,f48(a1,a2))),f48(f48(a1,a47),f48(a47,f48(a18,f48(a1,a2))))),f28(f28(f8(f48(f48(a1,a47),f48(f48(a18,f48(a1,a2)),f48(a47,f48(a18,f48(a1,a2))))),f48(f48(f48(a1,a47),f48(a18,f48(a1,a2))),f48(f48(a1,a47),f48(a47,f48(a18,f48(a1,a2))))),a18),f10(f48(a1,a47),f48(a18,f48(a1,a2)),f48(a47,f48(a18,f48(a1,a2))))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))))),f48(f48(a1,a47),f48(f48(a18,f48(a1,a2)),f48(a47,f48(a18,f48(a1,a2))))),a18),f28(f8(f48(a47,f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2)))),f48(f48(a18,f48(a1,a2)),f48(a47,f48(a18,f48(a1,a2)))),f48(a1,a47)),f7(a47,f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(f48(a1,a2),f48(a1,a2)))),f48(f48(a1,a47),f48(a47,f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))))),a18),f28(f8(f48(a47,f48(f48(a1,a2),f48(a1,a2))),f48(a47,f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2)))),f48(a1,a47)),f28(f8(f48(f48(a1,a2),f48(a1,a2)),f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))),a47),f8(f48(a1,a2),f48(a1,a2),a18)))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(a1,f48(a2,a2)))),f48(f48(a1,a47),f48(a47,f48(f48(a1,a2),f48(a1,a2)))),a18),f28(f8(f48(a47,f48(a1,f48(a2,a2))),f48(a47,f48(f48(a1,a2),f48(a1,a2))),f48(a1,a47)),f28(f8(f48(a1,f48(a2,a2)),f48(f48(a1,a2),f48(a1,a2)),a47),f10(a1,a2,a2)))),f28(f28(f8(f48(f48(a1,a47),f48(a47,f48(a1,a2))),f48(f48(a1,a47),f48(a47,f48(a1,f48(a2,a2)))),a18),f28(f8(f48(a47,f48(a1,a2)),f48(a47,f48(a1,f48(a2,a2))),f48(a1,a47)),f28(f8(f48(a1,a2),f48(a1,f48(a2,a2)),a47),f28(f8(a2,f48(a2,a2),a1),a46)))),f28(f28(f8(f48(f48(a1,a47),f48(a1,f48(a47,a2))),f48(f48(a1,a47),f48(a47,f48(a1,a2))),a18),f28(f8(f48(a1,f48(a47,a2)),f48(a47,f48(a1,a2)),f48(a1,a47)),f7(a1,a47,a2))),f28(f7(f48(a1,a47),a18,f48(a1,f48(a47,a2))),f28(f28(f8(f48(a1,f48(a18,f48(a47,a2))),f48(a18,f48(a1,f48(a47,a2))),f48(a1,a47)),f7(a1,a18,f48(a47,a2))),f28(f28(f8(f48(a1,f48(a1,a47)),f48(a1,f48(a18,f48(a47,a2))),f48(a1,a47)),f28(f8(f48(a1,a47),f48(a18,f48(a47,a2)),a1),a32)),f28(f28(f7(f48(a1,a47),a47,f48(a1,f48(a1,a47))),f28(f28(f8(f48(a1,f48(a47,f48(a1,a47))),f48(a47,f48(a1,f48(a1,a47))),f48(a1,a47)),f7(a1,a47,f48(a1,a47))),f33(a47))),a51))))))))))),f28(f28(f8(f48(f48(a1,a47),f48(a18,f48(a1,a2))),f48(f48(a1,a47),f48(a18,f48(a1,a2))),a18),f28(f8(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2)),f48(a1,a47)),f28(f10(a18,f48(a1,a2),f48(a1,a2)),f28(f28(f8(f48(a2,a2),f48(f48(a1,a2),f48(a1,a2)),a18),f8(a2,a2,a1)),f28(f28(f8(a2,f48(a2,a2),a18),a46),a13))))),f28(f28(f8(f48(a18,f48(a1,a2)),f48(f48(a1,a47),f48(a18,f48(a1,a2))),a18),f28(f7(f48(a1,a47),f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))),f28(f28(f8(f48(a18,f48(f48(a1,a2),f48(a1,a2))),f48(f48(a18,f48(a1,a2)),f48(a18,f48(a1,a2))),f48(a1,a47)),f10(a18,f48(a1,a2),f48(a1,a2))),f28(f28(f8(f48(a18,f48(a2,a2)),f48(a18,f48(f48(a1,a2),f48(a1,a2))),f48(a1,a47)),f28(f8(f48(a2,a2),f48(f48(a1,a2),f48(a1,a2)),a18),f8(a2,a2,a1))),f28(f28(f8(f48(a18,a2),f48(a18,f48(a2,a2)),f48(a1,a47)),f28(f8(a2,f48(a2,a2),a18),a46)),f28(f28(f7(f48(a1,a47),a47,f48(a18,a2)),f28(f28(f8(f48(a18,f48(a47,a2)),f48(a47,f48(a18,a2)),f48(a1,a47)),f7(a18,a47,a2)),a32)),a51)))))),f28(f28(f8(f48(a18,f48(a1,a18)),f48(a18,f48(a1,a2)),a18),f28(f8(f48(a1,a18),f48(a1,a2),a18),f28(f8(a18,a2,a1),a13))),a21)))))))))),f28(f28(f8(f48(a47,a2),a2,a18),f11(a47)),f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)))),a56,a18) % 0.46/0.70 [260]~P7(x2601,x2601,a1) % 0.46/0.70 [172]E(f6(x1721,x1721,a1),f4(a1)) % 0.46/0.70 [262]~P7(x2621,f4(a1),a1) % 0.46/0.70 [163]E(f17(f3(x1631)),f4(a1)) % 0.46/0.70 [164]E(f19(f3(x1641),a18),f4(a1)) % 0.46/0.70 [167]P30(f28(a13,f3(x1671))) % 0.46/0.70 [169]E(f28(f28(f5(a1),x1691),f4(a1)),x1691) % 0.46/0.70 [173]E(f6(x1731,f4(a1),a1),x1731) % 0.46/0.70 [176]E(f6(f4(a1),x1761,a1),f4(a1)) % 0.46/0.70 [178]E(f30(f31(x1781),x1781,x1781),f31(x1781)) % 0.46/0.70 [187]P7(x1871,f28(f28(f5(a1),x1871),f12(a1)),a1) % 0.46/0.70 [191]P7(f4(a1),f28(f28(f5(a1),x1911),f12(a1)),a1) % 0.46/0.70 [254]~E(f28(f28(f5(a1),x2541),f12(a1)),x2541) % 0.46/0.70 [258]~E(f28(f28(f5(a1),x2581),f12(a1)),f4(a1)) % 0.46/0.70 [170]E(f28(f28(f5(a1),f4(a1)),x1701),x1701) % 0.46/0.70 [195]E(f28(f28(f5(a1),f17(x1951)),f28(f28(f5(a1),f4(a1)),f12(a1))),f17(f14(x1951))) % 0.46/0.70 [202]E(f28(f28(f5(a1),f19(x2021,a18)),f28(f28(f5(a1),f4(a1)),f12(a1))),f19(f14(x2021),a18)) % 0.46/0.70 [177]P6(x1771,f20(x1772),x1772) % 0.46/0.70 [248]~E(f14(x2481),f3(x2482)) % 0.46/0.70 [171]E(f29(f29(x1711,x1712),x1712),f29(x1711,x1712)) % 0.46/0.70 [205]P30(f28(f28(f28(a32,x2051),f3(x2052)),f28(x2051,x2052))) % 0.46/0.70 [206]P7(f6(x2061,x2062,a1),f28(f28(f5(a1),x2061),f12(a1)),a1) % 0.46/0.70 [222]P7(x2221,f28(f28(f5(a1),f28(f28(f5(a1),x2222),x2221)),f12(a1)),a1) % 0.46/0.70 [224]P7(x2241,f28(f28(f5(a1),f28(f28(f5(a1),x2241),x2242)),f12(a1)),a1) % 0.46/0.70 [179]E(f28(f28(f5(a1),x1791),x1792),f28(f28(f5(a1),x1792),x1791)) % 0.46/0.70 [181]P30(f28(f28(f31(x1811),x1812),x1812)) % 0.46/0.70 [212]E(f6(x2121,f28(f28(f5(a1),x2122),f12(a1)),a1),f6(f6(x2121,f12(a1),a1),x2122,a1)) % 0.46/0.70 [220]E(f28(f28(f5(a1),f28(f28(f5(a1),f17(x2201)),f17(x2202))),f28(f28(f5(a1),f4(a1)),f12(a1))),f17(f28(f28(a16,x2201),x2202))) % 0.46/0.70 [221]E(f28(f28(f5(a1),f28(f28(f5(a1),f34(x2211)),f34(x2212))),f28(f28(f5(a1),f4(a1)),f12(a1))),f34(f28(f28(a35,x2211),x2212))) % 0.46/0.70 [227]E(f28(f28(f5(a1),f28(f28(f5(a1),f19(x2271,a18)),f19(x2272,a18))),f28(f28(f5(a1),f4(a1)),f12(a1))),f19(f28(f28(a16,x2271),x2272),a18)) % 0.46/0.70 [228]E(f28(f28(f5(a1),f28(f28(f5(a1),f19(x2281,a47)),f19(x2282,a47))),f28(f28(f5(a1),f4(a1)),f12(a1))),f19(f28(f28(a35,x2281),x2282),a47)) % 0.46/0.70 [229]P30(f28(f28(a15,f28(f28(a16,f14(x2291)),x2292)),f28(f28(f28(a21,x2291),x2292),f4(a1)))) % 0.46/0.70 [264]~P30(f28(f28(a15,f3(x2641)),x2642)) % 0.46/0.70 [265]~P7(f28(f28(f5(a1),x2651),x2652),x2652,a1) % 0.46/0.70 [266]~P7(f28(f28(f5(a1),x2661),x2662),x2661,a1) % 0.46/0.70 [182]E(f28(f28(f28(a21,f3(x1821)),x1822),x1821),x1822) % 0.46/0.70 [183]E(f6(f28(f28(f5(a1),x1831),x1832),x1832,a1),x1831) % 0.46/0.70 [184]E(f6(f28(f28(f5(a1),x1841),x1842),x1841,a1),x1842) % 0.46/0.70 [185]E(f6(x1851,f28(f28(f5(a1),x1851),x1852),a1),f4(a1)) % 0.46/0.70 [203]E(f14(f22(x2031,f28(f28(f5(a1),x2032),f12(a1)))),f22(f14(x2031),x2032)) % 0.46/0.70 [218]E(f28(f28(f5(a1),f28(f28(f5(a1),x2181),f12(a1))),x2182),f28(f28(f5(a1),x2181),f28(f28(f5(a1),x2182),f12(a1)))) % 0.46/0.70 [219]E(f28(f28(f5(a1),f28(f28(f5(a1),x2191),f12(a1))),x2192),f28(f28(f5(a1),f28(f28(f5(a1),x2191),x2192)),f12(a1))) % 0.46/0.70 [267]~P8(x2671,x2672,f20(x2673),x2673) % 0.46/0.70 [268]~P8(x2681,f20(x2682),x2683,x2682) % 0.46/0.70 [193]E(f30(f30(x1931,x1932,x1933),x1933,x1932),x1931) % 0.46/0.70 [213]E(f6(f6(x2131,x2132,a1),x2133,a1),f6(f6(x2131,x2133,a1),x2132,a1)) % 0.46/0.70 [249]~E(f3(x2491),f28(f28(a16,x2492),x2493)) % 0.46/0.70 [250]~E(f14(x2501),f28(f28(a16,x2502),x2503)) % 0.46/0.70 [251]~E(f28(f28(a16,x2511),x2512),f3(x2513)) % 0.46/0.70 [252]~E(f28(f28(a16,x2521),x2522),f14(x2523)) % 0.46/0.70 [197]P30(f28(f28(f29(x1971,x1972),x1973),x1973)) % 0.46/0.70 [199]E(f28(f28(a16,f22(x1991,x1992)),f22(x1993,x1992)),f22(f28(f28(a16,x1991),x1993),x1992)) % 0.46/0.70 [225]E(f6(f6(f28(f28(f5(a1),x2251),f12(a1)),x2252,a1),f28(f28(f5(a1),x2253),f12(a1)),a1),f6(f6(x2251,x2252,a1),x2253,a1)) % 0.46/0.70 [198]E(f28(f28(f28(a21,f22(x1981,x1982)),x1983),x1982),x1981) % 0.46/0.70 [207]E(f28(f28(f5(a1),x2071),f28(f28(f5(a1),x2072),x2073)),f28(f28(f5(a1),x2072),f28(f28(f5(a1),x2071),x2073))) % 0.46/0.70 [208]E(f6(f28(f28(f5(a1),x2081),x2082),f28(f28(f5(a1),x2083),x2082),a1),f6(x2081,x2083,a1)) % 0.46/0.70 [209]E(f6(f28(f28(f5(a1),x2091),x2092),f28(f28(f5(a1),x2091),x2093),a1),f6(x2092,x2093,a1)) % 0.46/0.70 [211]E(f6(x2111,f28(f28(f5(a1),x2112),x2113),a1),f6(f6(x2111,x2112,a1),x2113,a1)) % 0.46/0.70 [226]E(f14(f28(f28(f28(a21,x2261),f22(x2262,f4(a1))),f28(f28(f5(a1),x2263),f12(a1)))),f28(f28(f28(a21,f14(x2261)),x2262),x2263)) % 0.46/0.70 [216]E(f28(f28(f5(a1),f28(f28(f5(a1),x2161),x2162)),x2163),f28(f28(f5(a1),x2161),f28(f28(f5(a1),x2162),x2163))) % 0.46/0.70 [231]E(f23(x2311,x2312,f20(x2313),x2314,x2313),x2312) % 0.46/0.70 [232]E(f25(x2321,f20(x2322),x2323,x2322,x2324),x2323) % 0.46/0.70 [270]~E(f23(a16,f14(x2701),x2702,a18,a18),f23(a16,f3(x2703),x2704,a18,a18)) % 0.46/0.70 [269]~E(f28(f28(a16,f14(x2691)),x2692),f23(a16,f3(x2693),x2694,a18,a18)) % 0.46/0.70 [204]E(f28(f28(f28(f28(f33(x2041),x2042),x2043),x2044),x2043),x2044) % 0.46/0.70 [230]E(f28(f28(a16,f28(f28(f28(a21,x2301),x2302),x2303)),f28(f28(f28(a21,x2304),x2302),x2303)),f28(f28(f28(a21,f28(f28(a16,x2301),x2304)),x2302),x2303)) % 0.46/0.70 [237]E(f28(f28(f28(f33(x2371),f28(f28(f28(f33(x2371),x2372),f4(a1)),x2373)),f28(f28(f5(a1),x2374),f12(a1))),x2375),f28(f28(f28(f33(x2371),f28(f28(f28(f33(x2371),x2372),x2374),x2375)),f4(a1)),x2373)) % 0.46/0.70 [274]~P1(x2741)+~E(f12(x2741),f4(x2741)) % 0.46/0.70 [280]E(x2801,f4(a1))+P7(f4(a1),x2801,a1) % 0.46/0.70 [294]~P20(x2941)+P7(f4(x2941),f12(x2941),x2941) % 0.46/0.70 [315]~P20(x3151)+~P7(f12(x3151),f4(x3151),x3151) % 0.46/0.70 [353]P10(f30(a15,a18,a18),x3531,a18)+~P30(f28(a13,x3531)) % 0.46/0.70 [383]~P10(f30(a15,a18,a18),x3831,a18)+P30(f28(a13,x3831)) % 0.46/0.70 [275]~P29(x2751)+E(f27(f4(a1),x2751),f4(x2751)) % 0.46/0.70 [276]~P29(x2761)+E(f27(f12(a1),x2761),f12(x2761)) % 0.46/0.70 [299]~P17(x2991)+E(f28(f28(f5(x2991),f4(x2991)),f4(x2991)),f4(x2991)) % 0.46/0.70 [300]~P30(f28(a13,x3001))+P30(f28(a13,f14(x3001))) % 0.46/0.70 [360]~P20(x3601)+P7(f4(x3601),f28(f28(f5(x3601),f12(x3601)),f12(x3601)),x3601) % 0.46/0.70 [381]E(x3811,f4(a1))+~P7(x3811,f28(f28(f5(a1),f4(a1)),f12(a1)),a1) % 0.46/0.70 [429]~P7(f4(a1),x4291,a1)+E(f28(f28(f5(a1),f6(x4291,f12(a1),a1)),f12(a1)),x4291) % 0.46/0.70 [469]~P7(f4(a1),x4691,a1)+E(f28(f28(f5(a1),f6(x4691,f28(f28(f5(a1),f4(a1)),f12(a1)),a1)),f12(a1)),x4691) % 0.46/0.70 [498]P31(a5000)+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),a54),a57),a51)),a55),x4981)) % 0.46/0.70 [301]~P7(x3012,x3012,x3011)+~P24(x3011) % 0.46/0.70 [302]~P7(x3022,x3022,x3021)+~P26(x3021) % 0.46/0.70 [303]~P7(x3032,x3032,x3031)+~P25(x3031) % 0.46/0.70 [271]E(x2711,x2712)+~E(f3(x2711),f3(x2712)) % 0.46/0.70 [272]E(x2721,x2722)+~E(f14(x2721),f14(x2722)) % 0.46/0.70 [277]~P24(x2772)+P24(f48(x2771,x2772)) % 0.46/0.70 [278]~P26(x2782)+P26(f48(x2781,x2782)) % 0.46/0.70 [282]~P16(x2822)+E(f6(x2821,x2821,x2822),f4(x2822)) % 0.46/0.70 [283]~P12(x2832)+E(f6(x2831,x2831,x2832),f4(x2832)) % 0.46/0.70 [326]~P20(x3261)+~P7(f27(x3262,x3261),f4(x3261),x3261) % 0.46/0.70 [380]~P7(x3802,x3801,a1)+P7(f4(a1),f6(x3801,x3802,a1),a1) % 0.46/0.70 [399]P7(x3991,x3992,a1)+~P7(f4(a1),f6(x3992,x3991,a1),a1) % 0.46/0.70 [284]~P3(x2841)+E(f28(f28(f5(x2841),x2842),f4(x2841)),x2842) % 0.46/0.70 [285]~P23(x2851)+E(f28(f28(f5(x2851),x2852),f4(x2851)),x2852) % 0.46/0.70 [286]~P13(x2861)+E(f28(f28(f5(x2861),x2862),f4(x2861)),x2862) % 0.46/0.70 [287]~P16(x2872)+E(f6(x2871,f4(x2872),x2872),x2871) % 0.46/0.70 [308]~P7(x3081,x3082,a1)+E(f22(f3(x3081),x3082),f3(x3081)) % 0.46/0.70 [325]~P30(f28(a13,x3251))+P30(f28(a13,f22(x3251,x3252))) % 0.46/0.70 [342]~P20(x3422)+P7(x3421,f28(f28(f5(x3422),x3421),f12(x3422)),x3422) % 0.46/0.70 [357]P7(x3571,x3572,a1)+P7(x3572,f28(f28(f5(a1),x3571),f12(a1)),a1) % 0.46/0.70 [359]P7(x3592,x3591,a1)+E(f28(f28(f5(a1),x3591),f6(x3592,x3591,a1)),x3592) % 0.46/0.70 [371]~P30(f28(f28(a15,x3711),x3712))+P30(f28(f28(a15,f14(x3711)),f14(x3712))) % 0.46/0.70 [409]~P7(x4091,x4092,a1)+~P7(x4092,f28(f28(f5(a1),x4091),f12(a1)),a1) % 0.46/0.70 [448]P7(x4481,x4482,a1)+~P7(f28(f28(f5(a1),x4481),f12(a1)),f28(f28(f5(a1),x4482),f12(a1)),a1) % 0.46/0.70 [496]~P3(x4961)+E(f25(f5(x4961),x4962,f4(x4961),x4961,x4961),f23(f5(x4961),f4(x4961),x4962,x4961,x4961)) % 0.46/0.70 [288]~P3(x2881)+E(f28(f28(f5(x2881),f4(x2881)),x2882),x2882) % 0.46/0.70 [290]~P23(x2901)+E(f28(f28(f5(x2901),f4(x2901)),x2902),x2902) % 0.46/0.70 [291]~P13(x2911)+E(f28(f28(f5(x2911),f4(x2911)),x2912),x2912) % 0.46/0.70 [296]E(x2961,f4(a1))+~E(f28(f28(f5(a1),x2962),x2961),x2962) % 0.46/0.70 [297]E(x2971,f4(a1))+~E(f28(f28(f5(a1),x2972),x2971),f4(a1)) % 0.46/0.70 [298]E(x2981,f4(a1))+~E(f28(f28(f5(a1),x2981),x2982),f4(a1)) % 0.46/0.70 [341]P7(x3411,x3412,a1)+E(f22(f3(x3411),x3412),f3(f28(f28(f5(a1),x3411),f12(a1)))) % 0.46/0.70 [361]~P29(x3612)+E(f27(f28(f28(f5(a1),x3611),f12(a1)),x3612),f28(f28(f5(x3612),f12(x3612)),f27(x3611,x3612))) % 0.46/0.70 [377]~P30(f28(a13,x3771))+P30(f28(a13,f28(f28(a16,x3771),f3(x3772)))) % 0.46/0.70 [446]~P7(f4(a1),x4461,a1)+P7(f6(x4461,f28(f28(f5(a1),x4462),f12(a1)),a1),x4461,a1) % 0.46/0.70 [450]P30(f28(f28(f29(a15,a18),f14(x4501)),f14(x4502)))+~P30(f28(f28(f29(a15,a18),x4501),x4502)) % 0.46/0.70 [477]E(x4771,f4(a1))+E(f28(f28(f5(a1),f28(f28(f5(a1),f6(x4771,f12(a1),a1)),x4772)),f12(a1)),f28(f28(f5(a1),x4771),x4772)) % 0.46/0.70 [517]~P6(a13,x5172,a18)+P30(f28(a13,f23(a16,f3(x5171),x5172,a18,a18))) % 0.46/0.70 [378]~P7(x3781,x3783,a1)+P7(f6(x3781,x3782,a1),x3783,a1) % 0.46/0.70 [487]~E(f3(x4872),f23(a16,x4873,x4871,a18,a18))+E(x4871,f20(a18)) % 0.46/0.70 [488]~E(f14(x4882),f23(a16,x4883,x4881,a18,a18))+E(x4881,f20(a18)) % 0.46/0.70 [489]~E(f23(a16,x4892,x4891,a18,a18),f14(x4893))+E(x4891,f20(a18)) % 0.46/0.70 [490]E(x4901,f14(x4902))+~E(f23(a16,x4901,x4903,a18,a18),f14(x4902)) % 0.46/0.70 [491]E(f3(x4911),x4912)+~E(f3(x4911),f23(a16,x4912,x4913,a18,a18)) % 0.46/0.70 [492]E(f14(x4921),x4922)+~E(f14(x4921),f23(a16,x4922,x4923,a18,a18)) % 0.46/0.70 [509]E(x5091,x5092)+~E(f23(a16,x5091,x5093,a18,a18),f23(a16,x5092,x5093,a18,a18)) % 0.46/0.70 [423]~P30(f28(f28(a15,x4231),x4233))+P30(f28(f28(a15,f22(x4231,x4232)),f22(x4233,x4232))) % 0.46/0.70 [493]E(f28(f28(a16,x4931),x4932),x4933)+~E(f28(f28(a16,x4931),x4932),f23(a16,x4933,f20(a18),a18,a18)) % 0.46/0.70 [495]~P4(x4951)+E(f25(f5(x4951),x4952,x4953,x4951,x4951),f23(f5(x4951),x4953,x4952,x4951,x4951)) % 0.46/0.70 [521]~P30(f28(f28(a15,x5211),x5213))+P30(f28(f28(a15,f23(a16,x5211,x5212,a18,a18)),f23(a16,x5213,x5212,a18,a18))) % 0.46/0.70 [523]~P8(a15,x5232,x5233,a18)+P30(f28(f28(a15,f23(a16,x5231,x5232,a18,a18)),f23(a16,x5231,x5233,a18,a18))) % 0.46/0.70 [313]~P23(x3131)+E(f28(f28(f5(x3131),x3132),x3133),f28(f28(f5(x3131),x3133),x3132)) % 0.46/0.70 [314]~P13(x3141)+E(f28(f28(f5(x3141),x3142),x3143),f28(f28(f5(x3141),x3143),x3142)) % 0.46/0.70 [328]E(x3281,x3282)+~E(f28(f28(f5(a1),x3283),x3281),f28(f28(f5(a1),x3283),x3282)) % 0.46/0.70 [329]E(x3291,x3292)+~E(f28(f28(f5(a1),x3291),x3293),f28(f28(f5(a1),x3292),x3293)) % 0.46/0.70 [337]E(x3371,x3372)+~P30(f28(f28(f31(x3373),x3371),x3372)) % 0.46/0.70 [367]~P7(x3671,x3673,a1)+P7(x3671,f28(f28(f5(a1),x3672),x3673),a1) % 0.46/0.70 [369]~P7(x3691,x3692,a1)+P7(x3691,f28(f28(f5(a1),x3692),x3693),a1) % 0.46/0.70 [391]~P16(x3911)+E(f28(f28(f5(x3911),f6(x3912,x3913,x3911)),x3913),x3912) % 0.46/0.70 [392]P7(x3921,x3922,a1)+~P7(f28(f28(f5(a1),x3921),x3923),x3922,a1) % 0.46/0.70 [406]~P7(x4061,x4063,a1)+P7(f28(f28(f5(a1),x4061),x4062),f28(f28(f5(a1),x4063),x4062),a1) % 0.46/0.70 [407]~P7(x4072,x4073,a1)+P7(f28(f28(f5(a1),x4071),x4072),f28(f28(f5(a1),x4071),x4073),a1) % 0.46/0.70 [416]E(f28(x4161,x4162),x4163)+~P30(f28(f28(f28(a32,x4161),f3(x4162)),x4163)) % 0.46/0.70 [432]P7(x4321,f6(x4322,x4323,a1),a1)+~P7(f28(f28(f5(a1),x4321),x4323),x4322,a1) % 0.46/0.70 [434]~P7(x4341,f6(x4343,x4342,a1),a1)+P7(f28(f28(f5(a1),x4341),x4342),x4343,a1) % 0.46/0.70 [436]~P7(x4362,f28(f28(f5(a1),x4363),f12(a1)),a1)+E(f22(f22(x4361,x4362),f28(f28(f5(a1),x4363),f12(a1))),f22(f22(x4361,x4363),x4362)) % 0.46/0.70 [442]P7(x4421,x4422,a1)+~P7(f28(f28(f5(a1),x4423),x4421),f28(f28(f5(a1),x4423),x4422),a1) % 0.46/0.70 [457]P30(f28(f28(f29(a15,a18),f22(x4571,x4572)),f22(x4573,x4572)))+~P30(f28(f28(f29(a15,a18),x4571),x4573)) % 0.46/0.70 [460]~P30(f28(f28(a15,x4601),x4603))+P30(f28(f28(a15,f28(f28(a16,x4601),x4602)),f28(f28(a16,x4603),x4602))) % 0.46/0.70 [461]~P30(f28(f28(a15,x4612),x4613))+P30(f28(f28(a15,f28(f28(a16,x4611),x4612)),f28(f28(a16,x4611),x4613))) % 0.46/0.70 [464]E(f28(f28(a35,f36(x4641,x4642,x4643)),f42(x4641,x4642,x4643)),x4641)+~P30(f28(f28(f28(a32,x4642),f14(x4643)),x4641)) % 0.46/0.70 [470]~P30(f28(f28(f29(a15,a18),x4701),x4703))+P30(f28(f28(f29(a15,a18),f28(f28(a16,x4701),x4702)),f28(f28(a16,x4703),x4702))) % 0.46/0.70 [471]~P30(f28(f28(f29(a15,a18),x4712),x4713))+P30(f28(f28(f29(a15,a18),f28(f28(a16,x4711),x4712)),f28(f28(a16,x4711),x4713))) % 0.46/0.70 [499]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x4991),f4(a1)),f38(x4991,x4992))),x4992),f39(x4991,x4992)))+~P30(f28(f28(f28(a32,x4991),f14(x4992)),x4993)) % 0.46/0.70 [507]~P3(x5071)+E(f28(f28(f5(x5071),x5072),f25(f5(x5071),x5073,f4(x5071),x5071,x5071)),f23(f5(x5071),x5072,x5073,x5071,x5071)) % 0.46/0.70 [508]~P3(x5081)+E(f28(f28(f5(x5081),x5082),f23(f5(x5081),f4(x5081),x5083,x5081,x5081)),f23(f5(x5081),x5082,x5083,x5081,x5081)) % 0.46/0.70 [516]P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5161),f4(a1)),f36(x5162,x5161,x5163))),x5163),f42(x5162,x5161,x5163)))+~P30(f28(f28(f28(a32,x5161),f14(x5163)),x5162)) % 0.46/0.70 [522]P30(f28(f28(f29(a15,a18),f23(a16,x5221,x5222,a18,a18)),f23(a16,x5223,x5222,a18,a18)))+~P30(f28(f28(f29(a15,a18),x5221),x5223)) % 0.46/0.70 [333]~P16(x3331)+E(f6(f28(f28(f5(x3331),x3332),x3333),x3333,x3331),x3332) % 0.46/0.70 [355]~P7(x3551,x3553,a1)+E(f28(f28(f28(a21,f3(x3551)),x3552),x3553),f3(x3551)) % 0.46/0.70 [379]~P29(x3791)+E(f28(f28(f5(x3791),f27(x3792,x3791)),f27(x3793,x3791)),f27(f28(f28(f5(a1),x3792),x3793),x3791)) % 0.46/0.70 [401]~P7(x4013,x4011,a1)+E(f28(f28(f28(a21,f3(x4011)),x4012),x4013),f3(f6(x4011,f12(a1),a1))) % 0.46/0.70 [451]~P30(f28(a13,x4511))+P30(f28(a13,f28(f28(f28(a21,x4511),f3(x4512)),x4513))) % 0.46/0.70 [524]P8(a15,x5241,f24(x5242,x5241,x5243),a18)+~P30(f28(f28(a15,f23(a16,f3(x5242),x5241,a18,a18)),x5243)) % 0.46/0.70 [528]E(f23(a16,f3(x5281),f24(x5281,x5282,x5283),a18,a18),x5283)+~P30(f28(f28(a15,f23(a16,f3(x5281),x5282,a18,a18)),x5283)) % 0.46/0.70 [475]P30(f28(x4751,x4752))+~P30(f28(x4751,f6(f28(f28(f5(a1),x4753),x4752),x4753,a1))) % 0.46/0.70 [316]E(x3161,x3162)+~E(f28(f28(a16,x3163),x3161),f28(f28(a16,x3164),x3162)) % 0.46/0.70 [317]E(x3171,x3172)+~E(f28(f28(a35,x3173),x3171),f28(f28(a35,x3174),x3172)) % 0.46/0.70 [318]E(x3181,x3182)+~E(f28(f28(a16,x3181),x3183),f28(f28(a16,x3182),x3184)) % 0.46/0.70 [319]E(x3191,x3192)+~E(f28(f28(a35,x3191),x3193),f28(f28(a35,x3192),x3194)) % 0.46/0.70 [511]E(x5111,x5112)+~E(f23(a16,f3(x5113),x5111,a18,a18),f23(a16,f3(x5114),x5112,a18,a18)) % 0.46/0.70 [512]E(x5121,x5122)+~E(f23(a16,f14(x5123),x5121,a18,a18),f23(a16,f14(x5124),x5122,a18,a18)) % 0.46/0.70 [513]E(x5131,x5132)+~E(f23(a16,f3(x5131),x5133,a18,a18),f23(a16,f3(x5132),x5134,a18,a18)) % 0.46/0.70 [514]E(x5141,x5142)+~E(f23(a16,f14(x5141),x5143,a18,a18),f23(a16,f14(x5142),x5144,a18,a18)) % 0.46/0.70 [402]~P30(f28(f28(x4021,x4023),x4024))+P30(f28(f28(f29(x4021,x4022),x4023),x4024)) % 0.46/0.70 [525]P11(x5251,x5252,f40(x5253,x5251,x5254,x5252))+~P30(f28(f28(f28(a32,x5251),f23(a16,x5254,x5252,a18,a18)),x5253)) % 0.46/0.70 [526]P11(x5261,x5262,f41(x5263,x5261,x5264,x5262))+~P30(f28(f28(f28(a32,x5261),f23(a16,x5264,x5262,a18,a18)),x5263)) % 0.46/0.70 [530]~P30(f28(f28(f28(a32,x5301),f23(a16,x5302,x5304,a18,a18)),x5303))+P30(f28(f28(f28(a32,x5301),x5302),f25(a35,f40(x5303,x5301,x5302,x5304),x5303,a47,a47))) % 0.46/0.70 [531]~P30(f28(f28(f28(a32,x5311),f23(a16,x5312,x5314,a18,a18)),x5313))+P30(f28(f28(f28(a32,x5311),x5312),f25(a35,f41(x5313,x5311,x5312,x5314),x5313,a47,a47))) % 0.46/0.70 [403]~P12(x4031)+E(f28(f28(f5(x4031),x4032),f28(f28(f5(x4031),x4033),x4034)),f28(f28(f5(x4031),x4033),f28(f28(f5(x4031),x4032),x4034))) % 0.46/0.70 [404]~P23(x4041)+E(f28(f28(f5(x4041),x4042),f28(f28(f5(x4041),x4043),x4044)),f28(f28(f5(x4041),x4043),f28(f28(f5(x4041),x4042),x4044))) % 0.46/0.70 [405]~P13(x4051)+E(f28(f28(f5(x4051),x4052),f28(f28(f5(x4051),x4053),x4054)),f28(f28(f5(x4051),x4053),f28(f28(f5(x4051),x4052),x4054))) % 0.46/0.70 [467]~P7(x4672,f28(f28(f5(a1),x4674),f12(a1)),a1)+E(f28(f28(f28(a21,f22(x4671,x4672)),f22(x4673,x4672)),f28(f28(f5(a1),x4674),f12(a1))),f22(f28(f28(f28(a21,x4671),x4673),x4674),x4672)) % 0.46/0.70 [478]~P30(f28(f28(a15,x4781),x4784))+P30(f28(f28(a15,f28(f28(f28(a21,x4781),x4782),x4783)),f28(f28(f28(a21,x4784),x4782),x4783))) % 0.46/0.70 [480]~P30(f28(f28(a15,x4802),x4804))+P30(f28(f28(f29(a15,a18),f28(f28(f28(a21,x4801),x4802),x4803)),f28(f28(f28(a21,x4801),x4804),x4803))) % 0.46/0.70 [481]~P30(f28(f28(f29(x4811,x4812),x4814),x4813))+P30(f28(f28(f29(f30(x4811,x4812,x4812),x4812),x4813),x4814)) % 0.46/0.70 [482]~P7(x4824,f28(f28(f5(a1),x4822),f12(a1)),a1)+E(f28(f28(f28(a21,f22(x4821,f28(f28(f5(a1),x4822),f12(a1)))),f22(x4823,x4822)),x4824),f22(f28(f28(f28(a21,x4821),x4823),x4824),x4822)) % 0.46/0.70 [483]~P30(f28(f28(f29(a15,a18),x4831),x4834))+P30(f28(f28(f29(a15,a18),f28(f28(f28(a21,x4831),x4832),x4833)),f28(f28(f28(a21,x4834),x4832),x4833))) % 0.46/0.70 [484]~P30(f28(f28(f29(a15,a18),x4842),x4844))+P30(f28(f28(f29(a15,a18),f28(f28(f28(a21,x4841),x4842),x4843)),f28(f28(f28(a21,x4841),x4844),x4843))) % 0.46/0.70 [485]P30(f28(f28(f29(x4851,x4852),x4853),x4854))+~P30(f28(f28(f29(f30(x4851,x4852,x4852),x4852),x4854),x4853)) % 0.46/0.70 [486]P30(f28(f28(f28(a32,x4861),x4862),f37(x4863,x4861,x4864,x4862)))+~P30(f28(f28(f28(a32,x4861),f28(f28(a16,x4864),x4862)),x4863)) % 0.46/0.70 [510]~P22(x5101)+E(f23(f5(x5101),f28(f28(f5(x5101),x5102),x5103),x5104,x5101,x5101),f28(f28(f5(x5101),x5102),f23(f5(x5101),x5103,x5104,x5101,x5101))) % 0.46/0.70 [518]~P30(f28(f28(f28(a32,x5181),f28(f28(a16,x5182),x5184)),x5183))+P30(f28(f28(f28(a32,x5181),x5182),f28(f28(a35,f37(x5183,x5181,x5182,x5184)),x5183))) % 0.46/0.70 [527]P11(x5271,x5272,f43(x5273,x5271,x5274,x5272))+~P30(f28(f28(f28(a32,x5271),f23(a16,f3(x5274),x5272,a18,a18)),x5273)) % 0.46/0.70 [532]P30(f28(f28(f28(a32,x5321),f3(x5322)),f25(a35,f43(x5323,x5321,x5322,x5324),x5323,a47,a47)))+~P30(f28(f28(f28(a32,x5321),f23(a16,f3(x5322),x5324,a18,a18)),x5323)) % 0.46/0.70 [439]~P4(x4391)+E(f28(f28(f5(x4391),f28(f28(f5(x4391),x4392),x4393)),x4394),f28(f28(f5(x4391),x4392),f28(f28(f5(x4391),x4393),x4394))) % 0.46/0.70 [440]~P23(x4401)+E(f28(f28(f5(x4401),f28(f28(f5(x4401),x4402),x4403)),x4404),f28(f28(f5(x4401),x4402),f28(f28(f5(x4401),x4403),x4404))) % 0.46/0.70 [441]~P13(x4411)+E(f28(f28(f5(x4411),f28(f28(f5(x4411),x4412),x4413)),x4414),f28(f28(f5(x4411),x4412),f28(f28(f5(x4411),x4413),x4414))) % 0.46/0.70 [455]~P23(x4551)+E(f28(f28(f5(x4551),f28(f28(f5(x4551),x4552),x4553)),x4554),f28(f28(f5(x4551),f28(f28(f5(x4551),x4552),x4554)),x4553)) % 0.46/0.70 [501]P30(f28(f28(f28(a32,x5011),f14(x5012)),f28(f28(a35,x5013),x5014)))+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5011),f4(a1)),x5013)),x5012),x5014)) % 0.46/0.70 [463]~P30(f28(f28(x4631,x4635),x4634))+P30(f28(f28(f30(x4631,x4632,x4633),x4634),x4635)) % 0.46/0.70 [473]P30(f28(f28(x4731,x4732),x4733))+~P30(f28(f28(f30(x4731,x4734,x4735),x4733),x4732)) % 0.46/0.70 [494]~P30(f28(f28(f28(a32,x4941),x4944),x4945))+P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x4941),x4942),x4943)),f22(x4944,x4942)),x4945)) % 0.46/0.70 [466]~P23(x4661)+E(f28(f28(f5(x4661),f28(f28(f5(x4661),x4662),x4663)),f28(f28(f5(x4661),x4664),x4665)),f28(f28(f5(x4661),f28(f28(f5(x4661),x4662),x4664)),f28(f28(f5(x4661),x4663),x4665))) % 0.46/0.70 [420]~P7(x4205,x4203,a1)+E(f28(f28(f28(f28(f33(x4201),x4202),x4203),x4204),x4205),f28(x4202,x4205)) % 0.46/0.70 [449]~P7(x4493,x4495,a1)+E(f28(f28(f28(f28(f33(x4491),x4492),x4493),x4494),x4495),f28(x4492,f6(x4495,f12(a1),a1))) % 0.46/0.70 [500]~P7(x5003,f28(f28(f5(a1),x5004),f12(a1)),a1)+E(f28(f28(f28(a21,f28(f28(f28(a21,x5001),f22(x5002,x5003)),f28(f28(f5(a1),x5004),f12(a1)))),f28(f28(f28(a21,x5005),x5002),x5004)),x5003),f28(f28(f28(a21,f28(f28(f28(a21,x5001),x5005),x5003)),x5002),x5004)) % 0.46/0.70 [311]E(x3111,x3112)+P7(x3112,x3111,a1)+P7(x3111,x3112,a1) % 0.46/0.70 [292]~P27(x2922)+~P9(x2922)+E(f6(x2921,x2921,x2922),f4(x2922)) % 0.46/0.70 [343]E(x3431,x3432)+~E(f6(x3432,x3431,a1),f4(a1))+~E(f6(x3431,x3432,a1),f4(a1)) % 0.46/0.70 [351]~P20(x3511)+P7(f4(x3511),f27(x3512,x3511),x3511)+~P7(f4(a1),x3512,a1) % 0.46/0.70 [356]~P20(x3562)+~P7(f4(x3562),f27(x3561,x3562),x3562)+P7(f4(a1),x3561,a1) % 0.46/0.70 [419]P7(f6(x4191,x4192,a1),x4191,a1)+~P7(f4(a1),x4192,a1)+~P7(f4(a1),x4191,a1) % 0.46/0.70 [293]~P27(x2931)+~P9(x2931)+E(f28(f28(f5(x2931),x2932),f4(x2931)),x2932) % 0.46/0.70 [394]~P7(x3941,x3942,a1)+P7(f28(f28(f5(a1),x3941),f12(a1)),x3942,a1)+E(f28(f28(f5(a1),x3941),f12(a1)),x3942) % 0.46/0.70 [396]E(x3961,x3962)+P7(x3962,x3961,a1)+~P7(x3962,f28(f28(f5(a1),x3961),f12(a1)),a1) % 0.46/0.70 [398]E(x3981,x3982)+P7(x3981,x3982,a1)+~P7(x3981,f28(f28(f5(a1),x3982),f12(a1)),a1) % 0.46/0.70 [304]~P17(x3042)+E(x3041,f4(x3042))+~E(f28(f28(f5(x3042),x3041),x3041),f4(x3042)) % 0.46/0.70 [334]E(x3341,f4(a1))+E(x3342,f4(a1))+~E(f28(f28(f5(a1),x3342),x3341),f28(f28(f5(a1),f4(a1)),f12(a1))) % 0.46/0.70 [335]E(x3351,f4(a1))+E(x3352,f4(a1))+~E(f28(f28(f5(a1),f4(a1)),f12(a1)),f28(f28(f5(a1),x3352),x3351)) % 0.46/0.70 [362]E(x3621,f4(a1))+E(x3621,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),x3622),x3621),f28(f28(f5(a1),f4(a1)),f12(a1))) % 0.46/0.70 [363]E(x3631,f4(a1))+E(x3631,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),x3631),x3632),f28(f28(f5(a1),f4(a1)),f12(a1))) % 0.46/0.70 [364]E(x3641,f4(a1))+E(x3641,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),f4(a1)),f12(a1)),f28(f28(f5(a1),x3642),x3641)) % 0.46/0.70 [365]E(x3651,f4(a1))+E(x3651,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),f4(a1)),f12(a1)),f28(f28(f5(a1),x3651),x3652)) % 0.46/0.70 [384]~P17(x3841)+~P7(f4(x3841),x3842,x3841)+P7(f4(x3841),f28(f28(f5(x3841),x3842),x3842),x3841) % 0.46/0.70 [385]~P17(x3851)+~P7(x3852,f4(x3851),x3851)+P7(f28(f28(f5(x3851),x3852),x3852),f4(x3851),x3851) % 0.46/0.70 [386]~P28(x3861)+~P7(x3862,f4(x3861),x3861)+P7(f28(f28(f5(x3861),x3862),x3862),f4(x3861),x3861) % 0.46/0.70 [389]E(x3891,f28(f28(f5(a1),f4(a1)),f12(a1)))+E(x3892,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),x3892),x3891),f28(f28(f5(a1),f4(a1)),f12(a1))) % 0.46/0.70 [390]E(x3901,f28(f28(f5(a1),f4(a1)),f12(a1)))+E(x3902,f28(f28(f5(a1),f4(a1)),f12(a1)))+~E(f28(f28(f5(a1),f4(a1)),f12(a1)),f28(f28(f5(a1),x3902),x3901)) % 0.46/0.70 [412]~P17(x4122)+P7(x4121,f4(x4122),x4122)+~P7(f28(f28(f5(x4122),x4121),x4121),f4(x4122),x4122) % 0.46/0.70 [413]~P28(x4132)+P7(x4131,f4(x4132),x4132)+~P7(f28(f28(f5(x4132),x4131),x4131),f4(x4132),x4132) % 0.46/0.70 [414]~P17(x4141)+P7(f4(x4141),x4142,x4141)+~P7(f4(x4141),f28(f28(f5(x4141),x4142),x4142),x4141) % 0.46/0.70 [421]P7(f4(a1),x4211,a1)+P7(f4(a1),x4212,a1)+~P7(f4(a1),f28(f28(f5(a1),x4211),x4212),a1) % 0.46/0.70 [344]~P7(x3443,x3442,x3441)+~P24(x3441)+~P7(x3442,x3443,x3441) % 0.46/0.70 [346]~P7(x3463,x3462,x3461)+~P26(x3461)+~P7(x3462,x3463,x3461) % 0.46/0.70 [347]~P7(x3473,x3472,x3471)+~P25(x3471)+~P7(x3472,x3473,x3471) % 0.46/0.70 [279]~P5(x2793)+E(x2791,x2792)+~E(f27(x2791,x2793),f27(x2792,x2793)) % 0.46/0.70 [305]~P16(x3053)+E(x3051,x3052)+~E(f6(x3051,x3052,x3053),f4(x3053)) % 0.46/0.70 [306]~P12(x3063)+E(x3061,x3062)+~E(f6(x3061,x3062,x3063),f4(x3063)) % 0.46/0.70 [354]~P20(x3542)+~P7(x3541,x3543,a1)+P7(f27(x3541,x3542),f27(x3543,x3542),x3542) % 0.46/0.70 [370]~P20(x3703)+~P7(f27(x3701,x3703),f27(x3702,x3703),x3703)+P7(x3701,x3702,a1) % 0.46/0.70 [382]~P19(x3823)+~P7(x3821,x3822,x3823)+P7(f6(x3821,x3822,x3823),f4(x3823),x3823) % 0.46/0.70 [415]~P19(x4153)+P7(x4151,x4152,x4153)+~P7(f6(x4151,x4152,x4153),f4(x4153),x4153) % 0.46/0.70 [443]~P7(x4433,x4432,a1)+~P7(x4433,x4431,a1)+P7(f6(x4431,x4432,a1),f6(x4431,x4433,a1),a1) % 0.46/0.70 [408]~P7(x4081,x4083,a1)+~P7(x4083,x4082,a1)+P7(f28(f28(f5(a1),x4081),f12(a1)),x4082,a1) % 0.46/0.70 [454]~P7(x4542,x4543,a1)+~P30(f28(x4541,f6(x4542,x4543,a1)))+P30(f28(x4541,f4(a1))) % 0.46/0.70 [336]E(x3361,x3362)+P7(x3362,x3361,a1)+E(f28(f28(f28(a21,f3(x3361)),x3363),x3362),f3(x3361)) % 0.46/0.70 [519]~P10(f30(a15,a18,a18),x5192,a18)+~P10(f30(a15,a18,a18),f23(a16,f28(f28(f28(a21,x5191),x5192),f4(a1)),x5193,a18,a18),a18)+P10(f30(a15,a18,a18),f23(a16,f28(f28(a16,f14(x5191)),x5192),x5193,a18,a18),a18) % 0.46/0.70 [520]~P30(f28(a13,x5202))+~P30(f28(a13,f23(a16,f28(f28(f28(a21,x5201),x5202),f4(a1)),x5203,a18,a18)))+P30(f28(a13,f23(a16,f28(f28(a16,f14(x5201)),x5202),x5203,a18,a18))) % 0.46/0.70 [348]~P12(x3484)+E(x3481,x3482)+~E(f6(x3483,x3483,x3484),f6(x3481,x3482,x3484)) % 0.46/0.70 [349]~P12(x3493)+E(x3491,x3492)+~E(f6(x3491,x3492,x3493),f6(x3494,x3494,x3493)) % 0.46/0.70 [388]P10(x3881,x3882,x3883)+~P10(x3881,x3884,x3883)+~P30(f28(f28(x3881,x3882),x3884)) % 0.46/0.70 [338]~P14(x3383)+E(x3381,x3382)+~E(f28(f28(f5(x3383),x3384),x3381),f28(f28(f5(x3383),x3384),x3382)) % 0.46/0.70 [339]~P15(x3393)+E(x3391,x3392)+~E(f28(f28(f5(x3393),x3394),x3391),f28(f28(f5(x3393),x3394),x3392)) % 0.46/0.70 [340]~P15(x3403)+E(x3401,x3402)+~E(f28(f28(f5(x3403),x3401),x3404),f28(f28(f5(x3403),x3402),x3404)) % 0.46/0.70 [393]~P7(x3934,x3933,a1)+P7(x3931,x3932,a1)+~E(f28(f28(f5(a1),x3931),x3933),f28(f28(f5(a1),x3934),x3932)) % 0.46/0.70 [424]~P2(x4241)+~P7(x4242,x4244,x4241)+P7(f28(f28(f5(x4241),x4242),x4243),f28(f28(f5(x4241),x4244),x4243),x4241) % 0.46/0.70 [425]~P18(x4251)+~P7(x4252,x4254,x4251)+P7(f28(f28(f5(x4251),x4252),x4253),f28(f28(f5(x4251),x4254),x4253),x4251) % 0.46/0.70 [426]~P2(x4261)+~P7(x4263,x4264,x4261)+P7(f28(f28(f5(x4261),x4262),x4263),f28(f28(f5(x4261),x4262),x4264),x4261) % 0.46/0.70 [427]~P18(x4271)+~P7(x4273,x4274,x4271)+P7(f28(f28(f5(x4271),x4272),x4273),f28(f28(f5(x4271),x4272),x4274),x4271) % 0.46/0.70 [435]~P7(x4352,x4354,a1)+~P7(x4351,x4353,a1)+P7(f28(f28(f5(a1),x4351),x4352),f28(f28(f5(a1),x4353),x4354),a1) % 0.46/0.70 [445]P10(x4451,x4452,x4453)+~P10(x4451,x4454,x4453)+~P30(f28(f28(f29(x4451,x4453),x4452),x4454)) % 0.46/0.70 [452]~P18(x4523)+P7(x4521,x4522,x4523)+~P7(f28(f28(f5(x4523),x4524),x4521),f28(f28(f5(x4523),x4524),x4522),x4523) % 0.46/0.70 [453]~P18(x4533)+P7(x4531,x4532,x4533)+~P7(f28(f28(f5(x4533),x4531),x4534),f28(f28(f5(x4533),x4532),x4534),x4533) % 0.46/0.70 [456]~P30(f28(f28(a15,x4564),x4562))+~P30(f28(f28(f28(a32,x4561),x4564),x4563))+P30(f28(f28(f28(a32,x4561),x4562),x4563)) % 0.46/0.70 [465]~P30(f28(f28(f29(a15,a18),x4654),x4652))+~P30(f28(f28(f28(a32,x4651),x4654),x4653))+P30(f28(f28(f28(a32,x4651),x4652),x4653)) % 0.46/0.70 [476]~P30(f28(f28(f29(a15,a18),x4761),x4763))+~P30(f28(f28(f29(a15,a18),x4762),x4764))+P30(f28(f28(f29(a15,a18),f28(f28(a16,x4761),x4762)),f28(f28(a16,x4763),x4764))) % 0.46/0.70 [458]~P30(f28(f28(x4581,x4585),x4584))+~P30(f28(f28(f29(x4581,x4582),x4583),x4585))+P30(f28(f28(f29(x4581,x4582),x4583),x4584)) % 0.46/0.70 [459]~P30(f28(f28(x4591,x4593),x4595))+~P30(f28(f28(f29(x4591,x4592),x4595),x4594))+P30(f28(f28(f29(x4591,x4592),x4593),x4594)) % 0.46/0.70 [468]~P30(f28(f28(f29(x4681,x4682),x4683),x4685))+P30(f28(f28(f29(x4681,x4682),x4683),x4684))+~P30(f28(f28(f29(x4681,x4682),x4685),x4684)) % 0.46/0.70 [529]~P11(x5291,x5293,x5295)+~P30(f28(f28(f28(a32,x5291),x5292),f25(a35,x5295,x5294,a47,a47)))+P30(f28(f28(f28(a32,x5291),f23(a16,x5292,x5293,a18,a18)),x5294)) % 0.46/0.70 [433]~P12(x4331)+E(f28(f28(f5(x4331),x4332),x4333),x4334)+~E(f28(f28(f5(x4331),x4332),f28(f28(f5(x4331),x4335),x4333)),f28(f28(f5(x4331),x4335),x4334)) % 0.46/0.70 [479]~P30(f28(f28(f28(a32,x4791),x4793),x4795))+~P30(f28(f28(f28(a32,x4791),x4792),f28(f28(a35,x4795),x4794)))+P30(f28(f28(f28(a32,x4791),f28(f28(a16,x4792),x4793)),x4794)) % 0.46/0.70 [533]E(x5331,x5332)+~P30(f28(f28(f28(a32,x5333),f23(a16,f3(x5334),x5335,a18,a18)),x5331))+~P30(f28(f28(f28(a32,x5333),f23(a16,f3(x5334),x5335,a18,a18)),x5332)) % 0.46/0.70 [515]~P30(f28(f28(f28(a32,x5151),x5153),x5156))+P30(f28(f28(f28(a32,x5151),f28(f28(f28(a21,x5152),x5153),x5154)),x5155))+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5151),x5154),x5156)),x5152),x5155)) % 0.46/0.70 [320]P7(x3201,x3202,x3203)+~P28(x3203)+E(x3201,x3202)+P7(x3202,x3201,x3203) % 0.46/0.70 [324]P7(x3241,x3242,x3243)+~P25(x3243)+E(x3241,x3242)+P7(x3242,x3241,x3243) % 0.46/0.70 [309]~P27(x3093)+~P9(x3093)+E(x3091,x3092)+~E(f6(x3091,x3092,x3093),f4(x3093)) % 0.46/0.70 [307]~P27(x3072)+~P9(x3072)+E(x3071,f4(x3072))+~E(f28(f28(f5(x3072),x3073),x3071),x3073) % 0.46/0.70 [430]~P21(x4301)+~P7(f4(x4301),x4303,x4301)+~P7(f4(x4301),x4302,x4301)+P7(f4(x4301),f28(f28(f5(x4301),x4302),x4303),x4301) % 0.46/0.70 [431]~P21(x4311)+~P7(x4313,f4(x4311),x4311)+~P7(x4312,f4(x4311),x4311)+P7(f28(f28(f5(x4311),x4312),x4313),f4(x4311),x4311) % 0.46/0.70 [373]~P24(x3733)+~P7(x3731,x3734,x3733)+P7(x3731,x3732,x3733)+~P7(x3734,x3732,x3733) % 0.46/0.70 [374]~P26(x3743)+~P7(x3741,x3744,x3743)+P7(x3741,x3742,x3743)+~P7(x3744,x3742,x3743) % 0.46/0.70 [350]~P27(x3503)+~P9(x3503)+E(x3501,x3502)+~E(f28(f28(f5(x3503),x3504),x3501),f28(f28(f5(x3503),x3504),x3502)) % 0.46/0.70 [422]~P20(x4222)+~P7(x4221,x4224,x4222)+~P7(f4(x4222),x4223,x4222)+P7(x4221,f28(f28(f5(x4222),x4223),x4224),x4222) % 0.46/0.70 [504]~P30(f28(a13,x5041))+~P30(f28(f28(f28(a32,x5043),x5041),a51))+P30(f28(a13,f28(f28(f28(a21,a55),x5041),x5042)))+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5043),x5042),a51)),a55),x5044)) % 0.46/0.70 [410]~P19(x4103)+~P7(x4104,x4105,x4103)+P7(x4101,x4102,x4103)+~E(f6(x4104,x4105,x4103),f6(x4101,x4102,x4103)) % 0.46/0.70 [411]~P19(x4113)+~P7(x4114,x4115,x4113)+P7(x4111,x4112,x4113)+~E(f6(x4111,x4112,x4113),f6(x4114,x4115,x4113)) % 0.46/0.70 [447]~P2(x4471)+~P7(x4473,x4475,x4471)+~P7(x4472,x4474,x4471)+P7(f28(f28(f5(x4471),x4472),x4473),f28(f28(f5(x4471),x4474),x4475),x4471) % 0.46/0.70 [534]~P11(x5341,x5345,x5346)+P11(x5341,x5342,f44(x5343,x5344,x5341,x5342))+~P30(f28(f28(f28(a32,x5341),f23(a16,f3(x5347),x5345,a18,a18)),x5344))+~P30(f28(f28(f28(a32,x5341),f23(a16,f23(a16,f3(x5347),x5345,a18,a18),x5342,a18,a18)),x5343)) % 0.46/0.70 [535]~P11(x5353,x5355,x5356)+E(f25(a35,f44(x5351,x5352,x5353,x5354),x5351,a47,a47),x5352)+~P30(f28(f28(f28(a32,x5353),f23(a16,f3(x5357),x5355,a18,a18)),x5352))+~P30(f28(f28(f28(a32,x5353),f23(a16,f23(a16,f3(x5357),x5355,a18,a18),x5354,a18,a18)),x5351)) % 0.46/0.70 [505]~P30(f28(a13,x5052))+~P30(f28(a13,x5051))+~E(f28(f28(a35,x5054),x5055),a51)+~P30(f28(f28(f28(a32,x5056),x5052),x5055))+P30(f28(a13,f28(f28(f28(a21,x5051),x5052),x5053)))+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5056),x5053),x5055)),x5051),x5057)) % 0.46/0.70 [506]~P30(f28(a13,x5062))+~P30(f28(a13,x5061))+~E(f28(f28(a35,x5064),x5065),a51)+~P30(f28(f28(f28(a32,x5066),x5062),x5064))+P30(f28(a13,f28(f28(f28(a21,x5061),x5062),x5063)))+~P30(f28(f28(f28(a32,f28(f28(f28(f33(a47),x5066),x5063),x5064)),x5061),x5067)) % 0.46/0.70 %EqnAxiom % 0.46/0.70 [1]E(x11,x11) % 0.46/0.70 [2]E(x22,x21)+~E(x21,x22) % 0.46/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.46/0.70 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.46/0.70 [5]~E(x51,x52)+E(f17(x51),f17(x52)) % 0.46/0.70 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.46/0.70 [7]~E(x71,x72)+E(f28(x71,x73),f28(x72,x73)) % 0.46/0.70 [8]~E(x81,x82)+E(f28(x83,x81),f28(x83,x82)) % 0.46/0.70 [9]~E(x91,x92)+E(f19(x91,x93),f19(x92,x93)) % 0.46/0.70 [10]~E(x101,x102)+E(f19(x103,x101),f19(x103,x102)) % 0.46/0.70 [11]~E(x111,x112)+E(f5(x111),f5(x112)) % 0.46/0.70 [12]~E(x121,x122)+E(f25(x121,x123,x124,x125,x126),f25(x122,x123,x124,x125,x126)) % 0.46/0.70 [13]~E(x131,x132)+E(f25(x133,x131,x134,x135,x136),f25(x133,x132,x134,x135,x136)) % 0.46/0.70 [14]~E(x141,x142)+E(f25(x143,x144,x141,x145,x146),f25(x143,x144,x142,x145,x146)) % 0.46/0.70 [15]~E(x151,x152)+E(f25(x153,x154,x155,x151,x156),f25(x153,x154,x155,x152,x156)) % 0.46/0.70 [16]~E(x161,x162)+E(f25(x163,x164,x165,x166,x161),f25(x163,x164,x165,x166,x162)) % 0.46/0.70 [17]~E(x171,x172)+E(f23(x171,x173,x174,x175,x176),f23(x172,x173,x174,x175,x176)) % 0.46/0.70 [18]~E(x181,x182)+E(f23(x183,x181,x184,x185,x186),f23(x183,x182,x184,x185,x186)) % 0.46/0.70 [19]~E(x191,x192)+E(f23(x193,x194,x191,x195,x196),f23(x193,x194,x192,x195,x196)) % 0.46/0.70 [20]~E(x201,x202)+E(f23(x203,x204,x205,x201,x206),f23(x203,x204,x205,x202,x206)) % 0.46/0.70 [21]~E(x211,x212)+E(f23(x213,x214,x215,x216,x211),f23(x213,x214,x215,x216,x212)) % 0.46/0.70 [22]~E(x221,x222)+E(f14(x221),f14(x222)) % 0.46/0.70 [23]~E(x231,x232)+E(f48(x231,x233),f48(x232,x233)) % 0.46/0.70 [24]~E(x241,x242)+E(f48(x243,x241),f48(x243,x242)) % 0.46/0.70 [25]~E(x251,x252)+E(f12(x251),f12(x252)) % 0.46/0.70 [26]~E(x261,x262)+E(f33(x261),f33(x262)) % 0.46/0.70 [27]~E(x271,x272)+E(f8(x271,x273,x274),f8(x272,x273,x274)) % 0.46/0.70 [28]~E(x281,x282)+E(f8(x283,x281,x284),f8(x283,x282,x284)) % 0.46/0.70 [29]~E(x291,x292)+E(f8(x293,x294,x291),f8(x293,x294,x292)) % 0.46/0.70 [30]~E(x301,x302)+E(f7(x301,x303,x304),f7(x302,x303,x304)) % 0.46/0.70 [31]~E(x311,x312)+E(f7(x313,x311,x314),f7(x313,x312,x314)) % 0.46/0.70 [32]~E(x321,x322)+E(f7(x323,x324,x321),f7(x323,x324,x322)) % 0.46/0.70 [33]~E(x331,x332)+E(f30(x331,x333,x334),f30(x332,x333,x334)) % 0.46/0.70 [34]~E(x341,x342)+E(f30(x343,x341,x344),f30(x343,x342,x344)) % 0.46/0.70 [35]~E(x351,x352)+E(f30(x353,x354,x351),f30(x353,x354,x352)) % 0.46/0.70 [36]~E(x361,x362)+E(f6(x361,x363,x364),f6(x362,x363,x364)) % 0.46/0.70 [37]~E(x371,x372)+E(f6(x373,x371,x374),f6(x373,x372,x374)) % 0.46/0.70 [38]~E(x381,x382)+E(f6(x383,x384,x381),f6(x383,x384,x382)) % 0.46/0.70 [39]~E(x391,x392)+E(f58(x391,x393,x394,x395),f58(x392,x393,x394,x395)) % 0.46/0.70 [40]~E(x401,x402)+E(f58(x403,x401,x404,x405),f58(x403,x402,x404,x405)) % 0.46/0.70 [41]~E(x411,x412)+E(f58(x413,x414,x411,x415),f58(x413,x414,x412,x415)) % 0.46/0.70 [42]~E(x421,x422)+E(f58(x423,x424,x425,x421),f58(x423,x424,x425,x422)) % 0.46/0.70 [43]~E(x431,x432)+E(f22(x431,x433),f22(x432,x433)) % 0.46/0.70 [44]~E(x441,x442)+E(f22(x443,x441),f22(x443,x442)) % 0.46/0.70 [45]~E(x451,x452)+E(f40(x451,x453,x454,x455),f40(x452,x453,x454,x455)) % 0.46/0.70 [46]~E(x461,x462)+E(f40(x463,x461,x464,x465),f40(x463,x462,x464,x465)) % 0.46/0.70 [47]~E(x471,x472)+E(f40(x473,x474,x471,x475),f40(x473,x474,x472,x475)) % 0.46/0.70 [48]~E(x481,x482)+E(f40(x483,x484,x485,x481),f40(x483,x484,x485,x482)) % 0.46/0.70 [49]~E(x491,x492)+E(f27(x491,x493),f27(x492,x493)) % 0.46/0.70 [50]~E(x501,x502)+E(f27(x503,x501),f27(x503,x502)) % 0.46/0.70 [51]~E(x511,x512)+E(f59(x511,x513,x514,x515),f59(x512,x513,x514,x515)) % 0.46/0.70 [52]~E(x521,x522)+E(f59(x523,x521,x524,x525),f59(x523,x522,x524,x525)) % 0.46/0.70 [53]~E(x531,x532)+E(f59(x533,x534,x531,x535),f59(x533,x534,x532,x535)) % 0.46/0.70 [54]~E(x541,x542)+E(f59(x543,x544,x545,x541),f59(x543,x544,x545,x542)) % 0.46/0.70 [55]~E(x551,x552)+E(f41(x551,x553,x554,x555),f41(x552,x553,x554,x555)) % 0.46/0.70 [56]~E(x561,x562)+E(f41(x563,x561,x564,x565),f41(x563,x562,x564,x565)) % 0.46/0.70 [57]~E(x571,x572)+E(f41(x573,x574,x571,x575),f41(x573,x574,x572,x575)) % 0.46/0.70 [58]~E(x581,x582)+E(f41(x583,x584,x585,x581),f41(x583,x584,x585,x582)) % 0.46/0.70 [59]~E(x591,x592)+E(f29(x591,x593),f29(x592,x593)) % 0.46/0.70 [60]~E(x601,x602)+E(f29(x603,x601),f29(x603,x602)) % 0.46/0.70 [61]~E(x611,x612)+E(f10(x611,x613,x614),f10(x612,x613,x614)) % 0.46/0.70 [62]~E(x621,x622)+E(f10(x623,x621,x624),f10(x623,x622,x624)) % 0.46/0.70 [63]~E(x631,x632)+E(f10(x633,x634,x631),f10(x633,x634,x632)) % 0.46/0.70 [64]~E(x641,x642)+E(f37(x641,x643,x644,x645),f37(x642,x643,x644,x645)) % 0.46/0.70 [65]~E(x651,x652)+E(f37(x653,x651,x654,x655),f37(x653,x652,x654,x655)) % 0.46/0.70 [66]~E(x661,x662)+E(f37(x663,x664,x661,x665),f37(x663,x664,x662,x665)) % 0.46/0.70 [67]~E(x671,x672)+E(f37(x673,x674,x675,x671),f37(x673,x674,x675,x672)) % 0.46/0.70 [68]~E(x681,x682)+E(f20(x681),f20(x682)) % 0.46/0.70 [69]~E(x691,x692)+E(f31(x691),f31(x692)) % 0.46/0.70 [70]~E(x701,x702)+E(f43(x701,x703,x704,x705),f43(x702,x703,x704,x705)) % 0.46/0.70 [71]~E(x711,x712)+E(f43(x713,x711,x714,x715),f43(x713,x712,x714,x715)) % 0.46/0.70 [72]~E(x721,x722)+E(f43(x723,x724,x721,x725),f43(x723,x724,x722,x725)) % 0.46/0.70 [73]~E(x731,x732)+E(f43(x733,x734,x735,x731),f43(x733,x734,x735,x732)) % 0.46/0.70 [74]~E(x741,x742)+E(f9(x741),f9(x742)) % 0.46/0.70 [75]~E(x751,x752)+E(f63(x751,x753,x754,x755),f63(x752,x753,x754,x755)) % 0.46/0.70 [76]~E(x761,x762)+E(f63(x763,x761,x764,x765),f63(x763,x762,x764,x765)) % 0.46/0.70 [77]~E(x771,x772)+E(f63(x773,x774,x771,x775),f63(x773,x774,x772,x775)) % 0.46/0.70 [78]~E(x781,x782)+E(f63(x783,x784,x785,x781),f63(x783,x784,x785,x782)) % 0.46/0.70 [79]~E(x791,x792)+E(f44(x791,x793,x794,x795),f44(x792,x793,x794,x795)) % 0.46/0.70 [80]~E(x801,x802)+E(f44(x803,x801,x804,x805),f44(x803,x802,x804,x805)) % 0.46/0.70 [81]~E(x811,x812)+E(f44(x813,x814,x811,x815),f44(x813,x814,x812,x815)) % 0.46/0.70 [82]~E(x821,x822)+E(f44(x823,x824,x825,x821),f44(x823,x824,x825,x822)) % 0.46/0.70 [83]~E(x831,x832)+E(f24(x831,x833,x834),f24(x832,x833,x834)) % 0.46/0.70 [84]~E(x841,x842)+E(f24(x843,x841,x844),f24(x843,x842,x844)) % 0.46/0.70 [85]~E(x851,x852)+E(f24(x853,x854,x851),f24(x853,x854,x852)) % 0.46/0.70 [86]~E(x861,x862)+E(f36(x861,x863,x864),f36(x862,x863,x864)) % 0.46/0.70 [87]~E(x871,x872)+E(f36(x873,x871,x874),f36(x873,x872,x874)) % 0.46/0.70 [88]~E(x881,x882)+E(f36(x883,x884,x881),f36(x883,x884,x882)) % 0.46/0.70 [89]~E(x891,x892)+E(f11(x891),f11(x892)) % 0.46/0.70 [90]~E(x901,x902)+E(f42(x901,x903,x904),f42(x902,x903,x904)) % 0.46/0.70 [91]~E(x911,x912)+E(f42(x913,x911,x914),f42(x913,x912,x914)) % 0.46/0.70 [92]~E(x921,x922)+E(f42(x923,x924,x921),f42(x923,x924,x922)) % 0.46/0.70 [93]~E(x931,x932)+E(f34(x931),f34(x932)) % 0.46/0.70 [94]~E(x941,x942)+E(f38(x941,x943),f38(x942,x943)) % 0.46/0.70 [95]~E(x951,x952)+E(f38(x953,x951),f38(x953,x952)) % 0.46/0.70 [96]~E(x961,x962)+E(f26(x961,x963,x964,x965),f26(x962,x963,x964,x965)) % 0.46/0.70 [97]~E(x971,x972)+E(f26(x973,x971,x974,x975),f26(x973,x972,x974,x975)) % 0.46/0.70 [98]~E(x981,x982)+E(f26(x983,x984,x981,x985),f26(x983,x984,x982,x985)) % 0.46/0.70 [99]~E(x991,x992)+E(f26(x993,x994,x995,x991),f26(x993,x994,x995,x992)) % 0.46/0.70 [100]~E(x1001,x1002)+E(f39(x1001,x1003),f39(x1002,x1003)) % 0.46/0.70 [101]~E(x1011,x1012)+E(f39(x1013,x1011),f39(x1013,x1012)) % 0.46/0.70 [102]~P1(x1021)+P1(x1022)+~E(x1021,x1022) % 0.46/0.70 [103]~P2(x1031)+P2(x1032)+~E(x1031,x1032) % 0.46/0.70 [104]~P3(x1041)+P3(x1042)+~E(x1041,x1042) % 0.46/0.70 [105]~P20(x1051)+P20(x1052)+~E(x1051,x1052) % 0.46/0.70 [106]~P18(x1061)+P18(x1062)+~E(x1061,x1062) % 0.46/0.70 [107]~P29(x1071)+P29(x1072)+~E(x1071,x1072) % 0.46/0.70 [108]~P21(x1081)+P21(x1082)+~E(x1081,x1082) % 0.46/0.70 [109]~P4(x1091)+P4(x1092)+~E(x1091,x1092) % 0.46/0.70 [110]~P5(x1101)+P5(x1102)+~E(x1101,x1102) % 0.46/0.70 [111]~P22(x1111)+P22(x1112)+~E(x1111,x1112) % 0.46/0.70 [112]~P23(x1121)+P23(x1122)+~E(x1121,x1122) % 0.46/0.70 [113]~P13(x1131)+P13(x1132)+~E(x1131,x1132) % 0.46/0.70 [114]~P14(x1141)+P14(x1142)+~E(x1141,x1142) % 0.46/0.70 [115]~P15(x1151)+P15(x1152)+~E(x1151,x1152) % 0.46/0.70 [116]~P24(x1161)+P24(x1162)+~E(x1161,x1162) % 0.46/0.70 [117]~P30(x1171)+P30(x1172)+~E(x1171,x1172) % 0.46/0.70 [118]~P26(x1181)+P26(x1182)+~E(x1181,x1182) % 0.46/0.70 [119]P7(x1192,x1193,x1194)+~E(x1191,x1192)+~P7(x1191,x1193,x1194) % 0.46/0.70 [120]P7(x1203,x1202,x1204)+~E(x1201,x1202)+~P7(x1203,x1201,x1204) % 0.46/0.70 [121]P7(x1213,x1214,x1212)+~E(x1211,x1212)+~P7(x1213,x1214,x1211) % 0.46/0.70 [122]~P25(x1221)+P25(x1222)+~E(x1221,x1222) % 0.46/0.70 [123]~P19(x1231)+P19(x1232)+~E(x1231,x1232) % 0.46/0.70 [124]~P31(x1241)+P31(x1242)+~E(x1241,x1242) % 0.46/0.70 [125]~P9(x1251)+P9(x1252)+~E(x1251,x1252) % 0.46/0.70 [126]P6(x1262,x1263,x1264)+~E(x1261,x1262)+~P6(x1261,x1263,x1264) % 0.46/0.70 [127]P6(x1273,x1272,x1274)+~E(x1271,x1272)+~P6(x1273,x1271,x1274) % 0.46/0.70 [128]P6(x1283,x1284,x1282)+~E(x1281,x1282)+~P6(x1283,x1284,x1281) % 0.46/0.70 [129]~P17(x1291)+P17(x1292)+~E(x1291,x1292) % 0.46/0.70 [130]~P28(x1301)+P28(x1302)+~E(x1301,x1302) % 0.46/0.70 [131]P10(x1312,x1313,x1314)+~E(x1311,x1312)+~P10(x1311,x1313,x1314) % 0.46/0.70 [132]P10(x1323,x1322,x1324)+~E(x1321,x1322)+~P10(x1323,x1321,x1324) % 0.46/0.70 [133]P10(x1333,x1334,x1332)+~E(x1331,x1332)+~P10(x1333,x1334,x1331) % 0.46/0.70 [134]~P27(x1341)+P27(x1342)+~E(x1341,x1342) % 0.46/0.70 [135]~P16(x1351)+P16(x1352)+~E(x1351,x1352) % 0.46/0.70 [136]~P12(x1361)+P12(x1362)+~E(x1361,x1362) % 0.46/0.70 [137]P11(x1372,x1373,x1374)+~E(x1371,x1372)+~P11(x1371,x1373,x1374) % 0.46/0.70 [138]P11(x1383,x1382,x1384)+~E(x1381,x1382)+~P11(x1383,x1381,x1384) % 0.46/0.70 [139]P11(x1393,x1394,x1392)+~E(x1391,x1392)+~P11(x1393,x1394,x1391) % 0.46/0.70 [140]P8(x1402,x1403,x1404,x1405)+~E(x1401,x1402)+~P8(x1401,x1403,x1404,x1405) % 0.46/0.70 [141]P8(x1413,x1412,x1414,x1415)+~E(x1411,x1412)+~P8(x1413,x1411,x1414,x1415) % 0.46/0.70 [142]P8(x1423,x1424,x1422,x1425)+~E(x1421,x1422)+~P8(x1423,x1424,x1421,x1425) % 0.46/0.70 [143]P8(x1433,x1434,x1435,x1432)+~E(x1431,x1432)+~P8(x1433,x1434,x1435,x1431) % 0.46/0.70 % 0.46/0.70 %------------------------------------------- % 0.46/0.70 cnf(567,plain, % 0.46/0.70 ($false), % 0.46/0.70 inference(scs_inference,[],[246,240,498]), % 0.46/0.70 ['proof']). % 0.46/0.70 % SZS output end Proof % 0.46/0.70 % Total time :0.042684s %------------------------------------------------------------------------------