TSTP Solution File: SWV854-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 21:35:30 EDT 2023
% Result : Unsatisfiable 2.36s 2.37s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 10:02:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 2.24/2.33 %-------------------------------------------
% 2.24/2.33 % File :CSE---1.6
% 2.24/2.33 % Problem :theBenchmark
% 2.24/2.33 % Transform :cnf
% 2.24/2.33 % Format :tptp:raw
% 2.24/2.33 % Command :java -jar mcs_scs.jar %d %s
% 2.24/2.33
% 2.24/2.33 % Result :Theorem 1.470000s
% 2.24/2.33 % Output :CNFRefutation 1.470000s
% 2.24/2.33 %-------------------------------------------
% 2.24/2.33 %------------------------------------------------------------------------------
% 2.24/2.33 % File : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 2.24/2.33 % Domain : Software Verification
% 2.24/2.33 % Problem : Hoare logic with procedures 276_1
% 2.24/2.33 % Version : Especial.
% 2.24/2.33 % English : Completeness is taken relative to completeness of the underlying
% 2.24/2.33 % logic. Two versions of completeness proof: nested single recursion
% 2.24/2.33 % and simultaneous recursion in call rule.
% 2.24/2.33
% 2.24/2.33 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.24/2.33 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.24/2.33 % Source : [Nip10]
% 2.24/2.33 % Names : Hoare-276_1 [Nip10]
% 2.24/2.33
% 2.24/2.33 % Status : Unsatisfiable
% 2.24/2.33 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.65 v5.3.0, 0.67 v5.2.0, 0.56 v5.1.0, 0.59 v5.0.0, 0.57 v4.1.0
% 2.24/2.33 % Syntax : Number of clauses : 763 ( 229 unt; 74 nHn; 429 RR)
% 2.24/2.33 % Number of literals : 1631 ( 506 equ; 879 neg)
% 2.24/2.33 % Maximal clause size : 5 ( 2 avg)
% 2.24/2.33 % Maximal term depth : 6 ( 1 avg)
% 2.24/2.33 % Number of predicates : 39 ( 38 usr; 0 prp; 1-6 aty)
% 2.24/2.33 % Number of functors : 63 ( 63 usr; 16 con; 0-10 aty)
% 2.24/2.33 % Number of variables : 2669 ( 794 sgn)
% 2.24/2.33 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.24/2.33
% 2.24/2.33 % Comments :
% 2.24/2.33 %------------------------------------------------------------------------------
% 2.24/2.33 cnf(cls_com_Osimps_I17_J_0,axiom,
% 2.24/2.33 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_max__less__iff__conj_2,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.33 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.24/2.33 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__diff__distrib__left_0,axiom,
% 2.24/2.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.33 | 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) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_diff__is__0__eq_0,axiom,
% 2.24/2.33 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.33 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_diff__is__0__eq_1,axiom,
% 2.24/2.33 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.33 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_z,T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_z,T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__max_Ole__infI_0,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_b,T_a)
% 2.24/2.33 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__max_Oinf__le2_0,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_min__max_Oinf__le1_0,axiom,
% 2.24/2.33 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.33 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_com_Osimps_I39_J_0,axiom,
% 2.24/2.33 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_evalc_OWhileFalse_0,axiom,
% 2.24/2.33 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)
% 2.24/2.33 | hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_less__add__Suc1_0,axiom,
% 2.24/2.33 c_HOL_Oord__class_Oless(V_i,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_less__add__Suc2_0,axiom,
% 2.24/2.33 c_HOL_Oord__class_Oless(V_i,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_less__iff__Suc__add_1,axiom,
% 2.24/2.33 c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_le__diff__conv2_0,axiom,
% 2.24/2.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 2.24/2.33 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.24/2.33 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.33
% 2.24/2.33 cnf(cls_le__diff__conv2_1,axiom,
% 2.24/2.33 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.24/2.33 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 2.24/2.33 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.34 | ~ c_lessequals(V_y,V_z,T_a)
% 2.24/2.34 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Osup__least_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 2.24/2.34 | ~ c_lessequals(V_z,V_x,T_a)
% 2.24/2.34 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Ole__supI_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 2.24/2.34 | ~ c_lessequals(V_b,V_x,T_a)
% 2.24/2.34 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_le__maxI1_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_le__maxI2_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_bot__least_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Obot(T_a)
% 2.24/2.34 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I3_J_1,axiom,
% 2.24/2.34 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.24/2.34 | V_com2 = V_com2_H ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I3_J_0,axiom,
% 2.24/2.34 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 2.24/2.34 | V_com1 = V_com1_H ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I46_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I44_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_insert__not__empty_0,axiom,
% 2.24/2.34 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I35_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_inj__on__id2_0,axiom,
% 2.24/2.34 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__increasing_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.34 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.24/2.34 | ~ c_lessequals(V_b,V_c,T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 2.24/2.34 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,V_j),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),tc_nat)
% 2.24/2.34 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_bot__fun__eq_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Obot(T_b)
% 2.24/2.34 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Orecs_I4_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I7_J_0,axiom,
% 2.24/2.34 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 2.24/2.34 | V_vname = V_vname_H ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I7_J_1,axiom,
% 2.24/2.34 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 2.24/2.34 | V_pname = V_pname_H ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I7_J_2,axiom,
% 2.24/2.34 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 2.24/2.34 | V_fun = V_fun_H ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__strict__increasing_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.34 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.24/2.34 | ~ c_lessequals(V_b,V_c,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__is__1_4,axiom,
% 2.24/2.34 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_mod__mod__trivial_0,axiom,
% 2.24/2.34 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.34 | 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) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Orecs_I3_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I24_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Orecs_I1_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_nat_Osplit_0,axiom,
% 2.24/2.34 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 2.24/2.34 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_mod__0_0,axiom,
% 2.24/2.34 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.34 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__less__iff__conj_2,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_less__Suc0_0,axiom,
% 2.24/2.34 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.34 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.34 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I36_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.34 | 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) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I56_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_inj__on__insert_0,axiom,
% 2.24/2.34 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.24/2.34 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_evaln_OWhileFalse_0,axiom,
% 2.24/2.34 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)
% 2.24/2.34 | hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_diff__add__cancel_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.24/2.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_nat__diff__split__asm_1,axiom,
% 2.24/2.34 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_x),V_b,tc_nat)))
% 2.24/2.34 | hBOOL(hAPP(V_P,V_x)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_nat__diff__split_1,axiom,
% 2.24/2.34 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_d),V_b,tc_nat)))
% 2.24/2.34 | hBOOL(hAPP(V_P,V_d)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_singletonE_0,axiom,
% 2.24/2.34 ( V_b = V_a
% 2.24/2.34 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__le__mono_0,axiom,
% 2.24/2.34 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 2.24/2.34 | ~ c_lessequals(V_k,V_l,tc_nat)
% 2.24/2.34 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__mono_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.24/2.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.24/2.34 | ~ c_lessequals(V_c,V_d,T_a)
% 2.24/2.34 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_comm__monoid__add_Opower__Suc2_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,hAPP(c_Suc,V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)),V_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_comm__monoid__add_Opower__Suc_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,hAPP(c_Suc,V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_less__Suc__eq__le_1,axiom,
% 2.24/2.34 ( c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat)
% 2.24/2.34 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_less__Suc__eq__le_0,axiom,
% 2.24/2.34 ( c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_le__less__Suc__eq_1,axiom,
% 2.24/2.34 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 2.24/2.34 | c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_double__eq__0__iff_1,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__is__0_2,axiom,
% 2.24/2.34 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_comm__monoid__add_Opower__add_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_m,T_a)),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_diff__less__Suc_0,axiom,
% 2.24/2.34 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),hAPP(c_Suc,V_m),tc_nat) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_comm__monoid__add_Opower__mult__distrib_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.34 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_b,V_n,T_a)) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_o__id_0,axiom,
% 2.24/2.34 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_id__o_0,axiom,
% 2.24/2.34 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_mod__add__eq_0,axiom,
% 2.24/2.34 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.34 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_add__nonneg__nonneg_0,axiom,
% 2.24/2.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.34 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.24/2.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_order__less__trans_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Opreorder(T_a)
% 2.24/2.34 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_xt1_I10_J_0,axiom,
% 2.24/2.34 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.34 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.24/2.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_com_Osimps_I51_J_0,axiom,
% 2.24/2.34 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.24/2.34
% 2.24/2.34 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 2.24/2.35 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 2.24/2.35 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 2.24/2.35 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__cancel__21_1,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_nat__add__left__commute_0,axiom,
% 2.24/2.35 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_nat__add__assoc_0,axiom,
% 2.24/2.35 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__gr__0_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.24/2.35 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_gr__implies__not0_0,axiom,
% 2.24/2.35 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_not__less0_0,axiom,
% 2.24/2.35 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__cancel__21_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_inj__on__id_0,axiom,
% 2.24/2.35 c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_trans__le__add2_0,axiom,
% 2.24/2.35 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 2.24/2.35 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_trans__le__add1_0,axiom,
% 2.24/2.35 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 2.24/2.35 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__leE_1,axiom,
% 2.24/2.35 ( c_lessequals(V_k,V_n,tc_nat)
% 2.24/2.35 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__leE_0,axiom,
% 2.24/2.35 ( c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.35 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 2.24/2.35 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 2.24/2.35 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 2.24/2.35 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 2.24/2.35 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I71_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_evaln_OIfTrue_0,axiom,
% 2.24/2.35 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)
% 2.24/2.35 | ~ c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)
% 2.24/2.35 | ~ hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_evaln__elim__cases_I5_J_1,axiom,
% 2.24/2.35 ( ~ hBOOL(hAPP(V_b,V_s))
% 2.24/2.35 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t)
% 2.24/2.35 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__diff__left__eq_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Oring__div(T_a)
% 2.24/2.35 | 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) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__diff__right__eq_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Oring__div(T_a)
% 2.24/2.35 | 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) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_insert__commute_0,axiom,
% 2.24/2.35 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 2.24/2.35 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 2.24/2.35 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 2.24/2.35 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_max__diff__distrib__left_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_COMBB__def_0,axiom,
% 2.24/2.35 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_COMBC__def_0,axiom,
% 2.24/2.35 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_COMBI__def_0,axiom,
% 2.24/2.35 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_COMBK__def_0,axiom,
% 2.24/2.35 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_COMBS__def_0,axiom,
% 2.24/2.35 c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__less__divisor_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I65_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_not__leE_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.35 | c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__antisym__conv2_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,V_x,T_a)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__antisym__conv1_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 2.24/2.35 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__not__less_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.35 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__not__less_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_y,V_x,T_a)
% 2.24/2.35 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__not__le_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,V_y,T_a)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_linorder__not__le_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.24/2.35 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_less__le__not__le_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Opreorder(T_a)
% 2.24/2.35 | ~ c_lessequals(V_y,V_x,T_a)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__add__left__eq_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.35 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__add__right__eq_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.35 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | 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) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__increasing2_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.35 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.35 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.24/2.35 | ~ c_lessequals(V_b,V_a,T_a)
% 2.24/2.35 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_Suc__leI_0,axiom,
% 2.24/2.35 ( c_lessequals(hAPP(c_Suc,V_m),V_n,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_Suc__le__eq_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.24/2.35 | ~ c_lessequals(hAPP(c_Suc,V_m),V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_less__eq__Suc__le_0,axiom,
% 2.24/2.35 ( c_lessequals(hAPP(c_Suc,V_n),V_m,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_less__eq__Suc__le_1,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.24/2.35 | ~ c_lessequals(hAPP(c_Suc,V_n),V_m,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_insert__absorb2_0,axiom,
% 2.24/2.35 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__lessD1_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_trans__less__add1_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_trans__less__add2_0,axiom,
% 2.24/2.35 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I23_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_insert__code_0,axiom,
% 2.24/2.35 ( hBOOL(hAPP(V_A,V_x))
% 2.24/2.35 | V_y = V_x
% 2.24/2.35 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I52_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_Suc__diff__le_0,axiom,
% 2.24/2.35 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,V_m),V_n,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 2.24/2.35 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I37_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__by__0_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.35 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__self_0,axiom,
% 2.24/2.35 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.35 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_nat__add__commute_0,axiom,
% 2.24/2.35 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_less__add__eq__less_0,axiom,
% 2.24/2.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 2.24/2.35 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.24/2.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_mod__le__divisor_0,axiom,
% 2.24/2.35 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_K__record__comp_0,axiom,
% 2.24/2.35 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_diff__less__mono2_0,axiom,
% 2.24/2.35 ( 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)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 2.24/2.35 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I45_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.24/2.35 | ~ class_Int_Onumber__ring(T_a)
% 2.24/2.35 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 2.24/2.35 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__eq__self__zero_0,axiom,
% 2.24/2.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 2.24/2.35 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 2.24/2.35 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 2.24/2.35 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I4_J_2,axiom,
% 2.24/2.35 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.24/2.35 | V_com2 = V_com2_H ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I4_J_1,axiom,
% 2.24/2.35 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.24/2.35 | V_com1 = V_com1_H ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I4_J_0,axiom,
% 2.24/2.35 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 2.24/2.35 | V_fun = V_fun_H ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_right__minus__eq_1,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_diff__0__right_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_diff__self_0,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.24/2.35 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.24/2.35 | ~ class_Int_Onumber__ring(T_a)
% 2.24/2.35 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_diff__self__eq__0_0,axiom,
% 2.24/2.35 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 2.24/2.35 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_le__max__iff__disj_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_z,V_y,T_a)
% 2.24/2.35 | c_lessequals(V_z,V_x,T_a)
% 2.24/2.35 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 2.24/2.35 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_p)),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q))
% 2.24/2.35 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_x,V_z,T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_x,V_y,T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__le__iff__disj_2,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.35 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__le__iff__disj_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__infI2_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 2.24/2.35 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__infI1_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 2.24/2.35 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__infE_1,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_x,V_b,T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__max_Ole__infE_0,axiom,
% 2.24/2.35 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.35 | c_lessequals(V_x,V_a,T_a)
% 2.24/2.35 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__0L_0,axiom,
% 2.24/2.35 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_min__0R_0,axiom,
% 2.24/2.35 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_option_Osimps_I3_J_0,axiom,
% 2.24/2.35 c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_not__None__eq_1,axiom,
% 2.24/2.35 c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_nat__case__0_0,axiom,
% 2.24/2.35 c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_Nitpick_Onat__case__def_0,axiom,
% 2.24/2.35 c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_com_Osimps_I57_J_0,axiom,
% 2.24/2.35 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_option_Oinject_0,axiom,
% 2.24/2.35 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
% 2.24/2.35 | V_a = V_a_H ) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_o__apply_0,axiom,
% 2.24/2.35 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_o__eq__dest__lhs_0,axiom,
% 2.24/2.35 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 2.24/2.35
% 2.24/2.35 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.24/2.35 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.24/2.36 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.24/2.36 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__is__0_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__is__0_1,axiom,
% 2.24/2.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_double__eq__0__iff_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I28_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__mod__geq_0,axiom,
% 2.24/2.36 ( 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)
% 2.24/2.36 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__le__iff__disj_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_y,V_z,T_a)
% 2.24/2.36 | c_lessequals(V_x,V_z,T_a)
% 2.24/2.36 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I22_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__add__cong_0,axiom,
% 2.24/2.36 ( ~ class_Divides_Osemiring__div(T_a)
% 2.24/2.36 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 2.24/2.36 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 2.24/2.36 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__Suc0_1,axiom,
% 2.24/2.36 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_even__less__0__iff_0,axiom,
% 2.24/2.36 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_even__less__0__iff_1,axiom,
% 2.24/2.36 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_1,axiom,
% 2.24/2.36 ( hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 2.24/2.36 | V_n = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.24/2.36 | V_m = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_2,axiom,
% 2.24/2.36 ( hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 2.24/2.36 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_y,V_z,T_a)
% 2.24/2.36 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_x,V_z,T_a)
% 2.24/2.36 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__max__iff__disj_2,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__max__iff__disj_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__supI2_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__supI1_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__supE_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_b,V_x,T_a)
% 2.24/2.36 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Ole__supE_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_lessequals(V_a,V_x,T_a)
% 2.24/2.36 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__diff__conv_0,axiom,
% 2.24/2.36 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__diff__conv_1,axiom,
% 2.24/2.36 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__max__iff__disj_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_WT_OIf_0,axiom,
% 2.24/2.36 ( c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))
% 2.24/2.36 | ~ c_Com_OWT(V_c1)
% 2.24/2.36 | ~ c_Com_OWT(V_c0) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I64_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I38_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__less__iff__disj_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__nonpos__neg_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__neg__nonpos_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__add__assoc_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat))
% 2.24/2.36 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__add__assoc2_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i)
% 2.24/2.36 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I26_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_Comp_0,axiom,
% 2.24/2.36 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.24/2.36 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.24/2.36 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_empty_0,axiom,
% 2.24/2.36 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I16_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | 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) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_5,axiom,
% 2.24/2.36 hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__strict__increasing2_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__le__mono2_0,axiom,
% 2.24/2.36 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__le__mono_0,axiom,
% 2.24/2.36 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__diff__iff_1,axiom,
% 2.24/2.36 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__diff__iff_0,axiom,
% 2.24/2.36 ( c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__add__0_0,axiom,
% 2.24/2.36 c_HOL_Ominus__class_Ominus(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__diff__left_0,axiom,
% 2.24/2.36 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evaln_OWhileTrue_0,axiom,
% 2.24/2.36 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)
% 2.24/2.36 | ~ hBOOL(hAPP(V_b,V_s0)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_not__Some__eq_1,axiom,
% 2.24/2.36 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_option_Osimps_I2_J_0,axiom,
% 2.24/2.36 c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc_OWhileTrue_0,axiom,
% 2.24/2.36 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c,V_s0,V_s1)
% 2.24/2.36 | ~ hBOOL(hAPP(V_b,V_s0)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_doubleton__eq__iff_4,axiom,
% 2.24/2.36 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_eq__eqI_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 2.24/2.36 | V_xa = V_y ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_eq__eqI_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.24/2.36 | V_x_H = V_y_H ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_eq__diff__iff_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_m,tc_nat)
% 2.24/2.36 | V_m = V_n ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evaln_OSemi_0,axiom,
% 2.24/2.36 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_3,axiom,
% 2.24/2.36 ( hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 2.24/2.36 | V_n = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.24/2.36 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_0,axiom,
% 2.24/2.36 ( hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 2.24/2.36 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | V_m = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_WT_OSkip_0,axiom,
% 2.24/2.36 c_Com_OWT(c_Com_Ocom_OSKIP) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc_OIfTrue_0,axiom,
% 2.24/2.36 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c0,V_s,V_s1)
% 2.24/2.36 | ~ hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc__elim__cases_I5_J_1,axiom,
% 2.24/2.36 ( ~ hBOOL(hAPP(V_b,V_s))
% 2.24/2.36 | c_Natural_Oevalc(V_c1,V_s,V_t)
% 2.24/2.36 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc_OSemi_0,axiom,
% 2.24/2.36 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2)
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_WT_OAssign_0,axiom,
% 2.24/2.36 c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_inj__on__empty_0,axiom,
% 2.24/2.36 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__0__eq__0_0,axiom,
% 2.24/2.36 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__cancel2_0,axiom,
% 2.24/2.36 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__cancel_0,axiom,
% 2.24/2.36 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_zero__less__Suc_0,axiom,
% 2.24/2.36 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gr0__conv__Suc_1,axiom,
% 2.24/2.36 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_x),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_WT_OCall_0,axiom,
% 2.24/2.36 ( c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))
% 2.24/2.36 | ~ c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_WTs__elim__cases_I8_J_0,axiom,
% 2.24/2.36 ( c_Com_OWT(c_Com_Ocom_OBODY(V_P))
% 2.24/2.36 | ~ c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oless__supI1_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oless__supI2_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__max__iff__disj_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__max__iff__disj_2,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_max__less__iff__conj_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_max__less__iff__conj_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oinf__commute_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I14_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I32_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__le__self_0,axiom,
% 2.24/2.36 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_singleton__inject_0,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 2.24/2.36 | V_a = V_b ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__neg__neg_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 2.24/2.36 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.24/2.36 | ~ class_Int_Onumber__ring(T_a)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | V_x = V_y ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_right__minus__eq_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | V_a = V_b ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.24/2.36 | V_a = V_b ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oless__infI1_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oless__infI2_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__less__iff__conj_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__less__iff__conj_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__less__iff__disj_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__less__iff__disj_2,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__commute_0,axiom,
% 2.24/2.36 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) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 2.24/2.36 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le0_0,axiom,
% 2.24/2.36 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_derivs__insertD_0,axiom,
% 2.24/2.36 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.24/2.36 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__nonneg__pos_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__pos__nonneg_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mono__iff__le__Suc_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | c_lessequals(hAPP(V_f,V_n),hAPP(V_f,hAPP(c_Suc,V_n)),T_a)
% 2.24/2.36 | ~ c_Orderings_Oorder__class_Omono(V_f,tc_nat,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__less__mono_0,axiom,
% 2.24/2.36 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_c,V_a,tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I43_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I61_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_insert__code_2,axiom,
% 2.24/2.36 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 2.24/2.36 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 2.24/2.36 | V_y = V_z ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__add__right__cancel_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 2.24/2.36 | V_m = V_n ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__add__left__cancel_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 2.24/2.36 | V_m = V_n ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 2.24/2.36 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.24/2.36 | ~ class_Int_Onumber__ring(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 2.24/2.36 | V_y = V_z ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__imp__eq_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 2.24/2.36 | V_b = V_c ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__left__cancel_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 2.24/2.36 | V_b = V_c ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__right__cancel_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 2.24/2.36 | V_b = V_c ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__less__eq__dividend_0,axiom,
% 2.24/2.36 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__add__distrib__left_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omin(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__add__diff_0,axiom,
% 2.24/2.36 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_k,tc_nat),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__diff__eq_0,axiom,
% 2.24/2.36 ( ~ class_Divides_Oring__div(T_a)
% 2.24/2.36 | 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) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_mul,V_x),V_y)),V_q) = hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),hAPP(hAPP(V_pwr,V_y),V_q))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_x),V_y)),hAPP(hAPP(V_mul,V_x),V_z))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_mul,V_y),V_z)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_x),V_y)),V_z)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_x),V_y)),V_z)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_d)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_b)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,V_c),hAPP(hAPP(V_add,V_a),V_d))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_b),V_c))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),hAPP(hAPP(V_add,V_b),V_d))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,V_lx),V_ry))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ry)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),V_rx))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ly)
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_ry))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),hAPP(hAPP(V_mul,V_rx),V_ry)))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.24/2.36 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),hAPP(hAPP(V_mul,V_ly),V_ry))
% 2.24/2.36 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_bot1E_0,axiom,
% 2.24/2.36 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__diff__right_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__1_0,axiom,
% 2.24/2.36 c_Divides_Odiv__class_Omod(V_m,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I10_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_comm__monoid__add_Opower__0_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.36 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_comm__monoid__add_Opower__one_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.24/2.36 | c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__imp__diff__less_0,axiom,
% 2.24/2.36 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__if_0,axiom,
% 2.24/2.36 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_one__is__add_4,axiom,
% 2.24/2.36 hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__le__not__le_2,axiom,
% 2.24/2.36 ( ~ class_Orderings_Opreorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.36 | c_lessequals(V_y,V_x,T_a)
% 2.24/2.36 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__less__le_1,axiom,
% 2.24/2.36 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__not__refl_0,axiom,
% 2.24/2.36 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__less__le_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__neq__iff_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__less__irrefl_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Opreorder(T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__imp__diff__is__add_1,axiom,
% 2.24/2.36 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Oinf__idem_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__0__eq_0,axiom,
% 2.24/2.36 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__pos__pos_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__add1_0,axiom,
% 2.24/2.36 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__add2_0,axiom,
% 2.24/2.36 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__iff__add_1,axiom,
% 2.24/2.36 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__minus__add__max_0,axiom,
% 2.24/2.36 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat)),V_m) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evaln__elim__cases_I5_J_0,axiom,
% 2.24/2.36 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t)
% 2.24/2.36 | hBOOL(hAPP(V_b,V_s))
% 2.24/2.36 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evaln_OIfFalse_0,axiom,
% 2.24/2.36 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)
% 2.24/2.36 | ~ c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)
% 2.24/2.36 | hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I60_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc_OSkip_0,axiom,
% 2.24/2.36 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I25_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.24/2.36 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.36 | V_x = V_y ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__antisym_0,axiom,
% 2.24/2.36 ( V_m = V_n
% 2.24/2.36 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__neq__iff_0,axiom,
% 2.24/2.36 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.24/2.36 | V_m = V_n ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com__det_0,axiom,
% 2.24/2.36 ( V_u = V_t
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c,V_s,V_u)
% 2.24/2.36 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__less__cases_0,axiom,
% 2.24/2.36 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 2.24/2.36 | V_m = V_n
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diffs0__imp__equal_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.24/2.36 | V_m = V_n ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__neqE__nat_0,axiom,
% 2.24/2.36 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 2.24/2.36 | V_x = V_y ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__eq__iff_2,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | ~ c_lessequals(V_y,V_x,T_a)
% 2.24/2.36 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__neqE_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.36 | V_x = V_y ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__antisym_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | ~ c_lessequals(V_y,V_x,T_a)
% 2.24/2.36 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__antisym__conv_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | ~ c_lessequals(V_x,V_y,T_a)
% 2.24/2.36 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__less__linear_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | V_x = V_y
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_mod__diff__cong_0,axiom,
% 2.24/2.36 ( ~ class_Divides_Oring__div(T_a)
% 2.24/2.36 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 2.24/2.36 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 2.24/2.36 | 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) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__iff__diff__le__0_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.36 | c_lessequals(V_a,V_b,T_a)
% 2.24/2.36 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_le__iff__diff__le__0_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.36 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_com_Osimps_I11_J_0,axiom,
% 2.24/2.36 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_min__max_Osup__idem_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Olinorder(T_a)
% 2.24/2.36 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__strict__mono_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__less__mono_0,axiom,
% 2.24/2.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 2.24/2.36 ( c_lessequals(V_x,V_y,tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__less__le_0,axiom,
% 2.24/2.36 ( c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__le__less_1,axiom,
% 2.24/2.36 ( ~ class_Orderings_Oorder(T_a)
% 2.24/2.36 | c_lessequals(V_x,V_y,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_order__less__imp__le_0,axiom,
% 2.24/2.36 ( ~ class_Orderings_Opreorder(T_a)
% 2.24/2.36 | c_lessequals(V_x,V_y,T_a)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evaln_OSkip_0,axiom,
% 2.24/2.36 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 2.24/2.36 ( c_HOL_Ominus__class_Ominus(V_m,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(c_Suc,V_j),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__iff__diff__less__0_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.36 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.24/2.36 | ~ 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) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_less__iff__diff__less__0_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.24/2.36 | 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)
% 2.24/2.36 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_doubleton__eq__iff_0,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.24/2.36 | V_a = V_d
% 2.24/2.36 | V_a = V_c ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_doubleton__eq__iff_1,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.24/2.36 | V_b = V_c
% 2.24/2.36 | V_a = V_c ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_doubleton__eq__iff_2,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.24/2.36 | V_a = V_d
% 2.24/2.36 | V_b = V_d ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_doubleton__eq__iff_3,axiom,
% 2.24/2.36 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 2.24/2.36 | V_b = V_c
% 2.24/2.36 | V_b = V_d ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__le__cancel__right_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__le__cancel__right_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | c_lessequals(V_a,V_b,T_a)
% 2.24/2.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__le__cancel__left_1,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__le__cancel__left_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.24/2.36 | c_lessequals(V_a,V_b,T_a)
% 2.24/2.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__right__mono_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.24/2.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__left__mono_0,axiom,
% 2.24/2.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 2.24/2.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.24/2.36 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_add__le__mono1_0,axiom,
% 2.24/2.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 2.24/2.36 ( c_lessequals(V_m,V_n,tc_nat)
% 2.24/2.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 2.24/2.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 2.24/2.36 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc__elim__cases_I5_J_0,axiom,
% 2.24/2.36 ( c_Natural_Oevalc(V_c2,V_s,V_t)
% 2.24/2.36 | hBOOL(hAPP(V_b,V_s))
% 2.24/2.36 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 2.24/2.36
% 2.24/2.36 cnf(cls_evalc_OIfFalse_0,axiom,
% 2.24/2.36 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)
% 2.24/2.37 | ~ c_Natural_Oevalc(V_c1,V_s,V_s1)
% 2.24/2.37 | hBOOL(hAPP(V_b,V_s)) ) ).
% 2.24/2.37
% 2.24/2.37 cnf(cls_le__imp__diff__is__add_0,axiom,
% 2.24/2.37 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 2.24/2.37 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__add__diff__inverse_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 2.36/2.37 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__add__diff__inverse2_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m
% 2.36/2.37 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I8_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I4_J_1,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c2)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I4_J_0,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c1)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__rec__0_0,axiom,
% 2.36/2.37 c_Nat_Onat_Onat__rec(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I29_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__diff__assoc_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__diff__assoc2_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_empty__not__insert_0,axiom,
% 2.36/2.37 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I66_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I69_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_cut_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_fcomp__apply_0,axiom,
% 2.36/2.37 hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gr0I_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 2.36/2.37 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_o__assoc_0,axiom,
% 2.36/2.37 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I1_J_1,axiom,
% 2.36/2.37 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H)
% 2.36/2.37 | V_fun = V_fun_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I1_J_0,axiom,
% 2.36/2.37 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H)
% 2.36/2.37 | V_vname = V_vname_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I33_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I13_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_neq0__conv_1,axiom,
% 2.36/2.37 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 2.36/2.37 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__add__self2_0,axiom,
% 2.36/2.37 ( ~ class_Divides_Osemiring__div(T_a)
% 2.36/2.37 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__add__self1_0,axiom,
% 2.36/2.37 ( ~ class_Divides_Osemiring__div(T_a)
% 2.36/2.37 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_comm__monoid__add_Opower__commutes_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)),V_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),V_a,V_n,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insert__code_1,axiom,
% 2.36/2.37 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__diff__iff_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_c)),hAPP(hAPP(V_mul,V_b),V_c))
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,V_m),hAPP(hAPP(V_mul,V_a),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),hAPP(hAPP(V_mul,V_b),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_m)
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__Suc_0,axiom,
% 2.36/2.37 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 2.36/2.37 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_o__eq__id__dest_0,axiom,
% 2.36/2.37 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)
% 2.36/2.37 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__is__1_3,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_n = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__is__1_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.36/2.37 | V_m = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I67_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I34_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__of__mono_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | ~ class_Orderings_Olinorder(T_b)
% 2.36/2.37 | c_Orderings_Oord__class_Omin(hAPP(V_f,V_m),hAPP(V_f,V_n),T_b) = hAPP(V_f,c_Orderings_Oord__class_Omin(V_m,V_n,T_a))
% 2.36/2.37 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I5_J_0,axiom,
% 2.36/2.37 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.36/2.37 | V_fun = V_fun_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I5_J_1,axiom,
% 2.36/2.37 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 2.36/2.37 | V_com = V_com_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__commute_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_While_0,axiom,
% 2.36/2.37 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))
% 2.36/2.37 | ~ c_Com_OWT(V_c) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I6_J_0,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Orecs_I8_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_monoD_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | ~ class_Orderings_Oorder(T_b)
% 2.36/2.37 | c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b)
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a)
% 2.36/2.37 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WT_OLocal_0,axiom,
% 2.36/2.37 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))
% 2.36/2.37 | ~ c_Com_OWT(V_c) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I3_J_0,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I15_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_max__0R_0,axiom,
% 2.36/2.37 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_max__0L_0,axiom,
% 2.36/2.37 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I53_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__diff__cancel_0,axiom,
% 2.36/2.37 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 2.36/2.37 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I50_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Orecs_I2_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I27_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_max__add__distrib__left_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__assoc_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Orecs_I6_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 2.36/2.37 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.36/2.37 | ~ class_Int_Onumber__ring(T_a)
% 2.36/2.37 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__0__left_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.36/2.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__elim__cases_I1_J_0,axiom,
% 2.36/2.37 ( V_t = V_s
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_id__apply_0,axiom,
% 2.36/2.37 hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__add__inverse2_0,axiom,
% 2.36/2.37 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__add__inverse_0,axiom,
% 2.36/2.37 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__diff__cancel_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.36/2.37 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Orecs_I5_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_max__of__mono_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | ~ class_Orderings_Olinorder(T_b)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(hAPP(V_f,V_m),hAPP(V_f,V_n),T_b) = hAPP(V_f,c_Orderings_Oord__class_Omax(V_m,V_n,T_a))
% 2.36/2.37 | ~ c_Orderings_Oorder__class_Omono(V_f,T_a,T_b) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__le__less__mono_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.36/2.37 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__le__mono_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.36/2.37 | ~ c_lessequals(V_c,V_d,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evalc__elim__cases_I1_J_0,axiom,
% 2.36/2.37 ( V_t = V_s
% 2.36/2.37 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__gr__0_2,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__gr__0_1,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__evalc_0,axiom,
% 2.36/2.37 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 2.36/2.37 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_eval__eq_1,axiom,
% 2.36/2.37 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 2.36/2.37 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple__valid__def2_2,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a)
% 2.36/2.37 | c_Natural_Oevaln(V_c,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(V_P,V_Q,V_c,V_n),V_n,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(V_P,V_Q,V_c,V_n)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insert__iff_2,axiom,
% 2.36/2.37 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insertCI_0,axiom,
% 2.36/2.37 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_ex__in__conv_0,axiom,
% 2.36/2.37 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_ball__empty_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(V_P,V_x))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_empty__iff_0,axiom,
% 2.36/2.37 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_emptyE_0,axiom,
% 2.36/2.37 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insertE_0,axiom,
% 2.36/2.37 ( hBOOL(c_in(V_a,V_A,T_a))
% 2.36/2.37 | V_a = V_b
% 2.36/2.37 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insert__iff_1,axiom,
% 2.36/2.37 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insertI1_0,axiom,
% 2.36/2.37 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insertCI_1,axiom,
% 2.36/2.37 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_inj__on__contraD_0,axiom,
% 2.36/2.37 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.36/2.37 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_inj__on__iff_0,axiom,
% 2.36/2.37 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.36/2.37 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.36/2.37 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.36/2.37 | V_x = V_y ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_inj__on__def_0,axiom,
% 2.36/2.37 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 2.36/2.37 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 2.36/2.37 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.36/2.37 | V_x = V_xa ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_inj__onD_0,axiom,
% 2.36/2.37 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 2.36/2.37 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_bex__empty_0,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,V_x))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insert__ident_0,axiom,
% 2.36/2.37 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 2.36/2.37 | hBOOL(c_in(V_x,V_B,T_a))
% 2.36/2.37 | hBOOL(c_in(V_x,V_A,T_a))
% 2.36/2.37 | V_A = V_B ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_insert__absorb_0,axiom,
% 2.36/2.37 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 2.36/2.37 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__le__mono_1,axiom,
% 2.36/2.37 ( c_lessequals(hAPP(c_Suc,V_n),hAPP(c_Suc,V_m),tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__le__mono_0,axiom,
% 2.36/2.37 ( c_lessequals(V_n,V_m,tc_nat)
% 2.36/2.37 | ~ c_lessequals(hAPP(c_Suc,V_n),hAPP(c_Suc,V_m),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__SucI_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__lessD_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 2.36/2.37 c_Divides_Odiv__class_Omod(hAPP(c_Suc,V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(hAPP(c_Suc,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__n__not__le__n_0,axiom,
% 2.36/2.37 ~ c_lessequals(hAPP(c_Suc,V_n),V_n,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__SucI_0,axiom,
% 2.36/2.37 ( c_lessequals(V_m,hAPP(c_Suc,V_n),tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__leD_0,axiom,
% 2.36/2.37 ( c_lessequals(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(hAPP(c_Suc,V_m),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Opwr__Suc_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_pwr,V_x),hAPP(c_Suc,V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n))
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_pwr,V_x),hAPP(c_Suc,V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q))
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__diff__iff_1,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_pos__add__strict_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_of__nat__aux_Osimps_I1_J_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.36/2.37 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_HOL_Ozero__class_Ozero(tc_nat),V_i,T_a) = V_i ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I2_J_2,axiom,
% 2.36/2.37 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 2.36/2.37 | V_com = V_com_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I2_J_1,axiom,
% 2.36/2.37 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 2.36/2.37 | V_fun = V_fun_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I2_J_0,axiom,
% 2.36/2.37 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 2.36/2.37 | V_loc = V_loc_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WT_OSemi_0,axiom,
% 2.36/2.37 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))
% 2.36/2.37 | ~ c_Com_OWT(V_c1)
% 2.36/2.37 | ~ c_Com_OWT(V_c0) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.36/2.37 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.36/2.37 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.36/2.37 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.36/2.37 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I20_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__add__less1_0,axiom,
% 2.36/2.37 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__add__less2_0,axiom,
% 2.36/2.37 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_fcomp__id_0,axiom,
% 2.36/2.37 c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_id__fcomp_0,axiom,
% 2.36/2.37 c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__if_1,axiom,
% 2.36/2.37 ( 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)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I47_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__0__eq_1,axiom,
% 2.36/2.37 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__diff__conv_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__diff__conv_1,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evalc__WHILE__case_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(V_b,V_s))
% 2.36/2.37 | V_t = V_s
% 2.36/2.37 | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_power_Opower_Opower__0_0,axiom,
% 2.36/2.37 c_Power_Opower_Opower(V_one,V_times,V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_one ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__strict__right__mono_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__cancel__right_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__cancel__right_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__strict__left__mono_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__cancel__left_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__cancel__left_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__less__mono1_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_split__mod_0,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 2.36/2.37 | hBOOL(hAPP(V_P,V_n)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_split__mod_5,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,V_n))
% 2.36/2.37 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I6_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_lessequals(V_z,V_x,T_a)
% 2.36/2.37 | ~ c_lessequals(V_z,V_y,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I7_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.36/2.37 | ~ c_lessequals(V_z,V_y,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I8_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__nonpos__nonpos_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.36/2.37 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.36/2.37 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.36/2.37 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__trans_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | c_lessequals(V_x,V_z,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y,V_z,T_a)
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__refl_0,axiom,
% 2.36/2.37 c_lessequals(V_n,V_n,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__trans_0,axiom,
% 2.36/2.37 ( c_lessequals(V_i,V_k,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_j,V_k,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_eq__imp__le_0,axiom,
% 2.36/2.37 c_lessequals(V_x,V_x,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__eq__iff_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__nonstrict_0,axiom,
% 2.36/2.37 ( c_Natural_Oevaln(V_c,V_s,V_m,V_t)
% 2.36/2.37 | ~ c_lessequals(V_n,V_m,tc_nat)
% 2.36/2.37 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__eq__refl_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | c_lessequals(V_x,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__le__less__trans_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__less__le__trans_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y,V_z,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__add__right__mono_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.36/2.37 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 2.36/2.37 | ~ c_lessequals(V_c,V_d,T_a)
% 2.36/2.37 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I21_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__diff_0,axiom,
% 2.36/2.37 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) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__diff__split_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 2.36/2.37 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__is__1_5,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_singleton__iff_1,axiom,
% 2.36/2.37 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I68_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__less__Suc__eq_0,axiom,
% 2.36/2.37 ( V_n = V_m
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_o__eq__dest_0,axiom,
% 2.36/2.37 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 2.36/2.37 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_comp__cong_0,axiom,
% 2.36/2.37 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 2.36/2.37 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__WHILE__case_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(V_b,V_s))
% 2.36/2.37 | V_t = V_s
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zero__less__diff_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ 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) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zero__less__diff_1,axiom,
% 2.36/2.37 ( 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)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_derivs__insertD_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__pred_0,axiom,
% 2.36/2.37 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(V_n,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__less_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__eqI_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.36/2.37 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__eqI_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.36/2.37 | c_lessequals(V_y,V_x,T_a)
% 2.36/2.37 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__eqI_0,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__eqI_1,axiom,
% 2.36/2.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.36/2.37 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I9_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zmod__simps_I1_J_0,axiom,
% 2.36/2.37 ( ~ class_Divides_Osemiring__div(T_a)
% 2.36/2.37 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_zmod__simps_I2_J_0,axiom,
% 2.36/2.37 ( ~ class_Divides_Osemiring__div(T_a)
% 2.36/2.37 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__diff__inverse_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__Suc__less_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,hAPP(c_Suc,V_i),tc_nat),V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__elim__cases_I5_J_2,axiom,
% 2.36/2.37 ( c_Natural_Oevaln(V_c2,V_s,V_n,V_t)
% 2.36/2.37 | c_Natural_Oevaln(V_c1,V_s,V_n,V_t)
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__is__1_1,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_n = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_m = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__is__1_2,axiom,
% 2.36/2.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 2.36/2.37 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.36/2.37 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I11_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.36/2.37 | V_a = V_b
% 2.36/2.37 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I12_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.36/2.37 | ~ c_lessequals(V_b,V_a,T_a)
% 2.36/2.37 | V_a = V_b ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__less__le_2,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | V_m = V_n
% 2.36/2.37 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__eq__less__or__eq_0,axiom,
% 2.36/2.37 ( V_m = V_n
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__neq__implies__less_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | V_m = V_n
% 2.36/2.37 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__le__less_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__less__le_2,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__le__neq__trans_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.36/2.37 | V_a = V_b
% 2.36/2.37 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__neq__le__trans_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.36/2.37 | ~ c_lessequals(V_a,V_b,T_a)
% 2.36/2.37 | V_a = V_b ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | V_x = V_y
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.36/2.37 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I42_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evalc__elim__cases_I5_J_2,axiom,
% 2.36/2.37 ( c_Natural_Oevalc(V_c2,V_s,V_t)
% 2.36/2.37 | c_Natural_Oevalc(V_c1,V_s,V_t)
% 2.36/2.37 | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I5_J_1,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c2)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WTs__elim__cases_I5_J_0,axiom,
% 2.36/2.37 ( c_Com_OWT(V_c1)
% 2.36/2.37 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_fcomp__assoc_0,axiom,
% 2.36/2.37 c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I12_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_xt1_I9_J_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Oorder(T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__le__linear_0,axiom,
% 2.36/2.37 ( c_lessequals(V_n,V_m,tc_nat)
% 2.36/2.37 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_linorder__linear_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Olinorder(T_a)
% 2.36/2.37 | c_lessequals(V_y,V_x,T_a)
% 2.36/2.37 | c_lessequals(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__less__asym_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_order__less__asym_H_0,axiom,
% 2.36/2.37 ( ~ class_Orderings_Opreorder(T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),hAPP(c_Suc,V_q))
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom,
% 2.36/2.37 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),hAPP(c_Suc,V_q))
% 2.36/2.37 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__trans__Suc_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,V_i),V_k,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__Suc__eq_2,axiom,
% 2.36/2.37 c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_lessI_0,axiom,
% 2.36/2.37 c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_n),tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__neq__Zero_0,axiom,
% 2.36/2.37 hAPP(c_Suc,V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 2.36/2.37 hAPP(c_Suc,V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__Suc_0,axiom,
% 2.36/2.37 ( c_Natural_Oevaln(V_c,V_s,hAPP(c_Suc,V_n),V_s_H)
% 2.36/2.37 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 2.36/2.37 ( V_n = V_m
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__antisym_0,axiom,
% 2.36/2.37 ( V_m = V_n
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__SucE_0,axiom,
% 2.36/2.37 ( V_m = V_n
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_diff__Suc__Suc_0,axiom,
% 2.36/2.37 c_HOL_Ominus__class_Ominus(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__case__Suc_0,axiom,
% 2.36/2.37 c_Nat_Onat_Onat__case(V_f1,V_f2,hAPP(c_Suc,V_nat),T_a) = hAPP(V_f2,V_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mono__Suc_0,axiom,
% 2.36/2.37 c_Orderings_Oorder__class_Omono(c_Suc,tc_nat,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_power_Opower_Opower__Suc_0,axiom,
% 2.36/2.37 c_Power_Opower_Opower(V_one,V_times,V_a,hAPP(c_Suc,V_n),T_a) = hAPP(hAPP(V_times,V_a),c_Power_Opower_Opower(V_one,V_times,V_a,V_n,T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_inj__Suc_0,axiom,
% 2.36/2.37 c_Fun_Oinj__on(c_Suc,V_N,tc_nat,tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat__rec__Suc_0,axiom,
% 2.36/2.37 c_Nat_Onat_Onat__rec(V_f1,V_f2,hAPP(c_Suc,V_nat),T_a) = hAPP(hAPP(V_f2,V_nat),c_Nat_Onat_Onat__rec(V_f1,V_f2,V_nat,T_a)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Zero__neq__Suc_0,axiom,
% 2.36/2.37 c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,V_m) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 2.36/2.37 c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,V_nat_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__Suc_0,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__Suc__right_0,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_max__Suc__Suc_0,axiom,
% 2.36/2.37 c_Orderings_Oord__class_Omax(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat) = hAPP(c_Suc,c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mod__Suc_1,axiom,
% 2.36/2.37 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,V_m),V_n,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 2.36/2.37 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_of__nat__aux_Osimps_I2_J_0,axiom,
% 2.36/2.37 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 2.36/2.37 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,hAPP(c_Suc,V_n),V_i,T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,V_n,hAPP(V_inc,V_i),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_add__Suc__shift_0,axiom,
% 2.36/2.37 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat_Osplit__asm_1,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,hAPP(c_Suc,V_xa),t_a)))
% 2.36/2.37 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat_Osplit_1,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,hAPP(c_Suc,V_nat),t_a)))
% 2.36/2.37 | hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__lessI_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),V_n,tc_nat)
% 2.36/2.37 | hAPP(c_Suc,V_m) = V_n
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__eq__eq_1,axiom,
% 2.36/2.37 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(hAPP(c_Suc,V_n),V_m,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__eq__eq_0,axiom,
% 2.36/2.37 ( c_lessequals(hAPP(c_Suc,V_n),V_m,tc_nat)
% 2.36/2.37 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__diff__diff_0,axiom,
% 2.36/2.37 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,V_m),V_n,tc_nat),hAPP(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) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__Suc__eq_2,axiom,
% 2.36/2.37 c_lessequals(hAPP(c_Suc,V_n),hAPP(c_Suc,V_n),tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_min__Suc__Suc_0,axiom,
% 2.36/2.37 c_Orderings_Oord__class_Omin(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat) = hAPP(c_Suc,c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_le__SucE_0,axiom,
% 2.36/2.37 ( V_m = hAPP(c_Suc,V_n)
% 2.36/2.37 | c_lessequals(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_lessequals(V_m,hAPP(c_Suc,V_n),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__eq_1,axiom,
% 2.36/2.37 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_not__less__eq_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)
% 2.36/2.37 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,V_x),hAPP(c_Suc,V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__less__eq_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__mono_0,axiom,
% 2.36/2.37 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat)
% 2.36/2.37 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__elim__cases_I6_J_0,axiom,
% 2.36/2.37 ( V_n = hAPP(c_Suc,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_o__def_0,axiom,
% 2.36/2.37 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_id__def_0,axiom,
% 2.36/2.37 hAPP(c_Fun_Oid(t_a),v_x) = v_x ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_fcomp__def_0,axiom,
% 2.36/2.37 hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I19_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I58_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Orecs_I7_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a) = hAPP(V_f7,V_pname) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I55_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I54_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I31_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I30_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I41_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I59_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I63_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OBODY(V_pname) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I49_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I48_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I40_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I62_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I70_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OBODY(V_pname),T_a) = hAPP(V_f7,V_pname) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I18_J_0,axiom,
% 2.36/2.37 c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Osplit__asm_0,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))
% 2.36/2.37 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Osplit_0,axiom,
% 2.36/2.37 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))
% 2.36/2.37 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Orecs_0,axiom,
% 2.36/2.37 c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Ocases_0,axiom,
% 2.36/2.37 c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_COMBI__def__raw_0,axiom,
% 2.36/2.37 hAPP(c_COMBI(t_a),v_P) = v_P ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple__valid__def2_3,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a)
% 2.36/2.37 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(V_P,V_Q,V_c,V_n)),v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(V_P,V_Q,V_c,V_n))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple__valid__def2_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a)
% 2.36/2.37 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(V_P,V_Q,V_c,V_n)),v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(V_P,V_Q,V_c,V_n))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_WT_OBody_0,axiom,
% 2.36/2.37 ( c_Com_OWT(c_Com_Ocom_OBODY(V_pn))
% 2.36/2.37 | c_Com_Obody(V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_COMBB__def__raw_0,axiom,
% 2.36/2.37 c_COMBB(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_COMBS__def__raw_0,axiom,
% 2.36/2.37 c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_COMBC__def__raw_0,axiom,
% 2.36/2.37 c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_hoare__valids__def_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_na,V_ts,tc_Hoare__Mirabelle_Otriple(t_a)))
% 2.36/2.37 | hBOOL(c_in(v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),V_G,tc_Hoare__Mirabelle_Otriple(t_a)))
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_hoare__valids__def_2,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a)
% 2.36/2.37 | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_G,tc_Hoare__Mirabelle_Otriple(t_a))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_hoare__valids__def_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_nb,V_ts,tc_Hoare__Mirabelle_Otriple(t_a)))
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_the_Osimps_0,axiom,
% 2.36/2.37 c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_BodyN_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_weak__Body_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln__elim__cases_I6_J_1,axiom,
% 2.36/2.37 ( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_bot__empty__eq_0,axiom,
% 2.36/2.37 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple__valid__def2_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))
% 2.36/2.37 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 2.36/2.37 | ~ hBOOL(hAPP(hAPP(V_P,V_Z),V_s))
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),t_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_COMBK__def__raw_0,axiom,
% 2.36/2.37 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triples__valid__Suc_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_ts,tc_Hoare__Mirabelle_Otriple(t_a)))
% 2.36/2.37 | hBOOL(c_in(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),V_ts,tc_Hoare__Mirabelle_Otriple(t_a))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Body__triple__valid__0_0,axiom,
% 2.36/2.37 c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triples__valid__Suc_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_xa,V_ts,tc_Hoare__Mirabelle_Otriple(t_a)))
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evalc_OBody_0,axiom,
% 2.36/2.37 ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)
% 2.36/2.37 | ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evalc__elim__cases_I6_J_0,axiom,
% 2.36/2.37 ( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,V_s1)
% 2.36/2.37 | ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P),V_s,V_s1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_evaln_OBody_0,axiom,
% 2.36/2.37 ( c_Natural_Oevaln(c_Com_Ocom_OBODY(V_pn),V_s0,hAPP(c_Suc,V_n),V_s1)
% 2.36/2.37 | ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_n,V_s1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_n__not__Suc__n_0,axiom,
% 2.36/2.37 V_n != hAPP(c_Suc,V_n) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__n__not__n_0,axiom,
% 2.36/2.37 hAPP(c_Suc,V_n) != V_n ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Oinject_2,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.36/2.37 | V_fun2 = V_fun2_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Oinject_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.36/2.37 | V_com = V_com_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple_Oinject_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 2.36/2.37 | V_fun1 = V_fun1_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_nat_Oinject_0,axiom,
% 2.36/2.37 ( hAPP(c_Suc,V_nat) != hAPP(c_Suc,V_nat_H)
% 2.36/2.37 | V_nat = V_nat_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Suc__inject_0,axiom,
% 2.36/2.37 ( hAPP(c_Suc,V_x) != hAPP(c_Suc,V_y)
% 2.36/2.37 | V_x = V_y ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_triple__valid__Suc_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),V_t,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mem__def_1,axiom,
% 2.36/2.37 ( hBOOL(c_in(V_x,V_S,T_a))
% 2.36/2.37 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_mem__def_0,axiom,
% 2.36/2.37 ( hBOOL(hAPP(V_S,V_x))
% 2.36/2.37 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Body__triple__valid__Suc_0,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_Body__triple__valid__Suc_1,axiom,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),T_a)
% 2.36/2.37 | ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_com_Osimps_I6_J_0,axiom,
% 2.36/2.37 ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)
% 2.36/2.37 | V_pname = V_pname_H ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_conjecture_0,negated_conjecture,
% 2.36/2.37 hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_conjecture_1,negated_conjecture,
% 2.36/2.37 ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_conjecture_2,negated_conjecture,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(v_na,V_x,t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_x,v_G,tc_Hoare__Mirabelle_Otriple(t_a))) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_conjecture_3,negated_conjecture,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,V_x),c_Com_Ocom_OBODY(V_x),hAPP(v_Q,V_x),t_a),t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_x,v_Procs,tc_Com_Opname)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_conjecture_4,negated_conjecture,
% 2.36/2.37 ( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,V_x),c_Option_Othe(c_Com_Obody(V_x),tc_Com_Ocom),hAPP(v_Q,V_x),t_a),t_a)
% 2.36/2.37 | ~ hBOOL(c_in(V_x,v_Procs,tc_Com_Opname)) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 2.36/2.37 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 2.36/2.37 | ~ class_Orderings_Opreorder(T_1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 2.36/2.37 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 2.36/2.37 | ~ class_Orderings_Oorder(T_1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_fun__Orderings_Obot,axiom,
% 2.36/2.37 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 2.36/2.37 | ~ class_Orderings_Obot(T_1) ) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 2.36/2.37 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 2.36/2.37 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 2.36/2.37 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 2.36/2.37 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 2.36/2.37 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 2.36/2.37 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 2.36/2.37 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 2.36/2.37 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 2.36/2.37 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 2.36/2.37 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 2.36/2.37 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 2.36/2.37 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 2.36/2.37 class_Divides_Osemiring__div(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 2.36/2.37 class_Orderings_Opreorder(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 2.36/2.37 class_Orderings_Olinorder(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 2.36/2.37 class_Orderings_Oorder(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_nat__Orderings_Obot,axiom,
% 2.36/2.37 class_Orderings_Obot(tc_nat) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 2.36/2.37 class_Orderings_Opreorder(tc_bool) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 2.36/2.37 class_Orderings_Oorder(tc_bool) ).
% 2.36/2.37
% 2.36/2.37 cnf(clsarity_bool__Orderings_Obot,axiom,
% 2.36/2.37 class_Orderings_Obot(tc_bool) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 2.36/2.37 c_fequal(V_x,V_x,T_a) ).
% 2.36/2.37
% 2.36/2.37 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 2.36/2.37 ( V_X = V_Y
% 2.36/2.37 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 2.36/2.37
% 2.36/2.37 %------------------------------------------------------------------------------
% 2.36/2.37 %-------------------------------------------
% 2.36/2.37 % Proof found
% 2.36/2.37 % SZS status Theorem for theBenchmark
% 2.36/2.37 % SZS output start Proof
% 2.36/2.38 %ClaNum:959(EqnAxiom:202)
% 2.36/2.38 %VarNum:4669(SingletonVarNum:2175)
% 2.36/2.38 %MaxLitNum:5
% 2.36/2.38 %MaxfuncDepth:5
% 2.36/2.38 %SharedTerms:74
% 2.36/2.38 %goalClause: 258 425 635 877 885
% 2.36/2.38 %singleGoalClaCount:2
% 2.36/2.38 [203]P1(a1)
% 2.36/2.38 [204]P2(a1)
% 2.36/2.38 [205]P2(a2)
% 2.36/2.38 [206]P3(a1)
% 2.36/2.38 [207]P4(a1)
% 2.36/2.38 [208]P5(a1)
% 2.36/2.38 [209]P24(a1)
% 2.36/2.38 [210]P29(a1)
% 2.36/2.38 [211]P31(a1)
% 2.36/2.38 [212]P31(a2)
% 2.36/2.38 [213]P32(a1)
% 2.36/2.38 [214]P32(a2)
% 2.36/2.38 [215]P33(a1)
% 2.36/2.38 [216]P19(a1)
% 2.36/2.38 [217]P6(a3)
% 2.36/2.38 [218]P22(a1)
% 2.36/2.38 [219]P23(a1)
% 2.36/2.38 [220]P30(a1)
% 2.36/2.38 [221]P25(a1)
% 2.36/2.38 [222]P34(a1)
% 2.36/2.38 [223]P37(a1)
% 2.36/2.38 [230]P7(a35,a1,a1)
% 2.36/2.38 [258]P38(f41(a49,a50,a42))
% 2.36/2.38 [425]~P13(f13(a35,a52),f27(f13(a47,a49),f8(a49),f13(a51,a49),a12),a12)
% 2.36/2.38 [271]E(f41(a49,f37(f46(a12,a2)),a12),f13(f37(f46(a12,a2)),a49))
% 2.36/2.38 [234]P16(x2341,x2341,a1)
% 2.36/2.38 [235]P8(a3,x2351,x2351)
% 2.36/2.38 [281]P10(a35,x2811,a1,a1)
% 2.36/2.38 [376]~P9(x3761,x3761,a1)
% 2.36/2.38 [238]E(f24(x2381,x2381,a1),f25(a1))
% 2.36/2.38 [239]P16(f25(a1),x2391,a1)
% 2.36/2.38 [249]P9(x2491,f13(a35,x2491),a1)
% 2.36/2.38 [251]P9(f25(a1),f13(a35,x2511),a1)
% 2.36/2.38 [346]~E(f8(x3461),a3)
% 2.36/2.38 [348]~E(f13(a35,x3481),x3481)
% 2.36/2.38 [358]~E(f13(a35,x3581),f25(a1))
% 2.36/2.38 [384]~P9(x3841,f25(a1),a1)
% 2.36/2.38 [410]~P16(f13(a35,x4101),x4101,a1)
% 2.36/2.38 [232]E(f13(f13(f23(a1),x2321),f25(a1)),x2321)
% 2.36/2.38 [240]E(f36(x2401,f25(a1),a1),x2401)
% 2.36/2.38 [241]E(f24(x2411,f25(a1),a1),x2411)
% 2.36/2.38 [242]E(f36(f25(a1),x2421,a1),x2421)
% 2.36/2.38 [244]E(f38(x2441,f25(a1),a1),f25(a1))
% 2.36/2.38 [245]E(f38(f25(a1),x2451,a1),f25(a1))
% 2.36/2.38 [246]E(f24(f25(a1),x2461,a1),f25(a1))
% 2.36/2.38 [236]E(f13(f13(f23(a1),f25(a1)),x2361),x2361)
% 2.36/2.38 [252]E(f15(x2521,f13(a35,f25(a1)),a1),f25(a1))
% 2.36/2.38 [237]P17(x2371,x2371,x2372)
% 2.36/2.38 [283]P15(a3,x2831,x2832,x2831)
% 2.36/2.38 [228]P6(f5(x2281,x2282))
% 2.36/2.38 [272]P16(f24(x2721,x2722,a1),x2721,a1)
% 2.36/2.38 [273]P16(f15(x2731,x2732,a1),x2731,a1)
% 2.36/2.38 [276]P9(f24(x2761,x2762,a1),f13(a35,x2761),a1)
% 2.36/2.38 [287]P10(f4(x2871),x2872,x2871,x2871)
% 2.36/2.38 [288]P10(f14(x2881),x2882,x2881,x2881)
% 2.36/2.38 [352]~E(f18(x3521,x3522),a3)
% 2.36/2.38 [353]~E(f19(x3531,x3532),a3)
% 2.36/2.38 [354]~E(f5(x3541,x3542),a3)
% 2.36/2.38 [368]~E(f22(x3681,x3682),f31(x3682))
% 2.36/2.38 [226]E(f13(f4(x2261),x2262),x2262)
% 2.36/2.38 [227]E(f13(f14(x2271),x2272),x2272)
% 2.36/2.38 [229]E(f34(f22(x2291,x2292),x2292),x2291)
% 2.36/2.38 [270]E(f24(f13(a35,x2701),f13(a35,x2702),a1),f24(x2701,x2702,a1))
% 2.36/2.38 [278]E(f36(f13(a35,x2781),f13(a35,x2782),a1),f13(a35,f36(x2781,x2782,a1)))
% 2.36/2.38 [279]E(f38(f13(a35,x2791),f13(a35,x2792),a1),f13(a35,f38(x2791,x2792,a1)))
% 2.36/2.38 [254]E(f13(f13(f23(a1),x2541),x2542),f13(f13(f23(a1),x2542),x2541))
% 2.36/2.38 [263]P12(x2631,f37(f46(f45(x2632),a2)),x2632)
% 2.36/2.38 [264]P16(x2641,f13(f13(f23(a1),x2642),x2641),a1)
% 2.36/2.38 [266]P16(x2661,f13(f13(f23(a1),x2661),x2662),a1)
% 2.36/2.38 [274]E(f13(f13(f23(a1),f13(a35,x2741)),x2742),f13(f13(f23(a1),x2741),f13(a35,x2742)))
% 2.36/2.38 [298]E(f13(f13(f23(a1),f24(x2981,x2982,a1)),x2982),f36(x2981,x2982,a1))
% 2.36/2.38 [304]E(f15(f13(a35,f15(x3041,x3042,a1)),x3042,a1),f15(f13(a35,x3041),x3042,a1))
% 2.36/2.38 [419]~P38(f13(f37(f46(x4191,a2)),x4192))
% 2.36/2.38 [420]~P9(f13(f13(f23(a1),x4201),x4202),x4202,a1)
% 2.36/2.38 [421]~P9(f13(f13(f23(a1),x4211),x4212),x4211,a1)
% 2.36/2.38 [424]~P38(f41(x4241,f37(f46(x4242,a2)),x4242))
% 2.36/2.38 [267]E(f24(f13(f13(f23(a1),x2671),x2672),x2672,a1),x2671)
% 2.36/2.38 [268]E(f24(f13(f13(f23(a1),x2681),x2682),x2681,a1),x2682)
% 2.36/2.38 [269]E(f24(x2691,f13(f13(f23(a1),x2691),x2692),a1),f25(a1))
% 2.36/2.38 [275]E(f13(f13(f23(a1),x2751),f13(a35,x2752)),f13(a35,f13(f13(f23(a1),x2751),x2752)))
% 2.36/2.38 [277]E(f13(f13(f23(a1),f13(a35,x2771)),x2772),f13(a35,f13(f13(f23(a1),x2771),x2772)))
% 2.36/2.38 [289]P9(x2891,f13(a35,f13(f13(f23(a1),x2892),x2891)),a1)
% 2.36/2.38 [291]P9(x2911,f13(a35,f13(f13(f23(a1),x2911),x2912)),a1)
% 2.36/2.38 [361]~E(f8(x3611),f18(x3612,x3613))
% 2.36/2.38 [362]~E(f8(x3621),f19(x3622,x3623))
% 2.36/2.38 [363]~E(f8(x3631),f5(x3632,x3633))
% 2.36/2.38 [364]~E(f18(x3641,x3642),f8(x3643))
% 2.36/2.38 [365]~E(f19(x3651,x3652),f8(x3653))
% 2.36/2.38 [366]~E(f5(x3661,x3662),f8(x3663))
% 2.36/2.38 [380]~E(f10(x3801,x3802,x3803),a3)
% 2.36/2.38 [381]~E(f11(x3811,x3812,x3813),a3)
% 2.36/2.38 [382]~E(f9(x3821,x3822,x3823),a3)
% 2.36/2.38 [280]E(f39(x2801,f39(x2801,x2802,x2803),x2803),f39(x2801,x2802,x2803))
% 2.36/2.38 [282]P38(f13(f39(x2821,x2822,x2823),x2821))
% 2.36/2.38 [285]E(f26(x2851,x2852,f25(a1),x2853),x2851)
% 2.36/2.38 [286]E(f30(x2861,x2862,f25(a1),x2863),x2861)
% 2.36/2.38 [296]P10(x2961,f37(f46(x2962,a2)),x2962,x2963)
% 2.36/2.38 [299]E(f24(f24(x2991,x2992,a1),x2993,a1),f24(f24(x2991,x2993,a1),x2992,a1))
% 2.36/2.38 [303]P38(f41(x3031,f39(x3031,x3032,x3033),x3033))
% 2.36/2.38 [306]E(f24(f24(f13(a35,x3061),x3062,a1),f13(a35,x3063),a1),f24(f24(x3061,x3062,a1),x3063,a1))
% 2.36/2.38 [307]E(f38(f24(x3071,x3072,a1),f24(x3073,x3072,a1),a1),f24(f38(x3071,x3073,a1),x3072,a1))
% 2.36/2.38 [315]E(f20(x3151,f14(x3152),x3152,x3153,x3152),x3151)
% 2.36/2.38 [316]E(f21(x3161,f14(x3162),x3163,x3162,x3162),x3161)
% 2.36/2.38 [317]E(f20(f14(x3171),x3172,x3171,x3171,x3173),x3172)
% 2.36/2.38 [318]E(f21(f14(x3181),x3182,x3181,x3181,x3183),x3182)
% 2.36/2.38 [319]P12(x3191,f39(f27(x3192,a3,x3192,x3193),f37(f46(f45(x3193),a2)),f45(x3193)),x3193)
% 2.36/2.38 [411]~E(f39(x4111,x4112,x4113),f37(f46(x4113,a2)))
% 2.36/2.38 [412]~E(f37(f46(x4121,a2)),f39(x4122,x4123,x4121))
% 2.36/2.38 [292]E(f13(f13(f23(a1),x2921),f13(f13(f23(a1),x2922),x2923)),f13(f13(f23(a1),x2922),f13(f13(f23(a1),x2921),x2923)))
% 2.36/2.38 [294]E(f24(f13(f13(f23(a1),x2941),x2942),f13(f13(f23(a1),x2943),x2942),a1),f24(x2941,x2943,a1))
% 2.36/2.38 [295]E(f24(f13(f13(f23(a1),x2951),x2952),f13(f13(f23(a1),x2951),x2953),a1),f24(x2952,x2953,a1))
% 2.36/2.38 [297]E(f24(x2971,f13(f13(f23(a1),x2972),x2973),a1),f24(f24(x2971,x2972,a1),x2973,a1))
% 2.36/2.38 [305]E(f13(f13(f23(a1),f13(f13(f23(a1),x3051),x3052)),x3053),f13(f13(f23(a1),x3051),f13(f13(f23(a1),x3052),x3053)))
% 2.36/2.38 [370]~E(f19(x3701,x3702),f18(x3703,x3704))
% 2.36/2.38 [373]~E(f5(x3731,x3732),f18(x3733,x3734))
% 2.36/2.38 [374]~E(f5(x3741,x3742),f19(x3743,x3744))
% 2.36/2.38 [385]~E(f8(x3851),f10(x3852,x3853,x3854))
% 2.36/2.38 [386]~E(f8(x3861),f11(x3862,x3863,x3864))
% 2.36/2.38 [387]~E(f8(x3871),f9(x3872,x3873,x3874))
% 2.36/2.38 [388]~E(f10(x3881,x3882,x3883),f8(x3884))
% 2.36/2.38 [389]~E(f11(x3891,x3892,x3893),f8(x3894))
% 2.36/2.38 [390]~E(f9(x3901,x3902,x3903),f8(x3904))
% 2.36/2.38 [260]E(f13(f6(x2601,x2602,x2603),x2604),x2601)
% 2.36/2.38 [293]E(f26(x2931,x2932,f13(a35,x2933),x2934),f13(x2932,x2933))
% 2.36/2.38 [300]E(f39(x3001,f39(x3002,x3003,x3004),x3004),f39(x3002,f39(x3001,x3003,x3004),x3004))
% 2.36/2.38 [310]P13(f25(a1),f27(x3101,f8(x3102),x3103,x3104),x3104)
% 2.36/2.38 [311]E(f13(f13(x3111,x3112),f30(x3113,x3111,x3112,x3114)),f30(x3113,x3111,f13(a35,x3112),x3114))
% 2.36/2.38 [314]E(f40(x3141,x3142,x3143,f25(a1),x3144),x3141)
% 2.36/2.38 [325]E(f13(f20(f6(x3251,x3252,x3253),x3254,x3253,x3252,a12),a49),x3251)
% 2.36/2.38 [392]~E(f18(x3921,x3922),f10(x3923,x3924,x3925))
% 2.36/2.38 [393]~E(f18(x3931,x3932),f11(x3933,x3934,x3935))
% 2.36/2.38 [394]~E(f18(x3941,x3942),f9(x3943,x3944,x3945))
% 2.36/2.38 [395]~E(f19(x3951,x3952),f10(x3953,x3954,x3955))
% 2.36/2.38 [396]~E(f19(x3961,x3962),f11(x3963,x3964,x3965))
% 2.36/2.38 [397]~E(f19(x3971,x3972),f9(x3973,x3974,x3975))
% 2.36/2.38 [398]~E(f5(x3981,x3982),f10(x3983,x3984,x3985))
% 2.36/2.38 [399]~E(f5(x3991,x3992),f11(x3993,x3994,x3995))
% 2.36/2.38 [400]~E(f5(x4001,x4002),f9(x4003,x4004,x4005))
% 2.36/2.38 [401]~E(f10(x4011,x4012,x4013),f18(x4014,x4015))
% 2.36/2.38 [402]~E(f10(x4021,x4022,x4023),f19(x4024,x4025))
% 2.36/2.38 [403]~E(f10(x4031,x4032,x4033),f5(x4034,x4035))
% 2.36/2.38 [404]~E(f11(x4041,x4042,x4043),f18(x4044,x4045))
% 2.36/2.38 [405]~E(f11(x4051,x4052,x4053),f19(x4054,x4055))
% 2.36/2.38 [406]~E(f11(x4061,x4062,x4063),f5(x4064,x4065))
% 2.36/2.38 [407]~E(f9(x4071,x4072,x4073),f18(x4074,x4075))
% 2.36/2.38 [408]~E(f9(x4081,x4082,x4083),f19(x4084,x4085))
% 2.36/2.38 [409]~E(f9(x4091,x4092,x4093),f5(x4094,x4095))
% 2.36/2.38 [326]E(f13(f13(x3261,x3262),f40(x3263,x3261,x3262,x3264,x3265)),f40(x3263,x3261,x3262,f13(a35,x3264),x3265))
% 2.36/2.38 [414]~E(f11(x4141,x4142,x4143),f10(x4144,x4145,x4146))
% 2.36/2.38 [417]~E(f9(x4171,x4172,x4173),f10(x4174,x4175,x4176))
% 2.36/2.38 [418]~E(f9(x4181,x4182,x4183),f11(x4184,x4185,x4186))
% 2.36/2.38 [323]E(f13(f20(x3231,x3232,x3233,x3234,x3235),x3236),f13(x3231,f13(x3232,x3236)))
% 2.36/2.38 [324]E(f13(f21(x3241,x3242,x3243,x3244,x3245),x3246),f13(x3242,f13(x3241,x3246)))
% 2.36/2.38 [312]E(f28(x3121,f27(x3122,x3123,x3124,x3125),x3125,x3126),f13(f13(f13(x3121,x3122),x3123),x3124))
% 2.36/2.38 [313]E(f29(x3131,f27(x3132,x3133,x3134,x3135),x3135,x3136),f13(f13(f13(x3131,x3132),x3133),x3134))
% 2.36/2.38 [327]E(f20(x3271,f20(x3272,x3273,x3274,x3275,x3276),x3275,x3277,x3276),f20(f20(x3271,x3272,x3275,x3277,x3274),x3273,x3274,x3277,x3276))
% 2.36/2.38 [328]E(f21(f21(x3281,x3282,x3283,x3284,x3285),x3286,x3283,x3285,x3287),f21(x3281,f21(x3282,x3286,x3284,x3285,x3287),x3283,x3284,x3287))
% 2.36/2.38 [329]E(f16(x3291,x3292,x3293,x3294,x3295,x3296,x3297,x3298,a3,x3299),x3291)
% 2.36/2.38 [330]E(f17(x3301,x3302,x3303,x3304,x3305,x3306,x3307,x3308,a3,x3309),x3301)
% 2.36/2.38 [331]E(f16(x3311,x3312,x3313,x3314,x3315,x3316,x3317,x3318,f8(x3319),x33110),f13(x3317,x3319))
% 2.36/2.38 [332]E(f17(x3321,x3322,x3323,x3324,x3325,x3326,x3327,x3328,f8(x3329),x33210),f13(x3327,x3329))
% 2.36/2.38 [333]E(f16(x3331,x3332,x3333,x3334,x3335,x3336,x3337,x3338,f5(x3339,x33310),x33311),f13(f13(x3332,x3339),x33310))
% 2.36/2.38 [334]E(f17(x3341,x3342,x3343,x3344,x3345,x3346,x3347,x3348,f18(x3349,x33410),x33411),f13(f13(x3346,x3349),x33410))
% 2.36/2.38 [335]E(f17(x3351,x3352,x3353,x3354,x3355,x3356,x3357,x3358,f19(x3359,x33510),x33511),f13(f13(x3354,x3359),x33510))
% 2.36/2.38 [336]E(f17(x3361,x3362,x3363,x3364,x3365,x3366,x3367,x3368,f5(x3369,x33610),x33611),f13(f13(x3362,x3369),x33610))
% 2.36/2.38 [341]E(f13(f13(f13(x3411,x3412),x3413),f16(x3414,x3415,x3416,x3417,x3418,x3411,x3419,x34110,x3413,x34111)),f16(x3414,x3415,x3416,x3417,x3418,x3411,x3419,x34110,f18(x3412,x3413),x34111))
% 2.36/2.38 [343]E(f13(f13(f13(f13(x3431,x3432),x3433),f16(x3434,x3435,x3436,x3431,x3437,x3438,x3439,x34310,x3432,x34311)),f16(x3434,x3435,x3436,x3431,x3437,x3438,x3439,x34310,x3433,x34311)),f16(x3434,x3435,x3436,x3431,x3437,x3438,x3439,x34310,f19(x3432,x3433),x34311))
% 2.36/2.38 [342]E(f13(f13(f13(f13(x3421,x3422),x3423),x3424),f16(x3425,x3426,x3421,x3427,x3428,x3429,x34210,x34211,x3424,x34212)),f16(x3425,x3426,x3421,x3427,x3428,x3429,x34210,x34211,f10(x3422,x3423,x3424),x34212))
% 2.36/2.38 [344]E(f13(f13(f13(f13(f13(x3441,x3442),x3443),x3444),f16(x3445,x3446,x3447,x3448,x3441,x3449,x34410,x34411,x3443,x34412)),f16(x3445,x3446,x3447,x3448,x3441,x3449,x34410,x34411,x3444,x34412)),f16(x3445,x3446,x3447,x3448,x3441,x3449,x34410,x34411,f11(x3442,x3443,x3444),x34412))
% 2.36/2.38 [337]E(f16(x3371,x3372,x3373,x3374,x3375,x3376,x3377,x3378,f9(x3379,x33710,x33711),x33712),f13(f13(f13(x3378,x3379),x33710),x33711))
% 2.36/2.38 [338]E(f17(x3381,x3382,x3383,x3384,x3385,x3386,x3387,x3388,f10(x3389,x33810,x33811),x33812),f13(f13(f13(x3383,x3389),x33810),x33811))
% 2.36/2.38 [339]E(f17(x3391,x3392,x3393,x3394,x3395,x3396,x3397,x3398,f11(x3399,x33910,x33911),x33912),f13(f13(f13(x3395,x3399),x33910),x33911))
% 2.36/2.38 [340]E(f17(x3401,x3402,x3403,x3404,x3405,x3406,x3407,x3408,f9(x3409,x34010,x34011),x34012),f13(f13(f13(x3408,x3409),x34010),x34011))
% 2.36/2.38 [427]E(f7(x4271),f31(a44))+P6(f8(x4271))
% 2.36/2.38 [445]E(x4451,f25(a1))+P9(f25(a1),x4451,a1)
% 2.36/2.38 [475]E(x4751,f25(a1))+~P16(x4751,f25(a1),a1)
% 2.36/2.38 [472]~P27(x4721)+E(f13(f13(f23(x4721),f25(x4721)),f25(x4721)),f25(x4721))
% 2.36/2.38 [517]E(x5171,f25(a1))+~P9(x5171,f13(a35,f25(a1)),a1)
% 2.36/2.38 [635]P13(a52,x6351,a12)+~P38(f41(x6351,a48,f45(a12)))
% 2.36/2.38 [877]~P38(f41(x8771,a50,a42))+P13(a52,f27(f13(a47,x8771),f8(x8771),f13(a51,x8771),a12),a12)
% 2.36/2.38 [885]~P38(f41(x8851,a50,a42))+P13(a52,f27(f13(a47,x8851),f34(f7(x8851),a44),f13(a51,x8851),a12),a12)
% 2.36/2.38 [467]~P2(x4671)+E(f13(f37(f46(a12,x4671)),a49),f37(x4671))
% 2.36/2.38 [677]~P9(f25(a1),x6771,a1)+E(f13(a35,f24(x6771,f13(a35,f25(a1)),a1)),x6771)
% 2.36/2.38 [446]~P31(x4462)+P16(x4461,x4461,x4462)
% 2.36/2.38 [447]~P32(x4472)+P16(x4471,x4471,x4472)
% 2.36/2.38 [473]E(x4731,x4732)+~P8(a3,x4732,x4731)
% 2.36/2.38 [476]~P9(x4762,x4762,x4761)+~P1(x4761)
% 2.36/2.38 [477]~P9(x4772,x4772,x4771)+~P31(x4771)
% 2.36/2.38 [478]~P9(x4782,x4782,x4781)+~P32(x4781)
% 2.36/2.38 [485]P16(x4852,x4851,a1)+P16(x4851,x4852,a1)
% 2.36/2.38 [519]~P9(x5191,x5192,a1)+P16(x5191,x5192,a1)
% 2.36/2.38 [426]E(x4261,x4262)+~E(f8(x4261),f8(x4262))
% 2.36/2.38 [428]~P2(x4282)+P2(f46(x4281,x4282))
% 2.36/2.38 [429]~P31(x4292)+P31(f46(x4291,x4292))
% 2.36/2.38 [430]~P32(x4302)+P32(f46(x4301,x4302))
% 2.36/2.38 [431]~P6(x4312)+P6(f18(x4311,x4312))
% 2.36/2.38 [433]E(x4331,x4332)+~E(f13(a35,x4331),f13(a35,x4332))
% 2.36/2.38 [442]P6(x4421)+~P6(f18(x4422,x4421))
% 2.36/2.38 [443]P6(x4431)+~P6(f19(x4432,x4431))
% 2.36/2.38 [444]P6(x4441)+~P6(f19(x4441,x4442))
% 2.36/2.38 [448]~P1(x4482)+E(f36(x4481,x4481,x4482),x4481)
% 2.36/2.38 [449]~P1(x4492)+E(f38(x4491,x4491,x4492),x4491)
% 2.36/2.38 [451]~P26(x4512)+E(f24(x4511,x4511,x4512),f25(x4512))
% 2.36/2.38 [452]~P20(x4522)+E(f24(x4521,x4521,x4522),f25(x4522))
% 2.36/2.38 [453]~P5(x4532)+E(f15(x4531,x4531,x4532),f25(x4532))
% 2.36/2.38 [457]~P2(x4571)+P16(f37(x4571),x4572,x4571)
% 2.36/2.38 [512]P9(x5121,x5122,a1)+P9(x5122,f13(a35,x5121),a1)
% 2.36/2.38 [514]P16(x5141,x5142,a1)+P16(f13(a35,x5142),x5141,a1)
% 2.36/2.38 [520]~P9(x5201,x5202,a1)+E(f15(x5201,x5202,a1),x5201)
% 2.36/2.38 [521]~P16(x5211,x5212,a1)+E(f24(x5211,x5212,a1),f25(a1))
% 2.36/2.38 [525]P16(x5251,x5252,a1)+~E(f24(x5251,x5252,a1),f25(a1))
% 2.36/2.38 [547]~P9(x5471,x5472,a1)+P9(x5471,f13(a35,x5472),a1)
% 2.36/2.38 [548]~P16(x5481,x5482,a1)+P9(x5481,f13(a35,x5482),a1)
% 2.36/2.38 [550]~P16(x5501,x5502,a1)+P16(x5501,f13(a35,x5502),a1)
% 2.36/2.38 [552]~P9(x5521,x5522,a1)+P16(f13(a35,x5521),x5522,a1)
% 2.36/2.38 [561]P16(x5611,x5612,a1)+~P9(x5611,f13(a35,x5612),a1)
% 2.36/2.38 [562]P9(x5621,x5622,a1)+~P9(f13(a35,x5621),x5622,a1)
% 2.36/2.38 [564]P9(x5641,x5642,a1)+~P16(f13(a35,x5641),x5642,a1)
% 2.36/2.38 [565]P16(x5651,x5652,a1)+~P16(f13(a35,x5651),x5652,a1)
% 2.36/2.38 [603]~P9(x6031,x6032,a1)+P9(f13(a35,x6031),f13(a35,x6032),a1)
% 2.36/2.38 [604]~P16(x6041,x6042,a1)+P16(f13(a35,x6041),f13(a35,x6042),a1)
% 2.36/2.38 [612]~P9(x6121,x6122,a1)+~P9(x6122,f13(a35,x6121),a1)
% 2.36/2.38 [613]~P16(x6131,x6132,a1)+~P16(f13(a35,x6132),x6131,a1)
% 2.36/2.38 [617]P9(x6171,x6172,a1)+~P9(f13(a35,x6171),f13(a35,x6172),a1)
% 2.36/2.38 [618]P16(x6181,x6182,a1)+~P16(f13(a35,x6181),f13(a35,x6182),a1)
% 2.36/2.38 [651]~P9(x6512,x6511,a1)+P9(f25(a1),f24(x6511,x6512,a1),a1)
% 2.36/2.38 [653]P9(f15(x6531,x6532,a1),x6532,a1)+~P9(f25(a1),x6532,a1)
% 2.36/2.38 [654]P16(f15(x6541,x6542,a1),x6542,a1)+~P9(f25(a1),x6542,a1)
% 2.36/2.38 [699]P9(x6991,x6992,a1)+~P9(f25(a1),f24(x6992,x6991,a1),a1)
% 2.36/2.38 [454]~P4(x4541)+E(f13(f13(f23(x4541),x4542),f25(x4541)),x4542)
% 2.36/2.38 [455]~P33(x4551)+E(f13(f13(f23(x4551),x4552),f25(x4551)),x4552)
% 2.36/2.38 [456]~P25(x4561)+E(f13(f13(f23(x4561),x4562),f25(x4561)),x4562)
% 2.36/2.38 [458]~P26(x4582)+E(f24(x4581,f25(x4582),x4582),x4581)
% 2.36/2.38 [459]~P5(x4592)+E(f15(x4591,f25(x4592),x4592),x4591)
% 2.36/2.38 [460]~P5(x4601)+E(f15(f25(x4601),x4602,x4601),f25(x4601))
% 2.36/2.38 [614]P9(x6142,x6141,a1)+E(f13(f13(f23(a1),x6141),f24(x6142,x6141,a1)),x6142)
% 2.36/2.38 [644]~P16(x6441,x6442,a1)+E(f13(f13(f23(a1),x6441),f24(x6442,x6441,a1)),x6442)
% 2.36/2.38 [649]~P16(x6492,x6491,a1)+E(f24(x6491,f24(x6491,x6492,a1),a1),x6492)
% 2.36/2.38 [675]P9(x6751,x6752,a1)+E(f15(f24(x6751,x6752,a1),x6752,a1),f15(x6751,x6752,a1))
% 2.36/2.38 [676]~E(f13(a35,f15(x6761,x6762,a1)),x6762)+E(f15(f13(a35,x6761),x6762,a1),f25(a1))
% 2.36/2.38 [684]~P16(x6842,x6841,a1)+E(f24(f13(a35,x6841),x6842,a1),f13(a35,f24(x6841,x6842,a1)))
% 2.36/2.38 [690]~P9(f25(a1),x6901,a1)+P9(f24(x6901,f13(a35,x6902),a1),x6901,a1)
% 2.36/2.38 [694]~P16(x6942,x6941,a1)+E(f15(f24(x6941,x6942,a1),x6942,a1),f15(x6941,x6942,a1))
% 2.36/2.38 [700]E(f13(a35,f15(x7001,x7002,a1)),x7002)+E(f15(f13(a35,x7001),x7002,a1),f13(a35,f15(x7001,x7002,a1)))
% 2.36/2.38 [897]~P4(x8971)+E(f40(f25(x8971),f23(x8971),f25(x8971),x8972,x8971),f25(x8971))
% 2.36/2.38 [461]~P4(x4611)+E(f13(f13(f23(x4611),f25(x4611)),x4612),x4612)
% 2.36/2.38 [463]~P33(x4631)+E(f13(f13(f23(x4631),f25(x4631)),x4632),x4632)
% 2.36/2.38 [464]~P25(x4641)+E(f13(f13(f23(x4641),f25(x4641)),x4642),x4642)
% 2.36/2.38 [469]E(x4691,f25(a1))+~E(f13(f13(f23(a1),x4692),x4691),x4692)
% 2.36/2.38 [470]E(x4701,f25(a1))+~E(f13(f13(f23(a1),x4702),x4701),f25(a1))
% 2.36/2.38 [471]E(x4711,f25(a1))+~E(f13(f13(f23(a1),x4711),x4712),f25(a1))
% 2.36/2.38 [697]~P38(f13(x6971,x6972))+P38(f13(x6971,f15(x6972,f25(a1),a1)))
% 2.36/2.38 [743]~P16(x7432,x7431,a1)+E(f13(f13(f23(a1),f24(x7431,x7432,a1)),x7432),x7431)
% 2.36/2.38 [810]P38(f13(x8101,x8102))+~P38(f13(x8101,f15(x8102,f25(a1),a1)))
% 2.36/2.38 [474]E(x4741,x4742)+~P17(x4741,x4742,x4743)
% 2.36/2.38 [793]E(x7931,x7932)+~P15(a3,x7932,x7933,x7931)
% 2.36/2.38 [441]E(x4411,x4412)+~E(f22(x4411,x4413),f22(x4412,x4413))
% 2.36/2.38 [489]P8(f18(x4891,x4893),x4892,x4892)+P38(f13(x4891,x4892))
% 2.36/2.38 [493]~P1(x4933)+E(f36(x4931,x4932,x4933),f36(x4932,x4931,x4933))
% 2.36/2.38 [494]~P1(x4943)+E(f38(x4941,x4942,x4943),f38(x4942,x4941,x4943))
% 2.36/2.38 [504]~P6(x5043)+P6(f10(x5041,x5042,x5043))
% 2.36/2.38 [511]~P6(f8(x5112))+P6(f9(x5111,x5112,x5113))
% 2.36/2.38 [545]~P38(f13(x5452,x5451))+P38(f41(x5451,x5452,x5453))
% 2.36/2.38 [554]~P1(x5543)+P16(x5541,f36(x5542,x5541,x5543),x5543)
% 2.36/2.38 [555]~P1(x5553)+P16(x5551,f36(x5551,x5552,x5553),x5553)
% 2.36/2.38 [556]~P1(x5563)+P16(f38(x5561,x5562,x5563),x5562,x5563)
% 2.36/2.38 [557]~P1(x5573)+P16(f38(x5571,x5572,x5573),x5571,x5573)
% 2.36/2.38 [583]P13(x5831,x5832,x5833)+~P13(f13(a35,x5831),x5832,x5833)
% 2.36/2.38 [585]P6(x5851)+~P6(f10(x5852,x5853,x5851))
% 2.36/2.38 [586]P6(x5861)+~P6(f11(x5862,x5863,x5861))
% 2.36/2.38 [587]P6(x5871)+~P6(f11(x5872,x5871,x5873))
% 2.36/2.38 [605]P6(f8(x6051))+~P6(f9(x6052,x6051,x6053))
% 2.36/2.38 [615]P38(f13(x6151,x6152))+~P38(f41(x6152,x6151,x6153))
% 2.36/2.38 [634]E(f39(x6341,x6342,x6343),x6342)+~P38(f41(x6341,x6342,x6343))
% 2.36/2.38 [648]~P9(x6481,x6483,a1)+P9(f24(x6481,x6482,a1),x6483,a1)
% 2.36/2.38 [755]~P16(x7551,x7553,a1)+P16(f24(x7551,x7552,a1),f24(x7553,x7552,a1),a1)
% 2.36/2.38 [756]~P16(x7563,x7562,a1)+P16(f24(x7561,x7562,a1),f24(x7561,x7563,a1),a1)
% 2.36/2.38 [558]~P1(x5583)+E(f36(x5581,f38(x5581,x5582,x5583),x5583),x5581)
% 2.36/2.38 [559]~P1(x5593)+E(f38(x5591,f36(x5591,x5592,x5593),x5593),x5591)
% 2.36/2.38 [606]~P8(f8(x6061),x6062,x6063)+P8(f34(f7(x6061),a44),x6062,x6063)
% 2.36/2.38 [610]P8(f8(x6101),x6102,x6103)+~P8(f34(f7(x6101),a44),x6102,x6103)
% 2.36/2.38 [622]~P1(x6223)+E(f36(x6221,f36(x6221,x6222,x6223),x6223),f36(x6221,x6222,x6223))
% 2.36/2.38 [623]~P1(x6233)+E(f38(x6231,f38(x6231,x6232,x6233),x6233),f38(x6231,x6232,x6233))
% 2.36/2.38 [624]~P5(x6243)+E(f15(f15(x6241,x6242,x6243),x6242,x6243),f15(x6241,x6242,x6243))
% 2.36/2.38 [672]~P37(x6723)+E(f32(x6721,f25(a1),x6722,x6723),x6722)
% 2.36/2.38 [490]~P4(x4901)+E(f13(f13(f23(x4901),x4902),x4903),f13(f13(f23(x4901),x4903),x4902))
% 2.36/2.38 [492]~P33(x4921)+E(f13(f13(f23(x4921),x4922),x4923),f13(f13(f23(x4921),x4923),x4922))
% 2.36/2.38 [527]E(x5271,x5272)+~E(f13(f13(f23(a1),x5273),x5271),f13(f13(f23(a1),x5273),x5272))
% 2.36/2.38 [528]E(x5281,x5282)+~E(f13(f13(f23(a1),x5281),x5283),f13(f13(f23(a1),x5282),x5283))
% 2.36/2.38 [626]~P9(x6261,x6263,a1)+P9(x6261,f13(f13(f23(a1),x6262),x6263),a1)
% 2.36/2.38 [628]~P9(x6281,x6282,a1)+P9(x6281,f13(f13(f23(a1),x6282),x6283),a1)
% 2.36/2.38 [630]~P16(x6301,x6303,a1)+P16(x6301,f13(f13(f23(a1),x6302),x6303),a1)
% 2.36/2.38 [632]~P16(x6321,x6322,a1)+P16(x6321,f13(f13(f23(a1),x6322),x6323),a1)
% 2.36/2.38 [683]~P26(x6831)+E(f13(f13(f23(x6831),f24(x6832,x6833,x6831)),x6833),x6832)
% 2.36/2.38 [686]P9(x6861,x6862,a1)+~P9(f13(f13(f23(a1),x6861),x6863),x6862,a1)
% 2.36/2.38 [687]P16(x6871,x6872,a1)+~P16(f13(f13(f23(a1),x6873),x6871),x6872,a1)
% 2.36/2.38 [688]P16(x6881,x6882,a1)+~P16(f13(f13(f23(a1),x6881),x6883),x6882,a1)
% 2.36/2.38 [716]~P9(x7161,x7163,a1)+P9(f13(f13(f23(a1),x7161),x7162),f13(f13(f23(a1),x7163),x7162),a1)
% 2.36/2.38 [717]~P9(x7172,x7173,a1)+P9(f13(f13(f23(a1),x7171),x7172),f13(f13(f23(a1),x7171),x7173),a1)
% 2.36/2.38 [718]~P16(x7181,x7183,a1)+P16(f13(f13(f23(a1),x7181),x7182),f13(f13(f23(a1),x7183),x7182),a1)
% 2.36/2.38 [719]~P16(x7192,x7193,a1)+P16(f13(f13(f23(a1),x7191),x7192),f13(f13(f23(a1),x7191),x7193),a1)
% 2.36/2.38 [740]E(x7401,x7402)+~E(f39(x7401,f37(f46(x7403,a2)),x7403),f39(x7402,f37(f46(x7403,a2)),x7403))
% 2.36/2.38 [788]P9(x7881,f24(x7882,x7883,a1),a1)+~P9(f13(f13(f23(a1),x7881),x7883),x7882,a1)
% 2.36/2.38 [789]P16(f24(x7891,x7892,a1),x7893,a1)+~P16(x7891,f13(f13(f23(a1),x7893),x7892),a1)
% 2.36/2.38 [794]~P16(f24(x7941,x7943,a1),x7942,a1)+P16(x7941,f13(f13(f23(a1),x7942),x7943),a1)
% 2.36/2.38 [795]~P9(x7951,f24(x7953,x7952,a1),a1)+P9(f13(f13(f23(a1),x7951),x7952),x7953,a1)
% 2.36/2.38 [807]P9(x8071,x8072,a1)+~P9(f13(f13(f23(a1),x8073),x8071),f13(f13(f23(a1),x8073),x8072),a1)
% 2.36/2.38 [808]P16(x8081,x8082,a1)+~P16(f13(f13(f23(a1),x8083),x8081),f13(f13(f23(a1),x8083),x8082),a1)
% 2.36/2.38 [846]~P16(x8462,x8463,a1)+E(f24(f13(f13(f23(a1),x8461),x8462),f13(a35,x8463),a1),f24(x8461,f13(a35,f24(x8463,x8462,a1)),a1))
% 2.36/2.38 [901]P38(f13(x9011,x9012))+~P38(f13(x9011,f26(x9012,x9013,f25(a1),a12)))
% 2.36/2.38 [553]~P26(x5531)+E(f24(f13(f13(f23(x5531),x5532),x5533),x5533,x5531),x5532)
% 2.36/2.38 [619]~P5(x6191)+E(f15(f13(f13(f23(x6191),x6192),x6193),x6193,x6191),f15(x6192,x6193,x6191))
% 2.36/2.38 [620]~P5(x6201)+E(f15(f13(f13(f23(x6201),x6202),x6203),x6202,x6201),f15(x6203,x6202,x6201))
% 2.36/2.38 [787]~P16(x7873,x7872,a1)+E(f24(f13(f13(f23(a1),x7871),x7872),x7873,a1),f13(f13(f23(a1),x7871),f24(x7872,x7873,a1)))
% 2.36/2.38 [790]~P16(x7902,x7903,a1)+E(f24(f13(f13(f23(a1),x7901),x7902),x7903,a1),f24(x7901,f24(x7903,x7902,a1),a1))
% 2.36/2.38 [809]~P16(x8093,x8092,a1)+P16(x8091,f24(f13(f13(f23(a1),x8092),x8091),x8093,a1),a1)
% 2.36/2.38 [834]~P16(x8343,x8341,a1)+E(f24(f13(f13(f23(a1),x8341),x8342),x8343,a1),f13(f13(f23(a1),f24(x8341,x8343,a1)),x8342))
% 2.36/2.38 [847]~P16(x8472,x8471,a1)+E(f24(f13(a35,x8471),f13(f13(f23(a1),x8472),x8473),a1),f24(f13(a35,f24(x8471,x8472,a1)),x8473,a1))
% 2.36/2.38 [883]E(x8831,x8832)+~P38(f41(x8831,f39(x8832,f37(f46(x8833,a2)),x8833),x8833))
% 2.36/2.38 [916]~P4(x9161)+E(f13(f13(f23(x9161),f40(f25(x9161),f23(x9161),x9162,x9163,x9161)),x9162),f40(f25(x9161),f23(x9161),x9162,f13(a35,x9163),x9161))
% 2.36/2.38 [891]P38(f13(x8911,x8912))+~P38(f13(x8911,f24(f13(f13(f23(a1),x8913),x8912),x8913,a1)))
% 2.36/2.38 [824]P8(x8241,x8242,x8243)+~P15(x8241,x8242,x8244,x8243)
% 2.36/2.38 [435]E(x4351,x4352)+~E(f18(x4353,x4351),f18(x4354,x4352))
% 2.36/2.38 [436]E(x4361,x4362)+~E(f19(x4363,x4361),f19(x4364,x4362))
% 2.36/2.38 [437]E(x4371,x4372)+~E(f5(x4373,x4371),f5(x4374,x4372))
% 2.36/2.38 [438]E(x4381,x4382)+~E(f18(x4381,x4383),f18(x4382,x4384))
% 2.36/2.38 [439]E(x4391,x4392)+~E(f19(x4391,x4393),f19(x4392,x4394))
% 2.36/2.38 [440]E(x4401,x4402)+~E(f5(x4401,x4403),f5(x4402,x4404))
% 2.36/2.38 [698]P15(f18(x6981,x6983),x6982,x6984,x6982)+P38(f13(x6981,x6982))
% 2.36/2.38 [857]~P15(x8571,x8572,x8573,x8574)+P15(x8571,x8572,f13(a35,x8573),x8574)
% 2.36/2.38 [902]P15(x9023,f56(x9022,x9024,x9023,x9021),x9021,f58(x9022,x9024,x9023,x9021))+P13(x9021,f27(x9022,x9023,x9024,a12),a12)
% 2.36/2.38 [691]~P38(f13(x6912,x6914))+P38(f13(f39(x6911,x6912,x6913),x6914))
% 2.36/2.38 [734]P12(x7341,x7342,x7343)+~P12(x7341,f39(x7344,x7342,f45(x7343)),x7343)
% 2.36/2.38 [735]~P1(x7354)+E(f36(x7351,f36(x7352,x7353,x7354),x7354),f36(x7352,f36(x7351,x7353,x7354),x7354))
% 2.36/2.38 [736]~P1(x7364)+E(f38(x7361,f38(x7362,x7363,x7364),x7364),f38(x7362,f38(x7361,x7363,x7364),x7364))
% 2.36/2.38 [737]~P1(x7373)+E(f36(f36(x7371,x7372,x7373),x7374,x7373),f36(x7371,f36(x7372,x7374,x7373),x7373))
% 2.36/2.38 [738]~P1(x7383)+E(f38(f38(x7381,x7382,x7383),x7384,x7383),f38(x7381,f38(x7382,x7384,x7383),x7383))
% 2.36/2.38 [813]~P1(x8133)+E(f38(f36(x8131,x8132,x8133),f36(x8131,x8134,x8133),x8133),f36(x8131,f38(x8132,x8134,x8133),x8133))
% 2.36/2.38 [814]~P1(x8143)+E(f36(f38(x8141,x8142,x8143),f38(x8141,x8144,x8143),x8143),f38(x8141,f36(x8142,x8144,x8143),x8143))
% 2.36/2.38 [815]~P1(x8153)+E(f38(f36(x8151,x8152,x8153),f36(x8154,x8152,x8153),x8153),f36(f38(x8151,x8154,x8153),x8152,x8153))
% 2.36/2.38 [816]~P1(x8163)+E(f36(f38(x8161,x8162,x8163),f38(x8164,x8162,x8163),x8163),f38(f36(x8161,x8164,x8163),x8162,x8163))
% 2.36/2.38 [817]~P28(x8173)+E(f36(f24(x8171,x8172,x8173),f24(x8174,x8172,x8173),x8173),f24(f36(x8171,x8174,x8173),x8172,x8173))
% 2.36/2.38 [818]~P28(x8183)+E(f38(f24(x8181,x8182,x8183),f24(x8184,x8182,x8183),x8183),f24(f38(x8181,x8184,x8183),x8182,x8183))
% 2.36/2.38 [840]~P38(f41(x8401,x8403,x8404))+P38(f41(x8401,f39(x8402,x8403,x8404),x8404))
% 2.36/2.38 [852]~P37(x8524)+E(f32(x8521,f13(a35,x8522),x8523,x8524),f32(x8521,x8522,f13(x8521,x8523),x8524))
% 2.36/2.38 [853]~P12(x8531,f39(x8532,x8534,f45(x8533)),x8533)+P12(x8531,f39(x8532,f37(f46(f45(x8533),a2)),f45(x8533)),x8533)
% 2.36/2.38 [861]P15(f8(x8611),x8612,f13(a35,x8613),x8614)+~P15(f34(f7(x8611),a44),x8612,x8613,x8614)
% 2.36/2.38 [886]~P15(f8(x8861),x8863,x8862,x8864)+E(f13(a35,f33(x8861,x8862,x8863,x8864)),x8862)
% 2.36/2.38 [887]~P1(x8874)+P16(f36(x8871,f38(x8872,x8873,x8874),x8874),f38(f36(x8871,x8872,x8874),f36(x8871,x8873,x8874),x8874),x8874)
% 2.36/2.38 [888]~P1(x8883)+P16(f36(f38(x8881,x8882,x8883),f38(x8881,x8884,x8883),x8883),f38(x8881,f36(x8882,x8884,x8883),x8883),x8883)
% 2.36/2.38 [895]~P15(f8(x8951),x8952,x8953,x8954)+P15(f34(f7(x8951),a44),x8952,f33(x8951,x8953,x8952,x8954),x8954)
% 2.36/2.38 [905]P13(x9051,f27(x9052,x9053,x9054,a12),a12)+P38(f13(f13(x9052,f57(x9052,x9054,x9053,x9051)),f56(x9052,x9054,x9053,x9051)))
% 2.36/2.38 [913]P13(x9131,f27(x9132,x9133,x9134,a12),a12)+~P38(f13(f13(x9134,f57(x9132,x9134,x9133,x9131)),f58(x9132,x9134,x9133,x9131)))
% 2.36/2.38 [850]~P18(x8504)+E(f15(f24(x8501,f15(x8502,x8503,x8504),x8504),x8503,x8504),f15(f24(x8501,x8502,x8504),x8503,x8504))
% 2.36/2.38 [851]~P18(x8513)+E(f15(f24(f15(x8511,x8512,x8513),x8514,x8513),x8512,x8513),f15(f24(x8511,x8514,x8513),x8512,x8513))
% 2.36/2.38 [865]~P18(x8653)+E(f15(f24(f15(x8651,x8652,x8653),f15(x8654,x8652,x8653),x8653),x8652,x8653),f15(f24(x8651,x8654,x8653),x8652,x8653))
% 2.36/2.38 [904]P38(f13(x9041,f13(x9042,x9043)))+~P38(f13(x9041,f26(x9044,x9042,f13(a35,x9043),a12)))
% 2.36/2.38 [701]~P4(x7011)+E(f13(f13(f23(x7011),x7012),f13(f13(f23(x7011),x7013),x7014)),f13(f13(f23(x7011),x7013),f13(f13(f23(x7011),x7012),x7014)))
% 2.36/2.38 [702]~P33(x7021)+E(f13(f13(f23(x7021),x7022),f13(f13(f23(x7021),x7023),x7024)),f13(f13(f23(x7021),x7023),f13(f13(f23(x7021),x7022),x7024)))
% 2.36/2.38 [703]~P20(x7031)+E(f13(f13(f23(x7031),x7032),f13(f13(f23(x7031),x7033),x7034)),f13(f13(f23(x7031),x7033),f13(f13(f23(x7031),x7032),x7034)))
% 2.36/2.38 [844]~P3(x8441)+E(f36(f13(f13(f23(x8441),x8442),x8443),f13(f13(f23(x8441),x8444),x8443),x8441),f13(f13(f23(x8441),f36(x8442,x8444,x8441)),x8443))
% 2.36/2.38 [845]~P3(x8451)+E(f38(f13(f13(f23(x8451),x8452),x8453),f13(f13(f23(x8451),x8454),x8453),x8451),f13(f13(f23(x8451),f38(x8452,x8454,x8451)),x8453))
% 2.36/2.38 [849]~P5(x8491)+E(f15(f13(f13(f23(x8491),x8492),f15(x8493,x8494,x8491)),x8494,x8491),f15(f13(f13(f23(x8491),x8492),x8493),x8494,x8491))
% 2.36/2.38 [864]~P5(x8641)+E(f15(f13(f13(f23(x8641),f15(x8642,x8643,x8641)),x8644),x8643,x8641),f15(f13(f13(f23(x8641),x8642),x8644),x8643,x8641))
% 2.36/2.38 [889]~P5(x8891)+E(f15(f13(f13(f23(x8891),f15(x8892,x8893,x8891)),f15(x8894,x8893,x8891)),x8893,x8891),f15(f13(f13(f23(x8891),x8892),x8894),x8893,x8891))
% 2.36/2.38 [918]~P4(x9181)+E(f13(f13(f23(x9181),f40(f25(x9181),f23(x9181),x9182,x9183,x9181)),f40(f25(x9181),f23(x9181),x9182,x9184,x9181)),f40(f25(x9181),f23(x9181),x9182,f13(f13(f23(a1),x9183),x9184),x9181))
% 2.36/2.38 [919]~P4(x9191)+E(f13(f13(f23(x9191),f40(f25(x9191),f23(x9191),x9192,x9193,x9191)),f40(f25(x9191),f23(x9191),x9194,x9193,x9191)),f40(f25(x9191),f23(x9191),f13(f13(f23(x9191),x9192),x9194),x9193,x9191))
% 2.36/2.38 [804]~P4(x8041)+E(f13(f13(f23(x8041),f13(f13(f23(x8041),x8042),x8043)),x8044),f13(f13(f23(x8041),x8042),f13(f13(f23(x8041),x8043),x8044)))
% 2.36/2.38 [805]~P33(x8051)+E(f13(f13(f23(x8051),f13(f13(f23(x8051),x8052),x8053)),x8054),f13(f13(f23(x8051),x8052),f13(f13(f23(x8051),x8053),x8054)))
% 2.36/2.38 [806]~P19(x8061)+E(f13(f13(f23(x8061),f13(f13(f23(x8061),x8062),x8063)),x8064),f13(f13(f23(x8061),x8062),f13(f13(f23(x8061),x8063),x8064)))
% 2.36/2.38 [843]~P33(x8431)+E(f13(f13(f23(x8431),f13(f13(f23(x8431),x8432),x8433)),x8434),f13(f13(f23(x8431),f13(f13(f23(x8431),x8432),x8434)),x8433))
% 2.36/2.38 [876]P10(x8761,x8762,x8763,x8764)+~P10(x8761,f39(x8765,x8762,x8763),x8763,x8764)
% 2.36/2.38 [906]P12(x9061,f39(f27(x9062,f8(x9063),x9064,x9065),f37(f46(f45(x9065),a2)),f45(x9065)),x9065)+~P12(x9061,f39(f27(x9062,f34(f7(x9063),a44),x9064,x9065),f37(f46(f45(x9065),a2)),f45(x9065)),x9065)
% 2.36/2.38 [914]P12(x9141,f39(f27(x9142,f8(x9143),x9144,x9145),f37(f46(f45(x9145),a2)),f45(x9145)),x9145)+~P12(f39(f27(x9142,f8(x9143),x9144,x9145),x9141,f45(x9145)),f39(f27(x9142,f34(f7(x9143),a44),x9144,x9145),f37(f46(f45(x9145),a2)),f45(x9145)),x9145)
% 2.36/2.38 [899]~P13(f13(a35,x8991),f27(x8992,f8(x8993),x8994,x8995),x8995)+P13(x8991,f27(x8992,f34(f7(x8993),a44),x8994,x8995),x8995)
% 2.36/2.38 [900]P13(f13(a35,x9001),f27(x9002,f8(x9003),x9004,x9005),x9005)+~P13(x9001,f27(x9002,f34(f7(x9003),a44),x9004,x9005),x9005)
% 2.36/2.38 [862]~P33(x8621)+E(f13(f13(f23(x8621),f13(f13(f23(x8621),x8622),x8623)),f13(f13(f23(x8621),x8624),x8625)),f13(f13(f23(x8621),f13(f13(f23(x8621),x8622),x8624)),f13(f13(f23(x8621),x8623),x8625)))
% 2.36/2.38 [912]~P38(f13(x9121,f28(x9122,f27(x9123,x9124,x9125,a43),a43,a12)))+P38(f13(x9121,f13(f13(f13(x9122,x9123),x9124),x9125)))
% 2.36/2.38 [566]E(x5661,x5662)+~E(f10(x5663,x5664,x5661),f10(x5665,x5666,x5662))
% 2.36/2.38 [567]E(x5671,x5672)+~E(f11(x5673,x5674,x5671),f11(x5675,x5676,x5672))
% 2.36/2.38 [568]E(x5681,x5682)+~E(f9(x5683,x5684,x5681),f9(x5685,x5686,x5682))
% 2.36/2.38 [569]E(x5691,x5692)+~E(f10(x5693,x5691,x5694),f10(x5695,x5692,x5696))
% 2.36/2.38 [570]E(x5701,x5702)+~E(f11(x5703,x5701,x5704),f11(x5705,x5702,x5706))
% 2.36/2.38 [571]E(x5711,x5712)+~E(f9(x5713,x5711,x5714),f9(x5715,x5712,x5716))
% 2.36/2.38 [572]E(x5721,x5722)+~E(f10(x5721,x5723,x5724),f10(x5722,x5725,x5726))
% 2.36/2.38 [573]E(x5731,x5732)+~E(f11(x5731,x5733,x5734),f11(x5732,x5735,x5736))
% 2.36/2.38 [574]E(x5741,x5742)+~E(f9(x5741,x5743,x5744),f9(x5742,x5745,x5746))
% 2.36/2.38 [868]E(x8681,x8682)+~E(f27(x8683,x8684,x8681,x8685),f27(x8686,x8687,x8682,x8685))
% 2.36/2.38 [869]E(x8691,x8692)+~E(f27(x8693,x8691,x8694,x8695),f27(x8696,x8692,x8697,x8695))
% 2.36/2.38 [870]E(x8701,x8702)+~E(f27(x8701,x8703,x8704,x8705),f27(x8702,x8706,x8707,x8705))
% 2.36/2.38 [908]~E(f20(x9081,x9082,x9085,x9086,x9087),f20(f14(x9086),x9084,x9086,x9086,x9087))+E(f13(x9081,f13(x9082,x9083)),f13(x9084,x9083))
% 2.36/2.38 [921]~P11(x9214,x9211,x9215,x9216,x9212,x9217)+E(f13(f13(x9211,x9212),x9213),x9213)
% 2.36/2.38 [922]~P11(x9224,x9221,x9225,x9223,x9226,x9227)+E(f13(f13(x9221,x9222),x9223),x9223)
% 2.36/2.38 [924]~P11(x9241,x9244,x9245,x9242,x9246,x9247)+E(f13(f13(x9241,x9242),x9243),x9243)
% 2.36/2.38 [925]~P11(x9254,x9251,x9255,x9256,x9253,x9257)+E(f13(f13(x9251,x9252),x9253),x9252)
% 2.36/2.38 [927]~P11(x9274,x9271,x9275,x9272,x9276,x9277)+E(f13(f13(x9271,x9272),x9273),x9272)
% 2.36/2.38 [928]~P11(x9281,x9284,x9285,x9283,x9286,x9287)+E(f13(f13(x9281,x9282),x9283),x9282)
% 2.36/2.38 [929]~P11(x9294,x9295,x9291,x9296,x9293,x9297)+E(f13(f13(x9291,x9292),f25(a1)),x9293)
% 2.36/2.38 [937]~P11(x9371,x9373,x9375,x9376,x9374,x9377)+E(f13(f13(x9371,x9372),x9372),f13(f13(x9373,f13(f13(x9371,x9374),x9374)),x9372))
% 2.36/2.38 [931]~P11(x9314,x9311,x9315,x9316,x9317,x9318)+E(f13(f13(x9311,x9312),x9313),f13(f13(x9311,x9313),x9312))
% 2.36/2.38 [933]~P11(x9331,x9334,x9335,x9336,x9337,x9338)+E(f13(f13(x9331,x9332),x9333),f13(f13(x9331,x9333),x9332))
% 2.36/2.38 [936]~P11(x9365,x9361,x9363,x9366,x9367,x9368)+E(f13(f13(x9361,x9362),f13(f13(x9363,x9362),x9364)),f13(f13(x9363,x9362),f13(a35,x9364)))
% 2.36/2.38 [940]~P11(x9405,x9401,x9402,x9406,x9407,x9408)+E(f13(f13(x9401,f13(f13(x9402,x9403),x9404)),x9403),f13(f13(x9402,x9403),f13(a35,x9404)))
% 2.36/2.38 [941]~P11(x9411,x9413,x9416,x9417,x9415,x9418)+E(f13(f13(x9411,x9412),f13(f13(x9413,x9414),x9412)),f13(f13(x9413,f13(f13(x9411,x9414),x9415)),x9412))
% 2.36/2.38 [948]~P11(x9481,x9482,x9486,x9487,x9485,x9488)+E(f13(f13(x9481,f13(f13(x9482,x9483),x9484)),x9484),f13(f13(x9482,f13(f13(x9481,x9483),x9485)),x9484))
% 2.36/2.38 [909]~E(f20(x9091,x9092,x9096,x9097,x9098),f20(x9094,x9095,x9099,x9097,x9098))+E(f13(x9091,f13(x9092,x9093)),f13(x9094,f13(x9095,x9093)))
% 2.36/2.38 [938]~P11(x9385,x9381,x9386,x9387,x9388,x9389)+E(f13(f13(x9381,x9382),f13(f13(x9381,x9383),x9384)),f13(f13(x9381,x9383),f13(f13(x9381,x9382),x9384)))
% 2.36/2.38 [939]~P11(x9391,x9395,x9396,x9397,x9398,x9399)+E(f13(f13(x9391,x9392),f13(f13(x9391,x9393),x9394)),f13(f13(x9391,x9393),f13(f13(x9391,x9392),x9394)))
% 2.36/2.38 [951]~P11(x9511,x9512,x9516,x9517,x9518,x9519)+E(f13(f13(x9511,f13(f13(x9512,x9513),x9514)),f13(f13(x9512,x9513),x9515)),f13(f13(x9512,x9513),f13(f13(x9511,x9514),x9515)))
% 2.36/2.38 [946]~P11(x9465,x9461,x9466,x9467,x9468,x9469)+E(f13(f13(x9461,f13(f13(x9461,x9462),x9463)),x9464),f13(f13(x9461,x9462),f13(f13(x9461,x9463),x9464)))
% 2.36/2.38 [947]~P11(x9471,x9475,x9476,x9477,x9478,x9479)+E(f13(f13(x9471,f13(f13(x9471,x9472),x9473)),x9474),f13(f13(x9471,x9472),f13(f13(x9471,x9473),x9474)))
% 2.36/2.38 [949]~P11(x9495,x9491,x9496,x9497,x9498,x9499)+E(f13(f13(x9491,f13(f13(x9491,x9492),x9493)),x9494),f13(f13(x9491,f13(f13(x9491,x9492),x9494)),x9493))
% 2.36/2.38 [950]~P11(x9501,x9505,x9506,x9507,x9508,x9509)+E(f13(f13(x9501,f13(f13(x9501,x9502),x9503)),x9504),f13(f13(x9501,f13(f13(x9501,x9502),x9504)),x9503))
% 2.36/2.38 [952]~P11(x9526,x9521,x9522,x9527,x9528,x9529)+E(f13(f13(x9521,f13(f13(x9522,x9523),x9524)),f13(f13(x9522,x9523),x9525)),f13(f13(x9522,x9523),f13(f13(f23(a1),x9524),x9525)))
% 2.36/2.38 [953]~P11(x9536,x9531,x9532,x9537,x9538,x9539)+E(f13(f13(x9531,f13(f13(x9532,x9533),x9534)),f13(f13(x9532,x9535),x9534)),f13(f13(x9532,f13(f13(x9531,x9533),x9535)),x9534))
% 2.36/2.38 [955]~P11(x9551,x9552,x9556,x9557,x9558,x9559)+E(f13(f13(x9551,f13(f13(x9552,x9553),x9554)),f13(f13(x9552,x9555),x9554)),f13(f13(x9552,f13(f13(x9551,x9553),x9555)),x9554))
% 2.36/2.38 [957]~P11(x9576,x9571,x9577,x9578,x9579,x95710)+E(f13(f13(x9571,f13(f13(x9571,x9572),x9573)),f13(f13(x9571,x9574),x9575)),f13(f13(x9571,f13(f13(x9571,x9572),x9574)),f13(f13(x9571,x9573),x9575)))
% 2.36/2.38 [958]~P11(x9581,x9586,x9587,x9588,x9589,x95810)+E(f13(f13(x9581,f13(f13(x9581,x9582),x9583)),f13(f13(x9581,x9584),x9585)),f13(f13(x9581,f13(f13(x9581,x9582),x9584)),f13(f13(x9581,x9583),x9585)))
% 2.36/2.38 [910]~E(f13(x9101,f13(x9102,x9106)),f13(x9107,f13(x9108,x91011)))+E(f13(f20(x9101,x9102,x9103,x9104,x9105),x9106),f13(f20(x9107,x9108,x9109,x9104,x91010),x91011))
% 2.36/2.38 [608]~P29(x6081)+~P16(f25(x6081),f25(x6081),x6081)+E(f13(f13(f23(x6081),f25(x6081)),f25(x6081)),f25(x6081))
% 2.36/2.38 [488]E(x4881,x4882)+P9(x4882,x4881,a1)+P9(x4881,x4882,a1)
% 2.36/2.38 [524]E(x5241,x5242)+P9(x5241,x5242,a1)+~P16(x5241,x5242,a1)
% 2.36/2.38 [560]E(x5601,x5602)+~P16(x5602,x5601,a1)+~P16(x5601,x5602,a1)
% 2.36/2.38 [434]~P6(x4342)+~P6(x4341)+P6(f19(x4341,x4342))
% 2.36/2.38 [465]~P35(x4652)+~P21(x4652)+E(f24(x4651,x4651,x4652),f25(x4652))
% 2.36/2.38 [578]~P9(x5781,x5782,a1)+E(f13(a35,x5781),x5782)+P9(f13(a35,x5781),x5782,a1)
% 2.36/2.38 [580]E(x5801,x5802)+P9(x5802,x5801,a1)+~P9(x5802,f13(a35,x5801),a1)
% 2.36/2.38 [582]E(x5821,x5822)+P9(x5821,x5822,a1)+~P9(x5821,f13(a35,x5822),a1)
% 2.36/2.38 [584]E(x5841,x5842)+~E(f24(x5842,x5841,a1),f25(a1))+~E(f24(x5841,x5842,a1),f25(a1))
% 2.36/2.38 [607]P16(x6071,x6072,a1)+E(x6071,f13(a35,x6072))+~P16(x6071,f13(a35,x6072),a1)
% 2.36/2.38 [616]E(x6161,x6162)+~P16(x6162,x6161,a1)+~P9(x6161,f13(a35,x6162),a1)
% 2.36/2.38 [739]P9(f24(x7391,x7392,a1),x7391,a1)+~P9(f25(a1),x7392,a1)+~P9(f25(a1),x7391,a1)
% 2.36/2.38 [466]~P35(x4661)+~P21(x4661)+E(f13(f13(f23(x4661),x4662),f25(x4661)),x4662)
% 2.36/2.38 [479]~P27(x4792)+E(x4791,f25(x4792))+~E(f13(f13(f23(x4792),x4791),x4791),f25(x4792))
% 2.36/2.38 [484]E(x4841,f25(a1))+E(x4842,f25(a1))+~E(f13(f13(f23(a1),x4842),x4841),f13(a35,f25(a1)))
% 2.36/2.38 [502]E(x5021,f25(a1))+E(x5021,f13(a35,f25(a1)))+~E(f13(f13(f23(a1),x5022),x5021),f13(a35,f25(a1)))
% 2.36/2.38 [503]E(x5031,f25(a1))+E(x5031,f13(a35,f25(a1)))+~E(f13(f13(f23(a1),x5031),x5032),f13(a35,f25(a1)))
% 2.36/2.38 [516]E(x5161,f13(a35,f25(a1)))+E(x5162,f13(a35,f25(a1)))+~E(f13(f13(f23(a1),x5162),x5161),f13(a35,f25(a1)))
% 2.36/2.38 [678]~P27(x6781)+~P9(f25(x6781),x6782,x6781)+P9(f25(x6781),f13(f13(f23(x6781),x6782),x6782),x6781)
% 2.36/2.38 [679]~P27(x6791)+~P16(f25(x6791),x6792,x6791)+P16(f25(x6791),f13(f13(f23(x6791),x6792),x6792),x6791)
% 2.36/2.38 [680]~P27(x6801)+~P9(x6802,f25(x6801),x6801)+P9(f13(f13(f23(x6801),x6802),x6802),f25(x6801),x6801)
% 2.36/2.38 [681]~P36(x6811)+~P9(x6812,f25(x6811),x6811)+P9(f13(f13(f23(x6811),x6812),x6812),f25(x6811),x6811)
% 2.36/2.38 [682]~P27(x6821)+~P16(x6822,f25(x6821),x6821)+P16(f13(f13(f23(x6821),x6822),x6822),f25(x6821),x6821)
% 2.36/2.38 [725]~P27(x7252)+P9(x7251,f25(x7252),x7252)+~P9(f13(f13(f23(x7252),x7251),x7251),f25(x7252),x7252)
% 2.36/2.38 [726]~P36(x7262)+P9(x7261,f25(x7262),x7262)+~P9(f13(f13(f23(x7262),x7261),x7261),f25(x7262),x7262)
% 2.36/2.38 [727]~P27(x7272)+P16(x7271,f25(x7272),x7272)+~P16(f13(f13(f23(x7272),x7271),x7271),f25(x7272),x7272)
% 2.36/2.38 [728]~P27(x7281)+P9(f25(x7281),x7282,x7281)+~P9(f25(x7281),f13(f13(f23(x7281),x7282),x7282),x7281)
% 2.36/2.38 [729]~P27(x7291)+P16(f25(x7291),x7292,x7291)+~P16(f25(x7291),f13(f13(f23(x7291),x7292),x7292),x7291)
% 2.36/2.38 [754]P9(f25(a1),x7541,a1)+P9(f25(a1),x7542,a1)+~P9(f25(a1),f13(f13(f23(a1),x7541),x7542),a1)
% 2.36/2.38 [497]P16(x4972,x4971,x4973)+~P1(x4973)+P9(x4971,x4972,x4973)
% 2.36/2.38 [499]P16(x4992,x4991,x4993)+~P1(x4993)+P16(x4991,x4992,x4993)
% 2.36/2.38 [529]~P31(x5293)+~P9(x5291,x5292,x5293)+P16(x5291,x5292,x5293)
% 2.36/2.38 [530]~P32(x5303)+~P9(x5301,x5302,x5303)+P16(x5301,x5302,x5303)
% 2.36/2.38 [588]~P9(x5883,x5882,x5881)+~P1(x5881)+~P9(x5882,x5883,x5881)
% 2.36/2.38 [590]~P16(x5903,x5902,x5901)+~P1(x5901)+~P9(x5902,x5903,x5901)
% 2.36/2.38 [593]~P9(x5933,x5932,x5931)+~P31(x5931)+~P9(x5932,x5933,x5931)
% 2.36/2.38 [594]~P16(x5943,x5942,x5941)+~P31(x5941)+~P9(x5942,x5943,x5941)
% 2.36/2.38 [595]~P9(x5953,x5952,x5951)+~P32(x5951)+~P9(x5952,x5953,x5951)
% 2.36/2.38 [621]~P16(x6211,x6213,a1)+P16(x6211,x6212,a1)+~P16(x6213,x6212,a1)
% 2.36/2.38 [480]~P26(x4803)+E(x4801,x4802)+~E(f24(x4801,x4802,x4803),f25(x4803))
% 2.36/2.38 [481]~P20(x4813)+E(x4811,x4812)+~E(f24(x4811,x4812,x4813),f25(x4813))
% 2.36/2.38 [510]~P6(x5103)+~P6(x5102)+P6(f11(x5101,x5102,x5103))
% 2.36/2.38 [531]~P1(x5313)+~P16(x5311,x5312,x5313)+E(f36(x5311,x5312,x5313),x5312)
% 2.36/2.38 [532]~P1(x5323)+~P16(x5322,x5321,x5323)+E(f36(x5321,x5322,x5323),x5321)
% 2.36/2.38 [533]~P1(x5333)+~P16(x5332,x5331,x5333)+E(f38(x5331,x5332,x5333),x5332)
% 2.36/2.38 [534]~P1(x5343)+~P16(x5341,x5342,x5343)+E(f38(x5341,x5342,x5343),x5341)
% 2.36/2.38 [535]~P1(x5353)+P16(x5351,x5352,x5353)+~E(f36(x5351,x5352,x5353),x5352)
% 2.36/2.38 [536]~P1(x5363)+P16(x5361,x5362,x5363)+~E(f38(x5361,x5362,x5363),x5361)
% 2.36/2.38 [652]~P9(x6521,x6523,a1)+~P9(x6523,x6522,a1)+P9(f13(a35,x6521),x6522,a1)
% 2.36/2.38 [673]~P28(x6733)+~P9(x6731,x6732,x6733)+P9(f24(x6731,x6732,x6733),f25(x6733),x6733)
% 2.36/2.38 [674]~P28(x6743)+~P16(x6741,x6742,x6743)+P16(f24(x6741,x6742,x6743),f25(x6743),x6743)
% 2.36/2.38 [730]~P28(x7303)+P9(x7301,x7302,x7303)+~P9(f24(x7301,x7302,x7303),f25(x7303),x7303)
% 2.36/2.38 [731]~P28(x7313)+P16(x7311,x7312,x7313)+~P16(f24(x7311,x7312,x7313),f25(x7313),x7313)
% 2.36/2.38 [811]~P9(x8111,x8113,a1)+~P16(x8112,x8111,a1)+P9(f24(x8111,x8112,a1),f24(x8113,x8112,a1),a1)
% 2.36/2.38 [812]~P9(x8123,x8122,a1)+~P9(x8123,x8121,a1)+P9(f24(x8121,x8122,a1),f24(x8121,x8123,a1),a1)
% 2.36/2.38 [650]~P32(x6503)+~P7(x6501,a1,x6503)+P16(f13(x6501,x6502),f13(x6501,f13(a35,x6502)),x6503)
% 2.36/2.38 [720]P14(x7201,x7202,a12)+P13(f53(x7201,x7202),x7203,a12)+~P38(f41(x7203,x7201,f45(a12)))
% 2.36/2.38 [797]P13(x7971,x7972,a12)+~P13(f13(a35,x7971),f55(x7971,x7973),a12)+~P38(f41(x7972,x7973,f45(a12)))
% 2.36/2.38 [800]P13(x8001,x8002,a12)+~P38(f41(x8002,x8003,f45(a12)))+P38(f41(f55(x8001,x8003),x8003,f45(a12)))
% 2.36/2.38 [835]~P16(x8352,x8353,a1)+~P16(x8352,x8351,a1)+E(f24(f24(x8351,x8352,a1),f24(x8353,x8352,a1),a1),f24(x8351,x8353,a1))
% 2.36/2.38 [837]~P9(x8372,x8373,a1)+~P38(f13(x8371,f24(x8372,x8373,a1)))+P38(f13(x8371,f25(a1)))
% 2.36/2.38 [827]~P16(x8273,x8272,a1)+P16(x8271,f24(x8272,x8273,a1),a1)+~P16(f13(f13(f23(a1),x8271),x8273),x8272,a1)
% 2.36/2.38 [832]~P16(x8322,x8323,a1)+~P16(x8321,f24(x8323,x8322,a1),a1)+P16(f13(f13(f23(a1),x8321),x8322),x8323,a1)
% 2.36/2.38 [579]~P8(x5793,x5794,x5791)+E(x5791,x5792)+~P8(x5793,x5794,x5792)
% 2.36/2.38 [633]~P12(x6331,x6334,x6333)+P12(x6331,x6332,x6333)+~P12(x6334,x6332,x6333)
% 2.36/2.38 [546]E(x5461,x5462)+~P8(f18(x5463,x5464),x5461,x5462)+P38(f13(x5463,x5461))
% 2.36/2.38 [596]~P20(x5964)+E(x5961,x5962)+~E(f24(x5963,x5963,x5964),f24(x5961,x5962,x5964))
% 2.36/2.38 [597]~P20(x5973)+E(x5971,x5972)+~E(f24(x5971,x5972,x5973),f24(x5974,x5974,x5973))
% 2.36/2.38 [657]~P1(x6574)+~P9(x6571,x6573,x6574)+P9(x6571,f36(x6572,x6573,x6574),x6574)
% 2.36/2.38 [659]~P1(x6594)+~P9(x6591,x6592,x6594)+P9(x6591,f36(x6592,x6593,x6594),x6594)
% 2.36/2.38 [661]~P1(x6614)+~P16(x6611,x6613,x6614)+P16(x6611,f36(x6612,x6613,x6614),x6614)
% 2.36/2.38 [663]~P1(x6634)+~P16(x6631,x6632,x6634)+P16(x6631,f36(x6632,x6633,x6634),x6634)
% 2.36/2.38 [665]~P1(x6653)+~P9(x6652,x6654,x6653)+P9(f38(x6651,x6652,x6653),x6654,x6653)
% 2.36/2.38 [667]~P1(x6673)+~P9(x6671,x6674,x6673)+P9(f38(x6671,x6672,x6673),x6674,x6673)
% 2.36/2.38 [669]~P1(x6693)+~P16(x6692,x6694,x6693)+P16(f38(x6691,x6692,x6693),x6694,x6693)
% 2.36/2.38 [671]~P1(x6713)+~P16(x6711,x6714,x6713)+P16(f38(x6711,x6712,x6713),x6714,x6713)
% 2.36/2.38 [704]~P1(x7043)+P9(x7041,x7042,x7043)+~P9(x7041,f38(x7044,x7042,x7043),x7043)
% 2.36/2.38 [705]~P1(x7053)+P9(x7051,x7052,x7053)+~P9(x7051,f38(x7052,x7054,x7053),x7053)
% 2.36/2.38 [707]~P1(x7073)+P16(x7071,x7072,x7073)+~P16(x7071,f38(x7074,x7072,x7073),x7073)
% 2.36/2.38 [709]~P1(x7093)+P16(x7091,x7092,x7093)+~P16(x7091,f38(x7092,x7094,x7093),x7093)
% 2.36/2.38 [710]~P1(x7103)+P9(x7101,x7102,x7103)+~P9(f36(x7104,x7101,x7103),x7102,x7103)
% 2.36/2.38 [711]~P1(x7113)+P9(x7111,x7112,x7113)+~P9(f36(x7111,x7114,x7113),x7112,x7113)
% 2.36/2.38 [713]~P1(x7133)+P16(x7131,x7132,x7133)+~P16(f36(x7134,x7131,x7133),x7132,x7133)
% 2.36/2.38 [715]~P1(x7153)+P16(x7151,x7152,x7153)+~P16(f36(x7151,x7154,x7153),x7152,x7153)
% 2.36/2.38 [801]E(x8011,x8012)+P38(f13(x8013,x8011))+~P38(f13(f39(x8012,x8013,x8014),x8011))
% 2.36/2.38 [854]E(x8541,x8542)+P38(f41(x8541,x8543,x8544))+~P38(f41(x8541,f39(x8542,x8543,x8544),x8544))
% 2.36/2.38 [866]~P12(x8661,x8663,x8664)+P12(x8661,f39(x8662,x8663,f45(x8664)),x8664)+~P12(x8661,f39(x8662,f37(f46(f45(x8664),a2)),f45(x8664)),x8664)
% 2.36/2.38 [575]~P22(x5753)+E(x5751,x5752)+~E(f13(f13(f23(x5753),x5754),x5751),f13(f13(f23(x5753),x5754),x5752))
% 2.36/2.38 [576]~P23(x5763)+E(x5761,x5762)+~E(f13(f13(f23(x5763),x5764),x5761),f13(f13(f23(x5763),x5764),x5762))
% 2.36/2.38 [577]~P23(x5773)+E(x5771,x5772)+~E(f13(f13(f23(x5773),x5771),x5774),f13(f13(f23(x5773),x5772),x5774))
% 2.36/2.38 [689]~P9(x6894,x6893,a1)+P9(x6891,x6892,a1)+~E(f13(f13(f23(a1),x6891),x6893),f13(f13(f23(a1),x6894),x6892))
% 2.36/2.38 [758]~P3(x7581)+~P9(x7582,x7584,x7581)+P9(f13(f13(f23(x7581),x7582),x7583),f13(f13(f23(x7581),x7584),x7583),x7581)
% 2.36/2.38 [759]~P30(x7591)+~P9(x7592,x7594,x7591)+P9(f13(f13(f23(x7591),x7592),x7593),f13(f13(f23(x7591),x7594),x7593),x7591)
% 2.36/2.38 [760]~P3(x7601)+~P9(x7603,x7604,x7601)+P9(f13(f13(f23(x7601),x7602),x7603),f13(f13(f23(x7601),x7602),x7604),x7601)
% 2.36/2.38 [761]~P30(x7611)+~P9(x7613,x7614,x7611)+P9(f13(f13(f23(x7611),x7612),x7613),f13(f13(f23(x7611),x7612),x7614),x7611)
% 2.36/2.38 [762]~P3(x7621)+~P16(x7622,x7624,x7621)+P16(f13(f13(f23(x7621),x7622),x7623),f13(f13(f23(x7621),x7624),x7623),x7621)
% 2.36/2.38 [763]~P24(x7631)+~P16(x7632,x7634,x7631)+P16(f13(f13(f23(x7631),x7632),x7633),f13(f13(f23(x7631),x7634),x7633),x7631)
% 2.36/2.38 [764]~P3(x7641)+~P16(x7643,x7644,x7641)+P16(f13(f13(f23(x7641),x7642),x7643),f13(f13(f23(x7641),x7642),x7644),x7641)
% 2.36/2.38 [765]~P24(x7651)+~P16(x7653,x7654,x7651)+P16(f13(f13(f23(x7651),x7652),x7653),f13(f13(f23(x7651),x7652),x7654),x7651)
% 2.36/2.38 [798]~P9(x7982,x7984,a1)+~P9(x7981,x7983,a1)+P9(f13(f13(f23(a1),x7981),x7982),f13(f13(f23(a1),x7983),x7984),a1)
% 2.36/2.38 [799]~P16(x7992,x7994,a1)+~P16(x7991,x7993,a1)+P16(f13(f13(f23(a1),x7991),x7992),f13(f13(f23(a1),x7993),x7994),a1)
% 2.36/2.38 [828]~P3(x8283)+P9(x8281,x8282,x8283)+~P9(f13(f13(f23(x8283),x8284),x8281),f13(f13(f23(x8283),x8284),x8282),x8283)
% 2.36/2.38 [829]~P3(x8293)+P9(x8291,x8292,x8293)+~P9(f13(f13(f23(x8293),x8291),x8294),f13(f13(f23(x8293),x8292),x8294),x8293)
% 2.36/2.38 [830]~P3(x8303)+P16(x8301,x8302,x8303)+~P16(f13(f13(f23(x8303),x8304),x8301),f13(f13(f23(x8303),x8304),x8302),x8303)
% 2.36/2.38 [831]~P3(x8313)+P16(x8311,x8312,x8313)+~P16(f13(f13(f23(x8313),x8311),x8314),f13(f13(f23(x8313),x8312),x8314),x8313)
% 2.36/2.38 [860]~P15(x8601,x8602,x8605,x8604)+P15(x8601,x8602,x8603,x8604)+~P16(x8605,x8603,a1)
% 2.36/2.38 [655]~P8(x6551,x6553,x6555)+~P8(x6552,x6555,x6554)+P8(f19(x6551,x6552),x6553,x6554)
% 2.36/2.38 [685]~P8(x6854,x6852,x6855)+P8(f11(x6851,x6853,x6854),x6852,x6855)+P38(f13(x6851,x6852))
% 2.36/2.38 [696]~P8(x6962,x6964,x6965)+P8(f11(x6961,x6962,x6963),x6964,x6965)+~P38(f13(x6961,x6964))
% 2.36/2.38 [744]P8(x7441,x7442,x7443)+~P8(f11(x7444,x7445,x7441),x7442,x7443)+P38(f13(x7444,x7442))
% 2.36/2.38 [770]P8(x7701,x7702,x7703)+~P8(f11(x7704,x7701,x7705),x7702,x7703)+~P38(f13(x7704,x7702))
% 2.36/2.38 [779]P8(x7791,x7792,x7793)+P8(x7794,x7792,x7793)+~P8(f11(x7795,x7791,x7794),x7792,x7793)
% 2.36/2.38 [826]E(x8261,x8262)+~P15(f18(x8263,x8264),x8261,x8265,x8262)+P38(f13(x8263,x8261))
% 2.36/2.38 [791]~P20(x7911)+E(f13(f13(f23(x7911),x7912),x7913),x7914)+~E(f13(f13(f23(x7911),x7912),f13(f13(f23(x7911),x7915),x7913)),f13(f13(f23(x7911),x7915),x7914))
% 2.36/2.38 [879]E(x8791,x8792)+E(x8791,x8793)+~E(f39(x8794,f39(x8791,f37(f46(x8795,a2)),x8795),x8795),f39(x8793,f39(x8792,f37(f46(x8795,a2)),x8795),x8795))
% 2.36/2.38 [880]E(x8801,x8802)+E(x8803,x8802)+~E(f39(x8803,f39(x8801,f37(f46(x8804,a2)),x8804),x8804),f39(x8805,f39(x8802,f37(f46(x8804,a2)),x8804),x8804))
% 2.36/2.38 [881]E(x8811,x8812)+E(x8813,x8812)+~E(f39(x8813,f39(x8811,f37(f46(x8814,a2)),x8814),x8814),f39(x8812,f39(x8815,f37(f46(x8814,a2)),x8814),x8814))
% 2.36/2.38 [882]E(x8821,x8822)+E(x8821,x8823)+~E(f39(x8821,f39(x8824,f37(f46(x8825,a2)),x8825),x8825),f39(x8823,f39(x8822,f37(f46(x8825,a2)),x8825),x8825))
% 2.36/2.38 [867]~P15(x8674,x8672,x8675,x8676)+P15(f11(x8671,x8673,x8674),x8672,x8675,x8676)+P38(f13(x8671,x8672))
% 2.36/2.38 [875]~P15(x8752,x8754,x8755,x8756)+P15(f11(x8751,x8752,x8753),x8754,x8755,x8756)+~P38(f13(x8751,x8754))
% 2.36/2.38 [878]P15(x8783,x8782,x8784,x8785)+~P15(f11(x8781,x8786,x8783),x8782,x8784,x8785)+P38(f13(x8781,x8782))
% 2.36/2.38 [884]P15(x8841,x8842,x8843,x8844)+~P15(f11(x8845,x8841,x8846),x8842,x8843,x8844)+~P38(f13(x8845,x8842))
% 2.36/2.38 [892]~P15(x8921,x8923,x8924,x8926)+~P15(x8922,x8926,x8924,x8925)+P15(f19(x8921,x8922),x8923,x8924,x8925)
% 2.36/2.38 [893]P15(x8931,x8932,x8933,x8934)+P15(x8935,x8932,x8933,x8934)+~P15(f11(x8936,x8931,x8935),x8932,x8933,x8934)
% 2.36/2.38 [915]~P12(x9151,f39(f27(x9152,x9153,x9157,x9156),f37(f46(f45(x9156),a2)),f45(x9156)),x9156)+P12(x9151,f39(f27(x9152,f19(x9153,x9154),x9155,x9156),f37(f46(f45(x9156),a2)),f45(x9156)),x9156)+~P12(x9151,f39(f27(x9157,x9154,x9155,x9156),f37(f46(f45(x9156),a2)),f45(x9156)),x9156)
% 2.36/2.38 [508]P9(x5081,x5082,x5083)+~P1(x5083)+E(x5081,x5082)+P9(x5082,x5081,x5083)
% 2.36/2.38 [509]P9(x5091,x5092,x5093)+~P36(x5093)+E(x5091,x5092)+P9(x5092,x5091,x5093)
% 2.36/2.38 [538]~P1(x5383)+~P16(x5381,x5382,x5383)+E(x5381,x5382)+P9(x5381,x5382,x5383)
% 2.36/2.38 [544]~P32(x5443)+~P16(x5441,x5442,x5443)+E(x5441,x5442)+P9(x5441,x5442,x5443)
% 2.36/2.38 [601]~P16(x6012,x6011,x6013)+~P16(x6011,x6012,x6013)+E(x6011,x6012)+~P32(x6013)
% 2.36/2.38 [611]P16(x6112,x6111,x6113)+~P31(x6113)+~P16(x6111,x6112,x6113)+P9(x6111,x6112,x6113)
% 2.36/2.38 [486]~P35(x4863)+~P21(x4863)+E(x4861,x4862)+~E(f24(x4861,x4862,x4863),f25(x4863))
% 2.36/2.38 [741]E(x7411,x7412)+~P16(x7413,x7412,a1)+~P16(x7413,x7411,a1)+~E(f24(x7411,x7413,a1),f24(x7412,x7413,a1))
% 2.36/2.38 [855]~P16(x8553,x8551,a1)+P9(x8551,x8552,a1)+~P16(x8553,x8552,a1)+~P9(f24(x8551,x8553,a1),f24(x8552,x8553,a1),a1)
% 2.36/2.38 [856]~P16(x8563,x8561,a1)+P16(x8561,x8562,a1)+~P16(x8563,x8562,a1)+~P16(f24(x8561,x8563,a1),f24(x8562,x8563,a1),a1)
% 2.36/2.38 [482]~P35(x4822)+~P21(x4822)+E(x4821,f25(x4822))+~E(f13(f13(f23(x4822),x4823),x4821),x4823)
% 2.36/2.38 [771]~P29(x7711)+~P9(f25(x7711),x7713,x7711)+~P9(f25(x7711),x7712,x7711)+P9(f25(x7711),f13(f13(f23(x7711),x7712),x7713),x7711)
% 2.36/2.38 [772]~P29(x7721)+~P9(f25(x7721),x7723,x7721)+~P16(f25(x7721),x7722,x7721)+P9(f25(x7721),f13(f13(f23(x7721),x7722),x7723),x7721)
% 2.36/2.38 [773]~P29(x7731)+~P9(f25(x7731),x7732,x7731)+~P16(f25(x7731),x7733,x7731)+P9(f25(x7731),f13(f13(f23(x7731),x7732),x7733),x7731)
% 2.36/2.38 [774]~P29(x7741)+~P16(f25(x7741),x7743,x7741)+~P16(f25(x7741),x7742,x7741)+P16(f25(x7741),f13(f13(f23(x7741),x7742),x7743),x7741)
% 2.36/2.38 [775]~P29(x7751)+~P9(x7753,f25(x7751),x7751)+~P9(x7752,f25(x7751),x7751)+P9(f13(f13(f23(x7751),x7752),x7753),f25(x7751),x7751)
% 2.36/2.38 [776]~P29(x7761)+~P9(x7763,f25(x7761),x7761)+~P16(x7762,f25(x7761),x7761)+P9(f13(f13(f23(x7761),x7762),x7763),f25(x7761),x7761)
% 2.36/2.38 [777]~P29(x7771)+~P9(x7772,f25(x7771),x7771)+~P16(x7773,f25(x7771),x7771)+P9(f13(f13(f23(x7771),x7772),x7773),f25(x7771),x7771)
% 2.36/2.38 [778]~P29(x7781)+~P16(x7783,f25(x7781),x7781)+~P16(x7782,f25(x7781),x7781)+P16(f13(f13(f23(x7781),x7782),x7783),f25(x7781),x7781)
% 2.36/2.38 [636]~P31(x6363)+~P9(x6361,x6364,x6363)+P9(x6361,x6362,x6363)+~P9(x6364,x6362,x6363)
% 2.36/2.38 [637]~P31(x6373)+~P16(x6371,x6374,x6373)+P9(x6371,x6372,x6373)+~P9(x6374,x6372,x6373)
% 2.36/2.38 [638]~P31(x6383)+~P16(x6384,x6382,x6383)+P9(x6381,x6382,x6383)+~P9(x6381,x6384,x6383)
% 2.36/2.38 [639]~P32(x6393)+~P9(x6391,x6394,x6393)+P9(x6391,x6392,x6393)+~P9(x6394,x6392,x6393)
% 2.36/2.38 [640]~P32(x6403)+~P16(x6401,x6404,x6403)+P9(x6401,x6402,x6403)+~P9(x6404,x6402,x6403)
% 2.36/2.38 [641]~P32(x6413)+~P16(x6414,x6412,x6413)+P9(x6411,x6412,x6413)+~P9(x6411,x6414,x6413)
% 2.36/2.38 [642]~P31(x6423)+~P16(x6421,x6424,x6423)+P16(x6421,x6422,x6423)+~P16(x6424,x6422,x6423)
% 2.36/2.38 [643]~P32(x6433)+~P16(x6431,x6434,x6433)+P16(x6431,x6432,x6433)+~P16(x6434,x6432,x6433)
% 2.36/2.38 [745]~P1(x7454)+~P9(x7451,x7453,x7454)+~P9(x7451,x7452,x7454)+P9(x7451,f38(x7452,x7453,x7454),x7454)
% 2.36/2.38 [748]~P1(x7484)+~P16(x7481,x7483,x7484)+~P16(x7481,x7482,x7484)+P16(x7481,f38(x7482,x7483,x7484),x7484)
% 2.36/2.38 [749]~P1(x7493)+~P9(x7492,x7494,x7493)+~P9(x7491,x7494,x7493)+P9(f36(x7491,x7492,x7493),x7494,x7493)
% 2.36/2.38 [752]~P1(x7523)+~P16(x7522,x7524,x7523)+~P16(x7521,x7524,x7523)+P16(f36(x7521,x7522,x7523),x7524,x7523)
% 2.36/2.38 [782]~P1(x7823)+P9(x7821,x7822,x7823)+P9(x7821,x7824,x7823)+~P9(x7821,f36(x7822,x7824,x7823),x7823)
% 2.36/2.38 [783]~P1(x7833)+P16(x7831,x7832,x7833)+P16(x7831,x7834,x7833)+~P16(x7831,f36(x7832,x7834,x7833),x7833)
% 2.36/2.38 [784]~P1(x7843)+P9(x7841,x7842,x7843)+P9(x7844,x7842,x7843)+~P9(f38(x7841,x7844,x7843),x7842,x7843)
% 2.36/2.38 [785]~P1(x7853)+P16(x7851,x7852,x7853)+P16(x7854,x7852,x7853)+~P16(f38(x7851,x7854,x7853),x7852,x7853)
% 2.36/2.38 [796]E(x7961,x7962)+~E(f39(x7963,x7961,x7964),f39(x7963,x7962,x7964))+P38(f41(x7963,x7961,x7964))+P38(f41(x7963,x7962,x7964))
% 2.36/2.38 [825]P13(x8251,x8252,a12)+~P14(x8253,x8254,a12)+~P13(x8251,f54(x8253,x8251),a12)+~P38(f41(x8252,x8254,f45(a12)))
% 2.36/2.38 [836]P13(x8361,x8362,a12)+~P14(x8363,x8364,a12)+~P38(f41(x8362,x8364,f45(a12)))+P38(f41(f54(x8363,x8361),x8363,f45(a12)))
% 2.36/2.38 [598]~P35(x5983)+~P21(x5983)+E(x5981,x5982)+~E(f13(f13(f23(x5983),x5984),x5981),f13(f13(f23(x5983),x5984),x5982))
% 2.36/2.38 [757]~P34(x7572)+~P9(x7571,x7574,x7572)+~P9(f25(x7572),x7573,x7572)+P9(x7571,f13(f13(f23(x7572),x7573),x7574),x7572)
% 2.36/2.38 [721]~P28(x7213)+~P9(x7214,x7215,x7213)+P9(x7211,x7212,x7213)+~E(f24(x7214,x7215,x7213),f24(x7211,x7212,x7213))
% 2.36/2.38 [722]~P28(x7223)+~P9(x7224,x7225,x7223)+P9(x7221,x7222,x7223)+~E(f24(x7221,x7222,x7223),f24(x7224,x7225,x7223))
% 2.36/2.38 [723]~P28(x7233)+~P16(x7235,x7234,x7233)+P16(x7231,x7232,x7233)+~E(f24(x7234,x7235,x7233),f24(x7232,x7231,x7233))
% 2.36/2.38 [724]~P28(x7243)+~P16(x7245,x7244,x7243)+P16(x7241,x7242,x7243)+~E(f24(x7242,x7241,x7243),f24(x7244,x7245,x7243))
% 2.36/2.38 [753]~P8(x7532,x7533,x7535)+~P8(f18(x7531,x7532),x7535,x7534)+P8(f18(x7531,x7532),x7533,x7534)+~P38(f13(x7531,x7533))
% 2.36/2.38 [732]~P1(x7324)+~P1(x7325)+~P7(x7321,x7325,x7324)+E(f36(f13(x7321,x7322),f13(x7321,x7323),x7324),f13(x7321,f36(x7322,x7323,x7325)))
% 2.36/2.38 [733]~P1(x7334)+~P1(x7335)+~P7(x7331,x7335,x7334)+E(f38(f13(x7331,x7332),f13(x7331,x7333),x7334),f13(x7331,f38(x7332,x7333,x7335)))
% 2.36/2.38 [819]~P30(x8191)+~P9(x8193,x8195,x8191)+~P9(x8192,x8194,x8191)+P9(f13(f13(f23(x8191),x8192),x8193),f13(f13(f23(x8191),x8194),x8195),x8191)
% 2.36/2.38 [820]~P30(x8201)+~P9(x8203,x8205,x8201)+~P16(x8202,x8204,x8201)+P9(f13(f13(f23(x8201),x8202),x8203),f13(f13(f23(x8201),x8204),x8205),x8201)
% 2.36/2.38 [821]~P30(x8211)+~P9(x8212,x8214,x8211)+~P16(x8213,x8215,x8211)+P9(f13(f13(f23(x8211),x8212),x8213),f13(f13(f23(x8211),x8214),x8215),x8211)
% 2.36/2.38 [822]~P24(x8221)+~P16(x8223,x8225,x8221)+~P16(x8222,x8224,x8221)+P16(f13(f13(f23(x8221),x8222),x8223),f13(f13(f23(x8221),x8224),x8225),x8221)
% 2.36/2.38 [838]~P28(x8382)+~P16(x8385,x8384,x8382)+~P16(x8381,f13(f13(f23(x8382),x8383),x8385),x8382)+P16(x8381,f13(f13(f23(x8382),x8383),x8384),x8382)
% 2.36/2.38 [894]~P15(x8942,x8943,x8944,x8946)+~P15(f18(x8941,x8942),x8946,x8944,x8945)+P15(f18(x8941,x8942),x8943,x8944,x8945)+~P38(f13(x8941,x8943))
% 2.36/2.38 [859]~P18(x8593)+~E(f15(x8591,x8594,x8593),f15(x8595,x8594,x8593))+~E(f15(x8592,x8594,x8593),f15(x8596,x8594,x8593))+E(f15(f24(x8591,x8592,x8593),x8594,x8593),f15(f24(x8595,x8596,x8593),x8594,x8593))
% 2.36/2.38 [858]~P5(x8581)+~E(f15(x8582,x8584,x8581),f15(x8585,x8584,x8581))+~E(f15(x8583,x8584,x8581),f15(x8586,x8584,x8581))+E(f15(f13(f13(f23(x8581),x8582),x8583),x8584,x8581),f15(f13(f13(f23(x8581),x8585),x8586),x8584,x8581))
% 2.36/2.38 [898]~P15(x8984,x8985,x8986,x8983)+~P13(x8986,f27(x8987,x8984,x8981,a12),a12)+P38(f13(f13(x8981,x8982),x8983))+~P38(f13(f13(x8987,x8982),x8985))
% 2.36/2.38 [692]~P29(x6922)+~P16(f25(x6922),x6921,x6922)+~P16(f25(x6922),x6923,x6922)+E(x6921,f25(x6922))+~E(f13(f13(f23(x6922),x6923),x6921),f25(x6922))
% 2.36/2.38 [693]~P29(x6932)+~P16(f25(x6932),x6933,x6932)+~P16(f25(x6932),x6931,x6932)+E(x6931,f25(x6932))+~E(f13(f13(f23(x6932),x6931),x6933),f25(x6932))
% 2.36/2.38 [766]~P3(x7662)+~P4(x7662)+~P9(x7661,x7664,x7662)+~P16(f25(x7662),x7663,x7662)+P9(x7661,f13(f13(f23(x7662),x7663),x7664),x7662)
% 2.36/2.38 [767]~P3(x7672)+~P4(x7672)+~P16(x7671,x7674,x7672)+~P9(f25(x7672),x7673,x7672)+P9(x7671,f13(f13(f23(x7672),x7673),x7674),x7672)
% 2.36/2.38 [768]~P3(x7682)+~P4(x7682)+~P16(x7681,x7684,x7682)+~P16(f25(x7682),x7683,x7682)+P16(x7681,f13(f13(f23(x7682),x7683),x7684),x7682)
% 2.36/2.38 [769]~P3(x7692)+~P4(x7692)+~P16(x7691,x7693,x7692)+~P16(f25(x7692),x7694,x7692)+P16(x7691,f13(f13(f23(x7692),x7693),x7694),x7692)
% 2.36/2.38 [695]~P32(x6954)+~P16(x6952,x6953,x6955)+~P7(x6951,x6955,x6954)+~P32(x6955)+P16(f13(x6951,x6952),f13(x6951,x6953),x6954)
% 2.36/2.38 [874]E(x8741,x8742)+~P10(x8743,x8744,x8745,x8746)+~E(f13(x8743,x8741),f13(x8743,x8742))+~P38(f41(x8742,x8744,x8745))+~P38(f41(x8741,x8744,x8745))
% 2.36/2.38 %EqnAxiom
% 2.36/2.38 [1]E(x11,x11)
% 2.36/2.38 [2]E(x22,x21)+~E(x21,x22)
% 2.36/2.38 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.36/2.38 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 2.36/2.38 [5]~E(x51,x52)+E(f13(x51,x53),f13(x52,x53))
% 2.36/2.38 [6]~E(x61,x62)+E(f13(x63,x61),f13(x63,x62))
% 2.36/2.38 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 2.36/2.38 [8]~E(x81,x82)+E(f23(x81),f23(x82))
% 2.36/2.38 [9]~E(x91,x92)+E(f25(x91),f25(x92))
% 2.36/2.38 [10]~E(x101,x102)+E(f40(x101,x103,x104,x105,x106),f40(x102,x103,x104,x105,x106))
% 2.36/2.38 [11]~E(x111,x112)+E(f40(x113,x111,x114,x115,x116),f40(x113,x112,x114,x115,x116))
% 2.36/2.38 [12]~E(x121,x122)+E(f40(x123,x124,x121,x125,x126),f40(x123,x124,x122,x125,x126))
% 2.36/2.38 [13]~E(x131,x132)+E(f40(x133,x134,x135,x131,x136),f40(x133,x134,x135,x132,x136))
% 2.36/2.38 [14]~E(x141,x142)+E(f40(x143,x144,x145,x146,x141),f40(x143,x144,x145,x146,x142))
% 2.36/2.38 [15]~E(x151,x152)+E(f36(x151,x153,x154),f36(x152,x153,x154))
% 2.36/2.38 [16]~E(x161,x162)+E(f36(x163,x161,x164),f36(x163,x162,x164))
% 2.36/2.38 [17]~E(x171,x172)+E(f36(x173,x174,x171),f36(x173,x174,x172))
% 2.36/2.38 [18]~E(x181,x182)+E(f38(x181,x183,x184),f38(x182,x183,x184))
% 2.36/2.38 [19]~E(x191,x192)+E(f38(x193,x191,x194),f38(x193,x192,x194))
% 2.36/2.38 [20]~E(x201,x202)+E(f38(x203,x204,x201),f38(x203,x204,x202))
% 2.36/2.38 [21]~E(x211,x212)+E(f5(x211,x213),f5(x212,x213))
% 2.36/2.38 [22]~E(x221,x222)+E(f5(x223,x221),f5(x223,x222))
% 2.36/2.38 [23]~E(x231,x232)+E(f22(x231,x233),f22(x232,x233))
% 2.36/2.38 [24]~E(x241,x242)+E(f22(x243,x241),f22(x243,x242))
% 2.36/2.38 [25]~E(x251,x252)+E(f34(x251,x253),f34(x252,x253))
% 2.36/2.38 [26]~E(x261,x262)+E(f34(x263,x261),f34(x263,x262))
% 2.36/2.38 [27]~E(x271,x272)+E(f9(x271,x273,x274),f9(x272,x273,x274))
% 2.36/2.38 [28]~E(x281,x282)+E(f9(x283,x281,x284),f9(x283,x282,x284))
% 2.36/2.38 [29]~E(x291,x292)+E(f9(x293,x294,x291),f9(x293,x294,x292))
% 2.36/2.38 [30]~E(x301,x302)+E(f41(x301,x303,x304),f41(x302,x303,x304))
% 2.36/2.38 [31]~E(x311,x312)+E(f41(x313,x311,x314),f41(x313,x312,x314))
% 2.36/2.38 [32]~E(x321,x322)+E(f41(x323,x324,x321),f41(x323,x324,x322))
% 2.36/2.38 [33]~E(x331,x332)+E(f11(x331,x333,x334),f11(x332,x333,x334))
% 2.36/2.38 [34]~E(x341,x342)+E(f11(x343,x341,x344),f11(x343,x342,x344))
% 2.36/2.38 [35]~E(x351,x352)+E(f11(x353,x354,x351),f11(x353,x354,x352))
% 2.36/2.38 [36]~E(x361,x362)+E(f39(x361,x363,x364),f39(x362,x363,x364))
% 2.36/2.38 [37]~E(x371,x372)+E(f39(x373,x371,x374),f39(x373,x372,x374))
% 2.36/2.38 [38]~E(x381,x382)+E(f39(x383,x384,x381),f39(x383,x384,x382))
% 2.36/2.38 [39]~E(x391,x392)+E(f45(x391),f45(x392))
% 2.36/2.38 [40]~E(x401,x402)+E(f24(x401,x403,x404),f24(x402,x403,x404))
% 2.36/2.38 [41]~E(x411,x412)+E(f24(x413,x411,x414),f24(x413,x412,x414))
% 2.36/2.38 [42]~E(x421,x422)+E(f24(x423,x424,x421),f24(x423,x424,x422))
% 2.36/2.38 [43]~E(x431,x432)+E(f37(x431),f37(x432))
% 2.36/2.38 [44]~E(x441,x442)+E(f46(x441,x443),f46(x442,x443))
% 2.36/2.38 [45]~E(x451,x452)+E(f46(x453,x451),f46(x453,x452))
% 2.36/2.38 [46]~E(x461,x462)+E(f10(x461,x463,x464),f10(x462,x463,x464))
% 2.36/2.38 [47]~E(x471,x472)+E(f10(x473,x471,x474),f10(x473,x472,x474))
% 2.36/2.38 [48]~E(x481,x482)+E(f10(x483,x484,x481),f10(x483,x484,x482))
% 2.36/2.38 [49]~E(x491,x492)+E(f19(x491,x493),f19(x492,x493))
% 2.36/2.38 [50]~E(x501,x502)+E(f19(x503,x501),f19(x503,x502))
% 2.36/2.38 [51]~E(x511,x512)+E(f15(x511,x513,x514),f15(x512,x513,x514))
% 2.36/2.38 [52]~E(x521,x522)+E(f15(x523,x521,x524),f15(x523,x522,x524))
% 2.36/2.38 [53]~E(x531,x532)+E(f15(x533,x534,x531),f15(x533,x534,x532))
% 2.36/2.38 [54]~E(x541,x542)+E(f18(x541,x543),f18(x542,x543))
% 2.36/2.38 [55]~E(x551,x552)+E(f18(x553,x551),f18(x553,x552))
% 2.36/2.38 [56]~E(x561,x562)+E(f27(x561,x563,x564,x565),f27(x562,x563,x564,x565))
% 2.36/2.38 [57]~E(x571,x572)+E(f27(x573,x571,x574,x575),f27(x573,x572,x574,x575))
% 2.36/2.38 [58]~E(x581,x582)+E(f27(x583,x584,x581,x585),f27(x583,x584,x582,x585))
% 2.36/2.38 [59]~E(x591,x592)+E(f27(x593,x594,x595,x591),f27(x593,x594,x595,x592))
% 2.36/2.38 [60]~E(x601,x602)+E(f26(x601,x603,x604,x605),f26(x602,x603,x604,x605))
% 2.36/2.38 [61]~E(x611,x612)+E(f26(x613,x611,x614,x615),f26(x613,x612,x614,x615))
% 2.36/2.38 [62]~E(x621,x622)+E(f26(x623,x624,x621,x625),f26(x623,x624,x622,x625))
% 2.36/2.38 [63]~E(x631,x632)+E(f26(x633,x634,x635,x631),f26(x633,x634,x635,x632))
% 2.36/2.38 [64]~E(x641,x642)+E(f21(x641,x643,x644,x645,x646),f21(x642,x643,x644,x645,x646))
% 2.36/2.38 [65]~E(x651,x652)+E(f21(x653,x651,x654,x655,x656),f21(x653,x652,x654,x655,x656))
% 2.36/2.38 [66]~E(x661,x662)+E(f21(x663,x664,x661,x665,x666),f21(x663,x664,x662,x665,x666))
% 2.36/2.38 [67]~E(x671,x672)+E(f21(x673,x674,x675,x671,x676),f21(x673,x674,x675,x672,x676))
% 2.36/2.38 [68]~E(x681,x682)+E(f21(x683,x684,x685,x686,x681),f21(x683,x684,x685,x686,x682))
% 2.36/2.38 [69]~E(x691,x692)+E(f8(x691),f8(x692))
% 2.36/2.38 [70]~E(x701,x702)+E(f16(x701,x703,x704,x705,x706,x707,x708,x709,x7010,x7011),f16(x702,x703,x704,x705,x706,x707,x708,x709,x7010,x7011))
% 2.36/2.38 [71]~E(x711,x712)+E(f16(x713,x711,x714,x715,x716,x717,x718,x719,x7110,x7111),f16(x713,x712,x714,x715,x716,x717,x718,x719,x7110,x7111))
% 2.36/2.38 [72]~E(x721,x722)+E(f16(x723,x724,x721,x725,x726,x727,x728,x729,x7210,x7211),f16(x723,x724,x722,x725,x726,x727,x728,x729,x7210,x7211))
% 2.36/2.38 [73]~E(x731,x732)+E(f16(x733,x734,x735,x731,x736,x737,x738,x739,x7310,x7311),f16(x733,x734,x735,x732,x736,x737,x738,x739,x7310,x7311))
% 2.36/2.38 [74]~E(x741,x742)+E(f16(x743,x744,x745,x746,x741,x747,x748,x749,x7410,x7411),f16(x743,x744,x745,x746,x742,x747,x748,x749,x7410,x7411))
% 2.36/2.38 [75]~E(x751,x752)+E(f16(x753,x754,x755,x756,x757,x751,x758,x759,x7510,x7511),f16(x753,x754,x755,x756,x757,x752,x758,x759,x7510,x7511))
% 2.36/2.38 [76]~E(x761,x762)+E(f16(x763,x764,x765,x766,x767,x768,x761,x769,x7610,x7611),f16(x763,x764,x765,x766,x767,x768,x762,x769,x7610,x7611))
% 2.36/2.38 [77]~E(x771,x772)+E(f16(x773,x774,x775,x776,x777,x778,x779,x771,x7710,x7711),f16(x773,x774,x775,x776,x777,x778,x779,x772,x7710,x7711))
% 2.36/2.38 [78]~E(x781,x782)+E(f16(x783,x784,x785,x786,x787,x788,x789,x7810,x781,x7811),f16(x783,x784,x785,x786,x787,x788,x789,x7810,x782,x7811))
% 2.36/2.38 [79]~E(x791,x792)+E(f16(x793,x794,x795,x796,x797,x798,x799,x7910,x7911,x791),f16(x793,x794,x795,x796,x797,x798,x799,x7910,x7911,x792))
% 2.36/2.38 [80]~E(x801,x802)+E(f20(x801,x803,x804,x805,x806),f20(x802,x803,x804,x805,x806))
% 2.36/2.38 [81]~E(x811,x812)+E(f20(x813,x811,x814,x815,x816),f20(x813,x812,x814,x815,x816))
% 2.36/2.38 [82]~E(x821,x822)+E(f20(x823,x824,x821,x825,x826),f20(x823,x824,x822,x825,x826))
% 2.36/2.38 [83]~E(x831,x832)+E(f20(x833,x834,x835,x831,x836),f20(x833,x834,x835,x832,x836))
% 2.36/2.38 [84]~E(x841,x842)+E(f20(x843,x844,x845,x846,x841),f20(x843,x844,x845,x846,x842))
% 2.36/2.38 [85]~E(x851,x852)+E(f56(x851,x853,x854,x855),f56(x852,x853,x854,x855))
% 2.36/2.38 [86]~E(x861,x862)+E(f56(x863,x861,x864,x865),f56(x863,x862,x864,x865))
% 2.36/2.38 [87]~E(x871,x872)+E(f56(x873,x874,x871,x875),f56(x873,x874,x872,x875))
% 2.36/2.38 [88]~E(x881,x882)+E(f56(x883,x884,x885,x881),f56(x883,x884,x885,x882))
% 2.36/2.38 [89]~E(x891,x892)+E(f31(x891),f31(x892))
% 2.36/2.38 [90]~E(x901,x902)+E(f58(x901,x903,x904,x905),f58(x902,x903,x904,x905))
% 2.36/2.38 [91]~E(x911,x912)+E(f58(x913,x911,x914,x915),f58(x913,x912,x914,x915))
% 2.36/2.38 [92]~E(x921,x922)+E(f58(x923,x924,x921,x925),f58(x923,x924,x922,x925))
% 2.36/2.38 [93]~E(x931,x932)+E(f58(x933,x934,x935,x931),f58(x933,x934,x935,x932))
% 2.36/2.38 [94]~E(x941,x942)+E(f17(x941,x943,x944,x945,x946,x947,x948,x949,x9410,x9411),f17(x942,x943,x944,x945,x946,x947,x948,x949,x9410,x9411))
% 2.36/2.38 [95]~E(x951,x952)+E(f17(x953,x951,x954,x955,x956,x957,x958,x959,x9510,x9511),f17(x953,x952,x954,x955,x956,x957,x958,x959,x9510,x9511))
% 2.36/2.38 [96]~E(x961,x962)+E(f17(x963,x964,x961,x965,x966,x967,x968,x969,x9610,x9611),f17(x963,x964,x962,x965,x966,x967,x968,x969,x9610,x9611))
% 2.36/2.38 [97]~E(x971,x972)+E(f17(x973,x974,x975,x971,x976,x977,x978,x979,x9710,x9711),f17(x973,x974,x975,x972,x976,x977,x978,x979,x9710,x9711))
% 2.36/2.38 [98]~E(x981,x982)+E(f17(x983,x984,x985,x986,x981,x987,x988,x989,x9810,x9811),f17(x983,x984,x985,x986,x982,x987,x988,x989,x9810,x9811))
% 2.36/2.38 [99]~E(x991,x992)+E(f17(x993,x994,x995,x996,x997,x991,x998,x999,x9910,x9911),f17(x993,x994,x995,x996,x997,x992,x998,x999,x9910,x9911))
% 2.36/2.38 [100]~E(x1001,x1002)+E(f17(x1003,x1004,x1005,x1006,x1007,x1008,x1001,x1009,x10010,x10011),f17(x1003,x1004,x1005,x1006,x1007,x1008,x1002,x1009,x10010,x10011))
% 2.36/2.38 [101]~E(x1011,x1012)+E(f17(x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1011,x10110,x10111),f17(x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1012,x10110,x10111))
% 2.36/2.38 [102]~E(x1021,x1022)+E(f17(x1023,x1024,x1025,x1026,x1027,x1028,x1029,x10210,x1021,x10211),f17(x1023,x1024,x1025,x1026,x1027,x1028,x1029,x10210,x1022,x10211))
% 2.36/2.38 [103]~E(x1031,x1032)+E(f17(x1033,x1034,x1035,x1036,x1037,x1038,x1039,x10310,x10311,x1031),f17(x1033,x1034,x1035,x1036,x1037,x1038,x1039,x10310,x10311,x1032))
% 2.36/2.38 [104]~E(x1041,x1042)+E(f54(x1041,x1043),f54(x1042,x1043))
% 2.36/2.38 [105]~E(x1051,x1052)+E(f54(x1053,x1051),f54(x1053,x1052))
% 2.36/2.38 [106]~E(x1061,x1062)+E(f7(x1061),f7(x1062))
% 2.36/2.38 [107]~E(x1071,x1072)+E(f28(x1071,x1073,x1074,x1075),f28(x1072,x1073,x1074,x1075))
% 2.36/2.38 [108]~E(x1081,x1082)+E(f28(x1083,x1081,x1084,x1085),f28(x1083,x1082,x1084,x1085))
% 2.36/2.38 [109]~E(x1091,x1092)+E(f28(x1093,x1094,x1091,x1095),f28(x1093,x1094,x1092,x1095))
% 2.36/2.38 [110]~E(x1101,x1102)+E(f28(x1103,x1104,x1105,x1101),f28(x1103,x1104,x1105,x1102))
% 2.36/2.38 [111]~E(x1111,x1112)+E(f29(x1111,x1113,x1114,x1115),f29(x1112,x1113,x1114,x1115))
% 2.36/2.38 [112]~E(x1121,x1122)+E(f29(x1123,x1121,x1124,x1125),f29(x1123,x1122,x1124,x1125))
% 2.36/2.38 [113]~E(x1131,x1132)+E(f29(x1133,x1134,x1131,x1135),f29(x1133,x1134,x1132,x1135))
% 2.36/2.38 [114]~E(x1141,x1142)+E(f29(x1143,x1144,x1145,x1141),f29(x1143,x1144,x1145,x1142))
% 2.36/2.38 [115]~E(x1151,x1152)+E(f57(x1151,x1153,x1154,x1155),f57(x1152,x1153,x1154,x1155))
% 2.36/2.38 [116]~E(x1161,x1162)+E(f57(x1163,x1161,x1164,x1165),f57(x1163,x1162,x1164,x1165))
% 2.36/2.38 [117]~E(x1171,x1172)+E(f57(x1173,x1174,x1171,x1175),f57(x1173,x1174,x1172,x1175))
% 2.36/2.38 [118]~E(x1181,x1182)+E(f57(x1183,x1184,x1185,x1181),f57(x1183,x1184,x1185,x1182))
% 2.36/2.38 [119]~E(x1191,x1192)+E(f53(x1191,x1193),f53(x1192,x1193))
% 2.36/2.38 [120]~E(x1201,x1202)+E(f53(x1203,x1201),f53(x1203,x1202))
% 2.36/2.38 [121]~E(x1211,x1212)+E(f55(x1211,x1213),f55(x1212,x1213))
% 2.36/2.38 [122]~E(x1221,x1222)+E(f55(x1223,x1221),f55(x1223,x1222))
% 2.36/2.38 [123]~E(x1231,x1232)+E(f33(x1231,x1233,x1234,x1235),f33(x1232,x1233,x1234,x1235))
% 2.36/2.38 [124]~E(x1241,x1242)+E(f33(x1243,x1241,x1244,x1245),f33(x1243,x1242,x1244,x1245))
% 2.36/2.38 [125]~E(x1251,x1252)+E(f33(x1253,x1254,x1251,x1255),f33(x1253,x1254,x1252,x1255))
% 2.36/2.38 [126]~E(x1261,x1262)+E(f33(x1263,x1264,x1265,x1261),f33(x1263,x1264,x1265,x1262))
% 2.36/2.38 [127]~E(x1271,x1272)+E(f30(x1271,x1273,x1274,x1275),f30(x1272,x1273,x1274,x1275))
% 2.36/2.38 [128]~E(x1281,x1282)+E(f30(x1283,x1281,x1284,x1285),f30(x1283,x1282,x1284,x1285))
% 2.36/2.38 [129]~E(x1291,x1292)+E(f30(x1293,x1294,x1291,x1295),f30(x1293,x1294,x1292,x1295))
% 2.36/2.38 [130]~E(x1301,x1302)+E(f30(x1303,x1304,x1305,x1301),f30(x1303,x1304,x1305,x1302))
% 2.36/2.38 [131]~E(x1311,x1312)+E(f32(x1311,x1313,x1314,x1315),f32(x1312,x1313,x1314,x1315))
% 2.36/2.38 [132]~E(x1321,x1322)+E(f32(x1323,x1321,x1324,x1325),f32(x1323,x1322,x1324,x1325))
% 2.36/2.38 [133]~E(x1331,x1332)+E(f32(x1333,x1334,x1331,x1335),f32(x1333,x1334,x1332,x1335))
% 2.36/2.38 [134]~E(x1341,x1342)+E(f32(x1343,x1344,x1345,x1341),f32(x1343,x1344,x1345,x1342))
% 2.36/2.38 [135]~E(x1351,x1352)+E(f6(x1351,x1353,x1354),f6(x1352,x1353,x1354))
% 2.36/2.38 [136]~E(x1361,x1362)+E(f6(x1363,x1361,x1364),f6(x1363,x1362,x1364))
% 2.36/2.38 [137]~E(x1371,x1372)+E(f6(x1373,x1374,x1371),f6(x1373,x1374,x1372))
% 2.36/2.38 [138]~P1(x1381)+P1(x1382)+~E(x1381,x1382)
% 2.36/2.38 [139]~P2(x1391)+P2(x1392)+~E(x1391,x1392)
% 2.36/2.38 [140]P15(x1402,x1403,x1404,x1405)+~E(x1401,x1402)+~P15(x1401,x1403,x1404,x1405)
% 2.36/2.38 [141]P15(x1413,x1412,x1414,x1415)+~E(x1411,x1412)+~P15(x1413,x1411,x1414,x1415)
% 2.36/2.38 [142]P15(x1423,x1424,x1422,x1425)+~E(x1421,x1422)+~P15(x1423,x1424,x1421,x1425)
% 2.36/2.38 [143]P15(x1433,x1434,x1435,x1432)+~E(x1431,x1432)+~P15(x1433,x1434,x1435,x1431)
% 2.36/2.38 [144]~P3(x1441)+P3(x1442)+~E(x1441,x1442)
% 2.36/2.38 [145]~P4(x1451)+P4(x1452)+~E(x1451,x1452)
% 2.36/2.38 [146]~P5(x1461)+P5(x1462)+~E(x1461,x1462)
% 2.36/2.38 [147]~P24(x1471)+P24(x1472)+~E(x1471,x1472)
% 2.36/2.38 [148]~P29(x1481)+P29(x1482)+~E(x1481,x1482)
% 2.36/2.38 [149]~P31(x1491)+P31(x1492)+~E(x1491,x1492)
% 2.36/2.38 [150]P16(x1502,x1503,x1504)+~E(x1501,x1502)+~P16(x1501,x1503,x1504)
% 2.36/2.38 [151]P16(x1513,x1512,x1514)+~E(x1511,x1512)+~P16(x1513,x1511,x1514)
% 2.36/2.38 [152]P16(x1523,x1524,x1522)+~E(x1521,x1522)+~P16(x1523,x1524,x1521)
% 2.36/2.38 [153]~P32(x1531)+P32(x1532)+~E(x1531,x1532)
% 2.36/2.38 [154]P9(x1542,x1543,x1544)+~E(x1541,x1542)+~P9(x1541,x1543,x1544)
% 2.36/2.38 [155]P9(x1553,x1552,x1554)+~E(x1551,x1552)+~P9(x1553,x1551,x1554)
% 2.36/2.38 [156]P9(x1563,x1564,x1562)+~E(x1561,x1562)+~P9(x1563,x1564,x1561)
% 2.36/2.38 [157]~P33(x1571)+P33(x1572)+~E(x1571,x1572)
% 2.36/2.38 [158]~P19(x1581)+P19(x1582)+~E(x1581,x1582)
% 2.36/2.38 [159]~P6(x1591)+P6(x1592)+~E(x1591,x1592)
% 2.36/2.38 [160]~P22(x1601)+P22(x1602)+~E(x1601,x1602)
% 2.36/2.38 [161]~P23(x1611)+P23(x1612)+~E(x1611,x1612)
% 2.36/2.38 [162]~P30(x1621)+P30(x1622)+~E(x1621,x1622)
% 2.36/2.38 [163]~P25(x1631)+P25(x1632)+~E(x1631,x1632)
% 2.36/2.38 [164]~P34(x1641)+P34(x1642)+~E(x1641,x1642)
% 2.36/2.38 [165]~P37(x1651)+P37(x1652)+~E(x1651,x1652)
% 2.36/2.38 [166]~P20(x1661)+P20(x1662)+~E(x1661,x1662)
% 2.36/2.38 [167]P7(x1672,x1673,x1674)+~E(x1671,x1672)+~P7(x1671,x1673,x1674)
% 2.36/2.38 [168]P7(x1683,x1682,x1684)+~E(x1681,x1682)+~P7(x1683,x1681,x1684)
% 2.36/2.38 [169]P7(x1693,x1694,x1692)+~E(x1691,x1692)+~P7(x1693,x1694,x1691)
% 2.36/2.38 [170]P8(x1702,x1703,x1704)+~E(x1701,x1702)+~P8(x1701,x1703,x1704)
% 2.36/2.38 [171]P8(x1713,x1712,x1714)+~E(x1711,x1712)+~P8(x1713,x1711,x1714)
% 2.36/2.38 [172]P8(x1723,x1724,x1722)+~E(x1721,x1722)+~P8(x1723,x1724,x1721)
% 2.36/2.38 [173]~P38(x1731)+P38(x1732)+~E(x1731,x1732)
% 2.36/2.38 [174]~P21(x1741)+P21(x1742)+~E(x1741,x1742)
% 2.36/2.38 [175]P17(x1752,x1753,x1754)+~E(x1751,x1752)+~P17(x1751,x1753,x1754)
% 2.36/2.38 [176]P17(x1763,x1762,x1764)+~E(x1761,x1762)+~P17(x1763,x1761,x1764)
% 2.36/2.38 [177]P17(x1773,x1774,x1772)+~E(x1771,x1772)+~P17(x1773,x1774,x1771)
% 2.36/2.38 [178]P13(x1782,x1783,x1784)+~E(x1781,x1782)+~P13(x1781,x1783,x1784)
% 2.36/2.38 [179]P13(x1793,x1792,x1794)+~E(x1791,x1792)+~P13(x1793,x1791,x1794)
% 2.36/2.38 [180]P13(x1803,x1804,x1802)+~E(x1801,x1802)+~P13(x1803,x1804,x1801)
% 2.36/2.38 [181]P10(x1812,x1813,x1814,x1815)+~E(x1811,x1812)+~P10(x1811,x1813,x1814,x1815)
% 2.36/2.38 [182]P10(x1823,x1822,x1824,x1825)+~E(x1821,x1822)+~P10(x1823,x1821,x1824,x1825)
% 2.36/2.38 [183]P10(x1833,x1834,x1832,x1835)+~E(x1831,x1832)+~P10(x1833,x1834,x1831,x1835)
% 2.36/2.38 [184]P10(x1843,x1844,x1845,x1842)+~E(x1841,x1842)+~P10(x1843,x1844,x1845,x1841)
% 2.36/2.38 [185]~P28(x1851)+P28(x1852)+~E(x1851,x1852)
% 2.36/2.38 [186]~P27(x1861)+P27(x1862)+~E(x1861,x1862)
% 2.36/2.38 [187]~P26(x1871)+P26(x1872)+~E(x1871,x1872)
% 2.36/2.38 [188]P11(x1882,x1883,x1884,x1885,x1886,x1887)+~E(x1881,x1882)+~P11(x1881,x1883,x1884,x1885,x1886,x1887)
% 2.36/2.38 [189]P11(x1893,x1892,x1894,x1895,x1896,x1897)+~E(x1891,x1892)+~P11(x1893,x1891,x1894,x1895,x1896,x1897)
% 2.36/2.38 [190]P11(x1903,x1904,x1902,x1905,x1906,x1907)+~E(x1901,x1902)+~P11(x1903,x1904,x1901,x1905,x1906,x1907)
% 2.36/2.38 [191]P11(x1913,x1914,x1915,x1912,x1916,x1917)+~E(x1911,x1912)+~P11(x1913,x1914,x1915,x1911,x1916,x1917)
% 2.36/2.38 [192]P11(x1923,x1924,x1925,x1926,x1922,x1927)+~E(x1921,x1922)+~P11(x1923,x1924,x1925,x1926,x1921,x1927)
% 2.36/2.38 [193]P11(x1933,x1934,x1935,x1936,x1937,x1932)+~E(x1931,x1932)+~P11(x1933,x1934,x1935,x1936,x1937,x1931)
% 2.36/2.38 [194]P12(x1942,x1943,x1944)+~E(x1941,x1942)+~P12(x1941,x1943,x1944)
% 2.36/2.38 [195]P12(x1953,x1952,x1954)+~E(x1951,x1952)+~P12(x1953,x1951,x1954)
% 2.36/2.38 [196]P12(x1963,x1964,x1962)+~E(x1961,x1962)+~P12(x1963,x1964,x1961)
% 2.36/2.38 [197]~P18(x1971)+P18(x1972)+~E(x1971,x1972)
% 2.36/2.38 [198]~P35(x1981)+P35(x1982)+~E(x1981,x1982)
% 2.36/2.38 [199]P14(x1992,x1993,x1994)+~E(x1991,x1992)+~P14(x1991,x1993,x1994)
% 2.36/2.38 [200]P14(x2003,x2002,x2004)+~E(x2001,x2002)+~P14(x2003,x2001,x2004)
% 2.36/2.38 [201]P14(x2013,x2014,x2012)+~E(x2011,x2012)+~P14(x2013,x2014,x2011)
% 2.36/2.38 [202]~P36(x2021)+P36(x2022)+~E(x2021,x2022)
% 2.36/2.38
% 2.36/2.38 %-------------------------------------------
% 2.36/2.39 cnf(973,plain,
% 2.36/2.39 (P16(x9731,f13(f13(f23(a1),x9732),x9731),a1)),
% 2.36/2.39 inference(rename_variables,[],[264])).
% 2.36/2.39 cnf(976,plain,
% 2.36/2.39 (P16(x9761,f13(f13(f23(a1),x9762),x9761),a1)),
% 2.36/2.39 inference(rename_variables,[],[264])).
% 2.36/2.39 cnf(979,plain,
% 2.36/2.39 (P9(x9791,f13(a35,f13(f13(f23(a1),x9792),x9791)),a1)),
% 2.36/2.39 inference(rename_variables,[],[289])).
% 2.36/2.39 cnf(982,plain,
% 2.36/2.39 (~P9(x9821,x9821,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(985,plain,
% 2.36/2.39 (~P16(f13(a35,x9851),x9851,a1)),
% 2.36/2.39 inference(rename_variables,[],[410])).
% 2.36/2.39 cnf(988,plain,
% 2.36/2.39 (~P16(f13(a35,x9881),x9881,a1)),
% 2.36/2.39 inference(rename_variables,[],[410])).
% 2.36/2.39 cnf(991,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x9911),x9912),x9912,a1)),
% 2.36/2.39 inference(rename_variables,[],[420])).
% 2.36/2.39 cnf(994,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x9941),x9942),x9942,a1)),
% 2.36/2.39 inference(rename_variables,[],[420])).
% 2.36/2.39 cnf(997,plain,
% 2.36/2.39 (P16(x9971,f13(f13(f23(a1),x9972),x9971),a1)),
% 2.36/2.39 inference(rename_variables,[],[264])).
% 2.36/2.39 cnf(1000,plain,
% 2.36/2.39 (P16(x10001,f13(f13(f23(a1),x10002),x10001),a1)),
% 2.36/2.39 inference(rename_variables,[],[264])).
% 2.36/2.39 cnf(1006,plain,
% 2.36/2.39 (P9(x10061,f13(a35,x10061),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1009,plain,
% 2.36/2.39 (~P16(f13(a35,x10091),x10091,a1)),
% 2.36/2.39 inference(rename_variables,[],[410])).
% 2.36/2.39 cnf(1012,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x10121),x10122),x10121,a1)),
% 2.36/2.39 inference(rename_variables,[],[421])).
% 2.36/2.39 cnf(1015,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x10151),x10152),x10152,a1)),
% 2.36/2.39 inference(rename_variables,[],[420])).
% 2.36/2.39 cnf(1018,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x10181),x10182),x10181,a1)),
% 2.36/2.39 inference(rename_variables,[],[421])).
% 2.36/2.39 cnf(1021,plain,
% 2.36/2.39 (P9(x10211,f13(a35,x10211),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1024,plain,
% 2.36/2.39 (P9(x10241,f13(a35,x10241),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1033,plain,
% 2.36/2.39 (E(f24(f13(f13(f23(a1),x10331),x10332),x10332,a1),x10331)),
% 2.36/2.39 inference(rename_variables,[],[267])).
% 2.36/2.39 cnf(1046,plain,
% 2.36/2.39 (~P9(x10461,x10461,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1049,plain,
% 2.36/2.39 (~P16(f13(a35,x10491),x10491,a1)),
% 2.36/2.39 inference(rename_variables,[],[410])).
% 2.36/2.39 cnf(1052,plain,
% 2.36/2.39 (P16(x10521,x10521,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1055,plain,
% 2.36/2.39 (P9(x10551,f13(a35,x10551),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1062,plain,
% 2.36/2.39 (~E(f13(a35,x10621),f25(a1))),
% 2.36/2.39 inference(rename_variables,[],[358])).
% 2.36/2.39 cnf(1065,plain,
% 2.36/2.39 (E(f20(x10651,f14(x10652),x10652,x10653,x10652),x10651)),
% 2.36/2.39 inference(rename_variables,[],[315])).
% 2.36/2.39 cnf(1083,plain,
% 2.36/2.39 (~P9(x10831,x10831,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1085,plain,
% 2.36/2.39 (~P9(x10851,x10851,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1087,plain,
% 2.36/2.39 (P16(f24(x10871,x10872,a1),x10871,a1)),
% 2.36/2.39 inference(rename_variables,[],[272])).
% 2.36/2.39 cnf(1089,plain,
% 2.36/2.39 (P16(f25(a1),x10891,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1094,plain,
% 2.36/2.39 (~E(f13(a35,x10941),x10941)),
% 2.36/2.39 inference(rename_variables,[],[348])).
% 2.36/2.39 cnf(1096,plain,
% 2.36/2.39 (P16(f24(x10961,x10962,a1),x10961,a1)),
% 2.36/2.39 inference(rename_variables,[],[272])).
% 2.36/2.39 cnf(1097,plain,
% 2.36/2.39 (P16(f25(a1),x10971,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1104,plain,
% 2.36/2.39 (P16(f25(a1),x11041,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1110,plain,
% 2.36/2.39 (~P9(x11101,f25(a1),a1)),
% 2.36/2.39 inference(rename_variables,[],[384])).
% 2.36/2.39 cnf(1113,plain,
% 2.36/2.39 (P9(x11131,f13(a35,x11131),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1116,plain,
% 2.36/2.39 (P16(x11161,x11161,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1119,plain,
% 2.36/2.39 (P16(x11191,x11191,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1122,plain,
% 2.36/2.39 (P9(x11221,f13(a35,x11221),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1125,plain,
% 2.36/2.39 (P9(x11251,f13(a35,x11251),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1128,plain,
% 2.36/2.39 (P16(x11281,x11281,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1131,plain,
% 2.36/2.39 (P16(x11311,x11311,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1134,plain,
% 2.36/2.39 (~P9(x11341,x11341,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1137,plain,
% 2.36/2.39 (~P9(x11371,x11371,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1140,plain,
% 2.36/2.39 (~P16(f13(a35,x11401),x11401,a1)),
% 2.36/2.39 inference(rename_variables,[],[410])).
% 2.36/2.39 cnf(1146,plain,
% 2.36/2.39 (~P9(x11461,x11461,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1149,plain,
% 2.36/2.39 (~P9(x11491,x11491,a1)),
% 2.36/2.39 inference(rename_variables,[],[376])).
% 2.36/2.39 cnf(1175,plain,
% 2.36/2.39 (~P9(x11751,f25(a1),a1)),
% 2.36/2.39 inference(rename_variables,[],[384])).
% 2.36/2.39 cnf(1180,plain,
% 2.36/2.39 (P16(x11801,x11801,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1181,plain,
% 2.36/2.39 (P16(f25(a1),x11811,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1186,plain,
% 2.36/2.39 (P9(x11861,f13(a35,x11861),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1187,plain,
% 2.36/2.39 (P9(f24(x11871,x11872,a1),f13(a35,x11871),a1)),
% 2.36/2.39 inference(rename_variables,[],[276])).
% 2.36/2.39 cnf(1190,plain,
% 2.36/2.39 (P9(x11901,f13(a35,x11901),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1193,plain,
% 2.36/2.39 (P16(f25(a1),x11931,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1196,plain,
% 2.36/2.39 (~P9(x11961,f25(a1),a1)),
% 2.36/2.39 inference(rename_variables,[],[384])).
% 2.36/2.39 cnf(1201,plain,
% 2.36/2.39 (P16(x12011,x12011,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1202,plain,
% 2.36/2.39 (P16(f25(a1),x12021,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1206,plain,
% 2.36/2.39 (P16(f25(a1),x12061,a1)),
% 2.36/2.39 inference(rename_variables,[],[239])).
% 2.36/2.39 cnf(1207,plain,
% 2.36/2.39 (P16(x12071,x12071,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1210,plain,
% 2.36/2.39 (P9(x12101,f13(a35,x12101),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1213,plain,
% 2.36/2.39 (~P9(f13(f13(f23(a1),x12131),x12132),x12132,a1)),
% 2.36/2.39 inference(rename_variables,[],[420])).
% 2.36/2.39 cnf(1221,plain,
% 2.36/2.39 (P16(x12211,x12211,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1224,plain,
% 2.36/2.39 (P16(x12241,x12241,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1228,plain,
% 2.36/2.39 (P9(x12281,f13(a35,x12281),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1231,plain,
% 2.36/2.39 (P16(x12311,x12311,a1)),
% 2.36/2.39 inference(rename_variables,[],[234])).
% 2.36/2.39 cnf(1274,plain,
% 2.36/2.39 (P9(x12741,f13(a35,x12741),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1277,plain,
% 2.36/2.39 (P9(x12771,f13(a35,x12771),a1)),
% 2.36/2.39 inference(rename_variables,[],[249])).
% 2.36/2.39 cnf(1280,plain,
% 2.36/2.39 (~E(f13(a35,x12801),x12801)),
% 2.36/2.39 inference(rename_variables,[],[348])).
% 2.36/2.39 cnf(1283,plain,
% 2.36/2.39 (~E(f13(a35,x12831),x12831)),
% 2.36/2.39 inference(rename_variables,[],[348])).
% 2.36/2.39 cnf(1286,plain,
% 2.36/2.39 (~E(f13(a35,x12861),x12861)),
% 2.36/2.39 inference(rename_variables,[],[348])).
% 2.36/2.39 cnf(1608,plain,
% 2.36/2.39 ($false),
% 2.36/2.39 inference(scs_inference,[],[258,237,283,234,1052,1116,1119,1128,1131,1180,1201,1207,1221,1224,1231,235,376,982,1046,1083,1085,1134,1137,1146,1149,203,204,206,207,208,211,213,214,215,217,220,222,223,230,239,1089,1097,1104,1181,1193,1202,1206,384,1110,1175,1196,425,271,287,329,348,1094,1280,1283,1286,272,1087,1096,273,249,1006,1021,1024,1055,1113,1122,1125,1186,1190,1210,1228,1274,1277,410,985,988,1009,1049,1140,346,276,1187,358,1062,315,1065,303,282,310,263,264,973,976,997,1000,420,991,994,1015,1213,421,1012,1018,246,424,419,299,289,979,267,1033,319,292,2,519,485,478,474,475,688,687,686,648,632,630,628,626,613,565,564,562,550,548,547,512,654,653,808,717,617,525,698,489,901,891,810,795,794,789,788,615,545,886,908,904,634,902,196,184,183,180,175,173,172,171,155,154,151,150,143,141,140,3,560,530,529,524,616,580,739,715,713,711,710,709,707,667,665,663,661,659,657,689,597,480,878,875,797,696,685,830,828,673,832,827,915,639,636,601,544,836,856,741,757,821,820,695,769,768,767,766,824,793,473,447,517,857,672,612,583,561,552,514,504,457,449,448,431,430,429,428,690,677,471,470,469,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,883,870,869,868,852,809,807,756,755,740,719,718,716,618,606,604,603,574,573,572,571,570,569,568,567,566,559,558,528,527,521,520,494,493,467,459,453,441,440,439,438,437,436,435,433,426,699,651,743,649,644,624,623,622,620,619,614,885,877,847,846,843,834,790,787,738,737,736,735,697,691,684,897,888,887,864,849,845,844,816,815,814,813,694,675,895,889,862,700,916,840,909,900]),
% 2.36/2.39 ['proof']).
% 2.36/2.39 % SZS output end Proof
% 2.36/2.39 % Total time :1.470000s
%------------------------------------------------------------------------------