TSTP Solution File: SCT088-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SCT088-1 : 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 : n002.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 14:10:06 EDT 2023

% Result   : Unsatisfiable 3.80s 3.85s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SCT088-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 15:22:01 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 3.64/3.80  %-------------------------------------------
% 3.64/3.80  % File        :CSE---1.6
% 3.64/3.80  % Problem     :theBenchmark
% 3.64/3.80  % Transform   :cnf
% 3.64/3.80  % Format      :tptp:raw
% 3.64/3.80  % Command     :java -jar mcs_scs.jar %d %s
% 3.64/3.80  
% 3.64/3.80  % Result      :Theorem 2.980000s
% 3.64/3.80  % Output      :CNFRefutation 2.980000s
% 3.64/3.80  %-------------------------------------------
% 3.64/3.80  %------------------------------------------------------------------------------
% 3.64/3.80  % File     : SCT088-1 : TPTP v8.1.2. Released v4.1.0.
% 3.64/3.80  % Domain   : Social Choice Theory
% 3.64/3.80  % Problem  : Arrow Order 285_6
% 3.64/3.80  % Version  : Especial.
% 3.64/3.80  % English  : Formalization of two proofs of Arrow's impossibility theorem. One
% 3.64/3.80  %            formalization is based on utility functions, the other one on 
% 3.64/3.80  %            strict partial orders.
% 3.64/3.80  
% 3.64/3.80  % Refs     : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 3.64/3.80  %          : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 3.64/3.80  %          : [BN10]  Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 3.64/3.80  % Source   : [Nip10]
% 3.64/3.80  % Names    : Arrow_Order-285_65 [Nip10]
% 3.64/3.80  
% 3.64/3.80  % Status   : Unsatisfiable
% 3.64/3.80  % Rating   : 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.30 v5.5.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 3.64/3.80  % Syntax   : Number of clauses     :  674 ( 257 unt;  91 nHn; 340 RR)
% 3.64/3.80  %            Number of literals    : 1397 ( 554 equ; 665 neg)
% 3.64/3.80  %            Maximal clause size   :    6 (   2 avg)
% 3.64/3.81  %            Maximal term depth    :    7 (   1 avg)
% 3.64/3.81  %            Number of predicates  :   42 (  41 usr;   1 prp; 0-3 aty)
% 3.64/3.81  %            Number of functors    :   60 (  60 usr;  14 con; 0-5 aty)
% 3.64/3.81  %            Number of variables   : 1725 ( 171 sgn)
% 3.64/3.81  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 3.64/3.81  
% 3.64/3.81  % Comments :
% 3.64/3.81  %------------------------------------------------------------------------------
% 3.64/3.81  cnf(cls_power__strict__decreasing_0,axiom,
% 3.64/3.81      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__iff__Suc__add_1,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__add__Suc2_0,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__add__Suc1_0,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__less__iff__conj_2,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__Suc0_0,axiom,
% 3.64/3.81      ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_diff__less__Suc_0,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_order__less__trans_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_xt1_I10_J_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__gr__0_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_gr__implies__not0_0,axiom,
% 3.64/3.81      ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_not__less0_0,axiom,
% 3.64/3.81      ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_mod__less__divisor_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_not__leE_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.81      | c_lessequals(V_y,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__antisym__conv2_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | ~ c_lessequals(V_x,V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__antisym__conv1_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 3.64/3.81      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__not__less_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.81      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__not__less_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_lessequals(V_y,V_x,T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__not__le_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | ~ c_lessequals(V_x,V_y,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_linorder__not__le_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.81      | c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__le__not__le_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.81      | ~ c_lessequals(V_y,V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_zero__less__Suc_0,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_gr0__conv__Suc_1,axiom,
% 3.64/3.81      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_one__less__power_0,axiom,
% 3.64/3.81      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__neg__neg_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_power__strict__mono_0,axiom,
% 3.64/3.81      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.64/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__max_Oless__infI1_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__max_Oless__infI2_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__less__iff__conj_0,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__less__iff__conj_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__less__iff__disj_1,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_min__less__iff__disj_2,axiom,
% 3.64/3.81      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_Suc__lessI_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 3.64/3.81      | c_Suc(V_m) = V_n
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_not__less__less__Suc__eq_1,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_not__less__eq_1,axiom,
% 3.64/3.81      ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_not__less__eq_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.64/3.81      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__le__less__mono_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.64/3.81      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__less__le__mono_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.64/3.81      | ~ c_lessequals(V_c,V_d,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_Suc__less__eq_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_Suc__mono_0,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__gr__0_2,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__gr__0_1,axiom,
% 3.64/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__neg__nonpos_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.81      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.81  
% 3.64/3.81  cnf(cls_add__nonpos__neg_0,axiom,
% 3.64/3.81      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.81      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.82      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__strict__increasing_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.82      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.64/3.82      | ~ c_lessequals(V_b,V_c,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__strict__increasing2_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.82      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 3.64/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__nonneg__pos_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.64/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__pos__nonneg_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.64/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_zero__less__two_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__less__imp__less__base_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__gt1_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_diff__Suc__less_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_Suc__pred_0,axiom,
% 3.64/3.82      ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_length__greater__0__conv_1,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 3.64/3.82      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_length__greater__0__conv_0,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_list__update__append1_0,axiom,
% 3.64/3.82      ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_list__update__append_0,axiom,
% 3.64/3.82      ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_take__butlast_0,axiom,
% 3.64/3.82      ( c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Otake(V_n,V_xs,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_last__drop_0,axiom,
% 3.64/3.82      ( c_List_Olast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__lessD1_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_trans__less__add1_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_trans__less__add2_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__add__eq__less_0,axiom,
% 3.64/3.82      ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_diff__less__mono2_0,axiom,
% 3.64/3.82      ( 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)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__Suc0_1,axiom,
% 3.64/3.82      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_even__less__0__iff_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_even__less__0__iff_1,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_zero__less__power_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_min__less__iff__disj_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__SucE_0,axiom,
% 3.64/3.82      ( V_m = V_n
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__antisym_0,axiom,
% 3.64/3.82      ( V_m = V_n
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_not__less__less__Suc__eq_0,axiom,
% 3.64/3.82      ( V_n = V_m
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__imp__diff__less_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_mod__if_0,axiom,
% 3.64/3.82      ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__le__not__le_2,axiom,
% 3.64/3.82      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.82      | c_lessequals(V_y,V_x,T_a)
% 3.64/3.82      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_nat__less__le_1,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__not__refl_0,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_order__less__le_1,axiom,
% 3.64/3.82      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__neq__iff_1,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_order__less__irrefl_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__pos__pos_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.82      | V_x = V_y ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | V_x = V_y
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_nat__neq__iff_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.82      | V_m = V_n ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__neqE__nat_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 3.64/3.82      | V_x = V_y ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__neqE_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.82      | V_x = V_y ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__less__linear_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.82      | V_x = V_y
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_linorder__antisym__conv3_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | V_x = V_y
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__strict__mono_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__less__mono_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_order__le__less_1,axiom,
% 3.64/3.82      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.82      | c_lessequals(V_x,V_y,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_order__less__imp__le_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.82      | c_lessequals(V_x,V_y,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__iff__diff__less__0_1,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.82      | ~ 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) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__iff__diff__less__0_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.64/3.82      | 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)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_lessI_0,axiom,
% 3.64/3.82      c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__Suc__eq_2,axiom,
% 3.64/3.82      c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__trans__Suc_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__add__one_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__inject__exp_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 3.64/3.82      | V_m = V_n ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_le__number__of__eq__not__less_0,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | ~ class_Int_Onumber(T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 3.64/3.82      | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_le__number__of__eq__not__less_1,axiom,
% 3.64/3.82      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.82      | ~ class_Int_Onumber(T_a)
% 3.64/3.82      | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_gr0I_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.64/3.82      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_neq0__conv_1,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_pos__add__strict_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__strict__increasing__iff_1,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__strict__increasing__iff_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__strict__increasing_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_power__less__imp__less__exp_0,axiom,
% 3.64/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_not__add__less1_0,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_not__add__less2_0,axiom,
% 3.64/3.82      ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_mod__if_1,axiom,
% 3.64/3.82      ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 3.64/3.82      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__diff__conv_0,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_less__diff__conv_1,axiom,
% 3.64/3.82      ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__strict__right__mono_0,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__less__cancel__right_1,axiom,
% 3.64/3.82      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.64/3.82      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.82  
% 3.64/3.82  cnf(cls_add__less__cancel__right_0,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_add__strict__left__mono_0,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_add__less__cancel__left_1,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_add__less__cancel__left_0,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_add__less__mono1_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_nat__add__left__cancel__less_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_nat__add__left__cancel__less_1,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_xt1_I7_J_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.64/3.83      | ~ c_lessequals(V_z,V_y,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_xt1_I8_J_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.64/3.83      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__le__less__trans_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.64/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__less__le__trans_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.64/3.83      | ~ c_lessequals(V_y,V_z,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_zero__less__diff_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.83      | ~ 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) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_zero__less__diff_1,axiom,
% 3.64/3.83      ( 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)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_Suc__lessD_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_less__SucI_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_diff__less_0,axiom,
% 3.64/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_less__eqI_0,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.64/3.83      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_less__eqI_1,axiom,
% 3.64/3.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.64/3.83      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_add__diff__inverse_0,axiom,
% 3.64/3.83      ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_xt1_I11_J_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.64/3.83      | V_a = V_b
% 3.64/3.83      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_xt1_I12_J_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.64/3.83      | ~ c_lessequals(V_b,V_a,T_a)
% 3.64/3.83      | V_a = V_b ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__le__less_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | V_x = V_y
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__less__le_2,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.83      | V_x = V_y
% 3.64/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__le__neq__trans_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.83      | V_a = V_b
% 3.64/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__neq__le__trans_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.83      | ~ c_lessequals(V_a,V_b,T_a)
% 3.64/3.83      | V_a = V_b ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_linorder__antisym__conv1_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.83      | V_x = V_y
% 3.64/3.83      | ~ c_lessequals(V_x,V_y,T_a)
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_linorder__antisym__conv2_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.83      | V_x = V_y
% 3.64/3.83      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_xt1_I9_J_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 3.64/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__less__asym_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_order__less__asym_H_0,axiom,
% 3.64/3.83      ( ~ class_Orderings_Opreorder(T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.64/3.83  
% 3.64/3.83  cnf(cls_not__one__less__zero_0,axiom,
% 3.64/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.64/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_zero__less__one_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__eq__imp__eq__base_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 3.80/3.83      | V_a = V_b
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__Suc__less__one_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.83      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Suc__diff__1_0,axiom,
% 3.80/3.83      ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Suc__pred_H_0,axiom,
% 3.80/3.83      ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_list__update__append_1,axiom,
% 3.80/3.83      ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a)
% 3.80/3.83      | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_expand__Suc_0,axiom,
% 3.80/3.83      ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_rev__update_0,axiom,
% 3.80/3.83      ( c_List_Orev(c_List_Olist__update(V_xs,V_k,V_y,T_a),T_a) = c_List_Olist__update(c_List_Orev(V_xs,T_a),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_k,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_y,T_a)
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(V_k,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__0L_0,axiom,
% 3.80/3.83      c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__infE_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,V_a,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__infE_1,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__infI1_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__infI2_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.80/3.83      | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__le__iff__disj_1,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__le__iff__disj_2,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,V_y,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_minus__nat_Odiff__0_0,axiom,
% 3.80/3.83      c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diff__self__eq__0_0,axiom,
% 3.80/3.83      c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.80/3.83      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diff__self_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diff__0__right_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_right__minus__eq_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 3.80/3.83      ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 3.80/3.83      | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__eq__self__zero_0,axiom,
% 3.80/3.83      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 3.80/3.83      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.80/3.83      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.83      | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 3.80/3.83      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_rotate__conv__mod_0,axiom,
% 3.80/3.83      c_List_Orotate(V_n,V_xs,T_a) = c_List_Orotate(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_class__semiring_Oadd__c_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_nat__add__commute_0,axiom,
% 3.80/3.83      c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__self_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__by__0_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diff__Suc__1_0,axiom,
% 3.80/3.83      c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__increasing2_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.83      | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_b,V_a,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__increasing_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.83      | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_b,V_c,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__remdups__eq_1,axiom,
% 3.80/3.83      ( c_List_Oremdups(V_xs,T_a) != V_xs
% 3.80/3.83      | c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__remdups__eq_0,axiom,
% 3.80/3.83      ( c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
% 3.80/3.83      | c_List_Oremdups(V_xs,T_a) = V_xs ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Zero__neq__Suc_0,axiom,
% 3.80/3.83      c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_nat_Osimps_I2_J_0,axiom,
% 3.80/3.83      c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__Suc_0,axiom,
% 3.80/3.83      c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__Suc__right_0,axiom,
% 3.80/3.83      c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__0__Suc_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 3.80/3.83      | ~ class_Power_Opower(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_one__le__power_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Oinf__le1_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Oinf__le2_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__infI_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Oinf__greatest_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_take__hd__drop_0,axiom,
% 3.80/3.83      ( c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Otake(c_Suc(V_n),V_xs,T_a)
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_upd__conv__take__nth__drop_0,axiom,
% 3.80/3.83      ( c_List_Olist__update(V_xs,V_i,V_a,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)
% 3.80/3.83      | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__0R_0,axiom,
% 3.80/3.83      c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 3.80/3.83      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 3.80/3.83      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__is__0_0,axiom,
% 3.80/3.83      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.83      | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__is__0_1,axiom,
% 3.80/3.83      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.83      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_double__eq__0__iff_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.83      | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.83      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Suc__inject_0,axiom,
% 3.80/3.83      ( c_Suc(V_x) != c_Suc(V_y)
% 3.80/3.83      | V_x = V_y ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_nat_Oinject_0,axiom,
% 3.80/3.83      ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 3.80/3.83      | V_nat = V_nat_H ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__one__right_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__le__iff__disj_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_lessequals(V_y,V_z,T_a)
% 3.80/3.83      | c_lessequals(V_x,V_z,T_a)
% 3.80/3.83      | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__add__cong_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_one__is__add_1,axiom,
% 3.80/3.83      ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.80/3.83      | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.83      | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_one__is__add_2,axiom,
% 3.80/3.83      ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.80/3.83      | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.83      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diff__Suc__Suc_0,axiom,
% 3.80/3.83      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) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__1_0,axiom,
% 3.80/3.83      c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__eq__if_1,axiom,
% 3.80/3.83      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))
% 3.80/3.83      | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__take_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Oord__class_Omin(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__rotate_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_one__is__add_4,axiom,
% 3.80/3.83      c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__rotate1_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_min__max_Oinf__idem_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.83      | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__append_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__drop_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_diffs0__imp__equal_0,axiom,
% 3.80/3.83      ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.83      | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.83      | V_m = V_n ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_order__eq__iff_2,axiom,
% 3.80/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.80/3.83      | V_x = V_y
% 3.80/3.83      | ~ c_lessequals(V_y,V_x,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_order__antisym_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.80/3.83      | V_x = V_y
% 3.80/3.83      | ~ c_lessequals(V_y,V_x,T_a)
% 3.80/3.83      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_order__antisym__conv_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.80/3.83      | V_x = V_y
% 3.80/3.83      | ~ c_lessequals(V_x,V_y,T_a)
% 3.80/3.83      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__diff__cong_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Oring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_le__iff__diff__le__0_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.83      | c_lessequals(V_a,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_le__iff__diff__le__0_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__splice_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Osplice(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_nat_Osimps_I3_J_0,axiom,
% 3.80/3.83      c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Suc__neq__Zero_0,axiom,
% 3.80/3.83      c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__le__cancel__right_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__le__cancel__right_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | c_lessequals(V_a,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__le__cancel__left_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__le__cancel__left_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.83      | c_lessequals(V_a,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__right__mono_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__left__mono_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_drop__drop_0,axiom,
% 3.80/3.83      c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__le__imp__le__base_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.83      | c_lessequals(V_a,V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.80/3.83      | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_field__power__not__zero_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.83      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_power__eq__0__iff_0,axiom,
% 3.80/3.83      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.80/3.83      | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.80/3.83      | ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.80/3.83      | ~ class_Power_Opower(T_a)
% 3.80/3.83      | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.83      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_take__append_0,axiom,
% 3.80/3.83      c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__butlast_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__add__self2_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__add__self1_0,axiom,
% 3.80/3.83      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.83      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_length__replicate_0,axiom,
% 3.80/3.83      c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.83      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.83      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_Suc__n__not__n_0,axiom,
% 3.80/3.83      c_Suc(V_n) != V_n ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_n__not__Suc__n_0,axiom,
% 3.80/3.83      V_n != c_Suc(V_n) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 3.80/3.83      c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_xt1_I6_J_0,axiom,
% 3.80/3.83      ( ~ class_Orderings_Oorder(T_a)
% 3.80/3.83      | c_lessequals(V_z,V_x,T_a)
% 3.80/3.83      | ~ c_lessequals(V_z,V_y,T_a)
% 3.80/3.83      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.80/3.83  
% 3.80/3.83  cnf(cls_add__nonpos__nonpos_0,axiom,
% 3.80/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.80/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_order__trans_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Opreorder(T_a)
% 3.80/3.84      | c_lessequals(V_x,V_z,T_a)
% 3.80/3.84      | ~ c_lessequals(V_y,V_z,T_a)
% 3.80/3.84      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_order__eq__iff_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Oorder(T_a)
% 3.80/3.84      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_order__eq__refl_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Opreorder(T_a)
% 3.80/3.84      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_le__add__right__mono_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.84      | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(V_c,V_d,T_a)
% 3.80/3.84      | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__diff_0,axiom,
% 3.80/3.84      c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_5,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__number__of_1,axiom,
% 3.80/3.84      ( ~ class_Int_Onumber(T_a)
% 3.80/3.84      | ~ class_HOL_Oord(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_v,T_a)
% 3.80/3.84      | c_lessequals(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__tl_0,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Nitpick_Olist__size__simp_I2_J_1,axiom,
% 3.80/3.84      ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)))
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__rev_0,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_le__eqI_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.80/3.84      | c_lessequals(V_y_H,V_x_H,T_a)
% 3.80/3.84      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_le__eqI_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.80/3.84      | c_lessequals(V_y,V_x,T_a)
% 3.80/3.84      | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zmod__simps_I1_J_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zmod__simps_I2_J_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_1,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_2,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_linorder__linear_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_lessequals(V_y,V_x,T_a)
% 3.80/3.84      | c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__drop_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__take_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__conv__take_0,axiom,
% 3.80/3.84      c_List_Obutlast(V_xs,T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__list__update_0,axiom,
% 3.80/3.84      c_List_Obutlast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__list__update_1,axiom,
% 3.80/3.84      ( c_List_Obutlast(c_List_Olist__update(V_xs,V_k,V_x,T_a),T_a) = c_List_Olist__update(c_List_Obutlast(V_xs,T_a),V_k,V_x,T_a)
% 3.80/3.84      | V_k = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__eq__0__iff_1,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.80/3.84      | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.80/3.84      | ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.80/3.84      | ~ class_Power_Opower(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__0__left_1,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 3.80/3.84      | ~ class_Power_Opower(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__eq__0__iff_2,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.80/3.84      | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.80/3.84      | ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.80/3.84      | ~ class_Power_Opower(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zero__le__one_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__by__1_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_not__one__le__zero_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__0_0,axiom,
% 3.80/3.84      ( ~ class_Power_Opower(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Opwr__0_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__0__conv_1,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__0__conv_0,axiom,
% 3.80/3.84      ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_hd__append_1,axiom,
% 3.80/3.84      ( c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_hd__append_0,axiom,
% 3.80/3.84      c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a) = c_List_Ohd(V_ys,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_One__nat__def_0,axiom,
% 3.80/3.84      c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Cons__number__of_1,axiom,
% 3.80/3.84      ( c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 3.80/3.84      | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Cons__number__of_1,axiom,
% 3.80/3.84      ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)
% 3.80/3.84      | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Suc__Cons_0,axiom,
% 3.80/3.84      c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Suc__Cons_0,axiom,
% 3.80/3.84      c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__conv__conj_0,axiom,
% 3.80/3.84      V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__conv__conj_1,axiom,
% 3.80/3.84      V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_hd__replicate_0,axiom,
% 3.80/3.84      ( c_List_Ohd(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list__update__code_I3_J_0,axiom,
% 3.80/3.84      c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__Suc_0,axiom,
% 3.80/3.84      c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zero__le__power_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__diff__distrib__left_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__append_0,axiom,
% 3.80/3.84      c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list_Osize_I4_J_0,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_4,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__mod__trivial_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Suc__eq__plus1__left_0,axiom,
% 3.80/3.84      c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Suc__eq__plus1_0,axiom,
% 3.80/3.84      c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__0_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__add__cancel_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Suc__length__conv_2,axiom,
% 3.80/3.84      c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__take_0,axiom,
% 3.80/3.84      c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Oord__class_Omin(V_n,V_m,tc_nat),V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__Suc_1,axiom,
% 3.80/3.84      ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 3.80/3.84      | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__rev_0,axiom,
% 3.80/3.84      c_List_Orotate(V_n,c_List_Orev(V_xs,T_a),T_a) = c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),tc_nat),V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__mono_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(V_c,V_d,T_a)
% 3.80/3.84      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__Suc__conv_2,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_double__eq__0__iff_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__0_2,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__add__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__nonneg__nonneg_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.80/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Oadd__a_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__cancel__21_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_nat__add__left__commute_0,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_nat__add__assoc_0,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__cancel__21_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__diff__left__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Oring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__diff__right__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Oring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__one_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 3.80/3.84      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 3.80/3.84      | c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 3.80/3.84      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__add__left__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__add__right__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Osemiring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Oinf__assoc_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_one__is__add_5,axiom,
% 3.80/3.84      c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__add__0_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__diff__left_0,axiom,
% 3.80/3.84      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,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__mono_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.84      | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.80/3.84      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_eq__eqI_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 3.80/3.84      | V_xa = V_y ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_eq__eqI_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.80/3.84      | V_x_H = V_y_H ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_one__is__add_3,axiom,
% 3.80/3.84      ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.80/3.84      | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_one__is__add_0,axiom,
% 3.80/3.84      ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.80/3.84      | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__Suc__shift_0,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_eq__number__of_0,axiom,
% 3.80/3.84      ( ~ class_Int_Oring__char__0(T_a)
% 3.80/3.84      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.84      | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 3.80/3.84      | V_x = V_y ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__0__eq__0_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__cancel2_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__cancel_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__max_Oinf__commute_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.80/3.84      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.84      | V_x = V_y ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_right__minus__eq_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.84      | V_a = V_b ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.80/3.84      | V_a = V_b ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__commute_0,axiom,
% 3.80/3.84      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) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__id_0,axiom,
% 3.80/3.84      ( c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | c_List_Orotate(V_n,V_xs,T_a) = V_xs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_natgb_Oadd__cancel_0,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 3.80/3.84      | V_y = V_z ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_nat__add__right__cancel_0,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 3.80/3.84      | V_m = V_n ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_nat__add__left__cancel_0,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 3.80/3.84      | V_m = V_n ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.80/3.84      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 3.80/3.84      | V_y = V_z ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__imp__eq_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.80/3.84      | V_b = V_c ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__left__cancel_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.80/3.84      | V_b = V_c ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__right__cancel_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 3.80/3.84      | V_b = V_c ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__add__distrib__left_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__diff__eq_0,axiom,
% 3.80/3.84      ( ~ class_Divides_Oring__div(T_a)
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_mod__Suc_0,axiom,
% 3.80/3.84      ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 3.80/3.84      | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_3,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__is__1_0,axiom,
% 3.80/3.84      ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.80/3.84      | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Suc__diff__diff_0,axiom,
% 3.80/3.84      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) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 3.80/3.84      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) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__number__of_0,axiom,
% 3.80/3.84      ( ~ class_Int_Onumber(T_a)
% 3.80/3.84      | ~ class_HOL_Oord(T_a)
% 3.80/3.84      | c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_u,T_a)
% 3.80/3.84      | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_min__Suc__Suc_0,axiom,
% 3.80/3.84      c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_length__list__update_0,axiom,
% 3.80/3.84      c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__inject__base_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 3.80/3.84      | V_a = V_b
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.80/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Oadd__0_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 3.80/3.84      V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_plus__nat_Oadd__0_0,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Nat_Oadd__0__right_0,axiom,
% 3.80/3.84      c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.80/3.84      | ~ class_Int_Onumber__ring(T_a)
% 3.80/3.84      | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__0__left_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.80/3.84      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__add__inverse2_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_diff__add__inverse_0,axiom,
% 3.80/3.84      c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_add__diff__cancel_0,axiom,
% 3.80/3.84      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.80/3.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__rotate_0,axiom,
% 3.80/3.84      c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_hd_Osimps_0,axiom,
% 3.80/3.84      c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_x ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted_Osimps_I3_J_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_lessequals(V_x,V_y,T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted_Osimps_I3_J_2,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 3.80/3.84      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__add_0,axiom,
% 3.80/3.84      c_List_Oreplicate(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Suc_0,axiom,
% 3.80/3.84      ( c_List_Otake(c_Suc(V_n),V_xs,T_a) = c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a),T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__drop_0,axiom,
% 3.80/3.84      c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__take_0,axiom,
% 3.80/3.84      c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__drop__take_0,axiom,
% 3.80/3.84      c_List_Orotate(V_n,V_xs,T_a) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),c_List_Otake(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__list__update_1,axiom,
% 3.80/3.84      ( c_List_Olast(c_List_Olist__update(V_xs,V_k,V_x,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 3.80/3.84      | V_k = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__list__update_0,axiom,
% 3.80/3.84      ( V_xs = c_List_Olist_ONil(T_a)
% 3.80/3.84      | c_List_Olast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = V_x ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__replicate_0,axiom,
% 3.80/3.84      c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Oord__class_Omin(V_i,V_k,tc_nat),V_x,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__replicate_0,axiom,
% 3.80/3.84      c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__tl_0,axiom,
% 3.80/3.84      c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Otake(c_Suc(V_n),V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Suc_0,axiom,
% 3.80/3.84      c_List_Odrop(c_Suc(V_n),V_xs,T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__Suc_0,axiom,
% 3.80/3.84      c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_power__0__left_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 3.80/3.84      | ~ class_Power_Opower(T_a)
% 3.80/3.84      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Cons__number__of_0,axiom,
% 3.80/3.84      ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list__update__length_0,axiom,
% 3.80/3.84      c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__conv__conj_2,axiom,
% 3.80/3.84      ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a)
% 3.80/3.84      | c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a) = V_zs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__append__conv__if_6,axiom,
% 3.80/3.84      ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) != V_ys_092_060_094isub_0622
% 3.80/3.84      | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621
% 3.80/3.84      | V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 3.80/3.84      | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__rev_0,axiom,
% 3.80/3.84      ( c_List_Olast(c_List_Orev(V_xs,T_a),T_a) = c_List_Ohd(V_xs,T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_hd__rev_0,axiom,
% 3.80/3.84      ( c_List_Ohd(c_List_Orev(V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_tl__take_0,axiom,
% 3.80/3.84      c_List_Otl(c_List_Otake(V_n,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Cons__number__of_0,axiom,
% 3.80/3.84      ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/3.84      | c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Cons_H_1,axiom,
% 3.80/3.84      ( c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Cons_H_1,axiom,
% 3.80/3.84      ( c_List_Odrop(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_tl__replicate_0,axiom,
% 3.80/3.84      ( c_List_Otl(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_splice_Osimps_I2_J_1,axiom,
% 3.80/3.84      ( c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(c_List_Ohd(V_ys,T_a),c_List_Osplice(V_xs,c_List_Otl(V_ys,T_a),T_a),T_a),T_a)
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate1__hd__tl_0,axiom,
% 3.80/3.84      ( c_List_Orotate1(V_xs,T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__Cons_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__appendI_0,axiom,
% 3.80/3.84      c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__append__conv_5,axiom,
% 3.80/3.84      c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_remove1_Osimps_I2_J_0,axiom,
% 3.80/3.84      c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__Cons_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__Cons__conv_5,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_removeAll_Osimps_I2_J_1,axiom,
% 3.80/3.84      ( c_List_OremoveAll(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_OremoveAll(V_x,V_xs,T_a),T_a)
% 3.80/3.84      | V_x = V_y ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_remove1_Osimps_I2_J_1,axiom,
% 3.80/3.84      ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)
% 3.80/3.84      | V_x = V_y ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_splice__Cons__Cons_0,axiom,
% 3.80/3.84      c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_List_Omember_Osimps_I2_J_2,axiom,
% 3.80/3.84      ( c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 3.80/3.84      | ~ c_List_Omember(V_x,V_ys,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_tl_Osimps_I2_J_0,axiom,
% 3.80/3.84      c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_List_Omember_Osimps_I2_J_1,axiom,
% 3.80/3.84      c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_removeAll_Osimps_I2_J_0,axiom,
% 3.80/3.84      c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_List_Onull_Osimps_I2_J_0,axiom,
% 3.80/3.84      ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_List_Omember_Osimps_I2_J_0,axiom,
% 3.80/3.84      ( c_List_Omember(V_x,V_ys,T_a)
% 3.80/3.84      | V_x = V_y
% 3.80/3.84      | ~ c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__append_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__eq__replicate_1,axiom,
% 3.80/3.84      ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 3.80/3.84      | V_x = V_y
% 3.80/3.84      | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list__update__code_I2_J_0,axiom,
% 3.80/3.84      c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__empty_1,axiom,
% 3.80/3.84      c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__eq__replicate_2,axiom,
% 3.80/3.84      c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__append_0,axiom,
% 3.80/3.84      c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__replicate_0,axiom,
% 3.80/3.84      ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__drop_0,axiom,
% 3.80/3.84      c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__take__drop__id_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__1__Cons_0,axiom,
% 3.80/3.84      c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__eq__Nil_0,axiom,
% 3.80/3.84      ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_tl__drop_0,axiom,
% 3.80/3.84      c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__butlast_0,axiom,
% 3.80/3.84      c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__0_0,axiom,
% 3.80/3.84      c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_zero__neq__one_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.80/3.84      | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__Cons__conv_3,axiom,
% 3.80/3.84      ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 3.80/3.84      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 3.80/3.84      | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__append__conv_2,axiom,
% 3.80/3.84      ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 3.80/3.84      | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 3.80/3.84      | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__Cons_H_0,axiom,
% 3.80/3.84      c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__drop_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Odrop(V_n,V_xs,T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_drop__tl_0,axiom,
% 3.80/3.84      c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__eq__replicate_0,axiom,
% 3.80/3.84      ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 3.80/3.84      | V_m = V_n ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__same__eq_0,axiom,
% 3.80/3.84      ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 3.80/3.84      | V_ys = V_zs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_same__append__eq_0,axiom,
% 3.80/3.84      ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 3.80/3.84      | V_ys = V_zs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__take_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Otake(V_n,V_xs,T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__swap_0,axiom,
% 3.80/3.84      V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__swap_1,axiom,
% 3.80/3.84      c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__rev__ident_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__butlast__last__id_0,axiom,
% 3.80/3.84      ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__replicate_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_one__neq__zero_0,axiom,
% 3.80/3.84      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.80/3.84      | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_tl__append2_0,axiom,
% 3.80/3.84      ( c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_removeAll__append_0,axiom,
% 3.80/3.84      c_List_OremoveAll(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_OremoveAll(V_x,V_xs,T_a),c_List_OremoveAll(V_x,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_empty__replicate_1,axiom,
% 3.80/3.84      c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__append_1,axiom,
% 3.80/3.84      ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a)
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__replicate__commute_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_distinct__remove1__removeAll_0,axiom,
% 3.80/3.84      ( c_List_Oremove1(V_x,V_xs,T_a) = c_List_OremoveAll(V_x,V_xs,T_a)
% 3.80/3.84      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__0_0,axiom,
% 3.80/3.84      c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__is__rev__conv_0,axiom,
% 3.80/3.84      ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 3.80/3.84      | V_xs = V_ys ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__append_0,axiom,
% 3.80/3.84      c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__empty_0,axiom,
% 3.80/3.84      ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_empty__replicate_0,axiom,
% 3.80/3.84      ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 3.80/3.84      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__Cons__conv_2,axiom,
% 3.80/3.84      ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 3.80/3.84      | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 3.80/3.84      | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__append__conv_3,axiom,
% 3.80/3.84      ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 3.80/3.84      | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 3.80/3.84      | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__append_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__append_1,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(V_ys,T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list__update__swap_0,axiom,
% 3.80/3.84      ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 3.80/3.84      | V_i = V_i_H ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__remdups_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__app__Cons__same_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__append_1,axiom,
% 3.80/3.84      ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate1__rotate__swap_0,axiom,
% 3.80/3.84      c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list__update__overwrite_0,axiom,
% 3.80/3.84      c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__assoc_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__appendI_0,axiom,
% 3.80/3.84      c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__append__conv2_4,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__append__conv2_5,axiom,
% 3.80/3.84      c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_sorted__remove1_0,axiom,
% 3.80/3.84      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.84      | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)
% 3.80/3.84      | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list_Onchotomy_0,axiom,
% 3.80/3.84      ( V_v = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xnchotomy__1__1(V_v,T_a),c_List_Osko__List__Xlist__Xnchotomy__1__2(V_v,T_a),T_a)
% 3.80/3.84      | V_v = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__append__conv_1,axiom,
% 3.80/3.84      ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 3.80/3.84      | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__Cons__conv_0,axiom,
% 3.80/3.84      ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 3.80/3.84      | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_last__snoc_0,axiom,
% 3.80/3.84      c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast__snoc_0,axiom,
% 3.80/3.84      c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_list_Oexhaust_0,axiom,
% 3.80/3.84      ( V_y = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xexhaust__1__1(V_y,T_a),c_List_Osko__List__Xlist__Xexhaust__1__2(V_y,T_a),T_a)
% 3.80/3.84      | V_y = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__Cons_H_0,axiom,
% 3.80/3.84      c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_neq__Nil__conv_0,axiom,
% 3.80/3.84      ( V_xs = c_List_Olist_OCons(c_List_Osko__List__Xneq__Nil__conv__1__1(V_xs,T_a),c_List_Osko__List__Xneq__Nil__conv__1__2(V_xs,T_a),T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_take__1__Cons_0,axiom,
% 3.80/3.84      c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__eq__Cons__conv_1,axiom,
% 3.80/3.84      ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 3.80/3.84      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Cons__eq__append__conv_0,axiom,
% 3.80/3.84      ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 3.80/3.84      | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 3.80/3.84      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev_Osimps_I2_J_0,axiom,
% 3.80/3.84      c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__eq__Cons__iff_0,axiom,
% 3.80/3.84      ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 3.80/3.84      | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rev__eq__Cons__iff_1,axiom,
% 3.80/3.84      c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_rotate__simps_1,axiom,
% 3.80/3.84      c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_replicate__append__same_0,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__is__Nil__conv_2,axiom,
% 3.80/3.84      c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_empty__null_1,axiom,
% 3.80/3.84      ( V_xs = c_List_Olist_ONil(T_a)
% 3.80/3.84      | ~ c_List_Onull(V_xs,T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_removeAll_Osimps_I1_J_0,axiom,
% 3.80/3.84      c_List_OremoveAll(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_Nil__is__rev__conv_1,axiom,
% 3.80/3.84      c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_butlast_Osimps_I1_J_0,axiom,
% 3.80/3.84      c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_remdups__eq__nil__right__iff_1,axiom,
% 3.80/3.84      c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_self__append__conv2_0,axiom,
% 3.80/3.84      ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.84  
% 3.80/3.84  cnf(cls_append__self__conv2_0,axiom,
% 3.80/3.84      ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 3.80/3.84      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_self__append__conv_0,axiom,
% 3.80/3.85      ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 3.80/3.85      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__self__conv_0,axiom,
% 3.80/3.85      ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 3.80/3.85      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_remdups__eq__nil__iff_0,axiom,
% 3.80/3.85      ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_x = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_splice__Nil2_0,axiom,
% 3.80/3.85      c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_splice_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_tl_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rotate__is__Nil__conv_0,axiom,
% 3.80/3.85      ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_Nil__is__rev__conv_0,axiom,
% 3.80/3.85      ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_List_Omember_Osimps_I1_J_0,axiom,
% 3.80/3.85      ~ c_List_Omember(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__is__Nil__conv_1,axiom,
% 3.80/3.85      ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__is__Nil__conv_0,axiom,
% 3.80/3.85      ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_Nil__is__append__conv_1,axiom,
% 3.80/3.85      ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 3.80/3.85      | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_Nil__is__append__conv_0,axiom,
% 3.80/3.85      ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_remdups__eq__nil__iff_1,axiom,
% 3.80/3.85      c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_drop__Nil_0,axiom,
% 3.80/3.85      c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list__inter_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_self__append__conv2_1,axiom,
% 3.80/3.85      V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__Nil_0,axiom,
% 3.80/3.85      c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_self__append__conv_1,axiom,
% 3.80/3.85      V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_eq__Nil__appendI_0,axiom,
% 3.80/3.85      V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__Nil2_0,axiom,
% 3.80/3.85      c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 3.80/3.85      ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_take__eq__Nil_2,axiom,
% 3.80/3.85      c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rotate__simps_0,axiom,
% 3.80/3.85      c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_empty__null_0,axiom,
% 3.80/3.85      c_List_Onull(c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 3.80/3.85      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.85      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_remdups__eq__nil__right__iff_0,axiom,
% 3.80/3.85      ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a)
% 3.80/3.85      | V_x = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list__update__nonempty_1,axiom,
% 3.80/3.85      c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list__update__code_I1_J_0,axiom,
% 3.80/3.85      c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_remove1_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rev__is__Nil__conv_0,axiom,
% 3.80/3.85      ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rotate__is__Nil__conv_1,axiom,
% 3.80/3.85      c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_Nil__is__append__conv_2,axiom,
% 3.80/3.85      c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rev__is__Nil__conv_1,axiom,
% 3.80/3.85      c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list__update__nonempty_0,axiom,
% 3.80/3.85      ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__remdups_0,axiom,
% 3.80/3.85      c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__rotate_1,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__rotate_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_xs,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__remove1_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__append_1,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_ys,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__append_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_xs,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct1__rotate_1,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct1__rotate_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_xs,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__drop_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__rev_1,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__rev_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_xs,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_remdups__id__iff__distinct_0,axiom,
% 3.80/3.85      ( c_List_Oremdups(V_xs,T_a) != V_xs
% 3.80/3.85      | c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__remdups__id_0,axiom,
% 3.80/3.85      ( c_List_Oremdups(V_xs,T_a) = V_xs
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct__take_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)
% 3.80/3.85      | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_alt3_0,axiom,
% 3.80/3.85      c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append1__eq__conv_1,axiom,
% 3.80/3.85      ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 3.80/3.85      | V_x = V_y ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append1__eq__conv_0,axiom,
% 3.80/3.85      ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 3.80/3.85      | V_xs = V_ys ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_append__eq__Cons__conv_4,axiom,
% 3.80/3.85      c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_butlast_Osimps_I2_J_1,axiom,
% 3.80/3.85      ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_last_Osimps_0,axiom,
% 3.80/3.85      c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_butlast_Osimps_I2_J_0,axiom,
% 3.80/3.85      c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_splice_Osimps_I2_J_0,axiom,
% 3.80/3.85      c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rev__singleton__conv_0,axiom,
% 3.80/3.85      ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 3.80/3.85      | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_singleton__rev__conv_0,axiom,
% 3.80/3.85      ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 3.80/3.85      | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_rev__singleton__conv_1,axiom,
% 3.80/3.85      c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_last_Osimps_1,axiom,
% 3.80/3.85      ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 3.80/3.85      | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_Cons__eq__append__conv_4,axiom,
% 3.80/3.85      c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_singleton__rev__conv_1,axiom,
% 3.80/3.85      c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 3.80/3.85      ( ~ class_Orderings_Olinorder(T_a)
% 3.80/3.85      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_third__alt_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Olist_OCons(V_a,c_List_Olist_OCons(V_b,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(V_a,V_b),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
% 3.80/3.85      | V_a = V_b ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list_Oinject_1,axiom,
% 3.80/3.85      ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 3.80/3.85      | V_list = V_list_H ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list_Oinject_0,axiom,
% 3.80/3.85      ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 3.80/3.85      | V_a = V_a_H ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_that_0,axiom,
% 3.80/3.85      ( v_thesis____
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(V_e,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 3.80/3.85      c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list_Osimps_I2_J_0,axiom,
% 3.80/3.85      c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_neq__Nil__conv_1,axiom,
% 3.80/3.85      c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_list_Osimps_I3_J_0,axiom,
% 3.80/3.85      c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_not__Cons__self2_0,axiom,
% 3.80/3.85      c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_not__Cons__self_0,axiom,
% 3.80/3.85      V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 3.80/3.85      ( c_List_Odistinct(V_xs,T_a)
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_CHAINED_0,axiom,
% 3.80/3.85      ( c_List_Odistinct(c_List_Olist_OCons(V_a,c_List_Olist_OCons(V_b,c_List_Olist_OCons(v_sko__CHAINED__1(V_a,V_b),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
% 3.80/3.85      | V_a = V_b ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_CHAINED_0_01,axiom,
% 3.80/3.85      c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),v_h____,v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_CHAINED_0_02,axiom,
% 3.80/3.85      v_c____ != v_d____ ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_CHAINED_0_03,axiom,
% 3.80/3.85      c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_conjecture_0,negated_conjecture,
% 3.80/3.85      ~ v_thesis____ ).
% 3.80/3.85  
% 3.80/3.85  cnf(cls_conjecture_1,negated_conjecture,
% 3.80/3.85      ( v_thesis____
% 3.80/3.85      | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(V_x,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 3.80/3.85      ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 3.80/3.85      | ~ class_Orderings_Opreorder(T_1) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_fun__Orderings_Oorder,axiom,
% 3.80/3.85      ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 3.80/3.85      | ~ class_Orderings_Oorder(T_1) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_fun__HOL_Oord,axiom,
% 3.80/3.85      ( class_HOL_Oord(tc_fun(T_2,T_1))
% 3.80/3.85      | ~ class_HOL_Oord(T_1) ) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.80/3.85      class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 3.80/3.85      class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.80/3.85      class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 3.80/3.85      class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 3.80/3.85      class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 3.80/3.85      class_Ring__and__Field_Omult__zero(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 3.80/3.85      class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Omonoid__add(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 3.80/3.85      class_Divides_Osemiring__div(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 3.80/3.85      class_Orderings_Opreorder(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 3.80/3.85      class_Orderings_Olinorder(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Orderings_Oorder,axiom,
% 3.80/3.85      class_Orderings_Oorder(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Power_Opower,axiom,
% 3.80/3.85      class_Power_Opower(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__Int_Onumber,axiom,
% 3.80/3.85      class_Int_Onumber(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_nat__HOL_Oord,axiom,
% 3.80/3.85      class_HOL_Oord(tc_nat) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 3.80/3.85      class_Orderings_Opreorder(tc_bool) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_bool__Orderings_Oorder,axiom,
% 3.80/3.85      class_Orderings_Oorder(tc_bool) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_bool__HOL_Oord,axiom,
% 3.80/3.85      class_HOL_Oord(tc_bool) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 3.80/3.85      class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.80/3.85      class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 3.80/3.85      class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.80/3.85      class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 3.80/3.85      class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.80/3.85      class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 3.80/3.85      class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 3.80/3.85      class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 3.80/3.85      class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 3.80/3.85      class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 3.80/3.85      class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 3.80/3.85      class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 3.80/3.85      class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 3.80/3.85      class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 3.80/3.85      class_Divides_Osemiring__div(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 3.80/3.85      class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 3.80/3.85      class_Orderings_Opreorder(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 3.80/3.85      class_Orderings_Olinorder(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
% 3.80/3.85      class_Divides_Oring__div(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 3.80/3.85      class_Orderings_Oorder(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 3.80/3.85      class_Int_Oring__char__0(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 3.80/3.85      class_Int_Onumber__ring(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 3.80/3.85      class_Power_Opower(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 3.80/3.85      class_Int_Onumber(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  cnf(clsarity_Int__Oint__HOL_Oord,axiom,
% 3.80/3.85      class_HOL_Oord(tc_Int_Oint) ).
% 3.80/3.85  
% 3.80/3.85  %------------------------------------------------------------------------------
% 3.80/3.85  %-------------------------------------------
% 3.80/3.85  % Proof found
% 3.80/3.85  % SZS status Theorem for theBenchmark
% 3.80/3.85  % SZS output start Proof
% 3.80/3.85  %ClaNum:837(EqnAxiom:166)
% 3.80/3.85  %VarNum:3920(SingletonVarNum:1433)
% 3.80/3.85  %MaxLitNum:6
% 3.80/3.85  %MaxfuncDepth:6
% 3.80/3.85  %SharedTerms:104
% 3.80/3.85  %goalClause: 400 820
% 3.80/3.85  %singleGoalClaCount:1
% 3.80/3.85  [167]P1(a1)
% 3.80/3.85  [168]P1(a2)
% 3.80/3.85  [169]P2(a1)
% 3.80/3.85  [170]P2(a2)
% 3.80/3.85  [171]P30(a1)
% 3.80/3.85  [172]P30(a45)
% 3.80/3.85  [173]P30(a2)
% 3.80/3.85  [174]P31(a1)
% 3.80/3.85  [175]P31(a45)
% 3.80/3.85  [176]P31(a2)
% 3.80/3.85  [177]P3(a1)
% 3.80/3.85  [178]P3(a2)
% 3.80/3.85  [179]P4(a1)
% 3.80/3.85  [180]P4(a2)
% 3.80/3.85  [181]P5(a2)
% 3.80/3.85  [182]P25(a1)
% 3.80/3.85  [183]P25(a2)
% 3.80/3.85  [184]P6(a1)
% 3.80/3.85  [185]P6(a2)
% 3.80/3.85  [186]P32(a2)
% 3.80/3.85  [187]P26(a2)
% 3.80/3.85  [188]P7(a1)
% 3.80/3.85  [189]P7(a2)
% 3.80/3.85  [190]P33(a2)
% 3.80/3.85  [191]P18(a2)
% 3.80/3.85  [192]P24(a2)
% 3.80/3.85  [193]P19(a2)
% 3.80/3.85  [194]P34(a1)
% 3.80/3.85  [195]P34(a2)
% 3.80/3.85  [196]P8(a1)
% 3.80/3.85  [197]P8(a2)
% 3.80/3.85  [198]P38(a1)
% 3.80/3.85  [199]P38(a2)
% 3.80/3.85  [200]P35(a1)
% 3.80/3.85  [201]P35(a2)
% 3.80/3.85  [202]P27(a1)
% 3.80/3.85  [203]P27(a2)
% 3.80/3.85  [204]P9(a2)
% 3.80/3.85  [205]P29(a1)
% 3.80/3.85  [206]P29(a2)
% 3.80/3.85  [207]P39(a2)
% 3.80/3.85  [208]P40(a1)
% 3.80/3.85  [209]P40(a2)
% 3.80/3.85  [210]P36(a1)
% 3.80/3.85  [211]P36(a2)
% 3.80/3.85  [212]P37(a1)
% 3.80/3.85  [213]P37(a2)
% 3.80/3.85  [214]P17(a1)
% 3.80/3.85  [215]P17(a45)
% 3.80/3.85  [216]P17(a2)
% 3.80/3.85  [217]P21(a1)
% 3.80/3.85  [218]P21(a2)
% 3.80/3.85  [219]P20(a2)
% 3.80/3.85  [220]P22(a1)
% 3.80/3.85  [221]P22(a2)
% 3.80/3.85  [222]P23(a1)
% 3.80/3.85  [223]P23(a2)
% 3.80/3.85  [224]P28(a1)
% 3.80/3.85  [225]P28(a2)
% 3.80/3.85  [399]~E(a52,a51)
% 3.80/3.85  [400]~P41(a500)
% 3.80/3.85  [298]P15(a48,a7,f47(a39,f47(f49(a40,a40),a45)))
% 3.80/3.85  [384]P11(f14(a50,f14(a55,f14(a56,f3(a40),a40),a40),a40),a40)
% 3.80/3.85  [398]P15(f41(a51,a52,a40,a40),f43(a48,f12(f42(f47(a39,a45)),a53,a54,a39,a1)),f49(a40,a40))
% 3.80/3.85  [402]~P12(x4021,x4021,a1)
% 3.80/3.85  [226]P10(f3(x2261),x2261)
% 3.80/3.85  [227]P11(f3(x2271),x2271)
% 3.80/3.85  [239]E(f5(x2391,x2391,a1),f4(a1))
% 3.80/3.85  [406]~P12(x4061,f4(a1),a1)
% 3.80/3.85  [230]E(f17(f3(x2301),x2301),f3(x2301))
% 3.80/3.85  [231]E(f18(f3(x2311),x2311),f3(x2311))
% 3.80/3.85  [232]E(f24(f3(x2321),x2321),f3(x2321))
% 3.80/3.85  [233]E(f26(f3(x2331),x2331),f3(x2331))
% 3.80/3.85  [234]E(f37(f3(x2341),f46(x2341)),f4(a1))
% 3.80/3.85  [241]E(f8(x2411,f4(a1),a1),x2411)
% 3.80/3.85  [242]E(f5(x2421,f4(a1),a1),x2421)
% 3.80/3.85  [243]E(f8(f4(a1),x2431,a1),x2431)
% 3.80/3.85  [245]E(f38(x2451,f4(a1),a1),f4(a1))
% 3.80/3.85  [246]E(f38(f4(a1),x2461,a1),f4(a1))
% 3.80/3.85  [247]E(f5(f4(a1),x2471,a1),f4(a1))
% 3.80/3.85  [287]P12(x2871,f8(x2871,f9(a1),a1),a1)
% 3.80/3.85  [290]P12(f4(a1),f8(x2901,f9(a1),a1),a1)
% 3.80/3.85  [408]~E(f8(x4081,f9(a1),a1),x4081)
% 3.80/3.85  [415]~E(f8(x4151,f9(a1),a1),f4(a1))
% 3.80/3.85  [418]~P12(f4(a1),f37(f3(x4181),f46(x4181)),a1)
% 3.80/3.85  [293]E(f6(x2931,f8(f4(a1),f9(a1),a1),a1),f4(a1))
% 3.80/3.85  [235]P11(f18(x2351,x2352),x2352)
% 3.80/3.85  [270]E(f8(x2701,x2702,a1),f8(x2702,x2701,a1))
% 3.80/3.85  [417]~P13(x4171,f3(x4172),x4172)
% 3.80/3.85  [420]~P12(f8(x4201,x4202,a1),x4202,a1)
% 3.80/3.85  [421]~P12(f8(x4211,x4212,a1),x4211,a1)
% 3.80/3.85  [238]E(f17(f17(x2381,x2382),x2382),x2381)
% 3.80/3.85  [244]E(f10(f4(a1),x2441,x2442),x2441)
% 3.80/3.85  [251]E(f11(x2511,f3(x2512),x2512),x2511)
% 3.80/3.85  [252]E(f27(x2521,f3(x2522),x2522),x2521)
% 3.80/3.85  [253]E(f11(f3(x2531),x2532,x2531),x2532)
% 3.80/3.85  [254]E(f27(f3(x2541),x2542,x2541),x2542)
% 3.80/3.85  [256]E(f36(f4(a1),x2561,x2562),f3(x2562))
% 3.80/3.85  [257]E(f21(f4(a1),x2571,x2572),f3(x2572))
% 3.80/3.85  [260]E(f36(x2601,f3(x2602),x2602),f3(x2602))
% 3.80/3.85  [261]E(f10(x2611,f3(x2612),x2612),f3(x2612))
% 3.80/3.85  [262]E(f25(x2621,f3(x2622),x2622),f3(x2622))
% 3.80/3.85  [263]E(f22(x2631,f3(x2632),x2632),f3(x2632))
% 3.80/3.85  [264]E(f23(x2641,f3(x2642),x2642),f3(x2642))
% 3.80/3.85  [265]E(f19(f3(x2651),x2652,x2651),f3(x2651))
% 3.80/3.85  [266]E(f37(f17(x2661,x2662),f46(x2662)),f37(x2661,f46(x2662)))
% 3.80/3.85  [267]E(f37(f24(x2671,x2672),f46(x2672)),f37(x2671,f46(x2672)))
% 3.80/3.85  [277]E(f37(f26(x2771,x2772),f46(x2772)),f5(f37(x2771,f46(x2772)),f9(a1),a1))
% 3.80/3.85  [281]E(f5(f8(x2811,x2812,a1),x2812,a1),x2811)
% 3.80/3.85  [282]E(f5(f8(x2821,x2822,a1),x2821,a1),x2822)
% 3.80/3.85  [283]E(f5(x2831,f8(x2831,x2832,a1),a1),f4(a1))
% 3.80/3.85  [325]P12(f5(x3251,x3252,a1),f8(x3251,f9(a1),a1),a1)
% 3.80/3.85  [361]P12(x3611,f8(f8(x3612,x3611,a1),f9(a1),a1),a1)
% 3.80/3.85  [363]P12(x3631,f8(f8(x3631,x3632,a1),f9(a1),a1),a1)
% 3.80/3.85  [380]E(f37(f36(f5(f37(x3801,f46(x3802)),f9(a1),a1),x3801,x3802),f46(x3802)),f5(f37(x3801,f46(x3802)),f9(a1),a1))
% 3.80/3.85  [276]E(f16(f14(x2761,f3(x2762),x2762),x2762),x2761)
% 3.80/3.85  [278]E(f16(f11(x2781,f3(x2782),x2782),x2782),f16(x2781,x2782))
% 3.80/3.85  [279]E(f15(f11(f3(x2791),x2792,x2791),x2791),f15(x2792,x2791))
% 3.80/3.85  [297]E(f17(f14(x2971,f3(x2972),x2972),x2972),f14(x2971,f3(x2972),x2972))
% 3.80/3.85  [353]E(f8(f8(x3531,f9(a1),a1),x3532,a1),f8(f8(x3531,x3532,a1),f9(a1),a1))
% 3.80/3.85  [356]E(f5(f5(x3561,f9(a1),a1),x3562,a1),f5(x3561,f8(x3562,f9(a1),a1),a1))
% 3.80/3.85  [357]E(f8(f8(x3571,f9(a1),a1),x3572,a1),f8(x3571,f8(x3572,f9(a1),a1),a1))
% 3.80/3.85  [373]E(f38(f8(x3731,f9(a1),a1),f8(x3732,f9(a1),a1),a1),f8(f38(x3731,x3732,a1),f9(a1),a1))
% 3.80/3.85  [378]E(f6(f8(f6(x3781,x3782,a1),f9(a1),a1),x3782,a1),f6(f8(x3781,f9(a1),a1),x3782,a1))
% 3.80/3.85  [388]E(f36(f5(f37(f14(x3881,f3(x3882),x3882),f46(x3882)),f9(a1),a1),f14(x3881,f3(x3882),x3882),x3882),f3(x3882))
% 3.80/3.85  [392]E(f36(f5(f37(f11(x3921,f3(x3922),x3922),f46(x3922)),f9(a1),a1),f11(x3921,f3(x3922),x3922),x3922),f36(f5(f37(x3921,f46(x3922)),f9(a1),a1),x3921,x3922))
% 3.80/3.85  [284]P13(x2841,f14(x2841,x2842,x2843),x2843)
% 3.80/3.85  [404]~E(f14(x4041,x4042,x4043),x4042)
% 3.80/3.85  [411]~E(f14(x4111,x4112,x4113),f3(x4113))
% 3.80/3.85  [419]~P10(f14(x4191,x4192,x4193),x4193)
% 3.80/3.85  [272]E(f21(f4(a1),x2721,x2722),f21(f4(a1),x2723,x2722))
% 3.80/3.85  [273]E(f15(f14(x2731,x2732,x2733),x2733),x2731)
% 3.80/3.85  [274]E(f26(f14(x2741,x2742,x2743),x2743),x2742)
% 3.80/3.85  [275]E(f37(f21(x2751,x2752,x2753),f46(x2753)),x2751)
% 3.80/3.85  [280]E(f37(f25(x2801,x2802,x2803),f46(x2803)),f37(x2802,f46(x2803)))
% 3.80/3.85  [285]E(f22(x2851,f14(x2851,x2852,x2853),x2853),x2852)
% 3.80/3.85  [288]E(f10(f9(a1),f14(x2881,x2882,x2883),x2883),x2882)
% 3.80/3.85  [295]E(f17(f21(x2951,x2952,x2953),x2953),f21(x2951,x2952,x2953))
% 3.80/3.85  [299]E(f36(f37(x2991,f46(x2992)),f11(x2991,x2993,x2992),x2992),x2991)
% 3.80/3.85  [300]E(f10(f37(x3001,f46(x3002)),f11(x3001,x3003,x3002),x3002),x3003)
% 3.80/3.85  [301]E(f25(x3011,f24(x3012,x3013),x3013),f24(f25(x3011,x3012,x3013),x3013))
% 3.80/3.85  [303]E(f10(x3031,f26(x3032,x3033),x3033),f26(f10(x3031,x3032,x3033),x3033))
% 3.80/3.85  [304]E(f23(x3041,f14(x3041,x3042,x3043),x3043),f23(x3041,x3042,x3043))
% 3.80/3.85  [308]E(f37(f14(x3081,x3082,x3083),f46(x3083)),f8(f37(x3082,f46(x3083)),f9(a1),a1))
% 3.80/3.85  [309]E(f8(f37(x3091,f46(x3092)),f9(a1),a1),f37(f14(x3093,x3091,x3092),f46(x3092)))
% 3.80/3.85  [313]E(f36(f9(a1),f14(x3131,x3132,x3133),x3133),f14(x3131,f3(x3133),x3133))
% 3.80/3.85  [314]E(f11(f17(x3141,x3142),f17(x3143,x3142),x3142),f17(f11(x3143,x3141,x3142),x3142))
% 3.80/3.85  [324]E(f20(f3(x3241),x3242,x3243,x3241),f3(x3241))
% 3.80/3.85  [326]E(f11(f36(x3261,x3262,x3263),f10(x3261,x3262,x3263),x3263),x3262)
% 3.80/3.85  [331]E(f36(f5(x3311,f9(a1),a1),f26(x3312,x3313),x3313),f26(f36(x3311,x3312,x3313),x3313))
% 3.80/3.85  [332]E(f8(x3321,f8(x3322,x3323,a1),a1),f8(x3322,f8(x3321,x3323,a1),a1))
% 3.80/3.85  [333]E(f8(f8(x3331,x3332,a1),x3333,a1),f8(x3331,f8(x3332,x3333,a1),a1))
% 3.80/3.85  [334]E(f5(f5(x3341,x3342,a1),x3343,a1),f5(x3341,f8(x3342,x3343,a1),a1))
% 3.80/3.85  [335]E(f5(f5(x3351,x3352,a1),x3353,a1),f5(f5(x3351,x3353,a1),x3352,a1))
% 3.80/3.85  [336]E(f5(f8(x3361,x3362,a1),f8(x3363,x3362,a1),a1),f5(x3361,x3363,a1))
% 3.80/3.85  [337]E(f5(f8(x3371,x3372,a1),f8(x3371,x3373,a1),a1),f5(x3372,x3373,a1))
% 3.80/3.85  [364]E(f10(f5(f37(x3641,f46(x3642)),x3643,a1),f17(x3641,x3642),x3642),f17(f36(x3643,x3641,x3642),x3642))
% 3.80/3.85  [365]E(f36(f5(f37(x3651,f46(x3652)),x3653,a1),f17(x3651,x3652),x3652),f17(f10(x3653,x3651,x3652),x3652))
% 3.80/3.85  [367]E(f38(f5(x3671,x3672,a1),f5(x3673,x3672,a1),a1),f5(f38(x3671,x3673,a1),x3672,a1))
% 3.80/3.85  [305]E(f37(f36(x3051,x3052,x3053),f46(x3053)),f38(f37(x3052,f46(x3053)),x3051,a1))
% 3.80/3.85  [306]E(f37(f10(x3061,x3062,x3063),f46(x3063)),f5(f37(x3062,f46(x3063)),x3061,a1))
% 3.80/3.85  [319]E(f10(f8(x3191,f9(a1),a1),x3192,x3193),f10(x3191,f26(x3192,x3193),x3193))
% 3.80/3.85  [320]E(f8(f37(x3201,f46(x3202)),f37(x3203,f46(x3202)),a1),f37(f11(x3201,x3203,x3202),f46(x3202)))
% 3.80/3.85  [321]E(f8(f37(x3211,f46(x3212)),f37(x3213,f46(x3212)),a1),f37(f27(x3211,x3213,x3212),f46(x3212)))
% 3.80/3.85  [328]E(f25(f8(x3281,f9(a1),a1),x3282,x3283),f24(f25(x3281,x3282,x3283),x3283))
% 3.80/3.85  [330]E(f11(x3301,f14(x3302,f3(x3303),x3303),x3303),f24(f14(x3302,x3301,x3303),x3303))
% 3.80/3.85  [343]E(f11(f17(x3431,x3432),f14(x3433,f3(x3432),x3432),x3432),f17(f14(x3433,x3431,x3432),x3432))
% 3.80/3.85  [354]E(f21(f8(x3541,f9(a1),a1),x3542,x3543),f14(x3542,f21(x3541,x3542,x3543),x3543))
% 3.80/3.85  [359]E(f37(f14(x3591,x3592,x3593),f46(x3593)),f8(f37(x3592,f46(x3593)),f8(f4(a1),f9(a1),a1),a1))
% 3.80/3.85  [374]E(f11(f21(x3741,x3742,x3743),f14(x3742,f3(x3743),x3743),x3743),f14(x3742,f21(x3741,x3742,x3743),x3743))
% 3.80/3.85  [383]E(f5(f5(f8(x3831,f9(a1),a1),x3832,a1),f8(x3833,f9(a1),a1),a1),f5(f5(x3831,x3832,a1),x3833,a1))
% 3.80/3.85  [329]E(f25(f6(x3291,f37(x3292,f46(x3293)),a1),x3292,x3293),f25(x3291,x3292,x3293))
% 3.80/3.85  [360]E(f16(f11(x3601,f14(x3602,f3(x3603),x3603),x3603),x3603),x3602)
% 3.80/3.85  [368]E(f26(f36(f8(x3681,f9(a1),a1),x3682,x3683),x3683),f36(x3681,f26(x3682,x3683),x3683))
% 3.80/3.85  [375]E(f17(f11(f17(x3751,x3752),f14(x3753,f3(x3752),x3752),x3752),x3752),f14(x3753,x3751,x3752))
% 3.80/3.85  [395]E(f36(f5(f37(f10(x3951,x3952,x3953),f46(x3953)),f9(a1),a1),f10(x3951,x3952,x3953),x3953),f10(x3951,f36(f5(f37(x3952,f46(x3953)),f9(a1),a1),x3952,x3953),x3953))
% 3.80/3.85  [396]E(f36(f5(f37(f11(x3961,f14(x3962,f3(x3963),x3963),x3963),f46(x3963)),f9(a1),a1),f11(x3961,f14(x3962,f3(x3963),x3963),x3963),x3963),x3961)
% 3.80/3.85  [397]E(f36(f5(f37(f20(x3971,f5(f37(x3971,f46(x3972)),f9(a1),a1),x3973,x3972),f46(x3972)),f9(a1),a1),f20(x3971,f5(f37(x3971,f46(x3972)),f9(a1),a1),x3973,x3972),x3972),f36(f5(f37(x3971,f46(x3972)),f9(a1),a1),x3971,x3972))
% 3.80/3.85  [391]E(f11(f10(f6(x3911,f37(x3912,f46(x3913)),a1),x3912,x3913),f36(f6(x3911,f37(x3912,f46(x3913)),a1),x3912,x3913),x3913),f25(x3911,x3912,x3913))
% 3.80/3.85  [393]E(f17(f25(f5(f37(x3931,f46(x3932)),f6(x3933,f37(x3931,f46(x3932)),a1),a1),x3931,x3932),x3932),f25(x3933,f17(x3931,x3932),x3932))
% 3.80/3.85  [338]E(f36(x3381,f36(x3382,x3383,x3384),x3384),f36(f38(x3381,x3382,a1),x3383,x3384))
% 3.80/3.85  [339]E(f36(x3391,f21(x3392,x3393,x3394),x3394),f21(f38(x3391,x3392,a1),x3393,x3394))
% 3.80/3.85  [340]E(f10(x3401,f10(x3402,x3403,x3404),x3404),f10(f8(x3401,x3402,a1),x3403,x3404))
% 3.80/3.85  [341]E(f10(x3411,f21(x3412,x3413,x3414),x3414),f21(f5(x3412,x3411,a1),x3413,x3414))
% 3.80/3.85  [342]E(f25(x3421,f25(x3422,x3423,x3424),x3424),f25(f8(x3421,x3422,a1),x3423,x3424))
% 3.80/3.85  [349]E(f11(f11(x3491,x3492,x3493),x3494,x3493),f11(x3491,f11(x3492,x3494,x3493),x3493))
% 3.80/3.85  [351]E(f14(x3511,f11(x3512,x3513,x3514),x3514),f11(f14(x3511,x3512,x3514),x3513,x3514))
% 3.80/3.85  [355]E(f10(f8(x3551,f9(a1),a1),f14(x3552,x3553,x3554),x3554),f10(x3551,x3553,x3554))
% 3.80/3.85  [366]E(f20(f14(x3661,x3662,x3663),f4(a1),x3664,x3663),f14(x3664,x3662,x3663))
% 3.80/3.85  [369]E(f36(f5(x3691,x3692,a1),f10(x3692,x3693,x3694),x3694),f10(x3692,f36(x3691,x3693,x3694),x3694))
% 3.80/3.85  [370]E(f11(f21(x3701,x3702,x3703),f21(x3704,x3702,x3703),x3703),f21(f8(x3701,x3704,a1),x3702,x3703))
% 3.80/3.85  [371]E(f11(f23(x3711,x3712,x3713),f23(x3711,x3714,x3713),x3713),f23(x3711,f11(x3712,x3714,x3713),x3713))
% 3.80/3.85  [372]E(f36(f8(x3721,f9(a1),a1),f14(x3722,x3723,x3724),x3724),f14(x3722,f36(x3721,x3723,x3724),x3724))
% 3.80/3.85  [377]E(f37(f20(x3771,x3772,x3773,x3774),f46(x3774)),f37(x3771,f46(x3774)))
% 3.80/3.85  [379]E(f11(f21(x3791,x3792,x3793),f21(x3794,x3792,x3793),x3793),f11(f21(x3794,x3792,x3793),f21(x3791,x3792,x3793),x3793))
% 3.80/3.85  [376]E(f10(x3761,f36(f8(x3762,x3761,a1),x3763,x3764),x3764),f36(x3762,f10(x3761,x3763,x3764),x3764))
% 3.80/3.85  [382]E(f14(x3821,f11(f21(x3822,x3821,x3823),x3824,x3823),x3823),f11(f21(x3822,x3821,x3823),f14(x3821,x3824,x3823),x3823))
% 3.80/3.85  [386]E(f11(f36(x3861,x3862,x3863),f36(f5(x3861,f37(x3862,f46(x3863)),a1),x3864,x3863),x3863),f36(x3861,f11(x3862,x3864,x3863),x3863))
% 3.80/3.85  [387]E(f11(f10(x3871,x3872,x3873),f10(f5(x3871,f37(x3872,f46(x3873)),a1),x3874,x3873),x3873),f10(x3871,f11(x3872,x3874,x3873),x3873))
% 3.80/3.85  [389]E(f20(f20(x3891,x3892,x3893,x3894),x3892,x3895,x3894),f20(x3891,x3892,x3895,x3894))
% 3.80/3.85  [381]E(f14(x3811,f14(x3812,f27(x3813,x3814,x3815),x3815),x3815),f27(f14(x3811,x3813,x3815),f14(x3812,x3814,x3815),x3815))
% 3.80/3.85  [385]E(f20(f11(x3851,f14(x3852,x3853,x3854),x3854),f37(x3851,f46(x3854)),x3855,x3854),f11(x3851,f14(x3855,x3853,x3854),x3854))
% 3.80/3.85  [390]E(f20(f14(x3901,x3902,x3903),f8(x3904,f9(a1),a1),x3905,x3903),f14(x3901,f20(x3902,x3904,x3905,x3903),x3903))
% 3.80/3.85  [423]~P40(x4231)+~E(f9(x4231),f4(x4231))
% 3.80/3.85  [424]~P2(x4241)+P14(f3(x4241),x4241)
% 3.80/3.85  [440]E(x4401,f4(a1))+P12(f4(a1),x4401,a1)
% 3.80/3.85  [469]~P1(x4691)+P12(f4(x4691),f9(x4691),x4691)
% 3.80/3.85  [470]~P1(x4701)+P16(f4(x4701),f9(x4701),x4701)
% 3.80/3.85  [506]~P1(x5061)+~P12(f9(x5061),f4(x5061),x5061)
% 3.80/3.85  [507]~P1(x5071)+~P16(f9(x5071),f4(x5071),x5071)
% 3.80/3.85  [474]~P5(x4741)+E(f8(f4(x4741),f4(x4741),x4741),f4(x4741))
% 3.80/3.85  [597]~P1(x5971)+P12(f4(x5971),f8(f9(x5971),f9(x5971),x5971),x5971)
% 3.80/3.85  [650]~P12(f4(a1),x6501,a1)+E(f8(f5(x6501,f9(a1),a1),f9(a1),a1),x6501)
% 3.80/3.85  [655]E(x6551,f4(a1))+~P12(x6551,f8(f4(a1),f9(a1),a1),a1)
% 3.80/3.85  [775]~P12(f4(a1),x7751,a1)+E(f8(f5(x7751,f8(f4(a1),f9(a1),a1),a1),f9(a1),a1),x7751)
% 3.80/3.85  [820]P41(a500)+~P11(f14(a51,f14(a52,f14(x8201,f3(a40),a40),a40),a40),a40)
% 3.80/3.85  [442]~P30(x4422)+P16(x4421,x4421,x4422)
% 3.80/3.85  [443]~P31(x4432)+P16(x4431,x4431,x4432)
% 3.80/3.85  [485]~P12(x4852,x4852,x4851)+~P2(x4851)
% 3.80/3.85  [486]~P12(x4862,x4862,x4861)+~P30(x4861)
% 3.80/3.85  [487]~P12(x4872,x4872,x4871)+~P31(x4871)
% 3.80/3.85  [425]~P10(x4251,x4252)+E(x4251,f3(x4252))
% 3.80/3.85  [428]~E(f17(x4281,x4282),f3(x4282))+E(x4281,f3(x4282))
% 3.80/3.85  [429]~E(f18(x4291,x4292),f3(x4292))+E(x4291,f3(x4292))
% 3.80/3.85  [430]~E(f24(x4301,x4302),f3(x4302))+E(x4301,f3(x4302))
% 3.80/3.85  [431]~P30(x4312)+P30(f47(x4311,x4312))
% 3.80/3.85  [432]~P31(x4322)+P31(f47(x4321,x4322))
% 3.80/3.85  [433]~P17(x4332)+P17(f47(x4331,x4332))
% 3.80/3.85  [434]~P11(x4341,x4342)+E(f18(x4341,x4342),x4341)
% 3.80/3.85  [435]P11(x4351,x4352)+~E(f18(x4351,x4352),x4351)
% 3.80/3.85  [444]~P2(x4442)+E(f38(x4441,x4441,x4442),x4441)
% 3.80/3.85  [445]~P11(x4451,x4452)+P11(f17(x4451,x4452),x4452)
% 3.80/3.85  [446]~P11(x4461,x4462)+P11(f24(x4461,x4462),x4462)
% 3.80/3.85  [448]~P24(x4482)+E(f5(x4481,x4481,x4482),f4(x4482))
% 3.80/3.85  [449]~P19(x4492)+E(f5(x4491,x4491,x4492),f4(x4492))
% 3.80/3.85  [450]~P8(x4502)+E(f6(x4501,x4501,x4502),f4(x4502))
% 3.80/3.85  [472]P11(x4721,x4722)+~P11(f17(x4721,x4722),x4722)
% 3.80/3.85  [473]P11(x4731,x4732)+~P11(f24(x4731,x4732),x4732)
% 3.80/3.85  [478]~E(f8(x4782,x4781,a1),x4782)+E(x4781,f4(a1))
% 3.80/3.85  [479]E(x4791,f4(a1))+~E(f8(x4792,x4791,a1),f4(a1))
% 3.80/3.85  [480]E(x4801,f4(a1))+~E(f8(x4801,x4802,a1),f4(a1))
% 3.80/3.85  [531]~P12(x5311,x5312,a1)+E(f6(x5311,x5312,a1),x5311)
% 3.80/3.85  [635]~P12(x6352,x6351,a1)+P12(f4(a1),f5(x6351,x6352,a1),a1)
% 3.80/3.85  [636]P12(f6(x6361,x6362,a1),x6362,a1)+~P12(f4(a1),x6362,a1)
% 3.80/3.85  [676]P12(x6761,x6762,a1)+~P12(f4(a1),f5(x6762,x6761,a1),a1)
% 3.80/3.85  [436]E(x4361,f3(x4362))+~E(f37(x4361,f46(x4362)),f4(a1))
% 3.80/3.85  [438]E(x4381,f3(x4382))+E(f16(f17(x4381,x4382),x4382),f15(x4381,x4382))
% 3.80/3.85  [439]E(x4391,f3(x4392))+E(f15(f17(x4391,x4392),x4392),f16(x4391,x4392))
% 3.80/3.85  [451]~P34(x4512)+E(f44(x4511,f9(a1),x4512),x4511)
% 3.80/3.85  [452]~P27(x4522)+E(f44(x4521,f9(a1),x4522),x4521)
% 3.80/3.85  [453]~P6(x4532)+E(f8(x4531,f4(x4532),x4532),x4531)
% 3.80/3.85  [454]~P34(x4542)+E(f8(x4541,f4(x4542),x4542),x4541)
% 3.80/3.85  [455]~P28(x4552)+E(f8(x4551,f4(x4552),x4552),x4551)
% 3.80/3.85  [456]~P24(x4562)+E(f5(x4561,f4(x4562),x4562),x4561)
% 3.80/3.85  [457]~P8(x4572)+E(f6(x4571,f4(x4572),x4572),x4571)
% 3.80/3.85  [458]~P6(x4581)+E(f8(f4(x4581),x4582,x4581),x4582)
% 3.80/3.85  [460]~P34(x4601)+E(f8(f4(x4601),x4602,x4601),x4602)
% 3.80/3.85  [461]~P28(x4611)+E(f8(f4(x4611),x4612,x4611),x4612)
% 3.80/3.85  [462]~P34(x4622)+E(f44(x4621,f4(a1),x4622),f9(x4622))
% 3.80/3.85  [463]~P35(x4632)+E(f44(x4631,f4(a1),x4632),f9(x4632))
% 3.80/3.85  [465]~P8(x4652)+E(f6(x4651,f9(x4652),x4652),f4(x4652))
% 3.80/3.85  [466]~P27(x4661)+E(f44(f9(x4661),x4662,x4661),f9(x4661))
% 3.80/3.85  [467]~P8(x4671)+E(f6(f4(x4671),x4672,x4671),f4(x4671))
% 3.80/3.85  [496]E(x4961,f3(x4962))+P12(f4(a1),f37(x4961,f46(x4962)),a1)
% 3.80/3.85  [508]E(x5081,f3(x5082))+E(f14(f28(x5081,x5082),f33(x5081,x5082),x5082),x5081)
% 3.80/3.85  [509]E(x5091,f3(x5092))+E(f14(f29(x5091,x5092),f32(x5091,x5092),x5092),x5091)
% 3.80/3.85  [510]E(x5101,f3(x5102))+E(f14(f34(x5101,x5102),f35(x5101,x5102),x5102),x5101)
% 3.80/3.85  [525]E(f18(x5251,x5252),x5251)+~E(f37(f18(x5251,x5252),f46(x5252)),f37(x5251,f46(x5252)))
% 3.80/3.85  [535]~P2(x5352)+P14(f14(x5351,f3(x5352),x5352),x5352)
% 3.80/3.85  [563]E(x5631,f3(x5632))+E(f8(f37(f26(x5631,x5632),f46(x5632)),f9(a1),a1),f37(x5631,f46(x5632)))
% 3.80/3.85  [588]~P1(x5882)+P12(x5881,f8(x5881,f9(x5882),x5882),x5882)
% 3.80/3.85  [605]P12(x6052,x6051,a1)+E(f8(x6051,f5(x6052,x6051,a1),a1),x6052)
% 3.80/3.85  [610]P12(x6101,x6102,a1)+P12(x6102,f8(x6101,f9(a1),a1),a1)
% 3.80/3.85  [654]P12(x6541,x6542,a1)+E(f6(f5(x6541,x6542,a1),x6542,a1),f6(x6541,x6542,a1))
% 3.80/3.85  [716]~P12(x7161,x7162,a1)+~P12(x7162,f8(x7161,f9(a1),a1),a1)
% 3.80/3.85  [762]E(x7621,f4(a1))+E(f8(f8(f5(x7621,f9(a1),a1),x7622,a1),f9(a1),a1),f8(x7621,x7622,a1))
% 3.80/3.85  [776]P12(x7761,x7762,a1)+~P12(f8(x7761,f9(a1),a1),f8(x7762,f9(a1),a1),a1)
% 3.80/3.85  [656]E(x6561,f3(x6562))+E(f11(f26(x6561,x6562),f14(f15(x6561,x6562),f3(x6562),x6562),x6562),f24(x6561,x6562))
% 3.80/3.85  [759]~E(f8(f6(x7591,x7592,a1),f9(a1),a1),x7592)+E(f6(f8(x7591,f9(a1),a1),x7592,a1),f4(a1))
% 3.80/3.85  [774]~P12(f4(a1),x7741,a1)+P12(f5(x7741,f8(x7742,f9(a1),a1),a1),x7741,a1)
% 3.80/3.85  [777]E(f8(f6(x7771,x7772,a1),f9(a1),a1),x7772)+E(f6(f8(x7771,f9(a1),a1),x7772,a1),f8(f6(x7771,x7772,a1),f9(a1),a1))
% 3.80/3.85  [808]E(x8081,f3(x8082))+E(f11(f36(f5(f37(x8081,f46(x8082)),f9(a1),a1),x8081,x8082),f14(f16(x8081,x8082),f3(x8082),x8082),x8082),x8081)
% 3.80/3.85  [814]E(x8141,x8142)+P11(f14(x8141,f14(x8142,f14(f57(x8141,x8142),f3(a40),a40),a40),a40),a40)
% 3.80/3.85  [815]E(x8151,x8152)+P11(f14(x8151,f14(x8152,f14(f58(x8151,x8152),f3(a40),a40),a40),a40),a40)
% 3.80/3.85  [437]E(x4371,x4372)+~E(f17(x4371,x4373),f17(x4372,x4373))
% 3.80/3.85  [483]~E(f11(x4833,x4831,x4832),x4833)+E(x4831,f3(x4832))
% 3.80/3.85  [484]~E(f11(x4841,x4843,x4842),x4843)+E(x4841,f3(x4842))
% 3.80/3.85  [489]~E(f21(x4891,x4892,x4893),f3(x4893))+E(x4891,f4(a1))
% 3.80/3.85  [493]~E(f11(x4933,x4931,x4932),f3(x4932))+E(x4931,f3(x4932))
% 3.80/3.85  [494]~E(f25(x4943,x4941,x4942),f3(x4942))+E(x4941,f3(x4942))
% 3.80/3.85  [495]~E(f11(x4951,x4953,x4952),f3(x4952))+E(x4951,f3(x4952))
% 3.80/3.85  [511]~P6(x5113)+E(f8(x5111,x5112,x5113),f8(x5112,x5111,x5113))
% 3.80/3.85  [513]~P34(x5133)+E(f8(x5131,x5132,x5133),f8(x5132,x5131,x5133))
% 3.80/3.85  [514]~P2(x5143)+E(f38(x5141,x5142,x5143),f38(x5142,x5141,x5143))
% 3.80/3.85  [530]~P11(x5302,x5303)+E(f23(x5301,x5302,x5303),f22(x5301,x5302,x5303))
% 3.80/3.85  [536]~P11(x5362,x5363)+P11(f36(x5361,x5362,x5363),x5363)
% 3.80/3.85  [537]~P11(x5372,x5373)+P11(f10(x5371,x5372,x5373),x5373)
% 3.80/3.85  [538]~P11(x5382,x5383)+P11(f25(x5381,x5382,x5383),x5383)
% 3.80/3.85  [539]~P11(x5392,x5393)+P11(f22(x5391,x5392,x5393),x5393)
% 3.80/3.85  [557]E(x5571,x5572)+~E(f8(x5573,x5571,a1),f8(x5573,x5572,a1))
% 3.80/3.85  [558]E(x5581,x5582)+~E(f8(x5581,x5583,a1),f8(x5582,x5583,a1))
% 3.80/3.85  [559]~P2(x5593)+P16(f38(x5591,x5592,x5593),x5592,x5593)
% 3.80/3.85  [560]~P2(x5603)+P16(f38(x5601,x5602,x5603),x5601,x5603)
% 3.80/3.85  [600]P11(x6001,x6002)+~P11(f11(x6003,x6001,x6002),x6002)
% 3.80/3.85  [601]P11(x6011,x6012)+~P11(f11(x6011,x6013,x6012),x6012)
% 3.80/3.85  [602]P11(x6021,x6022)+~P11(f25(x6023,x6021,x6022),x6022)
% 3.80/3.85  [603]P11(x6031,x6032)+~P11(f14(x6033,x6031,x6032),x6032)
% 3.80/3.85  [630]~P12(x6301,x6303,a1)+P12(x6301,f8(x6302,x6303,a1),a1)
% 3.80/3.85  [632]~P12(x6321,x6322,a1)+P12(x6321,f8(x6322,x6323,a1),a1)
% 3.80/3.85  [633]~P12(x6331,x6333,a1)+P12(f5(x6331,x6332,a1),x6333,a1)
% 3.80/3.85  [672]P12(x6721,x6722,a1)+~P12(f8(x6721,x6723,a1),x6722,a1)
% 3.80/3.85  [721]~P12(x7211,x7213,a1)+P12(f8(x7211,x7212,a1),f8(x7213,x7212,a1),a1)
% 3.80/3.85  [722]~P12(x7222,x7223,a1)+P12(f8(x7221,x7222,a1),f8(x7221,x7223,a1),a1)
% 3.80/3.85  [755]~P12(f8(x7551,x7553,a1),x7552,a1)+P12(x7551,f5(x7552,x7553,a1),a1)
% 3.80/3.85  [756]~P12(x7561,f5(x7563,x7562,a1),a1)+P12(f8(x7561,x7562,a1),x7563,a1)
% 3.80/3.85  [773]P12(x7731,x7732,a1)+~P12(f8(x7733,x7731,a1),f8(x7733,x7732,a1),a1)
% 3.80/3.85  [526]E(x5261,f4(a1))+E(f16(f21(x5261,x5262,x5263),x5263),x5262)
% 3.80/3.85  [527]E(x5271,f4(a1))+E(f15(f21(x5271,x5272,x5273),x5273),x5272)
% 3.80/3.85  [532]E(x5321,f3(x5322))+E(f16(f11(x5323,x5321,x5322),x5322),f16(x5321,x5322))
% 3.80/3.85  [533]E(x5331,f3(x5332))+E(f16(f14(x5333,x5331,x5332),x5332),f16(x5331,x5332))
% 3.80/3.85  [534]E(x5341,f3(x5342))+E(f15(f11(x5341,x5343,x5342),x5342),f15(x5341,x5342))
% 3.80/3.85  [561]~P24(x5613)+E(f8(f5(x5611,x5612,x5613),x5612,x5613),x5611)
% 3.80/3.85  [562]~P24(x5623)+E(f5(f8(x5621,x5622,x5623),x5622,x5623),x5621)
% 3.80/3.85  [573]~E(f17(x5731,x5733),f14(x5732,f3(x5733),x5733))+E(x5731,f14(x5732,f3(x5733),x5733))
% 3.80/3.85  [574]~E(f14(x5742,f3(x5743),x5743),f17(x5741,x5743))+E(x5741,f14(x5742,f3(x5743),x5743))
% 3.80/3.85  [604]E(x6041,f3(x6042))+E(f11(f26(x6041,x6042),x6043,x6042),f26(f11(x6041,x6043,x6042),x6042))
% 3.80/3.85  [612]~P2(x6123)+E(f38(x6121,f38(x6121,x6122,x6123),x6123),f38(x6121,x6122,x6123))
% 3.80/3.85  [613]~P8(x6133)+E(f6(f8(x6131,x6132,x6133),x6132,x6133),f6(x6131,x6132,x6133))
% 3.80/3.85  [614]~P8(x6143)+E(f6(f8(x6141,x6142,x6143),x6141,x6143),f6(x6142,x6141,x6143))
% 3.80/3.85  [615]~P8(x6153)+E(f6(f6(x6151,x6152,x6153),x6152,x6153),f6(x6151,x6152,x6153))
% 3.80/3.85  [666]~P12(x6661,f37(x6662,f46(x6663)),a1)+E(f16(f10(x6661,x6662,x6663),x6663),f16(x6662,x6663))
% 3.80/3.85  [598]E(f25(x5981,x5982,x5983),x5982)+~E(f6(x5981,f37(x5982,f46(x5983)),a1),f4(a1))
% 3.80/3.85  [667]E(x6671,f4(a1))+E(f26(f21(x6671,x6672,x6673),x6673),f21(f5(x6671,f9(a1),a1),x6672,x6673))
% 3.80/3.85  [757]E(x7571,f3(x7572))+E(f14(f15(x7571,x7572),f36(x7573,f26(x7571,x7572),x7572),x7572),f36(f8(x7573,f9(a1),a1),x7571,x7572))
% 3.80/3.85  [818]~P12(x8181,f37(x8182,f46(x8183)),a1)+E(f11(f36(x8181,x8182,x8183),f14(f15(f10(x8181,x8182,x8183),x8183),f3(x8183),x8183),x8183),f36(f8(x8181,f9(a1),a1),x8182,x8183))
% 3.80/3.85  [752]~E(f36(f37(x7521,f46(x7522)),x7523,x7522),x7521)+E(f11(x7521,f10(f37(x7521,f46(x7522)),x7523,x7522),x7522),x7523)
% 3.80/3.85  [810]~P12(x8101,f37(x8102,f46(x8103)),a1)+E(f36(x8101,f36(f5(f37(x8102,f46(x8103)),f9(a1),a1),x8102,x8103),x8103),f36(x8101,x8102,x8103))
% 3.80/3.85  [813]E(x8131,f3(x8132))+E(f16(f20(x8131,f5(f37(x8131,f46(x8132)),f9(a1),a1),x8133,x8132),x8132),x8133)
% 3.80/3.85  [823]E(x8231,f3(x8232))+E(f36(f5(f37(f11(x8233,x8231,x8232),f46(x8232)),f9(a1),a1),f11(x8233,x8231,x8232),x8232),f11(x8233,f36(f5(f37(x8231,f46(x8232)),f9(a1),a1),x8231,x8232),x8232))
% 3.80/3.85  [824]E(x8241,f3(x8242))+E(f36(f5(f37(f14(x8243,x8241,x8242),f46(x8242)),f9(a1),a1),f14(x8243,x8241,x8242),x8242),f14(x8243,f36(f5(f37(x8241,f46(x8242)),f9(a1),a1),x8241,x8242),x8242))
% 3.80/3.85  [565]E(x5651,x5652)+~E(f11(x5653,x5651,x5654),f11(x5653,x5652,x5654))
% 3.80/3.85  [566]E(x5661,x5662)+~E(f11(x5661,x5663,x5664),f11(x5662,x5663,x5664))
% 3.80/3.85  [638]~P13(x6381,x6383,x6384)+P13(x6381,f14(x6382,x6383,x6384),x6384)
% 3.80/3.85  [753]~E(f20(x7531,x7533,x7534,x7532),f3(x7532))+E(x7531,f3(x7532))
% 3.80/3.85  [609]~E(f13(x6091,a1),f4(a1))+E(f36(f13(x6091,a1),f14(x6092,x6093,x6094),x6094),f3(x6094))
% 3.80/3.85  [653]~E(f13(x6531,a1),f4(a1))+E(f10(f13(x6531,a1),f14(x6532,x6533,x6534),x6534),f14(x6532,x6533,x6534))
% 3.80/3.85  [693]E(x6931,x6932)+E(f22(x6931,f14(x6932,x6933,x6934),x6934),f14(x6932,f22(x6931,x6933,x6934),x6934))
% 3.80/3.85  [694]E(x6941,x6942)+E(f23(x6941,f14(x6942,x6943,x6944),x6944),f14(x6942,f23(x6941,x6943,x6944),x6944))
% 3.80/3.85  [698]~P6(x6984)+E(f8(x6981,f8(x6982,x6983,x6984),x6984),f8(x6982,f8(x6981,x6983,x6984),x6984))
% 3.80/3.85  [699]~P19(x6994)+E(f8(x6991,f8(x6992,x6993,x6994),x6994),f8(x6992,f8(x6991,x6993,x6994),x6994))
% 3.80/3.85  [700]~P34(x7004)+E(f8(x7001,f8(x7002,x7003,x7004),x7004),f8(x7002,f8(x7001,x7003,x7004),x7004))
% 3.80/3.85  [701]~P2(x7014)+E(f38(x7011,f38(x7012,x7013,x7014),x7014),f38(x7012,f38(x7011,x7013,x7014),x7014))
% 3.80/3.85  [704]~P6(x7043)+E(f8(f8(x7041,x7042,x7043),x7044,x7043),f8(x7041,f8(x7042,x7044,x7043),x7043))
% 3.80/3.85  [705]~P34(x7053)+E(f8(f8(x7051,x7052,x7053),x7054,x7053),f8(x7051,f8(x7052,x7054,x7053),x7053))
% 3.80/3.85  [706]~P21(x7063)+E(f8(f8(x7061,x7062,x7063),x7064,x7063),f8(x7061,f8(x7062,x7064,x7063),x7063))
% 3.80/3.85  [707]~P2(x7073)+E(f38(f38(x7071,x7072,x7073),x7074,x7073),f38(x7071,f38(x7072,x7074,x7073),x7073))
% 3.80/3.85  [708]~P34(x7083)+E(f8(f8(x7081,x7082,x7083),x7084,x7083),f8(f8(x7081,x7084,x7083),x7082,x7083))
% 3.80/3.85  [763]~P25(x7633)+E(f38(f8(x7631,x7632,x7633),f8(x7634,x7632,x7633),x7633),f8(f38(x7631,x7634,x7633),x7632,x7633))
% 3.80/3.85  [764]~P26(x7643)+E(f38(f5(x7641,x7642,x7643),f5(x7644,x7642,x7643),x7643),f5(f38(x7641,x7644,x7643),x7642,x7643))
% 3.80/3.85  [677]~E(f17(x6771,x6773),f14(x6774,x6772,x6773))+E(x6771,f11(f17(x6772,x6773),f14(x6774,f3(x6773),x6773),x6773))
% 3.80/3.85  [697]E(x6971,f4(a1))+E(f10(x6971,f14(x6972,x6973,x6974),x6974),f10(f5(x6971,f9(a1),a1),x6973,x6974))
% 3.80/3.85  [785]~P9(x7854)+E(f6(f5(x7851,f6(x7852,x7853,x7854),x7854),x7853,x7854),f6(f5(x7851,x7852,x7854),x7853,x7854))
% 3.80/3.85  [787]~P9(x7873)+E(f6(f5(f6(x7871,x7872,x7873),x7874,x7873),x7872,x7873),f6(f5(x7871,x7874,x7873),x7872,x7873))
% 3.80/3.85  [788]~P8(x7884)+E(f6(f8(x7881,f6(x7882,x7883,x7884),x7884),x7883,x7884),f6(f8(x7881,x7882,x7884),x7883,x7884))
% 3.80/3.85  [789]~P8(x7893)+E(f6(f8(f6(x7891,x7892,x7893),x7894,x7893),x7892,x7893),f6(f8(x7891,x7894,x7893),x7892,x7893))
% 3.80/3.85  [811]~P8(x8113)+E(f6(f8(f6(x8111,x8112,x8113),f6(x8114,x8112,x8113),x8113),x8112,x8113),f6(f8(x8111,x8114,x8113),x8112,x8113))
% 3.80/3.85  [812]~P9(x8123)+E(f6(f5(f6(x8121,x8122,x8123),f6(x8124,x8122,x8123),x8123),x8122,x8123),f6(f5(x8121,x8124,x8123),x8122,x8123))
% 3.80/3.85  [826]~P12(x8263,f37(x8261,f46(x8262)),a1)+E(f20(f17(x8261,x8262),f5(f5(f37(x8261,f46(x8262)),x8263,a1),f9(a1),a1),x8264,x8262),f17(f20(x8261,x8263,x8264,x8262),x8262))
% 3.80/3.85  [791]E(x7911,f4(a1))+E(f14(x7912,f36(f5(x7911,f9(a1),a1),x7913,x7914),x7914),f36(x7911,f14(x7912,x7913,x7914),x7914))
% 3.80/3.85  [807]E(x8071,f3(x8072))+E(f14(x8073,f14(f15(x8071,x8072),f27(x8074,f26(x8071,x8072),x8072),x8072),x8072),f27(f14(x8073,x8074,x8072),x8071,x8072))
% 3.80/3.85  [837]E(x8371,f5(f37(x8372,f46(x8373)),f9(a1),a1))+E(f36(f5(f37(f20(x8372,x8371,x8374,x8373),f46(x8373)),f9(a1),a1),f20(x8372,x8371,x8374,x8373),x8373),f20(f36(f5(f37(x8372,f46(x8373)),f9(a1),a1),x8372,x8373),x8371,x8374,x8373))
% 3.80/3.85  [822]~P12(x8221,f37(x8222,f46(x8223)),a1)+E(f11(f36(x8221,x8222,x8223),f14(x8224,f10(f8(x8221,f9(a1),a1),x8222,x8223),x8223),x8223),f20(x8222,x8221,x8224,x8223))
% 3.80/3.85  [564]E(x5641,x5642)+~E(f14(x5643,x5641,x5644),f14(x5645,x5642,x5644))
% 3.80/3.85  [567]E(x5671,x5672)+~E(f14(x5671,x5673,x5674),f14(x5672,x5675,x5674))
% 3.80/3.85  [568]E(x5681,x5682)+~E(f21(x5681,x5683,x5684),f21(x5682,x5685,x5684))
% 3.80/3.85  [790]~P34(x7903)+E(f8(f8(x7901,x7902,x7903),f8(x7904,x7905,x7903),x7903),f8(f8(x7901,x7904,x7903),f8(x7902,x7905,x7903),x7903))
% 3.80/3.85  [817]~P12(x8174,f37(x8171,f46(x8173)),a1)+E(f20(f11(x8171,x8172,x8173),x8174,x8175,x8173),f11(f20(x8171,x8174,x8175,x8173),x8172,x8173))
% 3.80/3.85  [793]E(x7931,x7932)+~E(f11(x7933,f14(x7931,f3(x7934),x7934),x7934),f11(x7935,f14(x7932,f3(x7934),x7934),x7934))
% 3.80/3.85  [794]E(x7941,x7942)+~E(f11(x7941,f14(x7943,f3(x7944),x7944),x7944),f11(x7942,f14(x7945,f3(x7944),x7944),x7944))
% 3.80/3.85  [825]P12(x8253,f37(x8251,f46(x8254)),a1)+E(f11(x8251,f20(x8252,f5(x8253,f37(x8251,f46(x8254)),a1),x8255,x8254),x8254),f20(f11(x8251,x8252,x8254),x8253,x8255,x8254))
% 3.80/3.85  [827]E(x8271,x8272)+E(f20(f20(x8273,x8271,x8274,x8275),x8272,x8276,x8275),f20(f20(x8273,x8272,x8276,x8275),x8271,x8274,x8275))
% 3.80/3.85  [592]~P3(x5921)+~P16(f4(x5921),f4(x5921),x5921)+E(f8(f4(x5921),f4(x5921),x5921),f4(x5921))
% 3.80/3.85  [505]E(x5051,x5052)+P12(x5052,x5051,a1)+P12(x5051,x5052,a1)
% 3.80/3.85  [464]~P2(x4642)+~P14(x4641,x4642)+P14(f18(x4641,x4642),x4642)
% 3.80/3.85  [468]~P33(x4682)+~P18(x4682)+E(f5(x4681,x4681,x4682),f4(x4682))
% 3.80/3.85  [501]~P5(x5012)+~E(f8(x5011,x5011,x5012),f4(x5012))+E(x5011,f4(x5012))
% 3.80/3.85  [569]E(x5691,x5692)+~E(f5(x5692,x5691,a1),f4(a1))+~E(f5(x5691,x5692,a1),f4(a1))
% 3.80/3.85  [658]~P5(x6581)+~P12(f4(x6581),x6582,x6581)+P12(f4(x6581),f8(x6582,x6582,x6581),x6581)
% 3.80/3.85  [661]~P5(x6611)+~P16(f4(x6611),x6612,x6611)+P16(f4(x6611),f8(x6612,x6612,x6611),x6611)
% 3.80/3.85  [662]~P5(x6622)+~P12(x6621,f4(x6622),x6622)+P12(f8(x6621,x6621,x6622),f4(x6622),x6622)
% 3.80/3.85  [663]~P32(x6632)+~P12(x6631,f4(x6632),x6632)+P12(f8(x6631,x6631,x6632),f4(x6632),x6632)
% 3.80/3.85  [664]~P5(x6642)+~P16(x6641,f4(x6642),x6642)+P16(f8(x6641,x6641,x6642),f4(x6642),x6642)
% 3.80/3.85  [710]~P5(x7102)+~P12(f8(x7101,x7101,x7102),f4(x7102),x7102)+P12(x7101,f4(x7102),x7102)
% 3.80/3.85  [711]~P32(x7112)+~P12(f8(x7111,x7111,x7112),f4(x7112),x7112)+P12(x7111,f4(x7112),x7112)
% 3.80/3.85  [712]~P5(x7122)+~P16(f8(x7121,x7121,x7122),f4(x7122),x7122)+P16(x7121,f4(x7122),x7122)
% 3.80/3.85  [713]~P5(x7131)+~P12(f4(x7131),f8(x7132,x7132,x7131),x7131)+P12(f4(x7131),x7132,x7131)
% 3.80/3.85  [714]~P5(x7141)+~P16(f4(x7141),f8(x7142,x7142,x7141),x7141)+P16(f4(x7141),x7142,x7141)
% 3.80/3.85  [715]P12(f5(x7151,x7152,a1),x7151,a1)+~P12(f4(a1),x7152,a1)+~P12(f4(a1),x7151,a1)
% 3.80/3.85  [741]P12(f4(a1),x7411,a1)+P12(f4(a1),x7412,a1)+~P12(f4(a1),f8(x7411,x7412,a1),a1)
% 3.80/3.85  [471]~P33(x4712)+~P18(x4712)+E(f8(x4711,f4(x4712),x4712),x4711)
% 3.80/3.85  [593]E(x5931,f4(a1))+E(x5932,f4(a1))+~E(f8(x5932,x5931,a1),f8(f4(a1),f9(a1),a1))
% 3.80/3.85  [594]E(x5941,f4(a1))+E(x5942,f4(a1))+~E(f8(f4(a1),f9(a1),a1),f8(x5942,x5941,a1))
% 3.80/3.85  [625]E(x6251,f4(a1))+E(x6251,f8(f4(a1),f9(a1),a1))+~E(f8(x6252,x6251,a1),f8(f4(a1),f9(a1),a1))
% 3.80/3.85  [626]E(x6261,f4(a1))+E(x6261,f8(f4(a1),f9(a1),a1))+~E(f8(x6261,x6262,a1),f8(f4(a1),f9(a1),a1))
% 3.80/3.85  [627]E(x6271,f4(a1))+E(x6271,f8(f4(a1),f9(a1),a1))+~E(f8(f4(a1),f9(a1),a1),f8(x6272,x6271,a1))
% 3.80/3.85  [628]E(x6281,f4(a1))+E(x6281,f8(f4(a1),f9(a1),a1))+~E(f8(f4(a1),f9(a1),a1),f8(x6281,x6282,a1))
% 3.80/3.85  [670]E(x6701,f8(f4(a1),f9(a1),a1))+E(x6702,f8(f4(a1),f9(a1),a1))+~E(f8(x6702,x6701,a1),f8(f4(a1),f9(a1),a1))
% 3.80/3.85  [671]E(x6711,f8(f4(a1),f9(a1),a1))+E(x6712,f8(f4(a1),f9(a1),a1))+~E(f8(f4(a1),f9(a1),a1),f8(x6712,x6711,a1))
% 3.80/3.85  [675]~P12(x6751,x6752,a1)+P12(f8(x6751,f9(a1),a1),x6752,a1)+E(f8(x6751,f9(a1),a1),x6752)
% 3.80/3.85  [680]E(x6801,x6802)+P12(x6802,x6801,a1)+~P12(x6802,f8(x6801,f9(a1),a1),a1)
% 3.80/3.85  [682]E(x6821,x6822)+P12(x6821,x6822,a1)+~P12(x6821,f8(x6822,f9(a1),a1),a1)
% 3.80/3.85  [596]~P38(x5961)+~P35(x5961)+E(f44(f4(x5961),f8(x5962,f9(a1),a1),x5961),f4(x5961))
% 3.80/3.85  [517]P16(x5172,x5171,x5173)+~P2(x5173)+P12(x5171,x5172,x5173)
% 3.80/3.85  [519]P16(x5192,x5191,x5193)+~P2(x5193)+P16(x5191,x5192,x5193)
% 3.80/3.85  [540]~P30(x5403)+~P12(x5401,x5402,x5403)+P16(x5401,x5402,x5403)
% 3.80/3.85  [541]~P31(x5413)+~P12(x5411,x5412,x5413)+P16(x5411,x5412,x5413)
% 3.80/3.85  [575]~P12(x5753,x5752,x5751)+~P2(x5751)+~P12(x5752,x5753,x5751)
% 3.80/3.85  [577]~P16(x5773,x5772,x5771)+~P2(x5771)+~P12(x5772,x5773,x5771)
% 3.80/3.85  [580]~P12(x5803,x5802,x5801)+~P30(x5801)+~P12(x5802,x5803,x5801)
% 3.80/3.85  [581]~P16(x5813,x5812,x5811)+~P30(x5811)+~P12(x5812,x5813,x5811)
% 3.80/3.85  [582]~P12(x5823,x5822,x5821)+~P31(x5821)+~P12(x5822,x5823,x5821)
% 3.80/3.85  [497]~E(f36(x4973,x4971,x4972),f3(x4972))+E(x4971,f3(x4972))+E(x4973,f4(a1))
% 3.80/3.85  [498]~P24(x4983)+E(x4981,x4982)+~E(f5(x4981,x4982,x4983),f4(x4983))
% 3.80/3.85  [499]~P19(x4993)+E(x4991,x4992)+~E(f5(x4991,x4992,x4993),f4(x4993))
% 3.80/3.85  [500]~P39(x5002)+~E(f44(x5001,x5003,x5002),f4(x5002))+E(x5001,f4(x5002))
% 3.80/3.85  [542]~P2(x5423)+~P16(x5422,x5421,x5423)+E(f38(x5421,x5422,x5423),x5422)
% 3.80/3.85  [543]~P2(x5433)+~P16(x5431,x5432,x5433)+E(f38(x5431,x5432,x5433),x5431)
% 3.80/3.85  [544]~P2(x5443)+P16(x5441,x5442,x5443)+~E(f38(x5441,x5442,x5443),x5441)
% 3.80/3.85  [553]~P2(x5533)+~P14(x5532,x5533)+P14(f36(x5531,x5532,x5533),x5533)
% 3.80/3.85  [554]~P2(x5543)+~P14(x5542,x5543)+P14(f10(x5541,x5542,x5543),x5543)
% 3.80/3.85  [555]~P2(x5553)+~P14(x5552,x5553)+P14(f22(x5551,x5552,x5553),x5553)
% 3.80/3.85  [606]~P2(x6062)+P14(x6061,x6062)+~P14(f11(x6063,x6061,x6062),x6062)
% 3.80/3.85  [607]~P2(x6072)+P14(x6071,x6072)+~P14(f11(x6071,x6073,x6072),x6072)
% 3.80/3.85  [608]~P2(x6082)+P14(x6081,x6082)+~P14(f14(x6083,x6081,x6082),x6082)
% 3.80/3.85  [651]~P26(x6513)+~P12(x6511,x6512,x6513)+P12(f5(x6511,x6512,x6513),f4(x6513),x6513)
% 3.80/3.85  [652]~P26(x6523)+~P16(x6521,x6522,x6523)+P16(f5(x6521,x6522,x6523),f4(x6523),x6523)
% 3.80/3.85  [657]~P1(x6571)+~P12(f4(x6571),x6572,x6571)+P12(f4(x6571),f44(x6572,x6573,x6571),x6571)
% 3.80/3.85  [659]~P1(x6591)+~P16(f9(x6591),x6592,x6591)+P16(f9(x6591),f44(x6592,x6593,x6591),x6591)
% 3.80/3.85  [660]~P1(x6601)+~P16(f4(x6601),x6602,x6601)+P16(f4(x6601),f44(x6602,x6603,x6601),x6601)
% 3.80/3.85  [695]~P26(x6953)+P12(x6951,x6952,x6953)+~P12(f5(x6951,x6952,x6953),f4(x6953),x6953)
% 3.80/3.85  [696]~P26(x6963)+P16(x6961,x6962,x6963)+~P16(f5(x6961,x6962,x6963),f4(x6963),x6963)
% 3.80/3.85  [761]~P12(x7613,x7612,a1)+~P12(x7613,x7611,a1)+P12(f5(x7611,x7612,a1),f5(x7611,x7613,a1),a1)
% 3.80/3.85  [709]~P12(x7091,x7093,a1)+~P12(x7093,x7092,a1)+P12(f8(x7091,f9(a1),a1),x7092,a1)
% 3.80/3.85  [782]~P1(x7821)+~P12(f9(x7821),x7822,x7821)+P12(f9(x7821),f44(x7822,f8(x7823,f9(a1),a1),x7821),x7821)
% 3.80/3.85  [583]~P22(x5834)+E(x5831,x5832)+~E(f8(x5833,x5831,x5834),f8(x5833,x5832,x5834))
% 3.80/3.85  [584]~P23(x5844)+E(x5841,x5842)+~E(f8(x5843,x5841,x5844),f8(x5843,x5842,x5844))
% 3.80/3.85  [585]~P19(x5854)+E(x5851,x5852)+~E(f5(x5853,x5853,x5854),f5(x5851,x5852,x5854))
% 3.80/3.85  [586]~P23(x5864)+E(x5861,x5862)+~E(f8(x5861,x5863,x5864),f8(x5862,x5863,x5864))
% 3.80/3.85  [587]~P19(x5873)+E(x5871,x5872)+~E(f5(x5871,x5872,x5873),f5(x5874,x5874,x5873))
% 3.80/3.85  [642]~P2(x6423)+~P12(x6422,x6424,x6423)+P12(f38(x6421,x6422,x6423),x6424,x6423)
% 3.80/3.85  [644]~P2(x6443)+~P12(x6441,x6444,x6443)+P12(f38(x6441,x6442,x6443),x6444,x6443)
% 3.80/3.85  [646]~P2(x6463)+~P16(x6462,x6464,x6463)+P16(f38(x6461,x6462,x6463),x6464,x6463)
% 3.80/3.85  [648]~P2(x6483)+~P16(x6481,x6484,x6483)+P16(f38(x6481,x6482,x6483),x6484,x6483)
% 3.80/3.85  [674]~P12(x6744,x6743,a1)+P12(x6741,x6742,a1)+~E(f8(x6741,x6743,a1),f8(x6744,x6742,a1))
% 3.80/3.85  [679]E(x6791,x6792)+P13(x6791,x6793,x6794)+~P13(x6791,f14(x6792,x6793,x6794),x6794)
% 3.80/3.85  [683]~P2(x6833)+P12(x6831,x6832,x6833)+~P12(x6831,f38(x6834,x6832,x6833),x6833)
% 3.80/3.85  [684]~P2(x6843)+P12(x6841,x6842,x6843)+~P12(x6841,f38(x6842,x6844,x6843),x6843)
% 3.80/3.85  [686]~P2(x6863)+P16(x6861,x6862,x6863)+~P16(x6861,f38(x6864,x6862,x6863),x6863)
% 3.80/3.85  [688]~P2(x6883)+P16(x6881,x6882,x6883)+~P16(x6881,f38(x6882,x6884,x6883),x6883)
% 3.80/3.85  [733]~P4(x7333)+~P12(x7331,x7334,x7333)+P12(f8(x7331,x7332,x7333),f8(x7334,x7332,x7333),x7333)
% 3.80/3.85  [734]~P25(x7343)+~P12(x7341,x7344,x7343)+P12(f8(x7341,x7342,x7343),f8(x7344,x7342,x7343),x7343)
% 3.80/3.85  [735]~P4(x7353)+~P12(x7352,x7354,x7353)+P12(f8(x7351,x7352,x7353),f8(x7351,x7354,x7353),x7353)
% 3.80/3.85  [736]~P25(x7363)+~P12(x7362,x7364,x7363)+P12(f8(x7361,x7362,x7363),f8(x7361,x7364,x7363),x7363)
% 3.80/3.85  [737]~P25(x7373)+~P16(x7371,x7374,x7373)+P16(f8(x7371,x7372,x7373),f8(x7374,x7372,x7373),x7373)
% 3.80/3.85  [738]~P29(x7383)+~P16(x7381,x7384,x7383)+P16(f8(x7381,x7382,x7383),f8(x7384,x7382,x7383),x7383)
% 3.80/3.85  [739]~P25(x7393)+~P16(x7392,x7394,x7393)+P16(f8(x7391,x7392,x7393),f8(x7391,x7394,x7393),x7393)
% 3.80/3.85  [740]~P29(x7403)+~P16(x7402,x7404,x7403)+P16(f8(x7401,x7402,x7403),f8(x7401,x7404,x7403),x7403)
% 3.80/3.85  [760]~P12(x7602,x7604,a1)+~P12(x7601,x7603,a1)+P12(f8(x7601,x7602,a1),f8(x7603,x7604,a1),a1)
% 3.80/3.85  [778]~P25(x7783)+P12(x7781,x7782,x7783)+~P12(f8(x7784,x7781,x7783),f8(x7784,x7782,x7783),x7783)
% 3.80/3.85  [779]~P25(x7793)+P12(x7791,x7792,x7793)+~P12(f8(x7791,x7794,x7793),f8(x7792,x7794,x7793),x7793)
% 3.80/3.85  [780]~P25(x7803)+P16(x7801,x7802,x7803)+~P16(f8(x7804,x7801,x7803),f8(x7804,x7802,x7803),x7803)
% 3.80/3.85  [781]~P25(x7813)+P16(x7811,x7812,x7813)+~P16(f8(x7811,x7814,x7813),f8(x7812,x7814,x7813),x7813)
% 3.80/3.85  [800]~P2(x8003)+P16(x8001,x8002,x8003)+~P14(f14(x8001,f14(x8002,x8004,x8003),x8003),x8003)
% 3.80/3.85  [802]E(x8021,f3(x8022))+E(f16(f20(x8021,x8023,x8024,x8022),x8022),f16(x8021,x8022))+E(x8023,f5(f37(x8021,f46(x8022)),f9(a1),a1))
% 3.80/3.85  [570]E(x5701,x5702)+~E(f21(x5703,x5701,x5704),f21(x5705,x5702,x5704))+E(x5703,f4(a1))
% 3.80/3.85  [754]~P19(x7543)+E(f8(x7541,x7542,x7543),x7544)+~E(f8(x7541,f8(x7545,x7542,x7543),x7543),f8(x7545,x7544,x7543))
% 3.80/3.85  [829]~E(f14(x8293,x8294,x8292),f11(x8291,x8295,x8292))+E(x8291,f3(x8292))+E(f14(x8293,f30(x8293,x8294,x8291,x8295,x8292),x8292),x8291)
% 3.80/3.85  [830]~E(f14(x8303,x8304,x8302),f11(x8301,x8305,x8302))+E(x8301,f3(x8302))+E(f11(f31(x8303,x8304,x8301,x8305,x8302),x8305,x8302),x8304)
% 3.80/3.85  [831]~E(f14(x8313,x8314,x8312),f11(x8311,x8315,x8312))+E(x8311,f3(x8312))+E(f14(x8313,f31(x8313,x8314,x8311,x8315,x8312),x8312),x8311)
% 3.80/3.85  [832]~E(f14(x8323,x8324,x8322),f11(x8321,x8325,x8322))+E(x8321,f3(x8322))+E(f11(f30(x8323,x8324,x8321,x8325,x8322),x8325,x8322),x8324)
% 3.80/3.85  [833]~E(f14(x8332,x8333,x8334),f11(x8335,x8331,x8334))+E(x8331,f14(x8332,x8333,x8334))+E(f14(x8332,f30(x8332,x8333,x8335,x8331,x8334),x8334),x8335)
% 3.80/3.85  [834]~E(f14(x8342,x8343,x8344),f11(x8345,x8341,x8344))+E(x8341,f14(x8342,x8343,x8344))+E(f11(f30(x8342,x8343,x8345,x8341,x8344),x8341,x8344),x8343)
% 3.80/3.85  [835]~E(f14(x8351,x8352,x8353),f11(x8355,x8354,x8353))+E(f14(x8351,x8352,x8353),x8354)+E(f11(f31(x8351,x8352,x8355,x8354,x8353),x8354,x8353),x8352)
% 3.80/3.85  [836]~E(f14(x8361,x8362,x8363),f11(x8365,x8364,x8363))+E(f14(x8361,x8362,x8363),x8364)+E(f14(x8361,f31(x8361,x8362,x8365,x8364,x8363),x8363),x8365)
% 3.80/3.85  [476]~P38(x4762)+~P35(x4762)+E(x4761,f4(a1))+E(f44(f4(x4762),x4761,x4762),f4(x4762))
% 3.80/3.85  [523]P12(x5231,x5232,x5233)+~P2(x5233)+E(x5231,x5232)+P12(x5232,x5231,x5233)
% 3.80/3.85  [524]P12(x5241,x5242,x5243)+~P32(x5243)+E(x5241,x5242)+P12(x5242,x5241,x5243)
% 3.80/3.85  [546]~P2(x5463)+~P16(x5461,x5462,x5463)+E(x5461,x5462)+P12(x5461,x5462,x5463)
% 3.80/3.85  [552]~P31(x5523)+~P16(x5521,x5522,x5523)+E(x5521,x5522)+P12(x5521,x5522,x5523)
% 3.80/3.85  [591]~P16(x5912,x5911,x5913)+~P16(x5911,x5912,x5913)+E(x5911,x5912)+~P31(x5913)
% 3.80/3.85  [599]P16(x5992,x5991,x5993)+~P30(x5993)+~P16(x5991,x5992,x5993)+P12(x5991,x5992,x5993)
% 3.80/3.85  [441]~P18(x4413)+~P20(x4413)+E(x4411,x4412)+~E(f13(x4411,x4413),f13(x4412,x4413))
% 3.80/3.85  [502]~P33(x5022)+~P18(x5022)+~E(f8(x5023,x5021,x5022),x5023)+E(x5021,f4(x5022))
% 3.80/3.85  [503]~P33(x5033)+~P18(x5033)+E(x5031,x5032)+~E(f5(x5031,x5032,x5033),f4(x5033))
% 3.80/3.85  [732]~P1(x7321)+~P12(f9(x7321),x7322,x7321)+P12(f9(x7321),f44(x7322,x7323,x7321),x7321)+~P12(f4(a1),x7323,a1)
% 3.80/3.85  [742]~P3(x7421)+~P12(f4(x7421),x7423,x7421)+~P12(f4(x7421),x7422,x7421)+P12(f4(x7421),f8(x7422,x7423,x7421),x7421)
% 3.80/3.85  [743]~P3(x7431)+~P12(f4(x7431),x7433,x7431)+~P16(f4(x7431),x7432,x7431)+P12(f4(x7431),f8(x7432,x7433,x7431),x7431)
% 3.80/3.85  [744]~P3(x7441)+~P12(f4(x7441),x7442,x7441)+~P16(f4(x7441),x7443,x7441)+P12(f4(x7441),f8(x7442,x7443,x7441),x7441)
% 3.80/3.85  [745]~P3(x7451)+~P16(f4(x7451),x7453,x7451)+~P16(f4(x7451),x7452,x7451)+P16(f4(x7451),f8(x7452,x7453,x7451),x7451)
% 3.80/3.85  [746]~P3(x7463)+~P12(x7462,f4(x7463),x7463)+~P12(x7461,f4(x7463),x7463)+P12(f8(x7461,x7462,x7463),f4(x7463),x7463)
% 3.80/3.85  [747]~P3(x7473)+~P12(x7472,f4(x7473),x7473)+~P16(x7471,f4(x7473),x7473)+P12(f8(x7471,x7472,x7473),f4(x7473),x7473)
% 3.80/3.85  [748]~P3(x7483)+~P12(x7481,f4(x7483),x7483)+~P16(x7482,f4(x7483),x7483)+P12(f8(x7481,x7482,x7483),f4(x7483),x7483)
% 3.80/3.85  [749]~P3(x7493)+~P16(x7492,f4(x7493),x7493)+~P16(x7491,f4(x7493),x7493)+P16(f8(x7491,x7492,x7493),f4(x7493),x7493)
% 3.80/3.85  [634]~P7(x6342)+~P17(x6342)+P16(f13(x6341,x6342),f13(x6343,x6342),x6342)+E(f38(f13(x6341,x6342),f13(x6343,x6342),x6342),f13(x6343,x6342))
% 3.80/3.85  [673]~P7(x6732)+~P17(x6732)+~P16(f13(x6731,x6732),f13(x6733,x6732),x6732)+E(f38(f13(x6731,x6732),f13(x6733,x6732),x6732),f13(x6731,x6732))
% 3.80/3.85  [799]~P1(x7993)+~P12(x7991,f9(x7993),x7993)+~P12(f4(x7993),x7991,x7993)+P12(f44(x7991,f8(x7992,f9(a1),a1),x7993),f9(x7993),x7993)
% 3.80/3.85  [617]~P30(x6173)+~P12(x6171,x6174,x6173)+P12(x6171,x6172,x6173)+~P12(x6174,x6172,x6173)
% 3.80/3.85  [618]~P30(x6183)+~P16(x6181,x6184,x6183)+P12(x6181,x6182,x6183)+~P12(x6184,x6182,x6183)
% 3.80/3.85  [619]~P30(x6193)+~P16(x6194,x6192,x6193)+P12(x6191,x6192,x6193)+~P12(x6191,x6194,x6193)
% 3.80/3.85  [620]~P31(x6203)+~P12(x6201,x6204,x6203)+P12(x6201,x6202,x6203)+~P12(x6204,x6202,x6203)
% 3.80/3.85  [621]~P31(x6213)+~P16(x6211,x6214,x6213)+P12(x6211,x6212,x6213)+~P12(x6214,x6212,x6213)
% 3.80/3.85  [622]~P31(x6223)+~P16(x6224,x6222,x6223)+P12(x6221,x6222,x6223)+~P12(x6221,x6224,x6223)
% 3.80/3.85  [623]~P30(x6233)+~P16(x6231,x6234,x6233)+P16(x6231,x6232,x6233)+~P16(x6234,x6232,x6233)
% 3.80/3.85  [624]~P31(x6243)+~P16(x6241,x6244,x6243)+P16(x6241,x6242,x6243)+~P16(x6244,x6242,x6243)
% 3.80/3.85  [595]~P33(x5954)+~P18(x5954)+E(x5951,x5952)+~E(f8(x5953,x5951,x5954),f8(x5953,x5952,x5954))
% 3.80/3.85  [665]~P1(x6654)+E(x6651,x6652)+~P12(f9(x6654),x6653,x6654)+~E(f44(x6653,x6651,x6654),f44(x6653,x6652,x6654))
% 3.80/3.85  [717]~P2(x7174)+~P12(x7171,x7173,x7174)+~P12(x7171,x7172,x7174)+P12(x7171,f38(x7172,x7173,x7174),x7174)
% 3.80/3.85  [720]~P2(x7204)+~P16(x7201,x7203,x7204)+~P16(x7201,x7202,x7204)+P16(x7201,f38(x7202,x7203,x7204),x7204)
% 3.80/3.85  [725]~P1(x7254)+~P12(x7251,x7253,x7254)+~P12(f4(x7254),x7252,x7254)+P12(x7251,f8(x7252,x7253,x7254),x7254)
% 3.80/3.85  [750]~P2(x7503)+P12(x7501,x7502,x7503)+P12(x7504,x7502,x7503)+~P12(f38(x7501,x7504,x7503),x7502,x7503)
% 3.80/3.85  [751]~P2(x7513)+P16(x7511,x7512,x7513)+P16(x7514,x7512,x7513)+~P16(f38(x7511,x7514,x7513),x7512,x7513)
% 3.80/3.85  [770]~P1(x7703)+~P12(x7702,x7704,a1)+~P12(f9(x7703),x7701,x7703)+P12(f44(x7701,x7702,x7703),f44(x7701,x7704,x7703),x7703)
% 3.80/3.85  [771]~P1(x7713)+~P16(x7711,x7714,x7713)+~P16(f4(x7713),x7711,x7713)+P16(f44(x7711,x7712,x7713),f44(x7714,x7712,x7713),x7713)
% 3.80/3.85  [797]~P1(x7973)+~P12(f44(x7974,x7971,x7973),f44(x7974,x7972,x7973),x7973)+P12(x7971,x7972,a1)+~P12(f9(x7973),x7974,x7973)
% 3.80/3.85  [798]~P1(x7983)+P12(x7981,x7982,x7983)+~P16(f4(x7983),x7982,x7983)+~P12(f44(x7981,x7984,x7983),f44(x7982,x7984,x7983),x7983)
% 3.80/3.85  [801]~P2(x8014)+~P16(x8011,x8012,x8014)+~P14(f14(x8012,x8013,x8014),x8014)+P14(f14(x8011,f14(x8012,x8013,x8014),x8014),x8014)
% 3.80/3.85  [821]~P1(x8213)+P16(x8211,x8212,x8213)+~P16(f4(x8213),x8212,x8213)+~P16(f44(x8211,f8(x8214,f9(a1),a1),x8213),f44(x8212,f8(x8214,f9(a1),a1),x8213),x8213)
% 3.80/3.85  [828]~E(f36(f37(x8281,f46(x8282)),x8283,x8282),x8281)+~E(f36(f37(x8283,f46(x8282)),x8281,x8282),x8283)+~E(f11(f10(f37(x8283,f46(x8282)),x8281,x8282),f11(f10(f37(x8281,f46(x8282)),x8283,x8282),x8284,x8282),x8282),x8284)+E(f11(x8281,f11(f10(f37(x8281,f46(x8282)),x8283,x8282),x8284,x8282),x8282),f11(x8283,x8284,x8282))
% 3.80/3.85  [689]~P26(x6893)+~P12(x6894,x6895,x6893)+P12(x6891,x6892,x6893)+~E(f5(x6894,x6895,x6893),f5(x6891,x6892,x6893))
% 3.80/3.85  [690]~P26(x6903)+~P12(x6904,x6905,x6903)+P12(x6901,x6902,x6903)+~E(f5(x6901,x6902,x6903),f5(x6904,x6905,x6903))
% 3.80/3.85  [691]~P26(x6913)+~P16(x6915,x6914,x6913)+P16(x6911,x6912,x6913)+~E(f5(x6914,x6915,x6913),f5(x6912,x6911,x6913))
% 3.80/3.85  [692]~P26(x6923)+~P16(x6925,x6924,x6923)+P16(x6921,x6922,x6923)+~E(f5(x6922,x6921,x6923),f5(x6924,x6925,x6923))
% 3.80/3.85  [765]~P4(x7653)+~P12(x7652,x7655,x7653)+~P12(x7651,x7654,x7653)+P12(f8(x7651,x7652,x7653),f8(x7654,x7655,x7653),x7653)
% 3.80/3.85  [766]~P4(x7663)+~P12(x7662,x7665,x7663)+~P16(x7661,x7664,x7663)+P12(f8(x7661,x7662,x7663),f8(x7664,x7665,x7663),x7663)
% 3.80/3.85  [767]~P4(x7673)+~P12(x7671,x7674,x7673)+~P16(x7672,x7675,x7673)+P12(f8(x7671,x7672,x7673),f8(x7674,x7675,x7673),x7673)
% 3.80/3.85  [768]~P29(x7683)+~P16(x7682,x7685,x7683)+~P16(x7681,x7684,x7683)+P16(f8(x7681,x7682,x7683),f8(x7684,x7685,x7683),x7683)
% 3.80/3.85  [783]~P26(x7834)+~P16(x7835,x7833,x7834)+~P16(x7831,f8(x7832,x7835,x7834),x7834)+P16(x7831,f8(x7832,x7833,x7834),x7834)
% 3.80/3.85  [805]~P8(x8053)+~E(f6(x8051,x8054,x8053),f6(x8055,x8054,x8053))+~E(f6(x8052,x8054,x8053),f6(x8056,x8054,x8053))+E(f6(f8(x8051,x8052,x8053),x8054,x8053),f6(f8(x8055,x8056,x8053),x8054,x8053))
% 3.80/3.85  [806]~P9(x8063)+~E(f6(x8061,x8064,x8063),f6(x8065,x8064,x8063))+~E(f6(x8062,x8064,x8063),f6(x8066,x8064,x8063))+E(f6(f5(x8061,x8062,x8063),x8064,x8063),f6(f5(x8065,x8066,x8063),x8064,x8063))
% 3.80/3.85  [528]~P35(x5282)+~P40(x5282)+~P36(x5282)+~P37(x5282)+~E(f44(x5281,f4(a1),x5282),f4(x5282))
% 3.80/3.85  [668]~P3(x6682)+~P16(f4(x6682),x6681,x6682)+~P16(f4(x6682),x6683,x6682)+~E(f8(x6683,x6681,x6682),f4(x6682))+E(x6681,f4(x6682))
% 3.80/3.85  [669]~P3(x6692)+~P16(f4(x6692),x6693,x6692)+~P16(f4(x6692),x6691,x6692)+~E(f8(x6691,x6693,x6692),f4(x6692))+E(x6691,f4(x6692))
% 3.80/3.85  [728]~P25(x7284)+~P6(x7284)+~P12(x7281,x7283,x7284)+~P16(f4(x7284),x7282,x7284)+P12(x7281,f8(x7282,x7283,x7284),x7284)
% 3.80/3.85  [729]~P25(x7294)+~P6(x7294)+~P16(x7291,x7293,x7294)+~P12(f4(x7294),x7292,x7294)+P12(x7291,f8(x7292,x7293,x7294),x7294)
% 3.80/3.85  [730]~P25(x7304)+~P6(x7304)+~P16(x7301,x7303,x7304)+~P16(f4(x7304),x7302,x7304)+P16(x7301,f8(x7302,x7303,x7304),x7304)
% 3.80/3.85  [731]~P25(x7314)+~P6(x7314)+~P16(x7311,x7312,x7314)+~P16(f4(x7314),x7313,x7314)+P16(x7311,f8(x7312,x7313,x7314),x7314)
% 3.80/3.85  [792]~P1(x7923)+~P12(x7921,x7924,x7923)+~P16(f4(x7923),x7921,x7923)+P12(f44(x7921,x7922,x7923),f44(x7924,x7922,x7923),x7923)+~P12(f4(a1),x7922,a1)
% 3.80/3.85  [795]~P1(x7953)+~P12(x7954,x7952,a1)+~P12(x7951,f9(x7953),x7953)+~P12(f4(x7953),x7951,x7953)+P12(f44(x7951,x7952,x7953),f44(x7951,x7954,x7953),x7953)
% 3.80/3.85  [809]~P1(x8094)+E(x8091,x8092)+~P16(f4(x8094),x8092,x8094)+~P16(f4(x8094),x8091,x8094)+~E(f44(x8091,f8(x8093,f9(a1),a1),x8094),f44(x8092,f8(x8093,f9(a1),a1),x8094))
% 3.80/3.85  [490]~P35(x4902)+~P40(x4902)+~P36(x4902)+~P37(x4902)+E(x4901,f4(a1))+E(f44(f4(x4902),x4901,x4902),f4(x4902))
% 3.80/3.85  [529]~P35(x5292)+~P40(x5292)+~P36(x5292)+~P37(x5292)+~E(f44(x5291,x5293,x5292),f4(x5292))+E(x5291,f4(x5292))
% 3.80/3.85  [772]~P1(x7724)+E(x7721,x7722)+~P16(f4(x7724),x7722,x7724)+~P16(f4(x7724),x7721,x7724)+~E(f44(x7721,x7723,x7724),f44(x7722,x7723,x7724))+~P12(f4(a1),x7723,a1)
% 3.80/3.85  %EqnAxiom
% 3.80/3.86  [1]E(x11,x11)
% 3.80/3.86  [2]E(x22,x21)+~E(x21,x22)
% 3.80/3.86  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.80/3.86  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.80/3.86  [5]~E(x51,x52)+E(f20(x51,x53,x54,x55),f20(x52,x53,x54,x55))
% 3.80/3.86  [6]~E(x61,x62)+E(f20(x63,x61,x64,x65),f20(x63,x62,x64,x65))
% 3.80/3.86  [7]~E(x71,x72)+E(f20(x73,x74,x71,x75),f20(x73,x74,x72,x75))
% 3.80/3.86  [8]~E(x81,x82)+E(f20(x83,x84,x85,x81),f20(x83,x84,x85,x82))
% 3.80/3.86  [9]~E(x91,x92)+E(f36(x91,x93,x94),f36(x92,x93,x94))
% 3.80/3.86  [10]~E(x101,x102)+E(f36(x103,x101,x104),f36(x103,x102,x104))
% 3.80/3.86  [11]~E(x111,x112)+E(f36(x113,x114,x111),f36(x113,x114,x112))
% 3.80/3.86  [12]~E(x121,x122)+E(f17(x121,x123),f17(x122,x123))
% 3.80/3.86  [13]~E(x131,x132)+E(f17(x133,x131),f17(x133,x132))
% 3.80/3.86  [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144))
% 3.80/3.86  [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154))
% 3.80/3.86  [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162))
% 3.80/3.86  [17]~E(x171,x172)+E(f9(x171),f9(x172))
% 3.80/3.86  [18]~E(x181,x182)+E(f18(x181,x183),f18(x182,x183))
% 3.80/3.86  [19]~E(x191,x192)+E(f18(x193,x191),f18(x193,x192))
% 3.80/3.86  [20]~E(x201,x202)+E(f37(x201,x203),f37(x202,x203))
% 3.80/3.86  [21]~E(x211,x212)+E(f37(x213,x211),f37(x213,x212))
% 3.80/3.86  [22]~E(x221,x222)+E(f46(x221),f46(x222))
% 3.80/3.86  [23]~E(x231,x232)+E(f6(x231,x233,x234),f6(x232,x233,x234))
% 3.80/3.86  [24]~E(x241,x242)+E(f6(x243,x241,x244),f6(x243,x242,x244))
% 3.80/3.86  [25]~E(x251,x252)+E(f6(x253,x254,x251),f6(x253,x254,x252))
% 3.80/3.86  [26]~E(x261,x262)+E(f16(x261,x263),f16(x262,x263))
% 3.80/3.86  [27]~E(x271,x272)+E(f16(x273,x271),f16(x273,x272))
% 3.80/3.86  [28]~E(x281,x282)+E(f57(x281,x283),f57(x282,x283))
% 3.80/3.86  [29]~E(x291,x292)+E(f57(x293,x291),f57(x293,x292))
% 3.80/3.86  [30]~E(x301,x302)+E(f8(x301,x303,x304),f8(x302,x303,x304))
% 3.80/3.86  [31]~E(x311,x312)+E(f8(x313,x311,x314),f8(x313,x312,x314))
% 3.80/3.86  [32]~E(x321,x322)+E(f8(x323,x324,x321),f8(x323,x324,x322))
% 3.80/3.86  [33]~E(x331,x332)+E(f44(x331,x333,x334),f44(x332,x333,x334))
% 3.80/3.86  [34]~E(x341,x342)+E(f44(x343,x341,x344),f44(x343,x342,x344))
% 3.80/3.86  [35]~E(x351,x352)+E(f44(x353,x354,x351),f44(x353,x354,x352))
% 3.80/3.86  [36]~E(x361,x362)+E(f13(x361,x363),f13(x362,x363))
% 3.80/3.86  [37]~E(x371,x372)+E(f13(x373,x371),f13(x373,x372))
% 3.80/3.86  [38]~E(x381,x382)+E(f24(x381,x383),f24(x382,x383))
% 3.80/3.86  [39]~E(x391,x392)+E(f24(x393,x391),f24(x393,x392))
% 3.80/3.86  [40]~E(x401,x402)+E(f14(x401,x403,x404),f14(x402,x403,x404))
% 3.80/3.86  [41]~E(x411,x412)+E(f14(x413,x411,x414),f14(x413,x412,x414))
% 3.80/3.86  [42]~E(x421,x422)+E(f14(x423,x424,x421),f14(x423,x424,x422))
% 3.80/3.86  [43]~E(x431,x432)+E(f4(x431),f4(x432))
% 3.80/3.86  [44]~E(x441,x442)+E(f26(x441,x443),f26(x442,x443))
% 3.80/3.86  [45]~E(x451,x452)+E(f26(x453,x451),f26(x453,x452))
% 3.80/3.86  [46]~E(x461,x462)+E(f27(x461,x463,x464),f27(x462,x463,x464))
% 3.80/3.86  [47]~E(x471,x472)+E(f27(x473,x471,x474),f27(x473,x472,x474))
% 3.80/3.86  [48]~E(x481,x482)+E(f27(x483,x484,x481),f27(x483,x484,x482))
% 3.80/3.86  [49]~E(x491,x492)+E(f11(x491,x493,x494),f11(x492,x493,x494))
% 3.80/3.86  [50]~E(x501,x502)+E(f11(x503,x501,x504),f11(x503,x502,x504))
% 3.80/3.86  [51]~E(x511,x512)+E(f11(x513,x514,x511),f11(x513,x514,x512))
% 3.80/3.86  [52]~E(x521,x522)+E(f38(x521,x523,x524),f38(x522,x523,x524))
% 3.80/3.86  [53]~E(x531,x532)+E(f38(x533,x531,x534),f38(x533,x532,x534))
% 3.80/3.86  [54]~E(x541,x542)+E(f38(x543,x544,x541),f38(x543,x544,x542))
% 3.80/3.86  [55]~E(x551,x552)+E(f21(x551,x553,x554),f21(x552,x553,x554))
% 3.80/3.86  [56]~E(x561,x562)+E(f21(x563,x561,x564),f21(x563,x562,x564))
% 3.80/3.86  [57]~E(x571,x572)+E(f21(x573,x574,x571),f21(x573,x574,x572))
% 3.80/3.86  [58]~E(x581,x582)+E(f23(x581,x583,x584),f23(x582,x583,x584))
% 3.80/3.86  [59]~E(x591,x592)+E(f23(x593,x591,x594),f23(x593,x592,x594))
% 3.80/3.86  [60]~E(x601,x602)+E(f23(x603,x604,x601),f23(x603,x604,x602))
% 3.80/3.86  [61]~E(x611,x612)+E(f10(x611,x613,x614),f10(x612,x613,x614))
% 3.80/3.86  [62]~E(x621,x622)+E(f10(x623,x621,x624),f10(x623,x622,x624))
% 3.80/3.86  [63]~E(x631,x632)+E(f10(x633,x634,x631),f10(x633,x634,x632))
% 3.80/3.86  [64]~E(x641,x642)+E(f15(x641,x643),f15(x642,x643))
% 3.80/3.86  [65]~E(x651,x652)+E(f15(x653,x651),f15(x653,x652))
% 3.80/3.86  [66]~E(x661,x662)+E(f58(x661,x663),f58(x662,x663))
% 3.80/3.86  [67]~E(x671,x672)+E(f58(x673,x671),f58(x673,x672))
% 3.80/3.86  [68]~E(x681,x682)+E(f22(x681,x683,x684),f22(x682,x683,x684))
% 3.80/3.86  [69]~E(x691,x692)+E(f22(x693,x691,x694),f22(x693,x692,x694))
% 3.80/3.86  [70]~E(x701,x702)+E(f22(x703,x704,x701),f22(x703,x704,x702))
% 3.80/3.86  [71]~E(x711,x712)+E(f25(x711,x713,x714),f25(x712,x713,x714))
% 3.80/3.86  [72]~E(x721,x722)+E(f25(x723,x721,x724),f25(x723,x722,x724))
% 3.80/3.86  [73]~E(x731,x732)+E(f25(x733,x734,x731),f25(x733,x734,x732))
% 3.80/3.86  [74]~E(x741,x742)+E(f30(x741,x743,x744,x745,x746),f30(x742,x743,x744,x745,x746))
% 3.80/3.86  [75]~E(x751,x752)+E(f30(x753,x751,x754,x755,x756),f30(x753,x752,x754,x755,x756))
% 3.80/3.86  [76]~E(x761,x762)+E(f30(x763,x764,x761,x765,x766),f30(x763,x764,x762,x765,x766))
% 3.80/3.86  [77]~E(x771,x772)+E(f30(x773,x774,x775,x771,x776),f30(x773,x774,x775,x772,x776))
% 3.80/3.86  [78]~E(x781,x782)+E(f30(x783,x784,x785,x786,x781),f30(x783,x784,x785,x786,x782))
% 3.80/3.86  [79]~E(x791,x792)+E(f43(x791,x793),f43(x792,x793))
% 3.80/3.86  [80]~E(x801,x802)+E(f43(x803,x801),f43(x803,x802))
% 3.80/3.86  [81]~E(x811,x812)+E(f47(x811,x813),f47(x812,x813))
% 3.80/3.86  [82]~E(x821,x822)+E(f47(x823,x821),f47(x823,x822))
% 3.80/3.86  [83]~E(x831,x832)+E(f29(x831,x833),f29(x832,x833))
% 3.80/3.86  [84]~E(x841,x842)+E(f29(x843,x841),f29(x843,x842))
% 3.80/3.86  [85]~E(x851,x852)+E(f31(x851,x853,x854,x855,x856),f31(x852,x853,x854,x855,x856))
% 3.80/3.86  [86]~E(x861,x862)+E(f31(x863,x861,x864,x865,x866),f31(x863,x862,x864,x865,x866))
% 3.80/3.86  [87]~E(x871,x872)+E(f31(x873,x874,x871,x875,x876),f31(x873,x874,x872,x875,x876))
% 3.80/3.86  [88]~E(x881,x882)+E(f31(x883,x884,x885,x881,x886),f31(x883,x884,x885,x882,x886))
% 3.80/3.86  [89]~E(x891,x892)+E(f31(x893,x894,x895,x896,x891),f31(x893,x894,x895,x896,x892))
% 3.80/3.86  [90]~E(x901,x902)+E(f41(x901,x903,x904,x905),f41(x902,x903,x904,x905))
% 3.80/3.86  [91]~E(x911,x912)+E(f41(x913,x911,x914,x915),f41(x913,x912,x914,x915))
% 3.80/3.86  [92]~E(x921,x922)+E(f41(x923,x924,x921,x925),f41(x923,x924,x922,x925))
% 3.80/3.86  [93]~E(x931,x932)+E(f41(x933,x934,x935,x931),f41(x933,x934,x935,x932))
% 3.80/3.86  [94]~E(x941,x942)+E(f49(x941,x943),f49(x942,x943))
% 3.80/3.86  [95]~E(x951,x952)+E(f49(x953,x951),f49(x953,x952))
% 3.80/3.86  [96]~E(x961,x962)+E(f28(x961,x963),f28(x962,x963))
% 3.80/3.86  [97]~E(x971,x972)+E(f28(x973,x971),f28(x973,x972))
% 3.80/3.86  [98]~E(x981,x982)+E(f12(x981,x983,x984,x985,x986),f12(x982,x983,x984,x985,x986))
% 3.80/3.86  [99]~E(x991,x992)+E(f12(x993,x991,x994,x995,x996),f12(x993,x992,x994,x995,x996))
% 3.80/3.86  [100]~E(x1001,x1002)+E(f12(x1003,x1004,x1001,x1005,x1006),f12(x1003,x1004,x1002,x1005,x1006))
% 3.80/3.86  [101]~E(x1011,x1012)+E(f12(x1013,x1014,x1015,x1011,x1016),f12(x1013,x1014,x1015,x1012,x1016))
% 3.80/3.86  [102]~E(x1021,x1022)+E(f12(x1023,x1024,x1025,x1026,x1021),f12(x1023,x1024,x1025,x1026,x1022))
% 3.80/3.86  [103]~E(x1031,x1032)+E(f33(x1031,x1033),f33(x1032,x1033))
% 3.80/3.86  [104]~E(x1041,x1042)+E(f33(x1043,x1041),f33(x1043,x1042))
% 3.80/3.86  [105]~E(x1051,x1052)+E(f35(x1051,x1053),f35(x1052,x1053))
% 3.80/3.86  [106]~E(x1061,x1062)+E(f35(x1063,x1061),f35(x1063,x1062))
% 3.80/3.86  [107]~E(x1071,x1072)+E(f42(x1071),f42(x1072))
% 3.80/3.86  [108]~E(x1081,x1082)+E(f34(x1081,x1083),f34(x1082,x1083))
% 3.80/3.86  [109]~E(x1091,x1092)+E(f34(x1093,x1091),f34(x1093,x1092))
% 3.80/3.86  [110]~E(x1101,x1102)+E(f32(x1101,x1103),f32(x1102,x1103))
% 3.80/3.86  [111]~E(x1111,x1112)+E(f32(x1113,x1111),f32(x1113,x1112))
% 3.80/3.86  [112]~E(x1121,x1122)+E(f19(x1121,x1123,x1124),f19(x1122,x1123,x1124))
% 3.80/3.86  [113]~E(x1131,x1132)+E(f19(x1133,x1131,x1134),f19(x1133,x1132,x1134))
% 3.80/3.86  [114]~E(x1141,x1142)+E(f19(x1143,x1144,x1141),f19(x1143,x1144,x1142))
% 3.80/3.86  [115]~P1(x1151)+P1(x1152)+~E(x1151,x1152)
% 3.80/3.86  [116]P12(x1162,x1163,x1164)+~E(x1161,x1162)+~P12(x1161,x1163,x1164)
% 3.80/3.86  [117]P12(x1173,x1172,x1174)+~E(x1171,x1172)+~P12(x1173,x1171,x1174)
% 3.80/3.86  [118]P12(x1183,x1184,x1182)+~E(x1181,x1182)+~P12(x1183,x1184,x1181)
% 3.80/3.86  [119]~P2(x1191)+P2(x1192)+~E(x1191,x1192)
% 3.80/3.86  [120]~P26(x1201)+P26(x1202)+~E(x1201,x1202)
% 3.80/3.86  [121]~P30(x1211)+P30(x1212)+~E(x1211,x1212)
% 3.80/3.86  [122]~P5(x1221)+P5(x1222)+~E(x1221,x1222)
% 3.80/3.86  [123]P16(x1232,x1233,x1234)+~E(x1231,x1232)+~P16(x1231,x1233,x1234)
% 3.80/3.86  [124]P16(x1243,x1242,x1244)+~E(x1241,x1242)+~P16(x1243,x1241,x1244)
% 3.80/3.86  [125]P16(x1253,x1254,x1252)+~E(x1251,x1252)+~P16(x1253,x1254,x1251)
% 3.80/3.86  [126]~P31(x1261)+P31(x1262)+~E(x1261,x1262)
% 3.80/3.86  [127]~P34(x1271)+P34(x1272)+~E(x1271,x1272)
% 3.80/3.86  [128]~P24(x1281)+P24(x1282)+~E(x1281,x1282)
% 3.80/3.86  [129]~P3(x1291)+P3(x1292)+~E(x1291,x1292)
% 3.80/3.86  [130]~P21(x1301)+P21(x1302)+~E(x1301,x1302)
% 3.80/3.86  [131]~P4(x1311)+P4(x1312)+~E(x1311,x1312)
% 3.80/3.86  [132]P11(x1322,x1323)+~E(x1321,x1322)+~P11(x1321,x1323)
% 3.80/3.86  [133]P11(x1333,x1332)+~E(x1331,x1332)+~P11(x1333,x1331)
% 3.80/3.86  [134]~P32(x1341)+P32(x1342)+~E(x1341,x1342)
% 3.80/3.86  [135]~P25(x1351)+P25(x1352)+~E(x1351,x1352)
% 3.80/3.86  [136]~P8(x1361)+P8(x1362)+~E(x1361,x1362)
% 3.80/3.86  [137]~P6(x1371)+P6(x1372)+~E(x1371,x1372)
% 3.80/3.86  [138]P14(x1382,x1383)+~E(x1381,x1382)+~P14(x1381,x1383)
% 3.80/3.86  [139]P14(x1393,x1392)+~E(x1391,x1392)+~P14(x1393,x1391)
% 3.80/3.86  [140]~P18(x1401)+P18(x1402)+~E(x1401,x1402)
% 3.80/3.86  [141]~P7(x1411)+P7(x1412)+~E(x1411,x1412)
% 3.80/3.86  [142]~P28(x1421)+P28(x1422)+~E(x1421,x1422)
% 3.80/3.86  [143]~P19(x1431)+P19(x1432)+~E(x1431,x1432)
% 3.80/3.86  [144]~P33(x1441)+P33(x1442)+~E(x1441,x1442)
% 3.80/3.86  [145]~P35(x1451)+P35(x1452)+~E(x1451,x1452)
% 3.80/3.86  [146]P13(x1462,x1463,x1464)+~E(x1461,x1462)+~P13(x1461,x1463,x1464)
% 3.80/3.86  [147]P13(x1473,x1472,x1474)+~E(x1471,x1472)+~P13(x1473,x1471,x1474)
% 3.80/3.86  [148]P13(x1483,x1484,x1482)+~E(x1481,x1482)+~P13(x1483,x1484,x1481)
% 3.80/3.86  [149]~P41(x1491)+P41(x1492)+~E(x1491,x1492)
% 3.80/3.86  [150]~P37(x1501)+P37(x1502)+~E(x1501,x1502)
% 3.80/3.86  [151]~P38(x1511)+P38(x1512)+~E(x1511,x1512)
% 3.80/3.86  [152]~P9(x1521)+P9(x1522)+~E(x1521,x1522)
% 3.80/3.86  [153]~P27(x1531)+P27(x1532)+~E(x1531,x1532)
% 3.80/3.86  [154]~P17(x1541)+P17(x1542)+~E(x1541,x1542)
% 3.80/3.86  [155]~P36(x1551)+P36(x1552)+~E(x1551,x1552)
% 3.80/3.86  [156]~P23(x1561)+P23(x1562)+~E(x1561,x1562)
% 3.80/3.86  [157]~P39(x1571)+P39(x1572)+~E(x1571,x1572)
% 3.80/3.86  [158]~P29(x1581)+P29(x1582)+~E(x1581,x1582)
% 3.80/3.86  [159]~P20(x1591)+P20(x1592)+~E(x1591,x1592)
% 3.80/3.86  [160]P10(x1602,x1603)+~E(x1601,x1602)+~P10(x1601,x1603)
% 3.80/3.86  [161]P10(x1613,x1612)+~E(x1611,x1612)+~P10(x1613,x1611)
% 3.80/3.86  [162]~P40(x1621)+P40(x1622)+~E(x1621,x1622)
% 3.80/3.86  [163]~P22(x1631)+P22(x1632)+~E(x1631,x1632)
% 3.80/3.86  [164]P15(x1642,x1643,x1644)+~E(x1641,x1642)+~P15(x1641,x1643,x1644)
% 3.80/3.86  [165]P15(x1653,x1652,x1654)+~E(x1651,x1652)+~P15(x1653,x1651,x1654)
% 3.80/3.86  [166]P15(x1663,x1664,x1662)+~E(x1661,x1662)+~P15(x1663,x1664,x1661)
% 3.80/3.86  
% 3.80/3.86  %-------------------------------------------
% 3.80/3.87  cnf(838,plain,
% 3.80/3.87     (E(f4(a1),f5(x8381,x8381,a1))),
% 3.80/3.87     inference(scs_inference,[],[239,2])).
% 3.80/3.87  cnf(839,plain,
% 3.80/3.87     (~P12(x8391,x8391,a45)),
% 3.80/3.87     inference(scs_inference,[],[175,239,2,487])).
% 3.80/3.87  cnf(841,plain,
% 3.80/3.87     (~P12(x8411,x8411,a2)),
% 3.80/3.87     inference(scs_inference,[],[173,175,239,2,487,486])).
% 3.80/3.87  cnf(843,plain,
% 3.80/3.87     (~P12(x8431,f5(x8431,x8432,a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[173,175,239,325,2,487,486,716])).
% 3.80/3.87  cnf(846,plain,
% 3.80/3.87     (P12(x8461,f8(f8(x8462,x8461,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[361])).
% 3.80/3.87  cnf(851,plain,
% 3.80/3.87     (~P12(f8(x8511,x8512,a1),x8512,a1)),
% 3.80/3.87     inference(rename_variables,[],[420])).
% 3.80/3.87  cnf(854,plain,
% 3.80/3.87     (~P12(f8(x8541,x8542,a1),x8542,a1)),
% 3.80/3.87     inference(rename_variables,[],[420])).
% 3.80/3.87  cnf(857,plain,
% 3.80/3.87     (~P12(f8(x8571,x8572,a1),x8572,a1)),
% 3.80/3.87     inference(rename_variables,[],[420])).
% 3.80/3.87  cnf(860,plain,
% 3.80/3.87     (~E(f14(x8601,x8602,x8603),x8602)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(862,plain,
% 3.80/3.87     (P12(f6(x8621,f8(f4(a1),f9(a1),a1),a1),f8(f4(a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[173,175,404,420,851,854,239,287,361,325,2,487,486,716,672,633,632,630,610,425,636])).
% 3.80/3.87  cnf(863,plain,
% 3.80/3.87     (P12(x8631,f8(x8631,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(865,plain,
% 3.80/3.87     (~E(f21(f14(x8651,f4(a1),x8652),x8653,x8654),f3(x8654))),
% 3.80/3.87     inference(scs_inference,[],[173,175,404,860,420,851,854,239,287,361,325,2,487,486,716,672,633,632,630,610,425,636,489])).
% 3.80/3.87  cnf(866,plain,
% 3.80/3.87     (~E(f14(x8661,x8662,x8663),x8662)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(869,plain,
% 3.80/3.87     (~E(f14(x8691,x8692,x8693),x8692)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(872,plain,
% 3.80/3.87     (P12(x8721,f8(f8(x8721,x8722,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[363])).
% 3.80/3.87  cnf(879,plain,
% 3.80/3.87     (~E(f8(x8791,f9(a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[415])).
% 3.80/3.87  cnf(881,plain,
% 3.80/3.87     (~P12(x8811,f5(f4(a1),x8812,a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[173,175,384,404,860,866,420,851,854,239,287,361,363,325,415,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635])).
% 3.80/3.87  cnf(883,plain,
% 3.80/3.87     (~E(f11(f14(x8831,f3(x8832),x8833),x8834,x8832),x8834)),
% 3.80/3.87     inference(scs_inference,[],[173,175,384,404,860,866,869,420,851,854,239,287,361,363,325,415,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484])).
% 3.80/3.87  cnf(884,plain,
% 3.80/3.87     (~E(f14(x8841,x8842,x8843),x8842)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(887,plain,
% 3.80/3.87     (~E(f14(x8871,x8872,x8873),x8872)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(890,plain,
% 3.80/3.87     (~P12(x8901,x8901,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(892,plain,
% 3.80/3.87     (~P12(f8(f5(x8921,x8922,a1),x8922,a1),x8921,a1)),
% 3.80/3.87     inference(scs_inference,[],[402,890,173,175,384,404,860,866,869,884,420,851,854,239,287,361,363,325,415,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755])).
% 3.80/3.87  cnf(893,plain,
% 3.80/3.87     (~P12(x8931,x8931,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(896,plain,
% 3.80/3.87     (~E(f14(x8961,x8962,x8963),x8962)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(899,plain,
% 3.80/3.87     (~E(f14(x8991,x8992,x8993),x8992)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(902,plain,
% 3.80/3.87     (~E(f14(x9021,x9022,x9023),x9022)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(905,plain,
% 3.80/3.87     (~E(f14(x9051,x9052,x9053),x9052)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(908,plain,
% 3.80/3.87     (~E(f14(x9081,x9082,x9083),x9082)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(911,plain,
% 3.80/3.87     (~E(f14(x9111,x9112,x9113),x9112)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(914,plain,
% 3.80/3.87     (~E(f14(x9141,x9142,x9143),x9142)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(917,plain,
% 3.80/3.87     (~E(f14(x9171,x9172,x9173),x9172)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(925,plain,
% 3.80/3.87     (~E(f14(x9251,x9252,x9253),x9252)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(928,plain,
% 3.80/3.87     (~E(f3(f8(x9281,x9282,a1)),f14(x9283,x9284,f8(x9281,x9282,a1)))),
% 3.80/3.87     inference(scs_inference,[],[402,890,173,175,384,226,404,860,866,869,884,887,896,899,902,905,908,911,914,917,419,420,851,854,270,239,287,361,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160])).
% 3.80/3.87  cnf(930,plain,
% 3.80/3.87     (E(f17(f17(x9301,x9302),x9302),x9301)),
% 3.80/3.87     inference(rename_variables,[],[238])).
% 3.80/3.87  cnf(935,plain,
% 3.80/3.87     (~P24(f17(f17(a1,x9351),x9351))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,173,175,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,419,420,851,854,270,239,238,930,287,361,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128])).
% 3.80/3.87  cnf(936,plain,
% 3.80/3.87     (E(f17(f17(x9361,x9362),x9362),x9361)),
% 3.80/3.87     inference(rename_variables,[],[238])).
% 3.80/3.87  cnf(938,plain,
% 3.80/3.87     (P12(x9381,f8(f8(x9382,x9381,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[361])).
% 3.80/3.87  cnf(939,plain,
% 3.80/3.87     (~E(x9391,f8(x9391,f9(a1),a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,173,175,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,419,420,851,854,270,239,238,930,287,863,361,846,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116])).
% 3.80/3.87  cnf(940,plain,
% 3.80/3.87     (~P12(x9401,x9401,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(942,plain,
% 3.80/3.87     (~E(f14(x9421,x9422,x9423),x9422)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(945,plain,
% 3.80/3.87     (P16(x9451,f8(x9451,f9(a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,169,171,173,175,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,419,420,851,854,270,239,238,930,287,863,361,846,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519])).
% 3.80/3.87  cnf(947,plain,
% 3.80/3.87     (P16(x9471,x9471,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,169,171,173,175,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,419,420,851,854,270,239,238,930,287,863,361,846,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517])).
% 3.80/3.87  cnf(950,plain,
% 3.80/3.87     (~P12(x9501,f4(a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[406])).
% 3.80/3.87  cnf(953,plain,
% 3.80/3.87     (~P12(x9531,f4(a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[406])).
% 3.80/3.87  cnf(956,plain,
% 3.80/3.87     (P12(x9561,f8(x9561,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(959,plain,
% 3.80/3.87     (P12(x9591,f8(x9591,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(960,plain,
% 3.80/3.87     (~P12(x9601,x9601,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(962,plain,
% 3.80/3.87     (~P12(x9621,f38(x9621,x9622,a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,169,171,173,175,406,950,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,419,420,851,854,270,239,238,930,287,863,956,361,846,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644])).
% 3.80/3.87  cnf(963,plain,
% 3.80/3.87     (~P12(x9631,x9631,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(965,plain,
% 3.80/3.87     (~P12(x9651,f38(x9652,x9651,a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,406,950,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,419,420,851,854,270,239,238,930,287,863,956,361,846,363,325,415,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642])).
% 3.80/3.87  cnf(966,plain,
% 3.80/3.87     (~P12(x9661,x9661,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(969,plain,
% 3.80/3.87     (~E(f14(x9691,x9692,x9693),x9692)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(972,plain,
% 3.80/3.87     (E(f8(x9721,x9722,a1),f8(x9722,x9721,a1))),
% 3.80/3.87     inference(rename_variables,[],[270])).
% 3.80/3.87  cnf(979,plain,
% 3.80/3.87     (P16(f4(a1),x9791,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,406,950,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,419,420,851,854,270,239,238,930,287,863,956,959,361,846,363,325,246,415,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544])).
% 3.80/3.87  cnf(981,plain,
% 3.80/3.87     (~P19(a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,406,950,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,419,420,851,854,270,239,238,930,287,863,956,959,361,846,363,325,283,246,415,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499])).
% 3.80/3.87  cnf(982,plain,
% 3.80/3.87     (E(f5(x9821,f8(x9821,x9822,a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[283])).
% 3.80/3.87  cnf(985,plain,
% 3.80/3.87     (~E(f14(x9851,x9852,x9853),x9852)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(987,plain,
% 3.80/3.87     (P12(x9871,f8(x9872,f8(f8(x9871,f9(a1),a1),x9873,a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,182,406,950,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,419,420,851,854,411,270,239,238,930,287,863,956,959,361,846,363,325,283,246,415,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779])).
% 3.80/3.87  cnf(992,plain,
% 3.80/3.87     (~P12(x9921,f4(a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[406])).
% 3.80/3.87  cnf(995,plain,
% 3.80/3.87     (~E(f14(x9951,x9952,x9953),x9952)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(997,plain,
% 3.80/3.87     (~P12(f4(a2),f8(f4(a2),f4(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,181,182,207,406,950,953,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,419,420,851,854,411,270,239,238,930,287,863,956,959,361,846,363,325,283,246,415,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713])).
% 3.80/3.87  cnf(999,plain,
% 3.80/3.87     (~P12(f8(f4(a2),f4(a2),a2),f4(a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,169,171,173,175,181,182,186,207,406,950,953,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,419,420,851,854,411,270,239,238,930,287,863,956,959,361,846,363,325,283,246,415,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711])).
% 3.80/3.87  cnf(1008,plain,
% 3.80/3.87     (~E(f14(x10081,x10082,x10083),x10082)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1011,plain,
% 3.80/3.87     (~E(f14(x10111,x10112,x10113),x10112)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1014,plain,
% 3.80/3.87     (~E(f14(x10141,x10142,x10143),x10142)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1017,plain,
% 3.80/3.87     (~E(f14(x10171,x10172,x10173),f3(x10173))),
% 3.80/3.87     inference(rename_variables,[],[411])).
% 3.80/3.87  cnf(1020,plain,
% 3.80/3.87     (~E(f14(x10201,x10202,x10203),f3(x10203))),
% 3.80/3.87     inference(rename_variables,[],[411])).
% 3.80/3.87  cnf(1021,plain,
% 3.80/3.87     (~E(f14(x10211,x10212,x10213),x10212)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1024,plain,
% 3.80/3.87     (P12(x10241,f8(f8(x10242,x10241,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[361])).
% 3.80/3.87  cnf(1029,plain,
% 3.80/3.87     (P12(x10291,f8(f8(x10291,x10292,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[363])).
% 3.80/3.87  cnf(1032,plain,
% 3.80/3.87     (P12(x10321,f8(f8(x10321,x10322,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[363])).
% 3.80/3.87  cnf(1037,plain,
% 3.80/3.87     (P12(f5(x10371,x10372,a1),f8(x10371,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[325])).
% 3.80/3.87  cnf(1038,plain,
% 3.80/3.87     (~P12(x10381,x10381,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(1041,plain,
% 3.80/3.87     (~E(f14(x10411,x10412,x10413),x10412)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1042,plain,
% 3.80/3.87     (~P12(x10421,f4(a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[406])).
% 3.80/3.87  cnf(1045,plain,
% 3.80/3.87     (~P12(x10451,f4(a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[406])).
% 3.80/3.87  cnf(1048,plain,
% 3.80/3.87     (P12(x10481,f8(x10481,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1049,plain,
% 3.80/3.87     (P12(x10491,f8(f8(x10492,x10491,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[361])).
% 3.80/3.87  cnf(1052,plain,
% 3.80/3.87     (~E(f14(x10521,x10522,x10523),x10522)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1055,plain,
% 3.80/3.87     (P12(x10551,f8(x10551,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1058,plain,
% 3.80/3.87     (P12(x10581,f8(x10581,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1061,plain,
% 3.80/3.87     (~P12(f8(x10611,x10612,a1),x10612,a1)),
% 3.80/3.87     inference(rename_variables,[],[420])).
% 3.80/3.87  cnf(1066,plain,
% 3.80/3.87     (~P12(f8(f8(f8(f4(a1),f9(a1),a1),f8(f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),x10661,a1),a1),x10662,a1),x10661,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,179,181,182,186,190,191,207,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,419,420,851,854,857,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765])).
% 3.80/3.87  cnf(1067,plain,
% 3.80/3.87     (P12(x10671,f8(x10671,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1071,plain,
% 3.80/3.87     (~P16(f9(a1),f4(a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,186,190,191,207,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,419,420,851,854,857,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749])).
% 3.80/3.87  cnf(1075,plain,
% 3.80/3.87     (~P16(f8(f8(f8(f4(a1),f9(a1),a1),x10751,a1),f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1),x10751,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,207,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,419,420,851,854,857,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730])).
% 3.80/3.87  cnf(1077,plain,
% 3.80/3.87     (~P16(f8(x10771,f8(f8(f4(a1),f9(a1),a1),x10772,a1),a1),x10772,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,207,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729])).
% 3.80/3.87  cnf(1079,plain,
% 3.80/3.87     (P12(x10791,f8(x10791,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1084,plain,
% 3.80/3.87     (~E(f14(x10841,x10842,x10843),x10842)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1088,plain,
% 3.80/3.87     (P16(x10881,x10881,a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,200,207,208,210,212,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442])).
% 3.80/3.87  cnf(1091,plain,
% 3.80/3.87     (~E(f14(x10911,x10912,x10913),x10912)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1094,plain,
% 3.80/3.87     (~E(f14(x10941,x10942,x10943),x10942)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1096,plain,
% 3.80/3.87     (~P11(f14(a51,f14(a52,f14(x10961,f3(a40),a40),a40),a40),a40)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,200,207,208,210,212,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820])).
% 3.80/3.87  cnf(1097,plain,
% 3.80/3.87     (P16(f38(x10971,x10972,a1),x10971,a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,200,207,208,210,212,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560])).
% 3.80/3.87  cnf(1113,plain,
% 3.80/3.87     (P14(f3(a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424])).
% 3.80/3.87  cnf(1116,plain,
% 3.80/3.87     (P12(x11161,f8(x11161,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1118,plain,
% 3.80/3.87     (P12(f5(f8(f4(a1),f9(a1),a1),f8(x11181,f9(a1),a1),a1),f8(f4(a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774])).
% 3.80/3.87  cnf(1119,plain,
% 3.80/3.87     (P12(x11191,f8(x11191,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1122,plain,
% 3.80/3.87     (P12(x11221,f8(x11221,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1125,plain,
% 3.80/3.87     (~E(f14(x11251,x11252,x11253),x11252)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1128,plain,
% 3.80/3.87     (~E(f14(x11281,x11282,x11283),x11282)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1130,plain,
% 3.80/3.87     (~E(f8(f14(x11301,f4(a1),x11302),x11303,a1),f4(a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,419,420,851,854,857,1061,421,411,1017,270,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480])).
% 3.80/3.87  cnf(1131,plain,
% 3.80/3.87     (~E(f14(x11311,x11312,x11313),x11312)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1134,plain,
% 3.80/3.87     (~E(f14(x11341,x11342,x11343),x11342)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1226,plain,
% 3.80/3.87     (E(f6(x12261,f8(x12262,x12263,a1),x12264),f6(x12261,f8(x12263,x12262,a1),x12264))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24])).
% 3.80/3.87  cnf(1227,plain,
% 3.80/3.87     (E(f6(f8(x12271,x12272,a1),x12273,x12274),f6(f8(x12272,x12271,a1),x12273,x12274))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23])).
% 3.80/3.87  cnf(1257,plain,
% 3.80/3.87     (~P11(f25(x12571,f14(a51,f14(a52,f14(x12572,f3(a40),a40),a40),a40),a40),a40)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602])).
% 3.80/3.87  cnf(1263,plain,
% 3.80/3.87     (P12(x12631,f8(x12631,f9(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,168,169,171,173,174,175,177,179,181,182,184,186,190,191,195,200,202,207,208,210,212,214,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588])).
% 3.80/3.87  cnf(1289,plain,
% 3.80/3.87     (P14(f14(x12891,f3(a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,168,169,171,173,174,175,177,179,181,182,184,186,190,191,192,195,200,202,207,208,210,212,214,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535])).
% 3.80/3.87  cnf(1297,plain,
% 3.80/3.87     (~P16(f9(a2),f4(a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,168,169,171,173,174,175,177,179,181,182,184,186,190,191,192,195,200,202,207,208,210,212,214,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507])).
% 3.80/3.87  cnf(1338,plain,
% 3.80/3.87     (~E(f14(x13381,x13382,x13383),x13382)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1340,plain,
% 3.80/3.87     (E(f8(f8(f5(f14(x13401,f4(a1),x13402),f9(a1),a1),x13403,a1),f9(a1),a1),f8(f14(x13401,f4(a1),x13402),x13403,a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,167,168,169,171,173,174,175,177,179,181,182,184,186,190,191,192,193,195,196,200,202,207,208,210,212,214,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762])).
% 3.80/3.87  cnf(1341,plain,
% 3.80/3.87     (~E(f14(x13411,x13412,x13413),x13412)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1344,plain,
% 3.80/3.87     (~E(f14(x13441,x13442,x13443),x13442)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1349,plain,
% 3.80/3.87     (~E(f14(x13491,x13492,x13493),x13492)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1368,plain,
% 3.80/3.87     (~E(f14(x13681,x13682,x13683),x13682)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1371,plain,
% 3.80/3.87     (~E(f14(x13711,x13712,x13713),x13712)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1393,plain,
% 3.80/3.87     (P12(f4(a2),f8(f9(a2),f9(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,171,173,174,175,177,179,181,182,184,186,190,191,192,193,194,195,196,200,202,207,208,210,212,214,218,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597])).
% 3.80/3.87  cnf(1412,plain,
% 3.80/3.87     (~E(f14(x14121,x14122,x14123),x14122)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1421,plain,
% 3.80/3.87     (~E(f8(x14211,f9(a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[415])).
% 3.80/3.87  cnf(1424,plain,
% 3.80/3.87     (~E(f14(x14241,x14242,x14243),x14242)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1427,plain,
% 3.80/3.87     (~E(f14(x14271,x14272,x14273),x14272)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1430,plain,
% 3.80/3.87     (~E(f14(x14301,x14302,x14303),x14302)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1433,plain,
% 3.80/3.87     (~E(f14(x14331,x14332,x14333),x14332)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1435,plain,
% 3.80/3.87     (E(f14(f34(f14(x14351,f3(x14352),x14353),x14352),f35(f14(x14351,f3(x14352),x14353),x14352),x14352),f14(x14351,f3(x14352),x14353))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,171,173,174,175,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,419,420,851,854,857,1061,421,411,1017,270,972,239,238,930,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510])).
% 3.80/3.87  cnf(1436,plain,
% 3.80/3.87     (~E(f14(x14361,x14362,x14363),x14362)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1439,plain,
% 3.80/3.87     (~E(f14(x14391,x14392,x14393),x14392)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1442,plain,
% 3.80/3.87     (~E(f14(x14421,x14422,x14423),x14422)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1445,plain,
% 3.80/3.87     (~E(f14(x14451,x14452,x14453),x14452)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1448,plain,
% 3.80/3.87     (~E(f14(x14481,x14482,x14483),x14482)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1451,plain,
% 3.80/3.87     (~E(f14(x14511,x14512,x14513),x14512)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1458,plain,
% 3.80/3.87     (~E(f14(x14581,x14582,x14583),x14582)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1463,plain,
% 3.80/3.87     (~E(f14(x14631,x14632,x14633),x14632)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1466,plain,
% 3.80/3.87     (~E(f14(x14661,x14662,x14663),x14662)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1486,plain,
% 3.80/3.87     (~P11(f17(f17(f14(a51,f14(a52,f14(x14861,f3(a40),a40),a40),a40),x14862),x14862),a40)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,171,173,174,175,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132])).
% 3.80/3.87  cnf(1488,plain,
% 3.80/3.87     (~P16(f8(f4(a1),f9(a1),a1),f5(x14881,x14881,a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,171,173,174,175,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,325,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124])).
% 3.80/3.87  cnf(1499,plain,
% 3.80/3.87     (P16(x14991,f8(x14991,f9(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,363,872,1029,1032,325,1037,283,982,246,415,879,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541])).
% 3.80/3.87  cnf(1506,plain,
% 3.80/3.87     (~E(f14(x15061,x15062,x15063),x15062)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1512,plain,
% 3.80/3.87     (~P12(f4(a2),f38(f4(a2),x15121,a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684])).
% 3.80/3.87  cnf(1521,plain,
% 3.80/3.87     (~E(f8(x15211,f9(a1),a1),x15211)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(1522,plain,
% 3.80/3.87     (~E(f8(x15221,f9(a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[415])).
% 3.80/3.87  cnf(1524,plain,
% 3.80/3.87     (~E(f8(x15241,f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1),f8(f4(a1),f9(a1),a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625])).
% 3.80/3.87  cnf(1525,plain,
% 3.80/3.87     (~E(f8(x15251,f9(a1),a1),x15251)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(1526,plain,
% 3.80/3.87     (~E(f8(x15261,f9(a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[415])).
% 3.80/3.87  cnf(1537,plain,
% 3.80/3.87     (~E(f14(x15371,x15372,x15373),x15372)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1539,plain,
% 3.80/3.87     (~E(f8(f4(a1),f9(a1),a1),f8(f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),x15391,a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628])).
% 3.80/3.87  cnf(1540,plain,
% 3.80/3.87     (~E(f8(x15401,f9(a1),a1),x15401)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(1541,plain,
% 3.80/3.87     (~E(f8(x15411,f9(a1),a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[415])).
% 3.80/3.87  cnf(1543,plain,
% 3.80/3.87     (~E(f8(f4(a1),f9(a1),a1),f8(x15431,f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627])).
% 3.80/3.87  cnf(1547,plain,
% 3.80/3.87     (~E(f5(a52,a51,a2),f5(x15471,x15471,a2))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587])).
% 3.80/3.87  cnf(1562,plain,
% 3.80/3.87     (~E(f14(x15621,x15622,x15623),x15622)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1564,plain,
% 3.80/3.87     (~E(a1,x15641)+P12(f5(f8(f8(f8(x15642,x15643,a1),f9(a1),a1),f9(a1),a1),f8(f8(f8(x15642,x15643,a1),f9(a1),a1),f9(a1),a1),a1),f5(f8(f8(f8(x15642,x15643,a1),f9(a1),a1),f9(a1),a1),f8(f8(x15642,x15643,a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761])).
% 3.80/3.87  cnf(1566,plain,
% 3.80/3.87     (~E(a1,x15661)+~P14(f14(f8(f4(a1),f9(a1),a1),f14(f4(a1),x15662,a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,181,182,184,186,187,190,191,192,193,194,195,196,200,202,204,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800])).
% 3.80/3.87  cnf(1582,plain,
% 3.80/3.87     (~E(a1,x15821)+~P16(f5(f9(a2),f4(a2),a2),f4(a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696])).
% 3.80/3.87  cnf(1592,plain,
% 3.80/3.87     (~E(a1,x15921)+P16(f4(a2),f44(f4(a2),x15922,a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660])).
% 3.80/3.87  cnf(1598,plain,
% 3.80/3.87     (~E(a1,x15981)+P16(f8(f4(a2),f4(a2),a2),f4(a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664])).
% 3.80/3.87  cnf(1600,plain,
% 3.80/3.87     (~E(a1,x16001)+P16(f4(a2),f8(f4(a2),f4(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661])).
% 3.80/3.87  cnf(1606,plain,
% 3.80/3.87     (~E(a1,x16061)+E(f14(x16062,f31(x16062,f11(f3(x16063),x16064,x16063),f14(x16062,f3(x16063),x16063),x16064,x16063),x16063),f14(x16062,f3(x16063),x16063))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831])).
% 3.80/3.87  cnf(1607,plain,
% 3.80/3.87     (~E(f14(x16071,x16072,x16073),x16072)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1608,plain,
% 3.80/3.87     (E(f14(x16081,f11(x16082,x16083,x16084),x16084),f11(f14(x16081,x16082,x16084),x16083,x16084))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1611,plain,
% 3.80/3.87     (~E(f14(x16111,x16112,x16113),x16112)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1612,plain,
% 3.80/3.87     (E(f14(x16121,f11(x16122,x16123,x16124),x16124),f11(f14(x16121,x16122,x16124),x16123,x16124))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1615,plain,
% 3.80/3.87     (~E(f14(x16151,x16152,x16153),x16152)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1616,plain,
% 3.80/3.87     (E(f14(x16161,f11(x16162,x16163,x16164),x16164),f11(f14(x16161,x16162,x16164),x16163,x16164))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1618,plain,
% 3.80/3.87     (~E(a1,x16181)+E(f11(f31(x16182,f11(x16183,f3(x16184),x16184),f14(x16182,x16183,x16184),f3(x16184),x16184),f3(x16184),x16184),f11(x16183,f3(x16184),x16184))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,1607,1611,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,1608,1612,1616,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831,830,829,835])).
% 3.80/3.87  cnf(1620,plain,
% 3.80/3.87     (E(f14(x16201,f11(x16202,x16203,x16204),x16204),f11(f14(x16201,x16202,x16204),x16203,x16204))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1622,plain,
% 3.80/3.87     (~E(a1,x16221)+E(f11(f30(a51,f11(x16222,f14(a52,x16223,x16224),x16224),f14(a51,x16222,x16224),f14(a52,x16223,x16224),x16224),f14(a52,x16223,x16224),x16224),f11(x16222,f14(a52,x16223,x16224),x16224))),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,1607,1611,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,1608,1612,1616,1620,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831,830,829,835,834])).
% 3.80/3.87  cnf(1636,plain,
% 3.80/3.87     (~E(a1,x16361)+P12(f8(f8(x16362,f9(a1),a1),f9(a1),a1),f38(f8(f8(f8(x16362,f9(a1),a1),f9(a1),a1),f9(a1),a1),f8(f8(f8(x16362,f9(a1),a1),f9(a1),a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,1607,1611,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,1608,1612,1616,1620,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831,830,829,835,834,599,523,751,750,720,717])).
% 3.80/3.87  cnf(1649,plain,
% 3.80/3.87     (~E(a1,x16491)+P16(f8(f4(a1),f4(a1),a1),f8(f8(f4(a1),f9(a1),a1),f8(f4(a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,219,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,1607,1611,1615,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,1608,1612,1616,1620,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831,830,829,835,834,599,523,751,750,720,717,441,476,770,665,783,768])).
% 3.80/3.87  cnf(1661,plain,
% 3.80/3.87     (~E(a1,x16611)+P16(f4(a2),f8(f9(a2),f9(a2),a2),a2)),
% 3.80/3.87     inference(scs_inference,[],[400,402,890,893,940,960,963,966,1038,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,186,187,190,191,192,193,194,195,196,198,200,202,204,205,207,208,210,212,214,218,219,220,223,225,399,406,950,953,992,1042,1045,384,284,417,226,227,404,860,866,869,884,887,896,899,902,905,908,911,914,917,925,942,969,985,995,1008,1011,1014,1021,1041,1052,1084,1091,1094,1125,1128,1131,1134,1338,1341,1344,1349,1368,1371,1412,1424,1427,1430,1433,1436,1439,1442,1445,1448,1451,1458,1463,1466,1506,1537,1562,1607,1611,1615,419,420,851,854,857,1061,421,411,1017,1020,270,972,239,238,930,936,251,287,863,956,959,1048,1055,1058,1067,1079,1116,1119,1122,281,408,1521,1525,1540,361,846,938,1024,1049,363,872,1029,1032,325,1037,290,283,982,246,415,879,1421,1522,1526,1541,351,1608,1612,1616,1620,418,333,375,2,487,486,716,672,633,632,630,610,425,636,489,478,776,722,603,561,635,484,483,756,755,753,495,494,493,430,429,428,574,573,752,677,161,160,149,148,147,146,133,128,117,116,3,581,519,517,505,680,715,741,644,642,570,670,760,674,544,499,497,779,778,651,500,713,711,710,569,501,802,832,836,833,622,621,620,619,618,617,552,546,732,502,797,725,767,766,765,771,749,731,730,729,728,529,443,442,440,655,820,560,559,452,451,444,433,432,431,424,775,774,650,527,526,480,479,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,794,793,773,721,638,602,601,600,588,568,567,566,565,564,562,558,557,539,538,537,536,535,531,514,513,507,506,473,472,470,469,463,462,461,457,456,455,450,449,446,445,437,435,434,423,791,762,697,676,667,615,614,613,612,605,467,466,465,436,496,827,815,814,708,707,706,701,700,694,693,597,530,789,788,787,785,764,763,654,813,812,811,790,777,563,534,533,532,510,509,508,439,438,604,525,666,757,817,808,656,810,807,826,825,824,823,822,818,163,143,132,125,124,123,118,582,580,577,575,541,709,682,593,688,686,684,683,648,646,626,625,555,554,553,464,594,628,627,587,586,585,584,583,543,498,671,761,800,781,780,740,738,736,735,734,696,695,652,596,782,660,659,657,664,661,658,754,831,830,829,835,834,599,523,751,750,720,717,441,476,770,665,783,768,692,691,690,689,821,745])).
% 3.80/3.87  cnf(1727,plain,
% 3.80/3.87     (P12(f5(f8(f8(f8(x17271,x17272,a1),f9(a1),a1),f9(a1),a1),f8(f8(f8(x17271,x17272,a1),f9(a1),a1),f9(a1),a1),a1),f5(f8(f8(f8(x17271,x17272,a1),f9(a1),a1),f9(a1),a1),f8(f8(x17271,x17272,a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(equality_inference,[],[1564])).
% 3.80/3.87  cnf(1728,plain,
% 3.80/3.87     (~P14(f14(f8(f4(a1),f9(a1),a1),f14(f4(a1),x17281,a1),a1),a1)),
% 3.80/3.87     inference(equality_inference,[],[1566])).
% 3.80/3.87  cnf(1736,plain,
% 3.80/3.87     (~P16(f5(f9(a2),f4(a2),a2),f4(a2),a2)),
% 3.80/3.87     inference(equality_inference,[],[1582])).
% 3.80/3.87  cnf(1741,plain,
% 3.80/3.87     (P16(f4(a2),f44(f4(a2),x17411,a2),a2)),
% 3.80/3.87     inference(equality_inference,[],[1592])).
% 3.80/3.87  cnf(1744,plain,
% 3.80/3.87     (P16(f8(f4(a2),f4(a2),a2),f4(a2),a2)),
% 3.80/3.87     inference(equality_inference,[],[1598])).
% 3.80/3.87  cnf(1745,plain,
% 3.80/3.87     (P16(f4(a2),f8(f4(a2),f4(a2),a2),a2)),
% 3.80/3.87     inference(equality_inference,[],[1600])).
% 3.80/3.87  cnf(1747,plain,
% 3.80/3.87     (E(f14(x17471,f31(x17471,f11(f3(x17472),x17473,x17472),f14(x17471,f3(x17472),x17472),x17473,x17472),x17472),f14(x17471,f3(x17472),x17472))),
% 3.80/3.87     inference(equality_inference,[],[1606])).
% 3.80/3.87  cnf(1750,plain,
% 3.80/3.87     (E(f11(f31(x17501,f11(x17502,f3(x17503),x17503),f14(x17501,x17502,x17503),f3(x17503),x17503),f3(x17503),x17503),f11(x17502,f3(x17503),x17503))),
% 3.80/3.87     inference(equality_inference,[],[1618])).
% 3.80/3.87  cnf(1751,plain,
% 3.80/3.87     (E(f11(f30(a51,f11(x17511,f14(a52,x17512,x17513),x17513),f14(a51,x17511,x17513),f14(a52,x17512,x17513),x17513),f14(a52,x17512,x17513),x17513),f11(x17511,f14(a52,x17512,x17513),x17513))),
% 3.80/3.87     inference(equality_inference,[],[1622])).
% 3.80/3.87  cnf(1757,plain,
% 3.80/3.87     (P12(f8(f8(x17571,f9(a1),a1),f9(a1),a1),f38(f8(f8(f8(x17571,f9(a1),a1),f9(a1),a1),f9(a1),a1),f8(f8(f8(x17571,f9(a1),a1),f9(a1),a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(equality_inference,[],[1636])).
% 3.80/3.87  cnf(1761,plain,
% 3.80/3.87     (P16(f8(f4(a1),f4(a1),a1),f8(f8(f4(a1),f9(a1),a1),f8(f4(a1),f9(a1),a1),a1),a1)),
% 3.80/3.87     inference(equality_inference,[],[1649])).
% 3.80/3.87  cnf(1763,plain,
% 3.80/3.87     (P16(f4(a2),f8(f9(a2),f9(a2),a2),a2)),
% 3.80/3.87     inference(equality_inference,[],[1661])).
% 3.80/3.87  cnf(1800,plain,
% 3.80/3.87     (P16(x18001,x18001,a1)),
% 3.80/3.87     inference(rename_variables,[],[947])).
% 3.80/3.87  cnf(1801,plain,
% 3.80/3.87     (~E(x18011,f8(x18011,f9(a1),a1))),
% 3.80/3.87     inference(rename_variables,[],[939])).
% 3.80/3.87  cnf(1802,plain,
% 3.80/3.87     (P16(x18021,f8(x18021,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[945])).
% 3.80/3.87  cnf(1806,plain,
% 3.80/3.87     (~E(f8(x18061,f9(a1),a1),x18061)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(1809,plain,
% 3.80/3.87     (P16(x18091,x18091,a1)),
% 3.80/3.87     inference(rename_variables,[],[947])).
% 3.80/3.87  cnf(1819,plain,
% 3.80/3.87     (P12(x18191,f8(x18191,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(1824,plain,
% 3.80/3.87     (~P12(x18241,x18241,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(1836,plain,
% 3.80/3.87     (~E(f8(f14(x18361,f4(a1),x18362),x18363,a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[1130])).
% 3.80/3.87  cnf(1837,plain,
% 3.80/3.87     (~E(f8(x18371,f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1),f8(f4(a1),f9(a1),a1))),
% 3.80/3.87     inference(rename_variables,[],[1524])).
% 3.80/3.87  cnf(1869,plain,
% 3.80/3.87     (~E(f14(x18691,x18692,x18693),x18692)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1870,plain,
% 3.80/3.87     (E(f14(x18701,f11(x18702,x18703,x18704),x18704),f11(f14(x18701,x18702,x18704),x18703,x18704))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1873,plain,
% 3.80/3.87     (E(f14(x18731,f11(f21(x18732,x18731,x18733),x18734,x18733),x18733),f11(f21(x18732,x18731,x18733),f14(x18731,x18734,x18733),x18733))),
% 3.80/3.87     inference(rename_variables,[],[382])).
% 3.80/3.87  cnf(1876,plain,
% 3.80/3.87     (E(f14(x18761,f11(f21(x18762,x18761,x18763),x18764,x18763),x18763),f11(f21(x18762,x18761,x18763),f14(x18761,x18764,x18763),x18763))),
% 3.80/3.87     inference(rename_variables,[],[382])).
% 3.80/3.87  cnf(1882,plain,
% 3.80/3.87     (E(f14(x18821,f11(x18822,x18823,x18824),x18824),f11(f14(x18821,x18822,x18824),x18823,x18824))),
% 3.80/3.87     inference(rename_variables,[],[351])).
% 3.80/3.87  cnf(1886,plain,
% 3.80/3.87     (~E(f8(x18861,f9(a1),a1),x18861)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(1887,plain,
% 3.80/3.87     (~E(f14(x18871,x18872,x18873),f3(x18873))),
% 3.80/3.87     inference(rename_variables,[],[411])).
% 3.80/3.87  cnf(1895,plain,
% 3.80/3.87     (P16(f4(a1),x18951,a1)),
% 3.80/3.87     inference(rename_variables,[],[979])).
% 3.80/3.87  cnf(1908,plain,
% 3.80/3.87     (P16(x19081,x19081,a1)),
% 3.80/3.87     inference(rename_variables,[],[947])).
% 3.80/3.87  cnf(1931,plain,
% 3.80/3.87     (~E(f14(x19311,x19312,x19313),x19312)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(1950,plain,
% 3.80/3.87     (P12(x19501,f8(x19501,f9(a2),a2),a2)),
% 3.80/3.87     inference(rename_variables,[],[1263])).
% 3.80/3.87  cnf(1959,plain,
% 3.80/3.87     (P12(x19591,f8(x19592,f8(f8(x19591,f9(a1),a1),x19593,a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[987])).
% 3.80/3.87  cnf(2000,plain,
% 3.80/3.87     (E(f27(x20001,f3(x20002),x20002),x20001)),
% 3.80/3.87     inference(rename_variables,[],[252])).
% 3.80/3.87  cnf(2001,plain,
% 3.80/3.87     (P16(x20011,x20011,a1)),
% 3.80/3.87     inference(rename_variables,[],[947])).
% 3.80/3.87  cnf(2003,plain,
% 3.80/3.87     (P16(x20031,x20031,a1)),
% 3.80/3.87     inference(rename_variables,[],[947])).
% 3.80/3.87  cnf(2007,plain,
% 3.80/3.87     (P12(x20071,f8(f8(x20072,x20071,a1),f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[361])).
% 3.80/3.87  cnf(2020,plain,
% 3.80/3.87     (~E(f8(f14(x20201,f4(a1),x20202),x20203,a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[1130])).
% 3.80/3.87  cnf(2021,plain,
% 3.80/3.87     (~E(f8(x20211,f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1),f8(f4(a1),f9(a1),a1))),
% 3.80/3.87     inference(rename_variables,[],[1524])).
% 3.80/3.87  cnf(2028,plain,
% 3.80/3.87     (~E(f8(x20281,f9(a1),a1),x20281)),
% 3.80/3.87     inference(rename_variables,[],[408])).
% 3.80/3.87  cnf(2031,plain,
% 3.80/3.87     (~E(f14(x20311,x20312,x20313),x20312)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(2058,plain,
% 3.80/3.87     (~P12(x20581,f5(x20581,x20582,a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[843])).
% 3.80/3.87  cnf(2059,plain,
% 3.80/3.87     (P16(f4(a1),x20591,a1)),
% 3.80/3.87     inference(rename_variables,[],[979])).
% 3.80/3.87  cnf(2079,plain,
% 3.80/3.87     (E(f6(f8(x20791,x20792,a1),x20793,x20794),f6(f8(x20792,x20791,a1),x20793,x20794))),
% 3.80/3.87     inference(rename_variables,[],[1227])).
% 3.80/3.87  cnf(2080,plain,
% 3.80/3.87     (E(f6(x20801,f8(x20802,x20803,a1),x20804),f6(x20801,f8(x20803,x20802,a1),x20804))),
% 3.80/3.87     inference(rename_variables,[],[1226])).
% 3.80/3.87  cnf(2095,plain,
% 3.80/3.87     (~E(f8(f14(x20951,f4(a1),x20952),x20953,a1),f4(a1))),
% 3.80/3.87     inference(rename_variables,[],[1130])).
% 3.80/3.87  cnf(2096,plain,
% 3.80/3.87     (~E(f8(x20961,f8(f8(f4(a1),f9(a1),a1),f9(a1),a1),a1),f8(f4(a1),f9(a1),a1))),
% 3.80/3.87     inference(rename_variables,[],[1524])).
% 3.80/3.87  cnf(2107,plain,
% 3.80/3.87     (~E(f14(x21071,x21072,x21073),x21072)),
% 3.80/3.87     inference(rename_variables,[],[404])).
% 3.80/3.87  cnf(2110,plain,
% 3.80/3.87     (P16(f4(a1),x21101,a1)),
% 3.80/3.87     inference(rename_variables,[],[979])).
% 3.80/3.87  cnf(2119,plain,
% 3.80/3.87     (~P12(x21191,x21191,a2)),
% 3.80/3.87     inference(rename_variables,[],[841])).
% 3.80/3.87  cnf(2122,plain,
% 3.80/3.87     (P16(x21221,f8(x21221,f9(a2),a2),a2)),
% 3.80/3.87     inference(rename_variables,[],[1499])).
% 3.80/3.87  cnf(2125,plain,
% 3.80/3.87     (P12(x21251,f8(x21251,f9(a1),a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[287])).
% 3.80/3.87  cnf(2148,plain,
% 3.80/3.87     (~P12(x21481,f5(f4(a1),x21482,a1),a1)),
% 3.80/3.87     inference(rename_variables,[],[881])).
% 3.80/3.87  cnf(2151,plain,
% 3.80/3.87     (~P12(x21511,x21511,a1)),
% 3.80/3.87     inference(rename_variables,[],[402])).
% 3.80/3.87  cnf(2169,plain,
% 3.80/3.87     ($false),
% 3.80/3.87     inference(scs_inference,[],[838,839,841,2119,185,197,199,201,206,209,211,213,252,2000,260,247,297,382,1873,1876,221,222,402,1824,2151,219,406,404,1869,1931,2031,2107,420,421,287,1819,2125,408,1806,1886,2028,361,2007,363,351,1870,1882,176,180,186,418,183,290,190,417,173,191,192,411,1887,177,184,204,178,170,179,193,181,174,168,187,171,167,182,169,1747,1750,1435,883,999,865,1751,1226,2080,1227,2079,928,935,1524,1837,2021,2096,1539,1543,939,1801,1745,1763,1393,1071,1340,947,1800,1809,1908,2001,2003,1088,1547,1130,1836,2020,2095,1761,1113,1488,843,2058,962,965,1097,862,892,1077,1075,1066,987,1959,1118,945,1802,1263,1950,1499,2122,881,2148,1727,979,1895,2059,2110,1744,1757,1486,1512,1741,1728,997,1736,1257,1289,1297,1096,981,595,503,809,668,798,603,564,815,755,581,709,593,688,648,646,625,554,464,587,740,737,696,652,596,660,659,657,712,569,832,831,830,829,834,833,624,623,591,523,750,720,783,821,749,743,528,731,669,655,632,630,566,558,573,582,580,540,583,692,742,633,680,770,721,675,725,760,733,736,735,691,517,544,31,794,567,561,635,756,752,677,148,143,138,128,124,123,116,715,686,684,683,644,642,626,555,553,594,670,585,543,800,781,780,739,738,695,651,782,836,552,524,751,441,665,768,745,744,801,806,805,672,132,577,575,628,627,586,584,671,599,546,767,689,730,729,30,776,722,541,498,717,766,716,610,505,741,728,682,674,734,765,690,519,15]),
% 3.80/3.87     ['proof']).
% 3.80/3.87  % SZS output end Proof
% 3.80/3.87  % Total time :2.980000s
%------------------------------------------------------------------------------