TSTP Solution File: LCL748-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 06:50:41 EDT 2023
% Result : Unsatisfiable 3.51s 3.83s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 05:07:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 3.51/3.79 %-------------------------------------------
% 3.51/3.79 % File :CSE---1.6
% 3.51/3.79 % Problem :theBenchmark
% 3.51/3.79 % Transform :cnf
% 3.51/3.79 % Format :tptp:raw
% 3.51/3.79 % Command :java -jar mcs_scs.jar %d %s
% 3.51/3.79
% 3.51/3.79 % Result :Theorem 3.110000s
% 3.51/3.79 % Output :CNFRefutation 3.110000s
% 3.51/3.79 %-------------------------------------------
% 3.51/3.79 %------------------------------------------------------------------------------
% 3.51/3.79 % File : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% 3.51/3.79 % Domain : Logic Calculi
% 3.51/3.79 % Problem : Strong normalization of typed lambda calculus 032_6
% 3.51/3.79 % Version : Especial.
% 3.51/3.79 % English :
% 3.51/3.79
% 3.51/3.79 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 3.51/3.79 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 3.51/3.79 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 3.51/3.79 % Source : [Nip10]
% 3.51/3.79 % Names : StrongNorm-032_6 [Nip10]
% 3.51/3.79
% 3.51/3.79 % Status : Unsatisfiable
% 3.51/3.79 % Rating : 0.14 v8.1.0, 0.05 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.30 v5.5.0, 0.45 v5.4.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 3.51/3.80 % Syntax : Number of clauses : 370 ( 103 unt; 47 nHn; 205 RR)
% 3.51/3.80 % Number of literals : 811 ( 279 equ; 421 neg)
% 3.51/3.80 % Maximal clause size : 5 ( 2 avg)
% 3.51/3.80 % Maximal term depth : 5 ( 1 avg)
% 3.51/3.80 % Number of predicates : 41 ( 40 usr; 0 prp; 1-3 aty)
% 3.51/3.80 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 3.51/3.80 % Number of variables : 925 ( 75 sgn)
% 3.51/3.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.51/3.80
% 3.51/3.80 % Comments :
% 3.51/3.80 %------------------------------------------------------------------------------
% 3.51/3.80 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.80 | 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) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.80 | 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) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.80 | 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) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 3.51/3.80 ( V_n = V_m
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__antisym_0,axiom,
% 3.51/3.80 ( V_m = V_n
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__SucE_0,axiom,
% 3.51/3.80 ( V_m = V_n
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_diff__Suc__Suc_0,axiom,
% 3.51/3.80 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.80 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.51/3.80 | V_c = V_d
% 3.51/3.80 | V_a = V_b ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.80 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 3.51/3.80 | V_y = V_z
% 3.51/3.80 | V_w = V_x ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_one__neq__zero_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.51/3.80 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_not__one__less__zero_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 3.51/3.80 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 3.51/3.80 | V_i = V_k
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_mult__neg__neg_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.80 | 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)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_mult__pos__pos_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.80 | 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)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_zero__less__mult__pos_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.51/3.80 | ~ 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) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_zero__less__mult__pos2_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.51/3.80 | ~ 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) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_one__is__add_2,axiom,
% 3.51/3.80 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.51/3.80 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.80 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_one__is__add_1,axiom,
% 3.51/3.80 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.51/3.80 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.80 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_even__less__0__iff_1,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_even__less__0__iff_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__Suc0_1,axiom,
% 3.51/3.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.51/3.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_no__zero__divisors_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.51/3.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_mult__eq__0__iff_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.51/3.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__add__iff1_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__add__iff1_1,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__add__iff2_0,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_less__add__iff2_1,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.51/3.80 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 3.51/3.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_One__nat__def_0,axiom,
% 3.51/3.80 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_nat_Oinject_0,axiom,
% 3.51/3.80 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 3.51/3.80 | V_nat = V_nat_H ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_Suc__inject_0,axiom,
% 3.51/3.80 ( c_Suc(V_x) != c_Suc(V_y)
% 3.51/3.80 | V_x = V_y ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_double__eq__0__iff_0,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.80 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_add__is__0_1,axiom,
% 3.51/3.80 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.80 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_add__is__0_0,axiom,
% 3.51/3.80 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.80 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_liftn__lift_0,axiom,
% 3.51/3.80 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 3.51/3.80 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_diff__self__eq__0_0,axiom,
% 3.51/3.80 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 3.51/3.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.80 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.80 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_diff__self_0,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.80 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_diff__0__right_0,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.80 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_right__minus__eq_1,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.80 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 3.51/3.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.80 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.80
% 3.51/3.80 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 3.51/3.80 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 3.51/3.80 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__eq__self__zero_0,axiom,
% 3.51/3.81 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 3.51/3.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.81 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.81 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 3.51/3.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_of__nat__eq__iff_0,axiom,
% 3.51/3.81 ( ~ class_Nat_Osemiring__char__0(T_a)
% 3.51/3.81 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 3.51/3.81 | V_m = V_n ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_diff__less__mono2_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__add__eq__less_0,axiom,
% 3.51/3.81 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_diff__Suc__1_0,axiom,
% 3.51/3.81 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_trans__less__add2_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_trans__less__add1_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__lessD1_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__iff__Suc__add_1,axiom,
% 3.51/3.81 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__add__Suc2_0,axiom,
% 3.51/3.81 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__add__Suc1_0,axiom,
% 3.51/3.81 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_eq__add__iff1_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_eq__add__iff2_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 3.51/3.81 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_eq__add__iff2_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_Zero__neq__Suc_0,axiom,
% 3.51/3.81 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 3.51/3.81 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__Suc_0,axiom,
% 3.51/3.81 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__Suc__right_0,axiom,
% 3.51/3.81 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_eq__add__iff1_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__semiring_Omul__1_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__1_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__1__left_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__eq__0__iff_2,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__eq__0__iff_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__zero__right_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__zero__left_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__semiring_Omul__0_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__eq__if_1,axiom,
% 3.51/3.81 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))
% 3.51/3.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__imp__diff__less_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_one__is__add_4,axiom,
% 3.51/3.81 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat__less__le_1,axiom,
% 3.51/3.81 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__not__refl_0,axiom,
% 3.51/3.81 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_order__less__le_1,axiom,
% 3.51/3.81 ( ~ class_Orderings_Oorder(T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__neq__iff_1,axiom,
% 3.51/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_order__less__irrefl_0,axiom,
% 3.51/3.81 ( ~ class_Orderings_Opreorder(T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 3.51/3.81 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat))
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__pos__pos_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.51/3.81 | V_x = V_y ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 3.51/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.81 | V_x = V_y
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat__neq__iff_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.81 | V_m = V_n ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_diffs0__imp__equal_0,axiom,
% 3.51/3.81 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.81 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.81 | V_m = V_n ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__neqE__nat_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 3.51/3.81 | V_x = V_y ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__neqE_0,axiom,
% 3.51/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.51/3.81 | V_x = V_y ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__less__linear_0,axiom,
% 3.51/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.51/3.81 | V_x = V_y
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_linorder__antisym__conv3_0,axiom,
% 3.51/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.81 | V_x = V_y
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_Suc__diff__1_0,axiom,
% 3.51/3.81 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_Suc__pred_H_0,axiom,
% 3.51/3.81 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__strict__mono_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__mono_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 3.51/3.81 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_Suc__neq__Zero_0,axiom,
% 3.51/3.81 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__iff__diff__less__0_1,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__iff__diff__less__0_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_of__nat__less__iff_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_of__nat__less__iff_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_lessI_0,axiom,
% 3.51/3.81 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__Suc__eq_2,axiom,
% 3.51/3.81 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__trans__Suc_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_zero__less__one_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__left__idem_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 3.51/3.81 | 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) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_of__nat__0__less__iff_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_of__nat__0__less__iff_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_gr0I_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.51/3.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_liftn__0_0,axiom,
% 3.51/3.81 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_neq0__conv_1,axiom,
% 3.51/3.81 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__pos__neg2_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.81 | 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)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__pos__neg_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.81 | 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)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_mult__neg__pos_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.81 | 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)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_substn__subst__0_0,axiom,
% 3.51/3.81 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_pos__add__strict_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_not__add__less1_0,axiom,
% 3.51/3.81 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_not__add__less2_0,axiom,
% 3.51/3.81 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.81 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 3.51/3.81 | V_c = V_d
% 3.51/3.81 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.81 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 3.51/3.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.81 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__diff__conv_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_less__diff__conv_1,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_Suc__n__not__n_0,axiom,
% 3.51/3.81 c_Suc(V_n) != V_n ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_n__not__Suc__n_0,axiom,
% 3.51/3.81 V_n != c_Suc(V_n) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__strict__right__mono_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__cancel__right_1,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__cancel__right_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__strict__left__mono_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__cancel__left_1,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__cancel__left_0,axiom,
% 3.51/3.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.51/3.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_add__less__mono1_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 3.51/3.81
% 3.51/3.81 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 3.51/3.81 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_5,axiom,
% 3.51/3.82 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__idem_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_zero__less__diff_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_zero__less__diff_1,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_Suc__lessD_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_less__SucI_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(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) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_Suc__pred_0,axiom,
% 3.51/3.82 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__less_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_less__eqI_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_less__eqI_1,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__diff__inverse_0,axiom,
% 3.51/3.82 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__Suc__less_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_1,axiom,
% 3.51/3.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_2,axiom,
% 3.51/3.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Omul__a_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Omul__d_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_xt1_I9_J_0,axiom,
% 3.51/3.82 ( ~ class_Orderings_Oorder(T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 3.51/3.82 ( ~ class_Orderings_Olinorder(T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_order__less__asym_0,axiom,
% 3.51/3.82 ( ~ class_Orderings_Opreorder(T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_order__less__asym_H_0,axiom,
% 3.51/3.82 ( ~ class_Orderings_Opreorder(T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__1__right_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_4,axiom,
% 3.51/3.82 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.82 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.82 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_less__Suc0_0,axiom,
% 3.51/3.82 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__add__cancel_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_substn__subst__n_0,axiom,
% 3.51/3.82 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Omul__c_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_double__eq__0__iff_1,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__0_2,axiom,
% 3.51/3.82 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__less__Suc_0,axiom,
% 3.51/3.82 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_order__less__trans_0,axiom,
% 3.51/3.82 ( ~ class_Orderings_Opreorder(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_xt1_I10_J_0,axiom,
% 3.51/3.82 ( ~ class_Orderings_Oorder(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__gr__0_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_gr__implies__not0_0,axiom,
% 3.51/3.82 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__less0_0,axiom,
% 3.51/3.82 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_one__is__add_5,axiom,
% 3.51/3.82 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__add__0_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__diff__left_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_eq__eqI_1,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 3.51/3.82 | V_xa = V_y ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_eq__eqI_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.51/3.82 | V_x_H = V_y_H ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_zero__neq__one_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 3.51/3.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_one__is__add_3,axiom,
% 3.51/3.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.51/3.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_one__is__add_0,axiom,
% 3.51/3.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 3.51/3.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_of__nat__Suc_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 3.51/3.82 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__Suc__shift_0,axiom,
% 3.51/3.82 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__0__eq__0_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__cancel2_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__cancel_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_zero__less__Suc_0,axiom,
% 3.51/3.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_gr0__conv__Suc_1,axiom,
% 3.51/3.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_combine__common__factor_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_of__nat__0_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 3.51/3.82 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__neg__neg_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.82 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.82 | V_x = V_y ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_right__minus__eq_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.82 | V_a = V_b ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.82 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.51/3.82 | V_a = V_b ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__commute_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__square__less__zero_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_Suc__lessI_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 3.51/3.82 | c_Suc(V_m) = V_n
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_3,axiom,
% 3.51/3.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_add__is__1_0,axiom,
% 3.51/3.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.51/3.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.51/3.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_Suc__diff__diff_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 3.51/3.82 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 3.51/3.82 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 3.51/3.82 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_of__nat__less__0__iff_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_substn_Osimps_I1_J_0,axiom,
% 3.51/3.82 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 3.51/3.82 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 3.51/3.82 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Oliftn(V_n,V_s,V_k),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ 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) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 3.51/3.82 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__less__eq_1,axiom,
% 3.51/3.82 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_not__less__eq_0,axiom,
% 3.51/3.82 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | ~ 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__strict__left__mono_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__strict__right__mono_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 3.51/3.82 | 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)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.51/3.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_zero__less__two_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 3.51/3.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 3.51/3.82
% 3.51/3.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 3.51/3.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 3.51/3.83 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 3.51/3.83 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 3.51/3.83 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.83 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.83 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__0__left_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(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),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 3.51/3.83 c_Lambda_Osubstn(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(V_t,V_s,V_k),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_diff__add__inverse2_0,axiom,
% 3.51/3.83 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_diff__add__inverse_0,axiom,
% 3.51/3.83 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__diff__cancel_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.51/3.83 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_less__1__mult_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.83 | 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)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Suc__less__eq_0,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Suc__mono_0,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__gr__0_2,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__gr__0_1,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.51/3.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_beta__cases_I2_J_0,axiom,
% 3.51/3.83 ( V_s = c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s))
% 3.51/3.83 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_r),V_s) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift__lift_0,axiom,
% 3.51/3.83 ( c_Lambda_Olift(c_Lambda_Olift(V_t,V_i),c_Suc(V_k)) = c_Lambda_Olift(c_Lambda_Olift(V_t,V_k),V_i)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift__subst_0,axiom,
% 3.51/3.83 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(V_s,V_i),V_j)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_j,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 3.51/3.83 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_appL_0,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u))
% 3.51/3.83 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_appR_0,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t))
% 3.51/3.83 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__subst_0,axiom,
% 3.51/3.83 ( c_Lambda_Osubst(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_v,V_i),c_Suc(V_j)),c_Lambda_Osubst(V_u,V_v,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Osubst(V_t,V_u,V_i),V_v,V_j)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__Abs_0,axiom,
% 3.51/3.83 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__right__cancel_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 3.51/3.83 | V_b = V_c ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__left__cancel_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.51/3.83 | V_b = V_c ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__imp__eq_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.51/3.83 | V_b = V_c ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.51/3.83 | ~ class_Int_Onumber__ring(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 3.51/3.83 | V_y = V_z ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_nat__add__left__cancel_0,axiom,
% 3.51/3.83 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 3.51/3.83 | V_m = V_n ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_nat__add__right__cancel_0,axiom,
% 3.51/3.83 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 3.51/3.83 | V_m = V_n ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 3.51/3.83 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 3.51/3.83 | V_y = V_z ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift__subst__lt_0,axiom,
% 3.51/3.83 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,V_i),c_Lambda_Olift(V_s,V_i),c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_of__nat__1_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 3.51/3.83 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__Var_1,axiom,
% 3.51/3.83 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 3.51/3.83 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 3.51/3.83 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.83 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__cancel__21_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_nat__add__assoc_0,axiom,
% 3.51/3.83 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_nat__add__left__commute_0,axiom,
% 3.51/3.83 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_add__cancel__21_1,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__Var_2,axiom,
% 3.51/3.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 3.51/3.83 | V_i = V_k
% 3.51/3.83 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__preserves__beta_0,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 3.51/3.83 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Suc__eq__plus1_0,axiom,
% 3.51/3.83 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 3.51/3.83 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 3.51/3.83 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 3.51/3.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_nat__add__commute_0,axiom,
% 3.51/3.83 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.51/3.83 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_beta_0,axiom,
% 3.51/3.83 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 3.51/3.83 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 3.51/3.83 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 3.51/3.83 | V_dB2 = V_dB2_H ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 3.51/3.83 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 3.51/3.83 | V_dB1 = V_dB1_H ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_beta__cases_I1_J_0,axiom,
% 3.51/3.83 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_less__add__one_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 3.51/3.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_beta__cases_I2_J_1,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(V_r,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s))
% 3.51/3.83 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_r),V_s) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__gt_0,axiom,
% 3.51/3.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__Var_0,axiom,
% 3.51/3.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__lt_0,axiom,
% 3.51/3.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 3.51/3.83 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__eq_0,axiom,
% 3.51/3.83 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 3.51/3.83 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 3.51/3.83 | V_nat = V_nat_H ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__App_0,axiom,
% 3.51/3.83 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_of__nat__add_0,axiom,
% 3.51/3.83 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 3.51/3.83 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 3.51/3.83 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 3.51/3.83 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 3.51/3.83 | V_dB = V_dB_H ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 3.51/3.83 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 3.51/3.83 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_Lambda_0,axiom,
% 3.51/3.83 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 3.51/3.83 | ~ c_InductTermi_OIT(V_r) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_subst__lift_0,axiom,
% 3.51/3.83 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_lift__preserves__beta_0,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 3.51/3.83 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_abs_0,axiom,
% 3.51/3.83 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 3.51/3.83 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_conjecture_0,negated_conjecture,
% 3.51/3.83 c_InductTermi_OIT(v_r) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_conjecture_1,negated_conjecture,
% 3.51/3.83 c_InductTermi_OIT(c_Lambda_Olift(v_r,V_i)) ).
% 3.51/3.83
% 3.51/3.83 cnf(cls_conjecture_2,negated_conjecture,
% 3.51/3.83 ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.51/3.83 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.51/3.83 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.51/3.83 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.51/3.83 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.51/3.83 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.51/3.83 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.51/3.83 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.51/3.83 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 3.51/3.83 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.51/3.83 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.51/3.83 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 3.51/3.83 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 3.51/3.83 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 3.51/3.83 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.51/3.83 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 3.51/3.83 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 3.51/3.83 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 3.51/3.83 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 3.51/3.83 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 3.51/3.83 class_Ring__and__Field_Osemiring(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 3.51/3.83 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 3.51/3.83 class_Nat_Osemiring__char__0(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 3.51/3.83 class_Orderings_Opreorder(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 3.51/3.83 class_Orderings_Olinorder(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 3.51/3.83 class_Orderings_Oorder(tc_nat) ).
% 3.51/3.83
% 3.51/3.83 %------------------------------------------------------------------------------
% 3.51/3.83 %-------------------------------------------
% 3.51/3.83 % Proof found
% 3.51/3.83 % SZS status Theorem for theBenchmark
% 3.51/3.83 % SZS output start Proof
% 3.63/3.83 %ClaNum:441(EqnAxiom:73)
% 3.63/3.83 %VarNum:2056(SingletonVarNum:759)
% 3.63/3.83 %MaxLitNum:5
% 3.63/3.83 %MaxfuncDepth:4
% 3.63/3.83 %SharedTerms:44
% 3.63/3.83 %goalClause: 99 100 161
% 3.63/3.83 %singleGoalClaCount:3
% 3.63/3.83 [74]P1(a1)
% 3.63/3.83 [75]P27(a1)
% 3.63/3.83 [76]P28(a1)
% 3.63/3.83 [77]P35(a1)
% 3.63/3.83 [78]P29(a1)
% 3.63/3.83 [79]P2(a1)
% 3.63/3.83 [80]P7(a1)
% 3.63/3.83 [81]P15(a1)
% 3.63/3.83 [82]P30(a1)
% 3.63/3.83 [83]P19(a1)
% 3.63/3.83 [84]P20(a1)
% 3.63/3.83 [85]P25(a1)
% 3.63/3.83 [86]P21(a1)
% 3.63/3.83 [87]P22(a1)
% 3.63/3.83 [88]P23(a1)
% 3.63/3.83 [89]P8(a1)
% 3.63/3.83 [90]P26(a1)
% 3.63/3.83 [91]P36(a1)
% 3.63/3.83 [92]P37(a1)
% 3.63/3.83 [93]P32(a1)
% 3.63/3.83 [94]P12(a1)
% 3.63/3.83 [95]P16(a1)
% 3.63/3.83 [96]P13(a1)
% 3.63/3.83 [97]P14(a1)
% 3.63/3.83 [98]P9(a1)
% 3.63/3.83 [99]P3(a15)
% 3.63/3.83 [161]~P3(f2(f10(a15),a16))
% 3.63/3.83 [163]~P4(x1631,x1631,a1)
% 3.63/3.83 [100]P3(f2(a15,x1001))
% 3.63/3.83 [101]E(f3(x1011,x1011,a1),f4(a1))
% 3.63/3.83 [165]~P4(x1651,f4(a1),a1)
% 3.63/3.83 [103]E(f3(x1031,f4(a1),a1),x1031)
% 3.63/3.83 [104]E(f5(x1041,f4(a1),a1),x1041)
% 3.63/3.83 [105]E(f5(f4(a1),x1051,a1),x1051)
% 3.63/3.83 [107]E(f3(f4(a1),x1071,a1),f4(a1))
% 3.63/3.83 [119]P4(x1191,f5(x1191,f6(a1),a1),a1)
% 3.63/3.83 [122]P4(f4(a1),f5(x1221,f6(a1),a1),a1)
% 3.63/3.83 [167]~E(f5(x1671,f6(a1),a1),x1671)
% 3.63/3.83 [171]~E(f5(x1711,f6(a1),a1),f4(a1))
% 3.63/3.83 [112]E(f5(x1121,x1122,a1),f5(x1122,x1121,a1))
% 3.63/3.83 [155]~E(f10(x1551),f8(x1552))
% 3.63/3.83 [160]~P5(f8(x1601),x1602)
% 3.63/3.83 [173]~P4(f5(x1731,x1732,a1),x1732,a1)
% 3.63/3.83 [174]~P4(f5(x1741,x1742,a1),x1741,a1)
% 3.63/3.83 [106]E(f11(f4(a1),x1061,x1062),x1061)
% 3.63/3.83 [108]E(f12(f8(x1081),x1082,x1081),x1082)
% 3.63/3.83 [115]E(f3(f5(x1151,x1152,a1),x1152,a1),x1151)
% 3.63/3.83 [116]E(f3(f5(x1161,x1162,a1),x1161,a1),x1162)
% 3.63/3.83 [117]E(f3(x1171,f5(x1171,x1172,a1),a1),f4(a1))
% 3.63/3.83 [120]P5(f9(f10(x1201),x1202),f12(x1201,x1202,f4(a1)))
% 3.63/3.83 [129]E(f12(x1291,f11(f4(a1),x1292,f4(a1)),f4(a1)),f12(x1291,x1292,f4(a1)))
% 3.63/3.83 [130]P4(f3(x1301,x1302,a1),f5(x1301,f6(a1),a1),a1)
% 3.63/3.83 [146]P4(x1461,f5(f5(x1462,x1461,a1),f6(a1),a1),a1)
% 3.63/3.83 [148]P4(x1481,f5(f5(x1481,x1482,a1),f6(a1),a1),a1)
% 3.63/3.83 [142]E(f5(f5(x1421,f6(a1),a1),x1422,a1),f5(f5(x1421,x1422,a1),f6(a1),a1))
% 3.63/3.83 [143]E(f3(f3(x1431,f6(a1),a1),x1432,a1),f3(x1431,f5(x1432,f6(a1),a1),a1))
% 3.63/3.83 [144]E(f5(f5(x1441,f6(a1),a1),x1442,a1),f5(x1441,f5(x1442,f6(a1),a1),a1))
% 3.63/3.83 [131]E(f10(f2(x1311,f5(x1312,f6(a1),a1))),f2(f10(x1311),x1312))
% 3.63/3.83 [156]~E(f8(x1561),f9(x1562,x1563))
% 3.63/3.83 [157]~E(f10(x1571),f9(x1572,x1573))
% 3.63/3.83 [158]~E(f9(x1581,x1582),f8(x1583))
% 3.63/3.83 [159]~E(f9(x1591,x1592),f10(x1593))
% 3.63/3.83 [111]E(f12(f2(x1111,x1112),x1113,x1112),x1111)
% 3.63/3.83 [113]E(f9(f2(x1131,x1132),f2(x1133,x1132)),f2(f9(x1131,x1133),x1132))
% 3.63/3.83 [135]E(f5(x1351,f5(x1352,x1353,a1),a1),f5(x1352,f5(x1351,x1353,a1),a1))
% 3.63/3.83 [136]E(f3(f3(x1361,x1362,a1),x1363,a1),f3(x1361,f5(x1362,x1363,a1),a1))
% 3.63/3.83 [137]E(f5(f5(x1371,x1372,a1),x1373,a1),f5(x1371,f5(x1372,x1373,a1),a1))
% 3.63/3.83 [138]E(f3(f3(x1381,x1382,a1),x1383,a1),f3(f3(x1381,x1383,a1),x1382,a1))
% 3.63/3.83 [139]E(f3(f5(x1391,x1392,a1),f5(x1393,x1392,a1),a1),f3(x1391,x1393,a1))
% 3.63/3.83 [140]E(f3(f5(x1401,x1402,a1),f5(x1401,x1403,a1),a1),f3(x1402,x1403,a1))
% 3.63/3.83 [132]E(f11(f5(x1321,f6(a1),a1),x1322,x1323),f2(f11(x1321,x1322,x1323),x1323))
% 3.63/3.83 [151]E(f3(f3(f5(x1511,f6(a1),a1),x1512,a1),f5(x1513,f6(a1),a1),a1),f3(f3(x1511,x1512,a1),x1513,a1))
% 3.63/3.83 [149]E(f10(f11(x1491,x1492,f5(x1493,f6(a1),a1))),f11(x1491,f10(x1492),x1493))
% 3.63/3.83 [150]E(f10(f12(x1501,f2(x1502,f4(a1)),f5(x1503,f6(a1),a1))),f12(f10(x1501),x1502,x1503))
% 3.63/3.83 [153]E(f10(f12(x1531,f11(f5(x1532,f6(a1),a1),x1533,f4(a1)),f5(x1532,f6(a1),a1))),f12(f10(x1531),f11(x1532,x1533,f4(a1)),x1532))
% 3.63/3.83 [133]E(f9(f11(x1331,x1332,x1333),f11(x1331,x1334,x1333)),f11(x1331,f9(x1332,x1334),x1333))
% 3.63/3.83 [134]E(f9(f12(x1341,x1342,x1343),f12(x1344,x1342,x1343)),f12(f9(x1341,x1344),x1342,x1343))
% 3.63/3.83 [177]~P3(x1771)+P3(f10(x1771))
% 3.63/3.83 [179]~P27(x1791)+~E(f6(x1791),f4(x1791))
% 3.63/3.83 [186]E(x1861,f4(a1))+P4(f4(a1),x1861,a1)
% 3.63/3.83 [215]~P28(x2151)+P4(f4(x2151),f6(x2151),x2151)
% 3.63/3.83 [239]~P28(x2391)+~P4(f6(x2391),f4(x2391),x2391)
% 3.63/3.83 [180]~P36(x1801)+E(f14(f4(a1),x1801),f4(x1801))
% 3.63/3.83 [181]~P36(x1811)+E(f14(f6(a1),x1811),f6(x1811))
% 3.63/3.83 [217]~P18(x2171)+E(f5(f4(x2171),f4(x2171),x2171),f4(x2171))
% 3.63/3.83 [279]~P28(x2791)+P4(f4(x2791),f5(f6(x2791),f6(x2791),x2791),x2791)
% 3.63/3.83 [308]~P4(f4(a1),x3081,a1)+E(f5(f3(x3081,f6(a1),a1),f6(a1),a1),x3081)
% 3.63/3.83 [312]E(x3121,f4(a1))+~P4(x3121,f5(f4(a1),f6(a1),a1),a1)
% 3.63/3.83 [403]~P4(f4(a1),x4031,a1)+E(f5(f3(x4031,f5(f4(a1),f6(a1),a1),a1),f6(a1),a1),x4031)
% 3.63/3.83 [331]~P34(x3311)+E(f5(f7(f4(x3311),f4(x3311),x3311),f7(f4(x3311),f4(x3311),x3311),x3311),f4(x3311))
% 3.63/3.83 [437]~P34(x4371)+~P4(f4(x4371),f5(f7(f4(x4371),f4(x4371),x4371),f7(f4(x4371),f4(x4371),x4371),x4371),x4371)
% 3.63/3.83 [225]~P4(x2252,x2252,x2251)+~P19(x2251)
% 3.63/3.83 [226]~P4(x2262,x2262,x2261)+~P20(x2261)
% 3.63/3.83 [227]~P4(x2272,x2272,x2271)+~P25(x2271)
% 3.63/3.83 [175]E(x1751,x1752)+~E(f8(x1751),f8(x1752))
% 3.63/3.83 [176]E(x1761,x1762)+~E(f10(x1761),f10(x1762))
% 3.63/3.83 [184]~P5(x1841,x1842)+P5(f10(x1841),f10(x1842))
% 3.63/3.83 [187]~P11(x1872)+E(f7(x1871,x1871,x1872),x1871)
% 3.63/3.83 [190]~P17(x1902)+E(f3(x1901,x1901,x1902),f4(x1902))
% 3.63/3.83 [191]~P10(x1912)+E(f3(x1911,x1911,x1912),f4(x1912))
% 3.63/3.83 [213]~P5(f10(x2131),x2132)+P5(x2131,f13(x2131,x2132))
% 3.63/3.83 [219]~E(f5(x2192,x2191,a1),x2192)+E(x2191,f4(a1))
% 3.63/3.83 [223]E(x2231,f4(a1))+~E(f5(x2232,x2231,a1),f4(a1))
% 3.63/3.83 [224]E(x2241,f4(a1))+~E(f5(x2241,x2242,a1),f4(a1))
% 3.63/3.83 [252]~P28(x2521)+~P4(f14(x2522,x2521),f4(x2521),x2521)
% 3.63/3.83 [301]~P4(x3012,x3011,a1)+P4(f4(a1),f3(x3011,x3012,a1),a1)
% 3.63/3.83 [316]~P34(x3161)+~P4(f7(x3162,x3162,x3161),f4(x3161),x3161)
% 3.63/3.83 [323]P4(x3231,x3232,a1)+~P4(f4(a1),f3(x3232,x3231,a1),a1)
% 3.63/3.83 [188]~P5(f10(x1881),x1882)+E(f10(f13(x1881,x1882)),x1882)
% 3.63/3.83 [192]~P1(x1922)+E(f7(x1921,f6(x1922),x1922),x1921)
% 3.63/3.83 [193]~P15(x1932)+E(f7(x1931,f6(x1932),x1932),x1931)
% 3.63/3.83 [194]~P17(x1942)+E(f3(x1941,f4(x1942),x1942),x1941)
% 3.63/3.83 [195]~P1(x1952)+E(f5(x1951,f4(x1952),x1952),x1951)
% 3.63/3.83 [196]~P12(x1962)+E(f5(x1961,f4(x1962),x1962),x1961)
% 3.63/3.83 [197]~P16(x1972)+E(f5(x1971,f4(x1972),x1972),x1971)
% 3.63/3.83 [199]~P1(x1991)+E(f7(f6(x1991),x1992,x1991),x1992)
% 3.63/3.83 [200]~P7(x2001)+E(f7(f6(x2001),x2002,x2001),x2002)
% 3.63/3.83 [201]~P15(x2011)+E(f7(f6(x2011),x2012,x2011),x2012)
% 3.63/3.83 [203]~P1(x2031)+E(f5(f4(x2031),x2032,x2031),x2032)
% 3.63/3.83 [204]~P12(x2041)+E(f5(f4(x2041),x2042,x2041),x2042)
% 3.63/3.83 [205]~P16(x2051)+E(f5(f4(x2051),x2052,x2051),x2052)
% 3.63/3.83 [206]~P1(x2062)+E(f7(x2061,f4(x2062),x2062),f4(x2062))
% 3.63/3.83 [207]~P38(x2072)+E(f7(x2071,f4(x2072),x2072),f4(x2072))
% 3.63/3.83 [208]~P30(x2082)+E(f7(x2081,f4(x2082),x2082),f4(x2082))
% 3.63/3.83 [210]~P1(x2101)+E(f7(f4(x2101),x2102,x2101),f4(x2101))
% 3.63/3.83 [211]~P38(x2111)+E(f7(f4(x2111),x2112,x2111),f4(x2111))
% 3.63/3.83 [212]~P30(x2121)+E(f7(f4(x2121),x2122,x2121),f4(x2121))
% 3.63/3.83 [232]~P4(x2321,x2322,a1)+E(f2(f8(x2321),x2322),f8(x2321))
% 3.63/3.83 [272]~P28(x2722)+P4(x2721,f5(x2721,f6(x2722),x2722),x2722)
% 3.63/3.83 [281]P4(x2812,x2811,a1)+E(f5(x2811,f3(x2812,x2811,a1),a1),x2812)
% 3.63/3.83 [282]P4(x2821,x2822,a1)+P4(x2822,f5(x2821,f6(a1),a1),a1)
% 3.63/3.83 [352]~P4(x3521,x3522,a1)+~P4(x3522,f5(x3521,f6(a1),a1),a1)
% 3.63/3.83 [381]E(x3811,f4(a1))+E(f5(f5(f3(x3811,f6(a1),a1),x3812,a1),f6(a1),a1),f5(x3811,x3812,a1))
% 3.63/3.83 [404]P4(x4041,x4042,a1)+~P4(f5(x4041,f6(a1),a1),f5(x4042,f6(a1),a1),a1)
% 3.63/3.83 [276]P4(x2761,x2762,a1)+E(f2(f8(x2761),x2762),f8(f5(x2761,f6(a1),a1)))
% 3.63/3.83 [284]~P36(x2841)+E(f5(f6(x2841),f14(x2842,x2841),x2841),f14(f5(x2842,f6(a1),a1),x2841))
% 3.63/3.83 [303]~P1(x3032)+E(f5(x3031,x3031,x3032),f7(f5(f6(x3032),f6(x3032),x3032),x3031,x3032))
% 3.63/3.83 [402]~P4(f4(a1),x4021,a1)+P4(f3(x4021,f5(x4022,f6(a1),a1),a1),x4021,a1)
% 3.63/3.83 [220]~P5(x2201,x2203)+P5(f2(x2201,x2202),f2(x2203,x2202))
% 3.63/3.83 [221]~P5(x2211,x2213)+P5(f9(x2211,x2212),f9(x2213,x2212))
% 3.63/3.83 [222]~P5(x2222,x2223)+P5(f9(x2221,x2222),f9(x2221,x2223))
% 3.63/3.83 [242]~P1(x2423)+E(f7(x2421,x2422,x2423),f7(x2422,x2421,x2423))
% 3.63/3.83 [244]~P1(x2443)+E(f5(x2441,x2442,x2443),f5(x2442,x2441,x2443))
% 3.63/3.83 [245]~P12(x2453)+E(f5(x2451,x2452,x2453),f5(x2452,x2451,x2453))
% 3.63/3.83 [256]E(x2561,x2562)+~E(f5(x2563,x2561,a1),f5(x2563,x2562,a1))
% 3.63/3.83 [257]E(x2571,x2572)+~E(f5(x2571,x2573,a1),f5(x2572,x2573,a1))
% 3.63/3.83 [297]~P4(x2971,x2973,a1)+P4(x2971,f5(x2972,x2973,a1),a1)
% 3.63/3.83 [299]~P4(x2991,x2992,a1)+P4(x2991,f5(x2992,x2993,a1),a1)
% 3.63/3.83 [300]~P4(x3001,x3003,a1)+P4(f3(x3001,x3002,a1),x3003,a1)
% 3.63/3.83 [320]P4(x3201,x3202,a1)+~P4(f5(x3201,x3203,a1),x3202,a1)
% 3.63/3.83 [355]~P4(x3551,x3553,a1)+P4(f5(x3551,x3552,a1),f5(x3553,x3552,a1),a1)
% 3.63/3.83 [356]~P4(x3562,x3563,a1)+P4(f5(x3561,x3562,a1),f5(x3561,x3563,a1),a1)
% 3.63/3.83 [375]~P4(f5(x3751,x3753,a1),x3752,a1)+P4(x3751,f3(x3752,x3753,a1),a1)
% 3.63/3.83 [376]~P4(x3761,f3(x3763,x3762,a1),a1)+P4(f5(x3761,x3762,a1),x3763,a1)
% 3.63/3.83 [401]P4(x4011,x4012,a1)+~P4(f5(x4013,x4011,a1),f5(x4013,x4012,a1),a1)
% 3.63/3.83 [253]~P4(x2532,x2533,a1)+E(f11(x2531,f8(x2532),x2533),f8(x2532))
% 3.63/3.83 [254]~P4(x2541,x2543,a1)+E(f12(f8(x2541),x2542,x2543),f8(x2541))
% 3.63/3.83 [258]~P17(x2583)+E(f3(f5(x2581,x2582,x2583),x2582,x2583),x2581)
% 3.63/3.83 [259]~P17(x2593)+E(f5(f3(x2591,x2592,x2593),x2592,x2593),x2591)
% 3.63/3.83 [285]P4(x2852,x2853,a1)+E(f11(x2851,f8(x2852),x2853),f8(f5(x2852,x2851,a1)))
% 3.63/3.83 [286]~P11(x2863)+E(f7(x2861,f7(x2861,x2862,x2863),x2863),f7(x2861,x2862,x2863))
% 3.63/3.83 [288]~P36(x2882)+E(f5(f14(x2881,x2882),f14(x2883,x2882),x2882),f14(f5(x2881,x2883,a1),x2882))
% 3.63/3.83 [433]~P34(x4331)+~P4(f5(f7(x4332,x4332,x4331),f7(x4333,x4333,x4331),x4331),f4(x4331),x4331)
% 3.63/3.83 [310]~P4(x3103,x3101,a1)+E(f12(f8(x3101),x3102,x3103),f8(f3(x3101,f6(a1),a1)))
% 3.63/3.83 [353]~P1(x3533)+E(f5(x3531,f7(x3532,x3531,x3533),x3533),f7(f5(x3532,f6(x3533),x3533),x3531,x3533))
% 3.63/3.83 [354]~P1(x3543)+E(f5(f7(x3541,x3542,x3543),x3542,x3543),f7(f5(x3541,f6(x3543),x3543),x3542,x3543))
% 3.63/3.83 [388]~P4(x3882,f5(x3883,f6(a1),a1),a1)+E(f2(f2(x3881,x3882),f5(x3883,f6(a1),a1)),f2(f2(x3881,x3883),x3882))
% 3.63/3.83 [182]E(x1821,x1822)+~E(f9(x1823,x1821),f9(x1824,x1822))
% 3.63/3.83 [183]E(x1831,x1832)+~E(f9(x1831,x1833),f9(x1832,x1834))
% 3.63/3.83 [306]~P5(x3061,x3064)+P5(f12(x3061,x3062,x3063),f12(x3064,x3062,x3063))
% 3.63/3.83 [332]~P1(x3324)+E(f7(x3321,f7(x3322,x3323,x3324),x3324),f7(x3322,f7(x3321,x3323,x3324),x3324))
% 3.63/3.83 [333]~P1(x3334)+E(f5(x3331,f5(x3332,x3333,x3334),x3334),f5(x3332,f5(x3331,x3333,x3334),x3334))
% 3.63/3.83 [334]~P10(x3344)+E(f5(x3341,f5(x3342,x3343,x3344),x3344),f5(x3342,f5(x3341,x3343,x3344),x3344))
% 3.63/3.83 [335]~P12(x3354)+E(f5(x3351,f5(x3352,x3353,x3354),x3354),f5(x3352,f5(x3351,x3353,x3354),x3354))
% 3.63/3.83 [340]~P1(x3403)+E(f7(f7(x3401,x3402,x3403),x3404,x3403),f7(x3401,f7(x3402,x3404,x3403),x3403))
% 3.63/3.83 [341]~P8(x3413)+E(f7(f7(x3411,x3412,x3413),x3414,x3413),f7(x3411,f7(x3412,x3414,x3413),x3413))
% 3.63/3.83 [342]~P1(x3423)+E(f5(f5(x3421,x3422,x3423),x3424,x3423),f5(x3421,f5(x3422,x3424,x3423),x3423))
% 3.63/3.83 [343]~P12(x3433)+E(f5(f5(x3431,x3432,x3433),x3434,x3433),f5(x3431,f5(x3432,x3434,x3433),x3433))
% 3.63/3.83 [344]~P9(x3443)+E(f5(f5(x3441,x3442,x3443),x3444,x3443),f5(x3441,f5(x3442,x3444,x3443),x3443))
% 3.63/3.83 [345]~P1(x3453)+E(f7(f7(x3451,x3452,x3453),x3454,x3453),f7(f7(x3451,x3454,x3453),x3452,x3453))
% 3.63/3.83 [346]~P1(x3463)+E(f5(f5(x3461,x3462,x3463),x3464,x3463),f5(f5(x3461,x3464,x3463),x3462,x3463))
% 3.63/3.83 [382]~P1(x3823)+E(f5(f7(x3821,x3822,x3823),f7(x3821,x3824,x3823),x3823),f7(x3821,f5(x3822,x3824,x3823),x3823))
% 3.63/3.83 [384]~P26(x3843)+E(f5(f7(x3841,x3842,x3843),f7(x3844,x3842,x3843),x3843),f7(f5(x3841,x3844,x3843),x3842,x3843))
% 3.63/3.83 [385]~P1(x3853)+E(f5(f7(x3851,x3852,x3853),f7(x3854,x3852,x3853),x3853),f7(f5(x3851,x3854,x3853),x3852,x3853))
% 3.63/3.83 [427]E(f12(f2(x4271,f5(x4272,f6(a1),a1)),f2(x4273,x4272),x4274),f2(f12(x4271,x4273,x4274),x4272))+~P4(x4274,f5(x4272,f6(a1),a1),a1)
% 3.63/3.83 [422]~P4(x4222,f5(x4224,f6(a1),a1),a1)+E(f12(f2(x4221,x4222),f2(x4223,x4222),f5(x4224,f6(a1),a1)),f2(f12(x4221,x4223,x4224),x4222))
% 3.63/3.83 [410]~P1(x4103)+E(f7(f7(x4101,x4102,x4103),f7(x4104,x4105,x4103),x4103),f7(f7(x4101,x4104,x4103),f7(x4102,x4105,x4103),x4103))
% 3.63/3.83 [411]~P1(x4113)+E(f5(f5(x4111,x4112,x4113),f5(x4114,x4115,x4113),x4113),f5(f5(x4111,x4114,x4113),f5(x4112,x4115,x4113),x4113))
% 3.63/3.83 [434]E(f12(f12(x4341,f2(x4342,x4343),f5(x4344,f6(a1),a1)),f12(x4345,x4342,x4344),x4343),f12(f12(x4341,x4345,x4343),x4342,x4344))+~P4(x4343,f5(x4344,f6(a1),a1),a1)
% 3.63/3.83 [430]~P37(x4303)+E(f5(f7(x4301,x4302,x4303),f5(f7(x4304,x4302,x4303),x4305,x4303),x4303),f5(f7(f5(x4301,x4304,x4303),x4302,x4303),x4305,x4303))
% 3.63/3.83 [436]~P39(x4363)+E(f5(f7(x4361,x4362,x4363),f5(f7(f3(x4364,x4361,x4363),x4362,x4363),x4365,x4363),x4363),f5(f7(x4364,x4362,x4363),x4365,x4363))
% 3.63/3.83 [235]E(x2351,x2352)+P4(x2352,x2351,a1)+P4(x2351,x2352,a1)
% 3.63/3.83 [214]~P31(x2142)+~P6(x2142)+E(f3(x2141,x2141,x2142),f4(x2142))
% 3.63/3.83 [230]~P18(x2302)+~E(f5(x2301,x2301,x2302),f4(x2302))+E(x2301,f4(x2302))
% 3.63/3.83 [260]E(x2601,x2602)+~E(f3(x2602,x2601,a1),f4(a1))+~E(f3(x2601,x2602,a1),f4(a1))
% 3.63/3.83 [273]~P28(x2731)+P4(f4(x2731),f14(x2732,x2731),x2731)+~P4(f4(a1),x2732,a1)
% 3.63/3.83 [280]~P28(x2802)+~P4(f4(x2802),f14(x2801,x2802),x2802)+P4(f4(a1),x2801,a1)
% 3.63/3.83 [313]~P18(x3131)+~P4(f4(x3131),x3132,x3131)+P4(f4(x3131),f5(x3132,x3132,x3131),x3131)
% 3.63/3.83 [314]~P33(x3142)+~P4(x3141,f4(x3142),x3142)+P4(f5(x3141,x3141,x3142),f4(x3142),x3142)
% 3.63/3.83 [315]~P18(x3152)+~P4(x3151,f4(x3152),x3152)+P4(f5(x3151,x3151,x3152),f4(x3152),x3152)
% 3.63/3.83 [348]~P33(x3482)+~P4(f5(x3481,x3481,x3482),f4(x3482),x3482)+P4(x3481,f4(x3482),x3482)
% 3.63/3.83 [349]~P18(x3492)+~P4(f5(x3491,x3491,x3492),f4(x3492),x3492)+P4(x3491,f4(x3492),x3492)
% 3.63/3.83 [350]~P18(x3501)+~P4(f4(x3501),f5(x3502,x3502,x3501),x3501)+P4(f4(x3501),x3502,x3501)
% 3.63/3.83 [351]P4(f3(x3511,x3512,a1),x3511,a1)+~P4(f4(a1),x3512,a1)+~P4(f4(a1),x3511,a1)
% 3.63/3.83 [364]P4(f4(a1),x3641,a1)+P4(f4(a1),x3642,a1)+~P4(f4(a1),f5(x3641,x3642,a1),a1)
% 3.63/3.83 [216]~P31(x2162)+~P6(x2162)+E(f5(x2161,f4(x2162),x2162),x2161)
% 3.63/3.83 [274]E(x2741,f4(a1))+E(x2742,f4(a1))+~E(f5(x2742,x2741,a1),f5(f4(a1),f6(a1),a1))
% 3.63/3.83 [275]E(x2751,f4(a1))+E(x2752,f4(a1))+~E(f5(f4(a1),f6(a1),a1),f5(x2752,x2751,a1))
% 3.63/3.83 [292]E(x2921,f4(a1))+E(x2921,f5(f4(a1),f6(a1),a1))+~E(f5(x2922,x2921,a1),f5(f4(a1),f6(a1),a1))
% 3.63/3.83 [293]E(x2931,f4(a1))+E(x2931,f5(f4(a1),f6(a1),a1))+~E(f5(x2931,x2932,a1),f5(f4(a1),f6(a1),a1))
% 3.63/3.83 [294]E(x2941,f4(a1))+E(x2941,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x2942,x2941,a1))
% 3.63/3.83 [295]E(x2951,f4(a1))+E(x2951,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x2951,x2952,a1))
% 3.63/3.83 [318]E(x3181,f5(f4(a1),f6(a1),a1))+E(x3182,f5(f4(a1),f6(a1),a1))+~E(f5(x3182,x3181,a1),f5(f4(a1),f6(a1),a1))
% 3.63/3.83 [319]E(x3191,f5(f4(a1),f6(a1),a1))+E(x3192,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x3192,x3191,a1))
% 3.63/3.83 [322]~P4(x3221,x3222,a1)+P4(f5(x3221,f6(a1),a1),x3222,a1)+E(f5(x3221,f6(a1),a1),x3222)
% 3.63/3.83 [325]E(x3251,x3252)+P4(x3252,x3251,a1)+~P4(x3252,f5(x3251,f6(a1),a1),a1)
% 3.63/3.83 [327]E(x3271,x3272)+P4(x3271,x3272,a1)+~P4(x3271,f5(x3272,f6(a1),a1),a1)
% 3.63/3.83 [263]~P4(x2633,x2632,x2631)+~P19(x2631)+~P4(x2632,x2633,x2631)
% 3.63/3.83 [264]~P4(x2643,x2642,x2641)+~P20(x2641)+~P4(x2642,x2643,x2641)
% 3.63/3.83 [266]~P4(x2663,x2662,x2661)+~P25(x2661)+~P4(x2662,x2663,x2661)
% 3.63/3.83 [185]~P2(x1853)+E(x1851,x1852)+~E(f14(x1851,x1853),f14(x1852,x1853))
% 3.63/3.83 [228]~P17(x2283)+E(x2281,x2282)+~E(f3(x2281,x2282,x2283),f4(x2283))
% 3.63/3.83 [229]~P10(x2293)+E(x2291,x2292)+~E(f3(x2291,x2292,x2293),f4(x2293))
% 3.63/3.83 [278]~P28(x2782)+~P4(x2781,x2783,a1)+P4(f14(x2781,x2782),f14(x2783,x2782),x2782)
% 3.63/3.83 [287]~P28(x2873)+~P4(f14(x2871,x2873),f14(x2872,x2873),x2873)+P4(x2871,x2872,a1)
% 3.63/3.83 [311]~P24(x3113)+~P4(x3111,x3112,x3113)+P4(f3(x3111,x3112,x3113),f4(x3113),x3113)
% 3.63/3.83 [330]~P24(x3303)+P4(x3301,x3302,x3303)+~P4(f3(x3301,x3302,x3303),f4(x3303),x3303)
% 3.63/3.83 [379]~P4(x3793,x3792,a1)+~P4(x3793,x3791,a1)+P4(f3(x3791,x3792,a1),f3(x3791,x3793,a1),a1)
% 3.63/3.83 [251]E(x2511,x2512)+P4(x2512,x2511,a1)+E(f12(f8(x2511),x2513,x2512),f8(x2511))
% 3.63/3.83 [347]~P4(x3471,x3473,a1)+~P4(x3473,x3472,a1)+P4(f5(x3471,f6(a1),a1),x3472,a1)
% 3.63/3.83 [386]~P34(x3862)+E(x3861,f4(x3862))+~E(f5(f7(x3863,x3863,x3862),f7(x3861,x3861,x3862),x3862),f4(x3862))
% 3.63/3.83 [387]~P34(x3872)+E(x3871,f4(x3872))+~E(f5(f7(x3871,x3871,x3872),f7(x3873,x3873,x3872),x3872),f4(x3872))
% 3.63/3.83 [423]~P34(x4232)+E(x4231,f4(x4232))+P4(f4(x4232),f5(f7(x4233,x4233,x4232),f7(x4231,x4231,x4232),x4232),x4232)
% 3.63/3.83 [424]~P34(x4242)+E(x4241,f4(x4242))+P4(f4(x4242),f5(f7(x4241,x4241,x4242),f7(x4243,x4243,x4242),x4242),x4242)
% 3.63/3.83 [267]~P10(x2674)+E(x2671,x2672)+~E(f3(x2673,x2673,x2674),f3(x2671,x2672,x2674))
% 3.63/3.83 [268]~P13(x2684)+E(x2681,x2682)+~E(f5(x2683,x2681,x2684),f5(x2683,x2682,x2684))
% 3.63/3.83 [269]~P14(x2694)+E(x2691,x2692)+~E(f5(x2693,x2691,x2694),f5(x2693,x2692,x2694))
% 3.63/3.83 [270]~P13(x2704)+E(x2701,x2702)+~E(f5(x2701,x2703,x2704),f5(x2702,x2703,x2704))
% 3.63/3.83 [271]~P10(x2713)+E(x2711,x2712)+~E(f3(x2711,x2712,x2713),f3(x2714,x2714,x2713))
% 3.63/3.83 [321]~P4(x3214,x3213,a1)+P4(x3211,x3212,a1)+~E(f5(x3211,x3213,a1),f5(x3214,x3212,a1))
% 3.63/3.83 [360]~P22(x3603)+~P4(x3601,x3604,x3603)+P4(f5(x3601,x3602,x3603),f5(x3604,x3602,x3603),x3603)
% 3.63/3.83 [361]~P23(x3613)+~P4(x3611,x3614,x3613)+P4(f5(x3611,x3612,x3613),f5(x3614,x3612,x3613),x3613)
% 3.63/3.83 [362]~P22(x3623)+~P4(x3622,x3624,x3623)+P4(f5(x3621,x3622,x3623),f5(x3621,x3624,x3623),x3623)
% 3.63/3.83 [363]~P23(x3633)+~P4(x3632,x3634,x3633)+P4(f5(x3631,x3632,x3633),f5(x3631,x3634,x3633),x3633)
% 3.63/3.83 [380]~P4(x3802,x3804,a1)+~P4(x3801,x3803,a1)+P4(f5(x3801,x3802,a1),f5(x3803,x3804,a1),a1)
% 3.63/3.83 [405]~P23(x4053)+P4(x4051,x4052,x4053)+~P4(f5(x4054,x4051,x4053),f5(x4054,x4052,x4053),x4053)
% 3.63/3.83 [406]~P23(x4063)+P4(x4061,x4062,x4063)+~P4(f5(x4061,x4064,x4063),f5(x4062,x4064,x4063),x4063)
% 3.63/3.83 [417]~P31(x4173)+~P6(x4173)+E(f5(f7(x4171,x4172,x4173),f7(x4171,x4174,x4173),x4173),f5(f7(x4171,x4174,x4173),f7(x4171,x4172,x4173),x4173))
% 3.63/3.83 [374]~P10(x3743)+E(f5(x3741,x3742,x3743),x3744)+~E(f5(x3741,f5(x3745,x3742,x3743),x3743),f5(x3745,x3744,x3743))
% 3.63/3.83 [431]~P39(x4314)+~E(f5(f7(x4313,x4315,x4314),x4311,x4314),f5(f7(x4312,x4315,x4314),x4316,x4314))+E(x4311,f5(f7(f3(x4312,x4313,x4314),x4315,x4314),x4316,x4314))
% 3.63/3.83 [432]~P39(x4323)+~E(f5(f7(x4321,x4324,x4323),x4325,x4323),f5(f7(x4322,x4324,x4323),x4326,x4323))+E(f5(f7(f3(x4321,x4322,x4323),x4324,x4323),x4325,x4323),x4326)
% 3.63/3.83 [438]~P40(x4384)+~P4(f5(f7(x4383,x4385,x4384),x4381,x4384),f5(f7(x4382,x4385,x4384),x4386,x4384),x4384)+P4(x4381,f5(f7(f3(x4382,x4383,x4384),x4385,x4384),x4386,x4384),x4384)
% 3.63/3.83 [439]~P40(x4393)+~P4(f5(f7(x4391,x4394,x4393),x4395,x4393),f5(f7(x4392,x4394,x4393),x4396,x4393),x4393)+P4(f5(f7(f3(x4391,x4392,x4393),x4394,x4393),x4395,x4393),x4396,x4393)
% 3.63/3.83 [440]~P40(x4403)+P4(f5(f7(x4401,x4402,x4403),x4404,x4403),f5(f7(x4405,x4402,x4403),x4406,x4403),x4403)+~P4(x4404,f5(f7(f3(x4405,x4401,x4403),x4402,x4403),x4406,x4403),x4403)
% 3.63/3.83 [441]~P40(x4413)+P4(f5(f7(x4411,x4412,x4413),x4414,x4413),f5(f7(x4415,x4412,x4413),x4416,x4413),x4413)+~P4(f5(f7(f3(x4411,x4415,x4413),x4412,x4413),x4414,x4413),x4416,x4413)
% 3.63/3.83 [246]P4(x2461,x2462,x2463)+~P33(x2463)+E(x2461,x2462)+P4(x2462,x2461,x2463)
% 3.63/3.83 [250]P4(x2501,x2502,x2503)+~P20(x2503)+E(x2501,x2502)+P4(x2502,x2501,x2503)
% 3.63/3.83 [231]~P31(x2312)+~P6(x2312)+~E(f5(x2313,x2311,x2312),x2313)+E(x2311,f4(x2312))
% 3.63/3.83 [233]~P31(x2333)+~P6(x2333)+E(x2331,x2332)+~E(f3(x2331,x2332,x2333),f4(x2333))
% 3.63/3.83 [237]~P29(x2372)+~E(f7(x2373,x2371,x2372),f4(x2372))+E(x2371,f4(x2372))+E(x2373,f4(x2372))
% 3.63/3.83 [238]~P38(x2382)+~E(f7(x2383,x2381,x2382),f4(x2382))+E(x2381,f4(x2382))+E(x2383,f4(x2382))
% 3.63/3.83 [365]~P34(x3651)+~P4(x3653,f4(x3651),x3651)+~P4(x3652,f4(x3651),x3651)+P4(f4(x3651),f7(x3652,x3653,x3651),x3651)
% 3.63/3.83 [366]~P35(x3661)+~P4(f4(x3661),x3663,x3661)+~P4(f4(x3661),x3662,x3661)+P4(f4(x3661),f7(x3662,x3663,x3661),x3661)
% 3.63/3.83 [367]~P21(x3671)+~P4(f4(x3671),x3673,x3671)+~P4(f4(x3671),x3672,x3671)+P4(f4(x3671),f5(x3672,x3673,x3671),x3671)
% 3.63/3.83 [368]~P28(x3681)+~P4(f6(x3681),x3683,x3681)+~P4(f6(x3681),x3682,x3681)+P4(f6(x3681),f7(x3682,x3683,x3681),x3681)
% 3.63/3.83 [369]~P21(x3693)+~P4(x3692,f4(x3693),x3693)+~P4(x3691,f4(x3693),x3693)+P4(f5(x3691,x3692,x3693),f4(x3693),x3693)
% 3.63/3.83 [370]~P35(x3703)+~P4(x3702,f4(x3703),x3703)+~P4(f4(x3703),x3701,x3703)+P4(f7(x3701,x3702,x3703),f4(x3703),x3703)
% 3.63/3.83 [372]~P35(x3723)+~P4(x3721,f4(x3723),x3723)+~P4(f4(x3723),x3722,x3723)+P4(f7(x3721,x3722,x3723),f4(x3723),x3723)
% 3.63/3.83 [377]~P35(x3771)+~P4(f4(x3771),f7(x3773,x3772,x3771),x3771)+P4(f4(x3771),x3772,x3771)+~P4(f4(x3771),x3773,x3771)
% 3.63/3.83 [378]~P35(x3781)+~P4(f4(x3781),f7(x3782,x3783,x3781),x3781)+P4(f4(x3781),x3782,x3781)+~P4(f4(x3781),x3783,x3781)
% 3.63/3.83 [290]~P19(x2903)+~P4(x2901,x2904,x2903)+P4(x2901,x2902,x2903)+~P4(x2904,x2902,x2903)
% 3.63/3.83 [291]~P25(x2913)+~P4(x2911,x2914,x2913)+P4(x2911,x2912,x2913)+~P4(x2914,x2912,x2913)
% 3.63/3.83 [277]~P31(x2774)+~P6(x2774)+E(x2771,x2772)+~E(f5(x2773,x2771,x2774),f5(x2773,x2772,x2774))
% 3.63/3.83 [357]~P28(x3574)+~P4(x3571,x3573,x3574)+~P4(f4(x3574),x3572,x3574)+P4(x3571,f5(x3572,x3573,x3574),x3574)
% 3.63/3.83 [391]~P34(x3913)+~P4(x3914,x3911,x3913)+~P4(x3912,f4(x3913),x3913)+P4(f7(x3911,x3912,x3913),f7(x3914,x3912,x3913),x3913)
% 3.63/3.83 [394]~P34(x3943)+~P4(x3944,x3942,x3943)+~P4(x3941,f4(x3943),x3943)+P4(f7(x3941,x3942,x3943),f7(x3941,x3944,x3943),x3943)
% 3.63/3.83 [395]~P34(x3953)+~P4(x3951,x3954,x3953)+~P4(f4(x3953),x3952,x3953)+P4(f7(x3951,x3952,x3953),f7(x3954,x3952,x3953),x3953)
% 3.63/3.83 [396]~P35(x3963)+~P4(x3961,x3964,x3963)+~P4(f4(x3963),x3962,x3963)+P4(f7(x3961,x3962,x3963),f7(x3964,x3962,x3963),x3963)
% 3.63/3.83 [398]~P34(x3983)+~P4(x3982,x3984,x3983)+~P4(f4(x3983),x3981,x3983)+P4(f7(x3981,x3982,x3983),f7(x3981,x3984,x3983),x3983)
% 3.63/3.83 [399]~P35(x3993)+~P4(x3992,x3994,x3993)+~P4(f4(x3993),x3991,x3993)+P4(f7(x3991,x3992,x3993),f7(x3991,x3994,x3993),x3993)
% 3.63/3.83 [400]~P32(x4003)+~P4(x4002,x4004,x4003)+~P4(f4(x4003),x4001,x4003)+P4(f7(x4001,x4002,x4003),f7(x4001,x4004,x4003),x4003)
% 3.63/3.83 [408]P4(x4082,x4081,x4083)+~P34(x4083)+P4(x4081,x4082,x4083)+~P4(f7(x4084,x4081,x4083),f7(x4084,x4082,x4083),x4083)
% 3.63/3.83 [409]P4(x4092,x4091,x4093)+~P34(x4093)+P4(x4091,x4092,x4093)+~P4(f7(x4091,x4094,x4093),f7(x4092,x4094,x4093),x4093)
% 3.63/3.83 [412]~P34(x4123)+P4(x4121,x4122,x4123)+~P4(f7(x4121,x4124,x4123),f7(x4122,x4124,x4123),x4123)+P4(x4124,f4(x4123),x4123)
% 3.63/3.83 [413]~P34(x4133)+P4(x4131,x4132,x4133)+~P4(f7(x4134,x4131,x4133),f7(x4134,x4132,x4133),x4133)+P4(x4134,f4(x4133),x4133)
% 3.63/3.83 [414]~P34(x4143)+P4(x4141,x4142,x4143)+~P4(f7(x4144,x4142,x4143),f7(x4144,x4141,x4143),x4143)+P4(f4(x4143),x4144,x4143)
% 3.63/3.83 [415]~P34(x4153)+P4(x4151,x4152,x4153)+~P4(f7(x4152,x4154,x4153),f7(x4151,x4154,x4153),x4153)+P4(f4(x4153),x4154,x4153)
% 3.63/3.83 [418]~P34(x4182)+~P4(f7(x4183,x4181,x4182),f7(x4184,x4181,x4182),x4182)+P4(x4181,f4(x4182),x4182)+P4(f4(x4182),x4181,x4182)
% 3.63/3.83 [419]~P34(x4192)+~P4(f7(x4191,x4193,x4192),f7(x4191,x4194,x4192),x4192)+P4(x4191,f4(x4192),x4192)+P4(f4(x4192),x4191,x4192)
% 3.63/3.83 [420]~P34(x4203)+P4(x4201,x4202,x4203)+~P4(f7(x4204,x4202,x4203),f7(x4204,x4201,x4203),x4203)+~P4(x4204,f4(x4203),x4203)
% 3.63/3.83 [421]~P34(x4213)+P4(x4211,x4212,x4213)+~P4(f7(x4214,x4211,x4213),f7(x4214,x4212,x4213),x4213)+~P4(f4(x4213),x4214,x4213)
% 3.63/3.83 [328]~P24(x3283)+~P4(x3284,x3285,x3283)+P4(x3281,x3282,x3283)+~E(f3(x3284,x3285,x3283),f3(x3281,x3282,x3283))
% 3.63/3.83 [329]~P24(x3293)+~P4(x3294,x3295,x3293)+P4(x3291,x3292,x3293)+~E(f3(x3291,x3292,x3293),f3(x3294,x3295,x3293))
% 3.63/3.83 [389]~P22(x3893)+~P4(x3892,x3895,x3893)+~P4(x3891,x3894,x3893)+P4(f5(x3891,x3892,x3893),f5(x3894,x3895,x3893),x3893)
% 3.63/3.83 [407]~P31(x4074)+~P6(x4074)+E(x4071,x4072)+E(x4073,f4(x4074))+~E(f5(x4075,f7(x4073,x4071,x4074),x4074),f5(x4075,f7(x4073,x4072,x4074),x4074))
% 3.63/3.83 [429]~P31(x4295)+~P6(x4295)+E(x4291,x4292)+E(x4293,x4294)+~E(f5(f7(x4293,x4291,x4295),f7(x4294,x4292,x4295),x4295),f5(f7(x4293,x4292,x4295),f7(x4294,x4291,x4295),x4295))
% 3.63/3.83 %EqnAxiom
% 3.63/3.83 [1]E(x11,x11)
% 3.63/3.83 [2]E(x22,x21)+~E(x21,x22)
% 3.63/3.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.63/3.83 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 3.63/3.83 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 3.63/3.83 [6]~E(x61,x62)+E(f3(x61,x63,x64),f3(x62,x63,x64))
% 3.63/3.83 [7]~E(x71,x72)+E(f3(x73,x71,x74),f3(x73,x72,x74))
% 3.63/3.83 [8]~E(x81,x82)+E(f3(x83,x84,x81),f3(x83,x84,x82))
% 3.63/3.83 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 3.63/3.83 [10]~E(x101,x102)+E(f6(x101),f6(x102))
% 3.63/3.83 [11]~E(x111,x112)+E(f5(x111,x113,x114),f5(x112,x113,x114))
% 3.63/3.83 [12]~E(x121,x122)+E(f5(x123,x121,x124),f5(x123,x122,x124))
% 3.63/3.83 [13]~E(x131,x132)+E(f5(x133,x134,x131),f5(x133,x134,x132))
% 3.63/3.83 [14]~E(x141,x142)+E(f7(x141,x143,x144),f7(x142,x143,x144))
% 3.63/3.83 [15]~E(x151,x152)+E(f7(x153,x151,x154),f7(x153,x152,x154))
% 3.63/3.83 [16]~E(x161,x162)+E(f7(x163,x164,x161),f7(x163,x164,x162))
% 3.63/3.83 [17]~E(x171,x172)+E(f13(x171,x173),f13(x172,x173))
% 3.63/3.83 [18]~E(x181,x182)+E(f13(x183,x181),f13(x183,x182))
% 3.63/3.83 [19]~E(x191,x192)+E(f12(x191,x193,x194),f12(x192,x193,x194))
% 3.63/3.83 [20]~E(x201,x202)+E(f12(x203,x201,x204),f12(x203,x202,x204))
% 3.63/3.83 [21]~E(x211,x212)+E(f12(x213,x214,x211),f12(x213,x214,x212))
% 3.63/3.83 [22]~E(x221,x222)+E(f10(x221),f10(x222))
% 3.63/3.83 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 3.63/3.83 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 3.63/3.83 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 3.63/3.83 [26]~E(x261,x262)+E(f11(x261,x263,x264),f11(x262,x263,x264))
% 3.63/3.83 [27]~E(x271,x272)+E(f11(x273,x271,x274),f11(x273,x272,x274))
% 3.63/3.83 [28]~E(x281,x282)+E(f11(x283,x284,x281),f11(x283,x284,x282))
% 3.63/3.83 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 3.63/3.83 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 3.63/3.83 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 3.63/3.83 [32]~P27(x321)+P27(x322)+~E(x321,x322)
% 3.63/3.83 [33]~P28(x331)+P28(x332)+~E(x331,x332)
% 3.63/3.83 [34]~P35(x341)+P35(x342)+~E(x341,x342)
% 3.63/3.83 [35]~P29(x351)+P29(x352)+~E(x351,x352)
% 3.63/3.83 [36]~P2(x361)+P2(x362)+~E(x361,x362)
% 3.63/3.83 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 3.63/3.83 [38]~P15(x381)+P15(x382)+~E(x381,x382)
% 3.63/3.83 [39]~P30(x391)+P30(x392)+~E(x391,x392)
% 3.63/3.83 [40]~P19(x401)+P19(x402)+~E(x401,x402)
% 3.63/3.83 [41]~P20(x411)+P20(x412)+~E(x411,x412)
% 3.63/3.83 [42]~P25(x421)+P25(x422)+~E(x421,x422)
% 3.63/3.83 [43]~P21(x431)+P21(x432)+~E(x431,x432)
% 3.63/3.83 [44]~P22(x441)+P22(x442)+~E(x441,x442)
% 3.63/3.83 [45]~P23(x451)+P23(x452)+~E(x451,x452)
% 3.63/3.83 [46]~P8(x461)+P8(x462)+~E(x461,x462)
% 3.63/3.83 [47]~P26(x471)+P26(x472)+~E(x471,x472)
% 3.63/3.83 [48]~P36(x481)+P36(x482)+~E(x481,x482)
% 3.63/3.83 [49]~P37(x491)+P37(x492)+~E(x491,x492)
% 3.63/3.83 [50]~P32(x501)+P32(x502)+~E(x501,x502)
% 3.63/3.83 [51]~P12(x511)+P12(x512)+~E(x511,x512)
% 3.63/3.83 [52]~P16(x521)+P16(x522)+~E(x521,x522)
% 3.63/3.83 [53]~P13(x531)+P13(x532)+~E(x531,x532)
% 3.63/3.83 [54]~P14(x541)+P14(x542)+~E(x541,x542)
% 3.63/3.83 [55]~P9(x551)+P9(x552)+~E(x551,x552)
% 3.63/3.83 [56]~P3(x561)+P3(x562)+~E(x561,x562)
% 3.63/3.83 [57]P4(x572,x573,x574)+~E(x571,x572)+~P4(x571,x573,x574)
% 3.63/3.83 [58]P4(x583,x582,x584)+~E(x581,x582)+~P4(x583,x581,x584)
% 3.63/3.83 [59]P4(x593,x594,x592)+~E(x591,x592)+~P4(x593,x594,x591)
% 3.63/3.83 [60]~P34(x601)+P34(x602)+~E(x601,x602)
% 3.63/3.83 [61]~P6(x611)+P6(x612)+~E(x611,x612)
% 3.63/3.83 [62]P5(x622,x623)+~E(x621,x622)+~P5(x621,x623)
% 3.63/3.83 [63]P5(x633,x632)+~E(x631,x632)+~P5(x633,x631)
% 3.63/3.83 [64]~P33(x641)+P33(x642)+~E(x641,x642)
% 3.63/3.83 [65]~P17(x651)+P17(x652)+~E(x651,x652)
% 3.63/3.83 [66]~P24(x661)+P24(x662)+~E(x661,x662)
% 3.63/3.83 [67]~P40(x671)+P40(x672)+~E(x671,x672)
% 3.63/3.83 [68]~P10(x681)+P10(x682)+~E(x681,x682)
% 3.63/3.83 [69]~P38(x691)+P38(x692)+~E(x691,x692)
% 3.63/3.83 [70]~P31(x701)+P31(x702)+~E(x701,x702)
% 3.63/3.83 [71]~P18(x711)+P18(x712)+~E(x711,x712)
% 3.63/3.83 [72]~P39(x721)+P39(x722)+~E(x721,x722)
% 3.63/3.83 [73]~P11(x731)+P11(x732)+~E(x731,x732)
% 3.63/3.83
% 3.63/3.83 %-------------------------------------------
% 3.63/3.84 cnf(442,plain,
% 3.63/3.84 (E(f4(a1),f3(x4421,x4421,a1))),
% 3.63/3.84 inference(scs_inference,[],[101,2])).
% 3.63/3.84 cnf(443,plain,
% 3.63/3.84 (~P4(x4431,f3(x4431,x4432,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[101,130,2,352])).
% 3.63/3.84 cnf(445,plain,
% 3.63/3.84 (P4(x4451,f5(f5(x4452,f5(x4451,x4453,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[101,146,130,2,352,320])).
% 3.63/3.84 cnf(446,plain,
% 3.63/3.84 (P4(x4461,f5(f5(x4462,x4461,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(448,plain,
% 3.63/3.84 (~P4(x4481,f3(f3(x4481,x4482,a1),x4483,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[101,146,130,2,352,320,300])).
% 3.63/3.84 cnf(450,plain,
% 3.63/3.84 (~P4(f5(x4501,f5(x4502,x4503,a1),a1),x4502,a1)),
% 3.63/3.84 inference(scs_inference,[],[173,101,146,130,2,352,320,300,299])).
% 3.63/3.84 cnf(451,plain,
% 3.63/3.84 (~P4(f5(x4511,x4512,a1),x4512,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(453,plain,
% 3.63/3.84 (~P4(f5(x4531,f5(x4532,x4533,a1),a1),x4533,a1)),
% 3.63/3.84 inference(scs_inference,[],[173,451,101,146,130,2,352,320,300,299,297])).
% 3.63/3.84 cnf(454,plain,
% 3.63/3.84 (~P4(f5(x4541,x4542,a1),x4542,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(456,plain,
% 3.63/3.84 (P4(x4561,f5(x4562,f5(x4561,f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[173,451,454,101,146,130,2,352,320,300,299,297,282])).
% 3.63/3.84 cnf(459,plain,
% 3.63/3.84 (~E(f5(x4591,f5(f4(a1),f6(a1),a1),a1),x4591)),
% 3.63/3.84 inference(scs_inference,[],[173,451,454,101,167,146,130,2,352,320,300,299,297,282,219])).
% 3.63/3.84 cnf(460,plain,
% 3.63/3.84 (~E(f5(x4601,f6(a1),a1),x4601)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(463,plain,
% 3.63/3.84 (P4(x4631,f5(f5(x4631,x4632,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(465,plain,
% 3.63/3.84 (~P4(f5(f5(x4651,x4652,a1),x4653,a1),x4652,a1)),
% 3.63/3.84 inference(scs_inference,[],[173,451,454,101,167,146,148,130,2,352,320,300,299,297,282,219,404,356])).
% 3.63/3.84 cnf(468,plain,
% 3.63/3.84 (~E(f5(x4681,f6(a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[171])).
% 3.63/3.84 cnf(470,plain,
% 3.63/3.84 (~P4(x4701,f3(f4(a1),x4702,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[173,451,454,101,167,146,148,130,171,2,352,320,300,299,297,282,219,404,356,259,301])).
% 3.63/3.84 cnf(475,plain,
% 3.63/3.84 (~E(f10(x4751),f8(x4752))),
% 3.63/3.84 inference(rename_variables,[],[155])).
% 3.63/3.84 cnf(477,plain,
% 3.63/3.84 (~P4(x4771,f3(f5(x4771,x4772,a1),x4772,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,160,173,451,454,155,101,167,146,148,130,171,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376])).
% 3.63/3.84 cnf(478,plain,
% 3.63/3.84 (~P4(x4781,x4781,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(480,plain,
% 3.63/3.84 (~P4(f5(f3(x4801,x4802,a1),x4802,a1),x4801,a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,160,173,451,454,155,101,167,146,148,130,171,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375])).
% 3.63/3.84 cnf(481,plain,
% 3.63/3.84 (~P4(x4811,x4811,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(487,plain,
% 3.63/3.84 (~P17(f12(f8(x4871),a1,x4871))),
% 3.63/3.84 inference(scs_inference,[],[163,478,160,173,451,454,155,101,108,119,167,146,148,130,171,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65])).
% 3.63/3.84 cnf(488,plain,
% 3.63/3.84 (E(f12(f8(x4881),x4882,x4881),x4882)),
% 3.63/3.84 inference(rename_variables,[],[108])).
% 3.63/3.84 cnf(489,plain,
% 3.63/3.84 (P5(f9(f10(f8(f4(a1))),x4891),x4891)),
% 3.63/3.84 inference(scs_inference,[],[163,478,160,173,451,454,155,101,108,488,119,167,146,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63])).
% 3.63/3.84 cnf(490,plain,
% 3.63/3.84 (~E(f5(f5(x4901,x4902,a1),f6(a1),a1),x4902)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,160,173,451,454,155,101,108,488,119,167,146,446,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58])).
% 3.63/3.84 cnf(491,plain,
% 3.63/3.84 (P4(x4911,f5(f5(x4912,x4911,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(492,plain,
% 3.63/3.84 (~E(x4921,f5(x4921,f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,160,173,451,454,155,101,108,488,119,167,146,446,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57])).
% 3.63/3.84 cnf(493,plain,
% 3.63/3.84 (~P4(x4931,x4931,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(495,plain,
% 3.63/3.84 (E(f12(f8(x4951),x4952,x4951),x4952)),
% 3.63/3.84 inference(rename_variables,[],[108])).
% 3.63/3.84 cnf(496,plain,
% 3.63/3.84 (~E(f5(f5(x4961,x4962,a1),f6(a1),a1),f5(x4962,x4961,a1))),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,161,160,173,451,454,155,112,101,108,488,119,167,460,146,446,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3])).
% 3.63/3.84 cnf(497,plain,
% 3.63/3.84 (~E(f5(x4971,f6(a1),a1),x4971)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(499,plain,
% 3.63/3.84 (~P4(x4991,f4(a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[165])).
% 3.63/3.84 cnf(502,plain,
% 3.63/3.84 (P4(x5021,f5(x5021,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(504,plain,
% 3.63/3.84 (P4(f4(a1),f6(a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,165,161,160,173,451,454,155,112,101,108,488,119,502,167,460,146,446,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364])).
% 3.63/3.84 cnf(505,plain,
% 3.63/3.84 (P4(x5051,f5(x5051,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(506,plain,
% 3.63/3.84 (~P4(x5061,x5061,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(509,plain,
% 3.63/3.84 (~P4(x5091,x5091,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(512,plain,
% 3.63/3.84 (P4(x5121,f5(x5121,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(515,plain,
% 3.63/3.84 (E(f5(x5151,x5152,a1),f5(x5152,x5151,a1))),
% 3.63/3.84 inference(rename_variables,[],[112])).
% 3.63/3.84 cnf(517,plain,
% 3.63/3.84 (~P4(f3(f5(x5171,f5(x5172,f6(a1),a1),a1),x5172,a1),x5171,a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,76,165,161,160,173,451,454,155,112,101,108,488,119,502,505,512,167,460,146,446,148,130,171,120,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380])).
% 3.63/3.84 cnf(525,plain,
% 3.63/3.84 (E(f3(x5251,f5(x5251,x5252,a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[117])).
% 3.63/3.84 cnf(527,plain,
% 3.63/3.84 (P4(x5271,f5(x5272,f5(f5(x5271,f6(a1),a1),x5273,a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,76,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,167,460,146,446,148,130,117,171,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406])).
% 3.63/3.84 cnf(529,plain,
% 3.63/3.84 (P4(x5291,f5(f5(f5(x5292,x5291,a1),f6(a1),a1),x5293,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,76,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,167,460,146,446,148,130,117,171,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405])).
% 3.63/3.84 cnf(532,plain,
% 3.63/3.84 (~P4(x5321,f4(a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[165])).
% 3.63/3.84 cnf(539,plain,
% 3.63/3.84 (P4(x5391,f5(f5(x5391,x5392,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(542,plain,
% 3.63/3.84 (P4(f3(x5421,x5422,a1),f5(x5421,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[130])).
% 3.63/3.84 cnf(543,plain,
% 3.63/3.84 (~P4(x5431,x5431,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(546,plain,
% 3.63/3.84 (P4(x5461,f5(x5461,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(548,plain,
% 3.63/3.84 (~P4(f5(f5(f5(f4(a1),f6(a1),a1),f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),x5481,a1),a1),x5482,a1),x5481,a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,509,76,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,115,167,460,146,446,148,463,130,117,525,171,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389])).
% 3.63/3.84 cnf(549,plain,
% 3.63/3.84 (P4(x5491,f5(x5491,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(552,plain,
% 3.63/3.84 (~P4(x5521,x5521,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(553,plain,
% 3.63/3.84 (P4(x5531,f5(x5531,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(556,plain,
% 3.63/3.84 (~P4(x5561,x5561,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(557,plain,
% 3.63/3.84 (P4(x5571,f5(x5571,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(559,plain,
% 3.63/3.84 (~E(f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,115,167,460,497,146,446,148,463,130,117,525,171,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237])).
% 3.63/3.84 cnf(561,plain,
% 3.63/3.84 (~E(f5(x5611,f6(a1),a1),x5611)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(563,plain,
% 3.63/3.84 (P4(f4(a1),f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,115,167,460,497,146,446,148,463,130,117,525,171,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186])).
% 3.63/3.84 cnf(565,plain,
% 3.63/3.84 (~P4(f5(x5651,f6(a1),a1),f5(f4(a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,115,167,460,497,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312])).
% 3.63/3.84 cnf(567,plain,
% 3.63/3.84 (P3(f10(a15))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,115,167,460,497,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177])).
% 3.63/3.84 cnf(570,plain,
% 3.63/3.84 (P4(x5701,f5(x5701,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(572,plain,
% 3.63/3.84 (P4(f3(f5(f4(a1),f6(a1),a1),f5(x5721,f6(a1),a1),a1),f5(f4(a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,557,570,115,167,460,497,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402])).
% 3.63/3.84 cnf(573,plain,
% 3.63/3.84 (P4(x5731,f5(x5731,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(576,plain,
% 3.63/3.84 (P4(x5761,f5(x5761,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(578,plain,
% 3.63/3.84 (~E(f5(f5(f4(a1),f6(a1),a1),x5781,a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,557,570,573,115,167,460,497,561,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224])).
% 3.63/3.84 cnf(579,plain,
% 3.63/3.84 (~E(f5(x5791,f6(a1),a1),x5791)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(581,plain,
% 3.63/3.84 (~E(f5(x5811,f5(f4(a1),f6(a1),a1),a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,161,160,173,451,454,155,112,101,108,488,119,502,505,512,546,549,553,557,570,573,115,167,460,497,561,579,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223])).
% 3.63/3.84 cnf(582,plain,
% 3.63/3.84 (~E(f5(x5821,f6(a1),a1),x5821)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(615,plain,
% 3.63/3.84 (P5(f12(f9(f10(f8(f4(a1))),f2(f10(a15),a16)),x6151,x6152),f12(f2(f10(a15),a16),x6151,x6152))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,76,77,78,83,85,87,88,165,499,532,161,160,173,451,454,155,112,515,101,108,488,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306])).
% 3.63/3.84 cnf(627,plain,
% 3.63/3.84 (P5(f2(f9(f10(f8(f4(a1))),f2(f10(a15),a16)),x6271),f2(f2(f10(a15),a16),x6271))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,74,76,77,78,83,85,87,88,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220])).
% 3.63/3.84 cnf(650,plain,
% 3.63/3.84 (~E(f5(x6501,f6(a1),a1),x6501)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(704,plain,
% 3.63/3.84 (~P5(f12(f8(x7041),f8(x7042),x7041),f13(f8(x7042),x7043))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,85,87,88,89,91,92,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62])).
% 3.63/3.84 cnf(706,plain,
% 3.63/3.84 (E(f12(f2(x7061,x7062),x7063,x7062),x7061)),
% 3.63/3.84 inference(rename_variables,[],[111])).
% 3.63/3.84 cnf(707,plain,
% 3.63/3.84 (~E(a1,x7071)+P9(x7071)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,146,446,148,463,130,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55])).
% 3.63/3.84 cnf(715,plain,
% 3.63/3.84 (P4(x7151,f5(x7151,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(718,plain,
% 3.63/3.84 (P4(f4(a1),f5(x7181,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[122])).
% 3.63/3.84 cnf(720,plain,
% 3.63/3.84 (~E(f5(f5(x7201,f6(a1),a1),f5(x7201,f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,146,446,491,148,463,539,130,542,122,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274])).
% 3.63/3.84 cnf(722,plain,
% 3.63/3.84 (~E(f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),x7221,a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,650,146,446,491,148,463,539,130,542,122,117,525,171,468,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293])).
% 3.63/3.84 cnf(723,plain,
% 3.63/3.84 (~E(f5(x7231,f6(a1),a1),x7231)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(724,plain,
% 3.63/3.84 (~E(f5(x7241,f6(a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[171])).
% 3.63/3.84 cnf(726,plain,
% 3.63/3.84 (~E(f5(x7261,f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,650,723,146,446,491,148,463,539,130,542,122,117,525,171,468,724,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292])).
% 3.63/3.84 cnf(727,plain,
% 3.63/3.84 (~E(f5(x7271,f6(a1),a1),x7271)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(728,plain,
% 3.63/3.84 (~E(f5(x7281,f6(a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[171])).
% 3.63/3.84 cnf(731,plain,
% 3.63/3.84 (~E(f5(x7311,f6(a1),a1),x7311)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(733,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),x7331,a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,650,723,727,731,146,446,491,148,463,539,130,542,122,117,525,171,468,724,728,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295])).
% 3.63/3.84 cnf(734,plain,
% 3.63/3.84 (~E(f5(x7341,f6(a1),a1),x7341)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(735,plain,
% 3.63/3.84 (~E(f5(x7351,f6(a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[171])).
% 3.63/3.84 cnf(737,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(x7371,f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,148,463,539,130,542,122,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294])).
% 3.63/3.84 cnf(749,plain,
% 3.63/3.84 (P4(f3(f5(x7491,f6(a1),a1),f5(x7491,f6(a1),a1),a1),f3(f5(x7491,f6(a1),a1),x7491,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,87,88,89,91,92,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,715,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,148,463,539,130,542,122,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379])).
% 3.63/3.84 cnf(757,plain,
% 3.63/3.84 (P4(f7(f5(f4(a1),f6(a1),a1),f4(a1),a1),f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,87,88,89,91,92,93,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,715,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,148,463,539,130,542,122,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379,363,251,250,400])).
% 3.63/3.84 cnf(758,plain,
% 3.63/3.84 (P4(x7581,f5(x7581,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(761,plain,
% 3.63/3.84 (P4(x7611,f5(f5(x7612,x7611,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(763,plain,
% 3.63/3.84 (P4(f7(f4(a1),f5(f4(a1),f6(a1),a1),a1),f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,87,88,89,91,92,93,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,119,502,505,512,546,549,553,557,570,573,576,715,758,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,148,463,539,130,542,122,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379,363,251,250,400,399,396])).
% 3.63/3.84 cnf(764,plain,
% 3.63/3.84 (P4(x7641,f5(x7641,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[119])).
% 3.63/3.84 cnf(772,plain,
% 3.63/3.84 (P4(x7721,f5(f5(x7722,x7721,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(774,plain,
% 3.63/3.84 (~P10(f12(f2(a1,x7741),x7742,x7741))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,91,92,93,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,706,119,502,505,512,546,549,553,557,570,573,576,715,758,764,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,761,148,463,539,130,542,122,718,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379,363,251,250,400,399,396,368,367,366,68])).
% 3.63/3.84 cnf(775,plain,
% 3.63/3.84 (~P24(f12(f2(a1,x7751),x7752,x7751))),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,91,92,93,98,165,499,532,161,160,173,451,454,155,475,112,515,101,108,488,495,111,706,119,502,505,512,546,549,553,557,570,573,576,715,758,764,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,761,148,463,539,130,542,122,718,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379,363,251,250,400,399,396,368,367,366,68,66])).
% 3.63/3.84 cnf(797,plain,
% 3.63/3.84 (E(f3(f3(f4(a1),x7971,a1),x7972,a1),f3(f4(a1),x7971,a1))+~P33(a1)+P4(f3(f3(f4(a1),x7971,a1),x7972,a1),f3(f4(a1),x7971,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[99,163,478,481,493,506,509,543,552,556,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,91,92,93,96,97,98,165,499,532,161,160,173,451,454,155,475,156,157,112,515,101,108,488,495,111,706,119,502,505,512,546,549,553,557,570,573,576,715,758,764,115,167,460,497,561,579,582,650,723,727,731,734,146,446,491,761,772,148,463,539,130,542,122,718,117,525,171,468,724,728,735,120,137,2,352,320,300,299,297,282,219,404,356,259,301,213,188,376,375,427,434,65,63,58,57,56,3,235,351,364,280,273,318,380,321,287,229,406,405,311,260,291,290,357,389,378,377,237,186,312,177,403,402,308,224,223,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,401,355,306,257,256,242,222,221,220,201,193,184,183,182,181,180,179,176,175,381,323,310,285,281,276,254,253,232,212,208,346,345,341,332,288,284,388,385,382,354,353,303,422,411,410,430,62,59,55,266,264,263,347,327,274,293,292,275,295,294,322,278,185,319,379,363,251,250,400,399,396,368,367,366,68,66,325,271,270,269,268,267,228,362,361,360,246])).
% 3.63/3.84 cnf(805,plain,
% 3.63/3.84 (~E(f5(f5(f4(a1),f5(f4(a1),f6(a1),a1),a1),f5(f4(a1),f5(f4(a1),f6(a1),a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[459,274])).
% 3.63/3.84 cnf(806,plain,
% 3.63/3.84 (~E(f5(x8061,f5(f4(a1),f6(a1),a1),a1),x8061)),
% 3.63/3.84 inference(rename_variables,[],[459])).
% 3.63/3.84 cnf(809,plain,
% 3.63/3.84 (~P4(x8091,x8091,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(811,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),x8111,a1))),
% 3.63/3.84 inference(scs_inference,[],[163,459,490,496,274,364,295])).
% 3.63/3.84 cnf(812,plain,
% 3.63/3.84 (~E(f5(f5(x8121,x8122,a1),f6(a1),a1),x8122)),
% 3.63/3.84 inference(rename_variables,[],[490])).
% 3.63/3.84 cnf(813,plain,
% 3.63/3.84 (~E(f5(f5(x8131,x8132,a1),f6(a1),a1),f5(x8132,x8131,a1))),
% 3.63/3.84 inference(rename_variables,[],[496])).
% 3.63/3.84 cnf(818,plain,
% 3.63/3.84 (P4(x8181,f5(f5(x8182,x8181,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(822,plain,
% 3.63/3.84 (~P4(f5(f5(x8221,x8222,a1),x8223,a1),x8221,a1)),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,79,86,146,76,563,459,490,496,274,364,295,185,368,367,320])).
% 3.63/3.84 cnf(824,plain,
% 3.63/3.84 (P4(x8241,f5(f5(f5(x8241,x8242,a1),f6(a1),a1),x8243,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,79,86,146,148,76,563,459,490,496,274,364,295,185,368,367,320,299])).
% 3.63/3.84 cnf(826,plain,
% 3.63/3.84 (P4(x8261,f5(x8262,f5(f5(x8263,x8261,a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,79,86,146,818,148,76,563,459,490,496,274,364,295,185,368,367,320,299,297])).
% 3.63/3.84 cnf(830,plain,
% 3.63/3.84 (~E(f5(f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),x8301,a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,79,86,146,818,148,76,563,459,490,812,496,813,477,274,364,295,185,368,367,320,299,297,282,293])).
% 3.63/3.84 cnf(831,plain,
% 3.63/3.84 (~E(f5(f5(x8311,x8312,a1),f6(a1),a1),x8312)),
% 3.63/3.84 inference(rename_variables,[],[490])).
% 3.63/3.84 cnf(832,plain,
% 3.63/3.84 (~E(f5(f5(x8321,x8322,a1),f6(a1),a1),f5(x8322,x8321,a1))),
% 3.63/3.84 inference(rename_variables,[],[496])).
% 3.63/3.84 cnf(839,plain,
% 3.63/3.84 (~P4(x8391,x8391,a1)),
% 3.63/3.84 inference(rename_variables,[],[163])).
% 3.63/3.84 cnf(842,plain,
% 3.63/3.84 (P4(x8421,f5(f5(x8421,x8422,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(844,plain,
% 3.63/3.84 (~P4(f3(f5(x8441,x8442,a1),x8442,a1),x8441,a1)),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,809,79,86,146,818,148,84,77,76,504,563,459,757,490,812,496,813,477,480,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355])).
% 3.63/3.84 cnf(848,plain,
% 3.63/3.84 (~E(f5(x8481,f5(f4(a1),f6(a1),a1),a1),x8481)),
% 3.63/3.84 inference(rename_variables,[],[459])).
% 3.63/3.84 cnf(849,plain,
% 3.63/3.84 (~P4(f5(x8491,x8492,a1),x8491,a1)),
% 3.63/3.84 inference(rename_variables,[],[174])).
% 3.63/3.84 cnf(852,plain,
% 3.63/3.84 (P4(f3(x8521,x8522,a1),f5(x8521,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[130])).
% 3.63/3.84 cnf(855,plain,
% 3.63/3.84 (E(f3(f5(f4(a1),f6(a1),a1),f5(x8551,f6(a1),a1),a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[158,174,163,809,79,86,146,818,148,130,84,77,76,504,563,459,806,757,490,812,496,813,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312])).
% 3.63/3.84 cnf(857,plain,
% 3.63/3.84 (~E(f5(f5(x8571,x8572,a1),f5(f5(x8573,f4(a1),a1),f6(a1),a1),a1),f5(f4(a1),x8571,a1))),
% 3.63/3.84 inference(scs_inference,[],[158,174,849,163,809,79,86,146,818,148,130,84,77,76,504,563,459,806,757,490,812,496,813,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321])).
% 3.63/3.84 cnf(858,plain,
% 3.63/3.84 (P4(x8581,f5(f5(x8582,x8581,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(862,plain,
% 3.63/3.84 (~P4(x8621,f4(a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[165])).
% 3.63/3.84 cnf(866,plain,
% 3.63/3.84 (~E(f6(a1),f5(f5(f4(a1),f6(a1),a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[158,174,849,163,809,79,86,165,146,818,858,148,130,852,84,77,76,504,563,459,806,737,757,490,812,496,813,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12])).
% 3.63/3.84 cnf(868,plain,
% 3.63/3.84 (P4(f5(f4(a1),f6(a1),a1),f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,174,849,163,809,79,86,165,146,818,858,148,130,852,84,77,76,504,563,459,806,737,757,490,812,496,813,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281])).
% 3.63/3.84 cnf(871,plain,
% 3.63/3.84 (E(f11(f4(a1),x8711,x8712),x8711)),
% 3.63/3.84 inference(rename_variables,[],[106])).
% 3.63/3.84 cnf(873,plain,
% 3.63/3.84 (~P4(f5(x8731,x8732,a1),x8731,a1)),
% 3.63/3.84 inference(rename_variables,[],[174])).
% 3.63/3.84 cnf(876,plain,
% 3.63/3.84 (P4(x8761,f5(f5(x8762,x8761,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(879,plain,
% 3.63/3.84 (~E(f5(x8791,f5(f4(a1),f6(a1),a1),a1),x8791)),
% 3.63/3.84 inference(rename_variables,[],[459])).
% 3.63/3.84 cnf(881,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(x8811,f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[158,106,174,849,163,809,79,86,165,146,818,858,148,130,852,84,77,76,504,774,563,459,806,848,737,757,490,812,831,496,813,832,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294])).
% 3.63/3.84 cnf(882,plain,
% 3.63/3.84 (~E(f5(f5(x8821,x8822,a1),f6(a1),a1),x8822)),
% 3.63/3.84 inference(rename_variables,[],[490])).
% 3.63/3.84 cnf(883,plain,
% 3.63/3.84 (~E(f5(f5(x8831,x8832,a1),f6(a1),a1),f5(x8832,x8831,a1))),
% 3.63/3.84 inference(rename_variables,[],[496])).
% 3.63/3.84 cnf(885,plain,
% 3.63/3.84 (~E(f3(f5(f4(a1),f6(a1),a1),f4(a1),a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[158,106,107,174,849,163,809,79,86,165,146,818,858,148,130,852,84,77,76,504,774,563,459,806,848,737,757,492,490,812,831,496,813,832,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260])).
% 3.63/3.84 cnf(890,plain,
% 3.63/3.84 (P4(f4(a1),f3(f5(f5(x8901,x8902,a1),f6(a1),a1),x8902,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,106,107,174,849,163,809,79,86,165,155,146,818,858,876,148,130,852,84,77,76,504,774,563,459,806,848,737,757,492,490,812,831,496,813,832,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301])).
% 3.63/3.84 cnf(893,plain,
% 3.63/3.84 (P4(x8931,f5(f5(x8932,x8931,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(895,plain,
% 3.63/3.84 (~P4(f5(x8951,x8952,a1),x8951,f11(f4(a1),a1,x8953))),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,107,174,849,873,163,809,79,86,165,155,146,818,858,876,148,130,852,84,77,76,504,774,563,459,806,848,737,757,492,490,812,831,496,813,832,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59])).
% 3.63/3.84 cnf(896,plain,
% 3.63/3.84 (E(f11(f4(a1),x8961,x8962),x8961)),
% 3.63/3.84 inference(rename_variables,[],[106])).
% 3.63/3.84 cnf(897,plain,
% 3.63/3.84 (~E(f5(x8971,f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,107,174,849,873,163,809,79,86,165,155,146,818,858,876,148,130,852,84,77,76,504,774,563,459,806,848,737,757,492,490,812,831,882,496,813,832,883,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292])).
% 3.63/3.84 cnf(901,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(f5(x9011,f6(a1),a1),f5(x9011,f6(a1),a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,107,174,849,873,163,809,79,86,165,155,146,818,858,876,148,171,130,852,84,77,76,504,774,563,459,806,848,737,757,492,490,812,831,882,496,813,832,883,763,477,480,572,565,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292,275])).
% 3.63/3.84 cnf(911,plain,
% 3.63/3.84 (P4(f5(f3(f5(x9111,f6(a1),a1),f5(x9111,f6(a1),a1),a1),x9111,a1),f5(x9111,f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,107,174,849,873,163,809,79,86,165,155,146,818,858,876,148,842,171,130,852,84,77,76,504,774,563,459,806,848,737,733,726,757,492,490,812,831,882,496,813,832,883,763,477,480,572,565,749,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292,275,319,11,404,356,376])).
% 3.63/3.84 cnf(914,plain,
% 3.63/3.84 (E(f11(f4(a1),x9141,x9142),x9141)),
% 3.63/3.84 inference(rename_variables,[],[106])).
% 3.63/3.84 cnf(938,plain,
% 3.63/3.84 (~P4(f5(f5(x9381,f5(x9382,x9383,a1),a1),f6(a1),a1),f5(f5(x9382,x9383,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,896,107,174,849,873,163,809,839,79,86,165,862,155,146,818,858,876,893,148,842,171,130,852,83,84,85,88,77,76,504,774,563,459,806,848,737,733,726,757,492,490,812,831,882,496,813,832,883,763,477,480,548,527,456,572,529,565,749,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292,275,319,11,404,356,376,58,266,263,235,405,291,378,406,361,357,352])).
% 3.63/3.84 cnf(939,plain,
% 3.63/3.84 (P4(x9391,f5(f5(x9392,x9391,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(945,plain,
% 3.63/3.84 (~P4(f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),f5(f5(f5(f4(a1),f6(a1),a1),x9451,a1),x9452,a1),a1),x9451,a1)),
% 3.63/3.84 inference(scs_inference,[],[158,106,871,896,107,174,849,873,163,809,839,79,86,165,862,155,146,818,858,876,893,939,148,842,171,122,130,852,83,84,85,87,88,77,76,504,774,563,459,806,848,737,733,726,757,492,490,812,831,882,496,813,832,883,763,477,480,548,527,456,572,529,565,749,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292,275,319,11,404,356,376,58,266,263,235,405,291,378,406,361,357,352,300,363,362])).
% 3.63/3.84 cnf(948,plain,
% 3.63/3.84 (E(f11(f4(a1),x9481,x9482),x9481)),
% 3.63/3.84 inference(rename_variables,[],[106])).
% 3.63/3.84 cnf(951,plain,
% 3.63/3.84 (E(f3(f5(x9511,x9512,a1),x9511,a1),x9512)),
% 3.63/3.84 inference(rename_variables,[],[116])).
% 3.63/3.84 cnf(956,plain,
% 3.63/3.84 (E(f3(f5(x9561,x9562,a1),x9561,a1),x9562)),
% 3.63/3.84 inference(rename_variables,[],[116])).
% 3.63/3.84 cnf(970,plain,
% 3.63/3.84 (~P4(f5(f5(f5(x9701,x9702,a1),x9703,a1),f6(a1),a1),x9701,a1)),
% 3.63/3.84 inference(scs_inference,[],[99,158,106,871,896,914,948,116,951,956,107,133,174,849,873,163,809,839,79,86,93,165,862,161,155,146,818,858,876,893,939,148,842,171,97,122,160,130,852,83,84,85,87,88,77,76,704,504,774,775,563,459,806,848,879,737,733,726,757,492,490,812,831,882,487,496,813,832,883,763,477,480,453,548,527,456,572,529,565,749,274,364,295,185,368,367,320,299,297,282,293,396,264,377,366,355,327,322,312,321,325,380,12,281,68,347,351,318,294,260,2,301,375,59,292,275,319,11,404,356,376,58,266,263,235,405,291,378,406,361,357,352,300,363,362,66,63,57,56,3,62,54,250,399,323,65,400,290])).
% 3.63/3.84 cnf(1003,plain,
% 3.63/3.84 (~P4(f5(x10031,x10032,a1),x10032,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(1005,plain,
% 3.63/3.84 (P4(x10051,f5(f5(f5(x10051,x10052,a1),x10053,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[173,148,866,251,320])).
% 3.63/3.84 cnf(1006,plain,
% 3.63/3.84 (P4(x10061,f5(f5(x10061,x10062,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(1011,plain,
% 3.63/3.84 (~P4(f3(f5(x10111,x10112,a1),x10112,a1),x10111,a1)),
% 3.63/3.84 inference(rename_variables,[],[844])).
% 3.63/3.84 cnf(1013,plain,
% 3.63/3.84 (~P4(f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[443,173,148,866,559,844,251,320,323,299,312])).
% 3.63/3.84 cnf(1016,plain,
% 3.63/3.84 (~P4(f5(x10161,x10162,a1),x10162,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(1017,plain,
% 3.63/3.84 (~E(f5(f4(a1),f6(a1),a1),f5(f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),x10171,a1))),
% 3.63/3.84 inference(rename_variables,[],[811])).
% 3.63/3.84 cnf(1027,plain,
% 3.63/3.84 (P4(x10271,f5(f5(x10272,f5(x10273,x10271,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[443,165,173,1003,148,811,866,559,844,826,911,938,496,251,320,323,299,312,325,322,327,401])).
% 3.63/3.84 cnf(1034,plain,
% 3.63/3.84 (~P4(f3(f5(x10341,x10342,a1),x10342,a1),x10341,a1)),
% 3.63/3.84 inference(rename_variables,[],[844])).
% 3.63/3.84 cnf(1036,plain,
% 3.63/3.84 (~P4(f5(f5(x10361,f3(x10362,x10363,a1),a1),x10363,a1),x10362,a1)),
% 3.63/3.84 inference(scs_inference,[],[443,165,173,1003,1016,148,87,811,866,559,844,1011,826,911,970,938,496,251,320,323,299,312,325,322,327,401,360,297,375])).
% 3.63/3.84 cnf(1037,plain,
% 3.63/3.84 (~P4(f5(x10371,x10372,a1),x10372,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(1042,plain,
% 3.63/3.84 (P4(x10421,f5(f5(x10422,x10421,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1044,plain,
% 3.63/3.84 (~P4(x10441,f5(f4(a1),x10441,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[443,165,146,173,1003,1016,148,1006,87,88,77,811,866,559,844,1011,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301])).
% 3.63/3.84 cnf(1048,plain,
% 3.63/3.84 (P4(x10481,f5(f5(x10482,x10481,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1052,plain,
% 3.63/3.84 (~P4(x10521,f5(x10521,f3(f4(a1),x10522,a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[105,443,165,146,1042,173,1003,1016,148,1006,85,87,88,77,811,866,559,868,844,1011,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321])).
% 3.63/3.84 cnf(1053,plain,
% 3.63/3.84 (~P4(x10531,f3(x10531,x10532,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[443])).
% 3.63/3.84 cnf(1056,plain,
% 3.63/3.84 (~P4(f5(x10561,x10562,a1),f5(f3(x10561,x10563,a1),x10562,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[105,443,1053,165,146,1042,173,1003,1016,148,1006,85,87,88,77,811,866,559,868,844,1011,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406])).
% 3.63/3.84 cnf(1061,plain,
% 3.63/3.84 (~P4(f5(x10611,x10612,a1),x10612,a1)),
% 3.63/3.84 inference(rename_variables,[],[173])).
% 3.63/3.84 cnf(1063,plain,
% 3.63/3.84 (P4(x10631,f3(f5(f5(x10631,f6(a1),a1),x10632,a1),x10632,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[105,443,1053,165,146,1042,1048,173,1003,1016,1037,148,1006,83,85,87,88,77,811,866,559,868,844,1011,1034,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282])).
% 3.63/3.84 cnf(1068,plain,
% 3.63/3.84 (P4(f5(f4(a1),f6(a1),a1),f5(f5(f5(f6(a1),f4(a1),a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[105,443,1053,165,146,1042,1048,173,1003,1016,1037,1061,148,1006,83,84,85,87,88,77,811,1017,866,559,868,844,1011,1034,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250])).
% 3.63/3.84 cnf(1076,plain,
% 3.63/3.84 (~E(f3(f5(x10761,f6(a1),a1),x10761,a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[105,117,443,1053,165,146,1042,1048,173,1003,1016,1037,1061,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260])).
% 3.63/3.84 cnf(1077,plain,
% 3.63/3.84 (~E(f5(x10771,f6(a1),a1),x10771)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(1078,plain,
% 3.63/3.84 (E(f3(x10781,f5(x10781,x10782,a1),a1),f4(a1))),
% 3.63/3.84 inference(rename_variables,[],[117])).
% 3.63/3.84 cnf(1082,plain,
% 3.63/3.84 (E(x10821,f3(x10821,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[103,105,117,443,1053,165,146,1042,1048,173,1003,1016,1037,1061,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2])).
% 3.63/3.84 cnf(1083,plain,
% 3.63/3.84 (~P4(x10831,f3(f3(f5(x10831,x10832,a1),x10833,a1),x10832,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[103,105,117,443,1053,165,146,1042,1048,173,1003,1016,1037,1061,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,826,911,970,938,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376])).
% 3.63/3.84 cnf(1084,plain,
% 3.63/3.84 (~P4(x10841,f3(x10841,x10842,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[443])).
% 3.63/3.84 cnf(1086,plain,
% 3.63/3.84 (~P4(x10861,f3(f3(f3(x10861,x10862,a1),x10863,a1),x10864,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[103,105,117,443,1053,165,146,1042,1048,173,1003,1016,1037,1061,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300])).
% 3.63/3.84 cnf(1095,plain,
% 3.63/3.84 (P4(x10951,f5(f5(x10952,x10951,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1098,plain,
% 3.63/3.84 (~P3(f3(f2(f10(a15),a16),f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[442,103,105,117,443,1053,1084,165,161,146,1042,1048,173,1003,1016,1037,1061,174,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300,235,347,12,56])).
% 3.63/3.84 cnf(1099,plain,
% 3.63/3.84 (P4(x10991,f5(x10992,f5(f5(f5(x10991,x10993,a1),f6(a1),a1),x10994,a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[442,103,135,105,117,443,1053,1084,165,161,146,1042,1048,173,1003,1016,1037,1061,174,167,148,1006,83,84,85,87,88,77,897,811,1017,866,559,868,844,1011,1034,824,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300,235,347,12,56,58])).
% 3.63/3.84 cnf(1104,plain,
% 3.63/3.84 (P4(x11041,f5(f5(x11042,x11041,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1106,plain,
% 3.63/3.84 (E(f4(a1),f3(x11061,x11061,a1))),
% 3.63/3.84 inference(rename_variables,[],[442])).
% 3.63/3.84 cnf(1111,plain,
% 3.63/3.84 (~E(a1,x11111)+P13(x11111)),
% 3.63/3.84 inference(scs_inference,[],[442,1106,103,135,136,105,117,443,1053,1084,165,161,146,1042,1048,1095,173,1003,1016,1037,1061,96,174,160,167,148,1006,83,84,85,87,88,77,489,615,897,811,1017,866,559,868,844,1011,1034,824,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300,235,347,12,56,58,11,57,3,63,62,53])).
% 3.63/3.84 cnf(1118,plain,
% 3.63/3.84 (P4(x11181,f5(f5(f5(x11182,f4(a1),a1),f6(a1),a1),f5(f5(x11181,x11183,a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[442,1106,103,135,136,105,117,443,1053,1084,165,161,146,1042,1048,1095,1104,173,1003,1016,1037,1061,96,174,160,167,148,1006,130,83,84,85,87,88,76,77,489,615,897,811,1017,866,559,868,885,844,1011,1034,824,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300,235,347,12,56,58,11,57,3,63,62,53,186,274,356,357])).
% 3.63/3.84 cnf(1119,plain,
% 3.63/3.84 (P4(x11191,f5(f5(x11192,x11191,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1128,plain,
% 3.63/3.84 (~E(f5(x11281,f6(a1),a1),x11281)),
% 3.63/3.84 inference(rename_variables,[],[167])).
% 3.63/3.84 cnf(1133,plain,
% 3.63/3.84 (P4(x11331,f5(f5(x11332,x11331,a1),f6(a1),a1),x11333)+~E(a1,x11333)),
% 3.63/3.84 inference(scs_inference,[],[442,1106,159,103,135,136,105,117,1078,443,1053,1084,165,161,146,1042,1048,1095,1104,1119,173,1003,1016,1037,1061,96,174,160,167,1077,1128,148,1006,130,83,84,85,87,88,76,77,489,615,897,881,811,1017,895,866,559,868,885,844,1011,1034,824,826,911,970,938,448,496,477,251,320,323,299,312,325,322,327,401,360,297,375,405,396,301,291,352,321,406,355,290,282,363,250,281,318,260,404,2,376,300,235,347,12,56,58,11,57,3,63,62,53,186,274,356,357,330,233,231,407,59])).
% 3.63/3.84 cnf(1137,plain,
% 3.63/3.84 (E(x11371,f3(x11371,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1138,plain,
% 3.63/3.84 (P13(f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[1082,1137,1133,1111])).
% 3.63/3.84 cnf(1139,plain,
% 3.63/3.84 (E(x11391,f3(x11391,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1141,plain,
% 3.63/3.84 (E(x11411,f3(x11411,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1143,plain,
% 3.63/3.84 (E(x11431,f3(x11431,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1145,plain,
% 3.63/3.84 (E(x11451,f3(x11451,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1147,plain,
% 3.63/3.84 (E(x11471,f3(x11471,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1149,plain,
% 3.63/3.84 (E(x11491,f3(x11491,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1151,plain,
% 3.63/3.84 (E(x11511,f3(x11511,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1153,plain,
% 3.63/3.84 (E(x11531,f3(x11531,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1155,plain,
% 3.63/3.84 (E(x11551,f3(x11551,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1156,plain,
% 3.63/3.84 (P23(f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[90,95,94,89,92,93,91,88,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1133,1111,707,52,51,50,49,48,47,46,45])).
% 3.63/3.84 cnf(1157,plain,
% 3.63/3.84 (E(x11571,f3(x11571,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1159,plain,
% 3.63/3.84 (E(x11591,f3(x11591,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1161,plain,
% 3.63/3.84 (E(x11611,f3(x11611,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1163,plain,
% 3.63/3.84 (E(x11631,f3(x11631,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1164,plain,
% 3.63/3.84 (P20(f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[90,95,94,89,92,86,93,91,84,85,87,88,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41])).
% 3.63/3.84 cnf(1165,plain,
% 3.63/3.84 (E(x11651,f3(x11651,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1166,plain,
% 3.63/3.84 (P19(f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[90,95,94,89,92,86,93,91,83,84,85,87,88,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40])).
% 3.63/3.84 cnf(1167,plain,
% 3.63/3.84 (E(x11671,f3(x11671,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1169,plain,
% 3.63/3.84 (E(x11691,f3(x11691,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1171,plain,
% 3.63/3.84 (E(x11711,f3(x11711,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1173,plain,
% 3.63/3.84 (E(x11731,f3(x11731,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1175,plain,
% 3.63/3.84 (E(x11751,f3(x11751,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1177,plain,
% 3.63/3.84 (E(x11771,f3(x11771,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1179,plain,
% 3.63/3.84 (E(x11791,f3(x11791,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1181,plain,
% 3.63/3.84 (E(x11811,f3(x11811,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1183,plain,
% 3.63/3.84 (E(x11831,f3(x11831,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1185,plain,
% 3.63/3.84 (E(x11851,f3(x11851,f4(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[1082])).
% 3.63/3.84 cnf(1192,plain,
% 3.63/3.84 (~E(f5(f5(f5(f4(a1),f6(a1),a1),x11921,a1),f5(f5(f4(a1),f6(a1),a1),x11921,a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,79,81,82,86,93,97,146,91,83,84,85,87,76,88,77,74,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274])).
% 3.63/3.84 cnf(1201,plain,
% 3.63/3.84 (P4(f5(x12011,x12012,f3(a1,f4(a1),a1)),f5(f5(f5(x12013,x12011,a1),f6(a1),a1),x12012,f3(a1,f4(a1),a1)),f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,79,81,82,86,93,97,146,91,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1063,1027,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361])).
% 3.63/3.84 cnf(1203,plain,
% 3.63/3.84 (~P4(f5(f5(x12031,x12032,a1),f6(a1),a1),x12032,f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,79,81,82,86,93,97,146,91,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1063,1027,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264])).
% 3.63/3.84 cnf(1207,plain,
% 3.63/3.84 (P4(x12071,f5(x12072,f5(f5(f5(x12071,x12073,a1),f6(a1),a1),x12074,a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[1099])).
% 3.63/3.84 cnf(1211,plain,
% 3.63/3.84 (P4(f4(a1),f5(x12111,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[122])).
% 3.63/3.84 cnf(1224,plain,
% 3.63/3.84 (P4(x12241,f5(f5(x12242,x12241,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[146])).
% 3.63/3.84 cnf(1228,plain,
% 3.63/3.84 (~P4(f5(x12281,x12282,a1),f3(x12281,x12283,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,122,1211,91,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,1083,1063,1099,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320])).
% 3.63/3.84 cnf(1234,plain,
% 3.63/3.84 (P4(f5(x12341,x12341,f3(a1,f4(a1),a1)),f5(f5(f5(x12342,x12341,a1),f6(a1),a1),f5(f5(x12342,x12341,a1),f6(a1),a1),f3(a1,f4(a1),a1)),f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,1083,1063,1099,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389])).
% 3.63/3.84 cnf(1236,plain,
% 3.63/3.84 (P4(x12361,f5(f5(f5(f5(x12362,x12361,a1),x12363,a1),f6(a1),a1),x12364,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405])).
% 3.63/3.84 cnf(1239,plain,
% 3.63/3.84 (~P4(f5(f5(f5(f5(x12391,x12392,a1),f6(a1),a1),x12393,a1),x12394,a1),x12392,a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,822,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291])).
% 3.63/3.84 cnf(1242,plain,
% 3.63/3.84 (P4(x12421,f3(f5(f5(f5(x12421,x12422,a1),x12423,a1),f6(a1),a1),x12422,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,148,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,822,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375])).
% 3.63/3.84 cnf(1243,plain,
% 3.63/3.84 (P4(x12431,f5(f5(x12431,x12432,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(1245,plain,
% 3.63/3.84 (P4(f5(x12451,f6(a1),a1),f5(f5(f5(f5(x12452,x12451,a1),f6(a1),a1),x12453,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,148,1243,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,822,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347])).
% 3.63/3.84 cnf(1246,plain,
% 3.63/3.84 (P4(x12461,f5(f5(x12461,x12462,a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[148])).
% 3.63/3.84 cnf(1248,plain,
% 3.63/3.84 (P4(f4(a1),f3(f5(x12481,f6(a1),a1),f4(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,148,1243,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,822,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301])).
% 3.63/3.84 cnf(1250,plain,
% 3.63/3.84 (~P4(f5(x12501,f3(f5(x12502,x12503,a1),x12503,a1),a1),x12502,a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,148,1243,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1076,822,1036,1083,1063,1099,1207,1005,1027,901,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355])).
% 3.63/3.84 cnf(1267,plain,
% 3.63/3.84 (~P4(f5(f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),f6(a1),a1),f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,94,75,78,89,92,137,79,81,82,86,93,97,146,1224,173,122,1211,91,148,1243,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404])).
% 3.63/3.84 cnf(1270,plain,
% 3.63/3.84 (E(f5(x12701,f4(a1),a1),x12701)),
% 3.63/3.84 inference(rename_variables,[],[104])).
% 3.63/3.84 cnf(1274,plain,
% 3.63/3.84 (~E(f5(f5(f5(x12741,f4(a1),a1),f6(a1),a1),x12742,a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[80,90,95,104,94,75,78,89,92,137,79,81,82,86,93,97,171,163,146,1224,173,122,1211,91,148,1243,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,857,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,881,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404,59,2,12,11])).
% 3.63/3.84 cnf(1277,plain,
% 3.63/3.84 (E(f3(f5(x12771,x12772,a1),f5(x12773,x12772,a1),a1),f3(x12771,x12773,a1))),
% 3.63/3.84 inference(rename_variables,[],[139])).
% 3.63/3.84 cnf(1278,plain,
% 3.63/3.84 (~E(f5(f5(x12781,x12782,a1),f6(a1),a1),x12781)),
% 3.63/3.84 inference(scs_inference,[],[139,80,90,95,104,94,75,78,89,92,137,79,81,82,86,93,97,171,163,146,1224,173,122,1211,91,148,1243,1246,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,857,1098,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,881,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404,59,2,12,11,56,58])).
% 3.63/3.84 cnf(1284,plain,
% 3.63/3.84 (~E(x12841,f5(f5(x12842,x12841,a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[139,1277,129,80,90,95,104,1270,94,75,78,89,92,120,137,79,81,82,86,93,97,171,163,146,1224,173,122,1211,91,160,167,148,1243,1246,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,857,1098,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,881,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404,59,2,12,11,56,58,3,63,62,57])).
% 3.63/3.84 cnf(1289,plain,
% 3.63/3.84 (P4(x12891,f5(x12891,f6(f3(a1,f4(a1),a1)),f3(a1,f4(a1),a1)),f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[139,1277,129,80,90,95,104,1270,94,75,78,89,92,120,137,79,81,82,86,93,97,171,163,146,1224,173,122,1211,91,160,167,148,1243,1246,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,857,1098,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,470,881,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404,59,2,12,11,56,58,3,63,62,57,797,272])).
% 3.63/3.84 cnf(1291,plain,
% 3.63/3.84 (~P4(f14(x12911,f3(a1,f4(a1),a1)),f4(f3(a1,f4(a1),a1)),f3(a1,f4(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[139,1277,129,80,90,95,104,1270,94,75,78,89,92,120,137,79,81,82,86,93,97,171,163,146,1224,173,122,1211,91,160,167,148,1243,1246,443,83,84,85,87,76,88,77,74,830,1082,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,857,1098,578,1013,1068,1076,822,1036,1083,1063,1099,1207,1052,1005,1027,901,890,470,881,1133,1111,707,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,227,54,273,274,323,325,361,264,322,327,186,406,297,299,321,352,320,362,401,389,405,291,375,347,301,355,235,300,357,282,363,376,404,59,2,12,11,56,58,3,63,62,57,797,272,252])).
% 3.63/3.84 cnf(1339,plain,
% 3.63/3.84 (P4(x13391,f5(f5(x13392,f5(x13391,x13393,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1340,plain,
% 3.63/3.84 (P4(x13401,f5(f5(x13402,f5(x13401,x13403,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1347,plain,
% 3.63/3.84 (P4(x13471,f5(f5(x13472,f5(x13471,x13473,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1349,plain,
% 3.63/3.84 (P4(f5(f4(a1),f6(a1),a1),f5(f5(f5(x13491,f4(a1),a1),f6(a1),a1),f5(f5(x13491,f4(a1),a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1339,83,76,1289,1166,720,581,1245,368,263,274,290,325])).
% 3.63/3.84 cnf(1356,plain,
% 3.63/3.84 (~P4(x13561,f3(f3(f3(x13561,x13562,a1),x13563,a1),x13564,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[1086])).
% 3.63/3.84 cnf(1361,plain,
% 3.63/3.84 (~P4(f5(x13611,f3(f5(x13612,x13613,a1),x13613,a1),a1),x13612,a1)),
% 3.63/3.84 inference(rename_variables,[],[1250])).
% 3.63/3.84 cnf(1371,plain,
% 3.63/3.84 (P4(f5(f4(a1),f6(a1),a1),f5(f5(f5(f5(x13711,f4(a1),a1),x13712,a1),f6(a1),a1),f5(f5(f5(x13711,f4(a1),a1),x13712,a1),f6(a1),a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1339,174,165,122,83,87,76,88,1289,1166,1164,1201,720,581,1250,1236,1245,1086,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322])).
% 3.63/3.84 cnf(1372,plain,
% 3.63/3.84 (P4(x13721,f5(f5(f5(f5(x13722,x13721,a1),x13723,a1),f6(a1),a1),x13724,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[1236])).
% 3.63/3.84 cnf(1381,plain,
% 3.63/3.84 (~E(f3(f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),f4(a1))),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1339,174,165,122,83,87,76,88,1289,1166,1164,1201,805,722,720,581,1250,1236,1245,855,465,1118,1086,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260])).
% 3.63/3.84 cnf(1382,plain,
% 3.63/3.84 (~E(f5(f5(f5(f4(a1),f6(a1),a1),f6(a1),a1),x13821,a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(rename_variables,[],[722])).
% 3.63/3.84 cnf(1388,plain,
% 3.63/3.84 (~P4(f5(x13881,f3(f5(x13882,x13883,a1),x13883,a1),a1),x13882,a1)),
% 3.63/3.84 inference(rename_variables,[],[1250])).
% 3.63/3.84 cnf(1394,plain,
% 3.63/3.84 (~P4(f5(x13941,x13942,a1),x13941,a1)),
% 3.63/3.84 inference(rename_variables,[],[174])).
% 3.63/3.84 cnf(1397,plain,
% 3.63/3.84 (P4(x13971,f5(f5(f5(f5(x13972,x13971,a1),x13973,a1),f6(a1),a1),x13974,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[1236])).
% 3.63/3.84 cnf(1399,plain,
% 3.63/3.84 (~E(f5(f5(x13991,x13992,a1),f5(f5(x13993,f5(x13994,x13995,a1),a1),f6(a1),a1),a1),f5(x13994,x13991,a1))),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1339,174,1394,165,122,119,83,85,87,76,88,1289,1166,1164,1156,1201,805,722,1203,720,581,1250,1361,1242,1236,1372,1245,855,465,1118,1086,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321])).
% 3.63/3.84 cnf(1402,plain,
% 3.63/3.84 (P4(x14021,f5(f5(x14022,f5(x14021,x14023,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1408,plain,
% 3.63/3.84 (~P4(x14081,f3(f3(f3(f3(x14081,x14082,a1),x14083,a1),x14084,a1),x14085,a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1402,1339,174,1394,165,122,119,83,85,87,76,88,1289,1166,1164,1156,1201,805,722,1203,720,581,1250,1361,1242,1236,1372,1245,855,465,1118,1086,1356,517,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300])).
% 3.63/3.84 cnf(1409,plain,
% 3.63/3.84 (~P4(x14091,f3(f3(f3(x14091,x14092,a1),x14093,a1),x14094,a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[1086])).
% 3.63/3.84 cnf(1411,plain,
% 3.63/3.84 (P4(x14111,f5(x14112,f3(f5(f5(x14111,f6(a1),a1),x14113,a1),x14113,a1),a1),a1)),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1402,1339,174,1394,165,122,119,83,85,87,76,88,1289,1166,1164,1156,1201,805,722,1203,720,581,1250,1361,1388,1242,1236,1372,1245,855,465,1118,1086,1356,517,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300,282])).
% 3.63/3.84 cnf(1418,plain,
% 3.63/3.84 (~P4(f5(f5(f3(x14181,x14182,a1),x14183,a1),x14182,a1),x14181,a1)),
% 3.63/3.84 inference(scs_inference,[],[445,1340,1347,1402,1339,174,1394,165,122,119,83,85,87,76,88,1289,1166,1164,1156,1201,805,722,1382,1203,720,581,1250,1361,1388,1242,1236,1372,1245,855,465,1118,1086,1356,517,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300,282,356,318,375])).
% 3.63/3.84 cnf(1435,plain,
% 3.63/3.84 (E(f5(x14351,f3(f5(x14352,x14353,a1),f5(x14352,x14354,a1),a1),x14355),f5(x14351,f3(x14353,x14354,a1),x14355))),
% 3.63/3.84 inference(scs_inference,[],[140,445,1340,1347,1402,1339,174,1394,165,122,119,130,173,83,85,87,76,88,1289,1166,1164,1156,1201,805,722,1382,1203,720,581,1250,1361,1388,1242,1236,1372,1397,1228,1245,855,465,1118,1086,1356,1409,517,1044,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300,282,356,318,375,301,235,355,376,404,12])).
% 3.63/3.84 cnf(1438,plain,
% 3.63/3.84 (E(f3(f5(x14381,x14382,a1),f5(x14381,x14383,a1),a1),f3(x14382,x14383,a1))),
% 3.63/3.84 inference(rename_variables,[],[140])).
% 3.63/3.84 cnf(1439,plain,
% 3.63/3.84 (E(f3(x14391,x14392,a1),f3(f5(x14393,x14391,a1),f5(x14393,x14392,a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[161,140,1438,445,1340,1347,1402,1339,174,1394,165,122,119,130,173,83,85,87,76,88,1289,1291,1166,1164,1156,1201,805,722,1382,1203,720,581,1250,1361,1388,1242,1236,1372,1397,1228,567,1245,855,465,1118,1086,1356,1409,517,1044,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300,282,356,318,375,301,235,355,376,404,12,56,59,2])).
% 3.63/3.84 cnf(1441,plain,
% 3.63/3.84 (~E(f12(f9(x14411,x14412),x14413,x14414),f10(x14415))),
% 3.63/3.84 inference(scs_inference,[],[161,140,1438,134,445,1340,1347,1402,1339,159,174,1394,165,122,119,130,173,83,85,87,76,88,1289,1291,1166,1164,1156,1201,805,722,1382,1203,720,581,1250,1361,1388,1242,1236,1372,1397,1228,567,1245,855,465,1118,1086,1356,1409,517,1044,901,368,263,274,290,325,360,186,323,299,406,361,264,362,322,401,327,260,405,297,291,347,352,321,320,357,300,282,356,318,375,301,235,355,376,404,12,56,59,2,11,3])).
% 3.63/3.84 cnf(1589,plain,
% 3.63/3.84 (P4(x15891,f5(f5(x15892,f5(x15891,x15893,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1592,plain,
% 3.63/3.84 (P4(x15921,f5(f5(x15922,f5(x15921,x15923,a1),a1),f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[445])).
% 3.63/3.84 cnf(1599,plain,
% 3.63/3.84 (~E(f5(x15991,f5(f5(f5(f4(a1),f6(a1),a1),x15992,a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.84 inference(scs_inference,[],[113,158,445,1589,96,146,83,171,76,1234,1138,1278,1439,1166,1242,53,29,23,24,270,273,290,263,323,292])).
% 3.63/3.84 cnf(1600,plain,
% 3.63/3.84 (~E(f5(f5(x16001,x16002,a1),f6(a1),a1),x16001)),
% 3.63/3.84 inference(rename_variables,[],[1278])).
% 3.63/3.84 cnf(1611,plain,
% 3.63/3.84 (P4(f4(a1),f5(x16111,f6(a1),a1),a1)),
% 3.63/3.84 inference(rename_variables,[],[122])).
% 3.63/3.85 cnf(1645,plain,
% 3.63/3.85 (P4(x16451,f5(f5(x16452,f5(x16451,x16453,a1),a1),f6(a1),a1),a1)),
% 3.63/3.85 inference(rename_variables,[],[445])).
% 3.63/3.85 cnf(1661,plain,
% 3.63/3.85 (P4(x16611,f5(f5(x16612,f5(x16611,x16613,a1),a1),f6(a1),a1),a1)),
% 3.63/3.85 inference(rename_variables,[],[445])).
% 3.63/3.85 cnf(1664,plain,
% 3.63/3.85 (~E(f5(f5(x16641,x16642,a1),f5(f5(x16643,f5(x16644,x16645,a1),a1),f6(a1),a1),a1),f5(x16644,x16641,a1))),
% 3.63/3.85 inference(rename_variables,[],[1399])).
% 3.63/3.85 cnf(1665,plain,
% 3.63/3.85 (~P4(f5(x16651,x16652,a1),x16651,a1)),
% 3.63/3.85 inference(rename_variables,[],[174])).
% 3.63/3.85 cnf(1676,plain,
% 3.63/3.85 (~P3(f10(f2(a15,f5(a16,f6(a1),a1))))),
% 3.63/3.85 inference(scs_inference,[],[161,113,131,158,445,1589,1592,1645,96,146,174,443,84,83,171,85,122,1611,87,76,88,1234,1435,1192,1138,1278,1439,1399,1664,1381,1267,1418,945,1408,1411,1239,1371,1349,1056,1248,450,1166,1052,1242,53,29,23,24,270,273,290,263,323,292,299,327,325,322,186,360,405,361,250,357,264,401,282,297,321,291,352,320,301,347,300,356,375,235,355,376,404,12,56])).
% 3.63/3.85 cnf(1683,plain,
% 3.63/3.85 (~E(f5(f5(x16831,f6(a1),a1),x16832,a1),x16831)),
% 3.63/3.85 inference(scs_inference,[],[161,113,131,158,445,1589,1592,1645,1661,96,160,146,174,1665,443,84,83,171,85,122,1611,87,76,88,1441,1234,1435,627,1192,1138,1278,1600,1439,1399,1664,1381,1267,1418,945,1408,1411,1239,1371,1349,1056,1248,450,1166,1052,1082,1242,53,29,23,24,270,273,290,263,323,292,299,327,325,322,186,360,405,361,250,357,264,401,282,297,321,291,352,320,301,347,300,356,375,235,355,376,404,12,56,2,59,62,58,11])).
% 3.63/3.85 cnf(1755,plain,
% 3.63/3.85 (~E(f5(f5(f5(x17551,f4(a1),a1),f6(a1),a1),x17552,a1),f4(a1))),
% 3.63/3.85 inference(rename_variables,[],[1274])).
% 3.63/3.85 cnf(1756,plain,
% 3.63/3.85 (~E(f5(x17561,f5(f5(f5(f4(a1),f6(a1),a1),x17562,a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))),
% 3.63/3.85 inference(rename_variables,[],[1599])).
% 3.63/3.85 cnf(1770,plain,
% 3.63/3.85 ($false),
% 3.63/3.85 inference(scs_inference,[],[448,445,165,1683,1599,1756,1284,1676,1274,1755,100,251,293,364,295,319,380,177]),
% 3.63/3.85 ['proof']).
% 3.63/3.85 % SZS output end Proof
% 3.63/3.85 % Total time :3.110000s
%------------------------------------------------------------------------------