TSTP Solution File: LCL760-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL760-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:46 EDT 2023
% Result : Unsatisfiable 0.84s 0.90s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL760-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n004.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 17:39:08 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.73/0.85 %-------------------------------------------
% 0.73/0.85 % File :CSE---1.6
% 0.73/0.85 % Problem :theBenchmark
% 0.73/0.85 % Transform :cnf
% 0.73/0.85 % Format :tptp:raw
% 0.73/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.73/0.85
% 0.73/0.85 % Result :Theorem 0.040000s
% 0.73/0.85 % Output :CNFRefutation 0.040000s
% 0.73/0.85 %-------------------------------------------
% 0.73/0.86 %------------------------------------------------------------------------------
% 0.73/0.86 % File : LCL760-1 : TPTP v8.1.2. Released v4.1.0.
% 0.73/0.86 % Domain : Logic Calculi
% 0.73/0.86 % Problem : Strong normalization of typed lambda calculus 061_4
% 0.73/0.86 % Version : Especial.
% 0.73/0.86 % English :
% 0.73/0.86
% 0.73/0.86 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.73/0.86 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.73/0.86 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.73/0.86 % Source : [Nip10]
% 0.73/0.86 % Names : StrongNorm-061_4 [Nip10]
% 0.73/0.86
% 0.73/0.86 % Status : Unsatisfiable
% 0.73/0.86 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0
% 0.73/0.86 % Syntax : Number of clauses : 651 ( 159 unt; 87 nHn; 329 RR)
% 0.73/0.86 % Number of literals : 1474 ( 501 equ; 764 neg)
% 0.73/0.86 % Maximal clause size : 6 ( 2 avg)
% 0.73/0.86 % Maximal term depth : 10 ( 2 avg)
% 0.73/0.86 % Number of predicates : 48 ( 47 usr; 0 prp; 1-3 aty)
% 0.73/0.86 % Number of functors : 49 ( 49 usr; 13 con; 0-6 aty)
% 0.73/0.86 % Number of variables : 1717 ( 236 sgn)
% 0.73/0.86 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.73/0.86
% 0.73/0.86 % Comments :
% 0.73/0.86 %------------------------------------------------------------------------------
% 0.73/0.86 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_add__neg__neg_0,axiom,
% 0.73/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.73/0.86 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.73/0.86 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.86 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.73/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.73/0.86 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.86 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.73/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_dvd__div__mult_0,axiom,
% 0.73/0.86 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.86 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_c,T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),V_a,T_a)
% 0.73/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_not__square__less__zero_0,axiom,
% 0.73/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_nat__dvd__1__iff__1_1,axiom,
% 0.73/0.86 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_lift__subst__lt_0,axiom,
% 0.73/0.86 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)))
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_combine__common__factor_0,axiom,
% 0.73/0.86 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.73/0.86 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_e,T_a)),V_c) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.73/0.86 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_k)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_u,tc_nat)),V_k) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_one__less__power_0,axiom,
% 0.73/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.73/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_of__nat__Suc_0,axiom,
% 0.73/0.86 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.73/0.86 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_mult__less__cancel1_0,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_mult__less__cancel2_0,axiom,
% 0.73/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.73/0.86 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.73/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.73/0.86 | V_m = V_n ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_of__nat__1_0,axiom,
% 0.73/0.86 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.73/0.86 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_nat__mult__eq__1__iff_0,axiom,
% 0.73/0.86 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.73/0.86 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_nat__mult__eq__1__iff_1,axiom,
% 0.73/0.86 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.73/0.86 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_mod__add__right__eq_0,axiom,
% 0.73/0.86 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.86 | 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) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_mod__add__left__eq_0,axiom,
% 0.73/0.86 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.86 | 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) ) ).
% 0.73/0.86
% 0.73/0.86 cnf(cls_dvd_Oless__trans_1,axiom,
% 0.73/0.86 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.73/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.73/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.73/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mod__less__divisor_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__one_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.73/0.87 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))
% 0.73/0.87 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_add__cancel__21_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__add_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_add__gr__0_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.73/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__add__assoc_0,axiom,
% 0.73/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__add__left__commute_0,axiom,
% 0.73/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_add__cancel__21_1,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_xt1_I10_J_0,axiom,
% 0.73/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_order__less__trans_0,axiom,
% 0.73/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.73/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__Suc__less__one_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.73/0.87 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mod__add__eq_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | 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) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__mult__commute_0,axiom,
% 0.73/0.87 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__Suc_0,axiom,
% 0.73/0.87 ( ~ class_Power_Opower(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__Suc2_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mult__cancel1_1,axiom,
% 0.73/0.87 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_m,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mult__cancel2_1,axiom,
% 0.73/0.87 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_m,tc_nat),V_m,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.73/0.87 | ~ class_Int_Onumber__ring(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.73/0.87 | ~ class_Int_Onumber__ring(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.73/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.73/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.73/0.87 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.73/0.87 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.73/0.87 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mod__mod__trivial_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | 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) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_of__nat__power_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.73/0.87 | c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),V_n,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__self_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.73/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__triv__right_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__triv__left_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvdI_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mult__1__right_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mult__1__left_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_mult__1_0,axiom,
% 0.73/0.87 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__mult__1_0,axiom,
% 0.73/0.87 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__mult__1__right_0,axiom,
% 0.73/0.87 c_HOL_Otimes__class_Otimes(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_listsp_ONil_0,axiom,
% 0.73/0.87 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__mult__self__is__m_0,axiom,
% 0.73/0.87 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__mult__self1__is__m_0,axiom,
% 0.73/0.87 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),V_n,tc_nat) = V_m
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__mult__dvd__cancel__disj_2,axiom,
% 0.73/0.87 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__add_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_z,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(V_x,V_z,T_a)),c_Divides_Odiv__class_Odiv(V_y,V_z,T_a))
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__mod__equality2_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a))),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_div__mod__equality_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a))),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_less__add__Suc1_0,axiom,
% 0.73/0.87 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_less__add__Suc2_0,axiom,
% 0.73/0.87 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.73/0.87 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_power__strict__decreasing_0,axiom,
% 0.73/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.73/0.87 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_add__lessD1_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_trans__less__add1_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_trans__less__add2_0,axiom,
% 0.73/0.87 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mod__iff_1,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mod__iff_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_dvd__mod_0,axiom,
% 0.73/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.73/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_Suc__times__mod__eq_0,axiom,
% 0.73/0.87 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),V_k,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 0.73/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),V_k,tc_nat) ) ).
% 0.73/0.87
% 0.73/0.87 cnf(cls_nat__1__eq__mult__iff_2,axiom,
% 0.73/0.87 c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.73/0.87
% 0.73/0.88 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.73/0.88 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.73/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__add__commute_0,axiom,
% 0.73/0.88 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_less__add__eq__less_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dvd__power_1,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.73/0.88 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.73/0.88 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.73/0.88 | V_m = V_n ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mod__div__trivial_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 0.73/0.88 | V_y = V_z ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 0.73/0.88 | V_m = V_n ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.73/0.88 | V_m = V_n ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.73/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.73/0.88 | V_y = V_z ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_add__imp__eq_0,axiom,
% 0.73/0.88 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.73/0.88 | V_b = V_c ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_add__left__cancel_0,axiom,
% 0.73/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.73/0.88 | V_b = V_c ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_add__right__cancel_0,axiom,
% 0.73/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.73/0.88 | V_b = V_c ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_subst__Abs_0,axiom,
% 0.73/0.88 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(V_t)),V_s),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_s),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dvd__power__same_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_subst__subst_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_v),V_i)),c_Suc(V_j))),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_v),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_v),V_j)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_div__dvd__div_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_div__dvd__div_1,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_div__less_0,axiom,
% 0.73/0.88 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.73/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.73/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dB_Osize_I6_J_0,axiom,
% 0.73/0.88 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dvd__add_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.73/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__mult__eq__1__iff_2,axiom,
% 0.73/0.88 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dvd__div__mult__self_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a) = V_b
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_dvd__mult__div__cancel_0,axiom,
% 0.73/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.73/0.88 | c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a) = V_b
% 0.73/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_lift__preserves__beta_0,axiom,
% 0.73/0.88 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,V_r),V_i),hAPP(hAPP(c_Lambda_Olift,V_s),V_i))
% 0.73/0.88 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_power__Suc__less_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_lift__subst_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),V_j)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_lift__lift_0,axiom,
% 0.73/0.88 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),c_Suc(V_k)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_i)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mod__mult__distrib2_0,axiom,
% 0.73/0.88 c_HOL_Otimes__class_Otimes(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mod__mult__distrib_0,axiom,
% 0.73/0.88 c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_k,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel2_2,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel1_2,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__mono2_0,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__mono1_0,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.73/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.73/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.73/0.88
% 0.73/0.88 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.73/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.73/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__add1__eq_0,axiom,
% 0.80/0.88 c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_a),V_b),V_c,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Odiv(V_a,V_c,tc_nat)),c_Divides_Odiv__class_Odiv(V_b,V_c,tc_nat))),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(V_a,V_c,tc_nat)),c_Divides_Odiv__class_Omod(V_b,V_c,tc_nat)),V_c,tc_nat)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nat__power__less__imp__less_0,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_i,V_m,tc_nat),c_Power_Opower__class_Opower(V_i,V_n,tc_nat),tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_i,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__mult__mult1_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.80/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__mult__mult2_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.80/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nat__mult__div__cancel__disj_1,axiom,
% 0.80/0.88 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.80/0.88 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subst__lemma_0,axiom,
% 0.80/0.88 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.80/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.80/0.88 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_zero__less__two_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__mult__self3_0,axiom,
% 0.80/0.88 c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)),V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__mult__self1_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a)),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__mult__self2_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_m,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_split__div__lemma_2,axiom,
% 0.80/0.88 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.88 | c_HOL_Oord__class_Oless(V_m,c_HOL_Otimes__class_Otimes(V_n,c_Suc(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)),tc_nat),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nat__mult__dvd__cancel__disj_0,axiom,
% 0.80/0.88 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.80/0.88 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.80/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.80/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__add__self1_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),c_HOL_Oone__class_Oone(T_a))
% 0.80/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__add__self2_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),c_HOL_Oone__class_Oone(T_a))
% 0.80/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nat__zero__less__power__iff_2,axiom,
% 0.80/0.88 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_abs_0,axiom,
% 0.80/0.88 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.80/0.88 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_less__1__mult_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__by__1_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_split__mod_1,axiom,
% 0.80/0.88 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.80/0.88 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat)),V_j),V_k,tc_nat)))
% 0.80/0.88 | hBOOL(hAPP(V_P,V_j)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__gr__0_2,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__gr__0_1,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_dvd_Oless__le__trans_1,axiom,
% 0.80/0.88 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.80/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_dvd_Ole__less__trans_1,axiom,
% 0.80/0.88 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.80/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.80/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_power__eq__0__iff_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.88 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.88 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.88 | ~ class_Power_Opower(T_a)
% 0.80/0.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_field__power__not__zero_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.80/0.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__zero__left_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__zero__right_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_dvd__0__right_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_one__neq__zero_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.80/0.88 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_no__zero__divisors_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__by__0_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__0_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_double__eq__0__iff_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__if_0,axiom,
% 0.80/0.88 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__mult__eq_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_power__commutes_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_div__mult__self2_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))
% 0.80/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__mult__self1_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a)),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))
% 0.80/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),V_m) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),V_m,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__one__right_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__add__cong_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.80/0.89 | 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) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_even__less__0__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_even__less__0__iff_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__pos__pos_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__neg__neg_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__power_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__zero__less__power__iff_1,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,V_n,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__Suc__right_0,axiom,
% 0.80/0.89 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__Suc_0,axiom,
% 0.80/0.89 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_split__div_1,axiom,
% 0.80/0.89 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.80/0.89 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat)),V_j),V_k,tc_nat)))
% 0.80/0.89 | hBOOL(hAPP(V_P,V_i)) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__power_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),V_n,T_a) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_shift__eq_0,axiom,
% 0.80/0.89 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.80/0.89 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.80/0.89 | V_i = V_k
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__one__less__zero_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.80/0.89 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.80/0.89 | V_dB = V_dB_H ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__mult_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.80/0.89 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__mult__self4_0,axiom,
% 0.80/0.89 c_Divides_Odiv__class_Omod(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)),V_m)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a))
% 0.80/0.89 | V_y = V_z
% 0.80/0.89 | V_w = V_x ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a))
% 0.80/0.89 | V_c = V_d
% 0.80/0.89 | V_a = V_b ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.80/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat))
% 0.80/0.89 | V_c = V_d
% 0.80/0.89 | V_a = V_b ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.80/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat))
% 0.80/0.89 | V_y = V_z
% 0.80/0.89 | V_w = V_x ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 0.80/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 0.80/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__eq__self__implies__10_0,axiom,
% 0.80/0.89 ( V_m != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.80/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.89 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__mult__cong_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)),V_m) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),V_m,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),V_m,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__by__1_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__reduce_0,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__reduce_1,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__if_0,axiom,
% 0.80/0.89 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__less__le_1,axiom,
% 0.80/0.89 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_less__not__refl_0,axiom,
% 0.80/0.89 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_order__less__le_1,axiom,
% 0.80/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__neq__iff_1,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_order__less__irrefl_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_add__pos__pos_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__gt1__lemma_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.89 | V_x = V_y ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | V_x = V_y
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oeq__iff_2,axiom,
% 0.80/0.89 ( V_x = V_y
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oantisym_0,axiom,
% 0.80/0.89 ( V_x = V_y
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oless__le_0,axiom,
% 0.80/0.89 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.80/0.89 | V_x = V_y
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__antisym_0,axiom,
% 0.80/0.89 ( V_m = V_n
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__neq__iff_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | V_m = V_n ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__less__cases_0,axiom,
% 0.80/0.89 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.80/0.89 | V_m = V_n
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oantisym__conv_0,axiom,
% 0.80/0.89 ( V_x = V_y
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Ole__neq__trans_0,axiom,
% 0.80/0.89 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.80/0.89 | V_a = V_b
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oneq__le__trans_0,axiom,
% 0.80/0.89 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 0.80/0.89 | V_a = V_b ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.80/0.89 | V_x = V_y ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__neqE_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.89 | V_x = V_y ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__less__linear_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.80/0.89 | V_x = V_y
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.80/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.89 | V_x = V_y
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__dvd__not__less_0,axiom,
% 0.80/0.89 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_add__strict__mono_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_add__less__mono_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__trans_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__refl_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oeq__iff_0,axiom,
% 0.80/0.89 c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oless__trans_0,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd_Oorder__trans_0,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_power__gt1_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__less__iff_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__less__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__mult__dvd__cancel__disj_1,axiom,
% 0.80/0.89 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_zero__less__one_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__mult1__eq_0,axiom,
% 0.80/0.89 c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,tc_nat),V_c,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_c,tc_nat),tc_nat)),c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,tc_nat),tc_nat),V_c,tc_nat)) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__less__cancel1_1,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__less__cancel2_1,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__mult__dvd__cancel1_1,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__mult__dvd__cancel1_0,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_dvd__mult__cancel_0,axiom,
% 0.80/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_less__add__one_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__less__dividend_0,axiom,
% 0.80/0.89 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mult__left__idem_0,axiom,
% 0.80/0.89 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.80/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_div__mult__div__if__dvd_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),c_Divides_Odiv__class_Odiv(V_w,V_z,T_a),T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_x,V_w,T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)
% 0.80/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_nat__mod__eq__iff_1,axiom,
% 0.80/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_n,V_xa,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),c_HOL_Otimes__class_Otimes(V_n,V_xb,tc_nat))
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.80/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.80/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_one__dvd_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.80/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.89 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.80/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__self_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__by__0_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_mod__0_0,axiom,
% 0.80/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.89
% 0.80/0.89 cnf(cls_double__eq__0__iff_1,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_zero__neq__one_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.84/0.89 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__0__left_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.84/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.84/0.89 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__0__left_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__0__left_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.84/0.89 | ~ class_Power_Opower(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_split__mod_5,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,V_n))
% 0.84/0.89 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_split__mod_0,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.84/0.89 | hBOOL(hAPP(V_P,V_n)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__cancel2_1,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__cancel1_1,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lexn_Oinduct_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.89 | hBOOL(hAPP(V_P,v_sko__List__Xlexn__Xinduct__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_zero__induct_1,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_neq0__conv_1,axiom,
% 0.84/0.89 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_split__div_H_6,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_split__div_5,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.84/0.89 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_split__div_0,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.84/0.89 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_gr0I_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.84/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__induct_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_n))
% 0.84/0.89 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__is__0_2,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__is__0_1,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__is__0_0,axiom,
% 0.84/0.89 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__is__0_1,axiom,
% 0.84/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__is__0_0,axiom,
% 0.84/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__cancel2_0,axiom,
% 0.84/0.89 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.84/0.89 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_m = V_n ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__cancel1_0,axiom,
% 0.84/0.89 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.84/0.89 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | V_m = V_n ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.84/0.89 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.84/0.89 | V_m = V_n
% 0.84/0.89 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.84/0.89 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.84/0.89 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__eq__self__zero_0,axiom,
% 0.84/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.84/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_replicate_Oinduct_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.89 | hBOOL(hAPP(V_P,v_sko__List__Xreplicate__Xinduct__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat_Oinducts_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.89 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinducts__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__is__0_2,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat_Oinduct_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.89 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_gr__implies__not0_0,axiom,
% 0.84/0.89 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less0_0,axiom,
% 0.84/0.89 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_upt_Oinduct_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.89 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P)))
% 0.84/0.89 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.84/0.89 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_one__less__mult_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.84/0.89 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.84/0.89 | V_m = V_n ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__SucI_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Suc__lessD_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.84/0.89 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__trans__Suc_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__Suc__eq_2,axiom,
% 0.84/0.89 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lessI_0,axiom,
% 0.84/0.89 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.84/0.89 ( V_n = V_m
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__antisym_0,axiom,
% 0.84/0.89 ( V_m = V_n
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__SucE_0,axiom,
% 0.84/0.89 ( V_m = V_n
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__Suc_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__Suc__right_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__Suc_1,axiom,
% 0.84/0.89 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.84/0.89 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__Suc__shift_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Suc__lessI_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.84/0.89 | c_Suc(V_m) = V_n
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less__eq_1,axiom,
% 0.84/0.89 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less__eq_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Suc__less__eq_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Suc__mono_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit_1,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_appR_0,axiom,
% 0.84/0.89 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))
% 0.84/0.89 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_appL_0,axiom,
% 0.84/0.89 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))
% 0.84/0.89 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.84/0.89 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.84/0.89 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.84/0.89 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.84/0.89 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.84/0.89 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.84/0.89 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.84/0.89 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.84/0.89 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.89 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.84/0.89 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.84/0.89 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.84/0.89 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.84/0.89 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_foldl__Nil_0,axiom,
% 0.84/0.89 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_foldl__assoc_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.84/0.89 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_subst__preserves__beta_0,axiom,
% 0.84/0.89 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i))
% 0.84/0.89 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_subst__lift_0,axiom,
% 0.84/0.89 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lift__types_0,axiom,
% 0.84/0.89 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.84/0.89 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit_0,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.84/0.89 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.84/0.89 ( hAPP(V_e,V_i) = V_T
% 0.84/0.89 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__inject__exp_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.84/0.89 | V_m = V_n ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__eq__if_0,axiom,
% 0.84/0.89 c_Power_Opower__class_Opower(V_p,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__0_0,axiom,
% 0.84/0.89 ( ~ class_Power_Opower(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__mult__div__cancel1_0,axiom,
% 0.84/0.89 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__mult__div__cancel__disj_0,axiom,
% 0.84/0.89 c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__add__self2_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | 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) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__add__self1_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | 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) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_shift__gt_0,axiom,
% 0.84/0.89 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__pos__neg2_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__pos__neg_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__neg__pos_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult__right_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult__left_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult2_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_setsum__op__ivl__Suc_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_Suc(V_n),tc_nat),tc_nat,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_pos__add__strict_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mult2__eq_0,axiom,
% 0.84/0.89 c_Divides_Odiv__class_Omod(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Odiv(V_a,V_b,tc_nat),V_c,tc_nat),tc_nat)),c_Divides_Odiv__class_Omod(V_a,V_b,tc_nat)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mod__cancel_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit_2,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.84/0.89 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.84/0.89 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__strict__increasing_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__add__less1_0,axiom,
% 0.84/0.89 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__add__less2_0,axiom,
% 0.84/0.89 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__less__power__Suc_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_div__mult2__eq_0,axiom,
% 0.84/0.89 c_Divides_Odiv__class_Odiv(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(V_a,V_b,tc_nat),V_c,tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__dvd__mono_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__lemma_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat),tc_nat)),V_r),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.84/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,T_a))
% 0.84/0.89 | V_c = V_d
% 0.84/0.89 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.84/0.89 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat))
% 0.84/0.89 | V_c = V_d
% 0.84/0.89 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__power_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__strict__right__mono_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__less__cancel__right_1,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__less__cancel__right_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__strict__left__mono_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__less__cancel__left_1,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__less__cancel__left_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__less__mono1_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.84/0.89 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_subject__reduction_0,axiom,
% 0.84/0.89 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.84/0.89 | ~ c_Lambda_Obeta(V_t,V_t_H)
% 0.84/0.89 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_setsum__op__ivl__Suc_1,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_Suc(V_n),tc_nat),tc_nat,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a)),hAPP(V_f,V_n))
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult__cancel1_0,axiom,
% 0.84/0.89 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd__mult__cancel2_0,axiom,
% 0.84/0.89 ( V_n = c_HOL_Oone__class_Oone(tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),V_m,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__idem_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__eq__0__iff_1,axiom,
% 0.84/0.89 c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_d,V_x,tc_nat),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__dvd__1__iff__1_0,axiom,
% 0.84/0.89 ( V_m = c_HOL_Oone__class_Oone(tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__zero__less__power__iff_0,axiom,
% 0.84/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,V_n,tc_nat),tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_of__nat__add_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.84/0.89 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__mult__distrib_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | 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) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | 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) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_setsum__head__upt__Suc_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(V_f,V_m)),c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(V_m),V_n,tc_nat),tc_nat,T_a))
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_power__mult_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.84/0.89 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__div__equality2_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__div__equality_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) = V_a ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__div__decomp_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | V_a = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mult__mult2_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_mod__mult__mult1_0,axiom,
% 0.84/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.84/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.84/0.89 hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(V_s)),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,V_s),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osize_I3_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__1__eq__mult__iff_0,axiom,
% 0.84/0.89 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.84/0.89 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__1__eq__mult__iff_1,axiom,
% 0.84/0.89 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.84/0.89 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_nat__mult__assoc_0,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__mult__distrib_0,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat)),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_add__mult__distrib2_0,axiom,
% 0.84/0.89 c_HOL_Otimes__class_Otimes(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.84/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/0.89 | c_HOL_Otimes__class_Otimes(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lift__type_0,axiom,
% 0.84/0.89 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T)
% 0.84/0.89 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_xt1_I9_J_0,axiom,
% 0.84/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.84/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd_Ole__less__trans_0,axiom,
% 0.84/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dvd_Oless__le__trans_0,axiom,
% 0.84/0.89 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.84/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.84/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_order__less__asym_0,axiom,
% 0.84/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_order__less__asym_H_0,axiom,
% 0.84/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.84/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.84/0.89 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_typing_OVar_0,axiom,
% 0.84/0.89 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_lift__IT_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.84/0.89 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_Lambda_0,axiom,
% 0.84/0.89 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.84/0.89 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_setsum__shift__lb__Suc0__0__upt_0,axiom,
% 0.84/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/0.89 | hAPP(V_f,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.89 | c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat),tc_nat,T_a) = c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat),tc_nat,T_a) ) ).
% 0.84/0.89
% 0.84/0.89 cnf(cls_dB_Osize_I2_J_0,axiom,
% 0.84/0.90 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osize_I5_J_0,axiom,
% 0.84/0.90 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_beta_0,axiom,
% 0.84/0.90 c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_head__Var__reduction_1,axiom,
% 0.84/0.90 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | ~ c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB),V_v) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_power__eq__0__iff_2,axiom,
% 0.84/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.84/0.90 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.84/0.90 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.84/0.90 | ~ class_Power_Opower(T_a)
% 0.84/0.90 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_power__0__left_1,axiom,
% 0.84/0.90 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.84/0.90 | ~ class_Power_Opower(T_a)
% 0.84/0.90 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_power__eq__0__iff_1,axiom,
% 0.84/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.84/0.90 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.84/0.90 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.84/0.90 | ~ class_Power_Opower(T_a)
% 0.84/0.90 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_of__nat__0_0,axiom,
% 0.84/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.84/0.90 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_power__0__Suc_0,axiom,
% 0.84/0.90 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.84/0.90 | ~ class_Power_Opower(T_a)
% 0.84/0.90 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Oexhaust_0,axiom,
% 0.84/0.90 ( V_y = c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(V_y))
% 0.84/0.90 | V_y = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_2,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_1,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_5,axiom,
% 0.84/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_zero__induct_0,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.84/0.90 | hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat__power__eq__Suc__0__iff_0,axiom,
% 0.84/0.90 ( c_Power_Opower__class_Opower(V_x,V_m,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_4,axiom,
% 0.84/0.90 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_lexn_Oinduct_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xlexn__Xinduct__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_mod__1_0,axiom,
% 0.84/0.90 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.84/0.90 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dvd__1__iff__1_1,axiom,
% 0.84/0.90 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_2,axiom,
% 0.84/0.90 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_1,axiom,
% 0.84/0.90 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_less__Suc0_1,axiom,
% 0.84/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_One__nat__def_0,axiom,
% 0.84/0.90 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_shift__commute_0,axiom,
% 0.84/0.90 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat__induct_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_n))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.84/0.90 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.84/0.90 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_replicate_Oinduct_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xreplicate__Xinduct__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_upt_Oinduct_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Onchotomy_0,axiom,
% 0.84/0.90 ( V_v = c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(V_v))
% 0.84/0.90 | V_v = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat__power__eq__Suc__0__iff_1,axiom,
% 0.84/0.90 c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Oinduct_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_4,axiom,
% 0.84/0.90 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_less__Suc0_0,axiom,
% 0.84/0.90 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Oinducts_1,axiom,
% 0.84/0.90 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinducts__1(V_P))))
% 0.84/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_not0__implies__Suc_0,axiom,
% 0.84/0.90 ( V_n = c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(V_n))
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dvd__1__left_0,axiom,
% 0.84/0.90 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_5,axiom,
% 0.84/0.90 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_3,axiom,
% 0.84/0.90 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_one__is__add_0,axiom,
% 0.84/0.90 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_zero__less__Suc_0,axiom,
% 0.84/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.84/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_mod__Suc_0,axiom,
% 0.84/0.90 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.84/0.90 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_3,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_add__is__1_0,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat__power__eq__Suc__0__iff_2,axiom,
% 0.84/0.90 c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_power__Suc__0_0,axiom,
% 0.84/0.90 c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dvd__1__iff__1_0,axiom,
% 0.84/0.90 ( V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_div__1_0,axiom,
% 0.84/0.90 c_Divides_Odiv__class_Odiv(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = V_m ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_foldl__absorb0_0,axiom,
% 0.84/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.84/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_substn__subst__0_0,axiom,
% 0.84/0.90 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.84/0.90 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.84/0.90 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.84/0.90 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.84/0.90 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_r = V_s ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_rs = V_ss ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_apps__preserves__beta_0,axiom,
% 0.84/0.90 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB))
% 0.84/0.90 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.84/0.90 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_substs__lemma_0,axiom,
% 0.84/0.90 ( c_Type_Otypings(V_e,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.84/0.90 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 0.84/0.90 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__lt_0,axiom,
% 0.84/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.84/0.90 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__Var_2,axiom,
% 0.84/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.84/0.90 | V_i = V_k
% 0.84/0.90 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__Var_1,axiom,
% 0.84/0.90 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.84/0.90 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_lifts__IT_0,axiom,
% 0.84/0.90 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.84/0.90 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_var__app__type__eq_0,axiom,
% 0.84/0.90 ( V_T = V_U
% 0.84/0.90 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.84/0.90 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.84/0.90 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.84/0.90 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.84/0.90 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.84/0.90 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_IT_OVar_0,axiom,
% 0.84/0.90 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.84/0.90 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Beta_0,axiom,
% 0.84/0.90 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.84/0.90 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.84/0.90 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_lift__map_0,axiom,
% 0.84/0.90 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__App_0,axiom,
% 0.84/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.84/0.90 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.84/0.90 | V_nat = V_nat_H ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_m = V_n ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_rs = V_ss ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__eq_0,axiom,
% 0.84/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_n__not__Suc__n_0,axiom,
% 0.84/0.90 V_n != c_Suc(V_n) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Suc__n__not__n_0,axiom,
% 0.84/0.90 c_Suc(V_n) != V_n ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.84/0.90 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.84/0.90 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.84/0.90 | V_dB1 = V_dB1_H ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.84/0.90 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.84/0.90 | V_dB2 = V_dB2_H ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.84/0.90 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.84/0.90 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Oinject_0,axiom,
% 0.84/0.90 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.84/0.90 | V_nat = V_nat_H ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Suc__inject_0,axiom,
% 0.84/0.90 ( c_Suc(V_x) != c_Suc(V_y)
% 0.84/0.90 | V_x = V_y ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_subst__map_0,axiom,
% 0.84/0.90 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.84/0.90 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.84/0.90 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_COMBC__def_0,axiom,
% 0.84/0.90 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.84/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/0.90 | V_r = V_s ) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.84/0.90 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_conjecture_0,negated_conjecture,
% 0.84/0.90 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_conjecture_1,negated_conjecture,
% 0.84/0.90 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(V_i))),c_Suc(V_j))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(V_i)),V_j)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_j,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_conjecture_2,negated_conjecture,
% 0.84/0.90 hBOOL(hAPP(c_InductTermi_OIT,v_s)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_conjecture_3,negated_conjecture,
% 0.84/0.90 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(V_i)),V_j))) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_conjecture_4,negated_conjecture,
% 0.84/0.90 ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.84/0.90 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.84/0.90 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.84/0.90 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.84/0.90 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.84/0.90 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.84/0.90 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.84/0.90 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.84/0.90 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.84/0.90 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.84/0.90 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.84/0.90 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.84/0.90 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.84/0.90 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.84/0.90 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.84/0.90 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.84/0.90 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.84/0.90 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.84/0.90 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.84/0.90 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.84/0.90 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.84/0.90 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.84/0.90 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.84/0.90 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.84/0.90 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.84/0.90 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.84/0.90 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.84/0.90 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.84/0.90 class_Divides_Osemiring__div(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.84/0.90 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 0.84/0.90 class_Ring__and__Field_Odvd(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.84/0.90 class_Orderings_Opreorder(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.84/0.90 class_Orderings_Olinorder(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.84/0.90 class_Orderings_Oorder(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(clsarity_nat__Power_Opower,axiom,
% 0.84/0.90 class_Power_Opower(tc_nat) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.84/0.90 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.84/0.90 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.84/0.90 c_fequal(V_x,V_x,T_a) ).
% 0.84/0.90
% 0.84/0.90 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.84/0.90 ( V_X = V_Y
% 0.84/0.90 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.84/0.90
% 0.84/0.90 %------------------------------------------------------------------------------
% 0.84/0.90 %-------------------------------------------
% 0.84/0.90 % Proof found
% 0.84/0.90 % SZS status Theorem for theBenchmark
% 0.84/0.90 % SZS output start Proof
% 0.84/0.90 %ClaNum:785(EqnAxiom:136)
% 0.84/0.90 %VarNum:3745(SingletonVarNum:1427)
% 0.84/0.90 %MaxLitNum:6
% 0.84/0.90 %MaxfuncDepth:6
% 0.84/0.90 %SharedTerms:96
% 0.84/0.90 %goalClause: 169 231 267 270 293
% 0.84/0.90 %singleGoalClaCount:5
% 0.84/0.90 [137]P1(a1)
% 0.84/0.90 [138]P2(a1)
% 0.84/0.90 [139]P25(a1)
% 0.84/0.90 [140]P26(a1)
% 0.84/0.90 [141]P44(a1)
% 0.84/0.90 [142]P10(a1)
% 0.84/0.90 [143]P27(a1)
% 0.84/0.90 [144]P11(a1)
% 0.84/0.90 [145]P15(a1)
% 0.84/0.90 [146]P28(a1)
% 0.84/0.90 [147]P31(a1)
% 0.84/0.90 [148]P32(a1)
% 0.84/0.90 [149]P34(a1)
% 0.84/0.90 [150]P20(a1)
% 0.84/0.90 [151]P12(a1)
% 0.84/0.90 [152]P16(a1)
% 0.84/0.90 [153]P19(a1)
% 0.84/0.90 [154]P41(a1)
% 0.84/0.90 [155]P35(a1)
% 0.84/0.90 [156]P46(a1)
% 0.84/0.90 [157]P36(a1)
% 0.84/0.90 [158]P37(a1)
% 0.84/0.90 [159]P29(a1)
% 0.84/0.90 [160]P23(a1)
% 0.84/0.90 [161]P21(a1)
% 0.84/0.90 [162]P45(a1)
% 0.84/0.90 [163]P30(a1)
% 0.84/0.90 [164]P24(a1)
% 0.84/0.90 [165]P17(a1)
% 0.84/0.90 [166]P33(a1)
% 0.84/0.90 [169]P47(f31(a16,a38))
% 0.84/0.90 [225]E(f15(f31(f31(f4(a1),f3(a1)),f5(a1)),f31(f31(f4(a1),f3(a1)),f5(a1)),a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [267]P47(f31(a16,f27(a18,f31(f31(f31(a24,a39),a38),f3(a1)),a42,a21,a21)))
% 0.84/0.90 [293]~P47(f31(a16,f27(a18,f31(f31(f31(a24,f31(f31(f31(a24,a39),f2(f31(f31(f4(a1),a40),f5(a1)))),f31(f31(f4(a1),a41),f5(a1)))),f31(f31(f31(a24,a38),f2(a40)),a41)),f3(a1)),f29(f8(f8(a24,f2(a40),a21,a21,f36(a1,a21)),a41,a21,a1,a21),a42,a21,a21),a21,a21)))
% 0.84/0.90 [172]P3(x1721,x1721,a1)
% 0.84/0.90 [285]~P5(x2851,x2851,a1)
% 0.84/0.90 [287]~P5(x2871,f3(a1),a1)
% 0.84/0.90 [167]E(f19(f2(x1671)),f3(a1))
% 0.84/0.90 [168]E(f22(f2(x1681),a21),f3(a1))
% 0.84/0.90 [171]E(f31(f31(f4(a1),x1711),f3(a1)),x1711)
% 0.84/0.90 [175]E(f15(x1751,f5(a1),a1),x1751)
% 0.84/0.90 [176]E(f15(f5(a1),x1761,a1),x1761)
% 0.84/0.90 [179]E(f15(x1791,f3(a1),a1),f3(a1))
% 0.84/0.90 [180]E(f32(x1801,f3(a1),a1),f5(a1))
% 0.84/0.90 [181]E(f15(f3(a1),x1811,a1),f3(a1))
% 0.84/0.90 [191]E(f32(x1911,f3(a1),a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [196]P5(x1961,f31(f31(f4(a1),x1961),f5(a1)),a1)
% 0.84/0.90 [198]P5(f3(a1),f31(f31(f4(a1),x1981),f5(a1)),a1)
% 0.84/0.90 [200]P3(f31(f31(f4(a1),f3(a1)),f5(a1)),x2001,a1)
% 0.84/0.90 [204]P5(f3(a1),f32(x2041,f3(a1),a1),a1)
% 0.84/0.90 [279]~E(f31(f31(f4(a1),x2791),f5(a1)),x2791)
% 0.84/0.90 [283]~E(f31(f31(f4(a1),x2831),f5(a1)),f3(a1))
% 0.84/0.90 [173]E(f31(f31(f4(a1),f3(a1)),x1731),x1731)
% 0.84/0.90 [201]E(f7(x2011,f31(f31(f4(a1),f3(a1)),f5(a1)),a1),x2011)
% 0.84/0.90 [202]E(f6(x2021,f31(f31(f4(a1),f3(a1)),f5(a1)),a1),f3(a1))
% 0.84/0.90 [205]E(f31(f31(f4(a1),f19(x2051)),f31(f31(f4(a1),f3(a1)),f5(a1))),f19(f17(x2051)))
% 0.84/0.90 [209]E(f32(f31(f31(f4(a1),f3(a1)),f5(a1)),x2091,a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [210]E(f31(f31(f4(a1),f22(x2101,a21)),f31(f31(f4(a1),f3(a1)),f5(a1))),f22(f17(x2101),a21))
% 0.84/0.90 [174]P7(x1741,x1741,x1742)
% 0.84/0.90 [183]P4(x1831,f23(x1832),x1832)
% 0.84/0.90 [186]P8(x1861,f2(x1862),f31(x1861,x1862))
% 0.84/0.90 [189]E(f15(x1891,x1892,a1),f15(x1892,x1891,a1))
% 0.84/0.90 [272]~E(f17(x2721),f2(x2722))
% 0.84/0.90 [273]~P6(f2(x2731),x2732)
% 0.84/0.90 [192]E(f15(x1921,f3(a1),a1),f15(x1922,f3(a1),a1))
% 0.84/0.90 [193]E(f15(f3(a1),x1931,a1),f15(f3(a1),x1932,a1))
% 0.84/0.90 [194]E(f31(f31(f31(a24,x1941),x1942),f3(a1)),f26(x1941,x1942,f3(a1)))
% 0.84/0.90 [199]E(f6(f15(x1991,x1992,a1),x1991,a1),f3(a1))
% 0.84/0.90 [215]P3(f15(f3(a1),x2151,a1),f15(f3(a1),x2152,a1),a1)
% 0.84/0.90 [241]P5(x2411,f31(f31(f4(a1),f31(f31(f4(a1),x2412),x2411)),f5(a1)),a1)
% 0.84/0.90 [243]P5(x2431,f31(f31(f4(a1),f31(f31(f4(a1),x2431),x2432)),f5(a1)),a1)
% 0.84/0.90 [187]E(f31(f31(f4(a1),x1871),x1872),f31(f31(f4(a1),x1872),x1871))
% 0.84/0.90 [216]E(f7(f15(f3(a1),x2161,a1),f15(f3(a1),x2162,a1),a1),f3(a1))
% 0.84/0.90 [217]P6(f31(f31(a18,f17(x2171)),x2172),f31(f31(f31(a24,x2171),x2172),f3(a1)))
% 0.84/0.90 [218]E(f15(x2181,f31(f31(f4(a1),x2182),f5(a1)),a1),f31(f31(f4(a1),x2181),f15(x2181,x2182,a1)))
% 0.84/0.90 [219]E(f15(f31(f31(f4(a1),x2191),f5(a1)),x2192,a1),f31(f31(f4(a1),x2192),f15(x2191,x2192,a1)))
% 0.84/0.90 [237]E(f31(f31(f4(a1),f31(f31(f4(a1),f19(x2371)),f19(x2372))),f31(f31(f4(a1),f3(a1)),f5(a1))),f19(f31(f31(a18,x2371),x2372)))
% 0.84/0.90 [245]E(f31(f31(f4(a1),f31(f31(f4(a1),f22(x2451,a21)),f22(x2452,a21))),f31(f31(f4(a1),f3(a1)),f5(a1))),f22(f31(f31(a18,x2451),x2452),a21))
% 0.84/0.90 [246]E(f6(f31(f31(f4(a1),f6(x2461,x2462,a1)),f5(a1)),x2462,a1),f6(f31(f31(f4(a1),x2461),f5(a1)),x2462,a1))
% 0.84/0.90 [289]~P5(f31(f31(f4(a1),x2891),x2892),x2892,a1)
% 0.84/0.90 [290]~P5(f31(f31(f4(a1),x2901),x2902),x2901,a1)
% 0.84/0.90 [190]E(f31(f31(f31(a24,f2(x1901)),x1902),x1901),x1902)
% 0.84/0.90 [222]E(f17(f31(f31(a25,x2221),f31(f31(f4(a1),x2222),f5(a1)))),f31(f31(a25,f17(x2221)),x2222))
% 0.84/0.90 [230]E(f31(f31(f4(a1),f31(f31(f4(a1),x2301),f5(a1))),x2302),f31(f31(f4(a1),x2301),f31(f31(f4(a1),x2302),f5(a1))))
% 0.84/0.90 [231]P47(f31(a16,f31(f31(f31(a24,a38),f2(x2311)),x2312)))
% 0.84/0.90 [235]E(f31(f31(f4(a1),f31(f31(f4(a1),x2351),f5(a1))),x2352),f31(f31(f4(a1),f31(f31(f4(a1),x2351),x2352)),f5(a1)))
% 0.84/0.90 [270]P47(f31(a16,f27(a18,f31(f31(f31(a24,f31(f31(f31(a24,a39),f2(f31(f31(f4(a1),x2701),f5(a1)))),f31(f31(f4(a1),x2702),f5(a1)))),f31(f31(f31(a24,a38),f2(x2701)),x2702)),f3(a1)),f29(f8(f8(a24,f2(x2701),a21,a21,f36(a1,a21)),x2702,a21,a1,a21),a42,a21,a21),a21,a21)))
% 0.84/0.90 [212]E(f29(x2121,f23(x2122),x2122,x2123),f23(x2123))
% 0.84/0.90 [220]E(f7(f7(x2201,x2202,a1),x2203,a1),f7(x2201,f15(x2202,x2203,a1),a1))
% 0.84/0.90 [221]E(f15(f15(x2211,x2212,a1),x2213,a1),f15(x2211,f15(x2212,x2213,a1),a1))
% 0.84/0.90 [232]E(f6(f15(x2321,x2322,a1),f15(x2321,x2323,a1),a1),f15(x2321,f6(x2322,x2323,a1),a1))
% 0.84/0.90 [233]E(f6(f15(x2331,x2332,a1),f15(x2333,x2332,a1),a1),f15(f6(x2331,x2333,a1),x2332,a1))
% 0.84/0.90 [262]E(f31(f31(f4(a1),f15(x2621,f6(f7(x2622,x2621,a1),x2623,a1),a1)),f6(x2622,x2621,a1)),f6(x2622,f15(x2621,x2623,a1),a1))
% 0.84/0.90 [274]~E(f2(x2741),f31(f31(a18,x2742),x2743))
% 0.84/0.90 [275]~E(f17(x2751),f31(f31(a18,x2752),x2753))
% 0.84/0.90 [276]~E(f31(f31(a18,x2761),x2762),f2(x2763))
% 0.84/0.90 [277]~E(f31(f31(a18,x2771),x2772),f17(x2773))
% 0.84/0.90 [263]E(f6(f31(f31(f4(a1),f31(f31(f4(a1),f15(x2631,x2632,a1)),x2633)),f5(a1)),x2632,a1),f6(f31(f31(f4(a1),x2633),f5(a1)),x2632,a1))
% 0.84/0.90 [268]E(f27(a18,f31(f31(a25,x2681),x2682),f29(f8(a25,x2682,a21,a1,a21),x2683,a21,a21),a21,a21),f31(f31(a25,f27(a18,x2681,x2683,a21,a21)),x2682))
% 0.84/0.90 [214]E(f31(f31(f4(a1),x2141),f31(f31(f4(a1),x2142),x2143)),f31(f31(f4(a1),x2142),f31(f31(f4(a1),x2141),x2143)))
% 0.84/0.90 [227]E(f17(f26(x2271,x2272,f31(f31(f4(a1),x2273),f5(a1)))),f26(f17(x2271),x2272,x2273))
% 0.84/0.90 [234]E(f31(f31(a18,f31(f31(a25,x2341),x2342)),f31(f31(a25,x2343),x2342)),f31(f31(a25,f31(f31(a18,x2341),x2343)),x2342))
% 0.84/0.90 [238]E(f31(f31(f4(a1),f15(x2381,x2382,a1)),f15(x2381,x2383,a1)),f15(x2381,f31(f31(f4(a1),x2382),x2383),a1))
% 0.84/0.90 [239]E(f31(f31(f4(a1),f15(x2391,x2392,a1)),f15(x2393,x2392,a1)),f15(f31(f31(f4(a1),x2391),x2393),x2392,a1))
% 0.84/0.90 [244]E(f6(f31(f31(f4(a1),f15(x2441,x2442,a1)),x2443),x2442,a1),f6(x2443,x2442,a1))
% 0.84/0.90 [249]E(f17(f31(f31(f31(a24,x2491),f31(f31(a25,x2492),f3(a1))),f31(f31(f4(a1),x2493),f5(a1)))),f31(f31(f31(a24,f17(x2491)),x2492),x2493))
% 0.84/0.90 [260]E(f31(f31(f4(a1),f15(x2601,f7(x2602,x2603,a1),a1)),f7(f15(x2601,f6(x2602,x2603,a1),a1),x2603,a1)),f7(f15(x2601,x2602,a1),x2603,a1))
% 0.84/0.90 [266]E(f31(f31(f4(a1),f31(f31(f4(a1),f7(x2661,x2662,a1)),f7(x2663,x2662,a1))),f7(f31(f31(f4(a1),f6(x2661,x2662,a1)),f6(x2663,x2662,a1)),x2662,a1)),f7(f31(f31(f4(a1),x2661),x2663),x2662,a1))
% 0.84/0.90 [226]E(f31(f31(f4(a1),f31(f31(f4(a1),x2261),x2262)),x2263),f31(f31(f4(a1),x2261),f31(f31(f4(a1),x2262),x2263)))
% 0.84/0.90 [229]E(f31(f31(f31(a24,f31(f31(a25,x2291),x2292)),x2293),x2292),x2291)
% 0.84/0.90 [240]E(f31(f33(x2401,x2402,x2403,x2404),x2402),x2403)
% 0.84/0.90 [251]E(f27(x2511,x2512,f23(x2513),x2514,x2513),x2512)
% 0.84/0.90 [292]~E(f27(a18,f17(x2921),x2922,a21,a21),f27(a18,f2(x2923),x2924,a21,a21))
% 0.84/0.90 [236]E(f31(f31(a18,f26(x2361,x2362,x2363)),f26(x2364,x2362,x2363)),f26(f31(f31(a18,x2361),x2364),x2362,x2363))
% 0.84/0.90 [291]~E(f31(f31(a18,f17(x2911)),x2912),f27(a18,f2(x2913),x2914,a21,a21))
% 0.84/0.90 [250]E(f31(f31(a18,f31(f31(f31(a24,x2501),x2502),x2503)),f31(f31(f31(a24,x2504),x2502),x2503)),f31(f31(f31(a24,f31(f31(a18,x2501),x2504)),x2502),x2503))
% 0.84/0.90 [269]E(f27(a18,f31(f31(f31(a24,x2691),x2692),x2693),f29(f8(f8(a24,x2692,a21,a21,f36(a1,a21)),x2693,a21,a1,a21),x2694,a21,a21),a21,a21),f31(f31(f31(a24,f27(a18,x2691,x2694,a21,a21)),x2692),x2693))
% 0.84/0.90 [259]E(f31(f31(f4(a1),f15(x2591,x2592,a1)),f31(f31(f4(a1),f15(x2593,x2592,a1)),x2594)),f31(f31(f4(a1),f15(f31(f31(f4(a1),x2591),x2593),x2592,a1)),x2594))
% 0.84/0.90 [255]E(f20(x2551,x2552,x2553,f2(x2554),x2555),f31(x2551,x2554))
% 0.84/0.90 [256]E(f20(x2561,x2562,x2563,f17(x2564),x2565),f31(x2563,x2564))
% 0.84/0.90 [261]E(f33(f33(x2611,f3(a1),x2612,x2613),f31(f31(f4(a1),x2614),f5(a1)),x2615,x2613),f33(f33(x2611,x2614,x2615,x2613),f3(a1),x2612,x2613))
% 0.84/0.90 [265]E(f31(f8(x2651,x2652,x2653,x2654,x2655),x2656),f31(f31(x2651,x2656),x2652))
% 0.84/0.90 [258]E(f20(x2581,x2582,x2583,f31(f31(a18,x2584),x2585),x2586),f31(f31(x2582,x2584),x2585))
% 0.84/0.90 [297]~P46(x2971)+~E(f5(x2971),f3(x2971))
% 0.84/0.90 [304]E(x3041,f3(a1))+P5(f3(a1),x3041,a1)
% 0.84/0.90 [346]~P26(x3461)+P5(f3(x3461),f5(x3461),x3461)
% 0.84/0.90 [360]E(x3601,f5(a1))+~P3(x3601,f5(a1),a1)
% 0.84/0.90 [380]~P26(x3801)+~P5(f5(x3801),f3(x3801),x3801)
% 0.84/0.90 [298]~P44(x2981)+E(f30(f3(a1),x2981),f3(x2981))
% 0.84/0.90 [299]~P44(x2991)+E(f30(f5(a1),x2991),f5(x2991))
% 0.84/0.90 [310]E(x3101,f3(a1))+E(f31(f31(f4(a1),f9(x3101)),f5(a1)),x3101)
% 0.84/0.90 [311]E(x3111,f3(a1))+E(f31(f31(f4(a1),f10(x3111)),f5(a1)),x3111)
% 0.84/0.90 [312]E(x3121,f3(a1))+E(f31(f31(f4(a1),f11(x3121)),f5(a1)),x3121)
% 0.84/0.90 [351]~P22(x3511)+E(f31(f31(f4(x3511),f3(x3511)),f3(x3511)),f3(x3511))
% 0.84/0.90 [353]~P47(f31(a16,x3531))+P47(f31(a16,f17(x3531)))
% 0.84/0.90 [457]~P26(x4571)+P5(f3(x4571),f31(f31(f4(x4571),f5(x4571)),f5(x4571)),x4571)
% 0.84/0.90 [491]~P5(f3(a1),x4911,a1)+P3(f15(x4911,f5(a1),a1),x4911,a1)
% 0.84/0.90 [492]~P5(f3(a1),x4921,a1)+P3(f15(f5(a1),x4921,a1),x4921,a1)
% 0.84/0.90 [501]E(x5011,f3(a1))+~P5(x5011,f31(f31(f4(a1),f3(a1)),f5(a1)),a1)
% 0.84/0.90 [531]~P3(x5311,f31(f31(f4(a1),f3(a1)),f5(a1)),a1)+E(x5311,f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [636]~P40(x6361)+E(f31(f31(f4(x6361),f15(f3(x6361),f3(x6361),x6361)),f15(f3(x6361),f3(x6361),x6361)),f3(x6361))
% 0.84/0.90 [748]~P40(x7481)+~P5(f3(x7481),f31(f31(f4(x7481),f15(f3(x7481),f3(x7481),x7481)),f15(f3(x7481),f3(x7481),x7481)),x7481)
% 0.84/0.90 [775]~P4(a16,x7751,a21)+P4(a16,f29(f8(a25,f3(a1),a21,a1,a21),x7751,a21,a21),a21)
% 0.84/0.90 [305]~P27(x3052)+P3(x3051,x3051,x3052)
% 0.84/0.90 [362]~P5(x3622,x3622,x3621)+~P28(x3621)
% 0.84/0.90 [363]~P5(x3632,x3632,x3631)+~P31(x3631)
% 0.84/0.90 [364]~P5(x3642,x3642,x3641)+~P29(x3641)
% 0.84/0.90 [294]E(x2941,x2942)+~E(f2(x2941),f2(x2942))
% 0.84/0.90 [295]E(x2951,x2952)+~E(f17(x2951),f17(x2952))
% 0.84/0.90 [300]~P28(x3002)+P28(f36(x3001,x3002))
% 0.84/0.90 [301]~P31(x3012)+P31(f36(x3011,x3012))
% 0.84/0.90 [302]~P6(x3021,x3022)+P6(f17(x3021),f17(x3022))
% 0.84/0.90 [306]~P18(x3062)+E(f15(x3061,x3061,x3062),x3061)
% 0.84/0.90 [307]~P2(x3072)+E(f6(x3071,x3071,x3072),f3(x3072))
% 0.84/0.90 [316]~P27(x3162)+P3(x3161,f3(x3162),x3162)
% 0.84/0.90 [317]~P27(x3171)+P3(f5(x3171),x3172,x3171)
% 0.84/0.90 [358]E(x3581,f5(a1))+~E(f15(x3582,x3581,a1),f5(a1))
% 0.84/0.90 [359]E(x3591,f5(a1))+~E(f15(x3591,x3592,a1),f5(a1))
% 0.84/0.90 [400]~P5(x4001,x4002,a1)+E(f6(x4001,x4002,a1),x4001)
% 0.84/0.90 [401]~P5(x4011,x4012,a1)+E(f7(x4011,x4012,a1),f3(a1))
% 0.84/0.90 [402]~P26(x4021)+~P5(f30(x4022,x4021),f3(x4021),x4021)
% 0.84/0.90 [487]P5(f6(x4871,x4872,a1),x4872,a1)+~P5(f3(a1),x4872,a1)
% 0.84/0.90 [490]~P5(f3(a1),x4901,a1)+P5(f3(a1),f32(x4901,x4902,a1),a1)
% 0.84/0.90 [506]~P40(x5061)+~P5(f15(x5062,x5062,x5061),f3(x5061),x5061)
% 0.84/0.90 [528]P5(f3(a1),x5281,a1)+~P5(f3(a1),f15(x5282,x5281,a1),a1)
% 0.84/0.90 [529]P5(f3(a1),x5291,a1)+~P5(f3(a1),f15(x5291,x5292,a1),a1)
% 0.84/0.90 [308]~P10(x3082)+E(f32(x3081,f5(a1),x3082),x3081)
% 0.84/0.90 [309]~P27(x3092)+E(f32(x3091,f5(a1),x3092),x3091)
% 0.84/0.90 [313]~P27(x3131)+E(f31(f31(f4(x3131),x3132),f3(x3131)),x3132)
% 0.84/0.90 [314]~P15(x3141)+E(f31(f31(f4(x3141),x3142),f3(x3141)),x3142)
% 0.84/0.90 [315]~P21(x3151)+E(f31(f31(f4(x3151),x3152),f3(x3151)),x3152)
% 0.84/0.90 [318]~P10(x3182)+E(f15(x3181,f5(x3182),x3182),x3181)
% 0.84/0.90 [319]~P27(x3192)+E(f15(x3191,f5(x3192),x3192),x3191)
% 0.84/0.90 [320]~P2(x3202)+E(f6(x3201,f3(x3202),x3202),x3201)
% 0.84/0.90 [321]~P2(x3212)+E(f7(x3211,f5(x3212),x3212),x3211)
% 0.84/0.90 [322]~P10(x3221)+E(f15(f5(x3221),x3222,x3221),x3222)
% 0.84/0.90 [324]~P27(x3241)+E(f15(f5(x3241),x3242,x3241),x3242)
% 0.84/0.90 [325]~P20(x3251)+E(f15(f5(x3251),x3252,x3251),x3252)
% 0.84/0.90 [326]~P27(x3262)+E(f32(x3261,f3(a1),x3262),f5(x3262))
% 0.84/0.90 [327]~P32(x3272)+E(f32(x3271,f3(a1),x3272),f5(x3272))
% 0.84/0.90 [329]~P27(x3292)+E(f15(x3291,f3(x3292),x3292),f3(x3292))
% 0.84/0.90 [330]~P37(x3302)+E(f15(x3301,f3(x3302),x3302),f3(x3302))
% 0.84/0.90 [331]~P42(x3312)+E(f15(x3311,f3(x3312),x3312),f3(x3312))
% 0.84/0.90 [332]~P2(x3322)+E(f6(x3321,f5(x3322),x3322),f3(x3322))
% 0.84/0.90 [333]~P2(x3332)+E(f7(x3331,f3(x3332),x3332),f3(x3332))
% 0.84/0.90 [335]~P27(x3351)+E(f15(f3(x3351),x3352,x3351),f3(x3351))
% 0.84/0.90 [336]~P37(x3361)+E(f15(f3(x3361),x3362,x3361),f3(x3361))
% 0.84/0.90 [337]~P42(x3371)+E(f15(f3(x3371),x3372,x3371),f3(x3371))
% 0.84/0.90 [338]~P2(x3381)+E(f6(f3(x3381),x3382,x3381),f3(x3381))
% 0.84/0.90 [339]~P2(x3391)+E(f7(f3(x3391),x3392,x3391),f3(x3391))
% 0.84/0.90 [340]~P10(x3401)+E(f32(f5(x3401),x3402,x3401),f5(x3401))
% 0.84/0.90 [438]~P26(x4382)+P5(x4381,f31(f31(f4(x4382),x4381),f5(x4382)),x4382)
% 0.84/0.90 [453]P5(x4531,x4532,a1)+P5(x4532,f31(f31(f4(a1),x4531),f5(a1)),a1)
% 0.84/0.90 [469]E(x4691,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f15(x4692,x4691,a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [470]E(x4701,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f15(x4701,x4702,a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [488]~P5(f3(a1),x4882,a1)+E(f7(f15(x4881,x4882,a1),x4882,a1),x4881)
% 0.84/0.90 [489]~P5(f3(a1),x4891,a1)+E(f7(f15(x4891,x4892,a1),x4891,a1),x4892)
% 0.84/0.90 [542]~P5(x5421,x5422,a1)+~P5(x5422,f31(f31(f4(a1),x5421),f5(a1)),a1)
% 0.84/0.90 [629]P5(x6291,x6292,a1)+~P5(f31(f31(f4(a1),x6291),f5(a1)),f31(f31(f4(a1),x6292),f5(a1)),a1)
% 0.84/0.90 [342]~P27(x3421)+E(f31(f31(f4(x3421),f3(x3421)),x3422),x3422)
% 0.84/0.90 [343]~P15(x3431)+E(f31(f31(f4(x3431),f3(x3431)),x3432),x3432)
% 0.84/0.90 [344]~P21(x3441)+E(f31(f31(f4(x3441),f3(x3441)),x3442),x3442)
% 0.84/0.90 [348]E(x3481,f3(a1))+~E(f31(f31(f4(a1),x3482),x3481),x3482)
% 0.84/0.90 [349]E(x3491,f3(a1))+~E(f31(f31(f4(a1),x3492),x3491),f3(a1))
% 0.84/0.90 [350]E(x3501,f3(a1))+~E(f31(f31(f4(a1),x3501),x3502),f3(a1))
% 0.84/0.90 [399]~P5(x3991,x3992,a1)+E(f31(f31(a25,f2(x3991)),x3992),f2(x3991))
% 0.84/0.90 [455]P5(x4551,x4552,a1)+E(f31(f31(a25,f2(x4551)),x4552),f2(f31(f31(f4(a1),x4551),f5(a1))))
% 0.84/0.90 [458]~P44(x4582)+E(f30(f31(f31(f4(a1),x4581),f5(a1)),x4582),f31(f31(f4(x4582),f5(x4582)),f30(x4581,x4582)))
% 0.84/0.90 [459]~P47(f31(a16,x4591))+P47(f31(a16,f31(f31(a25,x4591),x4592)))
% 0.84/0.90 [475]~P3(x4751,x4752,a1)+P3(x4751,f31(f31(f4(a1),x4752),x4751),a1)
% 0.84/0.90 [493]~P27(x4931)+E(f31(f31(f4(x4931),x4932),x4932),f15(f31(f31(f4(x4931),f5(x4931)),f5(x4931)),x4932,x4931))
% 0.84/0.90 [512]P3(x5121,x5122,a1)+~P3(x5121,f31(f31(f4(a1),x5122),x5121),a1)
% 0.84/0.90 [520]~P47(f31(x5201,x5202))+P47(f31(x5201,f6(x5202,f3(a1),a1)))
% 0.84/0.90 [527]~P47(f31(x5271,f3(a1)))+P47(f31(x5271,f7(x5272,f3(a1),a1)))
% 0.84/0.90 [612]P47(f31(x6121,x6122))+~P47(f31(x6121,f6(x6122,f3(a1),a1)))
% 0.84/0.90 [615]P47(f31(x6151,f3(a1)))+~P47(f31(x6151,f7(x6152,f3(a1),a1)))
% 0.84/0.90 [696]~E(f31(f31(f4(a1),f6(x6961,x6962,a1)),f5(a1)),x6962)+E(f6(f31(f31(f4(a1),x6961),f5(a1)),x6962,a1),f3(a1))
% 0.84/0.90 [711]~P5(f5(a1),x7111,a1)+E(f6(f31(f31(f4(a1),f15(x7111,x7112,a1)),f5(a1)),x7111,a1),f5(a1))
% 0.84/0.90 [714]E(f31(f31(f4(a1),f6(x7141,x7142,a1)),f5(a1)),x7142)+E(f6(f31(f31(f4(a1),x7141),f5(a1)),x7142,a1),f31(f31(f4(a1),f6(x7141,x7142,a1)),f5(a1)))
% 0.84/0.90 [745]~P5(f3(a1),x7452,a1)+P5(x7451,f15(x7452,f31(f31(f4(a1),f7(x7451,x7452,a1)),f5(a1)),a1),a1)
% 0.84/0.90 [773]~P4(a16,x7732,a21)+P47(f31(a16,f27(a18,f2(x7731),x7732,a21,a21)))
% 0.84/0.90 [355]E(x3551,x3552)+~P7(x3551,x3552,x3553)
% 0.84/0.90 [376]~P8(x3761,f2(x3762),x3763)+E(f31(x3761,x3762),x3763)
% 0.84/0.90 [382]~P27(x3823)+E(f15(x3821,x3822,x3823),f15(x3822,x3821,x3823))
% 0.84/0.90 [415]~P27(x4153)+P3(x4151,f15(x4152,x4151,x4153),x4153)
% 0.84/0.90 [416]~P27(x4163)+P3(x4161,f15(x4161,x4162,x4163),x4163)
% 0.84/0.90 [417]~P34(x4173)+P3(x4171,f15(x4171,x4172,x4173),x4173)
% 0.84/0.90 [575]~P3(x5752,x5753,a1)+P3(f15(x5751,x5752,a1),f15(x5751,x5753,a1),a1)
% 0.84/0.90 [649]P5(x6491,x6492,a1)+~P5(f15(x6493,x6491,a1),f15(x6493,x6492,a1),a1)
% 0.84/0.90 [650]P5(x6501,x6502,a1)+~P5(f15(x6501,x6503,a1),f15(x6502,x6503,a1),a1)
% 0.84/0.90 [651]~P5(f15(x6512,x6511,a1),f15(x6513,x6511,a1),a1)+P5(f3(a1),x6511,a1)
% 0.84/0.90 [652]~P5(f15(x6521,x6522,a1),f15(x6521,x6523,a1),a1)+P5(f3(a1),x6521,a1)
% 0.84/0.90 [751]~E(f2(x7512),f27(a18,x7513,x7511,a21,a21))+E(x7511,f23(a21))
% 0.84/0.90 [752]~E(f17(x7522),f27(a18,x7523,x7521,a21,a21))+E(x7521,f23(a21))
% 0.84/0.90 [753]~E(f27(a18,x7532,x7531,a21,a21),f17(x7533))+E(x7531,f23(a21))
% 0.84/0.90 [755]E(x7551,f17(x7552))+~E(f27(a18,x7551,x7553,a21,a21),f17(x7552))
% 0.84/0.90 [756]E(f2(x7561),x7562)+~E(f2(x7561),f27(a18,x7562,x7563,a21,a21))
% 0.84/0.90 [757]E(f17(x7571),x7572)+~E(f17(x7571),f27(a18,x7572,x7573,a21,a21))
% 0.84/0.90 [765]E(x7651,x7652)+~E(f27(a18,x7651,x7653,a21,a21),f27(a18,x7652,x7653,a21,a21))
% 0.84/0.90 [772]~P6(x7721,x7723)+P6(f27(a18,x7721,x7722,a21,a21),f27(a18,x7723,x7722,a21,a21))
% 0.84/0.90 [426]~P2(x4263)+E(f6(f15(x4261,x4262,x4263),x4262,x4263),f3(x4263))
% 0.84/0.90 [427]~P2(x4273)+E(f6(f15(x4271,x4272,x4273),x4271,x4273),f3(x4273))
% 0.84/0.90 [428]~P2(x4283)+E(f7(f6(x4281,x4282,x4283),x4282,x4283),f3(x4283))
% 0.84/0.90 [443]~P6(x4431,x4433)+P6(f31(f31(a25,x4431),x4432),f31(f31(a25,x4433),x4432))
% 0.84/0.90 [444]~P6(x4441,x4443)+P6(f31(f31(a18,x4441),x4442),f31(f31(a18,x4443),x4442))
% 0.84/0.90 [445]~P6(x4452,x4453)+P6(f31(f31(a18,x4451),x4452),f31(f31(a18,x4451),x4453))
% 0.84/0.90 [456]~P44(x4562)+E(f32(f30(x4561,x4562),x4563,x4562),f30(f32(x4561,x4563,a1),x4562))
% 0.84/0.90 [467]~P18(x4673)+E(f15(x4671,f15(x4671,x4672,x4673),x4673),f15(x4671,x4672,x4673))
% 0.84/0.90 [468]~P2(x4683)+E(f6(f6(x4681,x4682,x4683),x4682,x4683),f6(x4681,x4682,x4683))
% 0.84/0.90 [479]~P44(x4792)+E(f15(f30(x4791,x4792),f30(x4793,x4792),x4792),f30(f15(x4791,x4793,a1),x4792))
% 0.84/0.90 [521]~P38(x5212)+P3(f15(x5211,f3(x5212),x5212),f15(x5213,f3(x5212),x5212),x5212)
% 0.84/0.90 [522]~P38(x5221)+P3(f15(f3(x5221),x5222,x5221),f15(f3(x5221),x5223,x5221),x5221)
% 0.84/0.90 [538]E(x5381,f3(a1))+E(f7(f15(x5381,x5382,a1),f15(x5381,x5383,a1),a1),f7(x5382,x5383,a1))
% 0.84/0.90 [562]~P10(x5623)+E(f15(f32(x5621,x5622,x5623),x5621,x5623),f15(x5621,f32(x5621,x5622,x5623),x5623))
% 0.84/0.90 [600]~P5(f3(a1),x6001,a1)+E(f7(f15(x6001,x6002,a1),f15(x6001,x6003,a1),a1),f7(x6002,x6003,a1))
% 0.84/0.90 [732]~P2(x7321)+E(f31(f31(f4(x7321),f15(x7322,f7(x7323,x7322,x7321),x7321)),f6(x7323,x7322,x7321)),x7323)
% 0.84/0.90 [733]~P2(x7331)+E(f31(f31(f4(x7331),f15(f7(x7332,x7333,x7331),x7333,x7331)),f6(x7332,x7333,x7331)),x7332)
% 0.84/0.90 [746]~P40(x7461)+~P5(f31(f31(f4(x7461),f15(x7462,x7462,x7461)),f15(x7463,x7463,x7461)),f3(x7461),x7461)
% 0.84/0.90 [758]E(f31(f31(a18,x7581),x7582),x7583)+~E(f31(f31(a18,x7581),x7582),f27(a18,x7583,f23(a21),a21,a21))
% 0.84/0.90 [774]~P6(f27(a18,f2(x7741),x7742,a21,a21),x7743)+E(f27(a18,f2(x7741),f28(x7741,x7742,x7743),a21,a21),x7743)
% 0.84/0.90 [378]~P27(x3781)+E(f31(f31(f4(x3781),x3782),x3783),f31(f31(f4(x3781),x3783),x3782))
% 0.84/0.90 [379]~P15(x3791)+E(f31(f31(f4(x3791),x3792),x3793),f31(f31(f4(x3791),x3793),x3792))
% 0.84/0.90 [404]E(x4041,x4042)+~E(f31(f31(f4(a1),x4043),x4041),f31(f31(f4(a1),x4043),x4042))
% 0.84/0.90 [405]E(x4051,x4052)+~E(f31(f31(f4(a1),x4051),x4053),f31(f31(f4(a1),x4052),x4053))
% 0.84/0.90 [472]~P5(x4721,x4723,a1)+P5(x4721,f31(f31(f4(a1),x4722),x4723),a1)
% 0.84/0.90 [474]~P5(x4741,x4742,a1)+P5(x4741,f31(f31(f4(a1),x4742),x4743),a1)
% 0.84/0.90 [513]P5(x5131,x5132,a1)+~P5(f31(f31(f4(a1),x5131),x5133),x5132,a1)
% 0.84/0.90 [523]~P2(x5231)+E(f7(f15(f3(x5231),x5232,x5231),f15(f3(x5231),x5233,x5231),x5231),f3(x5231))
% 0.84/0.90 [539]~P5(x5391,x5393,a1)+P5(f31(f31(f4(a1),x5391),x5392),f31(f31(f4(a1),x5393),x5392),a1)
% 0.84/0.90 [540]~P5(x5402,x5403,a1)+P5(f31(f31(f4(a1),x5401),x5402),f31(f31(f4(a1),x5401),x5403),a1)
% 0.84/0.90 [543]~P27(x5433)+E(f15(x5431,f32(x5431,x5432,x5433),x5433),f32(x5431,f31(f31(f4(a1),x5432),f5(a1)),x5433))
% 0.84/0.90 [544]~P27(x5443)+E(f15(f32(x5441,x5442,x5443),x5441,x5443),f32(x5441,f31(f31(f4(a1),x5442),f5(a1)),x5443))
% 0.84/0.90 [546]~P27(x5463)+E(f32(x5461,f31(f31(f4(a1),x5462),f5(a1)),x5463),f15(x5461,f32(x5461,x5462,x5463),x5463))
% 0.84/0.90 [547]~P32(x5473)+E(f32(x5471,f31(f31(f4(a1),x5472),f5(a1)),x5473),f15(x5471,f32(x5471,x5472,x5473),x5473))
% 0.84/0.90 [548]~P10(x5483)+E(f32(x5481,f31(f31(f4(a1),x5482),f5(a1)),x5483),f15(f32(x5481,x5482,x5483),x5481,x5483))
% 0.84/0.90 [565]~P27(x5651)+E(f31(f31(f4(x5651),x5652),f15(x5653,x5652,x5651)),f15(f31(f31(f4(x5651),x5653),f5(x5651)),x5652,x5651))
% 0.84/0.90 [611]P5(x6111,x6112,a1)+~P5(f31(f31(f4(a1),x6113),x6111),f31(f31(f4(a1),x6113),x6112),a1)
% 0.84/0.90 [632]~P27(x6321)+E(f31(f31(f4(x6321),f15(x6322,x6323,x6321)),x6323),f15(f31(f31(f4(x6321),x6322),f5(x6321)),x6323,x6321))
% 0.84/0.90 [656]E(x6561,x6562)+~E(f15(f31(f31(f4(a1),x6563),f5(a1)),x6561,a1),f15(f31(f31(f4(a1),x6563),f5(a1)),x6562,a1))
% 0.84/0.90 [704]~P2(x7041)+E(f31(f31(f4(x7041),f6(x7042,x7043,x7041)),f15(f7(x7042,x7043,x7041),x7043,x7041)),x7042)
% 0.84/0.90 [724]~P5(x7242,x7243,a1)+P5(f15(f31(f31(f4(a1),x7241),f5(a1)),x7242,a1),f15(f31(f31(f4(a1),x7241),f5(a1)),x7243,a1),a1)
% 0.84/0.90 [764]~P21(x7641)+E(f31(f31(f4(x7641),x7642),f27(f4(x7641),f3(x7641),x7643,x7641,x7641)),f27(f4(x7641),x7642,x7643,x7641,x7641))
% 0.84/0.90 [451]~P5(x4511,x4513,a1)+E(f31(f31(f31(a24,f2(x4511)),x4512),x4513),f2(x4511))
% 0.84/0.90 [460]~P2(x4601)+E(f6(f31(f31(f4(x4601),x4602),x4603),x4603,x4601),f6(x4602,x4603,x4601))
% 0.84/0.90 [461]~P2(x4611)+E(f6(f31(f31(f4(x4611),x4612),x4613),x4612,x4611),f6(x4613,x4612,x4611))
% 0.84/0.90 [486]~P44(x4861)+E(f31(f31(f4(x4861),f30(x4862,x4861)),f30(x4863,x4861)),f30(f31(f31(f4(a1),x4862),x4863),x4861))
% 0.84/0.90 [719]~P5(x7192,f31(f31(f4(a1),x7193),f5(a1)),a1)+E(f31(f31(a25,f31(f31(a25,x7191),x7192)),f31(f31(f4(a1),x7193),f5(a1))),f31(f31(a25,f31(f31(a25,x7191),x7193)),x7192))
% 0.84/0.90 [598]~E(f29(x5983,x5981,x5982,x5984),f23(x5984))+E(x5981,f23(x5982))
% 0.84/0.90 [383]E(x3831,x3832)+~E(f31(f31(a18,x3833),x3831),f31(f31(a18,x3834),x3832))
% 0.84/0.90 [384]E(x3841,x3842)+~E(f31(f31(a18,x3841),x3843),f31(f31(a18,x3842),x3844))
% 0.84/0.90 [552]~P27(x5523)+E(f32(f32(x5521,x5522,x5523),x5524,x5523),f32(x5521,f15(x5522,x5524,a1),x5523))
% 0.84/0.90 [553]~P10(x5533)+E(f32(f32(x5531,x5532,x5533),x5534,x5533),f32(x5531,f15(x5532,x5534,a1),x5533))
% 0.84/0.90 [557]~P27(x5574)+E(f15(x5571,f15(x5572,x5573,x5574),x5574),f15(x5572,f15(x5571,x5573,x5574),x5574))
% 0.84/0.90 [560]~P27(x5603)+E(f15(f15(x5601,x5602,x5603),x5604,x5603),f15(x5601,f15(x5602,x5604,x5603),x5603))
% 0.84/0.90 [561]~P17(x5613)+E(f15(f15(x5611,x5612,x5613),x5614,x5613),f15(x5611,f15(x5612,x5614,x5613),x5613))
% 0.84/0.90 [563]~P27(x5633)+E(f15(f15(x5631,x5632,x5633),x5634,x5633),f15(f15(x5631,x5634,x5633),x5632,x5633))
% 0.84/0.90 [624]~P27(x6243)+E(f15(f32(x6241,x6242,x6243),f32(x6244,x6242,x6243),x6243),f32(f15(x6241,x6244,x6243),x6242,x6243))
% 0.84/0.90 [625]~P20(x6253)+E(f15(f32(x6251,x6252,x6253),f32(x6254,x6252,x6253),x6253),f32(f15(x6251,x6254,x6253),x6252,x6253))
% 0.84/0.90 [626]~P2(x6263)+E(f6(f15(x6261,x6262,x6263),f15(x6261,x6264,x6263),x6263),f15(x6261,f6(x6262,x6264,x6263),x6263))
% 0.84/0.90 [627]~P2(x6273)+E(f6(f15(x6271,x6272,x6273),f15(x6274,x6272,x6273),x6273),f15(f6(x6271,x6274,x6273),x6272,x6273))
% 0.84/0.90 [767]E(x7671,x7672)+~E(f27(a18,f2(x7673),x7671,a21,a21),f27(a18,f2(x7674),x7672,a21,a21))
% 0.84/0.90 [768]E(x7681,x7682)+~E(f27(a18,f17(x7683),x7681,a21,a21),f27(a18,f17(x7684),x7682,a21,a21))
% 0.84/0.90 [769]E(x7691,x7692)+~E(f27(a18,f2(x7691),x7693,a21,a21),f27(a18,f2(x7692),x7694,a21,a21))
% 0.84/0.90 [770]E(x7701,x7702)+~E(f27(a18,f17(x7701),x7703,a21,a21),f27(a18,f17(x7702),x7704,a21,a21))
% 0.84/0.90 [595]~P6(x5951,x5954)+P6(f31(f31(f31(a24,x5951),x5952),x5953),f31(f31(f31(a24,x5954),x5952),x5953))
% 0.84/0.90 [616]~P2(x6161)+E(f6(f31(f31(f4(x6161),x6162),f15(x6163,x6164,x6161)),x6164,x6161),f6(x6162,x6164,x6161))
% 0.84/0.90 [617]~P2(x6171)+E(f6(f31(f31(f4(x6171),x6172),f15(x6173,x6174,x6171)),x6173,x6171),f6(x6172,x6173,x6171))
% 0.84/0.90 [681]~P2(x6814)+E(f6(f15(x6811,f6(x6812,x6813,x6814),x6814),x6813,x6814),f6(f15(x6811,x6812,x6814),x6813,x6814))
% 0.84/0.90 [683]~P2(x6833)+E(f6(f15(f6(x6831,x6832,x6833),x6834,x6833),x6832,x6833),f6(f15(x6831,x6834,x6833),x6832,x6833))
% 0.84/0.90 [727]~P2(x7273)+E(f6(f15(f6(x7271,x7272,x7273),f6(x7274,x7272,x7273),x7273),x7272,x7273),f6(f15(x7271,x7274,x7273),x7272,x7273))
% 0.84/0.90 [533]~P14(x5331)+E(f31(f31(f4(x5331),x5332),f31(f31(f4(x5331),x5333),x5334)),f31(f31(f4(x5331),x5333),f31(f31(f4(x5331),x5332),x5334)))
% 0.84/0.90 [534]~P27(x5341)+E(f31(f31(f4(x5341),x5342),f31(f31(f4(x5341),x5343),x5344)),f31(f31(f4(x5341),x5343),f31(f31(f4(x5341),x5342),x5344)))
% 0.84/0.90 [535]~P15(x5351)+E(f31(f31(f4(x5351),x5352),f31(f31(f4(x5351),x5353),x5354)),f31(f31(f4(x5351),x5353),f31(f31(f4(x5351),x5352),x5354)))
% 0.84/0.90 [609]~P27(x6093)+E(f15(f32(x6091,x6092,x6093),f32(x6091,x6094,x6093),x6093),f32(x6091,f31(f31(f4(a1),x6092),x6094),x6093))
% 0.84/0.90 [610]~P10(x6103)+E(f15(f32(x6101,x6102,x6103),f32(x6101,x6104,x6103),x6103),f32(x6101,f31(f31(f4(a1),x6102),x6104),x6103))
% 0.84/0.90 [671]~P2(x6711)+E(f6(f31(f31(f4(x6711),x6712),f6(x6713,x6714,x6711)),x6714,x6711),f6(f31(f31(f4(x6711),x6712),x6713),x6714,x6711))
% 0.84/0.90 [673]~P27(x6731)+E(f31(f31(f4(x6731),f15(x6732,x6733,x6731)),f15(x6732,x6734,x6731)),f15(x6732,f31(f31(f4(x6731),x6733),x6734),x6731))
% 0.84/0.90 [675]~P33(x6751)+E(f31(f31(f4(x6751),f15(x6752,x6753,x6751)),f15(x6754,x6753,x6751)),f15(f31(f31(f4(x6751),x6752),x6754),x6753,x6751))
% 0.84/0.90 [676]~P27(x6761)+E(f31(f31(f4(x6761),f15(x6762,x6763,x6761)),f15(x6764,x6763,x6761)),f15(f31(f31(f4(x6761),x6762),x6764),x6763,x6761))
% 0.84/0.90 [726]~P2(x7261)+E(f6(f31(f31(f4(x7261),f6(x7262,x7263,x7261)),x7264),x7263,x7261),f6(f31(f31(f4(x7261),x7262),x7264),x7263,x7261))
% 0.84/0.90 [736]~P2(x7361)+E(f6(f31(f31(f4(x7361),f6(x7362,x7363,x7361)),f6(x7364,x7363,x7361)),x7363,x7361),f6(f31(f31(f4(x7361),x7362),x7364),x7363,x7361))
% 0.84/0.90 [760]~P2(x7601)+E(f31(f31(f4(x7601),f31(f31(f4(x7601),f15(x7602,f7(x7603,x7602,x7601),x7601)),f6(x7603,x7602,x7601))),x7604),f31(f31(f4(x7601),x7603),x7604))
% 0.84/0.90 [761]~P2(x7611)+E(f31(f31(f4(x7611),f31(f31(f4(x7611),f15(f7(x7612,x7613,x7611),x7613,x7611)),f6(x7612,x7613,x7611))),x7614),f31(f31(f4(x7611),x7612),x7614))
% 0.84/0.90 [766]~P30(x7661)+E(f27(f4(x7661),f31(f31(f4(x7661),x7662),x7663),x7664,x7661,x7661),f31(f31(f4(x7661),x7662),f27(f4(x7661),x7663,x7664,x7661,x7661)))
% 0.84/0.90 [606]~P27(x6061)+E(f31(f31(f4(x6061),f31(f31(f4(x6061),x6062),x6063)),x6064),f31(f31(f4(x6061),x6062),f31(f31(f4(x6061),x6063),x6064)))
% 0.84/0.90 [607]~P11(x6071)+E(f31(f31(f4(x6071),f31(f31(f4(x6071),x6072),x6073)),x6074),f31(f31(f4(x6071),x6072),f31(f31(f4(x6071),x6073),x6074)))
% 0.84/0.90 [608]~P15(x6081)+E(f31(f31(f4(x6081),f31(f31(f4(x6081),x6082),x6083)),x6084),f31(f31(f4(x6081),x6082),f31(f31(f4(x6081),x6083),x6084)))
% 0.84/0.90 [667]~P27(x6671)+E(f31(f31(f4(x6671),f31(f31(f4(x6671),x6672),x6673)),x6674),f31(f31(f4(x6671),f31(f31(f4(x6671),x6672),x6674)),x6673))
% 0.84/0.90 [744]~P5(x7442,f31(f31(f4(a1),x7444),f5(a1)),a1)+E(f31(f31(f31(a24,f31(f31(a25,x7441),x7442)),f31(f31(a25,x7443),x7442)),f31(f31(f4(a1),x7444),f5(a1))),f31(f31(a25,f31(f31(f31(a24,x7441),x7443),x7444)),x7442))
% 0.84/0.90 [754]~P5(x7544,f31(f31(f4(a1),x7542),f5(a1)),a1)+E(f31(f31(f31(a24,f31(f31(a25,x7541),f31(f31(f4(a1),x7542),f5(a1)))),f31(f31(a25,x7543),x7542)),x7544),f31(f31(a25,f31(f31(f31(a24,x7541),x7543),x7544)),x7542))
% 0.84/0.90 [684]~P27(x6843)+E(f15(f15(x6841,x6842,x6843),f15(x6844,x6845,x6843),x6843),f15(f15(x6841,x6844,x6843),f15(x6842,x6845,x6843),x6843))
% 0.84/0.90 [698]E(f6(x6981,x6982,a1),f6(x6983,x6982,a1))+~E(f31(f31(f4(a1),x6981),f15(x6982,x6984,a1)),f31(f31(f4(a1),x6983),f15(x6982,x6985,a1)))
% 0.84/0.90 [707]~P5(x7075,x7072,a1)+E(f31(f33(x7071,x7072,x7073,x7074),x7075),f31(x7071,x7075))
% 0.84/0.90 [720]~P8(x7201,x7204,x7205)+P8(f33(x7201,x7202,x7203,a37),f31(f31(a25,x7204),x7202),x7205)
% 0.84/0.90 [776]~P9(x7761,x7764,x7765)+P9(f33(x7761,x7762,x7763,a37),f29(f8(a25,x7762,a21,a1,a21),x7764,a21,a21),x7765)
% 0.84/0.90 [778]P47(f31(x7781,f31(x7782,x7783)))+~P47(f31(x7781,f20(x7784,x7785,x7782,f17(x7783),a35)))
% 0.84/0.90 [780]P47(f31(x7801,f31(x7802,x7803)))+~P47(f31(x7801,f20(x7802,x7804,x7805,f2(x7803),a35)))
% 0.84/0.90 [723]~P27(x7231)+E(f31(f31(f4(x7231),f31(f31(f4(x7231),x7232),x7233)),f31(f31(f4(x7231),x7234),x7235)),f31(f31(f4(x7231),f31(f31(f4(x7231),x7232),x7234)),f31(f31(f4(x7231),x7233),x7235)))
% 0.84/0.90 [747]~P25(x7471)+E(f31(f31(f4(x7471),f15(x7472,x7473,x7471)),f31(f31(f4(x7471),f15(x7474,x7473,x7471)),x7475)),f31(f31(f4(x7471),f15(f31(f31(f4(x7471),x7472),x7474),x7473,x7471)),x7475))
% 0.84/0.90 [771]~P5(x7713,f31(f31(f4(a1),x7714),f5(a1)),a1)+E(f31(f31(f31(a24,f31(f31(f31(a24,x7711),f31(f31(a25,x7712),x7713)),f31(f31(f4(a1),x7714),f5(a1)))),f31(f31(f31(a24,x7715),x7712),x7714)),x7713),f31(f31(f31(a24,f31(f31(f31(a24,x7711),x7715),x7713)),x7712),x7714))
% 0.84/0.90 [783]P47(f31(x7831,f31(f31(x7832,x7833),x7834)))+~P47(f31(x7831,f20(x7835,x7832,x7836,f31(f31(a18,x7833),x7834),a35)))
% 0.84/0.90 [372]E(x3721,x3722)+P5(x3722,x3721,a1)+P5(x3721,x3722,a1)
% 0.84/0.90 [425]E(x4251,x4252)+~P3(x4252,x4251,a1)+~P3(x4251,x4252,a1)
% 0.84/0.90 [328]~P2(x3282)+E(f7(x3281,x3281,x3282),f5(x3282))+E(x3281,f3(x3282))
% 0.84/0.90 [361]~E(f15(x3612,x3611,a1),x3612)+E(x3611,f5(a1))+E(x3612,f3(a1))
% 0.84/0.90 [365]E(x3651,f3(a1))+E(x3652,f3(a1))+~E(f15(x3652,x3651,a1),f3(a1))
% 0.84/0.90 [370]~P27(x3702)+~P3(f3(x3702),x3701,x3702)+E(x3701,f3(x3702))
% 0.84/0.90 [447]~P26(x4471)+P5(f3(x4471),f30(x4472,x4471),x4471)+~P5(f3(a1),x4472,a1)
% 0.84/0.90 [452]~P26(x4522)+~P5(f3(x4522),f30(x4521,x4522),x4522)+P5(f3(a1),x4521,a1)
% 0.84/0.90 [498]~P3(x4982,x4981,a1)+~P5(x4981,x4982,a1)+~P5(f3(a1),x4981,a1)
% 0.84/0.90 [532]E(x5321,f3(a1))+P5(f3(a1),x5322,a1)+~P5(f3(a1),f32(x5322,x5321,a1),a1)
% 0.84/0.90 [564]P5(f7(x5641,x5642,a1),x5641,a1)+~P5(f3(a1),x5641,a1)+~P5(f5(a1),x5642,a1)
% 0.84/0.90 [569]~P5(f3(a1),x5692,a1)+~P5(f3(a1),x5691,a1)+P5(f3(a1),f15(x5691,x5692,a1),a1)
% 0.84/0.90 [570]~P3(f15(x5702,x5701,a1),x5702,a1)+E(x5701,f5(a1))+~P5(f3(a1),x5702,a1)
% 0.84/0.90 [571]~P3(f15(x5711,x5712,a1),x5712,a1)+E(x5711,f5(a1))+~P5(f3(a1),x5712,a1)
% 0.84/0.90 [345]~P38(x3451)+~P13(x3451)+E(f31(f31(f4(x3451),x3452),f3(x3451)),x3452)
% 0.84/0.90 [393]P47(f31(x3931,x3932))+P47(f31(x3931,f43(x3931)))+~P47(f31(x3931,f3(a1)))
% 0.84/0.90 [394]P47(f31(x3941,x3942))+P47(f31(x3941,f12(x3941)))+~P47(f31(x3941,f3(a1)))
% 0.84/0.90 [395]P47(f31(x3951,x3952))+P47(f31(x3951,f44(x3951)))+~P47(f31(x3951,f3(a1)))
% 0.84/0.90 [396]P47(f31(x3961,x3962))+P47(f31(x3961,f45(x3961)))+~P47(f31(x3961,f3(a1)))
% 0.84/0.90 [397]P47(f31(x3971,x3972))+P47(f31(x3971,f46(x3971)))+~P47(f31(x3971,f3(a1)))
% 0.84/0.90 [398]P47(f31(x3981,x3982))+P47(f31(x3981,f47(x3981)))+~P47(f31(x3981,f3(a1)))
% 0.84/0.90 [406]~P47(f31(x4061,x4062))+~P47(f31(x4061,f13(x4061)))+P47(f31(x4061,f3(a1)))
% 0.84/0.90 [478]E(x4781,f3(a1))+E(x4782,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f32(x4782,x4781,a1),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [515]~P5(x5151,x5152,a1)+P5(f31(f31(f4(a1),x5151),f5(a1)),x5152,a1)+E(f31(f31(f4(a1),x5151),f5(a1)),x5152)
% 0.84/0.90 [517]E(x5171,x5172)+P5(x5172,x5171,a1)+~P5(x5172,f31(f31(f4(a1),x5171),f5(a1)),a1)
% 0.84/0.90 [519]E(x5191,x5192)+P5(x5191,x5192,a1)+~P5(x5191,f31(f31(f4(a1),x5192),f5(a1)),a1)
% 0.84/0.90 [715]P5(x7151,f15(x7152,x7151,a1),a1)+~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7152,a1)+~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7151,a1)
% 0.84/0.90 [716]P5(x7161,f15(x7161,x7162,a1),a1)+~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7162,a1)+~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7161,a1)
% 0.84/0.90 [730]~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7302,a1)+~P5(f31(f31(f4(a1),f3(a1)),f5(a1)),x7301,a1)+P5(f31(f31(f4(a1),f3(a1)),f5(a1)),f15(x7301,x7302,a1),a1)
% 0.84/0.90 [367]~P22(x3672)+E(x3671,f3(x3672))+~E(f31(f31(f4(x3672),x3671),x3671),f3(x3672))
% 0.84/0.90 [413]E(x4131,f3(a1))+E(x4132,f3(a1))+~E(f31(f31(f4(a1),x4132),x4131),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [414]E(x4141,f3(a1))+E(x4142,f3(a1))+~E(f31(f31(f4(a1),f3(a1)),f5(a1)),f31(f31(f4(a1),x4142),x4141))
% 0.84/0.90 [437]~P32(x4371)+~P45(x4371)+E(f32(f3(x4371),f31(f31(f4(a1),x4372),f5(a1)),x4371),f3(x4371))
% 0.84/0.90 [462]E(x4621,f3(a1))+E(x4621,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),x4622),x4621),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [463]E(x4631,f3(a1))+E(x4631,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),x4631),x4632),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [464]E(x4641,f3(a1))+E(x4641,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),f3(a1)),f5(a1)),f31(f31(f4(a1),x4642),x4641))
% 0.84/0.90 [465]E(x4651,f3(a1))+E(x4651,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),f3(a1)),f5(a1)),f31(f31(f4(a1),x4651),x4652))
% 0.84/0.90 [502]~P22(x5021)+~P5(f3(x5021),x5022,x5021)+P5(f3(x5021),f31(f31(f4(x5021),x5022),x5022),x5021)
% 0.84/0.90 [503]~P22(x5031)+~P5(x5032,f3(x5031),x5031)+P5(f31(f31(f4(x5031),x5032),x5032),f3(x5031),x5031)
% 0.84/0.90 [504]~P39(x5041)+~P5(x5042,f3(x5041),x5041)+P5(f31(f31(f4(x5041),x5042),x5042),f3(x5041),x5041)
% 0.84/0.90 [507]E(x5071,f31(f31(f4(a1),f3(a1)),f5(a1)))+E(x5072,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),x5072),x5071),f31(f31(f4(a1),f3(a1)),f5(a1)))
% 0.84/0.90 [508]E(x5081,f31(f31(f4(a1),f3(a1)),f5(a1)))+E(x5082,f31(f31(f4(a1),f3(a1)),f5(a1)))+~E(f31(f31(f4(a1),f3(a1)),f5(a1)),f31(f31(f4(a1),x5082),x5081))
% 0.84/0.90 [549]~P22(x5492)+P5(x5491,f3(x5492),x5492)+~P5(f31(f31(f4(x5492),x5491),x5491),f3(x5492),x5492)
% 0.84/0.90 [550]~P39(x5502)+P5(x5501,f3(x5502),x5502)+~P5(f31(f31(f4(x5502),x5501),x5501),f3(x5502),x5502)
% 0.84/0.90 [551]~P22(x5511)+P5(f3(x5511),x5512,x5511)+~P5(f3(x5511),f31(f31(f4(x5511),x5512),x5512),x5511)
% 0.84/0.90 [574]P5(f3(a1),x5741,a1)+P5(f3(a1),x5742,a1)+~P5(f3(a1),f31(f31(f4(a1),x5741),x5742),a1)
% 0.84/0.90 [581]~P47(f31(x5811,x5812))+P47(f31(x5811,f3(a1)))+P47(f31(x5811,f31(f31(f4(a1),f13(x5811)),f5(a1))))
% 0.84/0.90 [661]P47(f31(x6611,x6612))+~P47(f31(x6611,f3(a1)))+~P47(f31(x6611,f31(f31(f4(a1),f43(x6611)),f5(a1))))
% 0.84/0.90 [662]P47(f31(x6621,x6622))+~P47(f31(x6621,f3(a1)))+~P47(f31(x6621,f31(f31(f4(a1),f12(x6621)),f5(a1))))
% 0.84/0.90 [663]P47(f31(x6631,x6632))+~P47(f31(x6631,f3(a1)))+~P47(f31(x6631,f31(f31(f4(a1),f44(x6631)),f5(a1))))
% 0.84/0.90 [664]P47(f31(x6641,x6642))+~P47(f31(x6641,f3(a1)))+~P47(f31(x6641,f31(f31(f4(a1),f45(x6641)),f5(a1))))
% 0.84/0.90 [665]P47(f31(x6651,x6652))+~P47(f31(x6651,f3(a1)))+~P47(f31(x6651,f31(f31(f4(a1),f46(x6651)),f5(a1))))
% 0.84/0.90 [666]P47(f31(x6661,x6662))+~P47(f31(x6661,f3(a1)))+~P47(f31(x6661,f31(f31(f4(a1),f47(x6661)),f5(a1))))
% 0.84/0.90 [439]~P5(x4393,x4392,x4391)+~P28(x4391)+~P5(x4392,x4393,x4391)
% 0.84/0.90 [441]~P5(x4413,x4412,x4411)+~P31(x4411)+~P5(x4412,x4413,x4411)
% 0.84/0.90 [442]~P5(x4423,x4422,x4421)+~P29(x4421)+~P5(x4422,x4423,x4421)
% 0.84/0.90 [466]~P3(x4661,x4663,a1)+P3(x4661,x4662,a1)+~P3(x4663,x4662,a1)
% 0.84/0.90 [303]~P12(x3033)+E(x3031,x3032)+~E(f30(x3031,x3033),f30(x3032,x3033))
% 0.84/0.90 [369]~P43(x3692)+~E(f32(x3691,x3693,x3692),f3(x3692))+E(x3691,f3(x3692))
% 0.84/0.90 [407]~P2(x4073)+~P3(x4072,x4071,x4073)+E(f6(x4071,x4072,x4073),f3(x4073))
% 0.84/0.90 [408]~P2(x4083)+P3(x4081,x4082,x4083)+~E(f6(x4082,x4081,x4083),f3(x4083))
% 0.84/0.90 [430]E(x4301,x4302)+~E(f15(x4303,x4301,a1),f15(x4303,x4302,a1))+E(x4303,f3(a1))
% 0.84/0.90 [431]E(x4311,x4312)+~E(f15(x4311,x4313,a1),f15(x4312,x4313,a1))+E(x4313,f3(a1))
% 0.84/0.90 [450]~P26(x4502)+~P5(x4501,x4503,a1)+P5(f30(x4501,x4502),f30(x4503,x4502),x4502)
% 0.84/0.90 [477]~P26(x4773)+~P5(f30(x4771,x4773),f30(x4772,x4773),x4773)+P5(x4771,x4772,a1)
% 0.84/0.90 [499]E(x4991,x4992)+~E(f15(x4993,x4991,a1),f15(x4993,x4992,a1))+~P5(f3(a1),x4993,a1)
% 0.84/0.90 [500]~P27(x5003)+P3(x5001,f32(x5001,x5002,x5003),x5003)+~P5(f3(a1),x5002,a1)
% 0.84/0.90 [505]~P26(x5051)+~P5(f3(x5051),x5052,x5051)+P5(f3(x5051),f32(x5052,x5053,x5051),x5051)
% 0.84/0.90 [619]~P5(x6191,x6193,a1)+P5(f15(x6191,x6192,a1),f15(x6193,x6192,a1),a1)+~P5(f3(a1),x6192,a1)
% 0.84/0.90 [622]~P5(x6222,x6223,a1)+P5(f15(x6221,x6222,a1),f15(x6221,x6223,a1),a1)+~P5(f3(a1),x6221,a1)
% 0.84/0.90 [653]P3(x6532,x6533,a1)+E(x6531,f3(a1))+~P3(f15(x6531,x6532,a1),f15(x6531,x6533,a1),a1)
% 0.84/0.90 [693]P5(x6931,x6932,a1)+~P5(f32(x6933,x6931,a1),f32(x6933,x6932,a1),a1)+~P5(f3(a1),x6933,a1)
% 0.84/0.90 [695]P3(x6951,x6952,a1)+~P3(f15(x6953,x6951,a1),f15(x6953,x6952,a1),a1)+~P5(f3(a1),x6953,a1)
% 0.84/0.90 [390]E(x3901,x3902)+P5(x3902,x3901,a1)+E(f26(f2(x3901),x3903,x3902),f2(x3901))
% 0.84/0.90 [435]~P2(x4352)+E(x4351,f3(x4352))+E(f7(f15(x4353,x4351,x4352),x4351,x4352),x4353)
% 0.84/0.90 [436]~P2(x4362)+E(x4361,f3(x4362))+E(f7(f15(x4361,x4363,x4362),x4361,x4362),x4363)
% 0.84/0.90 [496]~P2(x4963)+~P3(x4961,x4962,x4963)+E(f15(x4961,f7(x4962,x4961,x4963),x4963),x4962)
% 0.84/0.90 [497]~P2(x4973)+~P3(x4972,x4971,x4973)+E(f15(f7(x4971,x4972,x4973),x4972,x4973),x4971)
% 0.84/0.90 [541]~P5(x5411,x5413,a1)+~P5(x5413,x5412,a1)+P5(f31(f31(f4(a1),x5411),f5(a1)),x5412,a1)
% 0.84/0.90 [658]~P26(x6581)+~P5(f5(x6581),x6582,x6581)+P5(f5(x6581),f15(x6582,f32(x6582,x6583,x6581),x6581),x6581)
% 0.84/0.90 [703]~P26(x7033)+~P5(f5(x7033),x7031,x7033)+P5(f32(x7031,x7032,x7033),f15(x7031,f32(x7031,x7032,x7033),x7033),x7033)
% 0.84/0.90 [705]~P40(x7052)+E(x7051,f3(x7052))+~E(f31(f31(f4(x7052),f15(x7053,x7053,x7052)),f15(x7051,x7051,x7052)),f3(x7052))
% 0.84/0.90 [706]~P40(x7062)+E(x7061,f3(x7062))+~E(f31(f31(f4(x7062),f15(x7061,x7061,x7062)),f15(x7063,x7063,x7062)),f3(x7062))
% 0.84/0.90 [734]~P40(x7342)+E(x7341,f3(x7342))+P5(f3(x7342),f31(f31(f4(x7342),f15(x7343,x7343,x7342)),f15(x7341,x7341,x7342)),x7342)
% 0.84/0.90 [735]~P40(x7352)+E(x7351,f3(x7352))+P5(f3(x7352),f31(f31(f4(x7352),f15(x7351,x7351,x7352)),f15(x7353,x7353,x7352)),x7352)
% 0.84/0.90 [648]~P26(x6481)+~P5(f5(x6481),x6482,x6481)+P5(f5(x6481),f32(x6482,f31(f31(f4(a1),x6483),f5(a1)),x6481),x6481)
% 0.84/0.90 [418]E(x4181,x4182)+P5(x4182,x4181,a1)+E(f31(f31(f31(a24,f2(x4181)),x4183),x4182),f2(x4181))
% 0.84/0.90 [630]~P2(x6302)+E(x6301,f3(x6302))+E(f7(f31(f31(f4(x6302),x6303),x6301),x6301,x6302),f31(f31(f4(x6302),f7(x6303,x6301,x6302)),f5(x6302)))
% 0.84/0.90 [631]~P2(x6312)+E(x6311,f3(x6312))+E(f7(f31(f31(f4(x6312),x6311),x6313),x6311,x6312),f31(f31(f4(x6312),f7(x6313,x6311,x6312)),f5(x6312)))
% 0.84/0.90 [737]~P15(x7373)+~E(f31(x7371,f3(a1)),f3(x7373))+E(f14(x7371,f34(f31(f31(f4(a1),f3(a1)),f5(a1)),x7372,a1),a1,x7373),f14(x7371,f34(f3(a1),x7372,a1),a1,x7373))
% 0.84/0.90 [784]~P47(f31(a16,x7842))+~P47(f31(a16,f27(a18,f31(f31(f31(a24,x7841),x7842),f3(a1)),x7843,a21,a21)))+P47(f31(a16,f27(a18,f31(f31(a18,f17(x7841)),x7842),x7843,a21,a21)))
% 0.84/0.90 [411]~P8(x4111,x4114,x4113)+P8(x4111,x4112,x4113)+~P6(x4114,x4112)
% 0.84/0.90 [494]~P27(x4944)+~P3(x4941,x4943,x4944)+P3(x4941,f15(x4942,x4943,x4944),x4944)
% 0.84/0.90 [495]~P27(x4954)+~P3(x4951,x4952,x4954)+P3(x4951,f15(x4952,x4953,x4954),x4954)
% 0.84/0.90 [536]~P27(x5363)+P3(x5361,x5362,x5363)+~P3(f15(x5364,x5361,x5363),x5362,x5363)
% 0.84/0.90 [537]~P27(x5373)+P3(x5371,x5372,x5373)+~P3(f15(x5371,x5374,x5373),x5372,x5373)
% 0.84/0.90 [584]~P38(x5843)+~P3(x5841,x5844,x5843)+P3(f15(x5841,x5842,x5843),f15(x5844,x5842,x5843),x5843)
% 0.84/0.90 [585]~P38(x5853)+~P3(x5852,x5854,x5853)+P3(f15(x5851,x5852,x5853),f15(x5851,x5854,x5853),x5853)
% 0.84/0.90 [586]~P27(x5863)+~P3(x5861,x5864,x5863)+P3(f32(x5861,x5862,x5863),f32(x5864,x5862,x5863),x5863)
% 0.84/0.90 [530]~P2(x5303)+~P3(x5304,x5302,x5303)+E(f6(f6(x5301,x5302,x5303),x5304,x5303),f6(x5301,x5304,x5303))
% 0.84/0.90 [566]~P2(x5662)+E(x5661,f3(x5662))+E(f7(f15(x5663,x5661,x5662),f15(x5664,x5661,x5662),x5662),f7(x5663,x5664,x5662))
% 0.84/0.90 [567]~P2(x5672)+E(x5671,f3(x5672))+E(f7(f15(x5671,x5673,x5672),f15(x5671,x5674,x5672),x5672),f7(x5673,x5674,x5672))
% 0.84/0.90 [603]~P2(x6033)+~P3(x6034,x6031,x6033)+E(f7(f15(x6031,x6032,x6033),x6034,x6033),f15(f7(x6031,x6034,x6033),x6032,x6033))
% 0.84/0.90 [657]E(x6571,x6572)+E(x6573,f3(a1))+~E(f31(f31(f4(a1),x6574),f15(x6573,x6571,a1)),f31(f31(f4(a1),x6574),f15(x6573,x6572,a1)))
% 0.84/0.90 [669]~P2(x6693)+~P3(x6694,x6691,x6693)+E(f7(f32(x6691,x6692,x6693),f32(x6694,x6692,x6693),x6693),f32(f7(x6691,x6694,x6693),x6692,x6693))
% 0.84/0.90 [729]~P38(x7291)+~P13(x7291)+E(f31(f31(f4(x7291),f15(x7292,x7293,x7291)),f15(x7292,x7294,x7291)),f31(f31(f4(x7291),f15(x7292,x7294,x7291)),f15(x7292,x7293,x7291)))
% 0.84/0.90 [740]E(x7401,x7402)+E(x7403,x7404)+~E(f31(f31(f4(a1),f15(x7403,x7401,a1)),f15(x7404,x7402,a1)),f31(f31(f4(a1),f15(x7403,x7402,a1)),f15(x7404,x7401,a1)))
% 0.84/0.90 [432]~P16(x4323)+E(x4321,x4322)+~E(f31(f31(f4(x4323),x4324),x4321),f31(f31(f4(x4323),x4324),x4322))
% 0.84/0.90 [433]~P19(x4333)+E(x4331,x4332)+~E(f31(f31(f4(x4333),x4334),x4331),f31(f31(f4(x4333),x4334),x4332))
% 0.84/0.90 [434]~P19(x4343)+E(x4341,x4342)+~E(f31(f31(f4(x4343),x4341),x4344),f31(f31(f4(x4343),x4342),x4344))
% 0.84/0.90 [514]~P5(x5144,x5143,a1)+P5(x5141,x5142,a1)+~E(f31(f31(f4(a1),x5141),x5143),f31(f31(f4(a1),x5144),x5142))
% 0.84/0.90 [577]~P23(x5771)+~P5(x5772,x5774,x5771)+P5(f31(f31(f4(x5771),x5772),x5773),f31(f31(f4(x5771),x5774),x5773),x5771)
% 0.84/0.90 [578]~P24(x5781)+~P5(x5782,x5784,x5781)+P5(f31(f31(f4(x5781),x5782),x5783),f31(f31(f4(x5781),x5784),x5783),x5781)
% 0.84/0.90 [579]~P23(x5791)+~P5(x5793,x5794,x5791)+P5(f31(f31(f4(x5791),x5792),x5793),f31(f31(f4(x5791),x5792),x5794),x5791)
% 0.84/0.90 [580]~P24(x5801)+~P5(x5803,x5804,x5801)+P5(f31(f31(f4(x5801),x5802),x5803),f31(f31(f4(x5801),x5802),x5804),x5801)
% 0.84/0.90 [599]~P5(x5992,x5994,a1)+~P5(x5991,x5993,a1)+P5(f31(f31(f4(a1),x5991),x5992),f31(f31(f4(a1),x5993),x5994),a1)
% 0.84/0.90 [654]~P24(x6543)+P5(x6541,x6542,x6543)+~P5(f31(f31(f4(x6543),x6544),x6541),f31(f31(f4(x6543),x6544),x6542),x6543)
% 0.84/0.90 [655]~P24(x6553)+P5(x6551,x6552,x6553)+~P5(f31(f31(f4(x6553),x6551),x6554),f31(f31(f4(x6553),x6552),x6554),x6553)
% 0.84/0.90 [679]~P2(x6792)+E(x6791,f3(x6792))+E(f7(f31(f31(f4(x6792),x6793),f15(x6794,x6791,x6792)),x6791,x6792),f31(f31(f4(x6792),x6794),f7(x6793,x6791,x6792)))
% 0.84/0.90 [680]~P2(x6802)+E(x6801,f3(x6802))+E(f7(f31(f31(f4(x6802),x6803),f15(x6801,x6804,x6802)),x6801,x6802),f31(f31(f4(x6802),x6804),f7(x6803,x6801,x6802)))
% 0.84/0.90 [708]~P15(x7084)+~P5(x7083,x7082,a1)+E(f14(x7081,f34(x7082,f31(f31(f4(a1),x7083),f5(a1)),a1),a1,x7084),f3(x7084))
% 0.84/0.90 [750]~P5(x7504,x7501,a1)+~P5(f3(a1),x7503,a1)+P5(f31(f31(f4(a1),f15(x7501,f6(x7502,x7503,a1),a1)),x7504),f15(x7501,x7503,a1),a1)
% 0.84/0.90 [759]~P15(x7591)+P5(x7594,x7593,a1)+E(f31(f31(f4(x7591),f14(x7592,f34(x7593,x7594,a1),a1,x7591)),f31(x7592,x7594)),f14(x7592,f34(x7593,f31(f31(f4(a1),x7594),f5(a1)),a1),a1,x7591))
% 0.84/0.90 [749]~P15(x7491)+~P5(x7493,x7494,a1)+E(f31(f31(f4(x7491),f31(x7492,x7493)),f14(x7492,f34(f31(f31(f4(a1),x7493),f5(a1)),x7494,a1),a1,x7491)),f14(x7492,f34(x7493,x7494,a1),a1,x7491))
% 0.84/0.90 [781]E(x7811,x7812)+~P8(x7813,f27(a18,f2(x7814),x7815,a21,a21),x7811)+~P8(x7813,f27(a18,f2(x7814),x7815,a21,a21),x7812)
% 0.84/0.90 [596]~P14(x5961)+E(f31(f31(f4(x5961),x5962),x5963),x5964)+~E(f31(f31(f4(x5961),x5962),f31(f31(f4(x5961),x5965),x5963)),f31(f31(f4(x5961),x5965),x5964))
% 0.84/0.90 [741]~P8(x7411,x7413,x7416)+~P8(f33(x7411,x7414,x7416,a37),x7412,x7415)+P8(x7411,f31(f31(f31(a24,x7412),x7413),x7414),x7415)
% 0.84/0.90 [785]~P8(x7851,x7852,x7856)+~P9(f33(x7851,x7853,x7856,a37),x7854,x7855)+P9(x7851,f29(f8(f8(a24,x7852,a21,a21,f36(a1,a21)),x7853,a21,a1,a21),x7854,a21,a21),x7855)
% 0.84/0.90 [354]~P32(x3542)+~P45(x3542)+E(x3541,f3(a1))+E(f32(f3(x3542),x3541,x3542),f3(x3542))
% 0.84/0.90 [385]P5(x3851,x3852,x3853)+~P39(x3853)+E(x3851,x3852)+P5(x3852,x3851,x3853)
% 0.84/0.90 [389]P5(x3891,x3892,x3893)+~P29(x3893)+E(x3891,x3892)+P5(x3892,x3891,x3893)
% 0.84/0.90 [374]~P36(x3742)+~E(f15(x3743,x3741,x3742),f3(x3742))+E(x3741,f3(x3742))+E(x3743,f3(x3742))
% 0.84/0.90 [375]~P42(x3752)+~E(f15(x3753,x3751,x3752),f3(x3752))+E(x3751,f3(x3752))+E(x3753,f3(x3752))
% 0.84/0.90 [583]~P26(x5831)+~P5(f5(x5831),x5832,x5831)+P5(f5(x5831),f32(x5832,x5833,x5831),x5831)+~P5(f3(a1),x5833,a1)
% 0.84/0.90 [589]~P40(x5891)+~P5(x5893,f3(x5891),x5891)+~P5(x5892,f3(x5891),x5891)+P5(f3(x5891),f15(x5892,x5893,x5891),x5891)
% 0.84/0.90 [590]~P41(x5901)+~P5(f3(x5901),x5903,x5901)+~P5(f3(x5901),x5902,x5901)+P5(f3(x5901),f15(x5902,x5903,x5901),x5901)
% 0.84/0.90 [591]~P26(x5911)+~P5(f5(x5911),x5913,x5911)+~P5(f5(x5911),x5912,x5911)+P5(f5(x5911),f15(x5912,x5913,x5911),x5911)
% 0.84/0.90 [592]~P41(x5923)+~P5(x5922,f3(x5923),x5923)+~P5(f3(x5923),x5921,x5923)+P5(f15(x5921,x5922,x5923),f3(x5923),x5923)
% 0.84/0.90 [594]~P41(x5943)+~P5(x5941,f3(x5943),x5943)+~P5(f3(x5943),x5942,x5943)+P5(f15(x5941,x5942,x5943),f3(x5943),x5943)
% 0.84/0.90 [613]~P41(x6131)+~P5(f3(x6131),f15(x6133,x6132,x6131),x6131)+P5(f3(x6131),x6132,x6131)+~P5(f3(x6131),x6133,x6131)
% 0.84/0.90 [614]~P41(x6141)+~P5(f3(x6141),f15(x6142,x6143,x6141),x6141)+P5(f3(x6141),x6142,x6141)+~P5(f3(x6141),x6143,x6141)
% 0.84/0.90 [718]~P26(x7183)+~P5(x7181,f5(x7183),x7183)+~P5(f3(x7183),x7181,x7183)+P5(f15(x7181,f32(x7181,x7182,x7183),x7183),f32(x7181,x7182,x7183),x7183)
% 0.84/0.90 [368]~P38(x3682)+~P13(x3682)+E(x3681,f3(x3682))+~E(f31(f31(f4(x3682),x3683),x3681),x3683)
% 0.84/0.90 [587]~P1(x5871)+~P5(f3(x5871),x5873,x5871)+~P5(f3(x5871),x5872,x5871)+P5(f3(x5871),f31(f31(f4(x5871),x5872),x5873),x5871)
% 0.84/0.90 [588]~P1(x5881)+~P5(x5883,f3(x5881),x5881)+~P5(x5882,f3(x5881),x5881)+P5(f31(f31(f4(x5881),x5882),x5883),f3(x5881),x5881)
% 0.84/0.90 [697]~P26(x6973)+~P5(x6971,f5(x6973),x6973)+~P5(f3(x6973),x6971,x6973)+P5(f32(x6971,f31(f31(f4(a1),x6972),f5(a1)),x6973),f5(x6973),x6973)
% 0.84/0.90 [481]~P28(x4813)+~P5(x4811,x4814,x4813)+P5(x4811,x4812,x4813)+~P5(x4814,x4812,x4813)
% 0.84/0.90 [482]~P31(x4823)+~P5(x4821,x4824,x4823)+P5(x4821,x4822,x4823)+~P5(x4824,x4822,x4823)
% 0.84/0.90 [483]~P27(x4833)+~P3(x4831,x4834,x4833)+P3(x4831,x4832,x4833)+~P3(x4834,x4832,x4833)
% 0.84/0.90 [511]~P26(x5114)+E(x5111,x5112)+~P5(f5(x5114),x5113,x5114)+~E(f32(x5113,x5111,x5114),f32(x5113,x5112,x5114))
% 0.84/0.90 [573]~P2(x5734)+~P3(x5731,x5733,x5734)+~P3(x5731,x5732,x5734)+P3(x5731,f6(x5732,x5733,x5734),x5734)
% 0.84/0.90 [602]~P2(x6023)+P3(x6021,x6022,x6023)+~P3(x6021,x6024,x6023)+~P3(x6021,f6(x6022,x6024,x6023),x6023)
% 0.84/0.90 [635]~P26(x6353)+~P5(x6352,x6354,a1)+~P5(f5(x6353),x6351,x6353)+P5(f32(x6351,x6352,x6353),f32(x6351,x6354,x6353),x6353)
% 0.84/0.90 [638]~P40(x6383)+~P5(x6384,x6381,x6383)+~P5(x6382,f3(x6383),x6383)+P5(f15(x6381,x6382,x6383),f15(x6384,x6382,x6383),x6383)
% 0.84/0.90 [641]~P40(x6413)+~P5(x6414,x6412,x6413)+~P5(x6411,f3(x6413),x6413)+P5(f15(x6411,x6412,x6413),f15(x6411,x6414,x6413),x6413)
% 0.84/0.90 [642]~P40(x6423)+~P5(x6421,x6424,x6423)+~P5(f3(x6423),x6422,x6423)+P5(f15(x6421,x6422,x6423),f15(x6424,x6422,x6423),x6423)
% 0.84/0.90 [643]~P41(x6433)+~P5(x6431,x6434,x6433)+~P5(f3(x6433),x6432,x6433)+P5(f15(x6431,x6432,x6433),f15(x6434,x6432,x6433),x6433)
% 0.84/0.90 [645]~P40(x6453)+~P5(x6452,x6454,x6453)+~P5(f3(x6453),x6451,x6453)+P5(f15(x6451,x6452,x6453),f15(x6451,x6454,x6453),x6453)
% 0.84/0.90 [646]~P41(x6463)+~P5(x6462,x6464,x6463)+~P5(f3(x6463),x6461,x6463)+P5(f15(x6461,x6462,x6463),f15(x6461,x6464,x6463),x6463)
% 0.84/0.90 [647]~P35(x6473)+~P5(x6472,x6474,x6473)+~P5(f3(x6473),x6471,x6473)+P5(f15(x6471,x6472,x6473),f15(x6471,x6474,x6473),x6473)
% 0.84/0.90 [659]~P38(x6592)+P3(x6593,x6594,x6592)+~P3(f15(x6591,x6593,x6592),f15(x6591,x6594,x6592),x6592)+E(x6591,f3(x6592))
% 0.84/0.90 [660]~P38(x6602)+P3(x6603,x6604,x6602)+~P3(f15(x6603,x6601,x6602),f15(x6604,x6601,x6602),x6602)+E(x6601,f3(x6602))
% 0.84/0.90 [677]P5(x6772,x6771,x6773)+~P40(x6773)+P5(x6771,x6772,x6773)+~P5(f15(x6774,x6771,x6773),f15(x6774,x6772,x6773),x6773)
% 0.84/0.90 [678]P5(x6782,x6781,x6783)+~P40(x6783)+P5(x6781,x6782,x6783)+~P5(f15(x6781,x6784,x6783),f15(x6782,x6784,x6783),x6783)
% 0.84/0.90 [685]~P40(x6853)+P5(x6851,x6852,x6853)+~P5(f15(x6851,x6854,x6853),f15(x6852,x6854,x6853),x6853)+P5(x6854,f3(x6853),x6853)
% 0.84/0.90 [686]~P40(x6863)+P5(x6861,x6862,x6863)+~P5(f15(x6864,x6861,x6863),f15(x6864,x6862,x6863),x6863)+P5(x6864,f3(x6863),x6863)
% 0.84/0.90 [687]~P40(x6873)+P5(x6871,x6872,x6873)+~P5(f15(x6874,x6872,x6873),f15(x6874,x6871,x6873),x6873)+P5(f3(x6873),x6874,x6873)
% 0.84/0.90 [688]~P40(x6883)+P5(x6881,x6882,x6883)+~P5(f15(x6882,x6884,x6883),f15(x6881,x6884,x6883),x6883)+P5(f3(x6883),x6884,x6883)
% 0.84/0.90 [689]~P40(x6892)+~P5(f15(x6893,x6891,x6892),f15(x6894,x6891,x6892),x6892)+P5(x6891,f3(x6892),x6892)+P5(f3(x6892),x6891,x6892)
% 0.84/0.90 [690]~P40(x6902)+~P5(f15(x6901,x6903,x6902),f15(x6901,x6904,x6902),x6902)+P5(x6901,f3(x6902),x6902)+P5(f3(x6902),x6901,x6902)
% 0.84/0.90 [700]~P26(x7003)+~P5(f32(x7004,x7001,x7003),f32(x7004,x7002,x7003),x7003)+P5(x7001,x7002,a1)+~P5(f5(x7003),x7004,x7003)
% 0.84/0.90 [701]~P40(x7013)+P5(x7011,x7012,x7013)+~P5(f15(x7014,x7012,x7013),f15(x7014,x7011,x7013),x7013)+~P5(x7014,f3(x7013),x7013)
% 0.84/0.90 [702]~P40(x7023)+P5(x7021,x7022,x7023)+~P5(f15(x7024,x7021,x7023),f15(x7024,x7022,x7023),x7023)+~P5(f3(x7023),x7024,x7023)
% 0.84/0.90 [446]~P38(x4463)+~P13(x4463)+E(x4461,x4462)+~E(f31(f31(f4(x4463),x4464),x4461),f31(f31(f4(x4463),x4464),x4462))
% 0.84/0.90 [568]~P27(x5682)+~P3(x5681,x5684,x5682)+~P3(x5681,x5683,x5682)+P3(x5681,f31(f31(f4(x5682),x5683),x5684),x5682)
% 0.84/0.90 [576]~P26(x5762)+~P5(x5761,x5764,x5762)+~P5(f3(x5762),x5763,x5762)+P5(x5761,f31(f31(f4(x5762),x5763),x5764),x5762)
% 0.84/0.90 [721]~P2(x7211)+~P3(x7213,x7214,x7211)+~P3(x7213,x7212,x7211)+E(f31(f31(f4(x7211),f7(x7212,x7213,x7211)),f7(x7214,x7213,x7211)),f7(f31(f31(f4(x7211),x7212),x7214),x7213,x7211))
% 0.84/0.90 [762]~P5(x7624,x7621,a1)+E(x7621,f3(a1))+P47(f31(x7622,x7623))+~P47(f31(x7622,f7(f31(f31(f4(a1),f15(x7621,x7623,a1)),x7624),x7621,a1)))
% 0.84/0.90 [763]~P5(x7633,x7631,a1)+E(x7631,f3(a1))+P47(f31(x7632,x7633))+~P47(f31(x7632,f6(f31(f31(f4(a1),f15(x7631,x7634,a1)),x7633),x7631,a1)))
% 0.84/0.90 [633]~P27(x6333)+~P3(x6332,x6335,x6333)+~P3(x6331,x6334,x6333)+P3(f15(x6331,x6332,x6333),f15(x6334,x6335,x6333),x6333)
% 0.84/0.90 [722]~P2(x7223)+~P3(x7225,x7222,x7223)+~P3(x7224,x7221,x7223)+E(f7(f15(x7221,x7222,x7223),f15(x7224,x7225,x7223),x7223),f15(f7(x7221,x7224,x7223),f7(x7222,x7225,x7223),x7223))
% 0.84/0.90 [628]~P23(x6281)+~P5(x6283,x6285,x6281)+~P5(x6282,x6284,x6281)+P5(f31(f31(f4(x6281),x6282),x6283),f31(f31(f4(x6281),x6284),x6285),x6281)
% 0.84/0.90 [717]~P2(x7173)+~E(f6(x7171,x7174,x7173),f6(x7175,x7174,x7173))+~E(f6(x7172,x7174,x7173),f6(x7176,x7174,x7173))+E(f6(f15(x7171,x7172,x7173),x7174,x7173),f6(f15(x7175,x7176,x7173),x7174,x7173))
% 0.84/0.90 [713]~P2(x7131)+~E(f6(x7132,x7134,x7131),f6(x7135,x7134,x7131))+~E(f6(x7133,x7134,x7131),f6(x7136,x7134,x7131))+E(f6(f31(f31(f4(x7131),x7132),x7133),x7134,x7131),f6(f31(f31(f4(x7131),x7135),x7136),x7134,x7131))
% 0.84/0.90 [391]~P32(x3912)+~P46(x3912)+~P36(x3912)+~P37(x3912)+~E(f32(x3911,f3(a1),x3912),f3(x3912))
% 0.84/0.90 [672]~P2(x6723)+~P3(x6722,x6724,x6723)+~P3(x6722,x6721,x6723)+~P3(x6721,x6724,x6723)+P3(f7(x6721,x6722,x6723),f7(x6724,x6722,x6723),x6723)
% 0.84/0.90 [691]~P26(x6913)+~P5(x6914,x6912,a1)+~P5(x6911,f5(x6913),x6913)+~P5(f3(x6913),x6911,x6913)+P5(f32(x6911,x6912,x6913),f32(x6911,x6914,x6913),x6913)
% 0.84/0.90 [712]~P2(x7123)+~P3(x7124,x7121,x7123)+P3(x7121,x7122,x7123)+~P3(x7124,x7122,x7123)+~P3(f7(x7121,x7124,x7123),f7(x7122,x7124,x7123),x7123)
% 0.84/0.90 [668]~P38(x6684)+~P13(x6684)+E(x6681,x6682)+E(x6683,f3(x6684))+~E(f31(f31(f4(x6684),x6685),f15(x6683,x6681,x6684)),f31(f31(f4(x6684),x6685),f15(x6683,x6682,x6684)))
% 0.84/0.90 [743]~P38(x7435)+~P13(x7435)+E(x7431,x7432)+E(x7433,x7434)+~E(f31(f31(f4(x7435),f15(x7433,x7431,x7435)),f15(x7434,x7432,x7435)),f31(f31(f4(x7435),f15(x7433,x7432,x7435)),f15(x7434,x7431,x7435)))
% 0.84/0.90 [366]~P32(x3662)+~P46(x3662)+~P36(x3662)+~P37(x3662)+E(x3661,f3(a1))+E(f32(f3(x3662),x3661,x3662),f3(x3662))
% 0.84/0.90 [392]~P32(x3922)+~P46(x3922)+~P36(x3922)+~P37(x3922)+~E(f32(x3921,x3923,x3922),f3(x3922))+E(x3921,f3(x3922))
% 0.84/0.90 %EqnAxiom
% 0.84/0.90 [1]E(x11,x11)
% 0.84/0.90 [2]E(x22,x21)+~E(x21,x22)
% 0.84/0.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.84/0.90 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.84/0.90 [5]~E(x51,x52)+E(f19(x51),f19(x52))
% 0.84/0.90 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.84/0.90 [7]~E(x71,x72)+E(f33(x71,x73,x74,x75),f33(x72,x73,x74,x75))
% 0.84/0.90 [8]~E(x81,x82)+E(f33(x83,x81,x84,x85),f33(x83,x82,x84,x85))
% 0.84/0.90 [9]~E(x91,x92)+E(f33(x93,x94,x91,x95),f33(x93,x94,x92,x95))
% 0.84/0.90 [10]~E(x101,x102)+E(f33(x103,x104,x105,x101),f33(x103,x104,x105,x102))
% 0.84/0.90 [11]~E(x111,x112)+E(f22(x111,x113),f22(x112,x113))
% 0.84/0.90 [12]~E(x121,x122)+E(f22(x123,x121),f22(x123,x122))
% 0.84/0.90 [13]~E(x131,x132)+E(f31(x131,x133),f31(x132,x133))
% 0.84/0.90 [14]~E(x141,x142)+E(f31(x143,x141),f31(x143,x142))
% 0.84/0.90 [15]~E(x151,x152)+E(f4(x151),f4(x152))
% 0.84/0.90 [16]~E(x161,x162)+E(f32(x161,x163,x164),f32(x162,x163,x164))
% 0.84/0.90 [17]~E(x171,x172)+E(f32(x173,x171,x174),f32(x173,x172,x174))
% 0.84/0.90 [18]~E(x181,x182)+E(f32(x183,x184,x181),f32(x183,x184,x182))
% 0.84/0.90 [19]~E(x191,x192)+E(f15(x191,x193,x194),f15(x192,x193,x194))
% 0.84/0.90 [20]~E(x201,x202)+E(f15(x203,x201,x204),f15(x203,x202,x204))
% 0.84/0.90 [21]~E(x211,x212)+E(f15(x213,x214,x211),f15(x213,x214,x212))
% 0.84/0.90 [22]~E(x221,x222)+E(f5(x221),f5(x222))
% 0.84/0.90 [23]~E(x231,x232)+E(f7(x231,x233,x234),f7(x232,x233,x234))
% 0.84/0.90 [24]~E(x241,x242)+E(f7(x243,x241,x244),f7(x243,x242,x244))
% 0.84/0.90 [25]~E(x251,x252)+E(f7(x253,x254,x251),f7(x253,x254,x252))
% 0.84/0.90 [26]~E(x261,x262)+E(f47(x261),f47(x262))
% 0.84/0.90 [27]~E(x271,x272)+E(f6(x271,x273,x274),f6(x272,x273,x274))
% 0.84/0.90 [28]~E(x281,x282)+E(f6(x283,x281,x284),f6(x283,x282,x284))
% 0.84/0.90 [29]~E(x291,x292)+E(f6(x293,x294,x291),f6(x293,x294,x292))
% 0.84/0.90 [30]~E(x301,x302)+E(f29(x301,x303,x304,x305),f29(x302,x303,x304,x305))
% 0.84/0.90 [31]~E(x311,x312)+E(f29(x313,x311,x314,x315),f29(x313,x312,x314,x315))
% 0.84/0.90 [32]~E(x321,x322)+E(f29(x323,x324,x321,x325),f29(x323,x324,x322,x325))
% 0.84/0.90 [33]~E(x331,x332)+E(f29(x333,x334,x335,x331),f29(x333,x334,x335,x332))
% 0.84/0.90 [34]~E(x341,x342)+E(f27(x341,x343,x344,x345,x346),f27(x342,x343,x344,x345,x346))
% 0.84/0.90 [35]~E(x351,x352)+E(f27(x353,x351,x354,x355,x356),f27(x353,x352,x354,x355,x356))
% 0.84/0.90 [36]~E(x361,x362)+E(f27(x363,x364,x361,x365,x366),f27(x363,x364,x362,x365,x366))
% 0.84/0.90 [37]~E(x371,x372)+E(f27(x373,x374,x375,x371,x376),f27(x373,x374,x375,x372,x376))
% 0.84/0.90 [38]~E(x381,x382)+E(f27(x383,x384,x385,x386,x381),f27(x383,x384,x385,x386,x382))
% 0.84/0.90 [39]~E(x391,x392)+E(f23(x391),f23(x392))
% 0.84/0.90 [40]~E(x401,x402)+E(f8(x401,x403,x404,x405,x406),f8(x402,x403,x404,x405,x406))
% 0.84/0.90 [41]~E(x411,x412)+E(f8(x413,x411,x414,x415,x416),f8(x413,x412,x414,x415,x416))
% 0.84/0.90 [42]~E(x421,x422)+E(f8(x423,x424,x421,x425,x426),f8(x423,x424,x422,x425,x426))
% 0.84/0.90 [43]~E(x431,x432)+E(f8(x433,x434,x435,x431,x436),f8(x433,x434,x435,x432,x436))
% 0.84/0.90 [44]~E(x441,x442)+E(f8(x443,x444,x445,x446,x441),f8(x443,x444,x445,x446,x442))
% 0.84/0.90 [45]~E(x451,x452)+E(f17(x451),f17(x452))
% 0.84/0.90 [46]~E(x461,x462)+E(f43(x461),f43(x462))
% 0.84/0.90 [47]~E(x471,x472)+E(f20(x471,x473,x474,x475,x476),f20(x472,x473,x474,x475,x476))
% 0.84/0.90 [48]~E(x481,x482)+E(f20(x483,x481,x484,x485,x486),f20(x483,x482,x484,x485,x486))
% 0.84/0.90 [49]~E(x491,x492)+E(f20(x493,x494,x491,x495,x496),f20(x493,x494,x492,x495,x496))
% 0.84/0.90 [50]~E(x501,x502)+E(f20(x503,x504,x505,x501,x506),f20(x503,x504,x505,x502,x506))
% 0.84/0.90 [51]~E(x511,x512)+E(f20(x513,x514,x515,x516,x511),f20(x513,x514,x515,x516,x512))
% 0.84/0.90 [52]~E(x521,x522)+E(f44(x521),f44(x522))
% 0.84/0.90 [53]~E(x531,x532)+E(f30(x531,x533),f30(x532,x533))
% 0.84/0.90 [54]~E(x541,x542)+E(f30(x543,x541),f30(x543,x542))
% 0.84/0.90 [55]~E(x551,x552)+E(f36(x551,x553),f36(x552,x553))
% 0.84/0.90 [56]~E(x561,x562)+E(f36(x563,x561),f36(x563,x562))
% 0.84/0.90 [57]~E(x571,x572)+E(f26(x571,x573,x574),f26(x572,x573,x574))
% 0.84/0.90 [58]~E(x581,x582)+E(f26(x583,x581,x584),f26(x583,x582,x584))
% 0.84/0.90 [59]~E(x591,x592)+E(f26(x593,x594,x591),f26(x593,x594,x592))
% 0.84/0.90 [60]~E(x601,x602)+E(f13(x601),f13(x602))
% 0.84/0.90 [61]~E(x611,x612)+E(f14(x611,x613,x614,x615),f14(x612,x613,x614,x615))
% 0.84/0.90 [62]~E(x621,x622)+E(f14(x623,x621,x624,x625),f14(x623,x622,x624,x625))
% 0.84/0.90 [63]~E(x631,x632)+E(f14(x633,x634,x631,x635),f14(x633,x634,x632,x635))
% 0.84/0.90 [64]~E(x641,x642)+E(f14(x643,x644,x645,x641),f14(x643,x644,x645,x642))
% 0.84/0.90 [65]~E(x651,x652)+E(f11(x651),f11(x652))
% 0.84/0.90 [66]~E(x661,x662)+E(f34(x661,x663,x664),f34(x662,x663,x664))
% 0.84/0.90 [67]~E(x671,x672)+E(f34(x673,x671,x674),f34(x673,x672,x674))
% 0.84/0.90 [68]~E(x681,x682)+E(f34(x683,x684,x681),f34(x683,x684,x682))
% 0.84/0.90 [69]~E(x691,x692)+E(f46(x691),f46(x692))
% 0.84/0.90 [70]~E(x701,x702)+E(f12(x701),f12(x702))
% 0.84/0.90 [71]~E(x711,x712)+E(f9(x711),f9(x712))
% 0.84/0.90 [72]~E(x721,x722)+E(f28(x721,x723,x724),f28(x722,x723,x724))
% 0.84/0.90 [73]~E(x731,x732)+E(f28(x733,x731,x734),f28(x733,x732,x734))
% 0.84/0.90 [74]~E(x741,x742)+E(f28(x743,x744,x741),f28(x743,x744,x742))
% 0.84/0.90 [75]~E(x751,x752)+E(f45(x751),f45(x752))
% 0.84/0.90 [76]~E(x761,x762)+E(f10(x761),f10(x762))
% 0.84/0.90 [77]~P1(x771)+P1(x772)+~E(x771,x772)
% 0.84/0.90 [78]~P2(x781)+P2(x782)+~E(x781,x782)
% 0.84/0.90 [79]~P25(x791)+P25(x792)+~E(x791,x792)
% 0.84/0.90 [80]~P26(x801)+P26(x802)+~E(x801,x802)
% 0.84/0.90 [81]~P44(x811)+P44(x812)+~E(x811,x812)
% 0.84/0.90 [82]~P10(x821)+P10(x822)+~E(x821,x822)
% 0.84/0.90 [83]~P27(x831)+P27(x832)+~E(x831,x832)
% 0.84/0.90 [84]~P11(x841)+P11(x842)+~E(x841,x842)
% 0.84/0.90 [85]~P15(x851)+P15(x852)+~E(x851,x852)
% 0.84/0.90 [86]~P28(x861)+P28(x862)+~E(x861,x862)
% 0.84/0.90 [87]~P31(x871)+P31(x872)+~E(x871,x872)
% 0.84/0.90 [88]~P32(x881)+P32(x882)+~E(x881,x882)
% 0.84/0.90 [89]~P34(x891)+P34(x892)+~E(x891,x892)
% 0.84/0.90 [90]~P20(x901)+P20(x902)+~E(x901,x902)
% 0.84/0.90 [91]~P12(x911)+P12(x912)+~E(x911,x912)
% 0.84/0.90 [92]~P16(x921)+P16(x922)+~E(x921,x922)
% 0.84/0.90 [93]~P19(x931)+P19(x932)+~E(x931,x932)
% 0.84/0.90 [94]~P41(x941)+P41(x942)+~E(x941,x942)
% 0.84/0.90 [95]~P35(x951)+P35(x952)+~E(x951,x952)
% 0.84/0.90 [96]~P46(x961)+P46(x962)+~E(x961,x962)
% 0.84/0.90 [97]~P36(x971)+P36(x972)+~E(x971,x972)
% 0.84/0.90 [98]~P37(x981)+P37(x982)+~E(x981,x982)
% 0.84/0.90 [99]~P29(x991)+P29(x992)+~E(x991,x992)
% 0.84/0.90 [100]~P23(x1001)+P23(x1002)+~E(x1001,x1002)
% 0.84/0.90 [101]~P21(x1011)+P21(x1012)+~E(x1011,x1012)
% 0.84/0.90 [102]~P45(x1021)+P45(x1022)+~E(x1021,x1022)
% 0.84/0.90 [103]~P30(x1031)+P30(x1032)+~E(x1031,x1032)
% 0.84/0.90 [104]~P24(x1041)+P24(x1042)+~E(x1041,x1042)
% 0.84/0.90 [105]~P17(x1051)+P17(x1052)+~E(x1051,x1052)
% 0.84/0.90 [106]~P33(x1061)+P33(x1062)+~E(x1061,x1062)
% 0.84/0.90 [107]~P47(x1071)+P47(x1072)+~E(x1071,x1072)
% 0.84/0.90 [108]P3(x1082,x1083,x1084)+~E(x1081,x1082)+~P3(x1081,x1083,x1084)
% 0.84/0.90 [109]P3(x1093,x1092,x1094)+~E(x1091,x1092)+~P3(x1093,x1091,x1094)
% 0.84/0.90 [110]P3(x1103,x1104,x1102)+~E(x1101,x1102)+~P3(x1103,x1104,x1101)
% 0.84/0.90 [111]P7(x1112,x1113,x1114)+~E(x1111,x1112)+~P7(x1111,x1113,x1114)
% 0.84/0.90 [112]P7(x1123,x1122,x1124)+~E(x1121,x1122)+~P7(x1123,x1121,x1124)
% 0.84/0.90 [113]P7(x1133,x1134,x1132)+~E(x1131,x1132)+~P7(x1133,x1134,x1131)
% 0.84/0.90 [114]P5(x1142,x1143,x1144)+~E(x1141,x1142)+~P5(x1141,x1143,x1144)
% 0.84/0.90 [115]P5(x1153,x1152,x1154)+~E(x1151,x1152)+~P5(x1153,x1151,x1154)
% 0.84/0.90 [116]P5(x1163,x1164,x1162)+~E(x1161,x1162)+~P5(x1163,x1164,x1161)
% 0.84/0.90 [117]P4(x1172,x1173,x1174)+~E(x1171,x1172)+~P4(x1171,x1173,x1174)
% 0.84/0.90 [118]P4(x1183,x1182,x1184)+~E(x1181,x1182)+~P4(x1183,x1181,x1184)
% 0.84/0.90 [119]P4(x1193,x1194,x1192)+~E(x1191,x1192)+~P4(x1193,x1194,x1191)
% 0.84/0.90 [120]P8(x1202,x1203,x1204)+~E(x1201,x1202)+~P8(x1201,x1203,x1204)
% 0.84/0.90 [121]P8(x1213,x1212,x1214)+~E(x1211,x1212)+~P8(x1213,x1211,x1214)
% 0.84/0.90 [122]P8(x1223,x1224,x1222)+~E(x1221,x1222)+~P8(x1223,x1224,x1221)
% 0.84/0.90 [123]~P38(x1231)+P38(x1232)+~E(x1231,x1232)
% 0.84/0.90 [124]P6(x1242,x1243)+~E(x1241,x1242)+~P6(x1241,x1243)
% 0.84/0.90 [125]P6(x1253,x1252)+~E(x1251,x1252)+~P6(x1253,x1251)
% 0.84/0.90 [126]~P40(x1261)+P40(x1262)+~E(x1261,x1262)
% 0.84/0.90 [127]~P13(x1271)+P13(x1272)+~E(x1271,x1272)
% 0.84/0.90 [128]~P22(x1281)+P22(x1282)+~E(x1281,x1282)
% 0.84/0.90 [129]~P42(x1291)+P42(x1292)+~E(x1291,x1292)
% 0.84/0.90 [130]~P39(x1301)+P39(x1302)+~E(x1301,x1302)
% 0.84/0.90 [131]~P14(x1311)+P14(x1312)+~E(x1311,x1312)
% 0.84/0.90 [132]P9(x1322,x1323,x1324)+~E(x1321,x1322)+~P9(x1321,x1323,x1324)
% 0.84/0.90 [133]P9(x1333,x1332,x1334)+~E(x1331,x1332)+~P9(x1333,x1331,x1334)
% 0.84/0.90 [134]P9(x1343,x1344,x1342)+~E(x1341,x1342)+~P9(x1343,x1344,x1341)
% 0.84/0.90 [135]~P18(x1351)+P18(x1352)+~E(x1351,x1352)
% 0.84/0.90 [136]~P43(x1361)+P43(x1362)+~E(x1361,x1362)
% 0.84/0.90
% 0.84/0.90 %-------------------------------------------
% 0.84/0.90 cnf(786,plain,
% 0.84/0.90 ($false),
% 0.84/0.90 inference(scs_inference,[],[293,270]),
% 0.84/0.90 ['proof']).
% 0.84/0.90 % SZS output end Proof
% 0.84/0.90 % Total time :0.040000s
%------------------------------------------------------------------------------