TSTP Solution File: LCL839-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL839-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:51:19 EDT 2023
% Result : Unsatisfiable 0.69s 0.82s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 22:14:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.69/0.78 %-------------------------------------------
% 0.69/0.78 % File :CSE---1.6
% 0.69/0.78 % Problem :theBenchmark
% 0.69/0.78 % Transform :cnf
% 0.69/0.78 % Format :tptp:raw
% 0.69/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.78
% 0.69/0.78 % Result :Theorem 0.060000s
% 0.69/0.78 % Output :CNFRefutation 0.060000s
% 0.69/0.78 %-------------------------------------------
% 0.69/0.79 %------------------------------------------------------------------------------
% 0.69/0.79 % File : LCL839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.69/0.79 % Domain : Logic Calculi
% 0.69/0.79 % Problem : Strong normalization of typed lambda calculus 237_50
% 0.69/0.79 % Version : Especial.
% 0.69/0.79 % English :
% 0.69/0.79
% 0.69/0.79 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.69/0.79 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.69/0.79 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.69/0.79 % Source : [Nip10]
% 0.69/0.79 % Names : StrongNorm-237_50 [Nip10]
% 0.69/0.79
% 0.69/0.79 % Status : Unsatisfiable
% 0.69/0.79 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0
% 0.69/0.79 % Syntax : Number of clauses : 389 ( 125 unt; 29 nHn; 226 RR)
% 0.69/0.79 % Number of literals : 776 ( 262 equ; 385 neg)
% 0.69/0.79 % Maximal clause size : 6 ( 1 avg)
% 0.69/0.79 % Maximal term depth : 6 ( 2 avg)
% 0.69/0.79 % Number of predicates : 33 ( 32 usr; 1 prp; 0-4 aty)
% 0.69/0.79 % Number of functors : 53 ( 53 usr; 21 con; 0-5 aty)
% 0.69/0.79 % Number of variables : 973 ( 141 sgn)
% 0.69/0.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.69/0.79
% 0.69/0.79 % Comments :
% 0.69/0.79 %------------------------------------------------------------------------------
% 0.69/0.79 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.69/0.79 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.69/0.79 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__less_0,axiom,
% 0.69/0.79 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_zero__less__diff_1,axiom,
% 0.69/0.79 ( 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)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_zero__less__diff_0,axiom,
% 0.69/0.79 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.79 | ~ 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) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_nat__diff__split_0,axiom,
% 0.69/0.79 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.69/0.79 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.79 | 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)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.79 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.79 | ~ 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) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_add__diff__inverse_0,axiom,
% 0.69/0.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.69/0.79 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__eqI_1,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.69/0.79 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__eqI_0,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.69/0.79 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__diff__conv_1,axiom,
% 0.69/0.79 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__diff__conv_0,axiom,
% 0.69/0.79 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.69/0.79 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.79 | V_m = V_n ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_less__imp__diff__less_0,axiom,
% 0.69/0.79 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.69/0.79 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) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.69/0.79 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__self__eq__0_0,axiom,
% 0.69/0.79 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.69/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.69/0.79 | ~ class_Int_Onumber__ring(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__self_0,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__0__right_0,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_right__minus__eq_1,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.69/0.79 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.79 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__less__mono2_0,axiom,
% 0.69/0.79 ( 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)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.69/0.79 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.79
% 0.69/0.79 cnf(cls_diff__Suc__1_0,axiom,
% 0.69/0.79 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__add__cancel_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.69/0.80 ( ~ 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)))
% 0.69/0.80 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_nat__diff__split_1,axiom,
% 0.69/0.80 ( ~ 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)))
% 0.69/0.80 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__less__Suc_0,axiom,
% 0.69/0.80 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__add__0_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__diff__left_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_eq__eqI_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.69/0.80 | V_xa = V_y ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_eq__eqI_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.69/0.80 | V_x_H = V_y_H ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__0__eq__0_0,axiom,
% 0.69/0.80 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__cancel2_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__cancel_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.69/0.80 | ~ class_Int_Onumber__ring(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.69/0.80 | V_x = V_y ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_right__minus__eq_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.69/0.80 | V_a = V_b ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.69/0.80 | V_a = V_b ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__commute_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_Suc__diff__diff_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 0.69/0.80 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) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__add__inverse2_0,axiom,
% 0.69/0.80 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__add__inverse_0,axiom,
% 0.69/0.80 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__diff__cancel_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.69/0.80 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_diff__Suc__less_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_Suc__pred_0,axiom,
% 0.69/0.80 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_shift__lt_0,axiom,
% 0.69/0.80 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_One__nat__def_0,axiom,
% 0.69/0.80 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_r__into__rtranclp_0,axiom,
% 0.69/0.80 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__Nil__step1_0,axiom,
% 0.69/0.80 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__step1__Nil_0,axiom,
% 0.69/0.80 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_one__is__add_1,axiom,
% 0.69/0.80 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.69/0.80 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.80 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_one__is__add_2,axiom,
% 0.69/0.80 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.69/0.80 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.80 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_foldl__Nil_0,axiom,
% 0.69/0.80 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_one__neq__zero_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.69/0.80 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_conversep__eq_0,axiom,
% 0.69/0.80 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__SucE_0,axiom,
% 0.69/0.80 ( V_m = V_n
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__antisym_0,axiom,
% 0.69/0.80 ( V_m = V_n
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.69/0.80 ( V_n = V_m
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_one__is__add_4,axiom,
% 0.69/0.80 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)) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__strict__mono_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__mono_0,axiom,
% 0.69/0.80 ( 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.69/0.80 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.69/0.80 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_lessI_0,axiom,
% 0.69/0.80 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__Suc__eq_2,axiom,
% 0.69/0.80 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__trans__Suc_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_foldl__foldr1_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.69/0.80 | 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__add__one_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.80 | 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_conversep__conversep_0,axiom,
% 0.69/0.80 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__add__less1_0,axiom,
% 0.69/0.80 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__add__less2_0,axiom,
% 0.69/0.80 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_Suc__n__not__n_0,axiom,
% 0.69/0.80 c_Suc(V_n) != V_n ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_n__not__Suc__n_0,axiom,
% 0.69/0.80 V_n != c_Suc(V_n) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__strict__right__mono_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__cancel__right_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__cancel__right_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__strict__left__mono_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__cancel__left_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__cancel__left_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__less__mono1_0,axiom,
% 0.69/0.80 ( 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.69/0.80 ( 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__is__1_5,axiom,
% 0.69/0.80 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)) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_Suc__lessD_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__SucI_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_of__nat__add_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.69/0.80 | 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)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__is__1_1,axiom,
% 0.69/0.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.80 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.80 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__is__1_2,axiom,
% 0.69/0.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.80 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.80 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.69/0.80 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)))) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.69/0.80 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.69/0.80 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_accp_Ocases_0,axiom,
% 0.69/0.80 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.69/0.80 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_accp__downward_0,axiom,
% 0.69/0.80 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.69/0.80 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_list__app__typeE_1,axiom,
% 0.69/0.80 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.69/0.80 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_list__app__typeD_1,axiom,
% 0.69/0.80 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.69/0.80 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_lift__subst_0,axiom,
% 0.69/0.80 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = 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)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_lift__subst__lt_0,axiom,
% 0.69/0.80 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = 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)))
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.69/0.80 ( 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)))
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.69/0.80 ( 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))
% 0.69/0.80 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_var__app__types_0,axiom,
% 0.69/0.80 ( 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)
% 0.69/0.80 | ~ 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)
% 0.69/0.80 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__neg__neg_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_even__less__0__iff_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.69/0.80 | ~ 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) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_even__less__0__iff_1,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__one__less__zero_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_add__pos__pos_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.69/0.80 | 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)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_zero__less__one_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_pos__add__strict_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__0_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.69/0.81 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__less__iff_1,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__less__iff_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__gr__0_1,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__gr__0_2,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_zero__less__Suc_0,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__gr__0_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__Suc0_0,axiom,
% 0.69/0.81 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__Suc0_1,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_foldl__absorb0_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_head__Var__reduction_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.69/0.81 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__gt_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__Var_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_type_Osize_I2_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_type_Osize_I4_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__eq__if_1,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__diff__1_0,axiom,
% 0.69/0.81 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__pred_H_0,axiom,
% 0.69/0.81 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osize_I6_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osize_I3_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osize_I5_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osize_I2_J_0,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat_Oinject_0,axiom,
% 0.69/0.81 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.69/0.81 | V_nat = V_nat_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__inject_0,axiom,
% 0.69/0.81 ( c_Suc(V_x) != c_Suc(V_y)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_double__eq__0__iff_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.69/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__0_1,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__0_0,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.69/0.81 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.69/0.81 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__eq__self__zero_0,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.69/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.69/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.69/0.81 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.69/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.69/0.81 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.69/0.81 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.69/0.81 | V_m = V_n ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_foldl__assoc_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__add__eq__less_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__add__commute_0,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_trans__less__add2_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_trans__less__add1_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__lessD1_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__add__Suc2_0,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__add__Suc1_0,axiom,
% 0.69/0.81 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.69/0.81 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.69/0.81 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__Suc_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__Suc__right_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_termi__implies__IT_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.69/0.81 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_IT__implies__termi_0,axiom,
% 0.69/0.81 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtranclp__trans_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_accp__downwards__aux_0,axiom,
% 0.69/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.69/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_accp__downwards_0,axiom,
% 0.69/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.69/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.69/0.81 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.69/0.81 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_listsp_ONil_0,axiom,
% 0.69/0.81 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__1_4,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.69/0.81 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.69/0.81 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_double__eq__0__iff_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__0_2,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__cancel__21_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__add__left__commute_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__add__assoc_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_conversep_Ointros_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_conversep_Ocases_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_conversep__iff_1,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_conversepD_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__cancel__21_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.69/0.81 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_one__is__add_5,axiom,
% 0.69/0.81 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))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__1_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.69/0.81 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_zero__neq__one_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.69/0.81 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_one__is__add_3,axiom,
% 0.69/0.81 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.69/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_one__is__add_0,axiom,
% 0.69/0.81 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.69/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__Suc_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__Suc__shift_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtranclp__converseD_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtranclp__converseI_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__lessI_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.69/0.81 | c_Suc(V_m) = V_n
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_y = V_z ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_m = V_n ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_m = V_n ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.69/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | V_y = V_z ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__imp__eq_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | V_b = V_c ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__left__cancel_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | V_b = V_c ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__right__cancel_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | V_b = V_c ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__subst_0,axiom,
% 0.69/0.81 ( c_Lambda_Osubst(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_v,V_i),c_Suc(V_j)),c_Lambda_Osubst(V_u,V_v,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Osubst(V_t,V_u,V_i),V_v,V_j)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__1_3,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__is__1_0,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.69/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.69/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__eq_1,axiom,
% 0.69/0.81 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__eq_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift__lift_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_zero__less__two_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_rtranclp__idemp_0,axiom,
% 0.69/0.81 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.69/0.81 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.69/0.81 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.69/0.81 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.69/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.69/0.81 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_add__0__left_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.69/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__less__eq_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Suc__mono_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__Abs_0,axiom,
% 0.69/0.81 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(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)))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_var__app__types_1,axiom,
% 0.69/0.81 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.69/0.81 | ~ 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)
% 0.69/0.81 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_var__app__typesE_1,axiom,
% 0.69/0.81 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subject__reduction_H_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_list__app__typeD_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_list__app__typeI_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.69/0.81 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_list__app__typeE_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_shift__commute_0,axiom,
% 0.69/0.81 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.69/0.81 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_abs__typeE_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_var__app__typesE_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_double__induction__lemma_0,axiom,
% 0.69/0.81 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,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)
% 0.69/0.81 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.69/0.81 | 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__preserves__betas_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.69/0.81 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.69/0.81 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.69/0.81 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.69/0.81 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.69/0.81 ( 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))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | 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)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_head__Var__reduction_1,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | ~ 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)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_IT_OVar_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Beta_I5_J_0,axiom,
% 0.69/0.81 c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.69/0.81 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_abs_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_app__Var__IT_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift__preserves__beta_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.69/0.81 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__lift_0,axiom,
% 0.69/0.81 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_uIT_0,axiom,
% 0.69/0.81 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_appL_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_appR_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Lambda_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_r = V_s ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.69/0.81 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__Var_1,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.69/0.81 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less0_0,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_gr__implies__not0_0,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_xt1_I10_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__trans_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Beta_I6_J_0,axiom,
% 0.69/0.81 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__Var_2,axiom,
% 0.69/0.81 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.69/0.81 | V_i = V_k
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__preserves__beta_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.69/0.81 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)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__IT_0,axiom,
% 0.69/0.81 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.69/0.81 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_IT_OBeta_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift__IT_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.69/0.81 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) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.69/0.81 | V_dB = V_dB_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.69/0.81 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.69/0.81 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__preserves__beta_0,axiom,
% 0.69/0.81 ( 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)))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__less__le_1,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__not__refl_0,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__le_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neq__iff_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__irrefl_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_beta_0,axiom,
% 0.69/0.81 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__neq__iff_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.69/0.81 | V_m = V_n ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_nat__less__cases_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.69/0.81 | V_m = V_n
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_var__app__type__eq_0,axiom,
% 0.69/0.81 ( V_T = V_U
% 0.69/0.81 | ~ 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)
% 0.69/0.81 | ~ 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) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neqE_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__less__linear_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.69/0.81 | V_dB2 = V_dB2_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.69/0.81 | V_dB1 = V_dB1_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_rs = V_ss ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_r = V_s ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.69/0.81 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.69/0.81 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_App_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.69/0.81 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.69/0.81 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.69/0.81 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_SI1_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),V_u,V_i)))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_u,v_T____)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.69/0.81 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),V_T_H) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_gr0I_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.69/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_neq0__conv_1,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__lt_0,axiom,
% 0.69/0.81 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__Var__IT_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.69/0.81 | V_type2 = V_type2_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.69/0.81 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.69/0.81 | V_type1 = V_type1_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__eq_0,axiom,
% 0.69/0.81 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_rs = V_ss ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.69/0.81 ( 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)
% 0.69/0.81 | V_m = V_n ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.69/0.81 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Beta_I1_J_0,axiom,
% 0.69/0.81 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.69/0.81 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.69/0.81 | V_nat = V_nat_H ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.69/0.81 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.69/0.81 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subst__App_0,axiom,
% 0.69/0.81 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_xt1_I9_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__asym_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__asym_H_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_lift__type_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_SI2_0,axiom,
% 0.69/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(v_a____,V_u,V_i)))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_u,v_T____)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.69/0.81 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),v_a____,V_T_H) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_uT_0,axiom,
% 0.69/0.81 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_Beta_I3_J_0,axiom,
% 0.69/0.81 hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_subject__reduction_0,axiom,
% 0.69/0.81 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_shift__gt_0,axiom,
% 0.69/0.81 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_MI2_0,axiom,
% 0.69/0.81 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.69/0.81 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.69/0.81 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_MI1_0,axiom,
% 0.69/0.81 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.69/0.81 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 0.69/0.81 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.69/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.69/0.82 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.69/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_shift__eq_0,axiom,
% 0.69/0.82 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_Abs_0,axiom,
% 0.69/0.82 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.69/0.82 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.69/0.82 ( hAPP(V_e,V_i) = V_T
% 0.69/0.82 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_Beta_I7_J_0,axiom,
% 0.69/0.82 c_Type_Otyping(v_ea______,v_ua______,v_T____) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_T_0,axiom,
% 0.69/0.82 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_that_0,axiom,
% 0.69/0.82 ( v_thesis____
% 0.69/0.82 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,V_T_H_H) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_typing_OVar_0,axiom,
% 0.69/0.82 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_subst__lemma_0,axiom,
% 0.69/0.82 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.69/0.82 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.69/0.82 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_CHAINED_0,axiom,
% 0.69/0.82 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_conjecture_0,negated_conjecture,
% 0.69/0.82 ~ v_thesis____ ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_conjecture_1,negated_conjecture,
% 0.69/0.82 ( v_thesis____
% 0.69/0.82 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,V_x) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.69/0.82 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.69/0.82 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.69/0.82 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.69/0.82 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.69/0.82 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.69/0.82 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.69/0.82 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.69/0.82 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.69/0.82 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.69/0.82 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.69/0.82 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.69/0.82 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.69/0.82 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.69/0.82 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.69/0.82 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.69/0.82 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.69/0.82 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.69/0.82 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.69/0.82 class_Orderings_Opreorder(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.69/0.82 class_Orderings_Olinorder(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.69/0.82 class_Orderings_Oorder(tc_nat) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.69/0.82 class_Orderings_Opreorder(tc_bool) ).
% 0.69/0.82
% 0.69/0.82 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.69/0.82 class_Orderings_Oorder(tc_bool) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.69/0.82 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.69/0.82
% 0.69/0.82 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.69/0.82 ( V_X = V_Y
% 0.69/0.82 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.69/0.82
% 0.69/0.82 %------------------------------------------------------------------------------
% 0.69/0.82 %-------------------------------------------
% 0.69/0.82 % Proof found
% 0.69/0.82 % SZS status Theorem for theBenchmark
% 0.69/0.82 % SZS output start Proof
% 0.69/0.82 %ClaNum:513(EqnAxiom:125)
% 0.69/0.82 %VarNum:1932(SingletonVarNum:854)
% 0.69/0.82 %MaxLitNum:6
% 0.69/0.82 %MaxfuncDepth:5
% 0.69/0.82 %SharedTerms:83
% 0.69/0.82 %goalClause: 225 456
% 0.69/0.82 %singleGoalClaCount:1
% 0.69/0.82 [126]P1(a1)
% 0.69/0.82 [127]P2(a1)
% 0.69/0.82 [128]P3(a1)
% 0.69/0.82 [129]P21(a1)
% 0.69/0.82 [130]P19(a1)
% 0.69/0.82 [131]P30(a1)
% 0.69/0.82 [132]P22(a1)
% 0.69/0.82 [133]P4(a1)
% 0.69/0.82 [134]P5(a1)
% 0.69/0.82 [135]P23(a1)
% 0.69/0.82 [136]P24(a1)
% 0.69/0.82 [137]P14(a1)
% 0.69/0.82 [138]P15(a1)
% 0.69/0.82 [139]P16(a1)
% 0.69/0.82 [140]P25(a1)
% 0.69/0.82 [141]P25(a2)
% 0.69/0.82 [142]P27(a1)
% 0.69/0.82 [143]P27(a2)
% 0.69/0.82 [144]P26(a1)
% 0.69/0.82 [151]P6(a46,a52,a41)
% 0.69/0.82 [152]P6(a47,a45,a41)
% 0.69/0.82 [225]~P32(a500)
% 0.69/0.82 [147]P31(f22(a8,a40))
% 0.69/0.82 [148]P31(f22(a8,a45))
% 0.69/0.82 [149]P31(f22(a8,a52))
% 0.69/0.82 [211]P6(f28(a47,a49,a41,a38),f22(f22(a11,f9(a50)),a40),a44)
% 0.69/0.82 [222]P6(f28(a46,a51,a41,a38),f18(a11,f22(f22(a11,f9(a50)),a40),a48,a13,a13),a42)
% 0.69/0.82 [223]P6(f28(a47,a49,a41,a38),f18(a11,f22(f22(a11,f9(a50)),a40),a48,a13,a13),a43)
% 0.69/0.82 [224]P31(f22(a8,f18(a11,f16(a50,a40,f4(a1)),a48,a13,a13)))
% 0.69/0.82 [239]~P8(x2391,x2391,a1)
% 0.69/0.82 [157]E(f6(x1571,x1571,a1),f4(a1))
% 0.69/0.82 [241]~P8(x2411,f4(a1),a1)
% 0.69/0.82 [145]E(f12(f3(x1451)),f4(a1))
% 0.69/0.82 [146]E(f14(f3(x1461),a13),f4(a1))
% 0.69/0.82 [150]P31(f22(a8,f3(x1501)))
% 0.69/0.82 [154]E(f22(f22(f5(a1),x1541),f4(a1)),x1541)
% 0.69/0.82 [158]E(f6(x1581,f4(a1),a1),x1581)
% 0.69/0.82 [161]E(f6(f4(a1),x1611,a1),f4(a1))
% 0.69/0.82 [164]E(f24(f25(x1641),x1641,x1641),f25(x1641))
% 0.69/0.82 [174]P8(x1741,f22(f22(f5(a1),x1741),f7(a1)),a1)
% 0.69/0.82 [176]P8(f4(a1),f22(f22(f5(a1),x1761),f7(a1)),a1)
% 0.69/0.82 [233]~E(f22(f22(f5(a1),x2331),f7(a1)),x2331)
% 0.69/0.82 [237]~E(f22(f22(f5(a1),x2371),f7(a1)),f4(a1))
% 0.69/0.82 [155]E(f22(f22(f5(a1),f4(a1)),x1551),x1551)
% 0.69/0.82 [180]E(f22(f22(f5(a1),f12(x1801)),f22(f22(f5(a1),f4(a1)),f7(a1))),f12(f9(x1801)))
% 0.69/0.82 [186]E(f22(f22(f5(a1),f14(x1861,a13)),f22(f22(f5(a1),f4(a1)),f7(a1))),f14(f9(x1861),a13))
% 0.69/0.82 [162]P7(x1621,f15(x1622),x1622)
% 0.69/0.82 [166]P6(x1661,f3(x1662),f22(x1661,x1662))
% 0.69/0.82 [227]~E(f9(x2271),f3(x2272))
% 0.69/0.82 [156]E(f23(f23(x1561,x1562),x1562),f23(x1561,x1562))
% 0.69/0.82 [163]E(f16(f3(x1631),x1632,x1631),x1632)
% 0.69/0.82 [188]P8(f6(x1881,x1882,a1),f22(f22(f5(a1),x1881),f7(a1)),a1)
% 0.69/0.82 [207]P8(x2071,f22(f22(f5(a1),f22(f22(f5(a1),x2072),x2071)),f7(a1)),a1)
% 0.69/0.82 [209]P8(x2091,f22(f22(f5(a1),f22(f22(f5(a1),x2091),x2092)),f7(a1)),a1)
% 0.69/0.82 [167]E(f22(f22(f5(a1),x1671),x1672),f22(f22(f5(a1),x1672),x1671))
% 0.69/0.82 [169]P31(f22(f22(f25(x1691),x1692),x1692))
% 0.69/0.82 [194]E(f6(x1941,f22(f22(f5(a1),x1942),f7(a1)),a1),f6(f6(x1941,f7(a1),a1),x1942,a1))
% 0.69/0.82 [204]E(f22(f22(f5(a1),f22(f22(f5(a1),f12(x2041)),f12(x2042))),f22(f22(f5(a1),f4(a1)),f7(a1))),f12(f22(f22(a11,x2041),x2042)))
% 0.69/0.82 [205]E(f22(f22(f5(a1),f22(f22(f5(a1),f26(x2051)),f26(x2052))),f22(f22(f5(a1),f4(a1)),f7(a1))),f26(f22(f22(a27,x2051),x2052)))
% 0.69/0.82 [212]P31(f22(f22(a10,f22(f22(a11,f9(x2121)),x2122)),f16(x2121,x2122,f4(a1))))
% 0.69/0.82 [213]E(f22(f22(f5(a1),f22(f22(f5(a1),f14(x2131,a13)),f14(x2132,a13))),f22(f22(f5(a1),f4(a1)),f7(a1))),f14(f22(f22(a11,x2131),x2132),a13))
% 0.69/0.82 [214]E(f22(f22(f5(a1),f22(f22(f5(a1),f14(x2141,a38)),f14(x2142,a38))),f22(f22(f5(a1),f4(a1)),f7(a1))),f14(f22(f22(a27,x2141),x2142),a38))
% 0.69/0.82 [243]~P31(f22(f22(a10,f3(x2431)),x2432))
% 0.69/0.82 [244]~P8(f22(f22(f5(a1),x2441),x2442),x2442,a1)
% 0.69/0.82 [245]~P8(f22(f22(f5(a1),x2451),x2452),x2451,a1)
% 0.69/0.82 [170]E(f6(f22(f22(f5(a1),x1701),x1702),x1702,a1),x1701)
% 0.69/0.82 [171]E(f6(f22(f22(f5(a1),x1711),x1712),x1711,a1),x1712)
% 0.69/0.82 [172]E(f6(x1721,f22(f22(f5(a1),x1721),x1722),a1),f4(a1))
% 0.69/0.82 [187]E(f9(f17(x1871,f22(f22(f5(a1),x1872),f7(a1)))),f17(f9(x1871),x1872))
% 0.69/0.82 [200]E(f22(f22(f5(a1),f22(f22(f5(a1),x2001),f7(a1))),x2002),f22(f22(f5(a1),x2001),f22(f22(f5(a1),x2002),f7(a1))))
% 0.69/0.82 [202]E(f22(f22(f5(a1),f22(f22(f5(a1),x2021),f7(a1))),x2022),f22(f22(f5(a1),f22(f22(f5(a1),x2021),x2022)),f7(a1)))
% 0.69/0.82 [246]~P9(x2461,x2462,f15(x2463),x2463)
% 0.69/0.82 [247]~P9(x2471,f15(x2472),x2473,x2472)
% 0.69/0.82 [165]E(f16(f17(x1651,x1652),x1653,x1652),x1651)
% 0.69/0.82 [178]E(f24(f24(x1781,x1782,x1783),x1783,x1782),x1781)
% 0.69/0.82 [195]E(f6(f6(x1951,x1952,a1),x1953,a1),f6(f6(x1951,x1953,a1),x1952,a1))
% 0.69/0.82 [228]~E(f3(x2281),f22(f22(a11,x2282),x2283))
% 0.69/0.82 [229]~E(f9(x2291),f22(f22(a11,x2292),x2293))
% 0.69/0.82 [230]~E(f22(f22(a11,x2301),x2302),f3(x2303))
% 0.69/0.82 [231]~E(f22(f22(a11,x2311),x2312),f9(x2313))
% 0.69/0.82 [182]P31(f22(f22(f23(x1821,x1822),x1823),x1823))
% 0.69/0.82 [183]E(f22(f22(a11,f17(x1831,x1832)),f17(x1833,x1832)),f17(f22(f22(a11,x1831),x1833),x1832))
% 0.69/0.82 [210]E(f6(f6(f22(f22(f5(a1),x2101),f7(a1)),x2102,a1),f22(f22(f5(a1),x2103),f7(a1)),a1),f6(f6(x2101,x2102,a1),x2103,a1))
% 0.69/0.82 [189]E(f22(f22(f5(a1),x1891),f22(f22(f5(a1),x1892),x1893)),f22(f22(f5(a1),x1892),f22(f22(f5(a1),x1891),x1893)))
% 0.69/0.82 [190]E(f6(f22(f22(f5(a1),x1901),x1902),f22(f22(f5(a1),x1903),x1902),a1),f6(x1901,x1903,a1))
% 0.69/0.82 [191]E(f6(f22(f22(f5(a1),x1911),x1912),f22(f22(f5(a1),x1911),x1913),a1),f6(x1912,x1913,a1))
% 0.69/0.82 [193]E(f6(x1931,f22(f22(f5(a1),x1932),x1933),a1),f6(f6(x1931,x1932,a1),x1933,a1))
% 0.69/0.82 [201]E(f9(f16(x2011,f17(x2012,f4(a1)),f22(f22(f5(a1),x2013),f7(a1)))),f16(f9(x2011),x2012,x2013))
% 0.69/0.82 [198]E(f22(f22(f5(a1),f22(f22(f5(a1),x1981),x1982)),x1983),f22(f22(f5(a1),x1981),f22(f22(f5(a1),x1982),x1983)))
% 0.69/0.82 [206]E(f22(f28(x2061,x2062,x2063,x2064),x2062),x2063)
% 0.69/0.82 [215]E(f18(x2151,x2152,f15(x2153),x2154,x2153),x2152)
% 0.69/0.82 [216]E(f20(x2161,f15(x2162),x2163,x2162,x2164),x2163)
% 0.69/0.82 [249]~E(f18(a11,f9(x2491),x2492,a13,a13),f18(a11,f3(x2493),x2494,a13,a13))
% 0.69/0.82 [203]E(f22(f22(a11,f16(x2031,x2032,x2033)),f16(x2034,x2032,x2033)),f16(f22(f22(a11,x2031),x2034),x2032,x2033))
% 0.69/0.82 [248]~E(f22(f22(a11,f9(x2481)),x2482),f18(a11,f3(x2483),x2484,a13,a13))
% 0.69/0.82 [221]E(f28(f28(x2211,f4(a1),x2212,x2213),f22(f22(f5(a1),x2214),f7(a1)),x2215,x2213),f28(f28(x2211,x2214,x2215,x2213),f4(a1),x2212,x2213))
% 0.69/0.82 [253]~P1(x2531)+~E(f7(x2531),f4(x2531))
% 0.69/0.82 [259]E(x2591,f4(a1))+P8(f4(a1),x2591,a1)
% 0.69/0.82 [273]~P21(x2731)+P8(f4(x2731),f7(x2731),x2731)
% 0.69/0.82 [295]~P21(x2951)+~P8(f7(x2951),f4(x2951),x2951)
% 0.69/0.82 [334]P11(f24(a10,a13,a13),x3341,a13)+~P31(f22(a8,x3341))
% 0.69/0.82 [366]~P11(f24(a10,a13,a13),x3661,a13)+P31(f22(a8,x3661))
% 0.69/0.82 [456]~P6(f28(a47,a49,a41,a38),a40,x4561)+P32(a500)
% 0.69/0.82 [254]~P30(x2541)+E(f21(f4(a1),x2541),f4(x2541))
% 0.69/0.82 [255]~P30(x2551)+E(f21(f7(a1),x2551),f7(x2551))
% 0.69/0.82 [278]~P18(x2781)+E(f22(f22(f5(x2781),f4(x2781)),f4(x2781)),f4(x2781))
% 0.69/0.82 [279]~P31(f22(a8,x2791))+P31(f22(a8,f9(x2791)))
% 0.69/0.82 [340]~P21(x3401)+P8(f4(x3401),f22(f22(f5(x3401),f7(x3401)),f7(x3401)),x3401)
% 0.69/0.82 [361]E(x3611,f4(a1))+~P8(x3611,f22(f22(f5(a1),f4(a1)),f7(a1)),a1)
% 0.69/0.82 [409]~P8(f4(a1),x4091,a1)+E(f22(f22(f5(a1),f6(x4091,f7(a1),a1)),f7(a1)),x4091)
% 0.69/0.82 [453]~P8(f4(a1),x4531,a1)+E(f22(f22(f5(a1),f6(x4531,f22(f22(f5(a1),f4(a1)),f7(a1)),a1)),f7(a1)),x4531)
% 0.69/0.82 [280]~P8(x2802,x2802,x2801)+~P25(x2801)
% 0.69/0.82 [281]~P8(x2812,x2812,x2811)+~P27(x2811)
% 0.69/0.82 [282]~P8(x2822,x2822,x2821)+~P26(x2821)
% 0.69/0.82 [250]E(x2501,x2502)+~E(f3(x2501),f3(x2502))
% 0.69/0.82 [251]E(x2511,x2512)+~E(f9(x2511),f9(x2512))
% 0.69/0.82 [256]~P25(x2562)+P25(f39(x2561,x2562))
% 0.69/0.82 [257]~P27(x2572)+P27(f39(x2571,x2572))
% 0.69/0.82 [261]~P17(x2612)+E(f6(x2611,x2611,x2612),f4(x2612))
% 0.69/0.82 [262]~P13(x2622)+E(f6(x2621,x2621,x2622),f4(x2622))
% 0.69/0.82 [308]~P21(x3081)+~P8(f21(x3082,x3081),f4(x3081),x3081)
% 0.69/0.82 [360]~P8(x3602,x3601,a1)+P8(f4(a1),f6(x3601,x3602,a1),a1)
% 0.69/0.82 [382]P8(x3821,x3822,a1)+~P8(f4(a1),f6(x3822,x3821,a1),a1)
% 0.69/0.82 [263]~P3(x2631)+E(f22(f22(f5(x2631),x2632),f4(x2631)),x2632)
% 0.69/0.82 [264]~P24(x2641)+E(f22(f22(f5(x2641),x2642),f4(x2641)),x2642)
% 0.69/0.82 [265]~P14(x2651)+E(f22(f22(f5(x2651),x2652),f4(x2651)),x2652)
% 0.69/0.82 [266]~P17(x2662)+E(f6(x2661,f4(x2662),x2662),x2661)
% 0.69/0.82 [287]~P8(x2871,x2872,a1)+E(f17(f3(x2871),x2872),f3(x2871))
% 0.69/0.82 [307]~P31(f22(a8,x3071))+P31(f22(a8,f17(x3071,x3072)))
% 0.69/0.82 [323]~P21(x3232)+P8(x3231,f22(f22(f5(x3232),x3231),f7(x3232)),x3232)
% 0.69/0.82 [337]P8(x3371,x3372,a1)+P8(x3372,f22(f22(f5(a1),x3371),f7(a1)),a1)
% 0.69/0.82 [339]P8(x3392,x3391,a1)+E(f22(f22(f5(a1),x3391),f6(x3392,x3391,a1)),x3392)
% 0.69/0.82 [351]~P31(f22(f22(a10,x3511),x3512))+P31(f22(f22(a10,f9(x3511)),f9(x3512)))
% 0.69/0.82 [391]~P8(x3911,x3912,a1)+~P8(x3912,f22(f22(f5(a1),x3911),f7(a1)),a1)
% 0.69/0.82 [430]P8(x4301,x4302,a1)+~P8(f22(f22(f5(a1),x4301),f7(a1)),f22(f22(f5(a1),x4302),f7(a1)),a1)
% 0.69/0.82 [486]~P3(x4861)+E(f20(f5(x4861),x4862,f4(x4861),x4861,x4861),f18(f5(x4861),f4(x4861),x4862,x4861,x4861))
% 0.69/0.82 [267]~P3(x2671)+E(f22(f22(f5(x2671),f4(x2671)),x2672),x2672)
% 0.69/0.82 [269]~P24(x2691)+E(f22(f22(f5(x2691),f4(x2691)),x2692),x2692)
% 0.69/0.82 [270]~P14(x2701)+E(f22(f22(f5(x2701),f4(x2701)),x2702),x2702)
% 0.69/0.82 [275]E(x2751,f4(a1))+~E(f22(f22(f5(a1),x2752),x2751),x2752)
% 0.69/0.82 [276]E(x2761,f4(a1))+~E(f22(f22(f5(a1),x2762),x2761),f4(a1))
% 0.69/0.82 [277]E(x2771,f4(a1))+~E(f22(f22(f5(a1),x2771),x2772),f4(a1))
% 0.69/0.82 [322]P8(x3221,x3222,a1)+E(f17(f3(x3221),x3222),f3(f22(f22(f5(a1),x3221),f7(a1))))
% 0.69/0.82 [341]~P30(x3412)+E(f21(f22(f22(f5(a1),x3411),f7(a1)),x3412),f22(f22(f5(x3412),f7(x3412)),f21(x3411,x3412)))
% 0.69/0.82 [357]~P31(f22(a8,x3571))+P31(f22(a8,f22(f22(a11,x3571),f3(x3572))))
% 0.69/0.82 [428]~P8(f4(a1),x4281,a1)+P8(f6(x4281,f22(f22(f5(a1),x4282),f7(a1)),a1),x4281,a1)
% 0.69/0.82 [431]P31(f22(f22(f23(a10,a13),f9(x4311)),f9(x4312)))+~P31(f22(f22(f23(a10,a13),x4311),x4312))
% 0.69/0.82 [471]E(x4711,f4(a1))+E(f22(f22(f5(a1),f22(f22(f5(a1),f6(x4711,f7(a1),a1)),x4712)),f7(a1)),f22(f22(f5(a1),x4711),x4712))
% 0.69/0.82 [498]~P7(a8,x4982,a13)+P31(f22(a8,f18(a11,f3(x4981),x4982,a13,a13)))
% 0.69/0.82 [291]~P6(x2911,f3(x2912),x2913)+E(f22(x2911,x2912),x2913)
% 0.69/0.82 [358]~P8(x3581,x3583,a1)+P8(f6(x3581,x3582,a1),x3583,a1)
% 0.69/0.82 [477]~E(f3(x4772),f18(a11,x4773,x4771,a13,a13))+E(x4771,f15(a13))
% 0.69/0.82 [478]~E(f9(x4782),f18(a11,x4783,x4781,a13,a13))+E(x4781,f15(a13))
% 0.69/0.82 [479]~E(f18(a11,x4792,x4791,a13,a13),f9(x4793))+E(x4791,f15(a13))
% 0.69/0.82 [480]E(x4801,f9(x4802))+~E(f18(a11,x4801,x4803,a13,a13),f9(x4802))
% 0.69/0.82 [481]E(f3(x4811),x4812)+~E(f3(x4811),f18(a11,x4812,x4813,a13,a13))
% 0.69/0.82 [482]E(f9(x4821),x4822)+~E(f9(x4821),f18(a11,x4822,x4823,a13,a13))
% 0.69/0.82 [489]E(x4891,x4892)+~E(f18(a11,x4891,x4893,a13,a13),f18(a11,x4892,x4893,a13,a13))
% 0.69/0.82 [312]~P8(x3121,x3123,a1)+E(f16(f3(x3121),x3122,x3123),f3(x3121))
% 0.69/0.82 [403]~P31(f22(f22(a10,x4031),x4033))+P31(f22(f22(a10,f17(x4031,x4032)),f17(x4033,x4032)))
% 0.69/0.82 [432]~P6(x4322,f9(x4323),x4321)+E(f22(f22(a27,f29(x4321,x4322,x4323)),f35(x4321,x4322,x4323)),x4321)
% 0.69/0.82 [449]~P6(x4491,f9(x4492),x4493)+P6(f28(x4491,f4(a1),f30(x4491,x4492),a38),x4492,f31(x4491,x4492))
% 0.69/0.82 [463]~P6(x4631,f9(x4633),x4632)+P6(f28(x4631,f4(a1),f29(x4632,x4631,x4633),a38),x4633,f35(x4632,x4631,x4633))
% 0.69/0.82 [483]E(f22(f22(a11,x4831),x4832),x4833)+~E(f22(f22(a11,x4831),x4832),f18(a11,x4833,f15(a13),a13,a13))
% 0.69/0.82 [485]~P4(x4851)+E(f20(f5(x4851),x4852,x4853,x4851,x4851),f18(f5(x4851),x4853,x4852,x4851,x4851))
% 0.69/0.82 [506]~P31(f22(f22(a10,x5061),x5063))+P31(f22(f22(a10,f18(a11,x5061,x5062,a13,a13)),f18(a11,x5063,x5062,a13,a13)))
% 0.69/0.82 [508]~P9(a10,x5082,x5083,a13)+P31(f22(f22(a10,f18(a11,x5081,x5082,a13,a13)),f18(a11,x5081,x5083,a13,a13)))
% 0.69/0.82 [293]~P24(x2931)+E(f22(f22(f5(x2931),x2932),x2933),f22(f22(f5(x2931),x2933),x2932))
% 0.69/0.82 [294]~P14(x2941)+E(f22(f22(f5(x2941),x2942),x2943),f22(f22(f5(x2941),x2943),x2942))
% 0.69/0.82 [310]E(x3101,x3102)+~E(f22(f22(f5(a1),x3103),x3101),f22(f22(f5(a1),x3103),x3102))
% 0.69/0.82 [311]E(x3111,x3112)+~E(f22(f22(f5(a1),x3111),x3113),f22(f22(f5(a1),x3112),x3113))
% 0.69/0.82 [318]E(x3181,x3182)+~P31(f22(f22(f25(x3183),x3181),x3182))
% 0.69/0.82 [347]~P8(x3471,x3473,a1)+P8(x3471,f22(f22(f5(a1),x3472),x3473),a1)
% 0.69/0.82 [349]~P8(x3491,x3492,a1)+P8(x3491,f22(f22(f5(a1),x3492),x3493),a1)
% 0.69/0.82 [363]~P8(x3633,x3631,a1)+E(f16(f3(x3631),x3632,x3633),f3(f6(x3631,f7(a1),a1)))
% 0.69/0.82 [374]~P17(x3741)+E(f22(f22(f5(x3741),f6(x3742,x3743,x3741)),x3743),x3742)
% 0.69/0.82 [375]P8(x3751,x3752,a1)+~P8(f22(f22(f5(a1),x3751),x3753),x3752,a1)
% 0.69/0.82 [383]~P31(f22(a8,x3831))+P31(f22(a8,f16(x3831,f3(x3832),x3833)))
% 0.69/0.82 [388]~P8(x3881,x3883,a1)+P8(f22(f22(f5(a1),x3881),x3882),f22(f22(f5(a1),x3883),x3882),a1)
% 0.69/0.82 [389]~P8(x3892,x3893,a1)+P8(f22(f22(f5(a1),x3891),x3892),f22(f22(f5(a1),x3891),x3893),a1)
% 0.69/0.82 [412]P8(x4121,f6(x4122,x4123,a1),a1)+~P8(f22(f22(f5(a1),x4121),x4123),x4122,a1)
% 0.69/0.82 [414]~P8(x4141,f6(x4143,x4142,a1),a1)+P8(f22(f22(f5(a1),x4141),x4142),x4143,a1)
% 0.69/0.82 [417]~P8(x4172,f22(f22(f5(a1),x4173),f7(a1)),a1)+E(f17(f17(x4171,x4172),f22(f22(f5(a1),x4173),f7(a1))),f17(f17(x4171,x4173),x4172))
% 0.69/0.82 [424]P8(x4241,x4242,a1)+~P8(f22(f22(f5(a1),x4243),x4241),f22(f22(f5(a1),x4243),x4242),a1)
% 0.69/0.82 [438]P31(f22(f22(f23(a10,a13),f17(x4381,x4382)),f17(x4383,x4382)))+~P31(f22(f22(f23(a10,a13),x4381),x4383))
% 0.69/0.82 [442]~P31(f22(f22(a10,x4421),x4423))+P31(f22(f22(a10,f22(f22(a11,x4421),x4422)),f22(f22(a11,x4423),x4422)))
% 0.69/0.82 [443]~P31(f22(f22(a10,x4432),x4433))+P31(f22(f22(a10,f22(f22(a11,x4431),x4432)),f22(f22(a11,x4431),x4433)))
% 0.69/0.82 [457]~P31(f22(f22(f23(a10,a13),x4571),x4573))+P31(f22(f22(f23(a10,a13),f22(f22(a11,x4571),x4572)),f22(f22(a11,x4573),x4572)))
% 0.69/0.82 [458]~P31(f22(f22(f23(a10,a13),x4582),x4583))+P31(f22(f22(f23(a10,a13),f22(f22(a11,x4581),x4582)),f22(f22(a11,x4581),x4583)))
% 0.69/0.82 [487]~P3(x4871)+E(f22(f22(f5(x4871),x4872),f20(f5(x4871),x4873,f4(x4871),x4871,x4871)),f18(f5(x4871),x4872,x4873,x4871,x4871))
% 0.69/0.82 [488]~P3(x4881)+E(f22(f22(f5(x4881),x4882),f18(f5(x4881),f4(x4881),x4883,x4881,x4881)),f18(f5(x4881),x4882,x4883,x4881,x4881))
% 0.69/0.82 [507]P31(f22(f22(f23(a10,a13),f18(a11,x5071,x5072,a13,a13)),f18(a11,x5073,x5072,a13,a13)))+~P31(f22(f22(f23(a10,a13),x5071),x5073))
% 0.69/0.82 [315]~P17(x3151)+E(f6(f22(f22(f5(x3151),x3152),x3153),x3153,x3151),x3152)
% 0.69/0.82 [359]~P30(x3591)+E(f22(f22(f5(x3591),f21(x3592,x3591)),f21(x3593,x3591)),f21(f22(f22(f5(a1),x3592),x3593),x3591))
% 0.69/0.82 [509]P9(a10,x5091,f19(x5092,x5091,x5093),a13)+~P31(f22(f22(a10,f18(a11,f3(x5092),x5091,a13,a13)),x5093))
% 0.69/0.82 [512]E(f18(a11,f3(x5121),f19(x5121,x5122,x5123),a13,a13),x5123)+~P31(f22(f22(a10,f18(a11,f3(x5121),x5122,a13,a13)),x5123))
% 0.69/0.82 [465]P31(f22(x4651,x4652))+~P31(f22(x4651,f6(f22(f22(f5(a1),x4653),x4652),x4653,a1)))
% 0.69/0.82 [495]P12(x4951,x4952,f33(x4953,x4951,x4954,x4952))+~P6(x4951,f18(a11,x4954,x4952,a13,a13),x4953)
% 0.69/0.82 [496]P12(x4961,x4962,f34(x4963,x4961,x4964,x4962))+~P6(x4961,f18(a11,x4964,x4962,a13,a13),x4963)
% 0.69/0.82 [297]E(x2971,x2972)+~E(f22(f22(a11,x2973),x2971),f22(f22(a11,x2974),x2972))
% 0.69/0.82 [298]E(x2981,x2982)+~E(f22(f22(a27,x2983),x2981),f22(f22(a27,x2984),x2982))
% 0.69/0.82 [299]E(x2991,x2992)+~E(f22(f22(a11,x2991),x2993),f22(f22(a11,x2992),x2994))
% 0.69/0.82 [300]E(x3001,x3002)+~E(f22(f22(a27,x3001),x3003),f22(f22(a27,x3002),x3004))
% 0.69/0.82 [446]E(f16(f17(x4461,f22(f22(f5(a1),x4462),f7(a1))),f17(x4463,x4462),x4464),f17(f16(x4461,x4463,x4464),x4462))+~P8(x4464,f22(f22(f5(a1),x4462),f7(a1)),a1)
% 0.69/0.82 [451]P6(x4511,x4512,f32(x4513,x4511,x4514,x4512))+~P6(x4511,f22(f22(a11,x4514),x4512),x4513)
% 0.69/0.82 [454]~P31(f22(f22(a10,x4541),x4544))+P31(f22(f22(a10,f16(x4541,x4542,x4543)),f16(x4544,x4542,x4543)))
% 0.69/0.82 [462]P31(f22(f22(f23(a10,a13),f16(x4621,x4622,x4623)),f16(x4621,x4624,x4623)))+~P31(f22(f22(a10,x4622),x4624))
% 0.69/0.82 [466]P6(x4661,f9(x4662),f22(f22(a27,x4663),x4664))+~P6(f28(x4661,f4(a1),x4663,a38),x4662,x4664)
% 0.69/0.82 [491]E(x4911,x4912)+~E(f18(a11,f3(x4913),x4911,a13,a13),f18(a11,f3(x4914),x4912,a13,a13))
% 0.69/0.82 [492]E(x4921,x4922)+~E(f18(a11,f9(x4923),x4921,a13,a13),f18(a11,f9(x4924),x4922,a13,a13))
% 0.69/0.82 [493]E(x4931,x4932)+~E(f18(a11,f3(x4931),x4933,a13,a13),f18(a11,f3(x4932),x4934,a13,a13))
% 0.69/0.82 [494]E(x4941,x4942)+~E(f18(a11,f9(x4941),x4943,a13,a13),f18(a11,f9(x4942),x4944,a13,a13))
% 0.69/0.82 [497]P12(x4971,x4972,f36(x4973,x4971,x4974,x4972))+~P6(x4971,f18(a11,f3(x4974),x4972,a13,a13),x4973)
% 0.69/0.82 [500]~P6(x5001,f18(a11,x5002,x5004,a13,a13),x5003)+P6(x5001,x5002,f20(a27,f33(x5003,x5001,x5002,x5004),x5003,a38,a38))
% 0.69/0.82 [501]~P6(x5011,f18(a11,x5012,x5014,a13,a13),x5013)+P6(x5011,x5012,f20(a27,f34(x5013,x5011,x5012,x5014),x5013,a38,a38))
% 0.69/0.82 [502]~P6(x5021,f18(a11,f3(x5022),x5024,a13,a13),x5023)+P6(x5021,f3(x5022),f20(a27,f36(x5023,x5021,x5022,x5024),x5023,a38,a38))
% 0.69/0.82 [384]~P31(f22(f22(x3841,x3843),x3844))+P31(f22(f22(f23(x3841,x3842),x3843),x3844))
% 0.69/0.82 [437]~P8(x4372,f22(f22(f5(a1),x4374),f7(a1)),a1)+E(f16(f17(x4371,x4372),f17(x4373,x4372),f22(f22(f5(a1),x4374),f7(a1))),f17(f16(x4371,x4373,x4374),x4372))
% 0.69/0.82 [467]P31(f22(f22(f23(a10,a13),f16(x4671,x4672,x4673)),f16(x4674,x4672,x4673)))+~P31(f22(f22(f23(a10,a13),x4671),x4674))
% 0.69/0.82 [468]P31(f22(f22(f23(a10,a13),f16(x4681,x4682,x4683)),f16(x4681,x4684,x4683)))+~P31(f22(f22(f23(a10,a13),x4682),x4684))
% 0.69/0.82 [484]~P6(x4841,f22(f22(a11,x4842),x4844),x4843)+P6(x4841,x4842,f22(f22(a27,f32(x4843,x4841,x4842,x4844)),x4843))
% 0.69/0.82 [385]~P13(x3851)+E(f22(f22(f5(x3851),x3852),f22(f22(f5(x3851),x3853),x3854)),f22(f22(f5(x3851),x3853),f22(f22(f5(x3851),x3852),x3854)))
% 0.69/0.82 [386]~P24(x3861)+E(f22(f22(f5(x3861),x3862),f22(f22(f5(x3861),x3863),x3864)),f22(f22(f5(x3861),x3863),f22(f22(f5(x3861),x3862),x3864)))
% 0.69/0.82 [387]~P14(x3871)+E(f22(f22(f5(x3871),x3872),f22(f22(f5(x3871),x3873),x3874)),f22(f22(f5(x3871),x3873),f22(f22(f5(x3871),x3872),x3874)))
% 0.69/0.82 [475]~P31(f22(f22(f23(x4751,x4752),x4754),x4753))+P31(f22(f22(f23(f24(x4751,x4752,x4752),x4752),x4753),x4754))
% 0.69/0.82 [476]P31(f22(f22(f23(x4761,x4762),x4763),x4764))+~P31(f22(f22(f23(f24(x4761,x4762,x4762),x4762),x4764),x4763))
% 0.69/0.82 [490]~P23(x4901)+E(f18(f5(x4901),f22(f22(f5(x4901),x4902),x4903),x4904,x4901,x4901),f22(f22(f5(x4901),x4902),f18(f5(x4901),x4903,x4904,x4901,x4901)))
% 0.69/0.82 [421]~P4(x4211)+E(f22(f22(f5(x4211),f22(f22(f5(x4211),x4212),x4213)),x4214),f22(f22(f5(x4211),x4212),f22(f22(f5(x4211),x4213),x4214)))
% 0.69/0.82 [422]~P24(x4221)+E(f22(f22(f5(x4221),f22(f22(f5(x4221),x4222),x4223)),x4224),f22(f22(f5(x4221),x4222),f22(f22(f5(x4221),x4223),x4224)))
% 0.69/0.82 [423]~P14(x4231)+E(f22(f22(f5(x4231),f22(f22(f5(x4231),x4232),x4233)),x4234),f22(f22(f5(x4231),x4232),f22(f22(f5(x4231),x4233),x4234)))
% 0.69/0.82 [436]~P24(x4361)+E(f22(f22(f5(x4361),f22(f22(f5(x4361),x4362),x4363)),x4364),f22(f22(f5(x4361),f22(f22(f5(x4361),x4362),x4364)),x4363))
% 0.69/0.82 [447]~P6(x4471,x4474,x4475)+P6(f28(x4471,x4472,x4473,a38),f17(x4474,x4472),x4475)
% 0.69/0.82 [439]~P8(x4395,x4392,a1)+E(f22(f28(x4391,x4392,x4393,x4394),x4395),f22(x4391,x4395))
% 0.69/0.82 [461]E(f16(f16(x4611,f17(x4612,x4613),f22(f22(f5(a1),x4614),f7(a1))),f16(x4615,x4612,x4614),x4613),f16(f16(x4611,x4615,x4613),x4612,x4614))+~P8(x4613,f22(f22(f5(a1),x4614),f7(a1)),a1)
% 0.69/0.82 [445]~P31(f22(f22(x4451,x4455),x4454))+P31(f22(f22(f24(x4451,x4452,x4453),x4454),x4455))
% 0.69/0.82 [448]~P8(x4482,x4485,a1)+E(f22(f28(x4481,x4482,x4483,x4484),x4485),f22(x4481,f6(x4485,f7(a1),a1)))
% 0.69/0.82 [460]P31(f22(f22(x4601,x4602),x4603))+~P31(f22(f22(f24(x4601,x4604,x4605),x4603),x4602))
% 0.69/0.82 [450]~P24(x4501)+E(f22(f22(f5(x4501),f22(f22(f5(x4501),x4502),x4503)),f22(f22(f5(x4501),x4504),x4505)),f22(f22(f5(x4501),f22(f22(f5(x4501),x4502),x4504)),f22(f22(f5(x4501),x4503),x4505)))
% 0.69/0.82 [290]E(x2901,x2902)+P8(x2902,x2901,a1)+P8(x2901,x2902,a1)
% 0.69/0.82 [271]~P28(x2712)+~P10(x2712)+E(f6(x2711,x2711,x2712),f4(x2712))
% 0.69/0.82 [324]E(x3241,x3242)+~E(f6(x3242,x3241,a1),f4(a1))+~E(f6(x3241,x3242,a1),f4(a1))
% 0.69/0.82 [332]~P21(x3321)+P8(f4(x3321),f21(x3322,x3321),x3321)+~P8(f4(a1),x3322,a1)
% 0.69/0.82 [336]~P21(x3362)+~P8(f4(x3362),f21(x3361,x3362),x3362)+P8(f4(a1),x3361,a1)
% 0.69/0.82 [400]P8(f6(x4001,x4002,a1),x4001,a1)+~P8(f4(a1),x4002,a1)+~P8(f4(a1),x4001,a1)
% 0.69/0.82 [272]~P28(x2721)+~P10(x2721)+E(f22(f22(f5(x2721),x2722),f4(x2721)),x2722)
% 0.69/0.82 [377]~P8(x3771,x3772,a1)+P8(f22(f22(f5(a1),x3771),f7(a1)),x3772,a1)+E(f22(f22(f5(a1),x3771),f7(a1)),x3772)
% 0.69/0.82 [379]E(x3791,x3792)+P8(x3792,x3791,a1)+~P8(x3792,f22(f22(f5(a1),x3791),f7(a1)),a1)
% 0.69/0.82 [381]E(x3811,x3812)+P8(x3811,x3812,a1)+~P8(x3811,f22(f22(f5(a1),x3812),f7(a1)),a1)
% 0.69/0.82 [283]~P18(x2832)+E(x2831,f4(x2832))+~E(f22(f22(f5(x2832),x2831),x2831),f4(x2832))
% 0.69/0.82 [316]E(x3161,f4(a1))+E(x3162,f4(a1))+~E(f22(f22(f5(a1),x3162),x3161),f22(f22(f5(a1),f4(a1)),f7(a1)))
% 0.69/0.82 [317]E(x3171,f4(a1))+E(x3172,f4(a1))+~E(f22(f22(f5(a1),f4(a1)),f7(a1)),f22(f22(f5(a1),x3172),x3171))
% 0.69/0.82 [342]E(x3421,f4(a1))+E(x3421,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),x3422),x3421),f22(f22(f5(a1),f4(a1)),f7(a1)))
% 0.69/0.82 [343]E(x3431,f4(a1))+E(x3431,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),x3431),x3432),f22(f22(f5(a1),f4(a1)),f7(a1)))
% 0.69/0.82 [344]E(x3441,f4(a1))+E(x3441,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),f4(a1)),f7(a1)),f22(f22(f5(a1),x3442),x3441))
% 0.69/0.82 [345]E(x3451,f4(a1))+E(x3451,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),f4(a1)),f7(a1)),f22(f22(f5(a1),x3451),x3452))
% 0.69/0.82 [367]~P18(x3671)+~P8(f4(x3671),x3672,x3671)+P8(f4(x3671),f22(f22(f5(x3671),x3672),x3672),x3671)
% 0.69/0.82 [368]~P18(x3681)+~P8(x3682,f4(x3681),x3681)+P8(f22(f22(f5(x3681),x3682),x3682),f4(x3681),x3681)
% 0.69/0.82 [369]~P29(x3691)+~P8(x3692,f4(x3691),x3691)+P8(f22(f22(f5(x3691),x3692),x3692),f4(x3691),x3691)
% 0.69/0.82 [372]E(x3721,f22(f22(f5(a1),f4(a1)),f7(a1)))+E(x3722,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),x3722),x3721),f22(f22(f5(a1),f4(a1)),f7(a1)))
% 0.69/0.82 [373]E(x3731,f22(f22(f5(a1),f4(a1)),f7(a1)))+E(x3732,f22(f22(f5(a1),f4(a1)),f7(a1)))+~E(f22(f22(f5(a1),f4(a1)),f7(a1)),f22(f22(f5(a1),x3732),x3731))
% 0.69/0.82 [394]~P18(x3942)+P8(x3941,f4(x3942),x3942)+~P8(f22(f22(f5(x3942),x3941),x3941),f4(x3942),x3942)
% 0.69/0.82 [395]~P29(x3952)+P8(x3951,f4(x3952),x3952)+~P8(f22(f22(f5(x3952),x3951),x3951),f4(x3952),x3952)
% 0.69/0.82 [396]~P18(x3961)+P8(f4(x3961),x3962,x3961)+~P8(f4(x3961),f22(f22(f5(x3961),x3962),x3962),x3961)
% 0.69/0.82 [401]P8(f4(a1),x4011,a1)+P8(f4(a1),x4012,a1)+~P8(f4(a1),f22(f22(f5(a1),x4011),x4012),a1)
% 0.69/0.82 [325]~P8(x3253,x3252,x3251)+~P25(x3251)+~P8(x3252,x3253,x3251)
% 0.69/0.82 [327]~P8(x3273,x3272,x3271)+~P27(x3271)+~P8(x3272,x3273,x3271)
% 0.69/0.82 [328]~P8(x3283,x3282,x3281)+~P26(x3281)+~P8(x3282,x3283,x3281)
% 0.69/0.82 [258]~P5(x2583)+E(x2581,x2582)+~E(f21(x2581,x2583),f21(x2582,x2583))
% 0.69/0.82 [284]~P17(x2843)+E(x2841,x2842)+~E(f6(x2841,x2842,x2843),f4(x2843))
% 0.69/0.82 [285]~P13(x2853)+E(x2851,x2852)+~E(f6(x2851,x2852,x2853),f4(x2853))
% 0.69/0.82 [335]~P21(x3352)+~P8(x3351,x3353,a1)+P8(f21(x3351,x3352),f21(x3353,x3352),x3352)
% 0.69/0.82 [350]~P21(x3503)+~P8(f21(x3501,x3503),f21(x3502,x3503),x3503)+P8(x3501,x3502,a1)
% 0.69/0.82 [365]~P20(x3653)+~P8(x3651,x3652,x3653)+P8(f6(x3651,x3652,x3653),f4(x3653),x3653)
% 0.69/0.82 [397]~P20(x3973)+P8(x3971,x3972,x3973)+~P8(f6(x3971,x3972,x3973),f4(x3973),x3973)
% 0.69/0.82 [425]~P8(x4253,x4252,a1)+~P8(x4253,x4251,a1)+P8(f6(x4251,x4252,a1),f6(x4251,x4253,a1),a1)
% 0.69/0.82 [306]E(x3061,x3062)+P8(x3062,x3061,a1)+E(f16(f3(x3061),x3063,x3062),f3(x3061))
% 0.69/0.82 [390]~P8(x3901,x3903,a1)+~P8(x3903,x3902,a1)+P8(f22(f22(f5(a1),x3901),f7(a1)),x3902,a1)
% 0.69/0.82 [435]~P8(x4352,x4353,a1)+~P31(f22(x4351,f6(x4352,x4353,a1)))+P31(f22(x4351,f4(a1)))
% 0.69/0.82 [503]~P11(f24(a10,a13,a13),x5032,a13)+~P11(f24(a10,a13,a13),f18(a11,f16(x5031,x5032,f4(a1)),x5033,a13,a13),a13)+P11(f24(a10,a13,a13),f18(a11,f22(f22(a11,f9(x5031)),x5032),x5033,a13,a13),a13)
% 0.69/0.82 [505]~P31(f22(a8,x5052))+~P31(f22(a8,f18(a11,f16(x5051,x5052,f4(a1)),x5053,a13,a13)))+P31(f22(a8,f18(a11,f22(f22(a11,f9(x5051)),x5052),x5053,a13,a13)))
% 0.69/0.82 [329]~P13(x3294)+E(x3291,x3292)+~E(f6(x3293,x3293,x3294),f6(x3291,x3292,x3294))
% 0.69/0.82 [330]~P13(x3303)+E(x3301,x3302)+~E(f6(x3301,x3302,x3303),f6(x3304,x3304,x3303))
% 0.69/0.82 [364]P6(x3641,x3642,x3643)+~P6(x3641,x3644,x3643)+~P31(f22(f22(a10,x3644),x3642))
% 0.69/0.82 [371]P11(x3711,x3712,x3713)+~P11(x3711,x3714,x3713)+~P31(f22(f22(x3711,x3712),x3714))
% 0.69/0.82 [319]~P15(x3193)+E(x3191,x3192)+~E(f22(f22(f5(x3193),x3194),x3191),f22(f22(f5(x3193),x3194),x3192))
% 0.69/0.82 [320]~P16(x3203)+E(x3201,x3202)+~E(f22(f22(f5(x3203),x3204),x3201),f22(f22(f5(x3203),x3204),x3202))
% 0.69/0.82 [321]~P16(x3213)+E(x3211,x3212)+~E(f22(f22(f5(x3213),x3211),x3214),f22(f22(f5(x3213),x3212),x3214))
% 0.69/0.82 [376]~P8(x3764,x3763,a1)+P8(x3761,x3762,a1)+~E(f22(f22(f5(a1),x3761),x3763),f22(f22(f5(a1),x3764),x3762))
% 0.69/0.82 [404]~P2(x4041)+~P8(x4042,x4044,x4041)+P8(f22(f22(f5(x4041),x4042),x4043),f22(f22(f5(x4041),x4044),x4043),x4041)
% 0.69/0.82 [405]~P19(x4051)+~P8(x4052,x4054,x4051)+P8(f22(f22(f5(x4051),x4052),x4053),f22(f22(f5(x4051),x4054),x4053),x4051)
% 0.69/0.82 [406]~P2(x4061)+~P8(x4063,x4064,x4061)+P8(f22(f22(f5(x4061),x4062),x4063),f22(f22(f5(x4061),x4062),x4064),x4061)
% 0.69/0.82 [407]~P19(x4071)+~P8(x4073,x4074,x4071)+P8(f22(f22(f5(x4071),x4072),x4073),f22(f22(f5(x4071),x4072),x4074),x4071)
% 0.69/0.82 [415]P6(x4151,x4152,x4153)+~P6(x4151,x4154,x4153)+~P31(f22(f22(f23(a10,a13),x4154),x4152))
% 0.69/0.82 [416]~P8(x4162,x4164,a1)+~P8(x4161,x4163,a1)+P8(f22(f22(f5(a1),x4161),x4162),f22(f22(f5(a1),x4163),x4164),a1)
% 0.69/0.82 [427]P11(x4271,x4272,x4273)+~P11(x4271,x4274,x4273)+~P31(f22(f22(f23(x4271,x4273),x4272),x4274))
% 0.69/0.82 [433]~P19(x4333)+P8(x4331,x4332,x4333)+~P8(f22(f22(f5(x4333),x4334),x4331),f22(f22(f5(x4333),x4334),x4332),x4333)
% 0.69/0.82 [434]~P19(x4343)+P8(x4341,x4342,x4343)+~P8(f22(f22(f5(x4343),x4341),x4344),f22(f22(f5(x4343),x4342),x4344),x4343)
% 0.69/0.82 [469]~P31(f22(f22(f23(a10,a13),x4691),x4693))+~P31(f22(f22(f23(a10,a13),x4692),x4694))+P31(f22(f22(f23(a10,a13),f22(f22(a11,x4691),x4692)),f22(f22(a11,x4693),x4694)))
% 0.69/0.82 [499]~P12(x4991,x4993,x4995)+~P6(x4991,x4992,f20(a27,x4995,x4994,a38,a38))+P6(x4991,f18(a11,x4992,x4993,a13,a13),x4994)
% 0.69/0.82 [418]~P6(x4181,x4183,x4185)+~P6(x4181,x4182,f22(f22(a27,x4185),x4184))+P6(x4181,f22(f22(a11,x4182),x4183),x4184)
% 0.69/0.82 [504]E(x5041,x5042)+~P6(x5043,f18(a11,f3(x5044),x5045,a13,a13),x5041)+~P6(x5043,f18(a11,f3(x5044),x5045,a13,a13),x5042)
% 0.69/0.82 [440]~P31(f22(f22(x4401,x4405),x4404))+~P31(f22(f22(f23(x4401,x4402),x4403),x4405))+P31(f22(f22(f23(x4401,x4402),x4403),x4404))
% 0.69/0.82 [441]~P31(f22(f22(x4411,x4413),x4415))+~P31(f22(f22(f23(x4411,x4412),x4415),x4414))+P31(f22(f22(f23(x4411,x4412),x4413),x4414))
% 0.69/0.82 [452]~P31(f22(f22(f23(x4521,x4522),x4523),x4525))+P31(f22(f22(f23(x4521,x4522),x4523),x4524))+~P31(f22(f22(f23(x4521,x4522),x4525),x4524))
% 0.69/0.82 [413]~P13(x4131)+E(f22(f22(f5(x4131),x4132),x4133),x4134)+~E(f22(f22(f5(x4131),x4132),f22(f22(f5(x4131),x4135),x4133)),f22(f22(f5(x4131),x4135),x4134))
% 0.69/0.82 [470]~P6(x4701,x4703,x4706)+P6(x4701,f16(x4702,x4703,x4704),x4705)+~P6(f28(x4701,x4704,x4706,a38),x4702,x4705)
% 0.69/0.82 [301]P8(x3011,x3012,x3013)+~P29(x3013)+E(x3011,x3012)+P8(x3012,x3011,x3013)
% 0.69/0.82 [305]P8(x3051,x3052,x3053)+~P26(x3053)+E(x3051,x3052)+P8(x3052,x3051,x3053)
% 0.69/0.82 [288]~P28(x2883)+~P10(x2883)+E(x2881,x2882)+~E(f6(x2881,x2882,x2883),f4(x2883))
% 0.69/0.82 [286]~P28(x2862)+~P10(x2862)+E(x2861,f4(x2862))+~E(f22(f22(f5(x2862),x2863),x2861),x2863)
% 0.69/0.82 [410]~P22(x4101)+~P8(f4(x4101),x4103,x4101)+~P8(f4(x4101),x4102,x4101)+P8(f4(x4101),f22(f22(f5(x4101),x4102),x4103),x4101)
% 0.69/0.82 [411]~P22(x4111)+~P8(x4113,f4(x4111),x4111)+~P8(x4112,f4(x4111),x4111)+P8(f22(f22(f5(x4111),x4112),x4113),f4(x4111),x4111)
% 0.69/0.82 [353]~P25(x3533)+~P8(x3531,x3534,x3533)+P8(x3531,x3532,x3533)+~P8(x3534,x3532,x3533)
% 0.69/0.82 [354]~P27(x3543)+~P8(x3541,x3544,x3543)+P8(x3541,x3542,x3543)+~P8(x3544,x3542,x3543)
% 0.69/0.82 [472]~P6(x4723,x4721,a41)+~P6(f28(x4723,x4722,a41,a38),a40,x4724)+~P31(f22(a8,x4721))+P31(f22(a8,f16(a40,x4721,x4722)))
% 0.69/0.82 [331]~P28(x3313)+~P10(x3313)+E(x3311,x3312)+~E(f22(f22(f5(x3313),x3314),x3311),f22(f22(f5(x3313),x3314),x3312))
% 0.69/0.82 [402]~P21(x4022)+~P8(x4021,x4024,x4022)+~P8(f4(x4022),x4023,x4022)+P8(x4021,f22(f22(f5(x4022),x4023),x4024),x4022)
% 0.69/0.82 [510]~P6(x5103,x5101,a41)+~P6(f28(x5103,x5102,a41,a38),f18(a11,f16(a50,a40,f4(a1)),a48,a13,a13),x5104)+~P31(f22(a8,x5101))+P31(f22(a8,f16(f18(a11,f16(a50,a40,f4(a1)),a48,a13,a13),x5101,x5102)))
% 0.69/0.82 [392]~P20(x3923)+~P8(x3924,x3925,x3923)+P8(x3921,x3922,x3923)+~E(f6(x3924,x3925,x3923),f6(x3921,x3922,x3923))
% 0.69/0.82 [393]~P20(x3933)+~P8(x3934,x3935,x3933)+P8(x3931,x3932,x3933)+~E(f6(x3931,x3932,x3933),f6(x3934,x3935,x3933))
% 0.69/0.82 [429]~P2(x4291)+~P8(x4293,x4295,x4291)+~P8(x4292,x4294,x4291)+P8(f22(f22(f5(x4291),x4292),x4293),f22(f22(f5(x4291),x4294),x4295),x4291)
% 0.69/0.82 [511]~P12(x5111,x5115,x5116)+P12(x5111,x5112,f37(x5113,x5114,x5111,x5112))+~P6(x5111,f18(a11,f3(x5117),x5115,a13,a13),x5114)+~P6(x5111,f18(a11,f18(a11,f3(x5117),x5115,a13,a13),x5112,a13,a13),x5113)
% 0.69/0.82 [513]~P12(x5133,x5135,x5136)+~P6(x5133,f18(a11,f3(x5137),x5135,a13,a13),x5132)+~P6(x5133,f18(a11,f18(a11,f3(x5137),x5135,a13,a13),x5134,a13,a13),x5131)+E(f20(a27,f37(x5131,x5132,x5133,x5134),x5131,a38,a38),x5132)
% 0.69/0.82 [473]~P6(x4736,x4732,x4735)+~P6(f28(x4736,x4733,x4735,a38),x4731,x4737)+~P31(f22(a8,x4732))+~P31(f22(a8,x4731))+~E(f22(f22(a27,x4734),x4735),a41)+P31(f22(a8,f16(x4731,x4732,x4733)))
% 0.69/0.82 [474]~P6(x4746,x4742,x4744)+~P6(f28(x4746,x4743,x4744,a38),x4741,x4747)+~P31(f22(a8,x4742))+~P31(f22(a8,x4741))+~E(f22(f22(a27,x4744),x4745),a41)+P31(f22(a8,f16(x4741,x4742,x4743)))
% 0.69/0.82 %EqnAxiom
% 0.69/0.82 [1]E(x11,x11)
% 0.69/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.82 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.69/0.82 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.69/0.82 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.69/0.82 [7]~E(x71,x72)+E(f18(x71,x73,x74,x75,x76),f18(x72,x73,x74,x75,x76))
% 0.69/0.82 [8]~E(x81,x82)+E(f18(x83,x81,x84,x85,x86),f18(x83,x82,x84,x85,x86))
% 0.69/0.82 [9]~E(x91,x92)+E(f18(x93,x94,x91,x95,x96),f18(x93,x94,x92,x95,x96))
% 0.69/0.82 [10]~E(x101,x102)+E(f18(x103,x104,x105,x101,x106),f18(x103,x104,x105,x102,x106))
% 0.69/0.82 [11]~E(x111,x112)+E(f18(x113,x114,x115,x116,x111),f18(x113,x114,x115,x116,x112))
% 0.69/0.82 [12]~E(x121,x122)+E(f14(x121,x123),f14(x122,x123))
% 0.69/0.82 [13]~E(x131,x132)+E(f14(x133,x131),f14(x133,x132))
% 0.69/0.82 [14]~E(x141,x142)+E(f22(x141,x143),f22(x142,x143))
% 0.69/0.82 [15]~E(x151,x152)+E(f22(x153,x151),f22(x153,x152))
% 0.69/0.82 [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 0.69/0.82 [17]~E(x171,x172)+E(f5(x171),f5(x172))
% 0.69/0.82 [18]~E(x181,x182)+E(f17(x181,x183),f17(x182,x183))
% 0.69/0.82 [19]~E(x191,x192)+E(f17(x193,x191),f17(x193,x192))
% 0.69/0.82 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 0.69/0.82 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 0.69/0.82 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 0.69/0.82 [23]~E(x231,x232)+E(f24(x231,x233,x234),f24(x232,x233,x234))
% 0.69/0.82 [24]~E(x241,x242)+E(f24(x243,x241,x244),f24(x243,x242,x244))
% 0.69/0.82 [25]~E(x251,x252)+E(f24(x253,x254,x251),f24(x253,x254,x252))
% 0.69/0.82 [26]~E(x261,x262)+E(f6(x261,x263,x264),f6(x262,x263,x264))
% 0.69/0.82 [27]~E(x271,x272)+E(f6(x273,x271,x274),f6(x273,x272,x274))
% 0.69/0.82 [28]~E(x281,x282)+E(f6(x283,x284,x281),f6(x283,x284,x282))
% 0.69/0.82 [29]~E(x291,x292)+E(f9(x291),f9(x292))
% 0.69/0.82 [30]~E(x301,x302)+E(f23(x301,x303),f23(x302,x303))
% 0.69/0.82 [31]~E(x311,x312)+E(f23(x313,x311),f23(x313,x312))
% 0.69/0.82 [32]~E(x321,x322)+E(f20(x321,x323,x324,x325,x326),f20(x322,x323,x324,x325,x326))
% 0.69/0.82 [33]~E(x331,x332)+E(f20(x333,x331,x334,x335,x336),f20(x333,x332,x334,x335,x336))
% 0.69/0.82 [34]~E(x341,x342)+E(f20(x343,x344,x341,x345,x346),f20(x343,x344,x342,x345,x346))
% 0.69/0.82 [35]~E(x351,x352)+E(f20(x353,x354,x355,x351,x356),f20(x353,x354,x355,x352,x356))
% 0.69/0.82 [36]~E(x361,x362)+E(f20(x363,x364,x365,x366,x361),f20(x363,x364,x365,x366,x362))
% 0.69/0.82 [37]~E(x371,x372)+E(f28(x371,x373,x374,x375),f28(x372,x373,x374,x375))
% 0.69/0.82 [38]~E(x381,x382)+E(f28(x383,x381,x384,x385),f28(x383,x382,x384,x385))
% 0.69/0.82 [39]~E(x391,x392)+E(f28(x393,x394,x391,x395),f28(x393,x394,x392,x395))
% 0.69/0.82 [40]~E(x401,x402)+E(f28(x403,x404,x405,x401),f28(x403,x404,x405,x402))
% 0.69/0.82 [41]~E(x411,x412)+E(f21(x411,x413),f21(x412,x413))
% 0.69/0.82 [42]~E(x421,x422)+E(f21(x423,x421),f21(x423,x422))
% 0.69/0.82 [43]~E(x431,x432)+E(f15(x431),f15(x432))
% 0.69/0.82 [44]~E(x441,x442)+E(f36(x441,x443,x444,x445),f36(x442,x443,x444,x445))
% 0.69/0.82 [45]~E(x451,x452)+E(f36(x453,x451,x454,x455),f36(x453,x452,x454,x455))
% 0.69/0.82 [46]~E(x461,x462)+E(f36(x463,x464,x461,x465),f36(x463,x464,x462,x465))
% 0.69/0.82 [47]~E(x471,x472)+E(f36(x473,x474,x475,x471),f36(x473,x474,x475,x472))
% 0.69/0.82 [48]~E(x481,x482)+E(f32(x481,x483,x484,x485),f32(x482,x483,x484,x485))
% 0.69/0.82 [49]~E(x491,x492)+E(f32(x493,x491,x494,x495),f32(x493,x492,x494,x495))
% 0.69/0.82 [50]~E(x501,x502)+E(f32(x503,x504,x501,x505),f32(x503,x504,x502,x505))
% 0.69/0.82 [51]~E(x511,x512)+E(f32(x513,x514,x515,x511),f32(x513,x514,x515,x512))
% 0.69/0.82 [52]~E(x521,x522)+E(f33(x521,x523,x524,x525),f33(x522,x523,x524,x525))
% 0.69/0.82 [53]~E(x531,x532)+E(f33(x533,x531,x534,x535),f33(x533,x532,x534,x535))
% 0.69/0.82 [54]~E(x541,x542)+E(f33(x543,x544,x541,x545),f33(x543,x544,x542,x545))
% 0.69/0.82 [55]~E(x551,x552)+E(f33(x553,x554,x555,x551),f33(x553,x554,x555,x552))
% 0.69/0.82 [56]~E(x561,x562)+E(f25(x561),f25(x562))
% 0.69/0.82 [57]~E(x571,x572)+E(f26(x571),f26(x572))
% 0.69/0.82 [58]~E(x581,x582)+E(f34(x581,x583,x584,x585),f34(x582,x583,x584,x585))
% 0.69/0.82 [59]~E(x591,x592)+E(f34(x593,x591,x594,x595),f34(x593,x592,x594,x595))
% 0.69/0.82 [60]~E(x601,x602)+E(f34(x603,x604,x601,x605),f34(x603,x604,x602,x605))
% 0.69/0.82 [61]~E(x611,x612)+E(f34(x613,x614,x615,x611),f34(x613,x614,x615,x612))
% 0.69/0.82 [62]~E(x621,x622)+E(f19(x621,x623,x624),f19(x622,x623,x624))
% 0.69/0.82 [63]~E(x631,x632)+E(f19(x633,x631,x634),f19(x633,x632,x634))
% 0.69/0.82 [64]~E(x641,x642)+E(f19(x643,x644,x641),f19(x643,x644,x642))
% 0.69/0.82 [65]~E(x651,x652)+E(f29(x651,x653,x654),f29(x652,x653,x654))
% 0.69/0.82 [66]~E(x661,x662)+E(f29(x663,x661,x664),f29(x663,x662,x664))
% 0.69/0.82 [67]~E(x671,x672)+E(f29(x673,x674,x671),f29(x673,x674,x672))
% 0.69/0.82 [68]~E(x681,x682)+E(f31(x681,x683),f31(x682,x683))
% 0.69/0.82 [69]~E(x691,x692)+E(f31(x693,x691),f31(x693,x692))
% 0.69/0.82 [70]~E(x701,x702)+E(f39(x701,x703),f39(x702,x703))
% 0.69/0.82 [71]~E(x711,x712)+E(f39(x713,x711),f39(x713,x712))
% 0.69/0.82 [72]~E(x721,x722)+E(f35(x721,x723,x724),f35(x722,x723,x724))
% 0.69/0.82 [73]~E(x731,x732)+E(f35(x733,x731,x734),f35(x733,x732,x734))
% 0.69/0.82 [74]~E(x741,x742)+E(f35(x743,x744,x741),f35(x743,x744,x742))
% 0.69/0.82 [75]~E(x751,x752)+E(f37(x751,x753,x754,x755),f37(x752,x753,x754,x755))
% 0.69/0.82 [76]~E(x761,x762)+E(f37(x763,x761,x764,x765),f37(x763,x762,x764,x765))
% 0.69/0.82 [77]~E(x771,x772)+E(f37(x773,x774,x771,x775),f37(x773,x774,x772,x775))
% 0.69/0.82 [78]~E(x781,x782)+E(f37(x783,x784,x785,x781),f37(x783,x784,x785,x782))
% 0.69/0.82 [79]~E(x791,x792)+E(f30(x791,x793),f30(x792,x793))
% 0.69/0.82 [80]~E(x801,x802)+E(f30(x803,x801),f30(x803,x802))
% 0.69/0.82 [81]~P1(x811)+P1(x812)+~E(x811,x812)
% 0.69/0.82 [82]~P2(x821)+P2(x822)+~E(x821,x822)
% 0.69/0.82 [83]~P3(x831)+P3(x832)+~E(x831,x832)
% 0.69/0.82 [84]~P21(x841)+P21(x842)+~E(x841,x842)
% 0.69/0.82 [85]~P19(x851)+P19(x852)+~E(x851,x852)
% 0.69/0.82 [86]~P30(x861)+P30(x862)+~E(x861,x862)
% 0.69/0.82 [87]~P22(x871)+P22(x872)+~E(x871,x872)
% 0.69/0.82 [88]~P4(x881)+P4(x882)+~E(x881,x882)
% 0.69/0.82 [89]~P5(x891)+P5(x892)+~E(x891,x892)
% 0.69/0.82 [90]~P23(x901)+P23(x902)+~E(x901,x902)
% 0.69/0.82 [91]~P24(x911)+P24(x912)+~E(x911,x912)
% 0.69/0.82 [92]~P14(x921)+P14(x922)+~E(x921,x922)
% 0.69/0.82 [93]~P15(x931)+P15(x932)+~E(x931,x932)
% 0.69/0.82 [94]~P16(x941)+P16(x942)+~E(x941,x942)
% 0.69/0.82 [95]~P25(x951)+P25(x952)+~E(x951,x952)
% 0.69/0.82 [96]~P31(x961)+P31(x962)+~E(x961,x962)
% 0.69/0.82 [97]~P27(x971)+P27(x972)+~E(x971,x972)
% 0.69/0.82 [98]P8(x982,x983,x984)+~E(x981,x982)+~P8(x981,x983,x984)
% 0.69/0.82 [99]P8(x993,x992,x994)+~E(x991,x992)+~P8(x993,x991,x994)
% 0.69/0.82 [100]P8(x1003,x1004,x1002)+~E(x1001,x1002)+~P8(x1003,x1004,x1001)
% 0.69/0.82 [101]~P26(x1011)+P26(x1012)+~E(x1011,x1012)
% 0.69/0.82 [102]P6(x1022,x1023,x1024)+~E(x1021,x1022)+~P6(x1021,x1023,x1024)
% 0.69/0.82 [103]P6(x1033,x1032,x1034)+~E(x1031,x1032)+~P6(x1033,x1031,x1034)
% 0.69/0.82 [104]P6(x1043,x1044,x1042)+~E(x1041,x1042)+~P6(x1043,x1044,x1041)
% 0.69/0.82 [105]P9(x1052,x1053,x1054,x1055)+~E(x1051,x1052)+~P9(x1051,x1053,x1054,x1055)
% 0.69/0.82 [106]P9(x1063,x1062,x1064,x1065)+~E(x1061,x1062)+~P9(x1063,x1061,x1064,x1065)
% 0.69/0.82 [107]P9(x1073,x1074,x1072,x1075)+~E(x1071,x1072)+~P9(x1073,x1074,x1071,x1075)
% 0.69/0.82 [108]P9(x1083,x1084,x1085,x1082)+~E(x1081,x1082)+~P9(x1083,x1084,x1085,x1081)
% 0.69/0.82 [109]~P32(x1091)+P32(x1092)+~E(x1091,x1092)
% 0.69/0.82 [110]P11(x1102,x1103,x1104)+~E(x1101,x1102)+~P11(x1101,x1103,x1104)
% 0.69/0.82 [111]P11(x1113,x1112,x1114)+~E(x1111,x1112)+~P11(x1113,x1111,x1114)
% 0.69/0.82 [112]P11(x1123,x1124,x1122)+~E(x1121,x1122)+~P11(x1123,x1124,x1121)
% 0.69/0.82 [113]P12(x1132,x1133,x1134)+~E(x1131,x1132)+~P12(x1131,x1133,x1134)
% 0.69/0.82 [114]P12(x1143,x1142,x1144)+~E(x1141,x1142)+~P12(x1143,x1141,x1144)
% 0.69/0.82 [115]P12(x1153,x1154,x1152)+~E(x1151,x1152)+~P12(x1153,x1154,x1151)
% 0.69/0.82 [116]~P17(x1161)+P17(x1162)+~E(x1161,x1162)
% 0.69/0.82 [117]P7(x1172,x1173,x1174)+~E(x1171,x1172)+~P7(x1171,x1173,x1174)
% 0.69/0.82 [118]P7(x1183,x1182,x1184)+~E(x1181,x1182)+~P7(x1183,x1181,x1184)
% 0.69/0.82 [119]P7(x1193,x1194,x1192)+~E(x1191,x1192)+~P7(x1193,x1194,x1191)
% 0.69/0.82 [120]~P28(x1201)+P28(x1202)+~E(x1201,x1202)
% 0.69/0.82 [121]~P10(x1211)+P10(x1212)+~E(x1211,x1212)
% 0.69/0.82 [122]~P20(x1221)+P20(x1222)+~E(x1221,x1222)
% 0.69/0.82 [123]~P18(x1231)+P18(x1232)+~E(x1231,x1232)
% 0.69/0.82 [124]~P13(x1241)+P13(x1242)+~E(x1241,x1242)
% 0.69/0.82 [125]~P29(x1251)+P29(x1252)+~E(x1251,x1252)
% 0.69/0.82
% 0.69/0.82 %-------------------------------------------
% 0.69/0.82 cnf(526,plain,
% 0.69/0.82 (~P8(f22(f22(f5(a1),x5261),x5262),x5262,a1)),
% 0.69/0.82 inference(rename_variables,[],[244])).
% 0.69/0.82 cnf(529,plain,
% 0.69/0.82 (~P8(f22(f22(f5(a1),x5291),x5292),x5292,a1)),
% 0.69/0.82 inference(rename_variables,[],[244])).
% 0.69/0.82 cnf(535,plain,
% 0.69/0.82 (~E(f22(f22(f5(a1),x5351),f7(a1)),x5351)),
% 0.69/0.82 inference(rename_variables,[],[233])).
% 0.69/0.82 cnf(540,plain,
% 0.69/0.82 (~E(f22(f22(f5(a1),x5401),f7(a1)),x5401)),
% 0.69/0.82 inference(rename_variables,[],[233])).
% 0.69/0.82 cnf(543,plain,
% 0.69/0.82 (~E(f22(f22(f5(a1),x5431),f7(a1)),x5431)),
% 0.69/0.82 inference(rename_variables,[],[233])).
% 0.69/0.82 cnf(581,plain,
% 0.69/0.82 ($false),
% 0.69/0.82 inference(scs_inference,[],[225,239,143,147,211,223,166,157,230,244,526,529,169,174,233,535,540,543,188,237,207,209,212,2,281,456,391,375,358,349,347,337,479,334,478,477,14,430,389,374,360,291,465,462,438,431,414,412,466,496,495,451]),
% 0.69/0.82 ['proof']).
% 0.69/0.82 % SZS output end Proof
% 0.69/0.82 % Total time :0.060000s
%------------------------------------------------------------------------------